Risky + Safe Asset (Save + Borr) Interpolated-Percentage (Optimized-Vectorized)

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Contents

function result_map = ff_ipwkbz_vf_vecsv(varargin)

FF_IPWKBZ_VF_VECSV solve infinite horizon exo shock + endo asset problem

This program solves the infinite horizon dynamic savings and risky capital asset problem with some ar1 shock. This is the two step solution with interpolation and with percentage asset grids version of ff_iwkz_vf_vecsv. See that file for more descriptions.

@param param_map container parameter container

@param support_map container support container

@param armt_map container container with states, choices and shocks grids that are inputs for grid based solution algorithm

@param func_map container container with function handles for consumption cash-on-hand etc.

@return result_map container contains policy function matrix, value function matrix, iteration results, and policy function, value function and iteration results tables.

keys included in result_map:

@example

@include

Default

it_param_set = 4;
bl_input_override = true;
[param_map, support_map] = ffs_ipwkbz_set_default_param(it_param_set);

% parameters can be set inside ffs_ipwkbz_set_default_param or updated here
% param_map('it_w_perc_n') = 50;
% param_map('it_ak_perc_n') = param_map('it_w_perc_n');
% param_map('it_z_n') = 15;
% param_map('fl_coh_interp_grid_gap') = 0.025;
% param_map('it_c_interp_grid_gap') = 0.001;
% param_map('fl_w_interp_grid_gap') = 0.25;
% param_map('it_w_perc_n') = 100;
% param_map('it_ak_perc_n') = param_map('it_w_perc_n');
% param_map('it_z_n') = 11;
% param_map('fl_coh_interp_grid_gap') = 0.1;
% param_map('it_c_interp_grid_gap') = 10^-4;
% param_map('fl_w_interp_grid_gap') = 0.1;

% get armt and func map
[armt_map, func_map] = ffs_ipwkbz_get_funcgrid(param_map, support_map, bl_input_override); % 1 for override
default_params = {param_map support_map armt_map func_map};

Parse Parameters 1

% if varargin only has param_map and support_map,
params_len = length(varargin);
[default_params{1:params_len}] = varargin{:};
param_map = [param_map; default_params{1}];
support_map = [support_map; default_params{2}];
if params_len >= 1 && params_len <= 2
    % If override param_map, re-generate armt and func if they are not
    % provided
    bl_input_override = true;
    [armt_map, func_map] = ffs_ipwkbz_get_funcgrid(param_map, support_map, bl_input_override);
else
    % Override all
    armt_map = [armt_map; default_params{3}];
    func_map = [func_map; default_params{4}];
end

% append function name
st_func_name = 'ff_ipwkbz_vf_vecsv';
support_map('st_profile_name_main') = [st_func_name support_map('st_profile_name_main')];
support_map('st_mat_name_main') = [st_func_name support_map('st_mat_name_main')];
support_map('st_img_name_main') = [st_func_name support_map('st_img_name_main')];

Parse Parameters 2

% armt_map
params_group = values(armt_map, {'ar_w_perc', 'ar_w_level', 'ar_z'});
[ar_w_perc, ar_w_level, ar_z] = params_group{:};
params_group = values(armt_map, {'ar_interp_c_grid', 'ar_interp_coh_grid', ...
    'ar_a_meshk', 'ar_k_mesha', ...
    'mt_interp_coh_grid_mesh_z', 'mt_z_mesh_coh_interp_grid',...
    'mt_interp_coh_grid_mesh_w_perc',...
    'mt_w_by_interp_coh_interp_grid'});
[ar_interp_c_grid, ar_interp_coh_grid, ar_a_meshk, ar_k_mesha, ...
    mt_interp_coh_grid_mesh_z, mt_z_mesh_coh_interp_grid, ...
    mt_interp_coh_grid_mesh_w_perc,...
    mt_w_by_interp_coh_interp_grid] = params_group{:};
params_group = values(armt_map, {'mt_coh_wkb', 'mt_z_mesh_coh_wkb'});
[mt_coh_wkb, mt_z_mesh_coh_wkb] = params_group{:};

% func_map
params_group = values(func_map, {'f_util_log', 'f_util_crra', 'f_cons'});
[f_util_log, f_util_crra, f_cons] = params_group{:};

% param_map
params_group = values(param_map, {'it_z_n', 'fl_crra', 'fl_beta', ...
    'fl_nan_replace', 'fl_c_min', 'bl_default', 'fl_default_wprime'});
[it_z_n, fl_crra, fl_beta, fl_nan_replace, fl_c_min, bl_default, fl_default_wprime] = params_group{:};
params_group = values(param_map, {'it_maxiter_val', 'fl_tol_val', 'fl_tol_pol', 'it_tol_pol_nochange'});
[it_maxiter_val, fl_tol_val, fl_tol_pol, it_tol_pol_nochange] = params_group{:};

% support_map
params_group = values(support_map, {'bl_profile', 'st_profile_path', ...
    'st_profile_prefix', 'st_profile_name_main', 'st_profile_suffix',...
    'bl_time', 'bl_display_defparam', 'bl_graph_evf', 'bl_display', 'it_display_every', 'bl_post'});
[bl_profile, st_profile_path, ...
    st_profile_prefix, st_profile_name_main, st_profile_suffix, ...
    bl_time, bl_display_defparam, bl_graph_evf, bl_display, it_display_every, bl_post] = params_group{:};
params_group = values(support_map, {'it_display_summmat_rowmax', 'it_display_summmat_colmax'});
[it_display_summmat_rowmax, it_display_summmat_colmax] = params_group{:};

Initialize Output Matrixes

mt_val_cur = zeros(length(ar_interp_coh_grid),length(ar_z));
mt_val = mt_val_cur - 1;
mt_pol_a = zeros(length(ar_interp_coh_grid),length(ar_z));
mt_pol_a_cur = mt_pol_a - 1;
mt_pol_k = zeros(length(ar_interp_coh_grid),length(ar_z));
mt_pol_k_cur = mt_pol_k - 1;
mt_pol_idx = zeros(length(ar_interp_coh_grid),length(ar_z));

% We did not need these in ff_oz_vf or ff_oz_vf_vec
% see
% <https://fanwangecon.github.io/M4Econ/support/speed/partupdate/fs_u_c_partrepeat_main.html
% fs_u_c_partrepeat_main> for why store using cells.
cl_u_c_store = cell([it_z_n, 1]);
cl_c_valid_idx = cell([it_z_n, 1]);
cl_w_kstar_interp_z = cell([it_z_n, 1]);
for it_z_i = 1:length(ar_z)
    cl_w_kstar_interp_z{it_z_i} = zeros([length(ar_w_perc), length(ar_interp_coh_grid)]) - 1;
end

Initialize Convergence Conditions

bl_vfi_continue = true;
it_iter = 0;
ar_val_diff_norm = zeros([it_maxiter_val, 1]);
ar_pol_diff_norm = zeros([it_maxiter_val, 1]);
mt_pol_perc_change = zeros([it_maxiter_val, it_z_n]);

Pre-calculate u(c)

Interpolation, see fs_u_c_partrepeat_main for why interpolate over u(c)

% Evaluate
if (fl_crra == 1)
    ar_interp_u_of_c_grid = f_util_log(ar_interp_c_grid);
    fl_u_cmin = f_util_log(fl_c_min);
else
    ar_interp_u_of_c_grid = f_util_crra(ar_interp_c_grid);
    fl_u_cmin = f_util_crra(fl_c_min);
end
ar_interp_u_of_c_grid(ar_interp_c_grid <= fl_c_min) = fl_u_cmin;

% Get Interpolant
f_grid_interpolant_spln = griddedInterpolant(ar_interp_c_grid, ar_interp_u_of_c_grid, 'spline', 'nearest');

Iterate Value Function

Loop solution with 4 nested loops

  1. loop 1: over exogenous states
  2. loop 2: over endogenous states
  3. loop 3: over choices
  4. loop 4: add future utility, integration--loop over future shocks
% Start Profile
if (bl_profile)
    close all;
    profile off;
    profile on;
end

% Start Timer
if (bl_time)
    tic;
end

% Value Function Iteration
while bl_vfi_continue
    it_iter = it_iter + 1;

Interpolate (1) reacahble v(coh(k(w,z),b(w,z),z),z) given v(coh, z)

v(coh,z) solved on ar_interp_coh_grid, ar_z grids, see ffs_ipwkbz_get_funcgrid.m. Generate interpolant based on that, Then interpolate for the coh reachable levels given the k(w,z) percentage choice grids in the second stage of the problem

    % Generate Interpolant for v(coh,z)
    f_grid_interpolant_value = griddedInterpolant(...
        mt_z_mesh_coh_interp_grid', mt_interp_coh_grid_mesh_z', mt_val_cur', 'linear', 'nearest');

    % Interpolate for v(coh(k(w,z),b(w,z),z),z)
    mt_val_wkb_interpolated = f_grid_interpolant_value(mt_z_mesh_coh_wkb, mt_coh_wkb);
%     ar_val_wkb_interpolated = f_grid_interpolant_value(mt_z_mesh_coh_wkb(:), mt_coh_wkb(:));
%     mt_val_wkb_interpolated = reshape(ar_val_wkb_interpolated, size(mt_z_mesh_coh_wkb));

Solve Second Stage Problem k*(w,z)

This is the key difference between this function and ffs_akz_set_functions which solves the two stages jointly Interpolation first, because solution coh grid is not the same as all points reachable by k and b choices given w.

    support_map('bl_graph_evf') = false;
    if (it_iter == (it_maxiter_val + 1))
        support_map('bl_graph_evf') = bl_graph_evf;
    end
    bl_input_override = true;
    [mt_ev_condi_z_max, ~, mt_ev_condi_z_max_kp, ~] = ...
        ff_ipwkbz_evf(mt_val_wkb_interpolated, param_map, support_map, armt_map, bl_input_override);

Solve First Stage Problem w*(z) given k*(w,z)

    % loop 1: over exogenous states
    for it_z_i = 1:length(ar_z)

A. Interpolate FULL to get k*(w_perc, z), b*(k,w) based on k*(w_level, z)

Generate interpolant for (2) k*(ar_w_perc) from k*(ar_w_level,z) There are two w=k'+b' arrays. ar_w_level is the level even grid based on which we solve the 2nd stage problem in ff_ipwkbz_evf.m. Here for each coh level, we have a different vector of w levels, but the same vector of percentage ws. So we need to interpolate to get the optimal k* and b* choices at each percentage level of w.

        f_interpolante_w_level_kstar_z = griddedInterpolant(ar_w_level, mt_ev_condi_z_max_kp(:, it_z_i)', 'linear', 'nearest');

        % Interpolate (2), shift from w_level to w_perc
        mt_w_kstar_interp_z = f_interpolante_w_level_kstar_z(mt_w_by_interp_coh_interp_grid);
        mt_w_astar_interp_z = mt_w_by_interp_coh_interp_grid - mt_w_kstar_interp_z;

        % changes in w_perc kstar choices
        mt_w_kstar_diff_idx = (cl_w_kstar_interp_z{it_z_i} ~= mt_w_kstar_interp_z);

B. Calculate UPDATE u(c): u(c(coh_level, w_perc)) given k*_interp, b*_interp

Note that compared to ffs_akz_set_functions the mt_c here is much smaller the same number of columns (states) as in the ffs_akz_set_functions file, but the number of rows equal to ar_w length.

        ar_c = f_cons(mt_interp_coh_grid_mesh_w_perc(mt_w_kstar_diff_idx), ...
                      mt_w_astar_interp_z(mt_w_kstar_diff_idx), ...
                      mt_w_kstar_interp_z(mt_w_kstar_diff_idx));

        ar_it_c_valid_idx = (ar_c <= fl_c_min);
        % EVAL current utility: N by N, f_util defined earlier
        ar_utility_update = f_grid_interpolant_spln(ar_c);

        % Update Storage
        if (it_iter == 1)
            cl_u_c_store{it_z_i} = reshape(ar_utility_update, [length(ar_w_perc), length(ar_interp_coh_grid)]);
            cl_c_valid_idx{it_z_i} = reshape(ar_it_c_valid_idx, [length(ar_w_perc), length(ar_interp_coh_grid)]);
        else
            cl_u_c_store{it_z_i}(mt_w_kstar_diff_idx) = ar_utility_update;
            cl_c_valid_idx{it_z_i}(mt_w_kstar_diff_idx) = ar_it_c_valid_idx;
        end
        cl_w_kstar_interp_z{it_z_i} = mt_w_kstar_interp_z;

C. Interpolate FULL EV(k*(coh_level, w_perc, z), w - b*|z) based on EV(k*(w_level, z))

Generate Interpolant for (3) EV(k*(ar_w_perc),Z)

        f_interpolante_ev_condi_z_max_z = griddedInterpolant(ar_w_level, mt_ev_condi_z_max(:, it_z_i)', 'linear', 'nearest');
        % Interpolate (3), EVAL add on future utility, N by N + N by N
        mt_ev_condi_z_max_interp_z = f_interpolante_ev_condi_z_max_z(mt_w_by_interp_coh_interp_grid);

D. Compute FULL U(coh_level, w_perc, z) over all w_perc

        mt_utility = cl_u_c_store{it_z_i} + fl_beta*mt_ev_condi_z_max_interp_z;

        % Index update
        % using the method below is much faster than index replace
        % see <https://fanwangecon.github.io/M4Econ/support/speed/index/fs_subscript.html fs_subscript>
        mt_it_c_valid_idx = cl_c_valid_idx{it_z_i};
        % Default or Not Utility Handling
        if (bl_default)
            % if default: only today u(cmin), transition out next period, debt wiped out
            fl_v_default = fl_u_cmin + fl_beta*f_interpolante_ev_condi_z_max_z(fl_default_wprime);
            mt_utility = mt_utility.*(~mt_it_c_valid_idx) + fl_v_default*(mt_it_c_valid_idx);
        else
            % if default is not allowed: v = u(cmin)
            mt_utility = mt_utility.*(~mt_it_c_valid_idx) + fl_nan_replace*(mt_it_c_valid_idx);
        end

        % percentage algorithm does not have invalid (check to make sure
        % min percent is not 0 in ffs_ipwkbz_get_funcgrid.m)
        % mt_utility = mt_utility.*(~mt_it_c_valid_idx) + fl_u_neg_c*(mt_it_c_valid_idx);

E. Optimize Over Choices: max_{w_perc} U(coh_level, w_perc, z)

Optimization: remember matlab is column major, rows must be choices, columns must be states COLUMN-MAJOR

        [ar_opti_val_z, ar_opti_idx_z] = max(mt_utility);

        % Generate Linear Opti Index
        [it_choies_n, it_states_n] = size(mt_utility);
        ar_add_grid = linspace(0, it_choies_n*(it_states_n-1), it_states_n);
        ar_opti_linear_idx_z = ar_opti_idx_z + ar_add_grid;

        ar_opti_aprime_z = mt_w_astar_interp_z(ar_opti_linear_idx_z);
        ar_opti_kprime_z = mt_w_kstar_interp_z(ar_opti_linear_idx_z);
        ar_opti_c_z = f_cons(ar_interp_coh_grid, ar_opti_aprime_z, ar_opti_kprime_z);

        % Handle Default is optimal or not
        if (bl_default)
            % if defaulting is optimal choice, at these states, not required
            % to default, non-default possible, but default could be optimal
            fl_default_opti_kprime = f_interpolante_w_level_kstar_z(fl_default_wprime);
            ar_opti_aprime_z(ar_opti_c_z <= fl_c_min) = fl_default_wprime - fl_default_opti_kprime;
            ar_opti_kprime_z(ar_opti_c_z <= fl_c_min) = fl_default_opti_kprime;
        else
            % if default is not allowed, then next period same state as now
            % this is absorbing state, this is the limiting case, single
            % state space point, lowest a and lowest shock has this.
            ar_opti_aprime_z(ar_opti_c_z <= fl_c_min) = min(ar_a_meshk);
            ar_opti_kprime_z(ar_opti_c_z <= fl_c_min) = min(ar_k_mesha);
        end

F. Store Results

        mt_val(:,it_z_i) = ar_opti_val_z;
        mt_pol_a(:,it_z_i) = ar_opti_aprime_z;
        mt_pol_k(:,it_z_i) = ar_opti_kprime_z;
        if (it_iter == (it_maxiter_val + 1))
            mt_pol_idx(:,it_z_i) = ar_opti_linear_idx_z;
        end
    end

Check Tolerance and Continuation

    % Difference across iterations
    ar_val_diff_norm(it_iter) = norm(mt_val - mt_val_cur);
    ar_pol_diff_norm(it_iter) = norm(mt_pol_a - mt_pol_a_cur) + norm(mt_pol_k - mt_pol_k_cur);
    ar_pol_a_perc_change = sum((mt_pol_a ~= mt_pol_a_cur))/(length(ar_interp_coh_grid));
    ar_pol_k_perc_change = sum((mt_pol_k ~= mt_pol_k_cur))/(length(ar_interp_coh_grid));
    mt_pol_perc_change(it_iter, :) = mean([ar_pol_a_perc_change;ar_pol_k_perc_change]);

    % Update
    mt_val_cur = mt_val;
    mt_pol_a_cur = mt_pol_a;
    mt_pol_k_cur = mt_pol_k;

    % Print Iteration Results
    if (bl_display && (rem(it_iter, it_display_every)==0))
        fprintf('VAL it_iter:%d, fl_diff:%d, fl_diff_pol:%d\n', ...
            it_iter, ar_val_diff_norm(it_iter), ar_pol_diff_norm(it_iter));
        tb_valpol_iter = array2table([mean(mt_val_cur,1);...
                                      mean(mt_pol_a_cur,1); ...
                                      mean(mt_pol_k_cur,1); ...
                                      mt_val_cur(length(ar_interp_coh_grid),:); ...
                                      mt_pol_a_cur(length(ar_interp_coh_grid),:); ...
                                      mt_pol_k_cur(length(ar_interp_coh_grid),:)]);
        tb_valpol_iter.Properties.VariableNames = strcat('z', string((1:size(mt_val_cur,2))));
        tb_valpol_iter.Properties.RowNames = {'mval', 'map', 'mak', 'Hval', 'Hap', 'Hak'};
        disp('mval = mean(mt_val_cur,1), average value over a')
        disp('map  = mean(mt_pol_a_cur,1), average choice over a')
        disp('mkp  = mean(mt_pol_k_cur,1), average choice over k')
        disp('Hval = mt_val_cur(it_ameshk_n,:), highest a state val')
        disp('Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice')
        disp('mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice')
        disp(tb_valpol_iter);
    end

    % Continuation Conditions:
    % 1. if value function convergence criteria reached
    % 2. if policy function variation over iterations is less than
    % threshold
    if (it_iter == (it_maxiter_val + 1))
        bl_vfi_continue = false;
    elseif ((it_iter == it_maxiter_val) || ...
            (ar_val_diff_norm(it_iter) < fl_tol_val) || ...
            (sum(ar_pol_diff_norm(max(1, it_iter-it_tol_pol_nochange):it_iter)) < fl_tol_pol))
        % Fix to max, run again to save results if needed
        it_iter_last = it_iter;
        it_iter = it_maxiter_val;
    end
end

% End Timer
if (bl_time)
    toc;
end

% End Profile
if (bl_profile)
    profile off
    profile viewer
    st_file_name = [st_profile_prefix st_profile_name_main st_profile_suffix];
    profsave(profile('info'), strcat(st_profile_path, st_file_name));
end

Process Optimal Choices

result_map = containers.Map('KeyType','char', 'ValueType','any');
result_map('mt_val') = mt_val;
result_map('mt_pol_idx') = mt_pol_idx;

result_map('cl_mt_coh') = {mt_interp_coh_grid_mesh_z, zeros(1)};
result_map('cl_mt_pol_a') = {mt_pol_a, zeros(1)};
result_map('cl_mt_pol_k') = {mt_pol_k, zeros(1)};
mt_pol_c = f_cons(mt_interp_coh_grid_mesh_z, mt_pol_a, mt_pol_k);
mt_pol_c(mt_pol_c <= fl_c_min) = fl_c_min;
result_map('cl_mt_pol_c') = {mt_pol_c, zeros(1)};
result_map('ar_st_pol_names') = ["cl_mt_coh", "cl_mt_pol_a", "cl_mt_pol_k", "cl_mt_pol_c"];

if (bl_post)
    bl_input_override = true;
    result_map('ar_val_diff_norm') = ar_val_diff_norm(1:it_iter_last);
    result_map('ar_pol_diff_norm') = ar_pol_diff_norm(1:it_iter_last);
    result_map('mt_pol_perc_change') = mt_pol_perc_change(1:it_iter_last, :);

    armt_map('mt_coh_wkb_ori') = mt_coh_wkb;
    armt_map('ar_a_meshk_ori') = ar_a_meshk;
    armt_map('ar_k_mesha_ori') = ar_k_mesha;

    % graphing based on coh_wkb, but that does not match optimal choice
    % matrixes for graphs.
    armt_map('mt_coh_wkb') = mt_interp_coh_grid_mesh_z;
    armt_map('it_ameshk_n') = length(ar_interp_coh_grid);
    armt_map('ar_a_meshk') = mt_interp_coh_grid_mesh_z(:,1);
    armt_map('ar_k_mesha') = zeros(size(mt_interp_coh_grid_mesh_z(:,1)) + 0);

    result_map = ff_akz_vf_post(param_map, support_map, armt_map, func_map, result_map, bl_input_override);
end
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: (sum((mt_pol_a ~= mt_pol_a_cur))+sum((mt_pol_k ~= mt_pol_k_cur)))/(2*it_ameshk_n):percentage of state space points conditional on shock where the policy function is changing across iterations
                  valgap      polgap        z1           z2           z3           z4           z5           z6           z7           z8           z9           z10          z11           z12           z13           z14          z15   
                __________    _______    _________    _________    _________    _________    _________    _________    _________    _________    _________    _________    __________    __________    __________    _________    _________

    iter=1           179.7     2150.9            1            1            1            1            1            1            1            1            1            1             1             1             1            1            1
    iter=2          173.52       2432            1            1            1            1      0.99352      0.98575      0.97992       0.9728      0.96308      0.95207       0.94106       0.92487       0.90933      0.88601      0.86334
    iter=3          133.72     884.14      0.94948       0.9307       0.9171      0.97539      0.97863      0.94689      0.93523      0.96373      0.95855      0.93847       0.94819       0.93912       0.92617      0.90933       0.8899
    iter=4          108.39     438.85       0.9715       0.9715       0.9715      0.97409      0.97668      0.96632      0.96049      0.96956      0.95984       0.9592       0.95272       0.94365       0.93199      0.92163      0.90479
    iter=5          91.273     265.51      0.95466      0.95466      0.95725      0.95855      0.96114      0.96373      0.96697      0.96503      0.96503       0.9592       0.95466       0.94365       0.93394      0.92163      0.91904
    iter=6          78.322     187.22      0.93912      0.94041      0.94171       0.9443      0.94689      0.95078      0.95466      0.95725      0.95855      0.95661       0.94624        0.9456       0.93394      0.92228      0.91062
    iter=7           67.71     137.42      0.92617      0.92876      0.93653       0.9443       0.9456       0.9456      0.94689      0.94689      0.95078      0.95207       0.94754       0.94106       0.93199      0.91645      0.89119
    iter=8          59.065     99.368      0.84197      0.84974      0.87953       0.6386      0.46503      0.40674      0.59585      0.82707      0.88277      0.90091       0.90026       0.89961        0.9294      0.64896      0.68653
    iter=9          51.744     86.207      0.31347      0.29275      0.26166      0.49158      0.64443      0.70855      0.78951      0.82513      0.84391      0.81801       0.79145       0.47863       0.39832          0.5      0.71762
    iter=10           45.5     87.746      0.64378      0.67228      0.71762      0.73834      0.76943      0.66969      0.33808      0.26878      0.23446      0.25777       0.28692        0.7351       0.66839      0.74611      0.64767
    iter=11         40.159     61.276      0.17617      0.16321      0.16321      0.16192      0.15544      0.27526      0.63212      0.71956      0.77915      0.75972       0.40285       0.19106        0.3206      0.33355      0.30505
    iter=12         35.509     48.088      0.31477      0.26166      0.24482      0.22733      0.20596      0.18264      0.17034      0.16516      0.16127      0.19171       0.56477       0.69754       0.50065      0.27073      0.38925
    iter=13         31.489     72.386      0.42487      0.49741      0.55311       0.5978      0.64637      0.70596      0.25907      0.20596      0.17293      0.15674       0.14313       0.21373       0.38925      0.44495      0.36658
    iter=14         28.001     51.591     0.088083     0.091969     0.095855     0.092617       0.1114       0.1101      0.61464      0.68653      0.63407      0.29858       0.13536       0.12306       0.16451       0.2636      0.21244
    iter=15         24.925     39.373     0.099741      0.09456     0.097798      0.10751      0.11269       0.1114      0.10751      0.13148      0.22927      0.58484       0.51231       0.31801       0.13407      0.10492      0.26166
    iter=16         22.211     36.274       0.1114      0.12435      0.11528       0.1114      0.10233      0.11399      0.11852      0.10427      0.11593      0.12111       0.34326       0.42358       0.34197      0.21762     0.087435
    iter=17         19.821     28.891      0.17746      0.15155      0.12565      0.11269      0.12565      0.12241      0.10492      0.08614      0.09715     0.088731       0.10039       0.23964       0.32448      0.24935      0.24676
    iter=18         17.727      48.03      0.42228      0.46503      0.51684      0.23575      0.13083      0.11658      0.10363      0.10492     0.087435     0.090026      0.088731      0.088731       0.23446      0.24935      0.19883
    iter=19         15.886     43.695     0.049223     0.036269     0.038212      0.38083       0.5285      0.33808      0.14961     0.087435     0.087435      0.07772      0.067358       0.06671      0.076425      0.23381      0.19495
    iter=20         14.254     35.548     0.046632     0.042746     0.047927     0.045337     0.036269      0.29404      0.54016      0.27073      0.13018      0.06671      0.057642      0.062176      0.066062      0.11464      0.16516
    iter=21         12.799     25.968      0.03886     0.042746     0.037565     0.041451      0.03886     0.044041     0.041451      0.41062      0.28368      0.17293      0.071244      0.053756      0.043394     0.069301       0.1522
    iter=22         11.505     25.434     0.044041     0.037565      0.03886     0.032383     0.036269     0.031736     0.029793     0.042746      0.33614      0.20984       0.17358      0.061528      0.064767     0.052461     0.071891
    iter=23         10.356     24.849     0.032383     0.036269     0.028497     0.028497     0.027202     0.028497     0.034974     0.033679     0.072539      0.17746       0.16969       0.15933      0.069948     0.038212     0.046632
    iter=24         9.3375     18.036     0.031088     0.025907     0.025907      0.01943     0.022021     0.024611     0.022021     0.031088     0.023964      0.23381       0.15155       0.12306       0.11788     0.067358     0.045337
    iter=25         8.4312     21.636     0.027202     0.018135     0.020725     0.018135      0.01943      0.01943     0.014249     0.015544      0.01943     0.012953        0.1237       0.13018       0.10622      0.11658     0.032383
    iter=26         7.6209     27.219     0.025907     0.022021     0.020725      0.01943     0.020725     0.022021      0.01943    0.0064767     0.012953     0.027202      0.096503       0.10233      0.090026     0.093912      0.10557
    iter=27         6.8925     23.228     0.027202      0.01943     0.014249     0.014249     0.015544     0.012953     0.018135     0.014249     0.020725     0.020725       0.12824      0.080959      0.069948     0.084197     0.075777
    iter=28         6.2336     23.123     0.022021     0.018135     0.015544      0.01943     0.015544     0.012953     0.024611     0.013601     0.012953     0.013601       0.01101       0.07513      0.054404     0.070596     0.071891
    iter=29         5.6348     10.385     0.022021     0.018135     0.011658     0.011658    0.0064767     0.010363     0.007772     0.011658     0.016839     0.013601      0.017487      0.061528      0.072539     0.049223     0.072539
    iter=30         5.0887     10.324     0.018782     0.014896    0.0064767     0.007772     0.015544    0.0064767    0.0064767    0.0025907    0.0090674    0.0025907      0.010363       0.04987      0.062824     0.040155     0.050518
    iter=31         4.5904     24.941     0.012953     0.014249    0.0090674     0.011658     0.011658     0.010363    0.0090674     0.015544     0.007772     0.021373     0.0064767      0.072539      0.046632     0.044041     0.045337
    iter=32         4.1359     7.8234     0.018135     0.014249    0.0090674    0.0051813    0.0025907    0.0051813    0.0025907    0.0051813     0.005829     0.001943     0.0032383      0.015544      0.058938     0.041451     0.038212
    iter=33         3.7215     7.4554     0.014249    0.0090674     0.010363     0.007772    0.0051813    0.0051813     0.012953    0.0051813     0.007772     0.005829     0.0090674      0.017487      0.038212     0.031088     0.036269
    iter=34         3.3442     7.6155     0.011658    0.0090674    0.0064767     0.003886     0.003886    0.0064767            0    0.0064767     0.013601    0.0032383     0.0071244      0.012306      0.038212     0.025259     0.027202
    iter=35         3.0011     6.7574     0.007772    0.0064767     0.007772    0.0051813    0.0025907    0.0012953    0.0090674     0.007772     0.007772    0.0084197      0.010363     0.0064767      0.033031     0.022668     0.016192
    iter=36         2.6899     13.307     0.053109     0.007772    0.0051813     0.007772     0.003886    0.0025907    0.0025907            0     0.001943    0.0090674     0.0071244      0.009715      0.061528     0.031736     0.018782
    iter=37         2.4081     20.585     0.047927     0.028497    0.0025907     0.007772    0.0012953     0.003886     0.010363    0.0025907    0.0045337    0.0051813     0.0064767     0.0064767      0.017487     0.022021     0.018135
    iter=38         2.1533     12.987     0.049223     0.044041    0.0090674    0.0064767    0.0064767    0.0012953    0.0025907     0.003886    0.0012953    0.0051813      0.018782     0.0064767       0.01943     0.013601      0.02785
    iter=39         1.9232     10.997     0.062176     0.042746     0.041451     0.010363    0.0064767    0.0012953    0.0012953     0.003886    0.0051813    0.0051813     0.0084197      0.007772      0.001943     0.028497     0.017487
    iter=40         1.7157     20.011     0.068653     0.044041     0.033679     0.014249    0.0012953     0.003886    0.0025907            0    0.0064767    0.0012953     0.0051813      0.007772       0.01101     0.023316     0.017487
    iter=41          1.529     20.001     0.069948     0.041451     0.034974     0.037565    0.0012953    0.0051813            0    0.0090674    0.0032383     0.001943     0.0090674      0.003886      0.001943     0.018782     0.007772
    iter=42         1.3609     10.589     0.069948     0.034974     0.036269     0.027202            0    0.0012953     0.003886    0.0012953    0.0064767    0.0071244     0.0090674     0.0064767      0.007772      0.04728      0.01943
    iter=43         1.2104     10.608     0.079016     0.032383     0.028497     0.031088     0.022021    0.0064767    0.0012953    0.0012953    0.0051813     0.007772    0.00064767     0.0025907     0.0071244      0.03886    0.0090674
    iter=44         1.0751     25.409    0.0012953     0.025907     0.024611     0.023316     0.023316            0    0.0012953     0.003886            0    0.0032383     0.0012953      0.001943     0.0071244      0.01101     0.007772
    iter=45        0.95435     7.4954    0.0051813     0.023316     0.022021     0.016839      0.01943     0.003886    0.0012953    0.0051813    0.0051813    0.0090674     0.0051813     0.0071244      0.003886     0.014249     0.016192
    iter=46         0.8469     7.5415    0.0025907     0.018135     0.014249     0.018135     0.018135     0.018135            0     0.003886    0.0051813     0.003886     0.0032383     0.0032383    0.00064767     0.013601     0.014249
    iter=47        0.75126      6.167            0     0.015544     0.012953     0.014249     0.014249     0.018135    0.0012953    0.0025907            0            0      0.003886     0.0032383     0.0012953     0.014249     0.005829
    iter=48        0.66659     5.9375    0.0012953     0.018135     0.011658     0.010363     0.012953     0.011658    0.0012953            0            0    0.0025907     0.0032383             0             0    0.0051813     0.012306
    iter=49         0.5918     5.3293    0.0025907     0.014249     0.007772     0.011658    0.0090674     0.012953    0.0064767            0    0.0051813    0.0025907     0.0051813             0      0.005829     0.007772     0.003886
    iter=50        0.52564      6.419            0     0.010363     0.007772     0.007772     0.015544    0.0090674            0            0    0.0051813            0      0.003886     0.0090674             0     0.007772    0.0064767
    iter=84       0.020098     1.2944            0            0    0.0025907            0            0            0            0            0            0            0             0             0             0            0            0
    iter=85       0.018741          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=86       0.017491     1.5074            0            0            0            0            0            0            0    0.0012953            0            0             0             0             0            0            0
    iter=87       0.016339     1.4235            0            0            0    0.0012953            0            0    0.0012953            0            0            0             0             0             0            0            0
    iter=88       0.015273    0.12289            0            0            0            0            0            0            0            0            0            0             0    0.00064767             0            0            0
    iter=89       0.014287    0.64329            0            0            0            0            0            0            0            0            0            0             0             0     0.0012953            0            0
    iter=90       0.013372          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=91       0.012522          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=92       0.011732          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=93       0.010997          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=94       0.010311     1.3034            0            0            0            0    0.0012953            0            0            0            0            0             0             0             0    0.0012953            0
    iter=95      0.0096716          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=96      0.0090746          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=97      0.0085168          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=98      0.0079952          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=99      0.0075072          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=100     0.0070503          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=101     0.0066224          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=102     0.0062214     1.3456            0            0            0            0            0    0.0012953            0            0            0            0             0             0             0            0            0
    iter=103     0.0058455          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=104     0.0054929          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=105     0.0051621          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=106     0.0048517          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=107     0.0045603    0.27236            0            0            0            0            0            0            0            0            0            0     0.0025907             0             0            0            0
    iter=108     0.0042868          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=109     0.0040298          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=110     0.0037885          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=111     0.0035618          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=112     0.0033488          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=113     0.0031486          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=114     0.0029604          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=115     0.0027836          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=116     0.0026174          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=117     0.0024611          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=118     0.0023142          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=119     0.0021761          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=120     0.0020462          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=121     0.0019241          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=122     0.0018093          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=123     0.0017014          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=124     0.0015999          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=125     0.0015044          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=126     0.0014147          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=127     0.0013303          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=128     0.0012509          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=129     0.0011763          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=130     0.0011061          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=131     0.0010401          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=132      0.000978          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0
    iter=133    0.00091964          0            0            0            0            0            0            0            0            0            0            0             0             0             0            0            0

tb_val: V(a,z) value at each state space point
                            z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                            __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    coh1:k=-20,b=0           -9.9353       -9.6945       -9.4082        -9.09       -8.737       -8.3542       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh2:k=-19.8996,b=0      -9.9353       -9.6945       -9.4082        -9.09       -8.737       -8.3542       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh3:k=-19.7993,b=0      -9.9353       -9.6945       -9.4082        -9.09       -8.737       -8.3542       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh4:k=-19.6989,b=0      -9.9353       -9.6945       -9.4082        -9.09       -8.737       -8.3542       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh5:k=-19.5986,b=0      -9.9353       -9.6945       -9.4082        -9.09       -8.737       -8.3542       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh6:k=-19.4982,b=0      -9.7758       -9.5706       -9.3344      -9.0745       -8.737       -8.3542       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh7:k=-19.3978,b=0      -9.5298       -9.3246       -9.0884      -8.8285      -8.5486       -8.2503       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh8:k=-19.2975,b=0      -9.3386       -9.1334       -8.8972      -8.6373      -8.3574       -8.0591       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh9:k=-19.1971,b=0      -9.1845       -8.9793       -8.7431      -8.4832      -8.2033        -7.905       -6.5424       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh10:k=-19.0968,b=0     -9.0569       -8.8517       -8.6154      -8.3556      -8.0757       -7.7774       -6.4219       -6.0344       -5.5129       -4.9849       -4.4625       -3.9715 
    coh11:k=-18.9964,b=0     -8.9489       -8.7437       -8.5074      -8.2476      -7.9677       -7.6694       -6.3139       -5.9419       -5.5129       -4.9849       -4.4625       -3.9715 
    coh12:k=-18.896,b=0       -8.856       -8.6508       -8.4145      -8.1547      -7.8748       -7.5765        -6.221        -5.849       -5.4685       -4.9849       -4.4625       -3.9715 
    coh13:k=-18.7957,b=0     -8.7749       -8.5697       -8.3335      -8.0736      -7.7937       -7.4954         -6.14        -5.768       -5.3875       -4.9849       -4.4625       -3.9715 
    coh14:k=-18.6953,b=0     -8.7034       -8.4982        -8.262      -8.0021      -7.7222       -7.4239       -6.0685       -5.6965        -5.316       -4.9319       -4.4625       -3.9715 
    coh15:k=-18.595,b=0      -8.6398       -8.4345       -8.1983      -7.9384      -7.6585       -7.3602       -6.0048       -5.6328       -5.2523       -4.8682       -4.4625       -3.9715 
    coh16:k=-18.4946,b=0     -8.5825       -8.3773       -8.1411      -7.8812      -7.6013        -7.303       -5.9476       -5.5756       -5.1951        -4.811       -4.4338       -3.9715 
    coh17:k=-18.3942,b=0     -8.5308       -8.3256       -8.0893      -7.8295      -7.5496       -7.2513       -5.8958       -5.5238       -5.1433       -4.7593        -4.382       -3.9715 
    coh18:k=-18.2939,b=0     -8.4837       -8.2785       -8.0422      -7.7823      -7.5024       -7.2041       -5.8487       -5.4767       -5.0962       -4.7121       -4.3349       -3.9715 
    coh19:k=-18.1935,b=0     -8.4405       -8.2353       -7.9991      -7.7392      -7.4593        -7.161       -5.8056       -5.4336        -5.053        -4.669       -4.2918       -3.9415 
    coh20:k=-18.0932,b=0     -8.4008       -8.1956       -7.9594      -7.6995      -7.4196       -7.1213       -5.7659       -5.3939       -5.0134       -4.6293       -4.2521       -3.9018 
    coh21:k=-17.9928,b=0     -8.3642        -8.159       -7.9227      -7.6628      -7.3829       -7.0846       -5.7292       -5.3572       -4.9767       -4.5926       -4.2154       -3.8651 
    coh22:k=-17.8924,b=0     -8.3301       -8.1249       -7.8887      -7.6288      -7.3489       -7.0506       -5.6952       -5.3232       -4.9427       -4.5586       -4.1814       -3.8311 
    coh23:k=-17.7921,b=0     -8.2985       -8.0933        -7.857      -7.5971      -7.3172        -7.019       -5.6635       -5.2915        -4.911       -4.5269       -4.1497       -3.7994 
    coh24:k=-17.6917,b=0     -8.2689       -8.0637       -7.8274      -7.5676      -7.2877       -6.9894       -5.6339       -5.2619       -4.8814       -4.4973       -4.1201       -3.7698 
    coh25:k=-17.5914,b=0     -8.2412        -8.036       -7.7997      -7.5398      -7.2599       -6.9616       -5.6062       -5.2342       -4.8537       -4.4696       -4.0924       -3.7421 
    coh26:k=-17.491,b=0      -8.2151       -8.0099       -7.7737      -7.5138      -7.2339       -6.9356       -5.5802       -5.2082       -4.8277       -4.4436       -4.0664       -3.7161 
    coh27:k=-17.3906,b=0     -8.1906       -7.9854       -7.7492      -7.4893      -7.2094       -6.9111       -5.5557       -5.1837       -4.8031       -4.4191       -4.0419       -3.6915 
    coh28:k=-17.2903,b=0     -8.1675       -7.9623        -7.726      -7.4661      -7.1862       -6.8879       -5.5325       -5.1605         -4.78       -4.3959       -4.0187       -3.6684 
    coh29:k=-17.1899,b=0     -8.1456       -7.9404       -7.7041      -7.4442      -7.1644       -6.8661       -5.5106       -5.1386       -4.7581        -4.374       -3.9968       -3.6465 
    coh30:k=-17.0896,b=0     -8.1248       -7.9196       -7.6834      -7.4235      -7.1436       -6.8453       -5.4899       -5.1179       -4.7373       -4.3533       -3.9761       -3.6257 
    coh31:k=-16.9892,b=0     -8.0904       -7.8824       -7.6414      -7.3772       -7.091       -6.7893       -5.4504       -5.0926       -4.7176       -4.3336       -3.9564        -3.606 
    coh32:k=-16.8888,b=0     -7.9929       -7.7867       -7.5494      -7.2898      -7.0092       -6.7089       -5.3868       -5.0341       -4.6751       -4.3148       -3.9376       -3.5873 
    coh33:k=-16.7885,b=0     -7.9014       -7.6974       -7.4643      -7.2072      -6.9317       -6.6365       -5.3283       -4.9775       -4.6226       -4.2659       -3.9165       -3.5694 
    coh34:k=-16.6881,b=0     -7.8173       -7.6164       -7.3846      -7.1303       -6.858       -6.5672       -5.2723       -4.9255       -4.5726       -4.2185       -3.8725       -3.5512 
    coh35:k=-16.5878,b=0      -7.738       -7.5399       -7.3104      -7.0598      -6.7891       -6.5022       -5.2198        -4.875       -4.5255       -4.1741       -3.8296       -3.5111 
    coh36:k=-16.4874,b=0     -7.6644       -7.4666         -7.24      -6.9927      -6.7249       -6.4406       -5.1699       -4.8281       -4.4802       -4.1312       -3.7897       -3.4727 
    coh37:k=-16.387,b=0      -7.5947       -7.3987       -7.1747      -6.9279      -6.6636       -6.3823       -5.1216       -4.7826       -4.4375       -4.0905       -3.7509       -3.4359 
    coh38:k=-16.2867,b=0      -7.529       -7.3351       -7.1133      -6.8684      -6.6068       -6.3268       -5.0763       -4.7396       -4.3963       -4.0512       -3.7137        -3.401 
    coh39:k=-16.1863,b=0     -7.4665       -7.2744       -7.0539      -6.8116      -6.5522       -6.2751       -5.0327       -4.6985       -4.3573       -4.0137       -3.6774       -3.3527 
    coh40:k=-16.086,b=0      -7.4088       -7.2176       -6.9977      -6.7577      -6.4996       -6.2252       -4.9915       -4.6586       -4.3194       -3.9773       -3.6415       -3.2925 
    coh41:k=-15.9856,b=0     -7.3538       -7.1633       -6.9452      -6.7072      -6.4504       -6.1785       -4.9519        -4.621       -4.2831       -3.9424       -3.5966       -3.2268 
    coh42:k=-15.8852,b=0     -7.3006       -7.1111       -6.8947      -6.6583      -6.4033       -6.1332       -4.9141       -4.5844       -4.2477       -3.9069       -3.5396       -3.1616 
    coh43:k=-15.7849,b=0     -7.2505       -7.0623       -6.8473      -6.6113      -6.3583       -6.0894       -4.8778       -4.5496       -4.2137       -3.8653       -3.4815       -3.0974 
    coh44:k=-15.6845,b=0     -7.2026       -7.0156        -6.802       -6.567      -6.3157       -6.0483       -4.8427       -4.5157       -4.1795        -3.813       -3.4245       -3.0325 
    coh45:k=-15.5842,b=0     -7.1567       -6.9708       -6.7577      -6.5241      -6.2745       -6.0085       -4.8089       -4.4824       -4.1385       -3.7599       -3.3665       -2.9665 
    coh46:k=-15.4838,b=0     -7.1137       -6.9287        -6.716      -6.4838      -6.2355       -5.9706        -4.776       -4.4497       -4.0882       -3.7066       -3.3074       -2.8989 
    coh47:k=-15.3834,b=0     -7.0721       -6.8876       -6.6758      -6.4448      -6.1975       -5.9341        -4.744       -4.4054        -4.036       -3.6515       -3.2473        -2.832 
    coh48:k=-15.2831,b=0     -7.0326        -6.848       -6.6373      -6.4075      -6.1608        -5.899       -4.7107        -4.353       -3.9833       -3.5974       -3.1882       -2.7658 
    coh49:k=-15.1827,b=0     -6.9942       -6.8104       -6.6006      -6.3719       -6.126       -5.8655        -4.659       -4.3013       -3.9317       -3.5442       -3.1299       -2.6992 
    coh50:k=-15.0824,b=0     -6.9568       -6.7739        -6.565      -6.3371       -6.092       -5.8328       -4.6063       -4.2502       -3.8811       -3.4912       -3.0705       -2.6316 
    coh723:k=52.3596,b=0      15.043        15.087        15.139       15.196       15.258        15.327        15.674        15.782        15.899        16.024        16.154        16.283 
    coh724:k=52.46,b=0        15.052        15.096        15.148       15.205       15.267        15.336        15.683         15.79        15.907        16.032        16.162         16.29 
    coh725:k=52.5603,b=0      15.062        15.106        15.157       15.214       15.276        15.345        15.691        15.798        15.915        16.039        16.169        16.297 
    coh726:k=52.6607,b=0      15.071        15.115        15.167       15.223       15.285        15.353        15.699        15.806        15.923        16.047        16.177        16.305 
    coh727:k=52.7611,b=0       15.08        15.124        15.176       15.232       15.294        15.362        15.707        15.815         15.93        16.055        16.184        16.312 
    coh728:k=52.8614,b=0       15.09        15.134        15.185       15.241       15.303        15.371        15.715        15.823        15.938        16.062        16.192        16.319 
    coh729:k=52.9618,b=0      15.099        15.143        15.194       15.251       15.312         15.38        15.724        15.831        15.946         16.07        16.199        16.327 
    coh730:k=53.0621,b=0      15.108        15.152        15.203        15.26       15.321        15.389        15.732        15.839        15.954        16.078        16.207        16.334 
    coh731:k=53.1625,b=0      15.118        15.162        15.212       15.269        15.33        15.398         15.74        15.847        15.962        16.085        16.214        16.341 
    coh732:k=53.2629,b=0      15.127        15.171        15.222       15.278       15.339        15.406        15.748        15.855         15.97        16.093        16.222        16.348 
    coh733:k=53.3632,b=0      15.136         15.18        15.231       15.287       15.348        15.415        15.756        15.863        15.977        16.101        16.229        16.355 
    coh734:k=53.4636,b=0      15.146        15.189         15.24       15.296       15.357        15.424        15.764         15.87        15.985        16.108        16.236        16.363 
    coh735:k=53.5639,b=0      15.155        15.198        15.249       15.305       15.366        15.433        15.772        15.878        15.993        16.116        16.244         16.37 
    coh736:k=53.6643,b=0      15.164        15.207        15.258       15.314       15.375        15.441        15.781        15.886        16.001        16.123        16.251        16.377 
    coh737:k=53.7647,b=0      15.173        15.217        15.267       15.323       15.384         15.45        15.789        15.894        16.008        16.131        16.259        16.384 
    coh738:k=53.865,b=0       15.183        15.226        15.276       15.332       15.392        15.459        15.797        15.902        16.016        16.138        16.266        16.391 
    coh739:k=53.9654,b=0      15.192        15.235        15.285       15.341       15.401        15.468        15.805         15.91        16.024        16.146        16.273        16.399 
    coh740:k=54.0657,b=0      15.201        15.244        15.294       15.349        15.41        15.476        15.813        15.918        16.032        16.154        16.281        16.406 
    coh741:k=54.1661,b=0       15.21        15.253        15.303       15.358       15.419        15.485        15.821        15.926        16.039        16.161        16.288        16.413 
    coh742:k=54.2665,b=0      15.219        15.262        15.312       15.367       15.428        15.494        15.829        15.934        16.047        16.169        16.295         16.42 
    coh743:k=54.3668,b=0      15.228        15.271        15.321       15.376       15.436        15.502        15.837        15.941        16.055        16.176        16.303        16.426 
    coh744:k=54.4672,b=0      15.238         15.28         15.33       15.385       15.445        15.511        15.845        15.949        16.062        16.184         16.31        16.433 
    coh745:k=54.5675,b=0      15.247        15.289        15.339       15.394       15.454        15.519        15.853        15.957         16.07        16.191        16.317         16.44 
    coh746:k=54.6679,b=0      15.247         15.29        15.339       15.394       15.455        15.523        15.861        15.965        16.078        16.198        16.324        16.447 
    coh747:k=54.7683,b=0      15.252        15.295        15.346       15.402       15.464        15.532        15.869        15.973        16.085        16.206        16.331        16.454 
    coh748:k=54.8686,b=0      15.261        15.304        15.355       15.411       15.473         15.54        15.877         15.98        16.093        16.213        16.338        16.461 
    coh749:k=54.969,b=0        15.27        15.313        15.364        15.42       15.481        15.549        15.885        15.988          16.1        16.221        16.346        16.468 
    coh750:k=55.0693,b=0      15.279        15.322        15.373       15.429        15.49        15.557        15.892        15.996        16.108        16.228        16.353        16.475 
    coh751:k=55.1697,b=0      15.288        15.331        15.382       15.437       15.499        15.565          15.9        16.004        16.116        16.235         16.36        16.482 
    coh752:k=55.2701,b=0      15.296         15.34         15.39       15.446       15.507        15.574        15.908        16.011        16.123        16.243        16.367        16.488 
    coh753:k=55.3704,b=0      15.305        15.349        15.399       15.455       15.516        15.582        15.916        16.019        16.131         16.25        16.374        16.494 
    coh754:k=55.4708,b=0      15.314        15.358        15.408       15.463       15.524        15.591        15.924        16.027        16.138        16.257        16.381          16.5 
    coh755:k=55.5711,b=0      15.323        15.366        15.417       15.472       15.533        15.599        15.932        16.035        16.146        16.265        16.387        16.506 
    coh756:k=55.6715,b=0      15.332        15.375        15.425       15.481       15.541        15.608         15.94        16.042        16.153        16.272        16.394        16.512 
    coh757:k=55.7719,b=0      15.341        15.384        15.434       15.489        15.55        15.616        15.947         16.05        16.161        16.279        16.401        16.519 
    coh758:k=55.8722,b=0       15.35        15.393        15.443       15.498       15.558        15.624        15.955        16.058        16.168        16.286        16.408        16.526 
    coh759:k=55.9726,b=0      15.359        15.402        15.452       15.507       15.567        15.633        15.963        16.065        16.176        16.293        16.415        16.533 
    coh760:k=56.0729,b=0      15.368         15.41         15.46       15.515       15.575        15.641        15.971        16.073        16.183        16.301        16.422         16.54 
    coh761:k=56.1733,b=0      15.376        15.419        15.469       15.524       15.584         15.65        15.979         16.08         16.19        16.308        16.429        16.546 
    coh762:k=56.2737,b=0      15.381        15.424        15.473       15.528       15.588        15.654        15.983        16.084        16.194        16.312        16.433         16.55 
    coh763:k=56.374,b=0       15.382        15.424        15.474       15.529       15.589        15.654        15.983        16.085        16.195        16.312        16.433         16.55 
    coh764:k=56.4744,b=0      15.382        15.425        15.474       15.529       15.589        15.655        15.984        16.085        16.195        16.313        16.434        16.551 
    coh765:k=56.5747,b=0      15.383        15.425        15.475        15.53        15.59        15.655        15.984        16.086        16.196        16.313        16.434        16.555 
    coh766:k=56.6751,b=0      15.383        15.426        15.475        15.53        15.59        15.656        15.985        16.086        16.196        16.314        16.439        16.562 
    coh767:k=56.7755,b=0      15.384        15.426        15.476       15.531       15.591        15.656        15.986        16.089        16.201        16.321        16.446        16.569 
    coh768:k=56.8758,b=0      15.384        15.427        15.476       15.531       15.592        15.659        15.993        16.097        16.209        16.329        16.453        16.575 
    coh769:k=56.9762,b=0      15.389        15.433        15.483       15.539         15.6        15.667        16.001        16.104        16.216        16.336         16.46        16.581 
    coh770:k=57.0765,b=0      15.398        15.441        15.492       15.547       15.608        15.675        16.009        16.112        16.223        16.343        16.467        16.587 
    coh771:k=57.1769,b=0      15.407         15.45          15.5       15.556       15.617        15.683        16.016        16.119        16.231         16.35        16.473        16.592 
    coh772:k=57.2773,b=0      15.415        15.458        15.509       15.564       15.625        15.691        16.024        16.127        16.238        16.357        16.479        16.598 

tb_pol_a: optimal safe savings choice for each state space point
                            z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                            __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    coh1:k=-20,b=0           -0.81633      -0.81633      -1.2245      -1.6327      -1.6327       -2.0408       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh2:k=-19.8996,b=0      -0.81633      -0.81633      -1.2245      -1.6327      -1.6327       -2.0408       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh3:k=-19.7993,b=0      -0.81633      -0.81633      -1.2245      -1.6327      -1.6327       -2.0408       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh4:k=-19.6989,b=0      -0.81633      -0.81633      -1.2245      -1.6327      -1.6327       -2.0408       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh5:k=-19.5986,b=0      -0.81633      -0.81633      -1.2245      -1.6327      -1.6327       -2.0408       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh6:k=-19.4982,b=0           -20           -20          -20          -20      -1.6327       -2.0408       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh7:k=-19.3978,b=0           -20           -20          -20          -20          -20           -20       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh8:k=-19.2975,b=0           -20           -20          -20          -20          -20           -20       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh9:k=-19.1971,b=0           -20           -20          -20          -20          -20           -20       -4.0816        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh10:k=-19.0968,b=0          -20           -20          -20          -20          -20           -20           -20        -4.898       -5.7143       -6.5306       -7.7551       -9.3878 
    coh11:k=-18.9964,b=0          -20           -20          -20          -20          -20           -20           -20           -20       -5.7143       -6.5306       -7.7551       -9.3878 
    coh12:k=-18.896,b=0           -20           -20          -20          -20          -20           -20           -20           -20           -20       -6.5306       -7.7551       -9.3878 
    coh13:k=-18.7957,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20       -6.5306       -7.7551       -9.3878 
    coh14:k=-18.6953,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20       -7.7551       -9.3878 
    coh15:k=-18.595,b=0           -20           -20          -20          -20          -20           -20           -20           -20           -20           -20       -7.7551       -9.3878 
    coh16:k=-18.4946,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20       -9.3878 
    coh17:k=-18.3942,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20       -9.3878 
    coh18:k=-18.2939,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20       -9.3878 
    coh19:k=-18.1935,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh20:k=-18.0932,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh21:k=-17.9928,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh22:k=-17.8924,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh23:k=-17.7921,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh24:k=-17.6917,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh25:k=-17.5914,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh26:k=-17.491,b=0           -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh27:k=-17.3906,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh28:k=-17.2903,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh29:k=-17.1899,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh30:k=-17.0896,b=0          -20           -20          -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh31:k=-16.9892,b=0      -18.791       -18.956      -19.173      -19.456      -19.689           -20           -20           -20           -20           -20           -20           -20 
    coh32:k=-16.8888,b=0      -18.722       -18.952      -19.118      -19.386      -19.627           -20           -20           -20           -20           -20           -20           -20 
    coh33:k=-16.7885,b=0      -18.719       -18.891      -19.062      -19.325      -19.563       -19.926           -20           -20           -20           -20           -20           -20 
    coh34:k=-16.6881,b=0       -18.65       -18.827      -19.064      -19.277      -19.567       -19.857           -20           -20           -20           -20           -20           -20 
    coh35:k=-16.5878,b=0       -18.59       -18.762      -18.983      -19.204      -19.502       -19.865           -20           -20           -20           -20           -20           -20 
    coh36:k=-16.4874,b=0      -18.549       -18.768      -18.904      -19.214      -19.453        -19.81           -20           -20           -20           -20           -20           -20 
    coh37:k=-16.387,b=0       -18.554       -18.703      -18.843       -19.14       -19.41       -19.767           -20           -20           -20           -20           -20           -20 
    coh38:k=-16.2867,b=0      -18.493       -18.637      -18.855      -19.087      -19.421       -19.735           -20           -20           -20           -20           -20           -20 
    coh39:k=-16.1863,b=0      -18.421       -18.569      -18.795      -19.033      -19.377       -19.676           -20           -20           -20           -20           -20           -20 
    coh40:k=-16.086,b=0       -18.347       -18.587      -18.733      -18.978      -19.328       -19.617           -20           -20           -20           -20           -20           -20 
    coh41:k=-15.9856,b=0       -18.29       -18.519      -18.696      -18.921      -19.253       -19.637           -20           -20           -20           -20           -20           -20 
    coh42:k=-15.8852,b=0      -18.303       -18.451      -18.657      -18.942       -19.19       -19.594           -20           -20           -20           -20           -20           -20 
    coh43:k=-15.7849,b=0      -18.262       -18.381      -18.592      -18.886      -19.141       -19.556           -20           -20           -20           -20           -20           -20 
    coh44:k=-15.6845,b=0      -18.201       -18.328      -18.525      -18.828      -19.089       -19.487           -20           -20           -20           -20           -20           -20 
    coh45:k=-15.5842,b=0      -18.126        -18.29      -18.557       -18.77      -19.037       -19.425           -20           -20           -20           -20           -20           -20 
    coh46:k=-15.4838,b=0      -18.081       -18.218      -18.491      -18.709      -19.066       -19.382           -20           -20           -20           -20           -20           -20 
    coh47:k=-15.3834,b=0      -18.028       -18.257      -18.425      -18.648      -19.014        -19.32           -20           -20           -20           -20           -20           -20 
    coh48:k=-15.2831,b=0      -17.949       -18.186      -18.357      -18.585      -18.961       -19.243           -20           -20           -20           -20           -20           -20 
    coh49:k=-15.1827,b=0      -17.996       -18.138      -18.313       -18.52      -18.907       -19.188           -20           -20           -20           -20           -20           -20 
    coh50:k=-15.0824,b=0      -17.921       -18.098      -18.276      -18.565      -18.852       -19.139           -20           -20           -20           -20           -20           -20 
    coh723:k=52.3596,b=0       46.543        45.157       45.157       45.157        43.77         43.77        36.959        35.603        32.891        31.535        27.466        24.754 
    coh724:k=52.46,b=0         46.635        45.247       45.247       45.247       43.859        43.859        37.038         35.68        32.964        31.606        27.532        24.816 
    coh725:k=52.5603,b=0       46.728        45.338       45.338       45.338       43.947        43.947        37.117        35.758        33.038        31.678        27.598        24.878 
    coh726:k=52.6607,b=0        46.82        45.428       45.428       45.428       44.036        44.036        37.196        35.835        33.111        31.749        27.664         24.94 
    coh727:k=52.7611,b=0       46.912        45.518       45.518       45.518       44.124        44.124        37.275        35.912        33.184        31.821         27.73        25.002 
    coh728:k=52.8614,b=0       47.005        45.609       45.609       45.609       44.213        44.213        37.354        35.989        33.258        31.892        28.101        25.064 
    coh729:k=52.9618,b=0       47.097        45.699       45.699       45.699       44.301        44.301        37.433        36.066        33.331        31.964        29.229        25.126 
    coh730:k=53.0621,b=0       47.189        45.789       45.789       45.789        44.39         44.39        37.512        36.143        33.404        32.035        29.296        25.188 
    coh731:k=53.1625,b=0       47.281         45.88        45.88        45.88       44.478        44.478        37.591         36.22        33.478        32.107        29.364         25.25 
    coh732:k=53.2629,b=0       47.374         45.97        45.97        45.97       44.567        44.567         37.67        36.297        33.551        32.178        29.432        25.313 
    coh733:k=53.3632,b=0       47.466        46.061       46.061       46.061       44.655        44.655        37.749        36.374        34.751         32.25          29.5        25.375 
    coh734:k=53.4636,b=0       47.558        46.151       46.151       46.151       44.743        44.743        37.828        36.452        35.075        32.321        29.567        25.437 
    coh735:k=53.5639,b=0       47.651        46.241       46.241       46.241       44.832        44.832        37.907        36.529         35.15        32.392        29.635        25.499 
    coh736:k=53.6643,b=0       47.743        46.332       46.332       46.332        44.92         44.92        37.986        36.606        35.225        32.464        29.703        25.561 
    coh737:k=53.7647,b=0       47.835        46.422       46.422       46.422       45.009        45.009        38.065        36.683          35.3        32.535         29.77        25.623 
    coh738:k=53.865,b=0        47.928        46.512       46.512       46.512       45.097        45.097        38.144         36.76        35.376        32.607        29.838        25.685 
    coh739:k=53.9654,b=0        48.02        46.603       46.603       46.603       45.186        45.186        38.223        36.837        35.451        32.678        29.906        25.747 
    coh740:k=54.0657,b=0       48.112        46.693       46.693       46.693       45.274        45.274        38.302        36.914        35.526         32.75        29.974         26.16 
    coh741:k=54.1661,b=0       48.204        46.783       46.783       46.783       45.363        45.363        38.381        36.991        35.601        32.821        30.041        27.261 
    coh742:k=54.2665,b=0       48.297        46.874       46.874       46.874       45.451        45.451         38.46        37.069        35.677        32.893        30.109        27.325 
    coh743:k=54.3668,b=0       48.389        46.964       46.964       46.964       45.539        45.539        38.539        37.146        35.752        32.964        30.177        27.389 
    coh744:k=54.4672,b=0       48.481        47.055       47.055       47.055       45.628        45.628        38.618        37.223        35.827        33.036        30.244        27.453 
    coh745:k=54.5675,b=0       48.574        47.145       47.145       47.145       45.716        45.716        38.697          37.3        35.902        33.107        30.312        27.517 
    coh746:k=54.6679,b=0       48.668        47.239       47.239       47.239       44.374        44.374        38.776        37.377        35.978        33.179         30.38        27.581 
    coh747:k=54.7683,b=0       47.263        45.862       45.862       45.862       44.461        44.461        38.855        37.454        36.053         33.25        30.448        27.645 
    coh748:k=54.8686,b=0       47.354         45.95        45.95        45.95       44.547        44.547        38.934        37.531        36.128        33.322        30.515        27.709 
    coh749:k=54.969,b=0        47.444        46.039       46.039       46.039       44.634        44.634        39.013        37.608        36.203        33.393        30.583        27.773 
    coh750:k=55.0693,b=0       47.534        46.127       46.127       46.127        44.72         44.72        39.092        37.686        36.279        33.465        30.651        27.837 
    coh751:k=55.1697,b=0       47.625        46.216       46.216       46.216       44.807        44.807        39.681        37.763        36.354        33.536        30.718        27.901 
    coh752:k=55.2701,b=0       47.715        46.304       46.304       46.304       44.893        44.893        40.661         37.84        36.429        33.608        30.786        28.361 
    coh753:k=55.3704,b=0       47.805        46.393       46.393       46.393        44.98         44.98        40.742        37.917        36.504        33.679        31.136        29.441 
    coh754:k=55.4708,b=0       47.895        46.481       46.481       46.481       45.066        45.066        40.823        37.994         36.58        33.751        32.336        29.339 
    coh755:k=55.5711,b=0       47.986        46.569       46.569       46.569       45.153        45.153        40.904        38.071        36.655        33.822        32.352        28.157 
    coh756:k=55.6715,b=0       48.076        46.658       46.658       46.658       45.239        45.239        40.985        38.148         36.73        33.893        31.118         28.22 
    coh757:k=55.7719,b=0       48.166        46.746       46.746       46.746       45.326        45.326        41.066        38.225        36.805        33.965        31.125        28.284 
    coh758:k=55.8722,b=0       48.257        46.835       46.835       46.835       45.413        45.413        41.147        38.302         36.88        34.036        31.192        28.348 
    coh759:k=55.9726,b=0       48.347        46.923       46.923       46.923       45.499        45.499        41.227         38.38        36.956        34.108         31.26        28.412 
    coh760:k=56.0729,b=0       48.437        47.011       47.011       47.011       45.586        45.586        41.308        38.457        37.031        34.179        31.328        28.476 
    coh761:k=56.1733,b=0       48.527          47.1         47.1         47.1       45.672        45.672        41.389        38.534        37.106        34.251        31.396         28.54 
    coh762:k=56.2737,b=0       48.619         47.19        47.19        47.19       45.762        45.762        41.476        38.619         37.19        34.333        31.476        28.619 
    coh763:k=56.374,b=0        48.711        47.282       47.282       47.282       45.854        45.854        41.568        38.711        37.282        34.425        31.568        28.711 
    coh764:k=56.4744,b=0       48.803        47.374       47.374       47.374       45.946        45.946         41.66        38.803        37.374        34.517         31.66        28.803 
    coh765:k=56.5747,b=0       48.895        47.467       47.467       47.467       46.038        46.038        41.752        38.895        37.467        34.609        31.752        27.712 
    coh766:k=56.6751,b=0       48.987        47.559       47.559       47.559        46.13         46.13        41.844        38.987        37.559        33.395        30.584        27.774 
    coh767:k=56.7755,b=0        49.08        47.651       47.651       47.651       46.222        46.222        39.092        37.686        36.279        33.465        30.651        27.837 
    coh768:k=56.8758,b=0       49.172        47.743       47.743       47.743       44.805        44.805        39.651        37.761        36.352        33.535        30.717        27.899 
    coh769:k=56.9762,b=0       47.711          46.3         46.3         46.3        44.89         44.89        40.658        37.836        36.426        33.604        30.783          28.3 
    coh770:k=57.0765,b=0       47.799        46.387       46.387       46.387       44.974        44.974        40.737        37.912        36.499        33.674        31.045        29.437 
    coh771:k=57.1769,b=0       47.887        46.473       46.473       46.473       45.059        45.059        40.816        37.987        36.573        33.744         32.33        29.449 
    coh772:k=57.2773,b=0       47.976         46.56        46.56        46.56       45.143        45.143        40.895        38.063        36.646        33.814        32.398         28.24 

tb_pol_k: optimal risky investment choice for each state space point
                            z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                            __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    coh1:k=-20,b=0           0.81633       0.81633       1.2245       1.6327        1.6327        2.0408        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh2:k=-19.8996,b=0      0.81633       0.81633       1.2245       1.6327        1.6327        2.0408        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh3:k=-19.7993,b=0      0.81633       0.81633       1.2245       1.6327        1.6327        2.0408        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh4:k=-19.6989,b=0      0.81633       0.81633       1.2245       1.6327        1.6327        2.0408        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh5:k=-19.5986,b=0      0.81633       0.81633       1.2245       1.6327        1.6327        2.0408        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh6:k=-19.4982,b=0            0             0            0            0        1.6327        2.0408        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh7:k=-19.3978,b=0            0             0            0            0             0             0        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh8:k=-19.2975,b=0            0             0            0            0             0             0        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh9:k=-19.1971,b=0            0             0            0            0             0             0        4.0816         4.898        5.7143        6.5306        7.7551       9.3878  
    coh10:k=-19.0968,b=0           0             0            0            0             0             0             0         4.898        5.7143        6.5306        7.7551       9.3878  
    coh11:k=-18.9964,b=0           0             0            0            0             0             0             0             0        5.7143        6.5306        7.7551       9.3878  
    coh12:k=-18.896,b=0            0             0            0            0             0             0             0             0             0        6.5306        7.7551       9.3878  
    coh13:k=-18.7957,b=0           0             0            0            0             0             0             0             0             0        6.5306        7.7551       9.3878  
    coh14:k=-18.6953,b=0           0             0            0            0             0             0             0             0             0             0        7.7551       9.3878  
    coh15:k=-18.595,b=0            0             0            0            0             0             0             0             0             0             0        7.7551       9.3878  
    coh16:k=-18.4946,b=0           0             0            0            0             0             0             0             0             0             0             0       9.3878  
    coh17:k=-18.3942,b=0           0             0            0            0             0             0             0             0             0             0             0       9.3878  
    coh18:k=-18.2939,b=0           0             0            0            0             0             0             0             0             0             0             0       9.3878  
    coh19:k=-18.1935,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh20:k=-18.0932,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh21:k=-17.9928,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh22:k=-17.8924,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh23:k=-17.7921,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh24:k=-17.6917,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh25:k=-17.5914,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh26:k=-17.491,b=0            0             0            0            0             0             0             0             0             0             0             0            0  
    coh27:k=-17.3906,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh28:k=-17.2903,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh29:k=-17.1899,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh30:k=-17.0896,b=0           0             0            0            0             0             0             0             0             0             0             0            0  
    coh31:k=-16.9892,b=0     0.81822       0.98374       1.1389       1.3608        1.5943        1.8433         1.659        1.5976             0             0             0            0  
    coh32:k=-16.8888,b=0     0.81684       0.98399       1.1499       1.3546        1.5956        1.9048        1.7143        1.6508        1.5873             0             0            0  
    coh33:k=-16.7885,b=0      0.8168       0.98801       1.1592       1.3572        1.5948        1.8918        1.7696        1.7041        1.6385         1.573        1.5074            0  
    coh34:k=-16.6881,b=0     0.81314        0.9897       1.1589       1.3727        1.5951        1.8847        1.8249        1.7573        1.6897        1.6221        1.5546        1.487  
    coh35:k=-16.5878,b=0      0.8186       0.99013       1.1422       1.3624        1.5913        1.8841        1.8802        1.8106        1.7409        1.6713        1.6017        1.532  
    coh36:k=-16.4874,b=0     0.84267       0.99026       1.1263       1.3644        1.6039        1.8889        1.8638        1.8638        1.7921        1.7205        1.6488       1.5771  
    coh37:k=-16.387,b=0      0.83966       0.98896       1.1289       1.3516        1.6225        1.9056        1.9171        1.9171        1.8433        1.7696        1.6959       1.6221  
    coh38:k=-16.2867,b=0      0.8421       0.98593       1.1284       1.3604        1.6183        1.9323        1.9703        1.8946        1.8946        1.8188         1.743       1.6672  
    coh39:k=-16.1863,b=0     0.83408        0.9818       1.1298        1.368        1.6344         1.933        2.0236        1.9458        1.9458        1.8679        1.8679       2.3349  
    coh40:k=-16.086,b=0      0.82372       0.98304       1.1298       1.3743        1.6449        1.9334        2.0768         1.997         1.997        1.9171        1.9171       2.5561  
    coh41:k=-15.9856,b=0      0.8293        0.9772       1.1537       1.3785        1.6292        1.9308        2.1301        2.0482        2.0482        1.9662        2.4578       2.7036  
    coh42:k=-15.8852,b=0     0.82261       0.97044       1.1761       1.3771        1.6256        1.9455        2.1833        2.0994        2.0994        2.0994        2.6872       2.7712  
    coh43:k=-15.7849,b=0     0.84267       0.96166       1.1723       1.3807        1.6353        1.9644        2.2366        2.1506        2.1506        2.6667        2.7527       2.8388  
    coh44:k=-15.6845,b=0     0.84363       0.97058       1.1672       1.3825        1.6431        1.9527        2.2898        2.2018        2.2898        2.8183        2.8183       2.9944  
    coh45:k=-15.5842,b=0     0.82983       0.99315       1.1701       1.3834        1.6501        1.9483        2.3431        2.3431        2.7937        2.8838        2.9739       3.0641  
    coh46:k=-15.4838,b=0     0.84644       0.98299        1.164       1.3822        1.6463        1.9623        2.3964        2.4885        2.9494        3.0415        3.1337       3.2259  
    coh47:k=-15.3834,b=0     0.85433       0.98968        1.157         1.38        1.6521        1.9583        2.4496        3.1091        3.1091        3.1091        3.2033       3.2975  
    coh48:k=-15.2831,b=0     0.83677       0.97755       1.1485       1.3764        1.6568        1.9384        3.0804        3.1767        3.1767        3.1767         3.273       3.3692  
    coh49:k=-15.1827,b=0     0.84731       0.98914       1.1637        1.371        1.6596        1.9405        3.2443        3.2443        3.2443        3.2443        3.3426       3.5392  
    coh50:k=-15.0824,b=0     0.83155        1.0084       1.1866       1.3751        1.6619        1.9486        3.4122        3.3119        3.3119        3.4122        3.5126        3.613  
    coh723:k=52.3596,b=0      1.3863        2.7726       2.7726       2.7726        4.1589        4.1589        9.4932        10.849        13.562        14.918        18.986       21.699  
    coh724:k=52.46,b=0        1.3882        2.7765       2.7765       2.7765        4.1647        4.1647        9.5064        10.864        13.581        14.939        19.013       21.729  
    coh725:k=52.5603,b=0      1.3902        2.7803       2.7803       2.7803        4.1705        4.1705        9.5196         10.88        13.599        14.959        19.039       21.759  
    coh726:k=52.6607,b=0      1.3921        2.7842       2.7842       2.7842        4.1763        4.1763        9.5327        10.895        13.618         14.98        19.065       21.789  
    coh727:k=52.7611,b=0       1.394         2.788        2.788        2.788         4.182         4.182        9.5459         10.91        13.637        15.001        19.092       21.819  
    coh728:k=52.8614,b=0      1.3959        2.7919       2.7919       2.7919        4.1878        4.1878        9.5591        10.925        13.656        15.021        18.812       21.849  
    coh729:k=52.9618,b=0      1.3979        2.7957       2.7957       2.7957        4.1936        4.1936        9.5722         10.94        13.675        15.042        17.777       21.879  
    coh730:k=53.0621,b=0      1.3998        2.7995       2.7995       2.7995        4.1993        4.1993        9.5854        10.955        13.693        15.063        17.801        21.91  
    coh731:k=53.1625,b=0      1.4017        2.8034       2.8034       2.8034        4.2051        4.2051        9.5986         10.97        13.712        15.083        17.826        21.94  
    coh732:k=53.2629,b=0      1.4036        2.8072       2.8072       2.8072        4.2109        4.2109        9.6117        10.985        13.731        15.104         17.85        21.97  
    coh733:k=53.3632,b=0      1.4055        2.8111       2.8111       2.8111        4.2166        4.2166        9.6249            11        12.624        15.125        17.875           22  
    coh734:k=53.4636,b=0      1.4075        2.8149       2.8149       2.8149        4.2224        4.2224        9.6381        11.015        12.392        15.146        17.899        22.03  
    coh735:k=53.5639,b=0      1.4094        2.8188       2.8188       2.8188        4.2282        4.2282        9.6512         11.03        12.409        15.166        17.924        22.06  
    coh736:k=53.6643,b=0      1.4113        2.8226       2.8226       2.8226        4.2339        4.2339        9.6644        11.045        12.426        15.187        17.948        22.09  
    coh737:k=53.7647,b=0      1.4132        2.8265       2.8265       2.8265        4.2397        4.2397        9.6776         11.06        12.443        15.208        17.973        22.12  
    coh738:k=53.865,b=0       1.4152        2.8303       2.8303       2.8303        4.2455        4.2455        9.6907        11.075         12.46        15.228        17.997        22.15  
    coh739:k=53.9654,b=0      1.4171        2.8342       2.8342       2.8342        4.2512        4.2512        9.7039         11.09        12.476        15.249        18.022        22.18  
    coh740:k=54.0657,b=0       1.419         2.838        2.838        2.838         4.257         4.257        9.7171        11.105        12.493         15.27        18.046        21.86  
    coh741:k=54.1661,b=0      1.4209        2.8418       2.8418       2.8418        4.2628        4.2628        9.7302         11.12         12.51         15.29         18.07       20.851  
    coh742:k=54.2665,b=0      1.4228        2.8457       2.8457       2.8457        4.2685        4.2685        9.7434        11.135        12.527        15.311        18.095       20.879  
    coh743:k=54.3668,b=0      1.4248        2.8495       2.8495       2.8495        4.2743        4.2743        9.7566         11.15        12.544        15.332        18.119       20.907  
    coh744:k=54.4672,b=0      1.4267        2.8534       2.8534       2.8534        4.2801        4.2801        9.7697        11.165        12.561        15.352        18.144       20.935  
    coh745:k=54.5675,b=0      1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        9.7829         11.18        12.578        15.373        18.168       20.963  
    coh746:k=54.6679,b=0      1.4286        2.8571       2.8571       2.8571        4.1983        4.1983        9.7961        11.196        12.595        15.394        18.193       20.992  
    coh747:k=54.7683,b=0      1.4013        2.8026       2.8026       2.8026         4.204         4.204        9.8092        11.211        12.612        15.415        18.217        21.02  
    coh748:k=54.8686,b=0      1.4032        2.8064       2.8064       2.8064        4.2096        4.2096        9.8224        11.226        12.629        15.435        18.242       21.048  
    coh749:k=54.969,b=0       1.4051        2.8102       2.8102       2.8102        4.2152        4.2152        9.8356        11.241        12.646        15.456        18.266       21.076  
    coh750:k=55.0693,b=0       1.407        2.8139       2.8139       2.8139        4.2209        4.2209        9.8487        11.256        12.663        15.477        18.291       21.104  
    coh751:k=55.1697,b=0      1.4088        2.8177       2.8177       2.8177        4.2265        4.2265         9.352        11.271         12.68        15.497        18.315       21.133  
    coh752:k=55.2701,b=0      1.4107        2.8215       2.8215       2.8215        4.2322        4.2322        8.4644        11.286        12.697        15.518        18.339       20.765  
    coh753:k=55.3704,b=0      1.4126        2.8252       2.8252       2.8252        4.2378        4.2378        8.4756        11.301        12.713        15.539        18.081       19.776  
    coh754:k=55.4708,b=0      1.4145         2.829        2.829        2.829        4.2435        4.2435        8.4869        11.316         12.73        15.559        16.974       19.971  
    coh755:k=55.5711,b=0      1.4164        2.8327       2.8327       2.8327        4.2491        4.2491        8.4982        11.331        12.747         15.58         17.05       21.246  
    coh756:k=55.6715,b=0      1.4182        2.8365       2.8365       2.8365        4.2547        4.2547        8.5095        11.346        12.764        15.601        18.376       21.274  
    coh757:k=55.7719,b=0      1.4201        2.8403       2.8403       2.8403        4.2604        4.2604        8.5208        11.361        12.781        15.621        18.462       21.302  
    coh758:k=55.8722,b=0       1.422         2.844        2.844        2.844         4.266         4.266        8.5321        11.376        12.798        15.642        18.486        21.33  
    coh759:k=55.9726,b=0      1.4239        2.8478       2.8478       2.8478        4.2717        4.2717        8.5434        11.391        12.815        15.663        18.511       21.358  
    coh760:k=56.0729,b=0      1.4258        2.8515       2.8515       2.8515        4.2773        4.2773        8.5546        11.406        12.832        15.684        18.535       21.387  
    coh761:k=56.1733,b=0      1.4277        2.8553       2.8553       2.8553         4.283         4.283        8.5659        11.421        12.849        15.704         18.56       21.415  
    coh762:k=56.2737,b=0      1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        8.5714        11.429        12.857        15.714        18.571       21.429  
    coh763:k=56.374,b=0       1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        8.5714        11.429        12.857        15.714        18.571       21.429  
    coh764:k=56.4744,b=0      1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        8.5714        11.429        12.857        15.714        18.571       21.429  
    coh765:k=56.5747,b=0      1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        8.5714        11.429        12.857        15.714        18.571       21.049  
    coh766:k=56.6751,b=0      1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        8.5714        11.429        12.857        15.456        18.267       21.077  
    coh767:k=56.7755,b=0      1.4286        2.8571       2.8571       2.8571        4.2857        4.2857        9.8487        11.256        12.663        15.477        18.291       21.104  
    coh768:k=56.8758,b=0      1.4286        2.8571       2.8571       2.8571        4.2264        4.2264        9.3805         11.27        12.679        15.497        18.314       21.132  
    coh769:k=56.9762,b=0      1.4106        2.8213       2.8213       2.8213        4.2319        4.2319        8.4639        11.285        12.696        15.517        18.338       20.821  
    coh770:k=57.0765,b=0      1.4125         2.825        2.825        2.825        4.2374        4.2374        8.4749          11.3        12.712        15.537        18.167       19.775  
    coh771:k=57.1769,b=0      1.4143        2.8286       2.8286       2.8286         4.243         4.243        8.4859        11.315        12.729        15.558        16.972       19.853  
    coh772:k=57.2773,b=0      1.4162        2.8323       2.8323       2.8323        4.2485        4.2485         8.497        11.329        12.745        15.578        16.994       21.151  

tb_pol_w: risky + safe investment choices (first stage choice, choose within risky vs safe)
                            z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                            __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    coh1:k=-20,b=0                 0             0             0            0            0             0             0             0             0             0             0             0 
    coh2:k=-19.8996,b=0            0             0             0            0            0             0             0             0             0             0             0             0 
    coh3:k=-19.7993,b=0            0             0             0            0            0             0             0             0             0             0             0             0 
    coh4:k=-19.6989,b=0            0             0             0            0            0             0             0             0             0             0             0             0 
    coh5:k=-19.5986,b=0            0             0             0            0            0             0             0             0             0             0             0             0 
    coh6:k=-19.4982,b=0          -20           -20           -20          -20            0             0             0             0             0             0             0             0 
    coh7:k=-19.3978,b=0          -20           -20           -20          -20          -20           -20             0             0             0             0             0             0 
    coh8:k=-19.2975,b=0          -20           -20           -20          -20          -20           -20             0             0             0             0             0             0 
    coh9:k=-19.1971,b=0          -20           -20           -20          -20          -20           -20             0             0             0             0             0             0 
    coh10:k=-19.0968,b=0         -20           -20           -20          -20          -20           -20           -20             0             0             0             0             0 
    coh11:k=-18.9964,b=0         -20           -20           -20          -20          -20           -20           -20           -20             0             0             0             0 
    coh12:k=-18.896,b=0          -20           -20           -20          -20          -20           -20           -20           -20           -20             0             0             0 
    coh13:k=-18.7957,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20             0             0             0 
    coh14:k=-18.6953,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20             0             0 
    coh15:k=-18.595,b=0          -20           -20           -20          -20          -20           -20           -20           -20           -20           -20             0             0 
    coh16:k=-18.4946,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20             0 
    coh17:k=-18.3942,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20             0 
    coh18:k=-18.2939,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20             0 
    coh19:k=-18.1935,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh20:k=-18.0932,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh21:k=-17.9928,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh22:k=-17.8924,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh23:k=-17.7921,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh24:k=-17.6917,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh25:k=-17.5914,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh26:k=-17.491,b=0          -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh27:k=-17.3906,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh28:k=-17.2903,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh29:k=-17.1899,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh30:k=-17.0896,b=0         -20           -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20 
    coh31:k=-16.9892,b=0     -17.972       -17.972       -18.034      -18.095      -18.095       -18.157       -18.341       -18.402           -20           -20           -20           -20 
    coh32:k=-16.8888,b=0     -17.905       -17.968       -17.968      -18.032      -18.032       -18.095       -18.286       -18.349       -18.413           -20           -20           -20 
    coh33:k=-16.7885,b=0     -17.903       -17.903       -17.903      -17.968      -17.968       -18.034        -18.23       -18.296       -18.361       -18.427       -18.493           -20 
    coh34:k=-16.6881,b=0     -17.837       -17.837       -17.905      -17.905      -17.972       -17.972       -18.175       -18.243        -18.31       -18.378       -18.445       -18.513 
    coh35:k=-16.5878,b=0     -17.772       -17.772       -17.841      -17.841      -17.911       -17.981        -18.12       -18.189       -18.259       -18.329       -18.398       -18.468 
    coh36:k=-16.4874,b=0     -17.706       -17.778       -17.778      -17.849      -17.849       -17.921       -18.136       -18.136       -18.208        -18.28       -18.351       -18.423 
    coh37:k=-16.387,b=0      -17.714       -17.714       -17.714      -17.788      -17.788       -17.862       -18.083       -18.083       -18.157        -18.23       -18.304       -18.378 
    coh38:k=-16.2867,b=0     -17.651       -17.651       -17.727      -17.727      -17.802       -17.802        -18.03       -18.105       -18.105       -18.181       -18.257       -18.333 
    coh39:k=-16.1863,b=0     -17.587       -17.587       -17.665      -17.665      -17.743       -17.743       -17.976       -18.054       -18.054       -18.132       -18.132       -17.665 
    coh40:k=-16.086,b=0      -17.524       -17.604       -17.604      -17.604      -17.684       -17.684       -17.923       -18.003       -18.003       -18.083       -18.083       -17.444 
    coh41:k=-15.9856,b=0      -17.46       -17.542       -17.542      -17.542      -17.624       -17.706        -17.87       -17.952       -17.952       -18.034       -17.542       -17.296 
    coh42:k=-15.8852,b=0     -17.481       -17.481       -17.481      -17.565      -17.565       -17.649       -17.817       -17.901       -17.901       -17.901       -17.313       -17.229 
    coh43:k=-15.7849,b=0     -17.419       -17.419       -17.419      -17.505      -17.505       -17.591       -17.763       -17.849       -17.849       -17.333       -17.247       -17.161 
    coh44:k=-15.6845,b=0     -17.358       -17.358       -17.358      -17.446      -17.446       -17.534        -17.71       -17.798        -17.71       -17.182       -17.182       -17.006 
    coh45:k=-15.5842,b=0     -17.296       -17.296       -17.387      -17.387      -17.387       -17.477       -17.657       -17.657       -17.206       -17.116       -17.026       -16.936 
    coh46:k=-15.4838,b=0     -17.235       -17.235       -17.327      -17.327      -17.419       -17.419       -17.604       -17.511       -17.051       -16.958       -16.866       -16.774 
    coh47:k=-15.3834,b=0     -17.174       -17.268       -17.268      -17.268      -17.362       -17.362        -17.55       -16.891       -16.891       -16.891       -16.797       -16.702 
    coh48:k=-15.2831,b=0     -17.112       -17.208       -17.208      -17.208      -17.305       -17.305        -16.92       -16.823       -16.823       -16.823       -16.727       -16.631 
    coh49:k=-15.1827,b=0     -17.149       -17.149       -17.149      -17.149      -17.247       -17.247       -16.756       -16.756       -16.756       -16.756       -16.657       -16.461 
    coh50:k=-15.0824,b=0      -17.09        -17.09        -17.09       -17.19       -17.19        -17.19       -16.588       -16.688       -16.688       -16.588       -16.487       -16.387 
    coh723:k=52.3596,b=0      47.929        47.929        47.929       47.929       47.929        47.929        46.453        46.453        46.453        46.453        46.453        46.453 
    coh724:k=52.46,b=0        48.024        48.024        48.024       48.024       48.024        48.024        46.545        46.545        46.545        46.545        46.545        46.545 
    coh725:k=52.5603,b=0      48.118        48.118        48.118       48.118       48.118        48.118        46.637        46.637        46.637        46.637        46.637        46.637 
    coh726:k=52.6607,b=0      48.212        48.212        48.212       48.212       48.212        48.212        46.729        46.729        46.729        46.729        46.729        46.729 
    coh727:k=52.7611,b=0      48.306        48.306        48.306       48.306       48.306        48.306        46.821        46.821        46.821        46.821        46.821        46.821 
    coh728:k=52.8614,b=0      48.401        48.401        48.401       48.401       48.401        48.401        46.914        46.914        46.914        46.914        46.914        46.914 
    coh729:k=52.9618,b=0      48.495        48.495        48.495       48.495       48.495        48.495        47.006        47.006        47.006        47.006        47.006        47.006 
    coh730:k=53.0621,b=0      48.589        48.589        48.589       48.589       48.589        48.589        47.098        47.098        47.098        47.098        47.098        47.098 
    coh731:k=53.1625,b=0      48.683        48.683        48.683       48.683       48.683        48.683         47.19         47.19         47.19         47.19         47.19         47.19 
    coh732:k=53.2629,b=0      48.777        48.777        48.777       48.777       48.777        48.777        47.282        47.282        47.282        47.282        47.282        47.282 
    coh733:k=53.3632,b=0      48.872        48.872        48.872       48.872       48.872        48.872        47.374        47.374        47.374        47.374        47.374        47.374 
    coh734:k=53.4636,b=0      48.966        48.966        48.966       48.966       48.966        48.966        47.467        47.467        47.467        47.467        47.467        47.467 
    coh735:k=53.5639,b=0       49.06         49.06         49.06        49.06        49.06         49.06        47.559        47.559        47.559        47.559        47.559        47.559 
    coh736:k=53.6643,b=0      49.154        49.154        49.154       49.154       49.154        49.154        47.651        47.651        47.651        47.651        47.651        47.651 
    coh737:k=53.7647,b=0      49.248        49.248        49.248       49.248       49.248        49.248        47.743        47.743        47.743        47.743        47.743        47.743 
    coh738:k=53.865,b=0       49.343        49.343        49.343       49.343       49.343        49.343        47.835        47.835        47.835        47.835        47.835        47.835 
    coh739:k=53.9654,b=0      49.437        49.437        49.437       49.437       49.437        49.437        47.927        47.927        47.927        47.927        47.927        47.927 
    coh740:k=54.0657,b=0      49.531        49.531        49.531       49.531       49.531        49.531         48.02         48.02         48.02         48.02         48.02         48.02 
    coh741:k=54.1661,b=0      49.625        49.625        49.625       49.625       49.625        49.625        48.112        48.112        48.112        48.112        48.112        48.112 
    coh742:k=54.2665,b=0       49.72         49.72         49.72        49.72        49.72         49.72        48.204        48.204        48.204        48.204        48.204        48.204 
    coh743:k=54.3668,b=0      49.814        49.814        49.814       49.814       49.814        49.814        48.296        48.296        48.296        48.296        48.296        48.296 
    coh744:k=54.4672,b=0      49.908        49.908        49.908       49.908       49.908        49.908        48.388        48.388        48.388        48.388        48.388        48.388 
    coh745:k=54.5675,b=0      50.002        50.002        50.002       50.002       50.002        50.002         48.48         48.48         48.48         48.48         48.48         48.48 
    coh746:k=54.6679,b=0      50.096        50.096        50.096       50.096       48.573        48.573        48.573        48.573        48.573        48.573        48.573        48.573 
    coh747:k=54.7683,b=0      48.665        48.665        48.665       48.665       48.665        48.665        48.665        48.665        48.665        48.665        48.665        48.665 
    coh748:k=54.8686,b=0      48.757        48.757        48.757       48.757       48.757        48.757        48.757        48.757        48.757        48.757        48.757        48.757 
    coh749:k=54.969,b=0       48.849        48.849        48.849       48.849       48.849        48.849        48.849        48.849        48.849        48.849        48.849        48.849 
    coh750:k=55.0693,b=0      48.941        48.941        48.941       48.941       48.941        48.941        48.941        48.941        48.941        48.941        48.941        48.941 
    coh751:k=55.1697,b=0      49.033        49.033        49.033       49.033       49.033        49.033        49.033        49.033        49.033        49.033        49.033        49.033 
    coh752:k=55.2701,b=0      49.126        49.126        49.126       49.126       49.126        49.126        49.126        49.126        49.126        49.126        49.126        49.126 
    coh753:k=55.3704,b=0      49.218        49.218        49.218       49.218       49.218        49.218        49.218        49.218        49.218        49.218        49.218        49.218 
    coh754:k=55.4708,b=0       49.31         49.31         49.31        49.31        49.31         49.31         49.31         49.31         49.31         49.31         49.31         49.31 
    coh755:k=55.5711,b=0      49.402        49.402        49.402       49.402       49.402        49.402        49.402        49.402        49.402        49.402        49.402        49.402 
    coh756:k=55.6715,b=0      49.494        49.494        49.494       49.494       49.494        49.494        49.494        49.494        49.494        49.494        49.494        49.494 
    coh757:k=55.7719,b=0      49.586        49.586        49.586       49.586       49.586        49.586        49.586        49.586        49.586        49.586        49.586        49.586 
    coh758:k=55.8722,b=0      49.679        49.679        49.679       49.679       49.679        49.679        49.679        49.679        49.679        49.679        49.679        49.679 
    coh759:k=55.9726,b=0      49.771        49.771        49.771       49.771       49.771        49.771        49.771        49.771        49.771        49.771        49.771        49.771 
    coh760:k=56.0729,b=0      49.863        49.863        49.863       49.863       49.863        49.863        49.863        49.863        49.863        49.863        49.863        49.863 
    coh761:k=56.1733,b=0      49.955        49.955        49.955       49.955       49.955        49.955        49.955        49.955        49.955        49.955        49.955        49.955 
    coh762:k=56.2737,b=0      50.047        50.047        50.047       50.047       50.047        50.047        50.047        50.047        50.047        50.047        50.047        50.047 
    coh763:k=56.374,b=0       50.139        50.139        50.139       50.139       50.139        50.139        50.139        50.139        50.139        50.139        50.139        50.139 
    coh764:k=56.4744,b=0      50.232        50.232        50.232       50.232       50.232        50.232        50.232        50.232        50.232        50.232        50.232        50.232 
    coh765:k=56.5747,b=0      50.324        50.324        50.324       50.324       50.324        50.324        50.324        50.324        50.324        50.324        50.324        48.761 
    coh766:k=56.6751,b=0      50.416        50.416        50.416       50.416       50.416        50.416        50.416        50.416        50.416        48.851        48.851        48.851 
    coh767:k=56.7755,b=0      50.508        50.508        50.508       50.508       50.508        50.508        48.941        48.941        48.941        48.941        48.941        48.941 
    coh768:k=56.8758,b=0        50.6          50.6          50.6         50.6       49.031        49.031        49.031        49.031        49.031        49.031        49.031        49.031 
    coh769:k=56.9762,b=0      49.121        49.121        49.121       49.121       49.121        49.121        49.121        49.121        49.121        49.121        49.121        49.121 
    coh770:k=57.0765,b=0      49.212        49.212        49.212       49.212       49.212        49.212        49.212        49.212        49.212        49.212        49.212        49.212 
    coh771:k=57.1769,b=0      49.302        49.302        49.302       49.302       49.302        49.302        49.302        49.302        49.302        49.302        49.302        49.302 
    coh772:k=57.2773,b=0      49.392        49.392        49.392       49.392       49.392        49.392        49.392        49.392        49.392        49.392        49.392        49.392 

Display Various Containers

if (bl_display_defparam)

Display 1 support_map

    fft_container_map_display(support_map, it_display_summmat_rowmax, it_display_summmat_colmax);
----------------------------------------
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Begin: Show all key and value pairs from container
CONTAINER NAME: SUPPORT_MAP
----------------------------------------
  Map with properties:

        Count: 43
      KeyType: char
    ValueType: any

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pos = 1 ; key = bl_display ; val = false
pos = 2 ; key = bl_display_defparam ; val = true
pos = 3 ; key = bl_display_dist ; val = false
pos = 4 ; key = bl_display_evf ; val = false
pos = 5 ; key = bl_display_final ; val = true
pos = 6 ; key = bl_display_final_dist ; val = false
pos = 7 ; key = bl_display_final_dist_detail ; val = false
pos = 8 ; key = bl_display_funcgrids ; val = false
pos = 9 ; key = bl_graph ; val = true
pos = 10 ; key = bl_graph_coh_t_coh ; val = true
pos = 11 ; key = bl_graph_evf ; val = false
pos = 12 ; key = bl_graph_funcgrids ; val = false
pos = 13 ; key = bl_graph_funcgrids_detail ; val = false
pos = 14 ; key = bl_graph_onebyones ; val = true
pos = 15 ; key = bl_graph_pol_lvl ; val = true
pos = 16 ; key = bl_graph_pol_pct ; val = true
pos = 17 ; key = bl_graph_val ; val = true
pos = 18 ; key = bl_img_save ; val = false
pos = 19 ; key = bl_mat ; val = false
pos = 20 ; key = bl_post ; val = true
pos = 21 ; key = bl_profile ; val = false
pos = 22 ; key = bl_profile_dist ; val = false
pos = 23 ; key = bl_time ; val = false
pos = 24 ; key = it_display_every ; val = 5
pos = 25 ; key = it_display_final_colmax ; val = 12
pos = 26 ; key = it_display_final_rowmax ; val = 100
pos = 27 ; key = it_display_summmat_colmax ; val = 7
pos = 28 ; key = it_display_summmat_rowmax ; val = 7
pos = 29 ; key = st_img_name_main ; val = ff_ipwkbz_vf_vecsv_default
pos = 30 ; key = st_img_path ; val = C:/Users/fan/CodeDynaAsset//m_ipwkbzr//solve/img/
pos = 31 ; key = st_img_prefix ; val = 
pos = 32 ; key = st_img_suffix ; val = _p4.png
pos = 33 ; key = st_mat_name_main ; val = ff_ipwkbz_vf_vecsv_default
pos = 34 ; key = st_mat_path ; val = C:/Users/fan/CodeDynaAsset//m_ipwkbzr//solve/mat/
pos = 35 ; key = st_mat_prefix ; val = 
pos = 36 ; key = st_mat_suffix ; val = _p4
pos = 37 ; key = st_mat_test_path ; val = C:/Users/fan/CodeDynaAsset//m_ipwkbzr//test/ff_ipwkbz_ds_vecsv/mat/
pos = 38 ; key = st_matimg_path_root ; val = C:/Users/fan/CodeDynaAsset//m_ipwkbzr/
pos = 39 ; key = st_profile_name_main ; val = ff_ipwkbz_vf_vecsv_default
pos = 40 ; key = st_profile_path ; val = C:/Users/fan/CodeDynaAsset//m_ipwkbzr//solve/profile/
pos = 41 ; key = st_profile_prefix ; val = 
pos = 42 ; key = st_profile_suffix ; val = _p4
pos = 43 ; key = st_title_prefix ; val = 
----------------------------------------
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Scalars in Container and Sizes and Basic Statistics
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                                    i     idx    value
                                    __    ___    _____

    bl_display                       1     1        0 
    bl_display_defparam              2     2        1 
    bl_display_dist                  3     3        0 
    bl_display_evf                   4     4        0 
    bl_display_final                 5     5        1 
    bl_display_final_dist            6     6        0 
    bl_display_final_dist_detail     7     7        0 
    bl_display_funcgrids             8     8        0 
    bl_graph                         9     9        1 
    bl_graph_coh_t_coh              10    10        1 
    bl_graph_evf                    11    11        0 
    bl_graph_funcgrids              12    12        0 
    bl_graph_funcgrids_detail       13    13        0 
    bl_graph_onebyones              14    14        1 
    bl_graph_pol_lvl                15    15        1 
    bl_graph_pol_pct                16    16        1 
    bl_graph_val                    17    17        1 
    bl_img_save                     18    18        0 
    bl_mat                          19    19        0 
    bl_post                         20    20        1 
    bl_profile                      21    21        0 
    bl_profile_dist                 22    22        0 
    bl_time                         23    23        0 
    it_display_every                24    24        5 
    it_display_final_colmax         25    25       12 
    it_display_final_rowmax         26    26      100 
    it_display_summmat_colmax       27    27        7 
    it_display_summmat_rowmax       28    28        7 

----------------------------------------
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Strings in Container and Sizes and Basic Statistics
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                            i     idx
                            __    ___

    st_img_name_main         1    29 
    st_img_path              2    30 
    st_img_prefix            3    31 
    st_img_suffix            4    32 
    st_mat_name_main         5    33 
    st_mat_path              6    34 
    st_mat_prefix            7    35 
    st_mat_suffix            8    36 
    st_mat_test_path         9    37 
    st_matimg_path_root     10    38 
    st_profile_name_main    11    39 
    st_profile_path         12    40 
    st_profile_prefix       13    41 
    st_profile_suffix       14    42 
    st_title_prefix         15    43 

Display 2 armt_map

    fft_container_map_display(armt_map, it_display_summmat_rowmax, it_display_summmat_colmax);
----------------------------------------
----------------------------------------
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Begin: Show all key and value pairs from container
CONTAINER NAME: ARMT_MAP
----------------------------------------
  Map with properties:

        Count: 21
      KeyType: char
    ValueType: any

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----------------------------------------
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pos = 1 ; key = ar_a_meshk ;rown= 772 ,coln= 1
ar_a_meshk :mu= 18.6145 ,sd= 22.347 ,min= -20 ,max= 57.2773
                   zi_1_c1
                   _______

    zi_1_R1            -20
    zi_2_R2          -19.9
    zi_3_R3        -19.799
    zi_386_r386     18.538
    zi_770_r770     57.077
    zi_771_r771     57.177
    zi_772_r772     57.277

pos = 2 ; key = ar_a_meshk_ori ;rown= 35000 ,coln= 1
ar_a_meshk_ori :mu= -2.5107 ,sd= 15.6183 ,min= -20 ,max= 50
                       zi_1_c1
                       _______

    zi_1_R1                -20
    zi_2_R2                -20
    zi_3_R3                -20
    zi_17500_r17500        -20
    zi_34998_r34998    -17.143
    zi_34999_r34999    -18.571
    zi_35000_r35000        -20

pos = 3 ; key = ar_ak_perc ;rown= 1 ,coln= 50
ar_ak_perc :mu= 0.5 ,sd= 0.2975 ,min= 0 ,max= 1
               zi_1_C1    zi_2_C2     zi_3_C3     zi_25_c25    zi_48_c48    zi_49_c49    zi_50_c50
               _______    ________    ________    _________    _________    _________    _________

    zi_1_r1       0       0.020408    0.040816     0.4898       0.95918      0.97959         1    

pos = 4 ; key = ar_interp_c_grid ;rown= 1 ,coln= 772572
ar_interp_c_grid :mu= 38.6486 ,sd= 22.3023 ,min= 0.02 ,max= 77.2773
               zi_1_C1    zi_2_C2    zi_3_C3    zi_386286_c386286    zi_772570_c772570    zi_772571_c772571    zi_772572_c772572
               _______    _______    _______    _________________    _________________    _________________    _________________

    zi_1_r1     0.02      0.0201     0.0202          38.649               77.277               77.277               77.277      

pos = 5 ; key = ar_interp_coh_grid ;rown= 1 ,coln= 772
ar_interp_coh_grid :mu= 18.6145 ,sd= 22.347 ,min= -20 ,max= 57.2773
               zi_1_C1    zi_2_C2    zi_3_C3    zi_386_c386    zi_770_c770    zi_771_c771    zi_772_c772
               _______    _______    _______    ___________    ___________    ___________    ___________

    zi_1_r1      -20       -19.9     -19.799      18.538         57.077         57.177         57.277   

pos = 6 ; key = ar_k_mesha ;rown= 772 ,coln= 1
ar_k_mesha :mu= 0 ,sd= 0 ,min= 0 ,max= 0
                   zi_1_c1
                   _______

    zi_1_R1           0   
    zi_2_R2           0   
    zi_3_R3           0   
    zi_386_r386       0   
    zi_770_r770       0   
    zi_771_r771       0   
    zi_772_r772       0   

pos = 7 ; key = ar_k_mesha_ori ;rown= 35000 ,coln= 1
ar_k_mesha_ori :mu= 17.4893 ,sd= 15.6183 ,min= 0 ,max= 70
                       zi_1_c1
                       _______

    zi_1_R1                 0 
    zi_2_R2                 0 
    zi_3_R3                 0 
    zi_17500_r17500      34.9 
    zi_34998_r34998    67.143 
    zi_34999_r34999    68.571 
    zi_35000_r35000        70 

pos = 8 ; key = ar_stationary ;rown= 1 ,coln= 15
ar_stationary :mu= 0.066667 ,sd= 0.060897 ,min= 0.0027089 ,max= 0.16757
                zi_1_C1      zi_2_C2     zi_3_C3     zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
               _________    _________    ________    _______    _________    _________    _________

    zi_1_r1    0.0027089    0.0069499    0.018507    0.16757    0.018507     0.0069499    0.0027089

pos = 9 ; key = ar_w_level ;rown= 1 ,coln= 700
ar_w_level :mu= 14.9786 ,sd= 20.2441 ,min= -20 ,max= 50
               zi_1_C1    zi_2_C2    zi_3_C3    zi_350_c350    zi_698_c698    zi_699_c699    zi_700_c700
               _______    _______    _______    ___________    ___________    ___________    ___________

    zi_1_r1      -20       -19.9     -19.799       14.9          49.799          49.9            50     

pos = 10 ; key = ar_w_perc ;rown= 1 ,coln= 50
ar_w_perc :mu= 0.5 ,sd= 0.2975 ,min= 0 ,max= 1
               zi_1_C1    zi_2_C2     zi_3_C3     zi_25_c25    zi_48_c48    zi_49_c49    zi_50_c50
               _______    ________    ________    _________    _________    _________    _________

    zi_1_r1       0       0.020408    0.040816     0.4898       0.95918      0.97959         1    

pos = 11 ; key = ar_z ;rown= 1 ,coln= 15
ar_z :mu= 1.1347 ,sd= 0.69878 ,min= 0.34741 ,max= 2.567
               zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
               _______    _______    _______    _______    _________    _________    _________

    zi_1_r1    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  

pos = 12 ; key = it_ameshk_n ; val = 772
pos = 13 ; key = mt_coh_wkb ;rown= 772 ,coln= 15
mt_coh_wkb :mu= 18.6145 ,sd= 22.3335 ,min= -20 ,max= 57.2773
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1            -20        -20        -20        -20         -20          -20          -20 
    zi_2_R2          -19.9      -19.9      -19.9      -19.9       -19.9        -19.9        -19.9 
    zi_3_R3        -19.799    -19.799    -19.799    -19.799     -19.799      -19.799      -19.799 
    zi_386_r386     18.538     18.538     18.538     18.538      18.538       18.538       18.538 
    zi_770_r770     57.077     57.077     57.077     57.077      57.077       57.077       57.077 
    zi_771_r771     57.177     57.177     57.177     57.177      57.177       57.177       57.177 
    zi_772_r772     57.277     57.277     57.277     57.277      57.277       57.277       57.277 

pos = 14 ; key = mt_coh_wkb_ori ;rown= 35000 ,coln= 15
mt_coh_wkb_ori :mu= 16.2108 ,sd= 20.8413 ,min= -21.4564 ,max= 57.2773
                       zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                       _______    _______    _______    _______    _________    _________    _________

    zi_1_R1            -21.456    -21.456    -21.456    -21.456     -21.456      -21.456      -21.456 
    zi_2_R2            -21.456    -21.456    -21.456    -21.456     -21.456      -21.456      -21.456 
    zi_3_R3            -21.456    -21.456    -21.456    -21.456     -21.456      -21.456      -21.456 
    zi_17500_r17500       11.9     12.091     12.312     14.044      17.582       18.646       19.874 
    zi_34998_r34998     45.023     45.266     45.546     47.738      52.215       53.562       55.116 
    zi_34999_r34999     44.785      45.03     45.312      47.52      52.032       53.389       54.955 
    zi_35000_r35000     44.547     44.793     45.077     47.302      51.848       53.215       54.792 

pos = 15 ; key = mt_interp_coh_grid_mesh_w_perc ;rown= 50 ,coln= 772
mt_interp_coh_grid_mesh_w_perc :mu= 18.6145 ,sd= 22.3329 ,min= -20 ,max= 57.2773
                 zi_1_C1    zi_2_C2    zi_3_C3    zi_386_c386    zi_770_c770    zi_771_c771    zi_772_c772
                 _______    _______    _______    ___________    ___________    ___________    ___________

    zi_1_R1        -20       -19.9     -19.799      18.538         57.077         57.177         57.277   
    zi_2_R2        -20       -19.9     -19.799      18.538         57.077         57.177         57.277   
    zi_3_R3        -20       -19.9     -19.799      18.538         57.077         57.177         57.277   
    zi_25_r25      -20       -19.9     -19.799      18.538         57.077         57.177         57.277   
    zi_48_r48      -20       -19.9     -19.799      18.538         57.077         57.177         57.277   
    zi_49_r49      -20       -19.9     -19.799      18.538         57.077         57.177         57.277   
    zi_50_r50      -20       -19.9     -19.799      18.538         57.077         57.177         57.277   

pos = 16 ; key = mt_interp_coh_grid_mesh_z ;rown= 772 ,coln= 15
mt_interp_coh_grid_mesh_z :mu= 18.6145 ,sd= 22.3335 ,min= -20 ,max= 57.2773
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1            -20        -20        -20        -20         -20          -20          -20 
    zi_2_R2          -19.9      -19.9      -19.9      -19.9       -19.9        -19.9        -19.9 
    zi_3_R3        -19.799    -19.799    -19.799    -19.799     -19.799      -19.799      -19.799 
    zi_386_r386     18.538     18.538     18.538     18.538      18.538       18.538       18.538 
    zi_770_r770     57.077     57.077     57.077     57.077      57.077       57.077       57.077 
    zi_771_r771     57.177     57.177     57.177     57.177      57.177       57.177       57.177 
    zi_772_r772     57.277     57.277     57.277     57.277      57.277       57.277       57.277 

pos = 17 ; key = mt_k ;rown= 50 ,coln= 700
mt_k :mu= 17.4893 ,sd= 15.6183 ,min= 0 ,max= 70
                 zi_1_C1     zi_2_C2      zi_3_C3     zi_350_c350    zi_698_c698    zi_699_c699    zi_700_c700
                 _______    _________    _________    ___________    ___________    ___________    ___________

    zi_1_R1         0               0            0            0             0              0              0   
    zi_2_R2         0       0.0020467    0.0040933      0.71224        1.4245         1.4265         1.4286   
    zi_3_R3         0       0.0040933    0.0081867       1.4245         2.849          2.853         2.8571   
    zi_25_r25       0         0.04912      0.09824       17.094        34.187         34.237         34.286   
    zi_48_r48       0        0.096193      0.19239       33.475         66.95         67.047         67.143   
    zi_49_r49       0         0.09824      0.19648       34.187        68.375         68.473         68.571   
    zi_50_r50       0         0.10029      0.20057         34.9        69.799           69.9             70   

pos = 18 ; key = mt_w_by_interp_coh_interp_grid ;rown= 50 ,coln= 772
mt_w_by_interp_coh_interp_grid :mu= -0.69276 ,sd= 17.2418 ,min= -20 ,max= 57.2773
                 zi_1_C1    zi_2_C2    zi_3_C3    zi_386_c386    zi_770_c770    zi_771_c771    zi_772_c772
                 _______    _______    _______    ___________    ___________    ___________    ___________

    zi_1_R1        -20          -20        -20          -20            -20            -20            -20  
    zi_2_R2        -20      -19.998    -19.996      -19.214        -18.427        -18.425        -18.423  
    zi_3_R3        -20      -19.996    -19.992      -18.427        -16.854         -16.85        -16.846  
    zi_25_r25      -20      -19.951    -19.902      -1.1241         17.752         17.801          17.85  
    zi_48_r48      -20      -19.904    -19.807       16.965         53.931         54.027         54.123  
    zi_49_r49      -20      -19.902    -19.803       17.752         55.504         55.602           55.7  
    zi_50_r50      -20        -19.9    -19.799       18.538         57.077         57.177         57.277  

pos = 19 ; key = mt_z_mesh_coh_interp_grid ;rown= 772 ,coln= 15
mt_z_mesh_coh_interp_grid :mu= 1.1347 ,sd= 0.67511 ,min= 0.34741 ,max= 2.567
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1        0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_2_R2        0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_3_R3        0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_386_r386    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_770_r770    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_771_r771    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_772_r772    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  

pos = 20 ; key = mt_z_mesh_coh_wkb ;rown= 35000 ,coln= 15
mt_z_mesh_coh_wkb :mu= 1.1347 ,sd= 0.67508 ,min= 0.34741 ,max= 2.567
                       zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                       _______    _______    _______    _______    _________    _________    _________

    zi_1_R1            0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_2_R2            0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_3_R3            0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_17500_r17500    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_34998_r34998    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_34999_r34999    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  
    zi_35000_r35000    0.34741    0.40076    0.4623     0.94436     1.9291       2.2253        2.567  

pos = 21 ; key = mt_z_trans ;rown= 15 ,coln= 15
mt_z_trans :mu= 0.066667 ,sd= 0.095337 ,min= 0 ,max= 0.27902
                  zi_1_C1       zi_2_C2       zi_3_C3       zi_8_C8      zi_13_c13     zi_14_c14     zi_15_c15 
                 __________    __________    __________    __________    __________    __________    __________

    zi_1_R1         0.26016       0.26831       0.25551    0.00012823    2.7001e-13    1.1102e-15             0
    zi_2_R2         0.11232       0.19622        0.2763    0.00098855    1.5289e-11    9.3592e-14    3.3307e-16
    zi_3_R3        0.037073       0.10492        0.2185     0.0055558    6.2811e-10    5.7438e-12    3.1863e-14
    zi_8_R8      1.7181e-06    4.1008e-05    0.00061112       0.27902    0.00061112    4.1008e-05    1.7181e-06
    zi_13_r13    3.1909e-14    5.7438e-12    6.2811e-10     0.0055558        0.2185       0.10492      0.037073
    zi_14_r14     3.474e-16    9.3597e-14    1.5289e-11    0.00098855        0.2763       0.19622       0.11232
    zi_15_r15    2.7412e-18    1.1057e-15    2.6998e-13    0.00012823       0.25551       0.26831       0.26016

----------------------------------------
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Matrix in Container and Sizes and Basic Statistics
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                                      i     idx    rowN        colN         mean        std          min         max  
                                      __    ___    _____    __________    ________    ________    _________    _______

    ar_a_meshk                         1     1       772             1      18.614      22.347          -20     57.277
    ar_a_meshk_ori                     2     2     35000             1     -2.5107      15.618          -20         50
    ar_ak_perc                         3     3         1            50         0.5      0.2975            0          1
    ar_interp_c_grid                   4     4         1    7.7257e+05      38.649      22.302         0.02     77.277
    ar_interp_coh_grid                 5     5         1           772      18.614      22.347          -20     57.277
    ar_k_mesha                         6     6       772             1           0           0            0          0
    ar_k_mesha_ori                     7     7     35000             1      17.489      15.618            0         70
    ar_stationary                      8     8         1            15    0.066667    0.060897    0.0027089    0.16757
    ar_w_level                         9     9         1           700      14.979      20.244          -20         50
    ar_w_perc                         10    10         1            50         0.5      0.2975            0          1
    ar_z                              11    11         1            15      1.1347     0.69878      0.34741      2.567
    mt_coh_wkb                        12    13       772            15      18.614      22.334          -20     57.277
    mt_coh_wkb_ori                    13    14     35000            15      16.211      20.841      -21.456     57.277
    mt_interp_coh_grid_mesh_w_perc    14    15        50           772      18.614      22.333          -20     57.277
    mt_interp_coh_grid_mesh_z         15    16       772            15      18.614      22.334          -20     57.277
    mt_k                              16    17        50           700      17.489      15.618            0         70
    mt_w_by_interp_coh_interp_grid    17    18        50           772    -0.69276      17.242          -20     57.277
    mt_z_mesh_coh_interp_grid         18    19       772            15      1.1347     0.67511      0.34741      2.567
    mt_z_mesh_coh_wkb                 19    20     35000            15      1.1347     0.67508      0.34741      2.567
    mt_z_trans                        20    21        15            15    0.066667    0.095337            0    0.27902

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Scalars in Container and Sizes and Basic Statistics
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                   i    idx    value
                   _    ___    _____

    it_ameshk_n    1    12      772 

Display 3 param_map

    fft_container_map_display(param_map, it_display_summmat_rowmax, it_display_summmat_colmax);
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Begin: Show all key and value pairs from container
CONTAINER NAME: PARAM_MAP
----------------------------------------
  Map with properties:

        Count: 35
      KeyType: char
    ValueType: any

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pos = 1 ; key = bl_default ; val = true
pos = 2 ; key = fl_Amean ; val = 1
pos = 3 ; key = fl_alpha ; val = 0.36
pos = 4 ; key = fl_b_bd ; val = -20
pos = 5 ; key = fl_beta ; val = 0.94
pos = 6 ; key = fl_c_min ; val = 0.02
pos = 7 ; key = fl_coh_interp_grid_gap ; val = 0.1
pos = 8 ; key = fl_crra ; val = 1.5
pos = 9 ; key = fl_default_wprime ; val = 0
pos = 10 ; key = fl_delta ; val = 0.08
pos = 11 ; key = fl_k_max ; val = 70
pos = 12 ; key = fl_k_min ; val = 0
pos = 13 ; key = fl_nan_replace ; val = -9999
pos = 14 ; key = fl_r_borr ; val = 0.095
pos = 15 ; key = fl_r_save ; val = 0.025
pos = 16 ; key = fl_tol_dist ; val = 1e-05
pos = 17 ; key = fl_tol_pol ; val = 1e-05
pos = 18 ; key = fl_tol_val ; val = 1e-05
pos = 19 ; key = fl_w ; val = 0.44365
pos = 20 ; key = fl_w_interp_grid_gap ; val = 0.1
pos = 21 ; key = fl_w_max ; val = 50
pos = 22 ; key = fl_w_min ; val = -20
pos = 23 ; key = fl_z_mu ; val = 0
pos = 24 ; key = fl_z_rho ; val = 0.8
pos = 25 ; key = fl_z_sig ; val = 0.2
pos = 26 ; key = it_ak_perc_n ; val = 50
pos = 27 ; key = it_c_interp_grid_gap ; val = 0.0001
pos = 28 ; key = it_maxiter_dist ; val = 1000
pos = 29 ; key = it_maxiter_val ; val = 250
pos = 30 ; key = it_tol_pol_nochange ; val = 25
pos = 31 ; key = it_w_perc_n ; val = 50
pos = 32 ; key = it_z_n ; val = 15
pos = 33 ; key = st_analytical_stationary_type ; val = eigenvector
pos = 34 ; key = st_model ; val = ipwkbz
pos = 35 ; key = st_v_coh_z_interp_method ; val = method_cell
----------------------------------------
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Scalars in Container and Sizes and Basic Statistics
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                              i     idx     value 
                              __    ___    _______

    bl_default                 1     1           1
    fl_Amean                   2     2           1
    fl_alpha                   3     3        0.36
    fl_b_bd                    4     4         -20
    fl_beta                    5     5        0.94
    fl_c_min                   6     6        0.02
    fl_coh_interp_grid_gap     7     7         0.1
    fl_crra                    8     8         1.5
    fl_default_wprime          9     9           0
    fl_delta                  10    10        0.08
    fl_k_max                  11    11          70
    fl_k_min                  12    12           0
    fl_nan_replace            13    13       -9999
    fl_r_borr                 14    14       0.095
    fl_r_save                 15    15       0.025
    fl_tol_dist               16    16       1e-05
    fl_tol_pol                17    17       1e-05
    fl_tol_val                18    18       1e-05
    fl_w                      19    19     0.44365
    fl_w_interp_grid_gap      20    20         0.1
    fl_w_max                  21    21          50
    fl_w_min                  22    22         -20
    fl_z_mu                   23    23           0
    fl_z_rho                  24    24         0.8
    fl_z_sig                  25    25         0.2
    it_ak_perc_n              26    26          50
    it_c_interp_grid_gap      27    27      0.0001
    it_maxiter_dist           28    28        1000
    it_maxiter_val            29    29         250
    it_tol_pol_nochange       30    30          25
    it_w_perc_n               31    31          50
    it_z_n                    32    32          15

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Strings in Container and Sizes and Basic Statistics
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                                     i    idx
                                     _    ___

    st_analytical_stationary_type    1    33 
    st_model                         2    34 
    st_v_coh_z_interp_method         3    35 

Display 4 func_map

    fft_container_map_display(func_map, it_display_summmat_rowmax, it_display_summmat_colmax);
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Begin: Show all key and value pairs from container
CONTAINER NAME: FUNC_MAP
----------------------------------------
  Map with properties:

        Count: 7
      KeyType: char
    ValueType: any

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----------------------------------------
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pos = 1 ; key = f_coh ; val = @(z,b,k)(f_prod(z,k)+k*(1-fl_delta)+fl_w+b.*(1+fl_r_save).*(b>0)+b.*(1+fl_r_borr).*(b<=0))
pos = 2 ; key = f_cons ; val = @(coh,bprime,kprime)(coh-kprime-bprime)
pos = 3 ; key = f_inc ; val = @(z,b,k)(f_prod(z,k)-(fl_delta)*k+fl_w+b.*(fl_r_save).*(b>0)+b.*(fl_r_borr).*(b<=0))
pos = 4 ; key = f_prod ; val = @(z,k)((fl_Amean.*(z)).*(k.^(fl_alpha)))
pos = 5 ; key = f_util_crra ; val = @(c)(((c).^(1-fl_crra)-1)./(1-fl_crra))
pos = 6 ; key = f_util_log ; val = @(c)log(c)
pos = 7 ; key = f_util_standin ; val = @(z,b,k)f_util_log((f_coh(z,b,k)-fl_b_bd).*((f_coh(z,b,k)-fl_b_bd)>fl_c_min)+fl_c_min.*((f_coh(z,b,k)-fl_b_bd)<=fl_c_min))
----------------------------------------
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Scalars in Container and Sizes and Basic Statistics
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                      i    idx    xFunction
                      _    ___    _________

    f_coh             1     1         1    
    f_cons            2     2         2    
    f_inc             3     3         3    
    f_prod            4     4         4    
    f_util_crra       5     5         5    
    f_util_log        6     6         6    
    f_util_standin    7     7         7    

Display 5 result_map

    fft_container_map_display(result_map, it_display_summmat_rowmax, it_display_summmat_colmax);
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Begin: Show all key and value pairs from container
CONTAINER NAME: RESULT_MAP
----------------------------------------
  Map with properties:

        Count: 14
      KeyType: char
    ValueType: any

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pos = 1 ; key = ar_pol_diff_norm ;rown= 133 ,coln= 1
ar_pol_diff_norm :mu= 58.4991 ,sd= 291.8239 ,min= 0 ,max= 2431.9588
                   zi_1_c1
                   _______

    zi_1_R1        2150.9 
    zi_2_R2          2432 
    zi_3_R3        884.14 
    zi_67_R67      1.5197 
    zi_131_r131         0 
    zi_132_r132         0 
    zi_133_r133         0 

pos = 2 ; key = ar_st_pol_names ; val = cl_mt_coh cl_mt_pol_a cl_mt_pol_k cl_mt_pol_c
pos = 3 ; key = ar_val_diff_norm ;rown= 133 ,coln= 1
ar_val_diff_norm :mu= 10.2763 ,sd= 29.2676 ,min= 0.00091964 ,max= 179.6967
                    zi_1_c1  
                   __________

    zi_1_R1             179.7
    zi_2_R2            173.52
    zi_3_R3            133.72
    zi_67_R67        0.082403
    zi_131_r131     0.0010401
    zi_132_r132      0.000978
    zi_133_r133    0.00091964

pos = 4 ; key = cl_mt_coh ;rown= 772 ,coln= 15
cl_mt_coh :mu= 18.6145 ,sd= 22.3335 ,min= -20 ,max= 57.2773
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1            -20        -20        -20        -20         -20          -20          -20 
    zi_2_R2          -19.9      -19.9      -19.9      -19.9       -19.9        -19.9        -19.9 
    zi_3_R3        -19.799    -19.799    -19.799    -19.799     -19.799      -19.799      -19.799 
    zi_386_r386     18.538     18.538     18.538     18.538      18.538       18.538       18.538 
    zi_770_r770     57.077     57.077     57.077     57.077      57.077       57.077       57.077 
    zi_771_r771     57.177     57.177     57.177     57.177      57.177       57.177       57.177 
    zi_772_r772     57.277     57.277     57.277     57.277      57.277       57.277       57.277 

pos = 5 ; key = cl_mt_cons ;rown= 772 ,coln= 15
cl_mt_cons :mu= 2.9005 ,sd= 2.8392 ,min= -20 ,max= 7.8854
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1            -20        -20        -20        -20         -20          -20          -20 
    zi_2_R2          -19.9      -19.9      -19.9      -19.9       -19.9        -19.9        -19.9 
    zi_3_R3        -19.799    -19.799    -19.799    -19.799     -19.799      -19.799      -19.799 
    zi_386_r386     2.3595     2.3595      3.146      3.146       3.146        3.146       3.9325 
    zi_770_r770      7.865      7.865      7.865      7.865       7.865        7.865        7.865 
    zi_771_r771     7.8752     7.8752     7.8752     7.8752      7.8752       7.8752       7.8752 
    zi_772_r772     7.8854     7.8854     7.8854     7.8854      7.8854       7.8854       7.8854 

pos = 6 ; key = cl_mt_pol_a ;rown= 772 ,coln= 15
cl_mt_pol_a :mu= 9.3947 ,sd= 19.047 ,min= -20 ,max= 49.1717
                   zi_1_C1     zi_2_C2     zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   ________    ________    _______    _______    _________    _________    _________

    zi_1_R1        -0.81633    -0.81633    -1.2245    -2.8571     -6.5306      -7.7551      -9.3878 
    zi_2_R2        -0.81633    -0.81633    -1.2245    -2.8571     -6.5306      -7.7551      -9.3878 
    zi_3_R3        -0.81633    -0.81633    -1.2245    -2.8571     -6.5306      -7.7551      -9.3878 
    zi_386_r386      13.964      13.964     12.503     8.8917     0.22417      0.22417     -0.22526 
    zi_770_r770      47.799      46.387     46.387     42.149      33.674       31.045       29.437 
    zi_771_r771      47.887      46.473     46.473      42.23      33.744        32.33       29.449 
    zi_772_r772      47.976       46.56      46.56     42.311      33.814       32.398        28.24 

pos = 7 ; key = cl_mt_pol_c ;rown= 772 ,coln= 15
cl_mt_pol_c :mu= 3.1183 ,sd= 1.581 ,min= 0.02 ,max= 7.8854
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1          0.02       0.02       0.02       0.02        0.02         0.02         0.02  
    zi_2_R2          0.02       0.02       0.02       0.02        0.02         0.02         0.02  
    zi_3_R3          0.02       0.02       0.02       0.02        0.02         0.02         0.02  
    zi_386_r386    2.3595     2.3595      3.146      3.146       3.146        3.146       3.9325  
    zi_770_r770     7.865      7.865      7.865      7.865       7.865        7.865        7.865  
    zi_771_r771    7.8752     7.8752     7.8752     7.8752      7.8752       7.8752       7.8752  
    zi_772_r772    7.8854     7.8854     7.8854     7.8854      7.8854       7.8854       7.8854  

pos = 8 ; key = cl_mt_pol_k ;rown= 772 ,coln= 15
cl_mt_pol_k :mu= 6.3193 ,sd= 5.1683 ,min= 0 ,max= 22.2236
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1        0.81633    0.81633    1.2245     2.8571      6.5306       7.7551       9.3878  
    zi_2_R2        0.81633    0.81633    1.2245     2.8571      6.5306       7.7551       9.3878  
    zi_3_R3        0.81633    0.81633    1.2245     2.8571      6.5306       7.7551       9.3878  
    zi_386_r386      2.215      2.215    2.8892     6.5006      15.168       15.168       14.831  
    zi_770_r770     1.4125      2.825     2.825     7.0624      15.537       18.167       19.775  
    zi_771_r771     1.4143     2.8286    2.8286     7.0716      15.558       16.972       19.853  
    zi_772_r772     1.4162     2.8323    2.8323     7.0808      15.578       16.994       21.151  

pos = 9 ; key = mt_pol_idx ;rown= 772 ,coln= 15
mt_pol_idx :mu= 19318.9589 ,sd= 11146.9408 ,min= 1 ,max= 38595
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1             1          1          1          1           1            1            1  
    zi_2_R2            91         91         91         91          91           91           91  
    zi_3_R3           146        146        146        146         146          146          146  
    zi_386_r386     19297      19297      19296      19296       19296        19296        19295  
    zi_770_r770     38495      38495      38495      38495       38495        38495        38495  
    zi_771_r771     38545      38545      38545      38545       38545        38545        38545  
    zi_772_r772     38595      38595      38595      38595       38595        38595        38595  

pos = 10 ; key = mt_pol_perc_change ;rown= 133 ,coln= 15
mt_pol_perc_change :mu= 0.088391 ,sd= 0.23978 ,min= 0 ,max= 1
                   zi_1_C1    zi_2_C2     zi_3_C3      zi_8_C8     zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _________    _________    _________    _________    _________

    zi_1_R1              1         1             1            1           1             1           1 
    zi_2_R2              1         1             1       0.9728     0.90933       0.88601     0.86334 
    zi_3_R3        0.94948    0.9307        0.9171      0.96373     0.92617       0.90933      0.8899 
    zi_67_R67            0         0     0.0012953    0.0012953           0     0.0012953           0 
    zi_131_r131          0         0             0            0           0             0           0 
    zi_132_r132          0         0             0            0           0             0           0 
    zi_133_r133          0         0             0            0           0             0           0 

pos = 11 ; key = mt_val ;rown= 772 ,coln= 15
mt_val :mu= 8.527 ,sd= 7.1164 ,min= -9.9353 ,max= 16.5979
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_8_C8    zi_13_c13    zi_14_c14    zi_15_c15
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1        -9.9353    -9.6945    -9.4082    -7.4998     -4.9849      -4.4625      -3.9715 
    zi_2_R2        -9.9353    -9.6945    -9.4082    -7.4998     -4.9849      -4.4625      -3.9715 
    zi_3_R3        -9.9353    -9.6945    -9.4082    -7.4998     -4.9849      -4.4625      -3.9715 
    zi_386_r386     10.255     10.358      10.48     11.263      12.344       12.589       12.824 
    zi_770_r770     15.398     15.441     15.492     15.827      16.343       16.467       16.587 
    zi_771_r771     15.407      15.45       15.5     15.835       16.35       16.473       16.592 
    zi_772_r772     15.415     15.458     15.509     15.843      16.357       16.479       16.598 

pos = 12 ; key = tb_pol_a ;rown= 100 ,coln= 12
tb_pol_a :mu= 11.4475 ,sd= 29.2851 ,min= -20 ,max= 49.1717
                   zi_1_C1     zi_2_C2     zi_3_C3    zi_6_C6    zi_10_c10    zi_11_c11    zi_12_c12
                   ________    ________    _______    _______    _________    _________    _________

    zi_1_R1        -0.81633    -0.81633    -1.2245    -2.0408     -6.5306      -7.7551      -9.3878 
    zi_2_R2        -0.81633    -0.81633    -1.2245    -2.0408     -6.5306      -7.7551      -9.3878 
    zi_3_R3        -0.81633    -0.81633    -1.2245    -2.0408     -6.5306      -7.7551      -9.3878 
    zi_50_R50       -17.921     -18.098    -18.276    -19.139         -20          -20          -20 
    zi_98_R98        47.799      46.387     46.387     44.974      33.674       31.045       29.437 
    zi_99_R99        47.887      46.473     46.473     45.059      33.744        32.33       29.449 
    zi_100_r100      47.976       46.56      46.56     45.143      33.814       32.398        28.24 

pos = 13 ; key = tb_val ;rown= 100 ,coln= 12
tb_val :mu= 4.8055 ,sd= 11.0397 ,min= -9.9353 ,max= 16.5979
                   zi_1_C1    zi_2_C2    zi_3_C3    zi_6_C6    zi_10_c10    zi_11_c11    zi_12_c12
                   _______    _______    _______    _______    _________    _________    _________

    zi_1_R1        -9.9353    -9.6945    -9.4082    -8.3542     -4.9849      -4.4625      -3.9715 
    zi_2_R2        -9.9353    -9.6945    -9.4082    -8.3542     -4.9849      -4.4625      -3.9715 
    zi_3_R3        -9.9353    -9.6945    -9.4082    -8.3542     -4.9849      -4.4625      -3.9715 
    zi_50_R50      -6.9568    -6.7739     -6.565    -5.8328     -3.4912      -3.0705      -2.6316 
    zi_98_R98       15.398     15.441     15.492     15.675      16.343       16.467       16.587 
    zi_99_R99       15.407      15.45       15.5     15.683       16.35       16.473       16.592 
    zi_100_r100     15.415     15.458     15.509     15.691      16.357       16.479       16.598 

pos = 14 ; key = tb_valpol_alliter ;rown= 100 ,coln= 17
tb_valpol_alliter :mu= 5.4286 ,sd= 83.2435 ,min= 0 ,max= 2431.9588
                    zi_1_C1      zi_2_C2    zi_3_C3    zi_9_C9    zi_15_c15    zi_16_c16    zi_17_c17
                   __________    _______    _______    _______    _________    _________    _________

    zi_1_R1             179.7    2150.9           1          1           1            1             1
    zi_2_R2            173.52      2432           1    0.97992     0.90933      0.88601       0.86334
    zi_3_R3            133.72    884.14     0.94948    0.93523     0.92617      0.90933        0.8899
    zi_50_R50         0.52564     6.419           0          0           0     0.007772     0.0064767
    zi_98_R98       0.0010401         0           0          0           0            0             0
    zi_99_R99        0.000978         0           0          0           0            0             0
    zi_100_r100    0.00091964         0           0          0           0            0             0

----------------------------------------
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Matrix in Container and Sizes and Basic Statistics
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                          i     idx    rowN    colN      mean        std         min         max  
                          __    ___    ____    ____    ________    _______    __________    ______

    ar_pol_diff_norm       1     1     133       1       58.499     291.82             0      2432
    ar_val_diff_norm       2     3     133       1       10.276     29.268    0.00091964     179.7
    cl_mt_coh              3     4     772      15       18.614     22.334           -20    57.277
    cl_mt_cons             4     5     772      15       2.9005     2.8392           -20    7.8854
    cl_mt_pol_a            5     6     772      15       9.3947     19.047           -20    49.172
    cl_mt_pol_c            6     7     772      15       3.1183      1.581          0.02    7.8854
    cl_mt_pol_k            7     8     772      15       6.3193     5.1683             0    22.224
    mt_pol_idx             8     9     772      15        19319      11147             1     38595
    mt_pol_perc_change     9    10     133      15     0.088391    0.23978             0         1
    mt_val                10    11     772      15        8.527     7.1164       -9.9353    16.598
    tb_pol_a              11    12     100      12       11.448     29.285           -20    49.172
    tb_val                12    13     100      12       4.8055      11.04       -9.9353    16.598
    tb_valpol_alliter     13    14     100      17       5.4286     83.244             0      2432

----------------------------------------
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Strings in Container and Sizes and Basic Statistics
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                       i    idx
                       _    ___

    ar_st_pol_names    1     2 

end
end
ans = 

  Map with properties:

        Count: 14
      KeyType: char
    ValueType: any