1	      0	   0	      0
   2	      0	   0	0.58357
   3	0.86026	   0	0.34664
   4	 1.7953	   0	0.87242
   5	 2.5025	   0	0.98677
   6	 3.0701	   0	 1.4586
   7	 3.6529	   0	 1.4834
   8	  4.038	   0	 1.4722
   9	 4.5522	   0	  1.334
  10	 5.8255	   0	 1.7425
  11	 6.9391	   0	 1.7082
  12	 7.6547	   0	 1.1979
  13	 8.0406	   0	0.49739
  14	 8.1498	   0	 1.5853
  15	 9.1231	   0	 1.9326
  16	 9.9609	   0	   1.97
  17	 10.674	   0	 1.1356
  18	 11.033	   0	 1.8458
  19	 11.561	   0	  2.427
  20	 12.452	   0	 1.4917
  21	 12.817	   0	 1.1399
  22	 14.151	   0	 1.0313
  23	 15.173	   0	 1.0644
  24	 15.783	   0	0.27879
  25	 15.823	   0	 1.1758
  26	 16.955	   0	  1.222
  27	 17.918	   0	  1.199
  28	 18.264	   0	 1.3915
  29	  19.35	   0	 1.6996
  30	 20.477	   0	  1.715
  31	 21.542	   0	 1.7193
  32	 22.082	   0	 1.7413
  33	 22.872	   0	 1.7744
  34	 23.586	   0	 1.9223
  35	 24.201	   0	 1.6932
  36	 24.432	   0	 1.7822
  37	 25.337	   0	 1.9801
  38	 26.066	   0	 2.4463
  39	 26.768	   0	 1.7556
  40	  27.17	   0	0.79846
  41	  27.27	   0	 1.8261
  42	 27.534	   0	 2.5548
  43	  28.24	   0	 2.3638
  44	 28.851	   0	0.62286
  45	 28.877	   0	 2.1749
  46	 29.422	   0	 2.4031
  47	 29.967	   0	  2.586
  48	 30.474	   0	 3.1263
  49	 31.087	   0	 2.5939
  50	 31.854	   0	 2.5101
  51	 32.143	   0	 2.4968
  52	 32.023	   0	 2.5507
  53	 31.944	   0	 2.0624
  54	  32.28	   0	 1.9356
  55	 32.518	   0	 2.3886
  56	  32.64	   0	 2.5487
  57	 32.726	   0	 1.5806
  58	 32.359	   0	 1.0949
  59	 32.363	   0	 1.9505
  60	 32.312	   0	 2.5358
  61	 32.711	   0	 1.9615
  62	 32.601	   0	  2.971
  63	 32.881	   0	 2.2869
  64	 32.398	   0	 2.0338
  65	 31.292	   0	 2.2862
  66	 30.383	   0	 2.4938
  67	 29.681	   0	  2.319
  68	 28.636	   0	 2.6774
  69	 27.785	   0	 1.7679
  70	  27.38	   0	 1.9748
  71	 26.494	   0	 3.0857
  72	 25.922	   0	 2.4643
  73	  25.28	   0	  2.335
  74	 24.416	   0	 1.5691
  75	 23.242	   0	 1.9136
  76	 21.789	   0	 1.8704
  77	 21.566	   0	 1.2461
  78	 20.932	   0	  1.128
  79	 20.755	   0	0.84917
  80	 19.909	   0	 1.0472
  81	 18.562	   0	 1.0546
  82	 18.052	   0	 1.3679
  83	 17.405	   0	 1.2651
  84	 16.111	   0	 1.4793
  85	 14.575	   0	 1.2501
  86	 14.092	   0	 1.4067
  87	 13.259	   0	 2.3038
  88	 12.929	   0	0.91451
  89	 12.536	   0	 1.3761
  90	 12.508	   0	0.20734
  91	 12.435	   0	0.42038
  92	 12.185	   0	 1.1051
  93	 11.352	   0	 1.3607
  94	 10.454	   0	 1.1503
  95	 9.7022	   0	0.80859
  96	 8.7845	   0	 1.1477
  97	 7.8723	   0	  1.125
  98	 7.8474	   0	0.19212
  99	 7.5352	   0	 1.1852
 100	 6.7375	   0	 1.7045
 101	 5.7616	   0	 1.3275
 102	    4.6	   0	 1.1331
 103	 3.1919	   0	0.95062
 104	 3.0186	   0	0.89936
 105	  2.647	   0	 1.4658
 106	 2.4575	   0	0.93011
 107	 1.7294	   0	 1.8595
 108	0.78417	   0	 1.2444
 109	7.7716e-15	   0	 1.5239