         E_app     S_app  n_photons  time_length  time_mean   time_min   time_max
0     0.666667  0.112150        124     0.000912   0.006332   0.005850   0.006761
1     0.098039  0.993506        185     0.001553   0.031014   0.030265   0.031818
2     0.093750  1.000000        109     0.000710   0.057345   0.056992   0.057701
3     0.500000  0.153846         60     0.000449   0.075088   0.074870   0.075319
4     0.568627  0.329032        176     0.001103   0.131788   0.131237   0.132340
5     0.720779  0.426593        405     0.002300   0.139421   0.138286   0.140587
6     1.000000  0.032258         69     0.000336   0.177595   0.177404   0.177739
7     0.166667  0.098361         71     0.000516   0.253899   0.253609   0.254124
8     0.661972  0.522059        148     0.000619   0.271139   0.270805   0.271424
9     0.739130  0.365079         72     0.000475   0.346384   0.346137   0.346612
10    0.725490  0.579545         96     0.000409   0.483457   0.483227   0.483636
11    0.475000  0.655738         69     0.000475   0.529026   0.528767   0.529242
12    0.700000  0.116279         99     0.000664   0.702013   0.701687   0.702351
13    0.692308  0.082278        184     0.001396   0.765615   0.764859   0.766255
14    1.000000  0.164179         75     0.000541   0.770677   0.770376   0.770916
15    0.766667  0.410959        170     0.001234   0.862997   0.862458   0.863692
16    0.363636  0.611111         64     0.000520   0.872179   0.871956   0.872476
17    0.454545  0.559322         69     0.000534   0.872820   0.872561   0.873095
18    0.070175  0.982759         67     0.000400   0.992229   0.992030   0.992430
19    0.916667  0.065574        201     0.000953   1.000706   1.000206   1.001158
20    1.000000  0.107143         96     0.000611   1.037604   1.037315   1.037926
21    0.625000  0.125984        147     0.001183   1.077598   1.077086   1.078269
22    0.066667  0.989011        105     0.000746   1.106077   1.105705   1.106450
23    0.086957  0.971831         84     0.000658   1.172879   1.172551   1.173208
24    0.116883  1.000000         87     0.000529   1.204484   1.204235   1.204764
25    0.888889  0.102273        101     0.000664   1.227487   1.227150   1.227814
26    0.515152  0.177419        218     0.001628   1.412933   1.412075   1.413702
27    0.400000  0.092593         63     0.000428   1.432663   1.432444   1.432872
28    0.500000  0.313725        115     0.000660   1.723336   1.723002   1.723662
29    1.000000  0.132075         61     0.000420   1.726689   1.726482   1.726902
30    0.115385  1.000000         61     0.000553   1.749684   1.749402   1.749955
31    0.363636  0.119565        105     0.000735   1.990169   1.989748   1.990483
32    0.098361  0.983871         71     0.000389   2.215134   2.214964   2.215353
33    0.714286  0.608696        105     0.000672   2.317815   2.317443   2.318115
34    0.744186  0.682540         73     0.000490   2.320459   2.320206   2.320696
35    1.000000  0.017241         68     0.000533   2.325220   2.324942   2.325474
36    0.285714  0.109375         73     0.000511   2.417011   2.416697   2.417209
37    0.147541  0.953125         77     0.000539   2.418234   2.417964   2.418503
38    0.272727  0.328358        150     0.000884   2.419659   2.419210   2.420094
39    0.081967  1.000000         70     0.000468   2.562603   2.562363   2.562831
40    0.900000  0.067568        170     0.001145   2.735370   2.734839   2.735984
41    0.071429  0.965517         67     0.000459   2.759616   2.759404   2.759862
42    0.075949  1.000000         94     0.000807   2.760841   2.760428   2.761235
43    0.436364  0.743243         81     0.000431   2.762232   2.761990   2.762421
44    0.857143  0.104478         79     0.000659   2.811233   2.810906   2.811565
45    0.750000  0.076923         59     0.000380   2.995186   2.995006   2.995386
46    0.037736  1.000000         61     0.000398   3.267084   3.266903   3.267300
47    0.333333  0.247706        131     0.001109   3.294902   3.294355   3.295464
48    0.714286  0.061404        124     0.000549   3.384040   3.383718   3.384267
49    0.800000  0.093458        119     0.000644   3.411308   3.410998   3.411642
50    0.954545  0.088000        272     0.001132   3.418373   3.417784   3.418917
51    0.067797  0.983333         69     0.000460   3.479973   3.479774   3.480233
52    0.084746  0.951613         73     0.000553   3.480705   3.480399   3.480952
53    0.625000  0.140351         67     0.000529   3.512188   3.511882   3.512411
54    0.600000  0.063291         92     0.000697   3.514288   3.513936   3.514633
55    0.871795  0.390000        114     0.000815   3.628768   3.628376   3.629191
56    0.625000  0.102564         91     0.000664   3.774794   3.774486   3.775150
57    0.500000  0.054054         87     0.000740   3.939800   3.939449   3.940189
58    0.607843  0.536842        107     0.000586   4.116730   4.116425   4.117011
59    0.082353  0.965909        105     0.000811   4.223932   4.223523   4.224334
60    0.061728  1.000000         94     0.000726   4.318729   4.318409   4.319135
61    0.629630  0.482143         64     0.000388   4.555022   4.554808   4.555196
62    0.750000  0.058824         77     0.000541   5.080081   5.079814   5.080354
63    1.000000  0.037736         60     0.000375   5.081168   5.080965   5.081339
64    0.075949  0.987500         90     0.000569   5.325316   5.325091   5.325660
65    0.603352  0.407745        489     0.002690   5.349529   5.348214   5.350904
66    0.614679  0.367003        338     0.002249   5.451129   5.450039   5.452288
67    0.727273  0.372881         68     0.000462   5.452797   5.452557   5.453019
68    0.576923  0.346667        177     0.001307   5.458197   5.457541   5.458848
69    0.333333  0.057692         61     0.000436   5.471690   5.471490   5.471926
70    0.047619  0.362069         67     0.000503   5.517118   5.516845   5.517347
71    0.287500  0.824742        111     0.000736   5.569310   5.568952   5.569689
72    0.120690  1.000000         67     0.000435   5.584800   5.584577   5.585012
73    0.466667  0.185185         96     0.000792   5.622584   5.622181   5.622973
74    0.084034  1.000000        137     0.000911   5.638439   5.637971   5.638882
75    0.684783  0.494624        208     0.001247   5.706349   5.705709   5.706956
76    0.928571  0.065116        245     0.001535   5.750838   5.750063   5.751598
77    0.916667  0.108597        239     0.000947   5.763170   5.762694   5.763641
78    0.500000  0.525641        178     0.001130   5.771975   5.771345   5.772475
79    0.600000  0.500000         72     0.000618   5.785627   5.785328   5.785946
80    1.000000  0.127273         63     0.000487   5.880934   5.880686   5.881174
81    0.431579  0.575758        190     0.001418   5.908454   5.907718   5.909136
82    0.363636  0.095652        130     0.000845   5.909626   5.909162   5.910007
83    0.415094  0.197761        302     0.001701   5.911769   5.910902   5.912603
84    1.000000  0.042254         83     0.000602   5.964682   5.964409   5.965010
85    0.888889  0.130435         80     0.000544   6.045751   6.045511   6.046055
86    1.000000  0.092308         74     0.000491   6.062101   6.061838   6.062328
87    1.000000  0.047619         75     0.000630   6.075196   6.074861   6.075491
88    0.500000  0.482456        259     0.001564   6.123396   6.122579   6.124143
89    0.700000  0.138889         83     0.000593   6.129446   6.129172   6.129765
90    1.000000  0.026316         92     0.000793   6.131601   6.131209   6.132002
91    0.100000  1.000000         70     0.000518   6.141464   6.141230   6.141748
92    0.044118  1.000000        153     0.000876   6.193296   6.192880   6.193756
93    0.615385  0.156627         94     0.000592   6.405852   6.405560   6.406152
94    0.750000  0.173913         79     0.000490   6.624083   6.623837   6.624327
95    0.428571  0.117978        209     0.001615   6.676184   6.675312   6.676927
96    0.846154  0.149425         98     0.000552   6.678710   6.678446   6.678997
97    1.000000  0.076923         60     0.000400   6.699808   6.699615   6.700015
98    0.660377  0.557895        216     0.001381   6.736294   6.735592   6.736973
99    0.810811  0.587302         73     0.000480   6.781569   6.781320   6.781800
100   0.838235  0.390805        200     0.001331   6.790471   6.789813   6.791144
101   0.807692  0.464286         66     0.000507   6.792953   6.792709   6.793216
102   0.800000  0.508475        134     0.000791   6.794501   6.794136   6.794927
103   0.614458  0.386047        238     0.001152   6.799314   6.798722   6.799874
104   0.088889  0.473684        109     0.000796   6.800739   6.800344   6.801140
105   0.090909  0.639535         99     0.000720   6.801658   6.801276   6.801996
106   0.532258  0.626263        109     0.000530   6.838527   6.838243   6.838773
107   0.434783  0.676471         78     0.000569   6.840097   6.839792   6.840361
108   1.000000  0.081081        125     0.000758   6.880095   6.879748   6.880505
109   0.096154  1.000000         59     0.000363   6.908277   6.908097   6.908461
110   0.079646  0.991228        133     0.001120   7.006841   7.006205   7.007325
111   0.809524  0.150000        161     0.001076   7.057315   7.056761   7.057837
112   0.370370  0.150000        208     0.001491   7.061237   7.060509   7.062000
113   0.807692  0.412698         72     0.000509   7.269118   7.268854   7.269364
114   0.641026  0.438202        101     0.000640   7.382837   7.382515   7.383155
115   0.551724  0.508772         66     0.000464   7.386931   7.386708   7.387172
116   0.092105  1.000000         89     0.000668   7.398832   7.398497   7.399165
117   0.809524  0.070707        322     0.001277   7.458684   7.458060   7.459338
118   0.666667  0.034483        103     0.000855   7.461018   7.460544   7.461399
119   0.857143  0.112903         71     0.000481   7.472077   7.471842   7.472322
120   0.775281  0.577922        180     0.001334   7.493081   7.492393   7.493727
121   0.539216  0.457399        255     0.001761   7.500379   7.499507   7.501268
122   0.742857  0.546875         73     0.000470   7.518858   7.518623   7.519093
123   0.814815  0.490909         64     0.000493   7.589919   7.589698   7.590191
124   0.829268  0.554054         81     0.000527   7.590583   7.590218   7.590745
125   0.833333  0.112150        123     0.000931   7.631618   7.631148   7.632079
126   0.993976  0.715517        250     0.000910   7.643071   7.642670   7.643580
127   0.095745  0.935323        227     0.001249   7.668507   7.667901   7.669151
128   0.668919  0.483660        346     0.002008   7.680510   7.679543   7.681551
129   0.139535  0.704918         70     0.000450   7.682075   7.681812   7.682263
130   0.852941  0.404762         95     0.000555   7.697153   7.696886   7.697442
131   0.684211  0.166667        133     0.000944   7.871880   7.871423   7.872367
132   0.666667  0.095238        138     0.000630   7.873903   7.873595   7.874225
133   0.518519  0.519231         59     0.000353   7.882490   7.882300   7.882652
134   0.640000  0.362319         78     0.000452   7.895105   7.894858   7.895310
135   1.000000  0.093333         85     0.000509   7.929670   7.929427   7.929936
136   0.640000  0.471698         62     0.000433   7.989895   7.989689   7.990123
137   0.600000  0.059524        282     0.001614   8.079034   8.078243   8.079857
138   0.857143  0.061404        136     0.001142   8.081030   8.080474   8.081616
139   0.800000  0.081967        139     0.000860   8.086911   8.086439   8.087299
140   0.923077  0.082278        181     0.001239   8.124546   8.123912   8.125151
141   0.533333  0.500000         71     0.000534   8.207506   8.207242   8.207776
142   0.500000  0.072289         94     0.000595   8.436200   8.435923   8.436518
143   0.700000  0.344828        101     0.000733   8.716115   8.715726   8.716459
144   0.318182  0.423077        175     0.000933   8.719438   8.718996   8.719930
145   0.760000  0.538793        256     0.001278   8.874806   8.874138   8.875416
146   0.916667  0.068571        199     0.001293   8.994375   8.993696   8.994989
147   0.821782  0.505000        221     0.001105   9.027199   9.026515   9.027620
148   0.078125  0.955224         80     0.000660   9.310139   9.309840   9.310500
149   1.000000  0.074468        108     0.000715   9.425281   9.424936   9.425651
150   0.814815  0.066998        442     0.002074   9.585907   9.584769   9.586843
151   0.458333  0.413793         69     0.000523   9.596841   9.596566   9.597090
152   0.534884  0.474265        294     0.001138   9.631550   9.631035   9.632173
153   0.500000  0.054795         85     0.000608   9.678633   9.678329   9.678937
154   0.909091  0.048035        498     0.001997   9.704790   9.703746   9.705742
155   0.063830  1.000000        112     0.000946   9.722536   9.722072   9.723018
156   0.785714  0.082840        193     0.001403  10.226629  10.225943  10.227346
157   1.000000  0.105263         87     0.000548  10.355708  10.355434  10.355982
158   0.666667  0.067416        102     0.000650  10.368414  10.368098  10.368749
159   0.625000  0.093750        292     0.001833  10.382075  10.381093  10.382925
160   0.777778  0.081081        128     0.000898  10.424749  10.424290  10.425188
161   0.700000  0.094340        126     0.001121  10.767721  10.767198  10.768319
162   0.673077  0.523490        322     0.001319  10.812405  10.811755  10.813073
163   0.600000  0.076923        152     0.001145  10.931596  10.931021  10.932166
164   1.000000  0.065728        235     0.001116  10.985276  10.984682  10.985799
165   0.888889  0.124138        163     0.000798  10.988730  10.988374  10.989173
166   0.009091  1.000000        129     0.000907  11.063199  11.062775  11.063682
167   0.804348  0.418182        124     0.000718  11.179223  11.178872  11.179591
168   0.657895  0.460606        190     0.001308  11.395237  11.394621  11.395929
169   0.666667  0.037500         95     0.000737  11.428842  11.428512  11.429249
170   0.814815  0.281250        110     0.000741  11.665352  11.664967  11.665708
171   0.717391  0.516854        100     0.000585  11.667233  11.666951  11.667537
172   0.745283  0.482916        492     0.002780  11.679325  11.677953  11.680733
173   0.789474  0.401408        164     0.001127  11.739730  11.739207  11.740334
174   0.573770  0.642105        111     0.000857  11.832904  11.832478  11.833335
175   0.661290  0.543860        134     0.001123  11.834029  11.833487  11.834609
176   0.702703  0.486842         90     0.000730  12.161664  12.161291  12.162020
177   0.909091  0.126437        102     0.000710  12.340890  12.340511  12.341221
178   0.033333  1.000000         70     0.000567  12.837645  12.837353  12.837920
179   0.750000  0.067797         69     0.000475  12.914612  12.914372  12.914848
180   0.078125  1.000000         73     0.000452  12.917318  12.917087  12.917539
181   0.909091  0.095652        128     0.000716  12.985339  12.984992  12.985708
182   0.673469  0.624204        172     0.000774  12.991973  12.991607  12.992381
183   0.808511  0.484536        111     0.000689  12.992892  12.992512  12.993201
184   0.050847  0.983333         69     0.000472  13.026716  13.026466  13.026938
185   0.055556  1.000000         86     0.000742  13.038266  13.037882  13.038623
186   0.058824  0.980769         62     0.000470  13.045213  13.044984  13.045454
187   0.538462  0.490566         60     0.000428  13.054549  13.054339  13.054768
188   0.472727  0.500000        124     0.000717  13.062097  13.061738  13.062455
189   0.596491  0.441860        146     0.000885  13.090679  13.090221  13.091105
190   0.727273  0.333333         79     0.000651  13.099888  13.099568  13.100220
191   0.225806  0.732283        146     0.001038  13.150015  13.149551  13.150588
192   0.714286  0.058333        132     0.000618  13.190181  13.189872  13.190490
193   0.875000  0.053691        171     0.001104  13.206508  13.205940  13.207044
194   0.158730  0.360000        203     0.001473  13.250608  13.249911  13.251384
195   0.670886  0.467456        190     0.001080  13.602171  13.601650  13.602730
196   0.888889  0.066176        153     0.000874  13.677041  13.676609  13.677483
197   0.500000  0.478873         80     0.000482  13.722742  13.722475  13.722957
198   0.416667  0.063492        216     0.001370  13.767992  13.767364  13.768734
199   0.750000  0.038095        116     0.000584  13.872682  13.872405  13.872989
200   0.941176  0.051672        365     0.001960  13.897077  13.896029  13.897988
201   0.625000  0.080808        115     0.000824  13.999334  13.998889  13.999713
202   0.692308  0.152941         97     0.000613  14.002459  14.002129  14.002742
203   1.000000  0.011765         97     0.000631  14.006424  14.006082  14.006714
204   1.000000  0.065217        159     0.001040  14.013330  14.012823  14.013863
205   1.000000  0.017241         68     0.000478  14.015708  14.015472  14.015950
206   0.909091  0.154930         80     0.000482  14.016400  14.016156  14.016638
207   0.800000  0.180000        277     0.001545  14.087020  14.086301  14.087845
208   0.800000  0.047170        123     0.000924  14.088381  14.087871  14.088796
209   0.086207  0.913386        148     0.001084  14.106692  14.106108  14.107192
210   0.810811  0.393617        110     0.000938  14.152525  14.152027  14.152965
211   0.857143  0.046667        171     0.001087  14.203930  14.203422  14.204509
212   0.698795  0.443850        217     0.001621  14.261679  14.260843  14.262464
213   0.913043  0.338235         79     0.000539  14.264158  14.263905  14.264443
214   0.777778  0.489796        162     0.000747  14.274727  14.274385  14.275132
215   0.681159  0.511111        153     0.000895  14.276754  14.276287  14.277182
216   0.500000  0.539683         71     0.000386  14.407889  14.407658  14.408044
217   0.714286  0.244186         95     0.000493  14.436267  14.436000  14.436494
218   0.131148  0.983871         70     0.000410  14.440516  14.440324  14.440734
219   0.071429  0.988235         94     0.000494  14.460952  14.460704  14.461198
220   1.000000  0.044944        106     0.000900  14.627135  14.626696  14.627597
221   0.851852  0.219512        139     0.000804  14.694366  14.694015  14.694819
222   0.833333  0.096000        139     0.000790  14.717471  14.717083  14.717874
223   0.656250  0.202532        179     0.001068  14.718764  14.718207  14.719275
224   0.078947  0.863636        108     0.000997  14.776286  14.775786  14.776784
225   0.203704  0.739726         84     0.000556  14.858228  14.857954  14.858510
226   0.193182  0.771930        130     0.000820  14.952076  14.951709  14.952529
227   0.135593  1.000000         69     0.000538  14.961239  14.960971  14.961509
228   0.230769  0.317073        140     0.000872  15.443844  15.443384  15.444256
229   0.800000  0.054945        105     0.000707  15.444748  15.444364  15.445071
230   1.000000  0.053571        189     0.001113  15.454477  15.453885  15.454998
231   0.888889  0.060811        170     0.001138  15.569789  15.569237  15.570376
232   1.000000  0.114286         82     0.000717  15.602727  15.602444  15.603160
233   0.333333  0.048387         76     0.000630  15.606718  15.606416  15.607045
234   0.833333  0.111111         62     0.000385  15.615196  15.615026  15.615410
235        NaN  0.000000         89     0.000672  15.631646  15.631349  15.632020
236   0.800000  0.052083        110     0.000711  15.662921  15.662565  15.663276
237   0.641791  0.446667        332     0.001621  15.665466  15.664764  15.666385
238   0.333333  0.047619         73     0.000535  15.666784  15.666497  15.667032
239   0.846154  0.250000         60     0.000410  15.695241  15.695017  15.695428
240   0.692308  0.472727         65     0.000528  15.739553  15.739304  15.739832
241   0.812500  0.482412        218     0.000953  16.134564  16.134114  16.135067
242   0.808383  0.518634        349     0.001330  16.139657  16.138984  16.140314
243   0.803030  0.499055        573     0.002186  16.240070  16.238916  16.241102
244   0.950000  0.084034        259     0.001058  16.283941  16.283421  16.284478
245   0.687500  0.119403        152     0.000907  16.404633  16.404203  16.405111
246   0.562500  0.142857        124     0.000640  16.405888  16.405556  16.406196
247   1.000000  0.064220        128     0.000953  16.746072  16.745600  16.746553
248   0.093333  0.872093         98     0.000634  16.813815  16.813482  16.814116
249   0.068027  1.000000        172     0.001267  16.892688  16.892073  16.893340
250   1.000000  0.109375         74     0.000496  16.924967  16.924720  16.925215
251   0.769231  0.077844        192     0.001304  17.230839  17.230216  17.231520
252   1.000000  0.090909         62     0.000354  17.665662  17.665505  17.665859
253   0.807229  0.488235        190     0.001078  17.837589  17.837037  17.838115
254   0.636364  0.118280        106     0.000686  18.189398  18.189067  18.189753
255   0.619048  0.466667        106     0.000779  18.296013  18.295592  18.296372
256   1.000000  0.021277        110     0.000790  18.314951  18.314588  18.315378
257   0.625000  0.072727        126     0.000763  18.315966  18.315605  18.316369
258   0.666667  0.047619         75     0.000684  18.330487  18.330166  18.330850
259   0.560440  0.494565        201     0.000845  18.395586  18.395171  18.396017
260   0.865169  0.342308        292     0.001710  18.487169  18.486330  18.488039
261   1.000000  0.120690        191     0.000846  18.649645  18.649235  18.650081
262   0.750000  0.053333         86     0.000521  18.744592  18.744353  18.744874
263   0.056338  0.972603         85     0.000614  18.915260  18.914958  18.915572
264   0.625000  0.082474        112     0.000732  19.134016  19.133638  19.134371
265   0.750000  0.070175         66     0.000434  19.134944  19.134717  19.135150
266   0.428571  0.058824        133     0.000736  19.146675  19.146298  19.147035
267   0.600000  0.096154        176     0.001027  19.179825  19.179356  19.180383
268   0.628571  0.555556         72     0.000517  19.191749  19.191518  19.192035
269   1.000000  0.050847         67     0.000457  19.210040  19.209808  19.210264
270   0.666667  0.150000         69     0.000474  19.340516  19.340250  19.340725
271   0.833333  0.093750         74     0.000520  19.350663  19.350393  19.350913
272   0.800000  0.409836         70     0.000431  19.419202  19.418977  19.419408
273   1.000000  0.104478         78     0.000557  19.515827  19.515583  19.516140
274   0.057971  0.638889        127     0.000932  19.804615  19.804178  19.805111
275   0.653846  0.541667        109     0.000661  20.004054  20.003730  20.004391
276   0.538462  0.086667        176     0.001304  20.105410  20.104799  20.106103
277   0.380952  0.304348         78     0.000413  20.166471  20.166246  20.166659
278   0.571429  0.063063        254     0.001610  20.170560  20.169768  20.171378
279   0.722222  0.150000        138     0.001012  20.244951  20.244496  20.245509
280   0.923077  0.126214        118     0.000752  20.248863  20.248507  20.249259
281   0.787879  0.379310        102     0.000785  20.334373  20.333990  20.334775
282   1.000000  0.067568         86     0.000608  20.717673  20.717339  20.717947
283   0.714286  0.120690         68     0.000487  20.718651  20.718418  20.718905
284   0.074074  0.972973        129     0.000943  21.069129  21.068673  21.069616
285   0.842105  0.108571        202     0.001361  21.096055  21.095403  21.096764
286   0.780488  0.493976         95     0.000631  21.100770  21.100445  21.101076
287   0.777778  0.121622         81     0.000425  21.106953  21.106691  21.107115
288   0.520548  0.486667        166     0.000763  21.449754  21.449385  21.450148
289   0.736842  0.333333         68     0.000521  21.456140  21.455865  21.456386
290   0.937500  0.132231        139     0.000950  21.483314  21.482807  21.483757
291   0.222222  0.716814        131     0.000925  21.514546  21.514112  21.515037
292   0.365854  0.512500        179     0.001042  21.576708  21.576158  21.577200
293   0.570000  0.621118        183     0.001020  21.610910  21.610358  21.611378
294   0.110294  0.985507        160     0.001106  21.655938  21.655362  21.656468
295   1.000000  0.037037         92     0.000665  21.792079  21.791689  21.792354
296   1.000000  0.082192         82     0.000461  21.870245  21.870019  21.870479
297   0.655172  0.389262        164     0.000781  21.920076  21.919704  21.920485
298   0.520000  0.316456         89     0.000506  21.921014  21.920747  21.921254
299   0.000000  0.021277        107     0.000675  21.990698  21.990361  21.991035
300   0.516129  0.563636         64     0.000465  22.019594  22.019341  22.019806
301   0.750000  0.065574        134     0.000643  22.124258  22.123969  22.124612
302   0.511628  0.551282         90     0.000608  22.293238  22.292927  22.293536
303   0.909091  0.150685         88     0.000767  22.408434  22.408047  22.408814
304   0.063492  0.984375         73     0.000492  22.469232  22.469027  22.469519
305   0.101695  0.951613         73     0.000545  22.470895  22.470609  22.471154
306   0.092593  1.000000         63     0.000450  22.571064  22.570839  22.571290
307   0.040816  0.942308         61     0.000412  22.577841  22.577612  22.578024
308   0.800000  0.508475         66     0.000358  22.665980  22.665849  22.666207
309   0.685714  0.546875         72     0.000375  22.687916  22.687743  22.688118
310   0.500000  0.451613         72     0.000560  22.690035  22.689752  22.690312
311   0.796296  0.469565        129     0.000750  22.754080  22.753726  22.754476
312   0.650000  0.303030         79     0.000625  22.766604  22.766281  22.766907
313   0.057377  0.976000        147     0.001143  22.786649  22.786115  22.787259
314   0.061224  0.989899        116     0.000965  22.788124  22.787569  22.788534
315   0.157895  1.000000         66     0.000440  22.810934  22.810710  22.811150
316   0.571429  0.056911        143     0.001075  22.901476  22.900987  22.902061
317   0.875000  0.106667         87     0.000608  22.916739  22.916449  22.917058
318   1.000000  0.050000         72     0.000598  22.941453  22.941170  22.941769
319   0.833333  0.098361         72     0.000617  22.942236  22.941936  22.942553
320   0.857143  0.080925        197     0.001147  23.459053  23.458441  23.459588
321   0.750000  0.069364        198     0.001302  23.461050  23.460420  23.461723
322   1.000000  0.070423         83     0.000595  23.462602  23.462289  23.462884
323   0.500000  0.038835        117     0.000728  23.501302  23.500930  23.501658
324   1.000000  0.086957         77     0.000445  23.508519  23.508289  23.508734
325   0.400000  0.054945        105     0.000879  23.630684  23.630256  23.631135
326   0.448276  0.552381        116     0.000578  23.647212  23.646937  23.647516
327   0.769231  0.139785        107     0.000730  23.657956  23.657595  23.658325
328   0.800000  0.263158        196     0.001228  23.681619  23.680986  23.682215
329   0.432432  0.330357        127     0.000745  23.685040  23.684636  23.685382
330   0.615385  0.151163         98     0.000622  23.818073  23.817768  23.818390
331   0.070588  1.000000         96     0.000594  24.010638  24.010292  24.010887
332   0.083969  1.000000        149     0.000933  24.012755  24.012311  24.013245
333   1.000000  0.080645         73     0.000528  24.082900  24.082621  24.083150
334   0.500000  0.067797         69     0.000512  24.213773  24.213491  24.214003
335   0.635135  0.548148        147     0.000638  24.707738  24.707447  24.708085
336   0.600000  0.058140         99     0.000638  25.277573  25.277214  25.277852
337   0.666667  0.087379        119     0.000773  25.649444  25.649095  25.649867
338   0.545455  0.343750         74     0.000472  25.981958  25.981692  25.982164
339   1.000000  0.051724         70     0.000602  25.983981  25.983689  25.984291
340   1.000000  0.056604         62     0.000457  25.985416  25.985169  25.985626
341   0.520000  0.431034         67     0.000486  26.076836  26.076608  26.077095
342   0.046154  0.984848         76     0.000497  26.230840  26.230602  26.231099
343   0.800000  0.094937        179     0.001092  26.277784  26.277223  26.278315
344   0.285714  0.114754         72     0.000552  26.299287  26.299009  26.299562
345   0.113924  1.000000         92     0.000694  26.343192  26.342866  26.343561
346   0.516949  0.504274        262     0.001527  26.677187  26.676483  26.678010
347   0.064103  0.962963         91     0.000555  26.891237  26.890972  26.891527
348   0.781250  0.333333        110     0.000710  26.928730  26.928415  26.929126
349   0.777778  0.441718        182     0.000952  26.929735  26.929251  26.930202
350   1.000000  0.064516        104     0.000568  26.940102  26.939844  26.940412
351   0.746479  0.539924        296     0.001642  27.039722  27.038807  27.040449
352   0.916667  0.115385        121     0.000873  27.110773  27.110341  27.111214
353   0.870968  0.120155        287     0.001474  27.114242  27.113465  27.114939
354   1.000000  0.041096         86     0.000630  27.442783  27.442476  27.443106
355   0.750000  0.413793         99     0.000614  27.465040  27.464740  27.465354
356   0.900000  0.091743        128     0.000970  27.677354  27.676897  27.677867
357   0.449102  0.616236        297     0.001348  27.941589  27.940982  27.942330
358   0.750000  0.072727        122     0.000625  27.945836  27.945539  27.946164
359   1.000000  0.125000         66     0.000500  27.947243  27.946983  27.947483
360   0.500000  0.100000         70     0.000486  27.948487  27.948220  27.948706
361   0.625000  0.452830         63     0.000506  28.030727  28.030443  28.030949
362   0.076923  0.981132         63     0.000522  28.097372  28.097103  28.097624
363   0.039216  0.980769         60     0.000444  28.139281  28.139061  28.139504
364   0.888889  0.052632        186     0.000860  28.237187  28.236803  28.237663
365   0.089744  0.987342         91     0.000601  28.332584  28.332284  28.332885
366   0.200000  0.071429         82     0.000678  28.338095  28.337799  28.338477
367   0.716418  0.435065        177     0.001181  28.343960  28.343366  28.344547
368   0.923077  0.156627         94     0.000549  28.482554  28.482271  28.482820
369   1.000000  0.037594        149     0.000850  28.541606  28.541165  28.542014
370   0.750000  0.203390         67     0.000424  28.547675  28.547463  28.547888
371   0.944444  0.104046        193     0.001089  28.585986  28.585486  28.586575
372   0.820513  0.230769        194     0.001329  28.600101  28.599400  28.600729
373   0.640523  0.413514        410     0.002283  28.608178  28.607055  28.609338
374   0.833333  0.096774         73     0.000605  28.661294  28.660976  28.661581
375   1.000000  0.055556         64     0.000519  28.662536  28.662259  28.662779
376   0.850575  0.465241        216     0.001578  28.708181  28.707323  28.708902
377   0.586420  0.593407        304     0.001650  28.718044  28.717241  28.718891
378   0.395833  0.857143        324     0.002329  28.725444  28.724400  28.726730
379   0.714286  0.120690         68     0.000492  28.732070  28.731831  28.732324
380   0.039474  0.575758        150     0.001217  28.765929  28.765379  28.766596
381   0.900000  0.084746        133     0.000836  28.860835  28.860425  28.861262
382   0.074074  0.931034         70     0.000590  28.910942  28.910638  28.911227
383   0.276923  0.288889        261     0.001846  28.913515  28.912523  28.914369
384   0.500000  0.148148         63     0.000451  28.914990  28.914755  28.915206
385   0.666667  0.090361        185     0.000972  28.996618  28.996111  28.997083
386   0.250000  0.061538         77     0.000592  29.004869  29.004585  29.005177
387   1.000000  0.012048         96     0.000685  29.031088  29.030737  29.031422
388   0.793103  0.162921        196     0.000874  29.033228  29.032804  29.033677
389   0.869565  0.105991        235     0.000929  29.040864  29.040394  29.041323
390   0.065574  1.000000         71     0.000485  29.195178  29.194937  29.195422
391   0.090909  0.985075         77     0.000526  29.235122  29.234855  29.235380
392   0.666667  0.107143         65     0.000454  29.252181  29.251990  29.252444
393   0.666667  0.153846         89     0.000576  29.258461  29.258148  29.258724
394   0.657143  0.522388         78     0.000605  29.259695  29.259374  29.259979
395   0.625000  0.410256         88     0.000506  29.262145  29.261892  29.262398
396   0.821429  0.098246        322     0.002020  29.348481  29.347475  29.349495
397   0.550000  0.129032        172     0.000867  29.350471  29.350023  29.350889
398   0.750000  0.047059         98     0.000657  29.417051  29.416730  29.417387
399   1.000000  0.098765         92     0.000633  29.567699  29.567353  29.567986
400   1.000000  0.109290        207     0.001185  29.842326  29.841704  29.842888
401   0.500000  0.024691         93     0.000657  29.875123  29.874806  29.875463
402   0.780000  0.595238         98     0.000707  29.973854  29.973474  29.974180
403   1.000000  0.015625         73     0.000552  30.053061  30.052778  30.053330
404   1.000000  0.076923         60     0.000454  30.055550  30.055348  30.055803
405   0.714286  0.086957        182     0.001064  30.057112  30.056548  30.057612
406   0.777778  0.107143         95     0.000572  30.058501  30.058217  30.058789
407   0.716981  0.395522        151     0.000835  30.136226  30.135798  30.136633
408   0.790323  0.601942        116     0.000717  30.208319  30.207964  30.208682
409   0.801370  0.506944        321     0.001761  30.210017  30.209159  30.210920
410   0.833333  0.276923        154     0.001224  30.214901  30.214242  30.215466
411   0.111111  0.339623         60     0.000398  30.271328  30.271136  30.271534
412   0.060976  1.000000         97     0.000790  30.431839  30.431462  30.432252
413   0.133333  1.000000         67     0.000381  30.557301  30.557090  30.557471
414   0.131579  0.678571         65     0.000475  30.564981  30.564746  30.565221
415   0.073446  0.876238        231     0.001511  30.567092  30.566392  30.567902
416   0.896552  0.333333         98     0.000531  30.758087  30.757836  30.758367
417   0.800000  0.089286         65     0.000457  30.887785  30.887564  30.888020
418   0.406250  0.444444         84     0.000629  30.999946  30.999633  31.000262
419   0.750000  0.035398        125     0.000652  31.107283  31.106974  31.107626
420   1.000000  0.025641         87     0.000463  31.110023  31.109763  31.110225
421   1.000000  0.065502        252     0.001183  31.111448  31.110841  31.112023
422   0.625000  0.363636         79     0.000593  31.153552  31.153248  31.153840
423   0.393939  0.352941        207     0.001033  31.350659  31.350100  31.351133
424        NaN  0.000000         67     0.000529  31.421432  31.421145  31.421674
425   1.000000  0.098901        102     0.000573  31.483025  31.482741  31.483314
426   0.833333  0.100000         70     0.000470  31.492898  31.492655  31.493125
427   1.000000  0.121951         91     0.000447  31.494304  31.494085  31.494533
428   0.277778  0.346154         61     0.000473  31.533666  31.533435  31.533908
429   0.741935  0.534483         66     0.000402  31.547184  31.546965  31.547367
430   0.048387  1.000000         71     0.000475  31.644698  31.644422  31.644897
431   0.756098  0.482353         97     0.000575  31.724484  31.724185  31.724760
432   0.600000  0.144928         84     0.000740  31.736273  31.735893  31.736633
433   0.095238  0.355932         68     0.000439  31.737139  31.736922  31.737361
434   0.611111  0.193548        104     0.000579  31.738919  31.738629  31.739209
435   0.062500  0.800000         68     0.000388  31.821560  31.821348  31.821736
436   0.250000  0.070175         66     0.000462  31.822776  31.822527  31.822989
437   0.696629  0.438424        221     0.000952  31.936373  31.935857  31.936808
438   0.735849  0.473214        125     0.000663  31.939888  31.939542  31.940204
439   0.823529  0.269841         74     0.000554  32.749190  32.748891  32.749445
440   0.052632  1.000000        108     0.000671  32.795598  32.795256  32.795927
441   0.060870  0.991379        134     0.000978  32.801041  32.800606  32.801584
442   0.134831  0.988889        104     0.000716  33.179163  33.178791  33.179506
443   0.083333  0.986301         87     0.000727  33.193665  33.193287  33.194015
444   0.090909  0.948276         66     0.000407  33.195047  33.194875  33.195282
445   0.803279  0.592233        116     0.000678  33.306212  33.305879  33.306557
446   0.705882  0.064151        310     0.002329  33.393466  33.392217  33.394546
447   0.536585  0.174468        259     0.001168  33.607895  33.607273  33.608441
448   0.776978  0.385042        395     0.001799  33.827473  33.826510  33.828309
449   0.803279  0.469231        422     0.001654  33.836522  33.835717  33.837371
450   0.438356  0.744898        113     0.000749  33.839965  33.839586  33.840335
451   0.666667  0.640000         85     0.000506  33.847778  33.847526  33.848032
452   0.777778  0.473684        106     0.000581  33.887764  33.887466  33.888047
453   0.191176  0.781609         96     0.000499  33.890818  33.890572  33.891070
454   0.114754  0.983871         73     0.000628  33.915704  33.915422  33.916051
455   0.818182  0.096774        394     0.002871  33.934830  33.933449  33.936320
456   0.577778  0.548780         93     0.000549  34.005166  34.004883  34.005432
457   0.083333  0.989691        109     0.000649  34.095727  34.095420  34.096069
458   0.089744  1.000000         89     0.000582  34.096496  34.096187  34.096768
459   0.765957  0.443396        118     0.000699  34.261131  34.260804  34.261503
460   0.071429  0.202899         79     0.000504  34.418651  34.418432  34.418936
461   0.333333  0.076923         92     0.000762  34.450337  34.449945  34.450707
462   0.833333  0.101124        200     0.001201  34.658871  34.658269  34.659469
463   1.000000  0.097222         82     0.000536  34.741625  34.741374  34.741910
464   0.880000  0.362319         78     0.000452  34.751595  34.751356  34.751808
465   0.526316  0.575758        146     0.000767  34.756416  34.756018  34.756785
466   0.487342  0.528428        341     0.002252  34.880218  34.879149  34.881401
467   0.541667  0.448133        521     0.001979  34.890878  34.889975  34.891954
468   0.380952  0.403846         61     0.000468  34.894944  34.894706  34.895174
469   0.038462  0.838710        110     0.000873  34.897563  34.897130  34.898002
470   0.347826  0.172932        159     0.001288  34.898888  34.898201  34.899489
471   0.611111  0.084906        235     0.001217  35.027179  35.026557  35.027774
472   0.106796  0.980952        117     0.000651  35.058840  35.058537  35.059189
473   0.476190  0.549020        173     0.001002  35.075538  35.075020  35.076022
474   0.730769  0.218487        139     0.001053  35.200186  35.199650  35.200703
475   0.112676  0.986111         83     0.000570  35.371689  35.371406  35.371975
476   0.040000  1.000000         87     0.000625  35.379740  35.379418  35.380042
477   0.018868  0.670886         91     0.000670  35.471908  35.471566  35.472236
478   0.111111  0.984375        145     0.000895  35.488911  35.488498  35.489393
479   0.661017  0.280952        234     0.001239  35.561014  35.560354  35.561594
480   0.291667  0.169014        165     0.001168  35.566235  35.565636  35.566804
481   0.631579  0.206522        205     0.001097  35.787901  35.787344  35.788441
482   0.619048  0.136364        170     0.000809  35.814586  35.814202  35.815011
483   0.094828  0.983051        129     0.000531  35.955696  35.955440  35.955971
484   0.046296  0.981818        128     0.000940  36.019493  36.019008  36.019948
485   0.146667  0.974026         91     0.000700  36.292267  36.291917  36.292617
486   0.611940  0.598214        124     0.000612  36.487003  36.486695  36.487307
487   0.088235  1.000000        155     0.001032  36.528648  36.528149  36.529181
488   0.411765  0.537975        177     0.001004  36.698303  36.697838  36.698841
489   0.094340  1.000000         61     0.000377  36.789789  36.789592  36.789969
490   0.750000  0.357143         65     0.000458  37.192481  37.192264  37.192721
491   0.870690  0.496788        523     0.002822  37.412757  37.411457  37.414279
492   0.635514  0.519417        223     0.000912  37.518800  37.518345  37.519258
493   0.636364  0.523810        116     0.000622  37.519875  37.519552  37.520174
494   0.780000  0.390625        145     0.000859  37.541877  37.541475  37.542335
495   0.695652  0.209091        127     0.000892  37.581486  37.581003  37.581895
496   0.666667  0.037815        266     0.001599  37.618307  37.617387  37.618986
497   1.000000  0.074074         90     0.000494  37.622541  37.622278  37.622772
498   0.222222  0.107143         92     0.000430  37.625550  37.625285  37.625715
499   0.142857  0.372340        109     0.000646  37.683210  37.682877  37.683522
500   0.333333  0.223404        107     0.000659  37.777379  37.777019  37.777678
501   0.681159  0.381215        200     0.001042  37.790357  37.789876  37.790919
502   0.607143  0.494700        306     0.001184  37.801768  37.801221  37.802405
503   0.333333  0.401163        190     0.000968  37.827863  37.827435  37.828403
504   0.875000  0.121212         76     0.000544  37.913799  37.913517  37.914060
505   0.592593  0.509434        115     0.000555  38.012333  38.012060  38.012615
506   0.607143  0.528302         62     0.000454  38.282241  38.282023  38.282477
507   0.547619  0.538462         89     0.000482  38.338039  38.337773  38.338256
508   0.347826  0.579832        133     0.000706  38.361287  38.360912  38.361618
509   0.411765  0.531250         72     0.000413  38.449863  38.449632  38.450044
510   0.750000  0.055172        164     0.000941  38.450796  38.450318  38.451259
511   0.568627  0.504950        222     0.001001  38.471360  38.470870  38.471871
512   1.000000  0.037313        154     0.001027  38.503451  38.502847  38.503874
513   1.000000  0.050847         69     0.000529  38.695455  38.695196  38.695725
514   0.807692  0.376812         78     0.000463  38.760472  38.760253  38.760715
515   0.058824  0.894737        133     0.000916  38.795709  38.795224  38.796140
516   1.000000  0.023529         98     0.000673  38.861902  38.861529  38.862202
517   0.747253  0.583333        172     0.000856  38.925358  38.924979  38.925835
518   0.454545  0.050459        246     0.001471  38.932116  38.931357  38.932828
519   0.625000  0.041026        219     0.001332  38.934452  38.933799  38.935130
520        NaN  0.000000         64     0.000541  38.935836  38.935570  38.936112
521   1.000000  0.056604         62     0.000446  38.943199  38.942951  38.943398
522   0.750000  0.057971         78     0.000442  38.956054  38.955820  38.956262
523   0.031579  0.989583        108     0.000775  39.112922  39.112475  39.113251
524   0.475862  0.690476        230     0.001010  39.115184  39.114786  39.115796
525   1.000000  0.042857        233     0.001254  39.131064  39.130482  39.131736
526   0.625000  0.597015         75     0.000516  39.135144  39.134949  39.135464
527   0.615385  0.426230         71     0.000488  39.135770  39.135529  39.136017
528   0.863636  0.239130        108     0.000813  39.153240  39.152788  39.153601
529   0.666667  0.115385         96     0.000861  39.156535  39.156097  39.156958
530   0.666667  0.556701        108     0.000536  39.398940  39.398695  39.399231
531   1.000000  0.042328        211     0.001115  39.476359  39.475779  39.476894
532   0.677419  0.436620         83     0.000623  39.622224  39.621895  39.622519
533   0.795699  0.522472        398     0.002091  39.624205  39.623173  39.625264
534   0.611111  0.435484        141     0.000888  39.626867  39.626408  39.627296
535   0.857143  0.067633        240     0.001685  39.651387  39.650591  39.652276
536   0.522727  0.143322        334     0.001349  39.763199  39.762545  39.763894
537   0.800000  0.555556        188     0.000934  39.781527  39.781084  39.782018
538   0.746032  0.504000        142     0.000903  39.790676  39.790241  39.791145
539   0.786408  0.515000        214     0.000733  39.821670  39.821272  39.822006
540   0.766234  0.484277        177     0.000923  39.824709  39.824248  39.825171
541   0.741935  0.387500         89     0.000390  39.929163  39.928964  39.929354
542   0.913043  0.075410        344     0.002014  39.943514  39.942408  39.944422
543   0.500000  0.086022        105     0.000677  39.945501  39.945202  39.945879
544   0.857143  0.625000         65     0.000420  40.074448  40.074240  40.074660
545   0.750000  0.493151         81     0.000428  40.139253  40.139039  40.139467
546   1.000000  0.315789         66     0.000435  40.143654  40.143456  40.143891
547   0.800000  0.120000        142     0.000960  40.168555  40.168041  40.169002
548   0.727273  0.088710        140     0.000791  40.285551  40.285172  40.285963
549   0.660000  0.197628        281     0.001508  40.287206  40.286388  40.287896
550   1.000000  0.135135        127     0.000790  40.304592  40.304209  40.304999
551   0.056338  0.986111        161     0.000915  40.321050  40.320621  40.321535
552   0.113821  1.000000        138     0.000830  40.357342  40.356935  40.357765
553   0.710526  0.500000         89     0.000686  40.412653  40.412316  40.413001
554   0.840000  0.320513         94     0.000847  40.415352  40.414934  40.415781
555   0.833333  0.187500        111     0.000828  40.418960  40.418597  40.419425
556   0.115789  0.979381        108     0.000590  40.464871  40.464559  40.465149
557   0.750000  0.050000         95     0.000777  40.480511  40.480090  40.480866
558   1.000000  0.078125         74     0.000468  40.482859  40.482605  40.483072
559   1.000000  0.049180         70     0.000472  40.485534  40.485254  40.485726
560   0.082645  1.000000        138     0.000920  40.528345  40.527931  40.528852
561   0.079365  1.000000         72     0.000479  40.559935  40.559700  40.560179
562   0.463415  0.625954        148     0.000885  40.563388  40.562978  40.563863
563   0.325758  0.713514        214     0.001483  40.564829  40.564076  40.565559
564   0.466667  0.529412         98     0.000669  40.569297  40.568954  40.569623
565   0.575000  0.547945         82     0.000483  40.590544  40.590309  40.590792
566   0.069444  0.960000         90     0.000768  40.650891  40.650492  40.651261
567   0.076271  1.000000        133     0.000789  40.822991  40.822584  40.823374
568   0.119266  0.964602        130     0.000790  40.940023  40.939609  40.940400
569   0.098039  0.980769         61     0.000511  40.980258  40.980034  40.980545
570   0.244898  0.628205         90     0.000636  40.981020  40.980700  40.981336
571   0.040984  0.960630        145     0.000922  40.998878  40.998419  40.999341
572   1.000000  0.073529         78     0.000534  41.131193  41.130932  41.131466
573   0.863636  0.088710        278     0.001660  41.134412  41.133540  41.135199
574   0.774194  0.173184        197     0.000953  41.136051  41.135580  41.136533
575   0.800000  0.189873         92     0.000667  41.350949  41.350626  41.351294
576   0.923077  0.077381        187     0.001032  41.424258  41.423775  41.424808
577   1.000000  0.057971         77     0.000427  41.440782  41.440566  41.440992
578   0.820513  0.464286        101     0.000893  41.451161  41.450733  41.451626
579   0.104651  1.000000         98     0.000626  41.528050  41.527758  41.528384
580   0.054545  0.964912        140     0.001300  41.579805  41.579151  41.580451
581   0.666667  0.046875         71     0.000352  41.623673  41.623473  41.623825
582   0.125000  1.000000         85     0.000671  41.791136  41.790792  41.791463
583   0.071429  1.000000         64     0.000403  41.801346  41.801125  41.801528
584   0.916667  0.057971        228     0.001063  41.988021  41.987426  41.988490
585   0.500000  0.065934        102     0.000568  42.292178  42.291886  42.292454
586   1.000000  0.030769         76     0.000567  42.294896  42.294620  42.295187
587   0.600000  0.357143        133     0.001077  42.424793  42.424264  42.425341
588   0.468750  0.516129        144     0.000997  42.601342  42.600867  42.601864
589   0.115942  0.690000        117     0.000857  42.603008  42.602582  42.603439
590   0.102564  0.975000        186     0.001373  42.788970  42.788344  42.789717
591   0.500000  0.113208         62     0.000435  42.809305  42.809084  42.809519
592   0.714286  0.069307        116     0.000766  42.813481  42.813101  42.813867
593   0.653846  0.230088        127     0.000693  43.024146  43.023799  43.024491
594   0.625000  0.131148         67     0.000392  43.165481  43.165301  43.165693
595   0.842105  0.074803        284     0.001527  43.245314  43.244559  43.246086
596   0.888889  0.084906        118     0.000615  43.263885  43.263585  43.264200
597   0.235294  0.293103         68     0.000438  43.390829  43.390596  43.391034
598   0.666667  0.056604         64     0.000549  43.827106  43.826813  43.827362
599   0.559140  0.505435        206     0.001200  43.845850  43.845302  43.846502
600   0.375000  0.542373         69     0.000550  43.846812  43.846525  43.847075
601   0.444444  0.078261        132     0.000940  43.982838  43.982412  43.983352
602   0.058333  1.000000        138     0.000884  44.046383  44.045971  44.046855
603   0.075758  1.000000         76     0.000531  44.080165  44.079890  44.080421
604   0.418919  0.698113        123     0.000956  44.214505  44.214017  44.214973
605   0.716981  0.504762        120     0.000788  44.228115  44.227673  44.228461
606   0.067568  0.961039         87     0.000519  44.232789  44.232522  44.233041
607   0.224719  0.563291        177     0.001009  44.237626  44.237069  44.238077
608   0.600000  0.071429         83     0.000638  44.292078  44.291751  44.292389
609   0.863636  0.095238        248     0.000833  44.293162  44.292674  44.293507
610   0.575342  0.550943        286     0.001114  44.308661  44.308080  44.309194
611   0.636364  0.488889        103     0.000675  44.310296  44.309990  44.310665
612   0.236842  0.395833        109     0.000717  44.324774  44.324422  44.325139
613   0.750000  0.075472         60     0.000369  44.342760  44.342591  44.342960
614   0.583333  0.105263        133     0.000981  44.344164  44.343656  44.344637
615   0.250000  0.060606         77     0.000575  44.346911  44.346627  44.347202
616   0.516129  0.430556         84     0.000610  44.638628  44.638344  44.638954
617   0.596491  0.304813        211     0.001230  44.639737  44.639090  44.640320
618   0.677419  0.424658         83     0.000487  44.690113  44.689889  44.690376
619   0.605634  0.500000        153     0.000622  44.691440  44.691165  44.691786
620   0.714286  0.064220        127     0.000895  44.693774  44.693294  44.694189
621   0.857143  0.080460         97     0.000533  44.699834  44.699541  44.700073
622   1.000000  0.090909        112     0.000649  44.702052  44.701726  44.702376
623   1.000000  0.037383        122     0.000773  44.956270  44.955911  44.956685
624   0.616000  0.548246        260     0.001718  44.988316  44.987423  44.989141
625   0.571429  0.538462         61     0.000480  44.990272  44.990031  44.990511
626   0.513158  0.445748        373     0.001637  45.005759  45.004950  45.006587
627   0.863636  0.385965         66     0.000458  45.043394  45.043128  45.043586
628   0.074074  1.000000         61     0.000396  45.044533  45.044336  45.044732
629   0.051948  1.000000         91     0.000687  45.046851  45.046527  45.047214
630   0.750000  0.576577        129     0.000882  45.214087  45.213688  45.214571
631   0.867647  0.478873        154     0.000675  45.235305  45.234978  45.235653
632   0.888889  0.385714         79     0.000447  45.384864  45.384651  45.385098
633   0.742424  0.445946        315     0.000973  45.505867  45.505380  45.506353
634   1.000000  0.042553        108     0.000725  45.548602  45.548257  45.548982
635   0.833333  0.100000         70     0.000531  46.027149  46.026901  46.027432
636   0.090909  0.956522        103     0.000565  46.513502  46.513231  46.513797
637   0.375000  0.307692         61     0.000512  46.563323  46.563073  46.563585
638   0.833333  0.061224        112     0.000765  46.614524  46.614154  46.614919
639   0.500000  0.101449        162     0.001229  46.761230  46.760644  46.761873
640   0.074468  0.989474        105     0.000540  46.798561  46.798307  46.798847
641   0.840000  0.378788         76     0.000503  46.831751  46.831489  46.831993
642   0.617647  0.400000        190     0.001096  46.876616  46.876084  46.877180
643   0.797203  0.507092        314     0.001741  46.908534  46.907730  46.909471
644   0.785714  0.509091         66     0.000557  46.947764  46.947460  46.948017
645   0.590909  0.556962         90     0.000583  47.037027  47.036702  47.037285
646   0.120879  1.000000        104     0.000659  47.076080  47.075792  47.076450
647   0.634146  0.405941        120     0.000966  47.085297  47.084807  47.085773
648   0.151515  0.929577         84     0.000721  47.086303  47.085900  47.086621
649   0.060000  0.961538         61     0.000490  47.425192  47.424929  47.425419
650   0.583333  0.184615        149     0.000984  47.459881  47.459411  47.460395
651   0.875000  0.073394        121     0.000620  47.482939  47.482662  47.483283
652   0.101449  0.971831         82     0.000581  47.565545  47.565276  47.565857
653   0.857143  0.127273         67     0.000621  47.592053  47.591742  47.592364
654   0.848485  0.114187        309     0.001018  47.595709  47.595158  47.596176
655   0.625000  0.125000         74     0.000500  47.629108  47.628842  47.629342
656   0.714286  0.049296        166     0.001224  47.637861  47.637237  47.638461
657   0.739130  0.127072        205     0.001342  47.675232  47.674579  47.675922
658   0.645833  0.631579         86     0.000534  47.753463  47.753188  47.753723
659   0.767857  0.549020        120     0.000932  47.778236  47.777773  47.778705
660   0.700000  0.124224        176     0.000785  47.802769  47.802351  47.803135
661   0.793103  0.467742         68     0.000342  47.818191  47.818053  47.818394
662   0.853659  0.330645        140     0.000842  47.819480  47.819031  47.819873
663   0.659091  0.520710        195     0.001272  47.830456  47.829736  47.831008
664   0.648649  0.521127         81     0.000434  47.834952  47.834742  47.835176
665   0.562092  0.334792        523     0.003393  47.970638  47.968999  47.972392
666   0.821429  0.271845        117     0.000717  47.973845  47.973490  47.974207
667   0.320755  0.883333         68     0.000437  47.996483  47.996263  47.996700
668   1.000000  0.077586        129     0.000701  48.262899  48.262562  48.263263
669   1.000000  0.120690         67     0.000502  48.264642  48.264360  48.264862
670   0.500000  0.065217        103     0.000545  48.297204  48.296958  48.297503
671   0.028571  0.958904         80     0.000378  48.328850  48.328640  48.329018
672   0.666667  0.056604         61     0.000428  48.468519  48.468305  48.468732
673   1.000000  0.074627         80     0.000655  48.473707  48.473378  48.474033
674   0.666667  0.111111         63     0.000467  48.600357  48.600142  48.600610
675   0.568182  0.505747        102     0.000760  48.684023  48.683644  48.684404
676   0.086957  1.000000         79     0.000589  48.805620  48.805288  48.805878
677   0.115108  0.615044        251     0.001312  48.942173  48.941571  48.942883
678   0.040541  0.973684         87     0.000574  49.181636  49.181359  49.181933
679   0.500000  0.571429         73     0.000520  49.310820  49.310544  49.311064
680   0.421053  0.457831         93     0.000553  49.314920  49.314608  49.315161
681   1.000000  0.016129         73     0.000576  49.471927  49.471661  49.472237
682   0.888889  0.098901        108     0.000870  49.473460  49.472980  49.473850
683   0.580645  0.400000        173     0.000878  49.670352  49.669885  49.670764
684   0.655738  0.467433        824     0.002164  49.979195  49.978075  49.980239
685   0.560976  0.418367        114     0.000784  49.980951  49.980565  49.981349
686   0.800000  0.083333         71     0.000545  49.983793  49.983514  49.984059
687   0.625000  0.461538         60     0.000428  49.994361  49.994110  49.994538
688   0.812500  0.094118        191     0.001266  50.028911  50.028289  50.029554
689   0.880000  0.076687        358     0.001672  50.030777  50.029947  50.031618
690   0.833333  0.075000         94     0.000685  50.032654  50.032275  50.032961
691   0.666667  0.445946         85     0.000658  50.075826  50.075518  50.076176
692   0.122449  0.975124        232     0.001637  50.139204  50.138403  50.140040
693   0.490000  0.446429        248     0.001249  50.183774  50.183183  50.184432
694   0.093750  0.901408         80     0.000487  50.204427  50.204177  50.204664
695   0.607843  0.653846         92     0.000693  50.262486  50.262142  50.262835
696   0.381818  0.470085        132     0.000838  50.268685  50.268243  50.269081
697   0.630952  0.466667        200     0.000931  50.422358  50.421974  50.422905
698   0.098592  0.946667         88     0.000700  50.618915  50.618584  50.619284
699   0.113208  1.000000         65     0.000619  50.621046  50.620766  50.621385
700   0.692308  0.068063        227     0.001848  50.721697  50.720733  50.722580
701   0.500000  0.054054         84     0.000576  50.866741  50.866401  50.866977
702   0.909091  0.057895        213     0.001260  50.910780  50.910073  50.911332
703   1.000000  0.035971        155     0.000813  50.980102  50.979655  50.980469
704   0.070312  0.984615        143     0.000777  51.245978  51.245570  51.246347
705   0.115385  1.000000         60     0.000423  51.290539  51.290285  51.290707
706   0.750000  0.506329         88     0.000475  51.332186  51.331957  51.332431
707   0.145455  0.982143         63     0.000349  51.334141  51.333973  51.334323
708   0.109375  0.969697         75     0.000488  51.350637  51.350393  51.350881
709   1.000000  0.054348        105     0.000676  51.421038  51.420699  51.421374
710   0.050000  0.967742         70     0.000419  51.473090  51.472910  51.473329
711   0.083333  0.631579         91     0.000745  51.537423  51.537048  51.537793
712   0.857143  0.118644         69     0.000497  51.614344  51.614098  51.614596
713   0.400000  0.172414        136     0.001034  51.654915  51.654385  51.655419
714   0.781609  0.441624        220     0.001198  51.667750  51.667182  51.668379
715   0.640000  0.409836         66     0.000318  51.676914  51.676708  51.677025
716   0.772727  0.423077         61     0.000461  51.754279  51.754061  51.754521
717   0.214286  0.417910         74     0.000392  51.788627  51.788433  51.788825
718   0.545455  0.099099        245     0.001166  51.821728  51.821154  51.822320
719   0.730612  0.425347        621     0.002319  51.988308  51.987105  51.989424
720   0.705882  0.283333         70     0.000510  52.014196  52.013969  52.014479
721   1.000000  0.012821         90     0.000584  52.086273  52.085999  52.086584
722   1.000000  0.054217        186     0.001031  52.087306  52.086795  52.087826
723   0.611111  0.514286         81     0.000561  52.120506  52.120227  52.120789
724   0.636364  0.068323        177     0.000836  52.374766  52.374382  52.375218
725   0.600000  0.038462        145     0.000785  52.407213  52.406798  52.407583
726   0.468750  0.571429         64     0.000400  52.533594  52.533345  52.533745
727   0.977273  0.463158        109     0.000677  52.543579  52.543237  52.543914
728   0.885714  0.472973         85     0.000589  52.559935  52.559636  52.560225
729   1.000000  0.615385         60     0.000408  52.562857  52.562643  52.563051
730   0.555556  0.061224        168     0.001059  52.565637  52.565124  52.566183
731   1.000000  0.439560        102     0.000573  52.578478  52.578213  52.578786
732   0.032258  0.984127         75     0.000609  52.807054  52.806739  52.807348
733   0.108696  1.000000        110     0.001003  53.391305  53.390801  53.391804
734   0.551724  0.500000         68     0.000484  53.409839  53.409582  53.410067
735   0.514706  0.511278        153     0.001057  53.411566  53.411038  53.412096
736   0.666667  0.037037         93     0.000607  53.480776  53.480460  53.481067
737   0.818182  0.075342        167     0.001075  53.489918  53.489409  53.490484
738   0.062500  0.984615         72     0.000322  53.700268  53.700141  53.700462
739   0.787879  0.532258         68     0.000330  53.780967  53.780801  53.781131
740   0.846154  0.433333         69     0.000505  53.782041  53.781816  53.782321
741   0.633333  0.476190         71     0.000412  53.802666  53.802467  53.802879
742   0.666667  0.051724         67     0.000454  54.091090  54.090872  54.091326
743   0.700000  0.112360        104     0.000713  54.200965  54.200591  54.201305
744   0.785714  0.166667         97     0.000643  54.431272  54.430974  54.431617
745   0.714286  0.125000         62     0.000284  54.434998  54.434856  54.435140
746   0.520000  0.574713         96     0.000493  54.672966  54.672699  54.673192
747   0.868421  0.493506         88     0.000598  54.792707  54.792407  54.793005
748   0.081481  0.971223        156     0.000942  54.812141  54.811702  54.812644
749   0.818182  0.112245        109     0.000556  54.860958  54.860745  54.861301
750   0.470588  0.197674         98     0.000613  54.927958  54.927642  54.928256
751   0.057692  1.000000         63     0.000552  55.129907  55.129625  55.130177
752   0.888889  0.078261        513     0.002699  55.198330  55.197069  55.199768
753   0.500000  0.028571         82     0.000616  55.246878  55.246550  55.247166
754   0.083333  0.983607         70     0.000438  55.265840  55.265607  55.266045
755   0.700000  0.056497        204     0.001326  55.353950  55.353201  55.354528
756   1.000000  0.033333        135     0.000808  55.518779  55.518369  55.519178
757   0.558140  0.537500         92     0.000657  55.666035  55.665718  55.666374
758   0.169492  0.867647         79     0.000559  55.784569  55.784312  55.784871
759   0.016129  1.000000         71     0.000443  55.787074  55.786886  55.787329
760   0.176471  0.906667         87     0.000625  55.810993  55.810677  55.811302
761   0.875000  0.076190        121     0.000869  55.840133  55.839666  55.840535
762   0.500000  0.467532         91     0.000737  55.877205  55.876812  55.877550
763   0.447761  0.536000        140     0.000817  55.881781  55.881344  55.882161
764   0.127273  0.948276         70     0.000701  56.034066  56.033680  56.034381
765   0.545455  0.550000         69     0.000467  56.044559  56.044334  56.044800
766   0.735955  0.572347        331     0.001014  56.084856  56.084405  56.085418
767   0.061798  1.000000        204     0.001323  56.101893  56.101182  56.102505
768   0.120301  0.985185        149     0.000731  56.103220  56.102867  56.103598
769   0.666667  0.045455         75     0.000449  56.109048  56.108822  56.109271
770   1.000000  0.114754         70     0.000462  56.139766  56.139527  56.139989
771   1.000000  0.087719         65     0.000383  56.140566  56.140391  56.140774
772   0.541667  0.413793         67     0.000470  56.211464  56.211226  56.211696
773   0.147541  0.871429         82     0.000596  56.287097  56.286817  56.287413
774   0.044118  1.000000         78     0.000515  56.388588  56.388329  56.388844
775   0.097297  0.984043        221     0.001529  56.396365  56.395637  56.397166
776   0.268293  0.561644         81     0.000450  56.498050  56.497871  56.498320
777   0.666667  0.113924         92     0.000686  56.503513  56.503210  56.503895
778   1.000000  0.072727         65     0.000493  56.521727  56.521460  56.521954
779   0.666667  0.076923         87     0.000479  56.566857  56.566633  56.567112
780   0.777778  0.157895         65     0.000513  56.572308  56.572053  56.572566
781   0.800000  0.051020        112     0.000706  56.592908  56.592504  56.593210
782   0.830189  0.576087        108     0.000833  56.691062  56.690603  56.691437
783   0.057692  1.000000         64     0.000557  56.798792  56.798537  56.799094
784   0.736842  0.112426        191     0.001101  57.141347  57.140777  57.141878
785   1.000000  0.111111        110     0.000631  57.176934  57.176608  57.177239
786   0.714286  0.053435        151     0.001019  57.178713  57.178226  57.179245
787   0.518519  0.482143         65     0.000472  57.185432  57.185184  57.185657
788   0.388889  0.529412         78     0.000520  57.187817  57.187561  57.188081
789   0.833333  0.080000         87     0.000555  57.189433  57.189169  57.189724
790   0.500000  0.105263         66     0.000457  57.318342  57.318130  57.318587
791   0.857143  0.114754         73     0.000620  57.320347  57.320083  57.320703
792   0.210526  0.358491        123     0.000906  57.349552  57.349048  57.349953
793   0.533333  0.461538         78     0.000624  57.417220  57.416905  57.417530
794   0.833333  0.066667        108     0.000957  57.479742  57.479277  57.480234
795   0.800000  0.491071        127     0.000764  57.482059  57.481656  57.482420
796   0.750000  0.042553        113     0.000973  57.747661  57.747193  57.748166
797   0.500000  0.076923         62     0.000505  57.748895  57.748648  57.749152
798   0.800000  0.390625         73     0.000463  57.803783  57.803568  57.804031
799   0.481481  0.380282         83     0.000525  57.807126  57.806867  57.807392
800   0.540541  0.521127         83     0.000617  57.832782  57.832454  57.833072
801   0.842105  0.500000         87     0.000522  58.112046  58.111789  58.112311
802   0.676056  0.541985        144     0.000621  58.174666  58.174342  58.174963
803   0.642857  0.538462        179     0.001239  58.258177  58.257508  58.258747
804   0.625000  0.477612         76     0.000489  58.262249  58.262029  58.262518
805   0.666667  0.040541         85     0.000580  58.296197  58.295918  58.296498
806   0.421053  0.570000        111     0.000571  58.341285  58.340999  58.341570
807   0.556180  0.671698        303     0.002050  58.594168  58.593253  58.595303
808   0.780488  0.518987         89     0.000489  58.606246  58.606026  58.606515
809   0.809524  0.518519         91     0.000549  58.896333  58.896060  58.896609
810   0.666667  0.535714         99     0.000742  58.899521  58.899177  58.899920
811   0.531250  0.359551        104     0.000779  58.900340  58.899984  58.900763
812   0.666667  0.103448         69     0.000513  58.906197  58.905976  58.906489
813   0.800000  0.038168        145     0.000702  58.931703  58.931382  58.932084
814   1.000000  0.107692         76     0.000556  58.949489  58.949181  58.949738
815   0.666667  0.065217        158     0.000992  58.959609  58.959112  58.960104
816   1.000000  0.029851         81     0.000781  58.966289  58.965894  58.966676
817   0.857143  0.109375         73     0.000475  58.970014  58.969782  58.970257
818   0.800000  0.102740        164     0.000972  58.971540  58.971064  58.972036
819   0.000000  0.038462         64     0.000612  58.972365  58.972074  58.972685
820   0.750000  0.114286         81     0.000574  58.974279  58.973956  58.974529
821   1.000000  0.059701         78     0.000526  59.019326  59.019050  59.019576
822   0.777778  0.050847        196     0.000961  59.347703  59.347220  59.348182
823   0.733333  0.060729        286     0.002122  59.349749  59.348690  59.350812
824   0.800000  0.074627         75     0.000387  59.383848  59.383683  59.384070
825   0.500000  0.070175         65     0.000442  59.597730  59.597513  59.597955
826   0.600000  0.090909         65     0.000479  59.652319  59.652078  59.652557
827   0.824561  0.497817        257     0.001609  59.825051  59.824125  59.825735
828   0.486111  0.385027        214     0.001416  59.828076  59.827356  59.828773
829   0.755556  0.351562        142     0.000719  59.831076  59.830706  59.831425
830   0.408000  0.534188        269     0.001773  59.836703  59.835748  59.837520
831   0.750000  0.100000         91     0.000491  59.915949  59.915713  59.916204
832   0.807692  0.366197         82     0.000613  59.925994  59.925693  59.926306
833   0.086957  1.000000        108     0.000781  60.206809  60.206439  60.207220
834   1.000000  0.032520        141     0.000914  60.241933  60.241499  60.242412
835   0.611111  0.209302        101     0.000766  60.528969  60.528582  60.529347
836        NaN  0.000000        134     0.000719  60.621143  60.620810  60.621529
837   1.000000  0.038674        200     0.001000  60.635388  60.634835  60.635835
838   0.818182  0.086614        139     0.000601  60.643805  60.643510  60.644111
839   0.900000  0.106383        106     0.000596  60.648770  60.648470  60.649067
840   1.000000  0.042373        136     0.000894  60.649897  60.649470  60.650364
841   0.875000  0.065574        140     0.000849  60.651490  60.651051  60.651900
842   0.837838  0.637931         68     0.000497  60.823563  60.823338  60.823835
843   0.596491  0.483051        130     0.000598  60.825804  60.825489  60.826087
844   0.424242  0.448980        164     0.000847  61.207513  61.207081  61.207928
845   0.571429  0.518519         62     0.000415  61.338039  61.337826  61.338241
846   0.098592  1.000000        153     0.000752  61.525374  61.525017  61.525769
847   0.062500  0.960000        116     0.000808  61.530023  61.529642  61.530450
848   0.921569  0.472222        122     0.000750  61.548721  61.548325  61.549075
849   1.000000  0.033333         69     0.000461  61.572223  61.572001  61.572463
850   0.084746  1.000000         70     0.000482  61.611992  61.611761  61.612242
851   0.333333  0.037037         93     0.000581  61.619550  61.619236  61.619818
852   0.046980  0.986755        177     0.001354  61.648701  61.647985  61.649339
853   0.450000  0.110497        198     0.000846  61.721158  61.720758  61.721604
854   0.218750  0.244275        145     0.000652  61.722010  61.721643  61.722295
855   0.050847  1.000000         70     0.000521  61.729790  61.729530  61.730051
856   0.057692  1.000000        120     0.000824  61.752973  61.752534  61.753357
857   0.518519  0.519231         61     0.000463  61.820202  61.819965  61.820428
858   0.722222  0.197802        107     0.000857  61.842757  61.842333  61.843191
859   0.433333  0.517241         67     0.000452  61.860109  61.859927  61.860379
860   0.013699  1.000000         84     0.000565  62.008779  62.008488  62.009053
861   0.857143  0.100000        154     0.000836  62.147982  62.147573  62.148410
862   0.714286  0.063063        128     0.000914  62.154636  62.154152  62.155067
863   0.683333  0.631579        106     0.000513  62.279014  62.278776  62.279289
864   0.657895  0.489270        250     0.000875  62.380019  62.379643  62.380518
865   0.591304  0.477178        262     0.001010  62.390097  62.389582  62.390591
866   0.607143  0.583333        107     0.000588  62.392787  62.392484  62.393072
867   0.108911  0.990196        115     0.000671  62.425407  62.425061  62.425731
868   1.000000  0.117647         78     0.000543  62.803767  62.803539  62.804081
869   0.863636  0.079137        315     0.001916  62.953306  62.952476  62.954392
870   0.666667  0.103448         68     0.000529  63.018706  63.018420  63.018949
871   1.000000  0.054795         85     0.000594  63.076761  63.076505  63.077099
872   0.333333  0.034483        103     0.000807  63.231784  63.231409  63.232217
873   0.111111  0.762712         69     0.000526  63.414499  63.414228  63.414754
874   0.133333  0.952381         74     0.000611  63.426558  63.426230  63.426841
875   0.750000  0.126984         73     0.000537  63.571067  63.570804  63.571341
876   0.626506  0.549669        167     0.000833  63.590756  63.590316  63.591149
877   0.750000  0.058824         80     0.000599  63.709778  63.709476  63.710075
878   1.000000  0.044118         79     0.000559  63.714621  63.714390  63.714949
879   0.659574  0.370079        142     0.000748  63.905697  63.905308  63.906056
880   0.000000  0.285714         65     0.000456  63.997358  63.997111  63.997567
881   0.118280  0.968750        106     0.000561  64.005849  64.005561  64.006123
882   0.333333  0.196078        172     0.000950  64.157257  64.156758  64.157708
883   0.666667  0.080000         85     0.000511  64.163871  64.163618  64.164129
884   0.558824  0.539683         76     0.000636  64.264743  64.264437  64.265073
885   0.800000  0.096154         58     0.000315  64.353610  64.353477  64.353793
886   0.588235  0.121429        301     0.001121  64.356641  64.356062  64.357183
887   0.437500  0.432432         84     0.000510  64.358483  64.358213  64.358723
888   0.777778  0.111111         90     0.000414  64.582723  64.582553  64.582966
889   0.527607  0.500000        357     0.001740  64.678522  64.677675  64.679415
890   0.750000  0.108108        175     0.001308  64.743631  64.742956  64.744264
891   0.761905  0.148936        160     0.001003  64.745521  64.745026  64.746029
892   0.571429  0.482759        163     0.000922  64.753741  64.753312  64.754234
893   0.857143  0.084337         96     0.000673  64.754706  64.754390  64.755063
894   1.000000  0.078125         76     0.000620  65.056011  65.055721  65.056342
895   0.800000  0.055556        101     0.000607  65.060592  65.060264  65.060871
896   0.787879  0.445946         82     0.000378  65.185776  65.185573  65.185951
897   0.631579  0.550725        152     0.000753  65.594606  65.594227  65.594980
898   0.823529  0.215190         90     0.000548  65.721553  65.721269  65.721816
899   0.109091  0.932203         69     0.000665  65.801449  65.801072  65.801737
900   0.734375  0.372093        187     0.000857  65.946661  65.946226  65.947083
901   0.719008  0.493878        268     0.001174  65.949895  65.949275  65.950449
902   0.521739  0.396552         66     0.000415  65.957232  65.957042  65.957457
903   0.800000  0.061728         97     0.000872  65.958484  65.958076  65.958947
904   0.739130  0.410714         64     0.000450  65.996474  65.996241  65.996691
905   0.720000  0.403226        206     0.001001  66.138446  66.137930  66.138931
906   0.357143  0.172840         97     0.000806  66.268220  66.267846  66.268651
907   0.696429  0.329412        385     0.002319  66.272629  66.271309  66.273628
908   0.709677  0.548673        127     0.000851  66.274559  66.274177  66.275028
909   1.000000  0.016129         70     0.000425  66.354694  66.354464  66.354889
910   0.750000  0.077670        118     0.000772  66.432876  66.432502  66.433274
911   1.000000  0.088235         77     0.000487  66.602320  66.602074  66.602561
912   0.092308  1.000000        308     0.002546  66.887651  66.886431  66.888977
913   0.704918  0.469231        149     0.001057  66.916409  66.915850  66.916907
914   0.578947  0.413043        109     0.000855  67.104393  67.103932  67.104787
915   0.708333  0.505263        107     0.000688  67.150026  67.149676  67.150364
916   0.194030  0.761364        103     0.000696  67.365747  67.365409  67.366105
917   0.500000  0.170940        137     0.001033  67.760217  67.759705  67.760738
918   1.000000  0.018868         60     0.000374  67.875023  67.874848  67.875222
919   0.081081  0.965217        136     0.001072  68.375324  68.374777  68.375849
920   0.071429  1.000000         99     0.000735  68.380209  68.379841  68.380576
921   0.428571  0.491228         65     0.000455  68.485854  68.485630  68.486085
922   0.555556  0.571429         74     0.000525  68.487316  68.487061  68.487587
923   0.800000  0.090909         64     0.000476  68.589615  68.589378  68.589854
924   0.030303  1.000000         76     0.000539  68.651622  68.651373  68.651912
925   0.828125  0.520325        134     0.000586  69.005139  69.004862  69.005448
926   0.794118  0.576271         71     0.000598  69.006312  69.006008  69.006606
927   0.750000  0.061538         76     0.000573  69.060790  69.060513  69.061087
928   0.774194  0.571429        242     0.001333  69.289502  69.288842  69.290176
929   0.745763  0.541284        124     0.000782  69.321283  69.320919  69.321701
930   0.739726  0.336406        238     0.001112  69.395327  69.394758  69.395870
931   0.875000  0.103896         89     0.000595  69.397674  69.397394  69.397989
932   0.821429  0.066986        459     0.002148  69.470075  69.469068  69.471216
933   0.857143  0.046667        165     0.000786  69.475022  69.474619  69.475404
934   1.000000  0.054795         85     0.000605  69.482879  69.482558  69.483163
935   1.000000  0.073684        113     0.000937  69.839212  69.838773  69.839711
936   0.633333  0.483871         72     0.000519  69.891753  69.891491  69.892011
937   0.489796  0.487562        222     0.001073  69.894118  69.893578  69.894651
938   0.545455  0.564103        130     0.000660  69.900348  69.899972  69.900632
939   0.842105  0.078189        273     0.001514  69.938842  69.938127  69.939641
940   0.800000  0.043103        132     0.000858  69.946709  69.946319  69.947177
941   0.750000  0.417910         79     0.000618  70.060345  70.060053  70.060671
942   0.923077  0.164557         90     0.000640  70.061136  70.060813  70.061453
943   0.468750  0.492308         73     0.000468  70.104780  70.104513  70.104981
944   0.857143  0.104478         80     0.000705  70.243123  70.242779  70.243484
945   0.833333  0.113208        122     0.000846  70.263491  70.263034  70.263880
946   1.000000  0.015385         77     0.000536  70.324764  70.324521  70.325057
947   0.600000  0.066667         86     0.000570  70.451916  70.451628  70.452198
948   1.000000  0.055556         82     0.000499  70.458989  70.458709  70.459208
949   0.750000  0.076433        188     0.001646  70.480742  70.479932  70.481578
950   0.695652  0.442308         62     0.000503  70.719713  70.719485  70.719988
951   0.153846  0.838710         74     0.000590  70.788436  70.788146  70.788736
952   0.536585  0.482353         97     0.000598  70.790830  70.790508  70.791106
953   0.916667  0.125000        111     0.000842  70.895600  70.895180  70.896022
954   0.697674  0.472527        103     0.000636  70.976542  70.976218  70.976854
955   0.800000  0.221675        231     0.001432  70.977815  70.977196  70.978627
956   0.500000  0.027778         84     0.000711  71.005866  71.005465  71.006176
957   0.666667  0.032258        104     0.000579  71.046738  71.046466  71.047044
958   1.000000  0.118644         66     0.000375  71.048628  71.048460  71.048835
959   0.500000  0.158416        113     0.000609  71.304722  71.304434  71.305043
960   0.555556  0.130435         81     0.000704  71.305976  71.305679  71.306383
961   0.575758  0.492537         74     0.000336  71.410709  71.410575  71.410911
962   0.741935  0.543860         64     0.000341  71.423127  71.422944  71.423286
963   0.576923  0.240741        123     0.000770  71.557857  71.557442  71.558212
964   0.666667  0.103448         67     0.000471  71.625939  71.625690  71.626161
965   0.082569  1.000000        127     0.000880  71.637372  71.636933  71.637813
966   0.250000  0.036697        125     0.000836  71.642924  71.642471  71.643306
967   0.121622  0.986667         91     0.000806  71.679507  71.679094  71.679900
968   0.074074  0.931034         68     0.000518  71.681439  71.681184  71.681702
969   0.857143  0.090909         91     0.000743  71.703592  71.703192  71.703935
970   0.074074  0.987805         96     0.000719  71.733233  71.732873  71.733592
971   0.750000  0.515464        213     0.001074  71.735901  71.735348  71.736422
972   0.129630  0.981818        124     0.000721  71.814546  71.814190  71.814911
973   0.826923  0.239631        248     0.001663  71.838847  71.838012  71.839675
974   0.888889  0.305085         72     0.000646  71.841774  71.841462  71.842107
975   0.052083  0.979592        112     0.000708  71.982824  71.982478  71.983186
976   0.729730  0.411111        104     0.000734  72.040677  72.040314  72.041048
977   0.666667  0.051724         66     0.000398  72.046353  72.046163  72.046561
978   0.750000  0.053333        174     0.001274  72.199093  72.198452  72.199726
979   0.727273  0.099099        125     0.000821  72.201024  72.200625  72.201446
980   0.444444  0.209302         99     0.000623  72.290632  72.290334  72.290957
981   0.742857  0.147679        273     0.001785  72.314972  72.314095  72.315880
982   0.814815  0.262136        114     0.000537  72.325482  72.325213  72.325750
983   0.810345  0.588832        225     0.001469  72.406836  72.406182  72.407651
984   0.545455  0.150685         84     0.000585  72.590944  72.590661  72.591247
985   0.819277  0.568493        164     0.000945  72.720041  72.719630  72.720574
986   0.080000  1.000000         88     0.000727  72.722455  72.722106  72.722833
987   0.067568  0.948718         93     0.000742  72.749068  72.748697  72.749440
988   0.545455  0.354839         71     0.000456  72.847576  72.847346  72.847803
989   0.666667  0.415385         74     0.000456  72.850955  72.850738  72.851194
990   0.573171  0.625954        144     0.000574  72.931280  72.931015  72.931589
991   1.000000  0.039370        142     0.000788  73.093026  73.092630  73.093418
992   0.794872  0.375000        116     0.000621  73.292512  73.292225  73.292846
993   0.102190  1.000000        159     0.001170  73.386794  73.386241  73.387411
994   0.069620  0.987500        184     0.001259  73.397478  73.396873  73.398132
995   0.100917  0.990909        132     0.001242  73.415274  73.414658  73.415900
996   0.659091  0.468085        107     0.000659  73.423186  73.422815  73.423474
997   0.833333  0.085714         81     0.000546  73.509547  73.509297  73.509843
998   0.833333  0.068966         98     0.000548  73.514549  73.514286  73.514834
999   0.800000  0.072993        158     0.001178  73.532162  73.531583  73.532761
1000  0.177215  0.814433        111     0.000715  73.564286  73.563918  73.564633
1001  0.566038  0.430894        135     0.000607  73.608374  73.608062  73.608669
1002  0.777778  0.107143         95     0.000554  73.643400  73.643154  73.643708
1003  0.571429  0.059322        138     0.001018  73.660517  73.659986  73.661004
1004  0.766667  0.491803         73     0.000695  73.921334  73.920990  73.921685
1005  0.745455  0.500000        126     0.000867  73.926084  73.925671  73.926538
1006  0.500000  0.023256        101     0.000799  73.947243  73.946873  73.947672
1007  0.708333  0.089552        313     0.002360  73.951218  73.950113  73.952473
1008  1.000000  0.070588         95     0.000559  73.954751  73.954445  73.955004
1009  0.666667  0.075949         89     0.000508  73.958216  73.957916  73.958424
1010  0.333333  0.318182         76     0.000530  74.034017  74.033755  74.034285
1011  0.111111  0.259615        121     0.000868  74.293270  74.292835  74.293704
1012  0.750000  0.055556         84     0.000647  74.383860  74.383573  74.384220
1013  0.633333  0.333333        104     0.000675  74.476280  74.475976  74.476651
1014  1.000000  0.079545         99     0.000603  74.583723  74.583459  74.584062
1015  0.115385  0.866667        104     0.000706  74.721521  74.721149  74.721856
1016  0.073684  0.896226        124     0.000933  74.722745  74.722313  74.723246
1017  0.101351  0.736318        231     0.001539  74.724065  74.723301  74.724841
1018  0.666667  0.034091        105     0.000887  74.770225  74.769800  74.770687
1019       NaN  0.000000         74     0.000491  74.773123  74.772828  74.773319
1020  0.034483  0.966667         73     0.000655  74.876785  74.876449  74.877104
1021  0.750000  0.074074         60     0.000307  74.881083  74.880920  74.881227
1022  0.833333  0.089552         76     0.000592  74.882699  74.882419  74.883011
1023  0.736842  0.152000        145     0.001043  74.906869  74.906339  74.907381
1024  0.766667  0.379747         89     0.000522  74.908347  74.908108  74.908629
1025  0.686567  0.421384        176     0.000833  74.909221  74.908764  74.909597
1026  0.600000  0.116279        100     0.000736  74.968640  74.968296  74.969032
1027  0.057692  1.000000         59     0.000360  74.983773  74.983606  74.983966
1028  0.109756  1.000000         94     0.000617  75.015103  75.014815  75.015432
1029  0.609756  0.424870        223     0.001525  75.017428  75.016624  75.018149
1030  0.454545  0.222973        165     0.000832  75.255650  75.255232  75.256064
1031  0.064516  0.436620         86     0.000746  75.280169  75.279757  75.280503
1032  0.085271  0.977273        154     0.001063  75.283679  75.283162  75.284225
1033  0.089552  0.971014         82     0.000646  75.309127  75.308780  75.309426
1034  0.557377  0.393548        179     0.001201  75.410204  75.409556  75.410756
1035  0.108108  0.936709         93     0.000720  75.620856  75.620502  75.621222
1036  0.087912  0.968085        114     0.000993  75.622000  75.621468  75.622462
1037  0.666667  0.031579        108     0.000685  75.695277  75.694929  75.695615
1038  0.769231  0.111111        137     0.001006  75.712810  75.712303  75.713309
1039  0.875000  0.070175        132     0.000888  75.717232  75.716777  75.717665
1040  0.093333  0.961538         94     0.000682  75.768537  75.768185  75.768867
1041  0.482759  0.500000         65     0.000308  75.777692  75.777554  75.777862
1042  0.603774  0.386861        155     0.000939  75.783884  75.783441  75.784380
1043  0.461538  0.090909        167     0.001199  75.791073  75.790482  75.791681
1044  0.833333  0.093750         75     0.000516  75.826826  75.826574  75.827090
1045  0.500000  0.030303        146     0.000775  75.846424  75.846023  75.846798
1046  0.875000  0.115942         76     0.000400  75.869669  75.869496  75.869895
1047  0.875000  0.051948        177     0.001232  75.872089  75.871481  75.872713
1048  1.000000  0.087500        178     0.000966  75.873450  75.872932  75.873899
1049  0.604651  0.716667        198     0.000877  75.897386  75.896945  75.897822
1050  1.000000  0.076923         74     0.000488  76.143669  76.143423  76.143911
1051  0.825000  0.281690        163     0.001070  76.171577  76.171035  76.172105
1052  0.666667  0.112782        145     0.000737  76.293484  76.293114  76.293851
1053  0.633333  0.437956        155     0.000913  76.297927  76.297446  76.298359
1054  0.535714  0.411765        156     0.000983  76.332356  76.331875  76.332858
1055  0.794118  0.548387         72     0.000545  76.387276  76.386983  76.387527
1056  0.147541  0.983871         72     0.000556  76.413717  76.413421  76.413977
1057  0.063492  0.984375         72     0.000409  76.445348  76.445126  76.445535
1058  0.875000  0.145455         63     0.000401  76.450732  76.450528  76.450929
1059  0.727273  0.555556        113     0.000692  76.580150  76.579815  76.580507
1060  0.568182  0.453608        109     0.000666  76.584711  76.584369  76.585035
1061  0.642202  0.405204        291     0.001118  76.672153  76.671505  76.672623
1062  0.733333  0.436047        196     0.001231  76.730868  76.730350  76.731581
1063  1.000000  0.117647         77     0.000494  76.770768  76.770508  76.771003
1064  0.555556  0.086538        119     0.000770  76.782802  76.782414  76.783184
1065  0.500000  0.145455         62     0.000392  77.244417  77.244221  77.244614
1066  0.739130  0.543307        144     0.000928  77.260838  77.260379  77.261307
1067  0.610294  0.467354        313     0.001118  77.262499  77.261941  77.263059
1068  1.000000  0.050633         92     0.000681  77.266758  77.266370  77.267051
1069  0.294118  0.326923         57     0.000276  77.280885  77.280731  77.281007
1070  0.092593  0.981818         63     0.000394  77.333105  77.332915  77.333309
1071       NaN  0.000000         87     0.000774  77.408342  77.407973  77.408747
1072  0.588235  0.369565        105     0.000640  77.410444  77.410095  77.410735
1073  0.714286  0.047138        326     0.001508  77.461825  77.461060  77.462568
1074  0.953488  0.544304        179     0.001085  77.477589  77.477067  77.478152
1075  0.545455  0.117021        214     0.001297  77.709209  77.708588  77.709885
1076  0.279070  0.209756        242     0.001928  77.711136  77.710158  77.712086
1077  0.875000  0.062016        142     0.000698  77.761954  77.761645  77.762343
1078  1.000000  0.034722        160     0.000834  77.766250  77.765811  77.766645
1079  0.550000  0.370370         62     0.000431  77.853512  77.853312  77.853742
1080  0.583333  0.465116        141     0.000614  77.895763  77.895415  77.896029
1081  0.666667  0.054545         63     0.000408  77.909110  77.908883  77.909291
1082  0.888889  0.065217        156     0.000909  77.910089  77.909619  77.910528
1083  1.000000  0.116071        126     0.000714  77.940043  77.939685  77.940399
1084  1.000000  0.098592         82     0.000560  77.941054  77.940806  77.941366
1085  0.489796  0.449541        125     0.000852  77.949807  77.949354  77.950206
1086  0.714286  0.100000         85     0.000700  77.965496  77.965146  77.965846
1087  0.121429  0.921053        175     0.001160  78.002779  78.002211  78.003371
1088  0.240000  0.238095        123     0.001023  78.055236  78.054727  78.055751
1089  0.368421  0.211111        106     0.000836  78.057751  78.057328  78.058164
1090  0.352941  0.303571         65     0.000468  78.078088  78.077850  78.078319
1091  0.804054  0.500000        321     0.001257  78.248130  78.247511  78.248768
1092  0.750000  0.037383        123     0.000870  78.446945  78.446521  78.447391
1093  0.096296  0.978261        164     0.001318  78.504069  78.503434  78.504752
1094  0.811688  0.495177        340     0.001559  78.530357  78.529575  78.531135
1095  0.459459  0.564885        150     0.000958  78.637958  78.637506  78.638464
1096  0.085366  0.976190        100     0.000777  78.653223  78.652854  78.653631
1097  0.735294  0.079254        480     0.002548  78.738906  78.737783  78.740331
1098  0.828571  0.564516         71     0.000435  78.802933  78.802728  78.803163
1099  0.318182  0.258824         95     0.000620  79.002164  79.001859  79.002478
1100  0.846154  0.069519        210     0.001156  79.003377  79.002859  79.004015
1101  1.000000  0.100559        198     0.001060  79.004920  79.004320  79.005380
1102  0.750000  0.098765         92     0.000586  79.019415  79.019122  79.019708
1103  0.500000  0.071429         63     0.000419  79.169102  79.168885  79.169305
1104  0.666667  0.169811         62     0.000489  79.221431  79.221186  79.221675
1105  0.807692  0.361111        159     0.000794  79.277827  79.277437  79.278230
1106  0.810000  0.423729        264     0.001493  79.291630  79.290885  79.292378
1107  0.833333  0.065217        304     0.001422  79.294047  79.293378  79.294799
1108  1.000000  0.074074        122     0.000695  79.498561  79.498176  79.498871
1109  0.878788  0.578947        121     0.000345  79.550402  79.550201  79.550546
1110  0.625000  0.533333        113     0.000427  79.593914  79.593710  79.594137
1111  0.614286  0.526316        149     0.000807  79.752166  79.751782  79.752589
1112  1.000000  0.060150        150     0.000882  79.822212  79.821794  79.822677
1113  0.500000  0.075472         62     0.000462  79.847731  79.847500  79.847962
1114  1.000000  0.066667        138     0.000851  79.851528  79.851144  79.851995
1115  0.035714  1.000000         63     0.000365  79.938365  79.938154  79.938519
1116  0.186441  0.440299        156     0.001252  79.945543  79.944880  79.946132
1117  0.804878  0.431579        106     0.000593  79.950791  79.950463  79.951056
1118  0.492063  0.577982        364     0.001927  80.121075  80.120111  80.122038
1119  0.769231  0.117117        125     0.000699  80.340021  80.339682  80.340381
1120  0.750000  0.097561         91     0.000494  80.364054  80.363828  80.364321
1121  0.600000  0.097087        122     0.001053  80.365941  80.365373  80.366426
1122  0.638889  0.514286         80     0.000581  80.375148  80.374884  80.375465
1123  0.766667  0.434783         76     0.000370  80.474913  80.474751  80.475120
1124  0.888889  0.083333        239     0.001224  80.548552  80.547871  80.549095
1125  0.692308  0.245283        182     0.001178  80.584811  80.584207  80.585385
1126  0.814815  0.346154         88     0.000533  80.677280  80.677037  80.677570
1127  0.041667  1.000000         81     0.000459  80.705536  80.705300  80.705759
1128  0.857143  0.065728        241     0.001521  80.727182  80.726452  80.727973
1129  1.000000  0.042373        133     0.000782  80.729607  80.729254  80.730035
1130  0.050000  0.975610         95     0.000724  80.779764  80.779453  80.780177
1131  0.777778  0.166667         63     0.000487  80.825536  80.825296  80.825784
1132  0.480000  0.666667         86     0.000581  80.919317  80.919014  80.919594
1133  0.875000  0.049383        178     0.000838  80.936789  80.936377  80.937214
1134  0.121622  0.973684         89     0.000598  81.023817  81.023548  81.024146
1135  0.065693  1.000000        155     0.000925  81.025410  81.024926  81.025852
1136  0.833333  0.095238         70     0.000400  81.371794  81.371599  81.371999