1	      0	   0	0.090253
   2	0.011449	   0	      0
   3	0.011449	   0	 1.0147
   4	0.28037	   0	 1.4874
   5	0.67015	   0	 1.1393
   6	0.95327	   0	 1.5698
   7	 1.3182	   0	 1.3765
   8	  1.685	   0	 1.7892
   9	 2.1275	   0	 1.2722
  10	 2.4388	   0	0.87309
  11	 2.6456	   0	 1.3349
  12	 2.8851	   0	 1.1875
  13	 2.6658	   0	 2.7619
  14	 2.9552	   0	  2.569
  15	 3.3389	   0	 3.4727
  16	 3.8596	   0	 2.7601
  17	 4.7049	   0	 1.6416
  18	 5.5026	   0	 1.4944
  19	 6.0563	   0	 1.3349
  20	 6.3504	   0	0.95405
  21	 6.5641	   0	0.67662
  22	  6.586	   0	0.87378
  23	 7.4775	   0	0.95862
  24	 8.3471	   0	 1.2917
  25	 9.0767	   0	  1.736
  26	 9.8138	   0	 1.5539
  27	 9.7556	   0	 2.1473
  28	 10.369	   0	 1.6907
  29	 11.178	   0	 1.9742
  30	 11.992	   0	 1.6468
  31	 12.864	   0	   1.19
  32	 13.137	   0	   1.68
  33	 13.923	   0	  1.465
  34	 14.508	   0	 1.9478
  35	 16.164	   0	 3.1542
  36	 17.716	   0	 2.2054
  37	 18.736	   0	 2.1662
  38	  19.74	   0	 2.0543
  39	 20.936	   0	 2.1244
  40	 22.089	   0	 1.5873
  41	 22.952	   0	  1.444
  42	 23.572	   0	 1.8773
  43	 24.536	   0	 1.0947
  44	 24.869	   0	  1.426
  45	 25.265	   0	0.99912
  46	 25.403	   0	 1.6844
  47	 26.538	   0	 1.5443
  48	 27.658	   0	 1.3239
  49	 27.996	   0	0.87442
  50	 28.135	   0	 1.0843
  51	 28.234	   0	 1.4669
  52	 27.718	   0	  1.696
  53	 27.318	   0	 1.3724
  54	 27.444	   0	0.41087
  55	 27.014	   0	 1.4319
  56	 26.289	   0	 1.8636
  57	 25.702	   0	 1.5714
  58	 25.052	   0	 1.6844
  59	 24.737	   0	 1.5031
  60	 24.606	   0	 1.9135
  61	 24.431	   0	 1.9631
  62	 23.815	   0	 2.0783
  63	 23.142	   0	 1.8929
  64	 22.624	   0	 1.4209
  65	 22.388	   0	 1.4118
  66	 21.858	   0	 1.5769
  67	 21.239	   0	 1.7108
  68	 20.593	   0	 1.4278
  69	 20.589	   0	0.16564
  70	   20.1	   0	0.99964
  71	   20.1	   0	0.084534
  72	 18.858	   0	 1.6083
  73	 17.495	   0	 1.5848
  74	 16.067	   0	 1.4667
  75	 14.564	   0	 1.6624
  76	 14.089	   0	 2.3759
  77	 13.061	   0	 2.9246
  78	 11.852	   0	 2.5861
  79	 10.718	   0	 2.1069
  80	 9.9001	   0	 2.2355
  81	 9.3505	   0	 2.3846
  82	 8.8824	   0	 2.1992
  83	 8.4274	   0	 1.5767
  84	  8.387	   0	   1.74
  85	 8.4808	   0	 3.1531
  86	 8.7164	   0	 2.4913
  87	  8.737	   0	 2.4763
  88	 8.7985	   0	 2.2813
  89	 8.9837	   0	 2.0456
  90	 9.2201	   0	0.93247
  91	 8.9145	   0	 1.6622
  92	 8.6789	   0	 1.1938
  93	 8.4694	   0	 1.1296
  94	 8.2658	   0	 1.2421
  95	 8.0929	   0	 1.0953
  96	 7.8737	   0	 1.1756
  97	 7.5135	   0	 1.6317
  98	 6.6991	   0	 2.0224
  99	 5.6625	   0	 2.2017
 100	 5.3514	   0	 1.8276
 101	 5.2729	   0	 1.3844
 102	 4.4908	   0	 1.7339
 103	 3.1043	   0	 0.7712
 104	 2.4885	   0	 1.3322
 105	 2.4092	   0	 0.4489
 106	 1.7126	   0	 2.4301
 107	   1.25	   0	 1.9616
 108	0.92808	   0	 1.2215
 109	0.43824	   0	  1.767
 110	2.276e-15	   0	 1.2363
 111	2.276e-15	   0	      0