Assets and Demographic Distributions with Grid Search

Fan Wang

2020-08-07

1 Distribution Grid Search

This is the example vignette for function: snw_ds_main_grid_search from the PrjOptiSNW Package. This function solves for vfi and gets distribution induced by policy functions and exogenous distributions. Grid Search for VFI and Grid Search also for Distribution. The results are illustrative of the differences between using grid search and exact solution. The grid search solution here is not fully vectorized but loops over the state-space.

1.1 Test SNW_DS_MAIN_GRID_SEARCH Defaults More Dense

Rather than solving for "docdense", this solves for "moredense", which has fewer shocks, in order to save time given the relatively slow speed of this algorithm.

mp_params = snw_mp_param('default_moredense');
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_grid_search(mp_params, mp_controls);

Elapsed time is 13045.688258 seconds.
Completed SNW_VFI_MAIN_GRID_SEARCH;SNW_MP_PARAM=default_moredense;SNW_MP_CONTROL=default_test
Elapsed time is 13841.078692 seconds.
Completed SNW_DS_MAIN;SNW_MP_PARAM=;default_moredense;SNW_MP_CONTROL=;default_test

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               4.2955          5130.2        8.2965      1.9314     0.74079           0        135    0.17669          0    0.82331       0.17669     1.677e-05           0           0           0           0           0         0.005      0.02916      0.08788     0.48668        1.08      2.0261     3.8934           5       6.655     12.031     18.982     38.812     83.886     124.49        68.832              1        169.22          0.79723           5.4878           0.64966          90.469         0.30584        -1.6403       -0.13754         7.6543         0.48605             6.9504              0.54255               4.0118               0.33952                0.70393               0.088346                 0.91831                 0.62603             -0.89966             -0.3189           -0.018657        -0.0094705           0.12551            0.3732              0.14417              0.067175                  0              0             0            0            0    1.5597e-05    0.00022606    0.00089584    0.0081262    0.026878     0.060803      0.13621       0.1847        0.25364     0.46061       0.6383       0.8679       0.97776        0.99771   
    ap_ss              33.948           11476        25.584     0.75362     0.43382           1        151          0          0          1       0.15798    1.7142e-05           1           1           1           1           1             8           12           16          25          32          39         47          51          56         68         79        101        129        147        169.22        0.79723        654.55                1           15.647           0.60069          461.86         0.50632        -5.5483       -0.15086         24.721         0.50905             18.689              0.47308                11.25               0.30875                 6.0319                0.24549                   3.107                 0.68685              -3.2642            -0.37521             0.15724          0.025884           0.56121           0.54115              0.40397               0.06104          0.0046534      0.0046534     0.0046534    0.0046534    0.0046534       0.01423      0.031165       0.04751      0.11424     0.20219      0.30025      0.42648      0.49468        0.57582     0.75649      0.86708      0.96885       0.99614        0.99966   
    cons_ss            1.1795       1.585e+07        1.0182     0.86318     0.40848    0.035637     141.61          0          0          1    3.0983e-05             0    0.037518    0.058059     0.13195     0.20704     0.29751       0.45489      0.53136      0.59609     0.74671     0.93671      1.1221     1.3247       1.506      1.7054     2.3137     2.9636     5.0656     8.8504       13.2        5.4878        0.64966        15.647          0.60069           1.0367                 1          18.773         0.51714        0.27084        0.18505         1.6205          0.8385             1.3917              0.88524               1.1772               0.81185                 0.2288                0.23399                0.040872                 0.22705            0.0080755            0.023325           -0.048948          -0.20246          0.029439           0.71332             0.078387               0.29763         3.2355e-06      4.235e-05    0.00089463    0.0069862     0.017834      0.048847      0.069863      0.093865      0.15005     0.22192      0.30887      0.41249      0.47227        0.54049     0.70619      0.81633      0.94259       0.99077        0.99878   
    v_ss               -19.79     -1.1145e+07        35.654     -1.8016      -0.774     -868.79     25.518          0    0.76333    0.23667    1.7108e-07             0     -578.12     -344.11     -159.98     -78.096     -53.698       -32.997      -26.988      -22.091     -15.894     -10.381     -5.9826    -2.3214    -0.46619      1.2804     6.6006     10.396      16.17     20.536     22.661        90.469        0.30584        461.86          0.50632           18.773           0.51714          1271.2               1       -0.14874      -0.002902         28.123         0.41555             22.807              0.41427               18.742               0.36909                 5.3163                0.15526                  1.6881                 0.26778               -2.042            -0.16842             0.35388            0.0418            1.0385           0.71854              0.68459              0.074226          0.0033094       0.022206       0.12039       0.3365      0.49989       0.71355       0.78873       0.85054      0.94479      1.0111       1.0516       1.0726       1.0761         1.0751      1.0559       1.0349       1.0093        1.0011         1.0001   
    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       -1.6403       -0.13754       -5.5483         -0.15086          0.27084           0.18505        -0.14874       -0.002902         2.0664              1        0.39182          0.1436            0.12359             0.055682              0.22895               0.11183                0.26823                0.19429               -0.062353                -0.24533              0.16535             0.33827              -0.103          -0.30175          0.014511           0.24904              0.11751               0.31601            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              1.6272      2.3969e+07        1.8982      1.1665     0.50121    0.038108     50.873          0          0          1    4.0601e-05    7.3335e-16    0.038151    0.061237      0.1319     0.22767      0.2886       0.44842      0.50691      0.60566     0.80577      1.0126      1.3251     1.7489      2.0211      2.3485     3.6089     4.9275      9.501     17.796     24.506        7.6543        0.48605        24.721          0.50905           1.6205            0.8385          28.123         0.41555        0.39182         0.1436          3.603               1             2.5324              0.86404               2.2672               0.83867                 1.0705                0.58726               -0.015449               -0.046034              0.13194             0.20442            -0.11649          -0.25847          0.054695           0.71087              0.17119               0.34865         2.6801e-06     3.2013e-05    0.00060797    0.0055486     0.013576       0.03613      0.050758      0.067947      0.11088     0.16697      0.23812      0.33145      0.38922        0.45564     0.63283      0.76065      0.91905       0.98689         0.9983   
    y_head_inc         1.2682      5.6172e+05        1.5441      1.2175     0.50432    0.038108     24.357          0          0          1      8.94e-05    2.2222e-12    0.038121    0.059507     0.11754        0.22     0.25512       0.35313      0.41619      0.46744     0.60132     0.77648     0.99263     1.2992      1.5088      1.8199      2.754     4.0057     7.8371     15.635     22.259        6.9504        0.54255        18.689          0.47308           1.3917           0.88524          22.807         0.41427        0.12359       0.055682         2.5324         0.86404             2.3842                    1               2.1394               0.97283                 0.1482                0.09994              -0.0010249              -0.0037543             0.088648             0.16884           -0.087623          -0.23899          0.039902           0.63752              0.12753               0.31927         3.0788e-06      3.918e-05    0.00070589    0.0071821     0.015548      0.039481      0.054743       0.07211      0.11442     0.16777      0.23785      0.32668      0.38163        0.44717     0.62053      0.75035       0.9146       0.98531        0.99823   
    y_head_earn        1.0492          2628.2        1.4242      1.3574     0.60462           0     18.957     0.2016          0     0.7984        0.2016    1.6322e-05           0           0           0           0           0             0      0.21208      0.28802     0.45292     0.63834     0.87563     1.1786      1.3139      1.6863     2.4792     3.4783     6.7965     13.393      18.87        4.0118        0.33952         11.25          0.30875           1.1772           0.81185          18.742         0.36909        0.22895        0.11183         2.2672         0.83867             2.1394              0.97283               2.0284                     1                0.12786               0.093478               -0.048865                -0.19405              0.15439              0.3188            -0.10553          -0.31205          0.036066           0.62473               0.1416               0.38434                  0              0             0            0            0             0     0.0068797      0.018794     0.055527     0.10624      0.18008      0.27111      0.33076        0.40323     0.59177      0.73532      0.91019       0.98496        0.99824   
    y_spouse_inc      0.35895           55552       0.96039      2.6755     0.85307           0     26.627    0.52499          0    0.47501       0.52499    2.5851e-08           0           0           0           0           0             0            0            0           0           0     0.10017    0.26218     0.35687     0.45946    0.89154     1.9919     3.4279     12.932     18.254       0.70393       0.088346        6.0319          0.24549           0.2288           0.23399          5.3163         0.15526        0.26823        0.19429         1.0705         0.58726             0.1482              0.09994              0.12786              0.093478                0.92235                      1               -0.014424               -0.084947             0.043296             0.13258           -0.028871          -0.12661          0.014793              0.38             0.043665               0.17576                  0              0             0            0            0             0             0             0            0           0       0.0126     0.062591      0.10477        0.16187     0.32942      0.52389      0.80891       0.95752        0.99463   
    yshr_interest     0.11509      1.0971e+06       0.17681      1.5363     0.70728           0    0.99299    0.17669          0    0.82331       0.17669             0           0           0           0           0           0    0.00034656    0.0014404    0.0043378    0.016262    0.036974    0.069324    0.11602     0.14764     0.18666    0.36187    0.54751    0.78696    0.90637    0.94594       0.91831        0.62603         3.107          0.68685         0.040872           0.22705          1.6881         0.26778      -0.062353       -0.24533      -0.015449       -0.046034         -0.0010249           -0.0037543            -0.048865              -0.19405              -0.014424              -0.084947                0.031261                       1            -0.045253            -0.75269            0.013992           0.33329        0.00017417          0.024303            -0.013818              -0.30213                  0              0             0            0            0    3.5116e-05    0.00044852     0.0015728    0.0099007    0.032245     0.077356      0.15667      0.21343        0.28554     0.50641      0.70286      0.92753       0.99247        0.99922   
    yshr_wage         0.78433      2.4004e+06       0.34004     0.43354     0.19505           0          1    0.10584          0    0.89416       0.10584       0.16474           0           0           0           0           0       0.66775      0.79648      0.85009     0.91523     0.95563     0.98025    0.99421     0.99808     0.99931          1          1          1          1          1      -0.89966        -0.3189       -3.2642         -0.37521        0.0080755          0.023325          -2.042        -0.16842        0.16535        0.33827        0.13194         0.20442           0.088648              0.16884              0.15439                0.3188               0.043296                0.13258               -0.045253                -0.75269              0.11563                   1           -0.070374          -0.87159         0.0042705           0.30982             0.074645               0.84861                  0              0             0            0            0      0.035791      0.083368       0.13604      0.24884     0.36832      0.49202      0.61783      0.68255        0.74508           1            1            1             1              1   
    yshr_SS           0.10058           67295       0.23745      2.3608     0.91583           0          1     0.7984          0     0.2016        0.7984      0.011384           0           0           0           0           0             0            0            0           0           0           0          0           0    0.064316    0.44428    0.73703          1          1          1     -0.018657     -0.0094705       0.15724         0.025884        -0.048948          -0.20246         0.35388          0.0418         -0.103       -0.30175       -0.11649        -0.25847          -0.087623             -0.23899             -0.10553              -0.31205              -0.028871               -0.12661                0.013992                 0.33329            -0.070374            -0.87159            0.056382                 1        -0.0044446          -0.46178            -0.060827              -0.99029                  0              0             0            0            0             0             0             0            0           0            0            0            0     0.00075224     0.26218      0.55049            1             1              1   
    yshr_tax          0.17694      7.7853e+05      0.040535     0.22909     0.13026    0.036506     0.2552          0          0          1    4.0601e-05    7.3335e-16    0.036534    0.049776    0.078725     0.10457     0.11678       0.14017      0.14669      0.15604     0.17053     0.18149     0.19343    0.20451     0.20975     0.21479    0.22704    0.23403    0.24445    0.25038    0.25236       0.12551         0.3732       0.56121          0.54115         0.029439           0.71332          1.0385         0.71854       0.014511        0.24904       0.054695         0.71087           0.039902              0.63752             0.036066               0.62473               0.014793                   0.38              0.00017417                0.024303            0.0042705             0.30982          -0.0044446          -0.46178         0.0016431                 1            0.0060877               0.58058         2.3605e-05     0.00025267     0.0037388     0.025936     0.057632       0.13025       0.17077       0.21364      0.30586     0.40559      0.51149       0.6239       0.6824        0.74231     0.86704      0.93211      0.98602       0.99858        0.99986   
    yshr_nttxss      0.076363      7.1123e+05       0.25868      3.3875      1.4024    -0.89715     0.2552          0    0.17087    0.82913      0.009143    7.3335e-16    -0.89715    -0.89715     -0.8962    -0.61179    -0.29346      0.077936      0.11669       0.1362     0.15918     0.17664     0.18966    0.20271     0.20872     0.21386    0.22679    0.23384    0.24445    0.25038    0.25236       0.14417       0.067175       0.40397          0.06104         0.078387           0.29763         0.68459        0.074226        0.11751        0.31601        0.17119         0.34865            0.12753              0.31927               0.1416               0.38434               0.043665                0.17576               -0.013818                -0.30213             0.074645             0.84861           -0.060827          -0.99029         0.0060877           0.58058             0.066914                     1           -0.10742       -0.10742      -0.12178      -0.5294     -0.81112       -0.9277        -0.862      -0.77941     -0.58645    -0.36551     -0.12657      0.13054       0.2659        0.40362     0.69209      0.84273       0.9676       0.99671        0.99967   

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
    _____    _______    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________

       1           0    1.7754e-05    0.00011362    0.00037708    0.00061913    0.00056244    0.00033244    0.00011597    1.9823e-05    1.6988e-06    0.00031138     0.0019928     0.0066135      0.010859     0.0098645     0.0058306      0.002034    0.00034768    2.9794e-05    0.00079406     0.0050817      0.016865      0.027691      0.025155      0.014869     0.0051868    0.00088661    7.5978e-05    0.00031138     0.0019928     0.0066135      0.010859     0.0098645     0.0058306      0.002034    0.00034768    2.9794e-05    1.7754e-05    0.00011362    0.00037708    0.00061913    0.00056244    0.00033244    0.00011597    1.9823e-05    1.6988e-06
       2       4e-05    2.8763e-07    1.3442e-06    4.0195e-06    3.6795e-07    6.5205e-06    1.2822e-06    2.0438e-08    3.2978e-09    8.1009e-12    5.0447e-06    2.3576e-05    7.0498e-05    6.4534e-06    0.00011436    2.2487e-05    3.5845e-07     5.784e-08    1.4208e-10    1.2864e-05    6.0121e-05    0.00017978    1.6457e-05    0.00029163    5.7345e-05    9.1409e-07     1.475e-07    3.6232e-10    5.0447e-06    2.3576e-05    7.0498e-05    6.4534e-06    0.00011436    2.2487e-05    3.5845e-07     5.784e-08    1.4208e-10    2.8763e-07    1.3442e-06    4.0195e-06    3.6795e-07    6.5205e-06    1.2822e-06    2.0438e-08    3.2978e-09    8.1009e-12
       3     0.00032    8.5896e-07    2.1837e-06    1.5288e-05    9.7352e-06    3.0233e-05    2.2281e-06    7.9033e-08    1.9277e-08    9.9394e-11    1.5065e-05    3.8299e-05    0.00026813    0.00017074    0.00053026    3.9077e-05    1.3861e-06     3.381e-07    1.7433e-09    3.8418e-05    9.7666e-05    0.00068375    0.00043541     0.0013522    9.9651e-05    3.5348e-06    8.6219e-07    4.4454e-09    1.5065e-05    3.8299e-05    0.00026813    0.00017074    0.00053026    3.9077e-05    1.3861e-06     3.381e-07    1.7433e-09    8.5896e-07    2.1837e-06    1.5288e-05    9.7352e-06    3.0233e-05    2.2281e-06    7.9033e-08    1.9277e-08    9.9394e-11
       4     0.00108    2.4168e-06    6.6439e-06    8.5514e-06     8.806e-06    1.0167e-05     3.836e-06    3.4378e-07    1.7679e-07    9.3844e-10    4.2387e-05    0.00011653    0.00014998    0.00015445    0.00017832     6.728e-05    6.0295e-06    3.1007e-06    1.6459e-08    0.00010809    0.00029715    0.00038246    0.00039385    0.00045472    0.00017157    1.5376e-05    7.9071e-06    4.1972e-08    4.2387e-05    0.00011653    0.00014998    0.00015445    0.00017832     6.728e-05    6.0295e-06    3.1007e-06    1.6459e-08    2.4168e-06    6.6439e-06    8.5514e-06     8.806e-06    1.0167e-05     3.836e-06    3.4378e-07    1.7679e-07    9.3844e-10
       5     0.00256    7.7644e-07    6.7137e-06    3.5185e-05    3.6273e-05    1.2262e-05    6.4167e-06    5.2691e-07    3.3685e-07    6.7439e-09    1.3618e-05    0.00011775    0.00061711    0.00063618    0.00021506    0.00011254    9.2413e-06    5.9079e-06    1.1828e-07    3.4727e-05    0.00030027     0.0015737     0.0016223    0.00054841    0.00028699    2.3566e-05    1.5066e-05    3.0162e-07    1.3618e-05    0.00011775    0.00061711    0.00063618    0.00021506    0.00011254    9.2413e-06    5.9079e-06    1.1828e-07    7.7644e-07    6.7137e-06    3.5185e-05    3.6273e-05    1.2262e-05    6.4167e-06    5.2691e-07    3.3685e-07    6.7439e-09
       6       0.005     1.615e-07    5.6988e-06    1.2805e-05    1.6079e-05    5.4165e-05    1.0241e-05    1.1273e-06    2.5143e-07    4.0193e-09    2.8325e-06    9.9951e-05    0.00022459      0.000282    0.00094998    0.00017961    1.9771e-05    4.4098e-06    7.0495e-08     7.223e-06    0.00025488    0.00057271    0.00071913     0.0024225    0.00045803    5.0417e-05    1.1245e-05    1.7977e-07    2.8325e-06    9.9951e-05    0.00022459      0.000282    0.00094998    0.00017961    1.9771e-05    4.4098e-06    7.0495e-08     1.615e-07    5.6988e-06    1.2805e-05    1.6079e-05    5.4165e-05    1.0241e-05    1.1273e-06    2.5143e-07    4.0193e-09
       7     0.00864    2.9022e-07    1.5618e-05    1.5907e-05    7.5335e-05    2.1309e-05    1.7692e-05     2.649e-06    2.9144e-07     7.431e-09    5.0901e-06    0.00027392    0.00027898     0.0013213    0.00037373    0.00031029     4.646e-05    5.1116e-06    1.3033e-07     1.298e-05    0.00069853    0.00071143     0.0033694    0.00095304    0.00079126    0.00011848    1.3035e-05    3.3236e-07    5.0901e-06    0.00027392    0.00027898     0.0013213    0.00037373    0.00031029     4.646e-05    5.1116e-06    1.3033e-07    2.9022e-07    1.5618e-05    1.5907e-05    7.5335e-05    2.1309e-05    1.7692e-05     2.649e-06    2.9144e-07     7.431e-09
       8     0.01372    9.2058e-08    2.2512e-06    1.6629e-05    2.2447e-05    0.00010906    1.9013e-05     5.201e-06    7.8157e-07    9.0321e-09    1.6146e-06    3.9483e-05    0.00029165    0.00039369     0.0019128    0.00033346     9.122e-05    1.3708e-05    1.5841e-07    4.1173e-06    0.00010068    0.00074372      0.001004     0.0048778    0.00085036    0.00023262    3.4956e-05    4.0396e-07    1.6146e-06    3.9483e-05    0.00029165    0.00039369     0.0019128    0.00033346     9.122e-05    1.3708e-05    1.5841e-07    9.2058e-08    2.2512e-06    1.6629e-05    2.2447e-05    0.00010906    1.9013e-05     5.201e-06    7.8157e-07    9.0321e-09
       9     0.02048     1.493e-07     5.139e-06     1.987e-05    2.7684e-05    1.8495e-05    2.0213e-05    4.9447e-06    3.7965e-07    2.1039e-08    2.6186e-06    9.0132e-05     0.0003485    0.00048554    0.00032438    0.00035451    8.6723e-05    6.6586e-06    3.6901e-07    6.6776e-06    0.00022985    0.00088871     0.0012382    0.00082721    0.00090403    0.00022115     1.698e-05    9.4099e-07    2.6186e-06    9.0132e-05     0.0003485    0.00048554    0.00032438    0.00035451    8.6723e-05    6.6586e-06    3.6901e-07     1.493e-07     5.139e-06     1.987e-05    2.7684e-05    1.8495e-05    2.0213e-05    4.9447e-06    3.7965e-07    2.1039e-08
      10     0.02916    2.2636e-07    2.1911e-06    2.2674e-05    4.0829e-05    5.6366e-05    5.2344e-05    8.8742e-06    5.9534e-07    1.0633e-07      3.97e-06     3.843e-05    0.00039767    0.00071609    0.00098859    0.00091805    0.00015564    1.0441e-05    1.8649e-06    1.0124e-05    9.7999e-05     0.0010141     0.0018261      0.002521     0.0023411     0.0003969    2.6627e-05    4.7558e-06      3.97e-06     3.843e-05    0.00039767    0.00071609    0.00098859    0.00091805    0.00015564    1.0441e-05    1.8649e-06    2.2636e-07    2.1911e-06    2.2674e-05    4.0829e-05    5.6366e-05    5.2344e-05    8.8742e-06    5.9534e-07    1.0633e-07
      11        0.04    3.6847e-07    3.2622e-06    3.5384e-05    3.9524e-05    3.7428e-05    6.0069e-05     6.175e-06    5.7528e-07      3.04e-08    6.4625e-06    5.7216e-05    0.00062059     0.0006932    0.00065645     0.0010535     0.0001083     1.009e-05    5.3318e-07     1.648e-05    0.00014591     0.0015826     0.0017677      0.001674     0.0026866    0.00027618     2.573e-05    1.3597e-06    6.4625e-06    5.7216e-05    0.00062059     0.0006932    0.00065645     0.0010535     0.0001083     1.009e-05    5.3318e-07    3.6847e-07    3.2622e-06    3.5384e-05    3.9524e-05    3.7428e-05    6.0069e-05     6.175e-06    5.7528e-07      3.04e-08
      12     0.05324    2.7682e-07    2.8958e-06    5.7484e-05    3.6034e-05     3.501e-05    4.0214e-05     9.433e-06    1.0451e-06    1.5748e-08     4.855e-06    5.0788e-05     0.0010082      0.000632    0.00061403     0.0007053    0.00016544     1.833e-05    2.7621e-07    1.2381e-05    0.00012951      0.002571     0.0016116     0.0015658     0.0017986    0.00042189    4.6744e-05    7.0435e-07     4.855e-06    5.0788e-05     0.0010082      0.000632    0.00061403     0.0007053    0.00016544     1.833e-05    2.7621e-07    2.7682e-07    2.8958e-06    5.7484e-05    3.6034e-05     3.501e-05    4.0214e-05     9.433e-06    1.0451e-06    1.5748e-08
      13     0.06912     3.353e-07    2.6767e-06    1.4572e-05    3.8273e-05     2.474e-05     2.563e-05    1.3972e-05    1.4305e-06    3.1196e-08    5.8808e-06    4.6946e-05    0.00025557    0.00067126    0.00043392    0.00044952    0.00024505    2.5089e-05    5.4714e-07    1.4997e-05    0.00011972    0.00065173     0.0017118     0.0011065     0.0011463    0.00062489    6.3979e-05    1.3953e-06    5.8808e-06    4.6946e-05    0.00025557    0.00067126    0.00043392    0.00044952    0.00024505    2.5089e-05    5.4714e-07     3.353e-07    2.6767e-06    1.4572e-05    3.8273e-05     2.474e-05     2.563e-05    1.3972e-05    1.4305e-06    3.1196e-08
      14     0.08788    3.0394e-07    2.2742e-06    1.4027e-05    3.4255e-05    3.7729e-05    1.5417e-05    5.5589e-06    1.1887e-06    4.6363e-08    5.3307e-06    3.9887e-05    0.00024601     0.0006008    0.00066172    0.00027039    9.7497e-05    2.0849e-05    8.1316e-07    1.3594e-05    0.00010172    0.00062735     0.0015321     0.0016874    0.00068952    0.00024863    5.3167e-05    2.0736e-06    5.3307e-06    3.9887e-05    0.00024601     0.0006008    0.00066172    0.00027039    9.7497e-05    2.0849e-05    8.1316e-07    3.0394e-07    2.2742e-06    1.4027e-05    3.4255e-05    3.7729e-05    1.5417e-05    5.5589e-06    1.1887e-06    4.6363e-08
      15     0.10976    2.5858e-07    1.9422e-06    1.2587e-05    3.4742e-05    2.7058e-05    2.4059e-05    3.9792e-06    1.2768e-06    4.7355e-08    4.5351e-06    3.4064e-05    0.00022076    0.00060933    0.00047456    0.00042197    6.9791e-05    2.2393e-05    8.3054e-07    1.1565e-05    8.6865e-05    0.00056295     0.0015538     0.0012102     0.0010761    0.00017797    5.7104e-05     2.118e-06    4.5351e-06    3.4064e-05    0.00022076    0.00060933    0.00047456    0.00042197    6.9791e-05    2.2393e-05    8.3054e-07    2.5858e-07    1.9422e-06    1.2587e-05    3.4742e-05    2.7058e-05    2.4059e-05    3.9792e-06    1.2768e-06    4.7355e-08
      16       0.135    2.7326e-07    1.9079e-06    1.2852e-05     3.438e-05    3.6783e-05    1.6552e-05    1.4835e-05    2.6985e-06    1.1356e-07    4.7927e-06    3.3462e-05    0.00022542    0.00060298    0.00064513    0.00029031    0.00026018    4.7329e-05    1.9918e-06    1.2222e-05    8.5331e-05    0.00057483     0.0015377     0.0016451    0.00074031    0.00066349    0.00012069    5.0792e-06    4.7927e-06    3.3462e-05    0.00022542    0.00060298    0.00064513    0.00029031    0.00026018    4.7329e-05    1.9918e-06    2.7326e-07    1.9079e-06    1.2852e-05     3.438e-05    3.6783e-05    1.6552e-05    1.4835e-05    2.6985e-06    1.1356e-07
      17     0.16384    2.7552e-07    1.9749e-06    1.5066e-05    3.5948e-05    3.0858e-05    2.8702e-05    5.0937e-06    1.2939e-06     1.366e-07    4.8324e-06    3.4637e-05    0.00026424    0.00063048    0.00054121     0.0005034    8.9338e-05    2.2694e-05    2.3958e-06    1.2323e-05    8.8326e-05    0.00067382     0.0016078     0.0013801     0.0012837    0.00022782    5.7871e-05    6.1094e-06    4.8324e-06    3.4637e-05    0.00026424    0.00063048    0.00054121     0.0005034    8.9338e-05    2.2694e-05    2.3958e-06    2.7552e-07    1.9749e-06    1.5066e-05    3.5948e-05    3.0858e-05    2.8702e-05    5.0937e-06    1.2939e-06     1.366e-07
      18     0.19652    3.0673e-07    2.1238e-06     2.128e-05     3.877e-05      3.75e-05    1.7398e-05    7.7674e-06    1.5731e-06     7.285e-08    5.3796e-06    3.7248e-05    0.00037323    0.00067998    0.00065771    0.00030513    0.00013623     2.759e-05    1.2777e-06    1.3718e-05    9.4986e-05    0.00095176      0.001734     0.0016772    0.00077812     0.0003474    7.0356e-05    3.2582e-06    5.3796e-06    3.7248e-05    0.00037323    0.00067998    0.00065771    0.00030513    0.00013623     2.759e-05    1.2777e-06    3.0673e-07    2.1238e-06     2.128e-05     3.877e-05      3.75e-05    1.7398e-05    7.7674e-06    1.5731e-06     7.285e-08
      19     0.23328    3.2755e-07    2.1478e-06    1.0054e-05    3.8731e-05    3.1329e-05    2.6872e-05    1.3415e-05    6.0912e-07     1.094e-07    5.7448e-06     3.767e-05    0.00017634    0.00067929    0.00054947    0.00047131    0.00023528    1.0683e-05    1.9187e-06     1.465e-05    9.6063e-05    0.00044969     0.0017323     0.0014012     0.0012019    0.00059998    2.7243e-05    4.8929e-06    5.7448e-06     3.767e-05    0.00017634    0.00067929    0.00054947    0.00047131    0.00023528    1.0683e-05    1.9187e-06    3.2755e-07    2.1478e-06    1.0054e-05    3.8731e-05    3.1329e-05    2.6872e-05    1.3415e-05    6.0912e-07     1.094e-07
      20     0.27436    3.5257e-07    2.2995e-06    1.0938e-05    4.2758e-05    4.3572e-05    1.8163e-05    1.1471e-05     9.285e-07    6.0774e-08    6.1836e-06    4.0331e-05    0.00019184    0.00074992     0.0007642    0.00031857    0.00020119    1.6285e-05    1.0659e-06    1.5769e-05    0.00010285    0.00048921     0.0019124     0.0019488    0.00081237    0.00051306    4.1527e-05    2.7181e-06    6.1836e-06    4.0331e-05    0.00019184    0.00074992     0.0007642    0.00031857    0.00020119    1.6285e-05    1.0659e-06    3.5257e-07    2.2995e-06    1.0938e-05    4.2758e-05    4.3572e-05    1.8163e-05    1.1471e-05     9.285e-07    6.0774e-08
      21        0.32    4.0641e-07    2.5518e-06    1.1635e-05    4.5919e-05     3.416e-05    3.1068e-05     6.508e-06    1.4016e-06    2.8248e-07     7.128e-06    4.4756e-05    0.00020406    0.00080536    0.00059913    0.00054489    0.00011414    2.4583e-05    4.9543e-06    1.8177e-05    0.00011413    0.00052038     0.0020537     0.0015278     0.0013895    0.00029107    6.2689e-05    1.2634e-05     7.128e-06    4.4756e-05    0.00020406    0.00080536    0.00059913    0.00054489    0.00011414    2.4583e-05    4.9543e-06    4.0641e-07    2.5518e-06    1.1635e-05    4.5919e-05     3.416e-05    3.1068e-05     6.508e-06    1.4016e-06    2.8248e-07
      22     0.37044    4.4361e-07    2.8814e-06    1.2784e-05     4.688e-05    4.9116e-05    2.2826e-05    1.2243e-05    2.9013e-06    1.0389e-07    7.7803e-06    5.0537e-05    0.00022422    0.00082222    0.00086144    0.00040033    0.00021472    5.0886e-05    1.8221e-06     1.984e-05    0.00012887    0.00057178     0.0020967     0.0021967     0.0010209    0.00054756    0.00012976    4.6466e-06    7.7803e-06    5.0537e-05    0.00022422    0.00082222    0.00086144    0.00040033    0.00021472    5.0886e-05    1.8221e-06    4.4361e-07    2.8814e-06    1.2784e-05     4.688e-05    4.9116e-05    2.2826e-05    1.2243e-05    2.9013e-06    1.0389e-07
      23     0.42592    4.7158e-07    3.2535e-06    1.3383e-05    5.1616e-05     4.104e-05    2.9579e-05    8.6872e-06    9.7304e-07    6.2715e-08     8.271e-06    5.7063e-05    0.00023472    0.00090528    0.00071979    0.00051878    0.00015236    1.7066e-05    1.0999e-06    2.1092e-05    0.00014552    0.00059856     0.0023085     0.0018355     0.0013229    0.00038854     4.352e-05     2.805e-06     8.271e-06    5.7063e-05    0.00023472    0.00090528    0.00071979    0.00051878    0.00015236    1.7066e-05    1.0999e-06    4.7158e-07    3.2535e-06    1.3383e-05    5.1616e-05     4.104e-05    2.9579e-05    8.6872e-06    9.7304e-07    6.2715e-08
      24     0.48668    5.1923e-07    3.4305e-06     1.432e-05    5.2283e-05    5.1981e-05    2.8417e-05    1.3112e-05    1.6062e-06    1.2067e-07    9.1067e-06    6.0167e-05    0.00025116    0.00091698    0.00091169    0.00049839    0.00022996     2.817e-05    2.1164e-06    2.3223e-05    0.00015343    0.00064048     0.0023384     0.0023249     0.0012709    0.00058642    7.1836e-05     5.397e-06    9.1067e-06    6.0167e-05    0.00025116    0.00091698    0.00091169    0.00049839    0.00022996     2.817e-05    2.1164e-06    5.1923e-07    3.4305e-06     1.432e-05    5.2283e-05    5.1981e-05    2.8417e-05    1.3112e-05    1.6062e-06    1.2067e-07
      25     0.55296     5.437e-07    3.6017e-06    1.5469e-05    5.6439e-05    5.2035e-05    3.2783e-05    9.0771e-06    2.0056e-06    6.7188e-08    9.5358e-06    6.3169e-05    0.00027131    0.00098988    0.00091263    0.00057497     0.0001592    3.5176e-05    1.1784e-06    2.4317e-05    0.00016109    0.00069187     0.0025243     0.0023273     0.0014662    0.00040598    8.9703e-05     3.005e-06    9.5358e-06    6.3169e-05    0.00027131    0.00098988    0.00091263    0.00057497     0.0001592    3.5176e-05    1.1784e-06     5.437e-07    3.6017e-06    1.5469e-05    5.6439e-05    5.2035e-05    3.2783e-05    9.0771e-06    2.0056e-06    6.7188e-08
      26       0.625    5.5347e-07    3.8425e-06    1.5479e-05    5.5965e-05    5.6994e-05    2.7605e-05    1.2764e-05    1.3082e-06    1.7745e-07    9.7072e-06    6.7393e-05    0.00027148    0.00098155     0.0009996    0.00048417    0.00022387    2.2945e-05    3.1124e-06    2.4754e-05    0.00017186    0.00069228      0.002503     0.0025491     0.0012347    0.00057089    5.8511e-05    7.9368e-06    9.7072e-06    6.7393e-05    0.00027148    0.00098155     0.0009996    0.00048417    0.00022387    2.2945e-05    3.1124e-06    5.5347e-07    3.8425e-06    1.5479e-05    5.5965e-05    5.6994e-05    2.7605e-05    1.2764e-05    1.3082e-06    1.7745e-07
      27     0.70304     5.568e-07    3.7614e-06    1.5095e-05    5.8432e-05    5.4503e-05    3.5853e-05    1.0157e-05    3.1603e-06     2.255e-07    9.7657e-06    6.5971e-05    0.00026475     0.0010248    0.00095591    0.00062881    0.00017814    5.5429e-05     3.955e-06    2.4903e-05    0.00016823    0.00067512     0.0026134     0.0024377     0.0016035    0.00045427    0.00014135    1.0086e-05    9.7657e-06    6.5971e-05    0.00026475     0.0010248    0.00095591    0.00062881    0.00017814    5.5429e-05     3.955e-06     5.568e-07    3.7614e-06    1.5095e-05    5.8432e-05    5.4503e-05    3.5853e-05    1.0157e-05    3.1603e-06     2.255e-07
      28     0.78732    5.7466e-07    3.7497e-06     1.502e-05    5.7903e-05    5.6109e-05    2.9314e-05    1.5137e-05    1.6956e-06    8.2675e-08    1.0079e-05    6.5764e-05    0.00026344     0.0010156    0.00098408    0.00051413    0.00026549    2.9739e-05      1.45e-06    2.5702e-05     0.0001677    0.00067179     0.0025897     0.0025095     0.0013111    0.00067703    7.5838e-05    3.6977e-06    1.0079e-05    6.5764e-05    0.00026344     0.0010156    0.00098408    0.00051413    0.00026549    2.9739e-05      1.45e-06    5.7466e-07    3.7497e-06     1.502e-05    5.7903e-05    5.6109e-05    2.9314e-05    1.5137e-05    1.6956e-06    8.2675e-08
      29     0.87808    5.7563e-07    3.8005e-06    1.4892e-05    5.6949e-05    5.3853e-05    3.2364e-05    8.6997e-06    1.9217e-06    1.2675e-07    1.0096e-05    6.6657e-05    0.00026118    0.00099881    0.00094452    0.00056763    0.00015258    3.3705e-05     2.223e-06    2.5745e-05    0.00016998    0.00066604     0.0025471     0.0024086     0.0014475     0.0003891     8.595e-05    5.6688e-06    1.0096e-05    6.6657e-05    0.00026118    0.00099881    0.00094452    0.00056763    0.00015258    3.3705e-05     2.223e-06    5.7563e-07    3.8005e-06    1.4892e-05    5.6949e-05    5.3853e-05    3.2364e-05    8.6997e-06    1.9217e-06    1.2675e-07
      30     0.97556    5.7132e-07    3.8705e-06    1.5095e-05    5.6906e-05    5.5758e-05    2.9176e-05    1.1682e-05    3.0846e-06    1.3525e-07     1.002e-05    6.7884e-05    0.00026474    0.00099806    0.00097793    0.00051171    0.00020488      5.41e-05    2.3721e-06    2.5553e-05    0.00017311    0.00067512     0.0025451     0.0024938     0.0013049    0.00052247    0.00013796    6.0489e-06     1.002e-05    6.7884e-05    0.00026474    0.00099806    0.00097793    0.00051171    0.00020488      5.41e-05    2.3721e-06    5.7132e-07    3.8705e-06    1.5095e-05    5.6906e-05    5.5758e-05    2.9176e-05    1.1682e-05    3.0846e-06    1.3525e-07
      31        1.08     5.726e-07    3.8645e-06    1.5349e-05    5.6413e-05    5.4339e-05    3.1568e-05    9.0865e-06    1.9476e-06    1.7256e-07    1.0043e-05    6.7779e-05    0.00026919    0.00098941    0.00095304    0.00055366    0.00015937    3.4159e-05    3.0265e-06     2.561e-05    0.00017284    0.00068647     0.0025231     0.0024303     0.0014119     0.0004064    8.7108e-05    7.7178e-06    1.0043e-05    6.7779e-05    0.00026919    0.00098941    0.00095304    0.00055366    0.00015937    3.4159e-05    3.0265e-06     5.726e-07    3.8645e-06    1.5349e-05    5.6413e-05    5.4339e-05    3.1568e-05    9.0865e-06    1.9476e-06    1.7256e-07
      32      1.1916    5.6625e-07    3.7872e-06     1.484e-05     5.448e-05    5.7108e-05    2.7934e-05    1.2906e-05    1.5706e-06    3.4358e-07    9.9314e-06    6.6423e-05    0.00026027    0.00095551     0.0010016    0.00048993    0.00022635    2.7546e-05     6.026e-06    2.5326e-05    0.00016938    0.00066371     0.0024366     0.0025542     0.0012494    0.00057721    7.0245e-05    1.5367e-05    9.9314e-06    6.6423e-05    0.00026027    0.00095551     0.0010016    0.00048993    0.00022635    2.7546e-05     6.026e-06    5.6625e-07    3.7872e-06     1.484e-05     5.448e-05    5.7108e-05    2.7934e-05    1.2906e-05    1.5706e-06    3.4358e-07
      33      1.3107    5.4238e-07    3.6971e-06    1.4269e-05    5.2724e-05    5.4906e-05    3.2967e-05    8.5976e-06    2.6598e-06    2.0486e-07    9.5127e-06    6.4842e-05    0.00025027    0.00092471    0.00096298     0.0005782    0.00015079     4.665e-05     3.593e-06    2.4258e-05    0.00016535    0.00063821     0.0023581     0.0024557     0.0014745    0.00038453    0.00011896    9.1624e-06    9.5127e-06    6.4842e-05    0.00025027    0.00092471    0.00096298     0.0005782    0.00015079     4.665e-05     3.593e-06    5.4238e-07    3.6971e-06    1.4269e-05    5.2724e-05    5.4906e-05    3.2967e-05    8.5976e-06    2.6598e-06    2.0486e-07
      34      1.4375    5.3278e-07    3.5724e-06    1.3626e-05    4.9663e-05    5.6325e-05    2.6723e-05    1.1993e-05    1.6339e-06    1.7386e-07    9.3443e-06    6.2656e-05    0.00023898    0.00087103    0.00098787    0.00046868    0.00021034    2.8657e-05    3.0493e-06    2.3829e-05    0.00015978    0.00060941     0.0022212     0.0025192     0.0011952    0.00053639    7.3078e-05    7.7759e-06    9.3443e-06    6.2656e-05    0.00023898    0.00087103    0.00098787    0.00046868    0.00021034    2.8657e-05    3.0493e-06    5.3278e-07    3.5724e-06    1.3626e-05    4.9663e-05    5.6325e-05    2.6723e-05    1.1993e-05    1.6339e-06    1.7386e-07
      35      1.5722    5.0996e-07     3.485e-06    1.3686e-05    4.6691e-05    5.5236e-05     3.069e-05    8.7119e-06    1.7098e-06    1.1834e-07    8.9441e-06    6.1124e-05    0.00024004    0.00081891    0.00096878    0.00053826     0.0001528    2.9989e-05    2.0755e-06    2.2808e-05    0.00015587    0.00061212     0.0020883     0.0024705     0.0013726    0.00038964    7.6473e-05    5.2927e-06    8.9441e-06    6.1124e-05    0.00024004    0.00081891    0.00096878    0.00053826     0.0001528    2.9989e-05    2.0755e-06    5.0996e-07     3.485e-06    1.3686e-05    4.6691e-05    5.5236e-05     3.069e-05    8.7119e-06    1.7098e-06    1.1834e-07
      36       1.715    5.0398e-07    3.4238e-06    1.3137e-05    4.7646e-05    5.6783e-05    2.8995e-05    1.2248e-05    2.4724e-06    2.3489e-07    8.8391e-06    6.0049e-05    0.00023041    0.00083566    0.00099591    0.00050854    0.00021482    4.3362e-05    4.1196e-06    2.2541e-05    0.00015313    0.00058755      0.002131     0.0025396     0.0012968    0.00054781    0.00011058    1.0505e-05    8.8391e-06    6.0049e-05    0.00023041    0.00083566    0.00099591    0.00050854    0.00021482    4.3362e-05    4.1196e-06    5.0398e-07    3.4238e-06    1.3137e-05    4.7646e-05    5.6783e-05    2.8995e-05    1.2248e-05    2.4724e-06    2.3489e-07
      37      1.8662     4.767e-07    3.3615e-06    1.2844e-05    3.4086e-05    5.6434e-05    3.0261e-05    8.7292e-06    2.0561e-06    1.3692e-07    8.3607e-06    5.8956e-05    0.00022527    0.00059782    0.00098978    0.00053074     0.0001531    3.6061e-05    2.4015e-06     2.132e-05    0.00015034    0.00057446     0.0015245      0.002524     0.0013534    0.00039042    9.1959e-05     6.124e-06    8.3607e-06    5.8956e-05    0.00022527    0.00059782    0.00098978    0.00053074     0.0001531    3.6061e-05    2.4015e-06     4.767e-07    3.3615e-06    1.2844e-05    3.4086e-05    5.6434e-05    3.0261e-05    8.7292e-06    2.0561e-06    1.3692e-07
      38      2.0261     4.684e-07    3.2063e-06    1.2531e-05    3.2602e-05    5.8615e-05    2.8719e-05    1.0928e-05    1.5648e-06     1.315e-07    8.2152e-06    5.6234e-05    0.00021978     0.0005718      0.001028     0.0005037    0.00019166    2.7445e-05    2.3064e-06     2.095e-05     0.0001434    0.00056046     0.0014581     0.0026216     0.0012845    0.00048875    6.9986e-05    5.8814e-06    8.2152e-06    5.6234e-05    0.00021978     0.0005718      0.001028     0.0005037    0.00019166    2.7445e-05    2.3064e-06     4.684e-07    3.2063e-06    1.2531e-05    3.2602e-05    5.8615e-05    2.8719e-05    1.0928e-05    1.5648e-06     1.315e-07
      39      2.1949    4.5256e-07    3.1314e-06    1.2176e-05    3.2249e-05    5.8445e-05    3.0339e-05    8.5903e-06    2.4542e-06    3.8924e-07    7.9373e-06    5.4921e-05    0.00021355    0.00056561     0.0010251    0.00053212    0.00015066    4.3044e-05    6.8269e-06    2.0241e-05    0.00014005    0.00054457     0.0014424      0.002614     0.0013569     0.0003842    0.00010977    1.7409e-05    7.9373e-06    5.4921e-05    0.00021355    0.00056561     0.0010251    0.00053212    0.00015066    4.3044e-05    6.8269e-06    4.5256e-07    3.1314e-06    1.2176e-05    3.2249e-05    5.8445e-05    3.0339e-05    8.5903e-06    2.4542e-06    3.8924e-07
      40      2.3728    4.2248e-07     3.093e-06    1.2003e-05    3.0763e-05    6.0571e-05    2.7865e-05    1.1857e-05    1.6844e-06    1.6307e-07    7.4098e-06    5.4247e-05    0.00021051    0.00053955     0.0010623    0.00048872    0.00020796    2.9542e-05      2.86e-06    1.8896e-05    0.00013834    0.00053683     0.0013759      0.002709     0.0012463    0.00053033    7.5335e-05    7.2932e-06    7.4098e-06    5.4247e-05    0.00021051    0.00053955     0.0010623    0.00048872    0.00020796    2.9542e-05      2.86e-06    4.2248e-07     3.093e-06    1.2003e-05    3.0763e-05    6.0571e-05    2.7865e-05    1.1857e-05    1.6844e-06    1.6307e-07
      41        2.56    4.0678e-07     2.958e-06    1.1808e-05    3.0172e-05    6.0706e-05    3.0549e-05    8.5883e-06    1.6831e-06    2.1587e-07    7.1344e-06     5.188e-05    0.00020711    0.00052919     0.0010647     0.0005358    0.00015063     2.952e-05    3.7861e-06    1.8193e-05     0.0001323    0.00052814     0.0013495     0.0027151     0.0013663    0.00038412    7.5278e-05    9.6548e-06    7.1344e-06     5.188e-05    0.00020711    0.00052919     0.0010647     0.0005358    0.00015063     2.952e-05    3.7861e-06    4.0678e-07     2.958e-06    1.1808e-05    3.0172e-05    6.0706e-05    3.0549e-05    8.5883e-06    1.6831e-06    2.1587e-07
      42      2.7568    3.9214e-07    2.8541e-06    1.1601e-05    2.9569e-05    6.2065e-05    2.9269e-05    1.1257e-05    2.5616e-06    1.6827e-07    6.8777e-06    5.0058e-05    0.00020347     0.0005186     0.0010885    0.00051334    0.00019743    4.4928e-05    2.9512e-06    1.7539e-05    0.00012765    0.00051886     0.0013225     0.0027759     0.0013091    0.00050347    0.00011457    7.5259e-06    6.8777e-06    5.0058e-05    0.00020347     0.0005186     0.0010885    0.00051334    0.00019743    4.4928e-05    2.9512e-06    3.9214e-07    2.8541e-06    1.1601e-05    2.9569e-05    6.2065e-05    2.9269e-05    1.1257e-05    2.5616e-06    1.6827e-07
      43      2.9635    3.6841e-07    2.7289e-06    1.1074e-05    2.8387e-05    6.2402e-05    3.0802e-05    9.4896e-06    1.7974e-06    1.6214e-07    6.4615e-06    4.7862e-05    0.00019423    0.00049788     0.0010945    0.00054024    0.00016644    3.1525e-05    2.8437e-06    1.6477e-05    0.00012205    0.00049531     0.0012696      0.002791     0.0013776    0.00042443     8.039e-05    7.2516e-06    6.4615e-06    4.7862e-05    0.00019423    0.00049788     0.0010945    0.00054024    0.00016644    3.1525e-05    2.8437e-06    3.6841e-07    2.7289e-06    1.1074e-05    2.8387e-05    6.2402e-05    3.0802e-05    9.4896e-06    1.7974e-06    1.6214e-07
      44      3.1803    3.4717e-07    2.6124e-06    1.0683e-05    2.5913e-05    6.3791e-05     2.948e-05    1.1039e-05    1.7481e-06    3.6931e-07    6.0889e-06    4.5819e-05    0.00018736    0.00045449     0.0011188    0.00051704    0.00019362     3.066e-05    6.4773e-06    1.5527e-05    0.00011684     0.0004778      0.001159     0.0028531     0.0013185    0.00049374    7.8185e-05    1.6518e-05    6.0889e-06    4.5819e-05    0.00018736    0.00045449     0.0011188    0.00051704    0.00019362     3.066e-05    6.4773e-06    3.4717e-07    2.6124e-06    1.0683e-05    2.5913e-05    6.3791e-05     2.948e-05    1.1039e-05    1.7481e-06    3.6931e-07
      45      3.4074    3.2367e-07     2.453e-06    1.0352e-05    2.5365e-05    6.4051e-05     3.198e-05    9.2027e-06    2.4214e-06    1.6277e-07    5.6768e-06    4.3023e-05    0.00018156    0.00044487     0.0011234    0.00056089     0.0001614    4.2468e-05    2.8548e-06    1.4476e-05    0.00010971      0.000463     0.0011345     0.0028647     0.0014303    0.00041159     0.0001083    7.2801e-06    5.6768e-06    4.3023e-05    0.00018156    0.00044487     0.0011234    0.00056089     0.0001614    4.2468e-05    2.8548e-06    3.2367e-07     2.453e-06    1.0352e-05    2.5365e-05    6.4051e-05     3.198e-05    9.2027e-06    2.4214e-06    1.6277e-07
      46       3.645    3.0387e-07    2.3261e-06    9.9363e-06    2.5054e-05    6.4312e-05    3.0105e-05    1.1997e-05    1.7789e-06    1.8414e-07    5.3295e-06    4.0797e-05    0.00017427    0.00043941      0.001128    0.00052801    0.00021042      3.12e-05    3.2296e-06    1.3591e-05    0.00010404     0.0004444     0.0011205     0.0028764     0.0013465    0.00053659    7.9564e-05    8.2358e-06    5.3295e-06    4.0797e-05    0.00017427    0.00043941      0.001128    0.00052801    0.00021042      3.12e-05    3.2296e-06    3.0387e-07    2.3261e-06    9.9363e-06    2.5054e-05    6.4312e-05    3.0105e-05    1.1997e-05    1.7789e-06    1.8414e-07
      47      3.8934    2.8153e-07    2.1577e-06    9.4355e-06    2.4465e-05    6.3912e-05    3.2461e-05    9.3007e-06    2.0318e-06    1.9478e-07    4.9377e-06    3.7844e-05    0.00016549    0.00042908     0.0011209    0.00056933    0.00016312    3.5636e-05    3.4162e-06    1.2592e-05    9.6506e-05    0.00042201     0.0010942     0.0028585     0.0014518    0.00041598    9.0875e-05    8.7116e-06    4.9377e-06    3.7844e-05    0.00016549    0.00042908     0.0011209    0.00056933    0.00016312    3.5636e-05    3.4162e-06    2.8153e-07    2.1577e-06    9.4355e-06    2.4465e-05    6.3912e-05    3.2461e-05    9.3007e-06    2.0318e-06    1.9478e-07
      48      4.1529    2.5915e-07    2.0525e-06    8.9454e-06    2.4289e-05    6.2333e-05    3.3681e-05    1.1739e-05     2.447e-06     3.783e-07    4.5453e-06    3.5999e-05    0.00015689      0.000426     0.0010933    0.00059073    0.00020588    4.2917e-05    6.6349e-06    1.1591e-05      9.18e-05    0.00040009     0.0010863     0.0027879     0.0015064    0.00052501    0.00010944     1.692e-05    4.5453e-06    3.5999e-05    0.00015689      0.000426     0.0010933    0.00059073    0.00020588    4.2917e-05    6.6349e-06    2.5915e-07    2.0525e-06    8.9454e-06    2.4289e-05    6.2333e-05    3.3681e-05    1.1739e-05     2.447e-06     3.783e-07
      49      4.4237    2.3743e-07    1.8857e-06    8.3087e-06    2.2777e-05    6.0276e-05    3.3448e-05     1.015e-05      1.89e-06    1.9566e-07    4.1642e-06    3.3073e-05    0.00014572    0.00039949     0.0010572    0.00058664    0.00017803    3.3149e-05    3.4316e-06    1.0619e-05     8.434e-05    0.00037161     0.0010187     0.0026959      0.001496    0.00045398    8.4533e-05    8.7509e-06    4.1642e-06    3.3073e-05    0.00014572    0.00039949     0.0010572    0.00058664    0.00017803    3.3149e-05    3.4316e-06    2.3743e-07    1.8857e-06    8.3087e-06    2.2777e-05    6.0276e-05    3.3448e-05     1.015e-05      1.89e-06    1.9566e-07
      50       4.706    2.1918e-07    1.7288e-06    7.9955e-06    2.2245e-05    5.8169e-05    3.4403e-05    1.1532e-05    1.8777e-06    1.9002e-07    3.8442e-06     3.032e-05    0.00014023    0.00039016     0.0010202    0.00060339    0.00020225    3.2932e-05    3.3327e-06    9.8031e-06    7.7319e-05     0.0003576    0.00099494     0.0026016     0.0015387    0.00051576    8.3979e-05    8.4985e-06    3.8442e-06     3.032e-05    0.00014023    0.00039016     0.0010202    0.00060339    0.00020225    3.2932e-05    3.3327e-06    2.1918e-07    1.7288e-06    7.9955e-06    2.2245e-05    5.8169e-05    3.4403e-05    1.1532e-05    1.8777e-06    1.9002e-07
      51           5    1.9952e-07    1.5877e-06    7.4469e-06    2.1203e-05    5.5849e-05     3.516e-05    1.0208e-05    2.7021e-06         2e-07    3.4994e-06    2.7846e-05    0.00013061    0.00037187    0.00097953    0.00061667    0.00017904    4.7392e-05    3.5077e-06    8.9237e-06    7.1011e-05    0.00033307    0.00094831     0.0024979     0.0015726    0.00045657    0.00012085    8.9449e-06    3.4994e-06    2.7846e-05    0.00013061    0.00037187    0.00097953    0.00061667    0.00017904    4.7392e-05    3.5077e-06    1.9952e-07    1.5877e-06    7.4469e-06    2.1203e-05    5.5849e-05     3.516e-05    1.0208e-05    2.7021e-06         2e-07
      52       5.306    1.8097e-07     1.466e-06    6.9877e-06    2.0273e-05    5.2403e-05    3.5974e-05    1.2261e-05    1.9285e-06    3.4045e-07    3.1739e-06    2.5712e-05    0.00012256    0.00035556    0.00091908    0.00063095    0.00021504    3.3824e-05    5.9711e-06    8.0938e-06    6.5568e-05    0.00031253     0.0009067     0.0023437      0.001609    0.00054836    8.6255e-05    1.5227e-05    3.1739e-06    2.5712e-05    0.00012256    0.00035556    0.00091908    0.00063095    0.00021504    3.3824e-05    5.9711e-06    1.8097e-07     1.466e-06    6.9877e-06    2.0273e-05    5.2403e-05    3.5974e-05    1.2261e-05    1.9285e-06    3.4045e-07
      53      5.6243    1.6229e-07    1.3297e-06    6.4332e-06    1.9708e-05    4.7628e-05    3.6187e-05    1.0049e-05    1.9595e-06    1.9229e-07    2.8463e-06    2.3321e-05    0.00011283    0.00034565    0.00083534    0.00063468    0.00017625    3.4368e-05    3.3726e-06    7.2583e-06    5.9472e-05    0.00028773    0.00088144     0.0021302     0.0016185    0.00044946     8.764e-05    8.6004e-06    2.8463e-06    2.3321e-05    0.00011283    0.00034565    0.00083534    0.00063468    0.00017625    3.4368e-05    3.3726e-06    1.6229e-07    1.3297e-06    6.4332e-06    1.9708e-05    4.7628e-05    3.6187e-05    1.0049e-05    1.9595e-06    1.9229e-07
      54      5.9551    1.4898e-07    1.2561e-06    6.0843e-06    1.9174e-05    4.4076e-05    3.7855e-05    1.2105e-05    2.5329e-06    2.6644e-07    2.6129e-06     2.203e-05    0.00010671     0.0003363    0.00077303    0.00066393     0.0002123    4.4424e-05    4.6731e-06     6.663e-06    5.6178e-05    0.00027212    0.00085759     0.0019713     0.0016931    0.00054139    0.00011328    1.1917e-05    2.6129e-06     2.203e-05    0.00010671     0.0003363    0.00077303    0.00066393     0.0002123    4.4424e-05    4.6731e-06    1.4898e-07    1.2561e-06    6.0843e-06    1.9174e-05    4.4076e-05    3.7855e-05    1.2105e-05    2.5329e-06    2.6644e-07
      55      6.2986    1.3486e-07     1.128e-06     5.585e-06     1.771e-05    4.0303e-05    3.7916e-05    1.1196e-05    2.1741e-06    2.0387e-07    2.3653e-06    1.9784e-05    9.7955e-05    0.00031062    0.00070687    0.00066501    0.00019637    3.8131e-05    3.5756e-06    6.0317e-06     5.045e-05    0.00024979     0.0007921     0.0018026     0.0016958    0.00050077    9.7237e-05     9.118e-06    2.3653e-06    1.9784e-05    9.7955e-05    0.00031062    0.00070687    0.00066501    0.00019637    3.8131e-05    3.5756e-06    1.3486e-07     1.128e-06     5.585e-06     1.771e-05    4.0303e-05    3.7916e-05    1.1196e-05    2.1741e-06    2.0387e-07
      56       6.655    1.2261e-07    1.0323e-06    5.2044e-06    1.6634e-05    3.8461e-05    3.8144e-05    1.1796e-05    2.0047e-06    3.2747e-07    2.1504e-06    1.8105e-05    9.1279e-05    0.00029174    0.00067456      0.000669    0.00020689     3.516e-05    5.7434e-06    5.4837e-06    4.6168e-05    0.00023277    0.00074396     0.0017202      0.001706    0.00052758    8.9661e-05    1.4646e-05    2.1504e-06    1.8105e-05    9.1279e-05    0.00029174    0.00067456      0.000669    0.00020689     3.516e-05    5.7434e-06    1.2261e-07    1.0323e-06    5.2044e-06    1.6634e-05    3.8461e-05    3.8144e-05    1.1796e-05    2.0047e-06    3.2747e-07
      57      7.0246    1.0954e-07     9.419e-07    4.8168e-06    1.5965e-05    3.7804e-05    4.0109e-05    1.0986e-05    2.5032e-06    2.2552e-07    1.9212e-06     1.652e-05    8.4481e-05       0.00028    0.00066303    0.00070346    0.00019269    4.3904e-05    3.9553e-06    4.8992e-06    4.2127e-05    0.00021543    0.00071403     0.0016908     0.0017939    0.00049137    0.00011196    1.0086e-05    1.9212e-06     1.652e-05    8.4481e-05       0.00028    0.00066303    0.00070346    0.00019269    4.3904e-05    3.9553e-06    1.0954e-07     9.419e-07    4.8168e-06    1.5965e-05    3.7804e-05    4.0109e-05    1.0986e-05    2.5032e-06    2.2552e-07
      58      7.4077    9.7875e-08    8.5816e-07    4.4452e-06    1.4933e-05    3.5109e-05    4.0919e-05    1.2814e-05    2.1009e-06    2.1386e-07    1.7166e-06    1.5051e-05    7.7963e-05    0.00026191    0.00061577    0.00071767    0.00022475    3.6847e-05    3.7509e-06    4.3775e-06    3.8382e-05    0.00019881     0.0006679     0.0015703     0.0018301    0.00057313    9.3964e-05    9.5652e-06    1.7166e-06    1.5051e-05    7.7963e-05    0.00026191    0.00061577    0.00071767    0.00022475    3.6847e-05    3.7509e-06    9.7875e-08    8.5816e-07    4.4452e-06    1.4933e-05    3.5109e-05    4.0919e-05    1.2814e-05    2.1009e-06    2.1386e-07
      59      7.8045     8.546e-08    7.7452e-07    4.0603e-06    1.4176e-05    3.2431e-05    4.1509e-05    1.1002e-05    2.6769e-06    2.1631e-07    1.4989e-06    1.3584e-05    7.1214e-05    0.00024862     0.0005688    0.00072801    0.00019296     4.695e-05    3.7938e-06    3.8223e-06    3.4641e-05     0.0001816    0.00063401     0.0014505     0.0018565    0.00049206    0.00011973    9.6746e-06    1.4989e-06    1.3584e-05    7.1214e-05    0.00024862     0.0005688    0.00072801    0.00019296     4.695e-05    3.7938e-06     8.546e-08    7.7452e-07    4.0603e-06    1.4176e-05    3.2431e-05    4.1509e-05    1.1002e-05    2.6769e-06    2.1631e-07
      60      8.2152    7.3682e-08    6.8673e-07    3.7298e-06     1.328e-05    2.9425e-05    4.2677e-05    1.3136e-05    2.0606e-06    3.7479e-07    1.2923e-06    1.2044e-05    6.5417e-05    0.00023292    0.00051608     0.0007485    0.00023039     3.614e-05    6.5734e-06    3.2955e-06    3.0714e-05    0.00016682    0.00059396      0.001316     0.0019087    0.00058752     9.216e-05    1.6763e-05    1.2923e-06    1.2044e-05    6.5417e-05    0.00023292    0.00051608     0.0007485    0.00023039     3.614e-05    6.5734e-06    7.3682e-08    6.8673e-07    3.7298e-06     1.328e-05    2.9425e-05    4.2677e-05    1.3136e-05    2.0606e-06    3.7479e-07
      61        8.64     6.477e-08    6.1848e-07    3.4011e-06    1.2396e-05    2.7206e-05     4.266e-05    1.1463e-05    2.5524e-06     2.142e-07     1.136e-06    1.0847e-05    5.9652e-05     0.0002174    0.00047717    0.00074821    0.00020105    4.4766e-05    3.7568e-06    2.8968e-06    2.7662e-05    0.00015212     0.0005544     0.0012168      0.001908    0.00051269    0.00011416    9.5802e-06     1.136e-06    1.0847e-05    5.9652e-05     0.0002174    0.00047717    0.00074821    0.00020105    4.4766e-05    3.7568e-06     6.477e-08    6.1848e-07    3.4011e-06    1.2396e-05    2.7206e-05     4.266e-05    1.1463e-05    2.5524e-06     2.142e-07
      62      9.0792     5.531e-08    5.4066e-07    3.0693e-06    1.1543e-05    2.5521e-05    4.3977e-05    1.3086e-05    2.1694e-06    2.3079e-07    9.7008e-07    9.4825e-06    5.3832e-05    0.00020245     0.0004476    0.00077131    0.00022952    3.8049e-05    4.0478e-06    2.4738e-06    2.4181e-05    0.00013728    0.00051627     0.0011414     0.0019669     0.0005853    9.7028e-05    1.0322e-05    9.7008e-07    9.4825e-06    5.3832e-05    0.00020245     0.0004476    0.00077131    0.00022952    3.8049e-05    4.0478e-06     5.531e-08    5.4066e-07    3.0693e-06    1.1543e-05    2.5521e-05    4.3977e-05    1.3086e-05    2.1694e-06    2.3079e-07
      63      9.5331    4.7541e-08    4.7103e-07     2.763e-06    1.0681e-05    2.4224e-05    4.4506e-05    1.1644e-05    2.6718e-06    2.3592e-07     8.338e-07    8.2614e-06    4.8459e-05    0.00018733    0.00042486    0.00078058    0.00020422    4.6861e-05    4.1378e-06    2.1263e-06    2.1067e-05    0.00012358    0.00047771     0.0010834     0.0019906    0.00052079     0.0001195    1.0552e-05     8.338e-07    8.2614e-06    4.8459e-05    0.00018733    0.00042486    0.00078058    0.00020422    4.6861e-05    4.1378e-06    4.7541e-08    4.7103e-07     2.763e-06    1.0681e-05    2.4224e-05    4.4506e-05    1.1644e-05    2.6718e-06    2.3592e-07
      64      10.002    4.0248e-08    4.0902e-07    2.4495e-06    9.8848e-06    2.2907e-05    4.4746e-05    1.3433e-05    2.1867e-06    3.2944e-07    7.0591e-07    7.1737e-06    4.2962e-05    0.00017337    0.00040175     0.0007848    0.00023559    3.8352e-05     5.778e-06    1.8001e-06    1.8294e-05    0.00010956     0.0004421     0.0010245     0.0020013    0.00060078    9.7801e-05    1.4734e-05    7.0591e-07    7.1737e-06    4.2962e-05    0.00017337    0.00040175     0.0007848    0.00023559    3.8352e-05     5.778e-06    4.0248e-08    4.0902e-07    2.4495e-06    9.8848e-06    2.2907e-05    4.4746e-05    1.3433e-05    2.1867e-06    3.2944e-07
      65      10.486    3.4304e-08    3.5272e-07    2.1931e-06    9.3275e-06    2.2397e-05    4.3939e-05    1.1663e-05    2.6386e-06    2.6248e-07    6.0165e-07    6.1862e-06    3.8464e-05    0.00016359    0.00039282    0.00077063    0.00020455    4.6277e-05    4.6036e-06    1.5343e-06    1.5775e-05    9.8086e-05    0.00041718     0.0010017     0.0019652    0.00052163    0.00011801     1.174e-05    6.0165e-07    6.1862e-06    3.8464e-05    0.00016359    0.00039282    0.00077063    0.00020455    4.6277e-05    4.6036e-06    3.4304e-08    3.5272e-07    2.1931e-06    9.3275e-06    2.2397e-05    4.3939e-05    1.1663e-05    2.6386e-06    2.6248e-07
      66      10.985    2.8818e-08    3.0078e-07    1.8744e-06    8.5509e-06    2.0402e-05     4.185e-05     1.359e-05    2.1473e-06    2.4573e-07    5.0544e-07    5.2753e-06    3.2875e-05    0.00014997    0.00035783    0.00073399    0.00023835    3.7661e-05    4.3099e-06    1.2889e-06    1.3452e-05    8.3834e-05    0.00038244     0.0009125     0.0018717    0.00060781    9.6039e-05    1.0991e-05    5.0544e-07    5.2753e-06    3.2875e-05    0.00014997    0.00035783    0.00073399    0.00023835    3.7661e-05    4.3099e-06    2.8818e-08    3.0078e-07    1.8744e-06    8.5509e-06    2.0402e-05     4.185e-05     1.359e-05    2.1473e-06    2.4573e-07
      67        11.5     2.381e-08    2.5613e-07    1.6478e-06    7.8158e-06    1.8976e-05    4.0119e-05    1.2096e-05    2.7712e-06    3.1704e-07     4.176e-07    4.4922e-06    2.8901e-05    0.00013708    0.00033282    0.00070363    0.00021216    4.8604e-05    5.5606e-06    1.0649e-06    1.1455e-05    7.3699e-05    0.00034956    0.00084871     0.0017943    0.00054102    0.00012394     1.418e-05     4.176e-07    4.4922e-06    2.8901e-05    0.00013708    0.00033282    0.00070363    0.00021216    4.8604e-05    5.5606e-06     2.381e-08    2.5613e-07    1.6478e-06    7.8158e-06    1.8976e-05    4.0119e-05    1.2096e-05    2.7712e-06    3.1704e-07
      68      12.031    1.9337e-08    2.1722e-07    1.4123e-06    7.0946e-06    1.7273e-05    3.7509e-05    1.3534e-05    2.2804e-06    2.5666e-07    3.3915e-07    3.8098e-06    2.4771e-05    0.00012443    0.00030294    0.00065787    0.00023737    3.9996e-05    4.5015e-06    8.6486e-07    9.7154e-06    6.3167e-05    0.00031731    0.00077253     0.0016776     0.0006053    0.00010199    1.1479e-05    3.3915e-07    3.8098e-06    2.4771e-05    0.00012443    0.00030294    0.00065787    0.00023737    3.9996e-05    4.5015e-06    1.9337e-08    2.1722e-07    1.4123e-06    7.0946e-06    1.7273e-05    3.7509e-05    1.3534e-05    2.2804e-06    2.5666e-07
      69      12.577    1.5777e-08    1.8339e-07    1.2258e-06    6.3824e-06    1.6049e-05    3.4531e-05    1.2334e-05    2.6339e-06    2.3796e-07    2.7671e-07    3.2164e-06      2.15e-05    0.00011194    0.00028149    0.00060563    0.00021633    4.6195e-05    4.1735e-06    7.0563e-07     8.202e-06    5.4826e-05    0.00028546    0.00071782     0.0015444    0.00055165     0.0001178    1.0643e-05    2.7671e-07    3.2164e-06      2.15e-05    0.00011194    0.00028149    0.00060563    0.00021633    4.6195e-05    4.1735e-06    1.5777e-08    1.8339e-07    1.2258e-06    6.3824e-06    1.6049e-05    3.4531e-05    1.2334e-05    2.6339e-06    2.3796e-07
      70       13.14    1.2851e-08    1.5121e-07    1.0425e-06    5.5804e-06    1.4547e-05    3.2353e-05    1.3968e-05    2.4223e-06     3.653e-07    2.2539e-07    2.6521e-06    1.8285e-05    9.7873e-05    0.00025513    0.00056744    0.00024498    4.2484e-05    6.4069e-06    5.7476e-07     6.763e-06    4.6627e-05    0.00024958     0.0006506      0.001447    0.00062472    0.00010834    1.6338e-05    2.2539e-07    2.6521e-06    1.8285e-05    9.7873e-05    0.00025513    0.00056744    0.00024498    4.2484e-05    6.4069e-06    1.2851e-08    1.5121e-07    1.0425e-06    5.5804e-06    1.4547e-05    3.2353e-05    1.3968e-05    2.4223e-06     3.653e-07
      71       13.72    1.0265e-08    1.2303e-07    8.8363e-07    4.9327e-06    1.3365e-05    2.8115e-05    1.2302e-05    2.7146e-06    2.4594e-07    1.8004e-07    2.1578e-06    1.5498e-05    8.6514e-05     0.0002344    0.00049311    0.00021576     4.761e-05    4.3135e-06    4.5911e-07    5.5026e-06    3.9521e-05    0.00022062    0.00059774     0.0012575    0.00055021    0.00012141       1.1e-05    1.8004e-07    2.1578e-06    1.5498e-05    8.6514e-05     0.0002344    0.00049311    0.00021576     4.761e-05    4.3135e-06    1.0265e-08    1.2303e-07    8.8363e-07    4.9327e-06    1.3365e-05    2.8115e-05    1.2302e-05    2.7146e-06    2.4594e-07
      72      14.316    7.9662e-09    9.9864e-08    7.4205e-07    4.3605e-06    1.2054e-05    2.5938e-05    1.4114e-05    2.3223e-06    2.6474e-07    1.3972e-07    1.7515e-06    1.3015e-05    7.6477e-05    0.00021141    0.00045492    0.00024753    4.0731e-05    4.6433e-06    3.5629e-07    4.4665e-06    3.3189e-05    0.00019502    0.00053911     0.0011601    0.00063123    0.00010387    1.1841e-05    1.3972e-07    1.7515e-06    1.3015e-05    7.6477e-05    0.00021141    0.00045492    0.00024753    4.0731e-05    4.6433e-06    7.9662e-09    9.9864e-08    7.4205e-07    4.3605e-06    1.2054e-05    2.5938e-05    1.4114e-05    2.3223e-06    2.6474e-07
      73       14.93    6.2761e-09    8.0975e-08    6.2212e-07    3.8095e-06    1.0943e-05    2.5285e-05    1.2588e-05     2.809e-06    3.2415e-07    1.1008e-07    1.4202e-06    1.0911e-05    6.6814e-05    0.00019192    0.00044348    0.00022078    4.9267e-05    5.6853e-06     2.807e-07    3.6217e-06    2.7824e-05    0.00017038    0.00048942     0.0011309    0.00056302    0.00012564    1.4498e-05    1.1008e-07    1.4202e-06    1.0911e-05    6.6814e-05    0.00019192    0.00044348    0.00022078    4.9267e-05    5.6853e-06    6.2761e-09    8.0975e-08    6.2212e-07    3.8095e-06    1.0943e-05    2.5285e-05    1.2588e-05     2.809e-06    3.2415e-07
      74      15.561    4.9435e-09    6.4741e-08    5.1199e-07    3.2737e-06    9.9099e-06     2.404e-05    1.4222e-05     2.453e-06     2.722e-07    8.6704e-08    1.1355e-06    8.9797e-06    5.7417e-05    0.00017381    0.00042163    0.00024944    4.3022e-05     4.774e-06     2.211e-07    2.8956e-06    2.2899e-05    0.00014642    0.00044323     0.0010752    0.00063609    0.00010971    1.2174e-05    8.6704e-08    1.1355e-06    8.9797e-06    5.7417e-05    0.00017381    0.00042163    0.00024944    4.3022e-05     4.774e-06    4.9435e-09    6.4741e-08    5.1199e-07    3.2737e-06    9.9099e-06     2.404e-05    1.4222e-05     2.453e-06     2.722e-07
      75      16.209    3.9203e-09    5.1535e-08    4.1842e-07    2.8741e-06    8.6393e-06    2.2512e-05    1.2829e-05    2.7284e-06    2.8998e-07    6.8758e-08    9.0386e-07    7.3385e-06    5.0409e-05    0.00015152    0.00039484    0.00022501    4.7852e-05    5.0859e-06    1.7534e-07    2.3049e-06    1.8714e-05    0.00012855     0.0003864     0.0010069    0.00057379    0.00012203    1.2969e-05    6.8758e-08    9.0386e-07    7.3385e-06    5.0409e-05    0.00015152    0.00039484    0.00022501    4.7852e-05    5.0859e-06    3.9203e-09    5.1535e-08    4.1842e-07    2.8741e-06    8.6393e-06    2.2512e-05    1.2829e-05    2.7284e-06    2.8998e-07
      76      16.875    3.0965e-09    4.1106e-08    3.4266e-07    2.4563e-06     7.837e-06    2.0909e-05    1.4707e-05    2.5101e-06    3.2318e-07    5.4309e-08    7.2096e-07    6.0098e-06     4.308e-05    0.00013745    0.00036672    0.00025795    4.4024e-05    5.6683e-06    1.3849e-07    1.8385e-06    1.5326e-05    0.00010986    0.00035051    0.00093516    0.00065779    0.00011227    1.4455e-05    5.4309e-08    7.2096e-07    6.0098e-06     4.308e-05    0.00013745    0.00036672    0.00025795    4.4024e-05    5.6683e-06    3.0965e-09    4.1106e-08    3.4266e-07    2.4563e-06     7.837e-06    2.0909e-05    1.4707e-05    2.5101e-06    3.2318e-07
      77      17.559    2.4345e-09     3.245e-08    2.7852e-07    2.0728e-06    6.9943e-06    1.9281e-05    1.4198e-05    2.8384e-06    2.7507e-07    4.2698e-08    5.6914e-07     4.885e-06    3.6354e-05    0.00012267    0.00033816    0.00024901    4.9782e-05    4.8244e-06    1.0888e-07    1.4514e-06    1.2457e-05    9.2706e-05    0.00031283    0.00086233      0.000635    0.00012695    1.2303e-05    4.2698e-08    5.6914e-07     4.885e-06    3.6354e-05    0.00012267    0.00033816    0.00024901    4.9782e-05    4.8244e-06    2.4345e-09     3.245e-08    2.7852e-07    2.0728e-06    6.9943e-06    1.9281e-05    1.4198e-05    2.8384e-06    2.7507e-07
      78      18.261    1.8995e-09    2.5906e-08    2.2453e-07    1.8078e-06    6.1702e-06     1.838e-05    1.5235e-05    2.4538e-06    2.7339e-07    3.3315e-08    4.5435e-07     3.938e-06    3.1706e-05    0.00010822    0.00032237    0.00026721    4.3036e-05     4.795e-06    8.4956e-08    1.1586e-06    1.0042e-05    8.0854e-05    0.00027597    0.00082206     0.0006814    0.00010975    1.2228e-05    3.3315e-08    4.5435e-07     3.938e-06    3.1706e-05    0.00010822    0.00032237    0.00026721    4.3036e-05     4.795e-06    1.8995e-09    2.5906e-08    2.2453e-07    1.8078e-06    6.1702e-06     1.838e-05    1.5235e-05    2.4538e-06    2.7339e-07
      79      18.982    1.4113e-09    2.0505e-08    1.7857e-07    1.4705e-06    5.4235e-06    1.6869e-05    1.4901e-05    2.9338e-06    3.4881e-07    2.4753e-08    3.5963e-07    3.1319e-06     2.579e-05    9.5123e-05    0.00029586    0.00026134    5.1456e-05    6.1177e-06    6.3121e-08    9.1709e-07    7.9866e-06    6.5768e-05    0.00024257    0.00075447    0.00066645    0.00013122    1.5601e-05    2.4753e-08    3.5963e-07    3.1319e-06     2.579e-05    9.5123e-05    0.00029586    0.00026134    5.1456e-05    6.1177e-06    1.4113e-09    2.0505e-08    1.7857e-07    1.4705e-06    5.4235e-06    1.6869e-05    1.4901e-05    2.9338e-06    3.4881e-07
      80      19.722    1.0589e-09    1.5945e-08    1.4273e-07    1.2186e-06    4.7175e-06    1.4272e-05    1.5306e-05    2.6019e-06    2.8971e-07    1.8572e-08    2.7966e-07    2.5034e-06    2.1373e-05    8.2739e-05    0.00025031    0.00026844    4.5634e-05    5.0811e-06    4.7361e-08    7.1315e-07    6.3838e-06    5.4502e-05    0.00021099    0.00063832    0.00068455    0.00011637    1.2957e-05    1.8572e-08    2.7966e-07    2.5034e-06    2.1373e-05    8.2739e-05    0.00025031    0.00026844    4.5634e-05    5.0811e-06    1.0589e-09    1.5945e-08    1.4273e-07    1.2186e-06    4.7175e-06    1.4272e-05    1.5306e-05    2.6019e-06    2.8971e-07
      81       20.48    7.4099e-10    1.2449e-08    1.1516e-07    1.0016e-06    4.0402e-06    1.2422e-05    1.5529e-05    2.7923e-06    2.8342e-07    1.2996e-08    2.1833e-07    2.0198e-06    1.7566e-05    7.0861e-05    0.00021786    0.00027235    4.8973e-05    4.9708e-06    3.3141e-08    5.5677e-07    5.1506e-06    4.4795e-05     0.0001807    0.00055557    0.00069452    0.00012489    1.2676e-05    1.2996e-08    2.1833e-07    2.0198e-06    1.7566e-05    7.0861e-05    0.00021786    0.00027235    4.8973e-05    4.9708e-06    7.4099e-10    1.2449e-08    1.1516e-07    1.0016e-06    4.0402e-06    1.2422e-05    1.5529e-05    2.7923e-06    2.8342e-07
      82      21.258    5.3869e-10    9.3255e-09    9.1737e-08    8.0834e-07     3.454e-06    1.0801e-05    1.6191e-05    2.6839e-06     3.378e-07    9.4479e-09    1.6356e-07     1.609e-06    1.4177e-05     6.058e-05    0.00018944    0.00028397    4.7073e-05    5.9246e-06    2.4093e-08    4.1709e-07     4.103e-06    3.6154e-05    0.00015448    0.00048309    0.00072415    0.00012004    1.5108e-05    9.4479e-09    1.6356e-07     1.609e-06    1.4177e-05     6.058e-05    0.00018944    0.00028397    4.7073e-05    5.9246e-06    5.3869e-10    9.3255e-09    9.1737e-08    8.0834e-07     3.454e-06    1.0801e-05    1.6191e-05    2.6839e-06     3.378e-07
      83      22.055    3.8509e-10    7.0555e-09     7.294e-08    6.5411e-07    2.9309e-06    9.4775e-06    1.6242e-05     2.998e-06    2.9352e-07    6.7541e-09    1.2374e-07    1.2793e-06    1.1472e-05    5.1405e-05    0.00016622    0.00028486    5.2581e-05     5.148e-06    1.7223e-08    3.1556e-07    3.2623e-06    2.9255e-05    0.00013109    0.00042389    0.00072641    0.00013409    1.3128e-05    6.7541e-09    1.2374e-07    1.2793e-06    1.1472e-05    5.1405e-05    0.00016622    0.00028486    5.2581e-05     5.148e-06    3.8509e-10    7.0555e-09     7.294e-08    6.5411e-07    2.9309e-06    9.4775e-06    1.6242e-05     2.998e-06    2.9352e-07
      84      22.871    2.8297e-10    5.0721e-09    5.6197e-08    5.2093e-07    2.5225e-06    8.5883e-06     1.664e-05    2.5733e-06    3.0357e-07    4.9629e-09    8.8959e-08    9.8563e-07    9.1365e-06    4.4242e-05    0.00015063    0.00029184    4.5134e-05    5.3243e-06    1.2656e-08    2.2685e-07    2.5134e-06    2.3299e-05    0.00011282    0.00038412    0.00074422    0.00011509    1.3577e-05    4.9629e-09    8.8959e-08    9.8563e-07    9.1365e-06    4.4242e-05    0.00015063    0.00029184    4.5134e-05    5.3243e-06    2.8297e-10    5.0721e-09    5.6197e-08    5.2093e-07    2.5225e-06    8.5883e-06     1.664e-05    2.5733e-06    3.0357e-07
      85      23.708    2.0045e-10    3.6381e-09    4.3661e-08    4.1573e-07    2.1339e-06    7.5613e-06     1.615e-05    2.9964e-06    3.3971e-07    3.5157e-09    6.3808e-08    7.6577e-07    7.2914e-06    3.7427e-05    0.00013262    0.00028324    5.2554e-05    5.9581e-06    8.9653e-09    1.6272e-07    1.9528e-06    1.8594e-05    9.5441e-05    0.00033818     0.0007223    0.00013402    1.5194e-05    3.5157e-09    6.3808e-08    7.6577e-07    7.2914e-06    3.7427e-05    0.00013262    0.00028324    5.2554e-05    5.9581e-06    2.0045e-10    3.6381e-09    4.3661e-08    4.1573e-07    2.1339e-06    7.5613e-06     1.615e-05    2.9964e-06    3.3971e-07
      86      24.565    1.4573e-10    2.6214e-09    3.2964e-08    3.3317e-07    1.8413e-06    7.1167e-06    1.6518e-05    2.7565e-06     2.918e-07    2.5559e-09    4.5977e-08    5.7815e-07    5.8434e-06    3.2294e-05    0.00012482    0.00028971    4.8345e-05    5.1178e-06    6.5177e-09    1.1725e-07    1.4743e-06    1.4901e-05    8.2353e-05     0.0003183    0.00073878    0.00012328    1.3051e-05    2.5559e-09    4.5977e-08    5.7815e-07    5.8434e-06    3.2294e-05    0.00012482    0.00028971    4.8345e-05    5.1178e-06    1.4573e-10    2.6214e-09    3.2964e-08    3.3317e-07    1.8413e-06    7.1167e-06    1.6518e-05    2.7565e-06     2.918e-07
      87      25.442    1.0412e-10    1.9298e-09    2.4937e-08    2.6889e-07    1.5139e-06    6.1692e-06    1.6074e-05    2.9374e-06    3.0765e-07    1.8261e-09    3.3846e-08    4.3737e-07    4.7161e-06    2.6551e-05     0.0001082    0.00028192    5.1519e-05    5.3958e-06    4.6567e-09     8.631e-08    1.1153e-06    1.2026e-05    6.7708e-05    0.00027592    0.00071892    0.00013138     1.376e-05    1.8261e-09    3.3846e-08    4.3737e-07    4.7161e-06    2.6551e-05     0.0001082    0.00028192    5.1519e-05    5.3958e-06    1.0412e-10    1.9298e-09    2.4937e-08    2.6889e-07    1.5139e-06    6.1692e-06    1.6074e-05    2.9374e-06    3.0765e-07
      88       26.34    7.2935e-11    1.3869e-09    1.8357e-08    2.1245e-07    1.2556e-06    5.9791e-06    1.5443e-05    2.7249e-06     3.568e-07    1.2792e-09    2.4324e-08    3.2196e-07    3.7261e-06    2.2021e-05    0.00010487    0.00027085    4.7791e-05    6.2579e-06    3.2621e-09    6.2029e-08    8.2101e-07     9.502e-06    5.6155e-05    0.00026742    0.00069068    0.00012187    1.5958e-05    1.2792e-09    2.43...

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       0.002388     0.0018389     0.0064409     0.0087881      0.010534      0.010485     0.0093089     0.0090425      0.008346     0.0081864     0.0075468     0.0072506     0.0063016     0.0057565     0.0048062     0.0045938     0.0043442     0.0037411     0.0034783     0.0032043     0.0023008     0.0021265     0.0019691     0.0016888     0.0014765     0.0012985    0.00092769     0.0008317    0.00072292    0.00063377     0.0005339     0.0003748    0.00031779    0.00027146    0.00021668    0.00016989    0.00013889    0.00011638    9.5265e-05     7.661e-05    6.2389e-05    4.9457e-05    3.9992e-05    3.1465e-05     2.473e-05    1.9863e-05    0.00018569    0.00018972     0.0001878    0.00019245    0.00022069    0.00026288    0.00031382    0.00045312    0.00044362    0.00043669    0.00042907    0.00043128    0.00046553    0.00044921    0.00043071    0.00041286    0.00039518    0.00037892    0.00035721    0.00034446    0.00034277     0.0003904    0.00039137    0.00050249    0.00046115    0.00042036    0.00038405    0.00033559     0.0003222    0.00030937    0.00029224    0.00024288      0.000196    0.00016115    0.00012928     9.317e-05 
       2       4e-05            0     2.3862e-06    2.8257e-06    1.5227e-05     0.0005064    7.2295e-07    4.2993e-05    2.1652e-06    9.8438e-07    7.0416e-05    6.0238e-07    4.0222e-07    2.1813e-06    2.0403e-07    5.7961e-07    2.7452e-06    2.6035e-08      2.96e-06    9.7979e-07    1.7963e-05    2.4615e-07    0.00031468    7.5571e-07    1.1392e-07    2.8838e-07    8.2065e-05    7.0389e-06    4.1762e-06    4.1511e-07    5.7821e-06    8.3417e-08    1.3383e-07    3.8038e-07    8.3542e-07    2.1841e-07    1.4282e-05    5.8751e-07    3.4711e-07    1.5092e-09    7.1206e-08    4.0866e-11     5.218e-07    6.1286e-07    1.4791e-08    1.6798e-08    3.3777e-08    1.1722e-06             0    2.3866e-09    6.7363e-06     1.322e-05             0    2.2065e-08             0    1.5621e-07    2.2374e-06             0    2.2027e-06             0             0             0             0    9.3388e-13    7.6401e-08             0    6.9401e-09    5.4096e-09    8.9022e-11     1.314e-10             0             0    4.3979e-10    6.5789e-13             0    2.1996e-07    9.4883e-08             0    4.8458e-10             0             0    5.4752e-12             0    6.7193e-10 
       3     0.00032            0      3.749e-05    3.8393e-05    0.00067452     0.0013202    3.5912e-05    3.0603e-05      0.001061    3.5853e-05    2.2735e-05    6.3882e-06    3.4415e-06    3.0636e-06    0.00065103    2.2115e-05    1.4018e-06    2.9855e-05    4.2681e-06    9.9741e-05    7.7553e-05    6.1142e-05     6.132e-06    0.00033325    3.7295e-06    9.8374e-06    2.2884e-06    8.8083e-05    6.8004e-06    1.0799e-05    1.7826e-06    1.0958e-06    6.3732e-07    7.4289e-07    1.1515e-06    5.0446e-07    1.0098e-06    1.4717e-05    9.8744e-07    8.8876e-07    8.1183e-07    1.9249e-06    6.1635e-07    5.2493e-07    9.6466e-07    1.2819e-06    1.5734e-06    1.5362e-05    5.0528e-06    2.9735e-08    8.2957e-12    1.6876e-09    4.4361e-07    5.9658e-05    0.00015285    1.8557e-06    1.8057e-08    3.4808e-08             0             0    4.0665e-11    5.7161e-07    4.9248e-06    2.5734e-06    9.9081e-09    7.0813e-09    1.1024e-06     1.579e-07    1.9301e-10    2.8467e-13    1.7674e-06    3.7089e-07     2.773e-06    3.3983e-08    1.2059e-08    7.2563e-09    2.3246e-10    1.8637e-11    4.5525e-09    9.0383e-07             0    4.3391e-14    3.4587e-10    8.6133e-11 
       4     0.00108            0     0.00031485     0.0003134    0.00027522    6.8839e-05    0.00011766    1.0826e-05    2.1824e-05    4.7248e-05    5.7376e-05    1.2047e-05    4.8705e-05    0.00010093    3.2428e-05    0.00029906    0.00027894    1.6068e-05    7.8054e-06    0.00014175    6.2753e-06    3.4436e-05     0.0001023    4.0843e-07    0.00033196    3.1987e-05    5.3761e-06    2.2153e-06    8.4557e-05    9.1805e-06    2.6411e-05    1.3061e-05    1.7383e-05    9.5437e-05    7.9738e-06    5.6992e-06    2.5966e-06    1.1415e-05     1.721e-05    1.5833e-05    1.5621e-05    1.5324e-05    1.5141e-05    1.6872e-05    1.6863e-05    1.6607e-05    1.8156e-05    1.6526e-05    1.0222e-07    7.1239e-06    1.3855e-05    1.8938e-05    4.8315e-05    1.1335e-07    1.4134e-06    3.9609e-06    4.0211e-06     2.162e-06    1.6009e-05    2.5454e-05    3.5813e-06    8.4343e-10    7.2214e-09     2.294e-08    9.2959e-07    5.1754e-06    6.5638e-06    1.2647e-05    1.0754e-08    3.8618e-06    7.6651e-06    4.0112e-06    1.6324e-06    1.9842e-05    2.0497e-08    9.3491e-06    1.1412e-06    5.1365e-06     5.562e-06    1.5011e-08    1.4211e-06    2.0069e-08    1.3398e-06    1.5441e-10 
       5     0.00256            0      0.0012853     0.0012851     0.0015569    8.2445e-05    6.9654e-05    7.7599e-05    9.6517e-05    5.3416e-05     3.932e-05    3.1795e-05    5.1308e-05    4.1761e-05    3.8181e-05    0.00060315    0.00033581    1.3505e-05    3.6261e-05    4.1592e-05    0.00010993    2.3823e-05    0.00033127    7.1321e-05    3.5691e-05    0.00043127    6.8707e-05    3.9018e-05    0.00026185    8.3913e-05    8.6005e-05    2.1625e-05    2.5278e-05    1.3826e-05    1.8998e-05    1.2486e-05    1.1709e-05    1.3572e-05    1.4047e-05    1.3282e-05     1.265e-05    1.1193e-05    1.0086e-05    7.3933e-06    8.6827e-06    1.5221e-05    1.4866e-05    9.3644e-05    7.6531e-06     1.462e-05    1.9785e-05    5.0387e-05     6.144e-05     0.0001589    2.4028e-06    2.6176e-06    3.3438e-06    9.6276e-06    2.7525e-06    3.1005e-05    3.2162e-06    4.7618e-06    9.7718e-07    4.7296e-06    3.7187e-06    8.5971e-07    1.3145e-06    2.2347e-06    2.4863e-05    4.7572e-06    1.7653e-06    9.1716e-06    8.9631e-06    1.0172e-07    6.3307e-06    5.0393e-09    2.0805e-06     5.929e-08    1.1464e-06    4.2223e-06    1.0234e-06    5.5291e-06    1.0583e-07    5.5933e-08 
       6       0.005            0     0.00034215    0.00051426     0.0020793    0.00015903    0.00015172    8.3842e-05    6.5912e-05     0.0010545    0.00022372     0.0001352    5.5321e-05     5.099e-05      1.66e-05    4.7895e-05    0.00071378    0.00037295    3.0455e-05    3.5479e-05     8.948e-06    0.00010393    4.6567e-05    7.8869e-05    3.7568e-05    4.3103e-05    0.00031015    9.4521e-05     6.441e-05    9.5869e-05    3.6073e-05    9.5322e-05    9.2138e-05    1.3877e-05    8.0267e-05    2.8121e-05    1.0155e-05    8.2042e-06    1.6675e-05     7.164e-06    6.5779e-06    1.8483e-05    2.1725e-05    2.4594e-05    2.4081e-05    1.8061e-05    9.8543e-05    3.4105e-05    1.4453e-05    1.8844e-05    5.2058e-05    6.3736e-05     0.0001648    3.5977e-06    4.2538e-06    4.4407e-06    2.5047e-06    1.7403e-05    2.6972e-05     3.954e-06    8.2544e-07    5.4927e-06    4.0153e-06    1.0766e-06    6.4264e-06    7.9549e-07    8.7285e-06    1.6897e-05    3.2409e-05    2.5378e-06    4.5413e-05    4.8079e-06    4.1048e-07    2.8406e-06    7.6216e-06    1.1133e-05    1.5378e-05    1.0677e-05    6.6373e-06    2.0667e-06    3.9858e-06    2.5958e-06    5.5881e-07     2.253e-06 
       7     0.00864            0      0.0028722     0.0026464    0.00031254    0.00033461    0.00019967     0.0001548    8.8227e-05    7.4527e-05    0.00010331     0.0001055    0.00040951    0.00014396    0.00010545     8.903e-05    0.00036122     0.0006139    8.8955e-05    0.00017906    3.7626e-05    1.1742e-05    9.5232e-05    6.4501e-05     3.266e-05    2.4706e-05    2.8907e-05    0.00029827    5.6641e-05    0.00023663    9.2911e-05    5.6739e-05     3.672e-05    0.00012345    0.00011519    0.00011214    0.00011711    0.00011687     0.0001128    0.00011519    0.00011389    0.00010087    0.00010476    9.9029e-05    9.4124e-05    9.8132e-05    4.3359e-05     2.917e-05     2.192e-05    5.4674e-05    6.5931e-05    0.00017049    3.4829e-06    4.0993e-06    6.7458e-06    5.6028e-06    9.9574e-06    2.5351e-06    3.2604e-05    3.4396e-06    5.1541e-06    1.2439e-06    5.1432e-06    5.2688e-06    6.8258e-06    9.6827e-06    1.6498e-05    3.6398e-06    3.8052e-05    4.1805e-05    0.00012454    1.4077e-06    5.5998e-06    8.0558e-06    4.3636e-06    1.8517e-05    2.0662e-05     1.952e-05    8.8497e-06    1.6073e-06    4.7881e-06    8.4498e-06    2.8948e-06    4.1645e-07 
       8     0.01372            0       0.003431      0.003249    0.00031772    0.00028917    0.00016973    0.00019247    0.00017988    0.00012927      0.001321    0.00033337    0.00017736     8.141e-05    6.9763e-05    0.00013254    9.3572e-05     7.971e-05     0.0009139    0.00013323    0.00021566    0.00020348    0.00010202    0.00037709     0.0001312    4.2609e-05    0.00012355    5.1078e-05     0.0002999    6.2379e-05    0.00019421    9.5729e-05    6.9198e-05    3.6408e-05    3.5064e-05    7.4807e-05    5.0721e-05    3.7123e-05    3.1567e-05    3.2583e-05    2.6438e-05    2.8091e-05    1.7026e-05    2.1745e-05    3.0962e-05    4.6359e-05    2.5193e-05    2.2086e-05    5.6519e-05    6.8216e-05    0.00017658    3.9486e-06    4.7637e-06    7.0638e-06    5.8245e-06    1.0538e-05     2.044e-05     2.826e-05    4.1475e-06    9.0193e-07    5.5685e-06     3.922e-06    1.7545e-06    7.1055e-06    1.7426e-06     1.165e-05    3.4056e-06    2.6393e-05    6.8776e-06    7.9685e-06    4.8313e-06     1.538e-05    1.5119e-05    6.7169e-06    3.7006e-06     2.013e-05    5.8807e-06    1.9824e-05    3.0777e-06    8.5074e-06    4.8324e-06    2.6048e-06    1.8896e-06    8.3025e-07 
       9     0.02048            0     0.00028503    0.00067598    0.00043826    0.00042815    0.00033024    0.00022391    0.00017753    0.00013368    0.00012998    9.7978e-05    0.00020429    9.1207e-05    0.00018038    9.4041e-05    0.00014544    0.00061813    9.6464e-05    0.00069639    0.00020738    5.1648e-05    0.00010533     5.751e-05    0.00011958    5.1727e-05    5.8516e-05    4.8151e-05    6.1452e-05    0.00027723    0.00010393     0.0001161    0.00011129    0.00012498    7.3927e-05    6.7208e-05     8.431e-05    5.4926e-05    5.4524e-05    4.7333e-05    4.5128e-05    3.7028e-05     3.518e-05    3.9297e-05    3.7072e-05     2.403e-05    2.6488e-05     6.049e-05    7.0637e-05    0.00018242    3.8429e-06    4.4673e-06    6.8638e-06    6.1736e-06    1.1002e-05    2.1288e-05    2.9695e-05    3.8436e-05    3.6715e-06    6.4164e-06    2.4014e-06    6.9145e-06    6.0554e-06    7.3099e-06    1.0738e-05    1.6829e-05     1.778e-05    3.5635e-05    2.6119e-06    5.3084e-05    1.5728e-05    1.0649e-05    2.4859e-05    9.3205e-06    1.4896e-05    7.1823e-06    2.8405e-05    1.0521e-05    6.5812e-06    9.4696e-06    8.8101e-06    3.3637e-06     1.754e-06     1.736e-06 
      10     0.02916            0       0.004274     0.0016076    0.00077901    0.00039339    0.00032964    0.00032925    0.00019144    0.00017687    0.00018816     0.0010773    0.00029709    0.00019095    0.00022435    0.00013644    0.00012392    0.00012676    0.00015076    0.00030904    0.00075159    0.00017671    0.00012139    8.9551e-05    0.00032683    0.00025585    0.00010736    0.00016812    6.7748e-05    4.8797e-05     0.0002603    0.00014919     9.662e-05    5.3969e-05    7.9171e-05    5.9478e-05    3.9408e-05    4.6625e-05    3.2414e-05     3.076e-05    2.7195e-05    4.0206e-05    5.5334e-05    5.4441e-05    5.3525e-05    5.5795e-05    4.7979e-05    7.6403e-05    0.00018876    4.7054e-06    5.2437e-06    7.8527e-06    6.8942e-06    1.2499e-05     2.318e-05     3.222e-05    4.1387e-05    5.4658e-06    8.0965e-06      6.81e-06    5.4877e-06     1.827e-06    8.1695e-06    3.3325e-06    1.2852e-05    4.4023e-06    3.1395e-05    4.3077e-05    4.8681e-05    0.00014168    2.9253e-06    7.3709e-06    1.0431e-05    1.2969e-05    1.5556e-05    2.4476e-05    1.0131e-05     2.059e-05    1.1287e-05    8.0414e-06    1.0893e-05    5.1143e-06    2.3579e-06    3.7678e-06 
      11        0.04            0      0.0024741     0.0016863     0.0015146     0.0012551    0.00031843    0.00024075    0.00023464    0.00025773    0.00020427    0.00015641    0.00022525    0.00058677     0.0002045    0.00015614    0.00010739    0.00013416     0.0003752    0.00010219    0.00014484    0.00080674    0.00025584     0.0001924    8.8862e-05    0.00012737    0.00022187    7.8448e-05    0.00012634    7.2998e-05    4.6807e-05    0.00027412    0.00029781    9.8455e-05    8.9523e-05    7.3953e-05    4.8112e-05    7.8088e-05    8.6559e-05    9.7284e-05    0.00011135    0.00010529    9.7069e-05    9.4584e-05    9.8191e-05    8.4583e-05    8.0551e-05        0.0002    5.2405e-06    6.6734e-06    8.7319e-06    7.9086e-06    1.2614e-05    2.3781e-05    3.3196e-05    4.2468e-05    5.3647e-06    7.4885e-06    7.1704e-06    5.8771e-06    6.8667e-06    7.1402e-06    7.6174e-06    1.1717e-05    1.8862e-05    1.9319e-05    3.8886e-05    9.4952e-06    5.6407e-05    6.9212e-06    1.8831e-05    1.8029e-05    1.0117e-05    7.3748e-06    2.3579e-05    2.5868e-05    3.8004e-05    9.2526e-06    7.5109e-06    7.2322e-06    1.2406e-05    8.3703e-06    3.8649e-06    2.7414e-06 
      12     0.05324            0     0.00012193     0.0017565    0.00025805    0.00022615     0.0011226    0.00025832    0.00035469     0.0003996    0.00022231    0.00020037    0.00098107    0.00027656    0.00019131    0.00026206    0.00021271    0.00023388    0.00037203    0.00020194    0.00027446    0.00016922    0.00065387    0.00024087    0.00015457    0.00027655    0.00011284    0.00017069    0.00011074    0.00013443    8.2751e-05    6.1854e-05    0.00011666    0.00029537    0.00030534     0.0003362    0.00035298    0.00033547    0.00031098    0.00030192    0.00028467    0.00027429    0.00025799    0.00024638    0.00023137    0.00022376    0.00021088    7.0283e-06    5.7873e-06    9.0902e-06    7.5675e-06    1.3084e-05    2.5007e-05    3.4617e-05    4.4931e-05    5.6105e-06    8.3709e-06    8.3943e-06    6.4302e-06    8.5215e-06    7.9789e-06    9.2174e-06     3.945e-06     1.411e-05    3.7031e-06    3.4361e-05    4.8925e-05    5.2207e-05    0.00015667    1.7994e-05    1.4245e-05     3.292e-05    1.0747e-05    1.8044e-05    2.7517e-05    1.1086e-05    3.2406e-05    1.7282e-05    7.8136e-06    1.0129e-05    1.4676e-05    5.0529e-06    4.4204e-06     2.567e-06 
      13     0.06912            0     0.00044563    0.00062939    0.00029172    0.00029416     0.0002238     0.0010654    0.00026203    0.00021376    0.00024994    0.00048282    0.00022267    0.00033811    0.00031724    0.00027537    0.00024492    0.00019035    0.00017184    0.00032864    0.00019109    0.00024321    0.00017892    0.00062139    0.00031668    0.00012834    0.00016175    0.00015448    0.00020578    0.00010578    0.00012242    0.00011025    6.6521e-05     9.561e-05    6.0905e-05    5.4058e-05    6.0544e-05     3.412e-05    3.9781e-05    1.8746e-05    2.4033e-05    1.5129e-05    1.6192e-05    1.4556e-05    1.0781e-05    9.9586e-06    1.1627e-05    8.5109e-06    1.0178e-05    8.4197e-06    1.4261e-05    2.6158e-05    3.6719e-05     4.764e-05    6.6884e-06      9.46e-06    8.3335e-06    6.2872e-06    9.7121e-06    7.8595e-06    8.6978e-06    8.2665e-06    1.2539e-05    1.9055e-05    2.2804e-05    4.4074e-05    9.0275e-06     6.283e-05    1.8503e-05    9.1587e-06    1.1035e-05    1.2468e-05    1.8256e-05    2.2234e-05    3.3208e-05    4.0215e-05     1.184e-05    1.2134e-05    1.8864e-05    1.8107e-05    7.8013e-06    4.1854e-06    2.5854e-06    3.6067e-06 
      14     0.08788            0     2.7692e-05    0.00011258    0.00015714    0.00018719    0.00024969     0.0002341     0.0002194     0.0002997    0.00023055    0.00021507    0.00024642    0.00093378    0.00060538    0.00026744    0.00021516    0.00022332    0.00021308    0.00022722     0.0001568    0.00027063    0.00028473    0.00022354    0.00059183    0.00029627    0.00026488    0.00015886    0.00010329    0.00020751    8.6314e-05    7.7284e-05    9.1775e-05    8.5207e-05    9.4539e-05    5.4411e-05    4.2814e-05    5.0591e-05    4.4493e-05    3.7647e-05    1.9103e-05    2.5237e-05    1.9767e-05    1.5647e-05    1.2295e-05    9.1598e-06    1.0253e-05    1.3475e-05    8.1531e-06    1.5141e-05    2.8588e-05    3.8919e-05    4.9911e-05    6.6534e-06    9.2809e-06    8.9395e-06    7.5294e-06    9.8435e-06    7.6118e-06    9.1958e-06    9.6437e-06    1.2616e-05    1.4192e-05    7.0632e-06    3.7571e-05    5.1544e-05    5.7223e-05    0.00017356    2.0618e-05    2.0142e-05    2.3504e-05    1.4416e-05    8.7277e-06    2.9928e-05    3.6901e-05    4.4328e-05    3.1237e-05    1.3745e-05    1.0999e-05    1.5497e-05    7.4374e-06    4.1713e-06    3.6141e-06    2.0587e-06 
      15     0.10976            0     6.2377e-05    8.9179e-06    7.7238e-05    0.00018316    0.00019603     0.0002237    0.00095748    0.00023778    0.00020485    0.00022307    0.00019042    0.00017947    0.00025529    0.00026221    0.00026292    0.00020942    0.00022345    0.00038967    0.00038914    0.00016622    0.00022818    0.00021583    0.00018077    0.00061925     0.0003015    0.00020821    0.00016871    0.00014729    0.00020877    0.00010151    8.6507e-05    7.0952e-05    7.5213e-05    9.0405e-05    7.3579e-05    5.1028e-05    3.9957e-05    3.6882e-05    3.4497e-05    2.0327e-05    2.4158e-05    1.8067e-05    1.4542e-05    1.2567e-05     1.123e-05    1.0807e-05    1.3905e-05    2.7038e-05    3.8377e-05    5.0467e-05    6.3451e-06    9.1719e-06     8.942e-06    7.0651e-06    9.7396e-06    7.7734e-06    8.9518e-06     9.839e-06    1.2099e-05    1.3747e-05    2.0919e-05     2.277e-05    4.5185e-05     9.298e-06    6.8659e-05    2.0917e-05    1.0986e-05    1.9871e-05     4.187e-05    1.4653e-05    2.3518e-05    3.4798e-05    1.5378e-05    5.0961e-05    1.5755e-05    1.6272e-05     1.581e-05    1.9165e-05    1.0034e-05    5.0357e-06     2.272e-06    5.8772e-06 
      16       0.135            0     0.00067668    0.00016484    0.00010206    0.00022055    0.00021446    0.00020318    0.00020174    0.00021683    0.00029281    0.00024581    0.00024746    0.00019926    0.00093583    0.00030972    0.00024377    0.00026568    0.00027157    0.00020065    0.00020283    0.00019492    0.00026097    0.00023654     0.0001996    0.00016735    0.00057341    0.00034605    0.00022179    0.00013097    0.00014925    0.00018074    0.00011609    0.00010213    7.6786e-05    5.9137e-05    6.6066e-05    6.5289e-05     5.125e-05    4.9086e-05    3.0166e-05     2.885e-05    1.8502e-05     2.211e-05    2.6104e-05    2.9655e-05    3.0731e-05    3.0467e-05    2.9062e-05    4.0201e-05    5.2071e-05    6.4612e-06    9.0366e-06    8.6357e-06    7.5851e-06    1.0696e-05    7.9744e-06    9.8903e-06    1.0929e-05    1.2925e-05    1.4669e-05    2.4034e-05    2.6375e-05    3.9303e-05    5.5954e-05    6.2357e-05    0.00019027    2.2937e-05    1.7523e-05    2.1037e-05    1.5793e-05    2.3694e-05    3.0868e-05    4.1142e-05     4.326e-05    2.2484e-05    2.3444e-05    1.3995e-05    1.7069e-05    1.7459e-05    1.5586e-05     1.009e-05    9.0603e-06    5.0905e-06 
      17     0.16384            0     5.8231e-06    5.0833e-05    0.00019203    0.00023346    0.00025489    0.00020182    0.00020822    0.00088279    0.00022229    0.00021902     0.0004407    0.00026493    0.00018215    0.00053717    0.00029712    0.00020061    0.00017474    0.00022457    0.00035078    0.00036707     0.0001608    0.00020279    0.00019234    0.00016563    0.00013518    0.00057006    0.00029951    0.00025396    0.00017992    0.00013914    0.00015043    9.7312e-05    9.1432e-05    7.6532e-05    5.9744e-05    5.7398e-05    6.4416e-05    4.4405e-05     6.149e-05    6.1248e-05    6.1982e-05    5.7578e-05    5.2946e-05    4.6737e-05    4.6463e-05    4.3471e-05    4.1578e-05     5.424e-05    6.3233e-06     9.214e-06    1.0667e-05     8.358e-06    1.0993e-05    8.6125e-06    1.0513e-05    1.1469e-05    1.3473e-05    1.5858e-05    2.5827e-05    2.5385e-05    4.1655e-05    4.9705e-05    1.1235e-05    7.5625e-05    2.3351e-05    1.3179e-05    2.5312e-05    5.2122e-05    1.9611e-05    2.3489e-05     3.662e-05    4.6654e-05    5.7275e-05     2.457e-05    2.0947e-05    2.9954e-05    2.7522e-05    1.8438e-05    1.0716e-05    9.1332e-06    6.5829e-06    2.9672e-06 
      18     0.19652            0     3.2338e-05    4.7739e-05    0.00021932    0.00024025    0.00027886    0.00026854    0.00025813    0.00021331    0.00036224    0.00022974     0.0002017    0.00019121    0.00021877    0.00082544    0.00036021    0.00026515    0.00020909    0.00019463    0.00021787    0.00018828    0.00034954    0.00023734    0.00022717    0.00018462    0.00018947      0.000123    0.00055461    0.00025571    0.00023052    0.00021202    0.00012311    0.00016383    0.00014609    0.00015617    0.00013235    0.00012776    0.00011827    0.00012446    9.9305e-05    8.7116e-05    8.1776e-05    7.5654e-05    7.0713e-05    6.6468e-05    6.2351e-05    6.0271e-05    5.6463e-05    7.0528e-06    1.2406e-05     1.162e-05    8.5018e-06    1.2002e-05    9.1255e-06    1.1109e-05    1.2052e-05    1.4093e-05    1.6893e-05    2.6379e-05    2.5088e-05    4.6432e-05    5.0903e-05    5.9509e-05      6.75e-05    0.00020717    2.7389e-05    2.1317e-05    2.8552e-05    1.9463e-05    2.4221e-05    3.3581e-05    4.1764e-05    2.0453e-05     6.758e-05    3.8771e-05    2.0675e-05    2.7063e-05    2.6409e-05    1.5387e-05    6.8845e-06    6.4174e-06      7.01e-06    2.2248e-06 
      19     0.23328            0     2.7827e-05    0.00062964    0.00031839    0.00035773    0.00022081    0.00023002    0.00024233    0.00023535    0.00081654     0.0002782    0.00025271    0.00020798    0.00019293    0.00026762     0.0002459    0.00029201    0.00027481    0.00028441    0.00021518    0.00032694    0.00015692    0.00032619    0.00022197    0.00018065    0.00015387    0.00015544     0.0001431    0.00049243    0.00024001     0.0002182    0.00022249    9.6455e-05    9.6374e-05    6.5527e-05    7.8455e-05    6.0534e-05    5.7694e-05    5.2402e-05    4.7174e-05    2.9643e-05    1.9205e-05    1.6585e-05    1.4341e-05    1.2947e-05    1.0828e-05    7.9839e-06      7.91e-06    1.2406e-05    1.1321e-05    9.2007e-06     1.201e-05    9.8077e-06    1.2007e-05    1.2688e-05    1.4748e-05    1.7933e-05    2.7748e-05    2.7592e-05    4.9619e-05    5.4173e-05    6.8465e-05    7.2439e-05    8.1996e-05    2.5382e-05    1.5237e-05    2.8876e-05    5.2198e-05    2.3894e-05    3.6832e-05    4.4328e-05    5.3812e-05    5.4461e-05    3.2861e-05    2.5399e-05    2.8094e-05    2.3939e-05    3.0799e-05    1.4971e-05    1.0352e-05    6.2716e-06    4.3196e-06    1.6235e-06 
      20     0.27436            0     3.3098e-06    0.00010242    0.00072231     0.0003499    0.00032682    0.00025434     0.0002121    0.00023138    0.00024827     0.0002674    0.00024431    0.00028543    0.00021406    0.00018767     0.0010202     0.0003234    0.00025671        0.0002    0.00021606    0.00018887    0.00024103    0.00018937    0.00033664    0.00023834     0.0001785    0.00017329    0.00014989    0.00017831    0.00045185    0.00023903    0.00023318    0.00025716    0.00013418    9.7278e-05    7.9883e-05    6.0598e-05    4.7348e-05    3.9893e-05     3.952e-05    4.4018e-05    3.3796e-05    2.3382e-05    1.8307e-05    1.7217e-05    1.3345e-05    1.2028e-05    1.2881e-05     1.221e-05    8.7837e-06     1.223e-05    1.0349e-05    1.2355e-05    1.3202e-05    1.4899e-05    1.8429e-05    2.9027e-05    2.7936e-05    4.6304e-05    5.5304e-05    7.2809e-05    7.3951e-05    8.4159e-05    0.00022514    3.2464e-05    2.5844e-05    3.0072e-05    2.3672e-05     3.187e-05    3.5249e-05    5.3427e-05    5.9766e-05    7.4494e-05      4.27e-05    2.7562e-05    3.5305e-05    2.9445e-05    2.8517e-05    1.8809e-05    7.5113e-06    5.3132e-06    3.2247e-06    1.2751e-06 
      21        0.32            0     4.0326e-05    0.00030725    0.00040297    0.00025423    0.00032626    0.00035706    0.00035508    0.00023302    0.00022484    0.00079032     0.0002657    0.00046111    0.00026193    0.00020661    0.00020886    0.00027995    0.00028178    0.00021902    0.00023206    0.00026368    0.00026583    0.00019491    0.00018552    0.00034859    0.00021404    0.00015956    0.00014765    0.00014077    0.00018475    0.00042594    0.00022193    0.00021485    0.00024302    0.00016083    8.1417e-05    7.7533e-05    6.0496e-05    5.4381e-05    5.1758e-05    3.8679e-05    3.4349e-05    2.4941e-05    1.9435e-05    1.6799e-05    1.3938e-05    1.6693e-05     1.194e-05    9.3607e-06    1.2907e-05      1.06e-05    1.2301e-05    1.3955e-05    1.6286e-05    2.0551e-05    3.0446e-05    2.8647e-05    4.9311e-05    6.0469e-05    7.6976e-05    7.8733e-05    8.9212e-05    0.00023745    2.7443e-05     1.814e-05    3.3771e-05    6.2653e-05    2.7163e-05    3.1956e-05    4.7799e-05    6.4357e-05    6.2364e-05    8.1039e-05    3.7519e-05    2.4947e-05    3.1699e-05    3.2265e-05     1.368e-05     1.228e-05    7.2846e-06    5.4901e-06    3.1917e-06    1.1682e-06 
      22     0.37044            0     0.00023294    0.00035244    0.00045546    0.00075563    0.00031229    0.00028502    0.00029425    0.00035972     0.0003101    0.00021309    0.00027656    0.00023736     0.0002771    0.00027756    0.00026891    0.00099677    0.00032786    0.00034411    0.00027889    0.00026493    0.00023967    0.00019043    0.00018571    0.00019358    0.00037098    0.00021014    0.00018852    0.00015742    0.00014164    0.00012145    0.00040888    0.00020695    0.00020055    0.00022949    0.00018826    0.00011644    6.4838e-05    4.8106e-05    3.5948e-05    3.8314e-05    3.6046e-05    3.6836e-05    2.5496e-05    1.9875e-05     2.306e-05    1.2613e-05    1.1143e-05    1.4371e-05    1.2224e-05    1.4417e-05    1.6029e-05    1.8086e-05    2.2022e-05    3.1863e-05    3.1222e-05    5.2833e-05    6.1312e-05    7.7711e-05    8.4293e-05    9.2935e-05    0.00025461    2.8345e-05    3.6752e-05    2.9477e-05    3.3783e-05    2.6401e-05    3.5913e-05    5.5604e-05     6.108e-05    6.7116e-05    7.8936e-05     4.101e-05    3.4416e-05    3.1014e-05    3.3545e-05    4.0701e-05    1.7453e-05    8.6475e-06    8.5631e-06    6.7756e-06    1.4911e-06    7.2952e-07 
      23     0.42592            0     0.00029162    0.00046138    0.00031538    0.00034379     0.0003491    0.00031806    0.00030218    0.00028845    0.00030803    0.00045695    0.00082281    0.00030326    0.00024415    0.00025996    0.00025777    0.00023113    0.00029724    0.00026635    0.00026143    0.00022059     0.0002953    0.00031604    0.00023306    0.00017628    0.00016491    0.00033795    0.00019735    0.00017093    0.00013271    0.00018377    0.00011522    0.00039488    0.00020019    0.00019177    0.00022323    0.00018572    0.00014722    6.2895e-05    5.8869e-05    4.9341e-05    3.5662e-05    2.7547e-05    2.6304e-05    2.4258e-05    1.6436e-05    1.7056e-05    1.5318e-05    1.3109e-05    1.5197e-05    1.6912e-05    1.9571e-05    2.3228e-05    3.3184e-05    3.3049e-05    5.4969e-05    6.3694e-05    8.1443e-05    9.2152e-05    9.8479e-05     0.0002707    3.0757e-05    3.7149e-05    2.0772e-05    3.7402e-05    6.8201e-05    2.9496e-05    4.4933e-05    4.7792e-05    7.1831e-05    7.0678e-05    8.4202e-05    5.2508e-05    3.3825e-05    4.0312e-05     3.394e-05    3.3604e-05    1.8482e-05    9.9294e-06    5.1955e-06    5.1191e-06    1.6163e-06    7.0826e-07 
      24     0.48668            0      0.0002901    0.00049108    0.00051896    0.00038724     0.0006911    0.00038944    0.00034984    0.00029417    0.00029041    0.00028558    0.00031895    0.00038626    0.00055154    0.00029819    0.00027484    0.00026173    0.00099713    0.00032376    0.00027818    0.00023412    0.00024478    0.00024885    0.00022005    0.00023597    0.00019419    0.00017376    0.00027357    0.00019773     0.0001918    0.00013258    0.00015692    0.00011012    0.00037167    0.00019315    0.00017796    0.00020954    0.00018155    0.00017421    8.6243e-05    4.1579e-05    3.7913e-05     3.563e-05    3.2783e-05    2.5641e-05    2.1445e-05    1.8821e-05    1.4463e-05    1.6343e-05     1.753e-05    2.0377e-05    2.4234e-05    3.5178e-05    3.4218e-05    5.6955e-05    6.7332e-05    8.6938e-05    9.4844e-05    0.00010266    0.00028488    3.0489e-05    3.8587e-05    3.9234e-05    4.2459e-05    4.1086e-05    3.0816e-05    3.8204e-05    4.8308e-05      6.13e-05    7.5699e-05    8.9302e-05    6.0192e-05    4.6194e-05    2.9147e-05    4.0222e-05     3.291e-05    2.1313e-05    2.1221e-05    7.8662e-06    6.1832e-06    2.6112e-06    1.2394e-06    4.1429e-07 
      25     0.55296            0     0.00034886    0.00054564     0.0003598    0.00041642    0.00040996    0.00038122    0.00033129    0.00039141    0.00031244    0.00028671     0.0002686    0.00074489    0.00035707    0.00029461    0.00030511    0.00030655    0.00027135    0.00082597    0.00033909    0.00033836    0.00026906    0.00032757     0.0003016    0.00023994     0.0002295    0.00021141    0.00018523    0.00025468    0.00018033    0.00018298    0.00016168    0.00014892     0.0001159    0.00036377    0.00018692    0.00017482    0.00020685    0.00017002    0.00015799    0.00010993    6.4411e-05    3.7904e-05    2.8845e-05    2.6237e-05    2.2886e-05    1.9497e-05    1.7792e-05    1.8433e-05    2.1506e-05    2.7071e-05    3.8011e-05    3.7192e-05    6.1647e-05    7.1335e-05    9.1216e-05    9.7986e-05    0.00010722    0.00030009    3.2029e-05     4.195e-05    4.2492e-05    4.1105e-05    4.3136e-05     7.455e-05    3.8569e-05    5.0696e-05    6.4832e-05    8.1879e-05      8.16e-05    9.7587e-05    5.8109e-05    4.4425e-05    3.8705e-05    3.7137e-05    5.2649e-05    1.6796e-05    1.1706e-05    8.4806e-06    5.5294e-06    2.3967e-06    1.3932e-06    3.8848e-07 
      26       0.625            0     0.00050916    0.00043448    0.00029056    0.00033958    0.00039168    0.00068442    0.00042035    0.00037173    0.00031971    0.00031685    0.00029647    0.00029559    0.00032573    0.00035694    0.00029918    0.00027882    0.00028098    0.00047446    0.00083916    0.00032437    0.00027897    0.00026221    0.00027574    0.00023256    0.00024796    0.00021828    0.00025244    0.00020881    0.00024856    0.00017967    0.00017093    0.00015386    0.00014931    0.00010447    0.00035471    0.00018097    0.00015795    0.00019608    0.00016415    0.00015341    0.00011201     7.627e-05    5.2597e-05    4.1435e-05    2.5243e-05    2.1282e-05    2.0172e-05     2.325e-05    2.9967e-05    4.0345e-05     3.975e-05    6.4076e-05    7.3863e-05    9.5794e-05    0.00010062    0.00011037    0.00031564    3.4303e-05    4.2776e-05    4.4402e-05    4.3431e-05     4.693e-05    4.7274e-05    3.3986e-05    4.0786e-05    6.0493e-05    7.4885e-05    8.2463e-05    0.00010034    6.6453e-05    5.1471e-05    3.9067e-05    4.5767e-05    4.8313e-05    4.2517e-05    2.2504e-05    1.4047e-05    8.5824e-06    1.0014e-05     3.882e-06    1.2675e-06    1.7847e-07 
      27     0.70304            0     0.00039586    0.00037749    0.00035324    0.00035324    0.00032519    0.00039467    0.00040731    0.00035875    0.00039667    0.00034295    0.00032867    0.00031008    0.00073077    0.00054231    0.00032008    0.00033377    0.00030678    0.00030316    0.00030173    0.00081776    0.00034896    0.00030184    0.00031536    0.00030286    0.00023134    0.00024431    0.00021605    0.00021356    0.00018578    0.00023518    0.00015624    0.00016835    0.00014671    0.00015525    0.00010646    0.00032641    0.00017673    0.00016221    0.00019032    0.00015901    0.00014743    0.00011184    8.0441e-05    5.1608e-05     4.729e-05    3.2036e-05    2.5764e-05    3.1658e-05    4.2304e-05     4.156e-05    6.7196e-05    7.7518e-05    0.00010043    0.00010491    0.00011381    0.00033057    3.3753e-05    4.3916e-05    4.6434e-05    4.7622e-05    4.4835e-05    5.0127e-05    8.1155e-05    4.3836e-05    5.6797e-05    6.8598e-05    9.1887e-05    8.8986e-05    0.00010332    6.8997e-05    5.0446e-05    3.4887e-05    4.7732e-05    3.9671e-05    2.4342e-05    2.3883e-05    1.0441e-05    7.3855e-06    5.0826e-06    1.7564e-06    9.4488e-07    5.1078e-07 
      28     0.78732            0     0.00020681    0.00035156    0.00038514    0.00031557    0.00036163     0.0003109    0.00059747    0.00038998    0.00031877    0.00035816    0.00043575    0.00032574    0.00030392    0.00035929    0.00037203    0.00033057    0.00032136    0.00028555     0.0004791    0.00030267    0.00082685     0.0002841    0.00032159    0.00026515    0.00023935    0.00024304    0.00022203    0.00023503    0.00022247    0.00019416    0.00023008    0.00015917    0.00015213    0.00013899    0.00014897    0.00012186    0.00031774    0.00016326    0.00015698    0.00018727    0.00015572    0.00014323    0.00010461    8.1728e-05    5.3362e-05    4.7097e-05    3.1239e-05    4.3042e-05    4.4893e-05     7.073e-05    8.0185e-05    0.00010321    0.00010798     0.0001185      0.000349    3.9107e-05    4.6717e-05    4.6137e-05    5.0586e-05    4.7882e-05    5.4194e-05     8.801e-05    4.3803e-05    4.8544e-05    6.5977e-05    8.4039e-05    9.3276e-05    0.00011345    7.7395e-05      5.05e-05     5.567e-05    4.3823e-05    4.6006e-05    5.7092e-05    2.2135e-05    1.6128e-05    1.0054e-05    6.6929e-06    3.8336e-06    1.3807e-06    1.2956e-06    2.6308e-07 
      29     0.87808            0     1.4297e-05    5.5411e-05    0.00015561    0.00033422    0.00029275     0.0003194    0.00031106    0.00029692    0.00036619    0.00032323    0.00033682    0.00032808    0.00033918    0.00069637    0.00035912    0.00035498    0.00030556    0.00032255    0.00029234    0.00037863    0.00029305    0.00085824    0.00029882    0.00035561    0.00028915     0.0002336    0.00024104    0.00021129    0.00021068    0.00019144    0.00020762    0.00024274    0.00016688    0.00014995     0.0001287    0.00014288    0.00013449    0.00031653     0.0001651    0.00015285     0.0001808    0.00015018    0.00013985    0.00010134    7.9494e-05    4.9123e-05    4.2542e-05    4.9006e-05    7.2363e-05    8.2458e-05    0.00010407    0.00011122     0.0001226    0.00036277    3.8654e-05    4.6354e-05    4.9091e-05    5.2433e-05    5.1403e-05    4.7719e-05    9.0996e-05    4.3585e-05    5.3058e-05    6.0515e-05    8.0632e-05    9.9655e-05     9.811e-05    0.00012375    7.5649e-05    5.8817e-05    4.1771e-05    5.5072e-05    5.1951e-05    5.4303e-05    2.9163e-05    1.7203e-05    1.1193e-05    8.2001e-06    3.7253e-06    1.7346e-06    6.4584e-07    2.9462e-07 
      30     0.97556            0     1.5592e-05     6.288e-05    0.00029113    0.00022006    0.00028829    0.00029211    0.00028909    0.00057965    0.00029919    0.00034078    0.00030705    0.00032627    0.00030192    0.00033016    0.00054519    0.00035304    0.00034373    0.00030991    0.00030512    0.00043551    0.00031933    0.00029047    0.00081719    0.00035503    0.00030095    0.00023972    0.00023632    0.00022241    0.00022586    0.00021372    0.00019644    0.00017906    0.00024421    0.00015842     0.0001516    0.00012995    0.00013342    0.00014372    0.00030869    0.00016693    0.00014942    0.00017738    0.00014632    0.00013437     0.0001028    8.3171e-05    5.3254e-05    7.4915e-05    8.3936e-05    0.00010916    0.00011891    0.00013117    0.00037647    3.9616e-05    4.8748e-05     4.784e-05    5.0106e-05    5.6572e-05     5.348e-05    0.00010077    4.8786e-05    5.0477e-05    6.2787e-05    7.4939e-05    9.0488e-05    0.00010438    0.00012416    7.8924e-05    6.4516e-05    6.4044e-05    4.1734e-05    5.0468e-05    5.3023e-05     3.212e-05    2.8747e-05    1.3254e-05    8.9865e-06    1.2646e-05    4.7766e-06     1.162e-06    1.0167e-06    1.2157e-07 
      31        1.08            0      2.009e-06    8.4115e-05    0.00014086    0.00019115    0.00020396    0.00024344    0.00027428    0.00026584    0.00035469    0.00028651    0.00030673    0.00029405    0.00032498    0.00028812    0.00066387    0.00037376    0.00036465    0.00033694     0.0003263    0.00030089    0.00034337    0.00028444    0.00031207    0.00079651    0.00046998    0.00030834    0.00024364    0.00023296    0.00020973    0.00022196    0.00018257    0.00020129     0.0001734    0.00022743    0.00014764    0.00013231    0.00012231    0.00012902    0.00015056    0.00030284    0.00016774    0.00015002    0.00017386     0.0001446    0.00012902     9.412e-05    8.1378e-05    8.9666e-05    0.00011664    0.00012325    0.00013683    0.00038983    4.4983e-05    5.4585e-05    5.5022e-05    6.0869e-05    5.6313e-05    5.2801e-05    9.1757e-05    4.5848e-05     5.242e-05    7.0419e-05    7.5328e-05    8.5295e-05    0.00010772    0.00011289    0.00013028    8.3755e-05    6.5203e-05     5.008e-05     5.915e-05    5.6615e-05    6.7627e-05    2.7566e-05    1.8409e-05    1.3583e-05    1.0187e-05    7.1495e-06    2.5855e-06    2.0726e-06    3.8205e-07    3.4988e-08 
      32      1.1916            0     2.1045e-05    0.00010101    0.00015504    0.00012678    0.00017981    0.00020223    0.00023673    0.00027272    0.00050204    0.00028367    0.00029456    0.00039382     0.0002777    0.00030344    0.00030077    0.00035716    0.00034622    0.00031703    0.00032341    0.00030444    0.00045353    0.00033316    0.00027912    0.00026717    0.00075641    0.00051343    0.00027591    0.00024835    0.00023973    0.00022719     0.0002281    0.00018801    0.00016882    0.00016726     0.0002229    0.00015797     0.0001457    0.00012033    0.00011207    0.00013717    0.00029458    0.00016934    0.00015332    0.00016828    0.00013702    0.00012934    9.2473e-05    0.00012043    0.00012768    0.00014178    0.00040429    4.6946e-05    5.7938e-05    5.9902e-05     6.134e-05    5.6724e-05    6.2872e-05    0.00010798    5.0209e-05    5.7271e-05    6.5436e-05    8.0075e-05    8.8662e-05    9.9476e-05    0.00011925     0.0001372    9.2086e-05    6.7199e-05     7.349e-05     4.997e-05    6.3142e-05    6.2697e-05    6.6211e-05    3.4725e-05    2.1142e-05    1.4951e-05    9.7165e-06    4.6302e-06    2.2135e-06    1.2443e-06    4.7156e-07    1.7007e-08 
      33      1.3107            0     1.4435e-06    6.9572e-05    5.1203e-05    0.00020997    0.00013959    0.00017036    0.00018333    0.00021465    0.00023932    0.00028308     0.0002645     0.0002629    0.00028711    0.00027749    0.00029809     0.0007843     0.0003502    0.00035005    0.00032343    0.00033448    0.00027511    0.00032958    0.00030068    0.00029192     0.0002606    0.00073405    0.00054355    0.00027957    0.00024862    0.00022359    0.00021243    0.00018071    0.00018326    0.00017687    0.00016229    0.00021707    0.00013459     0.0001226    0.00012219     0.0001264    0.00015028    0.00028856    0.00015575    0.00015127     0.0001699    0.00013927    0.00012496    0.00013315    0.00014704    0.00041649    4.8073e-05    6.2144e-05    6.2559e-05    6.4259e-05    6.2427e-05    6.4357e-05    0.00010939    3.7942e-05     6.314e-05    7.0058e-05    8.1866e-05    8.5745e-05    0.00010777    0.00012033    0.00011707    0.00014383    9.6423e-05     8.117e-05    5.3913e-05    6.6287e-05    6.2126e-05    6.5047e-05    3.4848e-05     3.577e-05    1.8767e-05    1.4017e-05    1.7669e-05    4.2663e-06    2.1232e-06    1.7764e-06    3.6116e-07     8.774e-09 
      34      1.4375            0     5.1689e-07     4.651e-05     7.846e-05     7.725e-05    0.00011616    0.00013874    0.00017728    0.00018779    0.00020048    0.00046548    0.00026277    0.00026432     0.0002647     0.0002702    0.00026541    0.00027666    0.00034587    0.00034259    0.00032071    0.00030698    0.00031986    0.00042515    0.00029949    0.00029357    0.00025783    0.00025473     0.0007095    0.00052295    0.00030349    0.00023327    0.00022948    0.00021393     0.0001849     0.0001555    0.00016496    0.00013473    0.00020668    0.00015091    0.00012461    0.00010847    0.00011065    0.00014297    0.00027799    0.00015298    0.00014457    0.00016135    0.00013667    0.00014981    0.00042734    5.2285e-05     6.616e-05    6.4274e-05     6.736e-05    6.5424e-05    6.6886e-05    0.00011865    5.4075e-05    6.1641e-05    7.7621e-05    8.2571e-05    9.8045e-05    0.00011416     0.0001286    0.00012247    0.00015058    0.00010405    7.3501e-05    7.9074e-05     5.253e-05     7.226e-05    7.4477e-05    7.9254e-05    3.4484e-05     2.147e-05      1.51e-05    1.1901e-05    9.1636e-06    7.2461e-06    1.8226e-06     8.808e-07     2.158e-07    6.2735e-09 
      35      1.5722            0     4.7793e-07     4.484e-06    2.0179e-05     8.927e-05    0.00010084    0.00012782    0.00014381    0.00015848    0.00018847    0.00018821    0.00024649    0.00024986    0.00025752    0.00027166    0.00025084    0.00026716    0.00059328    0.00033275    0.00032323    0.00030195      0.000308    0.00029011    0.00030014    0.00026176    0.00028877    0.00024595     0.0002561    0.00071933    0.00051932    0.00033991      0.000217    0.00021463    0.00018396    0.00019324    0.00017582    0.00017049    0.00014263    0.00018127    0.00013672     0.0001242    0.00010772    0.00010269     0.0001527    0.00027018    0.00015725    0.00014065    0.00015754    0.00044062    5.8568e-05    7.1301e-05    6.8679e-05    7.2164e-05    7.3867e-05    7.1429e-05    0.00012518    5.5079e-05     6.305e-05    8.3627e-05    8.2688e-05    0.00010208       0.00012    0.00013606      0.000118    0.00012808    0.00015622    0.00010574    8.7368e-05    5.9575e-05    7.6382e-05    6.5824e-05    7.6049e-05    7.1813e-05    4.0978e-05    2.5487e-05    2.2427e-05    1.3135e-05    5.4297e-06    2.6957e-06    1.7833e-06    7.0617e-07     1.763e-07    1.6231e-09 
      36       1.715            0     2.3446e-06    4.8601e-06     2.089e-05    4.4483e-05    0.00017191    9.4146e-05     0.0001274    0.00014386    0.00015344    0.00018491     0.0004196     0.0002161    0.00031383    0.00024328     0.0002636    0.00024913    0.00038511    0.00031952    0.00031875    0.00030616    0.00029526    0.00030333    0.00043753    0.00029368    0.00026571    0.00027502    0.00024433    0.00023974    0.00066204    0.00050057     0.0003631    0.00027204    0.00022035     0.0001863    0.00015697    0.00016973     0.0001514    0.00013292    0.00017992    0.00012935    0.00011428    0.00010451    0.00010112    0.00014804    0.00031753    0.00038991    0.00045215    6.3231e-05    7.5346e-05    7.2142e-05    7.5019e-05    7.8816e-05    7.2904e-05    0.00013081    6.1996e-05    6.8058e-05    8.8657e-05    8.9623e-05    0.00010208    0.00012665    0.00014094    0.00013053    0.00013732    0.00016646    0.00011207    8.5537e-05    8.7442e-05     6.329e-05    7.7344e-05    8.5439e-05    9.4678e-05    4.5298e-05    4.3214e-05    2.2256e-05    1.4841e-05    2.2307e-05    5.1103e-06     2.361e-06     1.259e-06     5.313e-07    1.7816e-07    6.9056e-10 
      37      1.8662            0     2.6545e-07    5.0217e-06    2.8241e-05    3.3543e-05    5.1577e-05    0.00010754    0.00010204    0.00012302    0.00014418    0.00018539    0.00017581    0.00022158    0.00020878    0.00022042    0.00022652    0.00022661    0.00025698    0.00056757    0.00031533    0.00028328    0.00027704    0.00030493    0.00029167    0.00031759    0.00028868    0.00026684    0.00026917    0.00024748    0.00022983    0.00063002    0.00049085    0.00034501    0.00031199    0.00019447    0.00018741    0.00015882    0.00015424    0.00014733    0.00012889    0.00015987    0.00011954    0.00011164    9.5384e-05    0.00010114    8.5171e-05    7.9841e-05    6.4177e-05    7.9141e-05    7.6186e-05    7.8299e-05    8.2619e-05    7.5627e-05    0.00013555    6.7076e-05     7.352e-05    9.2297e-05    9.4259e-05    0.00010634    0.00013039    0.00014872    0.00014056    0.00014487    0.00016999     0.0001629     0.0001226     8.991e-05     6.392e-05    8.1736e-05    8.0429e-05    8.6815e-05    8.9581e-05    3.7291e-05    2.4772e-05     2.354e-05    1.6027e-05    1.1408e-05    5.0308e-06    2.4673e-06    1.2747e-06    3.2091e-07    1.6266e-07    2.2846e-10 
      38      2.0261            0     5.4286e-07    3.5584e-06     1.983e-05    3.2623e-05    4.7562e-05    7.1725e-05    9.8263e-05    0.00010971    0.00012015    0.00014449    0.00014976    0.00037662    0.00020606    0.00022013    0.00022044    0.00023064    0.00023057    0.00037236     0.0003036    0.00029825    0.00027838    0.00025225    0.00027588    0.00041689    0.00029562     0.0002767    0.00023135    0.00023629    0.00024044    0.00020852    0.00060131    0.00049046    0.00034933    0.00036217    0.00023845    0.00016069    0.00015569    0.00013942    0.00012688    0.00013195    0.00015666    0.00011336    0.00010887    9.7804e-05    9.5327e-05    7.9817e-05    8.6133e-05    8.0999e-05    8.1335e-05    8.7063e-05    8.0678e-05    0.00014102    7.0866e-05    7.9493e-05    9.4026e-05     9.819e-05    0.00011323    0.00013383    0.00015626     0.0001424    0.00014955    0.00017956    0.00017182     0.0001235    8.6398e-05    9.6127e-05    7.1241e-05    8.7486e-05    9.1856e-05    0.00011044    4.2604e-05    4.8014e-05    3.0144e-05    2.3163e-05    1.5736e-05    6.5397e-06    8.4927e-06    1.6862e-06    1.9938e-06    2.0467e-07    2.4175e-08    4.6449e-11 
      39      2.1949            0     1.5332e-06    2.2585e-05    9.6032e-06    3.0291e-05     4.164e-05    0.00013071    7.8726e-05    9.6688e-05    0.00012056    0.00012092    0.00013696    0.00014626    0.00020069    0.00018863    0.00019454    0.00021355    0.00021289    0.00021602    0.00051522    0.00029968    0.00027349    0.00025963    0.00026945    0.00027719    0.00043058     0.0002878    0.00028463    0.00023748    0.00023428    0.00023673     0.0002187    0.00057744    0.00046542    0.00031807    0.00033177    0.00027744     0.0001655    0.00014778      0.000141    0.00011591    0.00012635      0.000152    0.00011416    9.9095e-05    9.7642e-05     9.455e-05    8.7858e-05    8.6754e-05    9.0304e-05    8.3993e-05    0.00014636    7.5005e-05    8.9634e-05     9.539e-05    0.00010363     0.0001177     0.0001387     0.0001581    0.00015119    0.00016217    0.00018783    0.00018232    9.3384e-05     0.0001328     9.772e-05    7.0676e-05    9.1011e-05    8.1573e-05    9.9087e-05     0.0001033      4.99e-05    5.0762e-05    2.7584e-05    1.9881e-05    2.7503e-05    5.4164e-06    2.9811e-06     1.965e-06    8.8717e-07     2.877e-07    1.3909e-08    1.6423e-11 
      40      2.3728            0     4.1159e-06    1.2542e-05    1.5038e-05    2.1111e-05    4.7981e-05    4.8526e-05    7.4995e-05    8.6505e-05    9.8551e-05    0.00011154    0.00012199    0.00014049    0.00034591    0.00026572     0.0001958    0.00019999    0.00019772    0.00020694    0.00034731    0.00027779    0.00029099    0.00025759    0.00026155    0.00027002    0.00027145     0.0004207    0.00028911    0.00024874     0.0002532    0.00023949    0.00020859    0.00020421    0.00053471     0.0004712    0.00031533    0.00032602    0.00030339    0.00020761     0.0001332    0.00013623    0.00012007    0.00012394     0.0001405    0.00010965    0.00010445    0.00010107    8.5396e-05    9.1021e-05    8.8467e-05    0.00015168    7.8247e-05    9.3924e-05     9.354e-05    0.00010794    0.00012408    0.00014565     0.0001647    0.00016859    0.00016862    0.00019881     0.0001973    9.1072e-05     0.0001292    9.4777e-05    0.00010952    7.7734e-05    9.7603e-05    0.00010733    0.00012464    4.7739e-05    4.4152e-05    2.8183e-05    2.2673e-05    1.8202e-05    1.5937e-05    5.5928e-06    2.6926e-06    1.9014e-06    6.9428e-07    2.1236e-07    5.0037e-09    2.7069e-12 
      41        2.56            0     4.9992e-06    9.9161e-06    2.4244e-05    2.6564e-05    3.3403e-05    5.1081e-05    6.1082e-05    8.5791e-05     8.744e-05     9.715e-05    0.00010964    0.00012755    0.00013345    0.00018374    0.00018645    0.00018437    0.00019696    0.00019522    0.00019954    0.00050139    0.00026944    0.00026997    0.00024373    0.00026065    0.00024696    0.00025537    0.00039451    0.00034151    0.00024129    0.00026511    0.00023109     0.0002051    0.00021161    0.00049939    0.00045445    0.00030179    0.00031259    0.00030339    0.00024951    0.00016658    0.00012203    0.00011535    0.00012531    0.00016559    0.00010961    0.00010166    9.5082e-05    9.3746e-05    0.00015745    8.1327e-05    9.9165e-05    9.8466e-05    0.00011248    0.00013081    0.00015047     0.0001701    0.00017645    0.00016548    0.00021089    0.00020345    9.0122e-05    0.00010531     0.0001362    0.00010188    6.9113e-05    9.8975e-05    8.9591e-05    0.00010346    0.00011841    5.5979e-05    5.2841e-05     3.378e-05    2.9894e-05     1.891e-05    7.6615e-06    6.0955e-06    2.6637e-06    1.5713e-06    6.3016e-07    2.1412e-07    3.2651e-09    2.8996e-13 
      42      2.7568            0     7.7981e-06    1.5369e-05    2.0348e-05    3.8876e-05    3.2557e-05    4.6239e-05    0.00012206     6.573e-05    7.4057e-05    8.6201e-05    0.00012777    0.00011092     0.0001279    0.00030827    0.00018234    0.00017142    0.00018512    0.00018792    0.00019321     0.0003296     0.0002814    0.00028705    0.00025479    0.00024062    0.00026337    0.00026852    0.00027565    0.00038134    0.00032848    0.00024189    0.00026232    0.00022523    0.00019906    0.00019995    0.00048464    0.00044264    0.00028996     0.0002989    0.00029397    0.00023925    0.00019781    0.00014692    0.00011021    9.9259e-05    0.00015653    0.00010652    9.9772e-05    0.00016228     8.412e-05    0.00010297    0.00010175    0.00011637    0.00013611    0.00015583    0.00017571    0.00018333    0.00017972    0.00022091    0.00021324     0.0001004    9.8792e-05    0.00015131    0.00010274    0.00012464     8.848e-05    0.00010866    0.00011039    0.00014152    5.4909e-05    5.6855e-05    5.6562e-05    3.1437e-05    2.1946e-05    3.5526e-05     7.432e-06    9.9115e-06    2.0738e-06    2.6415e-06    3.9958e-07    1.5878e-07    1.8938e-09    6.2252e-14 
      43      2.9635            0     1.0694e-05    1.9867e-05    2.6661e-05    3.3652e-05    4.0382e-05    4.2981e-05    5.0522e-05    6.6786e-05    7.3123e-05    8.3321e-05    9.2404e-05    0.00010495    0.00010976    0.00012623    0.00023527    0.00016781    0.00017065    0.00017936    0.00018187    0.00019092    0.00047566    0.00027611    0.00024918    0.00023395    0.00024632    0.00024351    0.00024184    0.00024426    0.00038705    0.00031724     0.0002733    0.00025458    0.00022438    0.00019946    0.00018345    0.00046766    0.00043476    0.00028412    0.00029202    0.00029148     0.0002356    0.00019244    0.00017088    0.00012772    9.6635e-05    0.00014877    0.00016547    8.6681e-05    0.00010614    0.00010762    0.00012032    0.00014102    0.00016218    0.00018084    0.00019046     0.0001881     0.0002183    0.00022457    9.9558e-05    9.6874e-05    0.00017389    0.00010319    0.00010807    8.0867e-05    0.00010763    9.6894e-05    0.00011834    0.00013267    6.0427e-05     6.189e-05    3.1803e-05    2.4705e-05    2.2381e-05    1.7687e-05    6.6445e-06    3.8323e-06     2.618e-06    7.3177e-07    2.7161e-07     1.777e-07    6.4554e-10    3.1614e-15 
      44      3.1803            0     1.3309e-05    1.8776e-05    4.5294e-05    3.4882e-05    4.4248e-05    4.3244e-05     5.044e-05    5.6457e-05    7.4395e-05    7.5923e-05    8.4813e-05    9.4823e-05    0.00011082    0.00010886    0.00029069    0.00017207    0.00016694    0.00017436    0.00018202    0.00018306    0.00031554    0.00026048    0.00028188    0.00024371    0.00024034    0.00024787     0.0002546    0.00025364    0.00024437    0.00037176    0.00030394    0.00027429    0.00024699    0.00021673    0.00019387    0.00018655     0.0004491    0.00041939    0.00026495    0.00027751    0.00027719    0.00022946    0.00018225    0.00015397    0.00013046     0.0001004    9.0781e-05    0.00010761    0.00011345    0.00012419     0.0001452    0.00016829    0.00018733    0.00019503      0.000197    0.00023575    0.00023211    0.00010367     0.0001082    0.00016089    9.9506e-05    0.00010813    0.00013462    9.6804e-05    0.00011977    0.00011906    0.00015159     6.257e-05    6.2638e-05    5.0002e-05    3.8689e-05    3.4184e-05    2.2872e-05    1.1796e-05    7.0797e-06    2.7124e-06    2.0684e-06    1.0265e-06    3.6873e-07    1.9786e-07    3.3171e-10    3.3318e-17 
      45      3.4074            0     1.3226e-05    2.3002e-05    3.5636e-05    3.4395e-05    4.1287e-05    4.2401e-05    4.6146e-05    0.00011209    6.0244e-05    7.0096e-05    7.3252e-05    8.9482e-05    8.7378e-05    0.00011281    0.00011223    0.00017573    0.00016034    0.00016328    0.00016622    0.00017509    0.00019623    0.00044532    0.00026752    0.00027003    0.00022229    0.00023551     0.0002296    0.00024285    0.00024337    0.00025972    0.00036318    0.00031768    0.00028357    0.00026656    0.00023254    0.00017987    0.00017562    0.00043593    0.00041191     0.0002697    0.00027423    0.00026578    0.00021576    0.00017862     0.0001503    0.00013413    0.00010683    0.00011997    0.00012847     0.0001492    0.00017371    0.00019388    0.00019403    0.00020811    0.00024382    0.00024183    0.00011237    0.00010526    0.00015986    0.00012415    0.00011343    0.00012739    8.7169e-05    0.00011584    0.00010434    0.00012622     0.0001453    6.8818e-05    7.9035e-05    5.4236e-05    3.3057e-05    2.5765e-05    4.1494e-05    9.0056e-06    7.5769e-06    3.1922e-06    2.1967e-06    7.5423e-07    2.1531e-07    1.8498e-08    5.6643e-11    1.8378e-18 
      46       3.645            0      3.533e-06    2.5709e-05    3.2868e-05    4.0509e-05    3.8809e-05    4.4435e-05    4.3794e-05    5.3369e-05    6.0415e-05    6.6512e-05    7.1615e-05     7.628e-05    9.4876e-05    9.3002e-05    0.00011119    0.00033275    0.00016282    0.00016493    0.00016196    0.00017854    0.00017208    0.00032999    0.00025879    0.00025791    0.00025633    0.00024547    0.00024846    0.00024649    0.00023506    0.00023068     0.0002404    0.00033928    0.00030156    0.00026333     0.0002582    0.00023593     0.0001833    0.00016566    0.00042127    0.00039295    0.00026244    0.00026237     0.0002599     0.0002156    0.00017554    0.00014895    0.00012735     0.0001348    0.00015275     0.0001786    0.00020091    0.00019979    0.00022239    0.00025134    0.00025144    0.00011617    0.00010858    0.00017665    0.00011235    0.00011128    0.00012931    0.00014388     0.0001051    0.00012919    0.00012627    0.00016436    6.8545e-05    6.5964e-05    5.4887e-05    4.4019e-05    2.6098e-05    2.6432e-05    2.3453e-05    8.5577e-06     9.627e-06    2.6114e-06    3.4953e-06    7.8212e-07    1.8248e-07    9.3082e-09    3.7499e-11    1.0673e-22 
      47      3.8934            0     1.8503e-05    2.4946e-05    2.6065e-05    3.9174e-05    3.9923e-05    4.3463e-05    4.4167e-05    4.7006e-05    5.5991e-05    6.5034e-05    6.6724e-05    9.4542e-05    8.2883e-05     9.171e-05    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'              }        10.116       0.75737        -37.592         1.9854        0.84341       0.22902              1        0         0.16263 
    {'unweighted_sum'    }         11476    2.4405e+05    -7.8955e+05             21         4422.1        561.99          44069        0           14529 
    {'sd'                }        6.9537       0.67774         55.748         1.0848        0.90505        0.5733     1.3323e-15        0        0.040844 
    {'coefofvar'         }       0.68742       0.89486         -1.483        0.54639         1.0731        2.5032     1.3323e-15      NaN         0.25114 
    {'gini'              }       0.32034       0.41117       -0.64344          0.268        0.41353       0.83721              0      NaN         0.13673 
    {'min'               }             1      0.035637        -868.79              1       0.038108             0      0.0070076        0        0.036506 
    {'max'               }           151        18.059         25.518              6         13.784        10.368              1        0         0.25228 
    {'pYis0'             }             0             0              0              0              0       0.52499              0        1               0 
    {'pYls0'             }             0             0         0.8166              0              0             0              0        0               0 
    {'pYgr0'             }             1             1         0.1834              1              1       0.47501              1        0               1 
    {'pYisMINY'          }       0.11052     0.0014188     7.8342e-06        0.41786      0.0033703       0.52499              0        1       0.0017694 
    {'pYisMAXY'          }             0             0              0      0.0060544              0    5.3013e-06              1        1               0 
    {'p0_01'             }             1      0.035637        -746.63              1       0.038108             0              1        0        0.036506 
    {'p10'               }             1       0.24578        -86.517              1        0.14676             0              1        0         0.11668 
    {'p25'               }             7        0.3161        -50.751              1        0.28802             0              1        0         0.13565 
    {'p50'               }             9       0.51551        -25.389              2        0.56523             0              1        0         0.15824 
    {'p75'               }            11       0.88958         -5.527              3         1.1092       0.23956              1        0         0.19322 
    {'p90'               }            23        1.5797         6.0744              4         2.1768        0.8323              1        0         0.21229 
    {'p99_99'            }            52        6.8857         23.692              6         8.3836        8.6488              1        0         0.24701 
    {'fl_cov_ap_ss'      }        48.354        1.9167         116.57        0.29345         1.7747        3.1074     3.7471e-30        0         0.16611 
    {'fl_cor_ap_ss'      }             1        0.4067         0.3007       0.038901        0.28199       0.77947     4.0447e-16      NaN         0.58487 
    {'fl_cov_c_ss'       }        1.9167       0.45934         20.369       0.067217        0.59824      0.081697     2.4421e-31        0        0.021334 
    {'fl_cor_c_ss'       }        0.4067             1         0.5391       0.091423         0.9753       0.21026     2.7046e-16      NaN         0.77071 
    {'fl_cov_v_ss'       }        116.57        20.369         3107.8         2.9005         24.615        4.9476    -9.1828e-31        0          1.8609 
    {'fl_cor_v_ss'       }        0.3007        0.5391              1       0.047962        0.48787       0.15481    -1.2364e-17      NaN         0.81728 
    {'fl_cov_n_ss'       }       0.29345      0.067217         2.9005         1.1768     -1.236e-17       0.13364     1.0754e-30        0       0.0077776 
    {'fl_cor_n_ss'       }      0.038901      0.091423       0.047962              1    -1.2589e-17       0.21488     7.4411e-16      NaN         0.17554 
    {'fl_cov_y_head_inc' }        1.7747       0.59824         24.615     -1.236e-17        0.81911      0.021751     8.1847e-31        0        0.025219 
    {'fl_cor_y_head_inc' }       0.28199        0.9753        0.48787    -1.2589e-17              1       0.04192      6.788e-16      NaN         0.68223 
    {'fl_cov_y_spouse'   }        3.1074      0.081697         4.9476        0.13364       0.021751       0.32867     7.0393e-32        0       0.0090401 
    {'fl_cor_y_spouse'   }       0.77947       0.21026        0.15481        0.21488        0.04192             1     9.2163e-17      NaN         0.38607 
    {'fl_cov_yshr_wage'  }    3.7471e-30    2.4421e-31    -9.1828e-31     1.0754e-30     8.1847e-31    7.0393e-32     1.7749e-30        0      7.8265e-32 
    {'fl_cor_yshr_wage'  }    4.0447e-16    2.7046e-16    -1.2364e-17     7.4411e-16      6.788e-16    9.2163e-17              1      NaN      1.4383e-15 
    {'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'}       0.16611      0.021334         1.8609      0.0077776       0.025219     0.0090401     7.8265e-32        0       0.0016682 
    {'fl_cor_yshr_nttxss'}       0.58487       0.77071        0.81728        0.17554        0.68223       0.38607     1.4383e-15      NaN               1 
    {'fracByP0_01'       }      0.010925    6.6761e-05      0.0030452        0.21046     0.00015228             0              1      NaN      0.00039718 
    {'fracByP10'         }      0.010925      0.050401        0.44014        0.21046       0.019229             0              1      NaN         0.12794 
    {'fracByP25'         }         0.148      0.072459        0.71161        0.21046       0.096342             0              1      NaN         0.16743 
    {'fracByP50'         }       0.28531       0.21889        0.94673        0.53024        0.29663             0              1      NaN         0.39835 
    {'fracByP75'         }       0.60536       0.47077         1.0363        0.77109        0.59361       0.13003              1      NaN         0.67808 
    {'fracByP90'         }         0.758       0.70215         1.0323        0.92834        0.84502       0.34306              1      NaN         0.86631 
    {'fracByP99_99'      }       0.99975       0.99993              1              1              1       0.99814              1      NaN          0.9999 
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'              }        55.659         1.287        -12.919        1.7239        1.8545       0.45057       0.85024        0          0.1929 
    {'unweighted_sum'    }         11476    2.6894e+05    -1.1138e+05            21         13268        1069.5         49867        0           15532 
    {'sd'                }        23.095        1.0938         20.385       0.90777        2.0429        1.1205      0.089265        0        0.037379 
    {'coefofvar'         }       0.41494       0.84994        -1.5779       0.52659        1.1016        2.4867       0.10499      NaN         0.19377 
    {'gini'              }       0.22938       0.40011       -0.80515       0.23461       0.47957       0.83345      0.056739      NaN           0.106 
    {'min'               }             1      0.055882        -235.34             1      0.059541             0      0.010906        0        0.048895 
    {'max'               }           151         32.48         14.759             6         23.47        20.112             1        0         0.25475 
    {'pYis0'             }             0             0              0             0             0       0.52499             0        1               0 
    {'pYls0'             }             0             0        0.74277             0             0             0             0        0               0 
    {'pYgr0'             }             1             1        0.25723             1             1       0.47501             1        0               1 
    {'pYisMINY'          }     0.0037896    2.9499e-05     3.9537e-07       0.48835    9.9096e-05       0.52499             0        1      9.4933e-05 
    {'pYisMAXY'          }    4.9199e-06    2.3292e-08              0     0.0036816    2.0186e-06    4.8438e-06     0.0046977        1      2.3292e-08 
    {'p0_01'             }             1       0.05663        -137.64             1      0.059554             0       0.30028        0        0.048902 
    {'p10'               }            28       0.31379        -41.113             1       0.39098             0       0.74373        0         0.14359 
    {'p25'               }            41       0.59299        -18.867             1        0.6458             0       0.80515        0         0.17802 
    {'p50'               }            55         1.065        -7.2226             2        1.1351             0       0.85253        0          0.1999 
    {'p75'               }            70        1.6559        0.35778             2        2.1525       0.48062       0.91133        0         0.22128 
    {'p90'               }            85        2.4892          6.453             3          4.19        1.7443        0.9613        0         0.23309 
    {'p99_99'            }           146        15.179          14.69             6        22.847        16.777             1        0         0.25279 
    {'fl_cov_ap_ss'      }        533.38        21.832         417.21        2.9474        37.948        5.9801       -1.3386        0         0.76653 
    {'fl_cor_ap_ss'      }             1       0.86423        0.88619       0.14059       0.80428        0.2311       -0.6493      NaN         0.88794 
    {'fl_cov_c_ss'       }        21.832        1.1965         14.391       0.23796        2.0766       0.27801     -0.041425        0        0.028255 
    {'fl_cor_c_ss'       }       0.86423             1        0.64539       0.23965       0.92925       0.22684      -0.42426      NaN         0.69107 
    {'fl_cov_v_ss'       }        417.21        14.391         415.54        3.8082        23.854        4.7175       -1.1118        0         0.72181 
    {'fl_cor_v_ss'       }       0.88619       0.64539              1        0.2058        0.5728       0.20654      -0.61101      NaN         0.94731 
    {'fl_cov_n_ss'       }        2.9474       0.23796         3.8082       0.82404      0.062177        0.2771    -0.0063156        0       0.0084863 
    {'fl_cor_n_ss'       }       0.14059       0.23965         0.2058             1      0.033527       0.27244      -0.07794      NaN          0.2501 
    {'fl_cov_y_head_inc' }        37.948        2.0766         23.854      0.062177        4.1736        0.1726     -0.054208        0        0.047728 
    {'fl_cor_y_head_inc' }       0.80428       0.92925         0.5728      0.033527             1      0.075404      -0.29725      NaN         0.62501 
    {'fl_cov_y_spouse'   }        5.9801       0.27801         4.7175        0.2771        0.1726        1.2554      0.014235        0        0.014539 
    {'fl_cor_y_spouse'   }        0.2311       0.22684        0.20654       0.27244      0.075404             1       0.14232      NaN         0.34714 
    {'fl_cov_yshr_wage'  }       -1.3386     -0.041425        -1.1118    -0.0063156     -0.054208      0.014235     0.0079682        0      -0.0014239 
    {'fl_cor_yshr_wage'  }       -0.6493      -0.42426       -0.61101      -0.07794      -0.29725       0.14232             1      NaN        -0.42677 
    {'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'}       0.76653      0.028255        0.72181     0.0084863      0.047728      0.014539    -0.0014239        0       0.0013972 
    {'fl_cor_yshr_nttxss'}       0.88794       0.69107        0.94731        0.2501       0.62501       0.34714      -0.42677      NaN               1 
    {'fracByP0_01'       }    6.8085e-05    5.4514e-06      0.0013821       0.28329    4.1425e-06             0    3.1706e-05      NaN      3.1647e-05 
    {'fracByP10'         }      0.031672      0.019903        0.46352       0.28329      0.013283             0      0.078871      NaN        0.059908 
    {'fracByP25'         }        0.1219      0.075667        0.79865       0.28329      0.054393             0       0.22272      NaN         0.18228 
    {'fracByP50'         }       0.34388       0.22765         1.0532       0.72028        0.1806             0       0.46052      NaN         0.42439 
    {'fracByP75'         }       0.62522       0.48161         1.1105       0.72028       0.41873       0.15283       0.71979      NaN          0.6993 
    {'fracByP90'         }        0.8294       0.71297         1.0711       0.85389       0.65167        0.3418       0.88407      NaN         0.87556 
    {'fracByP99_99'      }        0.9998       0.99881              1             1       0.99935       0.99834             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'              }              1       0.33746       -3.2579        1.4797        0.23579        0.09988        0.16674        0.82789       -0.70921
    {'unweighted_sum'    }              1    2.8049e+05        789.51            21          483.8           33.1         1927.1         2135.7        -643.33
    {'sd'                }      1.088e-14       0.23923        1.2254       0.50567       0.022052         0.2444        0.22826        0.22943        0.24964
    {'coefofvar'         }      1.088e-14       0.70891      -0.37615       0.34173       0.093527         2.4469         1.3689        0.27713       -0.35199
    {'gini'              }              0       0.29996      -0.20031       0.12034       0.044484        0.78724        0.72834        0.07891       -0.18116
    {'min'               }              1       0.19737       -11.197             1           0.22              0              0       0.027298       -0.89715
    {'max'               }              1        141.61       0.99282             6          5.666         3.0753        0.92039              1        0.21502
    {'pYis0'             }              0             0             0             0              0        0.52499        0.52499              0              0
    {'pYls0'             }              0             0       0.99204             0              0              0              0              0        0.99419
    {'pYgr0'             }              1             1      0.007965             1              1        0.47501        0.47501              1      0.0058068
    {'pYisMINY'          }              1       0.34474    1.4552e-10        0.5232        0.48869        0.52499        0.52499              0        0.34474
    {'pYisMAXY'          }              1             0             0    4.2206e-08              0     1.0335e-08     5.0487e-09        0.45892              0
    {'p0_01'             }              1       0.19737        -7.038             1           0.22              0              0       0.083353       -0.89715
    {'p10'               }              1       0.19737       -4.0665             1           0.22              0              0        0.31238       -0.89715
    {'p25'               }              1       0.19737       -4.0665             1           0.22              0              0        0.67484       -0.89715
    {'p50'               }              1       0.23607       -3.7707             1         0.2202              0              0        0.98376       -0.87526
    {'p75'               }              1       0.36676       -2.6758             2          0.266        0.10166        0.31605              1       -0.55153
    {'p90'               }              1       0.59408       -1.2803             2        0.26717        0.48427        0.68128              1       -0.14859
    {'p99_99'            }              1        2.9028       0.51281             4        0.31843         2.9082         0.9162              1        0.14051
    {'fl_cov_ap_ss'      }     1.1838e-28    4.4139e-31    3.5754e-30     4.121e-29     2.8489e-30    -3.2619e-31    -6.2277e-32     -3.036e-30    -3.8383e-30
    {'fl_cor_ap_ss'      }              1    1.6958e-16    2.6816e-16    7.4904e-15     1.1874e-14    -1.2267e-16    -2.5076e-17    -1.2162e-15    -1.4131e-15
    {'fl_cov_c_ss'       }     4.4139e-31      0.057229       0.23842      0.059118      0.0016668       0.050594       0.040102      -0.041567       0.045721
    {'fl_cor_c_ss'       }     1.6958e-16             1       0.81327       0.48871        0.31595        0.86534        0.73439       -0.75734        0.76558
    {'fl_cov_v_ss'       }     3.5754e-30       0.23842        1.5017       0.20689       0.012148        0.17973        0.18489       -0.19392        0.21331
    {'fl_cor_v_ss'       }     2.6816e-16       0.81327             1       0.33387        0.44951        0.60012        0.66096       -0.68973        0.69726
    {'fl_cov_n_ss'       }      4.121e-29      0.059118       0.20689        0.2557      0.0018516       0.052581       0.087766      -0.089099       0.096069
    {'fl_cor_n_ss'       }     7.4904e-15       0.48871       0.33387             1        0.16604        0.42546        0.76038         -0.768        0.76104
    {'fl_cov_y_head_inc' }     2.8489e-30     0.0016668      0.012148     0.0018516      0.0004863     0.00064389     0.00067273    -0.00074396     0.00089733
    {'fl_cor_y_head_inc' }     1.1874e-14       0.31595       0.44951       0.16604              1        0.11947        0.13365       -0.14704          0.163
    {'fl_cov_y_spouse'   }    -3.2619e-31      0.050594       0.17973      0.052581     0.00064389       0.059731       0.043238      -0.043211       0.047619
    {'fl_cor_y_spouse'   }    -1.2267e-16       0.86534       0.60012       0.42546        0.11947              1        0.77505       -0.77064        0.78049
    {'fl_cov_yshr_wage'  }    -6.2277e-32      0.040102       0.18489      0.087766     0.00067273       0.043238       0.052103      -0.052281       0.056879
    {'fl_cor_yshr_wage'  }    -2.5076e-17       0.73439       0.66096       0.76038        0.13365        0.77505              1        -0.9983        0.99818
    {'fl_cov_yshr_SS'    }     -3.036e-30     -0.041567      -0.19392     -0.089099    -0.00074396      -0.043211      -0.052281       0.052638      -0.057257
    {'fl_cor_yshr_SS'    }    -1.2162e-15      -0.75734      -0.68973        -0.768       -0.14704       -0.77064        -0.9983              1        -0.9997
    {'fl_cov_yshr_nttxss'}    -3.8383e-30      0.045721       0.21331      0.096069     0.00089733       0.047619       0.056879      -0.057257        0.06232
    {'fl_cor_yshr_nttxss'}    -1.4131e-15       0.76558       0.69726       0.76104          0.163        0.78049        0.99818        -0.9997              1
    {'fracByP0_01'       }              1       0.20164    0.00049502       0.35357        0.45597              0              0     1.0781e-05         0.4361
    {'fracByP10'         }              1       0.20164        0.5347       0.35357        0.45597              0              0       0.038483         0.4361
    {'fracByP25'         }              1       0.20164        0.5347       0.35357        0.45597              0              0        0.15422         0.4361
    {'fracByP50'         }              1       0.31034       0.64676       0.35357        0.46775              0              0        0.39753        0.63032
    {'fracByP75'         }              1       0.52813       0.89014       0.99419        0.87014        0.19248        0.37852              1         0.8875
    {'fracByP90'         }              1       0.73972       0.97784       0.99419        0.88578        0.62777        0.58969              1        0.98741
    {'fracByP99_99'      }              1        0.9992             1       0.99999        0.99992         0.9996        0.99995              1              1