1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	      0
   4	      0	   0	0.54025
   5	0.095483	   0	      0
   6	0.095483	   0	  1.681
   7	0.86966	   0	 1.5542
   8	 2.0672	   0	 1.6369
   9	 3.1372	   0	 1.7638
  10	 3.8649	   0	 2.0161
  11	 4.4946	   0	0.99419
  12	 4.7356	   0	 0.7066
  13	 4.8608	   0	0.52964
  14	 4.9532	   0	0.34528
  15	 5.0075	   0	0.67925
  16	 5.1115	   0	  1.158
  17	 5.3786	   0	 1.6344
  18	  5.812	   0	 1.8213
  19	 6.2277	   0	 1.9852
  20	  6.657	   0	 2.1583
  21	 7.1524	   0	 1.4968
  22	 7.4683	   0	 2.0421
  23	 8.1474	   0	 2.3393
  24	 8.9056	   0	 2.3568
  25	 9.6688	   0	 2.3466
  26	  10.38	   0	 2.5857
  27	 11.172	   0	 2.2762
  28	 11.913	   0	0.95124
  29	 12.102	   0	0.89255
  30	 12.168	   0	 1.6174
  31	 12.405	   0	0.43076
  32	  12.48	   0	 1.6303
  33	 13.023	   0	 2.0157
  34	 13.378	   0	 3.2417
  35	 13.938	   0	  3.118
  36	 14.493	   0	  2.713
  37	 14.914	   0	 2.6948
  38	  15.57	   0	 1.5115
  39	 15.791	   0	 2.8087
  40	 16.481	   0	 2.6996
  41	 17.154	   0	 2.6818
  42	 17.899	   0	 1.0145
  43	 18.106	   0	 1.5657
  44	 18.548	   0	 1.9168
  45	 19.097	   0	  2.312
  46	 20.256	   0	 2.5196
  47	 21.296	   0	 2.4923
  48	 21.971	   0	  1.956
  49	  22.46	   0	 1.8315
  50	 22.821	   0	 1.8121
  51	 23.092	   0	  2.066
  52	 23.375	   0	0.27731
  53	 22.988	   0	 1.5595
  54	 22.582	   0	  2.175
  55	 22.458	   0	 2.5763
  56	 22.935	   0	  2.586
  57	 23.756	   0	 1.5517
  58	 24.236	   0	 1.6561
  59	 24.753	   0	0.96718
  60	 24.728	   0	 3.0007
  61	 25.245	   0	 3.0597
  62	  25.36	   0	 3.3115
  63	 25.023	   0	 3.7078
  64	 24.582	   0	 3.6901
  65	 24.152	   0	 2.8788
  66	 23.375	   0	 2.8476
  67	 22.307	   0	 2.6526
  68	 22.098	   0	 1.9731
  69	 22.135	   0	 2.1406
  70	 22.484	   0	 1.9942
  71	 22.939	   0	 1.9695
  72	 23.037	   0	 2.5296
  73	 22.544	   0	 3.7077
  74	 22.554	   0	 2.8702
  75	 22.087	   0	 3.4553
  76	 21.484	   0	 3.0073
  77	 21.341	   0	 2.1575
  78	 20.617	   0	 2.2425
  79	 19.863	   0	 2.4192
  80	 19.671	   0	 2.3852
  81	 19.764	   0	 1.1743
  82	 19.167	   0	 2.1792
  83	 19.325	   0	 1.5082
  84	 19.136	   0	 2.3921
  85	 18.941	   0	  2.054
  86	 19.475	   0	0.080793
  87	 18.997	   0	 2.1578
  88	 18.582	   0	 1.4698
  89	 18.223	   0	 1.3608
  90	 17.659	   0	 2.2367
  91	 17.659	   0	0.086562
  92	  17.49	   0	 1.2525
  93	 17.373	   0	 1.1301
  94	 16.743	   0	 1.6597
  95	 15.676	   0	 2.0055
  96	  14.69	   0	 1.5571
  97	 13.581	   0	 1.7695
  98	 13.613	   0	      0
  99	 12.951	   0	 1.9367
 100	 12.152	   0	 2.0704
 101	 11.615	   0	 1.6156
 102	 11.234	   0	 1.1152
 103	 11.234	   0	      0
 104	 11.234	   0	      0
 105	 10.722	   0	0.99957
 106	 10.084	   0	0.94426
 107	 9.3383	   0	 1.1563
 108	 8.5598	   0	 1.0509
 109	 7.7783	   0	 0.7575
 110	 6.8918	   0	0.78342
 111	 5.9736	   0	0.69973
 112	 5.0484	   0	 0.6826
 113	  4.303	   0	 1.6116
 114	 3.9968	   0	 0.8888
 115	  3.335	   0	 1.8832
 116	 2.7057	   0	 1.6451
 117	 2.2973	   0	0.97561
 118	 1.7021	   0	 1.8327
 119	 1.0572	   0	 1.8547
 120	0.52984	   0	 1.4395
 121	3.8858e-15	   0	0.99743
 122	3.8858e-15	   0	      0
 123	3.8858e-15	   0	      0