1	      0	   0	      0
   2	      0	   0	0.99999
   3	0.49844	   0	0.91333
   4	0.82688	   0	 2.1397
   5	 1.5088	   0	 1.4751
   6	 1.8764	   0	 1.1433
   7	  2.203	   0	 1.7305
   8	  2.913	   0	 0.9467
   9	  3.278	   0	0.13011
  10	  3.296	   0	0.87213
  11	 3.5296	   0	0.49838
  12	 4.5084	   0	0.47433
  13	 5.4888	   0	 0.4598
  14	 6.3917	   0	0.85818
  15	 7.3624	   0	 1.0968
  16	 8.3005	   0	 1.2989
  17	 9.2486	   0	 1.3678
  18	 10.139	   0	  1.607
  19	 11.044	   0	 1.8228
  20	  11.94	   0	 1.4251
  21	 12.224	   0	 1.5083
  22	 12.757	   0	0.99999
  23	 13.255	   0	0.99962
  24	 13.767	   0	 1.7966
  25	 14.431	   0	 2.0599
  26	 15.132	   0	 1.1279
  27	 15.345	   0	0.50713
  28	 15.357	   0	0.62886
  29	  15.28	   0	 1.7737
  30	 15.471	   0	 1.6072
  31	 15.605	   0	 1.8666
  32	 15.798	   0	 1.8854
  33	 16.183	   0	 1.8646
  34	 16.782	   0	 1.5767
  35	 17.382	   0	 1.8795
  36	  17.93	   0	 2.1242
  37	 18.402	   0	 1.8507
  38	 18.437	   0	 2.3227
  39	 18.576	   0	 1.1809
  40	 18.354	   0	 1.4624
  41	 18.339	   0	0.78719
  42	 17.637	   0	 2.1568
  43	 16.682	   0	 2.4063
  44	  15.77	   0	 2.6542
  45	  15.08	   0	 2.3451
  46	  14.58	   0	 2.2587
  47	 14.452	   0	 2.3895
  48	 14.726	   0	 2.2497
  49	 15.348	   0	 1.4867
  50	 15.784	   0	 1.1824
  51	  15.48	   0	 1.6303
  52	 15.713	   0	 1.6277
  53	 15.923	   0	 1.4188
  54	 16.062	   0	 1.7867
  55	 16.249	   0	 1.9455
  56	 16.392	   0	 1.5527
  57	 16.113	   0	 1.7213
  58	 15.627	   0	  1.311
  59	 14.997	   0	0.99954
  60	 14.055	   0	 1.1749
  61	 13.255	   0	 1.2435
  62	 11.976	   0	 1.3014
  63	 10.583	   0	0.93895
  64	 9.1224	   0	0.90937
  65	 7.7155	   0	0.69186
  66	 7.6434	   0	0.59437
  67	 6.3712	   0	 2.3978
  68	 5.0806	   0	 2.1378
  69	 4.3415	   0	 2.4641
  70	 3.8186	   0	 2.6164
  71	 4.5337	   0	 1.6028
  72	 5.4875	   0	 1.4817
  73	 6.2394	   0	 1.1169
  74	 7.0443	   0	0.67526
  75	 7.8098	   0	0.80566
  76	 8.5208	   0	0.82881
  77	 9.0053	   0	 1.1338
  78	 9.4478	   0	 1.2723
  79	 9.0949	   0	 1.2895
  80	 8.8085	   0	 1.1454
  81	 8.8085	   0	      0
  82	 8.6427	   0	0.64822
  83	 8.4715	   0	0.66032
  84	 8.3024	   0	0.65561
  85	 8.1262	   0	0.74457
  86	 7.1924	   0	0.93904
  87	  6.375	   0	0.68574
  88	 5.4796	   0	0.77308
  89	 4.5371	   0	0.66124
  90	  3.605	   0	0.69205
  91	 3.4446	   0	0.74573
  92	 2.6132	   0	0.65454
  93	 1.7198	   0	0.48957
  94	0.77689	   0	0.39925
  95	0.26635	   0	 1.0122
  96	 0.8717	   0	 1.0867
  97	 1.5146	   0	0.96002
  98	 2.1318	   0	 1.1114
  99	  2.661	   0	 1.3338
 100	 3.1091	   0	0.44773
 101	 3.1014	   0	0.31386
 102	 3.0566	   0	0.44116
 103	 3.0013	   0	0.39318
 104	 2.5225	   0	 1.1006
 105	 1.9843	   0	0.99579
 106	  1.357	   0	 1.0277
 107	0.71411	   0	0.94026
 108	0.065002	   0	 1.0344
 109	0.045765	   0	0.13714
 110	0.019293	   0	0.17637
 111	7.8375e-15	   0	0.13745