9.1. Isotopically steady state 13C MFA

9.1.1. License information

The data and model used in this notebook comes from

Alagesan, S., Minton, N.P. & Malys, N. 13C-assisted metabolic flux analysis to investigate heterotrophic and mixotrophic metabolism in Cupriavidus necator H16. Metabolomics 14, 9 (2018). https://doi.org/10.1007/s11306-017-1302-z

and is licensed under a Creative Commons Attribution 4.0 International License.

You should have received a copy of the license along with this work. If not, see http://creativecommons.org/licenses/by/4.0/.

9.1.2. Description of data

Alagesan and their colleagues aims to investigate the difference between heterotrophic and mixotrophic metabolism in Cupriavidus necator H16. They setup of three experimental condition differing in the available carbon sources. Two heterotrophic growth conditions using either [1-13C]fructose, or [1,2-13C]Glycerol as the sole carbon source and one mixotrophic condition using a mix of [1,2-13C]Glycerol and unlabelled CO2 as carbon source. All cultures are growth as batch cultures and samples were drawn during exponential growth phase.

[1]:
import pandas as pd
import numpy as np
import dotenv
import ast
import pandera as pa
import incawrapper
from incawrapper import utils
from incawrapper import visualization
[2]:
# import environment variables
INCA_base_directory = dotenv.get_key(dotenv.find_dotenv(), "INCA_base_directory")

9.1.3. Importing and processing data

We will try to make this tutorial as realistic as possible, therefore we will also include some data preprocessing to show case an example of how to get the data into the correct format. We have taken the data from the supplementary materials from the article described above. The actual supplementary materials is a word document, therefore we manually extracted the data into a series of csv and excel files.

Reaction data

As a beginning we will have a look at the reactions and atom map from the article.

[3]:
reacts = pd.read_excel("./Literature data/Cupriavidus necator  Alagesan 2017/reactions.xlsx")
reacts
[3]:
Reaction ID Equations (Carbon atom transition)
0 ex_1 FRU.ext (abcdef) -> F6P (abcdef)
1 ex_2 GLY.ext (abc) -> GLY (abc)
2 R1 GLY (abc) -> DHAP (abc)
3 R2 F6P (abcdef) -> G6P (abcdef)
4 R3 G6P (abcdef) -> F6P (abcdef)
... ... ...
69 R68 ANTHR (abcdefg) + R5P (hijkl) -> CPADR5P (abcd...
70 R69 CPADR5P (abcdefghijkl) -> INDG (abcdfghijkl) +...
71 R70 INDG (abcdfghijkl) -> TRP (abcdfghijkl)
72 R71 R5P (abcde) + MTHF (f)-> HIS (edcbaf)
73 R72 ACCOA -> PHB_B

74 rows × 2 columns

We see that the model contains 74 reaction. The incawrapper uses the package Pandera to validate the input data. We can check if the reaction data correctly formatted according to the ReactionsSchema. We will wrap it in a try-except clause to create an output that is easier to interpret.

[4]:
try:
    incawrapper.ReactionsSchema.validate(reacts)
except pa.errors.SchemaError as e:
    print(type(e))
    print(e)
<class 'pandera.errors.SchemaError'>
column 'rxn_id' not in dataframe
  Reaction ID Equations (Carbon atom transition)
0        ex_1   FRU.ext (abcdef) -> F6P (abcdef)
1        ex_2         GLY.ext (abc) -> GLY (abc)
2          R1            GLY (abc) -> DHAP (abc)
3          R2       F6P (abcdef) -> G6P (abcdef)
4          R3       G6P (abcdef) -> F6P (abcdef)

We see that the schema does not pass the validation as a SchemaError is raised. Furthermore, Pandera informs us that the schema expects a column named rxn_eqn which is not found. Let’s have a look at what are actually requirements for the model_reaction_schema.

[5]:
utils.present_schema_overview(incawrapper.ReactionsSchema)
column name dtype required nullable description
0 rxn_id str True False The unique id of the reaction
1 rxn_eqn str True False The reaction equation with atom map. Allowed reaction arrows: ->, <->.

The ReactionsSchema requires two columns rxn_eqn and rxn_id. Let’s rename the columns of the reactions data and rerun the validation.

[6]:
reacts_renamed = (reacts
    .copy()
    .rename(columns={"Reaction ID": "rxn_id", "Equations (Carbon atom transition)":"rxn_eqn"})
)
incawrapper.ReactionsSchema.validate(reacts_renamed)
reacts_renamed
[6]:
rxn_id rxn_eqn
0 ex_1 FRU.ext (abcdef) -> F6P (abcdef)
1 ex_2 GLY.ext (abc) -> GLY (abc)
2 R1 GLY (abc) -> DHAP (abc)
3 R2 F6P (abcdef) -> G6P (abcdef)
4 R3 G6P (abcdef) -> F6P (abcdef)
... ... ...
69 R68 ANTHR (abcdefg) + R5P (hijkl) -> CPADR5P (abcd...
70 R69 CPADR5P (abcdefghijkl) -> INDG (abcdfghijkl) +...
71 R70 INDG (abcdfghijkl) -> TRP (abcdfghijkl)
72 R71 R5P (abcde) + MTHF (f)-> HIS (edcbaf)
73 R72 ACCOA -> PHB_B

74 rows × 2 columns

The reactions data passed the validation. We also notice that some reactions are the reverse of one anther, look at reaction R2 and R3 above. This is not a problem, but the often we are mainly interested in the net reaction. To avoid calculating the net reactions after the analysis, we will merge the reactions into one reversible reaction. The utils module has a small function called the merge_reversible_reaction.

[7]:
reacts_merged = utils.merge_reaverible_reaction(reacts_renamed)
reacts_merged.head()
Found inverse reaction: F6P (abcdef) -> G6P (abcdef) and G6P (abcdef) -> F6P (abcdef)
Found inverse reaction: F16P (abcdef) -> DHAP (cba) + G3P (def) and DHAP (cba) + G3P (def) -> F16P (abcdef)
Found inverse reaction: DHAP (abc) -> G3P (abc) and G3P (abc) -> DHAP (abc)
Found inverse reaction: G3P (abc) -> 3PG (abc) and 3PG (abc) -> G3P (abc)
Found inverse reaction: 3PG (abc) -> PEP (abc) and PEP (abc) -> 3PG (abc)
Found inverse reaction: PEP (abc) -> PYR (abc) and PYR (abc) -> PEP (abc)
Found inverse reaction: CIT (abcdef) -> ISCIT (abcdef) and ISCIT (abcdef) -> CIT (abcdef)
Found inverse reaction: SUC (abcd) -> MAL (abcd) and MAL (abcd) -> SUC (abcd)
Found inverse reaction: MAL (abcd) -> OAA (abcd) and OAA (abcd) -> MAL (abcd)
Found inverse reaction: PEP (abc) + CO2 (d) -> OAA (abcd) and OAA (abcd) -> PEP (abc) + CO2 (d)
Found inverse reaction: RU5P (abcde) -> R5P (abcde) and R5P (abcde) -> RU5P (abcde)
Found inverse reaction: RU5P (abcde) -> X5P (abcde) and X5P (abcde) -> RU5P (abcde)
Found inverse reaction: X5P (abcde) + R5P (fghij) -> G3P (cde) + S7P (abfghij) and G3P (cde) + S7P (abfghij) -> X5P (abcde) + R5P (fghij)
Found inverse reaction: S7P (abcdefg) + G3P (hij) -> E4P (defg) + F6P (abchij) and E4P (defg) + F6P (abchij) -> S7P (abcdefg) + G3P (hij)
Found inverse reaction: E4P (fghi) + X5P (abcde) -> F6P (abfghi) + G3P (cde) and F6P (abfghi) + G3P (cde) -> E4P (fghi) + X5P (abcde)
Merged 15 reactions
[7]:
rxn_id rxn_eqn
0 ex_1 FRU.ext (abcdef) -> F6P (abcdef)
1 ex_2 GLY.ext (abc) -> GLY (abc)
2 R1 GLY (abc) -> DHAP (abc)
3 R2 F6P (abcdef) <-> G6P (abcdef)
5 R4 F16P (abcdef) -> F6P (abcdef)

We see that several reactions were successfully merged.

[8]:
reacts_processed = reacts_merged.copy()

Tracer information

Now, we are ready to define the tracers that is used for the different experiments. This information is lifted from the materials and methods. They used substrates with 99 atom% purity for both the D-[1-13C]fructose, and [1,2-13C]glycerol. For the mixotrophic growth experiment they use two substrate [1,2-13C]glycerol and CO2. We will assume that the CO2 is unlabelled, i.e. labelled with natural abundance. Therefore, we will not consider the CO2 in the tracer specification.

[9]:
tracer_info = pd.DataFrame.from_dict({
    'experiment_id': [
        'fructose', 'glycerol', 'mixotroph',
    ],
    'met_id': ['FRU.ext', 'GLY.ext', 'GLY.ext'],
    'tracer_id': [
        'D-[1-13C]fructose', '[1,2-13C]glycerol', '[1,2-13C]glycerol',
    ],
    'atom_ids': [
        [1], [1,2], [1,2],
    ],
    'atom_mdv': [
        [0.01,0.99], [0.01,0.99],[0.01,0.99],
    ],
    'enrichment': [
        1, 1, 1,
    ]
}, orient='columns')
tracer_info.head()
[9]:
experiment_id met_id tracer_id atom_ids atom_mdv enrichment
0 fructose FRU.ext D-[1-13C]fructose [1] [0.01, 0.99] 1
1 glycerol GLY.ext [1,2-13C]glycerol [1, 2] [0.01, 0.99] 1
2 mixotroph GLY.ext [1,2-13C]glycerol [1, 2] [0.01, 0.99] 1
[10]:
try:
    incawrapper.TracerSchema.validate(tracer_info)
except Exception as e:
    print(e)

The dataframe passed the validation, so we can move on to prepare the isopomer distribution vectors (idvs) also called the mass distribution vectors (mdvs).

MS measurements

We will first inspect the data schema to inspect the required data structure.

[11]:
utils.present_schema_overview(incawrapper.MSMeasurementsSchema)

column name dtype required nullable description
0 experiment_id str True False ID of the experiment. Must be a valid MATLAB variable name, legal characters are a-z, A-Z, 0-9, and the underscore character.
1 met_id str True False Metabolite ID of metabolite which is directly measured or from which the fragment is derived through a derivatization method.
2 ms_id str True False ID of the measured ms fragment - often multiple fragment can be measured from the same metabolite
3 measurement_replicate int64 True False Replicate number of the measurement of the same fragment in the same experiment. \n"In most cases, the data will only have one measurement per fragment per experiment.
4 labelled_atom_ids object True False List of atom ids of the labelled atoms in the metabolite.
5 unlabelled_atoms str False True The molecular formula of the all atoms that cannot be labelled through \nthe introduced labels in the tracers. This typically includes non-carbon elements of the fragment and all elements originating from derivatization agent. \nINCA uses the unlabelled atoms to correct for natural abundance.
6 mass_isotope int64 True False The mass isotopomer of the fragment.\nE.g. M0, M+1, etc. Specified as an integer. It is allowed to have gaps in the isotopmer of a given fragment, e.g. 0, 2, 3. In this case the intensity and \nstd error of missing isotopomers are filled with NaN before inserted in INCA.
7 intensity float64 True True The measured intensity of the fragment mass isotope.
8 intensity_std_error float64 True True The standard error of the measured intensity of the fragment mass isotope.
9 time float64 True False Time point of measurement only relevant for isotopically non-stationary MFA analysis

This provides a overview of which columns are required. Next, we load the MS data set from the article. We have copied the tables from the word document into an excel-workbook with three sheets one for each experiment (Fructose, Glycerol, GlycerolAndCO2). Lets have a look at the content of one of the sheets:

[12]:
pd.read_excel("Literature data/Cupriavidus necator  Alagesan 2017/MDV_raw.xlsx", sheet_name='fructose').head()
[12]:
Amino Acid Unnamed: 1 m/z M M+1 M+2 M+3 M+4 M+5 M+6 M+7 M+8 M+9
0 Alanine [M-85] 232 0.9759 ± 0.0027 0.0230 ± 0.0035 0.0011 ± 0.0009 0 0 0 0 0 0 0
1 NaN [M-57] 260 0.3509 ± 0.0135 0.6407 ± 0.0138 0.0078 ± 0.0003 0.0006 ± 0.0006 0 0 0 0 0 0
2 Glycine [M-85] 218 0.9950 ± 0.0021 0.0049 ± 0.0021 0 0 0 0 0 0 0 0
3 NaN [M-57] 246 0.9357 ± 0.0068 0.0638 ± 0.0072 0.0005 ± 0 NaN 0 0 0 0 0 0
4 Valine [M-85] 260 0.9513 ± 0.0058 0.0436 ± 0.0057 0.0049 ± 0.0005 0 0.00003 ± 0 0 0 0 0 0

The MSMeasurementSchema requires the data in long (tidy) format. Therefore, we have written up a small function which parses a single sheet into long format. This function is obviously specific for this particular data set, but can serve as inspiration for similar raw data files.

[13]:
def parse_mdv_raw_to_long(df: pd.DataFrame, experiment_id: str)-> pd.DataFrame:
    df['Amino Acid'] = df['Amino Acid'].ffill()
    long = df.melt(id_vars=['Amino Acid', 'Unnamed: 1', 'm/z'], var_name='mass_isotope').drop(columns=['Unnamed: 1'])
    long[['intensity', 'intensity_std_error']] = long['value'].str.split(r'±|\+', regex=True, expand=True)
    long.drop(columns=['value'], inplace=True)

    # convert strings to floats
    long['intensity'] = long['intensity'].str.strip().astype(float)
    long['intensity_std_error'] = long['intensity_std_error'].str.strip().astype(float)

    # some amino acids have trailing spaces
    long['Amino Acid'] = long['Amino Acid'].str.strip()

    # make ids
    long['fragment_id'] = long['Amino Acid'].str.replace(" ", '') + long['m/z'].astype(str)
    long['experiment_id'] = experiment_id
    return long.dropna()

Now we will simply loop over the sheets of the excel-workbook and parse each sheet with the parser written above and stack the dataframes to obtain one dataframe in long format with data from all three experiments.

[14]:
xl_file = pd.ExcelFile("Literature data/Cupriavidus necator  Alagesan 2017/MDV_raw.xlsx")
mdvs_long = pd.DataFrame()
for sheet in xl_file.sheet_names:
    df = xl_file.parse(sheet)
    df = parse_mdv_raw_to_long(df, experiment_id=sheet)
    mdvs_long = pd.concat([mdvs_long, df])
mdvs_long.reset_index(drop=True, inplace=True)

mdvs_long.head()
[14]:
Amino Acid m/z mass_isotope intensity intensity_std_error fragment_id experiment_id
0 Alanine 232 M 0.9759 0.0027 Alanine232 fructose
1 Alanine 260 M 0.3509 0.0135 Alanine260 fructose
2 Glycine 218 M 0.9950 0.0021 Glycine218 fructose
3 Glycine 246 M 0.9357 0.0068 Glycine246 fructose
4 Valine 260 M 0.9513 0.0058 Valine260 fructose

INCA has troubles if the measurement errors are too small or 0. Therefore we will just check the std errors in the data.

[15]:
mdvs_long['intensity_std_error'].describe()
[15]:
count    333.000000
mean       0.009974
std        0.010750
min        0.000000
25%        0.001500
50%        0.005200
75%        0.015800
max        0.054400
Name: intensity_std_error, dtype: float64

We see that there are som std error = 0, this will cause issues with INCA. Therefore will will apply a minimum error of 1e-4.

[16]:
# set minumum std_error to
minimum_std_error = 1e-4
mdvs_long.loc[mdvs_long['intensity_std_error'] < minimum_std_error, 'intensity_std_error'] = minimum_std_error

We see that the Amino acid names does not match the metabolite IDs in used in the reactions of the model. To accommodate this, we manually created a map between the metabolite IDs in the model and the amino acid names used in the data.

[17]:
met_abbriviations = {
    'Alanine' : 'ALA' , 'Aspartic acid' : 'ASP' , 'Glycine' : 'GL' ,
    'Glutamic acid' : 'GLU' , 'Histidine' : 'HIS' , 'Isoleucine' : 'ILE' ,
    'Leucine' : 'LEU' , 'Methionine' : 'MET' , 'Phenylalanine' : 'PHE' ,
    'Serine' : 'SER' , 'Threonine' : 'THR' , 'Valine' : 'VAL'
}

We can create a new column with the correct names using .map()

[18]:
mdvs_long['met_id'] = mdvs_long['Amino Acid'].map(met_abbriviations)

The mass isotopomers has to be specified as integers. Currently, they are specified as M, M+1 etc.

[19]:
mdvs_long['mass_isotope'].unique()
[19]:
array(['M', 'M+1', 'M+2', 'M+3', 'M+4', 'M+5', 'M+6', 'M+7', 'M+8', 'M+9'],
      dtype=object)

We make a small function to convert these values into integers.

[20]:
def mass_isotope_to_int(mass_isotope: str)-> int:
    if isinstance(mass_isotope, int): # avoids error when rerunning the cell
        return mass_isotope
    elif mass_isotope == "M":
        return 0
    else:
        return int(mass_isotope.replace("M+", ""))
mass_isotope_to_int("M+1")
[20]:
1
[21]:
mdvs_long['mass_isotope'] = mdvs_long['mass_isotope'].apply(mass_isotope_to_int)
mdvs_long.head()
[21]:
Amino Acid m/z mass_isotope intensity intensity_std_error fragment_id experiment_id met_id
0 Alanine 232 0 0.9759 0.0027 Alanine232 fructose ALA
1 Alanine 260 0 0.3509 0.0135 Alanine260 fructose ALA
2 Glycine 218 0 0.9950 0.0021 Glycine218 fructose GL
3 Glycine 246 0 0.9357 0.0068 Glycine246 fructose GL
4 Valine 260 0 0.9513 0.0058 Valine260 fructose VAL

So far so good, but we are still missing information about which carbon atoms from the metabolite are found in each fragment (labelled_atom_ids). If we want to do natural abundance correction through INCA we should also supply the chemical formula of all the unlabelled atoms of the fragment. We have stored this information in a separate csv file. The labelled atoms column contains a list as a string therefore we will use the trick from section “Note about formatting when reading csv and and excel files” in the input data description.

[22]:
fragments = pd.read_csv('Literature data/Cupriavidus necator  Alagesan 2017/fragments.csv', sep='\t', converters={'labelled_atoms': ast.literal_eval})
fragments.head()
[22]:
selected fragment_id metabolite_id labelled_atoms unlabelled_atoms active formula
0 True Tyrosine302 tyr__L [1, 2] C12H32O2NSi2 True C14H32O2NSi2
1 False Lysine431 lys__L [1, 2, 3, 4, 5, 6] C14H47O2N2Si3 True C20H47O2N2Si3
2 False Lysine329 lys__L [2, 3, 4, 5, 6] C12H41N2Si2 True C17H41N2Si2
3 False Histidine338 his__L [2, 3, 4, 5, 6] C12H36N3Si2 False C17H36N3Si2
4 False Histidine440 his__L [1, 2, 3, 4, 5, 6] C14H42O2N3Si3 False C20H42O2N3Si3

We will need to merge this information into the measurement data and for clarity we drop all the columns that are not required, even though it is allowed to have extra columns.

[23]:
ms_data = (mdvs_long
    .merge(
        fragments[['fragment_id', 'labelled_atoms', 'unlabelled_atoms']],
        on='fragment_id', how='left'
    )
    .rename(columns={ # rename columns to match the schema
        'fragment_id': 'ms_id',
        'labelled_atoms': 'labelled_atom_ids',
    })
    .drop(columns=['Amino Acid', 'm/z'])
)
ms_data.head()
[23]:
mass_isotope intensity intensity_std_error ms_id experiment_id met_id labelled_atom_ids unlabelled_atoms
0 0 0.9759 0.0027 Alanine232 fructose ALA [2, 3] C8H26ONSi2
1 0 0.3509 0.0135 Alanine260 fructose ALA [1, 2, 3] C8H26O2NSi2
2 0 0.9950 0.0021 Glycine218 fructose GL [2] C8H24ONSi2
3 0 0.9357 0.0068 Glycine246 fructose GL [1, 2] C8H24O2NSi2
4 0 0.9513 0.0058 Valine260 fructose VAL [2, 3, 4, 5] C8H30ONSi2

Finally, the MS measurement data frame is lacking a time and a measurement replicate column. The time is only used for Isotopically non-stationary MFA, but due to the way the incawrapper works it is a required input also for isotopically stationary MFA. In that case fill the time column with zeros. Regarding measurement_replicate this dataset contains a single replicate for per measurement, therefore we will simply fill the column with 1.

[24]:
ms_data['time'] = 0
ms_data['measurement_replicate'] = 1

The data contains measurements from a fragment called Methionine292, we don’t immediately know the labelled atom ids for this fragment, which resulted in Nan’s in the labelled atom ids columns. We will just remove these measurements from the data.

[25]:
ms_data = ms_data.query('ms_id != "Methionine292"')

[26]:
try:
    incawrapper.MSMeasurementsSchema.validate(ms_data)
except Exception as e:
    print(e)

Flux measurements

We see that the MS measurements passes the validation and we can now create proceed to the measurements of the fluxes. In this data set we only have one flux measurement for each experiment, i.e. the uptake rate of the main substrate. Therefore, this will just act as a scaling factor for all the flux and will not affect the ratios between the fluxes. To make the calculated fluxes comparable to the once in figure 2 in the article, we will set the uptakes rates to 1, instead of the measured uptake rates.

Known inactive reactions

The experiments utilizes different substrates. Thus, the model should not be able to import glycerol if it wasn’t present in the medium. There are two ways to handle this situation. The first method is to remove the reactions that are known to be inactive. Here one should pay special attention to the “source” metabolites of the INCA model. INCA automatically determine which metabolites are “sources” and “sinks”, if a metabolite is only consumed in the model it is considered a “source”, and a “sink” if it is only produced in the model.

In this model the glycerol uptake goes through the following reactions:

[27]:
reacts_processed.query('rxn_eqn.str.contains("GLY ") | rxn_eqn.str.contains("GLY.ext") | rxn_eqn.str.contains("DHAP ")')
[27]:
rxn_id rxn_eqn
1 ex_2 GLY.ext (abc) -> GLY (abc)
2 R1 GLY (abc) -> DHAP (abc)
6 R5 F16P (abcdef) <-> DHAP (cba) + G3P (def)
8 R7 DHAP (abc) <-> G3P (abc)
45 R44 DHAP (efg) + E4P (abcd) -> S7P (gfeabcd)

If one removes the reaction ex_2, then GLY simply becomes a source, because it is not produced in any reaction in the model. Thus, in this model one needs to remove both reaction ex_2 and R1 to prevent the model from taking up glycerol. It is easy to make mistakes so once should be careful when removing reactions.

Instead, we suggest to set a measurement of 0 and a small measurement error for the in active reactions.

Note: It is possible to “fix” fluxes at a certain value, but in our experience this leads to issues for INCAs solver and produces’ a “Network is ill-conditioned” warning.

[28]:
flux_measurements = pd.DataFrame.from_dict({
    'experiment_id': ['fructose', 'fructose', 'glycerol', 'glycerol', 'mixotroph', 'mixotroph'],
    'rxn_id': ['ex_1', 'ex_2', 'ex_1', 'ex_2', 'ex_1', 'ex_2'],
    'flux': [1, 0, 0, 1, 0, 1],
    'flux_std_error': [0.05, minimum_std_error, minimum_std_error, 0.05, minimum_std_error, 0.05],
})
flux_measurements
[28]:
experiment_id rxn_id flux flux_std_error
0 fructose ex_1 1 0.0500
1 fructose ex_2 0 0.0001
2 glycerol ex_1 0 0.0001
3 glycerol ex_2 1 0.0500
4 mixotroph ex_1 0 0.0001
5 mixotroph ex_2 1 0.0500

9.1.4. Creating an INCA script

We will use the function create_inca_script_from_data(). This function automatically determines measurement/data types in each experiment and build an INCA script for all or only the desired experiments. All experiments in the same INCA script will be fitted together, thus should be under the exact same biological conditions only varying in tracer, e.g. parallel labelling experiments one with [1-13C]Glucose and another with [1,2-13C]Glucose. The three experiments, fructose, glycerol and mixotroph, deploys different substrates. Thus, they cannot be considered parallel labelling experiments and therefore we need to fit the data from each experiment individually. This means that we need to create an INCA script for each of them.

We will start with just one of the three experiments, fructose.

[29]:
script_fructose = incawrapper.create_inca_script_from_data(
    reactions_data=reacts_processed,
    flux_measurements=flux_measurements,
    tracer_data=tracer_info,
    ms_measurements=ms_data,
    experiment_ids=['fructose']
)

The incawrapper has now created most of the INCA script. Currently, all options are at their default setting (see the INCA documentation see <your-inca-installation-folder>/doc/inca/class/@option/option.html). We discussed earlier that the MS data was all ready corrected for natural abundance, we will assume that this also included correction for unlabelled atoms. Therefore, we will specify two INCA settings: sim_na and sim_more. First, determines whether to simulate of the natural abundance of the labelled atoms, and the second of the unlabelled atoms. Additionally we will specify that the algorithm should do 100 restarts during the estimation algorithm.

[30]:
script_fructose.add_to_block("options", incawrapper.define_options(sim_na=False, sim_more=False, fit_starts=100))

Next, we will specify which algorithms to run in this example we will use estimate, continuate and simulate (simulate is required for the results to be opened in the INCA GUI).

[31]:
OUTPUT_FILE_FRUCTOSE = "Literature data/Cupriavidus necator  Alagesan 2017/c_necator_fructose.mat"
script_fructose.add_to_block("runner", incawrapper.define_runner(OUTPUT_FILE_FRUCTOSE, run_estimate=True, run_simulation=True, run_continuation=True))

9.1.5. Running INCA script

Now, we are ready to run the INCA script. This is done through the function run_inca(). This function takes the INCA script and a filepath to your INCA installation.

[32]:
incawrapper.run_inca(script_fructose, INCA_base_directory)
INCA script saved to /var/folders/z6/mxpxh4k56tv0h0ff41vmx7gdwtlpvp/T/tmp1_prs70v/inca_script.m.
Starting MATLAB engine...

ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


ms_fructose = 1x23 msdata object

fields: atoms  id  [idvs]  more  on  state

Alanine232 Alanine260 Asparticacid302 Asparticacid390 Asparticacid418 Glutamicacid330 Glutamicacid432 Glycine218 Glycine246 Histidine338 Histidine440 Isoleucine274 Leucine274 Methionine320 Phenylalanine302 Phenylalanine308 Phenylalanine336 Serine362 Serine390 Threonine376 Threonine404 Valine260 Valine288


m = 1x1 model object

fields: [expts]  [mets]  notes  [options]  [rates]  [states]

        59 reactions (74 fluxes)
        54 states (33 balanced, 2 source, 19 sink and 0 unbalanced)
        53 metabolites
        1 experiments


                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            144823
     1            144808      5.35e-05      -1.4e+05       4.75695
     2            144795      4.59e-05      -1.4e+05       4.75695
     3            144790       1.8e-05      -1.4e+05       4.75695
     4            144778      4.33e-05      -1.4e+05       4.75695
     5            144740      0.000136      -1.4e+05       4.75695
     6            144689       0.00018      -1.4e+05       4.75695
     7            144470      0.000779     -1.41e+05       4.75695
     8           88407.6         0.163     -1.95e+05       4.75695
     9           88059.6       0.00204     -8.53e+04       4.75695
    10           84962.8        0.0181     -8.69e+04       4.75695
    11           82723.8        0.0136     -8.32e+04       4.75695
    12           50043.4         0.177     -1.15e+05       4.75695
    13             50037      6.84e-05     -4.71e+04       4.75695
    14           34364.3         0.151     -5.66e+04       4.75695
    15           3355.59         0.419     -2.44e+04       4.75695
    16           1690.79         0.562           237       4.75695
    17            2007.3         0.703      9.82e+03       4.75695
    18           2017.61         0.753      8.95e+03       9.51389
    19            2097.4         0.844      8.25e+03       38.0556
    20           1655.67             1           735       304.445
    21           1530.94             1         -26.3       352.271
    22           1493.61             1         -12.3       198.801
    23           1461.04             1         -12.2       66.2671
    24           1434.88             1         -8.87        22.089
    25           1405.38         0.828         -7.63       8.34583
    26            1400.3         0.678         -3.39       8.34583
    27           1397.87             1         -1.03       8.34583
    28           1391.36             1         -3.11       2.78194
    29           1387.38          0.76         -1.94      0.927314
    30           1387.97             1          5.93      0.927314
    31           1385.88             1        -0.447       1.85463
    32           1384.93         0.294        -0.697      0.932441
    33           1387.65             1          9.28      0.932441
    34           1383.69             1        -0.155       1.86488
    35           1382.95          0.98         0.336        1.5365
    36           1381.87             1       -0.0404        1.5365
    37           1380.86             1        -0.172       1.49412
    38           1379.96             1        -0.219       1.40124
    39           1379.15             1        -0.245       1.27093
    40           1378.78         0.339        -0.466       1.09426
    41           1377.97             1        -0.234       1.09426
    42           1377.03             1        -0.209      0.947936
    43           1375.95             1         -0.29      0.901925
    44           1374.84             1        -0.369      0.856894
    45           1373.84             1        -0.377      0.769886
    46           1372.91             1        -0.379      0.633336
    47           1372.28         0.574        -0.495      0.472842
    48           1371.24             1        -0.472      0.472842
    49           1368.72             1         -1.19      0.230943
    50            1363.9         0.381          -6.2     0.0953404
    51           1328.07             1         -17.5     0.0953404
    52           1291.39        0.0725          -246     0.0317801
    53           1287.52       0.00682          -283     0.0317801
    54           977.937             1         -27.5     0.0317801
    55           997.763             1          28.1     0.0105934
    56            984.89             1          12.5     0.0211868
    57           975.202             1         0.938      0.084747
    58           974.153             1        -0.133     0.0843705
    59           974.084             1         -0.02      0.049653
    60           974.067             1      -0.00699     0.0444476
    61           974.053             1      -0.00614      0.026883
    62           974.041             1       -0.0051     0.0173199
    63           974.031             1      -0.00437     0.0109436
    64           974.022             1      -0.00375    0.00691309

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       1.79959e+06
     1       1.78729e+06       0.00346     -1.78e+06       28.2913
     2       1.78686e+06      0.000121     -1.76e+06       28.2913
     3       1.78474e+06      0.000603     -1.76e+06       28.2913
     4       1.75455e+06       0.00853     -1.78e+06       28.2913
     5       1.74493e+06       0.00278     -1.73e+06       28.2913
     6       1.74479e+06      4.02e-05     -1.72e+06       28.2913
     7       1.57729e+06        0.0471     -1.84e+06       28.2913
     8       1.50714e+06         0.022     -1.63e+06       28.2913
     9       1.16347e+06           0.1     -1.97e+06       28.2913
    10            717116         0.144        -2e+06       28.2913
    11            716764       0.00025     -7.03e+05       28.2913
    12             57942         0.342     -6.63e+05       28.2913
    13           23217.6         0.498     -2.17e+04       28.2913
    14           5862.43         0.647      2.09e+05       28.2913
    15           3635.46             1          -160       28.2913
    16           3302.19         0.241          -710       9.43044
    17           3296.44        0.0294         -96.4       9.43044
    18            3287.6        0.0487         -88.7       9.43044
    19           3205.53         0.675         -39.7       9.43044
    20           3202.06         0.172         -9.51       9.43044
    21           3190.48             1         -2.12       9.43044
    22           3184.27             1         -1.78       7.31113
    23           3180.36             1         -1.37       6.51242
    24           3177.48             1         -1.13       5.09243
    25           3175.23         0.793         -1.22       3.66158
    26           3174.88         0.168         -1.02       3.66158
    27           3173.38             1         -0.67       3.66158
    28              3160             1        -0.969       1.49048
    29           3148.49             1          7.97      0.831519
    30           3143.98         0.202         -9.16      0.842549
    31           3133.99             1         -2.37      0.842549
    32           3122.78         0.572         -7.66      0.680731
    33           3120.57             1        -0.864      0.680731
    34           3115.05             1         -2.94      0.505632
    35           3060.22         0.864         -30.1      0.168544
    36           2791.21             1         -79.3      0.168544
    37           2697.93             1         -11.4     0.0561813
    38           2624.59        0.0616          -621     0.0435751
    39           1911.12         0.441      1.83e+03     0.0435751
    40           1731.39         0.159          -462     0.0435751
    41            1971.9          0.32      2.06e+04     0.0435751
    42           1935.01         0.381      1.75e+04     0.0871502
    43              1771         0.667      9.79e+03      0.348601
    44           1184.09         0.716          -183       2.78881
    45           1092.33             1         -9.51       2.78881
    46           1681.06         0.679      6.68e+03      0.929602
    47           1377.01             1      1.84e+03        1.8592
    48           1082.48             1         -3.74       7.43682
    49           1097.45             1          83.9       2.47894
    50           1076.03             1        -0.759       4.95788
    51           1068.33         0.127         -23.5       1.65263
    52           1068.04        0.0049         -29.5       1.65263
    53           1065.86         0.442          38.9       1.65263
    54           1065.25        0.0101         -29.1       1.65263
    55           1057.44         0.371          4.19       1.65263
    56           1087.74             1          49.9       1.65263
    57           1051.11             1          9.71       3.30525
    58           1034.79             1         -2.53        3.8992
    59           1028.18             1         -1.51       3.72064
    60           1025.98             1        -0.592       3.06529
    61           1025.02             1        -0.302       2.64784
    62            1024.5             1        -0.179       2.28252
    63           1024.18             1         -0.12       1.96453
    64           1023.95             1       -0.0868       1.65331
    65           1023.79             1       -0.0656       1.36203
    66           1023.66             1       -0.0508       1.10603
    67           1023.56             1       -0.0398      0.890868
    68           1023.48             1       -0.0314      0.714317
    69           1023.41             1       -0.0248      0.571178
    70           1023.36             1       -0.0197      0.455864
    71           1023.33             1       -0.0146      0.363307
    72            1023.3             1      -0.00949      0.274663
    73           1023.29             1       -0.0083      0.171931
    74           1023.27             1      -0.00727      0.107996
    75           1023.25             1      -0.00648     0.0673725
    76           1023.24             1      -0.00599     0.0415236
    77           1023.23             1        -0.006     0.0249811
    78           1023.21             1      -0.00779     0.0142537
    79            1023.2         0.208       -0.0256    0.00679739
    80           1023.15             1       -0.0232    0.00679739
    81           1022.23             1        -0.481     0.0022658
    82           1059.69        0.0655      3.44e+03   0.000755265
    83            1080.4          0.13      3.25e+03    0.00151053
    84           1030.63        0.0189      1.24e+09    0.00604212
    85           1032.01        0.0346       6.9e+08      0.048337
    86            1035.2          0.13      1.88e+08      0.386696
    87           1503.98         0.685      4.17e+07       3.09357
    88           1020.33             1        -0.739       24.7485
    89            1017.5             1        -0.659       8.24951
    90           1513.64         0.408      7.32e+06       4.64409
    91           1511.09         0.773      3.91e+06       9.28818
    92           1016.54             1         -0.28       37.1527
    93           1511.69         0.624      3.22e+06       12.3842
    94           1015.48             1         -1.56       24.7685
    95           1509.42         0.017      1.77e+07       8.25616
    96           1509.33         0.022      1.37e+07       16.5123
    97            1509.1        0.0459      6.58e+06       66.0493
    98           1508.33         0.203      1.49e+06       528.394

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            279614
     1            264864        0.0265      -2.8e+05       1.55328
     2            254787          0.02     -2.45e+05       1.55328
     3            251037       0.00759     -2.44e+05       1.55328
     4            242181        0.0185     -2.32e+05       1.55328
     5            186474         0.165     -1.26e+05       1.55328
     6            169933        0.0442     -1.92e+05       1.55328
     7            161302        0.0257      -1.7e+05       1.55328
     8            151287        0.0315     -1.61e+05       1.55328
     9           72148.6          0.25     -1.76e+05       1.55328
    10           67907.3        0.0313     -6.63e+04       1.55328
    11           62639.5        0.0419     -6.07e+04       1.55328
    12           53662.2        0.0793     -5.38e+04       1.55328
    13           46673.8         0.065     -5.75e+04       1.55328
    14           3251.98         0.342     -3.32e+04       1.55328
    15           1827.92          0.49      2.08e+03       1.55328
    16           1749.42         0.893           651       1.55328
    17           1605.37             1          58.4       1.55328
    18           1518.37             1          71.5       1.09474
    19           1491.15             1          26.8      0.478447
    20           1484.78             1          5.04      0.390792
    21           1480.25         0.203         -9.89      0.287582
    22           1477.99         0.696        -0.903      0.287582
    23           1477.16             1        -0.526      0.287582
    24           1470.23             1            19     0.0958608
    25           1465.44             1        0.0131     0.0953856
    26           1486.79         0.964          52.9     0.0317952
    27           1489.56             1          39.8     0.0635904
    28           1458.36             1          3.29      0.254361
    29           1456.54             1          24.5      0.250997
    30           1456.03        0.0102           -25      0.269466
    31           1505.07             1           206      0.269466
    32           1424.84         0.292           390      0.538933
    33           1523.28         0.734      2.19e+03      0.538933
    34           1410.84         0.358         -13.4       1.07787
    35           1399.22             1         -0.87       1.07787
    36           1395.53         0.764        -0.752      0.403885
    37           1394.29             1        -0.172      0.403885
    38           1392.74             1         0.505      0.134628
    39           1390.69          0.18         -5.13      0.125484
    40           1390.43         0.227         -0.48      0.125484
    41           1390.03             1       -0.0465      0.125484
    42           1389.44             1        -0.592     0.0418279
    43           1415.89        0.0841       3.1e+03     0.0139426
    44           1415.83         0.143      1.81e+03     0.0278853
    45           1415.25         0.497           505      0.111541
    46           1388.79             1        -0.259      0.892329
    47           1410.45         0.958           180      0.297443
    48           1387.87             1        -0.358      0.594886
    49           1402.35         0.454           155      0.198295
    50           1401.57         0.842          81.4      0.396591
    51           1386.95             1        -0.441       1.58636
    52           1395.83         0.997          39.9      0.528788
    53           1385.91             1        -0.114       1.05758
    54           1385.15         0.381         0.928      0.352525
    55           1384.02         0.995         0.683      0.352525
    56           1383.62             1        0.0612      0.352525
    57           1383.59             1       0.00909      0.302701
    58           1383.58             1       0.00475      0.270162
    59           1383.41        0.0611         -1.36      0.273081
    60           1383.08         0.479        -0.225      0.273081
    61           1382.93             1       -0.0107      0.273081
    62           1379.41             1        -0.408      0.180362
    63           1386.13             1          26.2     0.0648851
    64           1379.05             1         0.256       0.12977
    65           1380.49             1          4.14      0.125324
    66           1378.85             1        0.0364      0.250647
    67            1383.9         0.976          14.1        0.2193
    68           1377.55             1          0.13      0.438601
    69           1376.49             1         0.397      0.385287
    70           1375.91             1         0.334      0.383047
    71           1375.56             1          0.12      0.383008
    72           1375.34             1        0.0318      0.381402
    73           1375.28         0.162        -0.167      0.372608
    74           1375.28             1         0.114      0.372608
    75           1375.19             1       -0.0156      0.745216
    76           1375.71             1          1.08      0.248405
    77            1375.2             1        0.0449      0.496811
    78           1375.18             1      -0.00208       1.98724
    79           1372.31         0.544         -2.51      0.662415
    80           1371.87             1        -0.061      0.662415
    81           1372.11             1         0.567      0.220805
    82           1371.81             1       0.00497       0.44161
    83           1371.81             1        0.0288      0.383898
    84           1371.78             1      -0.00523      0.571681
    85           1371.83             1         0.103      0.273304
    86           1371.77             1       0.00176      0.546608
    87           1371.77             1      0.000452      0.546604
    88           1371.77             1      0.000261      0.538736
    89           1371.76             1        0.0001        0.5288
    90           1371.76             1      2.09e-06      0.515492
    91           1371.76             1     -4.14e-05       0.49872
    92           1371.76             1     -7.59e-05      0.480377
    93           1371.75             1     -8.73e-05      0.460266
    94           1371.75             1     -9.77e-05      0.439883
    95           1371.75             1     -9.93e-05      0.419179
    96           1371.75             1     -0.000101      0.398909
    97           1371.75             1     -9.99e-05      0.379047
    98           1371.74             1      -9.9e-05      0.359896
    99           1371.74             1      -9.7e-05      0.341428
   100           1371.74             1     -9.53e-05      0.323736
   101           1371.74             1     -9.34e-05      0.306787
   102           1371.74             1     -9.17e-05      0.290594
   103           1371.74             1     -9.01e-05      0.275122
   104           1371.74             1     -8.87e-05      0.260354
   105           1371.74             1     -8.75e-05      0.246256
   106           1371.73             1     -8.64e-05      0.232802
   107           1371.73             1     -8.55e-05      0.219962
   108           1371.73             1     -8.49e-05      0.207708
   109           1371.73             1     -8.44e-05      0.196011
   110           1371.73             1     -8.41e-05      0.184846
   111           1371.73             1      -8.4e-05      0.174187
   112           1371.73             1     -8.41e-05       0.16401
   113           1371.73         0.565     -0.000444      0.154292
   114           1371.73             1     -0.000213      0.154292
   115           1371.72             1     -0.000566     0.0514306
   116           1371.72             1      -0.00131     0.0171435
   117           1371.72             1      -0.00175     0.0103334
   118           1371.71             1      -0.00287    0.00608385
   119           1371.68             1       -0.0254    0.00202795
   120           1780.19         0.164       2.8e+05   0.000675984
   121           1780.18         0.263      1.74e+05    0.00135197
   122           1780.14         0.858      5.29e+04    0.00540787
   123           1371.67             1      -0.00547      0.043263
   124           1371.71             1         0.843      0.014421
   125           1371.63             1       -0.0258      0.028842
   126           1777.44         0.478      4.92e+04    0.00961399
   127           1777.52         0.821      2.83e+04      0.019228
   128           1371.57             1       -0.0258     0.0769119
   129           1773.91         0.879      1.83e+04     0.0256373
   130            1371.7             1          1.05     0.0512746
   131           1371.53             1       -0.0178      0.205099
   132           1371.53             1         0.338     0.0683662
   133           1371.36             1      -0.00406      0.129238
   134           1371.32             1      -0.00291     0.0946405
   135            1371.3             1      0.000799     0.0654395
   136            1371.3             1       0.00284     0.0514089
   137            1371.3             1       0.00376     0.0750408
   138            1371.3             1       0.00179      0.150082
   139            1371.3             1       0.00064      0.165658

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            861649
     1            861222      0.000251     -8.52e+05       7.55442
     2            861170      3.03e-05     -8.52e+05       7.55442
     3            860994      0.000103     -8.52e+05       7.55442
     4            860880      6.67e-05     -8.52e+05       7.55442
     5            860500      0.000223     -8.51e+05       7.55442
     6            859586      0.000537     -8.51e+05       7.55442
     7            859472      6.68e-05      -8.5e+05       7.55442
     8            855338       0.00244     -8.46e+05       7.55442
     9            841192       0.00842     -8.33e+05       7.55442
    10            823703        0.0106     -8.16e+05       7.55442
    11            447398         0.286      -5.3e+05       7.55442
    12            345620         0.119     -4.13e+05       7.55442
    13            223945         0.205     -2.58e+05       7.55442
    14            100157         0.333     -1.97e+05       7.55442
    15           30186.4         0.502      -4.5e+04       7.55442
    16           16126.7          0.29     -2.04e+04       7.55442
    17           2338.99         0.929     -1.81e+03       7.55442
    18           1740.75             1          -107       7.55442
    19           1594.01         0.657         -92.1       2.51814
    20           1564.16         0.414         -26.6       2.51814
    21           1552.36             1        -0.087       2.51814
    22            1547.2             1         -1.16       2.37278
    23           1981.13         0.968      2.78e+03      0.790926
    24           1464.18         0.473         -62.5       1.58185
    25            1439.2         0.384         -31.1       1.58185
    26           1430.58             1         -1.63       1.58185
    27           1426.84             1          6.18      0.527284
    28           1420.69             1        -0.924      0.547291
    29           1415.84          0.86         -1.86      0.542498
    30           1409.79             1         -2.66      0.542498
    31           1401.69         0.252         -15.9      0.198799
    32           1339.63         0.896         -33.1      0.198799
    33           1293.36         0.125          -178      0.198799
    34            1035.5             1         -43.8      0.198799
    35           1032.89         0.106         -11.3     0.0662662
    36           1026.61             1          4.34     0.0662662
    37           1023.78             1        -0.235     0.0661259
    38           1022.05             1         -0.35     0.0655676
    39           1021.86             1        -0.011     0.0231185
    40           1021.71             1        -0.032     0.0229659
    41           1021.69         0.647      -0.00754    0.00765529
    42           1021.67             1      -0.00427    0.00765529
    43           1021.66             1      -0.00163    0.00255176
    44           1021.66             1     -0.000824    0.00185545
    45           1021.66             1     -0.000629   0.000618483
    46           1021.66             1     -0.000334   0.000509954
    47           1021.66             1      -0.00024   0.000248487
    48           1021.66             1     -0.000169    0.00017995
    49           1021.66             1     -0.000151   0.000102448
    50           1021.66             1     -0.000115   6.96602e-05
    51           1021.66        0.0169     -0.000371   4.65844e-05
    52           1021.66             1      -0.00012   4.65844e-05
    53           1014.01             1        -0.208   4.65916e-05
    54            1034.6       0.00584      4.64e+03   1.55305e-05
    55            1034.6        0.0061      4.44e+03   3.10611e-05
    56            1034.6       0.00766      3.54e+03   0.000124244
    57           1034.64        0.0223      1.22e+03   0.000993954
    58           1034.96         0.142           197    0.00795163
    59           1026.67             1          19.4      0.063613
    60           1011.94             1        -0.177      0.508904
    61           1002.56         0.383         -7.26      0.169635
    62           1000.69             1         0.157      0.169635
    63            1000.6             1       0.00743     0.0565449
    64           997.553             1         -1.51     0.0243785
    65           996.524             1         0.033    0.00812615
    66           996.524      1.21e-05       -0.0985    0.00270872
    67           996.416             1      -0.00812    0.00270872
    68           996.413             1     -0.000687   0.000902906
    69           996.412             1     -0.000416   0.000300969
    70           996.412             1     -0.000109   0.000100323
    71           996.412         0.434     -0.000529    3.3441e-05
    72           996.409             1       -0.0021    3.3441e-05
    73           2238.06          0.18      3.65e+07    1.1147e-05
    74           2238.06         0.359      1.83e+07    2.2294e-05
    75           996.396             1       -0.0219   8.91759e-05
    76           2236.38        0.0152       1.3e+08   2.97253e-05
    77           2236.36        0.0284      6.96e+07   5.94506e-05
    78           2236.29         0.108      1.84e+07   0.000237802
    79           2235.63         0.848      2.34e+06    0.00190242
    80           996.392             1      -0.00197     0.0152193
    81           996.338             1       -0.0885    0.00507312
    82           2227.72        0.0513      9.38e+06    0.00169104
    83           2227.55        0.0943       5.1e+06    0.00338208
    84           2226.56         0.353      1.36e+06     0.0135283
    85           996.292             1       -0.0346      0.108226
    86           2216.25         0.603      5.07e+05     0.0360755
    87           996.051             1         0.759      0.072151
    88           2143.25          0.15      3.25e+05     0.0240503
    89           2139.89         0.221       2.2e+05     0.0481007
    90           2119.76         0.648      7.43e+04      0.192403
    91            995.52             1        -0.133       1.53922
    92           997.336             1          14.1      0.513074
    93           995.073             1        -0.253       1.02615
    94           1991.42          0.73      3.07e+04      0.342049
    95           1002.36             1          42.8      0.684098
    96            994.71             1        -0.196       2.73639
    97           996.844             1          13.2      0.912131
    98           994.082             1        -0.268       1.82426
    99            1749.6             1      9.47e+03      0.608087
   100           995.054             1          7.25       1.21617
   101           993.621             1        -0.216        4.8647
   102           993.245             1          1.79       1.62157
   103           991.717             1        0.0434       1.63234
   104           990.825             1       -0.0664       1.28216
   105           990.339             1        -0.103       1.08157
   106           990.136             1        -0.049      0.790228
   107            990.05             1       -0.0228      0.558705
   108           990.019             1      -0.00782      0.317651
   109           990.009             1      -0.00217      0.127103
   110           990.011             1        0.0084     0.0423675
   111           990.007             1      0.000819      0.084735
   112           990.005             1     -0.000448     0.0822893
   113           990.005             1       0.00011     0.0274298
   114           990.004             1      7.18e-05       0.02677
   115           990.005             1       0.00127     0.0265979
   116           990.004             1      0.000254     0.0531958
   117           990.004             1      8.87e-06     0.0673577
   118           990.004             1     -1.72e-05     0.0647122
   119           990.004             1     -3.09e-05     0.0604503
   120           990.004             1     -5.08e-05     0.0329608
   121           990.004             1      0.000169     0.0163301
   122           990.004             1      0.000204     0.0164533
   123           990.004             1       0.00103     0.0168916
   124           990.003             1      0.000199     0.0337831
   125           990.003             1      0.000428     0.0348456
   126           990.003             1      5.33e-05     0.0696912
   127           990.003             1     -1.11e-05     0.0696914
   128           990.003             1     -2.35e-05     0.0617246
   129           990.003             1     -3.27e-05     0.0390977
   130           990.003             1      8.79e-05      0.019052
   131           990.003             1       6.5e-05     0.0190574
   132           990.003             1       9.6e-05     0.0190573
   133           990.003             1      0.000391     0.0191347
   134           990.002             1      4.72e-05     0.0382693
   135           990.002             1      6.43e-05     0.0382683
   136           990.002             1      5.11e-05     0.0396952
   137           990.002             1      4.36e-05     0.0402933
   138           990.002             1      3.08e-05     0.0408641
   139           990.002             1      2.09e-05     0.0409804
   140           990.002             1      1.45e-05     0.0410091
   141           990.002             1      5.95e-06     0.0410092
   142           990.002             1      3.85e-06      0.040991
   143           990.002             1     -2.98e-06     0.0409027
   144           990.002             1     -2.27e-06     0.0403681
   145           990.002             1     -7.26e-06      0.039662
   146           990.002             1     -3.71e-06     0.0379084
   147           990.002             1     -7.48e-06     0.0367207
   148           990.002             1     -5.88e-07     0.0347987
   149           990.002             1     -4.36e-06     0.0342498
   150           990.002             1      5.12e-06     0.0333632
   151           990.002             1      1.42e-06     0.0333165
   152           990.002             1      1.27e-05     0.0331901
   153           990.001             1       9.6e-06      0.033199
   154           990.001             1      2.26e-05     0.0331993
   155           990.001             1      1.97e-05     0.0337721
   156           990.001             1      3.19e-05     0.0340304
   157           990.001             1      2.57e-05     0.0362638
   158           990.001             1       2.9e-05     0.0371285
   159           990.001             1      1.91e-05     0.0391506
   160           990.001             1      1.76e-05     0.0396249
   161           990.001             1      8.78e-06     0.0402287
   162           990.001             1      8.13e-06     0.0402502
   163           990.001             1      1.92e-06     0.0402734
   164           990.001             1      2.34e-06     0.0402362
   165           990.001             1     -1.91e-06     0.0402005
   166           990.001             1     -7.86e-07     0.0393976
   167           990.001             1     -3.67e-06     0.0387379
   168           990.001             1      -1.5e-06     0.0363203
   169           990.001             1     -3.76e-06     0.0351542
   170           990.001             1      1.96e-08     0.0327393
   171           990.001             1      -2.2e-06     0.0323209
   172           990.001             1      3.01e-06     0.0314054
   173           990.001             1      1.26e-06     0.0313996
   174           990.001             1      7.81e-06     0.0313573
   175           990.001             1      6.94e-06     0.0315451
   176           990.001             1      1.48e-05     0.0316263
   177           990.001             1      1.34e-05     0.0340726
   178           990.001             1      1.68e-05     0.0352822
   179           990.001             1      1.19e-05      0.038876

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            578136
     1            578124      1.06e-05     -5.66e+05        10.769
     2            578082      3.65e-05     -5.66e+05        10.769
     3            578051      2.72e-05     -5.66e+05        10.769
     4            577739      0.000276     -5.66e+05        10.769
     5            561753        0.0143     -5.52e+05        10.769
     6            537388        0.0225     -5.32e+05        10.769
     7            380583         0.147     -5.76e+05        10.769
     8            256830         0.164     -3.94e+05        10.769
     9           69579.5         0.391     -2.35e+04        10.769
    10           3669.59         0.761     -9.08e+03        10.769
    11           2209.58             1      1.28e+03        10.769
    12           2174.98             1      1.04e+03       7.77018
    13           1809.31         0.726         -20.8       12.3357
    14           1775.88             1        -0.805       12.3357
    15           1738.33             1         -19.9       4.11189
    16           1642.15         0.192          -236       1.37063
    17           1680.16         0.794           621       1.37063
    18            1694.6         0.763           691       2.74126
    19           1681.14          0.96           567        10.965
    20           1574.05             1         -26.3       87.7203
    21           1531.37         0.552         -35.4       29.2401
    22           1531.36      0.000127         -22.7       29.2401
    23           1499.29             1         -8.82       29.2401
    24           1480.64             1         -5.82        9.7467
    25           1462.79             1          19.1        3.2489
    26           1447.05         0.335         -11.7       3.24774
    27           1439.19             1          22.3       3.24774
    28           1415.77             1         0.698        3.5405
    29           1457.07         0.308           342       1.18017
    30           1450.86         0.489           194       2.36033
    31            1411.3             1          7.27       9.44133
    32           1769.17         0.509      2.01e+04       9.43383
    33           1774.11         0.772      1.33e+04       18.8677
    34           1397.24             1          -4.8       75.4706
    35           1761.85         0.668       8.4e+03       25.1569
    36           1767.21         0.877       6.4e+03       50.3137
    37           1387.66             1         -6.09       201.255
    38           1390.09             1          33.7        67.085
    39           1387.63       0.00427         -4.12        134.17
    40           1385.06             1          12.1        134.17
    41           1382.15             1         -0.38       134.166
    42           1381.69             1        -0.181       44.7219
    43           1381.09             1        -0.254       14.9073
    44           1380.48             1        -0.224        4.9691
    45           1379.87             1        -0.266       1.65637
    46           1379.16             1         0.663      0.552122
    47           1378.93             1          1.94      0.533044
    48           1376.98             1        -0.363      0.765673
    49           1376.24             1       -0.0883      0.602402
    50           1375.71             1       -0.0796      0.561426
    51           1375.43             1        0.0413      0.481906
    52           1375.15             1       -0.0134      0.472462
    53           1374.96         0.362        -0.214      0.441425
    54           1374.92             1         0.153      0.441425
    55           1374.75             1       -0.0318      0.528296
    56           1374.77             1         0.161      0.367943
    57           1374.68             1       -0.0191      0.735885
    58           1374.71             1         0.127      0.382796
    59           1374.65             1       -0.0105      0.765592
    60           1374.63             1        0.0116      0.515987
    61           1374.59             1      -0.00647       0.51592
    62           1374.56             1       0.00204      0.450783
    63           1374.53             1       -0.0041      0.443066
    64           1374.51             1     -0.000545       0.40034
    65           1374.48             1      -0.00298      0.385475
    66           1374.46             1      -0.00136      0.352723
    67           1374.45             1      -0.00232      0.334485
    68           1374.43             1      -0.00155      0.307991
    69           1374.41             1       -0.0019      0.289161
    70            1374.4             1      -0.00151      0.267118
    71           1374.39             1       -0.0016      0.249208
    72           1374.38             1       -0.0014       0.23048
    73           1374.37             1       -0.0014      0.214102
    74           1374.36             1      -0.00128      0.197909
    75           1374.35             1      -0.00125      0.183162
    76           1374.34             1      -0.00118      0.168937
    77           1374.33             1      -0.00116      0.155667
    78           1374.32             1      -0.00113      0.142944
    79           1374.31             1      -0.00114      0.130851
    80           1374.31             1      -0.00117      0.119161
    81            1374.3             1      -0.00124      0.107784
    82            1374.3         0.612      -0.00327     0.0964999
    83           1374.29             1      -0.00318     0.0964999
    84           1374.27             1       -0.0103     0.0321666
    85           1374.11         0.873        -0.241     0.0107222
    86           1373.65         0.229          4.85     0.0107222
    87           2467.17          0.52      4.38e+05     0.0107222
    88           1381.92             1           217     0.0214444
    89           1372.39             1       -0.0578     0.0857777
    90           1374.05             1          19.6     0.0285926
    91           1372.31             1       -0.0172     0.0571851
    92           2411.11         0.455      2.11e+05     0.0190617
    93           2409.35         0.866      1.11e+05     0.0381234
    94           1372.26             1       -0.0221      0.152494
    95           2389.35         0.858      7.82e+04     0.0508312
    96           1372.27             1         0.451      0.101662
    97           1372.24             1       -0.0134       0.40665
    98           1372.19             1         0.181       0.13555
    99           1388.16             1           102      0.134942
   100           1372.04             1         0.142      0.269884
   101           1372.77             1          3.06      0.261893
   102           1371.78             1       -0.0645      0.523787
   103           1379.87             1          30.9      0.174596
   104           1371.88             1         0.722      0.349191
   105           1371.67             1       -0.0393       1.39676
   106           1371.61             1         0.167      0.465588
   107           1371.43             1       -0.0327       0.46883
   108           1371.36             1     -0.000368      0.291003
   109           1371.32             1       -0.0104      0.262627
   110           1371.31             1      -0.00106     0.0968711
   111            1371.3             1     -0.000461     0.0756744
   112            1371.3             1     -4.85e-05     0.0252248
   113            1371.3             1      6.33e-07     0.0160824
   114            1371.3             1      0.000238     0.0158693
   115            1371.3             1      0.000918     0.0198781
   116            1371.3             1      0.000735     0.0397563

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           27243.3
     1           27241.4       5.2e-05     -1.84e+04       3765.62
     2           27189.1       0.00142     -1.84e+04       3765.62
     3           27123.6       0.00179     -1.83e+04       3765.62
     4           27074.1       0.00135     -1.83e+04       3765.62
     5           27057.7      0.000449     -1.82e+04       3765.62
     6           27044.2      0.000371     -1.82e+04       3765.62
     7           26959.8       0.00232     -1.82e+04       3765.62
     8             21282         0.176     -1.43e+04       3765.62
     9            8194.7             1     -2.07e+03       3765.62
    10           6829.35         0.434     -1.37e+03       1255.21
    11           6821.67       0.00445          -861       1255.21
    12           5460.76         0.968          -516       1255.21
    13           4816.92         0.949          -313       1255.21
    14            4193.2             1          -299       1255.21
    15           3913.12         0.237          -585       418.403
    16           3441.16             1          -166       418.403
    17           2970.61             1          -171       139.468
    18            2404.6         0.798          -248       46.4892
    19           2229.54         0.206          -428       46.4892
    20           2281.85         0.627      2.55e+03       46.4892
    21           2221.36         0.968      1.63e+03       92.9784
    22           1782.16             1          82.6       92.9784
    23           1643.21             1         -42.9       50.4974
    24           1606.23         0.263         -67.4       19.3805
    25           1559.57         0.376         -59.2       19.3805
    26           1480.33             1           -23       19.3805
    27           1455.28         0.786         -7.12       6.46016
    28           1448.81          0.65         -3.42       6.46016
    29           1443.94             1         -1.76       6.46016
    30           1413.45             1         -2.75        4.6927
    31           1408.74             1          -1.4       1.56423
    32           1404.18             1        0.0278      0.961492
    33           1397.75             1         -2.36      0.922584
    34           1385.74             1         -5.38      0.774699
    35           1340.98             1         -21.3      0.516617
    36           1324.02        0.0445          -188      0.172206
    37           1118.39         0.621          -122      0.172206
    38           1076.92         0.226           -78      0.172206
    39           1060.27         0.138           -54      0.172206
    40           1032.84         0.351           -29      0.172206
    41           1011.88             1         0.562      0.172206
    42           1009.22             1        -0.556      0.118896
    43           1008.44             1        -0.145      0.104526
    44           1008.41         0.159       -0.0739     0.0348419
    45           1008.33             1       -0.0165     0.0348419
    46           1008.31             1      -0.00679     0.0337858
    47            1008.3             1      -0.00208     0.0233021
    48            1008.3         0.778       -0.0016     0.0126425
    49            1008.3             1     -0.000873     0.0126425
    50           1008.29             1     -0.000878    0.00701206
    51           1008.29             1     -0.000736    0.00450279
    52           1007.65             1         -0.31    0.00284806
    53           1005.87         0.202         -3.96   0.000949355
    54           1001.97             1        -0.307   0.000949355
    55           1001.75         0.468        -0.168   0.000316452
    56           1001.61             1       -0.0276   0.000316452
    57            1001.6             1      -0.00282   0.000105484
    58            1001.6             1     -0.000423   3.51613e-05
    59             989.1         0.033          -209   2.35588e-05
    60           987.813             1          4.19   2.35588e-05
    61           986.502             1         0.153   2.37284e-05
    62           986.399             1        0.0424   2.13529e-05
    63           986.385             1        0.0117   1.93377e-05
    64           986.327       0.00444         -6.36   1.93345e-05
    65           1507.08         0.195      6.31e+03   1.93345e-05
    66           1507.08         0.195       6.3e+03   3.86691e-05
    67           1507.08         0.196      6.29e+03   0.000154676
    68           982.731       0.00941          -182    0.00123741
    69           1724.86         0.204      7.94e+03    0.00123741
    70           1725.58         0.208      7.77e+03    0.00247482
    71           1596.73         0.226      5.75e+03    0.00989929
    72           1250.39         0.396       1.3e+03     0.0791943
    73           993.346             1          20.9      0.633554
    74           981.403             1        -0.451       5.06844
    75           980.358             1        -0.111       1.68948
    76           979.405             1        -0.312       1.20888
    77           978.886             1         0.469      0.757587
    78           977.931         0.546        -0.399      0.774554
    79            976.86             1       -0.0365      0.774554
    80           975.647             1        -0.342      0.774546
    81           975.043             1        -0.202       0.69487
    82           974.713             1        -0.124      0.588081
    83           974.506             1       -0.0824      0.478098
    84           974.355             1       -0.0624      0.374905
    85           974.159             1       -0.0884      0.277668
    86            974.14        0.0357        -0.272      0.133454
    87           974.078             1       -0.0176      0.133454
    88           974.048             1       -0.0105      0.131769
    89           974.037             1      -0.00464      0.118666
    90           974.028             1       -0.0039     0.0752103
    91            974.02             1      -0.00331     0.0478442
    92           974.014             1      -0.00284     0.0302373
    93           974.008             1      -0.00243     0.0191099
    94           974.003             1      -0.00209     0.0120765
    95           973.999             1      -0.00179    0.00763196

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           44445.5
     1           44438.2      8.63e-05     -4.26e+04       3.46615
     2           43293.9        0.0128     -4.68e+04       3.46615
     3           42548.5       0.00873     -4.39e+04       3.46615
     4           42463.8       0.00104      -4.1e+04       3.46615
     5           41507.7        0.0114     -4.34e+04       3.46615
     6           39574.6         0.023     -4.41e+04       3.46615
     7           35678.6        0.0474     -4.37e+04       3.46615
     8           28524.6         0.104      5.09e+05       3.46615
     9             27657        0.0156     -2.87e+04       3.46615
    10           26070.9        0.0278     -3.07e+04       3.46615
    11           25172.9        0.0174     -2.69e+04       3.46615
    12           20772.4        0.0811     -2.92e+04       3.46615
    13           18286.4        0.0615     -2.07e+04       3.46615
    14           18266.2      0.000607     -1.66e+04       3.46615
    15           14002.2         0.128     -1.63e+04       3.46615
    16           6930.04         0.148     -3.84e+04       3.46615
    17           4494.12         0.552      2.39e+04       3.46615
    18           2749.25         0.414          -293       3.46615
    19           2663.97         0.969           451       3.46615
    20           4351.14         0.938      2.27e+04       3.46615
    21           2474.65             1           179       6.93229
    22           1791.83         0.432      1.07e+03       2.31076
    23           1586.43             1          8.07       2.31076
    24           1529.18         0.509         -29.8      0.770254
    25           2397.58         0.908      1.16e+04      0.770254
    26           1516.68             1          40.4       1.54051
    27           1498.02             1        -0.808       1.53983
    28           1496.83             1        -0.289      0.513278
    29           2156.54         0.203      8.59e+04      0.171093
    30           2138.94         0.348       4.5e+04      0.342185
    31           1435.85         0.801          6.43       1.36874
    32           1426.93             1          6.31       1.36874
    33           1427.04             1          14.1        0.8723
    34           1423.59             1         0.106        1.7446
    35           1434.27             1          43.4      0.581533
    36           1421.22        0.0924         -12.8       1.16307
    37           1426.85             1          30.5       1.16307
    38           1417.82             1        -0.249       2.32613
    39           1417.77             1          2.87       1.73133
    40           1415.71             1        -0.372       3.17782
    41           1413.84             1        -0.588       1.05927
    42           1399.91         0.218         -40.9      0.497851
    43            1399.9       0.00283         -1.96      0.497851
    44           1399.23         0.189         -1.62      0.497851
    45           1398.31             1        -0.134      0.497851
    46           1397.63             1         0.132      0.187566
    47           1397.53         0.965         0.101      0.185275
    48           1397.35             1       -0.0412      0.185275
    49           1397.33             1        0.0695     0.0961608
    50           1393.16         0.204         -8.52      0.126213
    51           1386.24             1        0.0455      0.126213
    52            1389.2         0.575          22.1     0.0866088
    53            1387.6             1          9.09      0.173218
    54           1384.71             1       -0.0378      0.692871
    55           1383.83         0.986       -0.0844      0.308545
    56           1383.59         0.155        -0.738      0.308545
    57              1383         0.384        -0.826      0.308545
    58              1383       0.00236        -0.712      0.308545
    59           1381.65             1          2.31      0.308545
    60           1380.58         0.188          -2.9      0.102848
    61           1379.82             1         0.597      0.102848
    62           1379.78             1           0.3     0.0987536
    63           1379.66         0.925         0.145      0.150291
    64           1379.28             1        -0.119      0.150291
    65           1378.84         0.204         -1.08     0.0614587
    66           1378.72             1       0.00624     0.0614587
    67           1378.72             1        0.0246     0.0473305
    68           1378.71             1        0.0224     0.0808227
    69           1376.69         0.531         -1.54      0.121295
    70           1374.52             1        -0.368      0.121295
    71            1374.3             1       -0.0337     0.0404316
    72           1374.28             1      -0.00367     0.0134772
    73           1374.27         0.586      -0.00432     0.0044924
    74           1374.26             1      -0.00574     0.0044924
    75           1373.91         0.443          57.4    0.00149747
    76           1372.46             1       -0.0182    0.00149747
    77           2458.39        0.0741      7.79e+06   0.000562779
    78           2457.37         0.141      4.14e+06    0.00112556
    79           2450.89         0.539      1.14e+06    0.00450223
    80           1372.43             1         0.117     0.0360178
    81           1372.46             1         0.158     0.0433139
    82           1372.42             1        0.0997     0.0866277
    83           1372.39             1        0.0666      0.141086
    84           1372.37             1        0.0235      0.163216
    85           1372.37          0.18       -0.0125      0.173739
    86           1372.36             1       0.00285      0.173739
    87           1372.36             1     -0.000317       0.17387
    88           1372.35             1      -0.00162      0.167691
    89           1372.34             1      -0.00807     0.0704152
    90           2430.34         0.964      1.96e+05     0.0234717
    91            1372.3             1       -0.0221     0.0469434
    92           2408.94         0.364      2.43e+05     0.0156478
    93           2407.11          0.68      1.29e+05     0.0312956
    94           1372.23             1       -0.0341      0.125183
    95           2376.03         0.616      8.71e+04     0.0417275
    96           1380.94             1          71.1      0.083455
    97           1372.18             1       -0.0292       0.33382
    98           1376.01             1          22.4      0.111273
    99            1372.1             1        0.0166      0.222547
   100           2292.32         0.713      3.32e+04     0.0741822
   101           1383.12             1          61.4      0.148364
   102           1371.97             1        -0.053      0.593458
   103           1375.25             1          13.8      0.197819
   104           1371.88             1         0.103      0.395639
   105           1371.82             1         0.387      0.380476
   106           1371.49             1       -0.0441      0.447037
   107            1371.4             1        0.0229      0.279466
   108           1371.32             1       -0.0156      0.272365
   109            1371.3             1     -0.000188     0.0907884
   110            1371.3             1     -0.000585      0.078042
   111            1371.3             1      9.35e-05      0.026014
   112            1371.3             1      0.000266     0.0249884
   113            1371.3             1      0.000203     0.0499768
   114            1371.3             1      5.36e-05      0.199907
   115            1371.3             1      1.36e-05      0.200172

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            186517
     1            186494      6.26e-05      -1.8e+05       1.29264
     2            185758       0.00204      -1.8e+05       1.29264
     3            184314       0.00402     -1.79e+05       1.29264
     4            184175       0.00039     -1.78e+05       1.29264
     5            181269       0.00818     -1.77e+05       1.29264
     6            175057        0.0178     -1.73e+05       1.29264
     7            170747        0.0128     -1.69e+05       1.29264
     8            112584         0.157     -1.93e+05       1.29264
     9           91193.9        0.0959     -1.13e+05       1.29264
    10           86054.4        0.0295     -8.66e+04       1.29264
    11           73379.5        0.0794     -7.71e+04       1.29264
    12           34084.3         0.308     -5.53e+04       1.29264
    13           25070.7         0.133     -3.57e+04       1.29264
    14           24709.7       0.00791     -2.29e+04       1.29264
    15           22346.9        0.0516     -2.34e+04       1.29264
    16           22345.4      3.66e-05     -1.96e+04       1.29264
    17           16410.4         0.134     -2.48e+04       1.29264
    18           9584.88         0.208     -1.91e+04       1.29264
    19           2046.68         0.436       1.7e+04       1.29264
    20           2347.08         0.735      4.63e+03       1.29264
    21           2363.65         0.856      3.64e+03       2.58528
    22           1668.67             1           218       10.3411
    23           1562.06             1         -11.1       5.24246
    24           1557.98             1        -0.337       1.74749
    25           1647.15         0.805      1.32e+03      0.582495
    26           1646.43         0.969      1.13e+03       1.16499
    27           1486.28             1         -11.2       4.65996
    28           1476.69         0.118         -42.4       4.57584
    29           1430.76         0.941         -13.4       4.57584
    30           1423.51         0.346         -8.89       4.57584
    31           1416.07             1        -0.692       4.57584
    32           1415.63             1       -0.0378        1.5583
    33            1415.4        0.0216         -5.32      0.519433
    34           1411.77         0.435         -3.53      0.519433
    35           1411.25             1       -0.0905      0.519433
    36            1400.4         0.328         -21.4      0.427858
    37           1400.39       0.00174         -1.16      0.427858
    38           1399.32             1         0.218      0.427858
    39           1398.82         0.356        -0.349      0.404141
    40           1405.34             1            18      0.404141
    41           1398.14             1         0.204      0.808281
    42           1397.96             1          1.24      0.803575
    43           1396.52             1        -0.195        1.1261
    44           1395.77             1       -0.0023      0.983987
    45            1394.9             1        -0.217       0.97022
    46           1394.02             1        -0.292       0.82193
    47           1393.68             1          9.33      0.626248
    48           1389.93          0.25         -5.65       1.12667
    49           1384.38             1        -0.741       1.12667
    50           1381.54             1        -0.649       1.03343
    51           1381.54       3.1e-05         -2.39       1.00479
    52           1378.51             1         -1.12       1.00479
    53           1374.29             1         -1.92      0.776801
    54           1367.51         0.467         -7.11      0.373433
    55           1362.46         0.168           -15      0.373433
    56           1359.38         0.069         -22.3      0.373433
    57           1308.46             1         -24.6      0.373433
    58           1024.51             1         -71.8      0.124478
    59            1100.3         0.862           128     0.0414925
    60           1022.74             1          34.7      0.082985
    61           988.462             1         -1.47      0.147386
    62           984.964             1        -0.498     0.0889188
    63           987.029             1          4.01     0.0358472
    64           984.842             1         0.149     0.0716943
    65           984.651             1        -0.034     0.0729429
    66           984.657             1        0.0887     0.0435791
    67           984.599             1       -0.0147     0.0871581
    68           984.587             1        0.0569     0.0399933
    69            984.44             1       -0.0537     0.0514093
    70           984.017             1        -0.107     0.0171364
    71           981.836             1        -0.554     0.0118251
    72           981.381         0.839        -0.103     0.0039417
    73           981.266             1       -0.0135     0.0039417
    74           981.256             1      -0.00244     0.0013139
    75           981.251             1      -0.00167   0.000759932
    76           981.248             1      -0.00114   0.000581026
    77           981.246             1        -0.001   0.000378891

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           40265.3
     1           21516.7         0.146     -8.52e+04      0.910117
     2             20202        0.0277     -2.73e+04      0.910117
     3           11174.8         0.194      -3.3e+04      0.910117
     4           8608.86         0.117     -1.15e+04      0.910117
     5           4298.05         0.241     -9.32e+03      0.910117
     6           2698.69         0.357     -1.66e+03      0.910117
     7            1581.9         0.711          -370      0.910117
     8            1536.5         0.133          -155      0.910117
     9            1392.5             1           -18      0.910117
    10           1558.41             1           476      0.303372
    11           1397.63             1            38      0.606745
    12            1382.4             1         -1.88       2.42698
    13           1389.64             1            21      0.808993
    14           1380.59             1         0.963       1.61799
    15              1380         0.164         -1.49       1.60836
    16           1378.82             1         0.639       1.60836
    17           1376.96             1        -0.104       1.60964
    18           1376.36          0.18         -1.48       1.58381
    19           1374.21             1        -0.765       1.58381
    20           1370.92             1          -1.5       1.06477
    21           1358.03             1         -6.24      0.372588
    22            1250.7             1         -48.6      0.124196
    23           1195.44         0.116          -216     0.0413987
    24           1009.73         0.718         -56.2     0.0413987
    25           1002.59         0.121         -22.3     0.0413987
    26           998.027             1          36.3     0.0413987
    27           1404.18         0.367      2.11e+03     0.0558261
    28           1406.88         0.673       1.2e+03      0.111652
    29           992.579             1            16      0.446609
    30           974.623             1         -1.38      0.510528
    31            974.27             1       -0.0501      0.170176
    32            974.17             1       -0.0245      0.131353
    33           974.145             1         0.029      0.126032
    34           974.316             1         0.325      0.129554
    35           974.129             1        0.0124      0.259108
    36           974.105             1      -0.00415      0.261358
    37            974.09             1      -0.00545     0.0871195
    38           974.089         0.581        0.0136     0.0668748
    39           974.319             1         0.411     0.0668748
    40           974.101             1        0.0312       0.13375
    41           974.082             1      -0.00138      0.534998
    42           974.079             1      -0.00123      0.197756
    43           974.075             1      -0.00174      0.127389
    44           974.071             1      0.000971     0.0629819
    45           974.083         0.475        0.0543     0.0629659
    46           974.072         0.686        0.0106      0.125932
    47           974.068             1     -0.000693      0.503727
    48           974.067             1     -0.000496      0.312371
    49           974.065             1     -0.000993      0.140044

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            377375
     1            377368      1.03e-05     -3.69e+05       4.13183
     2            272214         0.138     -3.84e+05       4.13183
     3            246588        0.0499     -2.48e+05       4.13183
     4            209476        0.0818     -2.14e+05       4.13183
     5            207018       0.00604     -2.03e+05       4.13183
     6            199519        0.0188     -1.97e+05       4.13183
     7            180920        0.0509     -1.72e+05       4.13183
     8            176166        0.0138     -1.69e+05       4.13183
     9            116606         0.219     -1.03e+05       4.13183
    10           90729.3          0.13     -9.05e+04       4.13183
    11             80448        0.0718      4.69e+07       4.13183
    12           23347.7         0.393     -6.31e+04       4.13183
    13            2831.4             1          20.9       4.13183
    14           2133.87         0.312          -872       1.37728
    15           1583.28         0.668          -179       1.37728
    16           1484.71         0.544         -53.1       1.37728
    17           1446.14             1          10.7       1.37728
    18           1437.94          0.44          5.95       1.30305
    19           1436.24        0.0457           -18       1.30305
    20           1418.68             1         -3.41       1.30305
    21           1411.11             1         -3.13      0.434349
    22           1388.31             1         -11.1      0.301432
    23           1353.57         0.131          -129      0.100477
    24           1340.47        0.0295          -220      0.100477
    25           1045.75             1         -59.3      0.100477
    26           1045.29        0.0109         -20.9     0.0334924
    27           1024.83             1      -0.00564     0.0334924
    28            1025.3             1         0.927     0.0196202
    29           1024.17             1       -0.0499     0.0392404
    30           1024.17         0.104       -0.0188     0.0130801
    31           1024.16        0.0536       -0.0237     0.0130801
    32           1024.14             1      -0.00967     0.0130801
    33           1023.91         0.286          1.18    0.00436004
    34           1023.57             1        -0.013    0.00436004
    35           1023.57             1      -0.00117    0.00145335
    36           1023.57         0.217     -0.000297   0.000484449
    37           1023.99             1         0.643   0.000484449
    38           1023.47             1        0.0541   0.000968898
    39           1023.41             1      -0.00208    0.00136221
    40            1023.4             1     -0.000899    0.00045407
    41           1023.03        0.0109         -17.3   0.000151357
    42           1023.02      0.000298         -4.27   0.000151357
    43           1023.01      0.000903          10.7   0.000151357
    44           1023.55        0.0439          13.6   0.000151357
    45            1009.8             1          9.02   0.000302713
    46           1038.82             1          49.2   0.000270119
    47           1013.64             1            15   0.000540238
    48           1005.99             1          1.93    0.00216095
    49           1005.53             1       0.00257    0.00119859
    50           1005.53       0.00509          2.37   0.000399529
    51           1036.44         0.283           116   0.000399529
    52           1060.39         0.492           128   0.000799058
    53           1005.06        0.0817          1.44    0.00319623
    54           1187.81         0.435           486    0.00319623
    55           1187.33         0.446           473    0.00639246
    56           1007.35             1           5.4     0.0255699
    57            1004.8         0.088         -1.42      0.204559
    58            1004.2             1        -0.144      0.204559
    59           1003.94             1       -0.0397      0.150386
    60           1003.89             1      -0.00865      0.149994
    61           1003.89        0.0447       -0.0278      0.049998
    62           1003.87             1      -0.00629      0.049998
    63           1003.69        0.0366         -1.85     0.0289484
    64           1393.19         0.625      1.58e+03     0.0289484
    65           1394.03         0.714      1.38e+03     0.0578968
    66            1138.1             1           289      0.231587
    67            1000.9         0.666         -1.08        1.8527
    68            1000.2             1       -0.0906        1.8527
    69           1000.15             1        0.0138      0.617566
    70           1000.15      1.17e-05       -0.0418      0.611579
    71           1000.09             1       -0.0164      0.611579
    72           1000.08             1          0.02      0.226488
    73           1000.04             1       -0.0113      0.230748
    74           1000.05         0.524        0.0693     0.0769161
    75           1000.02             1     -0.000249      0.153832
    76           999.998             1      -0.00561      0.150703
    77           1002.36             1          6.42      0.121826
    78           999.987             1      -0.00404      0.243652
    79           999.976             1      0.000327      0.118917
    80           999.964             1       -0.0031      0.116722
    81           999.956             1      -0.00173     0.0990134
    82           999.948             1      -0.00216     0.0920252
    83           999.942             1      -0.00161     0.0766763
    84           999.937             1      -0.00135     0.0653646
    85           999.933             1      -0.00121     0.0568195
    86            999.93             1      -0.00103     0.0483046
    87           999.927             1     -0.000864     0.0405141
    88           999.925             1      -0.00077       0.03431
    89           999.923             1      -0.00064     0.0281819
    90           999.921             1     -0.000566     0.0235272
    91            999.92             1     -0.000481      0.019124
    92           999.919             1     -0.000402     0.0156079
    93           999.918             1     -0.000352      0.012889
    94           999.918      1.54e-05     -0.000536     0.0103382
    95           999.917             1     -0.000178     0.0103382
    96           999.916             1     -0.000242    0.00938894
    97           999.916             1     -0.000219    0.00686722
    98           999.915             1     -0.000183     0.0056105
    99           999.915             1     -0.000131    0.00446646
   100           999.915             1      0.000154    0.00368046
   101           999.915             1      0.000446    0.00736091
   102           999.915             1     -2.79e-05     0.0294436
   103           999.915             1     -2.91e-05     0.0213218
   104           999.903      0.000611         -9.83    0.00710725
   105           997.694         0.128         -6.24    0.00710725
   106           997.481             1      0.000522    0.00710725
   107           1055.18         0.578       5.2e+03    0.00236908
   108           998.256             1          7.06    0.00473817
   109            997.45             1       -0.0117     0.0189527
   110            997.45        0.0353      -0.00816    0.00631756
   111           997.443         0.154       -0.0197    0.00631756
   112           1568.83          0.98      2.96e+03    0.00631756
   113           1554.78         0.233      1.22e+04     0.0126351
   114           997.661             1         0.459     0.0505405
   115           997.473             1          0.11      0.404324
   116           997.436             1      -0.00279       3.23459
   117            997.43             1      -0.00265        1.0782
   118           997.422             1      -0.00255      0.359399
   119           997.418             1      -0.00124        0.1198
   120           997.416             1      -0.00094     0.0399332
   121           997.432             1        0.0875     0.0133111
   122            997.41             1      -0.00214     0.0266221
   123           1049.03         0.934      1.14e+03    0.00887405
   124           997.407         0.255      -0.00618     0.0177481
   125           997.531             1         0.491     0.0177481
   126             997.4             1     -0.000131     0.0354962
   127           1043.68         0.925           646     0.0137465
   128           997.494             1         0.347     0.0274929
   129           997.391             1      -0.00353      0.109972
   130           997.428             1         0.155     0.0366572
   131           997.382             1      -0.00233     0.0733144
   132           997.381        0.0238       -0.0209     0.0244381
   133           999.113             1          6.68     0.0244381
   134           997.412             1         0.105     0.0488763
   135           997.373             1      -0.00354      0.195505
   136           997.398             1         0.112     0.0651684
   137           997.363             1      -0.00399      0.130337
   138           997.783             1          1.34     0.0434456
   139           997.355             1        0.0226     0.0868911
   140           997.354             1        0.0597     0.0885162
   141           997.297             1        0.0023      0.155878
   142           997.265             1        0.0124      0.142576
   143           997.395             1         0.213      0.140245
   144            997.35             1         0.185      0.280491
   145           997.232             1      -0.00414       1.12196
   146            997.23        0.0841      -0.00746      0.373988
   147           997.216             1      -0.00659      0.373988
   148           997.213             1        0.0593      0.124663
   149           997.239             1         0.164      0.196496
   150           997.152             1       -0.0167      0.392992
   151           998.152         0.965          2.54      0.131355
   152           997.184             1         0.141      0.262709
   153           997.134             1       -0.0074       1.05084
   154           997.122             1        0.0174      0.350279
   155           997.108             1        0.0479      0.350272
   156           997.109         0.133         0.161      0.399787
   157           997.053          0.78       -0.0189      0.799574
   158            997.04         0.907      -0.00161      0.799574
   159            997.04             1     -4.54e-05      0.799574

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           44362.9
     1           44361.4      1.82e-05     -4.12e+04       1.68519
     2           44360.1      1.64e-05     -4.12e+04       1.68519
     3             44359      1.28e-05     -4.12e+04       1.68519
     4           44357.9      1.43e-05     -4.12e+04       1.68519
     5             44356      2.25e-05     -4.12e+04       1.68519
     6           44327.9      0.000341     -4.12e+04       1.68519
     7           44311.4        0.0002     -4.12e+04       1.68519
     8           41606.1         0.032     -4.34e+04       1.68519
     9           5766.53         0.402     -2.54e+04       1.68519
    10           4168.39         0.263     -2.55e+03       1.68519
    11           3027.35          0.61      2.92e+03       1.68519
    12           6733.13         0.826      2.17e+04       1.68519
    13           6892.93         0.854      2.25e+04       3.37038
    14           5256.18             1      1.14e+04       13.4815
    15           2573.44             1           231       107.852
    16           2479.34             1         -6.76       43.9269
    17           2455.88             1         -7.12       28.1727
    18           2455.87      0.000773         -8.65       14.8939
    19           2443.88             1         -3.91       14.8939
    20           2437.18             1          -2.5       12.0323
    21           2432.85             1         -1.65       8.39897
    22           2429.97             1         -1.11       6.15926
    23           2427.98             1        -0.778       4.53618
    24           2426.54             1        -0.571       3.35304
    25           2425.43             1        -0.445       2.46322
    26           2424.51             1        -0.371         1.784
    27            2423.7             1        -0.334       1.26946
    28           2423.35         0.396        -0.407      0.886429
    29           2422.64             1        -0.304      0.886429
    30           2422.39         0.249        -0.475      0.547855
    31           2421.66             1        -0.313      0.547855
    32            2421.5         0.157        -0.518      0.355961
    33            2420.6             1        -0.384      0.355961
    34           2419.42             1        -0.498      0.234949
    35           2417.77             1        -0.727      0.163755
    36           2413.88             1         -1.86      0.106285
    37            2412.3        0.0462         -17.1     0.0456642
    38           2409.04        0.0681           -24     0.0456642
    39            2397.6         0.129         -44.7     0.0456642
    40           2184.32             1         -84.7     0.0456642
    41           2835.61         0.525      4.39e+03     0.0152214
    42           2183.89       0.00127          -169     0.0304428
    43           2086.44             1          59.8     0.0304428
    44           2024.95             1         -9.44     0.0304187
    45           2018.88             1        -0.872     0.0190054
    46           2018.33             1        -0.137    0.00633514
    47           2016.86             1        -0.426    0.00527006
    48           2016.06             1        0.0675    0.00339008
    49           2015.86             1         0.107    0.00113003
    50           2015.85             1         0.168    0.00112461
    51           2014.68             1          1.37    0.00198909
    52           23389.4         0.251      4.36e+08   0.000663029
    53           2020.42         0.136          36.8    0.00132606
    54           2125.67         0.464           907    0.00530423
    55           2109.68         0.672           575     0.0424338
    56           2004.46             1         -6.96      0.339471
    57            1958.6         0.201          -135      0.113157
    58           1945.53         0.141         -45.1      0.113157
    59           1852.99             1         -67.2      0.113157
    60           1842.21         0.725      3.73e+03      0.037719
    61           1794.71        0.0484          -461      0.037719
    62           1317.86             1          38.9      0.037719
    63           2517.94        0.0331      4.45e+06      0.012573
    64           2514.81         0.058      2.54e+06      0.025146
    65           2496.09         0.206      7.08e+05      0.100584
    66           1277.38             1         -10.4      0.804672
    67            2358.6         0.309      1.68e+05      0.581033
    68           2356.65         0.604      8.56e+04       1.16207
    69           1265.57             1          -4.6       4.64826
    70           2302.58         0.537      5.43e+04       1.54942
    71           1458.41             1      3.34e+03       3.09884
    72           1261.36             1          -2.6       12.3954
    73           1316.66             1           796       4.13179
    74           1249.64             1         -8.71       8.26358
    75            2047.4         0.512       1.9e+04       2.75453
    76           2026.71         0.954      1.01e+04       5.50905
    77           1240.62             1         -5.44       22.0362
    78            1581.8             1      2.84e+03        7.3454
    79            1220.6             1         -10.2       14.6908
    80           1570.41         0.581      3.52e+03       4.89694
    81           1402.76             1      1.08e+03       9.79387
    82           1205.64             1         -7.35       39.1755
    83           1209.09             1           128       13.0585
    84           1185.93             1         -9.42        26.117
    85           1253.57         0.895           392       8.70566
    86           1162.14             1         -1.81       17.4113
    87           1126.19         0.396     -3.26e+05       5.80378
    88              1112         0.311         -13.3       5.80378
    89           1097.47             1        -0.942       5.80378
    90           1089.62             1        -0.326       1.93459
    91           1087.77             1        -0.311        1.4381
    92           1087.49             1       -0.0877      0.479367
    93           1087.29             1       -0.0577      0.159789
    94           1087.25             1      -0.00726      0.053263
    95           1087.25             1     -0.000388     0.0177543
    96           1087.25             1     -7.45e-05    0.00591811
    97           1087.25             1     -4.31e-05     0.0019727
    98           1087.25             1     -3.19e-05   0.000657568
    99           1089.48         0.548          51.7   0.000219189
   100           1998.47         0.704      1.49e+05   0.000438379
   101           1086.68             1          1.26    0.00175351
   102           1086.12             1       -0.0156    0.00170034
   103           1086.06        0.0212         -1.31   0.000566781
   104           1086.05             1      -0.00171   0.000566781
   105           1086.05          0.26      -0.00161   0.000188927
   106           1086.05             1      -0.00122   0.000188927
   107           1086.04             1      -0.00486   6.29757e-05
   108           1085.96          0.52        -0.181   2.09919e-05
   109           9450.69         0.155      6.46e+07   2.09919e-05
   110           9450.23        0.0703      1.42e+08   4.19838e-05
   111           9448.81         0.214      4.67e+07   0.000167935
   112           1085.88             1        -0.069    0.00134348
   113           9419.55         0.106      5.65e+07   0.000447827
   114            9419.2         0.301      1.99e+07   0.000895654
   115           1085.47             1        -0.547    0.00358262
   116           9324.31        0.0263      7.24e+07    0.00119421
   117           9322.93        0.0442      4.31e+07    0.00238841
   118           9315.79         0.154      1.24e+07    0.00955365
   119           1085.95             1          20.6     0.0764292
   120           1085.35             1       -0.0458      0.611433
   121            1084.8             1        -0.446      0.203811
   122           9079.68         0.277      3.32e+06      0.067937
   123           9067.18         0.501      1.83e+06      0.135874
   124           1083.61             1        -0.742      0.543496
   125           8622.58         0.466       8.7e+05      0.181165
   126           8577.51          0.78      5.19e+05      0.362331
   127           1082.18             1        -0.807       1.44932
   128           8057.86         0.919      2.65e+05      0.483108
   129           1085.68             1          23.4      0.966216
   130           1081.34             1        -0.429       3.86486
   131           1080.97             1          4.92       1.28829
   132           1078.22             1         -0.49        1.5168
   133           1077.56         0.803        -0.293      0.505599
   134           1077.42             1       -0.0371      0.505599
   135           1077.35             1       -0.0244      0.283233
   136            1077.3             1       -0.0157      0.263391
   137           1077.27             1        -0.011      0.225918
   138           1077.25             1      -0.00829       0.18674
   139           1077.24             1      -0.00635      0.150713
   140           1077.23             1      -0.00379      0.119068
   141           1077.22             1      -0.00328      0.074765
   142           1077.21             1      -0.00282     0.0472925
   143           1077.21             1      -0.00242     0.0298496
   144            1077.2             1      -0.00208     0.0188568
   145            1077.2             1      -0.00179     0.0118974
   146            1077.2             1      -0.00155    0.00750453
   147           1077.19             1      -0.00135    0.00472324
   148           1077.19             1      -0.00118    0.00296413
   149           1077.19             1      -0.00105    0.00184754
   150           1077.18             1     -0.000977    0.00113793
   151           1077.18             1     -0.000965    0.00068315
   152           1077.18             1      -0.00109   0.000390855
   153           1077.18             1      -0.00165   0.000196631
   154           1077.16             1      -0.00859   6.55436e-05
   155           5661.59         0.481      2.85e+08   2.18479e-05
   156           5661.61         0.539      2.54e+08   4.36958e-05
   157           1077.13             1       -0.0314   0.000174783
   158            5661.5         0.063      1.06e+09    5.8261e-05
   159            5661.5         0.168      3.99e+08   0.000116522
   160           5661.49         0.551      1.21e+08   0.000466088
   161           1077.12             1       -0.0108     0.0037287
   162            5661.4         0.671      7.78e+07     0.0012429
   163           1076.94             1        -0.299     0.0024858
   164           5660.79        0.0156         1e+09   0.000828601
   165           5660.78        0.0289       5.4e+08     0.0016572
   166           5660.76         0.106      1.47e+08    0.00662881
   167           5660.55         0.833      1.87e+07     0.0530305
   168           1076.89             1       -0.0266      0.424244
   169           1076.55             1        -0.358      0.141415
   170           5658.95         0.303      2.05e+07     0.0471382
   171           5658.84         0.599      1.04e+07     0.0942764
   172           1076.09             1        -0.398      0.377106
   173           5656.68         0.471      7.63e+06      0.125702
   174           5656.55         0.929      3.86e+06      0.251404
   175           1075.68             1         -0.28       1.00561
   176           5654.68          0.91      2.87e+06      0.335205
   177           1073.85             1            -2       0.67041
   178           5647.41         0.308      3.76e+06       0.22347
   179           5646.79          0.58         2e+06       0.44694
   180           1071.16             1         -2.38       1.78776
   181           5635.02         0.471      1.34e+06       0.59592
   182           5633.97         0.878      7.14e+05       1.19184
   183           1068.62             1         -1.77       4.76736
   184           5623.21         0.859      5.05e+05       1.58912
   185           1057.37             1         -11.5       3.17824
   186           5585.86         0.437      3.77e+05       1.05941
   187           5580.03          0.67      2.42e+05       2.11883
   188           1040.93             1         -11.8        8.4753
   189           5527.84         0.729      1.08e+05        2.8251
   190           1569.41             1      4.48e+03        5.6502
   191           1025.25             1         -8.95       22.6008
   192           1128.92             1           600        7.5336
   193           1004.85             1          5.32       15.0672
   194           985.567             1          2.92        5.0224
   195           977.529             1         -1.42       2.79029
   196           974.585             1        -0.619      0.930097
   197           974.016             1       -0.0787      0.310032
   198            973.98             1      -0.00248      0.103344

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            614547
     1            614469      6.49e-05     -6.03e+05       7.63791
     2            614362      8.89e-05     -6.03e+05       7.63791
     3            588596        0.0206      -6.4e+05       7.63791
     4            581208       0.00648     -5.63e+05       7.63791
     5            311921         0.308     -5.68e+05       7.63791
     6            292000        0.0354     -2.58e+05       7.63791
     7            242353         0.107     -1.86e+05       7.63791
     8            227336        0.0338     -2.09e+05       7.63791
     9            191945        0.0932     -1.62e+05       7.63791
    10            182775        0.0259     -1.68e+05       7.63791
    11            103941         0.345     -7.87e+04       7.63791
    12           83442.5         0.103     -1.02e+05       7.63791
    13             50794         0.193     -9.09e+04       7.63791
    14           14591.7         0.337     -5.55e+04       7.63791
    15           5392.72         0.403     -9.18e+03       7.63791
    16           2984.74          0.47           524       7.63791
    17           2268.74             1      2.79e+03       7.63791
    18           1792.03             1           890       7.62378
    19           1509.48             1          27.8        7.5095
    20           1500.28             1          2.89       2.50317
    21           1496.48             1         -1.15        1.5368
    22           1516.45         0.685           252      0.512267
    23            1493.9             1          5.75       1.02453
    24           1485.29             1          -1.8      0.909249
    25           1482.81        0.0524         -23.7      0.303083
    26           1495.35         0.812      2.61e+03      0.303083
    27           1446.73             1         -19.4      0.606166
    28           1447.37         0.226      1.22e+03      0.202055
    29           1453.83         0.315      1.05e+03       0.40411
    30           1483.26         0.753           760       1.61644
    31           1435.16             1         -4.55       12.9315
    32           1423.97             1          1.64       4.31051
    33            1407.8             1       -0.0674       1.43684
    34           1403.12         0.223         -10.1      0.941354
    35           1395.06         0.402         -7.98      0.941354
    36           1386.88         0.644         -5.56      0.941354
    37            1382.7             1          -1.1      0.941354
    38           1384.53             1          5.05      0.313785
    39           1383.94             1          4.41      0.627569
    40           1381.84             1         0.643       2.51028
    41           1380.64             1        -0.301        2.5103
    42           1380.06             1        -0.152      0.836768
    43           1379.74             1         -0.11      0.716659
    44           1379.53             1        -0.078      0.390509
    45            1379.3             1       -0.0884       0.20513
    46           1720.89          0.45      1.64e+04     0.0683768
    47           1723.29         0.906      8.22e+03      0.136754
    48           1379.11             1       -0.0882      0.547014
    49           1735.46         0.927      6.25e+03      0.182338
    50           1379.12             1         0.927      0.364676
    51           1379.03             1       -0.0422        1.4587
    52            1378.9             1         0.308      0.486235
    53            1382.1             1          11.6        0.4858
    54           1378.55             1       -0.0466      0.971599
    55           1380.81             1          7.14      0.650528
    56           1378.32             1      -0.00127       1.30106
    57           1378.36             1          0.59       1.13255
    58           1378.12             1       -0.0697       2.26509
    59           1381.99             1          10.7      0.755031
    60           1378.06             1           0.2       1.51006
    61           1377.88             1        0.0924       1.63496
    62           1377.74             1         0.138       1.63409
    63           1377.58             1        0.0987       1.63823
    64           1377.43             1         0.061       1.63823
    65            1377.3         0.764       -0.0217       1.63707
    66           1377.21             1        0.0361       1.63707
    67           1377.11             1      -0.00137       1.63698
    68           1377.04             1       0.00253       1.56302
    69           1376.97             1      -0.00593       1.52297
    70           1376.91             1      -0.00398       1.42471
    71           1376.85             1      -0.00716        1.3502
    72            1376.8             1      -0.00572        1.2401
    73           1376.76             1      -0.00737       1.15239
    74           1376.71             1      -0.00637       1.04534
    75           1376.66             1       -0.0076      0.957503
    76           1376.62             1      -0.00704      0.858373
    77           1376.57             1      -0.00839      0.774029
    78           1376.53             1      -0.00836      0.680952
    79           1376.48             1       -0.0104      0.599235
    80           1376.44         0.461       -0.0289      0.508543
    81           1376.38             1       -0.0253      0.508543
    82           1376.26             1       -0.0373      0.169514
    83           1376.43             1         0.929     0.0565048
    84           1376.16             1        0.0284       0.11301
    85           1376.09             1       -0.0139      0.105611
    86           1376.06             1      -0.00937     0.0633328
    87           1376.04             1      -0.00646     0.0563712
    88           1376.03             1      -0.00446     0.0434433
    89           1376.02             1      -0.00489     0.0235175
    90           1376.01             1      -0.00457     0.0142311
    91              1376             1      -0.00412    0.00874397
    92           1375.99             1      -0.00348     0.0055611
    93           1375.99             1      -0.00275    0.00359116
    94           1375.98             1      -0.00121    0.00261661
    95           1375.98             1       0.00264    0.00240019
    96           1375.99             1        0.0146    0.00265862
    97           1375.99             1        0.0145    0.00531724
    98           1375.99             1        0.0118     0.0212689
    99           1375.98             1        0.0023      0.170152
   100           1375.98             1       0.00074      0.179301
   101           1375.98             1      0.000203      0.185164

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           70494.9
     1           70485.2      7.03e-05      -6.9e+04        0.2501
     2           70480.9      3.14e-05     -6.89e+04        0.2501
     3           70464.9      0.000116      -6.9e+04        0.2501
     4           70458.7      4.48e-05     -6.89e+04        0.2501
     5             70388      0.000512     -6.93e+04        0.2501
     6             70379      6.51e-05     -6.89e+04        0.2501
     7           70275.4       0.00075     -6.94e+04        0.2501
     8           69927.6       0.00249     -7.08e+04        0.2501
     9           19239.2         0.165     -2.36e+05        0.2501
    10           15714.4        0.0973     -1.83e+04        0.2501
    11           12886.4         0.097     -1.47e+04        0.2501
    12           7734.81         0.212     -1.18e+04        0.2501
    13           6200.41         0.132     -5.25e+03        0.2501
    14           5608.46        0.0652     -4.25e+03        0.2501
    15            3844.3         0.305     -1.96e+03        0.2501
    16           3665.83        0.0395     -2.08e+03        0.2501
    17           2188.42         0.907          -303        0.2501
    18           1928.33         0.296          -260        0.2501
    19           1740.64         0.318          -164        0.2501
    20           1563.07         0.313          -182        0.2501
    21            1191.6             1         -62.5        0.2501
    22           1006.91             1         -28.7      0.238858
    23            986.56             1         -4.52     0.0858268
    24           983.595         0.614         -1.56     0.0286089
    25           981.786             1        -0.352     0.0286089
    26           981.622             1       -0.0394    0.00953632
    27           981.594             1      -0.00601    0.00317877
    28            981.59             1      -0.00132    0.00105959
    29           981.588             1     -0.000496   0.000645272
    30           981.588             1     -0.000319   0.000417558
    31           981.587             1     -0.000239   0.000282113

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            883221
     1            882869      0.000204     -8.63e+05      0.826783
     2            882524        0.0002     -8.63e+05      0.826783
     3            882455      4.02e-05     -8.63e+05      0.826783
     4            882407      2.75e-05     -8.63e+05      0.826783
     5            882179      0.000132     -8.63e+05      0.826783
     6            678450          0.12     -9.11e+05      0.826783
     7            588268        0.0675     -6.68e+05      0.826783
     8            408560         0.145     -6.38e+05      0.826783
     9            406086       0.00309     -3.99e+05      0.826783
    10            331844         0.101     -3.35e+05      0.826783
    11            331463      0.000586     -3.25e+05      0.826783
    12            329349       0.00323     -3.31e+05      0.826783
    13            323354       0.00902     -3.44e+05      0.826783
    14            295707        0.0376     -4.27e+05      0.826783
    15            183550         0.105     -9.84e+05      0.826783
    16           83625.1         0.115     -1.05e+06      0.826783
    17           76451.9        0.0438      -8.5e+04      0.826783
    18           34336.3         0.261     -9.02e+04      0.826783
    19           20862.2         0.744       2.5e+06      0.826783
    20           17746.7        0.0895     -2.15e+04      0.826783
    21           22121.3        0.0979      1.76e+05      0.826783
    22           21102.4         0.198      7.47e+04       1.65357
    23           10067.2         0.282     -1.23e+04       6.61427
    24           3466.15         0.494      6.85e+03       6.61427
    25           2452.52         0.337       9.4e+03       6.61427
    26           2002.48             1         -33.4       6.61427
    27           1958.87             1         -10.5       2.20476
    28           1938.02             1         -4.73      0.734919
    29           1931.36             1         -2.37      0.244973
    30           1904.05             1         -8.36     0.0816576
    31           1870.71             1           222     0.0272192
    32           1795.33             1          19.7     0.0423694
    33           1762.05        0.0878          -157     0.0475914
    34           3228.18             1      1.13e+04     0.0475914
    35           2709.35             1      7.08e+03     0.0951827
    36           1905.38             1      1.52e+03      0.380731
    37           1612.73             1          84.6       3.04585
    38           2583.35             1      2.19e+03       1.01528
    39           2518.04             1      2.12e+03       2.03056
    40           1904.68             1           710       8.12226
    41           1572.16             1         -10.2       64.9781
    42           1555.39         0.682         -10.1       40.3242
    43           1540.45             1         -6.16       40.3242
    44           1529.37             1          12.5       13.4414
    45           1516.62         0.428           -10       13.4527
    46           1502.48             1         -2.87       13.4527
    47           1491.65             1         -3.65       11.7486
    48           1478.26             1         -5.56       6.64517
    49           1444.31             1         -11.1       2.21506
    50           1431.25         0.462         -9.65      0.738352
    51           1421.56             1          -1.7      0.738352
    52           1419.36             1         -0.45      0.260545
    53           1421.29             1          20.1     0.0868484
    54           1418.62             1        -0.264      0.173697
    55           4090.96         0.549      6.55e+05     0.0578989
    56           1626.57         0.989      2.92e+03      0.115798
    57           1418.27             1        -0.175      0.463191
    58           1508.86             1      1.71e+03      0.154397
    59           1417.83             1         0.509      0.308794
    60           1620.98             1       3.4e+03      0.252422
    61           1416.37             1        -0.376      0.504844
    62           3778.94         0.649      8.18e+04      0.168281
    63           1919.37             1      5.82e+03      0.336563
    64           1415.41             1        -0.248       1.34625
    65           1415.65         0.546          6.41       0.44875
    66           1414.96         0.853          1.96        0.8975
    67           1413.51             1         0.209        0.8975
    68           1412.81             1         0.518      0.302107
    69           1412.45             1        0.0997      0.290476
    70           1412.26             1       -0.0411      0.275607
    71           1412.16             1       -0.0213       0.24134
    72           1412.08             1        -0.025      0.227807
    73           1412.02             1       -0.0158      0.179221
    74           1411.98             1       -0.0147        0.1591
    75           1411.95             1       -0.0112      0.125772
    76           1411.66             1        -0.117      0.104878
    77           2024.29         0.832      1.96e+04     0.0349593
    78           2026.86         0.922      1.91e+04     0.0699186
    79           1411.98             1          11.4      0.279674
    80           1411.14             1        -0.272       2.23739
    81           1409.95             1        -0.173      0.745798
    82           1408.16             1        -0.249      0.248599
    83           1403.85             1         -1.24      0.173605
    84            1400.1         0.836         -1.34      0.165757
    85           1393.89             1         -2.29      0.165757
    86           1388.89         0.163         -13.4      0.133364
    87           1386.14         0.353         -1.67      0.133364
    88           1404.07          0.79          56.5      0.133364
    89           1385.79          0.75          3.04      0.266728
    90           1388.65         0.771          8.65      0.266728
    91           1384.51             1          1.11      0.533457
    92           1383.06         0.448          -1.1      0.538878
    93           1381.48             1        -0.508      0.538878
    94           1379.52         0.681         -1.35      0.182593
    95           1375.96         0.728         -2.38      0.182593
    96           1364.32             1         -5.75      0.182593
    97           1361.83        0.0163         -76.1     0.0608642
    98           1338.13         0.138         -84.6     0.0608642
    99           1128.11         0.641          -127     0.0608642
   100           1123.52        0.0163          -140     0.0608642
   101           1000.61             1          10.3     0.0608642
   102           1055.59         0.344           380     0.0358508
   103           1055.62         0.658           224     0.0717017
   104           986.225             1         -1.35      0.286807
   105           984.096             1        -0.308      0.177641
   106           985.196             1          2.72      0.113231
   107           983.753             1       0.00832      0.226461
   108           983.599             1       -0.0282      0.207859
   109            983.57             1        0.0341      0.158211
   110           983.605             1          0.12      0.162027
   111           983.526             1      -0.00607      0.324053
   112           983.501             1      -0.00726      0.275758
   113           983.473             1       -0.0102     0.0919192
   114           983.467             1        0.0168     0.0790679
   115           984.106             1          1.16     0.0877722
   116           983.538             1         0.139      0.175544
   117           983.453             1      -0.00238      0.702177
   118            983.45             1      -0.00138      0.331127
   119           983.445             1      -0.00209      0.183396
   120           983.436             1      -0.00352     0.0710792
   121           983.443             1        0.0255     0.0504174
   122           983.434             1       0.00229      0.100835
   123           983.485             1        0.0964      0.101907
   124           983.437             1       0.00923      0.203815
   125           983.432             1     -0.000521       0.81526
   126            983.43             1      -0.00041      0.323158
   127           983.429             1      -0.00062      0.231496
   128           983.426             1      -0.00145     0.0771655
   129           983.426             1       0.00618     0.0356861
   130           984.262             1          1.53     0.0616492
   131           983.557             1          0.24      0.123298
   132           983.422             1      0.000213      0.493193
   133            983.42             1     -0.000164      0.486472

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            257158
     1            257152      1.16e-05     -2.52e+05       1.65121
     2            257145      1.29e-05     -2.52e+05       1.65121
     3            257138      1.41e-05     -2.52e+05       1.65121
     4            257131      1.38e-05     -2.52e+05       1.65121
     5            256734      0.000787     -2.53e+05       1.65121
     6            252547       0.00822     -2.58e+05       1.65121
     7            249162        0.0068      -2.5e+05       1.65121
     8            237907        0.0225     -2.56e+05       1.65121
     9            162374         0.127     -4.06e+05       1.65121
    10           83792.4         0.178     -2.82e+05       1.65121
    11           55016.7         0.156     -1.03e+05       1.65121
    12           8030.25         0.436      1.91e+04       1.65121
    13           15620.7         0.769      2.09e+05       1.65121
    14           15419.4         0.841       1.7e+05       3.30241
    15           6312.09         0.142     -5.74e+03       13.2096
    16           3568.01             1      6.91e+03       13.2096
    17           6618.12             1      1.25e+04       13.1292
    18           2531.15             1      1.43e+03       26.2584
    19           1638.62         0.945         -84.1       26.2405
    20           1493.63             1         -33.8       26.2405
    21           1474.13         0.432         -20.5       8.74685
    22           1462.99             1         -1.47       8.74685
    23           1458.85         0.557         -2.39       3.56612
    24           1454.34             1         -1.75       3.56612
    25           1446.05             1         -5.16       1.18871
    26           1419.63             1          3.13      0.396235
    27           3681.89         0.719      1.74e+05      0.132078
    28           1472.02             1           877      0.264157
    29           1408.36             1         -2.67       1.05663
    30           1860.48             1      8.05e+03      0.352209
    31           1405.56             1          1.93      0.704418
    32           1403.47             1         0.858      0.234806
    33           1400.35         0.863      -0.00503      0.215841
    34           1399.96             1         0.485      0.215841
    35           1399.59             1        0.0541      0.216012
    36           1399.52             1        0.0826      0.207418
    37           1399.44         0.585       -0.0121      0.214912
    38           1399.41             1       -0.0121      0.214912
    39            2045.4         0.744      3.06e+04      0.144687
    40           2047.94         0.933      2.38e+04      0.289373
    41           1398.06             1        -0.498       1.15749
    42           1397.52             1         0.543      0.385831
    43           1397.35             1       -0.0299      0.318438
    44           1397.39             1         0.836      0.106146
    45           1397.26             1       -0.0469      0.212292
    46           1435.44         0.949           380      0.070764
    47           1397.31             1         0.835      0.141528
    48           1397.17             1       -0.0461      0.566112
    49           1396.92             1         0.216      0.188704
    50           1396.92      5.27e-05         -1.63       0.11017
    51            1398.4             1          4.39       0.11017
    52           1396.52             1          1.24      0.220341
    53           1395.13         0.442          1.06      0.255689
    54           1408.23             1          17.4      0.255689
    55           1395.22             1          4.33      0.511379
    56           1390.68             1        -0.947       2.04551
    57           1389.09             1        -0.277       1.26059
    58           1387.75             1        -0.446       1.16927
    59           1386.66             1         -0.43      0.828012
    60            1385.6             1         -0.43      0.549634
    61            1384.8         0.758        -0.448      0.415001
    62           1383.98             1        -0.354      0.415001
    63           1382.89             1        -0.471      0.269356
    64           1382.64         0.135        -0.909      0.184346
    65           1380.91             1        -0.784      0.184346
    66           1379.92           0.2         -2.41      0.109535
    67           1373.64             1         -3.05      0.109535
    68           1314.55         0.751         -37.7     0.0365115
    69           993.294             1         -45.4     0.0365115
    70            1072.5         0.478           292     0.0121705
    71           1061.96         0.562           219      0.024341
    72           1035.98             1          81.7     0.0973641
    73           984.194             1         -0.46      0.778913
    74           985.383             1          2.63      0.259638
    75           984.113             1         0.196      0.519275
    76           983.843             1       -0.0414      0.580068
    77           983.688             1       -0.0387      0.193356
    78           983.599             1       -0.0306      0.189781
    79           983.547             1       -0.0196      0.165152
    80            983.51             1        -0.014      0.140307
    81           983.483             1       -0.0105      0.114872
    82           983.463             1      -0.00809     0.0927664
    83            983.45             1      -0.00129     0.0746906
    84           983.449         0.289        0.0121     0.0727849
    85           983.437             1      -0.00324     0.0727849
    86           983.462         0.621        0.0794     0.0562096
    87           983.459         0.987        0.0456      0.112419
    88           983.435             1     -0.000491      0.449677
    89           983.433             1     -0.000566      0.382545

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           40607.7
     1           31597.5         0.163     -2.49e+04      0.746474
     2           30787.3         0.014     -2.85e+04      0.746474
     3           26664.6        0.0644     -3.81e+04      0.746474
     4           20602.8         0.094     -4.31e+04      0.746474
     5           12824.8          0.15     -3.51e+04      0.746474
     6           12657.3       0.00746     -1.14e+04      0.746474
     7           10463.2        0.0859     -1.51e+04      0.746474
     8           7397.96         0.157     -8.47e+03      0.746474
     9           4900.45         0.342      1.75e+05      0.746474
    10            5385.5         0.498      9.36e+04      0.746474
    11           6196.36          0.52      9.52e+04       1.49295
    12           45713.8         0.652      8.84e+05       5.97179
    13              2757         0.699      7.02e+03       47.7743
    14           2131.93             1      1.57e+03       47.7743
    15           1764.71             1          84.6       46.6832
    16           1745.69             1          97.6       17.0992
    17           1696.75             1          2.52       17.5463
    18           1596.97         0.551           297       5.84876
    19           1618.23             1           239       5.84876
    20           1550.94             1          30.8       11.6975
    21           1529.57             1        -0.637       10.3881
    22           1527.18         0.574         -1.72       3.46271
    23           1526.71         0.183         -1.26       3.46271
    24           1524.73             1        -0.893       3.46271
    25           1521.99             1         -1.16       1.15424
    26           1519.75             1        -0.749      0.384745
    27           1524.59             1          21.8      0.128248
    28           1499.92             1         -4.59      0.256497
    29           1481.28         0.471         -8.62      0.225714
    30           1470.04         0.819          -0.5      0.225714
    31           1461.05             1         0.545      0.225714
    32           1458.82         0.226            -4     0.0752378
    33           1458.23        0.0716         -3.28     0.0752378
    34            1476.3             1          22.6     0.0752378
    35           1468.27             1            15      0.150476
    36           1457.85             1          3.11      0.601903
    37           1452.86             1         -1.02      0.918451
    38              1451         0.967        -0.568      0.597254
    39           1450.22             1          -0.3      0.597254
    40           1449.48             1        -0.294      0.364922
    41           1448.89         0.842        -0.289      0.279377
    42           1448.34             1        -0.232      0.279377
    43           1447.61             1        -0.303      0.177217
    44           1446.57             1        -0.443      0.127792
    45           1444.44             1        -0.969      0.091434
    46           1441.27         0.337         -4.58     0.0580645
    47           1426.61         0.575         -12.6     0.0580645
    48           1355.92         0.424         -79.3     0.0580645
    49           1056.96             1         -40.2     0.0580645
    50           1055.99        0.0623         -4.53     0.0193548
    51           1071.23         0.507          69.2     0.0193548
    52           1061.93             1          14.6     0.0387097
    53              1049             1         0.109      0.154839
    54           1048.43             1       0.00118     0.0878468
    55           1048.12             1       -0.0551     0.0877926
    56           1048.14             1         0.147     0.0509764
    57           1048.08             1       -0.0113      0.101953
    58           1048.04             1       -0.0105     0.0877835
    59           1048.02             1      -0.00562     0.0731769
    60              1048             1      -0.00619     0.0646967
    61           1047.98             1      -0.00347     0.0508561
    62           1047.96             1      -0.00733     0.0442119
    63           1047.93             1      -0.00867     0.0284828
    64            1047.8             1       -0.0552     0.0228005
    65            1047.3             1          0.27    0.00760016
    66           1046.97             1        0.0494    0.00760016
    67           1047.17             1         0.495    0.00549938
    68           1047.13             1         0.447     0.0109988
    69           1047.07             1         0.355      0.043995
    70            998.59          0.52         -36.8       0.35196
    71           991.933             1         -0.23       0.35196
    72            991.61         0.112         -1.36      0.267846
    73           990.655             1       -0.0341      0.267846
    74           990.624             1       0.00438     0.0901742
    75           990.617             1       -0.0005     0.0663038
    76           990.612             1      -0.00216      0.052925
    77           990.605             1       0.00245     0.0254626
    78            990.59             1      -0.00561      0.025396
    79           990.552             1      -0.00435     0.0119666
    80           990.546        0.0181        -0.166     0.0106794
    81           990.187             1        -0.175     0.0106794
    82           985.375         0.242         -9.54    0.00355978
    83           985.368         0.017        -0.188    0.00355978
    84           985.194             1       -0.0188    0.00355978
    85           985.185         0.265       -0.0125    0.00118659
    86           985.165             1      -0.00254    0.00118659
    87           985.161             1      -0.00124   0.000395532
    88            985.16             1     -0.000586   0.000287056
    89           985.159             1     -0.000451   0.000178685

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       1.42824e+06
     1       1.42648e+06      0.000623     -1.41e+06         5.883
     2        1.4233e+06       0.00113      -1.4e+06         5.883
     3       1.41846e+06       0.00173      -1.4e+06         5.883
     4       1.41572e+06       0.00098      -1.4e+06         5.883
     5       1.34996e+06        0.0244      -1.3e+06         5.883
     6       1.28233e+06         0.026     -1.27e+06         5.883
     7       1.27822e+06       0.00163     -1.27e+06         5.883
     8       1.17526e+06        0.0416     -1.21e+06         5.883
     9       1.16242e+06       0.00557     -1.14e+06         5.883
    10       1.11072e+06        0.0232     -1.08e+06         5.883
    11       1.05287e+06        0.0273     -1.02e+06         5.883
    12            852098         0.113     -7.12e+05         5.883
    13            650409         0.114     -9.09e+05         5.883
    14            614028        0.0283     -6.48e+05         5.883
    15            583896        0.0248      -6.1e+05         5.883
    16            288843         0.258     -5.41e+05         5.883
    17           10399.8          0.66     -6.65e+04         5.883
    18           8228.83         0.154     -6.02e+03         5.883
    19           2393.84             1          -886         5.883
    20           1960.24             1         -58.5         1.961
    21           1922.24             1         -7.23      0.653667
    22            1901.4         0.175          33.1      0.217889
    23           1889.32         0.732         -4.63      0.217889
    24           1886.37             1        -0.756      0.217889
    25           1884.41             1        -0.617     0.0726296
    26            1886.9             1          8.19     0.0544104
    27           1881.99             1         0.146      0.108821
    28            1879.8         0.117         -6.86      0.108701
    29           1878.91        0.0232         -17.7      0.108701
    30           1896.01             1          26.1      0.108701
    31           1872.98             1          4.47      0.217402
    32            1826.3         0.386         -54.1      0.241835
    33           1560.34             1         -76.7      0.241835
    34            1494.9             1         0.484     0.0806116
    35           1487.46             1         -0.34     0.0802016
    36           1425.17         0.182          -148     0.0267339
    37           1414.52             1         -1.48     0.0267339
    38           1411.38             1         -1.33    0.00891128
    39           1408.04             1         -2.03    0.00297043
    40           1398.63             1         -6.56   0.000990143
    41           1395.34         0.143         -12.4   0.000330048
    42           1395.34      1.04e-05         -11.3   0.000330048
    43           1394.14        0.0518         -11.7   0.000330048
    44            1373.5             1         0.951   0.000330048
    45           1368.05          0.52         -3.66   0.000110016
    46           1365.45             1        -0.442   0.000110016
    47           1361.59         0.052          63.9    3.6672e-05
    48           1360.78       0.00155          -259    3.6672e-05
    49           1359.77       0.00226          -193    3.6672e-05
    50           4297.15             1      3.25e+03    3.6672e-05
    51           4294.01             1      3.25e+03   7.33439e-05
    52              4284             1      3.24e+03   0.000293376
    53           4203.51             1      3.15e+03    0.00234701
    54           3660.73             1      2.56e+03      0.018776
    55           2008.87             1           757      0.150208
    56            1351.8             1          11.6       1.20167
    57           1329.49             1            -4       1.59918
    58           1320.71             1         -1.88       1.59898
    59           1318.69             1         -0.58       1.52761
    60           1317.88             1        -0.282       1.44126
    61           1317.41             1        -0.174       1.31419
    62           1317.09             1        -0.122       1.13586
    63           1316.86             1        -0.091       0.94366
    64           1316.68             1       -0.0702      0.767422
    65           1316.56             1       -0.0505      0.617749
    66           1316.48             1       -0.0328      0.465069
    67           1316.42             1       -0.0284      0.292443
    68           1316.36             1       -0.0243      0.185016
    69           1316.31             1       -0.0209      0.116972
    70           1316.27             1       -0.0179     0.0739607
    71           1316.23             1       -0.0154     0.0467553
    72           1315.46             1        -0.387     0.0295382
    73           1121.35         0.631         -56.6    0.00984606
    74           1030.73             1         -5.37    0.00984606
    75            1016.5             1         -1.15    0.00412088
    76           1015.79         0.089         -3.77    0.00137363
    77           1013.29         0.597          -1.1    0.00137363
    78           1013.08         0.234        -0.403    0.00137363
    79              1013             1        0.0014    0.00137363
    80           1012.87             1       -0.0692   0.000457876
    81           1182.06        0.0547      8.13e+05   0.000152625
    82           1182.24         0.103      4.31e+05    0.00030525
    83           1183.27         0.394      1.14e+05      0.001221
    84           1012.75             1       -0.0381    0.00976801
    85           1184.13         0.328      9.27e+04      0.003256
    86            1184.5         0.645      4.72e+04    0.00651201
    87            1012.7             1       -0.0259      0.026048
    88           1183.57         0.249      7.44e+04    0.00868268
    89           1183.53         0.482      3.84e+04     0.0173654
    90           1012.62             1       -0.0741     0.0694614
    91           1180.03         0.338      2.55e+04     0.0231538
    92           1179.74         0.642      1.34e+04     0.0463076
    93           1012.51             1       -0.0772       0.18523
    94            1174.8          0.57      8.97e+03     0.0617435
    95           1022.83             1           118      0.123487
    96           1012.43             1       -0.0495      0.493948
    97           1016.47             1          31.7      0.164649
    98           1012.24             1       -0.0968      0.329299
    99           1160.39         0.624      3.41e+03      0.109766
   100           1033.53             1           162      0.219532
   101           1012.05             1       -0.0953       0.87813
   102           1016.49             1          21.9       0.29271
   103           1011.82             1        0.0375       0.58542
   104           1061.01             1           275       0.19514
   105           1012.69             1          3.65       0.39028
   106           1011.58             1       -0.0863       1.56112
   107           1011.56             1         0.543      0.520373
   108           1011.23             1        -0.045      0.869408
   109           1011.17             1       -0.0245      0.289803
   110           1011.11             1        -0.026     0.0966009
   111           1011.05             1       -0.0276     0.0322003
   112           1010.92             1       -0.0657     0.0107334
   113           1008.56             1         -1.16    0.00357781
   114           1006.53         0.018         -56.1     0.0011926
   115           1006.29       0.00258         -45.6     0.0011926
   116           1006.15       0.00163         -45.3     0.0011926
   117            998.32        0.0897         -41.8     0.0011926
   118            998.28        0.0212        -0.951     0.0011926
   119           998.224        0.0317        -0.859     0.0011926
   120           997.259             1        -0.174     0.0011926
   121           997.158             1       -0.0221   0.000397534
   122           997.134             1        -0.029   0.000132511
   123           997.604       0.00933     -2.58e+03   4.41705e-05
   124           997.604        0.0143     -1.69e+03    8.8341e-05
   125           997.601        0.0458          -526   0.000353364
   126           997.579         0.342         -70.4    0.00282691
   127           997.122             1      -0.00788     0.0226153
   128           997.457         0.591         -25.2    0.00753843
   129           997.051             1       -0.0349     0.0150769
   130           997.047         0.111         -14.5    0.00502562
   131           996.873         0.256        -0.287    0.00502562
   132           996.662             1        0.0014    0.00502562
   133           996.697             1        0.0684    0.00167521
   134           996.691             1        0.0604    0.00335041
   135           996.668             1        0.0312     0.0134017
   136           996.649             1      -0.00132      0.107213
   137           996.645             1      -0.00214     0.0966903
   138           996.628             1      -0.00848     0.0322301
   139           996.684             1         0.193     0.0107434
   140           996.589             1       -0.0171     0.0214867
   141           996.945         0.394          2.17    0.00716224
   142           996.966             1         0.929     0.0143245
   143            996.56             1       -0.0102     0.0572979
   144           997.213         0.671          2.45     0.0190993
   145           996.658             1          0.27     0.0381986
   146           996.548             1      -0.00475      0.152795
   147           996.562             1        0.0617     0.0509315
   148           996.536             1      -0.00335      0.101863
   149           996.526             1      -0.00216     0.0756461
   150           996.517             1      -0.00222      0.066266
   151           996.511             1      0.000321     0.0545718
   152           996.505             1      -0.00166     0.0539046
   153           996.503             1       0.00283     0.0394017
   154           996.498             1      -0.00134       0.04115
   155             996.5             1       0.00799     0.0242306
   156           996.496             1      -0.00057     0.0484613
   157           996.495             1      0.000135     0.0362191
   158           996.493             1     -0.000427     0.0359727
   159           996.492             1      0.000132     0.0282489
   160           996.491             1     -0.000287     0.0281302
   161            996.49             1      4.92e-05     0.0230513
   162            996.49             1     -0.000189     0.0228307
   163           996.489             1     -8.49e-06     0.0193221
   164           996.489             1     -0.000127     0.0188932
   165           996.488             1     -3.22e-05     0.0163381
   166           996.488             1     -8.84e-05     0.0157102
   167           996.487             1     -3.84e-05     0.0137884
   168           996.487             1     -6.43e-05     0.0130397
   169           996.487             1     -3.75e-05     0.0115597
   170           996.487             1     -4.87e-05     0.0107744
   171           996.486             1     -3.41e-05     0.0096085
   172           996.486             1     -3.85e-05     0.0088453
   173           996.486             1     -3.02e-05    0.00790023
   174           996.486             1     -3.16e-05    0.00719048
   175           996.486             1     -2.68e-05    0.00640127
   176           996.486             1      -2.7e-05    0.00575276
   177           996.485             1     -2.43e-05    0.00507306
   178           996.485             1      -2.4e-05    0.00447568
   179           996.485             1     -2.23e-05    0.00387263
   180           996.485             1     -2.21e-05    0.00332618
   181           996.485             1     -2.12e-05    0.00277624
   182           996.485             1     -2.18e-05    0.00227113
   183           996.485             1     -2.05e-05    0.00176234
   184           996.485             1     -2.14e-05     0.0013382
   185           996.485             1     -1.99e-05   0.000970175
   186           996.485             1     -1.87e-05   0.000726097
   187           996.485         0.127     -3.44e-05    0.00052835
   188           996.485             1     -6.89e-06    0.00052835
   189           996.485             1     -1.75e-05   0.000176117

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       3.05262e+06
     1       3.05253e+06      1.44e-05     -3.03e+06       5.78903
     2       3.05223e+06      5.05e-05     -3.03e+06       5.78903
     3       3.05204e+06      3.14e-05     -3.03e+06       5.78903
     4       3.05195e+06      1.42e-05     -3.03e+06       5.78903
     5       3.05089e+06      0.000175     -3.03e+06       5.78903
     6       3.04823e+06       0.00044     -3.02e+06       5.78903
     7       2.98064e+06        0.0112     -2.99e+06       5.78903
     8       2.96932e+06       0.00192     -2.95e+06       5.78903
     9       2.09822e+06         0.182     -1.61e+06       5.78903
    10       2.01727e+06        0.0204     -1.88e+06       5.78903
    11       1.76874e+06         0.083     -7.12e+05       5.78903
    12       1.75636e+06       0.00355     -1.74e+06       5.78903
    13       1.58454e+06        0.0488     -1.79e+06       5.78903
    14       1.44214e+06        0.0443     -1.65e+06       5.78903
    15       1.06234e+06         0.121     -1.72e+06       5.78903
    16            165661          0.36     -1.16e+06       5.78903
    17           8643.62         0.696      3.47e+04       5.78903
    18           11550.5         0.424      3.83e+05       5.78903
    19             10016         0.681      1.22e+05       11.5781
    20           8521.24          0.96      4.28e+04       46.3122
    21            4309.1             1           753       46.3122
    22           3999.27             1           294       15.4374
    23           3862.37         0.891         -28.5       10.2496
    24           3828.71             1         -6.23       10.2496
    25           3816.17             1         -4.67       3.41654
    26           3813.77         0.383         -2.88       2.66422
    27           3810.12             1          -1.6       2.66422
    28           3807.33         0.723         -2.06       1.34706
    29           3804.38             1         -1.81       1.34706
    30           4013.28             1           944       0.44902
    31           3593.13             1           542       0.89804
    32           4128.57         0.721      3.01e+04       1.05108
    33           4727.03         0.862      3.36e+04       2.10215
    34           3185.14             1      1.49e+03       8.40861
    35           3253.75         0.923      1.86e+03       8.40562
    36           2564.81             1          19.1       16.8112
    37           2496.43         0.725         -26.5       10.8711
    38           2472.27         0.993         -5.86       10.8711
    39           2464.64             1         -2.04       10.8711
    40           2458.61             1         -1.34       9.85921
    41            2453.7             1         -1.39       9.46933
    42           2450.18             1         -1.15        8.6489
    43           2447.65             1        -0.894       7.43392
    44           2445.73             1        -0.704       6.15201
    45           2444.25             1         -0.55       4.98375
    46           2443.13             1        -0.423       4.00782
    47           2442.27             1        -0.323       3.21962
    48           2441.62             1        -0.251       2.57508
    49           2441.42         0.343        -0.273       2.03061
    50           2441.03             1        -0.148       2.03061
    51           2440.73             1        -0.122       1.62062
    52           2440.47             1        -0.106       1.23975
    53           2440.24             1       -0.0954      0.920359
    54           2439.41             1        -0.292      0.668415
    55           2439.17        0.0072         -16.4      0.595613
    56           2439.17      2.75e-05         -7.27      0.595613
    57           2436.32         0.417         0.752      0.595613
    58           2431.29             1        -0.678      0.595613
    59           2430.28             1        -0.161      0.351619
    60           2430.05             1          0.16      0.304991
    61           2429.72             1        0.0176      0.305692
    62           2429.66             1         0.317      0.240865
    63           2431.68             1          6.22      0.287624
    64           2429.49             1         0.136      0.575248
    65           2429.34             1         0.172      0.575267
    66           2429.41         0.703         0.716      0.575263
    67           2429.12             1      -0.00833       1.15053
    68           2429.04         0.338       -0.0862      0.971728
    69           2428.98             1      -0.00244      0.971728
    70           2428.96             1      -0.00708      0.323909
    71           2445.04             1          66.4       0.10797
    72           2428.55             1           0.1       0.21594
    73           2435.56             1          17.6      0.203479
    74           2428.29             1         0.385      0.406958
    75           2427.41             1        -0.166      0.418052
    76           2426.25             1        -0.402      0.361385
    77           2423.91             1        -0.955      0.313269
    78            2424.6         0.682          3.92      0.220507
    79           2423.87             1          1.29      0.441013
    80           2422.77             1        -0.158      0.803428
    81            2422.6         0.172        -0.507      0.267809
    82           2422.42             1       -0.0601      0.267809
    83           2422.26             1        -0.068       0.17602
    84           2422.07             1         0.212     0.0586734
    85           4053.96          0.75      7.55e+04     0.0586574
    86           2423.87             1          7.83      0.117315
    87            2421.8             1       -0.0538      0.469259
    88           2421.67         0.452      -0.00066       0.15642
    89           2449.91             1           132       0.15642
    90           2421.69             1         0.635      0.312839
    91           2421.54             1       -0.0463       1.25136
    92           2421.42             1         0.223      0.417119
    93            2421.4             1         0.755      0.417878
    94           2420.68             1         -0.14      0.752417
    95           2420.51             1         0.314      0.281726
    96           2419.71             1        -0.261      0.315652
    97           2418.89         0.796         -0.45      0.154261
    98           2417.47             1        -0.658      0.154261
    99           2410.29             1          -3.5     0.0514204
   100           2407.25        0.0207         -73.5     0.0188943
   101           2399.48        0.0375          -104     0.0188943
   102           2123.15             1         -94.2     0.0188943
   103           2847.42         0.248      1.34e+04     0.0062981
   104           2811.21         0.497      5.52e+03     0.0125962
   105           2025.79             1          2.95     0.0503848
   106           2020.69             1        -0.715     0.0273254
   107           2018.59             1        -0.218     0.0273023
   108           2018.36             1       -0.0828    0.00910078
   109            2018.3        0.0396        -0.741    0.00826708
   110           2016.88             1        -0.374    0.00826708
   111           2016.06             1       0.00898    0.00576805
   112           2015.87             1        0.0652    0.00192268
   113           2015.05         0.575        -0.654    0.00182588
   114            2983.7         0.032      5.64e+07    0.00182588
   115            2146.3         0.617           829    0.00365176
   116           2141.64         0.778           644      0.014607
   117           2008.59             1         -2.72      0.116856
   118           1981.86         0.236            45     0.0389521
   119           1961.75         0.159         -59.5     0.0389521
   120           1858.37             1         -67.7     0.0389521
   121           1769.67         0.758      2.83e+03      0.012984
   122           1706.24         0.127          8.18      0.012984
   123           1954.78         0.637      2.08e+06      0.012984
   124           1311.48             1          33.2     0.0259681
   125           1722.33        0.0315       1.5e+07    0.00865603
   126           1722.52        0.0521      9.07e+06     0.0173121
   127           1721.71          0.17      2.77e+06     0.0692482
   128           1274.73             1         -21.8      0.553986
   129           1684.75         0.142      6.52e+05      0.264863
   130            1688.4         0.264       3.5e+05      0.529726
   131           1718.17         0.989      9.44e+04        2.1189
   132           1268.58             1        -0.839       16.9512
   133           1261.13             1         -5.86       5.65041
   134           1697.97         0.527      8.75e+04       1.88347
   135           1301.93             1      3.35e+03       3.76694
   136           1255.88             1         -3.34       15.0678
   137           1213.82             1          92.3       5.02259
   138           1207.25        0.0436         -71.4        1.6742
   139           1203.89        0.0237         -68.8        1.6742
   140            1523.7         0.398      5.73e+03        1.6742
   141           1497.12         0.622      3.57e+03       3.34839
   142           1154.59             1            -8       13.3936
   143           1390.52             1         1e+03       4.46452
   144           1149.31             1          10.1       8.92904
   145           1142.09             1         0.293       8.93622
   146            1139.1             1       -0.0136       8.30916
   147           1137.98             1         0.223        7.8632
   148           1137.12             1         -0.18       7.84996
   149           1136.89             1       -0.0533       4.85998
   150           1128.62             1        -0.474       4.24007
   151           1127.58             1       -0.0182       1.41336
   152              1127             1        -0.143       1.40978
   153           1126.48             1        -0.198       1.14144
   154           1126.14             1        -0.124      0.576061
   155           1125.96             1       -0.0667      0.443182
   156           1125.83             1       -0.0453      0.337736
   157           1125.83        0.0365       -0.0585      0.229596
   158           1125.75             1         -0.02      0.229596
   159           1126.54             1          1.79      0.192239
   160           1121.32         0.596       -0.0971      0.384479
   161           1136.21             1          37.7      0.384479
   162           1120.48             1         0.995      0.768957
   163           1119.98             1          0.12      0.768957
   164           1119.74             1        0.0137      0.755015
   165           1119.66             1        0.0253      0.713699
   166           1119.59             1      -0.00143      0.712189
   167           1119.39             1       -0.0822      0.667244
   168           1119.34         0.108        -0.224      0.292407
   169           1119.09             1         0.125      0.292407
   170            1118.4             1        -0.266      0.292164
   171           1118.06         0.153         -1.07     0.0973881
   172           1116.87             1         0.532     0.0973881
   173           1116.69         0.088        -0.982     0.0936213
   174           1115.93             1        -0.107     0.0936213
   175           1141.58         0.348      7.67e+03     0.0312071
   176           1141.56         0.359      7.45e+03     0.0624142
   177           1141.56         0.421      6.35e+03      0.249657
   178           1141.56         0.979      2.72e+03       1.99726
   179           1115.66             1        -0.214        15.978
   180            1140.3         0.415      4.95e+03       5.32601
   181           1140.29         0.677      3.04e+03        10.652
   182           1113.23             1         -2.89       42.6081
   183           1135.48         0.173      5.39e+03       14.2027
   184           1135.47          0.21      4.44e+03       28.4054
   185           1135.29          0.36      2.58e+03       113.622
   186           1101.42             1           134       908.973
   187           1086.73             1        -0.366       302.991
   188           1086.55             1       -0.0551       100.997
   189           1086.42             1        -0.052       33.6657
   190           1086.29             1       -0.0481       11.2219
   191           1086.19             1       -0.0396       3.74063
   192           1086.13             1       -0.0203       1.24688
   193           1086.09             1       -0.0114      0.415626
   194           1086.09        0.0477       -0.0109      0.138542
   195           1086.08             1      -0.00221      0.138542
   196           1086.11             1        0.0608     0.0461806
   197           1086.07             1      0.000299     0.0923612
   198           1086.07             1       -0.0016     0.0883964
   199           1086.06             1      0.000638     0.0513803
   200           1086.06             1      -0.00115     0.0513425
   201           1086.06         0.672     -0.000787     0.0278299
   202           1086.06             1     -0.000138     0.0278299
   203           1086.06             1     -0.000372    0.00927663
   204           1086.05             1      -0.00118    0.00309221
   205           1086.04             1      -0.00568    0.00103074
   206           1086.04        0.0607       -0.0208   0.000343579
   207           2020.92         0.441      1.29e+06   0.000343579
   208           2020.76         0.735      7.72e+05   0.000687158
   209           1086.04             1       -0.0037    0.00274863
   210           2017.08         0.691      4.97e+05   0.000916211
   211            1086.2             1          1.53    0.00183242
   212           1086.03             1      -0.00197    0.00732969
   213            1086.1             1         0.474    0.00244323
   214           1086.03             1      -0.00122    0.00488646
   215            1092.3             1          97.9    0.00162882
   216           1086.08             1         0.254    0.00325764
   217           1086.02             1      -0.00242     0.0130306
   218           1086.03             1        0.0656    0.00434352
   219           1086.02             1       0.00118    0.00868704
   220           1086.01             1       0.00228    0.00534099
   221              1086             1      -0.00454    0.00455467
   222           1085.99          0.29        -0.014    0.00151822
   223           1085.94             1       -0.0334    0.00151822
   224           1085.46          0.33         -3.37   0.000506075
   225           9342.25        0.0153      1.17e+08   0.000506075
   226           9341.51        0.0185      9.68e+07    0.00101215
   227           9337.38        0.0385      4.65e+07     0.0040486
   228           1085.46      2.26e-05          -1.7     0.0323888
   229           9316.52         0.214      8.36e+06     0.0323888
   230           9301.05         0.408      4.39e+06     0.0647776
   231           1084.43             1        -0.862       0.25911
   232           8947.76         0.291      2.14e+06     0.0863701
   233           8916.77         0.499      1.25e+06       0.17274
   234           1082.86             1       -0.0818      0.690961
   235           1082.73         0.291          12.8       0.23032
   236           1115.84         0.771           171       0.23032
   237           1112.15             1           126      0.460641
   238           1078.78             1        -0.741       1.84256
   239           1077.91             1         0.273      0.614188
   240           1077.83        0.0593        -0.668      0.576498
   241           1077.44             1       -0.0339      0.576498
   242           1077.33             1       -0.0121      0.192166
   243           1077.27             1       -0.0108      0.190714
   244           1077.25             1      -0.00704      0.178897
   245           1077.23             1      -0.00556      0.162339
   246           1077.22             1      -0.00454      0.139351
   247           1077.21             1      -0.00385      0.113995
   248            1077.2             1      -0.00319     0.0903495
   249           1077.19             1      -0.00207     0.0700888
   250           1077.19             1      -0.00184      0.044981
   251           1077.19             1       -0.0017     0.0280469
   252           1077.18             1      -0.00163     0.0171494
   253           1077.18             1      -0.00167     0.0101907
   254           1077.17             1      -0.00206    0.00562216
   255           1077.16             1      -0.00438    0.00253729
   256           1077.11             1        -0.058   0.000845765
   257           5661.59         0.043      1.08e+09   0.000281922
   258           5661.59        0.0985      4.71e+08   0.000563843
   259           5661.58         0.324      1.43e+08    0.00225537
   260           1077.06             1       -0.0443      0.018043
   261           5661.31         0.205      1.39e+08    0.00601433
   262           5661.31           0.4       7.1e+07     0.0120287
   263           1076.82             1        -0.312     0.0481146
   264            5660.4         0.176      6.05e+07     0.0160382
   265           5660.34         0.348      3.06e+07     0.0320764
   266           1075.85             1         -1.76      0.128306
   267           5656.68         0.142      2.05e+07     0.0427686
   268           5656.48         0.269      1.08e+07     0.0855371
   269           1060.75             1           151      0.342148
   270           5592.05         0.468      1.86e+05      0.114049
   271           5586.17         0.491      1.76e+05      0.228099
   272           5560.74          0.62      1.35e+05      0.912396
   273           1028.62             1          12.4       7.29917
   274           1036.87             1           137       2.43306
   275           1002.53             1          19.4       4.86611
   276           981.023             1         -2.25       4.67643
   277           976.183             1         -1.06       1.66751
   278           974.258             1        -0.346      0.933112
   279           973.999             1       -0.0354      0.311037
   280           973.985             1     -0.000523      0.103679
   281           973.984             1      0.000178     0.0345597
   282           973.984             1      4.18e-05     0.0292643

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            257596
     1            257580      3.13e-05     -2.51e+05       1.06558
     2            257574      1.11e-05     -2.51e+05       1.06558
     3            257567      1.55e-05     -2.51e+05       1.06558
     4            257561      1.04e-05     -2.51e+05       1.06558
     5            257556      1.05e-05     -2.51e+05       1.06558
     6            257197      0.000714     -2.52e+05       1.06558
     7            255486       0.00338     -2.55e+05       1.06558
     8            188181         0.108     -3.78e+05       1.06558
     9            188134      0.000128     -1.83e+05       1.06558
    10           87099.3         0.173     -4.17e+05       1.06558
    11           38081.8         0.157      -3.7e+05       1.06558
    12           38075.8      8.34e-05     -3.61e+04       1.06558
    13           30144.1         0.099     -4.41e+04       1.06558
    14           28792.9        0.0236     -2.91e+04       1.06558
    15           20218.9          0.15      -2.9e+04       1.06558
    16           5276.13         0.369     -1.99e+04       1.06558
    17           2454.78         0.426     -3.03e+03       1.06558
    18           1608.81         0.631           496       1.06558
    19            1609.6          0.83           934       1.06558
    20           1488.65         0.464         -73.8       2.13116
    21           1430.71             1          8.97       2.13116
    22           1424.63             1         0.891      0.710386
    23           1422.82             1        -0.239      0.542502
    24           1404.35             1         -1.61      0.180834
    25           1391.55             1        -0.871      0.178884
    26           1391.04        0.0651         -3.83     0.0679759
    27           1386.05             1         -1.37     0.0679759
    28           1381.97         0.227         -5.88     0.0226586
    29           1381.88        0.0292         -1.52     0.0226586
    30           1380.96             1       -0.0457     0.0226586
    31           1414.47             1           149    0.00755287
    32           1399.85             1          33.3     0.0151057
    33           1397.21             1          28.8      0.060423
    34           1389.12             1          15.5      0.483384
    35           1380.64             1         0.569       3.86707
    36           1379.92             1        -0.169       3.97575
    37           1379.72             1        0.0149       1.32525
    38           1379.56             1       -0.0452       1.27681
    39           1379.49             1       -0.0095      0.425603
    40           1379.45             1        -0.016      0.335773
    41           1379.39             1       -0.0323      0.111924
    42           1693.89         0.635      3.12e+04     0.0373082
    43           1379.54             1          2.24     0.0746163
    44           1379.34             1       -0.0234      0.298465
    45           1379.43             1           1.6     0.0994884
    46           1379.25             1       -0.0596      0.198977
    47           1706.81         0.583      1.83e+04     0.0663256
    48           1383.99             1          37.4      0.132651
    49           1379.17             1       -0.0424      0.530605
    50              1382             1          17.9      0.176868
    51           1379.02             1        -0.062      0.353737
    52           1728.31         0.574      9.86e+03      0.117912
    53           1402.38             1           160      0.235824
    54           1378.87             1       -0.0712      0.943298
    55           1387.65             1          42.7      0.314433
    56            1378.7             1        0.0869      0.628865
    57           1381.27             1          9.16      0.515542
    58           1378.45             1         -0.03       1.03108
    59            1379.6             1          3.85      0.725286
    60           1378.23             1       -0.0399       1.45057
    61           1378.49             1          1.15       1.02202
    62           1378.05             1       -0.0555       2.04404
    63           1378.56             1          1.66       1.05737
    64           1377.92             1       -0.0245       2.11473
    65           1377.85             1         0.156       1.65774
    66           1377.69             1        0.0809       1.72763
    67           1377.55             1        0.0885       1.72705
    68           1377.41             1         0.057       1.72705
    69           1377.28             1        0.0308       1.72567
    70           1377.17             1        0.0133        1.7156
    71           1377.08             1        0.0036       1.68808
    72              1377             1      -0.00172       1.64007
    73           1376.93             1      -0.00449       1.57095
    74           1376.86             1      -0.00599       1.48455
    75           1376.81             1      -0.00677       1.38574
    76           1376.75             1      -0.00725       1.28041
    77            1376.7             1      -0.00758       1.17274
    78           1376.65             1      -0.00791       1.06597
    79            1376.6             1       -0.0083      0.961484
    80           1376.55             1      -0.00885      0.860008
    81            1376.5             1      -0.00961      0.761273
    82           1376.45             1       -0.0107      0.665137
    83           1376.39             1       -0.0119      0.571472
    84           1376.33           0.8       -0.0229      0.481644
    85           1376.26             1       -0.0274      0.481644
    86           1376.15             1      -0.00873      0.160548
    87           1376.08             1       -0.0142      0.106006
    88           1376.05             1      -0.00869     0.0908668
    89           1376.04             1      -0.00566     0.0762425
    90           1376.03             1      -0.00402     0.0647804
    91           1376.02             1      -0.00279     0.0492763
    92           1376.01             1      -0.00301     0.0276198
    93           1376.01             1      -0.00317      0.015827
    94              1376             1      -0.00324    0.00913264
    95           1375.99             1      -0.00313    0.00540597
    96           1375.99             1      -0.00272    0.00337874
    97           1375.98             1      -0.00202    0.00220523
    98           1375.98             1     -0.000151    0.00172309
    99           1375.98             1       0.00507    0.00170864
   100           1375.98             1       0.00545    0.00341728
   101           1375.98             1       0.00509     0.0136691
   102           1375.98             1        0.0017      0.109353
   103           1375.98             1      0.000825      0.153797
   104           1375.98             1      0.000299      0.169584

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            115806
     1            115802      1.54e-05     -1.14e+05       0.46022
     2            109634        0.0259     -1.24e+05       0.46022
     3           97316.9        0.0541      -1.2e+05       0.46022
     4           95492.2        0.0095     -9.65e+04       0.46022
     5           61689.2         0.159     -1.16e+05       0.46022
     6           57040.8        0.0449      5.02e+06       0.46022
     7           27280.3         0.249     -5.25e+04       0.46022
     8           15298.8         0.242     -2.33e+04       0.46022
     9           8159.38         0.328     -8.56e+03       0.46022
    10           5495.12         0.256     -4.07e+03       0.46022
    11           2061.26         0.517      3.33e+03       0.46022
    12           1659.44             1           140       0.46022
    13           1653.39        0.0205          -142      0.320901
    14           1562.61             1          18.4      0.320901
    15           1524.66         0.939         -5.83      0.314841
    16           1521.28             1        -0.705      0.314841
    17           1517.33             1        -0.798      0.182209
    18           1513.87             1          -1.6     0.0949395
    19           1493.84         0.523         -18.9     0.0316465
    20           1491.52       0.00632          -183     0.0316465
    21           1483.84        0.0198          -194     0.0316465
    22           1439.79        0.0993          -215     0.0316465
    23           1215.59         0.507          -156     0.0316465
    24           1119.53             1        -0.467     0.0316465
    25           1119.19             1       -0.0428     0.0105488
    26           1119.18             1       -0.0011     0.0105439
    27           1119.17             1      -0.00186    0.00351463
    28           1119.17             1      -0.00203    0.00171778
    29            1115.4         0.133         -12.3    0.00115125
    30           1114.85        0.0216         -12.3    0.00115125
    31           1106.23         0.641          -2.5    0.00115125
    32           1102.85             1        -0.524    0.00115125
    33           1102.35             1       -0.0723   0.000649601
    34           1102.32             1      -0.00387   0.000216534
    35           1102.32             1      -0.00146   7.21779e-05
    36           1102.31             1     -0.000584   6.24657e-05
    37           1102.31             1      -0.00051   3.64155e-05
    38           1102.31             1     -0.000405   2.39569e-05
    39           1102.31       0.00146         -1.76   1.52116e-05
    40           1101.54             1          2.58   1.52116e-05
    41           1100.24             1        -0.169   1.52434e-05
    42           1100.23        0.0156        -0.104   5.08113e-06
    43           1100.12             1       -0.0201   5.08113e-06
    44            1100.1             1      -0.00518   1.69371e-06
    45           1100.09             1      -0.00119    5.6457e-07
    46           1098.91        0.0456         -10.5    1.8819e-07
    47           1096.76         0.303         -1.45    1.8819e-07
    48           1097.61             1           3.1    1.8819e-07
    49           1097.63             1          3.11    3.7638e-07
    50           1097.69             1          3.13   1.50552e-06
    51           1097.74             1          3.16   1.20442e-05
    52           1097.75             1          3.17   9.63533e-05
    53           1097.73             1          3.15   0.000770827
    54           1097.58             1          2.97    0.00616661
    55           1096.68             1          1.88     0.0493329
    56           1094.29             1        -0.434     0.0936279
    57              1094             1        -0.051     0.0870449
    58           1093.94             1       -0.0168     0.0813386
    59           1093.91             1      -0.00977     0.0719956
    60           1093.89             1      -0.00673     0.0638724
    61           1093.88             1      -0.00518     0.0527454
    62           1093.87             1      -0.00422     0.0419526
    63           1093.86             1      -0.00358     0.0326518
    64           1093.85             1      -0.00281     0.0249629
    65           1093.85             1      -0.00271      0.016059
    66           1093.84             1      -0.00389     0.0078827
    67           1093.81             1        -0.013     0.0034593
    68           1093.27             1        -0.263     0.0011531
    69            1092.9        0.0115         -15.7   0.000384367
    70           1092.45        0.0142         -15.7   0.000384367
    71           1128.06        0.0996      6.39e+03   0.000384367
    72           1128.06         0.101      6.32e+03   0.000768733
    73           1128.05         0.108      5.91e+03    0.00307493
    74           1127.93         0.174      3.66e+03     0.0245995
    75           1126.85         0.787           800      0.196796
    76           1091.87             1        -0.282       1.57437
    77           1126.27          0.95           659      0.524789
    78           1090.48             1        -0.556       1.04958
    79           1095.66          0.75          72.8      0.349859
    80           1087.28             1        -0.574      0.699718
    81           1085.96         0.727        -0.751      0.381236
    82           1085.88         0.348       -0.0951      0.381236
    83           1085.79             1       -0.0196      0.381236
    84           1085.78             1      -0.00289      0.127079
    85           1085.77             1     -0.000448     0.0423596
    86           1085.77             1     -9.02e-05     0.0141199
    87           1085.77             1     -6.21e-05    0.00470662
    88           1085.77             1     -9.89e-05    0.00278079
    89           1085.77             1     -0.000206   0.000926932
    90           1085.77             1     -0.000238   0.000364376
    91           1085.76         0.151       -0.0447   0.000254879
    92           1085.72             1      -0.00376   0.000254879
    93           1085.71             1     -0.000356   8.49595e-05
    94           1085.71             1      -0.00016   3.06964e-05
    95           1085.71             1      -5.5e-05   2.87183e-05
    96           1085.71         0.249     -6.47e-05   2.18389e-05
    97           1085.71             1     -0.000106   2.18389e-05
    98           1085.71             1     -9.61e-05   7.27963e-06

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           73553.6
     1           73551.8      1.24e-05     -7.12e+04      0.221602
     2             73549      1.97e-05     -7.12e+04      0.221602
     3           73540.8      5.81e-05     -7.12e+04      0.221602
     4           73537.4      2.36e-05     -7.12e+04      0.221602
     5           42413.4         0.172     -1.07e+05      0.221602
     6           41267.8        0.0136     -4.38e+04      0.221602
     7           37101.4        0.0454     -5.31e+04      0.221602
     8           31577.2        0.0667     -4.84e+04      0.221602
     9           27194.6        0.0387     -1.05e+05      0.221602
    10             26956       0.00454     -2.75e+04      0.221602
    11           26613.1       0.00661     -2.72e+04      0.221602
    12           16502.4         0.132      -5.9e+04      0.221602
    13           9069.56         0.167     -2.97e+04      0.221602
    14           8069.91        0.0532     -1.18e+04      0.221602
    15           5079.49         0.136     -1.92e+04      0.221602
    16           5442.27         0.306      3.76e+05      0.221602
    17           6271.93         0.321      4.44e+05      0.443204
    18           7215.18         0.407      3.89e+05       1.77282
    19           1979.34         0.886      3.68e+03       14.1825
    20           1715.66         0.271      1.65e+03       14.1825
    21           1527.38             1           159       14.1825
    22           1465.93             1         -8.19       10.8752
    23           1681.24         0.843      1.49e+03       3.62505
    24           1437.34             1          46.8        7.2501
    25           1418.81             1       -0.0283       6.77083
    26           1414.53             1          10.7        2.3978
    27           1395.57             1         -4.85       2.41547
    28           1390.67         0.526         -3.45      0.805157
    29           1389.72             1          1.25      0.805157
    30           1388.49         0.739        -0.429      0.808085
    31           1388.27             1       -0.0579      0.808085
    32            1388.2             1        0.0873       0.29138
    33           1388.07             1        -0.022      0.298345
    34           1388.03             1       0.00382      0.226179
    35           1388.01             1        0.0107      0.225791
    36           1387.98         0.647       0.00697      0.225797
    37           1387.97             1      0.000106      0.225797
    38           1387.96             1       0.00303      0.223167
    39           1387.95             1       0.00811      0.223155
    40            1384.9             1        -0.427      0.229249
    41           1384.65             1        0.0156     0.0764165
    42           1382.18         0.727        -0.814     0.0569562
    43           1380.58             1       -0.0124     0.0569562
    44            1380.6             1         0.201     0.0189854
    45           1380.58             1         0.165     0.0379708
    46           1380.62             1         0.315     0.0755285
    47           1380.54             1         0.177      0.151057
    48            1380.5             1        0.0887      0.196475
    49           1380.51             1        0.0951      0.238489
    50            1380.5             1        0.0742      0.476978
    51           1380.49             1        0.0677      0.780087
    52           1380.47             1        0.0399       1.25371
    53           1380.46             1        0.0193       1.44866
    54           1377.74             1         -1.25       1.59238
    55           1377.48             1       -0.0912       1.59238
    56           1377.22             1        -0.122      0.530794
    57           1377.17         0.219        -0.101      0.176931
    58           1377.17             1      -0.00111      0.176931
    59           1377.17         0.149      -0.00417     0.0589771
    60           1377.16             1      -0.00464     0.0589771
    61            1377.1             1       -0.0549      0.019659
    62           1379.55         0.291           449    0.00655301
    63           1379.51         0.568           228      0.013106
    64           1377.03             1       -0.0646     0.0524241
    65           1379.05         0.445           150     0.0174747
    66           1379.01         0.863          77.7     0.0349494
    67           1376.96             1       -0.0445      0.139798
    68           1378.64          0.86          50.4     0.0465992
    69           1376.69             1        -0.261     0.0931984
    70           1377.55         0.349          39.5     0.0310661
    71           1377.45         0.616          21.8     0.0621323
    72           1376.39             1        -0.218      0.248529
    73           1376.37         0.612          8.07      0.082843
    74              1375             1         0.653      0.082843
    75           1374.37             1       -0.0168     0.0762945
    76           1821.78         0.817      3.51e+04     0.0254315
    77           1374.17             1         0.087      0.050863
    78            1810.6         0.384      2.95e+04     0.0169543
    79           1809.85         0.564      2.06e+04     0.0339087
    80           1374.69             1          2.66      0.135635
    81           1373.91             1       -0.0551       1.08508
    82           1373.73             1         0.144      0.361692
    83           1373.33             1        0.0189      0.357554
    84           1372.96             1       -0.0353      0.333237
    85           1372.66             1       -0.0809      0.303961
    86           1372.47             1       -0.0645       0.20369
    87           1372.34             1       -0.0486     0.0907847
    88           1372.27         0.477       -0.0549     0.0396034
    89           1372.24             1         0.122     0.0396034
    90           1663.85         0.705      9.15e+03     0.0449745
    91           1373.36             1          5.84     0.0899489
    92           1372.09             1       -0.0257      0.359796
    93           1372.67             1          2.56      0.119932
    94           1372.03             1      -0.00949      0.239864
    95           1667.54          0.86      4.55e+03     0.0799546
    96            1372.9             1           3.2      0.159909
    97           1371.98             1       -0.0203      0.639637
    98           1372.27             1          1.11      0.213212
    99           1371.93             1       -0.0054      0.426424
   100           1372.31             1          1.24      0.252904
   101           1371.88             1      -0.00625      0.505809
   102           1371.92             1         0.243      0.389661
   103           1371.82             1       -0.0182      0.779322
   104           1372.59             1          2.15      0.294928
   105            1371.8             1        0.0333      0.589856
   106           1371.77             1        0.0576      0.590056
   107           1371.73             1        0.0766      0.606474
   108           1371.68             1         0.055      0.650241
   109           1371.65             1        0.0608      0.653219
   110            1371.6             1        0.0345      0.677057
   111           1371.57             1         0.028       0.67721
   112           1371.54             1        0.0173       0.67791
   113           1371.51             1        0.0104       0.67791
   114           1371.49             1       0.00583      0.677647
   115           1371.47             1       0.00306      0.675761
   116           1371.46             1       0.00144      0.670416
   117           1371.45             1      0.000522      0.660037
   118           1371.44             1       1.3e-05      0.643851
   119           1371.43             1     -0.000265      0.622209
   120           1371.42             1     -0.000412      0.596253
   121           1371.41             1     -0.000486      0.567523
   122           1371.41             1     -0.000519      0.537435
   123            1371.4             1     -0.000529      0.507133
   124            1371.4             1     -0.000525      0.477392
   125           1371.39             1     -0.000514      0.448711
   126           1371.38             1     -0.000497       0.42136
   127           1371.38             1     -0.000478      0.395473
   128           1371.37             1     -0.000458      0.371081
   129           1371.37             1     -0.000437      0.348166
   130           1371.37             1     -0.000417      0.326673
   131           1371.36             1     -0.000397      0.306528
   132           1371.36             1     -0.000377      0.287653
   133           1371.35             1     -0.000359      0.269965
   134           1371.35             1     -0.000341      0.253383
   135           1371.35             1     -0.000324      0.237829
   136           1371.34             1     -0.000308       0.22323
   137           1371.34             1     -0.000293      0.209517
   138           1371.34             1     -0.000279      0.196628
   139           1371.34             1     -0.000265      0.184504
   140           1371.33             1     -0.000253      0.173091
   141           1371.33             1     -0.000241      0.162341
   142           1371.33             1     -0.000231       0.15221
   143           1371.33             1     -0.000221      0.142656
   144           1371.32             1     -0.000211      0.133642
   145           1371.32        0.0278      -0.00165      0.125135
   146           1371.32             1     -0.000589      0.125135
   147           1371.32             1      -0.00131     0.0417116
   148           1371.32             1      -0.00139     0.0265069
   149           1371.31             1      -0.00124     0.0193502
   150           1371.31             1     -0.000944     0.0149915
   151           1371.31             1      -0.00037     0.0124015
   152           1371.31             1       0.00122     0.0120053
   153           1371.31             1       0.00535      0.014576
   154           1371.31             1       0.00452     0.0291521
   155           1371.31             1       0.00166      0.116608
   156           1371.31             1      0.000744      0.150007
   157           1371.31             1       0.00025      0.161931
   158           1371.31             1      6.18e-05       0.16593
   159           1371.31             1     -1.34e-06      0.166073
   160           1371.31             1     -2.21e-05      0.163718

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            684247
     1            684008      0.000178     -6.74e+05       2.66402
     2            673439       0.00798      -6.5e+05       2.66402
     3            664202       0.00707     -6.43e+05       2.66402
     4            651392          0.01     -6.25e+05       2.66402
     5            629937        0.0174     -5.91e+05       2.66402
     6            543800        0.0881     -3.28e+05       2.66402
     7            523991        0.0193     -4.91e+05       2.66402
     8            502110        0.0222     -4.68e+05       2.66402
     9            466511         0.039     -4.18e+05       2.66402
    10            400038        0.0845     -3.22e+05       2.66402
    11            395493        0.0058     -3.92e+05       2.66402
    12            392740       0.00355     -3.88e+05       2.66402
    13            390011       0.00354     -3.85e+05       2.66402
    14            381611         0.011     -3.81e+05       2.66402
    15            316803         0.087     -3.76e+05       2.66402
    16            297807        0.0309     -3.05e+05       2.66402
    17            246667        0.0735     -4.16e+05       2.66402
    18           32850.6         0.284     -4.86e+05       2.66402
    19           13238.5         0.284     -3.74e+04       2.66402
    20           10595.1         0.637      1.63e+05       2.66402
    21           6532.94         0.407     -3.99e+03       2.66402
    22           6215.61        0.0617     -2.73e+03       2.66402
    23           4068.78         0.145     -3.49e+04       2.66402
    24           4582.06         0.417       3.7e+04       2.66402
    25           4460.89         0.567      2.72e+04       5.32805
    26           3535.95             1          -295       21.3122
    27           3954.43         0.324      1.62e+04       7.10407
    28           3894.22         0.417      1.26e+04       14.2081
    29           3939.38         0.986      6.15e+03       56.8325
    30           3041.88             1         -31.5        454.66
    31           2597.98             1          -180       151.553
    32           2249.67         0.554        -0.311       50.5178
    33           2016.84             1         -38.7       50.5178
    34           2124.58         0.809      2.68e+03       16.8393
    35           1832.17             1         -37.1       33.6785
    36            1750.4         0.401         -83.3       11.2262
    37           1660.44             1         -12.3       11.2262
    38           1586.89             1         -18.4       6.97451
    39           1553.57         0.717         -15.1       2.32484
    40           1501.69         0.674         -10.3       2.32484
    41           1473.68             1          5.82       2.32484
    42           1469.99             1          1.85       1.27915
    43           1471.01             1             3      0.776893
    44           1469.31             1        -0.123       1.55379
    45           1469.16             1         0.277       1.09963
    46           1468.69             1       -0.0737       1.16627
    47           1468.36             1       -0.0337       1.00542
    48           1468.07             1       -0.0544      0.921219
    49           1466.87             1        -0.445      0.771971
    50           1466.26             1         0.709      0.591728
    51           1464.74         0.595        -0.973      0.596246
    52           1463.38             1        -0.399      0.596246
    53            1463.3             1          2.38      0.198749
    54           1459.14             1         -1.43      0.337063
    55           1449.21             1         -2.49      0.112354
    56            1461.9             1          30.9     0.0568628
    57           1447.06             1           3.5      0.113726
    58           1465.08         0.476            77      0.115171
    59           1463.17         0.744          50.8      0.230342
    60           1441.23             1         -1.16      0.921368
    61            1446.7         0.616          23.5      0.446131
    62           1444.63             1          12.4      0.892262
    63           1438.62             1        -0.814       3.56905
    64           1439.48         0.859          6.29       1.18968
    65           1435.56             1          0.24       2.37937
    66           1434.86             1         0.163       1.33993
    67           1998.58          0.76       1.7e+04       1.28181
    68            1414.9             1           102       2.56362
    69           1406.66          0.22         -16.9       1.46711
    70           1396.26             1         0.142       1.46711
    71           1396.03         0.194        -0.443      0.489036
    72           1396.03       0.00191        -0.652      0.489036
    73           1395.88         0.152         -0.42      0.489036
    74           1395.66             1         0.355      0.489036
    75           1395.08             1       -0.0741      0.518284
    76           1394.55             1        -0.167      0.494553
    77           1393.95             1        -0.245      0.367142
    78           1392.71             1        -0.576      0.217453
    79           1386.51             1         -3.05     0.0763031
    80           1369.25         0.167         -51.2     0.0254344
    81           1362.51        0.0172          -195     0.0254344
    82           1351.98         0.023          -227     0.0254344
    83           1021.43             1         -68.5     0.0254344
    84           1018.07        0.0811         -8.55    0.00847812
    85           1013.48         0.196          11.5    0.00847812
    86           1009.63             1          12.8    0.00847812
    87           996.441             1         0.335     0.0100341
    88           999.164          0.71          5.66    0.00334471
    89           1001.73             1          6.85    0.00668942
    90           998.694             1          3.23     0.0267577
    91            995.82             1       -0.0943      0.214062
    92            996.29             1         0.767     0.0713539
    93           995.806             1        0.0941      0.142708
    94            995.67             1       -0.0259      0.217974
    95           995.659             1        0.0265     0.0978131
    96           995.611             1       -0.0119      0.118712
    97           995.593             1      -0.00364     0.0741169
    98           995.578             1      -0.00508     0.0723007
    99           995.568             1      -0.00371     0.0562216
   100            995.56             1      -0.00305     0.0462964
   101           995.554             1      -0.00254     0.0361149
   102           995.548             1      -0.00214     0.0279004
   103           995.544             1      -0.00181     0.0212826
   104            995.54             1      -0.00153     0.0160826
   105           995.537             1      -0.00129      0.012034
   106           995.535             1        -0.001    0.00891463
   107           995.533         0.942     -0.000938    0.00529711
   108           995.532             1     -0.000474    0.00529711

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             46871
     1           46690.8       0.00321      -2.8e+04       58931.5
     2           46514.5       0.00316     -2.78e+04       58931.5
     3           15521.5             1     -4.85e+03       58931.5
     4           15489.4       0.00505     -3.17e+03       19643.8
     5           13038.9         0.457     -2.26e+03       19643.8
     6           11556.9             1          -595       19643.8
     7           11598.6        0.0224         5e+04       6547.95
     8           11611.7        0.0261      4.33e+04       13095.9
     9           11628.3         0.043      2.66e+04       52383.6

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            350477
     1            350470      1.06e-05     -3.46e+05      0.885511
     2            349443       0.00148     -3.49e+05      0.885511
     3            343234       0.00877     -3.64e+05      0.885511
     4            291093        0.0593     -6.08e+05      0.885511
     5            263250        0.0399     -4.27e+05      0.885511
     6            222421        0.0603     -4.59e+05      0.885511
     7            194139        0.0547     -3.11e+05      0.885511
     8            188446        0.0148     -1.95e+05      0.885511
     9            132157         0.127     -2.58e+05      0.885511
    10            102859        0.0962     -1.81e+05      0.885511
    11           88300.6        0.0664     -1.21e+05      0.885511
    12           30845.5         0.279     -1.17e+05      0.885511
    13           2732.64         0.523      2.31e+04      0.885511
    14            3315.9         0.854      1.03e+04      0.885511
    15            3885.2         0.986      1.17e+04       1.77102
    16           1549.12         0.916           144       7.08409
    17           1445.41             1          7.95       7.08409
    18           1434.98         0.445         -8.49       3.86637
    19            1429.6             1        -0.392       3.86637
    20           1442.17             1          39.9       1.28879
    21           1428.79             1          1.29       2.57758
    22            1428.1             1          1.74       2.57769
    23           1427.65             1          2.09       2.70807
    24           1427.65       3.4e-05         -2.23       3.32974
    25           1426.33         0.535        -0.506       3.32974
    26           1426.42             1          1.57       3.32974
    27           1425.35             1         -0.18       6.65948
    28            1541.3         0.706           371       3.68125
    29           1462.38             1            89        7.3625
    30           1422.21             1         -1.08         29.45
    31           1419.02         0.537        -0.993       9.81667
    32           1419.04             1          6.88       9.81667
    33           1415.83             1         -1.22       19.6333
    34           1423.35             1          21.4       6.54762
    35            1413.6             1        -0.267       13.0952
    36           1410.59             1         -1.21       11.5203
    37           1406.13             1         0.554        3.8401
    38           1401.14             1          1.15       3.67465
    39           1396.55             1         -1.18        3.5872
    40           1393.76             1        -0.936       3.23391
    41           1391.61             1        -0.862       2.61603
    42           1389.22             1         -1.01       1.73519
    43           1387.71         0.426          -1.6       0.98923
    44           1385.79             1        -0.498       0.98923
    45           1384.39             1        -0.321      0.812557
    46           1384.39       0.00169         -1.01      0.724981
    47           1383.75         0.402        -0.648      0.724981
    48           1383.31             1         0.173      0.724981
    49           1382.78             1       -0.0544      0.724981
    50           1382.53             1        0.0604      0.674188
    51           1382.28             1      -0.00107      0.673351
    52           1382.13             1        0.0124      0.651501
    53              1382             1      -0.00243      0.642851
    54           1381.91             1      -0.00105      0.619974
    55           1381.83             1      -0.00447      0.600713
    56           1381.77             1      -0.00301      0.572631
    57           1381.72             1      -0.00398      0.547679
    58           1381.68         0.853      -0.00948      0.517248
    59           1381.64             1       -0.0131      0.517248
    60           1378.57             1         -1.11      0.172416
    61           1376.28             1        -0.348     0.0579103
    62           1376.04             1        -0.018     0.0193034
    63           1376.04             1        0.0488     0.0128311
    64           1376.09             1          0.16     0.0237724
    65           1376.06             1         0.119     0.0475447
    66           1376.01             1        0.0289      0.190179
    67              1376             1       0.00679      0.193734
    68              1376             1       0.00149      0.196608
    69              1376             1      0.000144      0.197278
    70              1376             1     -0.000183      0.196896
    71              1376             1     -0.000299      0.165059
    72              1376             1     -0.000739      0.068115
    73           1375.99             1      -0.00193      0.022705
    74           1375.98             1      -0.00397    0.00756833
    75           1375.98         0.683      -0.00372    0.00459414
    76           1375.97             1      -0.00162    0.00459414
    77           1375.97             1      0.000877    0.00381395
    78           1375.97             1       0.00855    0.00381497
    79           1375.97             1        0.0086    0.00762995
    80           1375.97             1        0.0066     0.0305198
    81           1375.97             1      0.000714      0.244158
    82           1375.97             1      6.87e-05      0.244321

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            148631
     1            148626      1.51e-05     -1.44e+05       1.09172
     2            148623       1.3e-05     -1.44e+05       1.09172
     3            133156        0.0456     -2.02e+05       1.09172
     4            127246        0.0219     -1.41e+05       1.09172
     5            109599        0.0612     -1.71e+05       1.09172
     6            100793        0.0362     -1.47e+05       1.09172
     7           89392.3        0.0519     -1.26e+05       1.09172
     8           83262.1        0.0323     -1.06e+05       1.09172
     9           76889.9        0.0383     -8.74e+04       1.09172
    10           62760.1        0.0865     -9.19e+04       1.09172
    11           14960.6         0.274     -1.06e+05       1.09172
    12           3293.27         0.217      4.41e+04       1.09172
    13           1985.63         0.335      1.92e+03       1.09172
    14           1871.69         0.108      1.92e+04       1.09172
    15           1695.09         0.305          -288       1.09172
    16           5007.19         0.905       6.1e+04       1.09172
    17            2070.1         0.777       3.4e+03       2.18344
    18           1611.27             1           446       8.73377
    19           1459.82             1           194       9.60551
    20           1408.94             1          6.73       8.61768
    21           1402.94             1        -0.881       3.69845
    22           1396.62             1        -0.399       1.41665
    23           1394.55         0.111         -9.78      0.472215
    24           1392.93             1         0.259      0.472215
    25           1392.42             1         0.675      0.199446
    26           1391.32             1       0.00808       0.19927
    27           1393.99             1          5.45       0.13733
    28           1392.34             1          2.64      0.274659
    29           1391.07             1         0.133       1.09864
    30           1390.17             1        -0.347       1.09889
    31           1390.17      5.96e-05        -0.928      0.483448
    32           1388.81             1        -0.466      0.483448
    33           1388.13           0.7        -0.301       0.26556
    34           1387.89             1       -0.0244       0.26556
    35           1387.87             1      -0.00124      0.166387
    36           1387.86             1      -0.00234      0.152663
    37           1387.85             1      -0.00356      0.136321
    38           1385.89         0.105         -9.48      0.106734
    39           1385.46             1       -0.0413      0.106734
    40           1385.36             1       -0.0403     0.0355779
    41           2165.19         0.392      5.01e+05     0.0118593
    42           2166.06         0.781      2.49e+05     0.0237186
    43           1385.28             1       -0.0405     0.0948743
    44           2161.78         0.689      1.96e+05     0.0316248
    45           1385.09             1         0.455     0.0632496
    46           2148.92         0.156      2.36e+05     0.0210832
    47           2148.98         0.293      1.24e+05     0.0421664
    48           1412.81             1           222      0.168665
    49           1384.73             1       -0.0542       1.34932
    50           1384.38             1        -0.107      0.449775
    51           2125.49         0.578      3.38e+04      0.149925
    52           1441.78             1           396       0.29985
    53           1383.98             1          -0.2        1.1994
    54           1418.12             1           179        0.3998
    55           1383.52             1         0.443      0.799599
    56           1399.12             1          57.9      0.689441
    57           1382.54             1        0.0999       1.37888
    58           1386.42             1          13.9       1.14041
    59           1381.36             1        -0.281       2.28083
    60           1390.22             1            27       1.15129
    61            1380.5             1         0.229       2.30257
    62           1379.54             1         0.401       2.19346
    63           1378.42             1         0.116       2.17512
    64            1377.5             1       -0.0497       2.08374
    65           1376.87             1       -0.0755       1.87454
    66           1376.48             1       -0.0663       1.60864
    67           1376.24             1       -0.0468       1.31378
    68           1376.09             1       -0.0321       1.03453
    69           1376.01             1         -0.02       0.77011
    70           1375.96             1       -0.0126      0.547604
    71           1375.93             1      -0.00746      0.351429
    72           1375.91             1      -0.00665       0.19839
    73           1375.88             1        -0.019     0.0661299
    74           1378.79         0.864          40.7     0.0220433
    75           1375.78             1       -0.0406     0.0440866
    76           1377.76         0.284          44.8     0.0146955
    77           1377.58         0.554          21.4     0.0293911
    78           1375.62             1       -0.0778      0.117564
    79           1376.74          0.47            12     0.0391881
    80           1376.72         0.923           6.1     0.0783762
    81           1375.49             1       -0.0571      0.313505
    82           1376.36         0.988          4.11      0.104502
    83           1375.31             1       -0.0255      0.209003
    84           1376.22         0.515           5.2     0.0696677
    85           1376.73             1          3.83      0.139335
    86           1375.15             1       -0.0125      0.557342
    87           1375.02             1        0.0925      0.466024
    88           1376.37         0.909          3.37      0.466004
    89           1374.93             1         0.256      0.932009
    90           1375.19         0.764          1.16       1.03903
    91           1374.62             1        0.0196       2.07807
    92           1374.49         0.484        -0.011       2.00918
    93           1374.49             1         0.191       2.00918
    94           1374.34             1        -0.024       4.01837
    95           1374.35             1        0.0608       2.40935
    96           1374.31             1      -0.00747        4.8187
    97            1374.3             1       0.00611       3.13332
    98           1374.27             1      -0.00512        3.1333
    99           1374.26             1     -0.000622       2.33819
   100           1374.24             1      -0.00534       2.22769
   101           1374.23             1      -0.00071       1.52279
   102           1374.21             1      -0.00622       1.44746
   103           1374.19             1     -0.000126       0.96032
   104           1374.17             1      -0.00782      0.927105
   105           1374.15             1     -0.000655      0.597216
   106           1374.12             1       -0.0109      0.575844
   107           1374.09             1      -0.00417      0.358761
   108           1374.05             1       -0.0147      0.336823
   109              1374             1       -0.0126      0.209405
   110           1373.96             1       -0.0159      0.180276
   111           1373.93             1       -0.0142      0.132417
   112            1373.9             1       -0.0113      0.109053
   113           1381.36             1          19.6     0.0913636
   114           1375.07             1          3.43      0.182727
   115           1373.54             1         0.233      0.730909
   116            1373.2             1       -0.0829      0.716666
   117            1373.1             1        0.0267       0.34147
   118           1372.94             1        0.0126        0.3393
   119            1372.8             1         0.216      0.256497
   120           1372.86             1         0.963      0.257631
   121           1372.32             1        -0.138      0.515262
   122           1373.78             1          3.71      0.171754
   123           1372.04             1       -0.0098      0.343508
   124           1371.87             1        0.0911      0.294425
   125           1371.76             1          0.12      0.294299
   126           1371.54          0.58        -0.128      0.295975
   127           1371.59             1         0.193      0.295975
   128           1371.46             1       -0.0152       0.59195
   129           1371.69             1         0.499       0.24967
   130           1371.45             1         0.014      0.499339
   131           1371.43             1      -0.00196      0.545241
   132           1371.42             1       0.00343      0.487593
   133           1371.41             1     -0.000332      0.487498
   134            1371.4             1      5.72e-05      0.465676
   135           1371.39             1     -0.000516      0.451643
   136           1371.38             1      -0.00045      0.428255
   137           1371.38             1     -0.000574      0.406898
   138           1371.37             1     -0.000543      0.382997
   139           1371.37             1     -0.000557      0.360437
   140           1371.36             1     -0.000531      0.338054
   141           1371.35             1     -0.000516      0.316984
   142           1371.35             1     -0.000491      0.296921
   143           1371.35             1     -0.000469      0.278098
   144           1371.34             1     -0.000446      0.260409
   145           1371.34             1     -0.000423      0.243832
   146           1371.33             1     -0.000402      0.228302
   147           1371.33             1     -0.000382      0.213743
   148           1371.33             1     -0.000363      0.200097
   149           1371.32             1     -0.000345      0.187292
   150           1371.32             1     -0.000328      0.175274
   151           1371.32             1     -0.000312      0.163984
   152           1371.31             1     -0.000298      0.153373
   153           1371.31             1     -0.000284      0.143394
   154           1371.31             1     -0.000271      0.134006
   155           1371.31         0.588      -0.00102      0.125169
   156           1371.31             1     -0.000718      0.125169
   157            1371.3             1      -0.00161     0.0417229
   158            1371.3             1      -0.00176     0.0254611
   159           1371.29             1      -0.00155     0.0183167
   160           1371.29             1      -0.00116     0.0140468
   161           1371.29             1     -0.000466     0.0114968
   162           1371.29             1        0.0014     0.0110832
   163           1371.29             1       0.00628      0.013524
   164           1371.29             1       0.00538      0.027048
   165           1371.29             1       0.00211      0.108192
   166           1371.29             1      0.000973       0.15007
   167           1371.29             1      0.000328       0.16276
   168           1371.29             1      8.37e-05      0.167485
   169           1371.29             1      3.81e-06      0.167854
   170           1371.29             1     -2.16e-05      0.166627

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           82719.3
     1             82714      3.27e-05     -8.06e+04       1.84947
     2           41906.1         0.145     -1.68e+05       1.84947
     3             26126         0.169     -4.99e+04       1.84947
     4           26019.5       0.00216     -2.46e+04       1.84947
     5           19596.3         0.131     -2.51e+04       1.84947
     6           7145.72         0.342     -1.71e+04       1.84947
     7           3093.51         0.444     -3.36e+03       1.84947
     8           2743.79         0.116     -1.35e+03       1.84947
     9           1638.38         0.777          -308       1.84947
    10           1476.34             1          30.5       1.84947
    11           1421.61         0.825         -13.3       1.56976
    12           1391.11             1         -5.39       1.56976
    13           1390.55        0.0413         -6.56      0.523253
    14           1381.92             1         -2.96      0.523253
    15           1355.72             1         -12.6      0.233622
    16           1287.85         0.212          -152     0.0778739
    17           1200.79         0.189          -208     0.0778739
    18           1033.28          0.61         -79.8     0.0778739
    19           1003.27             1          5.34     0.0778739
    20           992.846             1        -0.884     0.0712194
    21           994.014             1          1.61     0.0237398
    22           992.818             1         0.131     0.0474796
    23            992.55          0.01         -13.3     0.0677977
    24           997.005          0.28          65.6     0.0677977
    25           997.157         0.386          47.9      0.135595
    26           996.121             1          14.4      0.542382
    27           991.281             1        -0.399       4.33905
    28           989.953             1         -0.59       2.12681
    29           988.235             1        -0.794       1.04336
    30           986.194         0.623         0.673      0.347785
    31           985.784             1          4.38      0.347785
    32           982.847         0.936        -0.351      0.535662
    33           982.599             1        -0.077      0.535662
    34           1732.19         0.331      1.04e+05      0.476929
    35           1733.15         0.409      8.44e+04      0.953859
    36           1738.01         0.861      4.07e+04       3.81543
    37           981.742             1        -0.507       30.5235
    38            981.73       0.00369         -1.58       10.1745
    39           976.726             1          16.2       10.1745
    40           974.695             1       -0.0635        3.3915
    41           974.607             1       -0.0267        1.1305
    42           974.461             1       -0.0424      0.376833
    43           974.374             1      -0.00203      0.326817
    44           974.384             1         0.226      0.286672
    45           974.304             1       -0.0248      0.573344
    46            975.12             1          2.42      0.211221
    47           974.268             1        0.0323      0.422442
    48            974.23             1        0.0433       0.42244
    49           974.181             1        0.0221      0.423497
    50           974.134             1      -0.00399      0.423144
    51           974.108             1       -0.0058      0.369077
    52           974.092             1      -0.00556      0.276737
    53            974.08             1      -0.00468      0.172308
    54           974.071             1      -0.00398      0.102899
    55           974.062             1      -0.00353     0.0632949

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            218739
     1            218734       1.1e-05     -2.14e+05       1.94027
     2            218704      7.02e-05     -2.15e+05       1.94027
     3            124513         0.116     -7.19e+05       1.94027
     4            121681        0.0112     -1.31e+05       1.94027
     5            102211        0.0674     -1.74e+05       1.94027
     6           48785.7         0.147     -3.09e+05       1.94027
     7           24955.6         0.225     -6.53e+04       1.94027
     8           12449.4         0.257     -2.49e+04       1.94027
     9           2899.34         0.532      1.58e+04       1.94027
    10           2381.63         0.449      1.73e+03       1.94027
    11           1850.41          0.29          -871       1.94027
    12           1632.14         0.665       1.4e+03       1.94027
    13           1553.39             1          62.7       1.94027
    14           1527.58         0.794          16.7       1.45438
    15              1523             1          1.47       1.45438
    16           1503.17             1         -4.02       0.83571
    17           1500.85             1          2.44       0.27857
    18           3589.37         0.496      4.44e+04      0.156951
    19           3607.85         0.784       2.7e+04      0.313903
    20           1476.66             1         -2.51       1.25561
    21           1467.62         0.867          6.54      0.418537
    22           1464.64         0.228         -5.86      0.418537
    23           1460.26             1        -0.379      0.418537
    24           1459.85             1       -0.0696      0.139512
    25           1459.76             1        0.0147     0.0465041
    26           1459.76             1         0.115     0.0419565
    27           1459.63         0.229        -0.216     0.0803164
    28           1459.57             1        0.0729     0.0803164
    29           1459.57      0.000591        -0.132     0.0807211
    30           1459.61             1          0.15     0.0807211
    31           1459.57             1        0.0983      0.161442
    32           1459.53             1         0.018      0.645769
    33           1459.52             1       0.00508       0.64587
    34           1459.52             1      0.000954       0.64587
    35           1459.51             1     -0.000134      0.642519
    36           1459.51             1      -0.00316      0.599944
    37           1441.48         0.197         -42.7      0.199981
    38           1413.13         0.304         -44.2      0.199981
    39           1407.21             1          1.88      0.199981
    40           1403.34             1          1.51      0.200091
    41           1401.93             1         0.124      0.173317
    42           1399.65         0.448         -2.56      0.173317
    43           1399.47             1       -0.0477      0.173317
    44           1399.47        0.0042       -0.0629     0.0577723
    45           1399.44             1       0.00459     0.0577723
    46           1404.17             1          7.47     0.0577369
    47           1400.61             1          2.17      0.115474
    48           1399.28             1        0.0364      0.461895
    49           1399.02             1         0.935      0.462307
    50           1398.29             1        -0.139      0.495555
    51           1397.91             1       -0.0913      0.264603
    52           1397.65         0.688         -0.12      0.201865
    53           1397.38             1       -0.0618      0.201865
    54           1397.23             1       -0.0378      0.195037
    55           1397.14             1       -0.0254      0.186413
    56            1397.1             1       -0.0151       0.17124
    57           1397.08             1        0.0159        0.1583
    58           1397.08         0.663        0.0383       0.15981
    59           1397.07         0.871       0.00419       0.31962
    60           1397.05             1       -0.0043       0.31962
    61           1397.04             1      -0.00239       0.19687
    62           1397.03             1       0.00289      0.182693
    63           1397.03             1        0.0164      0.182704
    64           1397.02             1     -3.62e-05      0.365408
    65           1397.02             1      -0.00144      0.358199
    66           1397.02             1      -0.00164      0.238244
    67           1397.01             1      -0.00145      0.171714
    68           1397.01         0.681     -0.000673      0.141956
    69              1397             1     -9.95e-05      0.141956
    70           1397.01             1        0.0125      0.139562
    71              1397             1      0.000891      0.279125
    72              1397             1     -0.000401      0.279466
    73              1397             1     -0.000353      0.251816
    74              1397             1     -0.000284      0.233929
    75           1396.99         0.885     -0.000231      0.219761
    76           1396.99             1     -0.000271      0.219761
    77           1396.99             1      2.26e-05       0.20515
    78           1396.99             1      0.000445      0.203855
    79           1396.99             1       0.00116      0.203907
    80           1396.99             1       0.00157      0.223146
    81           1396.99             1       0.00117      0.255486
    82           1396.99             1      0.000608      0.265238
    83           1396.99             1      0.000397      0.265411
    84           1396.99             1      0.000231       0.26552
    85           1396.98             1      0.000141      0.265519
    86           1396.98             1      5.16e-05      0.265495
    87           1396.98             1      8.02e-07      0.264753
    88           1396.98             1      -2.5e-05      0.262897
    89           1396.98             1     -2.28e-05       0.25923
    90           1396.98             1        -2e-05      0.256086
    91           1396.98             1     -9.32e-06      0.252819
    92           1396.98             1     -2.71e-07      0.250653
    93           1396.98             1      1.49e-05      0.248897
    94           1396.98             1      2.57e-05      0.248086
    95           1396.98         0.998      4.09e-05      0.247577
    96           1396.98             1      3.67e-05      0.247577
    97           1396.98             1       3.4e-05      0.247365
    98           1396.98             1      3.59e-05      0.247188
    99           1396.98         0.968       3.5e-05      0.247036
   100           1396.98             1      1.66e-05      0.247036
   101           1396.98             1      1.66e-05      0.246435
   102           1396.98             1      1.89e-05      0.245967
   103           1396.98         0.964      1.78e-05      0.245559
   104           1396.98             1      3.45e-06      0.245559
   105           1396.98             1      4.56e-06      0.244328
   106           1396.98             1       8.5e-06      0.243335
   107           1396.98         0.955      7.63e-06      0.242564
   108           1396.98             1        -4e-06      0.242564
   109           1396.98             1      -7.1e-07       0.24062
   110           1396.98             1      5.64e-06      0.239224
   111           1396.98         0.943      4.96e-06      0.238357
   112           1396.98             1      -5.6e-06      0.238357
   113           1396.98             1      5.29e-07      0.236197
   114           1396.97             1      9.49e-06      0.234991
   115           1396.97          0.93      8.86e-06      0.234473
   116           1396.97             1     -2.01e-06      0.234473
   117           1396.97             1      6.76e-06      0.232867
   118           1396.97             1      1.77e-05       0.23227
   119           1396.97         0.921      1.68e-05       0.23214
   120           1396.97             1      4.94e-06       0.23214
   121           1396.97             1      1.55e-05      0.231355
   122           1396.97             1      2.73e-05      0.231214
   123           1396.97         0.918      2.61e-05       0.23121
   124           1396.97             1      1.32e-05       0.23121
   125           1396.97             1      2.46e-05      0.230977
   126           1396.97             1      3.67e-05      0.230972
   127           1396.97         0.917      3.53e-05       0.23098
   128           1396.97             1      2.14e-05       0.23098
   129           1396.97             1      3.34e-05      0.230953
   130           1396.97             1      4.57e-05      0.230958
   131           1396.97         0.917      4.41e-05      0.231118
   132           1396.97             1      2.93e-05      0.231118
   133           1396.97             1      4.15e-05      0.231118
   134           1396.97             1      5.39e-05      0.231243
   135           1396.97         0.919      5.21e-05      0.231879
   136           1396.97             1      3.62e-05      0.231879
   137           1396.97             1      4.81e-05      0.231904
   138           1396.97             1      5.97e-05      0.232373
   139           1396.97         0.923      5.75e-05      0.233738
   140           1396.97             1       4.1e-05      0.233738

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       1.95754e+06
     1       1.95749e+06      1.12e-05     -1.93e+06       2.12702
     2       1.95703e+06       0.00012     -1.94e+06       2.12702
     3       1.81433e+06        0.0323     -2.43e+06       2.12702
     4       1.80121e+06       0.00362     -1.83e+06       2.12702
     5       1.79377e+06       0.00209     -1.79e+06       2.12702
     6       1.71068e+06         0.022     -2.03e+06       2.12702
     7       1.50839e+06        0.0537     -2.01e+06       2.12702
     8        1.4916e+06       0.00579     -1.42e+06       2.12702
     9        1.3988e+06        0.0381     -8.62e+05       2.12702
    10       1.27104e+06        0.0453     -1.45e+06       2.12702
    11       1.12808e+06        0.0613     -9.83e+05       2.12702
    12            589995         0.226     -1.24e+06       2.12702
    13            281149         0.305     -4.35e+05       2.12702
    14            226434         0.111     -2.31e+05       2.12702
    15           17435.9         0.954      -1.8e+04       2.12702
    16           16322.1        0.0845     -6.89e+03       2.12702
    17           9758.99         0.258      4.11e+04       2.12702
    18           6275.26             1      1.95e+03       2.12702
    19           5717.25          0.78      1.37e+03       1.52669
    20           5439.05             1         -7.05       1.52669
    21            5440.1             1          8.87      0.508898
    22           5330.55         0.548         -64.7        1.0178
    23           5322.67          0.52         -5.21        1.0178
    24            5320.6             1        -0.341        1.0178
    25           5318.68             1        -0.463      0.339265
    26           5309.01         0.201           -17      0.113088
    27            5298.6             1          -1.7      0.113088
    28           5277.67             1         -3.78     0.0951492
    29           5211.47             1         -12.2     0.0954221
    30           5144.46             1           -14     0.0859657
    31           7881.84          0.57      1.62e+05     0.0667847
    32           6333.42         0.866      5.98e+04      0.133569
    33           4821.23             1          -313      0.534278
    34           5001.31          0.28      1.86e+04      0.178093
    35           5104.35         0.275      2.47e+04      0.356185
    36           5908.43         0.433      2.96e+04       1.42474
    37           4094.81             1          -155       11.3979
    38           4008.06         0.101          -415       3.79931
    39           3678.27             1          42.4       3.79931
    40           3625.65             1         -7.85       1.26644
    41           3613.73             1         -4.64      0.422146
    42            3600.4         0.186         -37.3      0.197915
    43           3937.09         0.255      4.49e+04      0.197915
    44           3938.35         0.427       2.8e+04       0.39583
    45           3548.04             1         -46.6       1.58332
    46           3833.67         0.365      6.67e+03      0.527773
    47           3842.75         0.365      8.17e+03       1.05555
    48           3839.97         0.691      4.93e+03       4.22218
    49           3522.79             1         -12.8       33.7775
    50            3455.6             1          64.6       11.2592
    51           3378.23             1         -12.7       3.75305
    52           3339.08         0.852         -17.1       1.60787
    53           3256.99             1         -36.5       1.60787
    54           3035.23             1         -54.9      0.535956
    55           3012.11         0.283         -22.3      0.178652
    56           3017.27         0.806          44.1      0.178652
    57           3021.52             1          41.8      0.357304
    58           2995.27             1          11.5       1.42922
    59            2982.8             1           4.8       1.43229
    60           2971.35         0.568         -2.77       1.44371
    61           2961.59             1         -1.09       1.44371
    62           2958.26             1         -0.61       1.28851
    63           2957.73             1       -0.0998      0.643689
    64           2957.61             1       -0.0232      0.312664
    65            2957.6             1      -0.00299      0.104221
    66            2957.6             1     -0.000303     0.0347405

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            210726
     1            194335         0.036     -2.49e+05       3.47761
     2            151942         0.101     -2.26e+05       3.47761
     3            151938      1.38e-05     -1.48e+05       3.47761
     4            105550         0.139     -1.78e+05       3.47761
     5           95821.9        0.0475     -1.02e+05       3.47761
     6             70961         0.142      -8.1e+04       3.47761
     7           36377.2         0.269     -5.67e+04       3.47761
     8           36076.2       0.00458     -3.28e+04       3.47761
     9           16703.4         0.365      -2.2e+04       3.47761
    10           15546.5        0.0437     -1.28e+04       3.47761
    11           4536.49         0.606     -6.84e+03       3.47761
    12           1686.68         0.933          -355       3.47761
    13           1592.86             1          14.8       3.47761
    14           1562.13             1         -1.79       2.65887
    15            1556.5             1         -1.03       1.60007
    16           1523.94             1         -4.04       1.45672
    17           1490.54             1         -4.94      0.485573
    18           1492.51         0.449           592      0.161858
    19           1494.71         0.593           445      0.323715
    20           1482.79             1          89.9       1.29486
    21           1456.37         0.465         -18.5       0.43162
    22           1445.96         0.441         -8.15       0.43162
    23           1441.55         0.723         -1.28       0.43162
    24           1441.47         0.109        -0.374       0.43162
    25            1441.4         0.122        -0.258       0.43162
    26           1441.13             1       -0.0465       0.43162
    27           1440.89             1        -0.119      0.143873
    28           1439.78             1        -0.453     0.0479578
    29           1433.28             1         -2.89      0.024855
    30           1427.75        0.0678         -27.5     0.0208344
    31           1363.95         0.359           -85     0.0208344
    32              1362       0.00188          -513     0.0208344
    33           1271.13         0.217          -116     0.0208344
    34           1219.19         0.132          -183     0.0208344
    35           1056.42             1         -1.03     0.0208344
    36           1055.96       0.00918         -25.2    0.00694482
    37           1052.56        0.0673           -24    0.00694482
    38           1051.25             1       -0.0594    0.00694482
    39           1044.49             1          3.73    0.00231494
    40            1064.1         0.821          31.8    0.00231503
    41           1066.82             1          29.5    0.00463006
    42           1049.18             1          9.43     0.0185202
    43           1045.11             1          4.28      0.148162
    44           6002.96          0.69      1.83e+06       1.18529
    45           1040.55             1        -0.199       9.48236
    46           1040.12         0.311        -0.581       3.16079
    47           1039.89             1       -0.0905       3.16079
    48           5946.68         0.184      5.44e+06       1.17039
    49           5955.83         0.319      3.15e+06       2.34077
    50           1039.09             1       -0.0269       9.36309
    51           1039.01             1       -0.0148       9.13043
    52            1038.9             1       -0.0453       3.04348
    53           1038.87             1        -0.016       1.01449
    54           1038.86        0.0139        -0.302      0.338164
    55           1038.66         0.902       -0.0948      0.338164
    56           1043.21             1           5.4      0.338164
    57           1040.61             1          2.42      0.676328
    58           1038.85             1         0.237       2.70531
    59           1038.64             1      -0.00857       21.6425
    60           1038.62             1       -0.0134       7.21417
    61           1038.61             1       0.00059       2.40472
    62           1038.53             1       -0.0385       2.39917
    63           1038.51             1      -0.00859      0.799724
    64           1038.48             1        -0.011      0.266575
    65           1038.47       0.00484         -1.13     0.0888583
    66           1038.04         0.637         0.355     0.0888583
    67           1037.92         0.637       -0.0621     0.0888583
    68           1037.82             1       -0.0188     0.0888583
    69            1037.8             1      -0.00704     0.0871673
    70            1037.8        0.0164      -0.00529     0.0290558
    71           1037.76         0.246       -0.0586     0.0290558
    72           1037.75       0.00229          -2.1     0.0290558
    73           1037.71          0.83        0.0231     0.0290558
    74           1037.71             1        0.0147     0.0290558

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            107609
     1            107599      4.89e-05     -1.04e+05       0.58236
     2            107594      2.32e-05     -1.04e+05       0.58236
     3            107585      4.33e-05     -1.04e+05       0.58236
     4            107521      0.000309     -1.04e+05       0.58236
     5            107498      0.000111     -1.04e+05       0.58236
     6            102793        0.0244        -9e+04       0.58236
     7             92164        0.0649      2.75e+06       0.58236
     8           83437.1        0.0495     -8.68e+04       0.58236
     9           83423.8      8.31e-05     -8.02e+04       0.58236
    10           83159.3       0.00165     -8.05e+04       0.58236
    11           70297.3        0.0704     -1.07e+05       0.58236
    12           64309.4        0.0356     -1.05e+05       0.58236
    13           17078.3          0.11      -7.7e+05       0.58236
    14             15050         0.067     -1.51e+04       0.58236
    15           14598.8        0.0171     -1.32e+04       0.58236
    16           3520.15         0.438     -1.06e+04       0.58236
    17           4328.69         0.571       4.2e+04       0.58236
    18           10356.7         0.591      1.29e+05       1.16472
    19           7597.81         0.676      6.61e+04       4.65888
    20           2089.39         0.836      1.27e+03        37.271
    21           1948.65             1           170        37.271
    22           1744.51         0.394          -149       35.3861
    23           1646.59         0.923          34.6       35.3861
    24           1610.75             1          1.16       35.3861
    25           1577.87             1         -1.98       19.8018
    26           1572.78             1           122       11.3902
    27           1510.39             1          6.85       18.2736
    28           1510.39      1.61e-05         -8.26       12.0326
    29           1502.25         0.921         0.824       12.0326
    30           1498.13             1        -0.904       12.0326
    31           1494.51             1         -1.35       5.76551
    32           1490.86             1         -1.22       1.92184
    33           1489.02             1        -0.494      0.662537
    34           1486.67             1          -1.2      0.327103
    35           1478.67         0.758          -0.7      0.109034
    36           1465.11             1          7.45      0.109034
    37           1462.15         0.539         -0.12     0.0741071
    38           1459.69             1         0.832     0.0741071
    39           1460.02             1           1.2      0.044643
    40           1459.71             1         0.893     0.0892859
    41           1444.41         0.778          48.1      0.357144
    42           1413.62             1         -6.21      0.357144
    43           1407.89        0.0879           -28      0.119048
    44            1405.3             1          4.64      0.119048
    45           1405.44             1          22.2      0.161943
    46           1401.97             1          10.4      0.323887
    47           1399.73             1         0.403      0.325196
    48           1432.55             1          99.9      0.325197
    49           1407.18             1            25      0.650394
    50           1398.22             1         0.857       2.60158
    51           1397.38             1        -0.154        2.3475
    52           1397.17             1       -0.0594        0.7825
    53           1397.18             1         0.159      0.383239
    54           1397.11             1       -0.0123      0.766477
    55           1397.08             1       -0.0081       0.51015
    56           1397.06             1      -0.00749      0.356673
    57           1397.04             1      -0.00734      0.118891
    58           1397.02             1       0.00356     0.0805693
    59           1397.46             1         0.794     0.0805522
    60           1397.09             1         0.135      0.161104
    61           1397.02             1      -0.00108      0.644417
    62           1397.01             1     -0.000994      0.514425
    63           1397.01             1      -0.00226      0.171475
    64              1397             1      -0.00303     0.0818673
    65           1397.02             1         0.044     0.0612428
    66              1397             1       0.00742      0.122486
    67              1397             1     -0.000476      0.489942
    68              1397             1      -0.00068      0.358309
    69           1396.99             1      -0.00166      0.119436
    70           1396.99             1      -0.00182     0.0545383
    71           1397.05             1         0.113     0.0436332
    72              1397             1        0.0276     0.0872665
    73           1396.99             1      0.000277      0.349066
    74           1396.99             1     -0.000238      0.349195
    75           1396.99             1     -0.000299      0.246029
    76           1396.98             1     -0.000338       0.17332
    77           1396.98             1      0.000123      0.131971
    78           1396.98             1       0.00399      0.131705
    79           1396.98             1      0.000538       0.26341
    80           1396.98             1      0.000158       0.27414
    81           1396.98             1      0.000114      0.274114
    82           1396.98             1      8.45e-05      0.274086
    83           1396.98             1      4.38e-05      0.274049
    84           1396.98             1      2.08e-05      0.273626
    85           1396.98             1     -4.34e-06      0.272781
    86           1396.98             1     -1.85e-05      0.270471
    87           1396.98             1     -3.18e-05      0.267043
    88           1396.98             1     -3.63e-05      0.261416
    89           1396.98             1      -3.8e-05      0.255211
    90           1396.98             1     -3.03e-05      0.248354
    91           1396.98             1     -1.88e-05      0.243315
    92           1396.98             1      3.13e-06      0.239832
    93           1396.98             1      2.51e-05      0.238577
    94           1396.98             1      5.65e-05      0.238207
    95           1396.98             1      8.29e-05      0.238203
    96           1396.98             1      0.000121      0.238212
    97           1396.98             1      0.000151      0.238741
    98           1396.98             1      0.000195      0.240198
    99           1396.98             1      0.000214      0.245279
   100           1396.98             1      0.000231      0.251468
   101           1396.98             1      0.000207       0.26093
   102           1396.97             1      0.000182      0.266852
   103           1396.97             1      0.000142      0.271883
   104           1396.97             1      0.000113      0.273894
   105           1396.97             1      8.14e-05      0.275028
   106           1396.97             1      5.95e-05      0.275214
   107           1396.97             1      3.76e-05      0.275235
   108           1396.97             1      2.21e-05      0.275228
   109           1396.97             1      7.18e-06      0.275086
   110           1396.97             1     -3.53e-06      0.274176
   111           1396.97             1     -1.32e-05      0.271953
   112           1396.97             1     -1.95e-05      0.267115
   113           1396.97             1     -2.41e-05      0.259842
   114           1396.97             1     -2.48e-05      0.250099
   115           1396.97             1      -2.2e-05      0.240617
   116           1396.97             1      -1.3e-05      0.232962
   117           1396.97             1      5.39e-07      0.229148
   118           1396.97             1      2.12e-05      0.227916
   119           1396.97             1      4.35e-05      0.227864
   120           1396.97             1      7.48e-05      0.227876
   121           1396.97             1      0.000106      0.228939
   122           1396.97             1      0.000145      0.232886
   123           1396.97             1       0.00016      0.245327
   124           1396.97             1      0.000157      0.259245
   125           1396.97             1      0.000125       0.27355

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             88390
     1           88388.2      1.09e-05     -8.59e+04      0.218523
     2           88381.5      3.91e-05     -8.59e+04      0.218523
     3           84003.6        0.0725      2.64e+05      0.218523
     4           83883.8      0.000737     -8.12e+04      0.218523
     5           82210.3        0.0105     -7.87e+04      0.218523
     6           81329.8       0.00555     -7.91e+04      0.218523
     7           72000.5        0.0602     -7.71e+04      0.218523
     8           50876.9         0.152     -7.31e+04      0.218523
     9           50368.7       0.00507      -5.2e+04      0.218523
    10           46166.2        0.0336     -8.19e+04      0.218523
    11           39044.9        0.0554     -9.53e+04      0.218523
    12           10126.4         0.139     -2.97e+05      0.218523
    13           9343.92        0.0428      -9.9e+03      0.218523
    14           2963.82          0.11     -1.45e+05      0.218523
    15           1959.53         0.271     -1.69e+03      0.218523
    16           1585.71         0.454      1.45e+03      0.218523
    17            1484.4         0.526           323      0.218523
    18           1791.65         0.779      3.54e+03      0.218523
    19           1829.81         0.871      3.31e+03      0.437046
    20           1492.71             1           386       1.74819
    21           1406.81             1         -3.11       13.9855
    22           1398.76             1         -1.14       4.78596
    23           1395.58             1          -1.3       1.59532
    24           1393.39         0.254         -4.66      0.531774
    25           1391.01         0.213          -6.3      0.531774
    26           1389.57         0.783        -0.737      0.531774
    27           1389.06         0.381        -0.661      0.531774
    28           1387.34             1         -0.73      0.531774
    29           1385.89             1         0.124      0.177258
    30           1386.54             1          1.29     0.0739555
    31           1385.84             1         0.184      0.147911
    32            1385.7             1       -0.0299      0.166461
    33           1385.67             1      -0.00686      0.107106
    34           1385.64             1      -0.00907      0.105184
    35           1385.62             1      -0.00618     0.0812285
    36           1385.61             1      -0.00509     0.0674357
    37            1385.6             1      -0.00455     0.0521707
    38           1385.58             1      -0.00439     0.0393577
    39           1385.57             1      -0.00417     0.0294417
    40           1385.57             1      -0.00368     0.0215294
    41           1385.87             1          5.68     0.0158954
    42            1385.5             1          4.71     0.0317909
    43           1384.21             1          0.22     0.0583211
    44           1383.91             1         0.494      0.058284
    45            1383.8             1         0.222     0.0583818
    46           1383.71         0.375        0.0625     0.0689228
    47            1383.7             1        0.0323     0.0689228
    48           1383.76             1          0.12      0.104933
    49           1383.73             1        0.0744      0.209866
    50           1383.69             1         0.013      0.839464
    51           1383.68         0.207      -0.00586      0.852605
    52           1383.68             1        0.0019      0.852605
    53           1383.68         0.777      0.000184      0.856982
    54           1383.68             1      -8.3e-05      0.856982
    55           1383.68             1     -0.000116       0.67757
    56           1383.68             1     -0.000164      0.448934
    57           1383.68             1      -0.00034      0.190641
    58           1383.68             1     -0.000569     0.0886752
    59           1383.68         0.421     -0.000912     0.0609343
    60           1383.67             1     -0.000848     0.0609343
    61           1383.67             1     -0.000858     0.0327756
    62           1383.67             1       0.00315     0.0288764
    63           1383.67        0.0248        -0.013     0.0394835
    64           1383.68             1         0.024     0.0394835
    65           1383.68             1        0.0202      0.078967
    66           1383.67             1        0.0079      0.315868
    67           1383.67             1     -0.000153       2.52694

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            112776
     1            112767      4.42e-05     -1.08e+05      0.502949
     2            112601      0.000765     -1.08e+05      0.502949
     3            112380       0.00102     -1.08e+05      0.502949
     4            109527        0.0134     -1.05e+05      0.502949
     5            102835        0.0331     -9.75e+04      0.502949
     6             90007        0.0668     -9.26e+04      0.502949
     7           89975.4      0.000184      -8.6e+04      0.502949
     8           89968.7      3.85e-05      -8.6e+04      0.502949
     9           87684.9        0.0134     -8.46e+04      0.502949
    10           64462.1         0.151     -7.05e+04      0.502949
    11           45217.7         0.166      1.86e+06      0.502949
    12           44324.4        0.0105     -4.19e+04      0.502949
    13           4922.05         0.799     -8.76e+03      0.502949
    14           4796.59        0.0185     -3.31e+03      0.502949
    15           4796.36      3.55e-05     -3.18e+03      0.502949
    16           4795.78      9.17e-05     -3.18e+03      0.502949
    17           2267.23             1          -407      0.502949
    18           2202.64        0.0498          -583       0.40255
    19           1835.45         0.678          -120       0.40255
    20           1667.28         0.382          -142       0.40255
    21           1337.51             1         -75.5       0.40255
    22           1204.34             1         -6.97      0.360038
    23           1197.47             1          33.3       0.29085
    24           1162.91             1         -4.53      0.370189
    25           1160.78             1        -0.368      0.123396
    26           1160.73         0.143        -0.156     0.0411321
    27           1160.57             1       -0.0359     0.0411321
    28           1135.96             1          31.1     0.0291347
    29           1124.82         0.451         -7.29     0.0287018
    30           1119.03             1        -0.265     0.0287018
    31           1118.06             1        -0.169     0.0179467
    32           1118.03         0.149       -0.0899    0.00598224
    33           1117.97             1        0.0615    0.00598224
    34            1117.9             1        -0.013    0.00584157
    35           1117.86        0.0163         -1.06    0.00194719
    36           1117.28         0.401        0.0674    0.00194719
    37           1118.66             1          2.16    0.00194719
    38           1117.93             1          1.37    0.00389438
    39           1116.92             1         0.211     0.0155775
    40           1114.44         0.806          2.05      0.015601
    41           1113.35             1        0.0151      0.015601
    42           1113.12             1       -0.0214     0.0136088
    43           1113.12        0.0515       -0.0118    0.00453628
    44           1113.11             1      -0.00303    0.00453628
    45           1113.08             1       -0.0105    0.00214597
    46           1112.93             1       -0.0409   0.000715324
    47           1347.54             1       2.9e+03   0.000238441
    48           1279.28             1      1.81e+03   0.000476882
    49           1153.71             1           280    0.00190753
    50           1112.95             1         0.885     0.0152602
    51           1112.81             1       -0.0453      0.122082
    52           1112.81             1         0.635      0.040694
    53           1112.65             1       -0.0209     0.0813879
    54           1112.55             1         0.187     0.0271293
    55           1112.41             1     -0.000513     0.0270798
    56           1104.46         0.509         -4.34    0.00902659
    57           1101.15             1        -0.479    0.00902659
    58           1100.76             1       -0.0466    0.00400615
    59           1100.08         0.111         -2.22    0.00133538
    60           1099.45         0.121         -1.97    0.00133538
    61           1098.68         0.179         -1.27    0.00133538
    62           1098.19             1       -0.0988    0.00133538
    63           1098.08             1       -0.0308   0.000445127
    64           1098.05             1       -0.0114   0.000148376
    65           1088.21             1         -4.81   4.94586e-05
    66           1085.42        0.0208         -67.3   1.64862e-05
    67           1072.28         0.101         -64.1   1.64862e-05
    68           1077.97             1          28.9   1.64862e-05
    69           1077.44             1          26.9   3.29724e-05
    70           1077.77             1          28.1    0.00013189
    71           1077.25             1          26.2    0.00105512
    72           1076.71             1          24.2    0.00844093
    73           1073.09             1          11.2     0.0675275
    74           1069.85             1         -0.28       0.54022
    75           1069.37             1       -0.0645      0.180073
    76           1069.34             1      -0.00469     0.0600244

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            969112
     1            966173       0.00154     -9.55e+05       46.0396
     2            964648        0.0008     -9.53e+05       46.0396
     3            962549        0.0011     -9.51e+05       46.0396
     4            784176        0.0995     -8.43e+05       46.0396
     5            769620       0.00947     -7.64e+05       46.0396
     6            747483        0.0147     -7.45e+05       46.0396
     7            747044      0.000298     -7.36e+05       46.0396
     8            383807         0.292     -5.21e+05       46.0396
     9            380030       0.00505     -3.72e+05       46.0396
    10            275189         0.162     -2.81e+05       46.0396
    11            198304         0.167     -1.95e+05       46.0396
    12           23645.6             1      -2.9e+04       46.0396
    13           4757.41         0.687     -7.12e+03       21.3694
    14           2632.21         0.443     -1.71e+03       21.3694
    15           2145.18         0.243          -843       21.3694
    16           2056.52        0.0661          -643       21.3694
    17           1729.17         0.328          -393       21.3694
    18           1507.59         0.507          -147       21.3694
    19           1412.18         0.871           -23       21.3694
    20           1397.11             1         -4.74       21.3694
    21           1388.65             1         -3.08       7.12312
    22           1382.73             1         -1.35       2.37437
    23           1380.22             1        -0.351       2.11492
    24           1378.11         0.935         -0.56       2.03465
    25           1375.99             1        -0.765       2.03465
    26           1373.33             1         -1.07       1.39533
    27           1368.33             1          -2.3      0.927525
    28            1348.9             1         -9.47      0.392349
    29           1330.18        0.0993         -93.1      0.130783
    30           1286.77         0.147          -143      0.130783
    31           1084.05         0.586          -126      0.130783
    32           1073.93        0.0531         -92.6      0.130783
    33           984.401             1         -2.14      0.130783
    34           983.408        0.0478         -11.5     0.0435943
    35           1720.09         0.373      6.47e+04     0.0435943
    36           1714.64         0.382      6.22e+04     0.0871886
    37           1719.49         0.411      5.74e+04      0.348754
    38           1727.11         0.625      3.74e+04       2.79004
    39           978.047             1         -3.49       22.3203
    40           984.517             1            46       7.44009
    41           978.693             1          16.6       14.8802
    42           975.632             1         0.895       59.5208
    43           974.937             1         -0.15       19.8403
    44           974.723             1       -0.0665       6.61342
    45           974.632             1       -0.0318       2.20447
    46           974.525             1       -0.0387      0.734824
    47           974.436             1       -0.0254      0.553347
    48           974.367             1       -0.0138      0.483551
    49           974.312             1      -0.00806      0.445951
    50           974.266             1      -0.00561      0.419017
    51           974.229             1      -0.00448      0.394928
    52           974.197             1      -0.00393      0.371441
    53           974.172             1      -0.00329      0.347541
    54           974.151             1      -0.00282      0.324223
    55           974.133             1      -0.00251       0.30122
    56           974.118             1      -0.00226      0.278378
    57           974.105             1      -0.00206      0.256008
    58           974.095             1      -0.00143      0.234302
    59           974.086             1      -0.00129      0.216092
    60           974.079             1      -0.00109      0.197448
    61           974.072             1      -0.00105      0.180542
    62           974.066             1     -0.000949      0.163583
    63           974.061             1     -0.000921      0.147973
    64           974.056             1     -0.000867       0.13274
    65           974.051             1     -0.000853      0.118697
    66           974.047             1     -0.000826      0.105241
    67           974.043             1     -0.000825     0.0928203
    68           974.039             1     -0.000819     0.0810303
    69           974.036             1     -0.000835     0.0701238
    70           974.032             1     -0.000852     0.0598254
    71           974.029             1     -0.000889     0.0503035
    72           974.025             1     -0.000934     0.0413883
    73           974.022             1        -0.001     0.0332432
    74           974.018             1      -0.00109     0.0258076
    75           974.015             1       -0.0012     0.0192852
    76           974.011             1      -0.00113     0.0137029
    77           974.007             1      -0.00127     0.0105256
    78           974.005         0.738      -0.00114    0.00730424
    79           974.003             1     -0.000931    0.00730424

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           85496.1
     1           85488.6      4.56e-05     -8.24e+04       0.76412
     2           85486.8      1.09e-05     -8.23e+04       0.76412
     3             85324      0.000985     -8.29e+04       0.76412
     4           85055.8       0.00162     -8.32e+04       0.76412
     5           84934.4      0.000739     -8.24e+04       0.76412
     6           84809.8       0.00076     -8.23e+04       0.76412
     7           84086.6       0.00435     -8.44e+04       0.76412
     8           83919.3       0.00104     -8.06e+04       0.76412
     9           83910.3      5.61e-05     -8.08e+04       0.76412
    10           83881.7      0.000177     -8.07e+04       0.76412
    11           83862.7      0.000118     -8.07e+04       0.76412
    12           83234.2       0.00393     -7.93e+04       0.76412
    13           90802.4         0.418      2.52e+05       0.76412
    14           54452.6         0.432      1.82e+04       1.52824
    15           42101.9         0.132     -4.17e+04       1.52824
    16           35396.3        0.0719     -5.57e+04       1.52824
    17           11646.4         0.208     -8.85e+04       1.52824
    18           11634.3      0.000606     -9.97e+03       1.52824
    19            8544.8         0.162     -9.08e+03       1.52824
    20           8240.25        0.0369      1.37e+06       1.52824
    21           6058.88         0.162     -6.82e+03       1.52824
    22           2928.76         0.314     -5.17e+03       1.52824
    23           1860.29         0.494           540       1.52824
    24           2451.26         0.953      9.93e+03       1.52824
    25           1745.28             1          80.9       3.05648
    26           1687.68             1          26.2       2.63095
    27           4318.26         0.455      6.34e+04      0.876982
    28           2841.95         0.691      1.46e+04       1.75396
    29           1660.37             1          34.1       7.01585
    30           3201.11         0.557      1.56e+04       2.33862
    31           3232.04         0.734       1.1e+04       4.67724
    32            1613.6         0.609         -8.96       18.7089
    33           1576.62             1          11.4       18.7089
    34            1556.2             1         -5.61       13.7806
    35           6233.34         0.779      1.11e+05       4.59353
    36           1584.66             1           252       9.18705
    37           1549.48             1         -3.37       36.7482
    38           1548.28             1          62.6       12.2494
    39           1522.52             1          4.64       18.9394
    40           1521.84        0.0474         -7.18       6.31313
    41           1512.35             1        -0.121       6.31313
    42           1503.13             1         -2.01       2.10438
    43           1498.44         0.988        -0.532      0.701459
    44           1491.63             1         -2.71      0.701459
    45           1491.51       0.00339         -18.2       0.23382
    46           1485.41             1          3.46       0.23382
    47           1476.93             1         0.409      0.244026
    48           1961.85             1      4.44e+03     0.0813419
    49           1481.13             1          13.7      0.162684
    50           1475.47             1         0.429      0.650735
    51           2202.79             1      3.36e+03      0.650825
    52           1507.04             1          86.2       1.30165
    53           1474.03             1       -0.0289        5.2066
    54           1473.93             1          1.41        2.9628
    55           1472.33             1        -0.306       4.83789
    56           1472.25             1         0.857       1.61263
    57           1471.25             1        -0.232       2.44686
    58           1472.12             1           2.8      0.815619
    59           1470.87             1      -0.00376       1.63124
    60           1470.34             1       -0.0686       1.55962
    61           1469.73             1       -0.0155        1.4486
    62           1468.96             1        0.0253       1.40338
    63           1468.12             1         0.454       1.35738
    64           1467.27             1          1.27       1.35684
    65           1466.45             1          2.07       1.37158
    66           1464.75             1          1.06       1.49179
    67           1464.45        0.0702            -2       1.49179
    68           1462.95             1         0.301       1.49179
    69           1461.83             1       -0.0938       1.47243
    70           1461.26             1       -0.0674       1.28101
    71           1460.89             1       -0.0797       1.10693
    72           1460.65             1       -0.0566      0.834293
    73           1460.47             1       -0.0516      0.643484
    74           1460.34             1       -0.0388      0.458795
    75           1460.24             1       -0.0318      0.360751
    76           1460.16             1       -0.0243      0.282928
    77            1460.1             1       -0.0193      0.231399
    78           1460.06             1       -0.0152      0.187174
    79           1460.02             1       -0.0121      0.152217
    80              1460             1      -0.00971      0.122749
    81           1459.97             1      -0.00778     0.0987943
    82           1459.96             1      -0.00627      0.079137
    83           1459.94             1      -0.00805     0.0633223
    84           1459.92             1      -0.00885     0.0425133
    85           1459.89             1      -0.00849     0.0259208
    86           1459.88             1        0.0229     0.0163961
    87           1459.86             1       0.00202      0.020693
    88           1459.87             1        0.0359     0.0197567
    89           1459.86             1        0.0278     0.0395135
    90           1459.85             1        0.0136      0.158054
    91           1461.83             1          5.61      0.204449
    92           1459.83             1         0.194      0.408898
    93           1459.64             1       -0.0604      0.554796
    94           1445.81         0.209          44.4      0.184932
    95           1421.41         0.157         -76.6      0.184932
    96           1437.24         0.982            39      0.184932
    97           1434.09             1          37.6      0.369864
    98           1419.69             1          20.6       1.47946
    99              1402             1          1.56       2.34081
   100           1402.14             1          1.97      0.780269
   101           1401.48             1         0.471       1.56054
   102           1401.15             1       -0.0598       1.49734
   103           1401.09             1        0.0566      0.558967
   104           1400.88             1       -0.0652       0.55948
   105           1400.26             1        -0.304      0.186493
   106           1397.33         0.389         -3.66     0.0621645
   107           1429.21          0.61          84.2     0.0621645
   108           1429.76         0.902          57.1      0.124329
   109           1397.95             1          1.36      0.497316
   110           1397.18             1       -0.0406       3.97853
   111           1397.13             1       0.00187       1.32618
   112           1397.11             1      -0.00738       1.17157
   113            1397.1             1      -0.00131      0.658313
   114           1397.08             1      -0.00492      0.619414
   115           1397.06             1      -0.00785      0.206471
   116           1397.04             1      -0.00737      0.142161
   117           1397.03             1       0.00462       0.10604
   118           1397.08             1         0.109      0.106041
   119           1397.03             1        0.0103      0.212083
   120           1397.02             1      0.000138      0.292082
   121           1397.02             1      -0.00108      0.282414
   122           1397.01             1     -0.000253      0.229839
   123           1397.01             1      8.19e-05      0.224189
   124           1397.01             1       0.00119      0.222316
   125           1397.01             1       0.00167      0.223009
   126              1397             1       0.00315      0.225718
   127              1397             1       0.00177      0.277754
   128              1397             1      0.000759       0.27929
   129              1397             1       0.00044       0.27929
   130              1397             1      0.000334      0.279269
   131              1397             1      0.000137      0.279268
   132              1397             1      6.62e-05      0.278785
   133           1396.99             1     -2.48e-05      0.277948
   134           1396.99             1     -6.01e-05      0.274311
   135           1396.99             1     -9.71e-05      0.268788
   136           1396.99             1     -0.000103       0.25856
   137           1396.99             1     -0.000102      0.247696
   138           1396.99             1     -6.76e-05      0.236453
   139           1396.99             1     -2.17e-05      0.230145
   140           1396.99             1      6.45e-05      0.227311
   141           1396.99             1      0.000142      0.227111
   142           1396.99             1      0.000266      0.227111
   143           1396.99             1      0.000365      0.228183
   144           1396.99             1       0.00051      0.231854
   145           1396.99             1      0.000506      0.246899
   146           1396.99             1      0.000453      0.257691
   147           1396.99             1      0.000336      0.266755
   148           1396.99             1      0.000262      0.269568
   149           1396.99             1      0.000182       0.27147
   150           1396.99             1      0.000134      0.271816
   151           1396.98             1      8.31e-05      0.271911
   152           1396.98             1      5.12e-05      0.271911
   153           1396.98             1      1.93e-05       0.27185
   154           1396.98             1     -1.67e-06      0.271141
   155           1396.98             1     -2.11e-05      0.269227
   156           1396.98             1      -3.3e-05      0.264564
   157           1396.98             1     -4.19e-05      0.257243
   158           1396.98             1     -4.32e-05      0.247025
   159           1396.98             1     -3.84e-05      0.236927
   160           1396.98             1     -2.11e-05      0.228774
   161           1396.98             1      4.32e-06      0.224923
   162           1396.98             1      4.46e-05      0.223826
   163           1396.98             1      8.68e-05       0.22381
   164           1396.98             1       0.00015      0.223875
   165           1396.98             1      0.000207      0.226115
   166           1396.98             1      0.000275      0.232618
   167           1396.98             1      0.000269      0.250183
   168           1396.98             1      0.000231      0.262712
   169           1396.98             1       0.00017      0.271743
   170           1396.98             1      0.000127       0.27486
   171           1396.98             1      8.43e-05       0.27642
   172           1396.98             1      5.53e-05      0.276618
   173           1396.98             1      2.87e-05      0.276623
   174           1396.98             1      9.93e-06      0.276552
   175           1396.98             1     -6.64e-06      0.275865
   176           1396.98             1     -1.84e-05      0.272922
   177           1396.98             1     -2.78e-05      0.266367
   178           1396.98             1     -3.32e-05      0.254705
   179           1396.98             1     -3.48e-05      0.239949
   180           1396.98             1     -2.86e-05       0.22548
   181           1396.98             1     -1.29e-05       0.21642
   182           1396.98             1      1.78e-05      0.213171
   183           1396.98             1      5.78e-05      0.213019
   184           1396.98             1       0.00012      0.213094
   185           1396.98             1      0.000186      0.217513
   186           1396.98             1      0.000246       0.23292
   187           1396.98             1      0.000204      0.266071
   188           1396.98             1      0.000143      0.279759

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0        1.3378e+06
     1            538741         0.449      -3.9e+05       25.6242
     2            415743         0.122     -4.77e+05       25.6242
     3            395500        0.0249     -4.01e+05       25.6242
     4           76050.9         0.533     -1.99e+05       25.6242
     5           37999.6         0.304     -5.24e+04       25.6242
     6           27781.6         0.152     -3.15e+04       25.6242
     7             22307         0.111     -2.38e+04       25.6242
     8           2282.72         0.681      5.46e+03       25.6242
     9           1903.21         0.688      1.14e+03       25.6242
    10           1649.39             1           219       25.6242
    11           1550.26             1          23.7       16.3287
    12           1461.62             1            45       6.46316
    13           1439.65             1          21.2       4.14438
    14           1425.07             1         0.967       4.04243
    15           1421.06             1        0.0393       3.07879
    16           1419.21             1        -0.496       1.99379
    17           1418.06             1          3.04      0.794127
    18           1416.49         0.666        0.0883      0.807628
    19           1415.09             1         0.305      0.807628
    20           1413.39             1        -0.436      0.807497
    21           1412.48             1        -0.313      0.587426
    22           1411.87             1        -0.247      0.327219
    23           1411.59         0.167        -0.831      0.163971
    24           1410.82             1         0.209      0.163971
    25           3990.04         0.358      2.24e+05      0.054657
    26           3991.99         0.511      1.64e+05      0.109314
    27           1415.47             1          29.3      0.437256
    28           1409.76             1        -0.286       3.49805
    29           1409.76      1.37e-05         -0.66       1.16602
    30           1408.41             1        -0.574       1.16602
    31              1413             1          17.9      0.388672
    32           1415.53             1          30.2      0.777343
    33              1407             1        -0.666       3.10937
    34           1410.25             1          16.2       1.03646
    35              1405             1          0.51       2.07292
    36           1403.31         0.947       -0.0708       1.11268
    37           1402.91             1        -0.107       1.11268
    38           1402.84         0.105        -0.348      0.370893
    39           1402.26             1        -0.252      0.370893
    40           1401.52             1         -0.32      0.214446
    41           1400.48             1        -0.461      0.138345
    42           1398.29             1         -1.01     0.0870297
    43           1388.81             1         -4.61     0.0498001
    44           1369.29         0.101         -95.3     0.0176325
    45           1042.44             1         -80.8     0.0176325
    46           1042.34       0.00124         -43.1    0.00587751
    47            1078.5         0.207           597    0.00587751
    48           1076.61         0.378           337      0.011755
    49           1015.24             1          22.1     0.0470201
    50            1019.7         0.106          69.3     0.0459543
    51           1015.65         0.159          21.3     0.0919086
    52           1007.06         0.398         -5.81      0.367634
    53           999.923             1        0.0689      0.367634
    54           999.912             1          0.26      0.122545
    55           1000.06             1         0.477      0.208911
    56           999.772             1      -0.00858      0.417821
    57           999.721             1       -0.0102      0.339863
    58           999.676             1        -0.018      0.113288
    59           999.634             1       -0.0182     0.0814653
    60            999.57             1       -0.0287     0.0552989
    61           999.296             1        -0.124      0.027967
    62           998.878        0.0769         -2.51    0.00932235
    63           1047.02         0.455           211    0.00932235
    64           1011.44         0.812          42.2     0.0186447
    65           995.548             1         -1.63     0.0745788
    66           995.032        0.0957          74.7     0.0248596
    67            1059.6         0.355           532     0.0248596
    68           1061.36         0.519           388     0.0497192
    69           998.663             1          17.4      0.198877
    70           988.965             1        -0.524       1.59101
    71             988.9             1        0.0644      0.530338
    72           988.842             1      -0.00149      0.530314
    73           988.825             1       -0.0026      0.455342
    74           988.821             1      -0.00146      0.257848
    75           988.814             1      -0.00352     0.0859494
    76           988.795             1      -0.00507     0.0286498
    77           988.806         0.306         0.107     0.0206752
    78           988.868         0.613         0.236     0.0413504
    79             988.8             1        0.0176      0.165402
    80           988.792             1     -0.000543       1.32321
    81            988.79             1     -0.000837      0.441071
    82           988.786             1      -0.00179        0.2538
    83           988.778         0.664      -0.00585     0.0846001
    84           988.766             1      -0.00601     0.0846001
    85           988.711             1       -0.0268        0.0282
    86           988.154             1        -0.207    0.00940002
    87           1065.24        0.0784      2.62e+03    0.00415214
    88           1065.22         0.137      1.51e+03    0.00830429
    89           1065.25         0.516           401     0.0332172
    90           987.296             1        -0.303      0.265737
    91           983.688         0.518         -3.37      0.144341
    92           996.958             1          24.4      0.144341
    93           985.053             1          2.69      0.288682
    94           983.474             1       -0.0368       1.15473
    95           983.509             1        0.0975      0.384909
    96            983.45             1      -0.00198      0.769819
    97           983.442             1      -0.00164      0.516656
    98           983.439             1      -0.00146      0.200346
    99           983.432             1      -0.00291      0.066782
   100            983.63             1         0.383     0.0262715
   101           983.484             1         0.104     0.0525431
   102           983.432             1       0.00128      0.210172
   103            983.43             1     -0.000159      0.235961
   104           983.428             1     -0.000418       0.22584
   105           983.427             1     -0.000497      0.180918
   106           983.425             1     -3.87e-05      0.131138
   107           983.427             1       0.00645      0.128966
   108           983.424             1      5.77e-05      0.257933
   109           983.423             1     -0.000467      0.256766
   110           983.421             1      -0.00074      0.146217
   111            983.42             1       0.00214     0.0624317
   112           983.731             1         0.645     0.0636892
   113           983.456             1        0.0744      0.127378
   114           983.417             1      -0.00045      0.509514
   115           983.416             1     -0.000319       0.41338
   116           983.414             1     -0.000896      0.137793
   117           983.409             1      -0.00267     0.0459311
   118           983.407         0.151        -0.008     0.0153104
   119           983.406             1     -0.000446     0.0153104

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       2.32472e+06
     1       2.32455e+06      4.15e-05      -2.1e+06   2.26219e+06
     2       2.32444e+06      2.56e-05      -2.1e+06   2.26219e+06
     3            669571         0.634     -7.18e+05   2.26219e+06
     4            336021         0.381     -3.24e+05   2.26219e+06
     5            258680          0.16     -2.17e+05   2.26219e+06
     6           44886.1             1     -4.11e+04   2.26219e+06
     7           43273.5        0.0342     -2.31e+04        777082
     8             18985             1      -4.2e+03        777082
     9           16859.9             1          -364        259027
    10           16684.1         0.152          -572       86342.4
    11           16283.4         0.364          -538       86342.4
    12           15565.9         0.718          -482       86342.4
    13           14690.3             1          -421       86342.4
    14           12782.8             1          -863       28780.8
    15           10553.3         0.772     -1.21e+03        9593.6
    16           9290.16         0.852          -616        9593.6
    17           8785.47         0.652          -345        9593.6
    18           8314.46             1          -199        9593.6
    19           7799.24             1          -187       3197.87
    20           7559.54         0.729          -129       1325.98
    21            7547.5        0.0768           -76       1325.98
    22           7421.01             1         -54.7       1325.98
    23           7195.79             1          -109       441.992
    24           6729.61             1          -220       147.331
    25           6658.66         0.147      2.85e+04       49.1102
    26           5736.25         0.739          -127       49.1102
    27           5004.31         0.519          -769       49.1102
    28           4368.58             1         -55.8       49.1102
    29           4332.68        0.0282          -650       16.3701
    30           7393.63         0.382      1.47e+05       16.3701
    31           4224.51          0.59      1.15e+04       32.7401
    32           4744.12             1      8.32e+03       32.7401
    33            3225.2             1         2e+03       65.4803
    34           2642.96          0.79         -88.6       61.9448
    35           2591.01             1         -18.3       61.9448
    36           2530.61             1           -24       20.6483
    37           2482.87             1         -21.4       6.88276
    38           3037.28          0.83      8.86e+03       2.29425
    39           2476.89        0.0879         -33.5       4.58851
    40            2462.8             1          48.3       4.58851
    41           2389.22         0.646         -56.7       4.61317
    42           2481.25         0.405      5.12e+03       4.61317
    43           2465.02         0.793      2.68e+03       9.22633
    44           2352.65             1         -14.9       36.9053
    45           2452.47          0.55      3.34e+03       12.3018
    46           2328.05             1           641       24.6035
    47           2028.54          0.59           244       24.6036
    48           1596.02         0.954         -17.4       24.6036
    49           1570.97             1         -4.45       24.6036
    50           1553.01             1         -6.42       8.20121
    51           1519.99         0.505         -22.9       2.73374
    52           1598.36         0.971           817       2.73374
    53           1482.07             1         -10.9       5.46747
    54           2147.73         0.684      7.26e+03       1.89329
    55           1522.27             1           359       3.78658
    56           1458.39             1         -9.45       15.1463
    57           1443.88             1          52.6       5.04877
    58           1408.54             1         -6.99       5.07467
    59           1402.34             1          3.41       2.02096
    60           1395.94         0.582         -3.34       2.02193
    61            1391.6             1            -1       2.02193
    62           1389.16             1        -0.789       1.85163
    63           1387.52             1        -0.614       1.47482
    64           1386.07             1        -0.539      0.949519
    65           1384.85             1        -0.429      0.539094
    66           1383.93             1         -0.34      0.354621
    67           1379.44         0.164         -12.8      0.276345
    68           1377.01             1        -0.602      0.276345
    69            1375.7             1        -0.219      0.193518
    70            1375.1         0.474        -0.479      0.187656
    71           1374.69         0.353        -0.493      0.187656
    72           1373.93             1        -0.254      0.187656
    73           1373.03             1        -0.337      0.159176
    74           1372.88        0.0804        -0.901      0.134018
    75           1371.32             1        -0.661      0.134018
    76           1366.88             1         -2.12      0.098196
    77            1363.8        0.0819         -18.5     0.0526487
    78           1361.98        0.0283         -31.9     0.0526487
    79            1360.4        0.0195         -40.5     0.0526487
    80           1269.41             1         -42.5     0.0526487
    81           976.349             1         -11.3     0.0175496
    82           1378.55         0.252      3.42e+03    0.00584985
    83           1373.63         0.558       1.5e+03     0.0116997
    84           979.145             1          6.59     0.0467988
    85           974.501             1        -0.147      0.374391
    86           974.368             1         0.131      0.124797
    87           974.191             1       -0.0306      0.133286
    88           974.134             1       -0.0036      0.116318
    89           974.097             1      -0.00677      0.114739
    90           974.079             1      -0.00233      0.104444
    91           974.067             1      -0.00228     0.0975316
    92           974.058             1      -0.00169     0.0867434
    93           974.051             1      -0.00169     0.0772582
    94           974.045             1      -0.00147     0.0657853
    95           974.039             1       -0.0015     0.0557261
    96           974.034             1      -0.00142     0.0450438
    97           974.029             1       -0.0015     0.0361076
    98           974.024             1      -0.00149     0.0273432
    99            974.02             1      -0.00161     0.0204747
   100           974.015             1      -0.00167     0.0142609
   101            974.01             1       -0.0018    0.00982662
   102           974.006             1      -0.00188    0.00625241
   103           974.001             1      -0.00191    0.00397309
   104           973.997             1      -0.00188    0.00239623
   105           973.993             1      -0.00155    0.00147683
   106           973.991             1      -0.00111   0.000836558
   107           973.988             1      -0.00108   0.000393766
   108           973.985             1      -0.00122   0.000199257
   109           973.983             1      -0.00108   0.000128013

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           65444.1
     1           65438.8      4.17e-05     -6.27e+04       2.32431
     2           65436.8      1.64e-05     -6.27e+04       2.32431
     3           42565.2         0.148     -8.56e+04       2.32431
     4           41624.5        0.0118     -3.98e+04       2.32431
     5           35901.4        0.0745     -3.78e+04       2.32431
     6           20613.9         0.248     -2.79e+04       2.32431
     7           12095.2         0.249      -1.5e+04       2.32431
     8           3747.45         0.339     -1.26e+04       2.32431
     9           3233.01         0.116     -2.25e+03       2.32431
    10           1797.08         0.438     -1.27e+03       2.32431
    11           1491.29         0.612         -78.5       2.32431
    12           1470.99             1         -1.73       2.32431
    13           2110.21             1      2.45e+03      0.774769
    14           1611.89             1           465       1.54954
    15           1451.01             1          3.53       6.19815
    16            1442.5         0.396         -8.37       4.84702
    17           1438.86             1         -0.13       4.84702
    18           1764.37         0.731      3.51e+03       1.61567
    19           1488.83             1           218       3.23135
    20           1436.55             1         0.101       12.9254
    21           1434.25             1        -0.648       7.37272
    22           1432.34             1       -0.0289       3.72484
    23           1430.91             1        0.0841       3.16508
    24           1429.88             1         0.125       3.00871
    25            1429.1             1        0.0267        2.9517
    26           1428.54             1       -0.0221       2.86459
    27           1428.14             1       -0.0507       2.73604
    28           1427.86             1       -0.0541       2.51661
    29           1427.65             1       -0.0526       2.22208
    30           1427.48             1       -0.0501       1.85996
    31           1427.34             1         -0.05       1.47294
    32           1427.19             1       -0.0527       1.09106
    33           1427.04          0.98       -0.0622      0.752674
    34           1426.94             1       -0.0424      0.752674
    35           1426.77             1       -0.0725      0.293242
    36           1426.53             1        -0.109      0.186694
    37           1426.52          0.02        -0.324     0.0799917
    38           1425.96             1        -0.269     0.0799917
    39           1422.52             1         -1.56     0.0266639
    40           1406.11        0.0864      5.41e+05     0.0138938
    41           1399.78        0.0333           -90     0.0138938
    42           1391.54         0.024          -168     0.0138938
    43           1362.24        0.0624          -228     0.0138938
    44           1013.17             1         -35.6     0.0138938
    45           1013.11       0.00171           3.8    0.00463126
    46           1257.19         0.142       3.8e+03    0.00463126
    47           1252.17         0.269      1.94e+03    0.00926252
    48           1807.34         0.936      1.69e+04     0.0370501
    49           1010.95        0.0727         -14.2      0.296401
    50           1008.44        0.0995         -11.9      0.296401
    51            997.64             1        -0.544      0.296401
    52           1000.14             1          5.81     0.0988002
    53             997.5             1         0.292        0.1976
    54           997.294             1       -0.0357      0.199235
    55           995.552        0.0746         -10.4      0.129864
    56           995.316        0.0109         -10.6      0.129864
    57           1118.61             1           313      0.129864
    58           1004.63             1          30.8      0.259728
    59            988.04             1         0.472       1.03891
    60           985.926             1        -0.128      0.801729
    61           985.432             1       -0.0861       0.65076
    62           985.189             1       -0.0731      0.621135
    63           985.054             1        -0.049      0.544409
    64           984.958             1       -0.0369      0.461474
    65           984.884             1        -0.029      0.373823
    66           984.824             1       -0.0232      0.297457
    67           984.776             1       -0.0183      0.236683
    68           984.737             1        -0.014      0.190837
    69           984.706             1       -0.0105        0.1573
    70           984.685             1      -0.00638      0.132398
    71           984.672             1      -0.00356      0.109474
    72           984.661             1      -0.00273     0.0941597
    73           984.652             1      -0.00218     0.0802876
    74           984.644             1      -0.00195     0.0684727
    75           984.638             1      -0.00181     0.0572403
    76           984.632             1      -0.00174     0.0467684
    77           984.626             1      -0.00175     0.0371412
    78           984.621             1      -0.00171     0.0281146
    79           984.616             1       -0.0019     0.0210473
    80            984.61             1      -0.00175     0.0139666
    81           984.606             1      -0.00165     0.0103141
    82           984.605         0.247      -0.00212    0.00698412
    83           984.603         0.312      -0.00185    0.00698412
    84           984.601             1      -0.00124    0.00698412
    85           984.595             1      -0.00231    0.00232804
    86           984.591             1      -0.00188    0.00152814
    87           984.587             1      -0.00161   0.000964321
    88           984.584             1      -0.00138   0.000609209
    89           984.581             1      -0.00119   0.000384916
    90           984.579             1      -0.00102   0.000243224
    91           984.577             1     -0.000875   0.000153703
    92           984.575             1      -0.00075   9.71358e-05
    93           984.573             1     -0.000644   6.13899e-05
    94           984.573         0.259      -0.00069   3.87998e-05
    95           984.572             1     -0.000483   3.87998e-05
    96           984.571             1     -0.000463   2.26983e-05
    97            984.57          0.64     -0.000441   1.43663e-05
    98            984.57         0.989     -0.000287   1.43663e-05
    99           984.569             1     -0.000193   1.43663e-05
   100           984.568             1     -0.000296   5.83721e-06
   101           984.568             1     -0.000252   3.70598e-06
   102           984.567             1     -0.000217    2.3423e-06
   103           984.567        0.0625     -0.000247   1.48065e-06
   104           984.567             1      -0.00018   1.48065e-06
   105           984.567             1     -0.000159   9.18868e-07
   106           984.566             1     -0.000136   5.81055e-07
   107           984.566             1     -0.000117   3.67292e-07
   108           984.566             1       -0.0001   2.32199e-07
   109           984.566             1      -8.6e-05   1.46785e-07
   110           984.565             1     -7.38e-05   9.27864e-08
   111           984.565             1     -6.34e-05   5.86635e-08
   112           984.565             1     -5.44e-05   3.70801e-08
   113           984.565             1     -4.67e-05   2.34406e-08
   114           984.565             1     -4.01e-05   1.48179e-08
   115           984.565             1     -3.44e-05   9.36981e-09
   116           984.565             1     -2.95e-05   5.91918e-09
   117           984.565             1     -2.53e-05   3.74384e-09
   118           984.565             1     -2.17e-05   2.36781e-09
   119           984.565             1     -1.87e-05   1.49499e-09

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            144018
     1            144013      1.72e-05      -1.4e+05       6.23877
     2            144006      2.47e-05      -1.4e+05       6.23877
     3            144003      1.01e-05      -1.4e+05       6.23877
     4            143998      1.79e-05      -1.4e+05       6.23877
     5            143993      1.78e-05      -1.4e+05       6.23877
     6            143986      2.79e-05      -1.4e+05       6.23877
     7            143308       0.00242      -1.4e+05       6.23877
     8            141778       0.00548      -1.4e+05       6.23877
     9            130865        0.0389     -1.42e+05       6.23877
    10            130659      0.000812     -1.27e+05       6.23877
    11            128277        0.0094     -1.27e+05       6.23877
    12           36585.9         0.353     -1.67e+05       6.23877
    13           9220.35         0.496     -2.51e+04       6.23877
    14           2204.41         0.888     -1.39e+03       6.23877
    15           1649.94         0.604          -261       6.23877
    16            1443.4             1         -27.3       6.23877
    17           1426.35             1         -1.53       2.07959
    18              1419             1         -1.88       1.63079
    19            1416.7             1        -0.543      0.670111
    20           1416.18          0.31          -0.7      0.594738
    21           1415.27             1        -0.301      0.594738
    22           1416.16             1          65.5       0.28668
    23            1401.5             1         -3.94       0.57336
    24           1754.19         0.709      5.68e+03      0.316885
    25           1406.86             1          56.6      0.633769
    26           1396.96             1         -1.36       2.53508
    27           1395.15         0.419            -2      0.845025
    28           1419.56             1           114      0.845025
    29           1393.06             1         0.713       1.69005
    30           1392.76             1          5.81       1.15464
    31           1389.06             1        -0.302       1.82796
    32           1388.39             1        -0.237       0.60932
    33           1390.77         0.575          10.1      0.480133
    34           1386.39         0.439           137      0.960266
    35           1391.82             1          22.2      0.960266
    36           1379.56             1          1.67       1.92053
    37           1377.37             1        -0.421       1.59571
    38           1376.07             1        -0.442       1.41723
    39           1374.89             1        -0.212      0.684156
    40           1373.24             1        -0.351      0.670238
    41           1370.87             1        -0.774      0.665937
    42           1367.91             1         -1.15      0.630182
    43           1362.98             1          -2.2      0.493482
    44           1354.92         0.428         -9.21      0.269515
    45           1312.65             1         -20.5      0.269515
    46           1252.88          0.15          -190     0.0898382
    47           1214.67        0.0828          -222     0.0898382
    48            977.28             1         -17.7     0.0898382
    49           982.567             1          10.3     0.0299461
    50           978.735             1          4.41     0.0598921
    51           975.067             1         0.061      0.239569
    52           974.517             1        -0.124      0.224766
    53           974.367             1       -0.0489       0.20021
    54           974.281             1       -0.0321      0.183062
    55           974.224         0.835        0.0197      0.145298
    56           975.477             1          2.63      0.145298
    57           974.235             1        0.0926      0.290596
    58           974.181             1      -0.00645       1.16239
    59           974.181             1        0.0318      0.387462
    60           974.171             1       -0.0032      0.774924
    61           974.161             1       0.00202      0.510298
    62           974.147             1      -0.00246      0.506029
    63           974.136             1      -0.00021      0.442266
    64           974.125             1      -0.00154       0.42675
    65           974.116             1     -0.000647       0.38727
    66           974.108             1      -0.00117      0.366742
    67             974.1             1     -0.000787       0.33443
    68           974.093             1      -0.00101      0.311559
    69           974.087             1     -0.000815      0.282982
    70           974.081             1     -0.000917      0.260066
    71           974.076             1     -0.000808      0.234668
    72           974.071             1     -0.000862      0.213123
    73           974.066             1     -0.000798      0.190768
    74           974.062             1     -0.000833      0.171238
    75           974.057             1     -0.000798      0.151716
    76           974.053             1     -0.000829      0.134362
    77           974.049             1     -0.000816      0.117387
    78           974.045             1     -0.000852      0.102144
    79           974.042             1      -0.00086     0.0874446
    80           974.038             1     -0.000909     0.0742142
    81           974.034             1      -0.00094     0.0616355
    82           974.031             1      -0.00101     0.0504262
    83           974.027             1      -0.00107     0.0400211
    84           974.023             1      -0.00117     0.0310346
    85           974.019             1      -0.00127     0.0230654
    86           974.015             1      -0.00142     0.0166089
    87           974.011             1      -0.00156     0.0113226
    88           974.007             1      -0.00171    0.00745881
    89           974.002             1      -0.00183    0.00465673
    90           973.998             1      -0.00185    0.00285672
    91           973.994             1      -0.00174     0.0017241
    92           973.991             1      -0.00117    0.00104819
    93           973.989             1      -0.00109   0.000500007
    94           973.986             1       -0.0011   0.000247462
    95           973.984             1      -0.00107   0.000139421

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           82376.7
     1           71102.1        0.0851     -3.12e+04      0.226711
     2           71099.9      1.67e-05     -6.83e+04      0.226711
     3           69284.3        0.0134     -6.68e+04      0.226711
     4             66844        0.0186     -6.49e+04      0.226711
     5           56213.2        0.0857     -6.06e+04      0.226711
     6           34417.9          0.21     -4.98e+04      0.226711
     7           22246.3         0.181     -3.26e+04      0.226711
     8           22084.7       0.00392     -2.07e+04      0.226711
     9           7933.91         0.248      -3.6e+04      0.226711
    10           5487.87         0.167     -8.53e+03      0.226711
    11           5177.98        0.0396     -4.02e+03      0.226711
    12           1876.45         0.404     -1.53e+03      0.226711
    13           1673.27         0.924         -25.9      0.226711
    14           1652.65             1          7.29      0.226711
    15           1651.05             1          3.47     0.0924422
    16           1649.39         0.452         -1.74     0.0890299
    17           1647.46             1         0.213     0.0890299
    18           1643.29         0.941         -6.02     0.0296766
    19           1655.62         0.866           133     0.0296766
    20           1659.39         0.943           149     0.0593533
    21           1639.83             1          5.46      0.237413
    22           1637.29         0.165         -7.83     0.0791377
    23           1636.67             1        0.0572     0.0791377
    24           1595.93             1         -3.56     0.0577225
    25           1582.25             1         -2.25     0.0492773
    26           1581.01         0.424         0.649     0.0189507
    27            1579.7             1       -0.0689     0.0189507
    28           1577.05         0.834          -136    0.00631689
    29            1557.1        0.0533     -1.23e+03    0.00631689
    30           1587.33         0.503           354    0.00631689
    31           1541.76             1           433     0.0126338
    32           1433.45         0.621          14.6      0.018352
    33           1430.28             1        0.0123      0.018352
    34           1429.56             1         0.272    0.00611734
    35           1429.49             1        0.0957    0.00608557
    36           1428.94        0.0529         -5.17    0.00608636
    37           1428.89        0.0365        -0.588    0.00608636
    38           1428.69             1         0.121    0.00608636
    39           1428.66             1        0.0514    0.00608595
    40           1416.58             1        -0.803    0.00612185
    41           1418.05             1           3.3    0.00515411
    42           1429.65           0.3          81.7     0.0103082
    43           1429.44         0.553            43     0.0412329
    44            1413.4             1          1.41      0.329863
    45           1412.15             1        -0.237      0.328046
    46           1411.94             1       -0.0581      0.247017
    47           1409.38             1         -1.29      0.226399
    48           1404.99         0.133         -18.1     0.0754664
    49           1418.52             1          62.3     0.0754664
    50           1418.83             1          64.6      0.150933
    51           1405.48             1          14.1      0.603731
    52           1402.62             1        -0.759       4.82985
    53           1398.96             1         0.616       1.60995
    54           1397.13             1        -0.394       1.41322
    55           1395.33         0.885        -0.687      0.471074
    56           1393.86             1        -0.501      0.471074
    57           1392.99             1        -0.209      0.304116
    58           1392.79             1       -0.0468      0.207907
    59           1390.51        0.0865         -12.9     0.0916191
    60            1389.7             1        0.0851     0.0916191
    61           1388.67         0.634            38     0.0492227
    62           1385.12             1       -0.0673     0.0492227
    63           1385.16             1         0.205     0.0164076
    64           1385.12             1         0.104     0.0328152
    65           1382.67             1        -0.378      0.060165
    66            1381.4         0.073         -8.04     0.0581942
    67           1505.48          0.27      1.75e+03     0.0581942
    68            1427.7         0.463           324      0.116388
    69           1379.47         0.774          2.54      0.465554
    70           1400.15             1          57.6      0.465554
    71           1378.57             1         0.618      0.931108
    72           1381.59         0.551          11.2      0.925291
    73           1379.05         0.842          1.98       1.85058
    74            1377.9             1        -0.111       7.40233
    75           1378.33         0.803          1.41       2.46744
    76           1377.85             1        0.0857       4.93489
    77            1377.8         0.726          0.16       4.98759
    78            1378.7             1          2.18       4.98759
    79           1377.61             1        0.0149       9.97518
    80           1377.61             1         0.333       9.49782
    81           1377.42             1       -0.0526       18.9956
    82           1377.89             1          1.25       7.87014
    83           1377.33             1        0.0249       15.7403
    84           1377.21             1        0.0134       15.4868
    85           1377.06             1       -0.0208        14.989
    86           1376.95             1       -0.0224       12.4089
    87           1376.86             1       -0.0224       9.41369
    88            1376.8             1       -0.0155       5.94034
    89           1376.76             1       -0.0114       3.40856
    90           1376.73             1      -0.00881       1.14531
    91           1376.73        0.0536       -0.0135      0.389435
    92           1376.73             1      8.02e-06      0.389435
    93            1403.6             1          51.6      0.372278
    94           1378.49             1          3.53      0.744556
    95           1376.72             1       0.00704       2.97822
    96            1376.7             1      -0.00479       2.97811
    97           1376.69             1       0.00172       1.86555
    98           1376.68             1      -0.00519       1.84771
    99           1376.67             1       0.00338       1.01385
   100           1376.65             1       -0.0059       1.01211
   101           1376.65             1        0.0436      0.451962
   102           1376.64             1      -0.00367      0.903925
   103           1376.62             1       0.00239      0.645086
   104           1376.61             1      -0.00268      0.641196
   105           1376.59             1     -0.000293          0.59
   106           1376.57          0.54      -0.00921      0.574446
   107           1376.57             1     -0.000101      0.574446

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            235657
     1            194570        0.0821     -2.87e+05       1.03621
     2            172621        0.0593     -1.79e+05       1.03621
     3            103769          0.23     -1.29e+05       1.03621
     4           16160.7           0.4     -8.76e+04       1.03621
     5           2703.66         0.409     -7.54e+03       1.03621
     6           2654.67        0.0733      1.87e+06       1.03621
     7           1607.15         0.415          -945       1.03621
     8           2986.46             1      1.04e+04       1.03621
     9           1875.77             1      2.03e+03       2.07242
    10              1467             1           131       8.28967
    11           1404.33             1          5.62       5.90065
    12           1403.92        0.0528         -3.77       2.26507
    13           1400.18             1        -0.265       2.26507
    14           1399.53             1         -0.24      0.755022
    15           1398.68             1         -0.11      0.314662
    16           1397.94             1         -0.27      0.313886
    17           1391.19             1         -1.25      0.131604
    18           1389.89         0.146          -4.2     0.0553844
    19           1388.51         0.102          -6.5     0.0553844
    20           1383.94         0.247         -6.93     0.0553844
    21           1379.75        0.0708         -24.9     0.0553844
    22           1376.43        0.0282         -53.7     0.0553844
    23           1324.97         0.692         -36.5     0.0553844
    24           1301.53         0.042          -253     0.0553844
    25           1062.74             1         -7.57     0.0553844
    26           1036.05          0.24           -45     0.0458082
    27           993.502             1          -2.8     0.0458082
    28           1001.91             1          19.9     0.0152694
    29           993.828             1          2.03     0.0305388
    30           992.685             1       -0.0797      0.122155
    31           992.401             1       -0.0249       0.10956
    32           3041.28             1      8.71e+03      0.109242
    33            1293.5             1           686      0.218484
    34           1000.45             1          16.7      0.873937
    35           991.493             1        -0.224        6.9915
    36           990.908             1          0.38        2.3305
    37           989.859             1        -0.153       2.33344
    38           988.912             1        -0.222         2.272
    39           988.126             1        -0.226       2.11484
    40           987.487             1        -0.207       1.89017
    41           986.971             1         -0.18       1.62869
    42           986.555             1        -0.152       1.36174
    43           986.216             1        -0.128       1.11049
    44            985.94             1        -0.107      0.887921
    45           985.714             1        -0.088      0.700268
    46            985.53             1       -0.0718      0.548287
    47           985.383             1       -0.0577      0.428629
    48           985.266             1       -0.0456      0.335721
    49           985.175             1       -0.0355      0.263718
    50           985.105             1       -0.0274      0.207689
    51           985.056             1       -0.0199       0.16386
    52           985.027             1       -0.0121      0.121471
    53           985.001             1       -0.0109     0.0656404
    54           984.981             1      -0.00851     0.0413364
    55           984.964             1      -0.00704     0.0249864
    56            984.97             1         0.031     0.0156444
    57            984.96             1       0.00227     0.0312888
    58           986.881             1          3.37     0.0312887
    59           985.197             1         0.424     0.0625773
    60           984.958             1       0.00115      0.250309
    61           984.955             1     -0.000445      0.250879
    62           984.953             1     -0.000966     0.0836262
    63           984.948             1      -0.00234     0.0278754
    64           984.903             1      -0.00821     0.0092918
    65           1437.07         0.653      3.15e+03    0.00774132
    66           1437.06         0.946      2.17e+03     0.0154826
    67           986.297             1          3.17     0.0619305
    68           984.891             1      -0.00272      0.495444
    69           984.886             1      0.000415      0.165148
    70           984.875             1      -0.00436      0.162601
    71           984.844             1       -0.0138     0.0542004
    72           986.593             1          3.29     0.0180668
    73           985.063             1         0.505     0.0361336
    74           984.823             1       -0.0067      0.144535
    75           984.781             1       -0.0169      0.105049
    76            984.78             1         0.153     0.0494697
    77           985.966             1          2.98     0.0964009
    78           984.646             1        0.0375      0.192802
    79           984.389             1       -0.0901      0.191592
    80           983.589             1        -0.359      0.063864
    81           982.491             1          0.74      0.021288
    82           1454.76          0.44      5.33e+03     0.0207356
    83           1454.11         0.744      3.17e+03     0.0414712
    84           983.249             1          2.85      0.165885
    85           981.677             1       -0.0315       1.32708
    86           981.586       0.00422         -10.7       0.44236
    87           976.518         0.239         -10.8       0.44236
    88            974.44             1        -0.311       0.44236
    89           974.311        0.0976        -0.642      0.147453
    90           974.112             1        0.0767      0.147453
    91           974.107             1        0.0753      0.126867
    92           974.033             1      -0.00473      0.218873
    93           974.031             1       0.00033     0.0729577
    94           974.039             1        0.0151     0.0699353
    95           974.031             1       0.00112      0.139871
    96           974.031             1     -1.52e-05      0.559483

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             28563
     1           28561.9      2.06e-05     -2.69e+04      0.224685
     2           28560.2      3.19e-05     -2.69e+04      0.224685
     3           28558.6      2.95e-05     -2.69e+04      0.224685
     4           28557.8      1.43e-05     -2.69e+04      0.224685
     5           28553.3       8.4e-05     -2.69e+04      0.224685
     6           28550.9      4.34e-05     -2.69e+04      0.224685
     7           28539.6       0.00021     -2.69e+04      0.224685
     8           27319.5        0.0221     -2.83e+04      0.224685
     9           23863.3        0.0518        -4e+04      0.224685
    10           23467.1       0.00847     -2.47e+04      0.224685
    11           23229.1        0.0053     -2.32e+04      0.224685
    12           18106.3        0.0735     -5.43e+04      0.224685
    13           13553.9        0.0885      -3.9e+04      0.224685
    14           10705.3        0.0883     -2.13e+04      0.224685
    15           8944.85         0.096      2.75e+05      0.224685
    16           5356.18         0.204     -1.01e+04      0.224685
    17           2919.19         0.298     -3.96e+03      0.224685
    18           2402.66         0.163     -1.78e+03      0.224685
    19           6360.96          0.39      6.12e+05      0.224685
    20           2176.62         0.397       6.4e+03      0.449371
    21           1769.95          0.43          -294      0.449371
    22           1597.94         0.551            18      0.449371
    23           1906.25         0.907      3.71e+03      0.449371
    24           1578.59             1          25.1      0.898742
    25           1570.32             1          3.83      0.880213
    26           1568.26         0.589            85      0.646616
    27           1544.79             1          1.18      0.646616
    28           1510.53             1          1.66      0.215539
    29           1505.82             1          7.14      0.166524
    30           1503.48             1         0.217      0.153093
    31           1540.14             1          72.8     0.0647862
    32            1534.5             1          59.8      0.129572
    33           1497.51         0.903          8.89       0.51829
    34           1489.96             1       -0.0669       0.51829
    35           1489.52             1       -0.0392      0.172763
    36           1489.11             1        -0.195     0.0620153
    37           1481.97         0.435         -6.33     0.0206718
    38           1477.56             1          2.23     0.0206718
    39           1471.68         0.266          19.9     0.0206457
    40           1465.97         0.242         -11.7     0.0206457
    41           3824.86         0.966      1.61e+05     0.0206457
    42           1463.44             1          1.93     0.0412914
    43           1461.19         0.267         -1.85     0.0412913
    44           3948.26         0.675      1.19e+05     0.0412913
    45           1511.57             1           387     0.0825827
    46           1460.55             1       -0.0312      0.330331
    47           1460.38             1         0.499      0.258527
    48           1461.38             1           3.6       0.28069
    49           1460.08             1          0.33       0.56138
    50           1459.72             1        0.0901      0.592993
    51           1459.65             1         0.319      0.572169
    52           1459.47         0.374        -0.184       0.69648
    53           1459.36             1      -0.00851       0.69648
    54           1459.25             1       -0.0302       0.23216
    55           1462.89             1           5.2     0.0773867
    56           1445.81          0.12         -55.3      0.154773
    57           1437.04        0.0642         -68.7      0.154773
    58           1415.21         0.174         -59.7      0.154773
    59           1406.76         0.408          -5.2      0.154773
    60           1401.27             1         0.163      0.154773
    61            1400.1             1         0.572      0.139749
    62            1399.4             1       -0.0383      0.139749
    63           1403.89             1          18.9     0.0751446
    64           1463.99         0.914           228      0.150289
    65           1399.46             1          3.14      0.601157
    66           1398.04             1        -0.238       4.80925
    67           1397.51             1       -0.0259       1.76642
    68           1397.19             1       -0.0959       1.39371
    69           1397.16             1         0.188      0.464571
    70           1397.02             1       -0.0235      0.564904
    71              1397             1      -0.00667      0.223376
    72           1396.99             1      -0.00115     0.0744586
    73           1396.98         0.123      -0.00285     0.0549374
    74           1396.98             1       0.00082     0.0549374
    75            1397.2             1         0.403     0.0549116
    76           1397.02             1        0.0724      0.109823
    77           1396.98             1     -0.000102      0.439293
    78           1396.98             1     -0.000168      0.419883
    79           1396.98             1     -0.000378      0.139961
    80           1396.98             1     -0.000852     0.0466537
    81           1396.98             1       0.00722     0.0197966
    82           1396.98             1       0.00237     0.0395932
    83           1396.98             1     -7.52e-05      0.158373
    84           1396.98             1      5.41e-05      0.146932
    85           1396.98         0.368     -0.000164      0.146846
    86           1396.98             1     -0.000203      0.146846
    87           1396.97             1     -0.000531     0.0489487
    88           1396.97             1     -0.000514     0.0163162
    89           1397.38             1         0.867     0.0144829
    90           1397.13             1         0.322     0.0289658
    91           1396.98             1        0.0123      0.115863
    92           1396.97             1     -8.34e-05      0.926906

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           17227.7
     1           17180.6       0.00156     -1.53e+04      0.238379
     2           17141.5       0.00131     -1.52e+04      0.238379
     3           17130.1      0.000383     -1.49e+04      0.238379
     4           16809.9        0.0098      -1.8e+04      0.238379
     5             16762       0.00162      -1.5e+04      0.238379
     6           16450.8       0.00984     -1.72e+04      0.238379
     7           16166.7       0.00951     -1.57e+04      0.238379
     8           16079.9       0.00309     -1.43e+04      0.238379
     9           15688.1        0.0134     -1.54e+04      0.238379
    10           15351.2        0.0122     -1.43e+04      0.238379
    11           15010.7         0.013     -1.36e+04      0.238379
    12           14361.4        0.0246     -1.45e+04      0.238379
    13           12852.5        0.0462     -2.37e+04      0.238379
    14           11776.2        0.0396     -1.76e+04      0.238379
    15           11428.2        0.0165     -1.12e+04      0.238379
    16           11062.3        0.0181     -1.06e+04      0.238379
    17           9406.64        0.0672     -1.68e+04      0.238379
    18           7897.62          0.11      2.31e+04      0.238379
    19           7036.56        0.0612      -7.8e+03      0.238379
    20            3327.4         0.271      1.66e+03      0.238379
    21           2884.03         0.356      5.51e+03      0.238379
    22           2554.71         0.214          -844      0.238379
    23           2167.82         0.421          -337      0.238379
    24           2022.16         0.722           498      0.238379
    25           2003.26             1            83      0.238379
    26            2166.5         0.589      2.76e+03      0.238559
    27           2144.06         0.519      3.54e+03      0.477118
    28           2221.57         0.922      2.26e+03       1.90847
    29           1890.41             1         -16.6       15.2678
    30            1687.5             1          26.7       5.08926
    31           1687.47      9.29e-05          -175       5.08361
    32           1553.42         0.628         -67.1       5.08361
    33           1506.65             1         -10.7       5.08361
    34           1493.64             1         -3.55       2.96586
    35           1486.03             1         -2.31        2.7814
    36           1456.51         0.479         -18.6       1.86298
    37           1434.97             1         -3.21       1.86298
    38           1420.57             1          23.3      0.620993
    39           1785.78         0.657      2.74e+03      0.206998
    40           1649.82         0.963           980      0.413995
    41           1417.38             1          21.7       1.65598
    42           1406.02         0.949         -1.66       2.01795
    43           1405.18             1        -0.194       2.01795
    44           1403.26             1        -0.519       1.08468
    45           1403.17        0.0419         -1.06      0.766572
    46           1401.77             1        -0.482      0.766572
    47           1398.36        0.0989         -15.6      0.527453
    48           1394.53         0.125         -13.4      0.527453
    49           1384.71             1         -2.06      0.527453
    50           1380.18             1         -1.17      0.506986
    51           1378.42             1        -0.482      0.471781
    52           1377.83             1        -0.166      0.435015
    53           1377.64             1       -0.0613      0.368935
    54           1379.02             1          2.82      0.265732
    55           1375.09             1        -0.734      0.531463
    56           1372.89             1        -0.499      0.366656
    57            1372.4             1       -0.0686      0.129791
    58           1372.32             1        0.0227     0.0950939
    59           1372.32      1.17e-05         -5.45     0.0945695
    60           1372.29         0.239       -0.0465     0.0945695
    61           1372.25             1       -0.0094     0.0945695
    62           1372.22             1       0.00399     0.0828765
    63           1372.18             1       -0.0178     0.0827644
    64           1373.06             1          7.43     0.0431906
    65           1372.12             1       -0.0288     0.0863812
    66           1666.54         0.524      1.74e+04     0.0287937
    67           1430.52             1           913     0.0575875
    68           1372.07             1       -0.0208       0.23035
    69           1391.28             1           168     0.0767833
    70           1372.03             1         0.088      0.153567
    71           1373.77             1          6.61      0.152445
    72           1371.93             1       0.00548      0.304891
    73           1372.29             1          1.25      0.252587
    74           1371.84             1       -0.0186      0.505173
    75           1372.28             1          1.34       0.29571
    76           1371.79             1     -0.000804       0.59142
    77           1371.78             1         0.103      0.515896
    78           1371.68             1      -0.00897      0.751252
    79            1371.7             1         0.124      0.612859
    80           1371.64             1       -0.0141       1.22572
    81           1371.83             1         0.522      0.496148
    82           1371.62             1       0.00533      0.992296
    83           1371.59             1       0.00428      0.979856
    84           1371.57             1       0.00672      0.965098
    85           1371.55             1       0.00633      0.961207
    86           1371.52             1       0.00549       0.95758
    87           1371.51             1       0.00414      0.953652
    88           1371.49             1       0.00285      0.947686
    89           1371.47             1       0.00179      0.938444
    90           1371.46             1         0.001      0.924668
    91           1371.45             1      0.000462      0.905678
    92           1371.44             1      0.000102      0.881321
    93           1371.43             1     -0.000131      0.852064
    94           1371.42             1     -0.000278      0.818786
    95           1371.41             1     -0.000368      0.782607
    96           1371.41             1     -0.000422      0.744663
    97            1371.4             1     -0.000452      0.705976
    98           1371.39             1     -0.000467      0.667377
    99           1371.39             1     -0.000471      0.629496
   100           1371.38             1     -0.000468      0.592779
   101           1371.38             1     -0.000461       0.55752
   102           1371.37             1     -0.000452      0.523894
   103           1371.37             1      -0.00044      0.491991
   104           1371.36             1     -0.000427      0.461835
   105           1371.36             1     -0.000413      0.433411
   106           1371.35             1     -0.000398      0.406671
   107           1371.35             1     -0.000384      0.381551
   108           1371.34             1      -0.00037      0.357973
   109           1371.34             1     -0.000355      0.335855
   110           1371.34             1     -0.000341      0.315111
   111           1371.33             1     -0.000328      0.295656
   112           1371.33             1     -0.000315      0.277407
   113           1371.33             1     -0.000302      0.260285
   114           1371.32             1      -0.00029      0.244212
   115           1371.32             1     -0.000278      0.229119
   116           1371.32             1     -0.000267      0.214936
   117           1371.32             1     -0.000256      0.201603
   118           1371.31             1     -0.000246      0.189061
   119           1371.31             1     -0.000237      0.177256
   120           1371.31             1     -0.000227       0.16614
   121           1371.31             1     -0.000219      0.155667
   122            1371.3             1     -0.000215      0.145795
   123            1371.3             1     -0.000209      0.136378
   124            1371.3         0.166      -0.00136      0.127461
   125            1371.3             1     -0.000576      0.127461
   126            1371.3             1      -0.00131     0.0424868
   127           1371.29             1      -0.00149     0.0254011
   128           1371.29             1      -0.00135     0.0182038
   129           1371.29             1      -0.00107     0.0138685
   130           1371.29             1     -0.000554     0.0111355
   131           1371.28             1      0.000829     0.0104059
   132           1371.29             1       0.00443     0.0109648
   133           1371.29             1       0.00397     0.0219296
   134           1371.28             1       0.00184     0.0877185
   135           1371.28             1      0.000916      0.150858
   136           1371.28             1      0.000305      0.163445
   137           1371.28             1      7.78e-05      0.168303
   138           1371.28             1      4.34e-06      0.168738
   139           1371.28             1     -1.88e-05      0.167681

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            386210
     1            386201      1.24e-05     -3.79e+05      0.561698
     2            386026      0.000231     -3.79e+05      0.561698
     3            380567       0.00716     -3.84e+05      0.561698
     4            380102      0.000623     -3.74e+05      0.561698
     5            359316        0.0252     -4.59e+05      0.561698
     6            307925        0.0666     -3.09e+05      0.561698
     7            249993        0.0703     -5.57e+05      0.561698
     8            206938        0.0699     -3.87e+05      0.561698
     9            155774        0.0985     -3.28e+05      0.561698
    10            103695         0.135     -2.46e+05      0.561698
    11           85855.2        0.0936     -8.93e+04      0.561698
    12           70471.9        0.0829      -1.1e+05      0.561698
    13             32562         0.217     -1.41e+05      0.561698
    14           3305.44         0.505     -1.83e+03      0.561698
    15           4095.23         0.525      3.86e+04      0.561698
    16           4322.99         0.657      2.97e+04        1.1234
    17           2552.36             1      2.12e+03       4.49359
    18           5115.33             1      1.28e+04       4.43573
    19           3298.91             1      4.86e+03       8.87146
    20            2328.8             1      1.36e+03       35.4858
    21            1834.1             1          6.65       38.0058
    22           1782.74             1         -16.6        18.944
    23           1767.02          0.29         -27.1       6.31468
    24           1708.44             1         -37.3       6.31468
    25              1615         0.622      1.64e+03       2.10489
    26           1599.95        0.0501          -149       2.10489
    27           1479.57         0.576      1.11e+03       2.10489
    28           1444.29         0.587         -19.8       2.10489
    29           1435.84         0.336           -11       2.10489
    30           1440.17             1          51.7       2.10489
    31           1427.33             1        -0.936       4.20979
    32           1922.14         0.952      2.94e+03       1.40326
    33           1424.88             1          9.39       2.80653
    34           1424.15        0.0182           -20       3.06953
    35           1402.93         0.845         -6.87       3.06953
    36           1395.54             1         -1.29       3.06953
    37            1391.3             1         -1.25       2.78974
    38           1387.95             1        -0.961       2.07423
    39           1386.45             1        -0.502       1.31795
    40           1384.81             1        -0.641      0.861301
    41           1384.79       0.00808         -1.08      0.623735
    42           1383.01             1        -0.723      0.623735
    43           1379.76             1         -1.29      0.397783
    44           1377.39         0.366         -2.51      0.200717
    45           1378.13             1          2.28      0.200717
    46           1376.63             1         0.191      0.401435
    47           1376.61             1          1.16      0.401435
    48           1375.35         0.829        -0.343      0.759631
    49           1375.02             1       -0.0586      0.759631
    50           1374.97             1       -0.0139       0.25321
    51           1372.38         0.152          -8.4       0.17587
    52           1371.54             1       -0.0991       0.17587
    53           1371.42             1        0.0406     0.0586233
    54           1371.39         0.751       0.00804     0.0571714
    55           1371.34             1      -0.00465     0.0571714
    56           1371.33             1      -0.00153     0.0238286
    57           1371.33             1       0.00635      0.023742
    58           1371.33             1        0.0218     0.0280532
    59           1371.33             1        0.0156     0.0561064
    60           1371.32             1        0.0024      0.224426
    61           1371.32             1       0.00012      0.224577
    62           1371.32             1     -0.000169      0.223911
    63           1371.32             1     -0.000268      0.168593

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            348422
     1            348392      4.43e-05     -3.43e+05       2.18826
     2            347745      0.000942     -3.44e+05       2.18826
     3            342545       0.00752      -3.5e+05       2.18826
     4            306035        0.0495     -3.99e+05       2.18826
     5            305758      0.000461     -3.01e+05       2.18826
     6            297652         0.013     -3.24e+05       2.18826
     7            292915       0.00797     -3.04e+05       2.18826
     8            177225         0.127     -7.11e+05       2.18826
     9           97006.1         0.184     -2.71e+05       2.18826
    10           50900.3         0.215     -1.24e+05       2.18826
    11           46322.9        0.0473     -4.81e+04       2.18826
    12           3470.93         0.456     -8.92e+03       2.18826
    13            2501.2         0.376          -383       2.18826
    14           2089.64         0.864      1.04e+04       2.18826
    15           1734.31         0.802           601       2.18826
    16           1579.83             1            52       2.18826
    17           1565.09             1             4      0.938237
    18           1460.83             1         -11.7      0.744023
    19           3264.44         0.734      9.16e+04      0.277943
    20           1476.74             1           139      0.555886
    21           1447.53             1          12.5       2.22354
    22            1438.7             1        -0.452       2.15151
    23           1433.52             1          4.79       1.16286
    24           1432.68          0.45          14.2      0.588569
    25           1424.63             1          -1.3      0.588569
    26            1422.9             1        -0.326      0.415168
    27           1422.79         0.133        -0.386      0.257683
    28           1422.46             1        0.0136      0.257683
    29              1422             1        -0.176      0.257423
    30           1421.05             1        -0.571     0.0858078
    31           1420.41         0.133         -2.69     0.0286026
    32           1420.16             1          0.15     0.0286026
    33           1420.27             1         0.473     0.0286229
    34           1420.21             1         0.367     0.0572457
    35           1420.06             1         0.106      0.228983
    36           1420.04             1        0.0347      0.230135
    37           1431.49          0.27           125      0.244109
    38           1432.03         0.311           113      0.488218
    39           1467.87         0.638           164       1.95287
    40           1416.48             1          2.34        15.623
    41           1411.12             1         -1.69       15.6104
    42            1407.6             1        -0.827       7.13649
    43           1405.82         0.392         -1.92       6.04834
    44            1403.3             1        -0.582       6.04834
    45           1401.33             1        -0.312       5.25398
    46           1397.55             1         -1.33       5.02915
    47           1393.39             1         -1.13       2.88831
    48           1393.39       0.00021         -3.09       2.44551
    49           1389.06             1         -1.55       2.44551
    50           1384.95             1         -1.45       1.64095
    51           1381.89             1        -0.927       1.05861
    52           1380.41             1        -0.419      0.705434
    53           1379.72             1        -0.171      0.590687
    54           1379.25             1        -0.113      0.544705
    55           1379.03         0.334        -0.274      0.501018
    56           1378.81             1       -0.0391      0.501018
    57           1378.62             1       -0.0476      0.474749
    58           1378.46             1       -0.0417      0.421258
    59           1378.31             1       -0.0502      0.372068
    60           1378.12             1       -0.0726      0.296361
    61           1381.37             1          23.1      0.169974
    62           1377.89             1       -0.0916      0.339948
    63           1815.27         0.586      1.48e+04      0.113316
    64              1400             1           162      0.226632
    65           1377.73             1       -0.0735      0.906528
    66           1384.14             1          31.3      0.302176
    67           1377.57             1        0.0588      0.604352
    68           1380.18             1           9.4      0.460096
    69           1377.36             1      -0.00214      0.920192
    70           1377.77             1          1.62      0.731294
    71           1377.17             1       -0.0529       1.46259
    72           1378.44             1          3.75       0.71521
    73           1377.06             1        0.0235       1.43042
    74           1376.98             1          0.11       1.37823
    75            1376.9             1         0.156       1.38525
    76           1376.79             1         0.131       1.43516
    77            1376.7             1         0.118        1.4463
    78            1376.6             1         0.079       1.46103
    79           1376.52             1         0.053       1.46196
    80           1376.45             1        0.0313       1.46199
    81            1376.4             1        0.0175       1.46172
    82           1376.35             1       0.00918       1.45883
    83           1376.32             1       0.00445       1.44955
    84           1376.29             1       0.00181       1.43034
    85           1376.27             1      0.000374       1.39889
    86           1376.25             1     -0.000397       1.35503
    87           1376.23             1       -0.0008       1.30073
    88           1376.21             1        -0.001       1.23916
    89            1376.2             1      -0.00109       1.17366
    90           1376.19             1      -0.00112       1.10702
    91           1376.17             1      -0.00112       1.04124
    92           1376.16             1       -0.0011      0.977566
    93           1376.15             1      -0.00107      0.916729
    94           1376.14             1      -0.00104      0.859072
    95           1376.13             1        -0.001        0.8047
    96           1376.12             1     -0.000965      0.753587
    97           1376.11             1      -0.00093      0.705623
    98            1376.1             1     -0.000895      0.660664
    99           1376.09         0.664      -0.00345      0.618546
   100           1376.08             1       -0.0023      0.618546
   101           1376.07             1      -0.00533      0.206182
   102           1376.05             1      -0.00709      0.105813
   103           1376.04             1      -0.00665     0.0742628
   104           1376.03             1      -0.00529     0.0543858
   105           1376.01             1      -0.00514     0.0326358
   106              1376             1      -0.00501     0.0191998
   107           1375.99             1      -0.00446     0.0118996
   108           1375.98             1      -0.00381    0.00748162
   109           1375.98             1      -0.00271    0.00503684
   110           1375.97             1     -0.000621    0.00379857
   111           1375.97             1       0.00534    0.00371864
   112           1375.98             1        0.0237    0.00672267
   113           1375.98             1        0.0218     0.0134453
   114           1375.97             1        0.0131     0.0537813
   115           1375.97             1     -0.000118      0.430251
   116           1375.97             1     -6.68e-05      0.422064
   117           1375.97             1     -4.97e-05      0.140688
   118           1375.97             1     -7.55e-05     0.0682669
   119           1375.97             1     -0.000217     0.0227556

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           84310.9
     1           84308.8      1.31e-05     -8.16e+04      0.236736
     2           84305.4      2.06e-05     -8.16e+04      0.236736
     3           68081.5        0.0965     -8.86e+04      0.236736
     4             60384        0.0621     -6.01e+04      0.236736
     5           58929.1        0.0127     -5.67e+04      0.236736
     6             58774       0.00137     -5.66e+04      0.236736
     7           57213.7         0.014     -5.48e+04      0.236736
     8           50782.8        0.0619     -5.02e+04      0.236736
     9           42467.4        0.0938     -4.11e+04      0.236736
    10           39125.4        0.0401     -4.28e+04      0.236736
    11           38443.5        0.0091     -3.77e+04      0.236736
    12           37345.6        0.0149     -3.71e+04      0.236736
    13           33781.1        0.0495     -3.64e+04      0.236736
    14           26493.4         0.118     -2.97e+04      0.236736
    15           13309.1         0.394     -1.06e+04      0.236736
    16           12251.8         0.051     -9.14e+03      0.236736
    17           10447.2          0.12     -5.35e+03      0.236736
    18            8640.6         0.174     -3.08e+03      0.236736
    19           8389.53         0.019     -6.06e+03      0.236736
    20           5681.15         0.996          -300      0.236736
    21           2418.49         0.765          -543      0.236736
    22           1348.16             1           191      0.236736
    23           6093.66         0.408      6.01e+06      0.123677
    24           6083.34          0.74      3.07e+06      0.247354
    25           1216.45             1         -19.2      0.989418
    26            6046.6         0.716      1.41e+06      0.594301
    27           1183.96             1         -12.3        1.1886
    28           5923.56         0.424      5.62e+05      0.396201
    29           5917.48         0.549       4.3e+05      0.792401
    30            1172.8             1          23.8       3.16961
    31           1163.89             1        -0.659       1.05654
    32           1163.39             1       -0.0426      0.352178
    33           1163.62             1          5.51      0.117393
    34           1863.62             1      5.07e+03      0.234786
    35           1158.75             1         0.491      0.939142
    36           1154.44             1        0.0276      0.708591
    37           1153.16        0.0875         -6.48      0.595884
    38           1149.71             1          1.28      0.595884
    39           1147.82             1        -0.258      0.543793
    40           1147.05             1        -0.295      0.181264
    41           1138.65             1         -3.78     0.0604214
    42           1675.21         0.374      1.21e+04     0.0201405
    43           1675.82         0.443      1.01e+04      0.040281
    44           1843.47         0.853      6.39e+03      0.161124
    45              1117             1         -9.13       1.28899
    46           1738.18             1      4.24e+03      0.429664
    47           1156.31             1           267      0.859327
    48           1091.45             1         -6.77       3.43731
    49           1082.81             1       -0.0728       2.10344
    50           1079.62             1        -0.922       1.66253
    51           1046.15             1         -1.33      0.554178
    52           1048.03             1          5.55      0.184726
    53           1045.61             1         0.147      0.369452
    54           1045.64             1         0.365      0.340723
    55           1045.41             1       -0.0285      0.681445
    56           1044.14             1        -0.517      0.335133
    57           1269.95             1           688       0.13245
    58           1041.96             1         -1.01        0.2649
    59           1039.29         0.171         -7.32        0.0883
    60           1085.08             1           105        0.0883
    61           1049.63             1          22.3        0.1766
    62           1039.15             1         0.394        0.7064
    63           1038.82             1       -0.0663      0.738632
    64           1033.91             1         -1.88      0.266479
    65           1025.87         0.577         -5.26     0.0954037
    66           1017.07             1         -2.78     0.0954037
    67           1017.09         0.752          26.7     0.0318012
    68           1007.97             1          1.22     0.0636025
    69            1005.9        0.0933         -6.28     0.0212008
    70            1004.8        0.0816         -5.48     0.0212008
    71           999.266         0.882        -0.236     0.0212008
    72           997.398             1         -0.21     0.0212008
    73            997.27             1       0.00809    0.00782998
    74           997.337             1         0.151    0.00341772
    75           997.282             1        0.0386    0.00683544
    76           997.265             1        0.0046     0.0273417
    77           1054.78             1          94.7      0.027341
    78           1033.66             1          60.9     0.0546819
    79           996.072         0.335          0.93      0.218728
    80           1009.17             1          19.9      0.218728
    81           999.086             1          5.28      0.437456
    82           995.149             1         -0.18       1.74982
    83           994.905             1         0.131       1.21543
    84           994.559             1         0.017       1.21648
    85           994.258             1       -0.0146       1.20644
    86           994.008             1       -0.0276        1.1768
    87           993.797             1       -0.0347       1.12799
    88           993.618             1       -0.0377       1.05807
    89           993.465             1       -0.0379      0.968766
    90           993.334             1       -0.0363      0.865974
    91           993.223             1       -0.0336      0.757349
    92           993.129             1         -0.03       0.64907
    93           993.052             1       -0.0262      0.547951
    94           992.988             1       -0.0223      0.457219
    95           992.936             1       -0.0186      0.378197
    96           992.894             1       -0.0152       0.31075
    97           992.861             1       -0.0123      0.253961
    98           992.835             1      -0.00989      0.206561
    99           992.814             1      -0.00792      0.167225
   100           992.798             1      -0.00636       0.13474
   101           992.785             1      -0.00511      0.108041
   102           992.774             1      -0.00414     0.0861917
   103           992.766             1      -0.00337     0.0683713
   104           992.759             1      -0.00278     0.0538739
   105           992.753             1      -0.00233     0.0421034
   106           992.749             1      -0.00179     0.0325643
   107           992.745             1      -0.00154     0.0217187
   108           992.741             1      -0.00172     0.0120374
   109           992.739             1       0.00213    0.00663732
   110           1161.65             1           445     0.0066674
   111           1006.89             1          31.5     0.0133348
   112           992.816             1         0.149     0.0533392
   113           992.737             1     -0.000316      0.426714
   114           992.737             1      0.000483      0.142238
   115           992.737             1      -6.2e-05      0.180978
   116           992.736             1     -0.000172     0.0603259
   117           992.735             1     -0.000495     0.0201086
   118           992.732             1      -0.00119    0.00670288
   119           1012.73             1          44.9    0.00311636
   120           996.144             1          7.24    0.00623272
   121           992.769             1        0.0736     0.0249309
   122           992.732             1     -7.83e-05      0.199447
   123           992.732             1      -7.9e-05      0.162856
   124           992.732             1     -0.000236     0.0542854
   125            992.73             1     -0.000751     0.0180951
   126           992.732             1        0.0106    0.00603171
   127           992.728             1      0.000563     0.0120634
   128           992.728        0.0519       0.00365      0.012021
   129           992.993             1          0.51      0.012021
   130           992.752             1         0.047      0.024042
   131           992.727             1     -0.000316      0.096168
   132           992.726             1     -0.000364     0.0720705
   133           992.725         0.239     -0.000795     0.0450278
   134           992.723             1     -0.000824     0.0450278
   135           992.719             1     -0.000278     0.0150093
   136           998.339             1          11.1     0.0136482
   137           993.235             1          1.01     0.0272965
   138           992.719             1       0.00339      0.109186
   139           992.714             1     -0.000842      0.174761
   140           992.714        0.0865      -0.00219     0.0582535
   141           992.709             1      -0.00222     0.0582535
   142           992.691             1      -0.00914     0.0194178
   143           994.747             1          4.55    0.00647261
   144            992.89             1         0.522     0.0129452
   145           992.673             1      -0.00612     0.0517809
   146           992.808             1         0.353     0.0306233
   147           992.652             1       0.00953     0.0612465
   148            992.59             1       0.00992     0.0612165
   149             992.6         0.987         0.392      0.060573
   150           992.438             1       -0.0487      0.121146
   151           992.279         0.227        -0.348     0.0812565
   152            990.88             1        -0.684     0.0812565
   153           989.322         0.243            31     0.0270855
   154           989.729         0.597          20.5     0.0270855
   155            979.08         0.635          -1.6      0.054171
   156           1415.53         0.849      2.44e+03      0.054171
   157            995.11             1          49.2      0.108342
   158           974.249             1        -0.528      0.433368
   159           974.834             1          1.39      0.144456
   160           974.103             1        0.0107      0.288912
   161            974.05             1      -0.00433      0.256278
   162           974.049             1      0.000573     0.0854259
   163           974.068             1        0.0377     0.0854191
   164           974.049             1       0.00318      0.170838
   165           974.048             1     -0.000122      0.683353

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           47806.5
     1           47805.4       1.2e-05     -4.57e+04       1.03185
     2           47803.7      1.92e-05     -4.57e+04       1.03185
     3             47801       2.9e-05     -4.57e+04       1.03185
     4           47797.6       3.7e-05     -4.57e+04       1.03185
     5           47741.3      0.000614     -4.61e+04       1.03185
     6           39700.5        0.0588     -9.29e+04       1.03185
     7           39286.5       0.00545     -3.84e+04       1.03185
     8           35308.8        0.0489     -4.43e+04       1.03185
     9           33370.2        0.0261     -4.18e+04       1.03185
    10           29781.7        0.0434     -5.48e+04       1.03185
    11           28350.7        0.0223     -3.71e+04       1.03185
    12             28350      1.31e-05     -2.62e+04       1.03185
    13             26529        0.0352     -2.55e+04       1.03185
    14           12472.8         0.153     -9.34e+04       1.03185
    15           10961.5        0.0583     -1.53e+04       1.03185
    16           9797.19        0.0555     -1.17e+04       1.03185
    17           3009.06         0.252     -1.64e+04       1.03185
    18            2959.1         0.478      2.49e+04       1.03185
    19           2467.01         0.631       3.8e+03       1.03185
    20           3841.89         0.758      4.32e+04       1.03185
    21           2845.54         0.488       2.7e+03        2.0637
    22           3056.16             1      2.52e+03       8.25479
    23           1588.47             1         -62.4       66.0383
    24           1500.22             1          7.03       22.0128
    25           1474.52             1          1.82       11.4083
    26           1458.04             1         -3.55       10.5816
    27           1449.77             1          1.24       3.52721
    28           1439.32             1         -3.46       3.36803
    29           1426.24             1        -0.343       1.12268
    30           1424.41         0.117          -7.3      0.743011
    31           1419.45             1        -0.817      0.743011
    32            1418.4             1        -0.101       0.24767
    33           1418.35             1          1.84      0.195811
    34           1433.79             1            59      0.313578
    35           1417.31             1        0.0823      0.627156
    36           1426.54             1            30      0.528995
    37            1416.5             1           0.1       1.05799
    38           1417.93             1          5.88      0.942196
    39           1415.56             1        -0.265       1.88439
    40           1426.93             1          32.4      0.792843
    41           1415.13             1         0.766       1.58569
    42           1414.43             1          1.08       1.59407
    43           1413.13             1         0.488       1.60951
    44           1411.77             1       -0.0535       1.60294
    45           1410.81             1        -0.112       1.44464
    46            1410.2             1         0.112       1.23923
    47           1409.85             1         0.495       1.22371
    48              1410             1          1.41       1.25465
    49           1409.04             1        -0.136        2.5093
    50           1408.84             1         0.352       1.97758
    51           1408.13             1         -0.13       2.10682
    52           1407.34             1          -0.3       1.81452
    53           1406.01             1        -0.563      0.604839
    54           1403.68             1        -0.776      0.201613
    55           1402.01             1          -0.6      0.189094
    56           1400.48             1        -0.571      0.166691
    57           1400.46        0.0143        -0.784      0.148049
    58           1399.25             1        -0.486      0.148049
    59            1397.9             1        -0.487      0.123166
    60            1395.4             1         -1.07      0.108595
    61           1392.71         0.594        -0.493      0.089589
    62           1354.53             1         -18.3      0.089589
    63           1351.97       0.00484          -263     0.0305579
    64           1023.78             1         -64.4     0.0305579
    65           1023.47       0.00622         -23.5      0.010186
    66           1023.41       0.00131         -24.9      0.010186
    67           1021.39        0.0973          6.26      0.010186
    68           1020.36             1          23.2      0.010186
    69           1049.71         0.259           198     0.0178496
    70           1049.45         0.298           175     0.0356993
    71           1048.25         0.541           108      0.142797
    72           1001.76             1         -1.94       1.14238
    73            999.41             1        -0.391      0.605907
    74           998.866             1        -0.204      0.201969
    75           997.325             1         0.862      0.067323
    76           991.777         0.287          8.63     0.0669804
    77           988.272         0.433        -0.504     0.0669804
    78           987.834         0.329          2.88     0.0669804
    79           986.165             1           2.3     0.0669804
    80           1050.92         0.571           194     0.0677086
    81           1050.83         0.919           123      0.135417
    82           984.793             1         0.608      0.541669
    83           983.464             1       -0.0135      0.541665
    84           983.451             1       0.00584      0.180555
    85           983.443             1       0.00162      0.175837
    86           983.442         0.106      -0.00661      0.175234
    87           983.438             1       0.00094      0.175234
    88           983.437             1       0.00468      0.175171
    89           983.434             1       0.00104      0.257647
    90            983.43             1      -0.00068      0.257639
    91           983.429             1     -0.000591      0.173077
    92           983.427             1      0.000329      0.129307
    93           983.431             1       0.00907      0.129294
    94           983.426             1      0.000386      0.258589
    95           983.425             1     -0.000349      0.258886
    96           983.424             1     -0.000408      0.179099
    97           983.423             1     -0.000148      0.108626
    98           983.427             1       0.00873        0.1041
    99           983.423             1      0.000691      0.208199
   100           983.422             1     -2.73e-05      0.238068
   101           983.421             1     -0.000188      0.233811
   102            983.42             1     -0.000216      0.199136
   103            983.42             1      -0.00019      0.148215
   104           983.419             1      0.000514      0.129952
   105           983.422             1         0.005      0.139804
   106           983.419             1      0.000225      0.279608
   107           983.418             1      -0.00016      0.280145
   108           983.418             1      -0.00021      0.176714
   109           983.417             1     -0.000188     0.0865253
   110           983.422             1       0.00932     0.0772759
   111           983.417             1       0.00115      0.154552

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           51203.9
     1           51202.5      1.55e-05     -4.74e+04       1.37283
     2           51200.8      1.74e-05     -4.74e+04       1.37283
     3           51197.5      3.54e-05     -4.74e+04       1.37283
     4           51194.5      3.13e-05     -4.74e+04       1.37283
     5           51143.9      0.000534     -4.74e+04       1.37283
     6           42950.7        0.0842     -5.28e+04       1.37283
     7           42396.2       0.00685     -4.11e+04       1.37283
     8           41455.5        0.0116     -4.16e+04       1.37283
     9             39284        0.0263     -4.44e+04       1.37283
    10           38736.7       0.00741     -3.76e+04       1.37283
    11           30955.6        0.0871     -5.57e+04       1.37283
    12           11226.9          0.22      -6.4e+04       1.37283
    13           6346.47          0.21     -1.52e+04       1.37283
    14           3808.81         0.235     -6.01e+03       1.37283
    15           2343.44         0.582      1.05e+04       1.37283
    16           2570.94         0.548      1.02e+04       1.37283
    17           1640.81         0.525         -49.3       2.74567
    18           1525.41             1          82.9       2.74567
    19           2076.63             1      1.22e+03       2.38631
    20           1512.97             1           220       4.77263
    21           1420.64             1         -7.02       6.96145
    22           1416.89             1          1.25       2.32048
    23           1414.99             1        -0.117       2.20595
    24           1414.29             1       -0.0702       1.92872
    25           1413.89             1       -0.0568        1.7046
    26            1413.6             1       -0.0297       1.48626
    27            1413.6       0.00733        -0.221       1.31273
    28           1413.37             1       -0.0121       1.31273
    29           1413.17             1       -0.0215       1.19643
    30           1413.01             1       -0.0189         1.045
    31           1412.86             1        -0.024      0.920016
    32           1412.44             1         0.254      0.786101
    33           1412.47             1          1.31      0.786381
    34            1411.8             1        -0.096       1.57276
    35           1412.02             1         0.957      0.880435
    36           1411.56             1       -0.0258       1.76087
    37           1411.46             1          0.13       1.54423
    38           1411.28             1         0.059       1.57489
    39           1411.04             1        -0.054       1.57442
    40           1410.82             1       -0.0803       1.24116
    41           1410.52             1        -0.121       0.67033
    42           1409.99             1        -0.222      0.425922
    43           1408.95             1         -0.43       0.24616
    44           1406.45             1        -0.996      0.161313
    45           1404.99          0.12         -5.92      0.105001
    46           1408.88         0.376          36.7      0.105001
    47              1402         0.657          0.95      0.210003
    48           1398.69             1        -0.423      0.210003
    49           1396.36         0.318         -1.77      0.209658
    50            1390.7             1         -1.32      0.209658
    51           1385.78         0.786         -2.13      0.201414
    52           1384.52         0.549        -0.889      0.201414
    53           1383.54         0.522        -0.802      0.201414
    54           1381.91             1        -0.698      0.201414
    55           1378.79             1         -1.45      0.135487
    56           1378.38        0.0266         -7.58     0.0755445
    57           1362.69             1         -7.69     0.0755445
    58           1359.37        0.0104          -159     0.0251815
    59           1320.76          0.11          -170     0.0251815
    60           1285.62        0.0627          -273     0.0251815
    61           985.359             1         -17.8     0.0251815
    62           1007.63             1          31.5    0.00839383
    63           998.864             1            22     0.0167877
    64           991.596             1          12.7     0.0671507
    65           983.956             1        -0.097      0.537205
    66           983.742             1       -0.0277      0.179068
    67           983.639             1       0.00442      0.178627
    68           983.583             1       0.00302      0.177274
    69           983.572             1        0.0527      0.176852
    70           983.534             1       0.00957      0.236919
    71             983.5             1      -0.00551      0.236734
    72           983.482             1      -0.00471      0.190513
    73           983.472             1       0.00221      0.157426
    74           983.474             1        0.0189       0.15736
    75           983.464             1      -0.00181      0.314721
    76           983.457             1       -0.0025      0.270656
    77           983.446             1      -0.00451     0.0916788
    78           983.444             1        0.0115     0.0645955
    79           983.875             1         0.782     0.0918635
    80           983.491             1        0.0907      0.183727
    81           983.436             1      -0.00143      0.734908
    82           983.434             1     -0.000587      0.372634
    83           983.432             1     -0.000813      0.247369

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       1.13596e+06
     1       1.13582e+06       6.3e-05     -1.12e+06       2.78861
     2       1.13574e+06      3.59e-05     -1.12e+06       2.78861
     3       1.13566e+06      3.66e-05     -1.12e+06       2.78861
     4       1.13544e+06      9.96e-05     -1.12e+06       2.78861
     5       1.13534e+06      4.32e-05     -1.12e+06       2.78861
     6       1.13529e+06      2.04e-05     -1.12e+06       2.78861
     7       1.07402e+06        0.0242     -1.41e+06       2.78861
     8       1.05957e+06       0.00674     -1.09e+06       2.78861
     9            865570        0.0773     -1.43e+06       2.78861
    10            769647        0.0561     -8.61e+05       2.78861
    11            728179        0.0273     -7.64e+05       2.78861
    12            204525         0.424     -5.09e+05       2.78861
    13            140370         0.174     -1.69e+05       2.78861
    14           79009.4         0.206     -2.57e+05       2.78861
    15           3695.84         0.501     -1.08e+04       2.78861
    16            2641.9         0.473          -293       2.78861
    17           2481.46         0.747           243       2.78861
    18           2338.23             1         -9.69       2.78861
    19           2328.06             1         -3.31      0.929538
    20           2051.88         0.207          -619      0.828845
    21           1677.68             1           293      0.828845
    22           1638.48         0.257         -67.7      0.484725
    23           1636.21             1           140      0.484725
    24            1579.8             1          9.56      0.827139
    25           1577.64             1         0.662      0.275713
    26           1547.59          0.31         -23.3      0.131487
    27           1505.85         0.558       2.2e+03      0.131487
    28           1468.12         0.366          81.7      0.131487
    29           1437.13         0.543         -15.4      0.131487
    30           1434.11             1        0.0532      0.131487
    31           1432.34             1        -0.106     0.0438289
    32           1428.58         0.166         -10.2     0.0146096
    33           1428.52         0.147        -0.251     0.0146096
    34           1721.49         0.295      4.55e+05     0.0146096
    35           1721.52         0.578      2.32e+05     0.0292192
    36           1428.32             1        -0.144      0.116877
    37           1428.32       0.00308        -0.677      0.038959
    38            1721.6          0.45      1.48e+05      0.038959
    39           1722.42         0.882      7.04e+04      0.077918
    40           1427.95             1        -0.188      0.311672
    41           1720.97         0.757      5.42e+04      0.103891
    42           1426.67             1         -1.54      0.207781
    43           1710.36         0.281      4.24e+04     0.0692604
    44           1709.67         0.445      2.62e+04      0.138521
    45           1423.89             1         -1.38      0.554083
    46           1662.96         0.721      3.61e+03      0.184694
    47           1659.75         0.918      2.86e+03      0.369389
    48           1420.87             1         -1.05       1.47756
    49            1420.6             1          4.33      0.492519
    50           1418.58             1       -0.0995      0.702284
    51           1418.44             1       -0.0496      0.234095
    52           1418.28             1       -0.0605     0.0780316
    53           1418.11             1       -0.0676     0.0419413
    54           1417.79             1        -0.135     0.0181312
    55           5291.37         0.235      2.26e+06    0.00604374
    56           5290.29         0.378       1.4e+06     0.0120875
    57           1420.24             1          22.9     0.0483499
    58           1417.68             1       -0.0435      0.386799
    59           1417.36             1        -0.164      0.128933
    60           5163.16         0.699      3.14e+05     0.0429777
    61           1453.68             1           317     0.0859554
    62           1417.07             1        -0.148      0.343821
    63           5067.37         0.979      1.59e+05      0.114607
    64            1401.5          0.24         -31.4      0.229214
    65            1401.5      0.000185         -2.27      0.229214
    66           1399.22             1          0.48      0.229214
    67           1477.23             1           420        0.1349
    68           1400.91             1          6.15        0.2698
    69           1394.46             1        -0.917        1.0792
    70           1431.08             1           125      0.359733
    71           1394.61             1          3.26      0.719466
    72           1393.45             1        -0.332       2.87786
    73           1393.24             1          1.56      0.959288
    74           1392.03             1         0.411       1.25739
    75           1391.18             1         0.716       1.25729
    76           1390.06             1         0.439         1.278
    77           1388.79             1        0.0622        1.2795
    78           1387.62             1          -0.2       1.27803
    79           1386.78             1        -0.227       1.22468
    80           1386.19             1        -0.193       1.09039
    81           1385.72             1        -0.167      0.934449
    82           1385.33             1        -0.141      0.779754
    83              1385             1        -0.112      0.647797
    84           1384.72             1       -0.0874      0.547256
    85           1384.45             1       -0.0807      0.472659
    86           1384.18             1       -0.0931      0.401351
    87           1383.83             1        -0.127       0.31893
    88           1383.31             1        -0.218      0.227863
    89           1382.93         0.317        -0.586      0.136052
    90           1381.49             1        -0.687      0.136052
    91           1372.24             1         -4.57     0.0453507
    92           1241.02         0.618         -95.4     0.0151169
    93           994.447         0.836         -44.9     0.0151169
    94           1081.14             1           152     0.0151169
    95           990.717             1          7.75     0.0302338
    96           984.721             1        -0.452     0.0309117
    97            987.41             1          4.54     0.0103039
    98           984.858             1         0.304     0.0206078
    99           984.648             1      -0.00683     0.0824311
   100           984.669             1        0.0574      0.027477
   101           984.641             1      0.000994     0.0549541
   102           984.633             1      -0.00213     0.0537398
   103           984.628             1     -0.000604     0.0336711
   104           984.622             1      -0.00215     0.0316694
   105           984.617             1      -0.00081     0.0164724
   106           984.611             1      -0.00221     0.0152526
   107           984.605             1      -0.00158    0.00649162
   108             984.6             1      -0.00212    0.00564726
   109           984.594             1      -0.00228    0.00253418
   110            984.59             1      -0.00156    0.00182849
   111           984.587             1      -0.00147   0.000904006
   112           984.584             1       -0.0015   0.000497969
   113           984.581         0.763      -0.00132   0.000314067
   114            984.58             1     -0.000796   0.000314067
   115           984.577             1     -0.000931   0.000158074
   116           984.576             1     -0.000793   0.000100336
   117           984.574             1     -0.000681   6.33727e-05
   118           984.573             1     -0.000584   4.00356e-05
   119           984.571             1     -0.000502   2.52947e-05
   120            984.57             1      -0.00043   1.59826e-05
   121            984.57             1     -0.000369   1.00993e-05
   122           984.569             1     -0.000317    6.3821e-06
   123           984.569        0.0208     -0.000367   4.03326e-06
   124           984.569         0.135     -0.000349   4.03326e-06
   125           984.568             1     -0.000251   4.03326e-06
   126           984.568             1      -0.00023   2.43454e-06
   127           984.567             1     -0.000197   1.53995e-06
   128           984.567             1     -0.000169   9.73304e-07
   129           984.566             1     -0.000145   6.15198e-07
   130           984.566             1     -0.000125   3.88871e-07
   131           984.566             1     -0.000107     2.459e-07
   132           984.566         0.576     -0.000104   1.55561e-07
   133           984.566             1     -6.84e-05   1.55561e-07
   134           984.565             1     -7.47e-05   8.27588e-08
   135           984.565             1     -6.39e-05   5.24338e-08
   136           984.565             1     -5.49e-05   3.31435e-08
   137           984.565             1     -4.71e-05   2.09538e-08
   138           984.565             1     -4.05e-05   1.32445e-08
   139           984.565             1     -3.47e-05   8.37416e-09
   140           984.565             1     -2.98e-05   5.29295e-09
   141           984.565             1     -2.56e-05   3.34528e-09
   142           984.565             1      -2.2e-05    2.1143e-09
   143           984.565        0.0326     -2.53e-05   1.33661e-09
   144           984.565             1     -1.85e-05   1.33661e-09
   145           984.565             1     -1.61e-05   8.36854e-10

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            714662
     1            679576        0.0233     -8.12e+05       2.16354
     2            599183        0.0478     -1.07e+06       2.16354
     3            590711       0.00707     -6.11e+05       2.16354
     4            549636        0.0324     -6.92e+05       2.16354
     5            417447        0.0856     -1.14e+06       2.16354
     6            332929        0.0882     -6.29e+05       2.16354
     7            310492        0.0331     -3.54e+05       2.16354
     8            220001         0.142     -3.41e+05       2.16354
     9            117883          0.23     -2.36e+05       2.16354
    10           21571.9         0.411     -1.09e+05       2.16354
    11            4337.1         0.837      2.18e+04       2.16354
    12           2516.73          0.34     -2.37e+03       2.16354
    13           2495.35             1      3.73e+03       2.16354
    14           1665.17             1           247       4.03652
    15           2042.84         0.625       1.2e+03       1.34551
    16           2019.79         0.793           830       2.69101
    17           1741.93             1           193       10.7641
    18           1610.77             1          -4.4       86.1124
    19              1598             1         -1.17       33.4103
    20           1577.64             1         -8.19        30.977
    21           1542.11             1         0.323       10.3257
    22           1526.13             1         0.341       6.39243
    23           1519.82             1         -1.31       5.75289
    24           1518.58             1        0.0815       3.28244
    25           1517.36             1         -0.32       3.27825
    26           1516.85             1         -0.13       2.22442
    27           1516.47             1        -0.133       2.02398
    28           1516.17             1        -0.108       1.47399
    29           1515.91             1       -0.0905       1.11423
    30           1512.71          0.17         -8.76      0.807616
    31           1495.01             1          -4.8      0.807616
    32           1480.34             1          3.52      0.760084
    33           1466.36             1            -3      0.760196
    34           1463.48          0.61         -1.45      0.339107
    35            1462.7         0.263         -1.29      0.339107
    36           1461.29             1        -0.368      0.339107
    37           1460.93         0.857        -0.127      0.113036
    38           1460.81             1       -0.0138      0.113036
    39           1460.73             1       -0.0156     0.0631436
    40           1460.69         0.973       -0.0153     0.0447405
    41           1460.66             1       -0.0071     0.0447405
    42           1460.54             1       -0.0495     0.0265721
    43            1460.4         0.165        -0.405     0.0125562
    44           1460.37        0.0439        -0.336     0.0125562
    45           1462.12         0.717           159     0.0125562
    46           1460.19             1       -0.0164     0.0251123
    47           1460.11      0.000219          -181     0.0212106
    48           1448.57         0.038          -151     0.0212106
    49           1428.92        0.0947         -28.1     0.0212106
    50            1421.3             1          12.6     0.0212106
    51           1401.16             1           5.2     0.0246403
    52           1402.63             1          4.27     0.0123514
    53            1402.2             1          3.82     0.0247028
    54           1400.65             1          2.14     0.0988112
    55           1400.79             1          4.65      0.148374
    56           1400.02             1          4.37      0.296748
    57           1398.74             1         0.146      0.355088
    58           1398.53             1        0.0319      0.353745
    59           1398.41             1       -0.0243      0.341508
    60           1398.27             1       -0.0438      0.265377
    61           1398.07             1       -0.0584      0.181591
    62           1397.86             1       -0.0301      0.152155
    63           1397.57             1       -0.0928      0.150024
    64           1397.73             1          1.79      0.130225
    65           1397.39             1       -0.0575       0.26045
    66           1411.92             1          77.2      0.107295
    67           1397.44             1         0.481       0.21459
    68           1397.34             1       -0.0218       0.85836
    69            1397.3             1         0.121       0.28612
    70            1397.4             1         0.463      0.289686
    71           1397.19             1       -0.0198      0.579371
    72           1397.22             1         0.157      0.377147
    73           1397.15             1       -0.0113      0.754294
    74           1397.14             1        0.0482      0.478582
    75            1397.1             1      -0.00828      0.667494
    76           1397.08             1       0.00157      0.471407
    77           1397.06             1       -0.0058      0.465026
    78           1397.04             1      -0.00746      0.201463
    79           1397.03             1      -0.00665      0.147299
    80           1397.01             1       -0.0054      0.114806
    81              1397             1      -0.00302      0.091755
    82           1397.02             1        0.0453     0.0833917
    83              1397             1       0.00476      0.166783
    84              1397             1        0.0043      0.204728
    85              1397             1       0.00225      0.232134
    86           1396.99             1       0.00169      0.232237
    87           1396.99             1       0.00194      0.232702
    88           1396.99             1       0.00259      0.235896
    89           1396.99             1       0.00199      0.265236
    90           1396.99             1       0.00126      0.272311
    91           1396.99             1      0.000912      0.274066
    92           1396.98             1      0.000719      0.274815
    93           1396.98             1        0.0005       0.27587
    94           1396.98             1       0.00037      0.276005
    95           1396.98             1      0.000241      0.276072
    96           1396.98             1      0.000163      0.276072
    97           1396.98             1      8.47e-05      0.276055
    98           1396.98             1      3.78e-05      0.275672
    99           1396.98             1     -7.87e-06      0.274844
   100           1396.98             1      -3.3e-05        0.2723
   101           1396.98             1     -5.52e-05      0.268567
   102           1396.98             1     -6.15e-05      0.262148
   103           1396.98             1     -6.28e-05      0.255342
   104           1396.98             1     -4.79e-05      0.247734
   105           1396.97             1     -1.55e-05      0.242555
   106           1396.97             1      2.92e-05      0.239916
   107           1396.97             1      7.07e-05      0.239472
   108           1396.97             1       0.00012      0.239451
   109           1396.97             1       0.00016      0.239516
   110           1396.97             1      0.000213      0.240084
   111           1396.97             1      0.000245      0.243463
   112           1396.97             1      0.000273      0.248867
   113           1396.97             1      0.000253      0.259059
   114           1396.97             1      0.000222       0.26632
   115           1396.97             1      0.000173      0.272834
   116           1396.97             1      0.000135      0.275656
   117           1396.97             1      9.63e-05      0.277391
   118           1396.97             1      6.92e-05      0.277766
   119           1396.97             1      4.36e-05       0.27784
   120           1396.97             1      2.55e-05       0.27784
   121           1396.97             1      9.04e-06      0.277762
   122           1396.97             1     -2.81e-06       0.27701
   123           1396.97             1      -1.3e-05      0.274916
   124           1396.97             1     -1.98e-05      0.269927
   125           1396.97             1     -2.45e-05       0.26199
   126           1396.97             1     -2.57e-05      0.250884
   127           1396.97             1     -2.32e-05      0.239756
   128           1396.97             1     -1.45e-05      0.230668
   129           1396.97             1     -5.42e-07      0.226187
   130           1396.97             1      2.06e-05      0.224866
   131           1396.97             1      4.43e-05      0.224834
   132           1396.97             1      7.72e-05      0.224885
   133           1396.97             1       0.00011      0.226857
   134           1396.97             1      0.000148      0.233495
   135           1396.97             1      0.000153      0.251217
   136           1396.97             1      0.000135      0.267287
   137           1396.97             1      0.000101      0.280058
   138           1396.97             1      7.19e-05      0.285165
   139           1396.97             1      4.57e-05      0.287437
   140           1396.97             1      2.68e-05      0.287728

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            404614
     1            404579      4.31e-05     -3.99e+05       20.3651
     2            404538      5.15e-05     -3.99e+05       20.3651
     3            404412      0.000158     -3.99e+05       20.3651
     4            404333      9.95e-05     -3.99e+05       20.3651
     5            404249      0.000105     -3.99e+05       20.3651
     6            386644        0.0224     -3.87e+05       20.3651
     7            247260         0.211     -2.85e+05       20.3651
     8            247188      0.000149     -2.42e+05       20.3651
     9            246841      0.000716     -2.42e+05       20.3651
    10            141704          0.27     -1.55e+05       20.3651
    11           56194.7         0.474     -4.92e+04       20.3651
    12           17817.2         0.529     -2.24e+04       20.3651
    13           11460.7         0.233     -1.15e+04       20.3651
    14           9652.26         0.102     -8.31e+03       20.3651
    15           1985.11             1          -521       20.3651
    16           1819.86         0.246          -272       6.78835
    17           1616.38         0.899            55       6.78835
    18            1541.2             1         -5.79       6.78835
    19           1521.12             1         -5.55       5.19562
    20           1511.66             1         -3.13       4.25576
    21            1506.1             1         -2.11       3.42973
    22           1501.64             1         -1.85       2.60731
    23           1496.37             1         -2.32       1.77888
    24           1486.11             1         -4.77       1.04469
    25           1475.79         0.228         -22.3      0.465409
    26           1432.31         0.559         -37.9      0.465409
    27           1285.49         0.692         -90.2      0.465409
    28           1153.24         0.602         -71.9      0.465409
    29           1110.78             1          -2.7      0.465409
    30           1108.75             1        -0.398      0.155136
    31           1107.79             1        -0.338      0.153919
    32           1105.41             1        -0.664     0.0513062
    33           1104.52        0.0614         -7.64     0.0510295
    34           1092.59             1         -2.45     0.0510295
    35           1124.53             1           326     0.0170098
    36           1117.25             1           327     0.0340197
    37           1110.21             1           339      0.136079
    38           1080.47             1           145       1.08863
    39           1021.75             1         -10.2       1.21134
    40           1015.95             1         -1.04       0.40378
    41           1011.97         0.319         -5.24       0.23237
    42           1009.09             1        -0.797       0.23237
    43           1006.78             1        -0.413     0.0774567
    44           1006.44             1       -0.0739     0.0258189
    45           1006.41         0.288       -0.0482     0.0110361
    46           1006.36             1       -0.0196     0.0110361
    47           1005.86         0.099         -2.59    0.00528969
    48           1005.83         0.698       -0.0173    0.00528969
    49           1005.81             1      -0.00736    0.00528969
    50           1005.79             1      -0.00621    0.00183204
    51           1005.78         0.654      -0.00526     0.0013592
    52           1005.78             1      -0.00262     0.0013592
    53           1005.77         0.687      -0.00359   0.000679091
    54           1005.77             1      -0.00237   0.000679091
    55           1005.76             1      -0.00446    0.00042536
    56           1009.07             1          3.25   0.000141787
    57            1006.6             1         0.926   0.000283573
    58           1005.76             1        0.0452    0.00113429
    59           1005.75             1      -0.00407    0.00907434
    60           1005.72             1        -0.013    0.00899125
    61           1005.36             1        -0.178    0.00299708
    62           1004.12        0.0718         -8.46   0.000999028
    63           1000.96          0.17         -5.75   0.000999028
    64           2710.17         0.704      8.11e+04   0.000999028
    65           2710.26         0.709      8.05e+04    0.00199806
    66           2710.79         0.743       7.7e+04    0.00799223
    67           1180.44             1      2.32e+03     0.0639378
    68            999.37             1          -0.2      0.511502
    69           999.434             1         0.961      0.170501
    70           999.165             1        0.0389      0.341002
    71           999.096             1      -0.00474      0.226242
    72           997.785         0.127         -5.21     0.0754141
    73           997.774        0.0439        -0.123     0.0754141
    74           997.639             1       -0.0187     0.0754141
    75            997.63             1     -0.000962      0.025138
    76            997.63             1     -4.46e-05    0.00837934
    77           997.629             1     -0.000233    0.00280516
    78           997.628             1      -0.00076   0.000935053
    79            997.62             1      -0.00402   0.000311684
    80           997.433             1       -0.0967   0.000103895
    81           1001.92        0.0601           201   3.46316e-05
    82           1001.11        0.0655           164   6.92632e-05
    83           999.818         0.105          82.2   0.000277053
    84           995.341         0.444          2.53    0.00221642
    85           994.822        0.0293          31.7    0.00221642
    86           1002.87         0.143           122    0.00221642
    87           994.747       0.00909         -3.57    0.00443284
    88           1001.74         0.165          91.8    0.00443284
    89           1001.14         0.214            68    0.00886569
    90           997.916         0.511          21.9     0.0354628
    91           990.447             1        -0.119      0.283702
    92           992.157         0.688          6.24     0.0945674
    93            990.84             1          1.23      0.189135
    94           990.294             1       -0.0358      0.756539
    95           990.624             1         0.905       0.25218
    96           990.252             1        0.0141      0.504359
    97           990.265             1         0.163      0.483773
    98           990.188             1        -0.021      0.967547
    99           990.167         0.455        0.0711      0.358264
   100           990.111             1      -0.00187      0.358264
   101           990.111       0.00185      -0.00115      0.119421
   102            990.11             1     -0.000197      0.119421

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            176378
     1           57555.8         0.262     -1.17e+05       1.10139
     2           38140.4           0.2      -4.3e+04       1.10139
     3           22197.8         0.267      -2.5e+04       1.10139
     4           8013.23          0.55      1.45e+05       1.10139
     5           4334.65          0.36     -4.22e+03       1.10139
     6           3757.31         0.114     -2.35e+03       1.10139
     7           1912.29          0.68          -609       1.10139
     8           1588.02             1         -35.5       1.10139
     9           1532.29             1         -8.81      0.489668
    10           1481.55             1         -13.8      0.428139
    11           1428.33         0.235         -88.1      0.390972
    12            1408.1        0.0592          -159      0.390972
    13            1182.1             1         -71.4      0.390972
    14            1169.8        0.0415          -143      0.259912
    15           1104.86         0.282         -92.4      0.259912
    16           1040.92         0.786         -6.39      0.259912
    17            1071.4         0.737          77.7      0.259912
    18           1069.39         0.928          60.6      0.519824
    19           1138.34         0.576           345       2.07929
    20           1029.67             1         -2.88       16.6344
    21           1025.26             1          -1.3       5.54479
    22           1026.65             1          4.85       2.92729
    23           1025.79             1          4.19       5.85458
    24              1024             1        -0.557       23.4183
    25           1021.18             1        0.0533       7.80611
    26            1017.7             1         -1.47       5.79927
    27           1011.97             1         -2.55       1.93309
    28           1006.73         0.423         -6.27      0.644363
    29           1007.67             1          2.81      0.644363
    30           1006.79             1         0.898       1.28873
    31           1005.25             1        -0.579        5.1549
    32           1004.59         0.922        -0.302        1.7183
    33           1003.91             1        -0.205        1.7183
    34           1003.85             1       -0.0167       1.57041
    35           1003.81             1        -0.021      0.796588
    36           1003.73          0.22        -0.129      0.265529
    37           1003.65             1       -0.0361      0.265529
    38           1003.58             1        -0.017      0.118783
    39           1003.54         0.916       -0.0179      0.109346
    40           1003.51             1      -0.00107      0.109346
    41           1003.49             1      -0.00553      0.108612
    42           1003.48             1      -0.00818      0.036204
    43           1003.48             1        0.0101      0.012068
    44           1003.48             1        0.0144      0.024136
    45           1003.38         0.605       -0.0695     0.0965441
    46           1003.36             1       -0.0106     0.0965441
    47           1003.35             1      -0.00528     0.0321814
    48           1003.35         0.502      0.000863     0.0107271
    49           1003.35         0.502      0.000868     0.0214542
    50           1003.34             1       0.00702      0.085817
    51           1003.32         0.758      -0.00734     0.0879597
    52           1003.32             1       0.00115     0.0879597
    53           1003.32             1       0.00126      0.175919
    54           1003.32             1       0.00122      0.703677

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           34256.4
     1           34256.2      1.12e-05     -1.03e+04        271828
     2             34256      1.07e-05     -1.01e+04        271828
     3           34189.3       0.00331        -1e+04        271828
     4           20854.6             1     -4.65e+03        271828
     5           17940.6         0.391     -3.23e+03        127574
     6           17753.9        0.0344     -2.69e+03        127574
     7           17587.4         0.107      8.03e+04        127574
     8           15438.4         0.773     -1.25e+03        127574
     9             15354        0.0458          -918        127574
    10           15243.5        0.0612          -897        127574
    11           14063.9         0.717          -764        127574
    12           13698.5         0.288          -618        127574
    13           13681.9        0.0142          -583        127574
    14           12610.2             1          -492        127574
    15           12159.9         0.221          -908       42524.6
    16           12090.1        0.0367          -900       42524.6
    17           10753.6             1          -549       42524.6
    18           10782.1        0.0319      5.33e+04       25273.5
    19           10811.9        0.0161      1.08e+05       50547.1
    20           10815.4        0.0314      5.52e+04        202188

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           69069.4
     1           69065.7      2.78e-05     -6.62e+04      0.826138
     2           69058.5      5.46e-05     -6.63e+04      0.826138
     3           69055.8      2.06e-05     -6.62e+04      0.826138
     4             69054      1.32e-05     -6.62e+04      0.826138
     5           69052.3      1.27e-05     -6.62e+04      0.826138
     6           69038.8      0.000102     -6.63e+04      0.826138
     7           68993.9      0.000337     -6.68e+04      0.826138
     8             59767        0.0448     -1.35e+05      0.826138
     9           48766.5        0.0693     -9.76e+04      0.826138
    10           46497.4        0.0229     -5.25e+04      0.826138
    11           33975.8         0.111     -6.78e+04      0.826138
    12           29535.6        0.0639     -3.85e+04      0.826138
    13           9534.74         0.243     -5.68e+04      0.826138
    14           7127.59         0.158     -7.45e+03      0.826138
    15           6288.75        0.0773      -5.2e+03      0.826138
    16           3639.97         0.406      1.53e+04      0.826138
    17           1827.09         0.617          -328      0.826138
    18            1776.1        0.0737      5.51e+04      0.826138
    19           1673.11             1      1.13e+03      0.826138
    20           1709.76             1           876      0.883984
    21           1574.45             1           383       1.76797
    22           1574.11        0.0012          -142       1.77326
    23           1564.54        0.0344          -137       1.77326
    24           1441.77             1          37.7       1.77326
    25           1434.57             1          10.3      0.667691
    26           1524.91         0.579      1.51e+03      0.647813
    27           1503.42         0.911           572       1.29563
    28           1416.27             1         -1.69       5.18251
    29           1411.28             1         -1.75       3.33118
    30           1406.75             1          11.5       1.11039
    31           1422.66             1           172      0.970133
    32           1398.82             1        -0.562       1.94027
    33           1397.56             1          7.98      0.646755
    34           1394.86             1       -0.0996      0.660088
    35           1394.77          0.13        -0.353      0.224461
    36           1394.52         0.474        -0.225      0.224461
    37           1394.39             1       -0.0313      0.224461
    38           1394.28             1       -0.0468      0.152428
    39            1394.1             1       -0.0511     0.0508094
    40           1394.05             1      -0.00683     0.0169365
    41           1394.03             1      -0.00481    0.00878299
    42           1393.95             1         -0.14    0.00715668
    43              2423        0.0554       3.2e+06    0.00238556
    44           2422.69        0.0987       1.8e+06    0.00477112
    45           2420.87         0.359      4.98e+05     0.0190845
    46           1393.88             1       -0.0468      0.152676
    47           2405.93         0.635      1.79e+05     0.0508919
    48           1394.06             1          3.18      0.101784
    49           1393.83             1       -0.0263      0.407135
    50           1393.83             1           1.6      0.135712
    51           2291.06         0.948      2.37e+04      0.263272
    52           1393.24             1         0.689      0.526543
    53           1400.61             1          31.5      0.509274
    54           1392.34             1        -0.147       1.01855
    55           1395.19             1          10.5      0.537258
    56           1391.84             1       -0.0372       1.07452
    57           1391.44             1       -0.0154      0.853137
    58           1391.14             1       -0.0813      0.774139
    59           1390.99             1        -0.043      0.508247
    60            1390.9             1       -0.0299      0.400038
    61           1390.85             1       -0.0172      0.261719
    62           1390.82             1       -0.0105      0.183848
    63            1390.8             1      -0.00647      0.116764
    64           1390.78             1      -0.00525     0.0715866
    65           1390.76             1        -0.015     0.0283108
    66           1390.34         0.641         -1.38    0.00943692
    67           1398.35         0.083      1.49e+03    0.00943692
    68           1398.33         0.155           793     0.0188738
    69           1398.12         0.587           206     0.0754954
    70           1390.12             1          -0.1      0.603963
    71           1389.53             1          3.78      0.201321
    72           1393.38          0.17          82.8      0.067107
    73           1393.08         0.293            49      0.134214
    74            1389.8             1          10.1      0.536856
    75            1387.5             1        -0.268       4.29485
    76           1379.89             1         -1.49       1.43162
    77           1379.77        0.0183         -3.12      0.807088
    78           1378.73         0.237         -1.94      0.807088
    79           1377.43         0.596         0.727      0.807088
    80           1376.23             1       -0.0978      0.807088
    81           1375.62             1        -0.243      0.269029
    82           1375.02             1         0.142     0.0896765
    83           1374.87             1        0.0208     0.0796282
    84           1374.84         0.513       -0.0167     0.0629462
    85           1374.82             1      -0.00122     0.0629462
    86           1372.46        0.0279         -42.7     0.0209821
    87           1371.61             1         0.118     0.0209821
    88           1371.45             1         0.236     0.0177991
    89           1371.72             1         0.591     0.0178333
    90           1371.67             1          0.54     0.0356666
    91           1371.44             1         0.237      0.142666
    92           1371.34             1        0.0435      0.258723
    93            1371.3             1       0.00109      0.258674
    94            1371.3         0.848      0.000898      0.181701
    95            1371.3             1      5.37e-05      0.181701

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           57582.3
     1           57577.4      4.49e-05     -5.46e+04      0.400584
     2           57516.8      0.000555     -5.47e+04      0.400584
     3           57456.3      0.000555     -5.46e+04      0.400584
     4           57445.5      9.96e-05     -5.45e+04      0.400584
     5           57287.8       0.00144     -5.47e+04      0.400584
     6           56811.2       0.00436     -5.49e+04      0.400584
     7           31016.2         0.217     -5.84e+04      0.400584
     8           30730.4       0.00491     -2.92e+04      0.400584
     9           30544.7       0.00351     -2.66e+04      0.400584
    10           27307.7        0.0573     -3.06e+04      0.400584
    11           19913.6         0.133     -3.48e+04      0.400584
    12             15365         0.102     -3.23e+04      0.400584
    13           14938.3        0.0165     -1.45e+04      0.400584
    14           12112.3        0.0592     -5.58e+04      0.400584
    15           5562.47         0.242     -1.99e+04      0.400584
    16              2647         0.276     -3.78e+03      0.400584
    17           2480.78         0.163          -544      0.400584
    18           2319.03         0.528      1.26e+03      0.400584
    19           2223.92          0.72           623      0.400584
    20           2147.36             1          43.6      0.400584
    21           2253.61           0.5      2.03e+03       0.25876
    22           2246.78         0.546      1.69e+03       0.51752
    23           2239.11         0.717      1.02e+03       2.07008
    24            2049.6             1           234       16.5607
    25           1767.84             1          33.7       19.6019
    26           1720.31             1          3.94       6.53397
    27           1706.48         0.826          -4.7       6.42512
    28           1701.16             1         -1.78       6.42512
    29           1696.75             1         -1.87       5.23491
    30           1688.63             1         -3.74       3.38126
    31           1657.43             1          -4.5       1.12709
    32           1641.72             1          -2.9      0.375696
    33            1535.6         0.293          -128      0.350508
    34           1476.78             1          7.05      0.350508
    35           1429.18             1         -7.89      0.350525
    36           1411.05             1         -3.77       0.26216
    37           1404.68             1         -1.53      0.158529
    38           1402.13         0.917        -0.806      0.116956
    39           1400.23             1        -0.712      0.116956
    40           1396.52             1         -1.72     0.0719176
    41           1395.48        0.0375         -13.8     0.0364777
    42           1361.21             1         -16.7     0.0364777
    43           1013.61             1         -51.5     0.0121592
    44           1055.08        0.0776      1.35e+03    0.00405308
    45           1054.21         0.151           687    0.00810615
    46           1048.07          0.73           130     0.0324246
    47           1002.37             1        -0.292      0.259397
    48            1004.4             1          4.48     0.0864656
    49           1002.32             1         0.129      0.172931
    50           1002.16             1       -0.0377      0.198387
    51           1002.28             1         0.319      0.103633
    52           1002.12             1      -0.00507      0.207267
    53           1002.09             1      -0.00765      0.193045
    54           1002.07             1       -0.0017      0.165029
    55           1002.05             1      -0.00491      0.158931
    56           1002.03             1      -0.00122      0.134768
    57           1002.02             1      -0.00327      0.129426
    58           1002.01             1      -0.00111      0.110286
    59              1002             1      -0.00228      0.104898
    60           1003.06             1          3.58     0.0900152
    61           1001.81             1         0.412       0.18003
    62           1013.94             1          31.6      0.180169
    63           1001.73             1          1.15      0.360338
    64           1000.73             1         -0.09       0.51842
    65           1001.01         0.528          2.28      0.401263
    66           1000.32             1         0.374      0.802526
    67           1000.25        0.0515        -0.703      0.803544
    68           999.697             1       -0.0346      0.803544
    69           999.692             1        0.0103      0.267848
    70           999.681             1      -0.00173      0.284697
    71           999.677             1      -0.00109      0.182892
    72           999.675             1       0.00324       0.15548
    73           999.674         0.228      -0.00191      0.172469
    74           999.669             1      -0.00133      0.172469
    75           999.671             1        0.0093       0.12857
    76           999.662             1      -0.00256       0.25714
    77           999.652         0.952      -0.00382      0.165644
    78           999.646             1        0.0035      0.165644
    79           999.661             1        0.0434      0.165645
    80           999.639             1      0.000447      0.331289
    81           999.631             1      -0.00284       0.32848
    82           999.621         0.631      -0.00718      0.109493
    83           999.607             1      -0.00526      0.109493
    84           999.726             1         0.254     0.0588808
    85           999.622             1        0.0443      0.117762
    86           999.603             1      -0.00152      0.471047
    87           999.598             1      -0.00256      0.311404
    88            999.58             1      -0.00866      0.103801
    89           999.501             1        -0.038     0.0346005
    90           999.449        0.0557        -0.465     0.0115335
    91           998.433             1          0.38     0.0115335
    92           997.514          0.15            41     0.0114238
    93           1055.29         0.246           790     0.0114238
    94           1056.25         0.315           640     0.0228477
    95           1062.29         0.734           340     0.0913906
    96           989.241             1         -0.98      0.731125
    97           990.884             1          4.19      0.243708
    98            988.99             1        0.0741      0.487417
    99           988.902             1        0.0339      0.468331
   100           988.841             1      -0.00872      0.466761
   101           988.841        0.0056      -0.00627      0.179842
   102           988.835             1      -0.00073      0.179842
   103           988.833             1      -0.00019      0.137927
   104           988.832             1      0.000812      0.132194
   105           988.829          0.83      0.000261      0.132433
   106           988.825             1     -0.000592      0.132433
   107           988.823             1        0.0023      0.122065
   108           988.822         0.153      -0.00356      0.124978
   109           988.818             1     -0.000214      0.124978
   110           988.817             1       0.00552      0.120497
   111           988.813             1       0.00113      0.203822
   112           988.808             1      -0.00138      0.203444
   113           988.803             1      -0.00212     0.0898038
   114             988.8         0.274      -0.00376     0.0413255
   115           988.796         0.337      -0.00571     0.0413255
   116           988.789             1      -0.00316     0.0413255
   117           988.825             1         0.104     0.0137752
   118           988.798             1        0.0328     0.0275504
   119           988.787             1      -0.00014      0.110201
   120           988.785         0.622      0.000159      0.104138
   121           988.781             1      -0.00123      0.104138
   122           988.778         0.617       0.00164     0.0826277
   123           988.776             1       0.00755     0.0826277
   124           988.861             1         0.168      0.094322
   125           988.775             1        0.0129      0.188644
   126           988.759             1      -0.00318      0.342991
   127           988.746             1      -0.00625       0.11433
   128            988.69             1       -0.0281     0.0381102
   129           988.571         0.208        -0.287     0.0127034
   130           986.805             1        -0.199     0.0127034
   131           985.431        0.0412            12    0.00990037
   132           993.199         0.132          90.3    0.00990037
   133           993.279          0.15          80.6     0.0198007
   134           994.212         0.271          52.5     0.0792029
   135           986.364             1           3.5      0.633623
   136           983.517             1        -0.159       5.06899
   137            983.48             1        0.0319       1.68966
   138           983.443             1       0.00323       1.68966
   139           983.419             1      -0.00374       1.65954
   140           983.411             1     -0.000882       1.35106
   141           983.407             1      -0.00101       1.26421
   142           983.406             1     -0.000247      0.904689
   143           983.405             1     -0.000118      0.834917

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            197155
     1            186688        0.0262     -2.07e+05       4.08514
     2            182368        0.0117     -1.88e+05       4.08514
     3            175427        0.0188      -1.9e+05       4.08514
     4            160113        0.0414        -2e+05       4.08514
     5            159185       0.00295     -1.58e+05       4.08514
     6            158423       0.00246     -1.55e+05       4.08514
     7            158305      0.000383     -1.54e+05       4.08514
     8            158073      0.000754     -1.54e+05       4.08514
     9            157045       0.00334     -1.54e+05       4.08514
    10            114302         0.113     -2.27e+05       4.08514
    11           95635.2        0.0699     -1.59e+05       4.08514
    12             66305         0.128     -1.35e+05       4.08514
    13           28221.8         0.215     -1.04e+05       4.08514
    14            3643.1         0.311     -1.61e+04       4.08514
    15           2232.75         0.388          -558       4.08514
    16           1713.71         0.593           586       4.08514
    17           1521.76             1         0.105       4.08514
    18           1485.76             1          63.9       2.64589
    19           1466.59         0.361         -19.9       2.63756
    20           1454.78         0.762         -2.56       2.63756
    21           1452.72             1        -0.802       2.63756
    22            1440.9             1         0.245      0.879188
    23           1707.22         0.532      6.89e+03      0.491812
    24           1677.05         0.578      5.88e+03      0.983624
    25           1426.29             1           113        3.9345
    26           1400.14             1         0.836       3.97657
    27           1389.75             1        -0.176       1.32552
    28           1387.59             1        -0.747      0.815116
    29           1383.21         0.576         -1.16      0.271705
    30           1379.92         0.282         -3.87      0.271705
    31           1378.09         0.428         -1.09      0.271705
    32            1377.2             1        -0.105      0.271705
    33           1377.04        0.0898        -0.841     0.0905685
    34           1387.02             1          68.2     0.0905685
    35           1374.65         0.161         -7.33      0.181137
    36           1374.63             1          2.41      0.181137
    37           1373.48             1        0.0352      0.344147
    38           1373.23             1         0.291      0.279764
    39           1372.95             1         0.222      0.280367
    40           1373.15             1          1.42      0.280534
    41           1372.35             1        -0.152      0.561067
    42           1375.31             1          7.02      0.224278
    43           1372.14             1         0.107      0.448556
    44           1371.79             1        -0.105      0.446816
    45           1375.16             1          7.41      0.174539
    46           1371.78             1         0.219      0.349077
    47           1371.74         0.113        -0.185      0.619979
    48           1371.53             1        -0.051      0.619979
    49           1371.45          0.45        0.0672       0.20666
    50           1372.45             1          1.98       0.20666
    51           1371.43             1        0.0474      0.413319
    52           1371.39             1       0.00692      0.438577
    53           1371.38             1        0.0114      0.429396
    54           1371.36             1       0.00491      0.430952
    55           1371.36             1       0.00321      0.430796
    56           1371.35             1       0.00189      0.430717
    57           1371.35             1       0.00111      0.430278
    58           1371.34             1      0.000635      0.429019
    59           1371.34             1       0.00034      0.426272
    60           1371.34             1      0.000166       0.42122
    61           1371.33             1      6.33e-05      0.413509
    62           1371.33             1      3.83e-06      0.403122
    63           1371.33             1     -3.05e-05      0.390497
    64           1371.33             1     -4.97e-05      0.376227
    65           1371.33             1     -6.02e-05      0.360949
    66           1371.33             1     -6.55e-05      0.345189
    67           1371.33             1     -6.79e-05      0.329348
    68           1371.32             1     -6.86e-05      0.313698
    69           1371.32             1     -6.84e-05      0.298416
    70           1371.32             1     -6.76e-05      0.283603
    71           1371.32             1     -6.66e-05      0.269315
    72           1371.32             1     -6.56e-05      0.255573
    73           1371.32             1     -6.46e-05      0.242383
    74           1371.32             1     -6.36e-05      0.229736
    75           1371.32             1     -6.27e-05      0.217619
    76           1371.32             1      -6.2e-05      0.206016
    77           1371.32             1     -6.13e-05      0.194906
    78           1371.31             1     -6.08e-05      0.184273
    79           1371.31             1     -6.04e-05      0.174097
    80           1371.31         0.736     -0.000255      0.164361
    81           1371.31             1     -0.000121      0.164361
    82           1371.31             1     -0.000331     0.0547869

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            431460
     1            431413      5.56e-05     -4.22e+05       6.23208
     2            431296      0.000139     -4.22e+05       6.23208
     3            430799      0.000589     -4.23e+05       6.23208
     4            430766      3.86e-05     -4.21e+05       6.23208
     5            430664      0.000122     -4.21e+05       6.23208
     6            430539      0.000149     -4.21e+05       6.23208
     7            424499         0.007     -4.42e+05       6.23208
     8            423565       0.00112     -4.18e+05       6.23208
     9            422195       0.00165     -4.18e+05       6.23208
    10            317270        0.0985     -6.35e+05       6.23208
    11            273138        0.0668     -3.47e+05       6.23208
    12            239894        0.0607      -2.8e+05       6.23208
    13            170410         0.142     -2.53e+05       6.23208
    14             50296          0.29     -2.31e+05       6.23208
    15           21747.2         0.277     -7.05e+04       6.23208
    16           13317.5         0.132      -5.7e+04       6.23208
    17           13247.4       0.00335     -1.05e+04       6.23208
    18           8305.47         0.572      7.97e+04       6.23208
    19           13613.6         0.503      2.07e+05       6.23208
    20           13608.9         0.605      1.36e+05       12.4642
    21           13818.7         0.954      6.01e+04       49.8567
    22           4363.67             1          -589       398.853
    23            4341.9        0.0127          -853       132.951
    24           3801.16             1      1.12e+03       132.951
    25           3420.31             1           233       132.759
    26           3265.35             1           6.7       128.737
    27           3016.56             1         -90.4       98.0829
    28           7242.28         0.974      4.88e+04       32.6943
    29           2372.06             1          -151       65.3886
    30           2039.74             1          96.7       21.7962
    31            1957.8         0.643         -44.6       7.99743
    32           1847.58             1         -53.3       7.99743
    33           1828.86         0.057          -162       2.66581
    34           1681.37             1          10.1       2.66581
    35           1651.42         0.141          -101      0.888603
    36           2390.59         0.548      3.82e+04      0.888603
    37           2525.24         0.776      2.92e+04       1.77721
    38           1651.42      1.08e-05         -74.9       7.10882
    39            1562.9             1           -37       7.10882
    40           2722.82         0.966      1.13e+04       2.36961
    41           1527.45         0.289           472       4.73921
    42           1530.82             1           178       4.73921
    43           1494.17         0.275         -54.7       9.47843
    44           1450.26             1           9.5       9.47843
    45           1434.66             1          13.5       3.15948
    46           1425.49             1          1.11       2.49126
    47           1410.78             1          -4.9       1.62781
    48           1408.27        0.0932         -13.6       1.01535
    49           1402.14             1         -1.63       1.01535
    50           1399.32             1        -0.868      0.865429
    51           1398.12             1        -0.361      0.728701
    52           1397.74             1       -0.0954      0.614126
    53           1394.14             1        -0.491      0.538428
    54           1393.76             1       -0.0377      0.203335
    55           1392.76             1           1.9     0.0722658
    56           1972.11         0.326      5.56e+04     0.0641568
    57           1967.38         0.626      2.91e+04      0.128314
    58            1391.4             1        -0.436      0.513254
    59           1937.07         0.562      1.88e+04      0.171085
    60           1501.98             1           817      0.342169
    61           1390.83             1        -0.265       1.36868
    62           1443.53             1           266      0.456226
    63           1390.47             1          1.07      0.912452
    64           1395.63             1          18.5      0.912937
    65           1389.06             1          -0.3       1.82587
    66           1396.71             1          24.1       1.02714
    67           1388.12             1        0.0886       2.05429
    68           1387.42             1         0.903        1.8183
    69            1386.1             1         0.141       1.82039
    70           1385.12             1       -0.0378       1.74125
    71            1384.5             1       -0.0799       1.56926
    72           1384.13             1       -0.0541       1.31232
    73           1383.92             1       -0.0417       1.07534
    74           1383.81             1       -0.0221      0.807937
    75           1383.74             1       -0.0148      0.610316
    76           1383.71             1      -0.00601      0.394899
    77           1381.25         0.219         -5.55        0.2721
    78           1380.66             1       -0.0844        0.2721
    79           1398.16             1          30.5     0.0907002
    80           1381.93             1          2.47        0.1814
    81           1380.57             1       -0.0161      0.725601
    82           1380.56             1        0.0477      0.241867
    83            1380.5             1       -0.0152      0.364262
    84           1380.63             1         0.276      0.150937
    85           1380.49             1        0.0032      0.301875
    86           1380.46             1      -0.00442      0.300347
    87           1380.45         0.104       -0.0208      0.275085
    88           1380.44             1      -0.00429      0.275085
    89           1380.41             1       -0.0166     0.0916949
    90           1380.39         0.145       -0.0692      0.030565
    91           1640.06         0.933      5.34e+03      0.030565
    92           1380.53             1          0.73       0.06113
    93           1380.36             1       -0.0137       0.24452
    94            1380.4             1         0.384     0.0815066
    95           1380.31             1       -0.0212      0.163013
    96           1447.55             1           548     0.0543377
    97           1380.43             1         0.629      0.108675
    98           1380.28             1       -0.0175      0.434702
    99           1380.29             1         0.318      0.144901
   100           1380.22             1       -0.0255      0.289801
   101           1392.09             1          50.5     0.0966004
   102           1380.24             1         0.353      0.193201
   103           1380.18             1       -0.0199      0.772803
   104           1380.13             1          0.15      0.257601
   105           1381.04             1          2.98      0.258124
   106           1379.91             1       -0.0449      0.516248
   107           1384.63             1          13.7      0.281335
   108            1379.8             1         0.213       0.56267
   109           1380.29             1          1.95      0.564867
   110            1379.4             1        -0.113       1.12973
   111           1384.16             1          12.2      0.499499
   112           1379.23             1         0.313      0.998997
   113           1379.03             1          0.73       1.01014
   114           1378.14             1         0.142       1.17834
   115           1377.44             1         0.376       1.16875
   116           1376.64          0.83         0.486       1.16918
   117           1375.26             1        -0.251       1.16918
   118           1374.99             1       0.00482      0.495097
   119            1374.8             1       -0.0201      0.475238
   120           1374.67             1       -0.0263      0.433542
   121           1374.58             1       -0.0155      0.359352
   122           1374.52             1        -0.016      0.314727
   123           1374.47             1       -0.0125      0.253134
   124           1374.43             1       -0.0119      0.207656
   125           1374.39             1       -0.0108      0.162902
   126           1374.36             1       -0.0104      0.127413
   127           1374.35         0.281       -0.0168     0.0970351
   128           1374.32             1      -0.00962     0.0970351
   129           1374.29             1       -0.0124     0.0663638
   130           1374.23             1       -0.0344     0.0383007
   131           1373.84         0.511          9.27     0.0127669
   132           2452.15         0.298      3.07e+05     0.0127669
   133           2436.39         0.565      1.59e+05     0.0255338
   134           1372.31             1       -0.0967      0.102135
   135           2378.25         0.512      1.01e+05      0.034045
   136           2371.34         0.945      5.47e+04     0.0680901
   137           1372.18             1       -0.0301       0.27236
   138           2342.97         0.991      3.72e+04     0.0907868
   139           1372.21             1         0.569      0.181574
   140           1372.13             1       -0.0176      0.726294
   141           1372.07             1         0.166      0.242098
   142           1372.95             1           3.7      0.240337
   143           1371.85             1       -0.0552      0.480675
   144           1392.02             1            95      0.160225
   145           1372.11             1          1.24       0.32045
   146           1371.75             1       -0.0411        1.2818
   147           1371.72             1         0.315      0.427267
   148           1371.47             1        -0.057      0.590486
   149           1371.52             1         0.331      0.196829
   150           1371.39             1      -0.00205      0.393658
   151           1371.34             1       -0.0144      0.340845
   152           1371.32             1      -0.00346      0.171034
   153           1371.31             1      -0.00174      0.127444
   154           1371.31             1     -0.000328     0.0424812
   155           1371.31             1     -0.000444     0.0150243
   156            1371.3             1     -0.000889    0.00500809
   157            1371.3             1     -0.000785    0.00303558
   158            1371.3             1     -0.000406    0.00214875
   159            1371.3             1      0.000584    0.00190994
   160            1371.3             1       0.00375     0.0019987
   161            1371.3             1       0.00379    0.00399739
   162            1371.3             1       0.00331     0.0159896
   163            1371.3             1      0.000892      0.127917
   164            1371.3             1      0.000365      0.158152
   165            1371.3             1      0.000114      0.170481

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            465083
     1            465007      8.38e-05     -4.54e+05       2.30994
     2            463842       0.00128     -4.53e+05       2.30994
     3            462822       0.00113     -4.52e+05       2.30994
     4            462791      3.38e-05     -4.52e+05       2.30994
     5            462617      0.000193     -4.52e+05       2.30994
     6            458927       0.00409      -4.5e+05       2.30994
     7            422389        0.0415     -4.33e+05       2.30994
     8            357160        0.0824     -3.84e+05       2.30994
     9            319956        0.0517     -3.73e+05       2.30994
    10            310100        0.0154     -3.26e+05       2.30994
    11            229080         0.112     -4.41e+05       2.30994
    12            186216         0.094     -2.39e+05       2.30994
    13            176088        0.0269     -1.95e+05       2.30994
    14            147930        0.0771     -1.91e+05       2.30994
    15            147316       0.00213     -1.45e+05       2.30994
    16           90108.3         0.152     -2.67e+05       2.30994
    17           82496.8        0.0391     -1.09e+05       2.30994
    18           47532.2         0.134     -2.28e+05       2.30994
    19             27951         0.199     -5.35e+04       2.30994
    20           25946.8        0.0388     -2.62e+04       2.30994
    21           8799.85         0.342     -2.47e+04       2.30994
    22           1839.24         0.626     -1.28e+03       2.30994
    23           1814.18             1           808       2.30994
    24           4084.01         0.968      1.67e+04       3.39866
    25           1885.15             1      1.18e+03       6.79731
    26           1611.13             1           102       27.1892
    27            1577.5             1          13.3       20.6015
    28           1535.52             1          6.33       16.3673
    29           1514.91             1         -2.92       15.5037
    30           1512.92         0.164         -5.45       5.16789
    31           1509.13         0.531         -2.21       5.16789
    32           1505.85             1        -0.704       5.16789
    33           1503.81             1        -0.659       4.81718
    34           1500.54             1             1       3.62798
    35           1494.99             1         -1.13       3.23185
    36           1492.78             1        -0.659       2.98955
    37            1491.7         0.734        -0.501       1.55426
    38           1491.02             1        -0.224       1.55426
    39           1490.59             1        -0.154       1.15904
    40           1480.16             1         -4.66      0.925269
    41           1472.06         0.109         -34.9      0.308423
    42           1464.38         0.106         -33.7      0.308423
    43           1472.67             1           337      0.308423
    44           1428.31             1         -5.89      0.616846
    45           1425.25         0.221         -6.33      0.205615
    46           1421.72         0.478          5.91      0.205615
    47           3584.84         0.828      4.09e+04      0.205615
    48           1495.21             1           393      0.411231
    49           1415.73             1         -1.28       1.64492
    50           1422.37             1          24.8      0.548307
    51            1414.6             1         0.687       1.09661
    52           1413.37             1        -0.283       1.00891
    53           1413.51             1          1.26       0.34837
    54           1411.67             1        -0.259      0.696739
    55           1411.33             1       -0.0402      0.289324
    56           1411.17             1       -0.0426      0.271869
    57           1418.01             1          18.7      0.151528
    58           1411.79             1          2.17      0.303056
    59           1410.92             1         0.087       1.21222
    60           1410.77             1       -0.0423       1.10813
    61           1410.77             1         0.278      0.369376
    62           1410.68             1       -0.0243      0.738753
    63           1410.65             1           0.1      0.534069
    64           1410.55             1        0.0154      0.594441
    65           1410.43             1        -0.026      0.587803
    66           1410.35             1        0.0366      0.195934
    67           1410.27             1        0.0825      0.196907
    68            1410.3             1         0.165      0.196865
    69           1410.22             1       0.00944      0.393729
    70           1410.22         0.957        0.0593      0.392313
    71           1410.19             1     -0.000991      0.784626
    72           1410.17             1      -0.00589       0.72629
    73            1410.1             1         0.284      0.242097
    74           1409.99         0.302         0.115      0.282002
    75           1409.32             1        -0.217      0.282002
    76           1408.37             1        -0.239      0.165981
    77           1411.21             1          4.82      0.157083
    78           1408.98             1          2.24      0.314167
    79           1407.45             1        -0.289       1.25667
    80           1405.84             1        -0.546      0.473266
    81           1403.18             1        -0.908      0.252482
    82           1400.81             1        -0.823      0.174967
    83           1398.15             1        -0.966      0.156714
    84           1391.07         0.603         -5.28      0.138489
    85           1387.48        0.0822         -20.3      0.138489
    86           1387.29       0.00236         -39.7      0.138489
    87           1384.33         0.614         -1.59      0.138489
    88           1384.07        0.0733         -1.73      0.138489
    89            1381.6             1         -0.93      0.138489
    90           1378.51         0.777         -1.64       0.11018
    91           1366.79             1         -5.67       0.11018
    92           1319.31          0.26         -88.5     0.0367267
    93           1270.98        0.0921          -252     0.0367267
    94           986.109             1         -17.9     0.0367267
    95           1017.39             1          44.5     0.0122422
    96           1004.99             1          29.5     0.0244845
    97           988.903             1          6.89     0.0979379
    98           984.088             1         -0.18      0.783503
    99           983.945             1         0.129      0.261168
   100           983.712             1       -0.0552      0.267958
   101           983.612             1       -0.0313      0.197881
   102           983.556             1       -0.0198      0.167482
   103           983.518             1       -0.0134       0.14727
   104           983.501             1          0.01      0.126166
   105           983.577             1         0.161      0.126268
   106           983.492             1       0.00812      0.252536
   107           983.474             1      -0.00435      0.255686
   108           983.462             1      -0.00391      0.164917
   109           983.457             1       0.00496       0.12251
   110           983.506             1        0.0982      0.123493
   111           983.455             1       0.00622      0.246985
   112           983.446             1      -0.00186      0.291759
   113           983.441             1      -0.00181      0.168847
   114           983.437             1       0.00108     0.0951876
   115           983.495             1          0.11     0.0951558
   116           983.441             1        0.0111      0.190312
   117           983.435             1     -0.000595      0.761246
   118           983.433             1     -0.000593      0.329638
   119           983.431             1     -0.000989      0.182624
   120           983.426             1      -0.00201     0.0608747
   121           983.439             1        0.0314     0.0369134
   122           983.427             1         0.005     0.0738268
   123           983.426             1     -0.000266      0.295307
   124           983.425             1     -0.000408      0.221281
   125           983.423             1     -0.000934     0.0737604
   126            983.43             1        0.0175     0.0392779
   127           983.423             1        0.0034     0.0785558
   128           983.422             1     -0.000163      0.314223
   129           983.422             1     -0.000244      0.261025
   130            983.42             1     -0.000644     0.0870082
   131           983.419             1       0.00202     0.0290027
   132           984.891             1           2.7     0.0300086
   133           983.794             1         0.692     0.0600173
   134           983.423             1        0.0105      0.240069

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            107261
     1            107258      1.51e-05     -1.04e+05      0.530986
     2            107253      2.33e-05     -1.04e+05      0.530986
     3            107240      6.27e-05     -1.04e+05      0.530986
     4            106482       0.00366     -1.03e+05      0.530986
     5           93982.6        0.0678     -8.46e+04      0.530986
     6           93670.9        0.0017     -9.23e+04      0.530986
     7           92202.1       0.00802     -9.29e+04      0.530986
     8           90694.8       0.00819     -9.56e+04      0.530986
     9             82410        0.0439     -1.02e+05      0.530986
    10           79844.3        0.0152     -9.05e+04      0.530986
    11           73431.5        0.0345     -1.13e+05      0.530986
    12           49667.3         0.105     -1.87e+05      0.530986
    13           47323.3        0.0229     -5.57e+04      0.530986
    14           31857.9         0.108     -1.23e+05      0.530986
    15           17200.4         0.174     -6.06e+04      0.530986
    16           11400.6         0.156     -2.27e+04      0.530986
    17           11093.3        0.0164     -9.51e+03      0.530986
    18           6533.47         0.536      1.14e+05      0.530986
    19           5197.56         0.238     -2.86e+03      0.530986
    20           4250.09         0.165     -3.72e+03      0.530986
    21           4054.73         0.655      2.77e+03      0.530986
    22           3967.67        0.0705          -601      0.530986
    23           3594.36             1         -20.6      0.530986
    24           3524.95             1          19.1      0.176995
    25           3442.68             1          2.14      0.177994
    26           3412.13             1          23.7      0.171126
    27           3641.48             1      1.05e+03      0.201821
    28           3503.84             1           535      0.403642
    29            3363.8             1           120       1.61457
    30           3320.83             1         -2.77        1.6146
    31           3317.97             1        -0.521       1.05069
    32           3316.85             1        -0.241      0.863055
    33           3316.28             1        -0.232      0.663335
    34           3139.36         0.572          -145      0.469614
    35           10864.3         0.254      5.11e+06      0.469614
    36           7969.37         0.313      1.38e+06      0.939229
    37            412636         0.907      2.73e+07       3.75692
    38           2848.83             1          -186       30.0553
    39           16443.3             1      2.26e+05       10.0184
    40           28548.7         0.814      3.28e+04       20.0369
    41           4262.73             1      3.65e+03       80.1475
    42           2778.17             1         -28.3        641.18
    43           2614.78         0.828           -96       213.727
    44           2339.78         0.979          -141       213.727
    45           2005.76             1          -149       213.727
    46           1642.48             1         -95.7       71.2423
    47           1546.81             1          41.9       23.7474
    48           1506.57             1         -1.24        18.048
    49           1504.67         0.585         -1.39       6.01599
    50           1503.76             1        -0.326       6.01599
    51           1497.21             1         -1.53       2.00533
    52           1496.79        0.0655         -3.06       1.56964
    53           1493.96             1        -0.436       1.56964
    54           1493.93        0.0103         -1.82        1.4401
    55            1493.9       0.00634         -1.82        1.4401
    56           1491.22             1         -1.04        1.4401
    57           1486.52             1         -2.06      0.875753
    58           1474.15          0.72         -5.92      0.361587
    59            1467.6             1          3.71      0.361587
    60           1466.76        0.0392          -9.7      0.362031
    61           1464.49             1          2.37      0.362031
    62           1465.74             1          7.46      0.382585
    63           1463.84             1           3.7      0.765169
    64           1462.59             1          1.46      0.970246
    65           1461.84             1         0.609       1.06775
    66           1461.84      3.46e-05        -0.459       1.06722
    67           1461.49             1        0.0794       1.06722
    68           1461.31             1       -0.0249       1.06411
    69           1461.15             1       -0.0482      0.704805
    70           1461.02             1        -0.048      0.542212
    71            1460.9             1       -0.0407      0.352688
    72           1460.84         0.571       -0.0454      0.300386
    73           1460.82         0.173       -0.0439      0.300386
    74           1460.75             1       -0.0275      0.300386
    75           5345.83         0.482      7.66e+05      0.187329
    76           1419.03         0.721         -7.72      0.374659
    77           1424.63             1          39.3      0.374659
    78           1412.24             1          8.09      0.749318
    79           1406.21         0.954        -0.826      0.749375
    80           1405.88             1       -0.0732      0.749375
    81           1405.41             1         -0.23      0.249792
    82           1403.06         0.559          -2.1     0.0832639
    83           1403.45             1          4.58     0.0832639
    84           1402.76             1       -0.0604      0.166528
    85           3461.98         0.773      1.48e+05     0.0963285
    86           1402.73             1          2.64      0.192657
    87           1416.71             1          61.7      0.322193
    88           1401.48             1       -0.0198      0.644387
    89           1402.54             1          5.55      0.460866
    90           1400.66             1        -0.182      0.921732
    91           1401.17             1          2.78      0.485133
    92           1400.16             1        -0.127      0.970266
    93           1428.87             1          66.9      0.759625
    94           1402.97             1          7.33       1.51925
    95           1399.49             1        -0.139         6.077
    96           1400.36             1          2.43       2.04758
    97           1399.23             1        0.0874       4.09516
    98           1398.74             1        -0.161       4.08258
    99           1398.31             1       -0.0117       1.36086
   100           1397.91             1        -0.117       1.02272
   101           1397.66             1       -0.0709      0.629387
   102           1397.49             1       -0.0588      0.564504
   103           1397.37             1       -0.0428      0.457902
   104           1397.29             1       -0.0332      0.366788
   105           1397.22             1       -0.0266       0.28901
   106           1397.16             1       -0.0215      0.226341
   107           1397.12             1       -0.0174      0.177571
   108           1397.08             1       -0.0139      0.139895
   109           1397.06             1       -0.0111       0.11072
   110           1397.03             1      -0.00879     0.0879191
   111           1397.02             1      -0.00697     0.0699148
   112              1397             1      -0.00553     0.0555861
   113           1396.99             1      -0.00429     0.0441144
   114           1396.99             1       0.00258     0.0346036
   115           1396.99         0.165         0.019     0.0346047
   116           1396.99         0.201       0.00902     0.0692094
   117           1396.99         0.341     -0.000448      0.276838
   118           1396.98             1     -0.000458      0.276838
   119           1396.98             1     -0.000409      0.181861
   120           1396.98             1     -6.35e-05       0.08535
   121           1396.99             1        0.0197     0.0829354
   122           1396.98             1       0.00276      0.165871
   123           1396.98             1     -0.000127      0.663483
   124           1396.98             1     -0.000123      0.502746
   125           1396.98             1     -0.000338      0.167582
   126           1396.98         0.418     -0.000931     0.0558606
   127           1396.98             1     -0.000791     0.0558606
   128           1396.97             1      0.000547     0.0186202
   129           1398.17             1          2.64     0.0185694
   130           1397.35             1           0.8     0.0371388
   131           1396.98             1        0.0209      0.148555
   132           1396.97             1     -0.000173       1.18844
   133           1396.97             1     -1.65e-05      0.402797

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.
Warning: LSQLIN did not converge. Infeasible network contraints.
> In mylsqlin
In multistart
In multistart
In estimate
In inca_script (line 160)
Warning: Network is ill-conditioned.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             1e+22

 Maximum lambda value exceeded.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            490438
     1            490428      1.06e-05     -4.82e+05       1.18689
     2            490234      0.000201     -4.82e+05       1.18689
     3            490087      0.000153     -4.82e+05       1.18689
     4            447171        0.0408     -5.69e+05       1.18689
     5            325877         0.105     -6.76e+05       1.18689
     6            297536        0.0384     -4.26e+05       1.18689
     7            294912       0.00446     -2.98e+05       1.18689
     8            276731        0.0298     -3.25e+05       1.18689
     9            276585      0.000272     -2.69e+05       1.18689
    10            202744         0.102     -4.85e+05       1.18689
    11            176501        0.0563      -2.8e+05       1.18689
    12            128542        0.0979     -3.77e+05       1.18689
    13            116476        0.0452     -1.45e+05       1.18689
    14             52754         0.193     -2.67e+05       1.18689
    15           5977.71         0.433       1.3e+05       1.18689
    16           2984.77          0.47      1.58e+04       1.18689
    17           2289.16         0.693      3.54e+03       1.18689
    18            2084.1         0.522      2.23e+03       1.18689
    19           2051.37        0.0944          -168       1.18689
    20           1944.98             1        -0.944       1.18689
    21            1980.2          0.78           990      0.456903
    22            1813.2         0.648           616      0.913806
    23           1647.69             1           6.6      0.913806
    24           1627.69             1          53.4      0.537373
    25           1488.94             1         -15.5      0.620354
    26           1465.13         0.594         -9.33       0.43749
    27           1454.95             1          -1.2       0.43749
    28           1451.01        0.0789         -21.5       0.14583
    29            1442.7         0.436        -0.703       0.14583
    30           1427.22         0.804           130       0.14583
    31            1417.8             1          2.07       0.14583
    32           1416.67             1         0.526      0.101025
    33           1416.48             1         0.161     0.0990643
    34           1405.67         0.611         -4.45     0.0990637
    35           1403.13             1        -0.194     0.0990637
    36           1402.69         0.438        -0.345     0.0330212
    37           1402.47             1       -0.0161     0.0330212
    38           1401.39             1        -0.231      0.011259
    39           1400.29         0.153         -21.5     0.0104686
    40           1399.86             1        0.0345     0.0104686
    41           1399.81             1        0.0181    0.00780222
    42           1389.46         0.505         0.835    0.00779549
    43           1385.14             1        -0.336    0.00779549
    44           1384.45             1         0.188    0.00620533
    45           1384.53         0.941         0.501    0.00599565
    46           1384.53          0.97         0.479     0.0119913
    47           1384.75         0.368          3.45     0.0479652
    48           1384.27             1         0.441      0.383722
    49           1384.07             1         0.262      0.466115
    50           1383.59         0.246        -0.621      0.470974
    51           1383.58       0.00471        -0.549      0.470974
    52           1383.57        0.0264        -0.241      0.470974
    53           1383.32             1       -0.0402      0.470974
    54           1383.19             1       -0.0367      0.156991
    55           1383.11             1       -0.0241      0.106863
    56           1383.05             1       -0.0186      0.100781
    57           1383.01             1       -0.0127     0.0949774
    58           1382.99             1      -0.00879      0.086408
    59           1382.97             1      -0.00659     0.0752113
    60           1382.96             1      -0.00553     0.0621686
    61           1382.94             1      -0.00542     0.0479844
    62           1382.93             1      -0.00687     0.0327856
    63           1382.92             1        0.0319     0.0157168
    64            1382.9             1      -0.00159     0.0157273
    65           1784.33         0.388      2.14e+04     0.0125432
    66           1782.88          0.54      1.49e+04     0.0250864
    67           1381.09             1          7.07      0.100345
    68           1380.75             1          3.78      0.100951
    69            1377.9             1        -0.331      0.151734
    70           1377.79             1       -0.0156     0.0505781
    71           1377.76             1         -0.01     0.0168594
    72           1666.92         0.236      9.76e+04    0.00561979
    73           1673.09          0.47       4.5e+04     0.0112396
    74            1376.6             1        -0.284     0.0449583
    75           1616.31         0.751      1.69e+04     0.0176134
    76           1377.43             1          3.35     0.0352267
    77           1376.46             1         0.506      0.140907
    78           1376.14             1       -0.0282      0.141772
    79           1373.98        0.0475         -23.2     0.0472575
    80           1373.48             1         0.597     0.0472575
    81           1379.26             1          33.3      0.046698
    82           1373.11             1       0.00114     0.0933959
    83           1626.55         0.866      2.85e+03     0.0499475
    84           1375.13             1          6.22      0.099895
    85           1372.93             1       -0.0582       0.39958
    86           1372.91        0.0373        -0.224      0.133193
    87            1374.9             1          6.13      0.133193
    88           1372.75             1         0.132      0.266387
    89            1372.8             1         0.981      0.261803
    90           1372.36             1        -0.126      0.523607
    91            1387.7             1          48.2      0.174536
    92           1372.42             1         0.724      0.349071
    93           1372.22             1       -0.0544       1.39628
    94           1372.13             1          0.21      0.465428
    95              1372             1         0.165      0.470385
    96           1371.94             1         0.265      0.472425
    97           1371.71             1      -0.00787       0.59622
    98           1371.71             1         0.142      0.514924
    99           1371.54             1       -0.0366      0.954817
   100           1371.58         0.717         0.349      0.318272
   101           1371.48             1        0.0115      0.636545
   102           1371.44         0.216       -0.0925      0.617225
   103           1371.43             1        0.0287      0.617225
   104            1371.4             1      -0.00487      0.799275
   105           1371.41             1        0.0318      0.549774
   106           1371.39             1       -0.0024       1.09955
   107           1371.39             1         0.012      0.661652
   108           1371.39             1      -0.00146        1.3233
   109           1371.38             1       0.00423      0.775549
   110           1371.38             1     -0.000923      0.838099
   111           1371.37             1       0.00105      0.733167
   112           1371.37             1     -0.000185      0.732361
   113           1371.37             1      7.88e-05       0.69687
   114           1371.36             1     -0.000141      0.678156
   115           1371.36             1     -8.37e-05      0.647259
   116           1371.36             1      -0.00014      0.621331
   117           1371.35             1     -0.000122      0.591843
   118           1371.35             1     -0.000136      0.564516
   119           1371.35             1     -0.000127      0.536752
   120           1371.35             1     -0.000128      0.510436
   121           1371.35             1     -0.000123      0.484756
   122           1371.34             1      -0.00012        0.4603
   123           1371.34             1     -0.000115      0.436792
   124           1371.34             1     -0.000112      0.414387
   125           1371.34             1     -0.000108      0.392971
   126           1371.34             1     -0.000105      0.372558
   127           1371.34             1     -0.000102      0.353081
   128           1371.33             1     -9.98e-05      0.334516
   129           1371.33             1     -9.74e-05      0.316811
   130           1371.33             1     -9.52e-05      0.299931
   131           1371.33             1     -9.33e-05      0.283835
   132           1371.33             1     -9.16e-05      0.268486
   133           1371.33             1     -9.01e-05      0.253848
   134           1371.33             1     -8.88e-05       0.23989
   135           1371.32             1     -8.76e-05      0.226579
   136           1371.32             1     -8.98e-05      0.213887
   137           1371.32             1     -9.15e-05      0.201561
   138           1371.32             1     -9.37e-05       0.18967
   139           1371.32             1      -9.4e-05      0.178204
   140           1371.32             1     -9.45e-05      0.167297
   141           1371.32         0.976     -0.000124      0.156925
   142           1371.32             1     -0.000224      0.156925
   143           1371.32             1     -0.000591     0.0523082

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            170405
     1            170400       1.6e-05     -1.67e+05      0.987759
     2            170367      9.94e-05     -1.67e+05      0.987759
     3            170360      2.08e-05     -1.67e+05      0.987759
     4            169969       0.00117     -1.66e+05      0.987759
     5            160208        0.0301     -1.58e+05      0.987759
     6            136925        0.0791     -1.38e+05      0.987759
     7            128921        0.0307     -1.27e+05      0.987759
     8           97264.7         0.157      -6.4e+04      0.987759
     9           77005.2         0.121     -7.25e+04      0.987759
    10           63258.6        0.0946     -7.06e+04      0.987759
    11           42785.4         0.115     -1.33e+05      0.987759
    12           22780.6          0.15     -1.17e+05      0.987759
    13             19410        0.0732     -2.55e+04      0.987759
    14           8786.14         0.199     -4.46e+04      0.987759
    15           1859.59         0.444      5.59e+03      0.987759
    16           2007.47         0.496      3.54e+04      0.987759
    17           2197.17         0.565      2.71e+04       1.97552
    18           1859.57      2.02e-05          -454       7.90207
    19            2307.3          0.88      1.14e+04       7.90207
    20           1749.13             1           836       15.8041
    21           1427.88             1          59.4        18.175
    22           1400.43             1         0.447       6.05832
    23           1384.24             1          0.83       2.01944
    24           1379.99         0.423         -4.11       1.08061
    25           1378.74          0.25          -2.3       1.08061
    26            1376.6             1        -0.432       1.08061
    27           1376.15             1       -0.0165      0.489416
    28           1376.03             1       -0.0356       0.44625
    29           1375.96         0.826       -0.0342       0.14875
    30           1375.95             1      -0.00233       0.14875
    31           1375.94             1      -0.00108     0.0780165
    32           1375.94         0.826      -0.00301     0.0723396
    33           1375.93             1      -0.00314     0.0723396
    34           1375.91             1      -0.00298     0.0307787
    35           1375.87             1       -0.0351     0.0241936
    36           1377.69         0.344          68.1    0.00806452
    37           1377.63         0.683          34.2      0.016129
    38           1375.82         0.842       -0.0327     0.0645162
    39           1375.71             1       -0.0727     0.0645162
    40           1376.61          0.37            16     0.0215054
    41           1376.62         0.729          8.34     0.0430108
    42           1375.61             1       -0.0574      0.172043
    43           1376.18         0.717          4.77     0.0573477
    44           1375.45             1         0.153      0.114695
    45           1375.44         0.417         0.764     0.0893086
    46           1375.65         0.177          3.04     0.0893086
    47           1375.76         0.345          2.44      0.178617
    48            1375.6             1          1.02      0.714469
    49           1374.93             1       -0.0652       5.71575
    50           1374.86             1         0.045       1.90525
    51           1374.72             1      -0.00663       1.90463
    52           1374.64         0.841         0.123       1.76247
    53           1374.61             1         0.184       1.76247
    54           1374.41             1        -0.035       2.48176
    55           1374.43             1         0.104       1.39074
    56           1374.37             1       -0.0107       2.78148
    57           1374.34             1       0.00251       1.94824
    58           1374.31             1      -0.00865       1.92266
    59           1374.29             1      -0.00131       1.43894
    60           1374.26             1      -0.00844       1.37362
    61           1374.23             1      -0.00149      0.990428
    62           1374.21             1      -0.00843      0.943436
    63           1374.19             1      -0.00147      0.653759
    64           1374.16             1      -0.00938      0.623779
    65           1374.13             1      -0.00371      0.399595
    66           1374.09             1       -0.0135      0.373291
    67           1374.05             1       -0.0113      0.228837
    68           1374.01             1       -0.0166      0.199247
    69           1373.97             1       -0.0156      0.142018
    70           1378.21             1          10.6       0.11781
    71           1374.54             1          2.19      0.235619
    72           1373.58             1         0.105      0.942476
    73            1373.3             1       -0.0766      0.826209
    74           1373.17             1       0.00846      0.407894
    75           1373.02             1       -0.0028      0.393622
    76           1372.83             1        0.0275      0.298356
    77           1372.66             1         0.323      0.277563
    78           1372.06             1        -0.146      0.282484
    79           1373.93             1          4.37      0.161554
    80           1371.87             1        0.0539      0.323108
    81           1371.76         0.619        -0.033      0.315446
    82           1371.63             1        0.0435      0.315446
    83           1371.61        0.0371        -0.263      0.314323
    84           1371.59             1         0.106      0.314323
    85           1371.48             1       -0.0199      0.442721
    86           1371.74             1         0.549      0.199784
    87           1371.47             1        0.0138      0.399568
    88           1371.45             1      -0.00054      0.413348
    89           1371.44             1       0.00196      0.391294
    90           1371.42             1      -0.00033      0.388734
    91           1371.41             1     -0.000163      0.372822
    92           1371.41             1     -0.000549      0.359987
    93            1371.4             1     -0.000541      0.342154
    94           1371.39             1     -0.000595      0.324625
    95           1371.39             1      -0.00058      0.306188
    96           1371.38             1     -0.000563      0.288206
    97           1371.37             1      -0.00054      0.270788
    98           1371.37             1      -0.00051      0.254098
    99           1371.36             1     -0.000485      0.238332
   100           1371.36             1     -0.000456       0.22338
   101           1371.36             1     -0.000432       0.20934
   102           1371.35             1     -0.000406      0.196086
   103           1371.35             1     -0.000385      0.183641
   104           1371.35             1     -0.000363       0.17191
   105           1371.34             1     -0.000352      0.160882
   106           1371.34             1     -0.000339      0.150331
   107           1371.34             1     -0.000331      0.140336
   108           1371.33             1     -0.000331      0.130812
   109           1371.33         0.512      -0.00129      0.121614
   110           1371.33             1     -0.000866      0.121614
   111           1371.33             1       -0.0019     0.0405379
   112           1371.32             1      -0.00199      0.025368
   113           1371.32             1      -0.00171     0.0183326
   114           1371.31             1      -0.00125     0.0140859
   115           1371.31             1     -0.000458     0.0115667
   116           1371.31             1       0.00162     0.0112094
   117           1371.31          0.64       0.00273     0.0143877
   118           1371.31             1        0.0038     0.0143877
   119           1371.31             1       0.00322     0.0287755
   120           1371.31             1       0.00113      0.115102
   121           1371.31             1      0.000509      0.140191
   122           1371.31             1      0.000167      0.149334
   123           1371.31             1      3.59e-05      0.151747
   124           1371.31             1     -1.04e-05      0.151747
   125           1371.31             1     -2.72e-05      0.145768
   126           1371.31             1      -4.5e-05      0.103731

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            249944
     1            249807      0.000279     -2.46e+05       2.30868
     2            249706      0.000206     -2.46e+05       2.30868
     3            249669      7.56e-05     -2.46e+05       2.30868
     4            249636      6.73e-05     -2.46e+05       2.30868
     5            249504      0.000269     -2.45e+05       2.30868
     6            249464      8.07e-05     -2.45e+05       2.30868
     7            249406      0.000118     -2.45e+05       2.30868
     8            247244       0.00443     -2.43e+05       2.30868
     9            222434        0.0535     -2.23e+05       2.30868
    10            222357      0.000175     -2.19e+05       2.30868
    11            217049        0.0123     -2.13e+05       2.30868
    12            185353        0.0771     -2.04e+05       2.30868
    13            169667        0.0404     -2.11e+05       2.30868
    14            143519        0.0649     -2.59e+05       2.30868
    15            138237        0.0181     -1.53e+05       2.30868
    16            134443        0.0138     -1.41e+05       2.30868
    17            107688        0.0873     -1.78e+05       2.30868
    18           36287.2         0.244     -1.88e+05       2.30868
    19           4203.52         0.427      7.51e+04       2.30868
    20           3982.81        0.0539     -1.39e+03       2.30868
    21           2007.69         0.547           330       2.30868
    22           9307.34             1      3.81e+04       2.30868
    23           2816.17             1      3.69e+03       4.61737
    24           1533.67             1         -25.1       18.4695
    25           1464.48             1         -10.2       6.70071
    26           1435.14             1         -6.08       3.57431
    27           1433.21        0.0491         -19.6       1.19144
    28            1426.5             1         0.994       1.19144
    29           1423.61             1        -0.594      0.989345
    30           1422.91         0.642        -0.423      0.329782
    31           1422.72         0.386        -0.225      0.329782
    32           1422.65         0.215        -0.139      0.329782
    33           1422.51             1         -0.05      0.329782
    34           1431.78             1          18.9       0.16312
    35           1421.88             1          2.62      0.326239
    36           1417.54             1        -0.868      0.462318
    37            1413.8         0.261          16.5      0.154106
    38           3230.97         0.332      9.89e+04      0.154106
    39           3160.35         0.451      6.79e+04      0.308212
    40           1545.28             1      1.05e+03       1.23285
    41            1394.9             1         -4.27       9.86278
    42           1383.73             1         -3.97       3.28759
    43           1378.79         0.859         -2.15       1.09586
    44           1378.33             1       0.00904       1.09586
    45           1377.71             1         -0.19      0.945395
    46           1377.69         0.013        -0.771      0.623102
    47            1378.2             1          1.37      0.623102
    48           1377.52             1       -0.0344        1.2462
    49           1377.45             1        0.0528       1.02758
    50           1377.33             1      -0.00599       1.02861
    51           1377.25             1       0.00476      0.972609
    52           1377.18             1      -0.00489      0.956364
    53           1377.13             1      -0.00188      0.904969
    54           1377.12        0.0633       -0.0424      0.871327
    55           1377.08             1      -0.00318      0.871327
    56           1377.04             1      -0.00332      0.828915
    57           1377.01             1      -0.00253      0.782492
    58           1376.98             1      -0.00254      0.741633
    59           1376.95             1      -0.00216       0.69914
    60           1376.93             1      -0.00208      0.659965
    61           1376.91             1      -0.00184      0.620967
    62           1376.89             1      -0.00173      0.584534
    63           1376.88             1      -0.00156      0.549258
    64           1376.86             1      -0.00145      0.516193
    65           1376.85             1      -0.00132      0.484673
    66           1376.84         0.504      -0.00573        0.4551
    67           1376.83             1      -0.00353        0.4551
    68           1376.81             1      -0.00746        0.1517
    69           1376.79             1      -0.00837     0.0803572
    70           1376.78             1       -0.0078     0.0490126
    71           1376.76             1       -0.0076     0.0294648
    72           1376.74             1      -0.00887     0.0168656
    73           1376.68             1       -0.0649     0.0069214
    74           1376.49         0.162         -2.27    0.00230713
    75           1376.47             1       0.00502    0.00230713
    76           1376.48             1        0.0269    0.00227307
    77           1376.48             1        0.0271    0.00454613
    78           1376.48             1        0.0232     0.0181845
    79           1376.47             1       0.00504      0.145476
    80           1376.35             1       -0.0542      0.151993
    81           1376.07             1       -0.0771     0.0506645
    82           1375.99             1       0.00494     0.0262753
    83           1375.99             1        0.0114     0.0137598
    84           1375.99             1       0.00942     0.0275195
    85           1375.98             1       0.00354      0.110078
    86           1375.98             1       0.00236      0.111629
    87           1375.98             1       0.00113      0.139237
    88           1375.98             1      0.000429      0.154495

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            738472
     1            738453      1.31e-05     -7.27e+05       16.8538
     2             53566         0.558     -3.36e+05       16.8538
     3           49745.9        0.0387     -4.79e+04       16.8538
     4           47733.9        0.0217     -4.56e+04       16.8538
     5           23854.8         0.327     -3.07e+04       16.8538
     6           11860.9         0.377     -1.13e+04       16.8538
     7           8019.74         0.233     -6.66e+03       16.8538
     8           2108.92         0.986          -942       16.8538
     9           1467.32             1          -101       16.8538
    10           1413.55             1         -10.9       5.61792
    11            1400.2             1        -0.418       1.87264
    12           1378.93         0.291         -40.1       1.74996
    13           1374.01         0.337         -6.28       1.74996
    14           1373.52        0.0396         -6.03       1.74996
    15            1370.6         0.265         -5.08       1.74996
    16           1361.55             1         -3.86       1.74996
    17           1351.44         0.253         -18.4       0.58332
    18           1293.34             1         -27.5       0.58332
    19           1290.49       0.00705          -202       0.19444
    20            1182.5         0.298          -161       0.19444
    21           991.163         0.908         -31.4       0.19444
    22           986.186             1          2.89       0.19444
    23           985.693        0.0636         -3.79      0.193603
    24           981.903             1        0.0998      0.193603
    25           980.776         0.708          2.13      0.147509
    26           977.497             1        -0.395      0.147509
    27           976.381             1         -0.22      0.131138
    28           981.266             1          11.2     0.0831886
    29           976.293             1         0.264      0.166377
    30           976.156             1        0.0548      0.178332
    31           976.153             1          0.14      0.178232
    32           976.025             1       -0.0198      0.333803
    33            1047.6             1           128      0.122206
    34           982.346             1          14.5      0.244412
    35           974.661             1       -0.0118      0.977648
    36           974.992             1         0.959      0.325883
    37           974.494             1      -0.00273      0.651766
    38            974.35             1        -0.042      0.646543
    39           974.268             1       -0.0291      0.401226
    40           974.214             1       -0.0202      0.353743
    41           974.176             1       -0.0151      0.288221
    42           974.146             1       -0.0118      0.231727
    43           974.122             1      -0.00951      0.182826
    44           974.106             1       -0.0069      0.142826
    45           974.093             1      -0.00555     0.0968717
    46           974.081             1      -0.00542     0.0572344
    47           974.071             1      -0.00187     0.0344582
    48           974.178         0.453         0.426      0.032003
    49           974.136         0.721         0.165     0.0640061
    50           974.069             1       0.00144      0.256024
    51           974.067             1     -0.000535      0.264867
    52           974.064             1      -0.00124     0.0882889
    53           974.069             1        0.0177     0.0355185
    54           974.062             1      0.000833     0.0710369
    55           974.103         0.862        0.0882     0.0710534
    56           974.066             1        0.0105      0.142107
    57           974.061             1     -0.000388      0.568427
    58            974.06             1     -0.000263      0.388925
    59           974.059             1     -0.000471      0.195708
    60           974.056             1      -0.00129     0.0652361
    61           974.053             1       0.00182     0.0217454
    62           1008.76             1            98     0.0217459
    63           976.347             1           5.3     0.0434917
    64           974.059             1        0.0177      0.173967
    65            974.05             1     -0.000385       1.39173
    66           974.049             1     -0.000167      0.463911
    67           974.049             1      -0.00016      0.441121
    68           974.048             1     -0.000321      0.179621
    69           974.046             1     -0.000881     0.0598736
    70           974.049         0.734        0.0146     0.0199579
    71           974.047             1       0.00416     0.0399157
    72           974.046             1     -0.000229      0.159663
    73           974.045             1     -0.000217      0.127691
    74           974.044             1      0.000303       0.11502
    75           974.045             1       0.00341      0.115989
    76           974.044             1      6.69e-05      0.231977
    77           974.043             1     -0.000171      0.231975
    78           974.042         0.907     -0.000256      0.168658
    79           974.042             1     -0.000161      0.168658

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           95111.2
     1           95070.1      0.000228     -9.01e+04       0.69049
     2           95063.6      3.61e-05        -9e+04       0.69049
     3           95053.9      5.37e-05        -9e+04       0.69049
     4             95024      0.000166        -9e+04       0.69049
     5           95000.4      0.000131        -9e+04       0.69049
     6           94962.9      0.000208        -9e+04       0.69049
     7           94932.8      0.000167        -9e+04       0.69049
     8           94797.7       0.00075     -9.02e+04       0.69049
     9           94744.3      0.000297     -8.99e+04       0.69049
    10           84549.2        0.0514     -1.08e+05       0.69049
    11           83411.4       0.00692     -8.46e+04       0.69049
    12             75204        0.0433     -1.12e+05       0.69049
    13           64661.9        0.0607     -1.03e+05       0.69049
    14           63881.1       0.00643     -6.15e+04       0.69049
    15           52939.9        0.0807      -7.5e+04       0.69049
    16           49600.8         0.128      2.22e+05       0.69049
    17           33322.1          0.14     -7.76e+04       0.69049
    18           10358.2         0.227     -2.33e+04       0.69049
    19           7092.62         0.209     -8.34e+03       0.69049
    20           3286.48         0.572      1.97e+03       0.69049
    21           3109.68         0.181          -455       0.69049
    22           8055.08             1      3.49e+04       0.69049
    23           5537.64             1      1.49e+04       1.38098
    24           3512.18             1       2.8e+03       5.52392
    25           2874.22             1           221       44.1913
    26           2749.15             1           -15       38.7313
    27           2724.14             1         -6.28       12.9104
    28           2715.88         0.563         -5.76       7.50858
    29           2708.19             1          -2.9       7.50858
    30           2694.52             1          -6.8       3.54439
    31           2545.95             1         -75.2       1.18146
    32           2516.59         0.286         -33.1      0.393821
    33           2488.12         0.954         -2.57      0.393821
    34            2484.9             1          6.64      0.393821
    35            2484.9      2.07e-05         -4.64       0.39765
    36           2483.29             1          1.68       0.39765
    37           2483.17             1          3.47      0.434749
    38           2481.89             1         0.849      0.777559
    39           2481.58             1         0.315       0.82274
    40            2462.7         0.932          41.8      0.836924
    41           2433.09             1          -4.1      0.836924
    42           2430.64             1         -0.11      0.293967
    43           2430.43             1      -0.00912      0.097989
    44           2430.32             1        0.0701     0.0956652
    45           2430.17         0.574       -0.0187     0.0962111
    46           2430.13             1        0.0104     0.0962111
    47            2430.1             1        0.0321     0.0962098
    48           2430.09             1        0.0631      0.101541
    49           2430.06         0.894        0.0672      0.136677
    50           2430.05             1        0.0723      0.136677
    51           2430.04             1        0.0694      0.203776
    52           2430.02             1        0.0623      0.270779
    53              2430             1        0.0372      0.341314
    54           2429.98             1        0.0198      0.372875
    55           2429.97             1       0.00814      0.382435
    56           2429.95             1      0.000755      0.382862
    57           2429.94             1      -0.00234      0.378102
    58           2429.92             1      -0.00655      0.329737
    59           2429.93             1         0.114      0.163564
    60            2429.9             1      -0.00555      0.327128
    61           2429.95             1         0.213      0.175081
    62           2429.87             1      -0.00848      0.350162
    63           2430.44             1          1.57      0.148148
    64           2429.85             1        0.0277      0.296296
    65           2429.85             1         0.119      0.296496
    66           2429.74             1       -0.0225      0.565964
    67           2429.84             1         0.368      0.372058
    68           2429.68             1       -0.0144      0.744115
    69            2429.7             1         0.159      0.485751
    70           2429.63             1       -0.0161      0.971502
    71           2429.74             1         0.353      0.447392
    72           2429.59             1      -0.00798      0.894784
    73           2429.55             1        0.0369      0.691049
    74           2429.49             1        0.0295      0.692339
    75           2429.43             1        0.0262      0.692315
    76           2429.35             1        0.0216      0.692132
    77           2429.29             1        0.0333      0.691654
    78           2429.22             1        0.0126      0.691892
    79           2429.16             1      -0.00199      0.689952
    80           2429.11             1      -0.00545      0.667419
    81           2429.07             1      -0.00599       0.62635
    82           2429.04             1      -0.00582      0.573544
    83           2429.01             1      -0.00538      0.513434
    84           2428.99             1      -0.00495      0.451504
    85           2428.97             1      -0.00454       0.39074
    86           2428.96             1      -0.00422      0.333801
    87           2428.94             1      -0.00395      0.281516
    88           2428.93             1      -0.00377      0.234606
    89           2428.92             1      -0.00366      0.192888
    90           2428.91             1      -0.00364      0.156377
    91           2428.89             1       -0.0037      0.124649
    92           2428.88             1      -0.00386     0.0975746
    93           2428.87             1      -0.00413     0.0747264
    94           2428.87         0.265      -0.00725     0.0559457
    95           2428.85             1      -0.00441     0.0559457
    96           2428.84             1      -0.00481     0.0377112
    97           2428.83             1      -0.00583     0.0276961
    98           2428.81             1      -0.00651     0.0183602
    99           2428.79             1      -0.00773     0.0126799
   100           2428.77             1      -0.00284    0.00787313
   101           2428.88             1         0.482    0.00654452
   102           2428.75             1      -0.00349      0.013089
   103           2429.29             1          2.13    0.00719916
   104           2428.74             1        0.0258     0.0143983
   105           2428.78             1         0.164     0.0150775
   106           2428.72             1      -0.00263     0.0301551
   107           2428.71             1        0.0187     0.0217654
   108            2428.7             1       0.00648     0.0223746
   109           2428.68             1       0.00224     0.0223173
   110           2428.68             1        0.0113     0.0192178
   111           2428.68             1       0.00941     0.0384355
   112           2428.68             1        0.0059      0.153742
   113           2428.68             1      3.37e-05       1.22994
   114           2428.45             1       -0.0462       1.21466
   115           2428.31             1       -0.0554      0.924674
   116           2428.15             1          0.21      0.308225
   117           2428.97             1             3      0.304291
   118            2427.7             1        -0.123      0.608583
   119           2427.42             1         0.716      0.374267
   120           2425.73             1        -0.558      0.398683
   121           2425.34        0.0983         -1.88      0.274392
   122            2422.5         0.857         -1.32      0.274392
   123           2422.38             1        0.0346      0.274392
   124           2422.23             1      -0.00888      0.273983
   125            2422.1             1      0.000811      0.111987
   126           2421.97             1        -0.014      0.111986
   127           2421.87             1         0.356     0.0373288
   128            4250.6         0.514      1.75e+05     0.0413383
   129           2721.23             1      6.55e+03     0.0826766
   130           2421.41             1       -0.0737      0.330706
   131           2574.24             1      1.53e+03      0.110235
   132           2421.45             1          0.96      0.220471
   133           2421.29             1        -0.053      0.881884
   134           2421.16             1         0.399      0.293961
   135           2425.92             1          15.9      0.295818
   136           2420.68             1       -0.0152      0.591636
   137           2420.74             1          1.14      0.492017
   138           2420.26             1        -0.133      0.984034
   139           2420.37             1          1.07      0.465538
   140           2419.96             1       -0.0912      0.931077
   141           2419.62             1       -0.0622      0.681645
   142            2419.2             1        -0.154      0.628467
   143           2418.68             1        -0.217      0.438324
   144           2417.81             1        -0.391       0.28239
   145           2415.62             1         -1.03      0.144868
   146           2413.14         0.201         -6.11     0.0611246
   147           2407.78         0.209         -12.8     0.0611246
   148           2335.32             1         -34.7     0.0611246
   149           2023.69             1         -21.7     0.0203749
   150           2742.38         0.426       7.4e+03    0.00679162
   151           2741.84         0.822      3.74e+03     0.0135832
   152           2023.59             1          4.12     0.0543329
   153           2018.94             1        -0.331      0.105523
   154           2018.69             1       -0.0398     0.0351744
   155           2018.57             1       -0.0392       0.03431
   156           2018.47             1       -0.0429     0.0242328
   157           2018.36         0.314        -0.178     0.0138232
   158           2017.43             1         -0.38     0.0138232
   159           2016.68             1          1.19    0.00482337
   160           2016.16             1         0.571    0.00482638
   161           2015.85          0.66         0.266    0.00482864
   162           2015.83             1         0.121    0.00482864
   163           2015.32             1        -0.165    0.00709009
   164           2165.34         0.779           766    0.00236336
   165           2164.81         0.877           679    0.00472673
   166           2020.34             1          33.2     0.0189069
   167           2013.88             1        -0.705      0.151255
   168           2109.25         0.649           613     0.0504184
   169            2096.9         0.882           415      0.100837
   170              2004             1         -6.46      0.403347
   171            1957.7          0.21          -131      0.134449
   172           1944.79         0.141         -44.5      0.134449
   173           1852.61             1         -67.6      0.134449
   174           1774.81         0.724      2.85e+03     0.0448164
   175           1693.59         0.126          -173     0.0448164
   176           1311.45             1          33.8     0.0448164
   177           1288.06             1          1.05     0.0149388
   178           1281.46             1        -0.497     0.0147152
   179           1278.58             1         -0.54     0.0147146
   180           1276.32             1         -0.45     0.0147147
   181           1276.06             1       -0.0564     0.0090331
   182           1267.42             1         -1.34    0.00301103
   183           12410.1         0.267      8.06e+07    0.00100368
   184           12436.8         0.492      4.39e+07    0.00200736
   185           1266.48             1        -0.798    0.00802942
   186           12452.9        0.0388      2.31e+08    0.00267647
   187             12453        0.0824      1.09e+08    0.00535295
   188           12453.7         0.326      2.75e+07     0.0214118
   189           1265.76             1         -0.59      0.171294
   190           12396.4         0.192      2.82e+07     0.0570981
   191             12395          0.38      1.43e+07      0.114196
   192           1262.27             1         -4.94      0.456785
   193           12143.7         0.128       1.4e+07      0.152262
   194           12133.8         0.243      7.37e+06      0.304523
   195           12074.6         0.933      1.91e+06       1.21809
   196           1261.36             1        -0.482       9.74475
   197           1256.23             1         -4.55       3.24825
   198           11573.9         0.424       1.9e+06       1.08275
   199           11544.4         0.818      9.81e+05        2.1655
   200           1251.22             1         -3.51         8.662
   201           11115.1         0.792      6.81e+05       2.88733
   202           1230.02             1         -15.9       5.77466
   203           8692.38         0.344      4.41e+05       1.92489
   204           8528.89         0.562      2.64e+05       3.84978
   205           1198.11             1         -15.4       15.3991
   206           5267.55         0.704      6.02e+04       5.13303
   207           1873.45             1      4.54e+03       10.2661
   208           1174.86             1           -11       41.0643
   209           1181.48             1           148       13.6881
   210           1152.33             1          -8.7       27.3762
   211           1143.04             1          33.1        9.1254
   212           1128.48             1       -0.0447       9.16747
   213           1127.21             1         0.352       3.05582
   214           1126.93             1         0.192       2.91765
   215           1126.84             1        0.0865       2.91702
   216           1126.81             1        0.0346       2.92455
   217           1126.78         0.475       -0.0216       2.92853
   218           1126.76             1      -0.00325       2.92853
   219           1126.76             1     -0.000181      0.976175
   220           1126.76         0.502     -0.000334      0.396191
   221           1126.76             1     -0.000141      0.396191
   222           1126.76             1     -0.000232      0.132064
   223           1126.76             1     -0.000614     0.0440212
   224           1126.75             1      -0.00152     0.0146737
   225           1126.75             1      -0.00282    0.00521036
   226           1126.74             1      -0.00278    0.00313982
   227           1126.74         0.297      -0.00372    0.00174535
   228           1126.73             1      -0.00323    0.00174535
   229            1126.7             1       -0.0219   0.000581784
   230           5686.81         0.103      1.02e+09   0.000193928
   231           5686.81         0.207      5.09e+08   0.000387856
   232            5686.8         0.819      1.29e+08    0.00155143
   233            1126.7             1      -0.00443     0.0124114
   234           1126.54             1        -0.339    0.00413713
   235           5686.57        0.0271      7.72e+08    0.00137904
   236           5686.57        0.0536      3.91e+08    0.00275809
   237           5686.58         0.212      9.88e+07     0.0110324
   238           1126.36         0.786        -0.214     0.0882588
   239           5686.48         0.909      1.23e+07     0.0882588
   240           1125.88             1        -0.529      0.176518
   241           5685.85         0.274      1.83e+07     0.0588392
   242           5685.96         0.546      9.18e+06      0.117678
   243           1125.14             1        -0.685      0.470714
   244           5685.16         0.394      6.82e+06      0.156905
   245           5685.45         0.784      3.42e+06      0.313809
   246           1124.36             1        -0.567       1.25524
   247           5684.92         0.708      2.55e+06      0.418412
   248           1118.68             1         -9.25      0.836825
   249           5677.01         0.165      3.12e+06      0.278942
   250           5676.84         0.302      1.69e+06      0.557883
   251           1088.18             1          26.8       2.23153
   252           5597.39         0.415      1.19e+05      0.743844
   253           5589.89         0.484         1e+05       1.48769
   254           1698.45         0.682      9.25e+04       5.95075
   255           1043.49             1           -15        47.606
   256           1357.13         0.419      7.55e+04       15.8687
   257           1358.42         0.613      5.26e+04       31.7373
   258           1028.67             1         -7.99       126.949
   259           1352.29         0.237      6.14e+04       42.3165
   260           1349.62         0.316      4.57e+04       84.6329
   261           1347.83         0.782      1.85e+04       338.532

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           59393.4
     1           34696.7         0.178     -7.83e+04      0.223123
     2           27869.2        0.0907     -4.06e+04      0.223123
     3           20474.2         0.139     -2.56e+04      0.223123
     4           6480.92         0.484     -9.39e+03      0.223123
     5           6453.77       0.00264     -5.11e+03      0.223123
     6           5099.59         0.172     -3.02e+03      0.223123
     7           4279.05         0.142     -2.22e+03      0.223123
     8           2544.17         0.973          -275      0.223123
     9            2469.3        0.0322     -1.03e+03      0.223123
    10           2226.77         0.155          -501      0.223123
    11           2164.02         0.031          -910      0.223123
    12            2134.6        0.0142          -985      0.223123
    13           2098.68        0.0179          -947      0.223123
    14           1512.64             1         -84.1      0.223123
    15           1403.51         0.105          -497      0.223032
    16           1008.73             1         -48.3      0.223032
    17           997.437         0.328         -14.1     0.0743441
    18           986.339             1         -1.44     0.0743441
    19           1492.21         0.715      2.25e+03     0.0247814
    20           1123.79             1           367     0.0495627
    21           985.678             1         0.341      0.198251
    22           985.336             1      -0.00339      0.168783
    23           1001.34             1          30.3       0.13986
    24           986.521             1          6.95      0.279721
    25           982.862             1         0.081       1.11888
    26           982.348             1        -0.113      0.802502
    27           982.092             1       -0.0805      0.787403
    28           981.961             1       -0.0471      0.667329
    29           981.876             1       -0.0319      0.572277
    30           981.816             1       -0.0234      0.471746
    31            981.77             1       -0.0181      0.381226
    32           981.734             1       -0.0143      0.303912
    33            981.71         0.806       -0.0126      0.240296
    34           981.689             1      -0.00871      0.240296
    35           981.672             1      -0.00703      0.170376
    36           981.658             1      -0.00609      0.110119

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            137002
     1            136407        0.0022     -1.37e+05       1.38282
     2            135795       0.00227     -1.37e+05       1.38282
     3            135207       0.00219     -1.36e+05       1.38282
     4            133788       0.00521      -1.4e+05       1.38282
     5            132404       0.00514     -1.39e+05       1.38282
     6            132190      0.000825      -1.3e+05       1.38282
     7            129507       0.00984     -1.44e+05       1.38282
     8           96888.7        0.0868     -2.49e+05       1.38282
     9           83004.5        0.0612     -1.33e+05       1.38282
    10           42595.9         0.169     -1.56e+05       1.38282
    11           30564.6         0.149     -4.49e+04       1.38282
    12           28911.7        0.0288     -2.89e+04       1.38282
    13           27453.6         0.027     -2.72e+04       1.38282
    14           25707.8        0.0337     -2.63e+04       1.38282
    15           15357.4         0.175     -4.17e+04       1.38282
    16           13692.2        0.0566     -1.56e+04       1.38282
    17            4785.2         0.279      -1.9e+04       1.38282
    18           1615.89         0.522           417       1.38282
    19           1472.58         0.448          -116       1.38282
    20           1467.13          0.99      5.51e+03       1.38282
    21           1455.66         0.242         -21.2       1.38282
    22           1441.25             1          4.06       1.38282
    23           1432.61         0.679         -4.01      0.623676
    24           1431.14             1        -0.143      0.623676
    25           1430.31             1         -0.26      0.207892
    26           1430.03             1        0.0505     0.0692974
    27           1429.94             1          0.25     0.0544503
    28            1429.7             1        0.0222     0.0759914
    29           1429.54             1        -0.173     0.0420058
    30           1429.46       0.00232           -17     0.0140019
    31           1425.38         0.148         -11.1     0.0140019
    32            1423.1         0.093         -11.5     0.0140019
    33           1417.99         0.149         -55.5     0.0140019
    34            1412.7             1        -0.402     0.0140019
    35           1411.19             1          -1.7    0.00989606
    36           1862.94        0.0763      3.32e+05    0.00329869
    37           1862.91        0.0891      2.82e+05    0.00659738
    38           1862.85         0.166      1.46e+05     0.0263895
    39           1862.62         0.879      2.56e+04      0.211116
    40           1410.01             1        -0.544       1.68893
    41           1404.23             1         -3.04      0.562976
    42            1405.4         0.404           159      0.187659
    43           1395.69         0.508          6.55      0.375317
    44           1391.73         0.877        -0.359      0.375317
    45           1390.98             1       -0.0525      0.375317
    46           1390.96             1       0.00127      0.125106
    47           1390.96             1     -3.58e-05      0.112346
    48           1390.83             1       0.00469     0.0974249
    49           1390.83             1       0.00135      0.032475
    50           1390.82             1       0.00109      0.032318
    51           1391.35          0.36          2.79      0.032279
    52           1391.38         0.506          2.06      0.064558
    53           1388.19         0.109         -10.9      0.258232
    54           1385.87         0.122         -8.58      0.258232
    55           1378.97             1       -0.0455      0.258232
    56           1377.48             1      -0.00268      0.212276
    57           1376.65         0.274         -1.42      0.157655
    58           1376.41             1        0.0143      0.157655
    59           1373.73             1        -0.776      0.157655
    60           1372.55             1        -0.138     0.0881438
    61           1372.54        0.0348        -0.125     0.0293813
    62           1372.42             1       -0.0139     0.0293813
    63           1372.37             1       -0.0182     0.0189314
    64           2432.15         0.416      4.59e+05    0.00946911
    65           2430.52         0.812      2.31e+05     0.0189382
    66           1372.34             1       -0.0129     0.0757529
    67           2417.44         0.744      1.78e+05      0.025251
    68           1372.33             1         0.353     0.0505019
    69           2352.88         0.898      4.37e+04     0.0745799
    70           1372.41             1          1.04       0.14916
    71           1372.16             1       -0.0311      0.596639
    72           1372.18             1         0.488       0.19888
    73           1372.08             1       -0.0361      0.397759
    74           1401.15             1           211      0.132586
    75           1372.08             1         0.421      0.265173
    76           1371.76             1       -0.0517      0.490084
    77           1372.53             1          2.69       0.25495
    78            1371.6             1       0.00918        0.5099
    79           1371.47             1     -0.000291      0.432754
    80           1371.37             1       -0.0218      0.375181
    81           1371.33             1      -0.00654      0.220441
    82           1371.32             1      -0.00405      0.165512
    83           1371.31             1      -0.00117     0.0583712
    84           1371.31             1     -0.000949     0.0311846
    85           1371.31             1     -0.000892     0.0198987
    86            1371.3             1     -0.000688     0.0160643
    87            1371.3             1     -0.000488     0.0131275
    88            1371.3             1     -0.000105     0.0112083
    89            1371.3             1      0.000579     0.0109281
    90            1371.3             1       0.00237     0.0153642
    91            1371.3             1       0.00197     0.0307284
    92            1371.3             1      0.000688      0.122914
    93            1371.3             1      0.000293      0.153019

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           52731.8
     1           52727.8      3.95e-05     -5.05e+04      0.223656
     2           52721.7      6.09e-05     -5.05e+04      0.223656
     3             52715      6.62e-05     -5.05e+04      0.223656
     4           52713.3       1.7e-05     -5.05e+04      0.223656
     5           52692.5      0.000206     -5.04e+04      0.223656
     6           52646.8      0.000453     -5.04e+04      0.223656
     7             48972        0.0388     -4.53e+04      0.223656
     8           48829.3       0.00153     -4.64e+04      0.223656
     9           41289.6        0.0928     -3.86e+04      0.223656
    10           41212.4      0.000977     -3.94e+04      0.223656
    11           41207.7      6.08e-05     -3.94e+04      0.223656
    12           41194.5      0.000166     -3.94e+04      0.223656
    13           40343.1        0.0105     -4.18e+04      0.223656
    14           26920.1         0.116     -8.51e+04      0.223656
    15           19669.3        0.0987     -5.69e+04      0.223656
    16           9466.47         0.216     -3.48e+04      0.223656
    17           6229.57         0.195     -9.17e+03      0.223656
    18           3242.89         0.261     -6.46e+03      0.223656
    19           2426.27         0.558      6.27e+03      0.223656
    20           2910.42         0.497      5.73e+03      0.223656
    21           2748.81         0.514      4.34e+03      0.447312
    22           1851.88         0.755       2.8e+03       1.78925
    23           3657.13             1      8.11e+03       1.78925
    24           1690.05         0.629           115        3.5785
    25           1586.22             1           756        3.5785
    26           1447.54             1         -22.1       3.57739
    27           1417.64             1           3.1       1.31873
    28           1414.39             1        -0.465      0.768544
    29           1413.11             1        -0.297      0.748403
    30           1412.71             1        -0.115      0.660376
    31           1412.43             1       -0.0906      0.578162
    32           1423.81             1          21.4      0.397263
    33           1412.38             1          1.03      0.794526
    34           1411.21             1       -0.0234       1.43821
    35           1411.14             1         0.508      0.744465
    36           1410.38             1       -0.0967       1.08423
    37           1409.19             1        -0.391      0.361408
    38           1403.91             1         -2.09      0.221611
    39           1403.22        0.0107         -32.3     0.0738702
    40           1403.18       0.00561         -3.11     0.0738702
    41           1401.85         0.296         -1.54     0.0738702
    42           1398.28             1         -1.31     0.0738702
    43           1397.81         0.186         0.428     0.0479165
    44           1397.53         0.221        -0.574     0.0479165
    45           1397.11             1       -0.0314     0.0479165
    46           1397.04             1       0.00538     0.0368331
    47            1401.9             1          11.5     0.0365446
    48           1397.82             1          1.72     0.0730891
    49           1397.03             1       0.00765      0.292357
    50           1397.02             1      -0.00177      0.292821
    51           1397.01             1      -0.00351      0.097607
    52              1397             1      -0.00401     0.0553201
    53           1396.99             1      -0.00338     0.0390204
    54              1397             1        0.0309      0.030005
    55           1396.99             1       0.00811     0.0600101
    56           1396.99             1     -0.000115       0.24004
    57           1396.99             1     -0.000248      0.228693
    58           1396.99             1     -0.000143      0.205746
    59           1396.99             1      0.000197      0.196495
    60           1396.99             1      0.000784      0.196494
    61           1396.99             1       0.00171      0.209647
    62           1396.98             1      0.000446       0.35888
    63           1396.98             1     -5.21e-06       0.35888
    64           1396.98             1     -6.55e-05      0.346487
    65           1396.98             1     -0.000118      0.329754
    66           1396.98             1      -0.00016      0.280441
    67           1396.98             1     -0.000214      0.200309
    68           1396.98             1     -0.000192      0.137968
    69           1396.98             1      0.000765      0.119216
    70           1396.98             1       0.00662      0.142522
    71           1396.98             1      0.000851      0.285045
    72           1396.98             1      6.79e-05      0.341963
    73           1396.98             1      9.78e-06      0.336993
    74           1396.98             1     -3.99e-05      0.333901
    75           1396.98             1     -7.39e-05      0.320562
    76           1396.98             1     -0.000101      0.276026
    77           1396.98             1     -0.000133       0.20596
    78           1396.98             1     -0.000128      0.145707
    79           1396.98             1      0.000248      0.125656
    80           1396.98             1       0.00362      0.126773
    81           1396.98             1      0.000593      0.253546
    82           1396.98             1      8.06e-05      0.368251

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            173523
     1            173505      5.51e-05     -1.65e+05      0.859206
     2            173184       0.00097     -1.65e+05      0.859206
     3            172636       0.00166     -1.65e+05      0.859206
     4            172591      0.000136     -1.64e+05      0.859206
     5            165640         0.021     -1.66e+05      0.859206
     6            152955        0.0389      -1.7e+05      0.859206
     7            147226        0.0178      -1.8e+05      0.859206
     8            130127        0.0566     -1.63e+05      0.859206
     9           51191.3         0.127     -7.56e+05      0.859206
    10           33754.8          0.14      -7.9e+04      0.859206
    11           32683.1        0.0166     -3.32e+04      0.859206
    12           30023.1        0.0409     -3.49e+04      0.859206
    13           12105.4         0.216     -5.93e+04      0.859206
    14           2327.16         0.369     -3.86e+03      0.859206
    15           2102.87         0.158          -723      0.859206
    16           2102.74      0.000145          -465      0.859206
    17            1753.3         0.601      1.11e+03      0.859206
    18           1628.49         0.698           183      0.859206
    19           1670.93             1           318      0.859206
    20           1577.46         0.817           123       1.71841
    21           1552.36         0.286         -36.3       1.71841
    22           1523.43             1          3.27       1.71841
    23           1520.55             1         0.618       1.71841
    24           1519.95             1         0.128       1.24859
    25           1503.91             1        -0.935       0.90548
    26            1503.9       0.00136         -2.24      0.780766
    27           1502.73         0.317         -1.49      0.780766
    28           1501.68             1       -0.0667      0.780766
    29           1501.62             1       0.00172      0.260255
    30           1501.39             1       -0.0239       0.25572
    31           1501.35             1      -0.00477       0.08524
    32           1705.84             1      3.15e+03     0.0284133
    33           1501.53             1         0.763     0.0568266
    34           1501.32             1       -0.0109      0.227307
    35            1501.4             1         0.376     0.0757689
    36           1501.29             1      -0.00806      0.151538
    37           1508.65             1          31.7     0.0505126
    38           1501.34             1         0.303      0.101025
    39           1501.26             1       -0.0115      0.404101
    40           1501.26             1         0.123        0.1347
    41           1501.17             1        0.0373       0.20609
    42           1501.19             1         0.249      0.202585
    43           1501.07             1        -0.029      0.405169
    44           1501.83             1          2.07      0.135056
    45           1501.06             1         0.101      0.270113
    46           1500.96             1       -0.0137      0.372922
    47           1500.93             1        0.0359       0.26839
    48           1500.88             1      -0.00765      0.269467
    49           1500.86             1      -0.00164      0.169133
    50           1500.86             1     -0.000932      0.103501
    51           1500.86             1     -0.000279     0.0345002
    52           1500.86             1     -0.000898     0.0115001
    53           1500.85             1      -0.00583    0.00383336
    54           1501.08         0.239          5.14    0.00127779
    55           1501.11         0.477          2.97    0.00255557
    56           1500.83             1       0.00477     0.0102223
    57           1501.47         0.289          7.28    0.00361851
    58           1501.64         0.576          4.73    0.00723702
    59           1500.82             1        0.0377     0.0289481
    60           1504.73         0.796          12.3     0.0290898
    61           1501.56             1          1.74     0.0581797
    62           1500.76             1       0.00453      0.232719
    63           1501.12             1         0.916      0.208976
    64           1500.69             1        0.0316      0.417951
    65           1500.86             1         0.612      0.416358
    66           1500.52             1       -0.0459      0.832717
    67           1500.41             1         0.123      0.564317
    68           1500.07             1       -0.0735      0.568642
    69           1499.92         0.241        -0.245      0.423393
    70           1499.93             1         0.783      0.423393
    71           1499.58             1       -0.0897      0.846787
    72            1499.3         0.515        -0.141      0.497112
    73           1498.84             1        -0.085      0.497112
    74           1498.48             1       -0.0332      0.355139
    75           1494.65          0.59         -1.88       0.34838
    76           1493.14             1        -0.235       0.34838
    77           1486.44             1         -2.54      0.269564
    78           1476.79         0.476         -2.32      0.182404
    79           1469.13             1         0.384      0.182404
    80           1465.64             1          3.35      0.177884
    81           1463.56             1         0.911      0.178003
    82           1460.19             1        -0.193      0.185217
    83           1459.73             1          0.19       0.15268
    84           1459.33             1         0.349      0.154391
    85           1459.32             1         0.278      0.154173
    86           1459.26             1         0.251      0.283377
    87           1459.26      5.06e-05        -0.182      0.369597
    88           1459.18             1        0.0866      0.369597
    89           1459.16             1        0.0398      0.390304
    90           1459.14             1       0.00966      0.414929
    91           1443.49         0.766          55.5      0.414931
    92           1410.21         0.877         -10.2      0.414931
    93           1402.98             1         -1.12      0.414931
    94           1400.44             1        -0.699      0.408317
    95           1409.54         0.519          45.5      0.141878
    96           1463.63             1           150      0.283756
    97              1405             1          13.3       1.13502
    98           1399.07             1        -0.275        9.0802
    99           1398.52             1        0.0458       3.02673
   100           1398.09             1        -0.129       2.68399
   101           1397.79         0.874        -0.149      0.894664
   102            1397.6             1       -0.0842      0.894664
   103            1397.3             1        -0.145      0.298221
   104           1397.14         0.496        -0.153     0.0994071
   105           1397.13       0.00162       -0.0599     0.0994071
   106           1397.08             1        -0.018     0.0994071
   107           1397.05             1      -0.00932     0.0882703
   108           1397.05         0.439        0.0122     0.0796001
   109           1397.04             1         0.028     0.0796001
   110           1397.34             1         0.521      0.147146
   111           1397.06             1        0.0536      0.294293
   112           1397.02             1       -0.0027       1.17717
   113           1397.02             1      6.84e-05       0.39239
   114           1397.02             1      -0.00121      0.384837
   115           1397.01             1       -0.0029      0.128279
   116              1397             1      -0.00346     0.0644106
   117              1397         0.289     -0.000845     0.0504278
   118           1396.99             1      -0.00201     0.0504278
   119           1397.14             1         0.285     0.0436665
   120           1397.02             1         0.066      0.087333
   121           1396.99             1      0.000349      0.349332
   122           1396.99             1     -0.000369      0.349334
   123           1396.99             1     -0.000848      0.116445
   124           1396.98             1       0.00109     0.0587378
   125           1396.99         0.432        0.0255     0.0587398
   126           1396.99         0.506       0.00829       0.11748
   127           1396.98         0.884      8.59e-05      0.469918
   128           1396.98             1     -0.000148      0.469918
   129           1396.98             1     -0.000394      0.156639
   130           1396.98             1     -0.000569     0.0583624
   131           1396.98         0.398       0.00319     0.0454057
   132              1397             1         0.036     0.0454057
   133           1396.98             1       0.00628     0.0908113
   134           1396.98             1     -0.000209      0.363245
   135           1396.98             1     -0.000175      0.231119
   136           1396.98             1      -0.00034     0.0971539
   137           1396.98         0.513     -0.000228     0.0553684
   138           1396.98             1       0.00437     0.0553684
   139           1396.98             1      0.000663      0.110737
   140           1396.98             1       0.00586      0.143221
   141           1396.98             1      0.000544      0.286442
   142           1396.98             1     -4.68e-05      0.318583
   143           1396.97             1      -3.8e-05      0.280705
   144           1396.97             1     -4.76e-05      0.267407
   145           1396.97         0.981      -5.4e-05      0.248999
   146           1396.97             1     -5.61e-05      0.248999
   147           1396.97             1     -5.88e-05      0.225388
   148           1396.97             1     -4.18e-05      0.204594
   149           1396.97         0.829     -3.49e-05      0.195197
   150           1396.97             1     -3.83e-05      0.195197
   151           1396.97             1       3.5e-05      0.187728
   152           1396.97             1      0.000171      0.187701
   153           1396.97         0.788      0.000203        0.1934
   154           1396.97             1      9.46e-05        0.1934
   155           1396.97             1      0.000327       0.19346
   156           1396.97             1      0.000329      0.244638
   157           1396.97             1      0.000189      0.274397
   158           1396.97             1      0.000109      0.278371
   159           1396.97             1      6.67e-05      0.278952
   160           1396.97             1      3.85e-05      0.279092
   161           1396.97             1      2.23e-05      0.279092

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            531790
     1            531261      0.000509     -5.19e+05       77.4308
     2            531177      8.18e-05     -5.18e+05       77.4308
     3            530807      0.000357     -5.18e+05       77.4308
     4            530678      0.000124     -5.18e+05       77.4308
     5            530480      0.000191     -5.18e+05       77.4308
     6            530109      0.000358     -5.17e+05       77.4308
     7            529985       0.00012     -5.17e+05       77.4308
     8            529361      0.000603     -5.17e+05       77.4308
     9            525867       0.00339     -5.16e+05       77.4308
    10            497541        0.0278     -5.06e+05       77.4308
    11            322826         0.192     -4.19e+05       77.4308
    12            188316         0.239     -2.47e+05       77.4308
    13           16701.3         0.899     -2.77e+04       77.4308
    14           6970.47         0.534        -6e+03       77.4308
    15           2221.13         0.979           204       77.4308
    16           1681.35             1         -59.4       77.4308
    17           1525.72             1         -7.63       25.8103
    18           1506.45         0.533         -14.3       8.66653
    19           1488.95             1         -5.99       8.66653
    20           1430.85         0.618         -27.5       2.88884
    21           1420.31         0.429          -9.6       2.88884
    22           1411.57             1          1.88       2.88884
    23           1408.75         0.222         -5.56       2.04549
    24           1405.69             1         0.296       2.04549
    25           1404.75             1        -0.293       1.49971
    26           1404.06             1        -0.283      0.946049
    27           1403.31             1        -0.335      0.703805
    28           1401.99             1        -0.619      0.404015
    29           1397.63             1         -2.12       0.17724
    30           1355.68             1         -20.4       0.05908
    31            1348.8        0.0115          -296     0.0196933
    32           1348.64      0.000267          -301     0.0196933
    33           1306.13        0.0732          -281     0.0196933
    34            1297.8        0.0146          -284     0.0196933
    35           1006.54             1         -10.5     0.0196933
    36            1013.7             1          7.63    0.00656445
    37           1007.75             1          1.78     0.0131289
    38           1005.97             1        0.0317     0.0525156
    39           1005.97      9.06e-05       -0.0956     0.0524983
    40           1005.87             1      -0.00983     0.0524983
    41           1005.85             1      -0.00653     0.0174994
    42           1005.84             1      -0.00278     0.0151293
    43           1005.84         0.439      -0.00289    0.00919133
    44           1005.83             1      -0.00192    0.00919133

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            782740
     1            780584       0.00141     -7.63e+05        114.85
     2            770768       0.00647     -7.53e+05        114.85
     3            736357        0.0234     -7.19e+05        114.85
     4            731221       0.00358     -7.14e+05        114.85
     5            708130        0.0164      -6.9e+05        114.85
     6            705914       0.00161     -6.89e+05        114.85
     7            699922       0.00437     -6.83e+05        114.85
     8            616474        0.0657     -5.88e+05        114.85
     9            483934          0.13      -4.3e+05        114.85
    10            482847       0.00116      -4.7e+05        114.85
    11            470635        0.0132     -4.54e+05        114.85
    12            460205        0.0116     -4.44e+05        114.85
    13            429862        0.0355     -4.07e+05        114.85
    14            275083         0.251     -2.25e+05        114.85
    15            176266         0.243     -1.55e+05        114.85
    16           81101.1         0.402     -8.14e+04        114.85
    17           27567.3         0.488     -3.65e+04        114.85
    18           14219.1         0.328     -1.65e+04        114.85
    19            2731.1         0.934          -378        114.85
    20            1849.5             1         -82.8        114.85
    21           1763.96         0.294          -124       38.2832
    22           1633.13             1         -23.7       38.2832
    23           1572.47             1         -10.6       14.5521
    24           1551.93             1         -5.72       11.5942
    25           1544.97             1         -2.57       7.51877
    26           1539.17             1         -2.55       3.44441
    27           1521.96         0.381         -1.53       1.14814
    28           1551.99             1           165       1.14814
    29           1511.54             1          25.6       2.29627
    30            1465.2         0.805         -19.7       2.46977
    31           1461.57         0.125           -14       2.46977
    32           1455.34             1         -1.79       2.46977
    33           1453.31         0.593        -0.949      0.823255
    34           1450.67             1        -0.882      0.823255
    35           1447.66             1         -1.26      0.661595
    36           1441.21             1         -3.05      0.373391
    37           1438.83        0.0532         -22.3      0.131073
    38           1417.62          0.38         -27.5      0.131073
    39           1394.08         0.112          -103      0.131073
    40           1129.89             1           -84      0.131073
    41           1065.11             1          9.26     0.0436911
    42           1057.62             1         -1.68     0.0315879
    43           1052.46             1         -1.02     0.0314073
    44           1019.15             1          -6.7     0.0104691
    45           1002.14             1          14.2     0.0034897
    46            995.88             1       -0.0991    0.00116323
    47           995.619             1        0.0177   0.000434185
    48           992.257         0.328         -4.16   0.000144728
    49           991.362             1          2.77   0.000144728
    50           990.626             1        -0.079   0.000144641
    51           990.607             1     -0.000453   4.82137e-05
    52           990.605             1     -0.000389   1.60712e-05
    53           990.605             1     -0.000221   1.41376e-05

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            848381
     1            848170      0.000126     -8.41e+05       4.91891
     2            848022      8.77e-05     -8.41e+05       4.91891
     3            848001      1.26e-05     -8.41e+05       4.91891
     4            847737      0.000157     -8.41e+05       4.91891
     5            836575       0.00669     -8.26e+05       4.91891
     6            821053       0.00946      -8.1e+05       4.91891
     7            819405       0.00101     -8.13e+05       4.91891
     8            651302         0.112     -6.87e+05       4.91891
     9            574001        0.0626     -5.94e+05       4.91891
    10            490551        0.0755     -5.38e+05       4.91891
    11            168968         0.349     -3.75e+05       4.91891
    12           98162.4         0.189      -2.1e+05       4.91891
    13           98109.2      0.000278     -9.57e+04       4.91891
    14           27344.4         0.421     -6.64e+04       4.91891
    15           3743.91             1     -3.44e+03       4.91891
    16           3617.61        0.0333     -1.85e+03       1.65944
    17           2306.78         0.501          -844       1.65944
    18           2291.11        0.0129          -604       1.65944
    19           1938.79         0.591          -146       1.65944
    20           1860.99         0.278           -85       1.65944
    21           1830.65         0.113          -109       1.65944
    22            1755.5         0.516         -34.6       1.65944
    23           1620.86             1         -90.5       1.65944
    24           1853.96         0.794      1.65e+03      0.553147
    25           1899.38         0.771      1.97e+03       1.10629
    26           2046.72          0.87       2.3e+03       4.42518
    27           1563.47             1          42.7       35.4014
    28           1513.23             1         -10.2       11.8005
    29           1488.27         0.641           166       3.93349
    30           1408.79             1          3.96       3.93349
    31           1406.18         0.559         -1.57       1.31116
    32           1404.56             1        -0.555       1.31116
    33           1401.59             1         -1.39      0.437055
    34           1386.17             1         -7.57      0.145685
    35           1364.39        0.0932          -115     0.0485616
    36           1061.88             1         -83.4     0.0485616
    37           1011.47             1          1.78     0.0161872
    38           1007.82             1        -0.954    0.00829738
    39           993.439         0.254         -25.4    0.00401279
    40           993.059        0.0324         -5.83    0.00401279
    41           991.534             1        -0.223    0.00401279
    42           991.327             1       -0.0497     0.0013376
    43           992.753             1          3.23   0.000445866
    44           992.754             1          3.23   0.000891731
    45           992.716             1          3.17    0.00356693
    46           992.349             1          2.68     0.0285354
    47           991.071             1         0.798      0.228283
    48           990.121             1        -0.144      0.298016
    49           989.459             1         0.311     0.0993385
    50           985.026             1          1.28     0.0992292
    51           1042.12         0.246      1.82e+03     0.0330764
    52            1043.7         0.497           947     0.0661528
    53           984.208             1        0.0733      0.264611
    54           986.032             1          6.05      0.241649
    55           983.897             1       0.00563      0.483297
    56           983.909             1         0.343      0.427917
    57           983.743             1       -0.0394      0.855834
    58           983.834             1         0.368      0.429966
    59           983.683             1        -0.013      0.859932
    60            983.64             1       0.00424      0.708032
    61           983.595             1      -0.00983      0.697451
    62           983.561             1       -0.0111      0.581867
    63           983.532             1       -0.0115      0.414845
    64           983.504             1       -0.0112      0.273732
    65            983.48             1      -0.00942      0.207699
    66           983.461             1      -0.00752      0.164849
    67           983.446             1      -0.00596      0.131658
    68           983.434             1       -0.0047      0.105269
    69           983.424             1       -0.0037     0.0841838
    70           983.417             1       -0.0026     0.0674284
    71           983.427             1        0.0255     0.0573837
    72           983.417             1       0.00328      0.114767
    73           983.426             1        0.0225      0.160113
    74           983.414             1      0.000561      0.320226
    75           983.412             1     -0.000503      0.319987
    76            983.41             1      -0.00098      0.106662
    77           983.408             1     -0.000348     0.0548128
    78           983.501             1         0.191     0.0526116
    79           983.421             1        0.0268      0.105223
    80           983.407             1     -6.02e-05      0.420893
    81           983.407             1     -0.000115      0.410155

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            660599
     1            660554      3.45e-05     -6.53e+05      0.572924
     2            660265      0.000221     -6.53e+05      0.572924
     3            660034      0.000178     -6.53e+05      0.572924
     4            659733      0.000231     -6.52e+05      0.572924
     5            657172       0.00197     -6.49e+05      0.572924
     6            603542        0.0401     -7.64e+05      0.572924
     7            603230      0.000261     -5.97e+05      0.572924
     8            588877         0.012     -6.02e+05      0.572924
     9            556607        0.0283     -5.59e+05      0.572924
    10            524058        0.0295     -5.54e+05      0.572924
    11            484381        0.0381     -5.25e+05      0.572924
    12            302293         0.189        -5e+05      0.572924
    13            242722         0.108     -2.56e+05      0.572924
    14            160758         0.187     -2.01e+05      0.572924
    15           70494.3         0.256     -1.84e+05      0.572924
    16           37276.1         0.226     -7.72e+04      0.572924
    17           12550.9         0.345     -3.23e+04      0.572924
    18           10020.6         0.115     -1.11e+04      0.572924
    19            2215.6         0.686      1.26e+03      0.572924
    20           1932.52         0.279          -434      0.572924
    21           1580.04         0.823         -71.9      0.572924
    22           1551.63             1          16.4      0.572924
    23           1521.53             1         -2.62      0.571985
    24           1517.62             1         -3.65      0.190662
    25           1515.75          0.13         -13.1     0.0635539
    26           1797.83         0.969      3.75e+04     0.0635539
    27           1466.04             1         -19.1      0.127108
    28           1451.08             1            19     0.0423693
    29           1440.09         0.058           -81     0.0604087
    30           1439.68         0.215          91.1     0.0604087
    31              4615           0.3      3.84e+05     0.0604087
    32           1775.33          0.55           590      0.120817
    33           1539.53         0.663           161       0.48327
    34            1413.7         0.678        -0.116       3.86616
    35           1396.54             1        -0.939       3.86616
    36           1391.76             1         0.837       1.28872
    37           1387.45             1        -0.956       1.28955
    38           1385.48             1        -0.578       1.03302
    39           1384.11             1        -0.471       1.00229
    40           1382.73         0.923        -0.428      0.939835
    41           1382.22             1          -0.2      0.939835
    42           2090.67         0.356      8.37e+04      0.729658
    43           2091.54         0.448      6.76e+04       1.45932
    44           1977.18             1      2.39e+04       5.83727
    45            1381.4             1        -0.448       46.6981
    46           1381.16        0.0811         -1.48        15.566
    47            1375.4             1         -3.33        15.566
    48           1374.25             1          1.12       5.18868
    49           1373.74             1       -0.0783       4.14915
    50            1373.5             1        -0.108       1.38305
    51           1373.16         0.522        -0.281      0.461017
    52            1372.7             1        0.0433      0.461017
    53            1372.1             1       -0.0351      0.449598
    54            1371.1             1         -0.37      0.437326
    55           1369.64          0.76        -0.895      0.285983
    56           1366.58             1          -1.5      0.285983
    57           1345.81             1         -10.3     0.0953278
    58           1274.58         0.199          -170     0.0317759
    59           1227.83        0.0877          -255     0.0317759
    60           975.085             1         -8.86     0.0317759
    61           990.126             1          37.6      0.010592
    62           975.617             1          1.49      0.021184
    63           974.426             1         0.127     0.0847358
    64           977.444             1          7.41     0.0848219
    65           974.339             1         0.219      0.169644
    66           974.426             1         0.307       0.18028
    67           974.182             1       -0.0245      0.360559
    68           974.134             1       -0.0106       0.24431
    69           974.099             1       -0.0129     0.0814367
    70           974.084             1      -0.00603      0.070089
    71           974.098             1        0.0407     0.0485467
    72           974.081             1       0.00222     0.0970933
    73           974.125             1        0.0956     0.0972668
    74           974.079             1       0.00398      0.194534
    75           974.074             1      -0.00085      0.222124
    76           974.071             1      -0.00084      0.187298
    77           974.069             1       -0.0009      0.133206
    78           974.067             1        0.0011      0.104546
    79           974.079             1        0.0247      0.105041
    80           974.066             1       0.00111      0.210082
    81           974.063             1     -0.000464      0.214769
    82           974.062             1     -0.000508      0.174581
    83            974.06             1     -0.000496      0.131235
    84           974.059             1      0.000512       0.11005
    85           974.063             1        0.0102      0.110371
    86           974.058             1      0.000264      0.220743
    87           974.057             1     -0.000307      0.220745
    88           974.056             1     -0.000385      0.173364
    89           974.054             1     -0.000497      0.105726
    90           974.054             1       0.00246     0.0788752
    91           974.054             1     -6.28e-05       0.15775
    92           974.053             1     -1.88e-05      0.156408
    93           974.052             1      9.03e-05      0.156093
    94           974.051             1      0.000214      0.156092
    95           974.051             1      0.000364      0.156384
    96            974.05             1      0.000503      0.158296
    97           974.049             1      0.000507      0.165254
    98           974.049             1      0.000381      0.170213
    99           974.048             1      0.000241      0.172758
   100           974.048             1      0.000135      0.173089
   101           974.047             1       6.8e-05      0.173137
   102           974.046             1      9.93e-06      0.173136
   103           974.046             1     -2.66e-05      0.173036
   104           974.045             1      -5.9e-05      0.172309
   105           974.045             1     -7.55e-05      0.170339
   106           974.044             1     -8.59e-05      0.166465
   107           974.044             1     -7.88e-05      0.161542
   108           974.044             1     -5.93e-05      0.157205
   109           974.043             1     -1.72e-05      0.155145
   110           974.043             1      3.47e-05      0.154758
   111           974.042             1      0.000105      0.154758
   112           974.042             1      0.000185      0.155016
   113           974.042             1      0.000266       0.15774
   114           974.041             1      0.000282      0.164111
   115           974.041             1      0.000211      0.172065
   116           974.041             1      0.000124      0.174548
   117            974.04             1      6.46e-05      0.175125
   118            974.04             1      1.86e-05      0.175141
   119            974.04             1     -1.16e-05      0.175131
   120           974.039             1     -3.71e-05      0.174704
   121           974.039             1     -5.24e-05      0.172818
   122           974.039             1     -6.29e-05      0.168084
   123           974.039             1     -6.23e-05      0.160901
   124           974.038             1     -4.99e-05       0.15396
   125           974.038             1     -1.59e-05      0.150615
   126           974.038             1      3.46e-05      0.150191
   127           974.038             1       0.00011      0.150202
   128           974.037             1      0.000202      0.152006
   129           974.037             1      0.000242       0.16291
   130           974.037             1      0.000167      0.175555
   131           974.037             1      8.05e-05      0.180057
   132           974.036             1      2.53e-05      0.180359
   133           974.036             1     -8.36e-06      0.180359
   134           974.036             1     -3.32e-05      0.179935
   135           974.036             1     -4.83e-05      0.176759
   136           974.035             1     -5.81e-05      0.167417

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            355716
     1            355708      1.07e-05     -3.49e+05       3.19802
     2            355684      3.42e-05     -3.49e+05       3.19802
     3            355657      3.83e-05     -3.49e+05       3.19802
     4            355440      0.000311      -3.5e+05       3.19802
     5            235834         0.115     -7.56e+05       3.19802
     6            144494         0.129     -5.26e+05       3.19802
     7           99063.9         0.127     -2.24e+05       3.19802
     8           89292.1          0.05     -9.96e+04       3.19802
     9           68327.9         0.118     -8.81e+04       3.19802
    10           57351.1        0.0757     -8.15e+04       3.19802
    11           52139.9        0.0481     -5.46e+04       3.19802
    12           6020.79         0.461     -3.84e+04       3.19802
    13           3405.63         0.701      7.06e+03       3.19802
    14           5275.92             1      1.29e+04       3.19802
    15           2302.19         0.723           199       6.39604
    16           2469.62             1           882       6.39604
    17           2116.58             1           760       12.7921
    18           1821.73             1           128       13.0322
    19           1757.19         0.795          21.4       10.5646
    20            1736.6             1          3.52       10.5646
    21           1731.17             1          2.02        9.1745
    22           1726.75             1         -0.18       8.72493
    23           1722.68             1         -1.17       7.39141
    24           1713.21             1         -3.36        2.4638
    25           1671.53             1         -11.7      0.821268
    26           1594.23        0.0958       7.9e+03      0.273756
    27           1548.74         0.138          -158      0.273756
    28           1492.32         0.351         -26.3      0.273756
    29           3720.47         0.807      1.46e+05      0.273756
    30           1433.54         0.952         -3.65      0.547512
    31           1417.77             1         -2.51      0.547512
    32            1415.8             1          1.31      0.182504
    33           1414.63             1        0.0633      0.167254
    34           1414.56             1        0.0762     0.0557513
    35           1480.75             1           104     0.0587698
    36           1453.89             1          63.5       0.11754
    37           1418.21             1          7.53      0.470158
    38           1414.25             1        -0.136       3.76127
    39            1413.6             1        -0.182       1.25376
    40           1413.23             1         0.466      0.417919
    41           1412.49             1        -0.206      0.420064
    42            1412.5             1         0.655      0.213398
    43           1412.14             1       -0.0946      0.426795
    44            1411.6             1        -0.203      0.372206
    45           1409.97             1        -0.705      0.260854
    46           1405.68         0.345         -5.46      0.119349
    47           1405.17         0.351        -0.472      0.119349
    48           1405.12        0.0587         -0.43      0.119349
    49           1404.68             1       -0.0747      0.119349
    50           1404.55         0.798       -0.0349     0.0948392
    51           1404.49         0.993      -0.00914     0.0948392
    52           1404.46             1       0.00899     0.0948392
    53           1404.45             1        0.0234     0.0949715
    54           1404.45             1        0.0431      0.117099
    55           1404.44         0.998        0.0347      0.218537
    56           1404.42         0.404       -0.0104      0.218537
    57           1404.42             1       0.00027      0.218537
    58           1404.42             1     -0.000194       0.21788
    59           1404.41             1      -0.00042       0.21396
    60           2040.42           0.8      2.71e+04      0.203034
    61           1403.82         0.266         -1.41      0.406068
    62           1482.58             1           946      0.406068
    63           1403.52             1          9.29      0.812135
    64           1401.88             1        -0.104      0.916866
    65           1401.83             1       -0.0133      0.305622
    66           1401.72             1       -0.0555      0.101874
    67           1421.12             1      1.02e+03      0.033958
    68           1401.31             1        -0.229      0.067916
    69           1399.45         0.258         -3.19     0.0226387
    70           1397.49        0.0505         -18.7     0.0226387
    71           1432.15         0.395           621     0.0226387
    72           1433.22         0.586           425     0.0452774
    73           1397.79             1          1.73      0.181109
    74           1397.22             1       -0.0474       1.44888
    75           1397.16             1       -0.0147      0.482958
    76           1399.23             1          7.14      0.160986
    77           1397.15             1         0.121      0.321972
    78           1397.08             1        0.0212      0.480816
    79           1397.06             1        0.0407      0.474011
    80           1397.03             1        0.0196      0.487507
    81           1397.01             1      -0.00158      0.487526
    82              1397             1       -0.0014      0.402632
    83              1397             1     -0.000988      0.203177
    84           1396.99             1      -0.00265     0.0677256
    85           1396.99         0.254      -0.00759     0.0225752
    86           1396.98             1      -0.00274     0.0225752
    87              1397             1        0.0598    0.00752507
    88           1396.99             1        0.0219     0.0150501
    89           1396.98             1      9.83e-05     0.0602006
    90           1396.99             1        0.0285     0.0578535
    91           1396.98             1       0.00564      0.115707
    92           1396.98             1     -0.000129      0.462828
    93           1396.98             1     -0.000103      0.371944
    94           1396.98             1     -0.000239      0.123981
    95           1396.98             1     -0.000448     0.0413271
    96           1396.98             1       0.00737     0.0164255
    97           1396.98             1       0.00338      0.032851
    98           1396.98             1      0.000182      0.131404
    99           1396.98             1       0.00128      0.138786
   100           1396.98             1      0.000117      0.277573
   101           1396.98             1      3.66e-06      0.279474

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            124058
     1            123618       0.00183     -1.21e+05       23.0426
     2            123489       0.00054      -1.2e+05       23.0426
     3            122465       0.00427      -1.2e+05       23.0426
     4            121893        0.0024     -1.19e+05       23.0426
     5            118212        0.0154     -1.21e+05       23.0426
     6            108824          0.04      -1.2e+05       23.0426
     7            105761        0.0144     -1.07e+05       23.0426
     8            105397       0.00177     -1.03e+05       23.0426
     9           79150.1          0.12     -1.12e+05       23.0426
    10           9021.87         0.449     -5.81e+04       23.0426
    11           5934.14         0.209     -7.01e+03       23.0426
    12           5926.33      0.000886      -4.4e+03       23.0426
    13           1798.47         0.984       1.2e+03       23.0426
    14           1517.81             1           348       23.0426
    15            1417.4             1         -5.03       21.0962
    16           1409.84             1         -1.05       7.03205
    17           1407.74         0.379         -2.25       5.58593
    18           1404.91             1        -0.918       5.58593
    19           1403.06             1         -0.58        1.9067
    20           1401.11             1        -0.873        1.0411
    21           1399.11         0.205         -4.57      0.347033
    22           1393.63         0.511         -4.38      0.347033
    23           1387.37         0.349         -7.97      0.347033
    24           1376.59         0.368         -13.3      0.347033
    25            1330.3             1         -18.7      0.347033
    26           1277.96         0.202          -117       0.29775
    27           1142.41         0.418          -132       0.29775
    28           1125.64        0.0641          -126       0.29775
    29           1000.23             1          -8.6       0.29775
    30           999.037             1          6.35       0.09925
    31           997.405             1          1.05      0.115565
    32             998.4             1          2.94      0.118729
    33           995.693             1         0.301      0.237459
    34           994.536             1        0.0795      0.237468
    35           993.603             1        -0.158       0.23746
    36           993.218             1       -0.0889      0.220372
    37           993.059             1       -0.0462      0.193021
    38           992.971             1       -0.0298      0.171587
    39           992.914             1        -0.021      0.147534
    40           992.873             1       -0.0158      0.123358
    41           992.841             1       -0.0124      0.100356
    42           992.816             1      -0.00992     0.0801372
    43           992.796             1      -0.00802     0.0631383
    44            992.78             1       -0.0064     0.0492197
    45           992.768             1      -0.00513      0.037288
    46           992.757             1      -0.00501      0.025251
    47           992.747         0.713      -0.00696     0.0134207
    48           992.743             1      -0.00157     0.0134207
    49           994.037             1          2.69    0.00853806
    50           992.876             1          0.27     0.0170761
    51           992.743             1       0.00133     0.0683045

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.
Warning: LSQLIN did not converge. Infeasible network contraints.
> In mylsqlin
In multistart
In multistart
In estimate
In inca_script (line 160)

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             1e+22
     1       1.77778e+16             1        -5e+15       717.897
     2        1.7662e+16        0.0343     -1.69e+15       239.299
     3       1.76188e+16        0.0129     -1.68e+15       239.299
     4       1.45034e+16         0.968     -1.53e+15       239.299
     5       1.20777e+16         0.735     -1.57e+15       239.299
     6       9.99999e+15         0.679     -1.46e+15       239.299
     7       9.99999e+15         0.315      -3.8e+06       239.299
     8       9.99999e+15          0.76     -2.96e+05       239.299
     9       9.99999e+15             1         -25.4       239.299
    10       9.99999e+15             1         -1.41       79.7664
    11       9.99999e+15             1        -0.639       159.533
    12       9.99999e+15             1        -0.159       638.131

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           43350.7
     1           43348.3       6.9e-05     -1.76e+04   1.21773e+06
     2             41317        0.0589     -1.68e+04   1.21773e+06
     3           41274.9       0.00128     -1.64e+04   1.21773e+06
     4           40614.6        0.0203     -1.61e+04   1.21773e+06
     5             40467       0.00462      -1.6e+04   1.21773e+06
     6           36920.9         0.117     -1.45e+04   1.21773e+06
     7           34908.4        0.0748     -1.31e+04   1.21773e+06
     8           34866.5       0.00166     -1.26e+04   1.21773e+06
     9           28208.7         0.294     -1.01e+04   1.21773e+06
    10           15709.9             1     -4.02e+03   1.21773e+06
    11           11075.3             1     -1.11e+03        405908
    12           10866.6         0.181          -533        135303
    13           10258.2             1          -149        135303
    14           9754.71             1          -231       45100.9
    15           9619.58         0.126          -529       15033.6
    16           9605.58        0.0144          -485       15033.6
    17           8777.02             1          -364       15033.6
    18           8500.76         0.224          -592       5011.22
    19           7605.65             1          -356       5011.22
    20           6781.13             1          -323       1670.41
    21           6016.65         0.951          -362       556.802
    22           5862.82         0.478          -158       556.802
    23           5606.79             1          -126       556.802
    24           5118.83             1          -254       185.601
    25           4292.81             1          -453       61.8669
    26           3498.22         0.568           440       20.6223
    27           3388.92        0.0395     -1.38e+03       20.6223
    28           2790.42         0.234     -1.22e+03       20.6223
    29           1922.07         0.766           278       20.6223
    30           1751.13             1           304       20.6223
    31           1665.09             1          5.86       19.7662
    32           1644.82             1         -9.49       6.84343
    33           1565.17         0.662       1.2e+03       2.28114
    34           1485.68         0.483           -59       2.28114
    35           1459.01         0.565         -16.2       2.28114
    36           1449.14         0.822         -3.77       2.28114
    37           1448.57         0.242         -1.12       2.28114
    38           1447.04             1        -0.599       2.28114
    39           1445.74             1        -0.432      0.760382
    40            1445.3             1        -0.135       0.38741
    41           1443.26         0.212         -1.71       0.27576
    42           1443.05             1          2.05       0.27576
    43           1440.14             1        -0.464      0.488902
    44           1434.66             1          8.21      0.356855
    45           1426.38             1         -2.41      0.332526
    46           1423.39         0.594          13.6      0.110842
    47           1419.72             1          3.37      0.110842
    48           1418.96             1        0.0414     0.0874805
    49           1418.91             1       0.00531     0.0647637
    50           1418.89             1       -0.0119     0.0551171
    51           2216.82         0.688       1.2e+05     0.0183724
    52           1419.12             1          1.71     0.0367447
    53           1418.87             1      -0.00938      0.146979
    54           1418.37        0.0779         -2.86      0.048993
    55           1416.29             1         -0.21      0.048993
    56           1415.57             1        -0.175     0.0471972
    57           1415.25             1        -0.114     0.0408362
    58            1413.6         0.129         -2.54     0.0299379
    59           1693.06         0.906      1.69e+04     0.0299379
    60           1413.09             1        -0.032     0.0598758
    61            1692.6         0.501      1.24e+04     0.0351549
    62           1692.77         0.967      6.42e+03     0.0703097
    63           1412.88             1       -0.0685      0.281239
    64           1399.78          0.13         -63.2     0.0937463
    65           1399.78       5.2e-05         -2.22     0.0937463
    66           1685.66         0.835      4.18e+03     0.0937463
    67           1400.53             1          9.24      0.187493
    68           1389.52             1          2.28       0.74997
    69           1386.06             1         0.189      0.686602
    70           1385.58             1        0.0639      0.346748
    71           1385.27             1        -0.018      0.314221
    72           1385.47             1          1.66      0.250277
    73           1385.01             1       -0.0976      0.500554
    74           1412.17             1           143      0.166851
    75           1384.77             1         0.244      0.333703
    76           1384.68             1          2.22      0.304842
    77           1383.39             1         0.873      0.443577
    78           1394.92         0.972            44      0.354131
    79           1382.06             1        -0.394      0.708261
    80           1383.55         0.524          10.3      0.236087
    81           1382.36             1          2.86      0.472174
    82           1381.66             1        -0.132        1.8887
    83           1381.29             1         0.437      0.629565
    84           1380.93         0.212        -0.815      0.625101
    85           1380.49             1        -0.079      0.625101
    86           1380.28             1        0.0126      0.208367
    87           1379.67             1        -0.267      0.180455
    88           1379.56          0.03         -1.86     0.0601515
    89           1379.78             1         0.618     0.0601515
    90           1379.41             1       0.00825      0.120303
    91           1379.66             1          0.52      0.106909
    92            1379.4             1        0.0312      0.213818
    93           1379.37             1      -0.00401       0.24918
    94           1379.48             1         0.222       0.08306
    95           1376.69         0.141         -9.21       0.16612
    96           1374.66             1        -0.332       0.16612
    97           1374.47             1         0.199     0.0553733
    98           1374.51             1         0.273     0.0551437
    99           1374.31             1       -0.0156      0.110287
   100            1374.3             1        0.0159     0.0559191
   101           1374.29         0.473        0.0197     0.0614313
   102           1374.27             1      -0.00223     0.0614313
   103           1374.26             1      -0.00812     0.0204771
   104           1374.22         0.407       -0.0718     0.0068257
   105           1373.82          0.44          11.7     0.0068257
   106           1373.29             1          17.6     0.0068257
   107           2375.08         0.195      1.64e+05    0.00697274
   108           2370.87         0.252      1.27e+05     0.0139455
   109           2344.97         0.604      5.34e+04     0.0557819
   110            1372.1             1       -0.0279      0.446255
   111           1382.13             1          55.1      0.148752
   112           1372.02             1         0.245      0.297503
   113           1372.24             1          1.36      0.297541
   114           1371.77             1       -0.0776      0.595082
   115           1376.22             1            16      0.198361
   116           1371.76             1          0.39      0.396721
   117           1371.46             1       -0.0554      0.719875
   118           1371.46             1         0.205      0.239958
   119           1371.39             1       -0.0115      0.479916
   120           1371.34             1       -0.0115       0.33952
   121           1371.31             1      -0.00622      0.230126
   122            1371.3             1      -0.00203      0.131934
   123            1371.3             1      -0.00039     0.0658207
   124            1371.3             1     -0.000108     0.0219402
   125            1371.3             1     -0.000232    0.00731341
   126            1371.3             1     -0.000517     0.0024378
   127            1371.3             1     -0.000582    0.00124993
   128            1371.3             1      -0.00029   0.000878162
   129            1371.3             1       0.00056    0.00079413
   130            1371.3             1       0.00337   0.000875727
   131            1371.3             1       0.00344    0.00175145
   132            1371.3             1       0.00329    0.00700582
   133            1371.3             1       0.00176     0.0560466
   134            1371.3             1     -6.35e-05      0.448372

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            839574
     1            839540      2.08e-05     -8.24e+05      0.744129
     2            839459      4.91e-05     -8.25e+05      0.744129
     3            758966        0.0463     -8.84e+05      0.744129
     4            744576       0.00937      -7.9e+05      0.744129
     5            713318        0.0198     -8.51e+05      0.744129
     6            707399       0.00413      -7.3e+05      0.744129
     7            704758       0.00188     -7.08e+05      0.744129
     8            512646         0.133     -7.92e+05      0.744129
     9            452049        0.0642     -4.41e+05      0.744129
    10            396690        0.0716     -3.36e+05      0.744129
    11            355168        0.0608     -3.03e+05      0.744129
    12            350957       0.00616     -3.39e+05      0.744129
    13            220497         0.187      -4.1e+05      0.744129
    14            184362        0.0739     -2.83e+05      0.744129
    15            157408        0.0586     -2.98e+05      0.744129
    16           51189.1         0.136     -7.58e+05      0.744129
    17           27587.1         0.211     -6.91e+04      0.744129
    18           5647.31         0.482      -5.1e+03      0.744129
    19           6353.42         0.252      5.08e+04      0.744129
    20           6117.87         0.353      3.61e+04       1.48826
    21            4412.2             1           324       5.95303
    22              4289             1           157       1.98434
    23           4228.23             1          12.1       1.97042
    24           4099.39             1         -39.1       1.96987
    25           3657.85         0.101     -3.98e+03      0.656622
    26           3429.48         0.304          -231      0.656622
    27            3022.3             1          82.7      0.656622
    28           3170.44         0.185      5.06e+05      0.678222
    29           3556.39         0.357      4.78e+05       1.35644
    30           2652.16         0.393          -242       5.42578
    31           4133.51         0.585      3.53e+05       5.42578
    32           2134.68             1          -739       10.8516
    33           4555.68          0.46      8.28e+04       3.61718
    34           4594.35         0.541      6.89e+04       7.23437
    35           4761.66         0.903      4.46e+04       28.9375
    36           1915.23             1           -77         231.5
    37           1742.53             1         -18.4       77.1666
    38           1721.65             1         -1.58       25.7222
    39           1708.81             1         -6.29       8.57407
    40           1724.63         0.789           188       2.85802
    41           1720.17             1           115       5.71604
    42           1678.43             1         -9.33       22.8642
    43           1660.56             1          -7.2       13.3179
    44           1632.91             1         -9.43       4.43931
    45           1590.97         0.401         -21.2       1.47977
    46           1584.45         0.185           -15       1.47977
    47           1577.11         0.293         -10.2       1.47977
    48           1563.79             1         -4.27       1.47977
    49           1531.43         0.643         -11.5      0.493257
    50            1467.6             1         -11.2      0.493257
    51           1433.38             1         -6.02      0.376587
    52           1420.91             1         -1.25      0.239651
    53           1415.92             1         -1.19      0.177332
    54           1413.97         0.589         -1.07      0.108529
    55           3857.74         0.747      2.44e+05      0.108529
    56           1413.07             1          4.66      0.217058
    57            1739.1             1      2.23e+03      0.217128
    58            1425.7             1          42.7      0.434255
    59           1410.27             1       -0.0169       1.73702
    60           1408.04             1        -0.413       1.50205
    61           1407.55         0.331        -0.616       1.00614
    62           1406.91             1        -0.206       1.00614
    63           1406.04             1        -0.349      0.352931
    64           1437.36             1           138      0.261128
    65           1438.22             1           171      0.522256
    66           1404.49             1          4.41       2.08903
    67           1403.17             1        -0.124       2.07144
    68           1402.81             1        -0.163      0.690479
    69           1402.18             1           0.3       0.23016
    70           1402.19             1          1.45      0.228551
    71           1401.52             1        -0.187      0.457101
    72           1401.01             1       -0.0361      0.337744
    73           1400.16             1        -0.327      0.328436
    74           1399.02         0.784        -0.659      0.204455
    75           1396.85             1         -1.04      0.204455
    76           1383.73             1         -6.45     0.0681518
    77           1374.03        0.0364          -132     0.0227173
    78           1079.06             1         -91.9     0.0227173
    79            1098.9         0.165           574    0.00757242
    80           1078.34         0.361           215     0.0151448
    81            1057.9         0.134         -78.1     0.0151448
    82           1025.61         0.389         -30.8     0.0151448
    83           1002.92             1         -1.78     0.0151448
    84           1000.86             1        -0.345    0.00504828
    85           993.898          0.18           -16    0.00387275
    86           993.292         0.434        -0.529    0.00387275
    87           992.935             1       -0.0419    0.00387275
    88           992.917             1      -0.00405    0.00129092
    89           992.912             1      -0.00119   0.000430306
    90           992.911             1     -0.000462   0.000402246
    91            992.91         0.397      -0.00044   0.000224207
    92            992.91             1     -0.000283   0.000224207

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            272351
     1            271966      0.000723     -2.66e+05      0.894028
     2            271712      0.000476     -2.66e+05      0.894028
     3            270032       0.00318     -2.63e+05      0.894028
     4            269335       0.00132     -2.63e+05      0.894028
     5            244033         0.053     -2.15e+05      0.894028
     6            212765        0.0893     -8.64e+04      0.894028
     7            186879         0.067      -1.8e+05      0.894028
     8            185024       0.00512      -1.8e+05      0.894028
     9            170512        0.0385     -1.97e+05      0.894028
    10            137192        0.0888     -2.11e+05      0.894028
    11            125579        0.0406     -1.54e+05      0.894028
    12           97615.7         0.101     -1.56e+05      0.894028
    13           76165.9        0.0987     -1.25e+05      0.894028
    14           12217.5         0.246     -2.57e+05      0.894028
    15           12143.4       0.00344     -1.08e+04      0.894028
    16           6849.57         0.224     -1.27e+04      0.894028
    17           2125.06         0.534      9.65e+03      0.894028
    18           4248.26         0.959      2.11e+04      0.894028
    19           7512.78             1      3.61e+04       1.78806
    20           2235.58             1      2.97e+03       7.15222
    21           2125.04      1.62e-05          -622       57.2178
    22           1520.07             1           134       57.2178
    23           1476.09             1           6.4       20.9849
    24           1459.77             1         -2.47       6.99496
    25           1448.35         0.626          -8.3       3.35157
    26           1448.33        0.0041         -2.97       3.35157
    27           1443.44             1          -1.2       3.35157
    28           1420.08         0.414          -249       1.11719
    29           1490.72         0.755           548       1.11719
    30            1428.3         0.894          92.7       2.23438
    31           1416.98             1          25.5       8.93752
    32           1407.36             1         -2.09       9.39936
    33            1402.5             1         -1.91       3.13312
    34           1398.51         0.265          -7.5       1.04437
    35           1396.55             1         0.237       1.04437
    36           1396.15             1       -0.0427      0.596759
    37            1396.1             1      -0.00765      0.405997
    38           1396.08             1       -0.0081      0.305563
    39           1396.04             1       -0.0144      0.112846
    40           1395.86             1        -0.139     0.0603226
    41            1443.3         0.266      4.77e+03     0.0201075
    42           1442.93          0.52      2.42e+03     0.0402151
    43           1395.52             1        -0.255       0.16086
    44           1439.24         0.378       1.7e+03     0.0536201
    45           1438.91         0.732           871       0.10724
    46            1395.2             1        -0.217      0.428961
    47            1434.9         0.692           594      0.142987
    48           1395.16             1          4.06      0.285974
    49           1394.45             1          4.04      0.495607
    50           1392.03             1         0.139      0.541562
    51            1391.8         0.871         0.497      0.180521
    52           1391.54             1        0.0121      0.180521
    53            1391.5             1      -0.00472     0.0800144
    54           1391.46             1      -0.00918     0.0691668
    55           1391.44          0.56       -0.0192     0.0457729
    56           1391.39             1        -0.034     0.0457729
    57           1390.44         0.592         -5.89     0.0152576
    58           1390.15             1        0.0439     0.0152576
    59           1390.11             1        0.0123     0.0100755
    60           1390.11             1        0.0363     0.0100579
    61           1390.11             1        0.0342     0.0201158
    62           1390.11             1        0.0274      0.080463
    63            1390.1             1        0.0107      0.643704
    64            1390.1             1        0.0062      0.651734
    65              1390          0.19        -0.244      0.770069
    66           1389.72             1       -0.0895      0.770069
    67           1389.61             1       -0.0433      0.717521
    68           1388.89         0.223         -1.48      0.442958
    69           1387.89         0.945        -0.346      0.442958
    70           1387.73             1       -0.0306      0.442958
    71            1384.6             1        0.0773      0.147653
    72           1383.58             1         0.168      0.147607
    73           1383.54             1         0.203     0.0821109
    74           1383.52             1         0.229      0.124372
    75           1383.44             1        0.0855      0.191291
    76           1383.42             1        0.0317      0.206121
    77           1383.41             1       0.00882      0.214603
    78            1383.4             1       0.00202      0.217194
    79            1383.4             1     -0.000286      0.217194
    80            1383.4             1      -0.00117      0.206421
    81           1383.39             1      -0.00233      0.134292
    82           1383.36         0.896       -0.0169      0.044764
    83           1383.31             1       -0.0275      0.044764
    84           1384.22             1          5.32     0.0149213
    85           1383.15             1       -0.0372     0.0298427
    86           2070.71         0.591      2.89e+04    0.00994755
    87           2071.12          0.99      1.74e+04     0.0198951
    88           1382.85             1        -0.101     0.0795804
    89           1565.66             1      1.95e+03     0.0369013
    90           1382.54             1          1.16     0.0738026
    91            1391.8         0.942          20.5     0.0831567
    92            1383.3             1          5.12      0.166313
    93           1380.52             1        -0.606      0.665254
    94           1379.07             1          3.24      0.399092
    95           1373.63             1        -0.888      0.436464
    96           1372.41             1        -0.234      0.362699
    97           1372.38        0.0576        -0.219        0.1209
    98           1372.16             1        0.0596        0.1209
    99           1561.42         0.946      2.42e+03      0.084017
   100           1372.33             1             1      0.168034
   101           1372.03             1       -0.0255      0.672136
   102            1372.1             1         0.443      0.224045
   103           1371.98             1       -0.0178      0.448091
   104           1379.11             1            28      0.149364
   105              1372             1         0.235      0.298727
   106           1371.95             1       -0.0131       1.19491
   107           1371.92             1         0.066      0.398303
   108           1371.92             1         0.199      0.398862
   109           1371.84             1       -0.0255      0.797724
   110           1373.31             1          4.14      0.265908
   111           1371.82             1         0.082      0.531816
   112           1371.75             1       0.00182      0.692872
   113           1371.73             1        0.0673      0.642142
   114           1371.67             1        0.0129      0.749484
   115           1371.64         0.907        0.0201      0.738003
   116           1371.61             1        0.0321      0.738003
   117           1371.58             1        0.0169      0.751378
   118           1371.55             1        0.0127      0.751359
   119           1371.53             1       0.00776       0.75132
   120           1371.51             1       0.00444      0.750268
   121           1371.49             1       0.00232       0.74636
   122           1371.48             1       0.00105       0.73766
   123           1371.47             1      0.000307      0.722994
   124           1371.46             1     -0.000115      0.702184
   125           1371.45             1      -0.00035      0.676029
   126           1371.44             1     -0.000479      0.645946
   127           1371.43             1     -0.000546      0.613482
   128           1371.42             1     -0.000577      0.580019
   129           1371.42             1     -0.000586      0.546603
   130           1371.41             1     -0.000583      0.513962
   131            1371.4             1     -0.000571      0.482549
   132            1371.4             1     -0.000556      0.452623
   133           1371.39             1     -0.000537      0.424304
   134           1371.39             1     -0.000517      0.397627
   135           1371.38             1     -0.000496      0.372568
   136           1371.38             1     -0.000474       0.34907
   137           1371.37             1     -0.000453       0.32706
   138           1371.37             1     -0.000433      0.306451
   139           1371.36             1     -0.000413      0.287157
   140           1371.36             1     -0.000394      0.269091
   141           1371.36             1     -0.000375      0.252167
   142           1371.35             1     -0.000358      0.236305
   143           1371.35             1     -0.000341       0.22143
   144           1371.35             1     -0.000325      0.207473
   145           1371.34             1     -0.000311      0.194367
   146           1371.34             1     -0.000297      0.182053
   147           1371.34             1     -0.000283      0.170476
   148           1371.33             1     -0.000271      0.159587
   149           1371.33             1     -0.000259      0.149337
   150           1371.33             1     -0.000249      0.139687
   151           1371.33         0.953     -0.000347      0.130597
   152           1371.33             1     -0.000635      0.130597
   153           1371.32             1      -0.00144     0.0435322
   154           1371.32             1      -0.00163     0.0260011
   155           1371.31             1      -0.00147     0.0186226
   156           1371.31             1      -0.00114     0.0142126
   157           1371.31             1     -0.000547     0.0114869
   158           1371.31             1       0.00106     0.0108843
   159           1371.31             1       0.00523     0.0119625
   160           1371.31             1       0.00461     0.0239251
   161           1371.31             1         0.002     0.0957003
   162           1371.31             1      0.000975       0.15023
   163           1371.31             1      0.000329      0.163121
   164           1371.31             1      8.46e-05      0.168021
   165           1371.31             1      4.83e-06      0.168455
   166           1371.31             1     -2.05e-05      0.167414

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           29671.8
     1           29671.3      1.02e-05     -2.84e+04       0.21602
     2           24660.4         0.082     -2.91e+04       0.21602
     3           23043.5        0.0335      -2.5e+04       0.21602
     4           22602.7        0.0101     -2.22e+04       0.21602
     5           19788.1        0.0613     -2.48e+04       0.21602
     6           17902.2         0.049     -2.02e+04       0.21602
     7           13006.2         0.139     -1.87e+04       0.21602
     8           12028.9        0.0431     -1.12e+04       0.21602
     9           10064.4        0.0955     -1.01e+04       0.21602
    10           6986.14         0.183     -8.27e+03       0.21602
    11           2066.14         0.379           871       0.21602
    12           1931.17         0.145          -454       0.21602
    13           1801.48         0.307           523       0.21602
    14           1704.38         0.232          -252       0.21602
    15           1638.38          0.47          29.5       0.21602
    16           1930.82         0.308      4.12e+04       0.21602
    17           1686.68         0.435      2.48e+04      0.432039
    18           1609.65             1          1.56       1.72816
    19           1611.85         0.286      1.89e+03       1.43035
    20           1614.89         0.297      1.84e+03        2.8607
    21           1619.11         0.344      1.62e+03       11.4428
    22           1621.25         0.574           981       91.5424
    23            1586.3             1         -9.55       732.339
    24           1613.55         0.808           334       244.113
    25           1615.09         0.893           302       488.226
    26           1576.87             1          8.89        1952.9
    27           1572.41             1         -1.38       650.968
    28           1527.63             1           -15       216.989
    29           1482.39         0.333           -57       153.502
    30           1433.43             1         -8.26       153.502
    31           1419.67             1         -4.34       51.1674
    32           1418.33         0.138         -4.71       17.0558
    33            1411.3             1         -2.29       17.0558
    34           1407.49             1         0.326       5.68527
    35           1407.23             1          3.42       2.62893
    36           1403.95             1        -0.526       4.09627
    37           1403.83         0.102        -0.575       1.36542
    38           1404.27             1          2.19       1.36542
    39           1403.31             1        -0.115       2.73085
    40           1402.76             1         -0.18       2.16249
    41           1402.22             1        -0.139       1.37538
    42           1401.43             1        -0.333       1.05953
    43           1399.08             1        -0.113      0.353178
    44           1397.15         0.136         -6.64      0.307961
    45           1395.96             1        -0.165      0.307961
    46           1396.03             1         0.226      0.114323
    47           1395.87             1       -0.0182      0.228647
    48           1395.79             1       -0.0278      0.213576
    49           1395.68             1       -0.0482      0.148162
    50           1394.45             1       -0.0213     0.0767584
    51            1395.4             1          5.63     0.0665843
    52           1393.09             1         0.834      0.133169
    53           1395.79         0.429          20.3      0.133156
    54           1394.63         0.647            12      0.266312
    55           1389.52             1        -0.902       1.06525
    56           1385.19         0.858         -1.12      0.914618
    57           1384.11         0.218          -2.1      0.914618
    58           1382.04             1        -0.426      0.914618
    59           1381.65         0.466        -0.322      0.350967
    60           1381.26             1        -0.115      0.350967
    61            1378.3             1         -1.01      0.291044
    62           1376.25             1      -0.00194      0.148254
    63           1779.29         0.792      7.86e+03     0.0644745
    64           1388.41             1          64.9      0.128949
    65           1375.63             1         -0.16      0.515796
    66           1377.63             1          7.87      0.171932
    67           1375.38             1         0.138      0.343864
    68           1375.16             1         0.111      0.332762
    69            1374.9             1       -0.0192      0.332654
    70           1374.74             1       -0.0255      0.307521
    71           1374.64             1       -0.0223      0.273379
    72           1374.56             1        -0.018      0.234236
    73           1374.51             1       -0.0152      0.198082
    74           1374.46             1       -0.0128      0.165309
    75           1374.43             1        -0.011      0.137132
    76            1374.4             1       -0.0094      0.113005
    77           1374.37             1      -0.00805      0.092545
    78           1374.35             1      -0.00687     0.0752427
    79           1374.34             1      -0.00585     0.0606975
    80           1374.32             1      -0.00497     0.0485592
    81           1374.31             1      -0.00422     0.0385131
    82            1374.3             1       -0.0033     0.0302692
    83            1374.3         0.325      -0.00381     0.0222847
    84           1374.29             1      -0.00253     0.0222847
    85           1374.29             1      -0.00241      0.015186
    86           1374.28             1      -0.00233     0.0107557
    87           1374.28             1      -0.00261    0.00719968
    88           1374.27             1      -0.00593    0.00401083
    89           1374.26         0.112       -0.0274    0.00133694
    90           1373.91         0.344          63.8    0.00133694
    91           2470.26         0.811      1.14e+06    0.00133694
    92           1372.45             1        -0.022    0.00267388
    93           2453.82        0.0812      4.33e+06   0.000943415
    94           2452.73          0.15      2.37e+06    0.00188683
    95           2445.83         0.562      6.63e+05    0.00754732
    96           1372.39             1        0.0765     0.0603785
    97           1372.38             1        0.0657      0.060735
    98           1372.36             1        0.0658     0.0927699
    99           1372.33             1        0.0341       0.11512
   100           1372.32         0.126       -0.0423      0.120234
   101           1372.27             1       -0.0106      0.120234
   102           1372.26             1         0.297      0.097788
   103           1380.55             1          50.5      0.134227
   104           1372.02             1       -0.0207      0.268454
   105           2237.75         0.931       1.8e+04      0.109704
   106           1373.82             1          7.08      0.219409
   107           1371.87             1       -0.0531      0.877635
   108           1372.34             1          1.98      0.292545
   109           1371.76             1       -0.0143       0.58509
   110            1376.6             1          17.5       0.19503
   111           1371.76             1         0.417       0.39006
   112           1371.45             1        -0.052      0.776478
   113           1371.44             1         0.167      0.258826
   114           1371.32             1        -0.014       0.38969
   115           1371.31             1      7.06e-05      0.129897
   116            1371.3             1      -0.00101      0.112779
   117            1371.3             1      3.17e-05     0.0375929
   118            1371.3             1      0.000152     0.0293863
   119            1371.3             1       0.00031     0.0372851

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           54172.9
     1           54142.2      0.000303     -5.06e+04      0.549376
     2           54113.5      0.000284     -5.06e+04      0.549376
     3             54076      0.000371     -5.06e+04      0.549376
     4           53768.4         0.003     -5.21e+04      0.549376
     5           53331.7       0.00425     -5.26e+04      0.549376
     6           53314.1      0.000177     -4.97e+04      0.549376
     7             53293      0.000212     -4.96e+04      0.549376
     8           36097.2         0.147     -6.74e+04      0.549376
     9             35488       0.00875     -3.57e+04      0.549376
    10           28787.9        0.0801     -5.09e+04      0.549376
    11           16187.1         0.169     -4.65e+04      0.549376
    12           10950.5         0.168     -1.57e+04      0.549376
    13           3657.35         0.603     -1.73e+03      0.549376
    14            3561.3         0.023     -2.05e+03      0.549376
    15           2671.32         0.209      -3.2e+03      0.549376
    16           1974.15         0.737           622      0.549376
    17           1769.26         0.253          -297      0.549376
    18           1509.57         0.962           -42      0.549376
    19           1487.01         0.172         -50.2      0.549376
    20           1407.33             1         -28.6      0.549376
    21           1295.64         0.437          -112      0.509468
    22           1106.57         0.842         -55.4      0.509468
    23           1074.45             1         -3.15      0.509468
    24           1069.36             1         -1.33       0.46231
    25           1051.59             1         -2.84      0.438627
    26           1040.09             1         -3.54      0.146209
    27           1031.93             1         -2.28     0.0487364
    28           1025.14             1         -2.24     0.0162455
    29           1022.24          0.69         -1.53    0.00541515
    30            1020.6             1        -0.445    0.00541515
    31           1020.49          0.26        -0.187    0.00180505
    32           1020.28             1       -0.0559    0.00180505
    33           1020.25             1      -0.00887   0.000601683
    34           1028.71             1           135   0.000200561
    35            1020.3             1         0.225   0.000401122
    36           1020.24             1      -0.00283    0.00160449
    37           1548.11         0.673      1.15e+04    0.00053483
    38           1550.01         0.678      1.15e+04    0.00106966
    39           1546.82         0.675      1.14e+04    0.00427864
    40           1546.81         0.683      1.13e+04     0.0342291
    41           1550.78         0.736      1.04e+04      0.273833
    42           1019.71        0.0178           -15       2.19066
    43            1021.6         0.929           111       2.19066
    44           1013.89         0.266         -10.2       4.38133
    45            1003.2             1          2.25       4.38133
    46            1002.6        0.0942         -3.05       1.70032
    47           999.819             1        -0.341       1.70032
    48           999.669          0.48         -0.12      0.566775
    49           999.573             1       -0.0203      0.566775
    50           999.552             1      -0.00783      0.188925
    51           999.527             1       -0.0103      0.062975
    52           999.508             1      -0.00821      0.038229
    53           999.493             1      -0.00651     0.0247699
    54            999.48             1      -0.00547      0.015646
    55           999.469             1      -0.00456     0.0098717
    56           999.459             1      -0.00418    0.00616329
    57           999.451             1      -0.00351    0.00387159
    58           999.444             1      -0.00326    0.00238752
    59           999.432             1      -0.00462    0.00137579
    60           999.428             1       -0.0016    0.00105482
    61            999.42             1      -0.00329    0.00080262
    62           999.418             1     -0.000832   0.000643279
    63           999.417             1     -0.000254   0.000214426
    64           999.417             1      0.000135   0.000174724
    65           999.417             1     -0.000231   0.000349449
    66           999.416         0.105      -0.00173   0.000281733
    67           999.413             1      -0.00143   0.000281733
    68           999.413         0.563     -0.000317    0.00014053
    69           999.413             1      3.42e-05    0.00014053
    70           999.411             1     -0.000642   0.000149637
    71           999.411         0.444     -0.000583   6.00911e-05
    72            999.41             1     -0.000476   6.00911e-05
    73            999.41          0.29      -1.6e-05   2.43266e-05
    74           999.409             1     -0.000377   2.43266e-05
    75           999.409        0.0349     -0.000579   8.10887e-06
    76           999.409        0.0367     -0.000401   8.10887e-06
    77           999.409             1      -0.00023   8.10887e-06
    78           999.408             1     -0.000129   2.70296e-06
    79           999.408       0.00116      -0.00152   9.00985e-07
    80           999.408         0.156      -1.5e-06   9.00985e-07
    81           999.408             1     -0.000252   9.00985e-07
    82           999.408         0.255     -0.000269   3.00328e-07
    83           999.407             1     -0.000309   3.00328e-07
    84           999.407             1     -5.49e-05   1.00109e-07
    85           999.406             1     -0.000354    5.5464e-08
    86           999.406             1     -0.000135   2.13311e-08

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             19965
     1           19963.2      4.92e-05     -1.83e+04      0.226461
     2           19962.8      1.21e-05     -1.83e+04      0.226461
     3           16398.1        0.0824     -2.54e+04      0.226461
     4           15636.6        0.0246     -1.62e+04      0.226461
     5           13857.6        0.0592      -1.6e+04      0.226461
     6           10733.1         0.115     -1.47e+04      0.226461
     7           8460.08          0.13      6.59e+06      0.226461
     8            7248.1        0.0701      -1.1e+04      0.226461
     9            2797.8          0.21     -1.51e+04      0.226461
    10            2039.4         0.283          -434      0.226461
    11           7199.63         0.556      3.59e+05      0.226461
    12           6089.97         0.668      1.52e+05      0.452922
    13           4731.34         0.825      3.04e+04       1.81169
    14           1889.58             1           791       14.4935
    15           1705.94             1           581       15.0644
    16           1557.94             1          38.4       15.0625
    17              1527             1           1.6       12.5834
    18           1519.17             1          6.91       4.19447
    19           1510.99             1          -1.4       4.10187
    20           1509.13             1          4.89       1.36729
    21           1505.44             1        -0.125       1.38077
    22           1504.84             1         0.461      0.460257
    23           1504.47             1      -0.00994      0.458137
    24           1504.39             1        0.0192      0.152712
    25            1504.3             1       -0.0261      0.144417
    26           1504.37             1         0.315     0.0481389
    27           1503.83         0.127          14.6     0.0962778
    28           1501.82             1         0.515     0.0962778
    29           1500.55             1          0.29     0.0967858
    30           1501.25             1          5.64     0.0968045
    31           1499.76             1        -0.128      0.193609
    32              5764         0.719       2.5e+05     0.0645363
    33           1543.61             1           297      0.129073
    34           1499.51             1       -0.0625      0.516291
    35           1534.72             1           195      0.172097
    36           1499.86             1          1.66      0.344194
    37           1499.39             1       -0.0517       1.37677
    38           1499.53             1          0.94      0.458925
    39           1499.26             1       -0.0349       0.91785
    40           1505.19             1          21.3       0.30595
    41           1499.29             1         0.588        0.6119
    42           1499.16             1       -0.0419        2.4476
    43            1499.1             1         0.272      0.815867
    44           1498.94             1         0.295      0.846678
    45           1498.68             1         0.243      0.847353
    46           1498.32             1          0.01      0.846163
    47           1498.11             1        0.0171      0.636427
    48           1497.93             1       -0.0345      0.494307
    49           1497.89          0.19        -0.084      0.164769
    50           1497.82             1      -0.00117      0.164769
    51           1496.26         0.147         -4.67      0.105595
    52           1493.45         0.558         -1.43      0.105595
    53           1492.57             1       -0.0862      0.105595
    54           1482.19             1          3.12     0.0460247
    55           1477.33         0.149         -13.6     0.0460287
    56           1466.28             1        -0.854     0.0460287
    57           1467.29             1          4.62     0.0299208
    58           1466.92             1          4.29     0.0598417
    59           1465.25             1           2.7      0.239367
    60              1461             1        -0.558      0.302435
    61            1459.3             1        -0.142      0.266888
    62           1459.21             1        0.0418      0.098106
    63           1459.14             1        0.0572     0.0980948
    64           1430.03         0.535          38.6      0.101915
    65           1419.87        0.0676         -66.3      0.101915
    66           1409.67             1          4.72      0.101915
    67           1428.65         0.443           108      0.105643
    68           1427.08         0.475          94.3      0.211286
    69           1419.51         0.742          45.4      0.845145
    70           1399.61             1        -0.866       6.76116
    71           1401.75             1          7.46       2.25372
    72           1398.73             1         0.159       4.50744
    73           1398.01             1        -0.203       4.03435
    74           1397.74          0.41        -0.304       1.34478
    75           1397.39             1        -0.123       1.34478
    76           1397.24             1       -0.0514      0.720906
    77           1397.18             1       -0.0184      0.388102
    78           1397.13             1       -0.0181      0.250426
    79           1397.09             1       -0.0144      0.151213
    80           1397.06             1       -0.0104      0.122032
    81           1397.04             1      -0.00682     0.0992773
    82           1397.04         0.201      -0.00735     0.0843434
    83           1397.02             1      -0.00557     0.0843434
    84           1397.02             1        0.0108     0.0641658
    85           1397.03         0.335        0.0749     0.0721527
    86           1397.02         0.412        0.0239      0.144305
    87           1397.01         0.817      -0.00122      0.577222
    88           1397.01             1     -0.000622      0.577222
    89           1397.01             1      -0.00131      0.192407
    90              1397             1      -0.00236     0.0768336
    91              1397        0.0886      -0.00345     0.0502303
    92              1397             1      0.000862     0.0502303
    93           1397.23             1         0.493     0.0501733
    94           1397.04             1        0.0824      0.100347
    95           1396.99             1      0.000131      0.401387
    96           1396.99             1     -0.000227      0.394531
    97           1396.99             1     -0.000616       0.13151
    98           1396.99         0.518      -0.00159     0.0438368
    99           1396.99             1      0.000326     0.0438368
   100           1397.14             1         0.282     0.0435066
   101           1397.02             1        0.0688     0.0870133
   102           1396.99             1      0.000819      0.348053
   103           1396.99             1     -0.000137      0.387806
   104           1396.99             1     -0.000178      0.199019
   105           1396.98             1     -0.000155      0.138872
   106           1396.98         0.641      1.58e-06      0.121505
   107           1396.98             1      0.000135      0.121505
   108           1396.99             1       0.00423      0.121504
   109           1396.98             1      0.000536      0.243008
   110           1396.98             1      3.39e-05      0.304581
   111           1396.98             1     -2.67e-05      0.300738
   112           1396.98             1        -5e-05      0.291672
   113           1396.98             1     -6.64e-05      0.272791
   114           1396.98             1     -7.85e-05      0.242962
   115           1396.98         0.991     -7.87e-05      0.208458
   116           1396.98             1     -4.89e-05      0.208458
   117           1396.98             1      -2.1e-06      0.198663
   118           1396.98             1       8.9e-05      0.197326
   119           1396.98         0.819      0.000115      0.197375
   120           1396.98             1      5.57e-05      0.197375
   121           1396.98             1      0.000225      0.197364
   122           1396.98             1      0.000367       0.20755
   123           1396.98             1      0.000392      0.240097
   124           1396.98             1       0.00022      0.274147
   125           1396.98             1      0.000122      0.276667
   126           1396.98             1      7.65e-05      0.277083
   127           1396.98             1      5.09e-05      0.277137
   128           1396.98             1       2.6e-05      0.277138
   129           1396.98             1      8.86e-06      0.277034
   130           1396.98             1     -6.72e-06      0.276285
   131           1396.98             1     -1.77e-05      0.273282
   132           1396.98             1     -2.66e-05       0.26688
   133           1396.98             1     -3.17e-05      0.255616
   134           1396.98             1     -3.31e-05      0.241604
   135           1396.98             1     -2.73e-05      0.227757
   136           1396.98             1     -1.28e-05       0.21901
   137           1396.98             1      1.52e-05      0.215658
   138           1396.98             1       5.1e-05      0.215442
   139           1396.98          0.99      0.000102      0.215467
   140           1396.98             1      0.000145      0.215467
   141           1396.98             1      0.000204      0.222501
   142           1396.98             1      0.000196      0.243819
   143           1396.98             1      0.000156      0.257514
   144           1396.98             1      0.000119      0.265145

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           61359.5
     1           59166.2        0.0184     -6.06e+04       0.22592
     2           47291.6        0.0853     -8.84e+04       0.22592
     3           43393.7        0.0352     -6.81e+04       0.22592
     4           40705.5        0.0284     -5.43e+04       0.22592
     5           27112.7         0.106     -1.12e+05       0.22592
     6           17161.5         0.166      4.18e+06       0.22592
     7           11934.6         0.159     -1.81e+04       0.22592
     8           3579.91          0.38     -6.23e+03       0.22592
     9           2952.31         0.172         -17.3       0.22592
    10           2220.32         0.264     -1.33e+03       0.22592
    11           5069.13         0.669       3.4e+04       0.22592
    12           2733.05          0.65      1.36e+04       0.45184
    13           4853.41         0.911      2.34e+04       1.80736
    14           1675.13             1           561       14.4589
    15           1638.57        0.0716          -247       12.9614
    16            1416.3             1            30       12.9614
    17           1401.42             1          4.18       4.32048
    18           1395.47             1         -1.15       2.46035
    19           1393.09             1        -0.632      0.820118
    20           1392.92         0.141         -0.59      0.292208
    21           1391.99             1        -0.346      0.292208
    22            1389.4         0.666         -1.82     0.0974027
    23           1389.13             1      -0.00448     0.0974027
    24           1389.02             1        -0.044     0.0866764
    25           1411.35         0.969           850     0.0288921
    26           1383.45             1        -0.147     0.0577843
    27           1407.34         0.462           885     0.0326434
    28           1406.21         0.904           463     0.0652868
    29            1382.6             1       -0.0765      0.261147
    30           1404.85         0.827           261     0.0870491
    31           1382.66             1          2.59      0.174098
    32           1380.11             1        -0.742      0.696392
    33           1378.32         0.609         -1.02      0.442447
    34           1376.91             1        -0.381      0.442447
    35           1379.81         0.609          34.6      0.147482
    36           1376.39             1          2.96      0.294965
    37           1375.55         0.278         0.952      0.294968
    38           1373.58         0.628        -0.884      0.294968
    39            1373.2             1       -0.0372      0.294968
    40           1373.12             1        0.0832     0.0983225
    41            1372.9             1         0.116       0.09178
    42           1372.48             1        -0.072     0.0846336
    43           1372.22             1       -0.0596     0.0471755
    44           1372.21        0.0289        -0.186     0.0157252
    45           1666.18         0.804      4.32e+04     0.0157252
    46           1372.15             1       -0.0276     0.0314503
    47           1668.04         0.238      5.66e+04     0.0104834
    48           1668.05         0.463       2.9e+04     0.0209669
    49           1372.09             1        0.0686     0.0838676
    50           1670.99          0.77      8.26e+03     0.0626464
    51           1372.77             1          3.12      0.125293
    52              1372             1       -0.0232      0.501171
    53           1372.26             1          1.18      0.167057
    54           1371.95             1       -0.0144      0.334114
    55           1529.38             1      1.66e+03      0.111371
    56           1372.18             1         0.929      0.222743
    57           1371.91             1       -0.0163      0.890971
    58           1371.95             1         0.302       0.29699
    59           1371.86             1       -0.0157      0.593981
    60           1374.98             1          10.8      0.197994
    61           1371.85             1         0.121      0.395987
    62           1371.77             1        0.0314      0.540973
    63           1371.76             1         0.159      0.533932
    64           1371.62             1       -0.0285      0.997701
    65           1372.43             1          1.94      0.394956
    66           1371.62             1        0.0491      0.789911
    67           1371.56             1      -0.00848       1.05893
    68           1371.56             1        0.0502      0.809376
    69           1371.54             1      -0.00766       1.61875
    70           1371.59             1         0.151      0.679476
    71           1371.53             1      -0.00124       1.35895
    72           1371.51             1      0.000459       1.22656
    73            1371.5             1      0.000277       1.18334
    74           1371.48             1      0.000729       1.14047
    75           1371.47             1      0.000519       1.11072
    76           1371.46             1      0.000432       1.07945
    77           1371.45             1      0.000228       1.04915
    78           1371.44             1      8.52e-05       1.01645
    79           1371.43           0.7      -0.00279      0.982133
    80           1371.43             1      0.000314      0.982133
    81           1371.42             1     -0.000661      0.959169
    82           1371.42             1      -9.8e-05      0.891511
    83           1371.41             1     -0.000449      0.857636
    84            1371.4             1     -0.000247      0.806675
    85            1371.4             1     -0.000375      0.768911
    86           1371.39             1     -0.000297      0.725188
    87           1371.39             1     -0.000341       0.68749
    88           1371.38             1     -0.000307       0.64843
    89           1371.38             1     -0.000319      0.612744
    90           1371.38             1     -0.000301      0.577565
    91           1371.37             1       -0.0003      0.544734
    92           1371.37             1     -0.000288       0.51312
    93           1371.37             1     -0.000283      0.483404
    94           1371.36             1     -0.000273      0.455118
    95           1371.36             1     -0.000265      0.428477
    96           1371.36             1     -0.000257      0.403265
    97           1371.35             1     -0.000249      0.379515
    98           1371.35             1     -0.000241      0.357103
    99           1371.35             1     -0.000233      0.335997
   100           1371.34             1     -0.000225      0.316106
   101           1371.34             1     -0.000218      0.297376
   102           1371.34             1     -0.000211      0.279734
   103           1371.34             1     -0.000204       0.26312
   104           1371.34             1     -0.000197      0.247469
   105           1371.33             1     -0.000191      0.232725
   106           1371.33             1     -0.000184      0.218831
   107           1371.33             1     -0.000178      0.205734
   108           1371.33             1     -0.000172      0.193387
   109           1371.33             1     -0.000167       0.18174
   110           1371.32             1     -0.000161      0.170753
   111           1371.32             1     -0.000156      0.160383
   112           1371.32             1     -0.000151      0.150593
   113           1371.32         0.904     -0.000296      0.141348
   114           1371.32             1     -0.000383      0.141348
   115           1371.32             1     -0.000892      0.047116
   116           1371.31             1      -0.00108     0.0267722
   117           1371.31             1     -0.000989      0.019223
   118           1371.31             1     -0.000778     0.0148591
   119           1371.31             1     -0.000369     0.0121864
   120           1371.31             1      0.000765     0.0115835
   121           1371.31         0.598       0.00112     0.0128801
   122           1371.31             1       0.00141     0.0128801
   123           1371.31             1       0.00127     0.0257602
   124           1371.31             1      0.000503      0.103041
   125           1371.31             1      0.000265      0.129793
   126           1371.31             1        0.0001      0.139546
   127            1371.3             1      2.54e-05      0.141964
   128            1371.3             1      -5.2e-06      0.141965
   129            1371.3             1     -1.79e-05       0.13832
   130            1371.3             1     -2.81e-05      0.109181

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           22860.5
     1           22858.7      4.28e-05     -2.13e+04      0.682784
     2           22856.2      5.75e-05     -2.13e+04      0.682784
     3           22851.1       0.00012     -2.14e+04      0.682784
     4           22847.3      8.87e-05     -2.13e+04      0.682784
     5           22827.4      0.000466     -2.14e+04      0.682784
     6           22800.8      0.000623     -2.14e+04      0.682784
     7           22752.9       0.00112     -2.15e+04      0.682784
     8           22676.5       0.00179     -2.15e+04      0.682784
     9           22375.6       0.00694     -2.22e+04      0.682784
    10           21462.2        0.0205     -2.37e+04      0.682784
    11           11057.6         0.181     -3.27e+04      0.682784
    12           10236.2        0.0481      3.07e+06      0.682784
    13           9751.04        0.0278     -9.12e+03      0.682784
    14           9304.45        0.0273     -8.51e+03      0.682784
    15           7801.99        0.0862     -1.01e+04      0.682784
    16           5238.76         0.115     -1.95e+04      0.682784
    17           4225.21         0.103     -6.82e+03      0.682784
    18           3282.85         0.154     -3.01e+03      0.682784
    19           6472.11         0.462      1.42e+05      0.682784
    20           5994.67         0.487      1.22e+05       1.36557
    21           5722.52         0.565      1.06e+05       5.46227
    22           1963.94         0.792      1.35e+03       43.6981
    23            1723.1             1         -29.7       43.6981
    24           1685.57             1         -7.69        14.566
    25           1672.45         0.722         -5.43       4.85535
    26           1668.13             1         -1.05       4.85535
    27           1662.66             1         -2.77       1.61845
    28           1501.15             1          34.9      0.539483
    29           1478.52             1         -2.67      0.206145
    30           1473.21             1         -1.21      0.171493
    31           1471.63         0.591         -1.02      0.122091
    32           1470.21         0.554         -1.12      0.122091
    33           1466.87             1         -1.56      0.122091
    34            1454.1         0.597         -10.1     0.0563392
    35           1450.64        0.0208         -82.6     0.0563392
    36           1442.17        0.0424         -98.4     0.0563392
    37           1440.73       0.00491          -147     0.0563392
    38           1199.86             1           -89     0.0563392
    39           1093.06             1          11.5     0.0187797
    40           1097.46             1          59.7       0.01636
    41           1073.59             1         0.576     0.0327199
    42           1155.98         0.729           234     0.0136887
    43           1092.25             1          36.5     0.0273774
    44           1072.34             1        -0.107       0.10951
    45           1074.79             1          4.49     0.0652735
    46            1072.3             1         0.214      0.130547
    47           1072.25             1         0.182      0.172938
    48           1072.15             1         0.096      0.220211
    49           1072.11             1         0.123      0.223677
    50           1071.95             1       -0.0178      0.284956
    51           1071.91             1        0.0246      0.249469
    52           1071.83             1       -0.0129      0.249939
    53           1071.77             1       -0.0125      0.229248
    54           1071.72             1       -0.0143      0.207749
    55           1071.68             1       -0.0127      0.175146
    56           1071.65             1       -0.0113      0.147781
    57           1071.62             1      -0.00935      0.121657
    58            1071.6             1      -0.00759     0.0998348
    59           1071.58             1      -0.00613     0.0810611
    60           1071.57             1      -0.00503     0.0649728
    61           1071.56             1      -0.00425     0.0511143
    62           1071.55             1      -0.00374      0.039257
    63           1071.55         0.051      -0.00492     0.0292811
    64           1071.54             1      -0.00338     0.0292811
    65           1071.53             1      -0.00328     0.0208775
    66           1071.53             1      -0.00329     0.0144661
    67           1071.52             1      -0.00337    0.00969652
    68           1071.51             1      -0.00346    0.00632688
    69            1071.5             1      -0.00336    0.00404103
    70           1071.47      0.000805         -21.4    0.00208584
    71           1059.44         0.413         -9.19    0.00208584
    72           1053.68             1        -0.787    0.00208584
    73            1052.8             1         -0.12    0.00117961
    74           1052.75             1      -0.00765   0.000393202
    75           1052.74             1      -0.00424   0.000131067
    76           1052.74      5.05e-05         -11.5    0.00011699
    77           1052.73             1       -0.0017    0.00011699
    78           1052.73             1      -0.00151   6.87633e-05
    79           1052.73             1      -0.00123   4.47709e-05
    80           1052.73             1      -0.00104    2.8399e-05
    81           1052.72             1     -0.000894   1.79685e-05
    82           1052.72             1     -0.000767   1.13603e-05
    83           1054.52         0.636          14.1   7.18137e-06
    84           1052.72      6.89e-05        -0.707   1.43627e-05
    85           1054.51         0.634          14.1   1.43627e-05
    86           1054.51         0.634          14.2   2.87255e-05
    87           996.773             1          -4.4   0.000114902
    88           989.125         0.467         -3.78   3.92362e-05
    89           984.641             1         -0.96   3.92362e-05
    90           984.195             1        -0.115   1.30787e-05
    91           1050.05         0.226      1.05e+06   4.35958e-06
    92           1050.17         0.452      5.25e+05   8.71915e-06
    93           984.132             1       -0.0177   3.48766e-05
    94           1050.49        0.0535      1.99e+06   1.16255e-05
    95           1050.53         0.106         1e+06   2.32511e-05
    96           1050.74         0.422      2.53e+05   9.30043e-05
    97           984.122             1      -0.00318   0.000744034
    98           1051.16         0.391      1.93e+05   0.000248011
    99            1051.2         0.782      9.67e+04   0.000496023
   100           984.119             1      -0.00177    0.00198409
   101           1051.24         0.329      1.56e+05   0.000661364
   102           1051.27         0.656      7.84e+04    0.00132273
   103           984.115             1      -0.00305    0.00529091
   104           1051.28         0.363      8.79e+04    0.00176364
   105           1051.28         0.723      4.41e+04    0.00352727
   106            984.11             1      -0.00393     0.0141091
   107           1051.24         0.636      3.28e+04    0.00470303
   108           984.062             1       -0.0927    0.00940607
   109           1050.98         0.116      3.83e+04    0.00313536
   110           1050.96         0.212      2.09e+04    0.00627071
   111           1050.83         0.789      5.63e+03     0.0250828
   112           984.045             1      -0.00726      0.200663
   113           983.968             1       -0.0615     0.0668876
   114           1050.31         0.342      4.88e+03     0.0222959
   115           1050.25         0.638      2.62e+03     0.0445917
   116           983.879             1       -0.0547      0.178367
   117           1050.01         0.616      1.66e+03     0.0594556
   118           987.696             1          25.8      0.118911
   119           983.821             1       -0.0311      0.475645
   120           984.999             1          5.97      0.158548
   121           983.734             1       -0.0174      0.317097
   122           1050.46          0.78           700      0.105699
   123           985.196             1          5.71      0.211398
   124           983.663             1       -0.0291      0.845591
   125            984.09             1           1.6      0.281864
   126           983.602             1      -0.00248      0.563727
   127           983.927             1          1.06      0.351079
   128            983.54             1      -0.00626      0.702157
   129           983.546             1         0.139      0.558299
   130            983.49             1       -0.0167        1.1166
   131           983.739             1         0.695      0.432471
   132           983.464             1       0.00905      0.864943
   133           983.438             1        0.0115      0.855225
   134           983.416             1       0.00693       0.85462
   135           983.398             1      0.000257      0.852058
   136            983.39             1      -0.00109      0.810501
   137           983.387             1     -0.000431      0.686157
   138           983.387             1     -8.87e-05      0.556927

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0       1.02217e+06
     1       1.02214e+06      1.28e-05        -1e+06       16.6881
     2       1.02211e+06      1.48e-05        -1e+06       16.6881
     3       1.02208e+06      1.51e-05        -1e+06       16.6881
     4       1.02173e+06      0.000176     -1.01e+06       16.6881
     5            861885        0.0718     -1.18e+06       16.6881
     6            759575        0.0556      -9.9e+05       16.6881
     7            616148        0.0861     -9.21e+05       16.6881
     8            615488      0.000552     -5.98e+05       16.6881
     9            551220        0.0543     -5.85e+05       16.6881
    10            550994      0.000211     -5.34e+05       16.6881
    11            431587         0.112     -5.33e+05       16.6881
    12            119610         0.389     -3.37e+05       16.6881
    13           5965.61         0.635      2.25e+03       16.6881
    14           3532.61         0.601      8.92e+03       16.6881
    15           2099.67         0.622          -568       16.6881
    16           2025.57         0.226          -147       16.6881
    17           1877.29             1         -31.3       16.6881
    18           1815.34         0.624            14        5.5627
    19           1777.49             1          11.4        5.5627
    20              1772             1        -0.946       2.52861
    21            1770.5             1        -0.612       1.93256
    22           1769.21             1        -0.622       1.34676
    23            1765.8             1         -2.33      0.497389
    24           1764.13         0.128         -7.78      0.165796
    25           1759.36         0.226         -15.4      0.165796
    26           1733.23         0.455            63      0.165796
    27           1731.65        0.0779         -9.74      0.165796
    28           1724.12             1          1.24      0.165796
    29           1723.08             1        -0.143     0.0712941
    30           1722.99             1       -0.0215     0.0237647
    31           1722.97             1      -0.00428    0.00792157
    32           1701.01             1         0.257    0.00264052
    33           1700.46             1      -0.00757   0.000880175
    34           1700.43          0.69       -0.0112   0.000293392
    35           1700.42             1      -0.00233   0.000293392
    36           1692.35             1          5.96   9.77972e-05
    37           1688.52             1        -0.323   3.25991e-05
    38            1688.4             1       -0.0239   1.08664e-05
    39           1688.39             1      -0.00317   3.62212e-06
    40           1688.38             1      -0.00062   1.20737e-06
    41           1677.52         0.775          12.2   4.02458e-07
    42           1676.33             1          10.8   4.02458e-07
    43           1670.07             1       -0.0155    5.6005e-07
    44           1669.83         0.261           177   2.23395e-07
    45           1670.09             1         0.642   2.23395e-07
    46           1676.91             1          7.61   4.46791e-07
    47           1670.09             1         0.642   1.78716e-06
    48           1676.87             1          7.56   1.42973e-05
    49           1670.07             1          0.63   0.000114378
    50           1674.73             1          5.31   0.000915028
    51           1670.35             1         0.873    0.00732022
    52           1669.28             1       -0.0962     0.0585618
    53           1669.14             1       -0.0274     0.0264278
    54           1669.09             1       -0.0132    0.00880928
    55           1669.08             1      -0.00562    0.00724609
    56           1661.96        0.0384         -71.6    0.00241536
    57           1667.17             1          28.7    0.00241536
    58           1664.87             1            26    0.00483073
    59           1655.76             1          15.5     0.0193229
    60           1635.84             1        -0.581     0.0331499
    61           1631.01         0.861         -1.92     0.0314046
    62           1612.77             1         -8.81     0.0314046
    63           1283.25             1         -86.6     0.0107293
    64           1250.16             1          12.2    0.00357643
    65           1232.61             1         0.588    0.00355444
    66           1232.24             1       -0.0631    0.00118481
    67           1232.19             1       -0.0169   0.000394938
    68           1232.18         0.463      -0.00855   0.000131646
    69           1232.15             1      -0.00674   0.000131646
    70           1232.15             1       -0.0012      0.000131
    71           1231.53       0.00135          -229   4.36667e-05
    72           1203.96        0.0627          -211   4.36667e-05
    73           1138.86         0.183          -156   4.36667e-05
    74            1071.5         0.397         -54.1   4.36667e-05
    75            1058.2         0.173         -34.4   4.36667e-05
    76           1040.01             1          19.8   4.36667e-05
    77            1029.6             1         0.082   4.29255e-05
    78           1029.19             1      -0.00258   1.91555e-05
    79           1029.18             1       0.00354   6.38517e-06
    80           1029.18             1      0.000743   2.12839e-06
    81           1029.17             1      -0.00239    1.6724e-06
    82           1029.16             1      -0.00136   1.64257e-06
    83           1029.16        0.0104       -0.0042   5.47525e-07
    84           1029.16       0.00251      -0.00407   5.47525e-07
    85           1029.15             1       -0.0078   5.47525e-07
    86           1029.12             1       -0.0126   1.82508e-07
    87           1029.11      0.000801         -6.12   1.22563e-07
    88           1029.11        0.0686       -0.0298   1.22563e-07
    89           4321.25         0.571       2.2e+07   1.22563e-07
    90           4321.58         0.432      2.91e+07   2.45126e-07
    91           4321.04         0.665      1.89e+07   9.80506e-07
    92           4321.75         0.355      3.53e+07   7.84405e-06
    93           1028.87             1        -0.359   6.27524e-05
    94           4316.82         0.043      9.58e+07   2.09175e-05
    95           4316.78        0.0594      6.94e+07   4.18349e-05
    96           4316.57         0.136      3.04e+07    0.00016734
    97           4314.68         0.831      4.96e+06    0.00133872
    98            1028.8             1       -0.0399     0.0107097
    99           1027.61             1         -2.26    0.00356991
   100           4295.28        0.0597      1.48e+07    0.00118997
   101           4295.19        0.0663      1.33e+07    0.00237994
   102           4294.56          0.11      8.03e+06    0.00951977
   103           4288.79         0.512      1.72e+06     0.0761582
   104           1027.03             1        -0.389      0.609265
   105           4268.03         0.556      1.15e+06      0.203088
   106            1030.3             1           608      0.406177
   107           1026.32             1        -0.469       1.62471
   108           4246.87         0.882      5.36e+05      0.541569
   109           1022.56             1          -4.2       1.08314
   110           4165.66         0.527      3.51e+05      0.361046
   111           4155.26         0.776      2.37e+05      0.722092
   112           1018.44             1         -3.13       2.88837
   113           1013.09         0.716          9.17      0.962789
   114           1011.01             1       -0.0164      0.962789
   115           1010.94             1      0.000278       0.32093

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            111983
     1            111073       0.00417     -1.09e+05        2.0224
     2            111042      0.000143     -1.08e+05        2.0224
     3            107633        0.0161     -1.04e+05        2.0224
     4            107603      0.000142     -1.05e+05        2.0224
     5            107588      7.18e-05     -1.05e+05        2.0224
     6           99072.8        0.0455     -8.28e+04        2.0224
     7             97577       0.00787     -9.37e+04        2.0224
     8           80747.6         0.109     -5.91e+04        2.0224
     9             75017        0.0327     -9.93e+04        2.0224
    10           46869.6         0.117     -2.02e+05        2.0224
    11             31594         0.123      -8.5e+04        2.0224
    12           15244.9         0.239     -3.88e+04        2.0224
    13           5666.93         0.416      8.18e+04        2.0224
    14           2741.48         0.601      1.54e+04        2.0224
    15           7850.49             1      3.26e+04        2.0224
    16           2316.37             1      1.29e+03        4.0448
    17              1897         0.309          -619       4.13514
    18              1663             1           372       4.13514
    19           1578.07             1          1.68       3.58779
    20           1573.74             1         -1.08       1.19593
    21           1558.05             1         -8.16      0.574542
    22            1555.1             1           141      0.191514
    23           1494.25             1         -7.43      0.328927
    24           1490.36             1        -0.862      0.109642
    25           1489.62             1        -0.112     0.0365474
    26           1489.61             1         0.156     0.0121825
    27           1489.81             1         0.683      0.020169
    28           1489.73             1         0.532     0.0403379
    29           1489.52             1         0.146      0.161352
    30           1489.46             1        0.0422       0.16941
    31           1489.45             1        0.0137      0.174187
    32           1478.57         0.346         -14.1      0.178233
    33           1433.37             1         -7.88      0.178233
    34           1425.55             1         -2.22     0.0594109
    35           1423.93        0.0646         -21.5     0.0198036
    36           3462.15         0.225      5.65e+05     0.0198036
    37           3471.34         0.228      5.54e+05     0.0396072
    38           3478.28         0.433      2.91e+05      0.158429
    39           1420.33             1         -2.33       1.26743
    40           3543.94          0.86      7.68e+04      0.422477
    41           1428.17             1          74.8      0.844954
    42           1418.37             1          -1.1       3.37982
    43            1416.8             1          5.39       1.12661
    44           1423.89             1          21.7       1.07007
    45           1414.46             1           2.3       2.14014
    46           1414.03         0.714          2.85        1.8044
    47           1413.42             1        -0.035        1.8044
    48           1413.02             1        0.0476      0.601467
    49           1412.71             1      -0.00879      0.404997
    50           1412.47             1       -0.0228      0.380547
    51           1412.27             1       -0.0485      0.349239
    52           1412.13             1       -0.0439      0.330172
    53           1412.03             1       -0.0322      0.293932
    54           1411.96             1        -0.024      0.258783
    55           1411.91             1       -0.0177      0.220165
    56           1411.87             1       -0.0133      0.184606
    57           1411.85             1       -0.0101      0.152166
    58           1411.83             1      -0.00792       0.12392
    59           1411.58             1       -0.0992     0.0994765
    60           1411.47        0.0234         -2.24     0.0331588
    61           1983.66         0.642       2.4e+04     0.0331588
    62           2022.56         0.749      2.35e+04     0.0663176
    63           1434.19             1           218      0.265271
    64           1410.76             1        -0.379       2.12216
    65           1409.59             1          0.27      0.707388
    66           1408.64             1          1.33      0.235796
    67           1411.27             1          8.19      0.235796
    68           1406.95             1         0.907      0.471592
    69           1408.06             1          5.48      0.473406
    70            1404.4             1       -0.0377      0.946813
    71           1402.91             1       0.00117      0.920591
    72            1401.4             1        -0.468      0.905583
    73           1399.79             1        -0.658      0.525454
    74           1396.05             1         -1.54      0.309022
    75           1391.87         0.334         -5.38      0.213963
    76           1389.94             1        -0.472      0.213963
    77           1389.81        0.0642        -0.972      0.207082
    78           1388.71         0.752        -0.553      0.207082
    79           1388.07          0.44        -0.651      0.207082
    80           1386.74             1        -0.582      0.207082
    81           1385.33          0.46         -1.45      0.117544
    82           1384.05         0.262         -2.36      0.117544
    83           1377.18             1         -3.33      0.117544
    84           1375.96        0.0141         -43.4     0.0391813
    85           1363.97         0.121         -49.2     0.0391813
    86           1353.39          0.04          -131     0.0391813
    87           1073.79             1         -90.7     0.0391813
    88           1042.29             1          53.9     0.0130604
    89           1042.99        0.0736           108     0.0135672
    90           1045.91         0.142           141     0.0271345
    91           1034.09         0.544          74.3      0.108538
    92           1053.87          0.58          76.7      0.108538
    93           1012.25             1          8.62      0.217076
    94           999.489             1          15.1      0.217482
    95            997.08             1          8.59      0.217621
    96           986.618             1        -0.157       0.28901
    97           983.922             1        -0.422      0.231392
    98           984.127             1         0.827      0.103598
    99           983.585             1       -0.0341      0.207197
   100           983.668             1         0.221      0.133109
   101           983.516             1      -0.00541      0.266218
   102           983.485             1      -0.00729      0.227034
   103           983.471             1      -0.00123      0.125996
   104           983.504             1        0.0833      0.123468
   105           983.464             1       0.00242      0.246936
   106           983.455             1      -0.00276      0.246936
   107           983.448             1      -0.00244      0.144457
   108           983.446             1       0.00688      0.114287
   109           983.468             1          0.05      0.158724
   110           983.441             1       0.00111      0.317447
   111           983.437             1     -0.000998       0.31662
   112           983.432             1      -0.00197       0.10554
   113           983.427             1      -0.00123     0.0495162
   114             983.7             1         0.568     0.0449894
   115           983.467             1        0.0827     0.0899789
   116           983.426             1       0.00012      0.359916
   117           983.425             1     -0.000268      0.359273

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           25351.8
     1           25350.7       2.5e-05     -2.22e+04      0.831165
     2           17639.2          0.15     -3.08e+04      0.831165
     3           17585.1       0.00182     -1.49e+04      0.831165
     4           17542.5       0.00144     -1.48e+04      0.831165
     5           10369.6         0.192     -2.54e+04      0.831165
     6           7371.68         0.147     -1.29e+04      0.831165
     7           5740.34         0.131     -6.78e+03      0.831165
     8           3945.45         0.331      2.28e+03      0.831165
     9           4299.48         0.624      1.55e+04      0.831165
    10              4715          0.65      2.12e+04       1.66233
    11           13268.4          0.81      1.77e+05       6.64932
    12           3336.28             1           624       53.1946
    13           3108.93             1           863       43.5691
    14           2576.46             1         -88.8       44.6787
    15           2465.31             1         -12.9       14.8929
    16            2438.7             1         -11.1        4.9643
    17           2433.86         0.573           137       1.65477
    18           2389.25         0.438         -44.6       1.65477
    19           2370.46             1          2.29       1.65477
    20            2367.8             1        -0.579      0.551589
    21           2366.24         0.232         -3.02      0.371834
    22           2362.69             1         -1.24      0.371834
    23           2368.54         0.529          95.8      0.123945
    24           2340.49         0.136         -97.6       0.24789
    25           2309.59         0.169          -104       0.24789
    26           2081.89         0.369     -2.16e+03       0.24789
    27           1854.53         0.708           612       0.24789
    28           1945.24         0.129       8.6e+03       0.24789
    29           1939.93         0.159      6.81e+03      0.495779
    30           1912.01         0.329      3.34e+03       1.98312
    31           1655.26             1         -51.9       15.8649
    32           1760.81         0.584      1.21e+03       5.28831
    33           1774.01         0.937           835       10.5766
    34           1611.79             1         -18.8       42.3065
    35           1615.68             1           156       14.1022
    36           1541.73             1          56.9       28.2043
    37           1486.63             1          -5.5       27.0685
    38           1475.86             1         -2.71       9.02283
    39           1469.07             1         -1.73       3.00761
    40            1439.7         0.386         -43.3       1.00254
    41           1438.35        0.0104         -65.3       1.00254
    42           1435.62             1            14       1.00254
    43           1433.98         0.054         -15.2      0.998471
    44            1426.4             1       -0.0494      0.998471
    45           1425.68             1       -0.0753      0.332824
    46           1946.22         0.322      2.34e+04      0.110941
    47           1950.16         0.623      1.21e+04      0.221882
    48           1424.69             1        -0.271       0.88753
    49           1979.18          0.47      1.06e+04      0.295843
    50            1990.1         0.903      5.59e+03      0.591687
    51           1423.34             1        -0.584       2.36675
    52           2024.57         0.809      5.03e+03      0.788915
    53           1435.02             1          44.1       1.57783
    54            1422.2             1        -0.551       6.31132
    55           1432.28             1          38.3       2.10377
    56           1420.46             1        -0.197       4.20755
    57           2121.23         0.897      3.58e+03       1.40252
    58           1439.15             1          58.4       2.80503
    59           1418.22             1        -0.958       11.2201
    60           1423.71             1          23.2       3.74004
    61           1415.63             1        -0.533       7.48009
    62           1419.57             1          18.8       3.76408
    63           1412.09             1        -0.967       7.52815
    64           1408.96             1          1.94       4.86563
    65           1403.89             1         0.472       4.86562
    66           1398.32             1         -0.86       4.85189
    67           1393.19         0.911         -1.62       4.66155
    68           1390.57             1        -0.648       4.66155
    69           1389.09             1        -0.457        3.7935
    70           1388.12             1        -0.315       2.90486
    71           1387.41             1        -0.252       2.33136
    72           1386.84             1        -0.211       1.79012
    73           1386.34             1        -0.196       1.37201
    74           1385.84             1        -0.205       1.01034
    75            1385.7         0.191        -0.337      0.706188
    76           1385.34             1        -0.128      0.706188
    77           1385.11             1       -0.0835      0.507379
    78           1384.96             1       -0.0547      0.418283
    79           1384.85             1       -0.0392      0.349992
    80           1384.78             1       -0.0296      0.289358
    81           1384.72             1        -0.023       0.23534
    82           1384.67             1       -0.0173      0.189066
    83           1384.64             1       -0.0133       0.14453
    84           1384.62             1       -0.0103      0.106388
    85            1384.6             1       -0.0101     0.0657943
    86           1384.57             1       -0.0136     0.0348202
    87           1384.49             1       -0.0482      0.013293
    88           1384.13         0.393         0.815      0.004431
    89           1384.82        0.0819           122      0.004431
    90           1384.85         0.155          66.7      0.008862
    91           4156.01         0.577      3.09e+05      0.035448
    92           1383.51             1        -0.208      0.283584
    93           1392.62             1          52.3      0.094528
    94           1383.38             1         0.991      0.189056
    95           1382.73             1        -0.172      0.201868
    96           1382.15           0.5         0.162     0.0672895
    97           1381.42             1       -0.0123     0.0672895
    98            1381.4             1       0.00652     0.0224298
    99            1381.4             1         0.011     0.0220116
   100            1381.4             1        0.0227     0.0294907
   101            1381.4             1        0.0154     0.0589813
   102           1377.88             1          -1.2      0.113949
   103           1376.16             1        -0.247      0.037983
   104           1376.05             1        0.0749      0.012661
   105           1376.16             1         0.238     0.0124335
   106           1376.13             1         0.199      0.024867
   107           1376.04             1        0.0786     0.0994681
   108           1376.02             1        0.0475      0.150227
   109              1376             1         0.016      0.170548
   110              1376             1       0.00517      0.181138
   111              1376             1       0.00137      0.187912
   112              1376             1      0.000296      0.191231
   113              1376             1      3.68e-06      0.191419
   114              1376             1     -7.45e-05       0.18918
   115              1376             1     -0.000123      0.140997
   116              1376             1     -0.000365     0.0482477
   117           1375.99             1     -0.000972     0.0160826
   118           1375.99             1      -0.00211    0.00536086
   119           1375.98             1      -0.00189    0.00315094
   120           1375.98             1     -0.000217    0.00238391
   121           1375.98             1       0.00507    0.00236053
   122           1375.98             1       0.00546    0.00472107
   123           1375.98             1       0.00485     0.0188843
   124           1375.98             1       0.00112      0.151074
   125           1375.98             1       0.00043      0.165604

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.
Warning: LSQLIN did not converge. Infeasible network contraints.
> In mylsqlin
In multistart
In multistart
In estimate
In inca_script (line 160)

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            594030
     1            709625       0.00159     -6.15e+05    3.7486e+06

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            335014
     1            332832       0.00333     -3.27e+05       16.0286
     2            332759      0.000112     -3.27e+05       16.0286
     3            332472      0.000439     -3.26e+05       16.0286
     4            332240      0.000355     -3.26e+05       16.0286
     5            331997      0.000373     -3.26e+05       16.0286
     6            331274       0.00111     -3.25e+05       16.0286
     7            331217       8.8e-05     -3.25e+05       16.0286
     8            330564         0.001     -3.25e+05       16.0286
     9            325150       0.00841     -3.19e+05       16.0286
    10            204271          0.22     -2.47e+05       16.0286
    11            169914        0.0937     -1.71e+05       16.0286
    12            115101         0.183     -1.38e+05       16.0286
    13             40310         0.302     -1.37e+05       16.0286
    14           26894.6         0.171     -4.18e+04       16.0286
    15           13539.5         0.255     -2.82e+04       16.0286
    16           3138.58         0.674      1.49e+04       16.0286
    17           2604.62             1      4.91e+03       16.0286
    18           2450.96             1      3.61e+03        16.699
    19           1480.04             1         -28.1       23.4731
    20           1405.29             1         -13.4       10.2815
    21           1393.21         0.371         -16.7       3.42718
    22           2039.28         0.904      1.61e+04       3.42718
    23           1387.33             1          45.4       6.85436
    24           1381.26         0.492         -4.38        6.4865
    25           1378.25             1         -0.52        6.4865
    26            1377.5             1        -0.281       2.16217
    27           1376.56             1        -0.401      0.720722
    28           1375.78             1        -0.324      0.428194
    29           1375.06             1        -0.296      0.323129
    30           1374.28             1        -0.329        0.2422
    31           1374.26        0.0165         -0.62      0.175934
    32           1373.42             1        -0.363      0.175934
    33           1372.89         0.357        -0.701      0.121539
    34           1371.22             1        -0.778      0.121539
    35           1363.86             1          -3.6     0.0585602
    36            1302.8         0.414         -70.6     0.0195201
    37           1267.14        0.0612          -283     0.0195201
    38           975.059             1         -11.6     0.0195201
    39           988.399             1          16.5    0.00650669
    40            979.76             1          6.32     0.0130134
    41           974.531             1         0.328     0.0520535
    42           974.089             1        -0.034     0.0542122
    43           974.052             1       -0.0126     0.0180707
    44            974.04             1      -0.00489     0.0168048
    45            974.03             1      -0.00437     0.0101944
    46           974.021             1      -0.00369     0.0065016

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            358338
     1            358236      0.000146     -3.51e+05      0.308288
     2            357996      0.000342     -3.51e+05      0.308288
     3            357969      3.77e-05     -3.51e+05      0.308288
     4            357895      0.000106     -3.51e+05      0.308288
     5            357816      0.000112     -3.51e+05      0.308288
     6            357576      0.000342     -3.51e+05      0.308288
     7            356995      0.000828     -3.51e+05      0.308288
     8            155123         0.212      -6.3e+05      0.308288
     9            138313         0.054     -1.54e+05      0.308288
    10            135679       0.00896     -1.63e+05      0.308288
    11            127368        0.0319     -1.29e+05      0.308288
    12            119027        0.0368     -1.05e+05      0.308288
    13            107196        0.0546     -1.04e+05      0.308288
    14            102771        0.0382      1.67e+07      0.308288
    15           94267.1        0.0371     -1.35e+05      0.308288
    16           68128.8        0.0982      -1.7e+05      0.308288
    17           61000.7        0.0506     -7.65e+04      0.308288
    18             50573        0.0885     -6.19e+04      0.308288
    19           18365.3           0.3     -5.79e+04      0.308288
    20           5024.17         0.431     -6.02e+03      0.308288
    21           4639.92         0.768      1.67e+03      0.308288
    22           4629.27         0.017          -315      0.308288
    23           4454.23         0.444      1.83e+03      0.308288
    24           4357.06             1         -2.88      0.308288
    25           4212.93          0.25          77.8      0.102763
    26           3729.96         0.741           394      0.102763
    27           2268.94             1          -127      0.102763
    28           2010.93         0.676      4.51e+03     0.0718299
    29           1902.21             1          26.9     0.0718299
    30           1794.86         0.337          -128     0.0323541
    31           1789.69             1          -0.3     0.0323541
    32           1774.64             1         -2.42     0.0107847
    33            1842.6             1          69.8     0.0035949
    34           1762.73         0.141          -7.9     0.0071898
    35           1773.29             1            11     0.0071898
    36           1798.83         0.905           255     0.0143796
    37           1796.18         0.881           267     0.0575184
    38           1794.51         0.908           261      0.460147
    39           1717.29             1           101       3.68118
    40           1628.94             1         -12.9       4.19485
    41           1616.13         0.521         -8.69       3.05733
    42           1606.22             1         -2.87       3.05733
    43           1601.78             1         -1.39       1.85667
    44           1599.86             1        -0.623       1.52385
    45           1599.09             1        -0.248       1.24398
    46           1598.81             1       -0.0919       1.01128
    47           1598.68             1       -0.0527      0.784252
    48           1598.59        0.0293          -1.4      0.497249
    49           1598.46             1       -0.0617      0.497249
    50           1598.19             1        -0.166      0.226352
    51           1597.77       0.00855         -24.6     0.0754508
    52            1542.7         0.622      1.98e+03     0.0754508
    53           1505.56             1         0.276     0.0754508
    54           1498.09             1         -1.25     0.0494925
    55           1484.89         0.172         -22.4      0.039131
    56           1472.87         0.799          19.4      0.039131
    57              2190         0.257      2.95e+04      0.039131
    58           2183.49          0.27       3.2e+04      0.078262
    59           2143.74         0.497      1.93e+04      0.313048
    60           1443.31             1         -2.58       2.50438
    61           2017.27         0.799      7.75e+03      0.834794
    62           1448.05             1            37       1.66959
    63           1441.38             1        -0.821       6.67835
    64           1441.29             1          14.4       2.22612
    65           1433.77         0.273           -12       4.18474
    66           1425.61             1          1.21       4.18474
    67           1424.85             1       -0.0481       1.89735
    68           1421.12         0.315         -5.37        1.0891
    69           1416.62         0.631         -3.47        1.0891
    70           1410.83         0.868         -2.71        1.0891
    71           1409.66             1          0.14        1.0891
    72           1416.13         0.966          29.9       1.08331
    73           1407.56             1          1.43       2.16662
    74           1405.66             1         0.617       1.95143
    75           1404.91         0.221          -1.4       1.88026
    76           1402.95             1        -0.235       1.88026
    77           1413.82             1            44      0.671101
    78           1401.46             1         0.141        1.3422
    79           1400.19             1        0.0706       1.24819
    80           1395.67         0.765         0.101       1.15315
    81           1394.19             1         0.999       1.15315
    82           1393.34             1         0.557       1.15307
    83           1392.58             1         0.166       1.15396
    84           1391.98             1       -0.0521       1.15206
    85           1391.54             1        -0.133       1.08059
    86           1391.13             1        -0.159      0.660187
    87           1390.53             1        -0.261      0.446373
    88           1390.45        0.0131         -3.31      0.237363
    89           1445.47             1          83.9      0.237363
    90           1408.43             1          30.7      0.474726
    91           1389.92             1         0.939       1.89891
    92           1388.81             1        -0.107       1.93387
    93           1387.83             1        -0.191       1.89891
    94           1386.96             1        -0.231       1.79949
    95           1386.17             1         -0.25       1.62228
    96           1385.42             1        -0.264         1.389
    97           1384.67             1        -0.281       1.13713
    98            1383.9             1        -0.305      0.899945
    99           1383.08         0.947        -0.361      0.689209
   100           1382.25             1         -0.37      0.689209
   101           1380.61             1        -0.756      0.358149
   102           1375.65             1         -2.41      0.181085
   103           1328.59             1         -22.8     0.0603615
   104           1327.64       0.00161          -296     0.0201205
   105           1273.15        0.0957          -272     0.0201205
   106           1001.25           0.8         -64.1     0.0201205
   107           985.946             1         0.659     0.0201205
   108           1448.58             1      2.16e+03     0.0158486
   109           1001.08             1          44.7     0.0316973
   110           985.147             1          0.34      0.126789
   111           989.467         0.951          7.55     0.0930196
   112           985.487             1          0.68      0.186039
   113            984.99             1       -0.0249      0.744157
   114           984.983             1        0.0154      0.248052
   115           984.963             1      -0.00357      0.270957
   116           984.947        0.0324        -0.249     0.0903191
   117           984.916         0.062        -0.248     0.0903191
   118           984.431             1        -0.238     0.0903191
   119           981.164             1         -1.47     0.0301064
   120           976.887         0.393         -4.35     0.0100355
   121           975.913         0.802          3.74     0.0100355
   122           1422.44         0.558      1.37e+03     0.0100355
   123           1422.83         0.836           916     0.0200709
   124           993.232             1          28.4     0.0802836
   125           974.099             1        -0.194      0.642269
   126           974.078             1        0.0277       0.21409
   127           974.044             1     -0.000474      0.216477
   128           974.053             1        0.0194      0.157019
   129           974.042             1      0.000682      0.314039
   130           974.041             1     -0.000103      0.313644
   131            974.04             1     -0.000227      0.104548
   132            974.04             1      0.000316     0.0447272
   133            974.17             1         0.236     0.0449649
   134           974.053             1         0.024     0.0899299
   135           974.039             1     -4.43e-05      0.359719

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            631560
     1            631297       0.00021     -6.25e+05       8.88305
     2            631271      2.04e-05     -6.25e+05       8.88305
     3            631131      0.000113     -6.24e+05       8.88305
     4            630844      0.000229     -6.24e+05       8.88305
     5            367321         0.237     -4.87e+05       8.88305
     6            363252       0.00564      -3.6e+05       8.88305
     7            315166        0.0698      -3.3e+05       8.88305
     8            315061      0.000168      -3.1e+05       8.88305
     9            123246         0.404     -1.65e+05       8.88305
    10           11439.9         0.708     -3.24e+04       8.88305
    11           4111.95          0.86      5.24e+03       8.88305
    12           2736.89         0.362     -1.44e+03       8.88305
    13           2603.61        0.0716          -877       8.88305
    14           2192.69         0.307          -511       8.88305
    15           1796.87         0.851           -89       8.88305
    16            1794.8        0.0274         -37.1       8.88305
    17           1756.63             1         -6.99       8.88305
    18           1750.15         0.823          -2.5       2.96102
    19            1745.9             1         -1.69       2.96102
    20           1691.62         0.987            28      0.987006
    21           1664.73         0.342         -29.6      0.987006
    22           1609.31             1         -21.6      0.987006
    23           1574.74         0.151          -110      0.508591
    24           1341.89             1         -72.8      0.508591
    25           1294.66         0.482         -33.4       0.16953
    26           1275.73             1        -0.383       0.16953
    27           1275.22             1       -0.0913     0.0565101
    28           1262.44         0.157         -19.8     0.0188367
    29           1261.55        0.0711         -5.86     0.0188367
    30            1261.4        0.0131         -5.64     0.0188367
    31           1259.22         0.239          -3.6     0.0188367
    32           1256.54             1         0.376     0.0188367
    33           1255.57             1        -0.116     0.0153304
    34           1255.52             1      -0.00954    0.00511015
    35           9388.03         0.293      7.34e+05    0.00170338
    36           9388.44         0.376      5.73e+05    0.00340677
    37           9390.85         0.876      2.46e+05     0.0136271
    38            1255.1             1         0.174      0.109016
    39           1255.21             1           2.7      0.129437
    40           1254.55             1         0.589      0.258874
    41           1251.76             1         -1.14      0.258455
    42           1249.03         0.178         0.315     0.0861517
    43           1254.73         0.119           130     0.0861517
    44           1255.17         0.226          79.4      0.172303
    45            1277.4             1           112      0.689214
    46           1245.31             1         -1.17       5.51371
    47           1242.36             1          3.28        1.8379
    48           1238.97             1         0.892       1.83613
    49           1236.39             1        -0.384       1.83519
    50           1235.04             1         -0.35       1.78565
    51            1234.5             1        -0.172       1.49248
    52           1234.18             1        -0.113       1.29493
    53           1233.97             1       -0.0854       1.06847
    54           1233.78             1       -0.0738      0.839867
    55           1233.61             1       -0.0718      0.620449
    56           1233.41             1       -0.0926      0.426334
    57           1232.92             1        -0.229      0.243739
    58           1229.39             1          -1.6     0.0829713
    59           1220.73             1         0.983     0.0276571
    60           1225.24         0.357          18.7    0.00921904
    61           1225.74         0.417          17.6     0.0184381
    62           1230.62         0.821          16.5     0.0737523
    63           1028.74             1         -32.9      0.590018
    64           1013.22         0.818         -4.31      0.196673
    65           1012.94        0.0678         -2.01      0.196673
    66           1010.75             1        -0.418      0.196673
    67           1010.57             1       -0.0362     0.0655576
    68           1006.79        0.0663         -40.8     0.0218525
    69            1006.5       0.00727         -20.9     0.0218525
    70            1012.4         0.454           266     0.0218525
    71           1168.02         0.466      1.47e+03     0.0437051
    72           1054.81          0.48           697       0.17482
    73           1621.87          0.66      1.61e+04       1.39856
    74           1456.72             1      6.19e+03       11.1885
    75           999.909             1          7.62        89.508
    76           997.574             1        -0.385        29.836
    77           996.565             1        -0.394       9.94533
    78            995.77             1        0.0562       3.31511
    79           995.141             1        -0.189       2.28472
    80           994.712             1        -0.149      0.761573
    81            994.45             1        -0.108      0.610623
    82           994.065             1        -0.135      0.368021
    83           993.665             1        -0.127      0.329723
    84           993.395             1         0.058      0.319089
    85           993.441             1         0.537      0.318276
    86           993.223             1       -0.0477      0.636552
    87           993.197             1         0.162      0.432763
    88           993.053             1      -0.00993      0.575782
    89            993.01             1        0.0517      0.517933
    90           992.944             1        0.0184      0.525169
    91           992.893             1       0.00899      0.524049
    92           992.852             1       0.00204      0.520191
    93            992.82             1     -0.000583       0.50827
    94           992.796             1      -0.00188      0.489513
    95           992.775             1       -0.0023      0.463328
    96           992.759             1      -0.00245      0.432267
    97           992.744             1      -0.00242       0.39777
    98           992.731             1      -0.00234      0.362342
    99           992.719             1      -0.00223      0.327256
   100           992.709             1      -0.00211       0.29379
   101           992.699             1      -0.00199      0.262393
   102            992.69             1      -0.00187      0.233435
   103           992.682             1      -0.00176      0.206903
   104           992.675             1      -0.00165      0.182767
   105           992.668             1      -0.00155      0.160851
   106           992.662             1      -0.00146      0.140995
   107           992.657             1      -0.00138      0.122996
   108           992.651             1      -0.00131       0.10668
   109           992.647             1      -0.00121     0.0918453
   110           992.643             1     -0.000954     0.0784566
   111            992.64             1      -0.00087     0.0668221
   112           992.637             1     -0.000808     0.0554361
   113           992.634             1     -0.000808     0.0450854
   114           992.631             1     -0.000819     0.0351474
   115           992.629             1     -0.000883     0.0263472
   116           992.626             1     -0.000896     0.0184234
   117           992.623             1      -0.00103     0.0132437
   118           992.621         0.705      -0.00135    0.00876164
   119           992.619             1      -0.00109    0.00876164
   120           992.611             1      -0.00371    0.00292055
   121           992.543             1       -0.0335   0.000973515
   122           983.222             1         -4.81   0.000324505
   123           977.997        0.0181          -148   0.000108168
   124           976.262       0.00602          -145   0.000108168
   125           974.243         0.605         -1.26   0.000108168
   126           973.985             1      -0.00716   0.000108168
   127           973.977             1      1.18e-05   3.60561e-05
   128           973.975             1     -0.000257   1.93588e-05
   129           973.974             1     -0.000233   1.63796e-05
   130           973.974             1     -0.000261   1.21246e-05

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            631840
     1            631674      0.000134     -6.21e+05       6.18781
     2            631656      1.39e-05     -6.21e+05       6.18781
     3            631605      4.16e-05     -6.21e+05       6.18781
     4            631420      0.000149     -6.21e+05       6.18781
     5            631254      0.000134     -6.21e+05       6.18781
     6            630537      0.000577     -6.22e+05       6.18781
     7            630192      0.000279      -6.2e+05       6.18781
     8            452791         0.109     -1.02e+06       6.18781
     9            261805         0.145     -9.05e+05       6.18781
    10            243938        0.0325     -2.98e+05       6.18781
    11            220019        0.0451     -2.97e+05       6.18781
    12             83196         0.248     -3.45e+05       6.18781
    13           36317.2         0.272     -9.01e+04       6.18781
    14           6182.48         0.498     -1.51e+04       6.18781
    15            3408.2         0.751      2.63e+03       6.18781
    16           2916.46         0.726      1.24e+03       6.18781
    17           3019.48             1      2.47e+03       6.18781
    18           2549.94             1          15.4       12.3756
    19           2510.19         0.923         -10.4       4.12521
    20           2501.21             1         -2.82       4.12521
    21            2496.6             1         -1.72       3.60022
    22           2493.26             1         -1.34       2.85961
    23            2464.6         0.725          38.6       2.11932
    24           2438.37             1         -4.28       2.11932
    25           2433.91             1        -0.962       1.13977
    26           2432.28         0.885        -0.569       0.44317
    27           2431.57             1        -0.227       0.44317
    28           2431.18             1       -0.0199      0.393579
    29           2431.01         0.583        0.0528      0.374984
    30           2430.69             1       -0.0762      0.374984
    31           2430.22             1         0.611      0.164786
    32           2429.75             1          0.33      0.167149
    33           2429.83             1         0.935      0.167519
    34           2429.65             1         0.575      0.335038
    35           2429.46             1           0.3      0.463688
    36           2429.32             1         0.148      0.530082
    37           2429.23             1        0.0415      0.541254
    38           2429.16             1       0.00305      0.542946
    39            2429.1             1       -0.0156      0.536074
    40           2429.03             1       -0.0274       0.46488
    41           2428.88             1       -0.0661      0.212043
    42           2428.46             1        -0.178     0.0851258
    43           2590.52         0.416      5.87e+03     0.0306839
    44           2592.68         0.819      2.97e+03     0.0613677
    45           2428.05             1        -0.201      0.245471
    46            2612.7         0.599      3.17e+03     0.0818236
    47           2441.58             1          73.3      0.163647
    48           2427.52             1        -0.285      0.654589
    49           2482.03             1           274      0.218196
    50           2426.56             1         0.782      0.436393
    51            2462.3             1          64.5      0.392715
    52            2430.4             1          8.68       0.78543
    53           2425.42             1        -0.146       3.14172
    54           2424.64             1        -0.217        2.1185
    55           2423.86             1        -0.144       1.64616
    56           2423.07             1        -0.192       1.46332
    57           2422.34         0.914        -0.292       1.21893
    58           2421.99             1        -0.129       1.21893
    59           2421.92         0.169        -0.216      0.544637
    60           2421.56             1        -0.149      0.544637
    61           2421.03             1        -0.232      0.241101
    62           2420.23             1        -0.339       0.12223
    63           2420.01         0.126        -0.829     0.0717552
    64           2418.44             1        -0.708     0.0717552
    65           2410.67             1         -3.74     0.0269969
    66           2407.77        0.0137          -106     0.0107462
    67           2405.11       0.00897          -149     0.0107462
    68           2403.82       0.00365          -176     0.0107462
    69           2290.03         0.324          -161     0.0107462
    70           2024.75             1         -4.27     0.0107462
    71           2133.44             1          95.7    0.00358208
    72           2031.88             1          7.78    0.00716415
    73           2019.17             1        -0.921     0.0286566
    74           2018.61             1       -0.0891     0.0250313
    75           2018.46             1       -0.0245     0.0094412
    76           2018.42             1       -0.0117      0.009555
    77            2018.4             1      -0.00653    0.00532068
    78            2018.4             1      -0.00353    0.00399891
    79           2018.39             1      -0.00112    0.00175135
    80           2018.37             1      -0.00276    0.00139893
    81           2018.36             1      -0.00126    0.00140926
    82           2018.36         0.503     -0.000593   0.000697344
    83           2018.35         0.718      -0.00658   0.000697344
    84           2018.35             1     -0.000765   0.000697344
    85           2018.35             1       -0.0011   0.000485581
    86           2018.34             1     -0.000814   0.000285172
    87           2018.34             1      -0.00109   0.000190467
    88           2018.34             1        0.0016   0.000172334
    89           2018.34         0.398      -0.00227   0.000344669
    90           2018.34             1     -0.000289   0.000344669
    91           2018.33        0.0599       -0.0225    0.00011489
    92           2018.33             1     -0.000202    0.00011489
    93           2018.33             1     -0.000557   5.25915e-05
    94           2018.33             1     -0.000503   2.40698e-05
    95           2018.33             1      1.09e-05   8.02327e-06
    96           2018.33         0.371     -0.000143   8.46151e-06
    97           2018.33             1       -0.0005   8.46151e-06
    98           2018.33             1     -0.000217   4.42065e-06
    99           2018.33             1     -0.000819   4.20677e-06
   100           2018.33             1     -0.000467   1.40226e-06
   101           2100.09         0.634      8.32e+05   4.67419e-07
   102           2018.33        0.0137       -0.0247   9.34838e-07
   103           2018.33             1     -8.57e-05   9.34838e-07
   104           2018.33        0.0735     -9.61e-05    9.2571e-07
   105           2018.32             1     -0.000641    9.2571e-07
   106           2018.32             1      4.34e-05    3.0857e-07
   107           2018.32             1     -0.000115   3.10057e-07
   108           2018.32             1     -4.59e-05   3.13309e-07
   109           2018.32             1      -0.00014   1.04436e-07
   110           2018.32         0.734       0.00011   3.48121e-08
   111           2018.32             1       0.00023   3.48121e-08
   112           2018.32             1       0.00015   6.96241e-08
   113           2018.34             1         0.306   2.78496e-07
   114           2018.32             1     -3.68e-05   2.22797e-06
   115           2018.32             1      9.34e-05   8.65871e-07
   116           2018.32             1       0.00113   8.81553e-07
   117           2019.51             1          7.25   1.76311e-06
   118           2018.79             1          5.59   7.05242e-06
   119           2016.78             1         0.659   5.64194e-05
   120            2015.9             1         0.109     5.612e-05
   121            2015.9       0.00164         -1.67   2.33678e-05
   122           2057.67             1           149   2.33678e-05
   123           2050.48             1           123   4.67355e-05
   124           2027.86             1          46.3   0.000186942
   125           2014.22             1        -0.377    0.00149554
   126           2091.71         0.431           692   0.000498512
   127           2091.53         0.433           688   0.000997024
   128           2090.45         0.446           663     0.0039881
   129           2080.51         0.568           481     0.0319048
   130           1995.29             1           -11      0.255238
   131           1951.53         0.107          -283     0.0850794
   132           1939.46         0.151         -39.5     0.0850794
   133           1895.52         0.575           -43     0.0850794
   134           1644.98             1          -272     0.0850794
   135           1703.57         0.187      5.17e+03     0.0283598
   136           1694.59         0.204      4.74e+03     0.0567196
   137           1642.75         0.303      3.15e+03      0.226878
   138           1304.85             1          44.5      0.226878
   139           1276.67             1       -0.0221     0.0756262
   140           1270.83         0.792         -1.23     0.0680887
   141           1268.55             1        -0.376     0.0680887
   142           1267.79             1        -0.159      0.062725
   143           1267.59             1       -0.0467     0.0501443
   144           1267.54             1       -0.0125     0.0353719
   145           1267.53             1      -0.00464     0.0293259
   146           1267.52             1       -0.0023     0.0249134
   147           1267.52             1       -0.0015     0.0214674
   148           1267.16             1        -0.335     0.0175925
   149            1287.1         0.756      3.63e+03    0.00586416
   150           1287.14         0.761       3.6e+03     0.0117283
   151           1287.15         0.768      3.57e+03     0.0469132
   152           1287.14         0.804      3.41e+03      0.375306
   153           1247.46             1         -62.8       3.00245
   154            1259.2         0.426           380       1.00082
   155           1259.12         0.427           376       2.00163
   156           1258.84         0.434           363       8.00653
   157           1258.41         0.449           342       64.0522
   158           1258.11         0.483           313       512.418
   159           1259.06         0.651           234       4099.34

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           32002.6
     1           32001.2      2.18e-05     -3.06e+04      0.693302
     2           26686.8        0.0945     -2.68e+04      0.693302
     3           7012.48          0.53     -1.27e+04      0.693302
     4           6561.71        0.0432     -4.97e+03      0.693302
     5           6131.83        0.0446      -4.7e+03      0.693302
     6           4380.24           0.2     -4.27e+03      0.693302
     7           3393.23         0.197     -2.32e+03      0.693302
     8           3139.71        0.0718     -1.67e+03      0.693302
     9           2105.13         0.367     -1.07e+03      0.693302
    10           1704.73          0.78           334      0.693302
    11           1511.73         0.906           -25      0.693302
    12           1479.57             1         -2.14      0.693302
    13           1477.08             1        -0.919      0.231101
    14            1470.2             1         -2.85      0.177209
    15           1469.88       0.00578         -28.2     0.0650087
    16           1468.21        0.0301         -27.3     0.0650087
    17           1466.39         0.028         -32.4     0.0650087
    18           1391.71             1         -35.2     0.0650087
    19            1081.8             1         -20.8     0.0216696
    20            1081.1        0.0399         -7.94    0.00722319
    21           1078.16             1        0.0134    0.00722319
    22           1076.45             1        -0.534    0.00722385
    23           1074.72        0.0886         -9.38    0.00240795
    24           1073.94             1        -0.205    0.00240795
    25           1042.48         0.246         -50.7    0.00080265
    26           1014.02         0.418         -14.3    0.00080265
    27           1007.67             1       -0.0952    0.00080265
    28           1007.43             1       -0.0138    0.00026755
    29           2137.66          0.82      1.19e+04   8.91833e-05
    30           2137.66          0.82      1.19e+04   0.000178367
    31           2137.71          0.82      1.19e+04   0.000713467
    32           2138.18         0.822      1.19e+04    0.00570773
    33           2141.95         0.838      1.17e+04     0.0456619
    34           2172.35         0.968      1.03e+04      0.365295
    35           1003.53             1          19.4       2.92236
    36           992.015             1         -1.73       3.30182
    37           997.073             1          15.3       1.25471
    38           989.814             1         0.183       2.50943
    39           988.215             1        -0.415       2.37446
    40           987.561             1         0.135       1.72266
    41           986.768             1        -0.193       1.72193
    42           986.343             1       -0.0907       1.44801
    43           986.027             1       -0.0938       1.35111
    44           985.819             1       -0.0641        1.1328
    45           985.667             1       -0.0514      0.980364
    46           985.554             1       -0.0394      0.813078
    47           985.469             1        -0.031      0.672976
    48           985.403             1       -0.0245      0.549281
    49           985.351             1       -0.0195      0.445594
    50            985.31             1       -0.0155      0.359463
    51           985.278             1       -0.0124      0.288913
    52           985.252             1      -0.00985      0.231575
    53           985.232             1      -0.00785      0.185251
    54           985.216             1      -0.00626      0.147976
    55           985.204             1      -0.00499      0.118072
    56           985.193             1      -0.00397     0.0941331
    57           985.185             1      -0.00316     0.0749994
    58           985.181             1      -0.00189     0.0597251
    59           985.177             1      -0.00163     0.0375189
    60           985.174             1      -0.00139     0.0238022
    61           985.171             1      -0.00119     0.0150543
    62           985.169             1      -0.00102    0.00952159
    63           985.167             1     -0.000877    0.00602143
    64           985.165             1     -0.000753     0.0038077
    65           985.163             1     -0.000646    0.00240762
    66           985.162             1     -0.000555     0.0015222
    67           985.161             1     -0.000476   0.000962258
    68            985.16             1     -0.000409    0.00060815

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0             54072
     1             54025      0.000455     -5.17e+04       1.34207
     2           53984.8      0.000389     -5.17e+04       1.34207
     3             53974      0.000105     -5.16e+04       1.34207
     4           53908.5      0.000634     -5.17e+04       1.34207
     5           52698.2        0.0115     -5.35e+04       1.34207
     6           48259.2        0.0418     -5.55e+04       1.34207
     7           27157.9         0.227     -3.95e+04       1.34207
     8           27157.2      1.36e-05     -2.49e+04       1.34207
     9           25164.5        0.0403     -2.47e+04       1.34207
    10           25163.8      1.55e-05     -2.29e+04       1.34207
    11           24591.3        0.0125     -2.27e+04       1.34207
    12           23185.5        0.0317      -2.2e+04       1.34207
    13           20012.9        0.0601     -3.32e+04       1.34207
    14           20004.4      0.000239     -1.78e+04       1.34207
    15           14961.4          0.11     -2.89e+04       1.34207
    16           4892.54         0.302     -1.74e+04       1.34207
    17           3096.33         0.753      1.33e+04       1.34207
    18           2032.71         0.606          -383       1.34207
    19           1495.59             1         -52.3       1.34207
    20           1468.16             1          37.9      0.646272
    21           1455.39             1         -1.65      0.541077
    22           1450.55             1         -1.79      0.300426
    23            1449.5        0.0245         -20.7      0.185382
    24           1441.67         0.208         -16.5      0.185382
    25           1438.71         0.047         -30.6      0.185382
    26           1395.84          0.65           -31      0.185382
    27           1376.86        0.0617          -151      0.185382
    28           1324.59         0.143          -174      0.185382
    29           1066.93             1         -42.2      0.185382
    30           1094.94         0.237           240     0.0617939
    31           1092.79         0.298           183      0.123588
    32           1074.74         0.668          51.3      0.494352
    33           1049.81             1          -3.8       3.95481
    34           1050.23             1          11.1       1.63681
    35           1044.32             1        -0.389       3.27362
    36           1040.66             1          1.03       3.22092
    37           1036.24         0.876        -0.621         3.257
    38           1032.76             1        -0.797         3.257
    39           1031.09             1        -0.492        3.1483
    40           1030.28             1        -0.281        2.7896
    41           1029.77             1        -0.188        2.4337
    42           1029.41             1         -0.14       2.05027
    43           1029.12             1        -0.111       1.67054
    44            1028.9             1       -0.0908       1.32652
    45            1028.7             1       -0.0763       1.03482
    46           1028.54             1        -0.065      0.796772
    47            1028.4             1        -0.056      0.606334
    48           1028.27             1       -0.0539      0.455568
    49           1028.13             1        -0.056      0.327811
    50           1027.98             1        -0.055      0.232164
    51           1027.85             1       -0.0429      0.180177
    52           1016.32        0.0767      1.01e+08      0.160276
    53           1011.52         0.157         -14.1      0.160276
    54           1336.95             1      2.08e+03      0.160276
    55           1002.13             1          6.61      0.320551
    56           999.819             1        -0.128      0.254512
    57           999.156             1       -0.0469      0.202132
    58           999.042             1       -0.0243     0.0906474
    59           1040.56         0.963            96     0.0906511
    60            989.79         0.589          -2.4      0.181302
    61           985.414             1         -0.66      0.181302
    62           984.925             1       -0.0883      0.060434
    63           1087.51         0.769           408     0.0201447
    64           1001.22             1          41.8     0.0402894
    65           984.918             1        0.0749      0.161157
    66           984.805             1       -0.0395      0.218816
    67           984.768          0.11        -0.101     0.0729388
    68           1058.25             1           187     0.0729388
    69           987.789             1           6.5      0.145878
    70           984.737             1      0.000609       0.58351
    71           984.734        0.0922       -0.0136      0.505053
    72           984.727             1       0.00981      0.505053
    73           984.713             1       0.00103      0.514581
    74           984.703             1      0.000955      0.501174
    75           984.695             1     -4.27e-05      0.493137
    76           984.689             1     -0.000243      0.474537
    77           984.683             1     -0.000462      0.453263
    78           984.678             1     -0.000509      0.425805
    79           984.674             1     -0.000568      0.396819
    80           984.669             1     -0.000571      0.365538
    81           984.665             1     -0.000589      0.334887
    82           984.662             1     -0.000557      0.304408
    83           984.658             1     -0.000567      0.276609
    84           984.655             1     -0.000546        0.2493
    85           984.652             1      -0.00056      0.224319
    86           984.648             1     -0.000571      0.200007
    87           984.645             1     -0.000596      0.177031
    88           984.642             1     -0.000606      0.154986
    89           984.639             1     -0.000649      0.134904
    90           984.636             1     -0.000669      0.115505
    91           984.633             1     -0.000734      0.098067
    92            984.63             1     -0.000773     0.0811706
    93           984.627             1     -0.000837     0.0662928
    94           984.624             1      -0.00094     0.0529849
    95           984.621             1      -0.00104     0.0406571
    96           984.617             1      -0.00115     0.0302536
    97           984.614             1      -0.00135     0.0219282
    98           984.609             1      -0.00153     0.0146496
    99           984.605             1      -0.00177    0.00955941
   100             984.6             1      -0.00193    0.00580147
   101           984.595             1      -0.00201     0.0035845
   102           984.591             1      -0.00193     0.0021045
   103           984.588             1      -0.00126     0.0012824
   104           984.585             1      -0.00147   0.000595275
   105           984.582             1      -0.00134   0.000356038
   106            984.58         0.713       -0.0012   0.000222245
   107           984.578             1     -0.000735   0.000222245
   108           984.576             1     -0.000836   0.000114346
   109           984.574             1     -0.000714   7.25001e-05
   110           984.573             1     -0.000613   4.57858e-05
   111           984.572             1     -0.000526   2.89236e-05
   112           984.571         0.412     -0.000539   1.82735e-05
   113            984.57             1     -0.000366   1.82735e-05
   114            984.57             1     -0.000374   1.02237e-05
   115           984.569             1     -0.000317   6.51763e-06
   116           984.568             1     -0.000274   4.09876e-06
   117           984.568             1     -0.000234    2.5903e-06
   118           984.567             1     -0.000201   1.64006e-06
   119           984.567             1     -0.000173   1.03746e-06
   120           984.566             1     -0.000251   6.54999e-07
   121           984.566             1     -0.000105   6.04004e-07
   122           984.566             1     -9.08e-05   3.82487e-07
   123           984.565             1     -7.82e-05   2.41302e-07
   124           984.565         0.908     -6.97e-05    1.5257e-07
   125           984.565             1     -1.91e-05    1.5257e-07
   126           984.565             1      -4.1e-05   5.08568e-08
   127           984.565             1     -4.82e-05   2.60434e-08
   128           984.565             1     -4.22e-05   1.64445e-08
   129           984.565             1     -2.91e-05   1.04027e-08

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            156941
     1            156902      0.000125     -1.54e+05       1.16483
     2            156874      9.38e-05     -1.54e+05       1.16483
     3            156736      0.000449     -1.53e+05       1.16483
     4            156677      0.000193     -1.53e+05       1.16483
     5            156550      0.000414     -1.53e+05       1.16483
     6            121417          0.12     -1.96e+05       1.16483
     7            115178        0.0268     -1.14e+05       1.16483
     8            114894       0.00127     -1.12e+05       1.16483
     9            114860      0.000152     -1.12e+05       1.16483
    10           93377.1        0.0959     -1.12e+05       1.16483
    11           93053.5       0.00178     -9.07e+04       1.16483
    12             90879         0.012     -9.02e+04       1.16483
    13           51459.3         0.164     -1.68e+05       1.16483
    14           51443.8      0.000159     -4.86e+04       1.16483
    15           47325.3        0.0384     -5.95e+04       1.16483
    16           29522.6         0.127     -1.12e+05       1.16483
    17           6659.94         0.164     -1.36e+05       1.16483
    18            2087.1         0.421      5.89e+03       1.16483
    19           1856.38         0.559           299       1.16483
    20           1924.39             1           708       1.16483
    21           1782.26             1           220       2.32966
    22           1735.63             1           172       2.34571
    23           1667.34             1          -3.4       2.40425
    24           1636.37         0.621         -41.4      0.801415
    25           1627.09        0.0858         -54.8      0.801415
    26           1515.17         0.755         -38.9      0.801415
    27           4518.51         0.721      9.26e+04      0.801415
    28           1446.75         0.894          7.35       1.60283
    29           1400.43             1          -5.8       1.60283
    30           1388.15         0.826         -3.01      0.534277
    31           1381.72             1          -1.5      0.534277
    32           1380.08         0.583        -0.979      0.260455
    33           1378.64             1        -0.327      0.260455
    34           1379.28             1          3.79      0.248864
    35            1377.9             1        -0.188      0.497727
    36           1378.13             1          1.78       0.39815
    37           1377.45             1        -0.138        0.7963
    38           1377.46             1           0.9      0.549637
    39           1377.13             1        -0.107       1.09927
    40           1375.42             1       -0.0741      0.678004
    41           1374.87             1        -0.131      0.555547
    42           1374.42             1        -0.156      0.519418
    43           1373.96             1        -0.195      0.408464
    44           1373.27             1        -0.305      0.245832
    45           1372.55         0.526        -0.639      0.142335
    46           1370.84             1         -0.81      0.142335
    47           1362.19             1         -4.24     0.0576052
    48           1354.66        0.0415         -90.4     0.0192017
    49           1242.49         0.368          -139     0.0192017
    50           974.847             1         -7.32     0.0192017
    51           976.914             1          2.68    0.00640058
    52           985.773             1          19.1     0.0128012
    53           980.439             1          10.7     0.0512047
    54           974.405             1       -0.0395      0.409637
    55           974.262             1       -0.0426      0.202955
    56           974.191             1       -0.0253      0.190348
    57           974.145             1        -0.017      0.168788
    58           974.117             1        -0.011      0.142905
    59           974.102             1      -0.00379      0.114232
    60           974.109             1        0.0281      0.103335
    61           974.096             1     -0.000524      0.206669
    62            974.09             1      -0.00203       0.20316
    63           974.084             1       -0.0022      0.134949
    64            974.08             1       0.00281     0.0951651
    65           974.133             1        0.0989     0.0958516
    66            974.08             1       0.00573      0.191703
    67           974.073             1       -0.0011      0.302224
    68           974.071             1      -0.00113      0.162197

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           43440.9
     1           35297.6        0.0767     -6.69e+04      0.953714
     2           23961.6         0.125        -6e+04      0.953714
     3           19134.6        0.0921     -3.06e+04      0.953714
     4           18779.2          0.01     -1.79e+04      0.953714
     5           8500.62         0.234     -2.68e+04      0.953714
     6            1855.7         0.416      1.12e+03      0.953714
     7            1660.1         0.764      3.19e+03      0.953714
     8           1655.84        0.0104          -205      0.953714
     9           1466.61         0.558           373      0.953714
    10           1469.29         0.591           223      0.953714
    11           1538.86         0.926           373       1.90743
    12           1432.62             1          14.1       7.62972
    13           1417.52             1        -0.777        5.6806
    14           1411.46             1          4.02       1.89353
    15           1401.08             1         -3.15       1.86983
    16           1427.15         0.943          84.7      0.623278
    17           1400.09             1           3.3       1.24656
    18           1398.81             1           2.9       1.32794
    19           1398.96             1          4.95       1.37274
    20           1395.86             1        -0.596       2.74549
    21           1415.76             1          48.7      0.915163
    22           1396.02             1          1.64       1.83033
    23           1395.42             1        -0.128        7.3213
    24           1395.17             1          0.41       2.44043
    25           1394.29             1         -0.34       2.44789
    26           1395.89             1          7.12      0.815962
    27           1393.48             1         -0.25       1.63192
    28           1391.76         0.601        -0.912      0.543975
    29            1390.7         0.088         -6.35      0.543975
    30           1390.03        0.0903         -3.58      0.543975
    31           1389.16             1       -0.0405      0.543975
    32           1389.02         0.625       -0.0657       0.38153
    33           1388.97             1       -0.0137       0.38153
    34           1388.92             1        -0.019      0.127177
    35           1388.82             1       -0.0673     0.0952698
    36           1412.59         0.575      1.69e+03     0.0317566
    37           1388.25             1          1.06     0.0635132
    38           1410.65         0.114      1.17e+03     0.0211711
    39           1408.79         0.181           699     0.0423422
    40            1406.8         0.578           209      0.169369
    41           1387.24             1         -0.26       1.35495
    42           1388.96             1          12.1       0.45165
    43           1386.49             1         -0.34      0.903299
    44           1399.26         0.709          75.7        0.3011
    45           1387.15             1          5.69        0.6022
    46              1386             1        -0.222        2.4088
    47           1385.53             1          1.16      0.802933
    48           1385.67             1          2.52      0.803099
    49           1384.38             1        -0.255        1.6062
    50           1402.95             1          46.1      0.632628
    51           1384.83             1          1.65       1.26526
    52           1384.14             1       -0.0747       5.06102
    53           1384.82             1           2.6       1.68701
    54           1384.14      1.44e-05        -0.242       3.37402
    55           1383.84             1        0.0459       3.37402
    56           1383.54             1          0.12       3.06853
    57           1383.17             1        0.0449       3.05912
    58           1382.91         0.485        -0.201       2.96923
    59           1382.72             1       -0.0421       2.96923
    60           1383.34             1          7.66      0.989743
    61           1379.45             1        -0.566       1.97949
    62           1382.59             1          7.04       1.01351
    63           1378.65             1       -0.0474       2.02702
    64           1378.56             1          0.39       1.58673
    65           1378.01             1         -0.12       2.06189
    66           1377.59             1       -0.0746      0.687296
    67           1376.67             1        -0.197      0.481845
    68           1375.72             1        -0.321      0.430079
    69            1373.4         0.343         -2.92      0.268605
    70              1372             1       -0.0124      0.268605
    71           1371.64         0.435        -0.285      0.205933
    72           1371.89             1         0.755      0.205933
    73           1371.43             1       -0.0238      0.411865
    74           1371.94             1          1.01      0.182212
    75           1371.41             1        0.0269      0.364424
    76           1371.39             1       0.00662      0.380561
    77           1371.37             1        0.0056      0.379062
    78           1371.37             1       0.00296       0.37905
    79           1371.36             1       0.00162      0.378564
    80           1371.35             1      0.000885      0.377111
    81           1371.35             1      0.000435      0.374219
    82           1371.35             1      0.000187       0.36895
    83           1371.34             1       4.1e-05      0.361136
    84           1371.34             1     -3.49e-05      0.350646
    85           1371.34             1     -7.88e-05      0.338169
    86           1371.34             1     -9.96e-05      0.324184
    87           1371.33             1     -0.000111      0.309465
    88           1371.33             1     -0.000114      0.294433
    89           1371.33             1     -0.000115      0.279523
    90           1371.33             1     -0.000113      0.264931
    91           1371.33             1      -0.00011      0.250829
    92           1371.33             1     -0.000107      0.237273
    93           1371.32             1     -0.000104      0.224308
    94           1371.32             1     -0.000101      0.211933
    95           1371.32             1     -9.77e-05      0.200143
    96           1371.32             1     -9.48e-05      0.188916
    97           1371.32             1     -9.21e-05      0.178234
    98           1371.32             1     -8.96e-05       0.16807
    99           1371.32             1     -8.73e-05      0.158402
   100           1371.32         0.157     -0.000771      0.149205
   101           1371.32             1      -0.00023      0.149205
   102           1371.31             1     -0.000594     0.0497348
   103           1371.31             1      -0.00122     0.0165783
   104           1371.31             1      -0.00116    0.00976432
   105           1371.31             1     -0.000883    0.00644229
   106            1371.3         0.778     -0.000536    0.00472463
   107            1371.3             1      0.000244    0.00472463
   108            1371.3             1       0.00263    0.00472488
   109            1371.3             1       0.00262    0.00944976
   110            1371.3             1       0.00187      0.037799
   111            1371.3             1      4.66e-05      0.302392
   112            1371.3             1     -5.49e-06      0.301603

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           38054.8
     1           38047.6      0.000101     -3.59e+04      0.203562
     2           31329.5         0.106     -2.79e+04      0.203562
     3           31111.8       0.00375     -2.88e+04      0.203562
     4           28793.1        0.0436     -2.46e+04      0.203562
     5           28769.2      0.000445     -2.67e+04      0.203562
     6             24509        0.0944     -1.97e+04      0.203562
     7           22056.1        0.0602     -1.85e+04      0.203562
     8           4888.24         0.501     -8.59e+03      0.203562
     9           3036.42         0.461          -470      0.203562
    10           2418.07             1         -93.5      0.203562
    11           2394.49         0.033          -316      0.197696
    12           2338.15        0.0982          -213      0.197696
    13            2313.5        0.0358          -304      0.197696
    14           2049.87         0.872         -93.4      0.197696
    15           1772.03             1         -24.9      0.197696
    16           1691.51             1          -6.6      0.162873
    17           1689.74             1        -0.135     0.0542909
    18           1636.49         0.067          -356      0.018097
    19           1419.62         0.706           -19      0.018097
    20           1273.06             1         -27.2      0.018097
    21           1207.82             1         -16.1     0.0135158
    22           1550.75          0.72      1.96e+03    0.00450526
    23           1550.42         0.722      1.96e+03    0.00901051
    24           1548.57         0.736      1.92e+03     0.0360421
    25           1538.59         0.837      1.71e+03      0.288336
    26           1301.03             1           544       2.30669
    27           1164.49             1         -13.5       18.4535
    28           1156.13             1            48       6.15118
    29           1131.31             1         -1.75       6.61644
    30           1130.05         0.512         -1.02       2.20548
    31            1128.9             1        -0.354       2.20548
    32           1128.27             1        -0.154       0.73516
    33           1128.05             1       -0.0736      0.721937
    34           1127.93             1       -0.0421      0.660783
    35           1127.86             1       -0.0286      0.573469
    36            1127.8             1       -0.0212      0.473788
    37           1127.76             1       -0.0163      0.381557
    38           1127.73             1       -0.0128      0.304104
    39           1127.71             1       -0.0086      0.241507
    40            1127.7             1      -0.00629      0.168911

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            164276
     1            163514       0.00238     -1.59e+05       0.40835
     2            162759       0.00237     -1.58e+05       0.40835
     3            162608      0.000475     -1.59e+05       0.40835
     4            155507        0.0236     -1.43e+05       0.40835
     5            155112        0.0013     -1.51e+05       0.40835
     6            148150        0.0241     -1.38e+05       0.40835
     7            126162        0.0791     -1.44e+05       0.40835
     8            122260        0.0153     -1.32e+05       0.40835
     9            110066        0.0484     -1.33e+05       0.40835
    10            100552        0.0423     -1.18e+05       0.40835
    11             99255       0.00663     -9.78e+04       0.40835
    12           86411.3        0.0661      -9.8e+04       0.40835
    13           84560.5        0.0108     -8.73e+04       0.40835
    14           80011.9        0.0262     -9.18e+04       0.40835
    15           51696.8         0.124     -1.73e+05       0.40835
    16           18966.5         0.165     -2.09e+05       0.40835
    17           14065.6         0.131     -2.03e+04       0.40835
    18            6298.6         0.284     -1.44e+04       0.40835
    19           4389.65         0.191     -5.27e+03       0.40835
    20           1587.98          0.53           914       0.40835
    21           4161.75         0.864      3.46e+04       0.40835
    22           3263.74         0.957      1.29e+04      0.816699
    23            1540.4             1           283        3.2668
    24           1424.11             1          23.8       3.46918
    25              1419             1           7.5       1.15639
    26              1419       2.7e-05         -15.6       1.15566
    27           1415.42             1         0.163       1.15566
    28           1414.68         0.439        -0.558      0.891399
    29           1414.32             1         0.546      0.891399
    30           1413.71             1        -0.103      0.892661
    31           1413.57             1        0.0124      0.529447
    32           1413.48             1       -0.0201      0.505682
    33           1413.46             1        0.0307      0.183622
    34           1413.41             1       -0.0152       0.19736
    35           1413.36             1       -0.0078      0.125418
    36           1412.74             1        -0.299      0.116272
    37           1411.79        0.0984         -4.83     0.0387573
    38           1410.65        0.0346         -16.6     0.0387573
    39           1410.28       0.00772         -24.2     0.0387573
    40           1410.23       0.00751         -2.85     0.0387573
    41           1409.96        0.0527         -2.48     0.0387573
    42           1409.79         0.039         -2.02     0.0387573
    43           1409.39         0.118         -1.44     0.0387573
    44            1536.9         0.342      3.14e+03     0.0387573
    45           1539.72         0.687      1.53e+03     0.0775146
    46           1408.71             1         0.179      0.310059
    47           1412.55             1          13.5      0.269781
    48           1408.17             1        -0.112      0.539561
    49           1528.87          0.85           647      0.200551
    50           1411.05             1          9.18      0.401102
    51           1407.82             1        -0.131       1.60441
    52           1408.93             1          4.21      0.534803
    53           1407.51             1       -0.0682       1.06961
    54           1407.48        0.0154        -0.793      0.356535
    55           1408.37         0.522          5.84      0.356535
    56           1407.38         0.855          1.06       0.71307
    57            1407.7             1          2.78       0.71307
    58           1406.19             1        -0.321       1.42614
    59           1407.46             1          4.28       0.66295
    60           1405.51             1        -0.125        1.3259
    61           1404.78             1        0.0213       1.07737
    62           1404.13             1         0.309       1.04037
    63           1403.94             1          1.12       1.04035
    64           1403.24             1         0.391         1.407
    65           1402.97             1          0.49         1.407
    66           1402.37             1       -0.0486       1.49936
    67           1402.06             1       -0.0822       1.31648
    68            1401.9             1      -0.00563      0.570071
    69           1401.71             1       -0.0546      0.563703
    70           1401.57             1       -0.0479      0.318646
    71           1401.47             1        -0.038      0.281719
    72           1401.39             1       -0.0282      0.228659
    73           1401.34             1       -0.0111      0.190305
    74           1401.34             1        0.0654      0.177485
    75           1401.32             1      -0.00168       0.35497
    76            1401.3             1      -0.00425      0.343151
    77           1401.28             1      -0.00224      0.303669
    78           1401.27             1       0.00288      0.288438
    79           1401.26             1        0.0115       0.28809
    80           1401.26             1        0.0184      0.311786
    81           1401.24             1       0.00614      0.398413
    82           1401.23             1       -0.0011      0.398414
    83           1401.22             1     -0.000964      0.359636
    84           1401.22             1      -0.00099      0.335507
    85           1401.21             1     -3.42e-06      0.307953
    86           1401.21             1       0.00149      0.302959
    87            1401.2             1       0.00372      0.302949
    88            1401.2             1       0.00569      0.314143
    89            1401.2             1       0.00472      0.351111
    90           1401.19             1         0.002      0.366928
    91           1401.19             1      0.000843      0.366911
    92           1401.18             1       9.6e-05      0.366264
    93           1401.18             1     -8.89e-05      0.358704
    94           1401.18             1     -0.000268      0.350101
    95           1401.18             1     -0.000178      0.332159
    96           1401.18             1     -1.07e-06      0.321397
    97           1401.17             1      0.000379      0.315812
    98           1401.17             1      0.000788      0.315676
    99           1401.17             1       0.00136       0.31575
   100           1401.17             1       0.00178      0.323573
   101           1401.17             1       0.00184      0.338088
   102           1401.17             1       0.00121      0.357043
   103           1401.16             1      0.000734      0.357934
   104           1401.16             1      0.000406      0.357971
   105           1401.16             1      0.000263      0.357836
   106           1401.16             1      8.63e-05      0.357641
   107           1401.16             1      1.75e-05      0.354944
   108           1401.16             1     -4.02e-05      0.351285
   109           1401.16         0.972     -5.15e-05      0.343562
   110           1401.16             1     -0.000103      0.343562
   111           1401.16             1     -5.38e-05       0.32888
   112           1401.16             1      2.96e-05      0.321542
   113           1401.15         0.892      4.33e-05        0.3191
   114           1401.15             1     -7.83e-05        0.3191
   115           1401.15             1      0.000126      0.307601
   116           1401.15             1      0.000357      0.307537
   117           1401.15          0.85      0.000372      0.308978
   118           1401.15             1      6.98e-05      0.308978
   119           1401.15             1      0.000473      0.307354
   120           1401.15             1      0.000704      0.319492
   121           1401.15         0.915       0.00049      0.352088
   122           1401.15             1      7.28e-05      0.352088
   123           1401.15             1      0.000142      0.349685
   124           1401.15             1      9.69e-05      0.349685
   125           1401.15         0.979      7.58e-05      0.349568
   126           1401.15             1      2.09e-05      0.349568
   127           1401.15             1      1.83e-05      0.347548
   128           1401.15             1      5.59e-06      0.346038
   129           1401.15         0.965      -3.2e-06      0.343325
   130           1401.15             1     -3.44e-05      0.343325
   131           1401.15             1     -1.64e-05      0.334767
   132           1401.15             1      4.41e-06      0.330352
   133           1401.15         0.917      4.95e-06      0.328025
   134           1401.14             1     -3.26e-05      0.328025
   135           1401.14             1      1.91e-05      0.319633
   136           1401.14             1      6.92e-05      0.318819
   137           1401.14         0.882      6.96e-05      0.318817
   138           1401.14             1      2.16e-06      0.318817
   139           1401.14             1      8.85e-05        0.3162
   140           1401.14             1      0.000157      0.316282
   141           1401.14         0.875      0.000153      0.318832
   142           1401.14             1      4.94e-05      0.318832
   143           1401.14             1      0.000159      0.318634
   144           1401.14             1      0.000216      0.323804
   145           1401.14         0.906      0.000185      0.335779
   146           1401.14             1      6.68e-05      0.335779
   147           1401.14             1       0.00012      0.335758
   148           1401.14             1      0.000124      0.337896
   149           1401.14          0.94      0.000109      0.339696
   150           1401.14             1      5.45e-05      0.339696
   151           1401.14             1      7.71e-05      0.339693
   152           1401.14             1      7.65e-05      0.340056
   153           1401.14         0.946      6.74e-05       0.34029
   154           1401.14             1      3.18e-05       0.34029
   155           1401.14             1      4.61e-05      0.340204

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            277113
     1            276694      0.000779     -2.69e+05       1.00934
     2            276546      0.000276     -2.69e+05       1.00934
     3            276509      6.73e-05     -2.68e+05       1.00934
     4            276201      0.000574     -2.69e+05       1.00934
     5            274101       0.00389     -2.72e+05       1.00934
     6            274001      0.000188     -2.66e+05       1.00934
     7            273475      0.000987     -2.67e+05       1.00934
     8            139836         0.189     -4.25e+05       1.00934
     9           84445.5         0.177     -1.67e+05       1.00934
    10           82050.6        0.0145     -8.32e+04       1.00934
    11           81164.1       0.00557     -7.98e+04       1.00934
    12           34742.1         0.287     -7.25e+04       1.00934
    13           30813.3         0.059     -3.42e+04       1.00934
    14           14635.5         0.266      -3.1e+04       1.00934
    15           14425.7       0.00817     -1.28e+04       1.00934
    16           10667.3         0.141     -1.41e+04       1.00934
    17           2117.63         0.518      2.44e+03       1.00934
    18            1969.4         0.106     -1.16e+03       1.00934
    19           1920.09        0.0597          -387       1.00934
    20           1732.41         0.723           422       1.00934
    21           1547.05             1           152       1.00934
    22           1472.42         0.525         -56.3      0.589435
    23           1456.38         0.774          11.6      0.589435
    24           1448.19             1        -0.204      0.589435
    25           1449.28             1          11.5      0.196478
    26           1437.73             1            12      0.392957
    27           1431.42         0.878         -1.06      0.387878
    28           1430.96             1        -0.151      0.387878
    29           1430.95       0.00154        -0.268      0.129293
    30           1459.75             1           605      0.129293
    31           1430.51             1        -0.347      0.258585
    32           3633.45         0.439      3.32e+05     0.0861952
    33           3621.84         0.821      1.73e+05       0.17239
    34           1430.06             1        -0.294      0.689561
    35           3539.03         0.815      1.11e+05      0.229854
    36            1429.7             1          3.76      0.459707
    37           1621.31             1      1.33e+03      0.461774
    38           1428.88             1          4.31      0.923548
    39           1426.26             1         0.214       1.02245
    40           1424.92             1        -0.156        0.9725
    41           1425.78             1          3.58      0.854663
    42            1423.9             1         0.268       1.70933
    43           1423.06             1        -0.206       1.70788
    44           1416.17         0.321         -8.12        1.2506
    45           1413.76             1        -0.328        1.2506
    46            1413.5             1        -0.037      0.558954
    47           1413.43             1       -0.0289      0.186318
    48           1406.25         0.115          37.5     0.0661759
    49           1406.25      0.000175         -5.87     0.0661759
    50           2033.17             1      3.19e+03     0.0661759
    51           1445.92         0.628           190      0.132352
    52           1401.86         0.579         -0.98      0.529407
    53           1399.27             1         0.164      0.529407
    54           1398.12             1        -0.249      0.426319
    55           1400.14             1          10.6      0.142106
    56           1397.61             1       -0.0983      0.284213
    57           1741.85          0.32      2.51e+03      0.116779
    58           1773.17         0.602      1.37e+03      0.233558
    59           1416.93             1          35.1      0.934232
    60           1391.89             1         -1.96       7.47386
    61           1388.18             1            -1       3.31026
    62           1386.62             1        0.0982       1.45358
    63           1385.09             1        -0.518       1.30484
    64           1384.22         0.591         0.294      0.544586
    65           1383.01             1        -0.157      0.544586
    66           1382.36             1        0.0467      0.467104
    67           1381.48             1        -0.214      0.466316
    68           1380.88         0.474         -0.55      0.421727
    69           1379.56             1        -0.556      0.421727
    70           1378.17         0.249         -2.48      0.195307
    71           1377.53        0.0788         -3.78      0.195307
    72           1376.85         0.369        -0.602      0.195307
    73           1378.89             1          7.61      0.195307
    74           1376.39             1        0.0813      0.390613
    75           1376.18             1       0.00102      0.351897
    76           1376.05             1       -0.0256      0.306222
    77              1376             1       -0.0127      0.190239
    78           1375.97             1      -0.00777       0.12401
    79           1375.96             1      -0.00513     0.0752364
    80           1375.95             1      -0.00352     0.0636871
    81           1375.94             1       -0.0026      0.053376
    82           1375.94             1      -0.00201     0.0436032
    83           1375.94             1      -0.00158      0.035049
    84           1375.93             1      -0.00125     0.0280305
    85           1375.93             1        -0.001     0.0222811
    86           1375.93             1     -0.000715     0.0177493
    87           1375.93             1     -0.000485     0.0130081
    88           1375.93             1     -0.000348    0.00890601
    89            1375.1             1        0.0101    0.00694294
    90           1379.08             1          14.4    0.00552325
    91            1378.3             1          11.4     0.0110465
    92            1376.1             1          3.64      0.044186
    93           1374.87             1       -0.0158      0.353488
    94           1374.84             1      -0.00878      0.218497
    95           1374.83             1     -0.000621     0.0728323
    96           1374.82             1     -0.000151     0.0588022
    97           1374.82             1      0.000488     0.0250288
    98           1374.82             1       0.00114     0.0314492
    99           1374.82             1      0.000758     0.0628983
   100           1374.82             1      8.89e-05      0.251593
   101           1374.82             1      1.14e-05      0.251567
   102           1374.82             1     -2.72e-07      0.250931
   103            1372.2         0.194         -6.63      0.228027
   104           1371.42             1        -0.099      0.228027
   105           1371.31             1       -0.0127     0.0760091
   106           1371.31             1       0.00787     0.0253364
   107           1371.32             1        0.0217     0.0258917
   108           1371.31             1        0.0156     0.0517833
   109            1371.3             1       0.00279      0.207133
   110            1371.3        0.0332      -0.00157      0.208676
   111            1371.3             1      0.000496      0.208676
   112            1371.3             1      0.000103      0.209807

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            100232
     1            100229      1.25e-05      -9.8e+04       1.65596
     2            100227      1.34e-05      -9.8e+04       1.65596
     3            100223       1.9e-05      -9.8e+04       1.65596
     4            100206      8.62e-05     -9.79e+04       1.65596
     5           73731.7         0.134     -1.08e+05       1.65596
     6           72817.5       0.00633     -7.31e+04       1.65596
     7           72408.2       0.00289     -7.12e+04       1.65596
     8           44962.9         0.128     -1.88e+05       1.65596
     9           44958.1      5.56e-05     -4.28e+04       1.65596
    10           44207.5       0.00866     -4.39e+04       1.65596
    11           39643.4        0.0494     -5.08e+04       1.65596
    12           25907.6         0.138     -6.83e+04       1.65596
    13           25760.4       0.00306     -2.41e+04       1.65596
    14           16594.2         0.142     -5.43e+04       1.65596
    15           13842.2        0.0945     -1.44e+04       1.65596
    16           2590.11         0.404      2.06e+04       1.65596
    17           1920.37         0.511           389       1.65596
    18           1907.63        0.0234          -271       1.65596
    19           2354.25             1      3.21e+03       1.65596
    20           1920.42             1      1.67e+03       3.31193
    21           1563.88             1          44.1       13.2477
    22           1538.23             1          16.3       4.41591
    23            1528.2             1          2.03       2.95377
    24           1524.97             1        -0.253       1.85646
    25           1519.38             1         -2.49       1.03771
    26            1462.4             1         -10.6      0.345904
    27           1437.78             1          14.7      0.115301
    28           2599.74         0.562      2.65e+04     0.0942037
    29           2527.56          0.97      1.52e+04      0.188407
    30           1418.37             1         -3.26      0.753629
    31           1682.56             1      1.36e+03       0.25121
    32           1421.49             1          13.5       0.50242
    33           1416.66             1        -0.473       2.00968
    34           1418.21             1          5.83      0.669893
    35           1416.11             1       -0.0417       1.33979
    36           1416.01        0.0593        -0.785      0.452772
    37           1439.05             1          66.6      0.452772
    38           1416.45             1          2.59      0.905544
    39           1415.58             1        -0.155       3.62218
    40           1415.44             1         0.912       1.20739
    41           1414.47             1        -0.037       1.41583
    42           1413.73             1         0.171        1.2235
    43           1412.72             1        -0.153       1.18929
    44           1411.88             1         0.136      0.882911
    45           1410.55             1        -0.274      0.854871
    46           1408.47             1        -0.498      0.698739
    47           1405.22         0.521         -2.49      0.581773
    48           1404.87        0.0224         -7.83      0.581773
    49           1404.15         0.176         -1.73      0.581773
    50           1406.01             1          5.17      0.581773
    51           1403.36             1         0.322       1.16355
    52           1403.29             1          1.03       1.16027
    53           1402.39             1       -0.0705       1.89534
    54           1402.31             1          0.31       1.58684
    55           1402.17         0.204        -0.275       2.00374
    56           1401.91             1       -0.0415       2.00374
    57           1401.79             1       -0.0223       1.57113
    58           1401.74         0.429       -0.0497       1.36356
    59           1401.67             1        -0.028       1.36356
    60           1401.59             1       -0.0273      0.708661
    61           1401.52             1       -0.0281      0.566221
    62           1401.45             1       -0.0253      0.389486
    63            1401.4             1       -0.0219      0.300517
    64           1401.35             1       -0.0189      0.228731
    65           1401.31             1       -0.0167      0.173421
    66           1401.27             1       -0.0149      0.130078
    67           1401.24             1       -0.0117     0.0972064
    68           1401.24             1        0.0373     0.0777039
    69           1402.12             1          1.79      0.141598
    70           1401.33             1         0.203      0.283196
    71           1401.21             1      -0.00424       1.13278
    72            1401.2             1       -0.0018        0.4394
    73            1401.2             1      -0.00301      0.242893
    74           1401.18             1      -0.00228     0.0809644
    75           1401.19         0.391        0.0204     0.0722704
    76           1401.18         0.442       0.00801      0.144541
    77           1401.18             1      -0.00111      0.144541
    78           1401.23             1         0.107      0.132297
    79           1401.18             1        0.0195      0.264594
    80           1401.17             1     -0.000732       1.05838
    81           1401.17             1     -0.000749      0.547209
    82           1401.17             1      -0.00197      0.182403
    83           1401.16        0.0469       -0.0439      0.060801
    84           1401.13          0.36       -0.0464      0.060801
    85           1400.98             1       -0.0736      0.060801
    86           1400.96         0.012        -0.888      0.020267
    87           1398.93             1         -1.01      0.020267
    88           1397.25        0.0223         -37.3    0.00675567
    89           1397.23        0.0035         -1.86    0.00675567
    90           1429.36         0.373           143    0.00675567
    91           1429.53           0.4           134     0.0135113
    92           1429.82         0.557          96.2     0.0540453
    93           1399.03             1          3.45      0.432363
    94           1397.07             1       -0.0408        3.4589
    95           1397.04             1         0.019       1.15297
    96           1397.01             1       -0.0056       1.15202
    97           1397.02             1        0.0303      0.384006
    98           1397.01             1     -0.000347      0.768011
    99              1397             1      -0.00132      0.723264
   100              1397         0.335      -0.00224      0.241088
   101              1397             1      -0.00154      0.241088
   102           1396.99             1      -0.00203     0.0803627
   103           1396.99             1      -0.00278     0.0267876
   104           1396.99             1        0.0203     0.0159784
   105           1396.99             1       0.00757     0.0319567
   106           1396.99             1     -7.01e-06      0.127827
   107           1396.99             1       0.00187      0.125596
   108           1396.98             1      3.67e-06      0.251191
   109           1396.98             1     -0.000171      0.249656
   110           1396.98             1     -0.000196      0.167991
   111           1396.98             1     -1.04e-06      0.124869
   112           1396.98         0.573       0.00037      0.123256
   113           1396.98             1      3.97e-05      0.123256
   114           1396.98             1       0.00396      0.122668
   115           1396.98             1      0.000463      0.245336
   116           1396.98             1      2.05e-05      0.287944
   117           1396.98             1     -1.86e-05      0.283446
   118           1396.98             1     -3.72e-05      0.277772
   119           1396.98             1     -4.75e-05       0.26711
   120           1396.98             1     -5.45e-05      0.252551
   121           1396.98         0.994     -5.27e-05      0.234693
   122           1396.98             1     -4.46e-05      0.234693
   123           1396.98             1     -3.45e-05      0.223555
   124           1396.98             1     -7.54e-06      0.216734
   125           1396.98         0.872     -1.94e-06      0.214708
   126           1396.98             1     -1.84e-05      0.214708
   127           1396.98             1      2.76e-05      0.211293
   128           1396.98             1      8.51e-05       0.21118
   129           1396.98         0.853      9.19e-05      0.211315
   130           1396.98             1      4.71e-05      0.211315
   131           1396.98             1      0.000131      0.211306
   132           1396.98             1      0.000199      0.213678
   133           1396.98             1      0.000278      0.222311
   134           1396.98             1      0.000249      0.247695
   135           1396.98             1      0.000187      0.260079
   136           1396.98             1      0.000127      0.265866
   137           1396.98             1      8.87e-05      0.267298
   138           1396.98             1      6.23e-05      0.267832
   139           1396.98             1      4.89e-05      0.267902
   140           1396.98             1       3.4e-05      0.267915

 Optimization terminated: Constrained optimum found.
 Parameters converged to within tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0            250230
     1            249649       0.00118     -2.45e+05        3.5133
     2            218423        0.0672     -2.24e+05        3.5133
     3            217544       0.00206     -2.13e+05        3.5133
     4           97026.3         0.302     -2.27e+05        3.5133
     5           68004.9         0.189     -6.34e+04        3.5133
     6           33008.9         0.336     -4.18e+04        3.5133
     7           2196.62          0.69          -722        3.5133
     8           1809.54         0.515          -271        3.5133
     9           1602.44             1         -12.1        3.5133
    10           1530.58             1         -12.4       3.33476
    11           1547.46         0.638           989       1.11159
    12           1514.19             1          -2.4       2.22318
    13           1488.85         0.534          -147      0.774249
    14           1468.22         0.274         -37.2      0.774249
    15           1456.15         0.305         -18.7      0.774249
    16           1453.97         0.235         -4.04      0.774249
    17           1450.14             1        -0.779      0.774249
    18           2099.42         0.438      3.37e+03      0.258083
    19           2116.36         0.492      3.15e+03      0.516166
    20           2209.25         0.881      2.05e+03       2.06466
    21           1444.06             1          1.88       16.5173
    22           1437.75             1         -1.89       16.4493
    23            1434.4             1         -1.18       8.95961
    24           1431.28             1         -1.15       6.72732
    25           1428.05             1        -0.766       4.92115
    26           1424.83             1         -1.02       4.61238
    27           1422.05             1         -1.01       4.06325
    28           1418.96             1         -1.31       3.29001
    29           1416.61         0.316         -3.62       1.97799
    30           1406.98         0.891         -5.19       1.97799
    31           1394.68         0.614         -8.37       1.97799
    32            1385.2             1         -1.74       1.97799
    33           1384.13             1        -0.283      0.659329
    34           1383.05             1         -0.44      0.284233
    35           1381.52             1        -0.677      0.203856
    36           1376.37             1         -2.39      0.106798
    37           1376.33      0.000901         -24.3     0.0637549
    38           1376.29      0.000781         -23.7     0.0637549
    39           1330.89             1         -22.1     0.0637549
    40           1214.08          0.22          -238     0.0212516
    41           1129.04         0.212          -177     0.0212516
    42           987.186             1        -0.477     0.0212516
    43           1427.45         0.827      1.06e+03    0.00708388
    44           1034.88             1          86.3     0.0141678
    45           985.304             1        -0.341      0.056671
    46             994.2             1          16.5     0.0188903
    47           985.467             1         0.801     0.0377807
    48           984.955             1        -0.113      0.151123
    49           984.969             1         0.363     0.0503742
    50           984.768             1       -0.0479      0.100748
    51           985.103             1         0.727     0.0335828
    52           984.696             1          0.01     0.0671656
    53             984.7             1        0.0663     0.0389565
    54           984.644             1       -0.0117     0.0779131
    55            984.75             1         0.203      0.025971
    56           984.639             1       0.00649      0.051942
    57           984.628             1      -0.00233     0.0522348
    58           984.625             1       0.00246      0.032291
    59           984.618             1      -0.00194     0.0324785
    60           984.615             1       0.00118     0.0159826
    61           984.609             1      -0.00196     0.0159803
    62           984.605             1       0.00207    0.00535942
    63           984.598             1      -0.00199    0.00535942
    64           984.592             1      -0.00233    0.00178647
    65           984.589             1      -0.00122    0.00145127
    66           984.585             1      -0.00167   0.000574237
    67           984.582             1       -0.0013   0.000374837
    68           984.579             1      -0.00111    0.00023443
    69           984.577             1     -0.000954   0.000147762
    70           983.994         0.217         -1.27   9.22505e-05
    71           981.631         0.781        -0.521   9.22505e-05
    72           981.267             1       -0.0615   9.22505e-05
    73            981.24             1       -0.0033   3.07502e-05
    74           981.237             1     -0.000478   1.02501e-05

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

                                         Directional
 Iteration      Residual     Step-size    derivative        Lambda
     0           973.988
     1           974.007             1        0.0237   4.18945e-08
     2           973.989             1       0.00564   8.37889e-08
     3           973.984         0.916     -0.000163   3.35156e-07
     4           973.984             1      3.82e-06   3.35156e-07
     5           973.984        0.0474     -5.11e-05   1.25863e-07
     6           973.984             1     -2.96e-05   1.25863e-07
     7           973.983             1     -3.82e-05   6.95889e-08
     8           973.984         0.053          2.29   3.96237e-08
     9           973.983         0.103     -2.86e-05   7.92474e-08
    10           973.983             1     -2.29e-05   7.92474e-08
    11           973.983             1     -3.63e-05   3.30213e-08
    12           973.983             1     -3.46e-05   1.94013e-08

 Optimization terminated: Constrained optimum found.
 Norm of gradient less than tolerance.

        Estimation completed in 335.6700 seconds.

        Preprocessing time:     12.2600 s

        Computation time:       322.8200 s

        Postprocessing time:    0.5900 s


 ========== Varying ex_1 upward from 1 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.768286     0.0438211     0.0438211     -0.000006      0.000000      0          0            1   4.18945e-08
     2          1.536577     0.0619744     0.0181534     -0.000001      0.000000      0          0            1   1.39648e-08
     3          2.304868      0.075904     0.0139296     -0.000001      0.000000      0          0            1   4.65494e-09
     4          3.073159     0.0876473     0.0117432     -0.000000      0.000000      0          0            1   1.55165e-09
     5          3.841452     0.0979934     0.0103461      0.000001      0.000000      0          0            1   5.17216e-10
     6          4.022884      0.100281     0.0022876      0.000000      0.000000      0          0        0.245   1.72405e-10

 ========== Varying ex_1 downward from 1 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.766577     0.0438189     0.0438189      0.000013      0.001728     13          0            1   4.18945e-08
     2          1.534869     0.0619734     0.0181545      0.000001      0.000000      0          0            1   1.39648e-08
     3          2.303161     0.0759034       0.01393      0.000000      0.000000      0          0            1   4.65494e-09
     4          3.071453     0.0876465     0.0117431      0.000000      0.000000      0          0            1   1.55165e-09
     5          3.839747     0.0979919     0.0103454      0.000002      0.000000      0          0            1   5.17216e-10
     6          3.948572     0.0993702    0.00137835      0.000000      0.000000      0          0        0.147   1.72405e-10

 ========== Varying R1 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.768292   8.74696e-05   8.74696e-05     -0.000000      0.000000      0          0            1   4.18945e-08
     2          1.536553   0.000123785   3.63154e-05     -0.000030      0.000000      1          0            1   1.39648e-08
     3          2.304832    0.00015165   2.78653e-05     -0.000013      0.000000      1          0            1   4.65494e-09
     4          2.632572   0.000162089   1.04387e-05     -0.000002      0.000000      0          0        0.444   1.55165e-09
     5          3.400858   0.000184257   2.21683e-05     -0.000006      0.000000      0          0            1   1.55165e-09
     6          3.481594   0.000186433   2.17617e-06      0.000001      0.000000      0          0         0.11   5.17216e-10
     7          4.249883   0.000206001   1.95676e-05     -0.000003      0.000000      0          0            1   5.17216e-10

 ========== Varying R1 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R2 exch upward from 1.193e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.003372       5734.86       5734.86      0.005277      0.003365      4          0            1   4.18945e-08
     2         -0.003420       15482.1       9747.26      0.023424      0.015413      5          0            1   1.39648e-08
     3         -0.003421        890339        874857     -0.000000      0.000000      0          0            1   4.65494e-09
     4         -0.003420   2.40564e+06    1.5153e+06      0.000000      0.000000      0          0            1   1.55165e-09
     5         -0.003420   5.03021e+06   2.62457e+06      0.000000      0.000000      0          0            1   5.17216e-10
     6         -0.003419   9.57609e+06   4.54589e+06      0.000001      0.000000      0          0            1   1.72405e-10
     7         -0.003421         1e+07        423904     -0.000002      0.000000      0          0       0.0538   5.74685e-11
     8          0.021209         1e+07     0.0109802     -0.000003      0.000000      0          0        0.179   5.74685e-11
     9          0.141168         1e+07     0.0156052      0.000077      0.000029      3          0        0.304   5.74685e-11
    10          0.910687         1e+07     0.0401413      0.001985      0.000758      8          0            1   5.74685e-11
    11          1.331890         1e+07     0.0138549      0.000285      0.000020      7          0        0.585   1.91562e-11
    12          1.418107         1e+07    0.00254858      0.000015      0.000003      9          0        0.125   1.91562e-11
    13          2.187138         1e+07     0.0199513      0.000783      0.000044     10          0            1   1.91562e-11
    14          2.956028         1e+07     0.0166272      0.000639      0.000041      8          0            1   6.38538e-12
    15          3.472166         1e+07    0.00995239      0.000247      0.000018     12          0        0.684   2.12846e-12
    16          4.240935         1e+07     0.0135247      0.000508      0.000030      8          0            1   2.12846e-12

 ========== Varying R2 exch downward from 1.193e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R5 net upward from -1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R5 net downward from -1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.005222     0.0029882     0.0029882     -0.003718      0.759126     17          0            1   4.18945e-08
     2          0.381475     0.0280611     0.0250729     -0.008395      0.383644     10          0            1   1.39648e-08
     3          1.072903     0.0763715     0.0483104     -0.074582      0.002281      1          0            1   4.65494e-09
     4          1.751249       0.13334     0.0569688     -0.087450      0.002496      8          0            1   1.55165e-09
     5          1.917809      0.149341     0.0160012     -0.006022      0.000199      1          0         0.23   5.17216e-10
     6          2.563191      0.223104     0.0737628     -0.118870      0.004040      1          0            1   5.17216e-10
     7          2.688866       0.24064      0.017536     -0.005844      0.000159      1          0        0.178   1.72405e-10
     8          3.247648      0.347067      0.106427     -0.200000      0.009510      1          0            1   1.72405e-10
     9          0.093755      0.533919      0.186852     -0.496629      3.425565     25          0            1   5.74685e-11
    10          0.117171      0.581749     0.0478295      0.572556      0.811531      8         13            1        1.3164
    11          0.868240      0.603463     0.0217144     -0.005890      0.002587      5          0            1       0.57322
    12          1.634878      0.616007     0.0125439      0.000009      0.000000      0          0            1      0.191073
    13          2.395097      0.625847    0.00984001      0.014501      0.021651      6          0            1     0.0636911
    14          3.162074      0.634294    0.00844678      0.091749      0.092120      6          0            1     0.0212304
    15          3.928696      0.641801    0.00750777      0.124218      0.125281      6          0            1      0.011777

 ========== Varying R5 exch upward from 0.18 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000006       540.558       540.558      0.000002      0.000000      0          0            1   4.18945e-08
     2         -0.003222        549969        549429      0.084123      0.094777     15          0            1   1.39648e-08
     3         -0.100349   2.20522e+06   1.65525e+06      0.233695      0.041404      9          0            1   4.65494e-09
     4         -0.091125   3.37728e+06   1.17206e+06      0.000002      0.000000      0          0            1   1.55165e-09
     5         -0.080470   6.55854e+06   3.18126e+06     -0.000001      0.000000      0          0            1   5.17216e-10
     6         -0.103436         1e+07   3.44146e+06      0.000362      0.052651      5          0        0.167   1.72405e-10
     7         -0.286849         1e+07             0   1165.667351   1165.666838     21          0        0.803   1.72405e-10
     8         -0.286841         1e+07             0     -0.000001      0.000000      0         21            1    1.9877e+08
     9          0.113083         1e+07             0      0.000000      0.000000      0         14            1   1.23857e+08
    10          0.745609         1e+07             0     -0.000000      0.000000      0         14            1   1.23857e+08
    11          1.433388         1e+07             0      0.000001      0.000000      0         14            1   1.23857e+08
    12          2.145021         1e+07             0     -0.000000      0.000000      0         14            1   1.23857e+08
    13          2.869787         1e+07             0     -0.000001      0.000000      0         14            1   1.23857e+08
    14          3.602819         1e+07             0     -0.000001      0.000000      0         14            1   1.23857e+08
    15          4.341516         1e+07             0      0.000001      0.000000      0         14            1   1.23857e+08

 ========== Varying R5 exch downward from 0.18 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000105      0.180026      0.180026      0.000001      0.000000      0          0     0.000394   4.18945e-08

 ========== Varying R7 net upward from -0.5975 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.001525   0.000915319   0.000915319     -0.001318      0.239502     12          0        0.313   4.18945e-08
     2          0.006677    0.00326218    0.00234687      0.001783      0.761852      4          0            1   4.18945e-08
     3          0.023732    0.00556788     0.0023057      0.001741      0.752971      6          0            1   1.39648e-08
     4          0.049361    0.00784724    0.00227936      0.001716      0.744377     15          0            1   4.65494e-09
     5          0.083465     0.0101053    0.00225807      0.001697      0.735883      4          0            1   1.55165e-09
     6          0.125865     0.0123437    0.00223842      0.001682      0.727573      4          0            1   5.17216e-10
     7          0.176414     0.0145635    0.00221977      0.001667      0.719410      3          0            1   1.72405e-10
     8          0.234892     0.0167651    0.00220157      0.001653      0.711466      3          0            1   5.74685e-11
     9          0.339210     0.0201041      0.003339     -0.000862      0.663108      5          3            1   1.22599e-09
    10          0.417178     0.0222614    0.00215732      0.001620      0.691944      5          0            1   4.08665e-10
    11          0.502556     0.0244017    0.00214033      0.001605      0.684519      3          0            1   1.36222e-10
    12          0.595196     0.0265253    0.00212354      0.001593      0.677245      5          0            1   4.54072e-11
    13          0.695006     0.0286323    0.00210709      0.001581      0.670063      4          0            1   1.51357e-11
    14          0.760361     0.0299273    0.00129491      0.000629      0.410667      4          3         0.62   3.22895e-10
    15          0.871307     0.0320086    0.00208136      0.001562      0.658908      4          0            1   3.22895e-10
    16          0.891383     0.0323833   0.000374662     -0.056319      0.062469     10          0        0.181   1.07632e-10
    17          1.072640      0.035474    0.00309074      0.003664      0.590695      9          0            1   1.07632e-10
    18          1.202887     0.0375305     0.0020565     -0.000087      0.387395      8          0        0.675   3.58773e-11
    19          1.417051     0.0406773    0.00314682     -0.000839      0.553286     30          2            1   2.87018e-10
    20          1.434222     0.0409202   0.000242873      0.000306      0.046451      4          0       0.0828   9.56727e-11
    21          1.664613     0.0441275    0.00320733     -0.001000      0.536900     15          0            1   9.56727e-11
    22          1.893818     0.0472599    0.00313236     -0.000766      0.538321      7          0            1   3.18909e-11
    23          2.123642      0.050325    0.00306512     -0.000579      0.537889      7          0            1   1.06303e-11
    24          2.354794     0.0533269    0.00300189     -0.000413      0.536726      9          0            1   3.54343e-12
    25          2.586781      0.056257    0.00293006     -0.000236      0.536072     10          0            1   1.18114e-12
    26          2.647709     0.0564873   0.000230354      0.000000      0.000000      0          0       0.0797   3.93715e-13
    27          2.841440     0.0593722    0.00288492     -0.000136      0.574424      9          2            1   3.14972e-12
    28          3.079770     0.0622058    0.00283351      0.000211      0.530170      9          1            1   2.09981e-12
    29          3.321232     0.0649905    0.00278479      0.000281      0.527110     11          1            1   1.39988e-12
    30          3.346442     0.0652762   0.000285637      0.000193      0.054677      7          1        0.104    9.3325e-13
    31          3.591520     0.0680113    0.00273507      0.000740      0.523952      9          2            1     7.466e-12
    32          3.839727     0.0707023    0.00269108      0.000272      0.520356     10          2            1   1.99093e-11
    33          4.091616     0.0733529     0.0026506      0.000947      0.517347      7          1            1   1.32729e-11

 ========== Varying R7 net downward from -0.5975 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.089721     0.0105527     0.0105527     -0.012923      0.665569     10          0            1   4.18945e-08
     2          0.299793     0.0192634    0.00871075     -0.010944      0.547274      7          5            1      5.72e-05
     3          0.585122     0.0268919     0.0076284     -0.008645      0.474317     12          0            1   1.90667e-05
     4          0.920903     0.0337735    0.00688166     -0.007135      0.425376     10          0            1   6.35555e-06
     5          1.294225     0.0401014    0.00632793     -0.006107      0.388863     10          0            1   2.11852e-06
     6          1.696916     0.0459972    0.00589578     -0.005360      0.360241      9          0            1   7.06172e-07
     7          2.123410     0.0515436    0.00554639     -0.004791      0.337007      8          0            1   2.35391e-07
     8          2.281366     0.0534595    0.00191591     -0.000573      0.116660      8          0        0.364   7.84636e-08
     9          2.734004     0.0586232    0.00516371     -0.004203      0.311450     10          0            1   7.84636e-08
    10          2.929216      0.060723    0.00209975     -0.000697      0.126784      8          0        0.426   2.61545e-08
    11          3.126973     0.0627832     0.0020602     -0.000673      0.124107      7          0        0.425   2.61545e-08
    12          3.305879     0.0645942    0.00181101     -0.000522      0.108899      7          0         0.38   2.61545e-08
    13          3.525363     0.0667535    0.00215934     -0.000744      0.129473      7          0         0.46   2.61545e-08
    14          3.744120     0.0688432    0.00208964     -0.000700      0.124999      7          0        0.453   2.61545e-08
    15          3.972500     0.0709639    0.00212077     -0.000723      0.126545      7          0        0.468   2.61545e-08

 ========== Varying R7 exch upward from 0.09011 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.000332       2559.48       2559.48      0.004631      0.004449      4          0            1   4.18945e-08
     2         -0.006209        639374        636815      0.000025      0.000055      1          0            1   1.39648e-08
     3         -0.006207   1.73813e+06   1.09876e+06      0.000000      0.000000      0          0            1   4.65494e-09
     4         -0.006196   3.64114e+06   1.90301e+06      0.000001      0.000000      0          0            1   1.55165e-09
     5          0.006613   6.90949e+06   3.26834e+06      0.000005      0.000000      0          0            1   5.17216e-10
     6          0.010688         1e+07   3.09051e+06      0.000001      0.000000      0          0        0.544   1.72405e-10
     7          0.067254         1e+07   1.59349e-05     -0.000010      0.000000      0          0        0.074   1.72405e-10
     8          0.135810         1e+07    2.2836e-05     -0.000005      0.000000      0          0       0.0894   1.72405e-10
     9          0.000160         1e+07   0.000135649     -0.000226      0.543582      4          0        0.532   1.72405e-10
    10          0.006932         1e+07    0.00293205     -0.184825      0.576694      7          0            1   1.72405e-10
    11          0.009940         1e+07   0.000534754      0.131713      0.240255      5          0        0.146   5.74685e-11
    12          0.013482         1e+07    0.00050137     -0.060272      0.093479      6          0        0.205   5.74685e-11
    13          0.019800         1e+07   0.000826549      0.216129      0.380891      5          0        0.224   5.74685e-11
    14          0.030090         1e+07    0.00112207     -0.132244      0.215569      9          0        0.467   5.74685e-11
    15          0.050189         1e+07     0.0017271      0.508881      0.850589      6          0        0.473   5.74685e-11
    16          0.088558         1e+07    0.00252063     -0.211819      0.518103     11          0            1   5.74685e-11
    17          0.161733         1e+07    0.00358455     -0.007223      0.687894      8          0            1   1.91562e-11
    18          0.216100         1e+07    0.00214499     -0.000428      0.431308      8          0        0.634   6.38538e-12
    19          0.309875         1e+07    0.00313369      0.000046      0.592875      6          0        0.894   6.38538e-12
    20          0.426638         1e+07    0.00328892      0.020785      0.672314      5          0            1   6.38538e-12
    21          0.447018         1e+07   0.000524787      0.001201      0.107553      3          0        0.166   2.12846e-12
    22          0.537853         1e+07    0.00220293      0.664915      1.113460      9          0        0.703   2.12846e-12
    23          0.646734         1e+07    0.00240671     -0.191152      0.468258     12          0            1   2.12846e-12
    24          0.699230         1e+07     0.0010859     -0.000153      0.198541      6          0        0.329   7.09487e-13
    25          0.863252         1e+07      0.003147     -0.000779      0.603491     10          0            1   7.09487e-13
    26          1.042079         1e+07    0.00309969     -0.000736      0.588730      8          0            1   2.36496e-13
    27          1.158197         1e+07   0.000463983      0.000003      0.000000      0          0        0.152   7.88319e-14
    28          1.153884         1e+07    0.00133736     -0.000152      0.339891      8          0        0.439   7.88319e-14
    29          1.355048         1e+07    0.00302766     -0.000628      0.566500      9          0            1   7.88319e-14
    30          1.456327         1e+07    0.00143802     -0.000123      0.267650      7          0        0.482   2.62773e-14
    31          2.190169         1e+07    0.00998457     -0.010131      0.024318     10          0            1   2.62773e-14
    32          2.421737         1e+07    0.00298379     -0.000366      0.536358      8          0            1    8.7591e-15
    33          2.501762         1e+07    0.00101175     -0.000030      0.184504      8          0        0.346    2.9197e-15
    34          2.736268         1e+07    0.00290782     -0.000189      0.533596      8          0            1    2.9197e-15
    35          2.973414         1e+07     0.0028554     -0.000083      0.531063     10          0            1   9.73233e-16
    36          3.502298         1e+07    0.00193483      0.000006      0.000000      0          0         0.69   3.24411e-16
    37          3.380707         1e+07    0.00277731      0.000047      0.889929     13          0            1   3.24411e-16
    38          3.626092         1e+07    0.00272802      0.000163      0.523069     12          0            1   1.08137e-16
    39          3.874817         1e+07    0.00268494      0.000230      0.519797      9          0            1   3.60457e-17

 ========== Varying R7 exch downward from 0.09011 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000000      0.090108      0.090108      0.000000      0.000000      0          0     3.53e-05   4.18945e-08

 ========== Varying R9 net upward from 0.08272 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.002390    0.00156738    0.00156738     -0.000661      0.104140      6          0        0.142   4.18945e-08
     2          0.012768    0.00317097    0.00160359      0.001024      0.758929      8          0            1   4.18945e-08
     3          0.072539    0.00686932    0.00369835     -0.004375      0.704110      8          0            1   1.39648e-08
     4          0.109889    0.00839022     0.0015209     -0.004900      0.726037     20          0            1   4.65494e-09
     5          0.604076     0.0192685     0.0108783     -0.017256      0.256849     10          0            1   1.55165e-09
     6          0.683128     0.0204664     0.0011979      0.002848      0.692087      8          0            1   5.17216e-10
     7          0.910723      0.023503    0.00303659     -0.000001      0.000000      0          0          0.3   1.72405e-10
     8          0.018610     0.0334945    0.00999145      0.010867      1.671273     44          0            1   1.72405e-10
     9          0.021965     0.0351029    0.00160844      0.001518      0.104286     13          0        0.144   5.74685e-11
    10          0.631064     0.0537257     0.0186228      0.128536      0.231012     15         12            1       0.49365
    11          1.334771     0.0628491    0.00912342      0.667002      0.703893     13          0            1      0.228338
    12          2.056124     0.0702972    0.00744809      0.302592      0.326904     10          0            1      0.295256
    13          2.779835     0.0770885    0.00679137      0.182707      0.205459     13          0            1      0.289366
    14          3.515317     0.0836377    0.00654911      0.111431      0.124579     13          0            1      0.232555
    15          4.264224     0.0900514    0.00641374      0.084208      0.090349     12          0            1      0.130022

 ========== Varying R9 net downward from 0.08272 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.766284      0.022663      0.022663      0.066741      0.067777      9          2            1   3.35156e-07
     2          1.522797      0.032426    0.00976299      0.001468      0.013244      7          0            1   1.44354e-07
     3          2.280814     0.0401428    0.00771682     -0.001888      0.008384     14          0            1   4.81179e-08
     4          3.038387      0.046843    0.00670024      0.022417      0.033079     15          2            1   1.28315e-07
     5          3.794203     0.0529369     0.0060939     -0.004626      0.007835     34          4            1    2.1899e-05
     6          4.545902     0.0586488     0.0057119     -0.005932      0.010661     99          0            1   7.29967e-06

 ========== Varying R9 exch upward from 1.161 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.659955      0.288106      0.288106      0.064410      0.172444     10          2            1   3.35156e-07
     2          1.067650      0.383561     0.0954555     -0.015930      0.344660     14          0            1    1.4135e-07
     3          1.421044      0.458139     0.0745782     -0.011339      0.403554     13          0            1   4.71167e-08
     4          1.524349      0.479049     0.0209095     -0.000854      0.060622     12          0        0.221   1.57056e-08
     5          1.593849      0.492889     0.0138403     -0.000397      0.069081      7          0        0.185   1.57056e-08
     6          2.083136      0.587696     0.0948068     -0.018747      0.260257     18          0            1   1.57056e-08
     7          2.491242      0.664117     0.0764212     -0.012921      0.347265     10          0            1   5.23519e-09
     8          2.914805      0.741963     0.0778453     -0.013359      0.331368     11          0            1   1.74506e-09
     9          3.351779      0.821537     0.0795743     -0.013759      0.317559      9          0            1   5.81688e-10
    10          3.759603      0.895651     0.0741143     -0.011654      0.277455      9          0        0.908   1.93896e-10
    11          3.823608      0.907296     0.0116446     -0.000276      0.041280      7          0        0.139   1.93896e-10
    12          4.283625      0.991271     0.0839752     -0.014507      0.293769      9          0            1   1.93896e-10

 ========== Varying R9 exch downward from 1.161 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.002447     0.0100625     0.0100625      0.000440      0.286306     11          0        0.371   4.18945e-08
     2          0.012009     0.0365587     0.0264963      0.002486      0.756319     14          0            1   4.18945e-08
     3          1.080406      0.264606      0.228048      0.480401      0.180296     10          0            1   1.39648e-08
     4          0.025435      0.342456     0.0778497      0.045055      1.868318     41          0            1   1.41845e-08
     5          1.058823      0.509425      0.166969      0.439897      0.118204     18         10            1      0.634605
     6          1.835755      0.559804     0.0503798      0.070436      0.051475     19          0            1      0.634605
     7          2.587871      0.600414     0.0406099      0.291116      0.290911     15          0            1      0.253736
     8          3.341536      0.637371     0.0369569      0.174305      0.169595     10          0            1      0.247874
     9          3.796195      0.658359     0.0209875      0.025427      0.333053      5          0            1      0.195241
    10          4.574669      0.692164     0.0338056      0.141742      0.122920     10          0            1     0.0650802

 ========== Varying R11 net upward from 0.2005 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.018759    0.00239449    0.00239449     -0.006670      0.742863     23          0            1   4.18945e-08
     2          0.088349    0.00482065    0.00242615     -0.006683      0.692018     10          0            1   1.39648e-08
     3          0.194644    0.00727966    0.00245901     -0.006693      0.655304     10          0            1   4.65494e-09
     4          0.324700     0.0102003    0.00292065     -0.008950      0.629282      6          0            1   1.55165e-09
     5          0.457787     0.0131492    0.00294885     -0.008878      0.626326      6          0            1   5.17216e-10
     6          0.594193     0.0161249    0.00297571     -0.008797      0.623089      7          0            1   1.72405e-10
     7          0.731164     0.0190543    0.00292943     -0.007869      0.623452      5          0            1   5.74685e-11
     8          0.872489     0.0220124    0.00295811     -0.007799      0.619168      9          0            1   1.91562e-11
     9          1.018656     0.0249996    0.00298716     -0.007730      0.614395      7          0            1   6.38538e-12
    10          1.170180     0.0280162    0.00301664     -0.007653      0.609115      6          0            1   2.12846e-12
    11          1.328183      0.031063    0.00304681     -0.005388      0.604901     25          1            1   1.41897e-12
    12          1.342550     0.0313461     0.0002831     -0.000064      0.056190      5          0        0.092   4.72991e-13
    13          1.506514     0.0344253    0.00307922     -0.007531      0.596796      7          0            1   4.72991e-13
    14          1.677536     0.0375352    0.00310987     -0.007441      0.589829      5          1            1   3.15328e-13
    15          1.855817     0.0406758    0.00314055     -0.007411      0.582599     12          0            1   1.05109e-13
    16          1.957086     0.0424149    0.00173911     -0.002218      0.317550      5          0        0.548   3.50364e-14
    17          2.150967      0.045658    0.00324313     -0.008083      0.566328      6          0            1   3.50364e-14
    18          2.350279     0.0488794    0.00322144     -0.007266      0.561713      8          0            1   1.16788e-14
    19          2.448730     0.0504307    0.00155126     -0.002006      0.402156      4          0        0.654   3.89293e-15
    20          2.511925      0.051413   0.000982327     -0.000649      0.166834      6          0          0.3   3.89293e-15
    21          2.727726     0.0546919    0.00327891     -0.007172      0.545320      7          0            1   3.89293e-15
    22          2.843138     0.0563995    0.00170761     -0.002033      0.273177      4          0        0.509   1.29764e-15
    23          3.107927     0.0602041    0.00380451      0.066004      0.569418     10          3            1   8.30492e-14
    24          3.351297      0.063571    0.00336694     -0.007038      0.517884      4          0            1    3.5835e-14
    25          3.605949     0.0669717    0.00340076     -0.006991      0.506649      4          0            1    1.1945e-14
    26          3.879935     0.0705023    0.00353052     -0.007049      0.487258      2          0            1   3.98167e-15

 ========== Varying R11 net downward from 0.2005 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.815376     0.0137938     0.0137938      0.164009      0.116573     11          2            1   3.35156e-07
     2          0.996300     0.0153288    0.00153497      0.001960      0.589309     10          0            1   2.71782e-07
     3          1.336924      0.017691    0.00236227      0.171329      0.598772     31          3            1   5.79801e-06
     4          1.355558     0.0178109   0.000119859      0.000012      0.039904      2          0       0.0767   4.80904e-06
     5          1.582641     0.0192049    0.00139398      0.001590      0.460249     12          0        0.894   4.80904e-06
     6          1.867938     0.0208137    0.00160888      0.002228      0.484422      8          0            1   4.80904e-06
     7          2.149919     0.0222809    0.00146716      0.001718      0.487748      8          0            1   1.60301e-06
     8          2.439775     0.0236863    0.00140543      0.001511      0.479854      7          0            1   5.34338e-07
     9          0.630998     0.0250577    0.00137132      0.001412      2.578451     50          0            1   1.78113e-07
    10          1.392431     0.0307158    0.00565814      0.009660      0.006990     12          9            1      0.996078
    11          2.160368     0.0348992    0.00418343      0.019300      0.015262     12          0            1      0.332026
    12          2.932340      0.038372    0.00347276      0.520699      0.510583     17          0            1      0.110675
    13          3.704220     0.0413965    0.00302451      0.363752      0.354265     12          0            1      0.114976
    14          4.473262     0.0441131    0.00271656      0.299746      0.293104     14          0            1      0.114939

 ========== Varying R11 exch upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.743931     0.0057279     0.0057279     -0.015869      0.008480      6          0            1   4.18945e-08
     2          1.416957      0.011145    0.00541707     -0.016149      0.079116     12          0            1   1.39648e-08
     3          2.077744     0.0166841    0.00553918     -0.016157      0.091348      8          0            1   4.65494e-09
     4          2.537160     0.0206775    0.00399335     -0.006859      0.000891      7          0        0.609   1.55165e-09
     5          3.177745     0.0264494    0.00577194     -0.016188      0.111518      9          0            1   1.55165e-09
     6          3.925014      0.033497    0.00704752     -0.018905      0.002118     11          0            1   5.17216e-10

 ========== Varying R11 exch downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R13 net upward from -0.008491 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.160408    0.00197325    0.00197325      0.284603      0.239991     12          0        0.173   4.18945e-08
     2          0.797979     0.0131762     0.0112029      0.745238      0.868149     20          6            1     0.0013728
     3          1.219520     0.0202743    0.00709817      0.053670      0.397700     16          0            1    0.00244059
     4          1.905600     0.0304274      0.010153     -0.008784      0.070741     12          1            1    0.00169598
     5          2.073171     0.0327284    0.00230108     -0.002211      0.005895      8          0        0.249   0.000565327
     6          2.108689     0.0332418   0.000513363     -0.000107      0.003800      6          0       0.0569   0.000565327
     7          2.842331     0.0422167    0.00897491     -0.030800      0.003799      4          0            1   0.000565327
     8          3.585654     0.0503117    0.00809498     -0.021777      0.003185      8          0            1   0.000188442
     9          4.335849      0.057677    0.00736532     -0.016021      0.002073     10          0            1   6.28141e-05

 ========== Varying R13 net downward from -0.008491 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.001356   0.000119383   0.000119383     -0.000690      0.766244     11          0            1   4.18945e-08
     2          0.020562   0.000269158   0.000149775     -0.004654      0.744422     17          0            1   1.39648e-08
     3          0.039074   0.000358152   8.89939e-05     -0.001587      0.440203     12          0        0.599   4.65494e-09
     4          0.041126   0.000366802   8.65005e-06     -0.000015      0.042401      6          0       0.0579   4.65494e-09
     5          0.103108   0.000566508   0.000199706     -0.011564      0.694733     10          0            1   4.65494e-09
     6          0.167346   0.000717734   0.000151226     -0.004489      0.699565     11          0            1   1.55165e-09
     7          0.208368   0.000799794   8.20599e-05     -0.001352      0.365848     11          0        0.532   5.17216e-10
     8          0.284050   0.000932864    0.00013307     -0.003501      0.689109     15          0            1   5.17216e-10
     9          0.411810    0.00112332   0.000190455     -0.007901      0.632631     13          0            1   1.72405e-10
    10          0.490196    0.00122605   0.000102734     -0.002845      0.258005      9          0        0.442   5.74685e-11
    11          0.618950    0.00137893   0.000152878     -0.003153      0.636385      9          0            1   5.74685e-11
    12          0.768958    0.00153887   0.000159943     -0.004582      0.613702     12          0            1   1.91562e-11
    13          0.959342    0.00172169   0.000182813     -0.004594      0.573313     10          0            1   6.38538e-12
    14          1.164393    0.00190007   0.000178381     -0.006857      0.556384      9          0            1   2.12846e-12
    15          1.261745    0.00197914   7.90723e-05      0.069917      0.304297      6          0        0.432   7.09487e-13
    16          1.495779    0.00215948   0.000180335     -0.006787      0.527472     12          0            1   7.09487e-13
    17          1.605124    0.00223894   7.94623e-05     -0.001294      0.224227     10          0        0.436   2.36496e-13
    18          1.870700    0.00242197   0.000183029     -0.006780      0.495936     11          0            1   2.36496e-13
    19          2.158310    0.00260695    0.00018498     -0.006780      0.473901     11          0            1   7.88319e-14
    20          2.346029    0.00272153    0.00011458     -0.002547      0.280330      9          0        0.613   2.62773e-14
    21          2.670211    0.00290975   0.000188227     -0.006475      0.437635     10          1            1   5.25546e-14
    22          2.743989    0.00295114   4.13884e-05     -0.000322      0.091977      6          0        0.216   1.75182e-14
    23          3.093149    0.00314032   0.000189176     -0.006750      0.412382      9          0            1   1.75182e-14
    24          3.442501    0.00332004   0.000179718     -0.005275      0.413665     12          2            1   4.67152e-14
    25          3.513174    0.00335535    3.5314e-05     -0.000154      0.087398     10          0        0.206   1.55717e-14
    26          4.154499    0.00366237    0.00030702     -0.003603      0.000396     11          0        0.847   1.55717e-14

 ========== Varying R13 exch upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.358237    0.00687109    0.00687109     -0.041643      0.368282     18          2            1   3.35156e-07
     2          0.811789      0.015101    0.00822991     -0.035444      0.279295     12          0            1   1.11719e-07
     3          0.859115      0.015928   0.000827008     -0.001762      0.257426     11          0          0.4   3.72396e-08
     4          1.464537     0.0259146    0.00998657     -0.052876      0.109983     16          0            1   3.72396e-08
     5          1.948203     0.0331225    0.00720791     -0.020926      0.263697     11          0            1   1.24132e-08
     6          2.446540     0.0399111    0.00678866     -0.017034      0.252921     13          0            1   4.13773e-09
     7          3.184776     0.0489718    0.00906067     -0.027209      0.002847      5          0            1   1.37924e-09
     8          3.931413      0.057167    0.00819519     -0.019578      0.002076     11          0            1   4.59748e-10

 ========== Varying R13 exch downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R15 upward from 0.04668 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.003686   0.000298452   0.000298452     -0.006053      0.758522     16          0            1   4.18945e-08
     2          0.047834   0.000822303    0.00052385      0.005369      0.729499     13          5            1      5.72e-05
     3          0.121948    0.00129214   0.000469837     -0.006280      0.687898     16          0            1   1.90667e-05
     4          0.228056    0.00176421   0.000472068     -0.005916      0.656269     14          0            1   6.35555e-06
     5          0.357595    0.00221343   0.000449222     -0.005596      0.632726     18          0            1   2.11852e-06
     6          0.479366    0.00256909   0.000355664     -0.005462      0.640913     17          0            1   7.06172e-07
     7          0.669151    0.00304746   0.000478363     -0.005060      0.573446     14          0            1   2.35391e-07
     8          0.889263    0.00352852   0.000481066      0.025073      0.573228     18          3            1   5.02167e-06
     9          1.111278    0.00396079   0.000432272     -0.004571      0.541419     16          0            1   1.67389e-06
    10          1.387149    0.00444635   0.000485556     -0.004343      0.488077     16          0            1   5.57963e-07
    11          1.399880    0.00446732   2.09721e-05      0.006153      0.034297     12          0       0.0539   1.85988e-07
    12          1.411374    0.00448648   1.91607e-05      0.003245      0.032779     10          0       0.0539   1.85988e-07
    13          1.753900    0.00502986   0.000543377     -0.007427      0.418338      8          0            1   1.85988e-07
    14          1.982808    0.00536618   0.000336324     -0.004216      0.535142     15          0            1   6.19959e-08
    15          2.239775    0.00572429   0.000358108     -0.006432      0.504887      8          0            1   2.06653e-08
    16          2.660371    0.00627379   0.000549499     -0.006578      0.341117      8          0            1   6.88844e-09
    17          2.954528    0.00663617   0.000362376     -0.005996      0.468138      8          0            1   2.29615e-09
    18          3.429112    0.00719014   0.000553969     -0.006051      0.287657      8          0            1   7.65382e-10
    19          3.935240    0.00774683   0.000556694     -0.005771      0.256392      8          0            1   2.55127e-10

 ========== Varying R15 downward from 0.04668 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.061810   0.000911245   0.000911245     -0.000978      0.705499     17          0            1   4.18945e-08
     2          0.249220    0.00177324   0.000861995     -0.000163      0.580716     12          0            1   1.39648e-08
     3          0.323156    0.00185514   8.18988e-05     -0.000001      0.000000      0          0       0.0963   4.65494e-09
     4          0.596905    0.00270553   0.000850393     -0.000119      0.494423     12          0            1   4.65494e-09
     5          0.782867    0.00308373   0.000378195     -0.000013      0.160800     12          0        0.452   1.55165e-09
     6          1.129457    0.00367786   0.000594136     -0.000022      0.201727     13          0        0.714   1.55165e-09
     7          1.724330    0.00450181   0.000823948     -0.000012      0.173407      9          0            1   1.55165e-09
     8          0.339455    0.00531419   0.000812382      0.000028      2.153195     51          0            1   5.17216e-10
     9          0.675347    0.00608866   0.000774468     -0.000368      0.432031     20          0            1   1.72405e-10
    10          1.131292    0.00685231   0.000763647     -0.000342      0.312005     27          0            1   5.74685e-11
    11          1.706308    0.00760527   0.000752962     -0.000313      0.192963     29          0            1   1.91562e-11
    12          2.049802    0.00799088   0.000385607     -0.000082      0.054744     36          0        0.519   6.38538e-12
    13          2.785704    0.00872972   0.000738847     -0.000250      0.032139     20          0            1   6.38538e-12
    14          2.857233    0.00879846   6.87404e-05     -0.000003      0.000000      0          0       0.0932   2.12846e-12
    15          2.962392    0.00889954   0.000101079     -0.000007      0.000000      0          0        0.137   2.12846e-12
    16          3.705959    0.00963763   0.000738093     -0.000224      0.024500     11          0            1   2.12846e-12
    17          4.454768     0.0103806   0.000742964      0.000062      0.019545     11          0            1   7.09487e-13

 ========== Varying R17 net upward from 0.02508 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.014921   0.000281914   0.000281914     -0.003150      0.750218      6          0            1   4.18945e-08
     2          0.072288   0.000578414     0.0002965      0.000339      0.711263      6          0            1   1.39648e-08
     3          0.163089   0.000861896   0.000283482     -0.003253      0.674237      4          0            1   4.65494e-09
     4          0.287919    0.00114625   0.000284355     -0.003246      0.640216      3          0            1   1.55165e-09
     5          0.454289    0.00144543   0.000299177      0.000268      0.602189      4          0            1   5.17216e-10
     6          0.655868     0.0017455   0.000300073      0.000260      0.566973      4          0            1   1.72405e-10
     7          0.879645    0.00203217   0.000286668     -0.003327      0.541188      3          0            1   5.74685e-11
     8          1.133353    0.00231954   0.000287369     -0.003353      0.511230      3          0            1   1.91562e-11
     9          1.416025    0.00260758   0.000288043     -0.003378      0.482242      3          0            1   6.38538e-12
    10          1.726696    0.00289627   0.000288694     -0.003399      0.454221      3          0            1   2.12846e-12
    11          2.064424    0.00318559   0.000289318     -0.003417      0.427147      3          0            1   7.09487e-13
    12          2.428274     0.0034755    0.00028991     -0.003443      0.400998      3          0            1   2.36496e-13
    13          2.661252    0.00365159   0.000176089     -0.001275      0.231285      3          0        0.606   7.88319e-14
    14          3.065150    0.00394238   0.000290785     -0.003492      0.360902      4          0            1   7.88319e-14
    15          3.492688    0.00423367   0.000291295     -0.003515      0.337238      3          0            1   2.62773e-14
    16          3.943048    0.00452548   0.000291813     -0.003539      0.314392      3          0            1    8.7591e-15

 ========== Varying R17 net downward from 0.02508 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.049944   0.000472349   0.000472349     -0.001114      0.717234      7          0            1   4.18945e-08
     2          0.218638   0.000954438   0.000482089     -0.000855      0.598738      4          0            1   1.39648e-08
     3          0.504595    0.00142903   0.000474594     -0.000840      0.481493      5          0            1   4.65494e-09
     4          0.909570    0.00189637   0.000467339     -0.000770      0.362546      3          0            1   1.55165e-09
     5          1.434807    0.00235636   0.000459985     -0.000699      0.242355      5          0            1   5.17216e-10
     6          2.081841    0.00280918   0.000452821     -0.000633      0.120624      3          0            1   1.72405e-10
     7          2.836549    0.00325486   0.000445678     -0.000569      0.013014      2          0            1   5.74685e-11
     8          3.096652     0.0034049   0.000150046     -0.000061      0.000097      1          0        0.339   1.91562e-11
     9          3.863004    0.00384779   0.000442887     -0.000544      0.001396      2          0            1   1.91562e-11

 ========== Varying R17 exch upward from 0.004733 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000008        48.638        48.638      0.000007      0.000000      0          0        0.453   4.18945e-08
     2          0.000017        208354        208305     -0.000000      0.000000      0          0            1   4.18945e-08
     3          0.000028        713394        505040      0.000001      0.000000      0          0            1   1.39648e-08
     4         -0.000011   1.58818e+06        874782     -0.000001      0.000000      0          0            1   4.65494e-09
     5         -0.000044   3.10334e+06   1.51517e+06      0.000003      0.000000      0          0            1   1.55165e-09
     6         -0.000037   3.49112e+06        387781     -0.000002      0.000000      0          0        0.148   5.17216e-10
     7         -0.000027   6.03771e+06   2.54658e+06     -0.000004      0.000000      0          0            1   5.17216e-10
     8         -0.000035   6.70387e+06        666162      0.000001      0.000000      0          0        0.154   1.72405e-10
     9          0.000082         1e+07   3.29613e+06     -0.000003      0.000000      0          0        0.725   1.72405e-10
    10          1.050188         1e+07    0.00203149      0.369035      0.076075      5          2            1   1.37924e-09
    11          1.592394         1e+07   0.000444321     -0.000772      0.225315      5          0            1    1.3788e-09
    12          2.250134         1e+07    0.00043796     -0.000679      0.109873      3          0            1   4.59601e-10
    13          0.642429         1e+07   0.000431601     -0.000597      2.375399     54          0            1     1.532e-10
    14          1.065199         1e+07   0.000410967     -0.000935      0.344587      9          0            1   5.10668e-11
    15          1.418208         1e+07   0.000278281     -0.000425      0.174159      9          0        0.687   1.70223e-11
    16          2.025761         1e+07   0.000401076     -0.000803      0.159935     12          0            1   1.70223e-11
    17          2.741774         1e+07   0.000395637     -0.000656      0.051623     14          0            1   5.67408e-12
    18          3.504562         1e+07    0.00040067     -0.000452      0.005052     13          0            1   1.89136e-12
    19          3.858907         1e+07   0.000186127     -0.000147      0.000006      9          0        0.462   6.30454e-13

 ========== Varying R17 exch downward from 0.004733 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000000    0.00473281    0.00473281      0.000000      0.000000      0          0     4.41e-05   4.18945e-08

 ========== Varying R19 upward from 4e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.634659   0.000527786   0.000527786     -0.002982      0.130648     13          0            1   4.18945e-08
     2          1.301069    0.00107713   0.000549341      0.000484      0.102366     12          0            1   1.39648e-08
     3          1.901398    0.00157058   0.000493449      0.000283      0.095203     12          0        0.905   4.65494e-09
     4          1.941211    0.00159864   2.80596e-05      0.000001      0.000000      0          0       0.0519   4.65494e-09
     5          2.595588    0.00213959    0.00054095      0.000349      0.114264     12          0            1   4.65494e-09
     6          3.251758    0.00267588   0.000536297      0.000354      0.112476      9          0            1   1.55165e-09
     7          3.904337    0.00320776   0.000531878      0.000358      0.116071      9          0            1   5.17216e-10

 ========== Varying R19 downward from 4e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.000204   4.11593e-14   4.11593e-14      0.001971      0.011685      6          0            1   4.18945e-08
     2         -0.001496   6.87726e-13   6.46567e-13      0.022378      0.092761      4          0       0.0996   1.39648e-08
     3          0.007413   2.04595e-10   2.03907e-10     12.428540     10.116547      2          0            1   1.39648e-08
     4         -0.003993   2.75984e-10   7.13893e-11   1165.888370   1165.899802     20          0        0.462   2.79297e-08
     5          0.007197    3.1154e-10   3.55562e-11     -0.000001      0.000000      0          0            1   2.79297e-08
     6         -0.003992   3.55767e-10   4.42268e-11     -0.000001      0.000000      0          0        0.392   9.30989e-09
     7         -0.003991   3.67192e-10   1.14252e-11      0.000000      0.000000      0          0        0.252   9.30989e-09
     8         -0.003991   3.80637e-10   1.34446e-11      0.000000      0.000000      0          0            1   9.30989e-09
     9         -0.003993   4.49072e-10   6.84355e-11      0.004329      0.000194      4          0            1    3.1033e-09
    10         -0.004904   4.61906e-10   1.28339e-11      0.000001      0.000000      0          0        0.223   1.03443e-09
    11         -0.007855   5.02494e-10   4.05876e-11      0.009891      0.029791      2          0            1   1.03443e-09
    12         40.900934   7.36921e-10   2.34427e-10    404.180634    363.274837     30          0        0.198   3.44811e-10

 ========== Varying R21 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.648225   0.000539169   0.000539169     -0.000080      0.119984     16          0            1   4.18945e-08
     2          1.323363    0.00109556   0.000556396     -0.000093      0.093059     12          0            1   1.39648e-08
     3          1.995422    0.00164782   0.000552257     -0.000133      0.096100     11          0            1   4.65494e-09
     4          2.653328    0.00218691   0.000539088     -0.000424      0.109962      9          0            1   1.55165e-09
     5          3.180299    0.00261762   0.000430709     -0.000281      0.088405     11          0        0.802   5.17216e-10
     6          3.474296    0.00285749   0.000239874     -0.000090      0.049355      8          0        0.448   5.17216e-10
     7          3.623970    0.00297898   0.000121486     -0.000023      0.024382      7          0        0.227   5.17216e-10
     8          4.280154    0.00351346   0.000534485     -0.000453      0.111655     11          0            1   5.17216e-10

 ========== Varying R21 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R22 net upward from 0.02508 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.006092   0.000171653   0.000171653     -0.002051      0.760108      4          0            1   4.18945e-08
     2          0.044723   0.000462219   0.000290566      0.003707      0.733368      8          0            1   1.39648e-08
     3          0.124036    0.00075342   0.000291201      0.005666      0.694645      9          0            1   4.65494e-09
     4          0.239520    0.00104522   0.000291795      0.010567      0.663374     11          0            1   1.55165e-09
     5          0.390081    0.00133763   0.000292411      0.019393      0.637130     10          0            1   5.17216e-10
     6          0.574559    0.00163063   0.000293001     -0.000368      0.583446      7          0            1   1.72405e-10
     7          0.791947     0.0019243   0.000293675      0.045633      0.596537     13          0            1   5.74685e-11
     8          0.825133    0.00196606   4.17532e-05      0.000020      0.075570      6          0        0.142   1.91562e-11
     9          1.078742    0.00226049   0.000294439      0.077972      0.592655     13          0            1   1.91562e-11
    10          1.364256    0.00255561   0.000295111      0.126568      0.609345     14          0            1   9.45718e-12
    11          1.677153    0.00285139   0.000295782     -0.000375      0.455019      8          0            1   6.60614e-12
    12          2.019288     0.0031479   0.000296512     -0.000371      0.425786      7          0            1   2.20205e-12
    13          2.368437    0.00342889   0.000280992      0.247074      0.666217     14          0            1   7.34016e-13
    14          2.763752    0.00372684   0.000297949     -0.000372      0.372605      7          0            1   7.00669e-13
    15          3.162314    0.00400988   0.000283039     -0.000321      0.369408      6          0            1   2.33556e-13
    16          3.607114    0.00430929   0.000299409     -0.000403      0.323089      9          0            1   7.78521e-14
    17          3.683809    0.00435903   4.97431e-05     -0.000011      0.050342      4          0        0.166   2.59507e-14
    18          4.132323     0.0046443   0.000285269     -0.000339      0.319440      6          0            1   2.59507e-14

 ========== Varying R22 net downward from 0.02508 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.054182   0.000489332   0.000489332     -0.000975      0.713130      6          0            1   4.18945e-08
     2          0.226639   0.000971207   0.000481875     -0.000854      0.594977      4          0            1   1.39648e-08
     3          0.516897    0.00144574   0.000474528     -0.000603      0.477430      5          0            1   4.65494e-09
     4          0.911163    0.00189815   0.000452415     -0.000863      0.373162      4          0            1   1.55165e-09
     5          1.419294    0.00234434    0.00044619     -0.000786      0.259375      4          0            1   5.17216e-10
     6          2.042453    0.00278411    0.00043977     -0.000707      0.144426      4          0            1   1.72405e-10
     7          0.534629    0.00321758    0.00043347     -0.000633      2.275483     55          0            1   5.74685e-11
     8          0.923207    0.00363034   0.000412761     -0.000952      0.378761     17          0            1   1.91562e-11
     9          1.421807    0.00403717    0.00040683     -0.000876      0.268816     16          0            1   6.38538e-12
    10          2.030021     0.0044382   0.000401029     -0.000778      0.159300     13          0            1   2.12846e-12
    11          2.095982    0.00447219   3.39925e-05     -0.000005      0.000000      0          0       0.0859   7.09487e-13
    12          2.811660    0.00486773   0.000395536     -0.000655      0.051959     25          0            1   7.09487e-13
    13          3.043850    0.00499012   0.000122395      0.000312      0.001964     10          1        0.305   4.72991e-13
    14          3.809306    0.00539191   0.000401786     -0.000271      0.002566     13          0            1   4.72991e-13
    15          4.574900    0.00579544   0.000403533     -0.000218      0.002480     12          0            1   1.57664e-13

 ========== Varying R22 exch upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.002023       70.4646       70.4646      0.000000      0.000000      0          0        0.657   4.18945e-08
     2         -0.001889        301924        301854      0.000274      0.004196     12          0            1   4.18945e-08
     3         -0.019519        359954       58030.1      0.001737      0.019265      7          0            1   1.39648e-08
     4         -0.019237   1.63719e+06   1.27724e+06      0.000005      0.000000      0          0            1   4.65494e-09
     5         -0.031213   1.74201e+06        104814      0.162682      0.175728     23          1       0.0668    3.1033e-09
     6         -0.151313   1.99268e+06        250669      0.000117      0.120098      8          0            1    3.1033e-09
     7         -0.151314   2.08827e+06       95594.2      0.000010      0.000007      8          2         0.25   8.27546e-09
     8         -0.162149   3.15508e+06   1.06681e+06      0.000145      0.010547      5          0            1   8.27546e-09
     9         -0.162091   3.19068e+06       35594.5      0.000109      0.000007      1          1            1   5.51697e-09
    10         -0.162109   3.19688e+06       6203.16     -0.000006      0.000000      0          0        0.112   1.83899e-09
    11         -0.267974   5.40117e+06   2.20429e+06      0.000013      0.105885     14          0            1   1.83899e-09
    12         -0.272393   5.43473e+06       33565.5      0.005030      0.008463     12          0            1   6.12997e-10
    13         -0.268535   8.83919e+06   3.40446e+06      0.006335      0.186044      8          0            1   2.04332e-10
    14         -0.429157         1e+07   1.16081e+06      0.000052      0.161259      5          0        0.289   6.81108e-11
    15         -0.362491         1e+07   0.000486376     -0.000946      0.700681      2          0            1   6.81108e-11
    16         -0.216799         1e+07   0.000479316     -0.000902      0.621698      4          0            1   2.27036e-11
    17         -0.101995         1e+07   0.000241993     -0.000221      0.275633      4          0        0.509   7.56786e-12
    18         -0.035652         1e+07   0.000116422     -0.000049      0.122975      3          0        0.247   7.56786e-12
    19         -0.005504         1e+07   4.90951e-05     -0.000019      0.049965      2          0        0.104   7.56786e-12
    20          0.350643         1e+07   0.000469434     -0.000800      0.411345      3          0            1   7.56786e-12
    21          0.508953         1e+07   0.000168232     -0.000096      0.121092      2          0        0.364   2.52262e-12
    22          1.027799         1e+07    0.00045964     -0.000700      0.248746      4          0            1   2.52262e-12
    23          1.667477         1e+07   0.000452332     -0.000631      0.127982      3          0            1   8.40874e-13
    24          0.131047         1e+07   0.000445204     -0.000560      2.304162     46          0            1   2.80291e-13
    25          0.534551         1e+07   0.000423216     -0.000932      0.363855     14          0            1   9.34304e-14
    26          1.053160         1e+07   0.000416659     -0.000860      0.248823     21          0            1   3.11435e-14
    27          1.686135         1e+07   0.000410283     -0.000681      0.134636     24          0            1   1.03812e-14
    28          2.427616         1e+07   0.000404493     -0.000483      0.026328     33          0            1   3.46039e-15
    29          3.194228         1e+07   0.000401044     -0.000541      0.001139     10          0            1   1.15346e-15
    30          3.959829         1e+07   0.000402081     -0.000430      0.002261      9          0            1   3.84487e-16

 ========== Varying R22 exch downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R24 net upward from 0.05015 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.003063   0.000343305   0.000343305     -0.002051      0.763137      5          0            1   4.18945e-08
     2          0.024196   0.000700326    0.00035702     -0.007854      0.739300      8          0            1   1.39648e-08
     3          0.025706   0.000718506   1.81805e-05      0.026235      0.063369     13          0       0.0507   4.65494e-09
     4          0.090738    0.00129237   0.000573864      0.221901      0.925141     13          1            1   9.30989e-09
     5          0.148793     0.0016477   0.000355332      0.002215      0.712436     17          0            1   8.60823e-09
     6          0.220077    0.00200287   0.000355167     -0.005768      0.691239     16          0            1   2.86941e-09
     7          0.357630    0.00255931   0.000556437     -0.005463      0.625276      8          0            1    9.5647e-10
     8          0.526939    0.00311946   0.000560151      0.235798      0.834750     19          5            1    1.3059e-06
     9          0.560878    0.00322105   0.000101597      0.009846      0.112089     11          0         0.18   1.23065e-06
    10          0.597442    0.00332733   0.000106278      0.007476      0.113215     12          0        0.188   1.23065e-06
    11          0.808918    0.00389139   0.000564056     -0.004877      0.551939      3          0            1   1.23065e-06
    12          0.955957     0.0042445   0.000353113     -0.001787      0.325052      3          0        0.622   4.10215e-07
    13          1.215959    0.00481367   0.000569168     -0.004556      0.503733      7          0            1   4.10215e-07
    14          1.505117    0.00538613   0.000572467     -0.004401      0.474733      6          0            1   1.36738e-07
    15          1.520249    0.00541471   2.85804e-05     -0.000022      0.040018      5          0       0.0724   4.55795e-08
    16          1.736182    0.00580959    0.00039487     -0.004283      0.548054      4          0            1   4.55795e-08
    17          2.074620    0.00638773   0.000578143     -0.004176      0.425679      6          0            1   1.51932e-08
    18          2.439587    0.00696848   0.000580748     -0.004087      0.399238      5          0            1   5.06439e-09
    19          2.703892    0.00736627   0.000397791     -0.003849      0.500137      5          0            1   1.68813e-09
    20          3.113401     0.0079522    0.00058593     -0.003980      0.354803      5          0            1   5.62709e-10
    21          3.548194    0.00854094   0.000588743     -0.003944      0.329554      5          0            1    1.8757e-10
    22          4.007676    0.00913262   0.000591679     -0.003927      0.304881      6          0            1   6.25233e-11

 ========== Varying R24 net downward from 0.05015 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.053840   0.000978665   0.000978665     -0.000975      0.713471      6          0            1   4.18945e-08
     2          0.319935    0.00229407     0.0013154     -0.004464      0.497724      6          0            1   1.39648e-08
     3          0.374923    0.00247661   0.000182538     -0.000094      0.049210      3          0        0.136   4.65494e-09
     4          0.723547     0.0034172   0.000940595     -0.000798      0.418868      4          0            1   4.65494e-09
     5          1.250983     0.0047511     0.0013339     -0.005059      0.235794      7          0            1   1.55165e-09
     6          1.775154    0.00608966    0.00133856     -0.005108      0.239012      6          0            1   5.17216e-10
     7          1.869435    0.00633176     0.0002421     -0.000167      0.043647      4          0         0.18   1.72405e-10
     8          2.390800    0.00767796     0.0013462     -0.005170      0.241756      5          0            1   1.72405e-10
     9          2.436667    0.00779695   0.000118991     -0.000040      0.021564      4          0       0.0879   5.74685e-11
    10          2.955567    0.00915029    0.00135333     -0.005225      0.244167      4          0            1   5.74685e-11
    11          3.472540     0.0105112    0.00136088     -0.005265      0.246053      6          0            1   1.91562e-11
    12          3.524190     0.0106478   0.000136594     -0.000052      0.024925      5          0       0.0999   6.38538e-12
    13          4.038890      0.012016    0.00136819     -0.005333      0.248258      5          0            1   6.38538e-12

 ========== Varying R24 exch upward from 0.08142 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.003326       115.092       115.092      0.015959      0.020700      9          0        0.389   4.18945e-08
     2         -0.011726        116516        116401      0.000471      0.008475      4          1            1    8.3789e-08
     3         -0.011743        253535        137019      0.000005      0.000000      0          0            1   2.79297e-08
     4         -0.011692        326996         73461      0.000000      0.000000      0          0            1   9.30989e-09
     5         -0.118469        569477        242481      0.000309      0.106906     11          0            1    3.1033e-09
     6         -0.118413        716316        146838     -0.000000      0.000000      0          1            1   2.06886e-09
     7         -0.655403   3.05888e+06   2.34256e+06     -0.000013      0.540361     13          0            1   6.89621e-10
     8         -0.655394   3.16996e+06        111077      0.000066      0.000029      6          0        0.124   2.29874e-10
     9         -0.875367   3.40652e+06        236567      0.000036      0.219791     15          0            1   2.29874e-10
    10         -0.882977   3.43335e+06       26832.2     -0.000057      0.007468      6          0        0.384   7.66246e-11
    11         -0.892071   7.26641e+06   3.83306e+06     -0.000015      0.009094      7          0            1   7.66246e-11
    12         -0.887632   7.36511e+06       98697.7      0.014207      0.000991     11          0            1   2.55415e-11
    13         -0.892983   7.37909e+06       13978.6     -0.000830      0.004529      5          0        0.129   8.51384e-12
    14         -0.849935   7.50723e+06        128136      0.271000      0.167524      9          1            1   1.70277e-11
    15         -0.852474         1e+07   2.49277e+06      0.133473      0.108294      3          0       0.0645    5.6759e-12
    16         -0.080167         1e+07   0.000950981      0.004015      0.000000      8          0            1    5.6759e-12
    17         -0.369375         1e+07    0.00125361      0.340442      1.397941     12          0            1   1.89197e-12
    18          0.217540         1e+07    0.00164295      0.228620      0.409997     12          0            1   1.88918e-12
    19          0.871934         1e+07    0.00163684      0.234608      0.348506     14          0            1   1.76381e-12
    20          1.528486         1e+07    0.00165356      0.291085      0.402825     12          0            1   1.65977e-12
    21          2.092262         1e+07    0.00144504      0.207232      0.411747     11          0            1   1.63617e-12
    22          2.476032         1e+07    0.00130638     -0.003953      0.380569      8          0            1   1.47635e-12
    23          3.112738         1e+07    0.00166597     -0.003248      0.002881      2          0        0.837   4.92117e-13
    24          3.286216         1e+07   0.000439219     -0.000239      0.080211      4          0        0.331   4.92117e-13
    25          3.787896         1e+07    0.00132941     -0.002034      0.264578      3          0            1   4.92117e-13
    26          4.286307         1e+07    0.00133203     -0.002012      0.267869      3          0            1   1.64039e-13

 ========== Varying R24 exch downward from 0.08142 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.003998     0.0814216     0.0814216      0.000018      0.004027      3          0     0.000282   4.18945e-08

 ========== Varying R27 upward from 1.346 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.043613     0.0152597     0.0152597     -0.007678      0.716995      8          0            1   4.18945e-08
     2          0.166529     0.0289477      0.013688     -0.006213      0.639160      4          0            1   1.39648e-08
     3          0.345298     0.0414723     0.0125246     -0.005175      0.584348      3          0            1   4.65494e-09
     4          0.454125     0.0475138     0.0060415     -0.001197      0.282313      3          0        0.519   1.55165e-09
     5          0.695825     0.0587642     0.0112504     -0.004134      0.522458      5          0            1   1.55165e-09
     6          0.969688     0.0693595     0.0105953     -0.002723      0.491706      6          0            1   5.17216e-10
     7          1.026175     0.0699439    0.00058444     -0.000006      0.000000      0          0       0.0746   1.72405e-10
     8          1.218824     0.0777652    0.00782127     -0.001129      0.574514      9          0            1   1.72405e-10
     9          1.256814     0.0781458   0.000380581     -0.000003      0.000000      0          0       0.0501   5.74685e-11
    10          1.480712     0.0857276     0.0075818     -0.001049      0.543344      7          0            1   5.74685e-11
    11          1.508501     0.0865303   0.000802732     -0.000012      0.054826      6          0        0.109   1.91562e-11
    12          1.552389     0.0869558   0.000425454     -0.000003      0.000000      0          0       0.0579   1.91562e-11
    13          1.561138      0.088031    0.00107526     -0.000021      0.102411      6          0        0.146   1.91562e-11
    14          1.830394      0.095343    0.00731199     -0.000962      0.498073     10          0            1   1.91562e-11
    15          2.113193       0.10247     0.0071273     -0.000905      0.484589      9          0            1   6.38538e-12
    16          2.408515      0.109427    0.00695647     -0.000854      0.472115      7          0            1   2.12846e-12
    17          2.791201      0.117843    0.00841582     -0.002239      0.383367     10          0            1   7.09487e-13
    18          3.187735      0.125983    0.00814001     -0.002086      0.369672      7          0            1   2.36496e-13
    19          3.596806      0.133873    0.00789049     -0.001952      0.357269      5          0            1   7.88319e-14
    20          4.017562      0.141543    0.00767025      0.000218      0.347750      6          0            1   2.62773e-14

 ========== Varying R27 downward from 1.346 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.262663      0.036046      0.036046     -0.027386      0.478152      9          2            1   3.35156e-07
     2          0.822668     0.0634374     0.0273914     -0.011751      0.196536     24          0            1   1.11719e-07
     3          1.060992     0.0719722    0.00853484      0.000054      0.529965      5          0            1   3.72396e-08
     4          1.317601     0.0801423    0.00817009      0.000036      0.511701      5          0            1   1.24132e-08
     5          1.592638     0.0880523    0.00790999      0.000057      0.493306      5          0            1   4.13773e-09
     6          1.709394     0.0892353    0.00118302      0.000002      0.000000      0          0        0.154   1.37924e-09
     7          1.931204     0.0968961    0.00766077      0.000088      0.546569      5          0            1   1.37924e-09
     8          2.202537      0.103432    0.00653594      0.000083      0.000005      6          0        0.373   4.59748e-10
     9          2.914995      0.118872     0.0154397     -0.003187      0.052647      9          0            1   4.59748e-10
    10          3.561971      0.131305     0.0124331      0.000390      0.000022      5          0        0.849   1.53249e-10
    11          4.330731      0.144672     0.0133671      0.000500      0.000031      5          0            1   1.53249e-10

 ========== Varying R29 upward from 0.02508 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.005715   0.000171653   0.000171653     -0.002051      0.760485      6          0            1   4.18945e-08
     2          0.026399   0.000346788   0.000175135     -0.002477      0.745112     17          0            1   1.39648e-08
     3          0.060306   0.000527677   0.000180889     -0.006044      0.728322      8          2            1   3.72396e-08
     4          0.110125   0.000709437   0.000181761     -0.007511      0.710953      4          0            1   1.24132e-08
     5          0.219041   0.000998605   0.000289168     -0.008265      0.651111      4          0            1   4.13773e-09
     6          0.363009    0.00128908    0.00029047     -0.007835      0.616488      4          0            1   1.37924e-09
     7          0.533347    0.00156916   0.000280087     -0.005182      0.592772      3          0            1   4.59748e-10
     8          0.664126    0.00175683   0.000187667     -0.006514      0.630998      3          0            1   1.53249e-10
     9          0.809144    0.00194585   0.000189023     -0.006367      0.616907      4          0            1   5.10831e-11
    10          1.061208    0.00224103    0.00029518     -0.005939      0.510285      6          1            1   3.40554e-11
    11          1.172038    0.00236074    0.00011971     -0.001789      0.374454      3          2        0.636   9.08143e-11
    12          1.468203    0.00265802   0.000297274     -0.006209      0.465917      6          2            1   7.26515e-10
    13          1.679577    0.00285414    0.00019612     -0.005631      0.551286      4          0            1   2.42172e-10
    14          1.899931    0.00304746   0.000193326     -0.004092      0.543844      3          0            1   8.07239e-11
    15          2.264831     0.0033478   0.000300343     -0.005664      0.397727      6          3            1   1.72211e-09
    16          2.525254    0.00354972   0.000201913     -0.005140      0.502728      5          0            1   5.74036e-10
    17          2.793862    0.00374903   0.000199308     -0.003814      0.495870      5          0            1   1.91345e-10
    18          3.082275    0.00395444    0.00020541     -0.002419      0.477457      4          0            1   6.37818e-11
    19          3.384784    0.00416168   0.000207244     -0.004665      0.461116      4          2            1   1.70085e-10
    20          3.850795    0.00446694    0.00030526     -0.005039      0.297241      5          2            1    4.5356e-10

 ========== Varying R29 downward from 0.02508 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.053752   0.000489332   0.000489332     -0.000975      0.713560      7          0            1   4.18945e-08
     2          0.226534   0.000971134   0.000481802     -0.000852      0.594655      4          0            1   1.39648e-08
     3          0.505325    0.00143013   0.000458995     -0.000947      0.488553      5          0            1   4.65494e-09
     4          0.713569    0.00168823   0.000258104     -0.000281      0.229258      3          0         0.57   1.55165e-09
     5          1.168592    0.00213738    0.00044915     -0.000823      0.312447      4          0            1   1.55165e-09
     6          1.737922     0.0025801   0.000442715     -0.000743      0.198219      4          0            1   5.17216e-10
     7          2.423054     0.0030165   0.000436398     -0.000667      0.082493     10          0            1   1.72405e-10
     8          2.563015    0.00309475    7.8254e-05     -0.000005      0.000000      0          0        0.182   5.74685e-11
     9          2.657584    0.00315272   5.79686e-05     -0.000038      0.009074      3          0        0.135   5.74685e-11
    10          0.869272    0.00357948   0.000426766     -0.001251      2.555353     42          0            1   5.74685e-11
    11          1.354079    0.00398698   0.000407499     -0.000875      0.282610     12          0            1   1.91562e-11
    12          1.948738    0.00438873   0.000401747     -0.000774      0.172858     13          0            1   6.38538e-12
    13          2.654833    0.00478496   0.000396224     -0.000656      0.061540     12          0            1   2.12846e-12
    14          3.735558    0.00533804    0.00055308      0.389346      0.076871     13          0            1   7.09487e-13
    15          4.162870    0.00556407   0.000226037     -0.000155      0.003733     17          0        0.561   7.09489e-13

 ========== Varying R30 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.507610    0.00127224    0.00127224     -0.023465      0.237192     28          0            1   4.18945e-08
     2          1.264909     0.0031903    0.00191806     -0.004516      0.006466      9          0            1   1.39648e-08
     3          2.024510    0.00513832    0.00194802     -0.004982      0.003709     11          0            1   4.65494e-09
     4          2.784216    0.00711437    0.00197605     -0.004998      0.003588     13          0            1   1.55165e-09
     5          3.543881    0.00911832    0.00200394     -0.005008      0.003631     11          0            1   5.17216e-10
     6          4.303705       0.01115    0.00203168     -0.005017      0.003450     11          0            1   1.72405e-10

 ========== Varying R30 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R31 net upward from -0.0216 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.608182    0.00161846    0.00161846     -0.002185      0.157900      9          0            1   4.18945e-08
     2          1.185262    0.00323675    0.00161829     -0.002002      0.189209      9          0            1   1.39648e-08
     3          1.850552    0.00491702    0.00168026     -0.002330      0.100666     11          0            1   4.65494e-09
     4          2.515740    0.00661776    0.00170074     -0.002353      0.100749     13          0            1   1.55165e-09
     5          3.181112    0.00833959    0.00172183     -0.002379      0.100541     10          0            1   5.17216e-10
     6          3.846843     0.0100829     0.0017433     -0.002405      0.100156     10          0            1   1.72405e-10

 ========== Varying R31 net downward from -0.0216 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.740276    0.00151256    0.00151256     -0.005754      0.018002      8          0            1   4.18945e-08
     2          1.367611    0.00207745   0.000564885     -0.013841      0.127110      5          0            1   1.39648e-08
     3          2.035954    0.00255859   0.000481139     -0.009927      0.090014      4          0            1   4.65494e-09
     4          2.730226    0.00298849   0.000429907     -0.005837      0.068164      7          0            1   1.55165e-09
     5          3.490929    0.00340745   0.000418961     -0.006513      0.001076      7          0            1   5.17216e-10
     6          4.252391    0.00378941   0.000381951     -0.005903      0.000924      9          0            1   1.72405e-10

 ========== Varying R31 exch upward from 0.06801 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.080762     0.0023044     0.0023044      0.003165      0.690581     11          0            1   4.18945e-08
     2          0.868757    0.00791598    0.00561157      0.040822      0.021069     10          6            1     0.0004576
     3          1.317268    0.00994719    0.00203122     -0.007666      0.312107     17          0            1   0.000152533
     4          1.731180     0.0115743    0.00162708     -0.008254      0.346065     10          0            1   5.08444e-05
     5          2.166805      0.013135    0.00156072     -0.008855      0.323808      7          0            1   1.69481e-05
     6          2.598647     0.0145742    0.00143926     -0.008863      0.327579      6          0            1   5.64938e-06
     7          2.957846     0.0157097    0.00113548     -0.007201      0.401859      8          0            1   1.88313e-06
     8          3.315063     0.0167948    0.00108505     -0.006990      0.404045      7          0            1   6.27709e-07
     9          3.737501     0.0180315    0.00123668     -0.008086      0.337666      7          0            1   2.09236e-07
    10          4.096724     0.0190501    0.00101864     -0.006908      0.363867      5          0        0.951   6.97454e-08

 ========== Varying R31 exch downward from 0.06801 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.029440     0.0013941     0.0013941     -0.000838      0.738009      5          0            1   4.18945e-08
     2          0.119697     0.0026602     0.0012661     -0.007356      0.670678     15          0            1   1.39648e-08
     3          0.144650    0.00290987   0.000249677      0.002603      0.134800     23          0        0.207   4.65494e-09
     4          1.049475    0.00740578     0.0044959      0.168185      0.031651      6          0            1   4.65494e-09
     5          1.222053     0.0079435   0.000537718      0.002727      0.000408      3          0        0.243   3.82785e-09
     6          2.029667     0.0100033    0.00205979      0.046867      0.007543      3          0            1   3.82785e-09
     7          2.286195     0.0105512   0.000547948     -0.002451      0.509313      5          0            1   1.27595e-09
     8          2.552962      0.011083   0.000531733     -0.002300      0.499225      3          0            1   4.25317e-10
     9          2.829444     0.0115995   0.000516499     -0.002160      0.489650      4          0            1   1.41772e-10
    10          3.115187     0.0121017   0.000502193     -0.002031      0.480518      4          0            1   4.72574e-11
    11          3.903300     0.0133532    0.00125156      0.023442      0.003621      2          0            1   1.57525e-11

 ========== Varying R33 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.756606    0.00189347    0.00189347      0.002597      0.014218      8          0            1   4.18945e-08
     2          0.860782    0.00216566   0.000272193      0.000129      0.004535     10          0        0.142   1.39648e-08
     3          1.620437    0.00409889    0.00193322     -0.004973      0.003664      9          0            1   1.39648e-08
     4          2.379985     0.0060601    0.00196121     -0.004990      0.003753     10          0            1   4.65494e-09
     5          3.139738    0.00804927    0.00198917     -0.005004      0.003535      6          0            1   1.55165e-09
     6          3.899553     0.0100663    0.00201701     -0.005015      0.003463      7          0            1   5.17216e-10

 ========== Varying R33 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R34 net upward from 0.06805 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.007031   0.000793074   0.000793074     -0.006489      0.754772     16          0            1   4.18945e-08
     2          0.035982    0.00158721   0.000794135     -0.006490      0.732851     11          0            1   1.39648e-08
     3          0.083814    0.00238215   0.000794937     -0.006475      0.713985      7          0            1   4.65494e-09
     4          0.126701    0.00293162   0.000549469     -0.003526      0.721879      8          0            1   1.55165e-09
     5          0.201813    0.00372741   0.000795796     -0.006445      0.686735     10          0            1   5.17216e-10
     6          0.291053    0.00452349   0.000796073     -0.006424      0.672628      8          0            1   1.72405e-10
     7          0.361121    0.00508101   0.000557521     -0.003477      0.694747      7          0            1   5.74685e-11
     8          0.470950    0.00587725   0.000796245     -0.006380      0.652082      8          0            1   1.91562e-11
     9          0.511809    0.00615549   0.000278243     -0.000778      0.226605      6          0        0.349   6.38538e-12
    10          0.635142    0.00695181    0.00079632     -0.006339      0.638620      7          0            1   6.38538e-12
    11          0.695417    0.00732188    0.00037007     -0.001426      0.434924      7          0        0.647   2.12846e-12
    12          0.792408     0.0078971   0.000575216     -0.003391      0.667909      8          0            1   2.12846e-12
    13          0.808361    0.00798959   9.24912e-05     -0.000085      0.073038      4          0        0.116   7.09487e-13
    14          0.817095    0.00804002   5.04292e-05     -0.000025      0.039798      5          0       0.0633   7.09487e-13
    15          0.958597    0.00883703   0.000797006     -0.006235      0.620554      8          0            1   7.09487e-13
    16          1.105958    0.00963473   0.000797699     -0.006179      0.614751      4          2            1   1.89197e-12
    17          1.258116     0.0104336   0.000798843     -0.006027      0.610107      8          2            1   5.04524e-12
    18          1.432037     0.0113242   0.000890634     -0.003289      0.000959      7          3        0.256   1.07632e-10
    19          1.591866     0.0121274   0.000803182     -0.006042      0.602421      7          0            1   1.07632e-10
    20          1.754344     0.0129338   0.000806459     -0.005980      0.599834      7          0            1   3.58773e-11
    21          1.888649     0.0135955   0.000661641     -0.003210      0.630778      7          0            1   1.19591e-11
    22          2.027049     0.0142747   0.000679208     -0.003184      0.626707      7          0            1   3.98636e-12
    23          2.194531     0.0150952   0.000820469     -0.005577      0.595233      7          0            1   1.32879e-12
    24          2.363228     0.0159233   0.000828169     -0.005718      0.593877      7          3            1   2.83475e-11
    25          2.533152      0.016761   0.000837639     -0.005637      0.592730      7          0            1   9.44916e-12
    26          2.704290     0.0176101   0.000849136     -0.005437      0.591716      7          0            1   3.14972e-12
    27          2.876513      0.018473   0.000862916     -0.005296      0.590772      9          2            1   8.39925e-12
    28          2.912157     0.0186528   0.000179812     -0.000214      0.121050      7          1        0.204    5.5995e-12
    29          3.089689     0.0195546   0.000901733     -0.001494      0.589265     11          0            1    5.5995e-12
    30          3.276509     0.0205179   0.000963332     -0.003582      0.577889      7          3            1   1.19456e-10
    31          3.474612     0.0215574    0.00103949     -0.003826      0.566423      7          0            1   3.98187e-11
    32          3.654367     0.0225189   0.000961516     -0.005124      0.583307      7          0            1   1.32729e-11
    33          3.880261     0.0237551    0.00123618     -0.004658      0.537738      6          2            1   3.53944e-11

 ========== Varying R34 net downward from 0.06805 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.109252    0.00249937    0.00249937     -0.006120      0.652823      7          0            1   4.18945e-08
     2          0.370929    0.00444035    0.00194098     -0.001092      0.505495     10          0            1   1.39648e-08
     3          0.716815    0.00603842    0.00159807      0.005119      0.425453     15          4            1   2.38333e-06
     4          1.284002    0.00796286    0.00192444     -0.000140      0.199528     10          0            1   7.94444e-07
     5          1.942738     0.0100993    0.00213649      0.042065      0.151619     13          0            1   2.64815e-07
     6          2.634257     0.0123537    0.00225435      0.000071      0.076746     11          4            1    4.5195e-05
     7          3.315634     0.0145869    0.00223316     -0.003572      0.083326     10          0            1    1.5065e-05
     8          3.991531     0.0168136    0.00222673     -0.003334      0.089054      6          0            1   5.02167e-06

 ========== Varying R34 exch upward from 1992 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.004154        188144        188144      0.253240      0.385927     13          1            1    8.3789e-08
     2         -0.004154        193973       5828.92      0.000001      0.000000      0          0        0.132   2.79297e-08
     3         -0.004166        399057        205084      0.000012      0.000000      1          0            1   2.79297e-08
     4         -0.004312        469944         70887      0.000049      0.000057      7          0        0.324   9.30989e-09
     5         -0.004312        491186       21242.4      0.000002      0.000000      0          0       0.0621   9.30989e-09
     6         -0.004314        604458        113272      0.000001      0.000000      0          0            1   9.30989e-09
     7         -0.004271   1.22107e+06        616614      0.000051      0.000000      1          0         0.87    3.1033e-09
     8         -0.004320   1.48579e+06        264721      0.002304      0.000006      8          0        0.617    3.1033e-09
     9         -0.004319   1.93569e+06        449900      0.000029      0.000001      1          0            1    3.1033e-09
    10         -0.004322   3.92181e+06   1.98612e+06      0.000001      0.000000      0          0            1   1.03443e-09
    11         -0.004324   4.38069e+06        458875     -0.000001      0.000000      0          0         0.13   3.44811e-10
    12         -0.004318   6.53249e+06    2.1518e+06      0.000004      0.000000      0          0            1   3.44811e-10
    13         -0.004324   6.97508e+06        442594     -0.000005      0.000000      0          1        0.998   2.29874e-10
    14         -0.004322   8.37113e+06   1.39605e+06      0.000002      0.000000      0          0        0.434   2.29874e-10
    15         -0.004314   9.99801e+06   1.62687e+06      0.000008      0.000000      0          0        0.413   2.29874e-10
    16          0.880170   9.99801e+06    0.00664756      0.208602      0.092406     16          0            1   2.29874e-10
    17          1.521555   9.99801e+06    0.00208837     -0.002771      0.124135     12          0            1   2.07936e-10
    18          2.160706   9.99801e+06    0.00207552     -0.002888      0.126252     10          0            1   6.93121e-11
    19          2.794043   9.99801e+06     0.0020702     -0.003005      0.131950     16          0            1    2.3104e-11
    20          3.404179   9.99801e+06    0.00200161     -0.002928      0.131393     11          0        0.969   7.70135e-12
    21          3.483491   9.99801e+06   0.000260886     -0.000046      0.017735     10          0        0.127   7.70135e-12
    22          4.108429   9.99801e+06    0.00206112     -0.003230      0.140124     10          0            1   7.70135e-12

 ========== Varying R34 exch downward from 1992 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.009098       1606.38       1606.38      0.007630      0.002750     12          6            1     0.0013728
     2          0.020335       1795.67       189.295      0.005557      0.002536      6          3            1     0.0292864
     3          0.053262       1911.13       115.458      0.019804      0.000396      9          2            1      0.078097
     4          0.357490       1978.99       67.8647      0.323076      0.174744     12          2            1      0.208259
     5          0.579569       1983.71       4.71686      0.090109      0.007321      5          3            1       4.44285
     6          1.297584       1987.96       4.24787      0.515605      0.128216     15          0            1       1.48095
     7          2.395522       1989.55       1.59348      0.645525      0.168864     16          0            1      0.730892
     8          3.347744        1990.1      0.543921      0.286389      0.043800     16          0            1      0.750177
     9          3.681411       1990.24      0.139764      0.027348      0.454409     16          0            1      0.699534
    10          4.000977       1990.36       0.12412      0.019433      0.465079      8          0            1      0.233178

 ========== Varying R36 net upward from -0.2516 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.017806     0.0023286     0.0023286     -0.003418      0.746993     15          0            1   4.18945e-08
     2          0.075435    0.00472603    0.00239743     -0.004669      0.705967     15          0            1   1.39648e-08
     3          0.113476    0.00574328    0.00101725      0.001051      0.731300     11          0            1   4.65494e-09
     4          0.173734    0.00580796   6.46798e-05      0.000006      0.000000      0          0       0.0786   1.55165e-09
     5          0.229210    0.00586747   5.95098e-05      0.000005      0.000000      0          0       0.0723   1.55165e-09
     6          0.149314     0.0065554   0.000687931      0.000716      0.723125     11          0        0.837   1.55165e-09
     7          0.272818    0.00878236    0.00222697     -0.003373      0.641399     10          0            1   1.55165e-09
     8          0.292683    0.00908801   0.000305645      0.000107      0.219372      5          0        0.312   5.17216e-10
     9          0.368492     0.0101669    0.00107885      0.002155      0.694637      8          0            1   5.17216e-10
    10          0.416847     0.0107964    0.00062954     -0.000311      0.160959      9          0        0.273   1.72405e-10
    11          0.496677     0.0117585   0.000962056      0.001129      0.689590      7          0            1   1.72405e-10
    12          0.515944     0.0119785   0.000220028      0.000094      0.140121      6          0        0.208   5.74685e-11
    13          0.738486     0.0142626    0.00228414     -0.003995      0.541754     10          0            1   5.74685e-11
    14          0.760863     0.0144711   0.000208503      0.000088      0.111038      6          0        0.174   1.91562e-11
    15          1.025476      0.016728     0.0022569     -0.003787      0.499891     10          0            1   1.91562e-11
    16          1.158382     0.0177463    0.00101827      0.002270      0.637655     14          0            1   6.38538e-12
    17          1.478254     0.0199679    0.00222162     -0.003516      0.444904     10          0            1   2.12846e-12
    18          1.536744     0.0203456   0.000377708      0.000288      0.166647      6          0        0.294   7.09487e-13
    19          1.719209     0.0214773    0.00113164      0.002882      0.588708     10          0            1   7.09487e-13
    20          1.757318     0.0217054    0.00022818     -0.000016      0.034131      7          0       0.0943   2.36496e-13
    21          0.182717     0.0226847   0.000979262      0.002311      2.345204     53          3            1   1.51357e-11
    22          0.319017     0.0249634    0.00227871     -0.003615      0.628375     10          0            1   5.04524e-12
    23          0.331829     0.0251288   0.000165382      0.001009      0.071105     11          2        0.108    1.3454e-11
    24          1.087542      0.032549    0.00742023      0.015853      0.010965     12         13            1       0.92455
    25          1.876549     0.0374862    0.00493722      0.059147      0.030715      8          0            1      0.308183
    26          2.623536     0.0414677    0.00398149      0.318262      0.330921     12          1            1      0.215894
    27          3.387957     0.0449087    0.00344093      0.167500      0.162576     10          0            1      0.214318
    28          4.147945     0.0480434    0.00313477      0.209592      0.208246     13          0            1      0.170999

 ========== Varying R36 net downward from -0.2516 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.725653      0.014931      0.014931     -0.012087      0.030059     17          2            1   3.35156e-07
     2          1.480748     0.0215842    0.00665319     -0.007617      0.005579     12          0            1   1.11719e-07
     3          2.237983     0.0268201    0.00523587     -0.006791      0.004265     13          0            1   3.72396e-08
     4          2.401952     0.0278477    0.00102758     -0.000302      0.000284      8          0        0.227   1.24132e-08
     5          3.159258     0.0322613    0.00441366     -0.006613      0.004374      4          0            1   1.24132e-08
     6          3.221262     0.0326038   0.000342429      0.000029      0.000123      8          0       0.0851   4.13773e-09
     7          3.297459     0.0330208   0.000416998     -0.000086      0.002715     10          0        0.108   4.13773e-09
     8          3.336575     0.0332334   0.000212622     -0.000018      0.000016     11          0       0.0536   4.13773e-09
     9          3.399513     0.0335736   0.000340177     -0.000047      0.000034      9          0       0.0861   4.13773e-09
    10          4.154830     0.0375006    0.00392707     -0.006963      0.006012     18          0            1   4.13773e-09

 ========== Varying R36 exch upward from 1820 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.004222        194672        194672      0.271855      0.359447     13          1            1    8.3789e-08
     2         -0.004232        409567        214895      0.000011      0.000000      1          0            1   2.79297e-08
     3         -0.004236        781772        372205      0.000004      0.000000      0          0            1   9.30989e-09
     4         -0.004239   1.42645e+06        644676      0.000002      0.000000      0          0            1    3.1033e-09
     5         -0.004239   2.54306e+06   1.11661e+06      0.000001      0.000000      0          0            1   1.03443e-09
     6         -0.004240   4.47709e+06   1.93403e+06      0.000000      0.000000      0          0            1   3.44811e-10
     7         -0.004241   7.82691e+06   3.34983e+06     -0.000001      0.000000      0          0            1   1.14937e-10
     8         -0.004241   9.99818e+06   2.17127e+06      0.000001      0.000000      0          0        0.374   3.83123e-11
     9          0.805712   9.99818e+06     0.0148999      0.080876      0.039214     12          0            1   3.83123e-11
    10          0.883891   9.99818e+06   0.000684535     -0.000495      0.154622     11          0        0.304    1.9461e-11
    11          1.027766   9.99818e+06    0.00118165      0.002931      0.627348     12          0            1    1.9461e-11
    12          1.322710   9.99818e+06     0.0021764      0.000017      0.473365     12          0            1   6.48699e-12
    13          1.449137   9.99818e+06   0.000853669      0.004822      0.646687      9          0            1   2.16233e-12
    14          1.803116   9.99818e+06     0.0021999     -0.003349      0.410964     12          0            1   7.20777e-13
    15          0.429724   9.99818e+06    0.00445532      0.233770      2.375446     34          2            1   1.92207e-12
    16          1.184622   9.99818e+06    0.00682654      0.011825      0.009660     13         14            1      0.993276
    17          1.951038   9.99818e+06    0.00476914      0.048757      0.043117      9          0            1      0.331092
    18          2.718295   9.99818e+06    0.00388854      0.185562      0.178099     12          1            1      0.220728
    19          3.078279   9.99818e+06    0.00163521      0.011621      0.418027     14          0            1       0.18615
    20          3.525624   9.99818e+06    0.00193609      0.223576      0.541215     13          0            1       0.06205
    21          4.188235   9.99818e+06    0.00271417      0.692770      0.791715     15          0            1     0.0572326

 ========== Varying R36 exch downward from 1820 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.013514       1608.16       1608.16      0.013945      0.002955      9          6            1     0.0013728
     2          0.121430       1790.13       181.978      0.103433      0.010627     15          3            1     0.0292864
     3          0.197502        1801.3       11.1717      0.029721      0.001170     10          4            1       4.99821
     4          0.520241       1812.64       11.3382      0.245689      0.047925     10          0            1       1.66607
     5          0.805623       1815.14       2.49864      0.111862      0.013278     13          2            1       4.44285
     6          1.553038       1817.35       2.20652      0.500056      0.149328      8          0            1       1.48095
     7          2.474884       1818.24      0.893007      0.461350      0.134717      7          0            1       1.04422
     8          3.330180       1818.64      0.399364      0.279204      0.094648      9          0            1       1.02799
     9          4.074176        1818.9      0.263495      0.245776      0.192657      8          0            1       0.87742

 ========== Varying R38 net upward from -0.06817 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.094581    0.00157027    0.00157027      0.061080      0.734703     11          0            1   4.18945e-08
     2          0.383653    0.00309655    0.00152628      0.094421      0.573605     12          0            1   1.69546e-08
     3          0.574191     0.0037574   0.000660844      0.001809      0.152999     10          0        0.445   9.67817e-09
     4          0.640027    0.00395686   0.000199467      0.688594      0.727505     17          0        0.137   9.67817e-09
     5          1.243644    0.00541756     0.0014607      0.114057      0.278707     20          0            1   9.67817e-09
     6          1.795759    0.00652647    0.00110891     -0.003334      0.042696      4          0        0.779   6.31352e-09
     7          1.851545    0.00663819   0.000111715      0.060743      0.065598     15          0       0.0791   6.31352e-09
     8          2.564165    0.00807054    0.00143236     -0.005607      0.050065     11          0            1   6.31352e-09
     9          3.240583    0.00943741    0.00136687     -0.003751      0.088121     19          0            1   2.10451e-09
    10          3.288034    0.00953358   9.61676e-05      0.047782      0.049429     16          0        0.064   7.01503e-10
    11          4.008610     0.0109985    0.00146491     -0.005960      0.041757      6          0            1   7.01503e-10

 ========== Varying R38 net downward from -0.06817 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.632313    0.00448672    0.00448672     -0.072783      0.062732     19          2            1   3.35156e-07
     2          1.344780    0.00683738    0.00235066     -0.038840      0.016985     10          0            1   1.11719e-07
     3          2.061897    0.00883589    0.00199851     -0.035597      0.015578     18          0            1   3.72396e-08
     4          2.777772     0.0107164    0.00188052     -0.036140      0.016276     10          0            1   1.24132e-08
     5          3.490240     0.0125865    0.00187007     -0.038337      0.017487     12          0            1   4.13773e-09
     6          3.949841     0.0138292    0.00124269     -0.023272      0.285418      8          0            1   1.37924e-09

 ========== Varying R38 exch upward from 0.0437 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.002897    0.00109987    0.00109987      0.009482      0.279208     14          0        0.418   4.18945e-08
     2          0.000393    0.00562319    0.00452332      0.036242      0.801228      6          0            1   4.18945e-08
     3          0.742349     0.0113703    0.00574713      0.039922      0.066242      6          1            1   2.79297e-08
     4          1.218193     0.0130612    0.00169087     -0.055602      0.236846      9          0            1   9.30989e-09
     5          1.503734     0.0139294   0.000868246     -0.001075      0.481675      7          0            1    3.1033e-09
     6          2.264554     0.0159337    0.00200426     -0.003806      0.003666      4          4            1   5.29629e-07
     7          3.026255      0.017658    0.00172431     -0.003935      0.002656     12          2            1   1.41234e-06
     8          3.413760     0.0184628   0.000804826     -0.001314      0.379467     10          0            1   4.70782e-07
     9          3.159128      0.019941    0.00147815     -0.003852      1.019072     22          2            1   1.25542e-06
    10          3.482346     0.0210101    0.00106917     -0.002011      0.443047      5          0            1   4.18473e-07
    11          4.168238     0.0229517    0.00194156     -0.005103      0.077220      4          4            1   7.14193e-05

 ========== Varying R38 exch downward from 0.0437 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.198007    0.00236163    0.00236163     -0.014481      0.555434     10          2            1   3.35156e-07
     2          0.622890    0.00412214    0.00176051      0.058840      0.402111     12          0            1   1.11719e-07
     3          0.625047     0.0041677   4.55572e-05     -0.001099      0.062576     20          0       0.0866   4.37884e-08
     4          1.348587     0.0060763    0.00190861     -0.019196      0.025548      9          0            1   4.37884e-08
     5          1.575096    0.00656757   0.000491269     -0.000667      0.541109      6          0            1   1.45961e-08
     6          1.662822    0.00675745   0.000189874     -0.000167      0.028886      5          0        0.158   4.86538e-09
     7          1.910849    0.00728933    0.00053188     -0.001240      0.080884      6          0        0.441   4.86538e-09
     8          2.645618    0.00879971    0.00151038     -0.009433      0.023668      5          0            1   4.86538e-09
     9          2.927659    0.00934858    0.00054887     -0.001048      0.002222      2          0        0.386   1.62179e-09
    10          3.678076     0.0107278    0.00137918     -0.005770      0.012105      4          0            1   1.62179e-09
    11          3.770768     0.0108902   0.000162428     -0.000033      0.000164      1          0        0.127   5.40597e-10
    12          4.532824     0.0121678    0.00127757      0.001233      0.007452      2          0            1   5.40597e-10

 ========== Varying R40 net upward from 0.5293 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.007232    0.00336737    0.00336737     -0.006366      0.754687     11          0            1   4.18945e-08
     2          0.034772    0.00626481    0.00289744     -0.004651      0.736036      8          0            1   1.39648e-08
     3          0.077977     0.0091176    0.00285279     -0.004534      0.720542      8          0            1   4.65494e-09
     4          0.136562     0.0119522    0.00283464     -0.004442      0.705262     16          0            1   1.55165e-09
     5          0.222855     0.0152008    0.00324861     -0.003856      0.678143      8          0            1   5.17216e-10
     6          0.313580     0.0180045    0.00280362     -0.004260      0.673306      8          0            1   1.72405e-10
     7          0.418708     0.0207948    0.00279038     -0.004179      0.658984      8          0            1   5.74685e-11
     8          0.533466     0.0234738    0.00267899     -0.004485      0.649049     10          0            1   1.91562e-11
     9          0.590270     0.0246956     0.0012218     -0.002876      0.434455      8          0        0.644   6.38538e-12
    10          0.728837     0.0274555    0.00275989     -0.003996      0.625729      8          0            1   6.38538e-12
    11          0.742191     0.0277076   0.000252076     -0.000033      0.056867      6          0       0.0917   2.12846e-12
    12          0.847282     0.0296182    0.00191062     -0.001897      0.426869      7          0        0.696   2.12846e-12
    13          1.037510     0.0328047    0.00318646     -0.003233      0.574831      7          0            1   2.12846e-12
    14          1.057727     0.0331261   0.000321399     -0.000053      0.070072      6          0        0.118   7.09487e-13
    15          1.247549     0.0360097    0.00288359     -0.002913      0.575556      9          0            1   7.09487e-13
    16          1.268215     0.0363105   0.000300799     -0.000046      0.064257      5          0        0.111   2.36496e-13
    17          1.357779     0.0375873    0.00127687     -0.000825      0.270907      8          0        0.471   2.36496e-13
    18          1.541156     0.0400869    0.00249955     -0.000905      0.183379      9          0        0.486   2.36496e-13
    19          2.306626     0.0492101    0.00912321     -0.002374      0.000448      9          0            1   2.36496e-13
    20          2.437355     0.0506135    0.00140337     -0.000059      0.000014      6          0        0.181   7.88319e-14
    21          2.882458     0.0551412    0.00452773     -0.003058      0.320132      6          0            1   7.88319e-14
    22          3.130513     0.0575205     0.0023793     -0.005194      0.515043      7          0            1   2.62773e-14
    23          3.235615     0.0585016   0.000981056     -0.000455      0.180594      2          0        0.373    8.7591e-15
    24          3.077549     0.0596308    0.00112928      0.060804      0.294743      3          0        0.101    8.7591e-15
    25          3.371743      0.062242    0.00261111     -0.003206      0.470891      2          0            1    8.7591e-15
    26          3.676381     0.0648441     0.0026021     -0.003157      0.460497      2          0            1    2.9197e-15
    27          3.999577     0.0675047    0.00266061     -0.002142      0.442953      2          0            1   9.73233e-16

 ========== Varying R40 net downward from 0.5293 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.695220     0.0475034     0.0475034     -0.067545      0.005525     12          0            1   4.18945e-08
     2          1.263205     0.0920192     0.0445158     -0.049480      0.150827     13          0            1   1.39648e-08
     3          1.818369      0.142836     0.0508171     -0.057478      0.155649     10          0            1   4.65494e-09
     4          2.210697      0.185094      0.042258     -0.035670      0.116489     11          0        0.713   1.55165e-09
     5          2.618153      0.237687     0.0525924     -0.050508      0.136005     13          0        0.777   1.55165e-09
     6          2.947903      0.291307     0.0536201     -0.047921      0.129767     15          0        0.666   1.55165e-09
     7          3.343044      0.388655     0.0973478     -0.143236      0.229914     11          0            1   1.55165e-09
     8          3.498909      0.499123      0.110469     -0.165461      0.253938      9          0        0.759   5.17216e-10
     9          3.469726      0.555175     0.0560518     -0.036379      0.188359     14          0        0.275   5.17216e-10
    10          3.469971      0.556947    0.00177203     -0.000271      0.530935      7          0        0.693   5.17216e-10
    11          3.472099       0.55797    0.00102262      0.000184      0.313370      6          0        0.412   5.17216e-10
    12          3.474228      0.558625   0.000655566     -0.000036      0.195250      7          0        0.258   5.17216e-10
    13          3.479632      0.559816    0.00119111      0.000251      0.363700      6          0        0.481   5.17216e-10
    14          3.497706      0.562349    0.00253236     -0.000537      0.749680     10          0            1   5.17216e-10
    15          3.501470      0.562758   0.000409306      0.000031      0.123976      6          0        0.167   1.72405e-10
    16          3.529774      0.565274    0.00251628     -0.000522      0.739465      9          0            1   1.72405e-10
    17          3.539642      0.566004   0.000729437      0.000096      0.219535      6          0        0.299   5.74685e-11
    18          3.579132      0.568503    0.00249904     -0.000506      0.728296      9          0            1   5.74685e-11
    19          3.625733      0.570921    0.00241824      0.001072      0.722762      8          0            1   1.91562e-11
    20          3.681977      0.573395    0.00247372     -0.000481      0.711567     10          0            1   6.38538e-12
    21          3.715542      0.574715    0.00132024      0.000323      0.390094      6          0        0.552   2.12846e-12
    22          3.756368      0.576204     0.0014885     -0.000170      0.424055      9          0        0.606   2.12846e-12
    23          3.828057       0.57858    0.00237631      0.001061      0.697664      8          0            1   2.12846e-12
    24          3.910101      0.581016    0.00243617      0.000684      0.686931     10          1            1   1.41897e-12

 ========== Varying R40 exch upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.146926     0.0399858     0.0399858      0.656434      1.277757     33          4            1     2.145e-05
     2          0.024425      0.113649     0.0736629      0.448898      0.637818     11          5        0.908      0.119133
     3          0.055775      0.122771    0.00912249      0.043980      0.511974      5          3            1       7.62451
     4          0.145030      0.135502     0.0127308      0.430908      0.790505     12          1            1       5.08301
     5          0.280042      0.150821     0.0153188      0.310066      0.575741     12          1            1       6.53014
     6          0.423767      0.165856     0.0150355      0.022239      0.129504     10          2            1       17.4137
     7          0.649085      0.188827     0.0229703      0.280042      0.444101     11          0            1       5.80457
     8          0.958623      0.220723     0.0318966      0.372215      0.485696     10          1            1       3.86971
     9          1.383452       0.26663     0.0459064      0.435439      0.458789      8          1            1       2.57981
    10          1.893233      0.326385     0.0597554      0.270549      0.302989      9          0            1       1.69575
    11          2.519059      0.408635     0.0822497      0.196238      0.248096      9          0            1      0.565252
    12          3.173756      0.507846     0.0992107      0.056584      0.120468      9          0            1      0.349824
    13          3.845709      0.627485       0.11964     -0.003824      0.077323      9          0            1      0.116608

 ========== Varying R40 exch downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R42 net upward from -0.1835 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.003856   0.000167246   0.000167246      0.000084      0.166978     10          0        0.213   4.18945e-08
     2          0.000665   0.000839154   0.000671908      0.001200      0.764940      9          0            1   4.18945e-08
     3          0.010738    0.00149272   0.000653561      0.001122      0.759330      9          0            1   1.39648e-08
     4          0.026207    0.00213762     0.0006449      0.001097      0.753916      9          0            1   4.65494e-09
     5          0.047013    0.00277715   0.000639534      0.001089      0.748574      9          0            1   1.55165e-09
     6          0.073111    0.00341243   0.000635285      0.001088      0.743282      9          0            1   5.17216e-10
     7          0.082354    0.00361038   0.000197943      0.000107      0.231442      7          0        0.313   1.72405e-10
     8          0.115329    0.00424067    0.00063029      0.001089      0.736406      9          0            1   1.72405e-10
     9          0.160445    0.00497293   0.000732263      0.001316      0.724491      7          0            1   5.74685e-11
    10          0.182725    0.00529648   0.000323552      0.000294      0.377095      8          0         0.52   1.91562e-11
    11          0.190169    0.00540015   0.000103663      0.000027      0.102376      3          0        0.143   1.91562e-11
    12          0.237799    0.00602012   0.000619972      0.001093      0.721754      9          0            1   1.91562e-11
    13          0.299599    0.00673763   0.000717513      0.001334      0.707827      8          0            1   6.38538e-12
    14          0.331954    0.00708339   0.000345759      0.000350      0.401445      9          0        0.565   2.12846e-12
    15          0.403567    0.00779227   0.000708882      0.001351      0.698029      8          0            1   2.12846e-12
    16          0.410590     0.0078582   6.59277e-05      0.000013      0.076382      6          0        0.109   7.09487e-13
    17          0.478086    0.00846434   0.000606145      0.001097      0.701893      9          0            1   7.09487e-13
    18          0.485358    0.00852702   6.26774e-05      0.000012      0.061553      3          0       0.0898   2.36496e-13
    19          0.558203    0.00912946   0.000602435      0.001098      0.696545      9          0            1   2.36496e-13
    20          0.635846    0.00972857   0.000599115      0.001099      0.691747     10          0            1   7.88319e-14
    21          0.731425     0.0104164   0.000687813      0.001358      0.674071      8          0            1   2.62773e-14
    22          0.782558     0.0107657   0.000349307      0.001020      0.401872     12          0        0.589    8.7591e-15
    23          0.821280        0.0108   3.43515e-05      0.000003      0.000000      0          0       0.0505    8.7591e-15
    24          0.892758     0.0114795   0.000679419      0.001364      0.698178      7          0            1    8.7591e-15
    25          0.988935     0.0120658   0.000586314      0.001101      0.673216     10          0            1    2.9197e-15
    26          1.038907     0.0123587   0.000292916      0.000277      0.335921      8          0        0.502   9.73233e-16
    27          1.157607     0.0130263   0.000667564      0.001373      0.650964      8          0            1   9.73233e-16
    28          1.265826     0.0136043   0.000578029      0.001103      0.661176     14          0            1   3.24411e-16
    29          1.378510     0.0141792   0.000574962      0.001105      0.656712     10          0            1   1.08137e-16
    30          1.392138     0.0142471   6.78399e-05      0.000015      0.065893      5          0        0.104   3.60457e-17
    31          1.565274     0.0150802   0.000833085      0.001822      0.596978     13          0            1   3.60457e-17
    32          1.689287     0.0156474    0.00056719      0.001104      0.645383     10          0            1   1.20152e-17
    33          1.817620     0.0162116   0.000564223      0.001105      0.641064     12          0            1   4.00508e-18
    34          0.104210     0.0168575    0.00064594      0.000242      1.951151     37          0        0.311   1.33503e-18
    35          0.170000     0.0177111   0.000853587      0.372521      1.075023     20          0            1   1.33503e-18
    36          0.338517     0.0185859   0.000874777      0.542176      1.141950     20          0            1   1.33499e-18
    37          0.430972     0.0194724    0.00088647      0.568289      1.244126     20          0            1   1.42793e-18
    38          0.493117     0.0200116   0.000539214      0.101029      0.492601     20         11        0.591   1.70211e-09
    39          0.499502     0.0200648   5.32221e-05      0.000090      0.038184     11          0        0.058   1.70211e-09
    40          0.509695     0.0201481   8.33292e-05      0.000253      0.059581     11          1       0.0907   3.40422e-09
    41          0.527911     0.0202897   0.000141554      0.001223      0.101065     11          0        0.154   3.40422e-09
    42          1.291439     0.0250308    0.00474113      0.034113      0.028849     10         10            1      0.456907
    43          1.560079     0.0263156    0.00128479      0.009776      0.508119     14          0            1      0.152302
    44          2.324818     0.0294479    0.00313228      0.026353      0.023415     13          2            1      0.406139
    45          2.669351     0.0306882    0.00124029      0.024458      0.446325     11          0            1       0.13538
    46          3.101626     0.0321438    0.00145565      0.557504      0.890272     15          0            1     0.0451266
    47          3.859085     0.0345025    0.00235867      0.024542      0.028645     12          2            1      0.392361

 ========== Varying R42 net downward from -0.1835 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.000350   0.000747763   0.000747763     -0.007983      0.760643     15          0            1   4.18945e-08
     2          0.012136    0.00159104   0.000843276     -0.007396      0.748409     16          0            1   1.39648e-08
     3          0.299599    0.00695174     0.0053607      0.001092      0.004415     15          0        0.563   4.65494e-09
     4          1.058726     0.0131539    0.00620216     -0.004233      0.004936      1          0            1   4.65494e-09
     5          1.821380     0.0173872    0.00423326     -0.003359      0.002279      1          0            1   1.55165e-09
     6          2.584483     0.0208485    0.00346135     -0.003184      0.002005      1          0            1   5.17216e-10
     7          3.348187     0.0238714     0.0030229     -0.002982      0.001606      6          0            1   1.72405e-10
     8          4.112693        0.0266    0.00272861     -0.002713      0.001071      1          0            1   5.74685e-11

 ========== Varying R42 exch upward from 0.2742 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.003840   0.000658045   0.000658045      0.001945      0.083812      2          0        0.114   4.18945e-08
     2          0.029957    0.00637281    0.00571477      0.001784      0.743620      8          3            1   2.68125e-06
     3          0.070520    0.00996593    0.00359312      0.000715      0.583870     11          0        0.815   8.93749e-07
     4          0.171494     0.0154528    0.00548683     -0.010328      0.656990      9          0            1   8.93749e-07
     5          0.306898     0.0207432    0.00529049     -0.009621      0.623267      9          0            1   2.97916e-07
     6          0.325420     0.0213729   0.000629661      0.000018      0.113739      8          0        0.174   9.93055e-08
     7          0.441873     0.0250017    0.00362875      0.000525      0.652349     11          0            1   9.93055e-08
     8          0.572355      0.028575    0.00357331      0.000439      0.638245     10          0            1   3.31018e-08
     9          0.717926     0.0321457    0.00357076      0.000356      0.623075     10          0            1   1.10339e-08
    10          0.749381     0.0328727   0.000726995      0.000013      0.123026      7          0        0.203   3.67798e-09
    11          0.812463     0.0342905    0.00141779      0.000045      0.238349      8          0        0.395   3.67798e-09
    12          0.885297     0.0358674    0.00157693      0.000048      0.261610      8          0        0.438   3.67798e-09
    13          0.943369     0.0361432   0.000275748      0.000001      0.000000      0          0       0.0763   3.67798e-09
    14          0.970173     0.0376339    0.00149066      0.000036      0.288271      8          0        0.412   3.67798e-09
    15          1.050695     0.0392473    0.00161343      0.000034      0.259269      8          0        0.445   3.67798e-09
    16          1.246303     0.0401812   0.000933926      0.000009      0.000000      0          0        0.256   3.67798e-09
    17          1.293932     0.0438174    0.00363624      0.000083      0.720746     10          0            1   3.67798e-09
    18          1.399930     0.0443292    0.00051173      0.000001      0.000000      0          0        0.139   1.22599e-09
    19          1.535870     0.0480052    0.00367604     -0.000019      0.632333     10          0            1   1.22599e-09
    20          1.588911     0.0482641   0.000258902     -0.000000      0.000000      0          0       0.0697   4.08665e-10
    21          1.781644     0.0519792    0.00371504     -0.000119      0.575439     11          0            1   4.08665e-10
    22          2.027760      0.055733    0.00375386     -0.000214      0.521962     10          0            1   1.36222e-10
    23          2.138348     0.0562838   0.000550805     -0.000006      0.000000      0          0        0.145   4.54072e-11
    24          2.328827     0.0600769    0.00379312     -0.000326      0.577490     15          0            1   4.54072e-11
    25          2.763491     0.0659644    0.00588744     -0.002976      0.330652     13          0            1   1.51357e-11
    26          3.520405     0.0754065    0.00944209     -0.009983      0.001396      9          0            1   5.04524e-12
    27          4.278126      0.084112    0.00870557     -0.009160      0.001411      6          0            1   1.68175e-12

 ========== Varying R42 exch downward from 0.2742 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.417152     0.0227396     0.0227396     -0.014783      0.332701     13          5            1     0.0001716
     2          0.129280     0.0408322     0.0180926     -0.041611      1.014454     39          0            1      5.72e-05
     3          0.123543       0.14165      0.100817     -0.014239      0.163972     19          6            1      0.624776
     4          0.050210      0.215537     0.0738879      0.027367      0.109324     12          2            1       1.66607
     5          0.025530      0.274225     0.0586877      0.067456      0.056944     15          0        0.423      0.555357

 ========== Varying R44 upward from 0.5975 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.758219     0.0306001     0.0306001      0.002806      0.012537      7          1            1    8.3789e-08
     2          1.366562     0.0412001        0.0106     -0.003826      0.156123      3          0            1   2.79297e-08
     3          2.132213     0.0516364     0.0104363     -0.001891      0.000749      3          0            1   9.30989e-09
     4          2.792724     0.0592476    0.00761118     -0.002445      0.105336      3          0            1    3.1033e-09
     5          3.047181     0.0619457    0.00269811     -0.000163      0.000083      3          0        0.345   1.03443e-09
     6          3.192422     0.0634372    0.00149157     -0.000054      0.020037      2          0        0.223   1.03443e-09
     7          3.871660     0.0700177    0.00658048     -0.001871      0.087183      2          0            1   1.03443e-09

 ========== Varying R44 downward from 0.5975 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.003508      0.048806      0.048806     -0.067514      0.704285      9          0            1   4.18945e-08
     2         -0.002738     0.0985189     0.0497129     -0.071201      0.696321     11          0            1   1.39648e-08
     3         -0.001717      0.149437     0.0509179     -0.076025      0.691246     14          0            1   4.65494e-09
     4         -0.000290      0.201944     0.0525072     -0.082709      0.684156     23          0            1   1.55165e-09
     5          0.001817      0.256657     0.0547132     -0.092586      0.673599     41          0            1   5.17216e-10
     6          0.080668      0.263019    0.00636145     -0.001334      0.001130      8          0         0.11   1.72405e-10
     7          0.223135      0.274773     0.0117547     -0.004254      0.010049     10          0         0.21   1.72405e-10
     8          0.008433      0.333378      0.058605     -0.101735      0.881247     14          0            1   1.72405e-10
     9          0.019548      0.399611     0.0662327     -0.152255      0.604919     12          7            1    1.5065e-05
    10          0.037685      0.438421     0.0388102      0.217115      0.369304     12          8            1       10.5312
    11          0.088938      0.469284     0.0308628      0.362947      0.530987     15          1            1        7.0208
    12          0.143861      0.494004     0.0247201      0.280699      0.648431     12          0            1       2.34027
    13          0.149662      0.509961     0.0159569      0.348838      0.935063     13          1            1       1.56018
    14          0.130489      0.524467     0.0145059      0.225961      0.765009     17          1            1       2.59905
    15          0.096948      0.541446     0.0169796      0.141046      0.269325     13          2            1       6.93079
    16          0.032725       0.56691     0.0254639      0.251956      0.508543     15          0            1       2.31026
    17          0.028766      0.585813      0.018903      0.067087      0.046218     13          0        0.393      0.770088
    18          0.088776       0.58737    0.00155705     -0.006239      0.700039     12          0            1      0.770088
    19          0.152690      0.588262    0.00089131     -0.003540      0.505311     12          0         0.75      0.256696
    20          0.924704      0.593239    0.00497724      0.154613      0.140464     15          0            1      0.256696
    21          1.661397      0.596141    0.00290186      0.000257      0.031414     13          0            1      0.194129
    22          1.921458      0.597059   0.000918291      0.012200      0.519633     12          0            1     0.0647096
    23          2.042528      0.597481   0.000421483      0.034125      0.203849     11          0        0.381     0.0215699

 ========== Varying R46 upward from 0.1836 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.059778    0.00295599    0.00295599     -0.006706      0.701319     10          0            1   4.18945e-08
     2          0.092436    0.00364404   0.000688043     -0.003516      0.732106     14          0            1   1.39648e-08
     3          0.138934    0.00444595   0.000801911     -0.002982      0.718810     20          0            1   4.65494e-09
     4          0.156200     0.0047089   0.000262952     -0.000172      0.148072     17          0        0.217   1.55165e-09
     5          0.192259    0.00521622   0.000507314     -0.000621      0.284229     16          0         0.42   1.55165e-09
     6          0.405140    0.00756686    0.00235065      0.075908      0.628914     35          6            1   5.08444e-05
     7          0.558043    0.00889054    0.00132367     -0.001002      0.442644     27          0        0.781   2.39578e-05
     8          0.648243    0.00958382    0.00069328     -0.000473      0.126444     10          0        0.292   2.39578e-05
     9          1.005646      0.011988    0.00240423     -0.009698      0.399527     10          0            1   2.39578e-05
    10          1.285471     0.0135859    0.00159784     -0.004086      0.483415     12          0            1   7.98594e-06
    11          1.528824     0.0148457    0.00125978     -0.003147      0.521428     14          0            1   2.66198e-06
    12          1.751876     0.0159193     0.0010736     -0.002448      0.542648     14          0            1   8.87326e-07
    13          1.861839     0.0164224   0.000503104     -0.000544      0.300260      9          0        0.536   2.95775e-07
    14          2.073092     0.0173586   0.000936207     -0.001876      0.555092     13          0            1   2.95775e-07
    15          2.272545     0.0182002   0.000841647     -0.001545      0.567258     13          0            1   9.85918e-08
    16          2.468358     0.0189927   0.000792512     -0.001403      0.571061      8          0            1   3.28639e-08
    17          2.665878     0.0197652     0.0007725     -0.001345      0.569422     10          0            1   1.09546e-08
    18          2.868651     0.0205303   0.000765065     -0.001317      0.564200     11          0            1   3.65155e-09
    19          3.077463     0.0212926   0.000762331     -0.001298      0.558181      8          0            1   1.21718e-09
    20          3.292632     0.0220538   0.000761134     -0.001283      0.551839      8          0            1   4.05728e-10
    21          3.342253     0.0222263   0.000172496     -0.000065      0.124108      8          0        0.227   1.35243e-10
    22          3.536886     0.0228998   0.000673502     -0.002444      0.571215     13          0            1   1.35243e-10
    23          3.733431     0.0235731   0.000673323     -0.002436      0.569310     11          0            1   4.50808e-11
    24          3.931990     0.0242465   0.000673364     -0.002425      0.567308     11          0            1   1.50269e-11

 ========== Varying R46 downward from 0.1836 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.002485   0.000347115   0.000347115     -0.000977      0.358138     13          0        0.465   4.18945e-08
     2          0.005219    0.00109093   0.000743819     -0.004633      0.755954      8          0            1   4.18945e-08
     3          0.021334    0.00182962   0.000738682     -0.004577      0.747599      4          0            1   1.39648e-08
     4          0.045376    0.00256324   0.000733624     -0.004523      0.739727     11          0            1   4.65494e-09
     5          0.077297    0.00329184     0.0007286     -0.004468      0.731904     11          0            1   1.55165e-09
     6          0.117089     0.0040155   0.000723657     -0.004414      0.724085      8          0            1   5.17216e-10
     7          0.132174    0.00425734   0.000241838     -0.000496      0.242652      9          0        0.336   1.72405e-10
     8          0.134621    0.00429527   3.79338e-05     -0.000012      0.038120      5          0       0.0529   1.72405e-10
     9          0.185066    0.00501214   0.000716869     -0.004340      0.713506      7          0            1   1.72405e-10
    10          0.202431    0.00523579   0.000223648     -0.000425      0.223259      6          0        0.314   5.74685e-11
    11          0.262770    0.00594635   0.000710565     -0.004273      0.703680      9          0            1   5.74685e-11
    12          0.266310    0.00598534   3.89888e-05     -0.000013      0.038824      4          0       0.0552   1.91562e-11
    13          0.334480    0.00669091   0.000705575     -0.004219      0.695902      9          0            1   1.91562e-11
    14          0.389998    0.00721326    0.00052235     -0.002317      0.514491      8          0        0.745   6.38538e-12
    15          0.470895    0.00791072   0.000697455     -0.004132      0.683262      9          0            1   6.38538e-12
    16          0.559078    0.00860364   0.000692917     -0.004076      0.676034     10          0            1   2.12846e-12
    17          0.575821    0.00872899    0.00012535     -0.000132      0.122834      7          0        0.182   7.09487e-13
    18          0.672226    0.00941654    0.00068755     -0.004022      0.667865      9          0            1   7.09487e-13
    19          0.775614     0.0100996   0.000683085     -0.003972      0.660931      9          0            1   2.36496e-13
    20          0.885892     0.0107783    0.00067866     -0.003927      0.654087      9          0            1   7.88319e-14
    21          1.002973     0.0114526   0.000674283     -0.003882      0.647329     10          0            1   2.62773e-14
    22          1.126769     0.0121225   0.000669974     -0.003830      0.640665     10          0            1    8.7591e-15
    23          1.257201     0.0127882    0.00066568     -0.003795      0.634065     10          0            1    2.9197e-15
    24          1.279540     0.0128992   0.000110956     -0.000106      0.106273     11          0        0.168   9.73233e-16
    25          1.417608     0.0135599   0.000660753     -0.003744      0.626479      9          0            1   9.73233e-16
    26          1.562074     0.0142165   0.000656582     -0.003701      0.620126     11          0            1   3.24411e-16
    27          0.051526     0.0147401   0.000523545      0.244662      1.990162     38          4        0.307   5.53662e-14
    28          0.073790     0.0153547   0.000614607      0.030936      0.584303     16          0         0.75   5.53662e-14
    29          0.104535     0.0160144   0.000659732      0.049405      0.630088     17          0        0.796   5.53662e-14
    30          0.153588     0.0168464   0.000831962      0.139714      0.858953     20          0            1   5.53662e-14
    31          0.214711     0.0176843    0.00083794      0.165282      0.872451     17          0            1   4.11026e-14
    32          0.288786     0.0185345   0.000850219      0.214028      0.908244     17          0            1    3.3501e-14
    33          0.294053     0.0185859   5.13635e-05      0.000046      0.040172      9          0       0.0592   3.05914e-14
    34          0.380947     0.0194395   0.000853621      0.258444      0.939843     20          0            1   3.05914e-14
    35          0.484074     0.0203199   0.000880385      0.340714      1.005878     18          0            1   2.95196e-14
    36          0.603199     0.0212213    0.00090141      0.441347      1.090514     18          0            1   2.94769e-14
    37          0.738375     0.0221344    0.00091311      0.512619      1.145735     17          0            1   2.95743e-14
    38          0.893673     0.0230827   0.000948321      0.696948      1.309942     18          0            1   3.06805e-14
    39          0.907680     0.0231609   7.82059e-05      0.000155      0.048097     10          6       0.0808   1.54813e-09
    40          1.069178     0.0240549   0.000893956      0.290283      0.896941     17          8            1    0.00324667
    41          1.231488     0.0248825   0.000827576      0.222381      0.764098     17          0        0.917     0.0031991
    42          1.428127     0.0258144   0.000931983      0.384967      0.956464     16          0            1     0.0031991
    43          1.642798     0.0267596     0.0009452      0.425354      0.978810     14          0            1     0.0031991
    44          1.879206     0.0277323   0.000972606      0.475207      1.006912     14          0            1      0.003203
    45          2.144920     0.0287562    0.00102397      0.514358      1.016738     16          0            1    0.00324542
    46          2.434674     0.0298069    0.00105063      0.495659      0.973987     15          0            1    0.00337124
    47          2.752678     0.0308973    0.00109042      0.430455      0.880523     26          0            1    0.00345324
    48          3.098012     0.0320236    0.00112636      0.331941      0.754683      9          0            1     0.0034592
    49          3.468667     0.0331811    0.00115751      0.212616      0.610052     12          0            1    0.00345041
    50          3.862219     0.0343657     0.0011846      0.129103      0.503674     14          0            1    0.00314215

 ========== Varying R47 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.762354    0.00052126    0.00052126     -0.001539      0.004399      9          0            1   4.18945e-08
     2          1.527633    0.00104586   0.000524601     -0.001496      0.001516      7          0            1   1.39648e-08
     3          2.292725    0.00157329   0.000527428     -0.001267      0.001933     19          0            1   4.65494e-09
     4          3.057629    0.00210327   0.000529976     -0.001517      0.001870      9          0            1   1.55165e-09
     5          3.823088    0.00263595   0.000532683     -0.001529      0.001304      8          0            1   5.17216e-10
     6          4.588571    0.00317139   0.000535437     -0.001538      0.001271      8          0            1   1.72405e-10

 ========== Varying R47 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R48 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.760621   0.000521259   0.000521259     -0.001539      0.006129     18          0            1   4.18945e-08
     2          1.526098    0.00104578   0.000524517     -0.001501      0.001315      9          0            1   1.39648e-08
     3          2.076464    0.00142453   0.000378752      0.007196      0.009503     13          0         0.72   4.65494e-09
     4          2.841502    0.00195342   0.000528889      0.001989      0.005242     13          0            1   4.65494e-09
     5          3.130191    0.00215371   0.000200298     -0.000130      0.000529      8          0        0.377   1.55165e-09
     6          3.452651    0.00237788    0.00022417     -0.000204      0.000567      9          0        0.421   1.55165e-09
     7          3.763811    0.00259466   0.000216772     -0.000188      0.000537     10          0        0.406   1.55165e-09
     8          4.070181    0.00280854   0.000213878     -0.000181      0.000528      9          0          0.4   1.55165e-09

 ========== Varying R48 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R49 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.760352   0.000527786   0.000527786     -0.002982      0.004955     12          0            1   4.18945e-08
     2          1.494371    0.00103934    0.00051155     -0.002349      0.031923      3          0            1   1.39648e-08
     3          2.230800    0.00155723   0.000517897     -0.002186      0.029676     10          0            1   4.65494e-09
     4          2.969076    0.00208101   0.000523776     -0.002472      0.027545     11          0            1   1.55165e-09
     5          3.733058    0.00262774   0.000546735     -0.003051      0.001259      9          0            1   5.17216e-10
     6          4.497043    0.00317948   0.000551734     -0.003066      0.001241     10          0            1   1.72405e-10

 ========== Varying R49 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R50 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.755277    0.00118612    0.00118612     -0.006125      0.006889     10          0            1   4.18945e-08
     2          1.514801     0.0023972    0.00121108     -0.006192      0.002576      9          0            1   1.39648e-08
     3          2.274301    0.00363359     0.0012364     -0.006256      0.002536      9          0            1   4.65494e-09
     4          2.612989    0.00419328   0.000559687     -0.001247      0.000494      8          0        0.443   1.55165e-09
     5          3.372474    0.00546739    0.00127411     -0.006349      0.002457      9          0            1   1.55165e-09
     6          4.131941    0.00676835    0.00130096     -0.006413      0.002413      9          0            1   5.17216e-10

 ========== Varying R50 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R51 upward from 1.291 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.000194    0.00423248    0.00423248     -0.003268      0.765160      9          0            1   4.18945e-08
     2          0.012359    0.00866371    0.00443123     -0.007748      0.747962      5          0            1   1.39648e-08
     3          0.031332     0.0127062    0.00404251     -0.005771      0.743541      5          0            1   4.65494e-09
     4          0.059880     0.0170735     0.0043673     -0.007573      0.732168      4          0            1   1.55165e-09
     5          0.093511     0.0210865      0.004013     -0.005663      0.728997      5          0            1   5.17216e-10
     6          0.137999     0.0254516    0.00436503     -0.001371      0.722426      7          0            1   1.72405e-10
     7          0.190443     0.0297797    0.00432814     -0.007350      0.708497      4          0            1   5.74685e-11
     8          0.250683     0.0340963    0.00431661     -0.007275      0.700777      5          0            1   1.91562e-11
     9          0.265568     0.0350795   0.000983165     -0.000331      0.159984      5          0        0.228   6.38538e-12
    10          0.284107     0.0362684    0.00118894      0.001663      0.193526      5          0        0.274   6.38538e-12
    11          0.290562     0.0366731   0.000404721     -0.000064      0.065680      5          0       0.0941   6.38538e-12
    12          0.363520     0.0409719    0.00429875     -0.007164      0.688170      6          0            1   6.38538e-12
    13          0.444260     0.0452598    0.00428793     -0.007085      0.680465      7          0            1   2.12846e-12
    14          0.532720      0.049537    0.00427718     -0.007006      0.672825      5          0            1   7.09487e-13
    15          0.554467     0.0505314   0.000994398     -0.000335      0.156747      5          0        0.233   2.36496e-13
    16          0.652379     0.0547952    0.00426383     -0.006940      0.663440      5          0            1   2.36496e-13
    17          0.757865     0.0590486    0.00425343     -0.006873      0.655932      6          0            1   7.88319e-14
    18          0.778636     0.0598221   0.000773461      0.168600      0.208263      6          1        0.079   5.25546e-14
    19          0.892151     0.0640609    0.00423879     -0.006785      0.647991      6          0            1   5.25546e-14
    20          1.013898     0.0682917    0.00423076     -0.006732      0.639814      6          0            1   1.75182e-14
    21          1.133308     0.0722043    0.00391259     -0.004540      0.644341      4          0            1    5.8394e-15
    22          1.269235     0.0764164    0.00421217     -0.006613      0.625751      5          0            1   1.94647e-15
    23          1.339973     0.0785204    0.00210397     -0.001459      0.342641      4          0         0.54   6.48822e-16
    24          1.486751      0.082718     0.0041976     -0.006516      0.614997      5          0            1   6.48822e-16
    25          1.629211     0.0866007    0.00388268     -0.004921      0.620911      5          0            1   2.16274e-16
    26          1.777822     0.0904764    0.00387577     -0.004882      0.614798      4          0            1   7.20914e-17
    27          1.932543     0.0943454    0.00386893     -0.004844      0.608727      4          0            1   2.40305e-17
    28          2.093334     0.0982075    0.00386217     -0.004806      0.602695      4          0            1   8.01015e-18
    29          2.260155      0.102063    0.00385548     -0.004767      0.596704      4          0            1   2.67005e-18
    30          2.432966      0.105912    0.00384887     -0.004730      0.590750      4          0            1   8.90017e-19
    31          2.525003      0.107907    0.00199499     -0.001269      0.305344      4          0        0.519   2.96672e-19
    32          2.706840      0.111746    0.00383897     -0.004675      0.581779      4          0            1   2.96672e-19
    33          2.892037      0.115527    0.00378159     -0.002521      0.580575      4          0            1   9.88907e-20
    34          2.913280      0.115953   0.000425983      0.013878      0.071023      6          0        0.102   3.29636e-20
    35          3.068260      0.119017    0.00306335     -0.002952      0.457096      4          0        0.801   3.29636e-20
    36          3.084710      0.119337   0.000320561      0.003140      0.051680      8          0       0.0847   3.29636e-20
    37          3.609694      0.129162    0.00982494     -0.002259      0.239418      3         17            1   9.27842e-06
    38          3.926834      0.134759    0.00559694     -0.003197      0.446830      6          0            1   3.09281e-06

 ========== Varying R51 downward from 1.291 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000410    0.00403444    0.00403444     -0.000729      0.767128     11          0            1   4.18945e-08
     2          0.010612    0.00803626    0.00400182     -0.000760      0.757309      4          0            1   1.39648e-08
     3          0.012948    0.00871168   0.000675422     -0.000022      0.129019      9          0        0.171   4.65494e-09
     4          0.031517      0.012649    0.00393732     -0.000763      0.748953      3          0            1   4.65494e-09
     5          0.056697     0.0165524    0.00390341     -0.000756      0.742354      2          0            1   1.55165e-09
     6          0.088400     0.0204308    0.00387837     -0.000744      0.735843      3          0            1   5.17216e-10
     7          0.126542     0.0242873    0.00385648     -0.000731      0.729418      3          0            1   1.72405e-10
     8          0.171030      0.028123    0.00383578     -0.000718      0.723086      2          0            1   5.74685e-11
     9          0.221780     0.0319387    0.00381564     -0.000705      0.716836      2          0            1   1.91562e-11
    10          0.278147     0.0356996    0.00376093     -0.000659      0.711266      3          0            1   6.38538e-12
    11          0.313666     0.0378774    0.00217776     -0.000225      0.406831      3          0        0.577   2.12846e-12
    12          0.380087     0.0416428    0.00376538     -0.000673      0.701198      2          0            1   2.12846e-12
    13          0.452460      0.045389    0.00374625     -0.000660      0.695259      2          0            1   7.09487e-13
    14          0.530641     0.0491163    0.00372732     -0.000609      0.689502      2          0            1   2.36496e-13
    15          0.614652      0.052825    0.00370867     -0.000628      0.683651      2          0            1   7.88319e-14
    16          0.704376     0.0565152    0.00369023     -0.000617      0.677951      3          0            1   2.62773e-14
    17          0.782562      0.059543    0.00302779     -0.000416      0.554633      2          0        0.825    8.7591e-15
    18          0.882492     0.0632002    0.00365715     -0.000598      0.667764      2          0            1    8.7591e-15
    19          0.988018     0.0668512    0.00365107      0.004812      0.667577      2          0            1    2.9197e-15
    20          1.086799     0.0673179   0.000466641     -0.000010      0.000000      0          0        0.129   9.73233e-16
    21          1.020505     0.0679326   0.000614733     -0.000017      0.196566      2          0         0.17   9.73233e-16
    22          1.132983      0.071549     0.0036164     -0.000576      0.655237      2          0            1   9.73233e-16
    23          1.250777     0.0751481    0.00359905     -0.000554      0.649944      2          0            1   3.24411e-16
    24          1.373830     0.0787299    0.00358187     -0.000554      0.644685      2          0            1   1.08137e-16
    25          1.502068     0.0822948    0.00356489     -0.000543      0.639511      2          0            1   3.60457e-17
    26          1.470243     0.0828709   0.000576053      0.001131      0.131880      2          0        0.129   1.20152e-17
    27          1.579205     0.0857638    0.00289295     -0.000352      0.516931      4          0        0.815   1.20152e-17
    28          1.717013     0.0892864    0.00352258      0.024458      0.654941      3          0            1   1.20152e-17
    29          1.860249      0.092804    0.00351764     -0.000508      0.624548      2          0            1   4.00508e-18
    30          2.008411     0.0963054    0.00350132     -0.000495      0.619635      4          0            1   1.33503e-18
    31          2.304914       0.10295    0.00664426      0.001790      0.473579      2          0            1   4.45008e-19
    32          2.467051      0.106405      0.003455     -0.000467      0.605687      2          0            1   1.48336e-19
    33          2.633874      0.109844    0.00343943     -0.000459      0.601011      2          0            1   4.94454e-20
    34          2.805316      0.113268      0.003424     -0.000449      0.596400      3          0            1   1.64818e-20
    35          2.981328      0.116677    0.00340874     -0.000438      0.591842      2          0            1   5.49393e-21
    36          3.160617      0.120048    0.00337083     -0.000407      0.588595      3          0            1   1.83131e-21
    37          3.344316      0.123404    0.00335643     -0.000401      0.584192      3          0            1   6.10437e-22
    38          3.532379      0.126746    0.00334218     -0.000389      0.579840      3          0            1   2.03479e-22
    39          3.726005      0.130096    0.00334957     -0.000403      0.574263      3          0            1   6.78263e-23
    40          3.922659       0.13341    0.00331402     -0.000373      0.571264      3          0            1   2.26088e-23

 ========== Varying R52 upward from 0.2284 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.003265   0.000829475   0.000829475     -0.000022      0.177286      7          0        0.228   4.18945e-08
     2          0.019063    0.00445432    0.00362485     -0.001179      0.744782     10          0            1   4.18945e-08
     3          0.045256    0.00649838    0.00204406     -0.000363      0.413100      8          0        0.574   1.39648e-08
     4          0.083234    0.00863141    0.00213303     -0.000386      0.424864      8          0        0.604   1.39648e-08
     5          0.169299     0.0121266    0.00349518     -0.000999      0.681227     14          0            1   1.39648e-08
     6          0.264439     0.0150528    0.00292624      0.000047      0.673199     11          0            1   4.65494e-09
     7          0.401718     0.0184518    0.00339899     -0.000883      0.630129      9          0            1   1.55165e-09
     8          0.565528      0.021803    0.00335122     -0.000831      0.603651      9          0            1   5.17216e-10
     9          0.755055      0.025109    0.00330592     -0.000785      0.577980      9          0            1   1.72405e-10
    10          1.529002     0.0354524     0.0103434      0.012163      0.006508      5          0            1   5.74685e-11
    11          1.573409     0.0359525   0.000500103      0.000024      0.000009      3          0       0.0637   1.91562e-11
    12          1.776586      0.038154    0.00220156      0.000479      0.000271      3          0        0.284   1.91562e-11
    13          2.547265     0.0455184    0.00736433      0.005802      0.003415      3          0            1   1.91562e-11
    14          3.225175     0.0518146     0.0062962      0.004025      0.094407      3          0            1   6.38538e-12
    15          3.693214     0.0559928    0.00417825      0.003552      0.303804      2          0            1   2.12846e-12
    16          1.985880     0.0626337    0.00664085      0.010854      2.486480     27          0            1   7.09487e-13
    17          2.033060     0.0631085   0.000474848      0.008610      0.009175     10          0       0.0643   2.36496e-13
    18          2.802791      0.070189    0.00708052      0.288178      0.280821     13         14            1      0.130015
    19          3.184928     0.0733518    0.00316275      0.012850      0.397562     10          0            1      0.127589
    20          3.947269     0.0791891    0.00583733      0.013173      0.015779      9          2            1      0.340238

 ========== Varying R52 downward from 0.2284 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1         -0.002243     0.0323779     0.0323779     -0.006112      0.756882     17          0            1   4.18945e-08
     2         -0.002235      0.228447      0.196069     -0.000000      0.000000      0          0     0.000822   1.39648e-08

 ========== Varying R53 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000000      0.228447      0.228447      0.000000      0.000000      0          0        0.783   4.18945e-08
     2         -0.001542      0.229295   0.000848244      0.000612      0.239179     20          0        0.309   4.18945e-08
     3          0.062879      0.235923    0.00662807      0.001615      0.704397     19          5            1     0.0001716
     4          0.090974      0.237425    0.00150168      0.000015      0.329426     26          0        0.467      5.72e-05
     5          0.185783      0.241122    0.00369709     -0.001602      0.669539      5          0            1      5.72e-05
     6          0.410037      0.247078     0.0059565     -0.006344      0.536777      9          0            1   1.90667e-05
     7          0.679206      0.252286    0.00520744     -0.001790      0.496775      6          0            1   6.35555e-06
     8          0.894147      0.255715    0.00342916     -0.000701      0.552109      5          0            1   2.11852e-06
     9          1.226412      0.260271     0.0045563      0.001104      0.437048      5          0            1   7.06172e-07
    10          1.363773      0.261967    0.00169612      0.000028      0.351577      3          0        0.637   2.35391e-07
    11          1.640760      0.265142    0.00317424     -0.000649      0.490599      3          0            1   2.35391e-07
    12          2.066190      0.269527    0.00438496      0.002548      0.345401      6          0            1   7.84636e-08
    13          2.524423      0.273859    0.00433202      0.003219      0.313275      6          0            1   2.61545e-08
    14          0.913185       0.27813    0.00427109      0.003329      2.382859     42          0            1   8.71818e-09
    15          1.680405      0.287863    0.00973366      0.014974      0.011914     12         10            1      0.390045
    16          2.003947      0.291259    0.00339544      0.005825      0.449468     15          0            1      0.130015
    17          2.768552      0.298341    0.00708264      0.014023      0.014476     13          2            1      0.346706
    18          3.149088       0.30151    0.00316892      0.018198      0.404457     15          0            1      0.115569
    19          3.912367       0.30738    0.00586935      0.015554      0.016851     22          2            1      0.308183

 ========== Varying R53 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R54 upward from 0.02094 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.055683    0.00267106    0.00267106     -0.026110      0.686482      8          2            1   3.35156e-07
     2          0.181290    0.00494464    0.00227357     -0.022245      0.620440      9          0            1   1.11719e-07
     3          0.341374    0.00703501    0.00209038     -0.020357      0.587852     15          0            1   3.72396e-08
     4          0.985805     0.0133196    0.00628456     -0.114538      0.009322     11          0            1   1.24132e-08
     5          1.665895     0.0189512    0.00563163     -0.081995      0.006207     14          0            1   4.13773e-09
     6          1.865230     0.0205483    0.00159709     -0.005650      0.000311     18          0        0.289   1.37924e-09
     7          2.224648     0.0234176    0.00286933     -0.017921      0.001137      9          0        0.516   1.37924e-09
     8          2.921276     0.0290563    0.00563864     -0.065996      0.005668     18          0            1   1.37924e-09
     9          3.620086     0.0349762    0.00591995     -0.063542      0.005940      8          0            1   4.59748e-10
    10          4.318622     0.0413316    0.00635536     -0.063237      0.006519      6          0            1   1.53249e-10

 ========== Varying R54 downward from 0.02094 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000650   0.000695669   0.000695669     -0.001102      0.766534     12          0            1   4.18945e-08
     2          0.014237     0.0013653   0.000669628     -0.007952      0.746725      7          0            1   1.39648e-08
     3          0.036651    0.00200782   0.000642525     -0.007686      0.738182      7          0            1   4.65494e-09
     4          0.752920    0.00757037    0.00556254      0.158680      0.205712      9          6            1   5.08444e-05
     5          0.908581     0.0081814   0.000611035     -0.006314      0.606241     12          0            1   3.98663e-05
     6          1.082105    0.00878443   0.000603033     -0.005233      0.589320     11          0            1   1.32888e-05
     7          1.279709    0.00939525   0.000610822     -0.002930      0.567177     11          0            1   4.42959e-06
     8          1.491576    0.00998135   0.000586094     -0.002718      0.552764     10          0            1   1.47653e-06
     9          1.686719     0.0104709   0.000489575     -0.003061      0.556580      6          0        0.983   4.92176e-07
    10          1.925291     0.0110171   0.000546196     -0.001836      0.527102      8          0            1   4.92176e-07
    11          2.141517     0.0114713   0.000454146      0.001538      0.553319      7          0            1   1.64059e-07
    12          2.340540     0.0118606   0.000389303     -0.003029      0.565916      5          0            1   5.46863e-08
    13          2.528607     0.0122067     0.0003461     -0.003294      0.576817      6          0            1   1.82288e-08
    14          2.715994     0.0125331   0.000326428     -0.003293      0.577574      6          0            1   6.07625e-09
    15          2.906554     0.0128483   0.000315237     -0.003193      0.574526      6          0            1   2.02542e-09
    16          2.955006      0.012926   7.76967e-05     -0.000205      0.145371      5          0        0.253   6.75139e-10
    17          3.122290     0.0131872   0.000261158     -0.002227      0.486924      6          0        0.855   6.75139e-10
    18          3.323226     0.0134875   0.000300272     -0.002880      0.564471      7          0            1   6.75139e-10
    19          3.529170     0.0137815   0.000294014     -0.002726      0.559621      7          0            1   2.25046e-10
    20          3.738887       0.01407   0.000288486     -0.002563      0.556012     13          0            1   7.50155e-11
    21          3.862304     0.0142363   0.000166313     -0.000866      0.324797     14          0        0.585   2.50052e-11

 ========== Varying R55 upward from 0.003472 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.037248   0.000165954   0.000165954      0.044170      0.775149     13          0            1   4.18945e-08
     2          0.088938   0.000360427   0.000194473     -0.000926      0.715675     10          0            1   1.39648e-08
     3          0.153052   0.000478159   0.000117732      0.000078      0.419501      4          2        0.636   3.72396e-08
     4          0.199658   0.000546521   6.83618e-05     -0.000186      0.239153      5          0        0.379   3.72396e-08
     5          0.228596   0.000585253   3.87321e-05     -0.000064      0.134786      7          0        0.218   3.72396e-08
     6          0.383629     0.0007617   0.000176447     -0.001658      0.611599     13          0            1   3.72396e-08
     7          0.550344   0.000917335   0.000155635     -0.001529      0.532170      8          0        0.914   1.24132e-08
     8          0.658899     0.0010073   8.99651e-05     -0.000557      0.303908      8          0        0.543   1.24132e-08
     9          0.829495    0.00113604   0.000128742     -0.001261      0.431528      7          0        0.789   1.24132e-08
    10          0.930597    0.00120679   7.07451e-05     -0.000401      0.234671      7          0        0.442   1.24132e-08
    11          0.983550    0.00124249    3.5699e-05     -0.000105      0.117742      6          0        0.226   1.24132e-08
    12          1.014607    0.00126303   2.05453e-05     -0.000035      0.067566      3          0        0.131   1.24132e-08
    13          1.052421    0.00127089   7.86322e-06     -0.000005      0.000000      0          0       0.0501   1.24132e-08
    14          1.278470    0.00142766   0.000156768     -0.002251      0.539992      9          0            1   1.24132e-08
    15          1.396072    0.00149625   6.85854e-05     -0.000447      0.222120      7          0        0.447   4.13773e-09
    16          1.449403    0.00152653   3.02865e-05     -0.000089      0.097539      6          0        0.199   4.13773e-09
    17          1.601166    0.00161023   8.36963e-05     -0.000251      0.616278      9          0            1   4.13773e-09
    18          1.888800    0.00176022   0.000149986     -0.002415      0.478243      3          0            1   1.37924e-09
    19          2.007183    0.00181916   5.89444e-05     -0.000382      0.185672      9          0          0.4   4.59748e-10
    20          2.052752    0.00184147   2.23064e-05     -0.000055      0.069918      3          0        0.152   4.59748e-10
    21          2.080010    0.00185471   1.32459e-05     -0.000020      0.041442      3          0       0.0906   4.59748e-10
    22          2.828107    0.00219466   0.000339949     -0.018659      0.001536     12          0            1   4.59748e-10
    23          3.165171    0.00233595   0.000141292     -0.002596      0.428631      8          0            1   1.53249e-10
    24          3.512395    0.00247558   0.000139625     -0.002626      0.418442      7          0            1   5.10831e-11
    25          3.792877    0.00258459   0.000109015     -0.001640      0.322831      7          0        0.789   1.70277e-11
    26          4.156623    0.00272162   0.000137022     -0.002670      0.401875      7          0            1   1.70277e-11

 ========== Varying R55 downward from 0.003472 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000666   8.13701e-05   8.13701e-05     -0.000901      0.766718     10          0            1   4.18945e-08
     2          0.032425   0.000223882   0.000142511     -0.007521      0.729008      6          0            1   1.39648e-08
     3          0.067234   0.000311612   8.77304e-05     -0.002737      0.449822     12          0        0.638   4.65494e-09
     4          0.143920   0.000446097   0.000134485     -0.006099      0.685505      6          0            1   4.65494e-09
     5          0.245775   0.000576187    0.00013009     -0.005361      0.661075     10          0            1   1.55165e-09
     6          0.371302   0.000702225   0.000126038     -0.004727      0.638037     11          0            1   5.17216e-10
     7          0.394941    0.00072331    2.1085e-05     -0.000129      0.107075      6          0        0.172   1.72405e-10
     8          0.651654    0.00091913    0.00019582     -0.009046      0.502532     10          0            1   1.72405e-10
     9          0.840487    0.00103762   0.000118491     -0.007518      0.571941      9          0            1   5.74685e-11
    10          0.892504    0.00106767   3.00527e-05     -0.000471      0.145621      6          0        0.261   1.91562e-11
    11          0.911257    0.00107828   1.06017e-05     -0.000026      0.052835      6          0       0.0944   1.91562e-11
    12          0.952628    0.00110125   2.29781e-05     -0.000121      0.114339      7          0        0.205   1.91562e-11
    13          0.965963    0.00110854   7.29075e-06     -0.000012      0.036262      4          0       0.0654   1.91562e-11
    14          0.979649    0.00111597   7.42576e-06     -0.000028      0.035907      5          0       0.0655   1.91562e-11
    15          1.197057    0.00122709   0.000111122     -0.002623      0.548260     10          0            1   1.91562e-11
    16          1.432221     0.0013355   0.000108411     -0.002286      0.530842     11          0            1   6.38538e-12
    17          1.462496    0.00134873   1.32265e-05     -0.000032      0.064573      5          0        0.125   2.12846e-12
    18          1.882811    0.00151859   0.000169861     -0.004232      0.343742     10          0            1   2.12846e-12
    19          2.163330    0.00162044   0.000101849     -0.001539      0.486234     10          0            1   7.09487e-13
    20          2.394385    0.00169892   7.84781e-05     -0.000765      0.371269     10          0        0.787   2.36496e-13
    21          2.702086    0.00179709   9.81752e-05     -0.001170      0.459420     11          0            1   2.36496e-13
    22          3.024376    0.00189339   9.62975e-05     -0.000999      0.445002      9          0            1   7.88319e-14
    23          3.094919    0.00191368   2.02942e-05     -0.000036      0.029523      6          0        0.133   2.62773e-14
    24          3.434518    0.00200792   9.42315e-05     -0.000674      0.428018      9          0            1   2.62773e-14
    25          3.807896    0.00210564   9.77266e-05      0.007975      0.402865      7          0            1    8.7591e-15
    26          4.408402    0.00225193   0.000146285      0.724441      0.892226     27          2            1   2.33576e-14

 ========== Varying R56 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.757619     0.0011861     0.0011861     -0.006125      0.004535     24          0            1   4.18945e-08
     2          1.515922    0.00239716    0.00121106     -0.006192      0.003796      2          0            1   1.39648e-08
     3          2.274160    0.00363305    0.00123589     -0.006254      0.003801     27          0            1   4.65494e-09
     4          2.431316    0.00389218   0.000259137     -0.000264      0.004839      9          0        0.211   1.55165e-09
     5          3.190799    0.00515996    0.00126778     -0.006334      0.002475     13          0            1   1.55165e-09
     6          3.950236    0.00645443    0.00129447     -0.006397      0.002458     15          0            1   5.17216e-10

 ========== Varying R56 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R57 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.756719    0.00116983    0.00116983     -0.006253      0.005307      8          0            1   4.18945e-08
     2          1.516082    0.00236404    0.00119421     -0.006313      0.002616      3          0            1   1.39648e-08
     3          2.275375    0.00358353    0.00121949     -0.006373      0.002625     16          0            1   4.65494e-09
     4          3.012445    0.00479224    0.00120871     -0.005992      0.025230      5          0            1   1.55165e-09
     5          3.752648    0.00602977    0.00123753     -0.006099      0.021990      6          0            1   5.17216e-10
     6          4.495706    0.00729748    0.00126771     -0.006209      0.019025      5          0            1   1.72405e-10

 ========== Varying R57 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R58 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.755508    0.00163435    0.00163435     -0.002253      0.010506      6          0            1   4.18945e-08
     2          1.519304    0.00329404    0.00165969     -0.002028      0.002467     11          0            1   1.39648e-08
     3          1.727282    0.00374883   0.000454788     -0.000152      0.000216     10          0        0.271   4.65494e-09
     4          2.490973    0.00542906    0.00168023     -0.002071      0.002530     11          0            1   4.65494e-09
     5          3.254651    0.00712591    0.00169685     -0.002105      0.002509     10          0            1   1.55165e-09
     6          4.018244    0.00883967    0.00171375     -0.002139      0.002560     11          0            1   5.17216e-10

 ========== Varying R58 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R59 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.762432   0.000742119   0.000742119     -0.001093      0.004761     13          0            1   4.18945e-08
     2          1.528384    0.00148644    0.00074432     -0.001119      0.001221     13          0            1   1.39648e-08
     3          2.294125    0.00223303   0.000746589     -0.001141      0.001410     16          0            1   4.65494e-09
     4          3.059636    0.00298194   0.000748909     -0.001161      0.001620     10          0            1   1.55165e-09
     5          3.825069    0.00373321   0.000751273     -0.001182      0.001677      9          0            1   5.17216e-10
     6          4.590414    0.00448689   0.000753679     -0.001201      0.001746      7          0            1   1.72405e-10

 ========== Varying R59 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R61 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.762149   0.000249835   0.000249835     -0.001141      0.005001      9          0            1   4.18945e-08
     2          0.805801   0.000264093   1.42575e-05     -0.000004      0.000000      0          0       0.0569   1.39648e-08
     3          1.571701   0.000514751   0.000250658     -0.001162      0.001230     13          0            1   1.39648e-08
     4          2.337805   0.000766358   0.000251607     -0.001158      0.001029      9          0            1   4.65494e-09
     5          3.103918    0.00101885   0.000252495     -0.001160      0.001020      9          0            1   1.55165e-09
     6          3.220109    0.00105723   3.83722e-05     -0.000027      0.000025      7          0        0.151   5.17216e-10
     7          3.864484     0.0012704   0.000213172     -0.000820      0.000713      7          0        0.841   5.17216e-10

 ========== Varying R61 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R62 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.759996   0.000456503   0.000456503     -0.003015      0.005280     16          0            1   4.18945e-08
     2          1.523847   0.000917259   0.000460756     -0.003032      0.001409      5          0            1   1.39648e-08
     3          2.287705    0.00138233   0.000465074     -0.003042      0.001392      9          0            1   4.65494e-09
     4          3.051588    0.00185175   0.000469418     -0.003052      0.001357     10          0            1   1.55165e-09
     5          3.815503    0.00232555   0.000473796     -0.003061      0.001315      9          0            1   5.17216e-10
     6          4.579426    0.00280375   0.000478201     -0.003070      0.001299     10          0            1   1.72405e-10

 ========== Varying R62 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R64 upward from 0.1153 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.006893   0.000752026   0.000752026     -0.006810      0.754584     16          0            1   4.18945e-08
     2          0.028914      0.001493   0.000740976     -0.005233      0.741034     13          4            1      7.15e-06
     3          0.065630     0.0022384   0.000745402      0.038446      0.770017     16          0            1   2.38333e-06
     4          0.116919    0.00298579   0.000747387     -0.007169      0.709833     17          0            1   7.94444e-07
     5          0.183582    0.00374393   0.000758141     -0.007008      0.694611     14          0            1   2.64815e-07
     6          0.264184    0.00450887   0.000764935     -0.006922      0.680761     11          0            1   8.82715e-08
     7          0.285771       0.00469   0.000181133      0.123303      0.281164     22          0        0.234   2.94238e-08
     8          0.384463    0.00545913    0.00076913     -0.006924      0.662669     11          0            1   2.94238e-08
     9          0.506372    0.00626984   0.000810707     -0.006979      0.639394      9          0            1   9.80795e-09
    10          0.649141    0.00710814   0.000838305     -0.008118      0.617394     13          0            1   3.26932e-09
    11          0.657902    0.00715654   4.83995e-05     -0.000026      0.038627      5          0       0.0618   1.08977e-09
    12          0.820302    0.00800353   0.000846991     -0.007996      0.597893     13          0            1   1.08977e-09
    13          0.999680    0.00885077   0.000847233     -0.008106      0.580805     12          0            1   3.63257e-10
    14          1.196466    0.00970062   0.000849851     -0.008096      0.563410      9          0            1   1.21086e-10
    15          1.410455     0.0105529   0.000852268     -0.008085      0.546217     15          0            1   4.03619e-11
    16          1.626547     0.0113537   0.000800851     -0.006859      0.545340     14          0            1    1.3454e-11
    17          1.873620     0.0122109   0.000857115     -0.008066      0.513153     14          0            1   4.48466e-12
    18          1.893824     0.0122785   6.76666e-05     -0.000048      0.039493      8          0       0.0778   1.49489e-12
    19          1.942339     0.0124397   0.000161199     -0.000284      0.095071     10          0        0.187   1.49489e-12
    20          2.214097     0.0133099   0.000870178     -0.007926      0.488608     10          0            1   1.49489e-12
    21          2.503598      0.014184   0.000874142     -0.007884      0.470907     10          0            1   4.98295e-13
    22          2.581294     0.0144106   0.000226526     -0.000518      0.119796      9          2        0.258   1.32879e-12
    23          2.886802     0.0152716   0.000861001     -0.006810      0.455973     17          0            1   1.32879e-12
    24          3.196380     0.0161052   0.000833604      0.001973      0.460686      6          0            1   4.42929e-13
    25          3.518563     0.0169335   0.000828341     -0.007087      0.439022      9          0            1   1.47643e-13
    26          3.685988     0.0173541   0.000420636     -0.001521      0.197380      7          0        0.477   4.92144e-14
    27          3.810456     0.0176634   0.000309285     -0.000881      0.141788      7          0        0.348   4.92144e-14
    28          3.840412     0.0177364   7.29433e-05     -0.000054      0.032960     10          0        0.082   4.92144e-14
    29          4.208148     0.0186322   0.000895856     -0.007241      0.393315      8          0            1   4.92144e-14

 ========== Varying R64 downward from 0.1153 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000597   0.000547425   0.000547425      0.002357      0.770022     11          0            1   4.18945e-08
     2          0.048845    0.00195344    0.00140602     -0.002762      0.717280     14          0            1   1.39648e-08
     3          0.080068    0.00246706   0.000513611      0.001166      0.738234      4          0            1   4.65494e-09
     4          0.103016    0.00278172   0.000314668      0.034233      0.195106     16          2         0.24   1.24132e-08
     5          0.227598    0.00408896    0.00130724      0.116379      0.760084     26          0            1   1.24132e-08
     6          0.233421    0.00414039   5.14306e-05      0.000012      0.072601      5          0        0.102   8.20895e-09
     7          0.295021    0.00464289   0.000502498      0.001175      0.707862      9          0            1   8.20895e-09
     8          0.363320    0.00514045   0.000497559      0.001163      0.701154      8          0            1   2.73632e-09
     9          0.438300    0.00563447   0.000494018      0.001158      0.694469      9          0            1   9.12106e-10
    10          0.499973    0.00573569   0.000101219     -0.000001      0.000000      0          0       0.0806   3.04035e-10
    11          0.633506    0.00674638     0.0010107     -0.000644      0.484892     17          0        0.807   3.04035e-10
    12          0.730133    0.00723107   0.000484686      0.001959      0.673623     11          0            1   3.04035e-10
    13          0.833226    0.00771291   0.000481842      0.001155      0.666354     11          0            1   1.01345e-10
    14          1.125883    0.00893253    0.00121962      0.002019      0.477654     14          0            1   3.37817e-11
    15          1.163554    0.00906677   0.000134236      0.000027      0.048009      7          0        0.112   1.12606e-11
    16          1.288314    0.00953845   0.000471676      0.001152      0.644684      8          0            1   1.12606e-11
    17          1.640754     0.0107275    0.00118903      0.002237      0.418089     25          0            1   3.75352e-12
    18          1.654467     0.0107709   4.34066e-05      0.000018      0.059099      4          0        0.095   1.25117e-12
    19          1.802373     0.0112275   0.000456594      0.001995      0.622380      6          0            1   1.25117e-12
    20          0.342011     0.0123882    0.00116068      0.475770      2.704423     36          2            1   3.33646e-12
    21          0.433495     0.0130005   0.000612302      0.148221      0.825029     18          0            1   3.38173e-12
    22          0.471143     0.0132317   0.000231201      0.004943      0.255021     14          0        0.375   2.59835e-12
    23          0.578549     0.0138425   0.000610844      0.167133      0.828019     20          0            1   2.59835e-12
    24          0.647981     0.0142059   0.000363387      0.026473      0.401768     17          0        0.579    2.1299e-12
    25          0.777666     0.0148317   0.000625768      0.229073      0.867680     17          0            1    2.1299e-12
    26          0.921899     0.0154654   0.000633764      0.254977      0.879037     17          0            1   1.98978e-12
    27          1.082149     0.0161102   0.000644792      0.323768      0.931810     17          0            1   1.91414e-12
    28          1.204048      0.016569   0.000458812      0.103606      0.506087     16          0        0.683   1.90671e-12
    29          1.395444     0.0172408   0.000671803      0.517097      1.093993     20          0            1   1.90671e-12
    30          1.609562     0.0179373    0.00069647      0.633743      1.187916     18          0            1   1.98575e-12
    31          1.697347     0.0182089    0.00027164      0.017930      0.218918     15          0        0.376   2.53045e-12
    32          2.467055     0.0203294    0.00212045      0.184231      0.176387     13         13            1      0.173891
    33          3.237096     0.0221304      0.001801      0.256314      0.248227     13          0            1      0.146941
    34          4.005518     0.0237265    0.00159609      0.243534      0.236958     15          0            1      0.140681

 ========== Varying R65 upward from 9.998e-08 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.665851      0.004076      0.004076      0.072814      0.098369     12          4            1     2.145e-05
     2          1.381211    0.00850751    0.00443151     -0.007188      0.045736     13          0            1      7.15e-06
     3          2.104702     0.0129944    0.00448686     -0.007313      0.037487      5          0            1   2.38333e-06
     4          2.831376     0.0175311    0.00453669      0.136869      0.178486     17          0            1   7.94444e-07
     5          3.562725     0.0221274    0.00459633      0.071701      0.108643     13          0            1   5.82546e-07
     6          4.298691     0.0267836    0.00465619      0.138552      0.170877     13          0            1   2.69097e-07

 ========== Varying R65 downward from 9.998e-08 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R66 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.640310    0.00391939    0.00391939      0.051629      0.108532     13          4            1     2.145e-05
     2          1.357357    0.00834734    0.00442795     -0.006847      0.044389      7          0            1      7.15e-06
     3          2.037709      0.012565    0.00421769      0.019543      0.107472     14          2            1   1.90667e-05
     4          2.764485     0.0171024    0.00453739     -0.007273      0.034241      7          0            1   6.35555e-06
     5          3.423148      0.021238    0.00413562      0.004113      0.113736     16          2            1   1.69481e-05
     6          4.157791     0.0258895    0.00465147     -0.007612      0.026036      9          0            1   5.64938e-06

 ========== Varying R66 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

 ========== Varying R70 upward from 0.1153 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.000068   0.000569775   0.000569775     -0.004225      0.763996      9          0            1   4.18945e-08
     2          0.018412    0.00130866   0.000738886     -0.007203      0.742744     17          0            1   1.39648e-08
     3          0.051357    0.00205127   0.000742605     -0.007187      0.728160     12          0            1   4.65494e-09
     4          0.098943    0.00279763   0.000746359     -0.007172      0.713534     10          0            1   1.55165e-09
     5          0.108371    0.00292331   0.000125686     -0.000202      0.118934      7          0        0.168   5.17216e-10
     6          0.173132    0.00367425   0.000750941     -0.007157      0.696374     10          0            1   5.17216e-10
     7          0.202617    0.00397042    0.00029617     -0.001104      0.270603      9          0        0.392   1.72405e-10
     8          0.238787    0.00430675   0.000336332     -0.001283      0.285838      8          0        0.421   1.72405e-10
     9          0.330731    0.00506503   0.000758277     -0.007135      0.669212      9          0            1   1.72405e-10
    10          0.343854     0.0051645   9.94734e-05     -0.000122      0.086891      7          0         0.13   5.74685e-11
    11          0.452618    0.00592742   0.000762919     -0.007124      0.652404      8          0            1   5.74685e-11
    12          0.478695    0.00609674   0.000169317     -0.000348      0.142989      6          0        0.221   1.91562e-11
    13          0.605717    0.00686479   0.000768046     -0.007113      0.634157      9          0            1   1.91562e-11
    14          0.747756    0.00763711   0.000772327     -0.007105      0.619148     10          0            1   6.38538e-12
    15          0.845101    0.00812634   0.000489224     -0.002823      0.383545      9          0         0.63   2.12846e-12
    16          1.011879    0.00890582   0.000779487     -0.007094      0.594419     10          0            1   2.12846e-12
    17          1.193736    0.00968982   0.000783994     -0.007088      0.579347      7          0            1   7.09487e-13
    18          1.280729     0.0100446   0.000354818     -0.001437      0.257022      9          0         0.45   2.36496e-13
    19          1.484929     0.0108353   0.000790663     -0.007062      0.557030     12          0            1   2.36496e-13
    20          1.510916     0.0109322   9.68563e-05     -0.000105      0.067375      8          2        0.122   6.30655e-13
    21          1.732627     0.0117281   0.000795899     -0.006868      0.539712     13          0            1   6.30655e-13
    22          1.969600     0.0125288   0.000800742     -0.007079      0.524241     11          0            1   2.10218e-13
    23          2.222017     0.0133346    0.00080581     -0.007024      0.508851     10          0            1   7.00728e-14
    24          2.490316     0.0141452   0.000810623     -0.007078      0.492914     12          0            1   2.33576e-14
    25          2.774406      0.014961   0.000815782     -0.007052      0.477150     27          0            1   7.78587e-15
    26          2.805140     0.0150469   8.59042e-05     -0.000022      0.049482     17          0        0.105   2.59529e-15
    27          3.106805     0.0158683   0.000821421     -0.007082      0.459545     14          0            1   2.59529e-15
    28          3.424789     0.0166958   0.000827489      0.621558      1.071866     20          0            1   8.65096e-16
    29          3.454526     0.0167714   7.55867e-05     -0.000029      0.039873      5          0       0.0907   1.06931e-15
    30          3.496661     0.0168782   0.000106754     -0.000032      0.056117     13          0        0.128   1.06931e-15
    31          3.680829     0.0173411   0.000462901      0.042446      0.283593     16          0        0.554   1.06931e-15
    32          4.023209     0.0181855   0.000844473      0.656756      1.082668     29          0            1   1.06931e-15

 ========== Varying R70 downward from 0.1153 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.176115    0.00360314    0.00360314     -0.004039      0.588042      9          0            1   4.18945e-08
     2          0.588990    0.00650741    0.00290426     -0.001711      0.353675     12          0            1   1.39648e-08
     3          0.892491    0.00801323    0.00150583     -0.000428      0.101146     14          0        0.528   4.65494e-09
     4          1.552101     0.0112175    0.00320424     -0.003604      0.105077      7          0            1   4.65494e-09
     5          2.176506     0.0142691    0.00305159     -0.001646      0.142242      6          0            1   1.55165e-09
     6          2.753032     0.0171041    0.00283507     -0.001735      0.190030     22          0            1   5.17216e-10
     7          3.395637     0.0202838    0.00317967      0.127309      0.252990     19          1            1   3.44811e-10
     8          3.450532     0.0205566   0.000272748      0.009883      0.019911     12          0       0.0846    2.4175e-10
     9          3.672831     0.0216624    0.00110583      0.000333      0.060366     12          2        0.368     1.934e-09
    10          4.328488     0.0249375     0.0032751     -0.010295      0.102339     18          0            1     1.934e-09

 ========== Varying R71 upward from 0.02094 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.057324    0.00267106    0.00267106     -0.026110      0.684842      9          2            1   3.35156e-07
     2          0.182729    0.00494409    0.00227303     -0.022249      0.620638      5          0            1   1.11719e-07
     3          0.342663    0.00703408    0.00208999     -0.020350      0.588007      6          0            1   3.72396e-08
     4          0.524475    0.00902632    0.00199224     -0.018939      0.567539     18          0            1   1.24132e-08
     5          0.723306     0.0109637    0.00193733     -0.018551      0.550910      8          0            1   4.13773e-09
     6          0.934762     0.0128734    0.00190977     -0.018073      0.538763     15          0            1   1.37924e-09
     7          1.156221     0.0147743    0.00190084     -0.017746      0.529087     16          0            1   4.59748e-10
     8          1.385848     0.0166804    0.00190613     -0.017530      0.521134      8          0            1   1.53249e-10
     9          1.622673     0.0186025    0.00192208     -0.017231      0.514234      7          0            1   5.10831e-11
    10          1.671691     0.0189961   0.000393593     -0.000294      0.000040      5          0       0.0712   1.70277e-11
    11          1.915960     0.0209519    0.00195589     -0.017324      0.506698      8          0            1   1.70277e-11
    12          2.165752     0.0229445    0.00199259     -0.017275      0.501224      7          3            1   3.63257e-10
    13          2.420090     0.0249823     0.0020378     -0.017228      0.496723      7          2            1   9.68686e-10
    14          2.679197     0.0270752    0.00209285     -0.017445      0.491740      7          0            1   3.22895e-10
    15          3.377611     0.0328794    0.00580421     -0.064041      0.005834      9          0            1   1.07632e-10
    16          4.076394     0.0390653    0.00618587     -0.063109      0.006399     16          0            1   3.58773e-11

 ========== Varying R71 downward from 0.02094 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.014284    0.00135177    0.00135177     -0.006457      0.747539      6          0            1   4.18945e-08
     2          0.071530     0.0026911    0.00133933     -0.006392      0.704645      9          0            1   1.39648e-08
     3          0.111934    0.00328863   0.000597534     -0.007195      0.720684      4          0            1   4.65494e-09
     4          0.160505     0.0038657   0.000577068     -0.006970      0.712744      3          0            1   1.55165e-09
     5          0.816234    0.00782753    0.00396182      0.084107      0.192452      5          6            1   1.69481e-05
     6          0.980035    0.00843787   0.000610341     -0.005694      0.598624     10          0            1    8.5273e-06
     7          1.136107    0.00895796   0.000520094      0.273587      0.885621     16          0            1   2.84243e-06
     8          1.608726     0.0102801    0.00132218     -0.006161      0.287844      6          0            1   2.77433e-06
     9          2.195698     0.0115797    0.00129953     -0.006009      0.175014     17          0            1   9.24777e-07
    10          2.918599      0.012876    0.00129631     -0.006007      0.039284     63          0            1   3.08259e-07
    11          3.677835     0.0141783    0.00130234     -0.006029      0.003025     53          0            1   1.02753e-07
    12          4.434512     0.0155086     0.0013303     -0.006110      0.005505     12          0            1    3.4251e-08

 ========== Varying R72 upward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda
     1          0.762009   0.000764718   0.000764718     -0.001240      0.005043     19          0            1   4.18945e-08
     2          1.527969    0.00153227   0.000767549     -0.001257      0.001074      8          0            1   1.39648e-08
     3          2.293936    0.00230281   0.000770544     -0.001261      0.001063      8          0            1   4.65494e-09
     4          3.059914    0.00307636   0.000773553     -0.001265      0.001048      8          0            1   1.55165e-09
     5          3.518064    0.00354048   0.000464117     -0.000452      0.000374      6          0        0.598   5.17216e-10
     6          4.284052    0.00431885   0.000778373     -0.001271      0.001033      9          0            1   5.17216e-10

 ========== Varying R72 downward from 1e-07 ==========

                Delta        Delta                       Predictor    Corrector   Corrector   Failed
 Iteration      residual     parameter     Step-size         error    adjustment  iterations   steps     h/hopt        Lambda

        Continuation completed in 484.6600 seconds.

        Preprocessing time:     0.8200 s

        Computation time:       483.8400 s
Warning: Network is ill-conditioned.

        Simulation completed in 0.2900 seconds.

        Preprocessing time:     0.2300 s

        Computation time:       0.0300 s

        Postprocessing time:    0.0300 s

--- 344.1000120639801 seconds -

9.1.6. Analysis of the INCA results

Now that INCA has estimated the fluxes, we are ready to analyze the results. The incawrapper contains a INCAResults class, which is used to read and parse the matlab file produced by INCA. Simply provide the name of the .mat file as the first argument.

[33]:
res = incawrapper.INCAResults(OUTPUT_FILE_FRUCTOSE)

We can view the fitted fluxes in the .fitdata.fitted_parameters attribute. This attribute also contains information about the fit to the other measurements types, e.g. the MS fragments. Here, we the filter to get only the flux values.

[34]:
res.fitdata.fitted_parameters.query("type.str.contains('flux')").head()
[34]:
type id eqn val std lb ub unit free alf chi2s cont cor cov vals base
0 Net flux ex_1 FRU.ext -> F6P 9.999959e-01 0.050000 0.901982 1.097989 [] 0 0.05 [977.9222383178287, 977.8134131582744, 977.045... 0 [1.0, 1.7680563727593792e-06, 1.76805637275937... [0.002499998198652431, 8.831844977574832e-12, ... [0.9006256173765403, 0.9020039654296124, 0.912... {'id': []}
1 Net flux ex_2 GLY.ext -> GLY 1.000000e-07 0.000100 0 0.000196 [] 0 0.05 [973.9736662532712, 973.9736662532712, 974.741... 0 [2.107727302141344e-06, 1.0, 1.0, -1.739597081... [1.0528578768369268e-11, 9.980928930564126e-09... [-4.656612873077393e-10, 9.99999991702083e-08,... {'id': []}
2 Net flux R1 GLY -> DHAP 1.000000e-07 0.000100 0 0.000196 [] 0 0.05 [973.9736662532712, 973.9736662532712, 974.741... 0 [2.107727302141344e-06, 1.0, 1.0, -1.739597081... [1.0528578768369268e-11, 9.980928930564126e-09... [-4.656612873077393e-10, 9.99999991702083e-08,... {'id': []}
3 Net flux R2 net F6P <-> G6P 1.345854e+00 11.871773 1.209524 1.484241 [] 0 0.05 [978.3043971558807, 977.5356371882385, 976.888... 0 [0.005425767117719797, -1.7394281393203833e-05... [0.0032206725517401305, -2.0630395225484932e-0... [1.2011822990399648, 1.214549393854479, 1.2269... {'id': []}
4 Exch flux R2 exch F6P <-> G6P 1.192970e-07 181.019336 0 inf [] 1 0.05 [973.9736662532712, 973.9736662532712, 973.970... 0 [2.949294468612045e-14, 5.738918002194418e-13,... [2.6693956696769924e-13, 1.0378640492598318e-1... [0.0, 1.1929695279932834e-07, 5734.85643425305... {'id': []}

Now that we have loaded the inca results, we can start inspecting them. The first step is to investigate the diagnostics. Here we want to investigate a few factors: 1. Did the fit pass the Goodness-of-fit test 2. Are the residuals normally distributed 3. Are the any measurements that appears to be outliers

[35]:
res.fitdata.get_goodness_of_fit()
Fit accepted: False
Confidence level: 0.05
Chi-square value (SSR): 973.9736662532712
Expected chi-square range: [16.79077227 46.97924224]

We see the SSR is larger than the one reported in the paper (498). We can further see if the residuals appear to normally distributed using a shapiro-wilk test.

[36]:
res.fitdata.test_normality_of_residuals()
Residuals are normally distributed: False on a 0.05 significance level

The test find that the residuals does not appear to be normally distributed, so lets inspect the normal probability plot to see for ourself.

[37]:
visualization.plot_norm_prob(res, interactive=True)
[37]:

Indeed, there appears to measurements that did not fit very will. We can investigate the interactive plot to find the fragments that fitted the worst and investigate the measured MDVs against the fitted.

[38]:
import matplotlib.pyplot as plt

fragments = ["fructose_Methionine320_0_0_1", "fructose_Histidine338_0_0_1", "fructose_Valine260_0_0_1", "fructose_Serine362_0_0_1"]
fig, axes = plt.subplots(2, 2, figsize=(10, 7))

for frag, ax in zip(fragments, axes.ravel()):
    visualization.plot_idv_bar(res, frag, ax=ax)
../_images/examples_Published_data_examples_C_necator_71_0.png

It is clear that some of these estimates e.g. Histidine338 M3, fits the data quite poor. There are different ways of handling poor fitting measurements. It this case it it likely that the poor fit arise from mistake that we made when formulating the model or the data. Because this data comes from another research group, we may have missed some important details when reproducing the analysis.

At the end we will shortly compare the our results the to results in figure 2 in the article. We will consider only the reactions around F6P as this is were the carbon which enters the cells is split between different metabolic pathways.

[39]:
# view_reaction = estimates_from_article['Reactions'].values
fluxes_for_f6p = res.fitdata.fitted_parameters.query("type.str.contains('Net flux')").query("eqn.str.contains('F6P')")[['id', 'type', 'eqn', 'val', 'std', 'lb', 'ub']]
[40]:
values_from_fig2 = {
    'FRU.ext -> F6P': 1,
    'F6P <-> G6P' : 1,
    'F16P -> F6P' : 1e-6,
    'E4P + X5P <-> F6P + G3P' : -0.008,
    'S7P + G3P <-> E4P + F6P' : 0.04
}
fluxes_for_f6p['literature_value'] = fluxes_for_f6p['eqn'].map(values_from_fig2)
[41]:
fig, ax = plt.subplots()
errbars = fluxes_for_f6p[['lb', 'ub']].subtract(fluxes_for_f6p['val'], axis=0).abs().T
ax.scatter(x=fluxes_for_f6p['eqn'], y=fluxes_for_f6p['val'], color='black', label='fitted value')
ax.errorbar(x=fluxes_for_f6p['eqn'], y=fluxes_for_f6p['val'], yerr=errbars, color='black', fmt='none', label='95% CI of fitted value')
ax.scatter(x=fluxes_for_f6p['eqn'], y=fluxes_for_f6p['literature_value'], color='red', label='literature value')
ax.legend()
[41]:
<matplotlib.legend.Legend at 0x13d3297e0>
../_images/examples_Published_data_examples_C_necator_75_1.png

Also, here we see that our analysis does not agree with the literature values. This is expected because our fit is worse than the fit report.

Even though we were not capable of reproducing the literature reports, we hope that this notebook can serve as a tutorial for how to use the incawrapper analyse data from 13C labelling experiments.