spin   exc   Gamma_t   lev_ND    sum_ND    E2_SD  ===>  pout 
1   0   0.000013  47876910.409707  243.808081  0.000000 ==> 1.000000 
1   200   0.000025  68616638.040261  248.993480  0.000000 ==> 1.000000 
1   400   0.000071  97845994.012608  254.024929  0.000000 ==> 1.000000 
1   600   0.000155  138853919.748016  258.909813  0.000000 ==> 1.000000 
1   800   0.000281  196137086.709539  263.655058  0.000000 ==> 1.000000 
1   1000   0.000459  275820898.093562  268.267164  0.000000 ==> 1.000000 
1   1200   0.000600  386220011.610176  272.752234  0.000000 ==> 1.000000 
1   1400   0.000645  538582404.971011  277.116000  0.000000 ==> 1.000000 
1   1600   0.000414  748074248.365658  281.363857  0.000000 ==> 1.000000 
1   1800   0.000264  1035079894.205504  285.500876  0.000000 ==> 1.000000 
1   2000   0.000172  1426913188.018418  289.531839  0.000000 ==> 1.000000 
1   2200   0.000113  1960064364.324575  293.461247  0.000000 ==> 1.000000 
1   2400   0.000076  2683142679.949471  297.293351  0.000000 ==> 1.000000 
1   2600   0.000051  3660720746.325605  301.032159  0.000000 ==> 1.000000 
1   2800   0.000035  4978344879.586787  304.681463  0.000000 ==> 1.000000 
1   3000   0.000024  6749049988.044209  308.244842  0.000000 ==> 1.000000 
1   3200   0.000017  9121811686.940977  311.725689  0.000000 ==> 1.000000 
1   3400   0.000012  12292487627.976097  315.127211  0.000000 ==> 1.000000 
1   3600   0.000008  16517950893.511253  318.452450  0.000000 ==> 1.000000 
1   3800   0.000006  22134308755.317818  321.704292  0.000000 ==> 1.000000 
1   4000   0.000004  29580340118.534225  324.885473  0.000000 ==> 1.000000 
1   4200   0.000003  39427586968.359032  327.998592  0.000000 ==> 1.000000 
1   4400   0.000002  52418914502.554718  331.046120  0.000000 ==> 1.000000 
1   4600   0.000002  69517830440.213455  334.030407  0.000000 ==> 1.000000 
1   4800   0.000001  91971449847.970154  336.953688  0.000000 ==> 1.000000 
1   5000   0.000001  121390736885.267014  339.818092  0.000000 ==> 1.000000 
3   0   0.000002  55701594.686196  0.036261  0.000000 ==> 1.000000 
3   200   0.000004  79524127.947469  0.040664  0.000000 ==> 1.000000 
3   400   0.000012  112986241.916364  0.045415  0.000000 ==> 1.000000 
3   600   0.000036  159783675.873369  0.050526  0.000000 ==> 1.000000 
3   800   0.000110  224956588.534952  0.056008  0.000000 ==> 1.000000 
3   1000   0.000261  315354253.671641  0.061874  0.000000 ==> 1.000000 
3   1200   0.000435  440252584.111242  0.068137  0.000000 ==> 1.000000 
3   1400   0.000553  612172372.731227  0.074806  0.000000 ==> 1.000000 
3   1600   0.000414  847960455.397785  0.081894  0.000000 ==> 1.000000 
3   1800   0.000264  1170214405.729929  0.089413  0.000000 ==> 1.000000 
3   2000   0.000172  1609154981.920791  0.097374  0.000000 ==> 1.000000 
3   2200   0.000113  2205080770.685782  0.105787  0.000000 ==> 1.000000 
3   2400   0.000076  3011578087.259188  0.114664  0.000000 ==> 1.000000 
3   2600   0.000051  4099708424.180207  0.124016  0.000000 ==> 1.000000 
3   2800   0.000035  5563458395.450028  0.133853  0.000000 ==> 1.000000 
3   3000   0.000024  7526816705.061213  0.144187  0.000000 ==> 1.000000 
3   3200   0.000017  10152943569.195520  0.155028  0.000000 ==> 1.000000 
3   3400   0.000012  13656025722.084921  0.166385  0.000000 ==> 1.000000 
3   3600   0.000008  18316571474.215691  0.178271  0.000000 ==> 1.000000 
3   3800   0.000006  24501103783.045712  0.190694  0.000000 ==> 1.000000 
3   4000   0.000004  32687465528.672562  0.203666  0.000000 ==> 1.000000 
3   4200   0.000003  43497273307.043137  0.217195  0.000000 ==> 1.000000 
3   4400   0.000002  57737460363.277855  0.231293  0.000000 ==> 1.000000 
3   4600   0.000002  76453355973.708420  0.245969  0.000000 ==> 1.000000 
3   4800   0.000001  100996382609.767990  0.261232  0.000000 ==> 1.000000 
3   5000   0.000001  133110244408.329956  0.277093  0.000000 ==> 1.000000 
5   0   0.000000  28019690.720229  0.057845  0.000012 ==> 320.335604 
5   200   0.000001  40480236.829575  0.064621  0.000012 ==> 558.286703 
5   400   0.000003  58167913.084265  0.071880  0.000012 ==> 1300.154664 
5   600   0.000009  83154588.536148  0.079636  0.000012 ==> 2771.999119 
5   800   0.000026  118289353.310659  0.087901  0.000012 ==> 5953.439313 
5   1000   0.000083  167474899.960946  0.096690  0.000012 ==> 13256.217883 
5   1200   0.000218  236037217.265049  0.106015  0.000012 ==> 26728.341635 
5   1400   0.000363  331218554.001226  0.115887  0.000012 ==> 42726.267716 
5   1600   0.000414  462832769.490997  0.126320  0.000012 ==> 56294.020884 
5   1800   0.000264  644134017.715285  0.137326  0.000012 ==> 55329.609919 
5   2000   0.000172  892964956.367026  0.148917  0.000012 ==> 54663.702640 
5   2200   0.000113  1233270273.184046  0.161104  0.000012 ==> 54245.305528 
5   2400   0.000076  1697086469.816090  0.173899  0.000012 ==> 54035.529496 
5   2600   0.000051  2327151040.337778  0.187314  0.000012 ==> 54004.348780 
5   2800   0.000035  3180315318.996956  0.201360  0.000012 ==> 54128.309520 
5   3000   0.000024  4331997728.169869  0.216048  0.000012 ==> 54388.896744 
5   3200   0.000017  5881980917.800603  0.231390  0.000012 ==> 54771.356921 
5   3400   0.000012  7961941092.207896  0.247396  0.000012 ==> 55263.838127 
5   3600   0.000008  10745205348.374863  0.264077  0.000012 ==> 55856.753893 
5   3800   0.000006  14459368946.501892  0.281443  0.000012 ==> 56542.306672 
5   4000   0.000004  19402576388.064617  0.299507  0.000012 ==> 57314.126503 
5   4200   0.000003  25964487066.201050  0.318277  0.000012 ==> 58166.994053 
5   4400   0.000002  34653219365.252808  0.337764  0.000012 ==> 59096.626046 
5   4600   0.000002  46129910435.877480  0.357978  0.000012 ==> 60099.507372 
5   4800   0.000001  61252959837.289764  0.378931  0.000012 ==> 61172.758590 
5   5000   0.000001  81134565336.899216  0.400631  0.000012 ==> 62314.030391 
7   0   0.000000  35845231.618871  0.492602  0.000087 ==> 299.761352 
7   200   0.000001  51762089.495828  0.536773  0.000087 ==> 528.381622 
7   400   0.000002  74340490.556638  0.583240  0.000087 ==> 1200.186687 
7   600   0.000005  106212999.862369  0.632043  0.000087 ==> 2545.557025 
7   800   0.000016  150996294.105651  0.683219  0.000087 ==> 5385.327225 
7   1000   0.000046  213639758.013202  0.736806  0.000087 ==> 11385.863339 
7   1200   0.000126  300891285.242938  0.792840  0.000087 ==> 23308.476326 
7   1400   0.000270  421917747.815508  0.851357  0.000087 ==> 41875.948594 
7   1600   0.000382  589129001.043396  0.912392  0.000087 ==> 60908.380739 
7   1800   0.000264  819269003.685939  0.975983  0.000087 ==> 61781.433403 
7   2000   0.000172  1134856573.198427  1.042161  0.000087 ==> 60545.096908 
7   2200   0.000113  1566082624.250170  1.110963  0.000087 ==> 59616.744702 
7   2400   0.000076  2153301920.975645  1.182422  0.000087 ==> 58945.204565 
7   2600   0.000051  2950297257.335467  1.256570  0.000087 ==> 58490.948333 
7   2800   0.000035  4028544890.321526  1.333442  0.000087 ==> 58223.059603 
7   3000   0.000024  5482774907.758693  1.413069  0.000087 ==> 58117.080033 
7   3200   0.000017  7438202678.079782  1.495484  0.000087 ==> 58153.460405 
7   3400   0.000012  10059912188.254278  1.580718  0.000087 ==> 58316.431627 
7   3600   0.000008  13565004658.532036  1.668803  0.000087 ==> 58593.170836 
7   3800   0.000006  18238293480.518173  1.759771  0.000087 ==> 58973.177455 
7   4000   0.000004  24452538170.110565  1.853651  0.000087 ==> 59447.800710 
7   4200   0.000003  32694476747.537941  1.950474  0.000087 ==> 60009.877751 
7   4400   0.000002  43598251530.061295  2.050271  0.000087 ==> 60653.453548 
7   4600   0.000002  57988244841.603760  2.153071  0.000087 ==> 61373.561901 
7   4800   0.000001  76933869784.853439  2.258904  0.000087 ==> 62166.052700 
7   5000   0.000001  101819523187.167068  2.367799  0.000087 ==> 63027.454442 
9   0   0.000000  27221631.932472  0.461098  0.000355 ==> 112.082713 
9   200   0.000000  39474472.986878  0.503596  0.000355 ==> 199.999260 
9   400   0.000002  56920458.533172  0.548363  0.000355 ==> 466.287664 
9   600   0.000005  81636044.798731  0.595436  0.000355 ==> 1000.857014 
9   800   0.000014  116482414.943384  0.644855  0.000355 ==> 2125.656324 
9   1000   0.000041  165386279.835711  0.696657  0.000355 ==> 4580.802046 
9   1200   0.000119  233715984.285790  0.750878  0.000355 ==> 9611.542706 
9   1400   0.000240  328783651.901086  0.807557  0.000355 ==> 16803.442508 
9   1600   0.000340  460513533.032413  0.866728  0.000355 ==> 24502.537665 
9   1800   0.000264  642328910.180456  0.928427  0.000355 ==> 26413.244724 
9   2000   0.000172  892325633.957662  0.992689  0.000355 ==> 25939.095595 
9   2200   0.000113  1234820586.037669  1.059549  0.000355 ==> 25592.876780 
9   2400   0.000076  1702389327.367586  1.129041  0.000355 ==> 25353.601892 
9   2600   0.000051  2338540447.647761  1.201199  0.000355 ==> 25205.060357 
9   2800   0.000035  3201216647.845240  1.276055  0.000355 ==> 25134.575963 
9   3000   0.000024  4367366829.080189  1.353643  0.000355 ==> 25132.124365 
9   3200   0.000017  5938902527.027057  1.433994  0.000355 ==> 25189.697998 
9   3400   0.000012  8050439804.742053  1.517142  0.000355 ==> 25300.842942 
9   3600   0.000008  10879339058.766542  1.603117  0.000355 ==> 25460.316708 
9   3800   0.000006  14658696175.991373  1.691952  0.000355 ==> 25663.832098 
9   4000   0.000004  19694116677.615757  1.783677  0.000355 ==> 25907.863187 
9   4200   0.000003  26385329337.811054  1.878322  0.000355 ==> 26189.496684 
9   4400   0.000002  35253979004.969505  1.975919  0.000355 ==> 26506.316854 
9   4600   0.000002  46979294559.290794  2.076497  0.000355 ==> 26856.315538 
9   4800   0.000001  62443775190.238129  2.180085  0.000355 ==> 27237.821151 
9   5000   0.000001  82791598861.298523  2.286715  0.000355 ==> 27649.442176 
11   0   0.000000  29297374.932452  0.469172  0.001062 ==> 55.023742 
11   200   0.000000  42436562.805322  0.512113  0.001062 ==> 99.582233 
11   400   0.000001  61125749.694618  0.557330  0.001062 ==> 230.827268 
11   600   0.000003  87577117.246465  0.604862  0.001062 ==> 503.084667 
11   800   0.000010  124836429.481912  0.654746  0.001062 ==> 1074.392400 
11   1000   0.000030  177080506.790859  0.707020  0.001062 ==> 2349.292490 
11   1200   0.000087  250015409.523555  0.761721  0.001062 ==> 4961.176661 
11   1400   0.000176  351407730.648407  0.818887  0.001062 ==> 8645.156924 
11   1600   0.000264  491791317.789764  0.878552  0.001062 ==> 12995.145891 
11   1800   0.000264  685404561.656120  0.940752  0.001062 ==> 15879.328185 
11   2000   0.000172  951429907.408662  1.005522  0.001062 ==> 15585.566275 
11   2200   0.000113  1315628489.898224  1.072897  0.001062 ==> 15369.298932 
11   2400   0.000076  1812490054.757633  1.142910  0.001062 ==> 15217.768996 
11   2600   0.000051  2488053235.017798  1.215595  0.001062 ==> 15121.122262 
11   2800   0.000035  3403595860.069291  1.290985  0.001062 ==> 15071.652509 
11   3000   0.000024  4640451861.399542  1.369113  0.001062 ==> 15063.264948 
11   3200   0.000017  6306283747.078929  1.450012  0.001062 ==> 15091.090147 
11   3400   0.000012  8543231603.687261  1.533713  0.001062 ==> 15151.202531 
11   3600   0.000008  11538476228.502010  1.620248  0.001062 ==> 15240.412399 
11   3800   0.000006  15537901639.307537  1.709648  0.001062 ==> 15356.110267 
11   4000   0.000004  20863728764.683075  1.801944  0.001062 ==> 15496.148973 
11   4200   0.000003  27937227434.744888  1.897167  0.001062 ==> 15658.753356 
11   4400   0.000002  37307910119.576805  1.995347  0.001062 ==> 15842.450343 
11   4600   0.000002  49690983408.175735  2.096514  0.001062 ==> 16046.014278 
11   4800   0.000001  66015300841.106010  2.200698  0.001062 ==> 16268.423786 
11   5000   0.000001  87484646752.870926  2.307928  0.001062 ==> 16508.827450 
13   0   0.000000  11046565.903549  0.026741  0.002611 ==> 3.849322 
13   200   0.000000  16165312.693884  0.030917  0.002611 ==> 7.389140 
13   400   0.000001  23515246.866344  0.035509  0.002611 ==> 18.496238 
13   600   0.000002  34012946.532323  0.040536  0.002611 ==> 43.585020 
13   800   0.000007  48930512.779634  0.046015  0.002611 ==> 99.878338 
13   1000   0.000026  70026010.208891  0.051965  0.002611 ==> 238.294310 
13   1200   0.000081  99719256.060220  0.058404  0.002611 ==> 533.991608 
13   1400   0.000160  141327922.283262  0.065351  0.002611 ==> 942.273201 
13   1600   0.000238  199383609.606218  0.072823  0.002611 ==> 1440.908167 
13   1800   0.000264  280053649.864072  0.080838  0.002611 ==> 1897.614734 
13   2000   0.000172  391702292.136362  0.089413  0.002611 ==> 1901.842552 
13   2200   0.000113  545635137.939007  0.098564  0.002611 ==> 1913.280494 
13   2400   0.000076  757083856.164045  0.108311  0.002611 ==> 1930.960819 
13   2600   0.000051  1046505147.405247  0.118668  0.002611 ==> 1954.139733 
13   2800   0.000035  1441289673.968886  0.129653  0.002611 ==> 1982.240405 
13   3000   0.000024  1978004531.863119  0.141282  0.002611 ==> 2014.812063 
13   3200   0.000017  2705328459.665722  0.153571  0.002611 ==> 2051.500347 
13   3400   0.000012  3687884426.083052  0.166537  0.002611 ==> 2092.025572 
13   3600   0.000008  5011232112.405937  0.180196  0.002611 ==> 2136.166606 
13   3800   0.000006  6788356366.631565  0.194563  0.002611 ==> 2183.748758 
13   4000   0.000004  9168081031.706600  0.209654  0.002611 ==> 2234.634574 
13   4200   0.000003  12345955738.780565  0.225484  0.002611 ==> 2288.716778 
13   4400   0.000002  16578312668.409039  0.242070  0.002611 ==> 2345.912790 
13   4600   0.000002  22200378843.519051  0.259425  0.002611 ==> 2406.160436 
13   4800   0.000001  29649567087.354935  0.277566  0.002611 ==> 2469.414557 
13   5000   0.000001  39495367606.303467  0.296507  0.002611 ==> 2535.644309 
15   0   0.000000  8058703.931843  0.031440  0.005607 ==> 1.490352 
15   200   0.000000  11863394.787720  0.036282  0.005607 ==> 3.047010 
15   400   0.000000  17355319.532940  0.041591  0.005607 ==> 8.041421 
15   600   0.000001  25238693.314057  0.047389  0.005607 ==> 20.136622 
15   800   0.000004  36494909.369468  0.053693  0.005607 ==> 49.136374 
15   1000   0.000018  52485615.919586  0.060524  0.005607 ==> 127.043179 
15   1200   0.000066  75092076.896127  0.067900  0.005607 ==> 306.878399 
15   1400   0.000138  106902927.783329  0.075840  0.005607 ==> 559.660674 
15   1600   0.000216  151466277.920451  0.084363  0.005607 ==> 878.597623 
15   1800   0.000257  213627109.164114  0.093486  0.005607 ==> 1199.712679 
15   2000   0.000172  299977410.890974  0.103228  0.005607 ==> 1220.331620 
15   2200   0.000113  419454897.390583  0.113606  0.005607 ==> 1228.990707 
15   2400   0.000076  584137015.576481  0.124638  0.005607 ==> 1241.614670 
15   2600   0.000051  810290953.810925  0.136341  0.005607 ==> 1257.740480 
15   2800   0.000035  1119758374.493735  0.148733  0.005607 ==> 1277.009390 
15   3000   0.000024  1541776711.435501  0.161830  0.005607 ==> 1299.141420 
15   3200   0.000017  2115368483.128733  0.175649  0.005607 ==> 1323.916862 
15   3400   0.000012  2892467920.025981  0.190206  0.005607 ==> 1351.162710 
15   3600   0.000008  3942002482.699162  0.205519  0.005607 ==> 1380.742595 
15   3800   0.000006  5355208314.043229  0.221602  0.005607 ==> 1412.549217 
15   4000   0.000004  7252536776.744272  0.238472  0.005607 ==> 1446.498600 
15   4200   0.000003  9792608299.853987  0.256145  0.005607 ==> 1482.525680 
15   4400   0.000002  13183795196.709307  0.274637  0.005607 ==> 1520.580880 
15   4600   0.000002  17699173658.883583  0.293963  0.005607 ==> 1560.627430 
15   4800   0.000001  23695785171.038368  0.314138  0.005607 ==> 1602.639248 
15   5000   0.000001  31639399569.870514  0.335178  0.005607 ==> 1646.599250 
17   0   0.000000  4696500.002676  0.040731  0.010879 ==> 0.676446 
17   200   0.000000  6974275.412365  0.046219  0.010879 ==> 1.455258 
17   400   0.000000  10287977.490621  0.052173  0.010879 ==> 3.935657 
17   600   0.000001  15080325.432031  0.058608  0.010879 ==> 10.256383 
17   800   0.000003  21972189.952418  0.065539  0.010879 ==> 26.556026 
17   1000   0.000016  31830228.378437  0.072982  0.010879 ==> 74.356535 
17   1200   0.000070  45858792.117542  0.080950  0.010879 ==> 193.153277 
17   1400   0.000145  65724355.901011  0.089458  0.010879 ==> 351.131310 
17   1600   0.000229  93723378.220202  0.098520  0.010879 ==> 552.911141 
17   1800   0.000264  133007977.600456  0.108150  0.010879 ==> 741.038858 
17   2000   0.000172  187888337.616144  0.118361  0.010879 ==> 742.438915 
17   2200   0.000113  264236638.848880  0.129167  0.010879 ==> 746.703759 
17   2400   0.000076  370024946.081004  0.140580  0.010879 ==> 753.446480 
17   2600   0.000051  516039347.444382  0.152614  0.010879 ==> 762.369848 
17   2800   0.000035  716825375.953462  0.165280  0.010879 ==> 773.243446 
17   3000   0.000024  991936137.678923  0.178592  0.010879 ==> 785.887266 
17   3200   0.000017  1367575630.542365  0.192562  0.010879 ==> 800.159831 
17   3400   0.000012  1878756733.677455  0.207201  0.010879 ==> 815.949498 
17   3600   0.000008  2572127881.119568  0.222522  0.010879 ==> 833.168000 
17   3800   0.000006  3509666520.969708  0.238537  0.010879 ==> 851.745607 
17   4000   0.000004  4773493634.674262  0.255256  0.010879 ==> 871.627444 
17   4200   0.000003  6472135027.243892  0.272691  0.010879 ==> 892.770668 
17   4400   0.000002  8748645775.995512  0.290854  0.010879 ==> 915.142284 
17   4600   0.000002  11791129116.158735  0.309756  0.010879 ==> 938.717423 
17   4800   0.000001  15846326354.880651  0.329408  0.010879 ==> 963.477999 
17   5000   0.000001  21237137879.161655  0.349820  0.010879 ==> 989.411619 
19   0   0.000000  3654609.752600  0.039931  0.019373 ==> 0.525312 
19   200   0.000000  5448280.138328  0.045052  0.019373 ==> 1.197699 
19   400   0.000000  8066809.878715  0.050616  0.019373 ==> 3.447990 
19   600   0.000002  11866385.190141  0.056640  0.019373 ==> 9.359748 
19   800   0.000008  17347915.332884  0.063138  0.019373 ==> 26.937862 
19   1000   0.000048  25212475.062031  0.070127  0.019373 ==> 83.131032 
19   1200   0.000125  36436812.469375  0.077622  0.019373 ==> 169.116779 
19   1400   0.000242  52375795.804391  0.085637  0.019373 ==> 296.854927 
19   1600   0.000331  74900905.677292  0.094187  0.019373 ==> 435.231625 
19   1800   0.000264  106586800.878146  0.103286  0.019373 ==> 485.799905 
19   2000   0.000172  150961799.222236  0.112948  0.019373 ==> 487.163149 
19   2200   0.000113  212843078.313277  0.123186  0.019373 ==> 490.436078 
19   2400   0.000076  298783845.626268  0.134014  0.019373 ==> 495.363856 
19   2600   0.000051  417668074.335635  0.145445  0.019373 ==> 501.751028 
19   2800   0.000035  581499186.908538  0.157492  0.019373 ==> 509.446357 
19   3000   0.000024  806442973.065139  0.170167  0.019373 ==> 518.331954 
19   3200   0.000017  1114202914.263368  0.183484  0.019373 ==> 528.315415 
19   3400   0.000012  1533829043.347756  0.197454  0.019373 ==> 539.324062 
19   3600   0.000008  2104090871.096478  0.212091  0.019373 ==> 551.300672 
19   3800   0.000006  2876582494.336153  0.227404  0.019373 ==> 564.200279 
19   4000   0.000004  3919775942.971851  0.243408  0.019373 ==> 577.987736 
19   4200   0.000003  5324299862.741656  0.260112  0.019373 ==> 592.635856 
19   4400   0.000002  7209798197.643861  0.277529  0.019373 ==> 608.123962 
19   4600   0.000002  9733821924.502571  0.295670  0.019373 ==> 624.436761 
19   4800   0.000001  13103331467.058180  0.314546  0.019373 ==> 641.563445 
19   5000   0.000001  17589544871.631519  0.334168  0.019373 ==> 659.496983 
21   0   0.000000  2543798.786156  0.037339  0.032580 ==> 0.359373 
21   200   0.000000  3812268.188648  0.041811  0.032580 ==> 0.847581 
21   400   0.000001  5672820.963549  0.046682  0.032580 ==> 2.602287 
21   600   0.000003  8384724.144374  0.051969  0.032580 ==> 7.597200 
21   800   0.000018  12313979.216893  0.057689  0.032580 ==> 24.492441 
21   1000   0.000075  17974718.341572  0.063857  0.032580 ==> 64.500732 
21   1200   0.000174  26085756.933012  0.070490  0.032580 ==> 124.224388 
21   1400   0.000310  37647551.377029  0.077603  0.032580 ==> 209.035514 
21   1600   0.000402  54046533.224730  0.085212  0.032580 ==> 298.794937 
21   1800   0.000264  77196050.465113  0.093331  0.032580 ==> 303.052299 
21   2000   0.000172  109726101.481635  0.101975  0.032580 ==> 304.317208 
21   2200   0.000113  155237901.978264  0.111158  0.032580 ==> 306.806723 
21   2400   0.000076  218644340.440656  0.120895  0.032580 ==> 310.361048 
21   2600   0.000051  306623886.698618  0.131199  0.032580 ==> 314.857895 
21   2800   0.000035  428223945.280625  0.142083  0.032580 ==> 320.202893 
21   3000   0.000024  595660530.102432  0.153562  0.032580 ==> 326.322726 
21   3200   0.000017  825375164.325547  0.165648  0.032580 ==> 333.160165 
21   3400   0.000012  1139427946.141897  0.178353  0.032580 ==> 340.670438 
21   3600   0.000008  1567328864.014010  0.191691  0.032580 ==> 348.818535 
21   3800   0.000006  2148439076.763541  0.205674  0.032580 ==> 357.577187 
21   4000   0.000004  2935111737.155036  0.220314  0.032580 ==> 366.925336 
21   4200   0.000003  3996790223.039948  0.235624  0.032580 ==> 376.846958 
21   4400   0.000002  5425343097.748126  0.251615  0.032580 ==> 387.330152 
21   4600   0.000002  7341993197.640214  0.268299  0.032580 ==> 398.366429 
21   4800   0.000001  9906297251.719130  0.285688  0.032580 ==> 409.950148 
21   5000   0.000001  13327757762.872904  0.303792  0.032580 ==> 422.078070 
23   0   0.000000  1805554.919275  0.035230  0.052698 ==> 0.196459 
23   200   0.000000  2718335.627268  0.038898  0.052698 ==> 0.544425 
23   400   0.000001  4062716.324262  0.042882  0.052698 ==> 1.903266 
23   600   0.000005  6030008.875191  0.047200  0.052698 ==> 6.555273 
23   800   0.000034  8891196.758811  0.051868  0.052698 ==> 21.770045 
23   1000   0.000108  13028173.737919  0.056905  0.052698 ==> 48.909264 
23   1200   0.000235  18976538.464623  0.062326  0.052698 ==> 90.964145 
23   1400   0.000392  27483986.197291  0.068147  0.052698 ==> 148.021673 
23   1600   0.000414  39589677.363176  0.074385  0.052698 ==> 190.651313 
23   1800   0.000264  56731721.982760  0.081054  0.052698 ==> 190.365185 
23   2000   0.000172  80892224.687232  0.088171  0.052698 ==> 191.038292 
23   2200   0.000113  114792348.684736  0.095750  0.052698 ==> 192.530654 
23   2400   0.000076  162153785.512990  0.103806  0.052698 ==> 194.736234 
23   2600   0.000051  228048125.400621  0.112353  0.052698 ==> 197.573956 
23   2800   0.000035  319362248.251509  0.121405  0.052698 ==> 200.981315 
23   3000   0.000024  445416427.706042  0.130976  0.052698 ==> 204.909812 
23   3200   0.000017  618782906.940568  0.141079  0.052698 ==> 209.321650 
23   3400   0.000012  856366958.031510  0.151729  0.052698 ==> 214.187327 
23   3600   0.000008  1180830754.379602  0.162938  0.052698 ==> 219.483838 
23   3800   0.000006  1622463876.735611  0.174720  0.052698 ==> 225.193342 
23   4000   0.000004  2221634336.439855  0.187086  0.052698 ==> 231.302139 
23   4200   0.000003  3031992395.627235  0.200050  0.052698 ==> 237.799889 
23   4400   0.000002  4124648406.890412  0.213624  0.052698 ==> 244.679011 
23   4600   0.000002  5593608161.865316  0.227821  0.052698 ==> 251.934206 
23   4800   0.000001  7562828309.193158  0.242651  0.052698 ==> 259.562084 
23   5000   0.000001  10195354629.815754  0.258127  0.052698 ==> 267.560868 
25   0   0.000000  1112269.077364  0.030405  0.082412 ==> 0.106378 
25   200   0.000000  1690301.159034  0.033834  0.082412 ==> 0.384082 
25   400   0.000001  2548675.927084  0.037581  0.082412 ==> 1.575953 
25   600   0.000014  3814594.204080  0.041664  0.082412 ==> 6.442855 
25   800   0.000054  5669380.279889  0.046102  0.082412 ==> 16.402869 
25   1000   0.000140  8370127.653032  0.050912  0.082412 ==> 33.715925 
25   1200   0.000285  12279499.540795  0.056111  0.082412 ==> 61.214001 
25   1400   0.000439  17906584.367267  0.061715  0.082412 ==> 96.114859 
25   1600   0.000414  25962682.138521  0.067741  0.082412 ==> 117.816991 
25   1800   0.000264  37437184.434429  0.074204  0.082412 ==> 118.318555 
25   2000   0.000172  53700402.894327  0.081120  0.082412 ==> 119.387538 
25   2200   0.000113  76642419.893710  0.088505  0.082412 ==> 120.946864 
25   2400   0.000076  108859936.533391  0.096374  0.082412 ==> 122.938320 
25   2600   0.000051  153906877.011786  0.104740  0.082412 ==> 125.317607 
25   2800   0.000035  216629430.677523  0.113619  0.082412 ==> 128.050796 
25   3000   0.000024  303612600.037491  0.123024  0.082412 ==> 131.111799 
25   3200   0.000017  423773590.608490  0.132970  0.082412 ==> 134.480532 
25   3400   0.000012  589148055.456322  0.143470  0.082412 ==> 138.141570 
25   3600   0.000008  815928964.380453  0.154538  0.082412 ==> 142.083150 
25   3800   0.000006  1125835554.466681  0.166186  0.082412 ==> 146.296424 
25   4000   0.000004  1547912508.898404  0.178428  0.082412 ==> 150.774890 
25   4200   0.000003  2120888559.245735  0.191276  0.082412 ==> 155.513955 
25   4400   0.000002  2896260819.218185  0.204744  0.082412 ==> 160.510599 
25   4600   0.000002  3942318480.371949  0.218842  0.082412 ==> 165.763109 
25   4800   0.000001  5349379725.259500  0.233584  0.082412 ==> 171.270872 
25   5000   0.000001  7236592215.356827  0.248982  0.082412 ==> 177.034205 
27   0   0.000000  637266.246240  0.030616  0.120211 ==> 0.093899 
27   200   0.000000  979744.658144  0.034016  0.120211 ==> 0.353225 
27   400   0.000004  1493503.873064  0.037736  0.120211 ==> 1.641951 
27   600   0.000026  2258476.526999  0.041795  0.120211 ==> 5.635891 
27   800   0.000082  3389494.177805  0.046211  0.120211 ==> 12.992235 
27   1000   0.000199  5050578.278548  0.051004  0.120211 ==> 25.891174 
27   1200   0.000385  7474733.152293  0.056190  0.120211 ==> 45.959964 
27   1400   0.000539  10991237.120761  0.061789  0.120211 ==> 69.183781 
27   1600   0.000414  16063111.919837  0.067815  0.120211 ==> 76.773252 
27   1800   0.000264  23338356.330869  0.074287  0.120211 ==> 77.393090 
27   2000   0.000172  33719725.788900  0.081220  0.120211 ==> 78.379377 
27   2200   0.000113  48459413.755093  0.088630  0.120211 ==> 79.685396 
27   2400   0.000076  69287056.501690  0.096533  0.120211 ==> 81.275975 
27   2600   0.000051  98582186.795855  0.104944  0.120211 ==> 83.124470 
27   2800   0.000035  139605791.289083  0.113878  0.120211 ==> 85.210611 
27   3000   0.000024  196810221.259495  0.123350  0.120211 ==> 87.518955 
27   3200   0.000017  276252673.338139  0.133373  0.120211 ==> 90.037760 
27   3400   0.000012  386145186.830562  0.143961  0.120211 ==> 92.758164 
27   3600   0.000008  537584094.424984  0.155129  0.120211 ==> 95.673574 
27   3800   0.000006  745514744.692983  0.166890  0.120211 ==> 98.779208 
27   4000   0.000004  1030003887.685162  0.179258  0.120211 ==> 102.071744 
27   4200   0.000003  1417913390.696321  0.192244  0.120211 ==> 105.549055 
27   4400   0.000002  1945096206.973948  0.205863  0.120211 ==> 109.210000 
27   4600   0.000002  2659270365.066194  0.220126  0.120211 ==> 113.054262 
27   4800   0.000001  3623771205.100611  0.235047  0.120211 ==> 117.082221 
27   5000   0.000001  4922438702.938190  0.250637  0.120211 ==> 121.294848 
29   0   0.000000  306984.308575  0.037540  0.169450 ==> 0.081639 
29   200   0.000001  480129.681747  0.041190  0.169450 ==> 0.307509 
29   400   0.000006  743754.641631  0.045161  0.169450 ==> 1.322340 
29   600   0.000030  1141802.201787  0.049475  0.169450 ==> 3.957508 
29   800   0.000096  1738109.627724  0.054153  0.169450 ==> 9.142702 
29   1000   0.000235  2624828.355728  0.059215  0.169450 ==> 18.382774 
29   1200   0.000448  3934184.476635  0.064681  0.169450 ==> 32.506228 
29   1400   0.000614  5854825.440997  0.070570  0.169450 ==> 48.496098 
29   1600   0.000414  8654436.288487  0.076901  0.169450 ==> 50.543839 
29   1800   0.000264  12710891.569339  0.083690  0.169450 ==> 51.060870 
29   2000   0.000172  18554982.819882  0.090956  0.169450 ==> 51.823467 
29   2200   0.000113  26928785.177660  0.098715  0.169450 ==> 52.802074 
29   2400   0.000076  38865077.111042  0.106984  0.169450 ==> 53.974497 
29   2600   0.000051  55795003.253241  0.115779  0.169450 ==> 55.323997 
29   2800   0.000035  79693499.444289  0.125115  0.169450 ==> 56.837917 
29   3000   0.000024  113275045.110843  0.135007  0.169450 ==> 58.506695 
29   3200   0.000017  160256281.086761  0.145470  0.169450 ==> 60.323150 
29   3400   0.000012  225707199.594261  0.156519  0.169450 ==> 62.281957 
29   3600   0.000008  316519320.371747  0.168169  0.169450 ==> 64.379259 
29   3800   0.000006  442027949.798252  0.180432  0.169450 ==> 66.612373 
29   4000   0.000004  614836833.816488  0.193323  0.169450 ==> 68.979564 
29   4200   0.000003  851907965.295074  0.206855  0.169450 ==> 71.479880 
29   4400   0.000002  1175997884.717357  0.221042  0.169450 ==> 74.113016 
29   4600   0.000002  1617545647.872257  0.235895  0.169450 ==> 76.879207 
29   4800   0.000001  2217148148.899191  0.251429  0.169450 ==> 79.779154 
29   5000   0.000001  3028797474.235910  0.267655  0.169450 ==> 82.813949 
31   0   0.000000  36816.533249  0.001563  0.232862 ==> 0.006596 
31   200   0.000001  61094.172038  0.002164  0.232862 ==> 0.027130 
31   400   0.000007  99953.547552  0.002907  0.232862 ==> 0.118280 
31   600   0.000036  161413.648985  0.003805  0.232862 ==> 0.388539 
31   800   0.000124  257550.848250  0.004875  0.232862 ==> 1.024468 
31   1000   0.000315  406396.223109  0.006130  0.232862 ==> 2.301667 
31   1200   0.000593  634656.284235  0.007585  0.232862 ==> 4.389368 
31   1400   0.000661  981590.020542  0.009255  0.232862 ==> 6.363940 
31   1600   0.000414  1504501.024955  0.011153  0.232862 ==> 6.846119 
31   1800   0.000264  2286473.936190  0.013293  0.232862 ==> 7.362566 
31   2000   0.000172  3447214.419992  0.015689  0.232862 ==> 7.913783 
31   2200   0.000113  5158160.992126  0.018354  0.232862 ==> 8.500405 
31   2400   0.000076  7663450.814801  0.021302  0.232862 ==> 9.123197 
31   2600   0.000051  11308873.711532  0.024546  0.232862 ==> 9.783038 
31   2800   0.000035  16581682.739910  0.028098  0.232862 ==> 10.480909 
31   3000   0.000024  24165102.522347  0.031972  0.232862 ==> 11.217876 
31   3200   0.000017  35012661.756850  0.036179  0.232862 ==> 11.995082 
31   3400   0.000012  50449169.050639  0.040733  0.232862 ==> 12.813738 
31   3600   0.000008  72307374.116979  0.045645  0.232862 ==> 13.675118 
31   3800   0.000006  103112267.261425  0.050927  0.232862 ==> 14.580551 
31   4000   0.000004  146328771.490529  0.056592  0.232862 ==> 15.531422 
31   4200   0.000003  206693532.844484  0.062650  0.232862 ==> 16.529167 
31   4400   0.000002  290657947.040320  0.069115  0.232862 ==> 17.575268 
31   4600   0.000002  406977896.680807  0.075996  0.232862 ==> 18.671258 
31   4800   0.000001  567496450.655938  0.083306  0.232862 ==> 19.818715 
31   5000   0.000001  788179678.473286  0.091055  0.232862 ==> 21.019263 
33   0   0.000000  30800.099522  0.194341  0.315353 ==> 0.075129 
33   200   0.000001  51678.166728  0.202716  0.315353 ==> 0.233510 
33   400   0.000007  85390.312688  0.212187  0.315353 ==> 0.809104 
33   600   0.000035  139133.560835  0.222769  0.315353 ==> 2.327234 
33   800   0.000132  223806.860736  0.234480  0.315353 ==> 5.884151 
33   1000   0.000380  355766.441664  0.247335  0.315353 ==> 12.912919 
33   1200   0.000746  559351.991763  0.261354  0.315353 ==> 23.307632 
33   1400   0.000661  870498.457634  0.276555  0.315353 ==> 28.151358 
33   1600   0.000414  1341868.278525  0.292956  0.315353 ==> 28.474866 
33   1800   0.000264  2050101.759727  0.310577  0.315353 ==> 28.957237 
33   2000   0.000172  3106003.444690  0.329436  0.315353 ==> 29.579367 
33   2200   0.000113  4668778.714439  0.349553  0.315353 ==> 30.327078 
33   2400   0.000076  6965832.294648  0.370947  0.315353 ==> 31.189840 
33   2600   0.000051  10320171.422740  0.393635  0.315353 ==> 32.159838 
33   2800   0.000035  15188163.566527  0.417637  0.315353 ==> 33.231299 
33   3000   0.000024  22211337.010483  0.442972  0.315353 ==> 34.400009 
33   3200   0.000017  32287153.973420  0.469658  0.315353 ==> 35.662961 
33   3400   0.000012  46665322.887796  0.497712  0.315353 ==> 37.018091 
33   3600   0.000008  67078368.696342  0.527154  0.315353 ==> 38.464092 
33   3800   0.000006  95918001.545701  0.558000  0.315353 ==> 40.000261 
33   4000   0.000004  136472512.938341  0.590270  0.315353 ==> 41.626395 
33   4200   0.000003  193245237.804978  0.623979  0.315353 ==> 43.342702 
33   4400   0.000002  272380375.303633  0.659146  0.315353 ==> 45.149737 
33   4600   0.000002  382230574.121716  0.695788  0.315353 ==> 47.048347 
33   4800   0.000001  534111186.376861  0.733921  0.315353 ==> 49.039636 
33   5000   0.000001  743299647.167166  0.773563  0.315353 ==> 51.124926 
35   0   0.000000  18380.398012  0.182734  0.424393 ==> 0.057906 
35   200   0.000001  31286.730748  0.190896  0.424393 ==> 0.174998 
35   400   0.000009  52381.367520  0.200200  0.424393 ==> 0.601830 
35   600   0.000045  86388.110581  0.210662  0.424393 ==> 1.742821 
35   800   0.000174  140523.279500  0.222300  0.424393 ==> 4.490334 
35   1000   0.000528  225705.078846  0.235131  0.424393 ==> 10.180972 
35   1200   0.000988  358305.186610  0.249174  0.424393 ==> 18.072382 
35   1400   0.000661  562668.211137  0.264449  0.424393 ==> 19.078156 
35   1600   0.000414  874712.182008  0.280974  0.424393 ==> 19.408217 
35   1800   0.000264  1347042.511410  0.298769  0.424393 ==> 19.845296 
35   2000   0.000172  2056173.701456  0.317853  0.424393 ==> 20.377908 
35   2200   0.000113  3112671.762147  0.338246  0.424393 ==> 20.997586 
35   2400   0.000076  4675324.645043  0.359966  0.424393 ==> 21.698112 
35   2600   0.000051  6970842.659797  0.383033  0.424393 ==> 22.474949 
35   2800   0.000035  10321118.099673  0.407466  0.424393 ==> 23.324833 
35   3000   0.000024  15180775.258210  0.433284  0.424393 ==> 24.245472 
35   3200   0.000017  22188673.434861  0.460505  0.424393 ==> 25.235331 
35   3400   0.000012  32238257.442788  0.489148  0.424393 ==> 26.293472 
35   3600   0.000008  46573274.462214  0.519231  0.424393 ==> 27.419436 
35   3800   0.000006  66917511.451895  0.550772  0.424393 ==> 28.613150 
35   4000   0.000004  95650006.459712  0.583789  0.424393 ==> 29.874862 
35   4200   0.000003  136040846.213354  0.618301  0.424393 ==> 31.205088 
35   4400   0.000002  192567432.682386  0.654323  0.424393 ==> 32.604567 
35   4600   0.000002  271337304.272452  0.691875  0.424393 ==> 34.074237 
35   4800   0.000001  380651642.985556  0.730972  0.424393 ==> 35.615200 
35   5000   0.000001  531754009.321050  0.771633  0.424393 ==> 37.228710 
37   0   0.000000  9581.144409  0.019154  0.563542 ==> 0.009939 
37   200   0.000001  16713.561443  0.023369  0.563542 ==> 0.037238 
37   400   0.000010  28604.504216  0.028143  0.563542 ==> 0.150756 
37   600   0.000054  48121.283947  0.033498  0.563542 ==> 0.490848 
37   800   0.000234  79702.567252  0.039454  0.563542 ==> 1.430760 
37   1000   0.000751  130146.501370  0.046029  0.563542 ==> 3.540702 
37   1200   0.001078  209762.659907  0.053242  0.563542 ==> 5.791887 
37   1400   0.000661  334043.175328  0.061111  0.563542 ==> 6.132285 
37   1600   0.000414  526070.083123  0.069654  0.563542 ==> 6.503325 
37   1800   0.000264  819960.396474  0.078887  0.563542 ==> 6.904282 
37   2000   0.000172  1265765.680801  0.088826  0.563542 ==> 7.334736 
37   2200   0.000113  1936399.409587  0.099488  0.563542 ==> 7.794542 
37   2400   0.000076  2937377.037842  0.110888  0.563542 ==> 8.283786 
37   2600   0.000051  4420438.811287  0.123042  0.563542 ==> 8.802738 
37   2800   0.000035  6602507.842662  0.135963  0.563542 ==> 9.351814 
37   3000   0.000024  9791947.352013  0.149668  0.563542 ==> 9.931554 
37   3200   0.000017  14424762.191023  0.164169  0.563542 ==> 10.542595 
37   3400   0.000012  21114294.216455  0.179482  0.563542 ==> 11.185658 
37   3600   0.000008  30719158.001363  0.195619  0.563542 ==> 11.861534 
37   3800   0.000006  44435742.421884  0.212594  0.563542 ==> 12.571079 
37   4000   0.000004  63923680.576683  0.230420  0.563542 ==> 13.315201 
37   4200   0.000003  91475414.358105  0.249111  0.563542 ==> 14.094859 
37   4400   0.000002  130244542.339036  0.268679  0.563542 ==> 14.911058 
37   4600   0.000002  184552286.006849  0.289136  0.563542 ==> 15.764846 
37   4800   0.000001  260297453.824609  0.310496  0.563542 ==> 16.657312 
37   5000   0.000001  365503125.960232  0.332769  0.563542 ==> 17.589582 
39   0   0.000000  2416.893149  0.009024  0.736349 ==> 0.003283 
39   200   0.000001  4467.243945  0.012217  0.736349 ==> 0.013205 
39   400   0.000011  8046.200723  0.016015  0.736349 ==> 0.055358 
39   600   0.000062  14166.634014  0.020451  0.736349 ==> 0.196535 
39   800   0.000297  24443.843736  0.025557  0.736349 ==> 0.628812 
39   1000   0.001017  41419.962817  0.031366  0.736349 ==> 1.679133 
39   1200   0.001078  69047.709153  0.037906  0.736349 ==> 2.452895 
39   1400   0.000661  113405.354680  0.045207  0.736349 ==> 2.688442 
39   1600   0.000414  183744.714914  0.053296  0.736349 ==> 2.941151 
39   1800   0.000264  294015.470401  0.062201  0.736349 ==> 3.211616 
39   2000   0.000172  465066.385556  0.071946  0.736349 ==> 3.500424 
39   2200   0.000113  727802.571349  0.082559  0.736349 ==> 3.808180 
39   2400   0.000076  1127685.282034  0.094063  0.736349 ==> 4.135520 
39   2600   0.000051  1731106.714163  0.106482  0.736349 ==> 4.483113 
39   2800   0.000035  2634369.947047  0.119839  0.736349 ==> 4.851656 
39   3000   0.000024  3976270.744185  0.134159  0.736349 ==> 5.241881 
39   3200   0.000017  5955636.050828  0.149462  0.736349 ==> 5.654546 
39   3400   0.000012  8855653.315520  0.165771  0.736349 ==> 6.090437 
39   3600   0.000008  13077463.951799  0.183106  0.736349 ==> 6.550369 
39   3800   0.000006  19186343.769489  0.201490  0.736349 ==> 7.035180 
39   4000   0.000004  27974918.543965  0.220943  0.736349 ==> 7.545739 
39   4200   0.000003  40549348.906807  0.241484  0.736349 ==> 8.082935 
39   4400   0.000002  58446375.064905  0.263133  0.736349 ==> 8.647686 
39   4600   0.000002  83791679.788771  0.285911  0.736349 ==> 9.240935 
39   4800   0.000001  119513389.334543  0.309836  0.736349 ==> 9.863650 
39   5000   0.000001  169628919.531218  0.334927  0.736349 ==> 10.516825 
41   0   0.000000  1049.095497  0.001789  0.941572 ==> 0.001058 
41   200   0.000002  2003.458271  0.002833  0.941572 ==> 0.004522 
41   400   0.000016  3713.968250  0.004216  0.941572 ==> 0.020186 
41   600   0.000087  6708.928345  0.005974  0.941572 ==> 0.076079 
41   800   0.000404  11845.780002  0.008140  0.941572 ==> 0.254800 
41   1000   0.001279  20495.719571  0.010748  0.941572 ==> 0.685663 
41   1200   0.001078  34822.328268  0.013829  0.941572 ==> 0.930456 
41   1400   0.000661  58197.997743  0.017415  0.941572 ==> 1.057091 
41   1600   0.000414  95820.698522  0.021534  0.941572 ==> 1.193909 
41   1800   0.000264  155619.847647  0.026215  0.941572 ==> 1.341427 
41   2000   0.000172  249576.431134  0.031486  0.941572 ==> 1.500152 
41   2200   0.000113  395632.819593  0.037373  0.941572 ==> 1.670587 
41   2400   0.000076  620436.827344  0.043902  0.941572 ==> 1.853247 
41   2600   0.000051  963259.104322  0.051098  0.941572 ==> 2.048654 
41   2800   0.000035  1481551.684801  0.058986  0.941572 ==> 2.257346 
41   3000   0.000024  2258790.060039  0.067589  0.941572 ==> 2.479873 
41   3200   0.000017  3415476.820021  0.076930  0.941572 ==> 2.716802 
41   3400   0.000012  5124501.885259  0.087033  0.941572 ==> 2.968712 
41   3600   0.000008  7632479.064407  0.097920  0.941572 ==> 3.236203 
41   3800   0.000006  11289245.698510  0.109612  0.941572 ==> 3.519885 
41   4000   0.000004  16588466.557724  0.122130  0.941572 ==> 3.820390 
41   4200   0.000003  24223283.533646  0.135496  0.941572 ==> 4.138364 
41   4400   0.000002  35162274.987596  0.149730  0.941572 ==> 4.474470 
41   4600   0.000002  50752731.111491  0.164852  0.941572 ==> 4.829390 
41   4800   0.000001  72860541.055044  0.180882  0.941572 ==> 5.203824 
41   5000   0.000001  104058986.935897  0.197839  0.941572 ==> 5.598488 
43   0   0.000000  755.065771  0.000143  1.176473 ==> 0.000244 
43   200   0.000002  1444.325820  0.000280  1.176473 ==> 0.001153 
43   400   0.000020  2682.925708  0.000522  1.176473 ==> 0.006055 
43   600   0.000117  4857.545899  0.000892  1.176473 ==> 0.025997 
43   800   0.000579  8597.832047  0.001420  1.176473 ==> 0.097156 
43   1000   0.001694  14913.915328  0.002131  1.176473 ==> 0.268126 
43   1200   0.001078  25404.620156  0.003053  1.176473 ==> 0.334044 
43   1400   0.000661  42569.585929  0.004213  1.176473 ==> 0.397800 
43   1600   0.000414  70272.902614  0.005637  1.176473 ==> 0.467996 
43   1800   0.000264  114425.985457  0.007353  1.176473 ==> 0.544971 
43   2000   0.000172  183985.432894  0.009384  1.176473 ==> 0.629071 
43   2200   0.000113  292400.408822  0.011757  1.176473 ==> 0.720647 
43   2400   0.000076  459697.537231  0.014497  1.176473 ==> 0.820062 
43   2600   0.000051  715464.568406  0.017626  1.176473 ==> 0.927689 
43   2800   0.000035  1103094.062212  0.021169  1.176473 ==> 1.043910 
43   3000   0.000024  1685784.177746  0.025150  1.176473 ==> 1.169121 
43   3200   0.000017  2554977.448065  0.029590  1.176473 ==> 1.303727 
43   3400   0.000012  3842166.083923  0.034513  1.176473 ==> 1.448144 
43   3600   0.000008  5735324.817946  0.039939  1.176473 ==> 1.602803 
43   3800   0.000006  8501676.976003  0.045891  1.176473 ==> 1.768145 
43   4000   0.000004  12519092.131377  0.052389  1.176473 ==> 1.944623 
43   4200   0.000003  18319200.954965  0.059455  1.176473 ==> 2.132705 
43   4400   0.000002  26646355.225762  0.067108  1.176473 ==> 2.332870 
43   4600   0.000002  38537936.769608  0.075369  1.176473 ==> 2.545610 
43   4800   0.000001  55433329.573949  0.084258  1.176473 ==> 2.771434 
43   5000   0.000001  79321244.920206  0.093793  1.176473 ==> 3.010860 
45   0   0.000000  453.351074  0.000067  1.453041 ==> 0.000112 
45   200   0.000003  882.255689  0.000048  1.453041 ==> 0.000355 
45   400   0.000025  1663.628300  0.000061  1.453041 ==> 0.001641 
45   600   0.000174  3051.849576  0.000111  1.453041 ==> 0.008007 
45   800   0.000916  5464.795747  0.000212  1.453041 ==> 0.033900 
45   1000   0.001800  9578.136596  0.000379  1.453041 ==> 0.084033 
45   1200   0.001078  16469.018690  0.000628  1.453041 ==> 0.109744 
45   1400   0.000661  27832.673876  0.000978  1.453041 ==> 0.139441 
45   1600   0.000414  46305.865652  0.001448  1.453041 ==> 0.173264 
45   1800   0.000264  75945.631325  0.002059  1.453041 ==> 0.211405 
45   2000   0.000172  122932.098992  0.002830  1.453041 ==> 0.254085 
45   2200   0.000113  196592.394650  0.003782  1.453041 ==> 0.301542 
45   2400   0.000076  310881.682981  0.004934  1.453041 ==> 0.354026 
45   2600   0.000051  486511.061138  0.006308  1.453041 ==> 0.411800 
45   2800   0.000035  753985.495645  0.007924  1.453041 ==> 0.475133 
45   3000   0.000024  1157915.105622  0.009802  1.453041 ==> 0.544308 
45   3200   0.000017  1763098.926546  0.011963  1.453041 ==> 0.619615 
45   3400   0.000012  2663063.826294  0.014425  1.453041 ==> 0.701354 
45   3600   0.000008  3991988.274149  0.017210  1.453041 ==> 0.789834 
45   3800   0.000006  5941271.901928  0.020336  1.453041 ==> 0.885373 
45   4000   0.000004  8782454.355747  0.023823  1.453041 ==> 0.988301 
45   4200   0.000003  12898776.191869  0.027691  1.453041 ==> 1.098956 
45   4400   0.000002  18828456.547851  0.031958  1.453041 ==> 1.217687 
45   4600   0.000002  27323796.747798  0.036644  1.453041 ==> 1.344851 
45   4800   0.000001  39431583.179715  0.041766  1.453041 ==> 1.480819 
45   5000   0.000001  56602056.510863  0.047344  1.453041 ==> 1.625971 
47   0   0.000001  599.221053  0.024161  1.776420 ==> 0.003110 
47   200   0.000006  1186.129511  0.028642  1.776420 ==> 0.012925 
47   400   0.000052  2266.297200  0.034225  1.776420 ==> 0.059900 
47   600   0.000351  4201.148657  0.040990  1.776420 ==> 0.231130 
47   800   0.001485  7586.227221  0.049008  1.776420 ==> 0.698752 
47   1000   0.001800  13386.829653  0.058350  1.776420 ==> 1.115169 
47   1200   0.001078  23144.613453  0.069080  1.776420 ==> 1.234302 
47   1400   0.000661  39289.000603  0.081263  1.776420 ==> 1.365940 
47   1600   0.000414  65601.988641  0.094957  1.776420 ==> 1.510264 
47   1800   0.000264  107905.734481  0.110221  1.776420 ==> 1.667495 
47   2000   0.000172  175071.233051  0.127110  1.776420 ==> 1.837916 
47   2200   0.000113  280486.587288  0.145679  1.776420 ==> 2.021869 
47   2400   0.000076  444178.809583  0.165980  1.776420 ==> 2.219748 
47   2600   0.000051  695859.228577  0.188064  1.776420 ==> 2.431993 
47   2800   0.000035  1079266.625110  0.211979  1.776420 ==> 2.659080 
47   3000   0.000024  1658323.783205  0.237774  1.776420 ==> 2.901520 
47   3200   0.000017  2525814.914839  0.265496  1.776420 ==> 3.159855 
47   3400   0.000012  3815550.148890  0.295190  1.776420 ==> 3.434653 
47   3600   0.000008  5719330.981500  0.326902  1.776420 ==> 3.726511 
47   3800   0.000006  8510496.120389  0.360674  1.776420 ==> 4.036045 
47   4000   0.000004  12576448.218305  0.396550  1.776420 ==> 4.363898 
47   4200   0.000003  18463387.696740  0.434572  1.776420 ==> 4.710734 
47   4400   0.000002  26937574.022604  0.474780  1.776420 ==> 5.077239 
47   4600   0.000002  39068880.102730  0.517216  1.776420 ==> 5.464120 
47   4800   0.000001  56344308.766506  0.561918  1.776420 ==> 5.872107 
47   5000   0.000001  80821639.380965  0.608926  1.776420 ==> 6.301949 
49   0   0.000001  346.881858  0.070217  2.157840 ==> 0.005010 
49   200   0.000011  708.436378  0.073916  2.157840 ==> 0.020352 
49   400   0.000104  1389.708637  0.078655  2.157840 ==> 0.090889 
49   600   0.000609  2634.962471  0.084515  2.157840 ==> 0.314177 
49   800   0.002072  4852.299978  0.091574  2.157840 ==> 0.818565 
49   1000   0.001800  8711.412952  0.099904  2.157840 ==> 1.068021 
49   1200   0.001078  15293.785627  0.109573  2.157840 ==> 1.146544 
49   1400   0.000661  26320.893167  0.120646  2.157840 ==> 1.236006 
49   1600   0.000414  44497.320807  0.133186  2.157840 ==> 1.336566 
49   1800   0.000264  74021.778135  0.147252  2.157840 ==> 1.448383 
49   2000   0.000172  121341.476442  0.162901  2.157840 ==> 1.571654 
49   2200   0.000113  196256.676656  0.180188  2.157840 ==> 1.706619 
49   2400   0.000076  313525.639516  0.199168  2.157840 ==> 1.853559 
49   2600   0.000051  495180.064509  0.219892  2.157840 ==> 2.012793 
49   2800   0.000035  773843.199860  0.242411  2.157840 ==> 2.184673 
49   3000   0.000024  1197454.880186  0.266773  2.157840 ==> 2.369586 
49   3200   0.000017  1835960.067788  0.293026  2.157840 ==> 2.567945 
49   3400   0.000012  2790723.613087  0.321217  2.157840 ==> 2.780191 
49   3600   0.000008  4207711.798679  0.351392  2.157840 ==> 3.006791 
49   3800   0.000006  6295854.289376  0.383594  2.157840 ==> 3.248236 
49   4000   0.000004  9352499.151262  0.417867  2.157840 ==> 3.505039 
49   4200   0.000003  13798538.806854  0.454254  2.157840 ==> 3.777736 
49   4400   0.000002  20226668.474389  0.492797  2.157840 ==> 4.066883 
49   4600   0.000002  29467408.719750  0.533537  2.157840 ==> 4.373058 
49   4800   0.000001  42679068.185165  0.576513  2.157840 ==> 4.696858 
49   5000   0.000001  61469854.954863  0.621765  2.157840 ==> 5.038903 
51   0   0.000001  202.738304  0.080780  2.621376 ==> 0.002688 
51   200   0.000007  428.191733  0.083794  2.621376 ==> 0.012012 
51   400   0.000076  863.741965  0.087784  2.621376 ==> 0.058918 
51   600   0.000549  1676.862388  0.092838  2.621376 ==> 0.226230 
51   800   0.002096  3151.361883  0.099036  2.621376 ==> 0.626147 
51   1000   0.001800  5758.855357  0.106454  2.621376 ==> 0.813279 
51   1200   0.001078  10269.547552  0.115164  2.621376 ==> 0.873897 
51   1400   0.000661  17921.887336  0.125231  2.621376 ==> 0.942773 
51   1600   0.000414  30679.524865  0.136721  2.621376 ==> 1.020192 
51   1800   0.000264  51616.579455  0.149695  2.621376 ==> 1.106413 
51   2000   0.000172  85489.928162  0.164212  2.621376 ==> 1.201700 
51   2200   0.000113  139581.991641  0.180328  2.621376 ==> 1.306329 
51   2400   0.000076  224931.944394  0.198099  2.621376 ==> 1.420598 
51   2600   0.000051  358120.937875  0.217577  2.621376 ==> 1.544822 
51   2800   0.000035  563842.524785  0.238813  2.621376 ==> 1.679334 
51   3000   0.000024  878579.324569  0.261859  2.621376 ==> 1.824488 
51   3200   0.000017  1355829.472054  0.286762  2.621376 ==> 1.980655 
51   3400   0.000012  2073492.675394  0.313569  2.621376 ==> 2.148224 
51   3600   0.000008  3144250.481145  0.342328  2.621376 ==> 2.327604 
51   3800   0.000006  4730077.963490  0.373083  2.621376 ==> 2.519220 
51   4000   0.000004  7062429.930325  0.405878  2.621376 ==> 2.723514 
51   4200   0.000003  10470187.116133  0.440757  2.621376 ==> 2.940947 
51   4400   0.000002  15418170.081957  0.477762  2.621376 ==> 3.171994 
51   4600   0.000002  22559987.088394  0.516934  2.621376 ==> 3.417150 
51   4800   0.000001  32810250.249171  0.558315  2.621376 ==> 3.676925 
51   5000   0.000001  47442866.529736  0.601943  2.621376 ==> 3.951846 
53   0   0.000001  68.880731  0.037725  3.161630 ==> 0.000829 
53   200   0.000004  151.382035  0.043910  3.161630 ==> 0.003748 
53   400   0.000048  317.402412  0.052975  3.161630 ==> 0.020127 
53   600   0.000390  637.803000  0.061937  3.161630 ==> 0.087508 
53   800   0.001979  1235.971256  0.070466  3.161630 ==> 0.292625 
53   1000   0.001800  2321.591225  0.078552  3.161630 ==> 0.403898 
53   1200   0.001078  4244.076955  0.086257  3.161630 ==> 0.442716 
53   1400   0.000661  7575.686166  0.093661  3.161630 ==> 0.482680 
53   1600   0.000414  13239.207560  0.100848  3.161630 ==> 0.524099 
53   1800   0.000264  22701.949317  0.107895  3.161630 ==> 0.567231 
53   2000   0.000172  38267.457883  0.114875  3.161630 ==> 0.612313 
53   2200   0.000113  63510.087812  0.121856  3.161630 ==> 0.659568 
53   2400   0.000076  103916.747470  0.128897  3.161630 ==> 0.709217 
53   2600   0.000051  167826.923830  0.136057  3.161630 ==> 0.761480 
53   2800   0.000035  267799.224020  0.143388  3.161630 ==> 0.816580 
53   3000   0.000024  422583.898370  0.150937  3.161630 ==> 0.874743 
53   3200   0.000017  659951.128996  0.158750  3.161630 ==> 0.936198 
53   3400   0.000012  1020720.942975  0.166869  3.161630 ==> 1.001180 
53   3600   0.000008  1564471.288869  0.175334  3.161630 ==> 1.069930 
53   3800   0.000006  2377577.809729  0.184182  3.161630 ==> 1.142692 
53   4000   0.000004  3584477.598539  0.193448  3.161630 ==> 1.219717 
53   4200   0.000003  5363370.036609  0.203166  3.161630 ==> 1.301260 
53   4400   0.000002  7967997.299876  0.213368  3.161630 ==> 1.387582 
53   4600   0.000002  11757720.041067  0.224084  3.161630 ==> 1.478950 
53   4800   0.000001  17238865.417561  0.235344  3.161630 ==> 1.575637 
53   5000   0.000001  25121333.896092  0.247176  3.161630 ==> 1.677918 
55   0   0.000163  21.969579  0.058986  3.785276 ==> 0.009376 
55   200   0.000958  52.246593  0.062485  3.785276 ==> 0.036018 
55   400   0.005302  118.661030  0.068362  3.785276 ==> 0.133595 
55   600   0.005474  255.041044  0.073902  3.785276 ==> 0.206913 
55   800   0.003093  523.003486  0.078937  3.785276 ==> 0.230175 
55   1000   0.001800  1030.830389  0.083561  3.785276 ==> 0.253689 
55   1200   0.001078  1964.257620  0.087904  3.785276 ==> 0.277873 
55   1400   0.000661  3635.315415  0.092083  3.785276 ==> 0.302995 
55   1600   0.000414  6558.678137  0.096199  3.785276 ==> 0.329267 
55   1800   0.000264  11569.496762  0.100336  3.785276 ==> 0.356878 
55   2000   0.000172  20003.152527  0.104565  3.785276 ==> 0.386006 
55   2200   0.000113  33966.575253  0.108947  3.785276 ==> 0.416826 
55   2400   0.000076  56743.789030  0.113533  3.785276 ==> 0.449512 
55   2600   0.000051  93396.644749  0.118369  3.785276 ==> 0.484237 
55   2800   0.000035  151647.258612  0.123495  3.785276 ==> 0.521179 
55   3000   0.000024  243164.179876  0.128946  3.785276 ==> 0.560515 
55   3200   0.000017  385423.366422  0.134755  3.785276 ==> 0.602426 
55   3400   0.000012  604382.483950  0.140952  3.785276 ==> 0.647096 
55   3600   0.000008  938299.309309  0.147563  3.785276 ==> 0.694711 
55   3800   0.000006  1443150.678359  0.154613  3.785276 ==> 0.745459 
55   4000   0.000004  2200278.822209  0.162126  3.785276 ==> 0.799532 
55   4200   0.000003  3327122.063148  0.170124  3.785276 ==> 0.857124 
55   4400   0.000002  4992196.403126  0.178629  3.785276 ==> 0.918433 
55   4600   0.000002  7435909.385394  0.187659  3.785276 ==> 0.983658 
55   4800   0.000001  10999341.549559  0.197233  3.785276 ==> 1.053004 
55   5000   0.000001  16163867.910142  0.207371  3.785276 ==> 1.126676 
57   0   0.000290  12.145007  0.167910  4.525403 ==> 0.014327 
57   200   0.001338  30.711647  0.144134  4.525403 ==> 0.045349 
57   400   0.006073  74.198892  0.148084  4.525403 ==> 0.152185 
57   600   0.005474  167.382068  0.154716  4.525403 ==> 0.221817 
57   800   0.003093  356.583312  0.161409  4.525403 ==> 0.248560 
57   1000   0.001800  724.738130  0.167684  4.525403 ==> 0.275590 
57   1200   0.001078  1416.337486  0.173529  4.525403 ==> 0.303203 
57   1400   0.000661  2677.372587  0.179042  4.525403 ==> 0.331610 
57   1600   0.000414  4918.299720  0.184338  4.525403 ==> 0.360986 
57   1800   0.000264  8811.936700  0.189522  4.525403 ==> 0.391489 
57   2000   0.000172  15443.798756  0.194685  4.525403 ==> 0.423268 
57   2200   0.000113  26540.380174  0.199905  4.525403 ==> 0.456465 
57   2400   0.000076  44812.240808  0.205248  4.525403 ==> 0.491223 
57   2600   0.000051  74464.763847  0.210771  4.525403 ==> 0.527684 
57   2800   0.000035  121951.881129  0.216522  4.525403 ==> 0.565992 
57   3000   0.000024  197079.308280  0.222545  4.525403 ==> 0.606293 
57   3200   0.000017  314607.119624  0.228879  4.525403 ==> 0.648737 
57   3400   0.000012  496561.151458  0.235557  4.525403 ==> 0.693476 
57   3600   0.000008  775544.538535  0.242610  4.525403 ==> 0.740668 
57   3800   0.000006  1199452.368391  0.250068  4.525403 ==> 0.790471 
57   4000   0.000004  1838144.205312  0.257957  4.525403 ==> 0.843052 
57   4200   0.000003  2792834.607929  0.266301  4.525403 ==> 0.898577 
57   4400   0.000002  4209238.554304  0.275123  4.525403 ==> 0.957220 
57   4600   0.000002  6295880.293750  0.284445  4.525403 ==> 1.019156 
57   4800   0.000001  9349471.204173  0.294288  4.525403 ==> 1.084567 
57   5000   0.000001  13789924.750619  0.304670  4.525403 ==> 1.153636 
59   0   0.000806  13.599153  1.966677  5.349804 ==> 0.079576 
59   200   0.003360  34.402414  1.956639  5.349804 ==> 0.257709 
59   400   0.009944  82.272661  1.910992  5.349804 ==> 0.677531 
59   600   0.005474  184.026422  1.872316  5.349804 ==> 0.744154 
59   800   0.003093  389.365103  1.841216  5.349804 ==> 0.806822 
59   1000   0.001800  786.937776  1.816228  5.349804 ==> 0.869243 
59   1200   0.001078  1530.706837  1.796109  5.349804 ==> 0.932685 
59   1400   0.000661  2882.082738  1.779958  5.349804 ==> 0.997729 
59   1600   0.000414  5276.222099  1.767131  5.349804 ==> 1.064709 
59   1800   0.000264  9424.942242  1.757165  5.349804 ==> 1.133861 
59   2000   0.000172  16474.535260  1.749716  5.349804 ==> 1.205375 
59   2200   0.000113  28245.090350  1.744530  5.349804 ==> 1.279418 
59   2400   0.000076  47589.740554  1.741416  5.349804 ==> 1.356152 
59   2600   0.000051  78928.885533  1.740224  5.349804 ==> 1.435733 
59   2800   0.000035  129037.735391  1.740842  5.349804 ==> 1.518318 
59   3000   0.000024  208197.947360  1.743182  5.349804 ==> 1.604066 
59   3200   0.000017  331869.022206  1.747175  5.349804 ==> 1.693140 
59   3400   0.000012  523096.963697  1.752768  5.349804 ==> 1.785709 
59   3600   0.000008  815962.459224  1.759919  5.349804 ==> 1.881944 
59   3800   0.000006  1260486.467860  1.768598  5.349804 ==> 1.982023 
59   4000   0.000004  1929568.154333  1.778780  5.349804 ==> 2.086131 
59   4200   0.000003  2928742.527234  1.790446  5.349804 ==> 2.194458 
59   4400   0.000002  4409831.294605  1.803585  5.349804 ==> 2.307200 
59   4600   0.000002  6589944.457008  1.818187  5.349804 ==> 2.424560 
59   4800   0.000001  9777803.587116  1.834246  5.349804 ==> 2.546747 
59   5000   0.000001  14410041.800347  1.851761  5.349804 ==> 2.673977 
61   0   0.002156  20.877553  2.466936  6.310763 ==> 0.166249 
61   200   0.007812  51.693596  2.389926  6.310763 ==> 0.490124 
61   400   0.009944  119.578713  2.325307  6.310763 ==> 0.829596 
61   600   0.005474  260.163789  2.276177  6.310763 ==> 0.898230 
61   800   0.003093  538.131730  2.237845  6.310763 ==> 0.962795 
61   1000   0.001800  1067.371503  2.207238  6.310763 ==> 1.027534 
61   1200   0.001078  2043.544758  2.182474  6.310763 ==> 1.093748 
61   1400   0.000661  3795.745383  2.162351  6.310763 ==> 1.161968 
61   1600   0.000414  6867.267664  2.146064  6.310763 ==> 1.232470 
61   1800   0.000264  12140.266485  2.133048  6.310763 ==> 1.305440 
61   2000   0.000172  21025.925777  2.122894  6.310763 ==> 1.381025 
61   2200   0.000113  35751.478156  2.115300  6.310763 ==> 1.459361 
61   2400   0.000076  59789.171453  2.110034  6.310763 ==> 1.540581 
61   2600   0.000051  98491.599176  2.106921  6.310763 ==> 1.624818 
61   2800   0.000035  160024.793995  2.105822  6.310763 ==> 1.712210 
61   3000   0.000024  256727.950938  2.106629  6.310763 ==> 1.802898 
61   3200   0.000017  407080.398218  2.109255  6.310763 ==> 1.897029 
61   3400   0.000012  638527.553956  2.113634  6.310763 ==> 1.994757 
61   3600   0.000008  991514.879582  2.119711  6.310763 ==> 2.096241 
61   3800   0.000006  1525211.278989  2.127444  6.310763 ==> 2.201644 
61   4000   0.000004  2325582.931753  2.136798  6.310763 ==> 2.311140 
61   4200   0.000003  3516720.939135  2.147747  6.310763 ==> 2.424905 
61   4400   0.000002  5276652.119687  2.160271  6.310763 ==> 2.543123 
61   4600   0.000002  7859298.981526  2.174355  6.310763 ==> 2.665986 
61   4800   0.000001  11624837.831903  2.189986  6.310763 ==> 2.793691 
61   5000   0.000001  17081479.450660  2.207158  6.310763 ==> 2.926442 
