1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.52028
   4	0.078623	   0	0.49737
   5	0.15317	   0	0.74566
   6	0.28036	   0	0.56052
   7	0.38511	   0	0.52095
   8	0.47997	   0	0.11107
   9	0.49476	   0	      0
  10	0.49476	   0	      0
  11	0.49476	   0	      0
  12	0.49476	   0	0.53063
  13	 1.4152	   0	0.84852
  14	 2.2728	   0	 1.5862
  15	 2.8825	   0	 1.5885
  16	 3.1613	   0	 2.0626
  17	 3.6771	   0	  2.146
  18	 4.6894	   0	 1.9581
  19	 5.6274	   0	 2.0575
  20	  6.515	   0	 2.3145
  21	 7.4116	   0	  2.408
  22	 8.3437	   0	 2.5224
  23	  9.274	   0	 2.6193
  24	 10.233	   0	 2.6366
  25	  11.17	   0	  2.669
  26	 12.122	   0	  2.709
  27	 13.062	   0	 2.7253
  28	 14.015	   0	 2.7586
  29	 14.955	   0	 2.7806
  30	 15.896	   0	 2.8125
  31	 16.811	   0	 2.8341
  32	 17.705	   0	 2.8416
  33	  18.57	   0	 2.8132
  34	 20.037	   0	 3.2778
  35	 21.677	   0	 3.1492
  36	 23.033	   0	  2.945
  37	 24.227	   0	 2.4916
  38	  25.21	   0	 2.8825
  39	 26.581	   0	 3.1004
  40	 27.716	   0	  4.552
  41	 29.298	   0	 4.7017
  42	 30.818	   0	 4.8439
  43	 32.079	   0	 4.9529
  44	 33.162	   0	 4.7877
  45	 33.862	   0	 5.1403
  46	  34.46	   0	 4.9549
  47	 34.966	   0	 4.9821
  48	 35.462	   0	 4.9163
  49	 35.923	   0	 4.8386
  50	 36.317	   0	 4.8362
  51	 36.659	   0	 4.6455
  52	 37.001	   0	  4.506
  53	 37.356	   0	 4.3444
  54	 37.753	   0	 4.1001
  55	 38.152	   0	 3.9568
  56	 38.581	   0	  3.792
  57	  39.02	   0	 3.5798
  58	 39.457	   0	 3.4282
  59	 39.822	   0	 3.4914
  60	 40.176	   0	 3.4474
  61	 40.473	   0	 3.4126
  62	 40.722	   0	 3.4045
  63	 40.921	   0	 3.3894
  64	  41.07	   0	 3.2394
  65	 41.144	   0	 3.0718
  66	 41.129	   0	 2.9523
  67	 41.033	   0	 2.9785
  68	 40.886	   0	 3.1889
  69	 40.964	   0	 2.9854
  70	  40.96	   0	   2.82
  71	 40.703	   0	 2.3036
  72	 40.265	   0	 2.1488
  73	  39.74	   0	 1.9217
  74	 38.931	   0	 1.9437
  75	 37.807	   0	 2.4368
  76	 36.591	   0	 2.0417
  77	 35.137	   0	 1.8086
  78	 33.512	   0	 2.0117
  79	 32.678	   0	 2.5906
  80	 31.799	   0	 2.6519
  81	 30.883	   0	 2.6885
  82	 29.925	   0	 2.7025
  83	 28.921	   0	 2.6465
  84	 27.923	   0	 2.4956
  85	 26.901	   0	  2.579
  86	 25.856	   0	  2.485
  87	 24.894	   0	  2.394
  88	 23.905	   0	 2.3822
  89	 22.929	   0	   2.46
  90	  21.92	   0	 2.4382
  91	 20.921	   0	 2.4809
  92	 19.894	   0	 2.5226
  93	 18.872	   0	 2.5634
  94	 17.814	   0	 2.6236
  95	 16.773	   0	 2.6549
  96	 15.702	   0	 2.7078
  97	 14.617	   0	 2.7407
  98	 13.463	   0	 3.0716
  99	 12.332	   0	 3.0915
 100	 11.129	   0	 3.6196
 101	 10.069	   0	 3.6456
 102	 8.6537	   0	 3.8271
 103	 7.5138	   0	 3.3834
 104	 6.4612	   0	 3.0085
 105	 5.3104	   0	 2.4684
 106	  4.583	   0	 2.1051
 107	 3.7704	   0	 2.2675
 108	 3.2389	   0	 2.0107
 109	 2.5846	   0	 2.1915
 110	 1.8887	   0	 1.9456
 111	 1.3455	   0	 1.9227
 112	 1.0424	   0	 1.4725
 113	0.74952	   0	 1.3217
 114	0.40969	   0	 1.3346
 115	0.02065	   0	 1.4846
 116	6.5503e-15	   0	0.14507