1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.31552
   4	0.057025	   0	  0.303
   5	0.11099	   0	0.17502
   6	 0.1372	   0	0.28098
   7	 0.1777	   0	 1.4123
   8	 1.0769	   0	 1.0813
   9	 2.0652	   0	  1.535
  10	 2.8614	   0	 1.9147
  11	 3.7646	   0	 1.8018
  12	 4.5897	   0	 1.5683
  13	 5.2423	   0	0.79927
  14	 5.4848	   0	 1.6871
  15	 6.1206	   0	 1.3665
  16	 6.6991	   0	 1.2645
  17	 7.0759	   0	  1.084
  18	 7.5311	   0	0.82291
  19	 8.2736	   0	0.50635
  20	 9.0085	   0	 1.1256
  21	 9.3466	   0	 1.2763
  22	 9.6952	   0	 1.2632
  23	 9.7796	   0	 1.9731
  24	 9.5171	   0	 2.0506
  25	  9.005	   0	 2.1748
  26	 9.1741	   0	 2.7596
  27	 9.3187	   0	 1.4534
  28	 8.8583	   0	 3.5058
  29	 10.217	   0	  4.122
  30	 12.226	   0	 3.5976
  31	 13.768	   0	 1.4737
  32	 14.296	   0	  1.601
  33	 14.773	   0	 3.3942
  34	 16.109	   0	  2.877
  35	 17.278	   0	 3.2245
  36	 18.668	   0	 3.4801
  37	 20.045	   0	 3.1965
  38	 20.995	   0	 3.0923
  39	 21.898	   0	 3.1632
  40	 22.806	   0	 2.8257
  41	 23.126	   0	 2.1379
  42	 23.049	   0	 1.6865
  43	  23.18	   0	  1.638
  44	 23.123	   0	 1.5116
  45	 22.775	   0	 2.2207
  46	  22.53	   0	  2.091
  47	 22.234	   0	 1.6777
  48	 21.603	   0	 1.7829
  49	  21.85	   0	 1.6954
  50	  22.12	   0	 1.4294
  51	 22.415	   0	  1.129
  52	 22.605	   0	0.84488
  53	 23.426	   0	0.23319
  54	 24.363	   0	0.25406
  55	 25.301	   0	0.38914
  56	 26.219	   0	0.52044
  57	 27.114	   0	 1.3942
  58	 27.988	   0	0.67238
  59	 28.811	   0	0.40357
  60	 29.733	   0	0.39916
  61	 30.654	   0	0.87006
  62	 31.399	   0	0.096236
  63	 31.346	   0	 0.2984
  64	 31.285	   0	 0.3328
  65	  30.42	   0	 1.1454
  66	 29.434	   0	 0.4036
  67	 28.424	   0	0.43021
  68	  27.38	   0	0.83593
  69	 26.765	   0	 1.6704
  70	 26.114	   0	 1.6153
  71	 24.962	   0	 0.7838
  72	 23.836	   0	0.51108
  73	 22.867	   0	0.20112
  74	 21.905	   0	0.23319
  75	 20.867	   0	0.81449
  76	 20.424	   0	 1.5634
  77	 19.927	   0	 1.7151
  78	 19.152	   0	 2.3478
  79	 18.261	   0	 2.1837
  80	 17.148	   0	 1.9916
  81	 15.934	   0	 1.6542
  82	 14.806	   0	 1.7264
  83	 13.207	   0	 2.1516
  84	 11.807	   0	 2.4772
  85	 10.957	   0	 2.7139
  86	 10.245	   0	 3.2505
  87	 9.8947	   0	 2.7246
  88	 9.5995	   0	 2.9209
  89	 9.3629	   0	 3.1708
  90	 8.9571	   0	 3.9493
  91	 8.2944	   0	 3.9483
  92	 7.5476	   0	 3.7896
  93	 6.6453	   0	 3.7079
  94	 6.1362	   0	  2.768
  95	 5.2678	   0	 2.5443
  96	 4.5008	   0	 2.0529
  97	 3.2528	   0	 1.4014
  98	 3.2327	   0	0.41048
  99	 3.2239	   0	0.14844
 100	 2.7302	   0	 2.0971
 101	 2.2121	   0	 2.0472
 102	 1.5994	   0	 2.3711
 103	0.88148	   0	 2.6306
 104	0.04972	   0	 2.7126
 105	0.04972	   0	      0
 106	0.039438	   0	0.082657
 107	0.039438	   0	      0
 108	0.01012	   0	0.22024
 109	6.4879e-15	   0	0.08159