1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.91638
   4	0.33143	   0	0.28183
   5	0.38036	   0	  1.466
   6	  1.244	   0	 1.5436
   7	 2.0567	   0	 1.6562
   8	 2.8509	   0	0.91654
   9	 3.0897	   0	0.41224
  10	 3.1563	   0	0.20682
  11	 3.1888	   0	0.16398
  12	 3.2129	   0	0.13182
  13	 2.5093	   0	 1.8302
  14	  1.761	   0	 1.5129
  15	 1.1699	   0	 1.1131
  16	 1.0451	   0	0.78973
  17	0.57924	   0	 1.9129
  18	0.93651	   0	0.69762
  19	 1.8018	   0	0.09228
  20	   2.79	   0	0.011405
  21	  3.789	   0	0.052849
  22	  4.783	   0	0.011405
  23	  5.782	   0	0.11441
  24	 6.7667	   0	0.099818
  25	 7.7537	   0	0.18893
  26	 8.7414	   0	0.32217
  27	 9.7209	   0	0.43332
  28	 10.689	   0	0.67282
  29	 11.676	   0	0.95977
  30	 12.756	   0	 1.0585
  31	 14.077	   0	 1.5834
  32	 14.752	   0	 1.7342
  33	 15.291	   0	 1.1824
  34	 15.593	   0	 1.0712
  35	 15.565	   0	 1.3161
  36	 15.309	   0	0.96166
  37	 14.929	   0	 1.1171
  38	 14.493	   0	 1.6563
  39	 14.281	   0	   1.22
  40	 13.625	   0	0.45072
  41	 12.713	   0	0.45743
  42	 11.842	   0	  1.125
  43	  11.24	   0	 1.2185
  44	 10.705	   0	 1.0706
  45	 10.122	   0	0.97599
  46	 9.5125	   0	0.95245
  47	 9.0242	   0	   1.26
  48	 9.0255	   0	  1.986
  49	 9.5194	   0	 2.2476
  50	 10.142	   0	 1.8224
  51	 10.568	   0	 2.4962
  52	 11.098	   0	 2.4143
  53	 11.514	   0	 2.6585
  54	 12.036	   0	 2.2267
  55	 12.118	   0	 1.7655
  56	 12.044	   0	  2.116
  57	 12.313	   0	 1.6141
  58	 12.616	   0	 2.1877
  59	 13.087	   0	 2.2166
  60	 13.574	   0	 1.8553
  61	  13.97	   0	 2.0514
  62	 14.446	   0	 2.1811
  63	 14.956	   0	 1.2961
  64	 15.154	   0	 2.0802
  65	 15.694	   0	 1.7784
  66	 16.391	   0	 1.9713
  67	 16.831	   0	 2.1733
  68	 16.748	   0	 2.8962
  69	 17.007	   0	 2.5126
  70	 17.213	   0	 1.6058
  71	 16.766	   0	 2.4223
  72	 16.409	   0	 2.0804
  73	   16.1	   0	 2.0329
  74	 15.899	   0	 1.3573
  75	 15.592	   0	 2.3305
  76	 15.837	   0	 1.9191
  77	 16.061	   0	 1.8137
  78	 16.008	   0	 1.8272
  79	 15.897	   0	 2.0907
  80	 15.464	   0	 2.0571
  81	 15.712	   0	 2.1143
  82	 16.101	   0	 1.6533
  83	 16.558	   0	 1.3642
  84	 16.848	   0	 1.0407
  85	 16.812	   0	0.25913
  86	 16.507	   0	  1.293
  87	  16.22	   0	 1.0851
  88	 15.413	   0	 1.7072
  89	 14.475	   0	 1.8629
  90	 13.499	   0	 1.3827
  91	 12.568	   0	 1.2818
  92	 11.558	   0	 1.2934
  93	 10.467	   0	 1.2716
  94	 9.3121	   0	 1.2407
  95	 8.4662	   0	 1.9637
  96	 8.1073	   0	 1.5432
  97	 7.5161	   0	 1.9458
  98	  7.038	   0	 1.0788
  99	 6.3934	   0	 1.0135
 100	 6.2837	   0	 1.2537
 101	 5.9189	   0	 2.2295
 102	 5.3882	   0	 2.3174
 103	 5.1396	   0	  1.908
 104	 4.4134	   0	 2.1707
 105	 3.6881	   0	 1.7954
 106	 2.9029	   0	 2.1592
 107	 2.4466	   0	 1.5089
 108	 1.9825	   0	 1.8145
 109	 1.5468	   0	 1.6949
 110	 1.0844	   0	 1.8139
 111	0.48339	   0	 2.0203
 112	7.7716e-16	   0	 1.7964