1	      0	   0	      0
   2	      0	   0	0.12229
   3	0.016667	   0	0.98186
   4	0.59579	   0	0.081944
   5	 1.5856	   0	0.63086
   6	 2.4271	   0	 1.0785
   7	 3.1798	   0	 1.4931
   8	 4.0856	   0	  1.401
   9	 4.4445	   0	 0.8307
  10	 4.6619	   0	 1.9136
  11	 5.4589	   0	 1.5453
  12	  6.046	   0	  1.462
  13	 6.4479	   0	 1.5738
  14	 7.1267	   0	 2.1112
  15	 7.8819	   0	 2.1708
  16	  8.578	   0	 1.9713
  17	 9.0531	   0	 1.8437
  18	 9.5078	   0	 1.0476
  19	 9.5337	   0	 1.8298
  20	 9.6456	   0	 1.8408
  21	 9.6576	   0	 2.3715
  22	 9.7717	   0	 2.2309
  23	 10.187	   0	      0
  24	 10.187	   0	0.83288
  25	 10.381	   0	  2.104
  26	 11.192	   0	 1.9746
  27	 11.893	   0	 1.6436
  28	 13.616	   0	 2.4539
  29	 15.151	   0	 2.0391
  30	 16.653	   0	 1.5614
  31	 17.716	   0	 1.8486
  32	 18.268	   0	 1.1617
  33	 18.523	   0	 1.0611
  34	 19.377	   0	 1.8236
  35	 20.609	   0	 1.7639
  36	 21.747	   0	   1.41
  37	 22.756	   0	 1.2493
  38	 23.373	   0	 1.5483
  39	  23.47	   0	 1.9776
  40	 24.304	   0	 2.2156
  41	  25.11	   0	 2.3047
  42	 25.845	   0	 2.5032
  43	 26.753	   0	  1.872
  44	 26.948	   0	 2.6074
  45	  26.89	   0	  2.678
  46	 26.817	   0	 1.4298
  47	 26.521	   0	 2.6038
  48	  26.38	   0	 2.8974
  49	 26.493	   0	 2.7257
  50	 26.738	   0	 2.4976
  51	 26.987	   0	 1.3927
  52	 26.925	   0	 1.5516
  53	 26.406	   0	 2.4049
  54	 26.031	   0	 1.7402
  55	 26.438	   0	 1.2369
  56	 26.786	   0	 1.3216
  57	 26.906	   0	 2.0169
  58	 26.947	   0	 1.8773
  59	 26.953	   0	 1.5942
  60	  27.06	   0	 1.4564
  61	 27.259	   0	  1.442
  62	 27.315	   0	 1.8487
  63	 27.788	   0	 1.2996
  64	 27.791	   0	0.64158
  65	 27.228	   0	 1.3151
  66	 26.343	   0	 1.2532
  67	 25.285	   0	 1.0449
  68	 24.069	   0	0.85463
  69	 22.621	   0	 1.7148
  70	  21.77	   0	 1.2578
  71	 21.075	   0	 1.3521
  72	  20.29	   0	 1.5147
  73	 19.701	   0	 1.3146
  74	 19.499	   0	 1.0544
  75	 18.569	   0	 1.7154
  76	 17.698	   0	 1.6864
  77	 17.044	   0	 1.5789
  78	 16.382	   0	 1.7309
  79	 16.067	   0	 2.1557
  80	 16.067	   0	0.66026
  81	 15.152	   0	 2.2184
  82	 14.235	   0	 2.4309
  83	 13.286	   0	 2.3393
  84	 12.445	   0	  1.367
  85	 12.032	   0	 1.0879
  86	 10.894	   0	 1.2782
  87	 10.252	   0	 1.0787
  88	 9.3572	   0	 1.6562
  89	 8.5006	   0	 1.8295
  90	 7.8038	   0	  1.215
  91	 7.7289	   0	0.93178
  92	 7.6587	   0	0.71496
  93	 6.7582	   0	 1.9843
  94	 5.5515	   0	 2.3441
  95	 4.5623	   0	 2.5701
  96	 3.3443	   0	 1.3679
  97	  3.188	   0	0.64993
  98	  3.188	   0	      0
  99	 3.0999	   0	 1.2948
 100	 3.2111	   0	 1.6666
 101	 3.0952	   0	 2.5571
 102	 3.3645	   0	 2.4208
 103	 3.5155	   0	  1.605
 104	 3.5097	   0	 2.1084
 105	  3.405	   0	 1.6862
 106	  3.036	   0	 1.6958
 107	  2.858	   0	 1.0144
 108	 2.4346	   0	 1.7516
 109	 1.7349	   0	 2.3071
 110	 1.0643	   0	 2.1278
 111	0.61248	   0	 1.5818
 112	0.10755	   0	 1.5463
 113	0.10755	   0	      0
 114	0.08661	   0	0.14668
 115	0.052533	   0	0.21444
 116	1.4433e-15	   0	0.29706