1 Distribution Exact Savings Choices

This is the example vignette for function: snw_ds_main from the PrjOptiSNW Package. This function solves for vfi and gets distribution induced by policy functions and exogenous distributions. Looped to get distribution, but uses bisect vec for VFI.

1.1 Test SNW_DS_MAIN Defaults

Call the function with testing defaults.

mp_params = snw_mp_param('default_docdense');
mp_controls = snw_mp_control('default_test');
mp_controls('bl_print_vfi') = false;
mp_controls('bl_print_ds') = false;
mp_controls('bl_print_ds_verbose') = false;
[Phi_true,Phi_adj,A_agg,Y_inc_agg,it,mp_dsvfi_results] = snw_ds_main(mp_params, mp_controls);

Completed SNW_VFI_MAIN_BISEC_VEC;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=551.0862
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                i    idx    ndim     numel      rowN      colN           sum         mean       std      coefvari      min          max    
                _    ___    ____    ________    ____    _________    ___________    _______    ______    ________    ________    __________

    V_VFI       1     1      6      4.37e+07     83     5.265e+05    -8.6673e+08    -19.834    28.177    -1.4206      -615.77    -0.0071775
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.4164e+09     32.412      36.8     1.1354            0        163.73
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05      2.131e+08     4.8764    8.3268     1.7076     0.036717        141.61

xxx TABLE:V_VFI xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -376.05    -375.66    -373.17     -367.4    -358.05        -6.68      -6.5297      -6.3792      -6.2274      -6.0722
    r2      -363.8    -363.41    -360.93    -355.25    -346.25      -6.4892      -6.3437      -6.1974      -6.0495      -5.8977
    r3     -351.75    -351.36     -348.9    -343.44     -334.9      -6.2948      -6.1538      -6.0116      -5.8671      -5.7186
    r4     -339.81    -339.45    -337.16    -332.06    -324.04       -6.095      -5.9584        -5.82      -5.6786       -5.533
    r5     -328.99    -328.65    -326.51    -321.72    -314.17      -5.9054      -5.7725      -5.6372      -5.4986      -5.3556
    r79    -14.033     -14.02    -13.926    -13.689    -13.287     -0.22848     -0.21775     -0.20768     -0.19824     -0.18938
    r80    -12.564     -12.55    -12.457     -12.22    -11.818     -0.17427     -0.16611     -0.15842     -0.15117     -0.14434
    r81    -10.778    -10.764    -10.671    -10.434    -10.032     -0.11927     -0.11368     -0.10843     -0.10346    -0.098767
    r82    -8.4226    -8.4089    -8.3155    -8.0786    -7.6766     -0.06597     -0.06284    -0.059924    -0.057184    -0.054584
    r83    -5.0665    -5.0529    -4.9595    -4.7226    -4.3206    -0.020968    -0.019972    -0.019038    -0.018161    -0.017336

xxx TABLE:ap_VFI xxxxxxxxxxxxxxxxxx
           c1    c2        c3           c4            c5        c526496    c526497    c526498    c526499    c526500
           __    __    __________    _________    __________    _______    _______    _______    _______    _______

    r1     0     0      0.0005656    0.0075134      0.022901    114.76     120.42     126.29     132.39     138.81 
    r2     0     0     0.00051498    0.0065334      0.021549    114.87     120.54     126.42     132.55     138.97 
    r3     0     0     0.00051498    0.0049294      0.019875    114.98     120.67     126.57     132.72     139.13 
    r4     0     0     0.00051498    0.0047937      0.019672    115.74     121.44     127.36     133.52     139.94 
    r5     0     0     0.00048517    0.0046683      0.019484    116.51     122.22     128.16     134.34     140.76 
    r79    0     0              0            0    0.00051498    81.091      85.68     90.325     94.371      98.41 
    r80    0     0              0            0             0    76.669      80.55     84.292     88.029     91.682 
    r81    0     0              0            0             0    68.313      71.52     74.459     77.816     81.096 
    r82    0     0              0            0             0    50.126     53.467     56.953     58.728     60.587 
    r83    0     0              0            0             0         0          0          0          0          0 

xxx TABLE:cons_VFI xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.036717    0.037251    0.040426     0.04363    0.048012    9.6396     9.8066     9.9533      10.06      10.06 
    r2     0.036717    0.037251    0.040477     0.04461    0.049364    9.8014     9.9571     10.088     10.177     10.177 
    r3     0.036717    0.037251    0.040477    0.046214    0.051039    9.9664     10.108      10.22     10.287     10.287 
    r4     0.038144    0.038678    0.041903    0.047776    0.052666    10.118     10.244     10.339     10.388     10.388 
    r5     0.039534    0.040068    0.043323     0.04929    0.054241    10.258     10.369     10.446     10.483     10.483 
    r79     0.19737     0.19791     0.20163     0.21175     0.23093    35.811     37.046     38.418     40.587     42.963 
    r80     0.19737     0.19791     0.20163     0.21175     0.23145    40.207      42.15     44.426     46.904     49.665 
    r81     0.19737     0.19791     0.20163     0.21175     0.23145    48.541     51.158     54.236     57.094     60.229 
    r82     0.19737     0.19791     0.20163     0.21175     0.23145     66.71     69.193     71.724     76.164      80.72 
    r83     0.19737     0.19791     0.20163     0.21175     0.23145    116.82     122.65     128.66     134.88     141.29 

Completed SNW_DS_MAIN;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=2153.0961

% [Phi_true,Phi_adj] = snw_ds_main(mp_params, mp_controls);
Phi_true = Phi_true/sum(Phi_true(:));

1.2 Show All Info in mp_dsvfi_results More Dense

mp_cl_mt_xyz_of_s = mp_dsvfi_results('mp_cl_mt_xyz_of_s');
disp(mp_cl_mt_xyz_of_s('tb_outcomes'))

                       mean      unweighted_sum       sd       coefofvar      gini        min          max         pYis0       pYls0      pYgr0      pYisMINY      pYisMAXY      p0_01        p0_1         p1           p5          p10           p20          p25         p30         p40         p50         p60         p70        p75        p80         p90        p95        p99       p99_9     p99_99     fl_cov_a_ss    fl_cor_a_ss    fl_cov_ap_ss    fl_cor_ap_ss    fl_cov_cons_ss    fl_cor_cons_ss    fl_cov_v_ss    fl_cor_v_ss    fl_cov_n_ss    fl_cor_n_ss    fl_cov_y_all    fl_cor_y_all    fl_cov_y_head_inc    fl_cor_y_head_inc    fl_cov_y_head_earn    fl_cor_y_head_earn    fl_cov_y_spouse_inc    fl_cor_y_spouse_inc    fl_cov_yshr_interest    fl_cor_yshr_interest    fl_cov_yshr_wage    fl_cor_yshr_wage    fl_cov_yshr_SS    fl_cor_yshr_SS    fl_cov_yshr_tax    fl_cor_yshr_tax    fl_cov_yshr_nttxss    fl_cor_yshr_nttxss    fracByP0_01    fracByP0_1     fracByP1     fracByP5     fracByP10     fracByP20     fracByP25    fracByP30    fracByP40    fracByP50    fracByP60    fracByP70    fracByP75    fracByP80     fracByP90    fracByP95    fracByP99    fracByP99_9    fracByP99_99
                     ________    ______________    ________    _________    ________    ________    __________    ________    _______    _______    __________    __________    ________    ________    _________    ________    __________    _________    _________    ________    ________    ________    ________    _______    _______    ________    _______    _______    _______    _______    _______    ___________    ___________    ____________    ____________    ______________    ______________    ___________    ___________    ___________    ___________    ____________    ____________    _________________    _________________    __________________    __________________    ___________________    ___________________    ____________________    ____________________    ________________    ________________    ______________    ______________    _______________    _______________    __________________    __________________    ___________    __________    __________    _________    __________    __________    _________    _________    _________    _________    _________    _________    _________    __________    _________    _________    _________    ___________    ____________

    a_ss               4.3602            2228        6.8796      1.5778       0.6755           0           135     0.11808          0    0.88192       0.11808    6.8049e-06           0           0            0           0             0     0.064373      0.17664     0.37542     0.88989      1.7381      3.0034     4.7693     5.4836      7.1191      12.56     16.875     30.548     56.953     90.439       47.329               1         47.318         0.99439             3.476          0.72826          85.362        0.50541          -1.478      -0.14945          4.4255          0.4309             3.9427             0.56573                1.8957               0.29692                0.63663              0.096963                  0.80041                  0.6619              -0.80811           -0.34878            0.007703        0.0049412             0.10041           0.40929             0.09271              0.054578                  0              0             0            0             0    0.00071111    0.0023543    0.0065355    0.023222     0.057104      0.11454       0.2027      0.23918        0.32171     0.55921      0.69427      0.90202        0.9849        0.99794   
    ap_ss              4.4621      5.3216e+08        6.9169      1.5501      0.67638           0        163.73    0.097968          0    0.90203      0.097968    2.2836e-12           0           0            0           0    0.00051498     0.083002      0.20935     0.39434     0.90689      1.6906      2.8912     4.7054     5.9044      7.4694     12.521     17.769     31.792     57.866     90.717       47.318         0.99439         47.844               1            3.5799          0.74597          86.258        0.50797         -1.4406      -0.14488          5.3011         0.51337             4.2301             0.60369                 2.208               0.34397                 1.2003               0.18183                  0.75231                 0.61877              -0.71978           -0.30898            -0.03253        -0.020754             0.11154           0.45221             0.14407              0.084358                  0              0             0            0    1.8925e-07     0.0007016    0.0022849    0.0056773    0.019937     0.048358     0.098974      0.18293      0.24222        0.31675     0.53294      0.69899       0.9039       0.98396        0.99764   
    cons_ss            1.0635      5.0787e+07        0.6938     0.65237      0.33936    0.036717        141.61           0          0          1    8.6094e-07             0    0.066342     0.10404      0.18515     0.27323       0.35662      0.49455      0.56067     0.62765     0.76677     0.91665      1.0828     1.2762     1.3916      1.5274     1.9354     2.3449     3.4017     5.2893     7.5592        3.476         0.72826         3.5799         0.74597           0.48135                1          10.309        0.60524         0.23978       0.24042         0.77367         0.74697             0.5704             0.81157               0.43323               0.67286                 0.2014               0.30417                  0.03747                 0.30725            -0.0042544          -0.018207           -0.033215         -0.21127            0.018848           0.76179            0.052063               0.30392         5.4726e-06     8.2626e-05     0.0013773     0.010075      0.024991      0.065093     0.089893      0.11782      0.1833      0.26234      0.35614      0.46671      0.52936        0.59788     0.75856      0.85803      0.96048       0.99413        0.99921   
    v_ss              -36.615     -4.0773e+08         24.55    -0.67049     -0.33945     -615.77    -0.0071775           0          1          0    1.2848e-09             0     -282.69     -195.21      -123.42     -82.353       -66.722      -51.524      -46.651     -42.634     -36.178     -30.943     -26.291    -21.909    -19.733     -17.548    -12.864    -9.9801    -6.2656    -3.6768    -2.3584       85.362         0.50541         86.258         0.50797            10.309          0.60524          602.71              1         -4.8671      -0.13791          13.833         0.37742             10.949             0.44025                6.7008               0.29411                 3.7173               0.15866                   2.1635                 0.50137               -3.5003           -0.42335              1.3368          0.24029             0.51425            0.5874            -0.82253              -0.13569         0.00088282      0.0063623      0.042155      0.14825       0.24876       0.40782      0.47473      0.53561     0.64287      0.73435       0.8124      0.87817       0.9066        0.93206     0.97375      0.98945      0.99862       0.99992        0.99999   
    n_ss               2.3554              21        1.4375     0.61029       0.3128           1             6           0          0          1       0.36005      0.041101           1           1            1           1             1            1            1           1           2           2           2          3          3           4          5          5          6          6          6       -1.478        -0.14945        -1.4406        -0.14488           0.23978          0.24042         -4.8671       -0.13791          2.0664             1         0.40171         0.18719            0.09459            0.064956               0.19345               0.14501                0.26737               0.19489                -0.072581                -0.28725               0.17131            0.35386           -0.098733          -0.3031            0.013683           0.26692             0.11242               0.31672            0.15286        0.15286       0.15286      0.15286       0.15286       0.15286      0.15286      0.15286     0.40183      0.40183      0.40183      0.56321      0.56321        0.75407      0.8953       0.8953            1             1              1   
    y_all              1.4189       8.353e+07        1.4929      1.0521      0.47667           0        50.873    0.005851          0    0.99415      0.005851    2.2836e-12           0           0    0.0044495      0.1012        0.2312      0.42433      0.51215     0.60445     0.79046      1.0019      1.2602     1.5974     1.8194      2.1039     3.0549     4.0455     6.8994     14.815     21.023       4.4255          0.4309         5.3011         0.51337           0.77367          0.74697          13.833        0.37742         0.40171       0.18719          2.2287               1             1.1598             0.76691                1.0262               0.74071                 1.0254               0.71972                -0.025419               -0.096867               0.13901            0.27647            -0.11359         -0.33577            0.040527           0.76125             0.15411               0.41809                  0              0    7.7846e-06    0.0014743     0.0075438      0.030947     0.047485     0.067108     0.11603       0.1789      0.25825      0.35829      0.41836        0.48725     0.66478      0.78775      0.92882        0.9876        0.99835   
    y_head_inc         1.1081      1.9253e+06         1.013     0.91419      0.42164    0.038108        24.357           0          0          1    1.2258e-06     1.694e-09    0.065666      0.1034      0.17983     0.24742       0.30438      0.41077      0.47063     0.52838     0.65292      0.8006     0.98455     1.2279     1.3881      1.5859     2.2533     2.9937     5.0375     8.8678     13.702       3.9427         0.56573         4.2301         0.60369            0.5704          0.81157          10.949        0.44025         0.09459      0.064956          1.1598         0.76691             1.0262                   1               0.89528               0.95229                0.10683                0.1105                0.0035862                 0.02014              0.064337            0.18857           -0.067923         -0.29589            0.025209           0.69781            0.093132               0.37233         5.2131e-06     7.7569e-05     0.0013113    0.0094768      0.022842      0.055458     0.076507     0.096841      0.1495      0.21496      0.29527       0.3946       0.4535        0.52044     0.68972      0.80585       0.9399       0.99015        0.99857   
    y_head_earn       0.88655           19732       0.92804      1.0468      0.53121           0        18.957      0.2016          0     0.7984        0.2016    1.2258e-07           0           0            0           0             0            0      0.28106     0.37421     0.52794     0.68288     0.85118     1.0805     1.2168      1.3913     1.9622     2.5935     4.2881     7.4575     11.644       1.8957         0.29692          2.208         0.34397           0.43323          0.67286          6.7008        0.29411         0.19345       0.14501          1.0262         0.74071            0.89528             0.95229               0.86126                     1               0.089134               0.10064                -0.039646                -0.24304               0.12593            0.40291           -0.086287         -0.41031            0.022414           0.67725              0.1087               0.47437                  0              0             0            0             0             0     0.011684     0.030168    0.080999       0.1488      0.23502      0.34392      0.40836        0.48157     0.66665      0.79244      0.93633       0.98962        0.99849   
    y_spouse_inc      0.35797       4.827e+05       0.95437      2.6661      0.85269           0        26.627     0.52499          0    0.47501       0.52499    1.9415e-10           0           0            0           0             0            0            0           0           0           0      0.1002    0.26236    0.35911     0.45945    0.88325     1.9998     3.3624     12.834     17.794      0.63663        0.096963         1.2003         0.18183            0.2014          0.30417          3.7173        0.15866         0.26737       0.19489          1.0254         0.71972            0.10683              0.1105              0.089134               0.10064                0.91083                     1                -0.017789                -0.10604              0.045397            0.14124           -0.027608         -0.12766            0.014097            0.4142            0.041705               0.17698                  0              0             0            0             0             0            0            0           0            0     0.012673     0.062275      0.10534        0.16263     0.32833      0.52547      0.80928       0.95801        0.99466   
    yshr_interest     0.12865      3.8438e+06       0.17577      1.3663      0.65781           0       0.99299     0.11808          0    0.88192       0.11808             0           0           0            0           0             0    0.0026411    0.0067149    0.012816    0.029566    0.054027    0.089573    0.13973     0.1741      0.2187    0.39107    0.54752    0.74727    0.86028    0.91481      0.80041          0.6619        0.75231         0.61877           0.03747          0.30725          2.1635        0.50137       -0.072581      -0.28725       -0.025419       -0.096867          0.0035862             0.02014             -0.039646              -0.24304              -0.017789              -0.10604                 0.030897                       1             -0.046487           -0.78527            0.015591          0.39143         -6.1614e-05        -0.0098294           -0.015653              -0.36065                  0              0             0            0             0    0.00070705    0.0024473    0.0062059    0.022256     0.054106      0.10916      0.19743      0.25844        0.33449     0.57087      0.74007      0.93773       0.99314        0.99928   
    yshr_wage         0.77402      8.8881e+06       0.33679     0.43512       0.2062           0             1     0.10584          0    0.89416       0.10584        0.1117           0           0            0           0             0      0.64562      0.76513     0.82574     0.89607     0.93893     0.96712    0.98555    0.99223     0.99687          1          1          1          1          1     -0.80811        -0.34878       -0.71978        -0.30898        -0.0042544        -0.018207         -3.5003       -0.42335         0.17131       0.35386         0.13901         0.27647           0.064337             0.18857               0.12593               0.40291               0.045397               0.14124                -0.046487                -0.78527               0.11343                  1            -0.06694         -0.87712           0.0042342           0.35255            0.071175               0.85589                  0              0             0            0             0      0.036059     0.082214      0.13376      0.2454      0.36413      0.48739      0.61361       0.6775         0.7418           1            1            1             1              1   
    yshr_SS          0.097329           29012        0.2266      2.3282      0.91382           0             1      0.7984          0     0.2016        0.7984      0.005851           0           0            0           0             0            0            0           0           0           0           0          0          0    0.079765    0.43585    0.68492    0.98018          1          1     0.007703       0.0049412       -0.03253       -0.020754         -0.033215         -0.21127          1.3368        0.24029       -0.098733       -0.3031        -0.11359        -0.33577          -0.067923            -0.29589             -0.086287              -0.41031              -0.027608              -0.12766                 0.015591                 0.39143              -0.06694           -0.87712            0.051349                1          -0.0041726          -0.51635           -0.055522              -0.99232                  0              0             0            0             0             0            0            0           0            0            0            0            0     0.00087521     0.28391      0.57844       0.8997             1              1   
    yshr_tax          0.17833      2.8338e+06      0.035661     0.19998      0.11386    0.036506        0.2552           0          0          1    8.6094e-07    2.2836e-12    0.054112    0.071805     0.098913     0.11316       0.12645      0.14591      0.15354     0.16011     0.17194     0.18233     0.19206    0.20154    0.20634     0.21134     0.2227    0.22979    0.24005    0.24896    0.25148      0.10041         0.40929        0.11154         0.45221          0.018848          0.76179         0.51425         0.5874        0.013683       0.26692        0.040527         0.76125           0.025209             0.69781              0.022414               0.67725               0.014097                0.4142              -6.1614e-05              -0.0098294             0.0042342            0.35255          -0.0041726         -0.51635           0.0012717                 1           0.0054443               0.61831         2.8386e-05     0.00035854     0.0048507      0.02883      0.062514       0.13924      0.18121      0.22517     0.31837      0.41773      0.52273       0.6331      0.69028        0.74883     0.87042      0.93381       0.9863        0.9986        0.99986   
    yshr_nttxss      0.080996      2.8048e+06       0.24691      3.0485       1.2592    -0.89715        0.2552           0    0.17487    0.82513     0.0046688    2.2836e-12    -0.89715    -0.89715     -0.87632    -0.55668      -0.28938     0.089704      0.12767     0.14393     0.16376     0.17779     0.18942    0.20008    0.20534     0.21073    0.22249    0.22962    0.23995    0.24896    0.25148      0.09271        0.054578        0.14407        0.084358          0.052063          0.30392        -0.82253       -0.13569         0.11242       0.31672         0.15411         0.41809           0.093132             0.37233                0.1087               0.47437               0.041705               0.17698                -0.015653                -0.36065              0.071175            0.85589           -0.055522         -0.99232           0.0054443           0.61831            0.060966                     1          -0.051713      -0.051713      -0.11699     -0.46646      -0.71714      -0.82936     -0.75963      -0.6753    -0.48446     -0.27326     -0.04639       0.1941      0.31924        0.44766     0.71492      0.85436      0.96984       0.99691        0.99969   

1.3 More Dense Param Results Define Frames

Define the matrix dimensions names and dimension vector values. Probability mass matrixes, Policy and Value Functions share the same ND dimensional structure.

% Grids:
age_grid = 18:100;
agrid = mp_params('agrid')';
eta_H_grid = mp_params('eta_H_grid')';
eta_S_grid = mp_params('eta_S_grid')';
ar_st_eta_HS_grid = string(cellstr([num2str(eta_H_grid', 'hz=%3.2f;'), num2str(eta_S_grid', 'wz=%3.2f')]));
edu_grid = [0,1];
marry_grid = [0,1];
kids_grid = (1:1:mp_params('n_kidsgrid'))';
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
cl_mp_datasetdesc = {};
cl_mp_datasetdesc{1} = containers.Map({'name', 'labval'}, {'age', age_grid});
cl_mp_datasetdesc{2} = containers.Map({'name', 'labval'}, {'savings', agrid});
cl_mp_datasetdesc{3} = containers.Map({'name', 'labval'}, {'eta', 1:length(eta_H_grid)});
cl_mp_datasetdesc{4} = containers.Map({'name', 'labval'}, {'edu', edu_grid});
cl_mp_datasetdesc{5} = containers.Map({'name', 'labval'}, {'marry', marry_grid});
cl_mp_datasetdesc{6} = containers.Map({'name', 'labval'}, {'kids', kids_grid});

1.4 Analyze Probability Mass Along Age Dimensions

Where are the mass at? Analyze mass given state space components.

% Get the Joint distribution over all states
% Define Graph Inputs
mp_support_graph = containers.Map('KeyType', 'char', 'ValueType', 'any');
mp_support_graph('st_legend_loc') = 'best';
mp_support_graph('bl_graph_logy') = false; % do not log

Exogenous Permanent States Mass: Life Cycle, Edu and Marraige

Tabulate value and policies along savings and shocks:

% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [2,3,6,1,5,4];
% Value Function
tb_prob_aem = ff_summ_nd_array("P(Age, EDU, MARRY))", Phi_true, true, ["sum"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  P(Age, EDU, MARRY))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    marry    edu    sum_age_18    sum_age_19    sum_age_20    sum_age_21    sum_age_22    sum_age_23    sum_age_24    sum_age_25    sum_age_26    sum_age_27    sum_age_28    sum_age_29    sum_age_30    sum_age_31    sum_age_32    sum_age_33    sum_age_34    sum_age_35    sum_age_36    sum_age_37    sum_age_38    sum_age_39    sum_age_40    sum_age_41    sum_age_42    sum_age_43    sum_age_44    sum_age_45    sum_age_46    sum_age_47    sum_age_48    sum_age_49    sum_age_50    sum_age_51    sum_age_52    sum_age_53    sum_age_54    sum_age_55    sum_age_56    sum_age_57    sum_age_58    sum_age_59    sum_age_60    sum_age_61    sum_age_62    sum_age_63    sum_age_64    sum_age_65    sum_age_66    sum_age_67    sum_age_68    sum_age_69    sum_age_70    sum_age_71    sum_age_72    sum_age_73    sum_age_74    sum_age_75    sum_age_76    sum_age_77    sum_age_78    sum_age_79    sum_age_80    sum_age_81    sum_age_82    sum_age_83    sum_age_84    sum_age_85    sum_age_86    sum_age_87    sum_age_88    sum_age_89    sum_age_90    sum_age_91    sum_age_92    sum_age_93    sum_age_94    sum_age_95    sum_age_96    sum_age_97    sum_age_98    sum_age_99    sum_age_100
    _____    _____    ___    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    ___________

      1        0       0     0.0085768     0.0084866     0.0083969     0.0083078     0.0082194     0.0081317      0.008045     0.0079593     0.0078747     0.0077911     0.0077085     0.0076266     0.0075453     0.0074646     0.0073844     0.0073046     0.0072252     0.0071459     0.0070668     0.0069879     0.0069091     0.0068303     0.0067514     0.0066726     0.0065937     0.0065147     0.0064357     0.0063567     0.0062776     0.0061983     0.0061189     0.0060396     0.0059603      0.005881     0.0058016     0.0057216     0.0056408     0.0055589     0.0054756     0.0053908     0.0053043     0.0052161     0.0051259     0.0050335     0.0049387     0.0048411     0.0047406     0.0046367     0.0045292      0.004418      0.004303     0.0041845     0.0040623     0.0039361     0.0038056     0.0036711     0.0035334     0.0033925     0.0032478     0.0030988      0.0029455     0.0027884     0.0026273     0.0024621      0.002293     0.0021201      0.001944     0.0017658     0.0015869     0.0014094     0.0012354     0.0010674    0.00090778    0.00075865    0.00062207    0.00049952    0.00039211    0.00030029    0.00022417    0.00016302    0.00011555    7.9822e-05    5.3851e-05 
      2        1       0     0.0066438     0.0065739     0.0065044     0.0064354     0.0063669      0.006299     0.0062318     0.0061654     0.0060999     0.0060352     0.0059712     0.0059078     0.0058448     0.0057823     0.0057201     0.0056583     0.0055968     0.0055354     0.0054741      0.005413     0.0053519     0.0052909     0.0052298     0.0051687     0.0051076     0.0050465     0.0049853     0.0049241     0.0048627     0.0048013     0.0047398     0.0046784      0.004617     0.0045556      0.004494     0.0044321     0.0043695      0.004306     0.0042415     0.0041758     0.0041089     0.0040405     0.0039706     0.0038991     0.0038256       0.00375     0.0036721     0.0035917     0.0035084     0.0034223     0.0033332     0.0032414     0.0031468      0.003049     0.0029479     0.0028437      0.002737     0.0026279     0.0025158     0.0024004      0.0022817     0.0021599     0.0020351     0.0019072     0.0017762     0.0016423     0.0015059     0.0013678     0.0012292     0.0010917    0.00095698    0.00082686    0.00070319    0.00058766    0.00048187    0.00038694    0.00030374    0.00023261    0.00017365    0.00012628    8.9507e-05    6.1832e-05    4.1714e-05 
      3        0       1     0.0028875     0.0028571      0.002827      0.002797     0.0027672     0.0027377     0.0027085     0.0026796     0.0026511      0.002623     0.0025952     0.0025676     0.0025403     0.0025131     0.0024861     0.0024592     0.0024325     0.0024058     0.0023792     0.0023526     0.0023261     0.0022995      0.002273     0.0022464     0.0022199     0.0021933     0.0021667     0.0021401     0.0021134     0.0020868       0.00206     0.0020333     0.0020066       0.00198     0.0019532     0.0019263     0.0018991     0.0018715     0.0018435     0.0018149     0.0017858     0.0017561     0.0017257     0.0016946     0.0016627     0.0016298      0.001596      0.001561     0.0015248     0.0014874     0.0014487     0.0014088     0.0013676     0.0013252     0.0012812      0.001236     0.0011896     0.0011421     0.0010934     0.0010433     0.00099167    0.00093875    0.00088452    0.00082891    0.00077197    0.00071377    0.00065448    0.00059448    0.00053425    0.00047448    0.00041592    0.00035937    0.00030562    0.00025541    0.00020943    0.00016817    0.00013201     0.0001011    7.5472e-05    5.4885e-05    3.8901e-05    2.6873e-05     1.813e-05 
      4        1       1     0.0037292     0.0036899     0.0036509     0.0036122     0.0035738     0.0035356     0.0034979     0.0034607     0.0034239     0.0033876     0.0033516      0.003316     0.0032807     0.0032456     0.0032107      0.003176     0.0031415      0.003107     0.0030726     0.0030383      0.003004     0.0029698     0.0029355     0.0029012     0.0028669     0.0028326     0.0027982     0.0027639     0.0027295      0.002695     0.0026605      0.002626     0.0025915     0.0025571     0.0025225     0.0024877     0.0024526      0.002417     0.0023808     0.0023439     0.0023063     0.0022679     0.0022287     0.0021886     0.0021473     0.0021049     0.0020612      0.002016     0.0019693     0.0019209     0.0018709     0.0018194     0.0017663     0.0017114     0.0016547     0.0015962     0.0015363     0.0014751     0.0014122     0.0013474      0.0012807     0.0012124     0.0011423     0.0010705    0.00099699    0.00092182    0.00084525    0.00076776    0.00068997    0.00061278    0.00053716    0.00046412     0.0003947    0.00032986    0.00027047    0.00021719    0.00017049    0.00013057     9.747e-05    7.0882e-05     5.024e-05    3.4706e-05    2.3414e-05 

mp_support_graph('cl_st_graph_title') = {'Pstationary(Age, Edu, Marry), age=x, marry/edu=color'};
mp_support_graph('cl_st_ytitle') = {'Conditional Aggregate Mass'};
ar_row_grid = ["M0E0", "M1E0", "M0E1", "M1E1"];
mp_support_graph('cl_st_xtitle') = {'Age Groups'};
mp_support_graph('cl_scatter_shapes') = {'*', '*', 'p', 'p' };
mp_support_graph('cl_colors') = {'red', 'blue', 'red', 'blue'};
ff_graph_grid((tb_prob_aem{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Kids and Marry By Age Mass

% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [2,3,4,1,6,5];
% Value Function
tb_prob_amarrykids = ff_summ_nd_array("P(Age, Kids, Marry))", Phi_true, true, ["sum"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  P(Age, Kids, Marry))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    kids    marry    sum_age_18    sum_age_19    sum_age_20    sum_age_21    sum_age_22    sum_age_23    sum_age_24    sum_age_25    sum_age_26    sum_age_27    sum_age_28    sum_age_29    sum_age_30    sum_age_31    sum_age_32    sum_age_33    sum_age_34    sum_age_35    sum_age_36    sum_age_37    sum_age_38    sum_age_39    sum_age_40    sum_age_41    sum_age_42    sum_age_43    sum_age_44    sum_age_45    sum_age_46    sum_age_47    sum_age_48    sum_age_49    sum_age_50    sum_age_51    sum_age_52    sum_age_53    sum_age_54    sum_age_55    sum_age_56    sum_age_57    sum_age_58    sum_age_59    sum_age_60    sum_age_61    sum_age_62    sum_age_63    sum_age_64    sum_age_65    sum_age_66    sum_age_67    sum_age_68    sum_age_69    sum_age_70    sum_age_71    sum_age_72    sum_age_73    sum_age_74    sum_age_75    sum_age_76    sum_age_77    sum_age_78    sum_age_79    sum_age_80    sum_age_81    sum_age_82    sum_age_83    sum_age_84    sum_age_85    sum_age_86    sum_age_87    sum_age_88    sum_age_89    sum_age_90    sum_age_91    sum_age_92    sum_age_93    sum_age_94    sum_age_95    sum_age_96    sum_age_97    sum_age_98    sum_age_99    sum_age_100
    _____    ____    _____    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    ___________

      1       1        0       0.0091249     0.0080278     0.0071652     0.0064765     0.0059205     0.0054683     0.0050992     0.0047982     0.0045538     0.0043571     0.0042017     0.0040823     0.0039948     0.0039361     0.0039038      0.003896     0.0039111     0.0039475    0.0040043      0.0040801     0.0041738     0.0042841     0.0044094     0.0045482     0.0046984     0.0048579      0.005024      0.005194     0.0053649     0.0055336     0.0056969      0.005852     0.0059958     0.0061259     0.0062398     0.0063356     0.0064118     0.0064673      0.006502      0.006516     0.0065102     0.0064856     0.0064435     0.0063855     0.0063128     0.0062269     0.0061288     0.0060196     0.0059003     0.0057716     0.0056346       0.00549     0.0053385       0.00518     0.0050143     0.0048422     0.0046649     0.0044826     0.0042946     0.0041003     0.0038999     0.0036939     0.0034822     0.0032648     0.0030419     0.0028137     0.0025809     0.0023451     0.0021082     0.0018729     0.0016422     0.0014192     0.0012073     0.0010091    0.00082763    0.00066472    0.00052188    0.00039974    0.00029846    0.00021708    0.00015388    0.00010632    7.1735e-05 
      2       2        0       0.0013699     0.0019743     0.0022187     0.0022858     0.0022687     0.0022149     0.0021488     0.0020826     0.0020221     0.0019698     0.0019262     0.0018912     0.0018639     0.0018432      0.001828      0.001817     0.0018088     0.0018021    0.0017953      0.0017872     0.0017761     0.0017607     0.0017398     0.0017121     0.0016767     0.0016329     0.0015803     0.0015189     0.0014488      0.001371     0.0012865     0.0011966     0.0011031     0.0010078    0.00091243    0.00081885    0.00072867    0.00064334    0.00056398     0.0004914    0.00042609    0.00036819    0.00031754    0.00027377    0.00023632    0.00020452    0.00017765    0.00015502    0.00013593     0.0001198    0.00010608    9.4348e-05    8.4219e-05     7.539e-05    6.7618e-05    6.0726e-05    5.4578e-05     4.906e-05    4.4073e-05    3.9538e-05    3.5401e-05    3.1618e-05    2.8151e-05    2.4964e-05    2.2031e-05    1.9327e-05    1.6836e-05    1.4546e-05    1.2448e-05     1.054e-05     8.819e-06    7.2808e-06    5.9228e-06    4.7396e-06    3.7252e-06    2.8702e-06    2.1639e-06    1.5932e-06    1.1445e-06    8.0168e-07    5.4782e-07    3.6518e-07    2.3794e-07 
      3       3        0      0.00071266    0.00098425     0.0013537     0.0016929     0.0019639     0.0021645     0.0023045      0.002396     0.0024505     0.0024771     0.0024825      0.002472     0.0024489     0.0024157     0.0023739     0.0023244     0.0022677     0.0022039    0.0021329      0.0020548     0.0019696     0.0018774     0.0017784     0.0016733     0.0015627     0.0014478     0.0013298     0.0012103     0.0010908    0.00097299    0.00085865    0.00074936    0.00064652    0.00055129     0.0004645    0.00038669    0.00031806    0.00025852    0.00020774    0.00016513    0.00012995    0.00010137    7.8512e-05    6.0485e-05    4.6456e-05    3.5667e-05    2.7452e-05    2.1243e-05    1.6572e-05    1.3063e-05    1.0422e-05    8.4212e-06    6.8911e-06    5.7052e-06    4.7717e-06    4.0255e-06      3.42e-06    2.9217e-06    2.5055e-06    2.1536e-06    1.8533e-06    1.5952e-06     1.372e-06    1.1777e-06    1.0079e-06    8.5899e-07    7.2804e-07     6.129e-07    5.1179e-07    4.2338e-07    3.4649e-07    2.8013e-07     2.234e-07    1.7543e-07    1.3544e-07    1.0259e-07    7.6111e-08    5.5185e-08     3.907e-08    2.6991e-08    1.8203e-08    1.1984e-08    7.7162e-09 
      4       4        0      0.00020622    0.00027865    0.00037326    0.00049476    0.00062818    0.00075864    0.00087609    0.00097519      0.001054     0.0011127     0.0011526     0.0011754     0.0011829      0.001177     0.0011594     0.0011314     0.0010943     0.0010493    0.0009976     0.00094019    0.00087821    0.00081277    0.00074503    0.00067615     0.0006073    0.00053959    0.00047408    0.00041169    0.00035323    0.00029933    0.00025042    0.00020679    0.00016848    0.00013541    0.00010733    8.3886e-05    6.4637e-05      4.91e-05    3.6772e-05    2.7157e-05    1.9785e-05    1.4228e-05    1.0108e-05    7.1028e-06    4.9444e-06    3.4171e-06    2.3509e-06    1.6155e-06    1.1133e-06    7.7297e-07     5.432e-07    3.8807e-07     2.828e-07    2.1058e-07    1.6024e-07    1.2445e-07    9.8413e-08    7.9013e-08    6.4195e-08    5.2617e-08    4.3403e-08    3.5958e-08    2.9864e-08    2.4824e-08     2.062e-08     1.709e-08    1.4112e-08    1.1593e-08    9.4599e-09    7.6577e-09    6.1402e-09    4.8694e-09    3.8131e-09    2.9433e-09    2.2357e-09    1.6677e-09    1.2194e-09    8.7204e-10    6.0942e-10    4.1586e-10     2.772e-10    1.8049e-10      1.15e-10 
      5       5        0      5.0761e-05    7.8715e-05      0.000113    0.00015485    0.00020534    0.00026306    0.00032482    0.00038683    0.00044539    0.00049743    0.00054062    0.00057347    0.00059519    0.00060569    0.00060535    0.00059499    0.00057573    0.00054888    0.0005159     0.00047826    0.00043744    0.00039484    0.00035174    0.00030926    0.00026837    0.00022984    0.00019424    0.00016196    0.00013322    0.00010807    8.6459e-05    6.8194e-05    5.3021e-05    4.0627e-05    3.0674e-05    2.2814e-05    1.6713e-05    1.2057e-05    8.5642e-06    5.9899e-06    4.1251e-06    2.7977e-06    1.8691e-06    1.2306e-06    7.9893e-07    5.1197e-07    3.2426e-07    2.0338e-07    1.2665e-07    7.8586e-08    4.8812e-08    3.0525e-08    1.9346e-08    1.2509e-08    8.3021e-09    5.6801e-09    4.0129e-09    2.9238e-09    2.1888e-09    1.6753e-09    1.3046e-09     1.029e-09    8.1896e-10    6.5555e-10    5.2638e-10      4.23e-10    3.3949e-10    2.7163e-10    2.1628e-10     1.711e-10    1.3427e-10    1.0435e-10    8.0176e-11    6.0789e-11    4.5401e-11    3.3332e-11    2.4007e-11    1.6927e-11    1.1671e-11    7.8635e-12     5.179e-12    3.3338e-12    2.1014e-12 
      6       1        1       0.0055624     0.0046679     0.0039774     0.0034368     0.0030088     0.0026667     0.0023914     0.0021689     0.0019887     0.0018427     0.0017251     0.0016312     0.0015577     0.0015019     0.0014618     0.0014362     0.0014241     0.0014246    0.0014377       0.001463     0.0015008     0.0015511     0.0016143     0.0016908     0.0017809      0.001885      0.002003     0.0021351      0.002281     0.0024399      0.002611      0.002793      0.002984     0.0031819      0.003384      0.003587     0.0037877     0.0039825     0.0041678     0.0043401     0.0044964      0.004634     0.0047507     0.0048449     0.0049154     0.0049617     0.0049839     0.0049824     0.0049584     0.0049131     0.0048484     0.0047663     0.0046686     0.0045568     0.0044319      0.004296     0.0041511     0.0039984     0.0038379     0.0036698     0.0034946     0.0033132     0.0031259     0.0029327      0.002734     0.0025302     0.0023218     0.0021105     0.0018979     0.0016866     0.0014793     0.0012788      0.001088    0.00090966    0.00074619    0.00059942    0.00047069    0.00036059    0.00026926    0.00019587    0.00013887    9.5953e-05    6.4748e-05 
      7       2        1       0.0027682     0.0025539     0.0023005     0.0020611     0.0018525     0.0016773      0.001533     0.0014158     0.0013217     0.0012472     0.0011893     0.0011456     0.0011143     0.0010937     0.0010827     0.0010803     0.0010855     0.0010977    0.0011161      0.0011401     0.0011689     0.0012017     0.0012376     0.0012756     0.0013143     0.0013524     0.0013886      0.001421     0.0014482     0.0014684     0.0014801      0.001482      0.001473     0.0014524     0.0014198     0.0013752     0.0013193     0.0012529     0.0011777     0.0010954     0.0010082    0.00091823    0.00082772    0.00073874    0.00065311    0.00057235    0.00049762    0.00042968    0.00036894    0.00031546    0.00026904    0.00022925    0.00019547    0.00016702    0.00014315    0.00012319    0.00010651    9.2518e-05    8.0695e-05    7.0606e-05    6.1917e-05     5.436e-05     4.772e-05    4.1827e-05    3.6555e-05    3.1807e-05    2.7512e-05    2.3622e-05    2.0104e-05    1.6937e-05    1.4105e-05    1.1594e-05    9.3928e-06    7.4871e-06    5.8628e-06    4.5011e-06     3.382e-06    2.4818e-06    1.7773e-06    1.2411e-06    8.4565e-07    5.6213e-07    3.6529e-07 
      8       3        1       0.0014982     0.0021823     0.0025943     0.0028096      0.002896     0.0029031     0.0028647     0.0028027     0.0027309     0.0026577      0.002588     0.0025245     0.0024687      0.002421     0.0023812     0.0023486     0.0023224     0.0023014    0.0022844      0.0022697     0.0022557     0.0022408     0.0022231     0.0022009     0.0021726     0.0021364     0.0020913     0.0020361     0.0019701     0.0018931     0.0018054     0.0017077     0.0016012     0.0014872     0.0013678     0.0012449     0.0011207    0.00099757    0.00087765    0.00076294    0.00065518    0.00055572    0.00046552    0.00038514    0.00031472    0.00025407     0.0002027    0.00015992    0.00012486    9.6581e-05    7.4118e-05    5.6534e-05    4.2952e-05    3.2581e-05    2.4741e-05    1.8864e-05    1.4482e-05    1.1223e-05    8.7917e-06    6.9665e-06    5.5832e-06    4.5215e-06    3.6937e-06    3.0369e-06    2.5068e-06    2.0722e-06    1.7111e-06    1.4082e-06    1.1525e-06    9.3629e-07    7.5366e-07    6.0003e-07    4.7168e-07    3.6541e-07    2.7851e-07    2.0841e-07    1.5282e-07    1.0958e-07     7.676e-08    5.2493e-08    3.5059e-08    2.2867e-08    1.4593e-08 
      9       4        1      0.00041197    0.00064648    0.00095224     0.0012491     0.0015009     0.0016975     0.0018418     0.0019421     0.0020076     0.0020468     0.0020667     0.0020726     0.0020682      0.002056     0.0020378     0.0020142     0.0019854     0.0019514    0.0019116      0.0018658     0.0018134     0.0017541     0.0016876     0.0016141     0.0015338     0.0014473     0.0013554     0.0012592     0.0011597     0.0010585    0.00095706     0.0008568     0.0007592     0.0006656    0.00057712    0.00049471     0.0004191    0.00035076    0.00028993    0.00023662    0.00019062    0.00015156    0.00011891    9.2043e-05    7.0285e-05    5.2946e-05    3.9346e-05    2.8849e-05    2.0876e-05    1.4915e-05    1.0529e-05    7.3519e-06    5.0838e-06    3.4874e-06    2.3784e-06    1.6175e-06     1.101e-06    7.5308e-07    5.1981e-07    3.6353e-07    2.5849e-07    1.8732e-07    1.3842e-07    1.0417e-07    7.9634e-08    6.1613e-08    4.8051e-08    3.7627e-08    2.9477e-08    2.3029e-08    1.7893e-08    1.3791e-08    1.0521e-08    7.9264e-09    5.8853e-09    4.2971e-09    3.0787e-09    2.1598e-09    1.4819e-09    9.9378e-10    6.5153e-10    4.1754e-10    2.6207e-10 
     10       5        1      0.00013221     0.0002132    0.00033097    0.00049097    0.00068255     0.0008901     0.0010988     0.0012966      0.001475     0.0016284     0.0017538     0.0018498     0.0019166     0.0019552     0.0019673     0.0019551     0.0019209     0.0018673     0.001797      0.0017127     0.0016172      0.001513     0.0014026     0.0012885     0.0011729     0.0010579    0.00094522    0.00083658    0.00073327    0.00063638    0.00054672    0.00046486    0.00039109    0.00032548    0.00026787    0.00021795    0.00017526    0.00013924    0.00010927    8.4666e-05    6.4764e-05    4.8893e-05    3.6422e-05    2.6765e-05    1.9399e-05    1.3864e-05    9.7695e-06    6.7866e-06    4.6473e-06    3.1372e-06    2.0881e-06    1.3708e-06    8.8795e-07    5.6791e-07    3.5896e-07    2.2457e-07    1.3936e-07    8.6019e-08    5.2993e-08    3.2726e-08    2.0369e-08    1.2856e-08    8.2767e-09    5.4599e-09    3.6997e-09    2.5742e-09    1.8336e-09    1.3306e-09    9.7818e-10    7.2443e-10    5.3774e-10    3.9833e-10    2.9336e-10    2.1411e-10    1.5443e-10    1.0977e-10    7.6711e-11    5.2574e-11    3.5293e-11    2.3185e-11    1.4908e-11    9.3809e-12    5.7868e-12 

mp_support_graph('cl_st_graph_title') = {'Pstationary(Age, Kids, Marry), age=x, kids/marry=color'};
mp_support_graph('cl_st_ytitle') = {'Conditional Aggregate Mass'};
ar_row_grid = [...
    "k0M0", "K1M0", "K2M0", "K3M0", "K4M0", ...
    "k0M1", "K1M1", "K2M1", "K3M1", "K4M1"];
mp_support_graph('cl_scatter_shapes') = {...
    'o', 'd' ,'s', 'x', '*', ...
    'o', 'd', 's', 'x', '*'};
mp_support_graph('cl_colors') = {...
    'red', 'red', 'red', 'red', 'red'...
    'blue', 'blue', 'blue', 'blue', 'blue'};
mp_support_graph('cl_st_xtitle') = {'Age Groups'};
ff_graph_grid((tb_prob_amarrykids{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

1.5 Analyze Probability Mass Asset and Shock Dimensions

Where are the mass at?

% Define Graph Inputs
mp_support_graph = containers.Map('KeyType', 'char', 'ValueType', 'any');
mp_support_graph('st_legend_loc') = 'best';
mp_support_graph('bl_graph_logy') = false; % do not log

Asset and Shock Mass

% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [1,4,5,6,3,2];
% Value Function
tb_prob_az = ff_summ_nd_array("P(A,Z))", Phi_true, true, ["sum"], 4, 1, cl_mp_datasetdesc, ar_permute);

xxx  P(A,Z))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group     savings      sum_eta_1     sum_eta_2     sum_eta_3     sum_eta_4     sum_eta_5     sum_eta_6     sum_eta_7     sum_eta_8     sum_eta_9     sum_eta_10    sum_eta_11    sum_eta_12    sum_eta_13    sum_eta_14    sum_eta_15    sum_eta_16    sum_eta_17    sum_eta_18    sum_eta_19    sum_eta_20    sum_eta_21    sum_eta_22    sum_eta_23    sum_eta_24    sum_eta_25    sum_eta_26    sum_eta_27    sum_eta_28    sum_eta_29    sum_eta_30    sum_eta_31    sum_eta_32    sum_eta_33    sum_eta_34    sum_eta_35    sum_eta_36    sum_eta_37    sum_eta_38    sum_eta_39    sum_eta_40    sum_eta_41    sum_eta_42    sum_eta_43    sum_eta_44    sum_eta_45    sum_eta_46    sum_eta_47    sum_eta_48    sum_eta_49    sum_eta_50    sum_eta_51    sum_eta_52    sum_eta_53    sum_eta_54    sum_eta_55    sum_eta_56    sum_eta_57    sum_eta_58    sum_eta_59    sum_eta_60    sum_eta_61    sum_eta_62    sum_eta_63    sum_eta_64    sum_eta_65    sum_eta_66    sum_eta_67    sum_eta_68    sum_eta_69    sum_eta_70    sum_eta_71    sum_eta_72    sum_eta_73    sum_eta_74    sum_eta_75    sum_eta_76    sum_eta_77    sum_eta_78    sum_eta_79    sum_eta_80    sum_eta_81    sum_eta_82    sum_eta_83    sum_eta_84    sum_eta_85    sum_eta_86    sum_eta_87    sum_eta_88    sum_eta_89    sum_eta_90    sum_eta_91    sum_eta_92    sum_eta_93    sum_eta_94    sum_eta_95    sum_eta_96    sum_eta_97    sum_eta_98    sum_eta_99    sum_eta_100    sum_eta_101    sum_eta_102    sum_eta_103    sum_eta_104    sum_eta_105    sum_eta_106    sum_eta_107    sum_eta_108    sum_eta_109    sum_eta_110    sum_eta_111    sum_eta_112    sum_eta_113    sum_eta_114    sum_eta_115    sum_eta_116    sum_eta_117    sum_eta_118    sum_eta_119    sum_eta_120    sum_eta_121    sum_eta_122    sum_eta_123    sum_eta_124    sum_eta_125    sum_eta_126    sum_eta_127    sum_eta_128    sum_eta_129    sum_eta_130    sum_eta_131    sum_eta_132    sum_eta_133    sum_eta_134    sum_eta_135    sum_eta_136    sum_eta_137    sum_eta_138    sum_eta_139    sum_eta_140    sum_eta_141    sum_eta_142    sum_eta_143    sum_eta_144    sum_eta_145    sum_eta_146    sum_eta_147    sum_eta_148    sum_eta_149    sum_eta_150    sum_eta_151    sum_eta_152    sum_eta_153    sum_eta_154    sum_eta_155    sum_eta_156    sum_eta_157    sum_eta_158    sum_eta_159    sum_eta_160    sum_eta_161    sum_eta_162    sum_eta_163    sum_eta_164    sum_eta_165    sum_eta_166    sum_eta_167    sum_eta_168    sum_eta_169    sum_eta_170    sum_eta_171    sum_eta_172    sum_eta_173    sum_eta_174    sum_eta_175    sum_eta_176    sum_eta_177    sum_eta_178    sum_eta_179    sum_eta_180    sum_eta_181    sum_eta_182    sum_eta_183    sum_eta_184    sum_eta_185    sum_eta_186    sum_eta_187    sum_eta_188    sum_eta_189    sum_eta_190    sum_eta_191    sum_eta_192    sum_eta_193    sum_eta_194    sum_eta_195    sum_eta_196    sum_eta_197    sum_eta_198    sum_eta_199    sum_eta_200    sum_eta_201    sum_eta_202    sum_eta_203    sum_eta_204    sum_eta_205    sum_eta_206    sum_eta_207    sum_eta_208    sum_eta_209    sum_eta_210    sum_eta_211    sum_eta_212    sum_eta_213    sum_eta_214    sum_eta_215    sum_eta_216    sum_eta_217    sum_eta_218    sum_eta_219    sum_eta_220    sum_eta_221    sum_eta_222    sum_eta_223    sum_eta_224    sum_eta_225    sum_eta_226    sum_eta_227    sum_eta_228    sum_eta_229    sum_eta_230    sum_eta_231    sum_eta_232    sum_eta_233    sum_eta_234    sum_eta_235    sum_eta_236    sum_eta_237    sum_eta_238    sum_eta_239    sum_eta_240    sum_eta_241    sum_eta_242    sum_eta_243    sum_eta_244    sum_eta_245    sum_eta_246    sum_eta_247    sum_eta_248    sum_eta_249    sum_eta_250    sum_eta_251    sum_eta_252    sum_eta_253    sum_eta_254    sum_eta_255    sum_eta_256    sum_eta_257    sum_eta_258    sum_eta_259    sum_eta_260    sum_eta_261    sum_eta_262    sum_eta_263    sum_eta_264    sum_eta_265    sum_eta_266    sum_eta_267    sum_eta_268    sum_eta_269    sum_eta_270    sum_eta_271    sum_eta_272    sum_eta_273    sum_eta_274    sum_eta_275    sum_eta_276    sum_eta_277    sum_eta_278    sum_eta_279    sum_eta_280    sum_eta_281    sum_eta_282    sum_eta_283    sum_eta_284    sum_eta_285    sum_eta_286    sum_eta_287    sum_eta_288    sum_eta_289    sum_eta_290    sum_eta_291    sum_eta_292    sum_eta_293    sum_eta_294    sum_eta_295    sum_eta_296    sum_eta_297    sum_eta_298    sum_eta_299    sum_eta_300    sum_eta_301    sum_eta_302    sum_eta_303    sum_eta_304    sum_eta_305    sum_eta_306    sum_eta_307    sum_eta_308    sum_eta_309    sum_eta_310    sum_eta_311    sum_eta_312    sum_eta_313    sum_eta_314    sum_eta_315    sum_eta_316    sum_eta_317    sum_eta_318    sum_eta_319    sum_eta_320    sum_eta_321    sum_eta_322    sum_eta_323    sum_eta_324    sum_eta_325    sum_eta_326    sum_eta_327    sum_eta_328    sum_eta_329    sum_eta_330    sum_eta_331    sum_eta_332    sum_eta_333    sum_eta_334    sum_eta_335    sum_eta_336    sum_eta_337    sum_eta_338    sum_eta_339    sum_eta_340    sum_eta_341    sum_eta_342    sum_eta_343    sum_eta_344    sum_eta_345    sum_eta_346    sum_eta_347    sum_eta_348    sum_eta_349    sum_eta_350    sum_eta_351    sum_eta_352    sum_eta_353    sum_eta_354    sum_eta_355    sum_eta_356    sum_eta_357    sum_eta_358    sum_eta_359    sum_eta_360    sum_eta_361    sum_eta_362    sum_eta_363    sum_eta_364    sum_eta_365    sum_eta_366    sum_eta_367    sum_eta_368    sum_eta_369    sum_eta_370    sum_eta_371    sum_eta_372    sum_eta_373    sum_eta_374    sum_eta_375    sum_eta_376    sum_eta_377    sum_eta_378    sum_eta_379    sum_eta_380    sum_eta_381    sum_eta_382    sum_eta_383    sum_eta_384    sum_eta_385    sum_eta_386    sum_eta_387    sum_eta_388    sum_eta_389    sum_eta_390    sum_eta_391    sum_eta_392    sum_eta_393    sum_eta_394    sum_eta_395    sum_eta_396    sum_eta_397    sum_eta_398    sum_eta_399    sum_eta_400    sum_eta_401    sum_eta_402    sum_eta_403    sum_eta_404    sum_eta_405
    _____    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    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___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    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      1               0    1.6729e-07    1.4316e-07    2.1759e-07    3.1665e-07     4.509e-07    6.3359e-07    8.7976e-07    1.2066e-06    1.6343e-06    2.1865e-06    2.8906e-06    3.7767e-06    4.8743e-06    6.2071e-06    7.7877e-06     9.615e-06     1.168e-05     1.398e-05    1.6526e-05    1.9346e-05    2.2468e-05    2.5904e-05    2.9642e-05    3.3643e-05    3.7836e-05    4.2121e-05    4.6362e-05    5.0396e-05    5.4046e-05    5.7133e-05     5.949e-05    6.0989e-05    6.1568e-05    6.1248e-05    6.0128e-05    5.8352e-05    5.6063e-05    5.3373e-05    5.0362e-05    4.7093e-05    4.3634e-05     4.007e-05    3.6503e-05    3.3026e-05    2.9712e-05    2.6601e-05    2.3705e-05    2.1015e-05    1.8512e-05    1.6185e-05    1.4035e-05     1.207e-05    1.0294e-05    8.7022e-06     7.286e-06    6.0361e-06    4.9439e-06    4.0024e-06    3.2048e-06     2.543e-06    2.0042e-06    1.5714e-06    1.2256e-06    9.5009e-07    7.3124e-07    5.5861e-07    4.2377e-07    3.1953e-07    2.3963e-07    1.7876e-07    1.3258e-07    9.7686e-08     7.144e-08    5.1817e-08    3.7253e-08    2.6539e-08    1.8732e-08    1.3073e-08    8.9415e-09    5.8628e-09    6.8283e-09    2.9341e-06    2.5108e-06    3.8163e-06    5.5537e-06    7.9083e-06    1.1112e-05     1.543e-05    2.1162e-05    2.8663e-05    3.8348e-05    5.0697e-05    6.6238e-05    8.5489e-05    0.00010887    0.00013659    0.00016864    0.00020486    0.00024519    0.00028984      0.0003393     0.00039405     0.00045432     0.00051989     0.00059006     0.00066361     0.00073875     0.00081313     0.00088388     0.00094791       0.001002      0.0010434      0.0010697      0.0010798      0.0010742      0.0010546      0.0010234     0.00098328      0.0009361      0.0008833     0.00082596     0.00076529     0.00070279     0.00064021     0.00057923     0.00052111     0.00046655     0.00041576     0.00036858     0.00032467     0.00028386     0.00024616      0.0002117     0.00018054     0.00015263     0.00012779     0.00010587     8.6711e-05     7.0197e-05     5.6209e-05     4.4601e-05     3.5152e-05      2.756e-05     2.1496e-05     1.6663e-05     1.2825e-05     9.7973e-06     7.4324e-06     5.6042e-06     4.2029e-06     3.1352e-06     2.3253e-06     1.7133e-06      1.253e-06      9.088e-07     6.5337e-07     4.6547e-07     3.2853e-07     2.2928e-07     1.5682e-07     1.0283e-07     1.1976e-07     7.4822e-06     6.4027e-06     9.7319e-06     1.4162e-05     2.0167e-05     2.8338e-05     3.9348e-05     5.3966e-05     7.3093e-05      9.779e-05     0.00012928     0.00016891       0.000218     0.00027762     0.00034831     0.00043003     0.00052241     0.00062525     0.00073912     0.00086524      0.0010049      0.0011586      0.0013258      0.0015047      0.0016923      0.0018839      0.0020735       0.002254      0.0024172      0.0025553      0.0026607      0.0027278      0.0027537      0.0027394      0.0026893      0.0026098      0.0025074      0.0023871      0.0022525      0.0021063      0.0019515      0.0017922      0.0016326      0.0014771      0.0013289      0.0011897      0.0010602      0.0009399     0.00082795     0.00072386     0.00062772     0.00053985      0.0004604     0.00038921     0.00032587     0.00026997     0.00022112     0.00017901     0.00014334     0.00011374      8.964e-05      7.028e-05     5.4816e-05     4.2493e-05     3.2705e-05     2.4984e-05     1.8953e-05     1.4291e-05     1.0718e-05     7.9951e-06     5.9297e-06      4.369e-06     3.1952e-06     2.3175e-06     1.6661e-06      1.187e-06     8.3779e-07     5.8469e-07     3.9991e-07     2.6222e-07      3.054e-07     2.9341e-06     2.5108e-06     3.8163e-06     5.5537e-06     7.9083e-06     1.1112e-05      1.543e-05     2.1162e-05     2.8663e-05     3.8348e-05     5.0697e-05     6.6238e-05     8.5489e-05     0.00010887     0.00013659     0.00016864     0.00020486     0.00024519     0.00028984      0.0003393     0.00039405     0.00045432     0.00051989     0.00059006     0.00066361     0.00073875     0.00081313     0.00088388     0.00094791       0.001002      0.0010434      0.0010697      0.0010798      0.0010742      0.0010546      0.0010234     0.00098328      0.0009361      0.0008833     0.00082596     0.00076529     0.00070279     0.00064021     0.00057923     0.00052111     0.00046655     0.00041576     0.00036858     0.00032467     0.00028386     0.00024616      0.0002117     0.00018054     0.00015263     0.00012779     0.00010587     8.6711e-05     7.0197e-05     5.6209e-05     4.4601e-05     3.5152e-05      2.756e-05     2.1496e-05     1.6663e-05     1.2825e-05     9.7973e-06     7.4324e-06     5.6042e-06     4.2029e-06     3.1352e-06     2.3253e-06     1.7133e-06      1.253e-06      9.088e-07     6.5337e-07     4.6547e-07     3.2853e-07     2.2928e-07     1.5682e-07     1.0283e-07     1.1976e-07     1.6729e-07     1.4316e-07     2.1759e-07     3.1665e-07      4.509e-07     6.3359e-07     8.7976e-07     1.2066e-06     1.6343e-06     2.1865e-06     2.8906e-06     3.7767e-06     4.8743e-06     6.2071e-06     7.7877e-06      9.615e-06      1.168e-05      1.398e-05     1.6526e-05     1.9346e-05     2.2468e-05     2.5904e-05     2.9642e-05     3.3643e-05     3.7836e-05     4.2121e-05     4.6362e-05     5.0396e-05     5.4046e-05     5.7133e-05      5.949e-05     6.0989e-05     6.1568e-05     6.1248e-05     6.0128e-05     5.8352e-05     5.6063e-05     5.3373e-05     5.0362e-05     4.7093e-05     4.3634e-05      4.007e-05     3.6503e-05     3.3026e-05     2.9712e-05     2.6601e-05     2.3705e-05     2.1015e-05     1.8512e-05     1.6185e-05     1.4035e-05      1.207e-05     1.0294e-05     8.7022e-06      7.286e-06     6.0361e-06     4.9439e-06     4.0024e-06     3.2048e-06      2.543e-06     2.0042e-06     1.5714e-06     1.2256e-06     9.5009e-07     7.3124e-07     5.5861e-07     4.2377e-07     3.1953e-07     2.3963e-07     1.7876e-07     1.3258e-07     9.7686e-08      7.144e-08     5.1817e-08     3.7253e-08     2.6539e-08     1.8732e-08     1.3073e-08     8.9415e-09     5.8628e-09     6.8283e-09 
      2      0.00051498    3.7493e-10    3.6049e-10    6.2649e-10    1.1273e-09    2.1799e-09    4.4826e-09    9.3748e-09    1.9048e-08    3.6494e-08    6.5059e-08    1.0781e-07    1.6731e-07    2.4645e-07    3.4995e-07    4.8509e-07    6.5935e-07    8.7368e-07     1.115e-06    1.3561e-06    1.5687e-06      1.74e-06    1.8805e-06    2.0158e-06    2.1749e-06    2.3807e-06    2.6447e-06    2.9654e-06    3.3281e-06    3.7079e-06    4.0737e-06    4.3923e-06     4.627e-06    4.7369e-06     4.685e-06     4.459e-06    4.0866e-06    3.6285e-06    3.1529e-06     2.713e-06    2.3392e-06     2.039e-06    1.7973e-06    1.5843e-06    1.3735e-06    1.1565e-06    9.4124e-07    7.4138e-07    5.6616e-07    4.1904e-07    3.0134e-07    2.1438e-07    1.5722e-07    1.2399e-07    1.0519e-07    9.1707e-08    7.8232e-08    6.3757e-08    4.9628e-08    3.7124e-08    2.6599e-08    1.8104e-08    1.1812e-08    7.6411e-09    5.0155e-09    3.2591e-09    2.0008e-09    1.1399e-09    6.2094e-10    3.4399e-10    2.0327e-10    1.2791e-10    8.3103e-11    5.4479e-11    3.5792e-11    2.3571e-11    1.5551e-11    1.0254e-11    6.7318e-12    4.3622e-12    2.7346e-12    3.0288e-12    6.5758e-09    6.3225e-09    1.0988e-08    1.9772e-08    3.8234e-08     7.862e-08    1.6442e-07    3.3407e-07    6.4006e-07    1.1411e-06    1.8908e-06    2.9344e-06    4.3224e-06    6.1376e-06    8.5079e-06    1.1564e-05    1.5323e-05    1.9555e-05    2.3784e-05     2.7513e-05     3.0518e-05     3.2981e-05     3.5355e-05     3.8146e-05     4.1754e-05     4.6384e-05     5.2009e-05     5.8371e-05     6.5032e-05     7.1448e-05     7.7035e-05     8.1153e-05      8.308e-05     8.2169e-05     7.8205e-05     7.1675e-05      6.364e-05     5.5298e-05     4.7582e-05     4.1027e-05     3.5762e-05     3.1522e-05     2.7786e-05      2.409e-05     2.0283e-05     1.6508e-05     1.3003e-05     9.9297e-06     7.3495e-06     5.2852e-06     3.7601e-06     2.7574e-06     2.1747e-06     1.8449e-06     1.6084e-06     1.3721e-06     1.1182e-06     8.7042e-07     6.5112e-07     4.6652e-07     3.1752e-07     2.0717e-07     1.3402e-07     8.7966e-08     5.7161e-08     3.5092e-08     1.9992e-08     1.0891e-08     6.0332e-09     3.5651e-09     2.2433e-09     1.4575e-09      9.555e-10     6.2775e-10      4.134e-10     2.7275e-10     1.7985e-10     1.1807e-10     7.6507e-11     4.7961e-11     5.3121e-11     1.6769e-08     1.6123e-08      2.802e-08     5.0421e-08     9.7499e-08     2.0049e-07     4.1929e-07     8.5191e-07     1.6322e-06     2.9098e-06     4.8217e-06     7.4829e-06     1.1023e-05     1.5652e-05     2.1696e-05      2.949e-05     3.9076e-05     4.9867e-05     6.0652e-05     7.0159e-05     7.7824e-05     8.4105e-05     9.0157e-05     9.7275e-05     0.00010648     0.00011828     0.00013263     0.00014885     0.00016584      0.0001822     0.00019645     0.00020695     0.00021186     0.00020954     0.00019943     0.00018278     0.00016229     0.00014102     0.00012134     0.00010462     9.1197e-05     8.0385e-05     7.0856e-05     6.1432e-05     5.1724e-05     4.2097e-05     3.3158e-05     2.5322e-05     1.8742e-05     1.3478e-05     9.5884e-06     7.0316e-06     5.5456e-06     4.7046e-06     4.1016e-06      3.499e-06     2.8516e-06     2.2196e-06     1.6604e-06     1.1897e-06      8.097e-07     5.2831e-07     3.4175e-07     2.2432e-07     1.4576e-07     8.9487e-08     5.0982e-08     2.7772e-08     1.5385e-08     9.0913e-09     5.7206e-09     3.7168e-09     2.4366e-09     1.6008e-09     1.0542e-09     6.9553e-10     4.5863e-10     3.0108e-10      1.951e-10      1.223e-10     1.3546e-10     6.5758e-09     6.3225e-09     1.0988e-08     1.9772e-08     3.8234e-08      7.862e-08     1.6442e-07     3.3407e-07     6.4006e-07     1.1411e-06     1.8908e-06     2.9344e-06     4.3224e-06     6.1376e-06     8.5079e-06     1.1564e-05     1.5323e-05     1.9555e-05     2.3784e-05     2.7513e-05     3.0518e-05     3.2981e-05     3.5355e-05     3.8146e-05     4.1754e-05     4.6384e-05     5.2009e-05     5.8371e-05     6.5032e-05     7.1448e-05     7.7035e-05     8.1153e-05      8.308e-05     8.2169e-05     7.8205e-05     7.1675e-05      6.364e-05     5.5298e-05     4.7582e-05     4.1027e-05     3.5762e-05     3.1522e-05     2.7786e-05      2.409e-05     2.0283e-05     1.6508e-05     1.3003e-05     9.9297e-06     7.3495e-06     5.2852e-06     3.7601e-06     2.7574e-06     2.1747e-06     1.8449e-06     1.6084e-06     1.3721e-06     1.1182e-06     8.7042e-07     6.5112e-07     4.6652e-07     3.1752e-07     2.0717e-07     1.3402e-07     8.7966e-08     5.7161e-08     3.5092e-08     1.9992e-08     1.0891e-08     6.0332e-09     3.5651e-09     2.2433e-09     1.4575e-09      9.555e-10     6.2775e-10      4.134e-10     2.7275e-10     1.7985e-10     1.1807e-10     7.6507e-11     4.7961e-11     5.3121e-11     3.7493e-10     3.6049e-10     6.2649e-10     1.1273e-09     2.1799e-09     4.4826e-09     9.3748e-09     1.9048e-08     3.6494e-08     6.5059e-08     1.0781e-07     1.6731e-07     2.4645e-07     3.4995e-07     4.8509e-07     6.5935e-07     8.7368e-07      1.115e-06     1.3561e-06     1.5687e-06       1.74e-06     1.8805e-06     2.0158e-06     2.1749e-06     2.3807e-06     2.6447e-06     2.9654e-06     3.3281e-06     3.7079e-06     4.0737e-06     4.3923e-06      4.627e-06     4.7369e-06      4.685e-06      4.459e-06     4.0866e-06     3.6285e-06     3.1529e-06      2.713e-06     2.3392e-06      2.039e-06     1.7973e-06     1.5843e-06     1.3735e-06     1.1565e-06     9.4124e-07     7.4138e-07     5.6616e-07     4.1904e-07     3.0134e-07     2.1438e-07     1.5722e-07     1.2399e-07     1.0519e-07     9.1707e-08     7.8232e-08     6.3757e-08     4.9628e-08     3.7124e-08     2.6599e-08     1.8104e-08     1.1812e-08     7.6411e-09     5.0155e-09     3.2591e-09     2.0008e-09     1.1399e-09     6.2094e-10     3.4399e-10     2.0327e-10     1.2791e-10     8.3103e-11     5.4479e-11     3.5792e-11     2.3571e-11     1.5551e-11     1.0254e-11     6.7318e-12     4.3622e-12     2.7346e-12     3.0288e-12 
      3       0.0041199    7.5745e-10    6.6694e-10    1.0474e-09    1.5976e-09    2.4182e-09    3.6548e-09    5.5115e-09    8.2833e-09    1.2419e-08    1.8637e-08    2.8149e-08    4.3077e-08    6.7207e-08     1.072e-07    1.7409e-07    2.8413e-07    4.5726e-07    7.1177e-07     1.057e-06    1.4894e-06    1.9971e-06    2.5696e-06    3.2026e-06    3.8959e-06    4.6474e-06    5.4501e-06    6.2904e-06     7.144e-06    7.9727e-06    8.7274e-06    9.3568e-06    9.8177e-06     1.008e-05     1.013e-05    9.9647e-06    9.5959e-06    9.0576e-06    8.4083e-06    7.7169e-06    7.0379e-06    6.3978e-06    5.8003e-06    5.2367e-06    4.6928e-06    4.1531e-06    3.6078e-06    3.0619e-06    2.5361e-06    2.0551e-06    1.6326e-06    1.2685e-06    9.5874e-07    7.0308e-07    5.0363e-07    3.5776e-07    2.5605e-07    1.8597e-07    1.3625e-07    9.8938e-08    6.9768e-08    4.7233e-08    3.0824e-08     1.968e-08    1.2465e-08    7.8837e-09    4.9836e-09     3.138e-09    1.9499e-09    1.1827e-09    6.9912e-10    4.0808e-10    2.3995e-10    1.4409e-10    8.8682e-11    5.5791e-11     3.567e-11    2.3005e-11    1.4851e-11     9.493e-12    5.8851e-12    6.4374e-12    1.3285e-08    1.1697e-08    1.8371e-08    2.8021e-08    4.2412e-08    6.4101e-08    9.6665e-08    1.4528e-07    2.1781e-07    3.2687e-07     4.937e-07    7.5552e-07    1.1787e-06    1.8802e-06    3.0533e-06    4.9833e-06    8.0198e-06    1.2484e-05    1.8538e-05     2.6122e-05     3.5027e-05     4.5067e-05      5.617e-05      6.833e-05      8.151e-05     9.5588e-05     0.00011033      0.0001253     0.00013983     0.00015307     0.00016411     0.00017219      0.0001768     0.00017767     0.00017477      0.0001683     0.00015886     0.00014747     0.00013535     0.00012344     0.00011221     0.00010173     9.1845e-05     8.2306e-05      7.284e-05     6.3276e-05     5.3702e-05      4.448e-05     3.6044e-05     2.8634e-05     2.2249e-05     1.6815e-05     1.2331e-05     8.8331e-06     6.2747e-06     4.4908e-06     3.2617e-06     2.3896e-06     1.7353e-06     1.2236e-06      8.284e-07     5.4062e-07     3.4516e-07     2.1862e-07     1.3827e-07     8.7407e-08     5.5037e-08       3.42e-08     2.0744e-08     1.2262e-08     7.1573e-09     4.2084e-09     2.5272e-09     1.5554e-09     9.7851e-10      6.256e-10     4.0349e-10     2.6048e-10      1.665e-10     1.0322e-10      1.129e-10     3.3877e-08     2.9829e-08     4.6847e-08     7.1455e-08     1.0815e-07     1.6346e-07      2.465e-07     3.7047e-07     5.5543e-07     8.3353e-07      1.259e-06     1.9266e-06     3.0059e-06     4.7946e-06     7.7861e-06     1.2708e-05     2.0451e-05     3.1834e-05     4.7273e-05     6.6612e-05     8.9323e-05     0.00011493     0.00014324     0.00017425     0.00020786     0.00024376     0.00028134     0.00031952     0.00035658     0.00039034     0.00041849      0.0004391     0.00045085     0.00045308     0.00044568     0.00042918      0.0004051     0.00037606     0.00034514     0.00031477     0.00028614     0.00025942     0.00023421     0.00020989     0.00018575     0.00016136     0.00013694     0.00011343     9.1914e-05     7.3018e-05     5.6736e-05      4.288e-05     3.1446e-05     2.2525e-05     1.6001e-05     1.1452e-05     8.3177e-06     6.0938e-06      4.425e-06     3.1204e-06     2.1125e-06     1.3786e-06      8.802e-07      5.575e-07      3.526e-07     2.2289e-07     1.4035e-07     8.7212e-08     5.2898e-08     3.1269e-08     1.8252e-08     1.0732e-08     6.4445e-09     3.9664e-09     2.4953e-09     1.5953e-09     1.0289e-09     6.6424e-10     4.2458e-10     2.6322e-10     2.8791e-10     1.3285e-08     1.1697e-08     1.8371e-08     2.8021e-08     4.2412e-08     6.4101e-08     9.6665e-08     1.4528e-07     2.1781e-07     3.2687e-07      4.937e-07     7.5552e-07     1.1787e-06     1.8802e-06     3.0533e-06     4.9833e-06     8.0198e-06     1.2484e-05     1.8538e-05     2.6122e-05     3.5027e-05     4.5067e-05      5.617e-05      6.833e-05      8.151e-05     9.5588e-05     0.00011033      0.0001253     0.00013983     0.00015307     0.00016411     0.00017219      0.0001768     0.00017767     0.00017477      0.0001683     0.00015886     0.00014747     0.00013535     0.00012344     0.00011221     0.00010173     9.1845e-05     8.2306e-05      7.284e-05     6.3276e-05     5.3702e-05      4.448e-05     3.6044e-05     2.8634e-05     2.2249e-05     1.6815e-05     1.2331e-05     8.8331e-06     6.2747e-06     4.4908e-06     3.2617e-06     2.3896e-06     1.7353e-06     1.2236e-06      8.284e-07     5.4062e-07     3.4516e-07     2.1862e-07     1.3827e-07     8.7407e-08     5.5037e-08       3.42e-08     2.0744e-08     1.2262e-08     7.1573e-09     4.2084e-09     2.5272e-09     1.5554e-09     9.7851e-10      6.256e-10     4.0349e-10     2.6048e-10      1.665e-10     1.0322e-10      1.129e-10     7.5745e-10     6.6694e-10     1.0474e-09     1.5976e-09     2.4182e-09     3.6548e-09     5.5115e-09     8.2833e-09     1.2419e-08     1.8637e-08     2.8149e-08     4.3077e-08     6.7207e-08      1.072e-07     1.7409e-07     2.8413e-07     4.5726e-07     7.1177e-07      1.057e-06     1.4894e-06     1.9971e-06     2.5696e-06     3.2026e-06     3.8959e-06     4.6474e-06     5.4501e-06     6.2904e-06      7.144e-06     7.9727e-06     8.7274e-06     9.3568e-06     9.8177e-06      1.008e-05      1.013e-05     9.9647e-06     9.5959e-06     9.0576e-06     8.4083e-06     7.7169e-06     7.0379e-06     6.3978e-06     5.8003e-06     5.2367e-06     4.6928e-06     4.1531e-06     3.6078e-06     3.0619e-06     2.5361e-06     2.0551e-06     1.6326e-06     1.2685e-06     9.5874e-07     7.0308e-07     5.0363e-07     3.5776e-07     2.5605e-07     1.8597e-07     1.3625e-07     9.8938e-08     6.9768e-08     4.7233e-08     3.0824e-08      1.968e-08     1.2465e-08     7.8837e-09     4.9836e-09      3.138e-09     1.9499e-09     1.1827e-09     6.9912e-10     4.0808e-10     2.3995e-10     1.4409e-10     8.8682e-11     5.5791e-11      3.567e-11     2.3005e-11     1.4851e-11      9.493e-12     5.8851e-12     6.4374e-12 
      4        0.013905    1.6314e-09    1.4169e-09    2.1927e-09    3.2778e-09    4.8429e-09    7.1372e-09    1.0514e-08    1.5485e-08    2.2793e-08    3.3519e-08    4.9243e-08    7.2316e-08    1.0626e-07    1.5628e-07    2.2967e-07    3.3593e-07    4.8594e-07     6.897e-07    9.5228e-07    1.2694e-06    1.6258e-06    2.0002e-06    2.3758e-06    2.7517e-06     3.147e-06    3.5995e-06    4.1634e-06    4.9062e-06    5.9019e-06    7.2135e-06    8.8674e-06    1.0826e-05    1.2963e-05    1.5059e-05    1.6827e-05    1.7981e-05    1.8331e-05    1.7853e-05    1.6695e-05    1.5111e-05    1.3357e-05    1.1617e-05    9.9841e-06    8.4916e-06    7.1519e-06    5.9701e-06    4.9427e-06     4.057e-06    3.2959e-06    2.6431e-06    2.0853e-06    1.6138e-06    1.2237e-06    9.1131e-07    6.7053e-07    4.9169e-07    3.6218e-07    2.6848e-07    1.9869e-07     1.445e-07    1.0171e-07    6.9021e-08     4.583e-08    3.0594e-08    2.0808e-08    1.4116e-08    9.1793e-09    5.5732e-09    3.1633e-09    1.7225e-09    9.3545e-10    5.2565e-10    3.1171e-10    1.9456e-10    1.2572e-10    8.2622e-11    5.4566e-11    3.5933e-11    2.3362e-11    1.4689e-11    1.6326e-11    2.8613e-08    2.4851e-08    3.8458e-08    5.7489e-08    8.4939e-08    1.2518e-07    1.8441e-07    2.7159e-07    3.9976e-07    5.8788e-07    8.6367e-07    1.2683e-06    1.8637e-06     2.741e-06    4.0282e-06    5.8919e-06    8.5229e-06    1.2097e-05    1.6702e-05     2.2264e-05     2.8515e-05     3.5081e-05     4.1669e-05     4.8262e-05     5.5194e-05     6.3131e-05     7.3021e-05     8.6048e-05     0.00010351     0.00012652     0.00015552     0.00018987     0.00022736     0.00026413     0.00029513     0.00031537      0.0003215     0.00031312     0.00029282     0.00026503     0.00023427     0.00020375     0.00017511     0.00014893     0.00012544     0.00010471     8.6689e-05     7.1154e-05     5.7807e-05     4.6357e-05     3.6574e-05     2.8304e-05     2.1462e-05     1.5983e-05      1.176e-05     8.6236e-06     6.3522e-06     4.7089e-06     3.4848e-06     2.5343e-06     1.7838e-06     1.2105e-06     8.0381e-07     5.3658e-07     3.6494e-07     2.4757e-07     1.6099e-07     9.7747e-08     5.5481e-08      3.021e-08     1.6407e-08     9.2193e-09     5.4671e-09     3.4124e-09     2.2049e-09     1.4491e-09     9.5702e-10     6.3022e-10     4.0973e-10     2.5762e-10     2.8634e-10     7.2966e-08     6.3371e-08      9.807e-08      1.466e-07      2.166e-07     3.1922e-07     4.7025e-07     6.9257e-07     1.0194e-06     1.4992e-06     2.2024e-06     3.2344e-06     4.7526e-06     6.9897e-06     1.0272e-05     1.5025e-05     2.1734e-05     3.0847e-05     4.2591e-05     5.6775e-05     7.2716e-05      8.946e-05     0.00010626     0.00012307     0.00014075     0.00016099     0.00018621     0.00021943     0.00026397     0.00032263      0.0003966     0.00048418     0.00057978     0.00067354     0.00075261     0.00080421     0.00081986     0.00079849     0.00074671     0.00067585     0.00059741     0.00051959     0.00044654     0.00037979     0.00031987     0.00026702     0.00022106     0.00018145     0.00014741     0.00011822     9.3267e-05     7.2177e-05     5.4731e-05     4.0759e-05      2.999e-05     2.1991e-05     1.6199e-05     1.2008e-05     8.8865e-06     6.4627e-06     4.5489e-06      3.087e-06     2.0498e-06     1.3683e-06     9.3064e-07     6.3133e-07     4.1055e-07     2.4926e-07     1.4148e-07     7.7038e-08     4.1838e-08      2.351e-08     1.3942e-08     8.7018e-09     5.6227e-09     3.6953e-09     2.4405e-09     1.6071e-09     1.0449e-09     6.5695e-10     7.3019e-10     2.8613e-08     2.4851e-08     3.8458e-08     5.7489e-08     8.4939e-08     1.2518e-07     1.8441e-07     2.7159e-07     3.9976e-07     5.8788e-07     8.6367e-07     1.2683e-06     1.8637e-06      2.741e-06     4.0282e-06     5.8919e-06     8.5229e-06     1.2097e-05     1.6702e-05     2.2264e-05     2.8515e-05     3.5081e-05     4.1669e-05     4.8262e-05     5.5194e-05     6.3131e-05     7.3021e-05     8.6048e-05     0.00010351     0.00012652     0.00015552     0.00018987     0.00022736     0.00026413     0.00029513     0.00031537      0.0003215     0.00031312     0.00029282     0.00026503     0.00023427     0.00020375     0.00017511     0.00014893     0.00012544     0.00010471     8.6689e-05     7.1154e-05     5.7807e-05     4.6357e-05     3.6574e-05     2.8304e-05     2.1462e-05     1.5983e-05      1.176e-05     8.6236e-06     6.3522e-06     4.7089e-06     3.4848e-06     2.5343e-06     1.7838e-06     1.2105e-06     8.0381e-07     5.3658e-07     3.6494e-07     2.4757e-07     1.6099e-07     9.7747e-08     5.5481e-08      3.021e-08     1.6407e-08     9.2193e-09     5.4671e-09     3.4124e-09     2.2049e-09     1.4491e-09     9.5702e-10     6.3022e-10     4.0973e-10     2.5762e-10     2.8634e-10     1.6314e-09     1.4169e-09     2.1927e-09     3.2778e-09     4.8429e-09     7.1372e-09     1.0514e-08     1.5485e-08     2.2793e-08     3.3519e-08     4.9243e-08     7.2316e-08     1.0626e-07     1.5628e-07     2.2967e-07     3.3593e-07     4.8594e-07      6.897e-07     9.5228e-07     1.2694e-06     1.6258e-06     2.0002e-06     2.3758e-06     2.7517e-06      3.147e-06     3.5995e-06     4.1634e-06     4.9062e-06     5.9019e-06     7.2135e-06     8.8674e-06     1.0826e-05     1.2963e-05     1.5059e-05     1.6827e-05     1.7981e-05     1.8331e-05     1.7853e-05     1.6695e-05     1.5111e-05     1.3357e-05     1.1617e-05     9.9841e-06     8.4916e-06     7.1519e-06     5.9701e-06     4.9427e-06      4.057e-06     3.2959e-06     2.6431e-06     2.0853e-06     1.6138e-06     1.2237e-06     9.1131e-07     6.7053e-07     4.9169e-07     3.6218e-07     2.6848e-07     1.9869e-07      1.445e-07     1.0171e-07     6.9021e-08      4.583e-08     3.0594e-08     2.0808e-08     1.4116e-08     9.1793e-09     5.5732e-09     3.1633e-09     1.7225e-09     9.3545e-10     5.2565e-10     3.1171e-10     1.9456e-10     1.2572e-10     8.2622e-11     5.4566e-11     3.5933e-11     2.3362e-11     1.4689e-11     1.6326e-11 
      5        0.032959    5.5034e-09    4.7405e-09     7.269e-09    1.0722e-08    1.5557e-08    2.2396e-08    3.2041e-08    4.5558e-08    6.4386e-08    9.0477e-08    1.2645e-07    1.7578e-07    2.4302e-07    3.3415e-07     4.569e-07    6.2098e-07    8.3787e-07    1.1195e-06    1.4758e-06    1.9117e-06    2.4237e-06    2.9992e-06    3.6196e-06    4.2669e-06    4.9315e-06    5.6149e-06    6.3263e-06    7.0771e-06    7.8775e-06    8.7378e-06    9.6727e-06    1.0705e-05    1.1869e-05    1.3194e-05    1.4687e-05    1.6292e-05    1.7868e-05    1.9195e-05     2.003e-05    2.0193e-05    1.9644e-05    1.8502e-05    1.6986e-05     1.532e-05     1.365e-05    1.2031e-05    1.0456e-05    8.9092e-06    7.4025e-06    5.9786e-06    4.6938e-06    3.5915e-06    2.6876e-06    1.9724e-06    1.4227e-06    1.0112e-06    7.1118e-07    4.9749e-07    3.4757e-07    2.4223e-07    1.6694e-07    1.1247e-07    7.3748e-08    4.7577e-08    3.0904e-08    2.0505e-08    1.3665e-08    8.7953e-09    5.3032e-09    2.9902e-09    1.6209e-09    8.8267e-10    5.0132e-10    3.0104e-10    1.8943e-10    1.2273e-10    8.0612e-11    5.3072e-11     3.458e-11    2.1803e-11    2.4323e-11    9.6523e-08    8.3142e-08    1.2749e-07    1.8806e-07    2.7286e-07    3.9279e-07    5.6196e-07    7.9903e-07    1.1293e-06    1.5869e-06    2.2178e-06    3.0829e-06    4.2623e-06    5.8606e-06    8.0134e-06    1.0891e-05    1.4695e-05    1.9634e-05    2.5884e-05     3.3529e-05     4.2509e-05     5.2603e-05     6.3483e-05     7.4836e-05     8.6493e-05     9.8479e-05     0.00011096     0.00012412     0.00013816     0.00015325     0.00016965     0.00018776     0.00020817     0.00023141     0.00025759     0.00028574     0.00031339     0.00033666      0.0003513     0.00035415     0.00034453      0.0003245     0.00029792     0.00026869      0.0002394       0.000211     0.00018338     0.00015626     0.00012983     0.00010486     8.2323e-05     6.2991e-05     4.7137e-05     3.4593e-05     2.4952e-05     1.7736e-05     1.2473e-05     8.7254e-06      6.096e-06     4.2484e-06     2.9279e-06     1.9726e-06     1.2935e-06     8.3444e-07     5.4202e-07     3.5963e-07     2.3967e-07     1.5426e-07     9.3012e-08     5.2445e-08      2.843e-08     1.5481e-08     8.7926e-09     5.2799e-09     3.3224e-09     2.1525e-09     1.4138e-09     9.3083e-10     6.0649e-10     3.8239e-10     4.2659e-10     2.4614e-07     2.1202e-07     3.2511e-07     4.7956e-07      6.958e-07     1.0017e-06      1.433e-06     2.0376e-06     2.8797e-06     4.0466e-06     5.6555e-06     7.8618e-06     1.0869e-05     1.4945e-05     2.0435e-05     2.7774e-05     3.7474e-05     5.0069e-05     6.6007e-05     8.5502e-05      0.0001084     0.00013414     0.00016189     0.00019084     0.00022057     0.00025113     0.00028295     0.00031652     0.00035232      0.0003908     0.00043261     0.00047881     0.00053084     0.00059011     0.00065687     0.00072867     0.00079916     0.00085851     0.00089584     0.00090312     0.00087857     0.00082749     0.00075971     0.00068518      0.0006105     0.00053808     0.00046763     0.00039847     0.00033108      0.0002674     0.00020993     0.00016063      0.0001202     8.8216e-05      6.363e-05     4.5228e-05     3.1808e-05      2.225e-05     1.5545e-05     1.0834e-05     7.4663e-06     5.0303e-06     3.2984e-06     2.1279e-06     1.3822e-06     9.1709e-07     6.1118e-07     3.9337e-07     2.3719e-07     1.3374e-07     7.2498e-08     3.9478e-08     2.2422e-08     1.3464e-08     8.4725e-09     5.4891e-09     3.6054e-09     2.3737e-09     1.5466e-09     9.7514e-10     1.0879e-09     9.6523e-08     8.3142e-08     1.2749e-07     1.8806e-07     2.7286e-07     3.9279e-07     5.6196e-07     7.9903e-07     1.1293e-06     1.5869e-06     2.2178e-06     3.0829e-06     4.2623e-06     5.8606e-06     8.0134e-06     1.0891e-05     1.4695e-05     1.9634e-05     2.5884e-05     3.3529e-05     4.2509e-05     5.2603e-05     6.3483e-05     7.4836e-05     8.6493e-05     9.8479e-05     0.00011096     0.00012412     0.00013816     0.00015325     0.00016965     0.00018776     0.00020817     0.00023141     0.00025759     0.00028574     0.00031339     0.00033666      0.0003513     0.00035415     0.00034453      0.0003245     0.00029792     0.00026869      0.0002394       0.000211     0.00018338     0.00015626     0.00012983     0.00010486     8.2323e-05     6.2991e-05     4.7137e-05     3.4593e-05     2.4952e-05     1.7736e-05     1.2473e-05     8.7254e-06      6.096e-06     4.2484e-06     2.9279e-06     1.9726e-06     1.2935e-06     8.3444e-07     5.4202e-07     3.5963e-07     2.3967e-07     1.5426e-07     9.3012e-08     5.2445e-08      2.843e-08     1.5481e-08     8.7926e-09     5.2799e-09     3.3224e-09     2.1525e-09     1.4138e-09     9.3083e-10     6.0649e-10     3.8239e-10     4.2659e-10     5.5034e-09     4.7405e-09      7.269e-09     1.0722e-08     1.5557e-08     2.2396e-08     3.2041e-08     4.5558e-08     6.4386e-08     9.0477e-08     1.2645e-07     1.7578e-07     2.4302e-07     3.3415e-07      4.569e-07     6.2098e-07     8.3787e-07     1.1195e-06     1.4758e-06     1.9117e-06     2.4237e-06     2.9992e-06     3.6196e-06     4.2669e-06     4.9315e-06     5.6149e-06     6.3263e-06     7.0771e-06     7.8775e-06     8.7378e-06     9.6727e-06     1.0705e-05     1.1869e-05     1.3194e-05     1.4687e-05     1.6292e-05     1.7868e-05     1.9195e-05      2.003e-05     2.0193e-05     1.9644e-05     1.8502e-05     1.6986e-05      1.532e-05      1.365e-05     1.2031e-05     1.0456e-05     8.9092e-06     7.4025e-06     5.9786e-06     4.6938e-06     3.5915e-06     2.6876e-06     1.9724e-06     1.4227e-06     1.0112e-06     7.1118e-07     4.9749e-07     3.4757e-07     2.4223e-07     1.6694e-07     1.1247e-07     7.3748e-08     4.7577e-08     3.0904e-08     2.0505e-08     1.3665e-08     8.7953e-09     5.3032e-09     2.9902e-09     1.6209e-09     8.8267e-10     5.0132e-10     3.0104e-10     1.8943e-10     1.2273e-10     8.0612e-11     5.3072e-11      3.458e-11     2.1803e-11     2.4323e-11 
      6        0.064373    6.5761e-09    5.6858e-09     8.729e-09    1.2871e-08    1.8634e-08    2.6723e-08    3.8033e-08    5.3716e-08     7.528e-08    1.0469e-07    1.4449e-07      1.98e-07    2.6947e-07    3.6436e-07    4.8952e-07     6.533e-07     8.654e-07    1.1364e-06    1.4766e-06    1.8937e-06    2.3898e-06    2.9592e-06    3.5873e-06    4.2539e-06    4.9384e-06    5.6262e-06    6.3113e-06     6.996e-06    7.6861e-06    8.3872e-06    9.1029e-06    9.8348e-06    1.0585e-05    1.1356e-05    1.2152e-05    1.2975e-05    1.3809e-05    1.4614e-05    1.5314e-05    1.5804e-05    1.5973e-05    1.5735e-05    1.5058e-05    1.3987e-05    1.2633e-05    1.1156e-05    9.7261e-06    8.4745e-06    7.4523e-06      6.62e-06    5.8817e-06    5.1432e-06     4.359e-06    3.5461e-06    2.7625e-06    2.0698e-06    1.5036e-06    1.0669e-06    7.4186e-07     5.051e-07    3.3602e-07    2.1805e-07    1.3801e-07    8.5499e-08    5.2431e-08    3.2404e-08    2.0428e-08    1.2987e-08    8.0575e-09    4.7319e-09    2.6151e-09    1.3956e-09    7.5387e-10    4.2952e-10    2.6089e-10    1.6619e-10    1.0853e-10    7.1391e-11    4.6549e-11     2.938e-11    3.2822e-11    1.1534e-07    9.9722e-08     1.531e-07    2.2574e-07    3.2683e-07     4.687e-07    6.6705e-07    9.4211e-07    1.3203e-06    1.8361e-06    2.5343e-06    3.4726e-06    4.7261e-06    6.3904e-06    8.5856e-06    1.1458e-05    1.5178e-05    1.9932e-05    2.5898e-05     3.3213e-05     4.1915e-05     5.1901e-05     6.2917e-05     7.4608e-05     8.6615e-05     9.8676e-05     0.00011069      0.0001227      0.0001348      0.0001471     0.00015965     0.00017249     0.00018564     0.00019916     0.00021313     0.00022756     0.00024219     0.00025631     0.00026858     0.00027718     0.00028014     0.00027597     0.00026411     0.00024532     0.00022157     0.00019567     0.00017058     0.00014863      0.0001307     0.00011611     0.00010316     9.0205e-05     7.6451e-05     6.2195e-05     4.8452e-05     3.6302e-05     2.6372e-05     1.8712e-05     1.3011e-05     8.8589e-06     5.8934e-06     3.8244e-06     2.4205e-06     1.4996e-06     9.1958e-07     5.6833e-07     3.5828e-07     2.2778e-07     1.4132e-07     8.2991e-08     4.5866e-08     2.4478e-08     1.3222e-08     7.5333e-09     4.5758e-09     2.9149e-09     1.9036e-09     1.2521e-09     8.1641e-10     5.1529e-10     5.7566e-10     2.9412e-07      2.543e-07     3.9041e-07     5.7567e-07     8.3343e-07     1.1952e-06      1.701e-06     2.4025e-06     3.3669e-06     4.6823e-06     6.4626e-06     8.8555e-06     1.2052e-05     1.6296e-05     2.1894e-05     2.9219e-05     3.8705e-05     5.0827e-05     6.6042e-05     8.4696e-05     0.00010689     0.00013235     0.00016044     0.00019026     0.00022087     0.00025163     0.00028228      0.0003129     0.00034376     0.00037512     0.00040713     0.00043987      0.0004734     0.00050788     0.00054351     0.00058029     0.00061761     0.00065361     0.00068491     0.00070683     0.00071439     0.00070374      0.0006735     0.00062558     0.00056502     0.00049896       0.000435     0.00037903     0.00033331     0.00029608     0.00026306     0.00023003     0.00019496      0.0001586     0.00012356     9.2574e-05      6.725e-05     4.7718e-05      3.318e-05     2.2591e-05     1.5029e-05     9.7526e-06     6.1725e-06      3.824e-06      2.345e-06     1.4493e-06     9.1364e-07     5.8086e-07     3.6037e-07     2.1163e-07     1.1696e-07      6.242e-08     3.3717e-08      1.921e-08     1.1669e-08     7.4331e-09     4.8542e-09      3.193e-09     2.0819e-09      1.314e-09      1.468e-09     1.1534e-07     9.9722e-08      1.531e-07     2.2574e-07     3.2683e-07      4.687e-07     6.6705e-07     9.4211e-07     1.3203e-06     1.8361e-06     2.5343e-06     3.4726e-06     4.7261e-06     6.3904e-06     8.5856e-06     1.1458e-05     1.5178e-05     1.9932e-05     2.5898e-05     3.3213e-05     4.1915e-05     5.1901e-05     6.2917e-05     7.4608e-05     8.6615e-05     9.8676e-05     0.00011069      0.0001227      0.0001348      0.0001471     0.00015965     0.00017249     0.00018564     0.00019916     0.00021313     0.00022756     0.0002...

mp_support_graph('cl_st_graph_title') = {'Pstationary(A,Z), asset=x, shock=color'};
mp_support_graph('cl_st_ytitle') = {'Conditional Aggregate Mass'};
mp_support_graph('cl_st_xtitle') = {'A (savings)'};
mp_support_graph('st_rowvar_name') = 'z=';
mp_support_graph('it_legend_select') = 5; 
mp_support_graph('st_rounding') = '6.2f';
mp_support_graph('bl_graph_logy') = true;
mp_support_graph('cl_colors') = 'copper';
ff_graph_grid((tb_prob_az{1:end, 3:end})', ar_st_eta_HS_grid, agrid, mp_support_graph);% Consumption Choices

Asset Mass by Age

% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [3,4,5,6,1,2];
% Value Function
tb_prob_aage = ff_summ_nd_array("P(A,Z))", Phi_true, true, ["sum"], 4, 1, cl_mp_datasetdesc, ar_permute);

xxx  P(A,Z))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group     savings      sum_age_18    sum_age_19    sum_age_20    sum_age_21    sum_age_22    sum_age_23    sum_age_24    sum_age_25    sum_age_26    sum_age_27    sum_age_28    sum_age_29    sum_age_30    sum_age_31    sum_age_32    sum_age_33    sum_age_34    sum_age_35    sum_age_36    sum_age_37    sum_age_38    sum_age_39    sum_age_40    sum_age_41    sum_age_42    sum_age_43    sum_age_44    sum_age_45    sum_age_46    sum_age_47    sum_age_48    sum_age_49    sum_age_50    sum_age_51    sum_age_52    sum_age_53    sum_age_54    sum_age_55    sum_age_56    sum_age_57    sum_age_58    sum_age_59    sum_age_60    sum_age_61    sum_age_62    sum_age_63    sum_age_64    sum_age_65    sum_age_66    sum_age_67    sum_age_68    sum_age_69    sum_age_70    sum_age_71    sum_age_72    sum_age_73    sum_age_74    sum_age_75    sum_age_76    sum_age_77    sum_age_78    sum_age_79    sum_age_80    sum_age_81    sum_age_82    sum_age_83    sum_age_84    sum_age_85    sum_age_86    sum_age_87    sum_age_88    sum_age_89    sum_age_90    sum_age_91    sum_age_92    sum_age_93    sum_age_94    sum_age_95    sum_age_96    sum_age_97    sum_age_98    sum_age_99    sum_age_100
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      1               0     0.021837      0.0023506     0.0017989     0.0039364     0.0058286     0.0061897     0.0060341     0.0057815     0.0054048     0.0050277     0.0046569      0.004298     0.0039866     0.0036447      0.003339     0.0030338     0.0027615     0.0025074      0.002289     0.0020624     0.0018856     0.0016916     0.0015165     0.0013673      0.001206     0.0010763    0.00094274    0.00082531      0.000714    0.00061095    0.00052607    0.00044107     0.0003735    0.00031711     0.0002589    0.00021978    0.00017926    0.00014951    0.00012471    0.00010231    8.6711e-05    7.2679e-05    6.1405e-05     5.333e-05    4.7309e-05    4.2648e-05    4.0042e-05    7.0642e-05    7.2438e-05    7.3963e-05    7.6756e-05     8.052e-05    8.4986e-05    9.0054e-05    9.5633e-05    0.00010164    0.00010795    0.00011483    0.00012227     0.0001315    0.00014213    0.00016347    0.00017781    0.00018938    0.00020147    0.00021361    0.00022505    0.00023539    0.00024437    0.00025536    0.00026974    0.00027809    0.00030393    0.00030536    0.00030151    0.00029174    0.00027666    0.00025625    0.00023527     0.0001989    0.00016731     0.0001285    9.5833e-05 
      2      0.00051498            0     0.00039478    0.00037898     0.0011264    0.00064408    0.00030008    0.00023135    0.00021502    0.00024953    0.00022929    0.00022957    0.00021222    0.00018776    0.00019566    0.00018623    0.00019735    0.00017052    0.00015775    0.00012432    0.00013426     0.0001018    0.00010785    0.00010078    8.1228e-05    8.4731e-05    6.6089e-05    6.4557e-05    5.4622e-05    5.1787e-05    4.7922e-05    3.9005e-05     3.871e-05     3.424e-05    2.4012e-05    2.9087e-05    2.0398e-05    2.1764e-05    1.8008e-05    1.4866e-05    1.5564e-05    1.2286e-05    1.1604e-05    1.1089e-05    9.8226e-06    9.0409e-06    9.0241e-06    1.0305e-05    3.0558e-06     2.955e-06    4.4212e-06    5.6417e-06    6.6389e-06    7.5551e-06    8.4046e-06    9.2487e-06    1.0019e-05    1.1123e-05    1.2321e-05    1.3672e-05    1.4012e-05    1.3694e-05    3.3492e-06    1.3906e-08     4.305e-08    6.7915e-08    1.0189e-07    1.5687e-06    6.6402e-06    2.0726e-05    3.1096e-05    3.0858e-05    2.5407e-05    3.6383e-06    1.2485e-06    1.8676e-07    1.9599e-07    3.2454e-06    9.0721e-06    4.3348e-06    8.2009e-06    1.3662e-08    1.5349e-06    5.5424e-07 
      3       0.0041199            0      0.0020814     0.0019874     0.0019922    0.00088345    0.00065467    0.00055098     0.0004736    0.00043379    0.00043632     0.0004017    0.00040512    0.00036949    0.00035998    0.00034447     0.0003237    0.00032587    0.00030923    0.00029394    0.00025693    0.00023224    0.00020396     0.0001873    0.00017051    0.00015546    0.00014301    0.00012832    0.00011802      0.000105    9.6881e-05    8.5324e-05    7.7818e-05    6.5933e-05    6.0087e-05    5.0504e-05     4.439e-05    3.7846e-05    3.3403e-05    2.9808e-05    2.5278e-05      2.27e-05    2.0064e-05     1.798e-05    1.6546e-05    1.5373e-05    1.4874e-05    1.6251e-05     4.883e-06    6.4099e-06    7.4925e-06    8.1873e-06    8.7187e-06     9.248e-06    9.9076e-06    1.0745e-05    1.1936e-05     1.324e-05    1.4701e-05    1.6366e-05    1.8108e-05    2.0016e-05    2.1465e-05    2.3822e-05    2.6401e-05    2.9153e-05    3.1889e-05    3.3555e-05     3.257e-05    2.2783e-05    1.2945e-05    1.2138e-05    1.8373e-05    2.1631e-05    2.8246e-05    3.3144e-05    3.1902e-05    2.4806e-05    1.2943e-05    6.1477e-06    2.5066e-06    5.0472e-06    3.5222e-06    1.5524e-06 
      4        0.013905            0      0.0038512     0.0031528     0.0016753     0.0011288    0.00094985    0.00086132    0.00074454    0.00068946    0.00064586    0.00062007     0.0005658    0.00052434    0.00048022    0.00044703     0.0004195    0.00039456    0.00037416      0.000356    0.00034133    0.00032167    0.00029953    0.00027584    0.00025121    0.00022982    0.00020748    0.00018889    0.00016913    0.00015305    0.00013636    0.00012298    0.00010886    9.7714e-05    8.6795e-05    7.6399e-05    6.7233e-05     5.895e-05    5.1283e-05    4.4139e-05     3.839e-05    3.3494e-05    2.9605e-05     2.639e-05    2.3755e-05    2.1777e-05    2.0545e-05    1.9689e-05    1.0927e-05    1.1614e-05    1.2418e-05    1.3153e-05    1.3899e-05    1.4643e-05    1.5387e-05    1.6171e-05     1.707e-05    1.8121e-05    1.9296e-05    2.0625e-05    2.2223e-05    2.4152e-05    2.7024e-05     3.027e-05    3.3797e-05     3.698e-05     4.005e-05    4.3415e-05    4.5834e-05    4.6968e-05    4.7232e-05    4.1693e-05    3.9215e-05      3.64e-05    3.2515e-05    2.9213e-05    3.0336e-05    2.9755e-05    2.7212e-05    2.1806e-05    1.5223e-05     8.299e-06    4.8228e-06    5.2141e-06 
      5        0.032959            0      0.0059559     0.0036616     0.0019605     0.0014625     0.0012232     0.0010824     0.0010067    0.00090772     0.0008367    0.00077576    0.00073447    0.00070176    0.00066208    0.00062285    0.00058501    0.00054628    0.00051139     0.0004768    0.00044504    0.00041487    0.00038714    0.00035804    0.00033279    0.00030466    0.00028089    0.00025539    0.00023324    0.00021066    0.00019009    0.00017055    0.00015255    0.00013564    0.00011987    0.00010594    9.3127e-05    8.1898e-05    7.1646e-05    6.2971e-05    5.5255e-05    4.8607e-05    4.2607e-05    3.7543e-05    3.3223e-05    2.9656e-05    2.6859e-05    2.2751e-05    1.6202e-05    1.7442e-05    1.8237e-05    1.9184e-05    2.0139e-05    2.1164e-05    2.2249e-05    2.3376e-05    2.4557e-05    2.5813e-05    2.7275e-05    2.8895e-05    3.0624e-05    3.2476e-05    3.4507e-05    3.6603e-05     3.887e-05    4.2049e-05    4.5996e-05    4.9592e-05    5.2361e-05    5.5252e-05    5.5893e-05    5.5931e-05    5.2742e-05    5.0895e-05    4.7538e-05    4.4147e-05    3.9848e-05    3.6517e-05    3.1403e-05    2.6442e-05    2.0536e-05    1.3722e-05    9.1678e-06    5.2501e-06 
      6        0.064373            0      0.0019624     0.0026806     0.0015589     0.0012782     0.0011853     0.0011104     0.0010413    0.00099588    0.00094689    0.00090336    0.00085962    0.00081985    0.00078477     0.0007441    0.00070412    0.00066616    0.00062748    0.00059171    0.00055525     0.0005215    0.00048782    0.00045667    0.00042509    0.00039588     0.0003666     0.0003385    0.00031153    0.00028502    0.00025975    0.00023539    0.00021183    0.00019025    0.00016962    0.00015031    0.00013285    0.00011654    0.00010182     8.877e-05    7.7063e-05    6.6785e-05    5.7886e-05    5.0365e-05    4.4056e-05    3.8501e-05    3.3408e-05    2.7301e-05    2.1795e-05    2.3141e-05    2.4471e-05    2.5672e-05    2.6952e-05    2.8319e-05    2.9776e-05    3.1405e-05    3.3147e-05    3.5006e-05    3.6925e-05    3.8919e-05    4.1054e-05    4.3232e-05      4.55e-05    4.7866e-05    5.0387e-05    5.2916e-05    5.5706e-05    5.9222e-05    6.2947e-05    6.4643e-05     6.681e-05    6.7928e-05    6.9166e-05    6.4769e-05    6.1034e-05    5.5758e-05    5.0785e-05    4.5203e-05     3.918e-05    3.1745e-05    2.3927e-05    1.6666e-05    1.0185e-05    5.2899e-06 
      7         0.11124            0      0.0010231     0.0010755     0.0008941     0.0009494     0.0009688     0.0009515    0.00093328    0.00092003    0.00090532    0.00088398    0.00086007    0.00082779    0.00079545    0.00076707    0.00073627    0.00070834     0.0006797    0.00065031     0.0006201    0.00058982    0.00055805    0.00052705    0.00049548    0.00046492    0.00043409    0.00040454    0.00037462    0.00034552    0.00031734    0.00028916    0.00026257    0.00023651    0.00021168    0.00018843    0.00016677    0.00014671    0.00012857    0.00011219    9.7574e-05    8.4681e-05    7.3564e-05    6.3759e-05    5.5176e-05    4.7811e-05    4.0784e-05      3.43e-05     2.901e-05    3.0416e-05    3.1892e-05    3.3397e-05    3.4918e-05    3.6515e-05    3.8265e-05    4.0143e-05    4.2176e-05    4.4357e-05    4.6699e-05    4.9194e-05    5.1787e-05    5.4499e-05    5.7355e-05    6.0366e-05    6.3423e-05    6.6468e-05    6.9424e-05    7.1741e-05    7.4632e-05    7.8541e-05    8.0608e-05    8.3378e-05    8.1958e-05    7.9934e-05    7.4036e-05    6.7225e-05    5.9449e-05    5.0009e-05     4.082e-05    3.2417e-05    2.4043e-05      1.83e-05    1.3853e-05    1.1381e-05 
      8         0.17664            0     0.00067266    0.00082141     0.0009652     0.0010565     0.0010188    0.00095986    0.00092965     0.0009006    0.00087432    0.00085327    0.00082987    0.00080957    0.00078445    0.00075774    0.00073194    0.00070239    0.00067466     0.0006448    0.00061701    0.00058749    0.00056031    0.00053116    0.00050366    0.00047491     0.0004467    0.00041853    0.00039029    0.00036278    0.00033502    0.00030821    0.00028203    0.00025658    0.00023228    0.00020933    0.00018724     0.0001669    0.00014822    0.00013097    0.00011546    0.00010158    8.9046e-05    7.7865e-05    6.8017e-05    5.8984e-05    5.0745e-05    4.3796e-05    3.7687e-05    3.9278e-05    4.0917e-05     4.261e-05    4.4435e-05    4.6421e-05    4.8566e-05    5.0831e-05    5.3243e-05     5.584e-05    5.8649e-05     6.164e-05    6.4778e-05    6.8059e-05    7.1486e-05    7.4981e-05    7.8507e-05    8.2038e-05     8.534e-05    8.8374e-05    9.0959e-05    9.3478e-05    9.7453e-05    9.7619e-05    9.7868e-05    9.5029e-05    8.8894e-05    8.3764e-05    7.5536e-05    6.6065e-05    5.5588e-05    4.3527e-05    3.0937e-05    2.0203e-05    1.2372e-05    6.3486e-06 
      9         0.26367            0     0.00045811    0.00086333     0.0011647     0.0011767     0.0010716     0.0010184    0.00097854    0.00094763    0.00091892    0.00089026    0.00086293     0.0008341    0.00080895    0.00078244    0.00075518    0.00072811    0.00069859    0.00067033    0.00064039    0.00061225    0.00058274    0.00055489    0.00052637    0.00049888    0.00047155    0.00044421    0.00041748    0.00039079    0.00036451     0.0003387    0.00031319    0.00028803    0.00026407    0.00024039    0.00021791    0.00019659    0.00017621    0.00015715    0.00013958    0.00012332    0.00010851    9.5315e-05    8.3345e-05    7.2715e-05    6.3484e-05    5.5404e-05    4.8566e-05    5.0457e-05    5.2266e-05    5.4203e-05    5.6374e-05     5.879e-05    6.1411e-05    6.4201e-05    6.7155e-05    7.0302e-05    7.3612e-05     7.707e-05    8.0694e-05    8.4498e-05    8.8433e-05    9.2512e-05    9.6686e-05    0.00010091    0.00010488     0.0001086    0.00011156    0.00011387    0.00011544    0.00011754    0.00011671     0.0001132    0.00010748    9.6712e-05    8.3695e-05    6.9226e-05    5.2811e-05    3.6631e-05     2.424e-05    1.4437e-05    7.5006e-06    2.6057e-06 
     10         0.37542            0     0.00053656      0.001129     0.0012812     0.0011528     0.0011099     0.0010906     0.0010721     0.0010427     0.0010076    0.00097182    0.00093918    0.00090906    0.00087758    0.00084881    0.00081972    0.00079083     0.0007612    0.00073131    0.00070183    0.00067199    0.00064277    0.00061333    0.00058457    0.00055567    0.00052723    0.00049874    0.00047052    0.00044245     0.0004144    0.00038663    0.00035887    0.00033201    0.00030516    0.00027923     0.0002543    0.00023018    0.00020727    0.00018606    0.00016615    0.00014782    0.00013128    0.00011611    0.00010259    9.0574e-05     7.989e-05    7.0547e-05    6.2246e-05    6.4154e-05    6.6299e-05    6.8789e-05    7.1566e-05    7.4543e-05    7.7636e-05    8.0901e-05     8.436e-05    8.8057e-05    9.1992e-05    9.6152e-05    0.00010054    0.00010512    0.00010991    0.00011474     0.0001195    0.00012417    0.00012859    0.00013216    0.00013419    0.00013544    0.00013574    0.00013493    0.00013079    0.00012383    0.00011475    0.00010182    8.5392e-05    6.6848e-05    4.8275e-05    3.1774e-05    1.8617e-05    9.9001e-06    4.4484e-06    1.3074e-06 
     11         0.51498            0     0.00090841     0.0013729     0.0012822     0.0012345      0.001202     0.0011613     0.0011142     0.0010778     0.0010575     0.0010414      0.001022     0.0009977    0.00097196    0.00094301    0.00091252    0.00087847    0.00084517    0.00081116    0.00077833    0.00074514    0.00071273    0.00068088    0.00064898      0.000618    0.00058661    0.00055606    0.00052557    0.00049489    0.00046498    0.00043493    0.00040553    0.00037628    0.00034774    0.00032003    0.00029306    0.00026724    0.00024288    0.00021952    0.00019765     0.0001775    0.00015868    0.00014161    0.00012615    0.00011221    9.9815e-05    8.8707e-05     7.892e-05    8.1256e-05    8.4091e-05     8.728e-05    9.0692e-05    9.4238e-05    9.7996e-05    0.00010194    0.00010612    0.00011047    0.00011498    0.00011962    0.00012441    0.00012921    0.00013409    0.00013891    0.00014376    0.00014851    0.00015293     0.0001559    0.00015751    0.00015731    0.00015463    0.00015075    0.00014429    0.00013436    0.00012034    0.00010296    8.3986e-05     6.269e-05    4.2325e-05    2.6047e-05     1.429e-05    6.8836e-06    2.7905e-06     6.985e-07 
     12         0.68544            0     0.00097635     0.0011151     0.0011024      0.001139     0.0011822     0.0011811     0.0011642      0.001146     0.0011187     0.0010898     0.0010624      0.001037     0.0010125    0.00098739    0.00095924    0.00093146     0.0009022    0.00087268    0.00084104    0.00080968    0.00077724    0.00074469    0.00071227    0.00067915    0.00064694    0.00061432     0.0005819    0.00055025    0.00051835    0.00048712    0.00045619    0.00042582    0.00039611    0.00036701    0.00033869    0.00031138    0.00028496    0.00025986    0.00023624    0.00021385    0.00019313    0.00017396    0.00015626    0.00014013    0.00012541    0.00011214    0.00010021    0.00010341    0.00010701    0.00011073    0.00011448    0.00011835    0.00012241    0.00012666    0.00013102    0.00013559    0.00014039    0.00014534    0.00015032    0.00015563     0.0001609    0.00016629    0.00017127    0.00017564    0.00017896    0.00018095     0.0001817    0.00017922    0.00017381    0.00016582    0.00015524    0.00014087    0.00012266    0.00010188    7.8739e-05    5.6309e-05    3.6395e-05    2.1102e-05    1.0995e-05    5.0261e-06    1.8745e-06    6.2698e-07 
     13         0.88989            0     0.00023558    0.00050592    0.00075138    0.00094942      0.001009     0.0010338     0.0010537     0.0010642     0.0010706     0.0010717     0.0010667     0.0010574     0.0010428     0.0010227     0.0010007    0.00097676    0.00095167    0.00092421    0.00089603    0.00086616    0.00083583    0.00080446    0.00077257    0.00074072    0.00070824    0.00067595    0.00064373    0.00061135    0.00057936    0.00054744    0.00051581    0.00048462    0.00045385    0.00042348    0.00039391    0.00036492    0.00033671    0.00030959    0.00028337     0.0002585    0.00023496    0.00021284    0.00019229    0.00017326    0.00015581    0.00013993    0.00012554    0.00012957    0.00013342     0.0001372    0.00014123    0.00014557    0.00015006    0.00015469    0.00015951    0.00016459    0.00016994    0.00017544    0.00018076    0.00018582    0.00019111    0.00019607    0.00020051    0.00020407    0.00020612     0.0002064    0.00020371    0.00019851    0.00019036    0.00017872    0.00016392    0.00014502    0.00012232    9.7768e-05    7.2521e-05    4.9304e-05    3.0432e-05    1.6703e-05    7.9833e-06    3.2856e-06    1.4206e-06    3.7053e-07 
     14          1.1314            0      4.591e-05    0.00027667    0.00049327    0.00061366    0.00072435    0.00082036    0.00088248    0.00092009    0.00094685    0.00096639    0.00098127    0.00099004      0.000992    0.00098988     0.0009843    0.00097482    0.00096084    0.00094393    0.00092369    0.00090128    0.00087673    0.00085073    0.00082341    0.00079493    0.00076575    0.00073588    0.00070539    0.00067456    0.00064336    0.00061187    0.00058039    0.00054877    0.00051712    0.00048586    0.00045468    0.00042389    0.00039379    0.00036426    0.00033574    0.00030822    0.00028194    0.00025701    0.00023354    0.00021159    0.00019126    0.00017251    0.00015548    0.00015936    0.00016313    0.00016737    0.00017193     0.0001767    0.00018175    0.00018694    0.00019208     0.0001972    0.00020249    0.00020794    0.00021348    0.00021892    0.00022364    0.00022794    0.00023069    0.00023187    0.00023137    0.00022939     0.0002242     0.0002163    0.00020472    0.00018929    0.00016904    0.00014501    0.00011851    9.0768e-05    6.4673e-05    4.2001e-05    2.4727e-05    1.2926e-05    6.0889e-06    2.6198e-06    8.4705e-07    6.7372e-08 
     15          1.4131            0     1.7547e-05    0.00019582    0.00030348    0.00040728    0.00051335    0.00060218    0.00067729    0.00074556    0.00079862    0.00083857    0.00086881    0.00089038    0.00090661    0.00091875    0.00092593    0.00092836    0.00092628    0.00091999    0.00091058    0.00089764     0.0008822    0.00086417    0.00084407    0.00082232     0.0007987    0.00077373    0.00074775    0.00072047    0.00069234    0.00066357    0.00063389    0.00060378     0.0005733    0.00054228    0.00051115       0.00048    0.00044888    0.00041811    0.00038779    0.00035828    0.00032974    0.00030235     0.0002763    0.00025185      0.000229    0.00020795    0.00018851    0.00019233    0.00019713    0.00020204    0.00020686    0.00021156    0.00021624    0.00022115    0.00022642    0.00023193    0.00023737     0.0002426    0.00024806    0.00025277    0.00025632    0.00025822    0.00025925      0.000258    0.00025527    0.00025042    0.00024341     0.0002319    0.00021538    0.00019486    0.00016961    0.00014106    0.00011132     8.233e-05    5.6181e-05    3.4892e-05     1.934e-05    9.3021e-06    4.0429e-06     1.464e-06    2.8824e-07    9.0805e-09 
     16          1.7381            0     8.2268e-06    6.7346e-05    0.00015086    0.00025852    0.00035749     0.0004419     0.0005185    0.00058388     0.0006416     0.0006931    0.00073626    0.00077282    0.00080296    0.00082672    0.00084432    0.00085673    0.00086485    0.00086902    0.00086948    0.00086677    0.00086039    0.00085141     0.0008395    0.00082504    0.00080873     0.0007902    0.00076976    0.00074801    0.00072446    0.00069952    0.00067347    0.00064607    0.00061769    0.00058851    0.00055848    0.00052797    0.00049719    0.00046632    0.00043571    0.00040556     0.0003761    0.00034771    0.00032048    0.00029451    0.00026999    0.00024688    0.00022547    0.00023036    0.00023465    0.00023887    0.00024337    0.00024824    0.00025318    0.00025807    0.00026309    0.00026825    0.00027362    0.00027817    0.00028168    0.00028453    0.00028627    0.00028691     0.0002856    0.00028291    0.00027786    0.00027092    0.00025952     0.0002423    0.00022155    0.00019534    0.00016492    0.00013213    0.00010069    7.1502e-05    4.6287e-05    2.7106e-05    1.3618e-05    6.0911e-06    2.2708e-06    5.9994e-07    8.0017e-08    9.6994e-10 
     17          2.1094            0     6.1503e-06    3.6395e-05    9.6376e-05    0.00016375    0.00023657    0.00031415    0.00038707    0.00045262    0.00051134     0.0005633    0.00061019    0.00065232    0.00068939     0.0007211    0.00074825    0.00077074    0.00078889    0.00080284    0.00081245    0.00081836     0.0008207    0.00081972    0.00081591     0.0008091    0.00079979    0.00078819    0.00077416    0.00075803    0.00074003    0.00071996    0.00069822     0.0006751    0.00065035    0.00062436    0.00059746    0.00056949    0.00054084    0.00051183    0.00048247    0.00045315    0.00042418    0.00039551    0.00036768     0.0003406    0.00031457    0.00028978    0.00026608    0.00027015    0.00027445    0.00027875    0.00028307    0.00028747    0.00029206    0.00029714    0.00030161    0.00030534    0.00030833     0.0003115    0.00031352    0.00031448    0.00031478    0.00031326    0.00031058    0.00030585    0.00029889    0.00028672    0.00026928    0.00024702    0.00022019    0.00018876    0.00015353    0.00011931    8.7625e-05    5.8979e-05    3.6204e-05    1.9448e-05    9.0915e-06    3.7266e-06    1.1432e-06     2.509e-07    2.5472e-08    4.7457e-11 
     18          2.5301            0      1.345e-05     3.725e-05    7.4002e-05    0.00012113    0.00017621    0.00023376    0.00029175    0.00034877    0.00040324    0.00045437    0.00050221    0.00054598    0.00058604    0.00062222    0.00065468    0.00068315    0.00070762     0.0007283    0.00074524    0.00075873    0.00076888    0.00077552    0.00077921    0.00078008    0.00077786    0.00077321    0.00076618    0.00075631    0.00074448    0.00073064    0.00071444    0.00069637    0.00067688    0.00065547    0.00063241    0.00060828     0.0005827    0.00055597    0.00052862    0.00050055      0.000472    0.00044372    0.00041534    0.00038772    0.00036061    0.00033444    0.00030942      0.000313    0.00031645    0.00032028    0.00032434    0.00032882    0.00033253     0.0003353    0.00033801    0.00034065    0.00034257    0.00034349    0.00034376    0.00034305    0.00034108    0.00033826    0.00033314    0.00032587    0.00031255    0.00029505     0.0002715     0.0002438     0.0002117    0.00017517    0.00013844    0.00010407    7.2714e-05    4.6875e-05    2.6997e-05    1.3355e-05    6.0437e-06    2.1773e-06    5.8164e-07     1.059e-07    5.0909e-09    1.6453e-12 
     19          3.0034            0     2.2526e-05    4.8231e-05    7.8125e-05    0.00011085    0.00014554    0.00018424     0.0002271    0.00027285    0.00031971    0.00036626     0.0004112    0.00045419    0.00049462    0.00053257     0.0005676    0.00059971    0.00062867    0.00065442     0.0006769    0.00069602    0.00071231    0.00072545    0.00073555     0.0007431    0.00074779    0.00074969    0.00074922     0.0007464    0.00074069    0.00073286    0.00072307    0.00071068    0.00069599    0.00067971    0.00066111    0.00064037    0.00061831    0.00059454     0.0005693    0.00054329    0.00051647    0.00048882    0.00046146    0.00043367    0.00040661    0.00037982    0.00035393    0.00035649    0.00036002    0.00036338    0.00036614    0.00036818    0.00037054    0.00037252    0.00037371    0.00037422    0.00037439     0.0003737    0.00037214    0.00036935    0.00036523     0.0003596    0.00035139    0.00033681    0.00031893    0.00029445    0.00026595    0.00023286    0.00019646    0.00015779    0.00012075    8.7127e-05    5.8516e-05    3.5709e-05    1.9059e-05    9.2388e-06     3.775e-06    1.2317e-06    2.8836e-07    4.3376e-08    7.1225e-10    3.0546e-14 
     20          3.5323            0     2.9888e-05    5.5596e-05    8.1028e-05    0.00010487    0.00012962    0.00015635    0.00018643    0.00021997    0.00025643    0.00029511    0.00033498    0.00037497    0.00041425    0.00045205     0.0004879    0.00052158    0.00055282    0.00058146    0.00060775    0.00063123    0.00065203    0.00067046    0.00068611    0.00069898    0.00070967    0.00071753    0.00072287    0.00072596    0.00072657    0.00072436    0.00071981    0.00071329    0.00070407    0.00069222    0.00067883    0.00066295    0.00064475    0.00062505    0.00060349    0.00058014    0.00055594    0.00053061    0.00050418    0.00047787    0.00045087    0.00042445    0.00039795    0.00040069    0.00040227    0.00040369    0.00040535    0.00040667    0.00040723    0.00040726    0.00040681    0.00040573    0.00040383    0.00040109    0.00039713    0.00039191    0.00038513    0.00037466    0.00035908    0.00033969    0.00031546    0.00028655    0.00025263    0.00021552    0.00017687    0.00013771    0.00010133    7.0738e-05    4.5391e-05    2.6104e-05     1.327e-05    6.0759e-06    2.2819e-06    6.6765e-07    1.4202e-07     1.605e-08    8.4958e-11    5.7428e-17 
     21          4.1199            0     3.0433e-05    5.4594e-05    7.2792e-05    9.1925e-05    0.00011221    0.00013384    0.00015706    0.00018274    0.00021127    0.00024233    0.00027536    0.00030985    0.00034507    0.00038043    0.00041521    0.00044891    0.00048119    0.00051156    0.00054004    0.00056639    0.00059045    0.00061228    0.00063188    0.00064923    0.00066414    0.00067715    0.00068758    0.00069562    0.00070168    0.00070528    0.00070628    0.00070491    0.00070161     0.0006956    0.00068672     0.0006762    0.00066304    0.00064732    0.00062989    0.00061053    0.00058899    0.00056663    0.00054282     0.0005179    0.00049262    0.00046656    0.00044082    0.00044129    0.00044216    0.00044252    0.00044229    0.00044171    0.00044074    0.00043901     0.0004366    0.00043338    0.00042933    0.00042407    0.00041735    0.00040878    0.00039581    0.00037903    0.00035846     0.0003339    0.00030469    0.00027075    0.00023301    0.00019367    0.00015418    0.00011587    8.3207e-05    5.5452e-05    3.3956e-05    1.8291e-05    9.1173e-06    3.8646e-06    1.3381e-06    3.4678e-07    6.7702e-08    4.0238e-09    6.5354e-12     7.552e-20 
     22          4.7693            0     2.0409e-05    3.7846e-05    5.5558e-05    7.2536e-05    8.9826e-05    0.00010851    0.00012909    0.00015124    0.00017509    0.00020092    0.00022874    0.00025824    0.00028903    0.00032061    0.00035252    0.00038424    0.00041548    0.00044581    0.00047486     0.0005026     0.0005287    0.00055297    0.00057555    0.00059623    0.00061496    0.00063171    0.00064656    0.00065929    0.00066969    0.00067832    0.00068456    0.00068826    0.00068968    0.00068907    0.00068577    0.00067956     0.0006716    0.00066097    0.00064764    0.00063255    0.00061535    0.00059579     0.0005752    0.00055278    0.00052939    0.00050509    0.00048009    0.00047967     0.0004785    0.00047714    0.00047534    0.00047299    0.00046995    0.00046622    0.00046153    0.00045596    0.00044917    0.00044074    0.00043038    0.00041501    0.00039735    0.00037517    0.00034975    0.00032031    0.00028623    0.00024839    0.00020861    0.00016937    0.00013028    9.5077e-05    6.5533e-05    4.2293e-05    2.4355e-05     1.281e-05    6.0008e-06    2.3907e-06    7.6488e-07    1.7969e-07    3.0983e-08    5.8399e-10    3.5786e-13    7.5954e-25 
     23          5.4836            0     5.1452e-06    1.8425e-05    3.2883e-05    4.8468e-05    6.5255e-05    8.2711e-05    0.00010079    0.00012032    0.00014151    0.00016428    0.00018859     0.0002144    0.00024157    0.00026991    0.00029902    0.00032857     0.0003581    0.00038734    0.00041595    0.00044371    0.00047044    0.00049598    0.00052016    0.00054292    0.00056422    0.00058376    0.00060179    0.00061797    0.00063235    0.00064464    0.00065531    0.00066372    0.00066977    0.00067368    0.00067553    0.00067466    0.00067098    0.00066538    0.00065704    0.00064587    0.00063291    0.00061754    0.00059999    0.00058104    0.00056021    0.00053833    0.00051523    0.00051292    0.00051024    0.00050699    0.00050323    0.00049882    0.00049371    0.00048759    0.00048028    0.00047155    0.00046142    0.00044935    0.00043177    0.00041285    0.00038929    0.00036323    0.00033284    0.00029865    0.00026148    0.00022198    0.00018225    0.00014351     0.0001068    7.5491e-05    5.0714e-05    3.1096e-05    1.7097e-05    8.6969e-06    3.8608e-06    1.4449e-06    4.2119e-07    9.5077e-08    1.1538e-08    6.2368e-11    6.9896e-15    8.7751e-32 
     24          6.2658            0     7.3282e-07    5.3334e-06    1.4182e-05    2.7049e-05    4.1491e-05    5.7166e-05    7.4117e-05    9.1892e-05     0.0001106    0.00013061    0.00015215    0.00017518    0.00019955    0.00022507    0.00025154    0.00027874    0.00030639    0.00033417    0.00036183     0.0003891    0.00041576    0.00044166     0.0004666    0.00049054     0.0005133    0.00053487    0.00055503    0.00057389    0.00059116    0.00060682    0.00062067      0.000633    0.00064318    0.00065116    0.00065702    0.00066075    0.00066183    0.00066022    0.00065657    0.00065024    0.00064123    0.00063033    0.00061689    0.00060143    0.00058413    0.00056508    0.00054461    0.00054051    0.00053587    0.00053061    0.00052479    0.00051822     0.0005104    0.00050129    0.00049096    0.00047896    0.00046467     0.0004453    0.00042537    0.00040078    0.00037337    0.00034228    0.00030834    0.00027211    0.00023332    0.00019301    0.00015424    0.00011809     8.518e-05    5.8896e-05    3.7923e-05    2.2039e-05    1.1901e-05    5.7685e-06    2.4344e-06    8.4535e-07    2.2509e-07     4.759e-08    2.8118e-09    3.6144e-12    3.7756e-17    5.1068e-43 
     25          7.1191            0      1.062e-07    1.2922e-06    4.9633e-06    1.2247e-05    2.3108e-05    3.5999e-05    5.0156e-05     6.567e-05    8.2555e-05    0.00010059    0.00011968    0.00013995    0.00016154    0.00018441    0.00020842    0.00023331    0.00025889    0.00028494    0.00031119    0.00033745     0.0003635    0.00038914    0.00041425    0.00043866     0.0004623    0.00048499    0.00050669    0.00052722    0.00054659    0.00056457    0.00058113     0.0005961    0.00060958    0.00062108    0.00063061    0.00063815    0.00064354    0.00064644    0.00064692    0.00064521    0.00064085    0.00063404    0.00062502    0.00061354    0.00059997    0.00058433     0.0005669    0.00056084    0.00055432    0.00054696    0.00053854    0.00052915    0.00051869    0.00050657    0.00049237    0.00047617    0.00045554    0.00043461    0.00040858    0.00038006    0.00034891    0.00031555    0.00027977    0.00024155    0.00020206    0.00016348    0.00012764    9.4375e-05    6.6522e-05     4.452e-05    2.7476e-05    1.5492e-05    8.0823e-06    3.7477e-06    1.5029e-06    4.8533e-07    1.2157e-07    2.0496e-08    3.9825e-10    1.6536e-13    2.2959e-19    1.3834e-55 
     26          8.0466            0     1.7779e-08    5.0549e-07    2.0442e-06    5.3225e-06    1.1275e-05     2.021e-05    3.1415e-05    4.4125e-05    5.8103e-05     7.348e-05    9.0294e-05    0.00010838    0.00012762    0.00014793    0.00016933    0.00019175    0.00021501    0.00023901     0.0002635    0.00028832    0.00031323    0.00033809    0.00036271    0.00038697    0.00041072     0.0004339    0.00045633    0.00047798    0.00049865    0.00051837    0.00053689    0.00055422    0.00057021    0.00058473    0.00059747    0.00060839    0.00061743    0.00062432    0.00062891    0.00063121    0.00063122    0.00062875    0.00062388    0.00061665    0.00060705    0.00059516    0.00058119    0.00057321    0.00056415    0.00055436    0.00054361    0.00053138    0.00051731    0.00050146    0.00048397    0.00046225    0.00043967    0.00041236    0.00038367    0.00035283    0.00031986    0.00028443    0.00024686    0.00020877    0.00017125    0.00013539    0.00010262    7.3931e-05    5.0749e-05     3.291e-05    1.9436e-05    1.0735e-05    5.3845e-06    2.3974e-06    9.0953e-07    2.7386e-07    6.5609e-08    6.3059e-09    2.9845e-11    4.7872e-15    9.7768e-23    2.1221e-76 
     27          9.0514            0     3.0263e-09    3.0488e-07    1.0981e-06    2.7972e-06    5.7624e-06    1.0712e-05    1.8036e-05    2.7553e-05    3.8811e-05     5.143e-05    6.5338e-05     8.058e-05    9.7198e-05    0.00011508     0.0001341    0.00015419    0.00017517    0.00019692    0.00021936    0.00024229    0.00026561    0.00028915    0.00031274    0.00033629    0.00035964    0.00038268    0.00040532    0.00042743    0.00044893    0.00046968    0.00048961    0.00050856    0.00052644    0.00054314    0.00055847    0.00057222    0.00058426    0.00059454    0.00060274    0.00060884    0.00061272    0.00061432    0.00061356    0.00061036     0.0006048    0.00059684    0.00058654    0.00057623    0.00056515    0.00055267    0.00053862    0.00052308    0.00050622    0.00048786    0.00046451    0.00044035    0.00041261    0.00038408    0.00035366    0.00032105    0.00028608    0.00024962    0.00021299    0.00017682     0.0001417    0.00010894    8.0738e-05    5.6485e-05    3.7922e-05    2.3666e-05    1.3613e-05    7.3036e-06    3.5363e-06    1.5087e-06    5.3827e-07    1.5075e-07    3.0729e-08    1.1909e-09    1.2798e-12    5.2274e-17    5.2302e-29             0 
     28          10.136            0     1.2227e-10    1.6491e-07    5.5442e-07    1.5926e-06    3.3079e-06    6.0544e-06    1.0302e-05    1.6398e-05    2.4398e-05    3.4166e-05    4.5442e-05    5.8054e-05    7.1919e-05    8.7007e-05     0.0001033    0.00012074    0.00013924    0.00015869    0.00017892    0.00019984    0.00022131    0.00024318    0.00026538    0.00028773    0.00031014    0.00033251    0.00035472    0.00037668     0.0003983    0.00041947    0.00044009    0.00046006    0.00047924     0.0004975    0.00051471    0.00053065    0.00054519    0.00055812    0.00056936    0.00057869    0.00058602    0.00059119    0.00059417    0.00059477    0.00059299    0.00058884    0.00058225    0.00056979     0.0005558    0.00054048    0.00052399    0.00050653    0.00048679    0.00046201    0.00043723     0.0004094    0.00038118    0.00035119    0.00031902    0.00028489    0.00024992    0.00021481    0.00018003    0.00014614    0.00011402    8.6198e-05    6.1921e-05    4.2482e-05    2.7784e-05    1.6647e-05    9.4325e-06    4.8995e-06    2.2896e-06    9.3457e-07     3.115e-07    8.3789e-08    1.0621e-08    1.2728e-10    4.4263e-14    8.7185e-20      4.58e-33             0 
     29          11.305            0              0    4.8394e-08    2.2296e-07    8.1497e-07    1.9096e-06    3.6064e-06    6.1787e-06    9.9492e-06    1.5167e-05    2.1977e-05    3.0358e-05    4.0232e-05    5.1476e-05    6.3994e-05    7.7708e-05    9.2552e-05    0.00010844    0.00012536    0.00014314    0.00016176    0.00018106    0.00020097    0.00022136    0.00024212    0.00026317     0.0002844    0.00030573    0.00032704    0.00034824    0.00036924    0.00038997    0.00041029     0.0004301    0.00044929    0.00046764    0.00048505    0.00050134    0.00051635    0.00052986    0.00054178    0.00055191    0.00056013     0.0005663    0.00057033    0.00057203    0.00057139    0.00056836    0.00055335    0.00053721    0.00052023     0.0005016    0.00048041    0.00045524    0.00043043    0.00040287    0.00037496    0.00034545    0.00031399    0.00028113    0.00024773    0.00021428      0.000181     0.0001486    0.00011803    9.0279e-05    6.6669e-05    4.6703e-05    3.1436e-05    1.9811e-05    1.1675e-05    6.4407e-06    3.2453e-06    1.4638e-06    5.6921e-07    1.8099e-07     4.158e-08    2.3436e-09    7.5612e-12    9.9892e-16    3.8938e-23    6.1858e-41             0 
     30           12.56            0              0    9.3997e-09     7.016e-08    3.1478e-07    1.0131e-06    2.1227e-06    3.7737e-06    6.1842e-06    9.5784e-06    1.4148e-05    2.0038e-05    2.7292e-05    3.5896e-05    4.5795e-05    5.6917e-05    6.9198e-05    8.2588e-05    9.6998e-05    0.00011237     0.0001286    0.00014563    0.00016336    0.00018172     0.0002006    0.00021991    0.00023961    0.00025957    0.00027973    0.00029999    0.00032027     0.0003405    0.00036056    0.00038037    0.00039977    0.00041863    0.00043682    0.00045414    0.00047045    0.00048558    0.00049937    0.00051166     0.0005223     0.0005311    0.00053798    0.00054272    0.00054527    0.00054544    0.00052884    0.00051104    0.00049115    0.00046946    0.00044449    0.00042003      0.000393     0.0003656    0.00033667    0.00030619     0.0002749     0.0002432    0.00021147    0.00017984    0.00014921    0.00012029    9.3553e-05    7.0154e-05    5.0497e-05    3.4629e-05    2.2799e-05    1.3965e-05    8.0949e-06    4.3467e-06    2.1264e-06    9.2286e-07    3.4207e-07    1.0252e-07    1.5475e-08    2.9766e-10    2.7967e-13    1.0158e-17     6.184e-27     4.697e-53             0 
     31          13.905            0              0     1.808e-09    2.0992e-08    9.9385e-08    4.7981e-07    1.1961e-06    2.2799e-06    3.8634e-06    6.1114e-06    9.1905e-06    1.3245e-05    1.8403e-05    2.4725e-05    3.2257e-05    4.0954e-05    5.0771e-05    6.1695e-05    7.3628e-05    8.6551e-05    0.00010037    0.00011506    0.00013052    0.00014668    0.00016349    0.00018086    0.00019871    0.00021701    0.00023564    0.00025455    0.00027367    0.00029288    0.00031215    0.00033136     0.0003504    0.00036915    0.00038743    0.00040512    0.00042208    0.00043814     0.0004531    0.00046686    0.00047921    0.00049003    0.00049911    0.00050635    0.00051155    0.00051462    0.00049618     0.0004761    0.00045458    0.00043008    0.00040624     0.0003799    0.00035331    0.00032521    0.00029607    0.00026639    0.00023655    0.00020656    0.00017679    0.00014801    0.00012073    9.5441e-05     7.282e-05    5.3495e-05     3.761e-05    2.5361e-05    1.6275e-05    9.7826e-06    5.5495e-06    2.9058e-06     1.377e-06     5.752e-07    2.0433e-07     5.244e-08    3.7363e-09    2.1434e-11    6.4752e-15    6.4438e-21     9.266e-31    2.9797e-63             0 
     32          15.342            0              0    4.1404e-10    6.2716e-09    3.4866e-08    1.9071e-07    6.3397e-07    1.3496e-06     2.397e-06    3.9002e-06     5.987e-06    8.7863e-06    1.2414e-05    1.6966e-05    2.2515e-05    2.9114e-05    3.6743e-05    4.5398e-05     5.505e-05    6.5651e-05    7.7169e-05    8.9536e-05    0.00010272    0.00011664    0.00013126    0.00014653    0.00016238    0.00017875    0.00019558     0.0002128    0.00023037    0.00024822    0.00026626    0.00028441    0.00030258    0.00032064    0.00033848    0.00035595    0.00037293    0.00038923    0.00040474    0.00041927    0.00043271    0.00044484    0.00045553    0.00046461    0.00047189    0.00047726    0.00045739    0.00043624    0.00041249    0.00038931    0.00036396    0.00033839    0.00031149    0.00028388    0.00025592    0.00022792    0.00019979    0.00017203    0.00014517    0.00011971     9.594e-05    7.4496e-05    5.5619e-05    4.0137e-05    2.7592e-05     1.836e-05    1.1467e-05    6.7984e-06    3.7724e-06    1.9224e-06    8.8275e-07    3.5578e-07    1.2011e-07    2.0411e-08    5.3237e-10    9.4135e-13    9.5325e-17    1.6474e-24    3.2872e-38             0             0 
     33          16.875            0              0    9.9687e-11    1.6909e-09    1.3108e-08    6.2084e-08    3.0792e-07    7.7447e-07    1.4709e-06     2.478e-06    3.8942e-06    5.8265e-06    8.3703e-06    1.1626e-05    1.5668e-05    2.0561e-05    2.6362e-05    3.3054e-05     4.066e-05    4.9152e-05    5.8516e-05    6.8714e-05      7.97e-05    9.1447e-05    0.00010391    0.00011705    0.00013083    0.00014517    0.00016005    0.00017542    0.00019122    0.00020739     0.0002239    0.00024063    0.00025753    0.00027449     0.0002914    0.00030815    0.00032458    0.00034061    0.00035603    0.00037076    0.00038462    0.00039746    0.00040911    0.00041937    0.00042815    0.00043525    0.00041475    0.00039198    0.00036967     0.0003456    0.00032117    0.00029585    0.00026995    0.00024383    0.00021765    0.00019145    0.00016576     0.0001409    0.00011726    9.5177e-05    7.5042e-05    5.7203e-05    4.1894e-05    2.9601e-05    2.0094e-05    1.3105e-05    8.0328e-06    4.6863e-06     2.541e-06    1.2607e-06     5.602e-07    2.2059e-07    6.2824e-08    5.2245e-09    4.2807e-11    2.6095e-14    7.1329e-19    5.9446e-28     4.692e-43             0             0 
     34          18.507            0              0    2.1381e-11    4.7515e-10    4.3065e-09    2.1839e-08    1.2741e-07    4.1986e-07     8.897e-07    1.5632e-06    2.5217e-06     3.851e-06    5.6327e-06     7.948e-06    1.0866e-05    1.4461e-05    1.8787e-05    2.3886e-05    2.9761e-05    3.6442e-05    4.3903e-05    5.2138e-05    6.1127e-05    7.0841e-05     8.126e-05    9.2349e-05    0.00010406     0.0001164    0.00012929    0.00014271    0.00015662    0.00017098    0.00018572    0.00020082    0.00021619    0.00023173    0.00024736    0.00026297    0.00027848    0.00029372     0.0003086    0.00032299    0.00033672    0.00034969    0.00036171    0.00037263    0.00038228     0.0003905    0.00036909    0.00034807    0.00032538    0.00030223     0.0002786    0.00025457     0.0002304    0.00020608    0.00018189    0.00015824     0.0001354    0.00011362    9.3221e-05    7.4542e-05    5.7857e-05    4.3224e-05    3.1198e-05    2.1655e-05    1.4498e-05    9.2437e-06    5.6036e-06    3.2067e-06    1.6972e-06    8.1929e-07    3.5446e-07    1.3361e-07    2.5135e-08    8.0361e-10     2.051e-12    4.7044e-16    2.0404e-22    1.0066e-31    2.5702e-52             0             0 
     35          20.241            0              0     8.897e-13    1.3917e-10    1.2185e-09    8.3899e-09     4.173e-08    2.0492e-07    5.2255e-07    9.8237e-07    1.6301e-06    2.5354e-06    3.7744e-06    5.4126e-06    7.5144e-06    1.0134e-05    1.3334e-05    1.7149e-05    2.1637e-05    2.6787e-05    3.2637e-05    3.9171e-05    4.6391e-05    5.4289e-05     6.284e-05    7.2026e-05    8.1828e-05    9.2219e-05    0.00010319     0.0001147    0.00012671    0.00013919    0.00015213    0.00016545    0.00017911    0.00019305    0.00020717     0.0002214    0.00023564    0.00024978    0.00026373    0.00027734    0.00029055    0.00030318     0.0003151    0.00032616    0.00033618    0.00034502    0.00032505     0.0003037    0.00028204    0.00026019    0.00023809    0.00021591    0.00019353    0.00017138    0.00014973    0.00012888    0.00010897    9.0282e-05    7.3077e-05    5.7601e-05    4.3955e-05    3.2291e-05    2.2963e-05    1.5642e-05    1.0377e-05      6.48e-06    3.8869e-06    2.1738e-06    1.1256e-06    5.2827e-07    2.2583e-07    7.1058e-08    6.6428e-09     6.924e-11    6.0528e-14    4.8447e-18    9.6876e-26    3.7932e-36     3.869e-61             0             0 
     36           22.08            0              0             0     2.966e-11    3.6653e-10    2.8415e-09    1.4114e-08    8.3128e-08    2.8188e-07    6.0762e-07    1.0565e-06    1.6744e-06    2.5261e-06    3.6718e-06    5.1718e-06    7.0733e-06    9.4197e-06    1.2267e-05    1.5634e-05    1.9574e-05    2.4082e-05    2.9194e-05    3.4903e-05    4.1211e-05    4.8116e-05    5.5597e-05    6.3657e-05    7.2285e-05    8.1448e-05    9.1141e-05    0.00010133    0.00011201    0.00012313    0.00013467    0.00014659    0.00015883    0.00017133    0.00018401     0.0001968    0.00020962    0.00022236    0.00023497    0.00024728    0.00025922    0.00027065    0.00028143    0.00029141    0.00030049    0.00028097    0.00026105    0.00024107    0.00022094    0.00020069    0.00018032     0.0001602    0.00014054     0.0001216    0.00010351    8.6523e-05    7.0808e-05    5.6575e-05     4.392e-05    3.2984e-05    2.3843e-05    1.6669e-05     1.129e-05     7.323e-06    4.5492e-06    2.6694e-06    1.4668e-06    7.3971e-07    3.4164e-07    1.4033e-07    2.9356e-08    1.0755e-09    3.4989e-12    1.1752e-15    2.0988e-20    2.3544e-29    6.0336e-41             0             0             0 
     37          24.027            0              0             0    3.6991e-12    1.1419e-10    8.4508e-10    5.4492e-09    2.6232e-08    1.3236e-07    3.5383e-07    6.7583e-07    1.1113e-06    1.6995e-06    2.4959e-06    3.5517e-06     4.916e-06    6.6292e-06    8.7289e-06    1.1252e-05    1.4221e-05    1.7676e-05    2.1618e-05    2.6075e-05    3.1043e-05    3.6529e-05    4.2546e-05    4.9075e-05    5.6112e-05    6.3653e-05    7.1678e-05    8.0185e-05    8.9154e-05    9.8562e-05    0.00010839    0.00011861    0.00012916    0.00014001     0.0001511    0.00016237    0.00017374    0.00018516    0.00019652    0.00020774    0.00021873    0.00022938    0.00023959     0.0002492    0.00025806    0.00023987    0.00022173    0.00020349    0.00018507    0.00016669    0.00014858    0.00013088    0.00011379     9.746e-05    8.2116e-05    6.7875e-05    5.4899e-05    4.3269e-05    3.3114e-05    2.4482e-05    1.7495e-05    1.2075e-05    8.0654e-06    5.1679e-06    3.1595e-06    1.8273e-06    9.8085e-07     4.843e-07    2.2307e-07    7.6333e-08    7.8528e-09    9.6292e-11    1.0516e-13    1.4596e-17    1.1077e-23    1.5172e-33     4.652e-50             0             0             0 
     38          26.085            0              0             0    7.8046e-13    2.4029e-11    2.7382e-10    1.8482e-09    9.1212e-09    4.9616e-08    1.8267e-07    4.1405e-07    7.3049e-07    1.1484e-06    1.7065e-06    2.4478e-06    3.4165e-06    4.6517e-06    6.1884e-06    8.0555e-06    1.0289e-05    1.2899e-05    1.5922e-05    1.9358e-05    2.3232e-05    2.7552e-05    3.2315e-05    3.7532e-05    4.3198e-05    4.9308e-05    5.5868e-05    6.2859e-05    7.0279e-05     7.812e-05    8.6354e-05    9.4962e-05    0.00010391    0.00011318    0.00012271    0.00013245    0.00014235    0.00015238    0.00016242    0.00017245    0.00018235    0.00019201    0.00020139    0.00021038    0.00021885    0.00020244    0.00018599     0.0001694    0.00015295    0.00013676    0.00012095    0.00010567    9.1032e-05    7.7242e-05    6.4417e-05    5.2681e-05    4.2091e-05    3.2771e-05    2.4756e-05    1.8036e-05    1.2732e-05    8.6403e-06     5.746e-06     3.621e-06    2.1898e-06    1.2403e-06    6.5151e-07    3.2042e-07    1.4025e-07    3.1445e-08    1.3185e-09    5.0414e-12    2.0531e-15    1.0326e-19    3.3189e-27    8.3521e-38    1.1003e-58             0             0             0 
     39          28.258            0              0             0    1.7968e-13    4.0593e-12    8.1361e-11    5.8635e-10    3.4786e-09    1.5777e-08    7.9094e-08    2.3052e-07    4.6164e-07    7.7032e-07    1.1707e-06    1.6963e-06    2.3838e-06     3.269e-06    4.3811e-06    5.7561e-06    7.4099e-06    9.3753e-06    1.1662e-05    1.4298e-05     1.729e-05    2.0649e-05    2.4386e-05    2.8505e-05    3.3014e-05    3.7912e-05    4.3197e-05    4.8875e-05    5.4935e-05    6.1367e-05    6.8168e-05    7.5323e-05    8.2807e-05    9.0586e-05    9.8642e-05    0.00010694    0.00011543    0.00012405    0.00013279    0.00014154     0.0001503    0.00015896    0.00016739    0.00017557    0.00018338    0.00016872    0.00015397    0.00013936    0.00012499    0.00011097    9.7404e-05     8.438e-05    7.2069e-05    6.0584e-05    5.0039e-05    4.0473e-05     3.198e-05    2.4604e-05    1.8351e-05    1.3187e-05    9.1554e-06    6.2157e-06    4.0477e-06    2.5372e-06    1.5052e-06    8.3633e-07    4.3354e-07    2.1392e-07    7.5574e-08    8.6981e-09    1.1998e-10    1.5045e-13    2.6478e-17    3.2345e-22    2.6933e-31     5.085e-43             0             0             0             0 
     40          30.548            0              0             0    8.7684e-15    1.0642e-12    1.7711e-11    1.8961e-10     1.189e-09    5.7603e-09    2.7697e-08      1.11e-07    2.7155e-07    4.9917e-07    7.9584e-07    1.1781e-06    1.6714e-06    2.3054e-06    3.1111e-06    4.1107e-06    5.3323e-06    6.7933e-06    8.5165e-06    1.0514e-05    1.2803e-05    1.5395e-05    1.8297e-05    2.1522e-05    2.5073e-05    2.8956e-05    3.3175e-05    3.7724e-05    4.2611e-05    4.7831e-05    5.3379e-05    5.9242e-05     6.541e-05    7.1871e-05    7.8587e-05    8.5534e-05    9.2691e-05    0.00010002    0.00010748    0.00011503    0.00012261    0.00013017    0.00013765    0.00014496    0.00015202    0.00013903    0.00012616    0.00011349    0.00010111    8.9143e-05    7.7641e-05    6.6733e-05    5.6514e-05    4.7092e-05    3.8508e-05    3.0837e-05    2.4103e-05    1.8332e-05    1.3492e-05    9.5718e-06    6.5985e-06    4.4298e-06    2.8548e-06    1.7629e-06    1.0293e-06    5.6104e-07    2.9438e-07    1.3409e-07    3.0707e-08    1.4754e-09     6.363e-12    2.8428e-15    2.1051e-19    1.8856e-25    2.0048e-35    1.3084e-48             0             0             0             0 
     41          32.959            0              0             0             0    1.9771e-13    3.6622e-12    5.4699e-11    3.8518e-10    2.1703e-09    9.2977e-09    4.3976e-08    1.4195e-07    3.0444e-07    5.2632e-07    8.0996e-07    1.1709e-06    1.6316e-06    2.2152e-06    2.9434e-06      3.84e-06    4.9223e-06    6.2077e-06    7.7134e-06    9.4495e-06    1.1431e-05    1.3671e-05    1.6171e-05    1.8943e-05    2.1991e-05    2.5319e-05    2.8933e-05    3.2835e-05    3.7025e-05      4.15e-05    4.6257e-05    5.1284e-05    5.6563e-05    6.2094e-05    6.7852e-05    7.3802e-05    7.9942e-05    8.6218e-05    9.2619e-05    9.9102e-05     0.0001056    0.00011211    0.00011853    0.00012479    0.00011351     0.0001024    9.1547e-05    8.1039e-05    7.0938e-05    6.1341e-05    5.2316e-05    4.3952e-05    3.6293e-05    2.9409e-05    2.3321e-05    1.8039e-05    1.3558e-05    9.8339e-06    6.9222e-06     4.719e-06    3.1466e-06    2.0019e-06    1.2205e-06    6.9788e-07    3.8156e-07    1.9958e-07    6.9442e-08    8.4521e-09    1.3914e-10    1.8552e-13    3.5972e-17    9.3282e-22    3.5192e-29    1.8505e-40      5.32e-62             0             0             0             0 
     42          35.493            0              0             0             0    1.5011e-14    9.2977e-13    1.2175e-11    1.2437e-10    7.3818e-10    3.5469e-09    1.5062e-08    6.3003e-08    1.6921e-07    3.2998e-07     5.432e-07     8.131e-07    1.1523e-06    1.5786e-06    2.1128e-06    2.7702e-06    3.5697e-06    4.5261e-06    5.6524e-06    6.9649e-06    8.4702e-06     1.018e-05    1.2106e-05    1.4252e-05    1.6626e-05    1.9234e-05    2.2077e-05    2.5163e-05    2.8494e-05    3.2068e-05    3.5881e-05    3.9933e-05    4.4219e-05    4.8716e-05    5.3421e-05    5.8325e-05    6.3386e-05    6.8619e-05    7.3968e-05    7.9432e-05     8.496e-05    9.0502e-05    9.6042e-05    0.00010152    9.1846e-05    8.2385e-05    7.3215e-05     6.439e-05    5.5994e-05    4.8078e-05    4.0705e-05    3.3916e-05    2.7775e-05    2.2308e-05    1.7523e-05    1.3419e-05    9.9748e-06    7.1553e-06    4.9744e-06    3.3881e-06    2.2158e-06    1.4009e-06    8.3686e-07    4.7513e-07    2.6663e-07    1.2162e-07    2.6468e-08    1.4392e-09    7.2755e-12    3.2953e-15    2.8764e-19    1.7891e-24    3.1552e-33    9.8214e-46             0             0             0             0             0 
     43          38.154            0              0             0             0    2.3721e-15     1.525e-13    2.8474e-12    3.4486e-11    2.4318e-10      1.31e-09    5.4593e-09    2.3515e-08    8.2262e-08    1.9152e-07    3.4828e-07    5.5142e-07    8.0566e-07    1.1225e-06    1.5157e-06    2.0006e-06    2.5913e-06     3.302e-06    4.1446e-06    5.1292e-06    6.2686e-06    7.5693e-06    9.0407e-06    1.0693e-05    1.2528e-05    1.4555e-05    1.6778e-05    1.9199e-05    2.1822e-05    2.4652e-05    2.7689e-05    3.0925e-05    3.4357e-05    3.7987e-05    4.1798e-05    4.5777e-05    4.9933e-05    5.4222e-05    5.8659e-05     6.319e-05    6.7816e-05    7.2508e-05    7.7213e-05    8.1914e-05    7.3717e-05    6.5763e-05    5.8096e-05    5.0786e-05    4.3879e-05    3.7424e-05    3.1446e-05    2.6004e-05    2.1125e-05    1.6822e-05    1.3093e-05    9.9287e-06    7.3029e-06    5.1818e-06    3.5744e-06    2.4067e-06    1.5631e-06    9.7069e-07    5.7264e-07    3.3324e-07    1.8024e-07    5.8175e-08    6.8313e-09    1.4286e-10    2.0251e-13     3.941e-17     1.352e-21    7.6712e-28    3.6025e-38     5.461e-52             0             0             0             0             0 
     44          40.945            0              0             0             0    3.0185e-16    1.7487e-14     6.671e-13    7.9687e-12    7.7307e-11     4.482e-10    2.1284e-09    8.2843e-09    3.4259e-08    9.9842e-08    2.0884e-07    3.5939e-07    5.5167e-07    7.8975e-07    1.0829e-06    1.4432e-06    1.8819e-06    2.4099e-06    3.0389e-06    3.7778e-06    4.6357e-06    5.6225e-06    6.7437e-06    8.0063e-06     9.419e-06    1.0985e-05    1.2709e-05    1.4597e-05    1.6652e-05    1.8875e-05    2.1269e-05    2.3835e-05    2.6569e-05    2.9464e-05    3.2523e-05    3.5739e-05    3.9092e-05    4.2594e-05    4.6207e-05    4.9947e-05    5.3775e-05    5.7679e-05    6.1638e-05    6.5608e-05    5.8746e-05    5.2123e-05    4.5792e-05    3.9793e-05     3.417e-05    2.8941e-05    2.4151e-05    1.9825e-05    1.5981e-05     1.262e-05    9.7342e-06    7.3126e-06    5.3087e-06    3.7322e-06    2.5514e-06    1.7088e-06    1.0931e-06    6.6977e-07    3.9927e-07    2.3858e-07    1.0231e-07    1.9738e-08    1.1205e-09    7.4819e-12    3.2867e-15    2.9756e-19    3.4254e-24    1.3052e-31    2.4976e-43             0             0             0             0             0             0 
     45          43.868            0              0             0             0    6.4297e-18    3.2969e-15    1.0699e-13    1.9755e-12    2.0833e-11    1.4915e-10    7.7973e-10    3.2182e-09    1.2565e-08    4.5765e-08    1.1466e-07    2.2132e-07    3.6418e-07    5.4434e-07    7.6584e-07    1.0358e-06    1.3633e-06    1.7579e-06    2.2278e-06    2.7824e-06    3.4286e-06    4.1734e-06    5.0254e-06    5.9886e-06    7.0687e-06    8.2727e-06    9.6044e-06    1.1067e-05    1.2666e-05    1.4404e-05    1.6283e-05      1.83e-05    2.0458e-05    2.2759e-05    2.5192e-05    2.7758e-05    3.0458e-05    3.3271e-05    3.6212e-05     3.925e-05    4.2391e-05    4.5607e-05    4.8887e-05    5.2212e-05     4.652e-05    4.1064e-05    3.5878e-05       3.1e-05     2.645e-05    2.2262e-05    1.8453e-05     1.504e-05    1.2032e-05    9.4239e-06    7.2068e-06    5.3574e-06    3.8456e-06     2.677e-06    1.8301e-06    1.1998e-06    7.6158e-07    4.6441e-07    2.9253e-07    1.5398e-07    4.2767e-08    4.4491e-09    1.0998e-10    2.0374e-13    3.6035e-17     1.315e-21    3.8273e-27    3.7025e-36    1.9901e-49             0             0             0             0             0             0 
     46          46.928            0              0             0             0             0    3.4855e-16    1.6128e-14    4.3387e-13    5.0771e-12    4.6239e-11     2.694e-10    1.2634e-09    4.7077e-09    1.8413e-08    5.6754e-08    1.2633e-07    2.2891e-07    3.6338e-07    5.3077e-07    7.3508e-07    9.8191e-07    1.2782e-06     1.631e-06    2.0475e-06    2.5344e-06    3.0973e-06    3.7418e-06     4.475e-06    5.3002e-06     6.222e-06    7.2458e-06    8.3753e-06    9.6131e-06    1.0962e-05    1.2426e-05    1.4006e-05    1.5701e-05    1.7511e-05    1.9437e-05    2.1475e-05     2.362e-05    2.5879e-05    2.8234e-05    3.0695e-05    3.3238e-05    3.5866e-05    3.8564e-05    4.1317e-05    3.6635e-05    3.2172e-05    2.7961e-05    2.4019e-05    2.0375e-05    1.7044e-05    1.4036e-05    1.1361e-05    9.0209e-06    7.0093e-06    5.3145e-06    3.9122e-06    2.7826e-06     1.921e-06    1.2941e-06    8.4377e-07    5.2727e-07    3.4073e-07    2.0707e-07     7.623e-08    1.2115e-08    6.3357e-10    5.8748e-12    2.8495e-15    2.4142e-19    3.3582e-24    9.1511e-31    4.2721e-41             0             0             0             0             0             0             0 
     47          50.126            0              0             0             0            ...

mp_support_graph('cl_st_graph_title') = {'Pstationary(Asset,Age), asset=x, age=color'};
mp_support_graph('cl_st_ytitle') = {'Conditional Aggregate Mass'};
mp_support_graph('cl_st_xtitle') = {'A (savings)'};
mp_support_graph('st_rowvar_name') = 'age=';
mp_support_graph('it_legend_select') = 5; 
mp_support_graph('st_rounding') = '6.0f';
mp_support_graph('bl_graph_logy') = true;
mp_support_graph('cl_colors') = 'copper';
ff_graph_grid((tb_prob_aage{1:end, 3:end})', age_grid, agrid, mp_support_graph);% Consumption Choices

1.6 Probability Statistics A, C and V Conditional on Ages

Where are the mass at?

ap_ss = mp_dsvfi_results('ap_ss');
c_ss = mp_dsvfi_results('cons_ss');
v_ss = mp_dsvfi_results('v_ss');
n_ss = mp_dsvfi_results('n_ss');

y_head_inc = mp_dsvfi_results('y_head_inc_ss');
y_spouse_inc = mp_dsvfi_results('y_spouse_inc_ss');

yshr_wage = mp_dsvfi_results('yshr_wage_ss');
yshr_SS = mp_dsvfi_results('yshr_SS_ss');
yshr_nttxss = mp_dsvfi_results('yshr_nttxss_ss');

for it_ctr=1:size(ap_ss, 1)
    if (ismember(it_ctr, round(linspace(1, size(ap_ss, 1), 3))))
        display(['age =' num2str(age_grid(it_ctr))]);
        
        % construct input data
        Phi_true_age = Phi_true(it_ctr, :, :, : ,: ,:);
        ap_ss_age = ap_ss(it_ctr, :, :, : ,: ,:);
        c_ss_age = c_ss(it_ctr, :, :, : ,: ,:);
        v_ss_age = v_ss(it_ctr, :, :, : ,: ,:);
        n_ss_age = n_ss(it_ctr, :, :, : ,: ,:);

        y_head_inc_age = y_head_inc(it_ctr, :, :, : ,: ,:);
        y_spouse_inc_age = y_spouse_inc(it_ctr, :, :, : ,: ,:);
        yshr_wage_age = yshr_wage(it_ctr, :, :, : ,: ,:);
        yshr_SS_age = yshr_SS(it_ctr, :, :, : ,: ,:);
        yshr_nttxss_age = yshr_nttxss(it_ctr, :, :, : ,: ,:);
        
        mp_cl_ar_xyz_of_s = containers.Map('KeyType','char', 'ValueType','any');
        mp_cl_ar_xyz_of_s('ap_ss') = {ap_ss_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('c_ss') = {c_ss_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('v_ss') = {v_ss_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('n_ss') = {n_ss_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('y_head_inc') = {y_head_inc_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('y_spouse') = {y_spouse_inc_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('yshr_wage') = {yshr_wage_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('yshr_SS') = {yshr_SS_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('yshr_nttxss') = {yshr_nttxss_age(:), zeros(1)};
        mp_cl_ar_xyz_of_s('ar_st_y_name') = ["ap_ss", "c_ss", "v_ss", "n_ss",...
            "y_head_inc", "y_spouse", "yshr_wage", "yshr_SS", "yshr_nttxss"];
        
        % controls
        mp_support = containers.Map('KeyType','char', 'ValueType','any');
        mp_support('ar_fl_percentiles') = [0.01 10 25 50 75 90 99.99];
        mp_support('bl_display_final') = true;
        mp_support('bl_display_detail') = false;    
        mp_support('bl_display_drvm2outcomes') = false;  
        mp_support('bl_display_drvstats') = false;
        mp_support('bl_display_drvm2covcor') = false;
    
        % Call Function     
        mp_cl_mt_xyz_of_s = ff_simu_stats(Phi_true_age(:)/sum(Phi_true_age,'all'), mp_cl_ar_xyz_of_s, mp_support);
    end
end

age =18
xxx tb_outcomes: all stats xxx
    OriginalVariableNames       ap_ss          c_ss          v_ss           n_ss       y_head_inc     y_spouse      yshr_wage     yshr_SS    yshr_nttxss
    ______________________    __________    __________    ___________    __________    __________    __________    ___________    _______    ___________

    {'mean'              }       0.13209       0.63361         -59.72        1.9854       0.71265       0.22832              1        0         0.16301 
    {'unweighted_sum'    }    1.0935e+07    8.5257e+05    -1.1176e+07            21         15541        5033.3      1.676e+05        0           56210 
    {'sd'                }       0.34847       0.37861         29.967        1.0848       0.54567       0.56949     2.2204e-16        0        0.033927 
    {'coefofvar'         }        2.6381       0.59754       -0.50178       0.54639       0.76569        2.4943     2.2204e-16      NaN         0.20814 
    {'gini'              }        0.7705        0.3109       -0.25126         0.268       0.36259       0.84016              0      NaN         0.11765 
    {'min'               }             0      0.036717        -615.77             1      0.038108             0      0.0070076        0        0.036506 
    {'max'               }        145.08        10.204        -3.7499             6        13.784        10.368              1        0         0.25228 
    {'pYis0'             }       0.10805             0              0             0             0       0.52499              0        1               0 
    {'pYls0'             }             0             0              1             0             0             0              0        0               0 
    {'pYgr0'             }       0.89195             1              0             1             1       0.47501              1        0               1 
    {'pYisMINY'          }       0.10805    1.3288e-05     5.8837e-08       0.41786    2.5312e-05       0.52499              0        1      1.3288e-05 
    {'pYisMAXY'          }             0             0              0     0.0060544             0    3.9814e-08              1        1               0 
    {'p0_01'             }             0      0.047727        -352.03             1      0.046651             0              1        0        0.043635 
    {'p10'               }             0       0.24819        -96.425             1       0.23528             0              1        0         0.11668 
    {'p25'               }      0.012214       0.36957        -70.656             1       0.35258             0              1        0         0.14062 
    {'p50'               }      0.032959       0.55272        -52.866             2       0.56523             0              1        0         0.16445 
    {'p75'               }      0.076248       0.80075        -39.739             3       0.90612       0.24502              1        0         0.18866 
    {'p90'               }        0.4782        1.1197        -31.147             4        1.3579       0.84753              1        0         0.20586 
    {'p99_99'            }        5.4534        3.6548        -10.999             6        6.8484        8.2655              1        0         0.24529 
    {'fl_cov_ap_ss'      }       0.12143      0.055156         2.4756       0.02663      0.050357       0.18246     7.6315e-33        0       0.0057593 
    {'fl_cor_ap_ss'      }             1       0.41805        0.23707      0.070443       0.26483       0.91943     9.8628e-17      NaN         0.48714 
    {'fl_cov_c_ss'       }      0.055156       0.14335         8.0725      0.076682       0.18653      0.071672     1.7081e-32        0        0.011163 
    {'fl_cor_c_ss'       }       0.41805             1         0.7115        0.1867       0.90288       0.33241     2.0318e-16      NaN         0.86903 
    {'fl_cov_v_ss'       }        2.4756        8.0725            898       0.45095         10.05        3.4951    -2.0646e-31        0         0.86319 
    {'fl_cor_v_ss'       }       0.23707        0.7115              1      0.013872       0.61462        0.2048    -3.1028e-17      NaN         0.84902 
    {'fl_cov_n_ss'       }       0.02663      0.076682        0.45095        1.1768     -4.12e-18       0.13323     3.5437e-31        0        0.007516 
    {'fl_cor_n_ss'       }      0.070443        0.1867       0.013872             1     -6.96e-18       0.21565     1.4712e-15      NaN         0.20421 
    {'fl_cov_y_head_inc' }      0.050357       0.18653          10.05     -4.12e-18       0.29776      0.010455     6.4579e-33        0         0.01319 
    {'fl_cor_y_head_inc' }       0.26483       0.90288        0.61462     -6.96e-18             1      0.033645     5.3299e-17      NaN         0.71249 
    {'fl_cov_y_spouse'   }       0.18246      0.071672         3.4951       0.13323      0.010455       0.32432      2.907e-33        0        0.008688 
    {'fl_cor_y_spouse'   }       0.91943       0.33241         0.2048       0.21565      0.033645             1     2.2988e-17      NaN         0.44966 
    {'fl_cov_yshr_wage'  }    7.6315e-33    1.7081e-32    -2.0646e-31    3.5437e-31    6.4579e-33     2.907e-33     4.9304e-32        0      1.5152e-33 
    {'fl_cor_yshr_wage'  }    9.8628e-17    2.0318e-16    -3.1028e-17    1.4712e-15    5.3299e-17    2.2988e-17              1      NaN      2.0113e-16 
    {'fl_cov_yshr_SS'    }             0             0              0             0             0             0              0        0               0 
    {'fl_cor_yshr_SS'    }           NaN           NaN            NaN           NaN           NaN           NaN            NaN      NaN             NaN 
    {'fl_cov_yshr_nttxss'}     0.0057593      0.011163        0.86319      0.007516       0.01319      0.008688     1.5152e-33        0       0.0011511 
    {'fl_cor_yshr_nttxss'}       0.48714       0.86903        0.84902       0.20421       0.71249       0.44966     2.0113e-16      NaN               1 
    {'fracByP0_01'       }             0    7.1734e-06     0.00073274       0.21046     7.788e-06             0              1      NaN      2.6212e-05 
    {'fracByP10'         }             0      0.030664        0.21367       0.21046      0.027495             0              1      NaN        0.064588 
    {'fracByP25'         }     0.0067284       0.10372         0.4286       0.21046      0.092606             0              1      NaN         0.18114 
    {'fracByP50'         }      0.046851       0.29072        0.67444       0.53024       0.26377             0              1      NaN         0.41565 
    {'fracByP75'         }       0.13176       0.54795        0.87012       0.77109        0.5245       0.12959              1      NaN         0.69442 
    {'fracByP90'         }       0.35932       0.76949        0.95644       0.92834       0.74403       0.33886              1      NaN         0.86745 
    {'fracByP99_99'      }       0.99576       0.99938        0.99998             1       0.99912       0.99627              1      NaN         0.99987 
age =59
xxx tb_outcomes: all stats xxx
    OriginalVariableNames       ap_ss          c_ss          v_ss          n_ss       y_head_inc     y_spouse      yshr_wage     yshr_SS    yshr_nttxss
    ______________________    __________    __________    ___________    _________    __________    __________    ___________    _______    ___________

    {'mean'              }        9.6978        1.2003        -27.032       1.7239        1.6127       0.44918        0.82696        0          0.19547
    {'unweighted_sum'    }    1.1254e+07    1.0744e+06    -5.7273e+06           21         45380        9578.2     1.9048e+05        0            60191
    {'sd'                }        9.5091       0.76817          15.51      0.90777         1.276         1.113         0.1007        0         0.030398
    {'coefofvar'         }       0.98054          0.64       -0.57376      0.52659       0.79122        2.4779        0.12177      NaN          0.15551
    {'gini'              }       0.47956       0.33158       -0.29874      0.23461       0.38177       0.83796       0.067579      NaN         0.085735
    {'min'               }             0       0.05663        -230.76            1      0.059541             0       0.010906        0         0.048895
    {'max'               }        158.47        12.271         -1.694            6         23.47        20.112              1        0          0.25475
    {'pYis0'             }      0.004589             0              0            0             0       0.52499              0        1                0
    {'pYls0'             }             0             0              1            0             0             0              0        0                0
    {'pYgr0'             }       0.99541             1              0            1             1       0.47501              1        0                1
    {'pYisMINY'          }      0.004589    9.8045e-06     2.9682e-09      0.48835     9.869e-06       0.52499      1.567e-37        1       9.8045e-06
    {'pYisMAXY'          }    9.1885e-09    2.1301e-11     5.3537e-07    0.0036816    1.4932e-06    3.6378e-08      0.0054726        1       9.1885e-09
    {'p0_01'             }             0       0.07838        -123.12            1       0.08341             0        0.31258        0         0.060305
    {'p10'               }        1.2229       0.40584        -47.779            1       0.49527             0        0.69171        0          0.15301
    {'p25'               }         3.196        0.6516        -33.261            1       0.77993             0        0.76737        0          0.17828
    {'p50'               }        7.0976        1.0499        -23.135            2        1.2719             0        0.83981        0          0.20062
    {'p75'               }        13.089         1.547        -16.274            2        2.0397       0.48062        0.90058        0          0.21858
    {'p90'               }        21.159        2.1475        -11.776            3        3.1029        1.7714        0.94727        0          0.22967
    {'p99_99'            }        112.62        8.4781        -2.7295            6        15.937        16.033              1        0          0.25158
    {'fl_cov_ap_ss'      }        90.423        6.9267         101.69      0.81683        10.484        2.2203       -0.53029        0          0.19504
    {'fl_cor_ap_ss'      }             1       0.94827        0.68949     0.094628       0.86408       0.20978       -0.55378      NaN          0.67474
    {'fl_cov_c_ss'       }        6.9267       0.59008          8.839      0.23092       0.85409       0.24459      -0.034916        0         0.017838
    {'fl_cor_c_ss'       }       0.94827             1        0.74189      0.33116       0.87137       0.28607       -0.45137      NaN          0.76393
    {'fl_cov_v_ss'       }        101.69         8.839         240.55       2.5586        13.062        3.6105       -0.87809        0          0.43624
    {'fl_cor_v_ss'       }       0.68949       0.74189              1      0.18173       0.66001       0.20915       -0.56221      NaN          0.92529
    {'fl_cov_n_ss'       }       0.81683       0.23092         2.5586      0.82404      0.055266       0.27625      0.0021706        0        0.0074857
    {'fl_cor_n_ss'       }      0.094628       0.33116        0.18173            1      0.047713       0.27342       0.023745      NaN          0.27128
    {'fl_cov_y_head_inc' }        10.484       0.85409         13.062     0.055266        1.6281        0.1162      -0.036142        0         0.026908
    {'fl_cor_y_head_inc' }       0.86408       0.87137        0.66001     0.047713             1       0.08182       -0.28128      NaN          0.69373
    {'fl_cov_y_spouse'   }        2.2203       0.24459         3.6105      0.27625        0.1162        1.2388       0.021749        0         0.013251
    {'fl_cor_y_spouse'   }       0.20978       0.28607        0.20915      0.27342       0.08182             1        0.19404      NaN          0.39167
    {'fl_cov_yshr_wage'  }      -0.53029     -0.034916       -0.87809    0.0021706     -0.036142      0.021749       0.010141        0      -0.00088567
    {'fl_cor_yshr_wage'  }      -0.55378      -0.45137       -0.56221     0.023745      -0.28128       0.19404              1      NaN         -0.28933
    {'fl_cov_yshr_SS'    }             0             0              0            0             0             0              0        0                0
    {'fl_cor_yshr_SS'    }           NaN           NaN            NaN          NaN           NaN           NaN            NaN      NaN              NaN
    {'fl_cov_yshr_nttxss'}       0.19504      0.017838        0.43624    0.0074857      0.026908      0.013251    -0.00088567        0       0.00092402
    {'fl_cor_yshr_nttxss'}       0.67474       0.76393        0.92529      0.27128       0.69373       0.39167       -0.28933      NaN                1
    {'fracByP0_01'       }             0     6.875e-06     0.00049633      0.28329    5.7641e-06             0     3.3845e-05      NaN       3.3901e-05
    {'fracByP10'         }     0.0057779      0.026049        0.23158      0.28329      0.022494             0       0.075685      NaN         0.067703
    {'fracByP25'         }      0.040074      0.091752        0.44951      0.28329      0.082256             0        0.20868      NaN          0.19721
    {'fracByP50'         }       0.16977       0.26933        0.70658      0.72028       0.24076             0        0.45226      NaN          0.43979
    {'fracByP75'         }       0.42173       0.53549        0.88743      0.72028       0.48935       0.13542        0.71508      NaN          0.70745
    {'fracByP90'         }       0.67785       0.76094        0.96591      0.85389       0.72071       0.34015        0.88243      NaN          0.87932
    {'fracByP99_99'      }       0.99869       0.99925        0.99999            1       0.99889       0.99665              1      NaN          0.99987
age =100
xxx tb_outcomes: all stats xxx
    OriginalVariableNames     ap_ss       c_ss          v_ss          n_ss       y_head_inc      y_spouse     yshr_wage       yshr_SS      yshr_nttxss
    ______________________    _____    __________    __________    __________    ___________    __________    __________    ___________    ___________

    {'mean'              }       0        0.33019       -4.3147        1.4797         0.2355       0.09988       0.16682        0.82877      -0.71014 
    {'unweighted_sum'    }       0     1.2179e+05       -3630.5            21         209.83          33.1        829.27         920.29        -278.4 
    {'sd'                }       0        0.23351        1.1931       0.50567       0.021892        0.2444       0.22834        0.22976       0.24998 
    {'coefofvar'         }     NaN         0.7072      -0.27653       0.34173       0.092957        2.4469        1.3688        0.27723      -0.35202 
    {'gini'              }     NaN         0.2934      -0.14462       0.12034       0.043711       0.78724       0.72654       0.076067      -0.18079 
    {'min'               }       0        0.19737       -12.197             1           0.22             0             0       0.027298      -0.89715 
    {'max'               }       0         141.61    -0.0071775             6          5.666        3.0753       0.92039              1       0.21502 
    {'pYis0'             }       1              0             0             0              0       0.52499       0.52499              0             0 
    {'pYls0'             }       0              0             1             0              0             0             0              0       0.99419 
    {'pYgr0'             }       0              1             0             1              1       0.47501       0.47501              1     0.0058068 
    {'pYisMINY'          }       1        0.35707    1.4848e-10        0.5232        0.50347       0.52499       0.52499              0       0.35707 
    {'pYisMAXY'          }       1              0             0    4.2206e-08              0    1.0335e-08    5.1171e-09        0.47283             0 
    {'p0_01'             }       0        0.19737        -8.038             1           0.22             0             0       0.083406      -0.89715 
    {'p10'               }       0        0.19737       -5.0665             1           0.22             0             0        0.31238      -0.89715 
    {'p25'               }       0        0.19737       -5.0665             1           0.22             0             0        0.67484      -0.89715 
    {'p50'               }       0        0.23607       -5.0103             1           0.22             0             0        0.98843      -0.88228 
    {'p75'               }       0        0.34876       -3.7889             2          0.266       0.10166       0.31605              1       -0.5514 
    {'p90'               }       0        0.58892       -2.3842             2        0.26656       0.48427       0.68079              1      -0.14859 
    {'p99_99'            }       0         2.8508      -0.49608             4        0.31126        2.9082        0.9162              1       0.14044 
    {'fl_cov_ap_ss'      }       0              0             0             0              0             0             0              0             0 
    {'fl_cor_ap_ss'      }     NaN            NaN           NaN           NaN            NaN           NaN           NaN            NaN           NaN 
    {'fl_cov_c_ss'       }       0       0.054526       0.22623      0.059682      0.0015233      0.050691      0.040339      -0.041495      0.045639 
    {'fl_cor_c_ss'       }     NaN              1         0.812       0.50545          0.298       0.88823       0.75656       -0.77343       0.78185 
    {'fl_cov_v_ss'       }       0        0.22623        1.4236       0.21735       0.011521       0.18354       0.19022       -0.19728       0.21697 
    {'fl_cor_v_ss'       }     NaN          0.812             1       0.36026        0.44106       0.62943       0.69819       -0.71963       0.72746 
    {'fl_cov_n_ss'       }       0       0.059682       0.21735        0.2557      0.0018733      0.052581      0.087809      -0.089315      0.096294 
    {'fl_cor_n_ss'       }     NaN        0.50545       0.36026             1        0.16923       0.42546       0.76049       -0.76875       0.76178 
    {'fl_cov_y_head_inc' }       0      0.0015233      0.011521     0.0018733     0.00047925    0.00064761    0.00068213    -0.00073742    0.00089018 
    {'fl_cor_y_head_inc' }     NaN          0.298       0.44106       0.16923              1       0.12104       0.13646       -0.14661       0.16266 
    {'fl_cov_y_spouse'   }       0       0.050691       0.18354      0.052581     0.00064761      0.059731      0.043248       -0.04328       0.04769 
    {'fl_cor_y_spouse'   }     NaN        0.88823       0.62943       0.42546        0.12104             1       0.77497       -0.77074       0.78059 
    {'fl_cov_yshr_wage'  }       0       0.040339       0.19022      0.087809     0.00068213      0.043248      0.052139      -0.052399      0.057004 
    {'fl_cor_yshr_wage'  }     NaN        0.75656       0.69819       0.76049        0.13646       0.77497             1       -0.99878       0.99865 
    {'fl_cov_yshr_SS'    }       0      -0.041495      -0.19728     -0.089315    -0.00073742      -0.04328     -0.052399        0.05279     -0.057419 
    {'fl_cor_yshr_SS'    }     NaN       -0.77343      -0.71963      -0.76875       -0.14661      -0.77074      -0.99878              1       -0.9997 
    {'fl_cov_yshr_nttxss'}       0       0.045639       0.21697      0.096294     0.00089018       0.04769      0.057004      -0.057419      0.062491 
    {'fl_cor_yshr_nttxss'}     NaN        0.78185       0.72746       0.76178        0.16266       0.78059       0.99865        -0.9997             1 
    {'fracByP0_01'       }     NaN        0.21345    0.00043423       0.35357        0.47033             0             0     1.2624e-05       0.45111 
    {'fracByP10'         }     NaN        0.21345       0.51425       0.35357        0.47033             0             0       0.038453       0.45111 
    {'fracByP25'         }     NaN        0.21345       0.51425       0.35357        0.47033             0             0        0.15496       0.45111 
    {'fracByP50'         }     NaN        0.33309        0.6114       0.35357        0.47033             0             0        0.39906       0.63258 
    {'fracByP75'         }     NaN        0.53778        0.8525       0.99419        0.87579       0.19248       0.37577              1        0.8934 
    {'fracByP90'         }     NaN        0.74393       0.95864       0.99419         0.8936       0.62777       0.58886              1       0.98752 
    {'fracByP99_99'      }     NaN        0.99922       0.99999       0.99999        0.99991        0.9996       0.99995              1             1