1	      0	   0	      0
   2	      0	   0	0.088196
   3	0.01113	   0	0.61349
   4	0.13628	   0	 1.1189
   5	 0.4797	   0	 1.2919
   6	0.97514	   0	0.43619
   7	 1.0457	   0	 1.0329
   8	 2.0204	   0	0.95256
   9	 3.0967	   0	 1.2023
  10	 4.0543	   0	 1.4853
  11	 4.8731	   0	0.88657
  12	 5.1775	   0	0.41107
  13	   5.26	   0	      0
  14	   5.26	   0	0.72008
  15	 6.3985	   0	 1.5426
  16	 6.9854	   0	 1.5029
  17	 7.6641	   0	 1.4878
  18	 8.3449	   0	  1.425
  19	 8.9372	   0	0.78451
  20	 10.171	   0	0.88146
  21	 11.293	   0	0.95286
  22	 12.314	   0	0.98981
  23	 12.873	   0	0.99998
  24	 13.376	   0	 1.1367
  25	 13.837	   0	 1.3189
  26	 14.234	   0	 1.0777
  27	 14.577	   0	  1.085
  28	 14.989	   0	 1.3161
  29	 15.455	   0	 1.9159
  30	 16.286	   0	  1.684
  31	 16.936	   0	 1.2859
  32	 18.524	   0	  1.557
  33	 19.872	   0	 1.8448
  34	 20.998	   0	 1.9018
  35	 21.558	   0	 1.8041
  36	  22.78	   0	 1.6622
  37	 23.827	   0	0.34963
  38	 23.893	   0	 1.0011
  39	 25.027	   0	 1.0066
  40	 26.169	   0	 1.0419
  41	 26.989	   0	 1.9232
  42	 27.059	   0	 1.5099
  43	  27.69	   0	 1.1827
  44	 28.278	   0	 1.1711
  45	 28.696	   0	 1.5127
  46	 28.459	   0	 1.9309
  47	 28.277	   0	 2.0375
  48	 28.301	   0	  2.041
  49	 28.571	   0	0.83785
  50	 28.571	   0	      0
  51	  28.13	   0	 1.6549
  52	 28.526	   0	 1.2667
  53	 29.253	   0	0.96141
  54	 29.868	   0	0.97651
  55	 30.458	   0	 1.0913
  56	 30.945	   0	 1.3358
  57	 30.987	   0	 1.7986
  58	 31.123	   0	 1.5618
  59	 30.665	   0	 2.1596
  60	 30.393	   0	 2.0611
  61	  30.12	   0	 1.5382
  62	 29.556	   0	 1.5268
  63	 29.424	   0	0.94358
  64	 28.968	   0	 1.3053
  65	 27.879	   0	 1.5246
  66	 26.474	   0	 1.9967
  67	 24.938	   0	 1.9944
  68	 23.663	   0	 1.7782
  69	  22.84	   0	 2.2111
  70	 21.778	   0	 2.2511
  71	 20.029	   0	 2.8909
  72	 18.515	   0	 1.6925
  73	 17.113	   0	 1.5535
  74	 15.915	   0	0.96869
  75	 14.583	   0	 1.0194
  76	  13.17	   0	 0.6811
  77	 12.547	   0	0.95533
  78	 12.547	   0	      0
  79	 12.305	   0	0.87756
  80	 11.764	   0	 1.6491
  81	 11.167	   0	  1.872
  82	 10.454	   0	 2.9086
  83	 9.2086	   0	 2.0707
  84	 8.9375	   0	 1.3539
  85	 8.1981	   0	 1.4484
  86	 8.5372	   0	 1.5483
  87	 8.1169	   0	 1.7497
  88	 7.5891	   0	 1.1795
  89	 6.6917	   0	 1.5245
  90	 6.2931	   0	 1.2445
  91	 5.5948	   0	  1.285
  92	 5.7364	   0	0.29561
  93	 5.1796	   0	0.99067
  94	 4.4125	   0	0.94562
  95	  3.391	   0	0.38388
  96	 3.3286	   0	0.47786
  97	 3.1056	   0	 1.6904
  98	 3.3338	   0	 1.1207
  99	 3.5737	   0	0.11166
 100	 3.3764	   0	 1.4749
 101	 3.6024	   0	  0.968
 102	 3.6441	   0	 1.4555
 103	 3.5983	   0	 1.3844
 104	 3.1357	   0	 1.6722
 105	 2.7419	   0	 1.0783
 106	 2.3307	   0	 1.1446
 107	 1.8813	   0	 1.1286
 108	 1.1795	   0	 1.5922
 109	0.52135	   0	 1.6007
 110	0.24267	   0	0.85364
 111	0.016667	   0	0.77098
 112	3.1225e-16	   0	0.12229