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i = 13%           0 < n < 100


  n      F/P, i, n       P/F, i, n        F/A, i, n       A/F, i, n      P/A, i, n       A/P, i, n

  1  |      1.130000  |  0.88495575  |       1.000000  |  1.00000000  |  0.88495575  |  1.1300000000
  2  |      1.276900  |  0.78314668  |       2.130000  |  0.46948357  |  1.66810244  |  0.5994835681
  3  |      1.442897  |  0.69305016  |       3.406900  |  0.29352197  |  2.36115260  |  0.4235219701
  4  |      1.630474  |  0.61331873  |       4.849797  |  0.20619420  |  2.97447133  |  0.3361941974
  5  |      1.842435  |  0.54275994  |       6.480271  |  0.15431454  |  3.51723126  |  0.2843145434
  6  |      2.081952  |  0.48031853  |       8.322706  |  0.12015323  |  3.99754979  |  0.2501532321
  7  |      2.352605  |  0.42506064  |      10.404658  |  0.09611080  |  4.42261043  |  0.2261108038
  8  |      2.658444  |  0.37615986  |      12.757263  |  0.07838672  |  4.79877029  |  0.2083867196
  9  |      3.004042  |  0.33288483  |      15.415707  |  0.06486890  |  5.13165513  |  0.1948689020
 10  |      3.394567  |  0.29458835  |      18.419749  |  0.05428956  |  5.42624348  |  0.1842895558
 11  |      3.835861  |  0.26069765  |      21.814317  |  0.04584145  |  5.68694113  |  0.1758414545
 12  |      4.334523  |  0.23070589  |      25.650178  |  0.03898608  |  5.91764702  |  0.1689860847
 13  |      4.898011  |  0.20416450  |      29.984701  |  0.03335034  |  6.12181152  |  0.1633503411
 14  |      5.534753  |  0.18067655  |      34.882712  |  0.02866750  |  6.30248807  |  0.1586674959
 15  |      6.254270  |  0.15989075  |      40.417464  |  0.02474178  |  6.46237882  |  0.1547417797
 16  |      7.067326  |  0.14149624  |      46.671735  |  0.02142624  |  6.60387506  |  0.1514262445
 17  |      7.986078  |  0.12521791  |      53.739060  |  0.01860844  |  6.72909298  |  0.1486084385
 18  |      9.024268  |  0.11081231  |      61.725138  |  0.01620085  |  6.83990529  |  0.1462008548
 19  |     10.197423  |  0.09806399  |      70.749406  |  0.01413439  |  6.93796928  |  0.1441343943
 20  |     11.523088  |  0.08678229  |      80.946829  |  0.01235379  |  7.02475158  |  0.1423537884
 21  |     13.021089  |  0.07679849  |      92.469917  |  0.01081433  |  7.10155007  |  0.1408143279
 22  |     14.713831  |  0.06796327  |     105.491006  |  0.00947948  |  7.16951334  |  0.1394794811
 23  |     16.626629  |  0.06014448  |     120.204837  |  0.00831913  |  7.22965782  |  0.1383191328
 24  |     18.788091  |  0.05322521  |     136.831465  |  0.00730826  |  7.28288303  |  0.1373082605
 25  |     21.230542  |  0.04710195  |     155.619556  |  0.00642593  |  7.32998498  |  0.1364259276
 26  |     23.990513  |  0.04168314  |     176.850098  |  0.00565451  |  7.37166812  |  0.1356545063
 27  |     27.109279  |  0.03688774  |     200.840611  |  0.00497907  |  7.40855586  |  0.1349790727
 28  |     30.633486  |  0.03264402  |     227.949890  |  0.00438693  |  7.44119988  |  0.1343869291
 29  |     34.615839  |  0.02888851  |     258.583376  |  0.00386722  |  7.47008839  |  0.1338672246
 30  |     39.115898  |  0.02556505  |     293.199215  |  0.00341065  |  7.49565344  |  0.1334106503
 31  |     44.200965  |  0.02262394  |     332.315113  |  0.00300919  |  7.51827738  |  0.1330091921
 32  |     49.947090  |  0.02002119  |     376.516078  |  0.00265593  |  7.53829857  |  0.1326559291
 33  |     56.440212  |  0.01771786  |     426.463168  |  0.00234487  |  7.55601643  |  0.1323448684
 34  |     63.777439  |  0.01567953  |     482.903380  |  0.00207081  |  7.57169596  |  0.1320708076
 35  |     72.068506  |  0.01387569  |     546.680819  |  0.00182922  |  7.58557164  |  0.1318292209
 36  |     81.437412  |  0.01227937  |     618.749325  |  0.00161616  |  7.59785101  |  0.1316161634
 37  |     92.024276  |  0.01086670  |     700.186738  |  0.00142819  |  7.60871771  |  0.1314281904
 38  |    103.987432  |  0.00961655  |     792.211014  |  0.00126229  |  7.61833426  |  0.1312622899
 39  |    117.505798  |  0.00851022  |     896.198445  |  0.00111582  |  7.62684447  |  0.1311158243
 40  |    132.781552  |  0.00753117  |    1013.704243  |  0.00098648  |  7.63437564  |  0.1309864810
 41  |    150.043153  |  0.00666475  |    1146.485795  |  0.00087223  |  7.64104039  |  0.1308722306
 42  |    169.548763  |  0.00589801  |    1296.528948  |  0.00077129  |  7.64693840  |  0.1307712901
 43  |    191.590103  |  0.00521948  |    1466.077712  |  0.00068209  |  7.65215787  |  0.1306820921
 44  |    216.496816  |  0.00461901  |    1657.667814  |  0.00060326  |  7.65677688  |  0.1306032572
 45  |    244.641402  |  0.00408762  |    1874.164630  |  0.00053357  |  7.66086450  |  0.1305335711
 46  |    276.444784  |  0.00361736  |    2118.806032  |  0.00047196  |  7.66448185  |  0.1304719639
 47  |    312.382606  |  0.00320120  |    2395.250816  |  0.00041749  |  7.66768306  |  0.1304174928
 48  |    352.992345  |  0.00283292  |    2707.633422  |  0.00036933  |  7.67051598  |  0.1303693262
 49  |    398.881350  |  0.00250701  |    3060.625767  |  0.00032673  |  7.67302299  |  0.1303267306
 50  |    450.735925  |  0.00221859  |    3459.507117  |  0.00028906  |  7.67524158  |  0.1302890585
 51  |    509.331595  |  0.00196336  |    3910.243042  |  0.00025574  |  7.67720494  |  0.1302557386
 52  |    575.544703  |  0.00173748  |    4419.574637  |  0.00022627  |  7.67894243  |  0.1302262661
 53  |    650.365514  |  0.00153760  |    4995.119340  |  0.00020020  |  7.68048002  |  0.1302001954
 54  |    734.913031  |  0.00136071  |    5645.484854  |  0.00017713  |  7.68184073  |  0.1301771327
 55  |    830.451725  |  0.00120416  |    6380.397885  |  0.00015673  |  7.68304489  |  0.1301567300
 56  |    938.410449  |  0.00106563  |    7210.849610  |  0.00013868  |  7.68411052  |  0.1301386799
 57  |   1060.403808  |  0.00094304  |    8149.260060  |  0.00012271  |  7.68505356  |  0.1301227105
 58  |   1198.256303  |  0.00083455  |    9209.663867  |  0.00010858  |  7.68588811  |  0.1301085816
 59  |   1354.029622  |  0.00073854  |   10407.920170  |  0.00009608  |  7.68662664  |  0.1300960807
 60  |   1530.053473  |  0.00065357  |   11761.949792  |  0.00008502  |  7.68728022  |  0.1300850199
 61  |   1728.960425  |  0.00057838  |   13292.003265  |  0.00007523  |  7.68785860  |  0.1300752332
 62  |   1953.725280  |  0.00051184  |   15020.963690  |  0.00006657  |  7.68837044  |  0.1300665736
 63  |   2207.709566  |  0.00045296  |   16974.688970  |  0.00005891  |  7.68882340  |  0.1300589112
 64  |   2494.711810  |  0.00040085  |   19182.398536  |  0.00005213  |  7.68922425  |  0.1300521311
 65  |   2819.024345  |  0.00035473  |   21677.110345  |  0.00004613  |  7.68957898  |  0.1300461316
 66  |   3185.497510  |  0.00031392  |   24496.134690  |  0.00004082  |  7.68989290  |  0.1300408228
 67  |   3599.612186  |  0.00027781  |   27681.632200  |  0.00003613  |  7.69017071  |  0.1300361250
 68  |   4067.561770  |  0.00024585  |   31281.244386  |  0.00003197  |  7.69041656  |  0.1300319680
 69  |   4596.344800  |  0.00021756  |   35348.806156  |  0.00002829  |  7.69063412  |  0.1300282895
 70  |   5193.869624  |  0.00019253  |   39945.150956  |  0.00002503  |  7.69082666  |  0.1300250343
 71  |   5869.072675  |  0.00017038  |   45139.020581  |  0.00002215  |  7.69099704  |  0.1300221538
 72  |   6632.052123  |  0.00015078  |   51008.093256  |  0.00001960  |  7.69114782  |  0.1300196047
 73  |   7494.218899  |  0.00013344  |   57640.145379  |  0.00001735  |  7.69128126  |  0.1300173490
 74  |   8468.467356  |  0.00011809  |   65134.364279  |  0.00001535  |  7.69139935  |  0.1300153529
 75  |   9569.368113  |  0.00010450  |   73602.831635  |  0.00001359  |  7.69150385  |  0.1300135864
 76  |  10813.385967  |  0.00009248  |   83172.199747  |  0.00001202  |  7.69159632  |  0.1300120232
 77  |  12219.126143  |  0.00008184  |   93985.585715  |  0.00001064  |  7.69167816  |  0.1300106399
 78  |  13807.612541  |  0.00007242  |  106204.711857  |  0.00000942  |  7.69175059  |  0.1300094158
 79  |  15602.602172  |  0.00006409  |  120012.324399  |  0.00000833  |  7.69181468  |  0.1300083325
 80  |  17630.940454  |  0.00005672  |  135614.926571  |  0.00000737  |  7.69187140  |  0.1300073738
 81  |  19922.962713  |  0.00005019  |  153245.867025  |  0.00000653  |  7.69192159  |  0.1300065255
 82  |  22512.947866  |  0.00004442  |  173168.829738  |  0.00000577  |  7.69196601  |  0.1300057747
 83  |  25439.631089  |  0.00003931  |  195681.777604  |  0.00000511  |  7.69200532  |  0.1300051103
 84  |  28746.783130  |  0.00003479  |  221121.408693  |  0.00000452  |  7.69204010  |  0.1300045224
 85  |  32483.864937  |  0.00003078  |  249868.191823  |  0.00000400  |  7.69207089  |  0.1300040021
 86  |  36706.767379  |  0.00002724  |  282352.056760  |  0.00000354  |  7.69209813  |  0.1300035417
 87  |  41478.647138  |  0.00002411  |  319058.824139  |  0.00000313  |  7.69212224  |  0.1300031342
 88  |  46870.871266  |  0.00002134  |  360537.471277  |  0.00000277  |  7.69214358  |  0.1300027736
 89  |  52964.084531  |  0.00001888  |  407408.342543  |  0.00000245  |  7.69216246  |  0.1300024545
 90  |  59849.415520  |  0.00001671  |  460372.427073  |  0.00000217  |  7.69217916  |  0.1300021722
 91  |  67629.839537  |  0.00001479  |  520221.842593  |  0.00000192  |  7.69219395  |  0.1300019223
 92  |  76421.718677  |  0.00001309  |  587851.682130  |  0.00000170  |  7.69220704  |  0.1300017011
 93  |  86356.542105  |  0.00001158  |  664273.400806  |  0.00000151  |  7.69221862  |  0.1300015054
 94  |  97582.892578  |  0.00001025  |  750629.942911  |  0.00000133  |  7.69222886  |  0.1300013322
 95  | 110268.668614  |  0.00000907  |  848212.835490  |  0.00000118  |  7.69223793  |  0.1300011789
 96  | 124603.595533  |  0.00000803  |  958481.504103  |  0.00000104  |  7.69224596  |  0.1300010433
 97  | 140802.062953  |  0.00000710  | 1083085.099637  |  0.00000092  |  7.69225306  |  0.1300009233
 98  | 159106.331137  |  0.00000629  | 1223887.162590  |  0.00000082  |  7.69225935  |  0.1300008171
 99  | 179790.154184  |  0.00000556  | 1382993.493726  |  0.00000072  |  7.69226491  |  0.1300007231
100  | 203162.874228  |  0.00000492  | 1562783.647911  |  0.00000064  |  7.69226983  |  0.1300006399