1	      0	   0	0.55298
   2	0.12838	   0	 1.2802
   3	0.78254	   0	0.71706
   4	0.98012	   0	 1.0372
   5	 1.2238	   0	 1.0438
   6	 1.4688	   0	 1.3651
   7	 1.9023	   0	0.76649
   8	 2.0586	   0	0.44329
   9	 3.1581	   0	0.35364
  10	 4.2119	   0	 0.8864
  11	 5.0458	   0	 1.3657
  12	 5.7423	   0	   1.62
  13	 6.3108	   0	 1.5861
  14	 6.6937	   0	 1.1908
  15	 6.6532	   0	0.92525
  16	 7.4652	   0	0.94779
  17	 8.2527	   0	  1.171
  18	 8.9618	   0	0.85147
  19	 9.0021	   0	 1.3412
  20	 9.5895	   0	0.79335
  21	  11.17	   0	 1.5097
  22	 13.006	   0	 1.5011
  23	   14.7	   0	 1.4827
  24	 16.092	   0	  1.355
  25	  17.09	   0	 1.7839
  26	 17.651	   0	 1.7993
  27	 18.285	   0	 1.7594
  28	 18.889	   0	 1.7668
  29	 19.496	   0	  1.585
  30	 20.053	   0	 1.6587
  31	 20.589	   0	 1.6643
  32	 21.093	   0	0.63168
  33	  20.61	   0	 2.0779
  34	 20.894	   0	 1.8294
  35	 21.068	   0	 2.2588
  36	 21.493	   0	 2.2011
  37	  21.69	   0	 1.0144
  38	 21.103	   0	 1.4396
  39	 20.978	   0	0.97444
  40	  20.27	   0	 1.2694
  41	  19.46	   0	 1.5875
  42	  18.79	   0	 1.7753
  43	 19.112	   0	 2.2168
  44	 19.442	   0	 2.3021
  45	 19.787	   0	 1.6611
  46	 20.293	   0	 1.1021
  47	  21.02	   0	0.90122
  48	 21.981	   0	0.89707
  49	 22.965	   0	0.25381
  50	 23.899	   0	 0.1442
  51	 24.862	   0	0.14858
  52	  25.83	   0	0.12347
  53	 26.799	   0	0.80587
  54	  27.58	   0	0.13369
  55	  27.58	   0	      0
  56	  27.58	   0	      0
  57	  27.58	   0	      0
  58	 26.751	   0	0.84305
  59	 25.732	   0	0.18235
  60	 24.711	   0	0.18951
  61	 23.724	   0	0.10475
  62	 22.731	   0	0.27922
  63	 22.456	   0	 1.0153
  64	 21.421	   0	 1.1205
  65	 20.579	   0	 1.0915
  66	 19.728	   0	  1.238
  67	 19.061	   0	 1.8653
  68	  18.45	   0	 2.2997
  69	 17.555	   0	 2.3302
  70	 16.622	   0	 1.6821
  71	 15.013	   0	 2.0673
  72	 14.224	   0	 1.2995
  73	 13.356	   0	 1.8109
  74	  13.62	   0	  2.178
  75	 13.726	   0	  1.603
  76	 14.733	   0	 1.3493
  77	 15.172	   0	 1.1891
  78	  15.44	   0	 1.2158
  79	 15.009	   0	 1.1915
  80	 15.152	   0	 1.2925
  81	 15.251	   0	 1.5335
  82	 15.346	   0	 1.5491
  83	 14.691	   0	 1.6957
  84	 13.575	   0	 2.1369
  85	  12.76	   0	 2.1663
  86	 11.842	   0	 2.0697
  87	 11.127	   0	 1.4054
  88	 10.512	   0	0.82161
  89	 10.155	   0	 1.8558
  90	 9.8922	   0	 1.3762
  91	 9.5878	   0	 1.0541
  92	 9.2538	   0	 1.1485
  93	 9.2538	   0	 0.3291
  94	 9.3142	   0	0.28809
  95	 9.2599	   0	0.73071
  96	 9.2768	   0	0.38871
  97	  8.515	   0	  1.612
  98	 7.3384	   0	 1.5478
  99	 6.4252	   0	 1.3217
 100	 5.3422	   0	 1.1863
 101	 4.7377	   0	 1.1737
 102	 4.7252	   0	0.097363
 103	 4.1564	   0	 1.1535
 104	 3.5028	   0	  1.238
 105	 2.8024	   0	    1.4
 106	 1.9791	   0	 1.3026
 107	 1.1327	   0	0.87544
 108	0.16807	   0	0.30161
 109	0.15484	   0	0.10148
 110	6.9944e-15	   0	0.62183