1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.34589
   4	0.93528	   0	0.87497
   5	 1.6404	   0	0.98787
   6	 2.2051	   0	0.55276
   7	 3.6473	   0	 1.0986
   8	 4.6271	   0	0.83042
   9	 4.8896	   0	 1.6283
  10	 5.5983	   0	 1.3975
  11	 6.2423	   0	 1.2917
  12	 6.7818	   0	 1.4389
  13	 7.3502	   0	 1.8627
  14	 8.0446	   0	  1.142
  15	 8.2972	   0	 2.5004
  16	 9.0145	   0	 2.2327
  17	 9.5674	   0	 1.9682
  18	 10.015	   0	 1.4382
  19	 10.326	   0	 1.3484
  20	 10.605	   0	 1.5823
  21	 10.919	   0	 1.4122
  22	 11.202	   0	 1.0288
  23	 12.481	   0	0.76549
  24	 13.806	   0	 1.3331
  25	  14.61	   0	 2.1403
  26	 14.889	   0	 2.1916
  27	 15.752	   0	  1.707
  28	 16.649	   0	 2.0248
  29	 17.572	   0	  2.442
  30	  18.66	   0	 1.9806
  31	 19.978	   0	 1.3917
  32	 20.951	   0	 0.9163
  33	 21.965	   0	 1.0751
  34	 22.996	   0	 1.0656
  35	  23.71	   0	 1.3065
  36	 24.465	   0	 0.5359
  37	 24.571	   0	 1.0539
  38	 24.578	   0	  1.155
  39	  24.39	   0	 1.4859
  40	 25.022	   0	0.92729
  41	 25.365	   0	 1.4346
  42	 25.808	   0	 1.4952
  43	 26.249	   0	 1.6102
  44	 26.682	   0	 1.1244
  45	 27.017	   0	 1.4996
  46	 26.757	   0	 2.0099
  47	 26.764	   0	 1.4839
  48	 26.495	   0	0.95982
  49	 26.315	   0	0.58776
  50	  27.21	   0	0.53422
  51	 28.137	   0	0.53484
  52	 29.053	   0	0.57996
  53	 29.966	   0	0.96993
  54	 30.528	   0	0.68119
  55	 30.421	   0	0.69611
  56	  30.31	   0	0.70508
  57	 29.526	   0	 1.2986
  58	 28.643	   0	0.57557
  59	 27.633	   0	0.58753
  60	 26.555	   0	0.75549
  61	 25.488	   0	0.57917
  62	 25.073	   0	 1.7896
  63	 24.207	   0	 2.7072
  64	 22.814	   0	 2.4811
  65	 21.706	   0	  1.369
  66	 20.135	   0	 1.9566
  67	 18.458	   0	 1.7522
  68	 16.619	   0	  2.109
  69	 14.923	   0	 1.7614
  70	 14.793	   0	 1.2648
  71	 14.636	   0	 1.2886
  72	  14.78	   0	0.83943
  73	 13.927	   0	 1.1429
  74	 13.943	   0	 1.1765
  75	 13.098	   0	0.90388
  76	  13.24	   0	 0.6025
  77	 13.474	   0	0.95629
  78	 13.662	   0	 1.1211
  79	 14.183	   0	 1.8899
  80	 14.644	   0	 2.2881
  81	 14.086	   0	  2.904
  82	 13.619	   0	 2.5018
  83	 13.899	   0	 1.7313
  84	 13.892	   0	 2.1454
  85	 13.962	   0	 1.8083
  86	 14.178	   0	0.89933
  87	 14.735	   0	      0
  88	 14.123	   0	0.96319
  89	 13.172	   0	0.28207
  90	 12.164	   0	0.19051
  91	 11.963	   0	0.86635
  92	 11.194	   0	 1.5822
  93	  10.48	   0	 1.0978
  94	 9.5359	   0	 1.2442
  95	 8.5446	   0	 1.0544
  96	 7.5473	   0	 1.0425
  97	 7.3422	   0	0.87002
  98	 7.2986	   0	0.25874
  99	 6.6108	   0	0.89577
 100	 5.8492	   0	0.79236
 101	  5.019	   0	0.74593
 102	 4.1225	   0	0.61119
 103	  3.209	   0	 0.4245
 104	 2.4131	   0	0.73017
 105	   1.54	   0	0.63168
 106	0.82025	   0	0.85575
 107	0.40384	   0	0.97974
 108	0.04204	   0	0.94417
 109	0.04204	   0	      0
 110	0.016822	   0	0.16981
 111	1.7032e-14	   0	 0.1232