1	      0	   0	0.086698
   2	0.010899	   0	 1.0269
   3	0.66657	   0	0.99265
   4	 1.1161	   0	0.93268
   5	 1.4646	   0	 1.1248
   6	 1.7889	   0	0.93419
   7	 2.0362	   0	0.33007
   8	 2.0968	   0	 1.5287
   9	 2.8642	   0	 2.0177
  10	 3.7251	   0	 2.0859
  11	 4.5942	   0	 1.6533
  12	 4.9745	   0	 1.8829
  13	 5.6654	   0	  1.561
  14	 6.3443	   0	 1.6598
  15	 7.2773	   0	 1.8065
  16	 8.2214	   0	 1.9202
  17	 9.1065	   0	0.087787
  18	 9.1176	   0	0.68834
  19	  9.242	   0	0.76794
  20	 10.415	   0	 1.0164
  21	  10.86	   0	  1.364
  22	  11.16	   0	 1.8282
  23	 11.402	   0	 1.4834
  24	 11.412	   0	 1.4335
  25	 11.382	   0	 1.4069
  26	  11.47	   0	0.60904
  27	 10.825	   0	 2.0283
  28	 10.501	   0	 2.2709
  29	 10.035	   0	 2.8172
  30	 10.594	   0	 2.1641
  31	 10.976	   0	 2.0571
  32	 11.182	   0	 1.9969
  33	 11.527	   0	 1.9578
  34	 12.327	   0	 2.1807
  35	 13.127	   0	 2.0628
  36	 13.714	   0	  1.455
  37	 13.702	   0	 1.8136
  38	 13.965	   0	 1.4179
  39	  14.21	   0	 2.3484
  40	 14.752	   0	 2.1104
  41	 15.263	   0	 2.0039
  42	 15.765	   0	 1.3988
  43	 15.711	   0	 1.9702
  44	 15.525	   0	 2.1804
  45	 15.353	   0	 2.1386
  46	 15.154	   0	 1.5515
  47	 14.658	   0	 1.5508
  48	 14.218	   0	 2.0003
  49	 14.348	   0	 1.6475
  50	 14.603	   0	 1.7811
  51	 15.002	   0	 1.6573
  52	 15.466	   0	 1.6753
  53	 15.875	   0	 1.1151
  54	 15.652	   0	 0.8953
  55	 15.409	   0	 0.8945
  56	 14.581	   0	 1.5344
  57	  13.86	   0	 1.5235
  58	 13.073	   0	 1.8084
  59	 12.389	   0	 1.7157
  60	 12.402	   0	 2.0018
  61	 12.772	   0	 1.0726
  62	 12.598	   0	 1.0793
  63	 13.013	   0	 1.0984
  64	 13.367	   0	 1.0727
  65	  13.38	   0	 1.9648
  66	 13.178	   0	 1.8772
  67	 13.509	   0	 1.5796
  68	 13.147	   0	 1.5924
  69	  12.75	   0	 1.5114
  70	 12.361	   0	  1.392
  71	 11.981	   0	 1.2933
  72	 11.966	   0	0.11329
  73	 11.664	   0	0.95276
  74	 10.642	   0	0.97157
  75	 9.5929	   0	0.87847
  76	 8.6462	   0	 1.1185
  77	 7.5437	   0	0.83913
  78	 6.4269	   0	0.86118
  79	 5.4766	   0	 1.4773
  80	 4.6915	   0	 2.0695
  81	 4.2751	   0	 1.4986
  82	 3.7028	   0	 1.6258
  83	 2.9903	   0	 1.5878
  84	 2.9964	   0	 1.4571
  85	 2.9147	   0	 2.0592
  86	 3.9495	   0	 2.2565
  87	  4.681	   0	 1.7601
  88	 5.1244	   0	 1.5758
  89	 5.7021	   0	 1.3746
  90	 6.0136	   0	 1.8649
  91	 6.2583	   0	 1.3028
  92	 5.9663	   0	 2.0398
  93	 5.7986	   0	 1.4647
  94	 5.5377	   0	 1.2014
  95	 5.5178	   0	0.23936
  96	 5.4344	   0	0.54219
  97	 5.0887	   0	 1.3329
  98	 4.6802	   0	 1.5165
  99	 4.1509	   0	 1.8567
 100	 4.0786	   0	0.44352
 101	 3.8243	   0	 1.2208
 102	 3.5563	   0	 1.1246
 103	 3.4247	   0	0.68691
 104	 2.9663	   0	 1.5938
 105	 2.5253	   0	 1.2925
 106	 1.9848	   0	  1.346
 107	  1.371	   0	 1.0633
 108	  0.607	   0	0.91425
 109	4.4409e-16	   0	0.96671