   1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.28733
   4	0.050221	   0	0.64289
   5	 0.1538	   0	 0.5171
   6	 0.2421	   0	0.66533
   7	0.36955	   0	 0.7026
   8	  1.179	   0	 1.5432
   9	 1.8169	   0	  1.761
  10	 2.3088	   0	 2.6584
  11	 3.0693	   0	0.97808
  12	 3.3212	   0	0.90645
  13	 3.5475	   0	 1.2593
  14	 3.8541	   0	 1.8207
  15	 4.3198	   0	 2.3672
  16	  4.901	   0	 1.9938
  17	 5.3633	   0	0.86234
  18	 5.5183	   0	  1.579
  19	 6.2489	   0	 1.5137
  20	 6.9408	   0	 1.8627
  21	 7.7634	   0	  1.828
  22	 8.4968	   0	0.55149
  23	 8.4829	   0	 1.0751
  24	 8.5924	   0	0.91325
  25	 8.7104	   0	 0.0844
  26	 8.7104	   0	      0
  27	 8.7104	   0	0.65387
  28	 8.2743	   0	 1.5484
  29	 8.2043	   0	 1.5115
  30	  8.095	   0	 1.3958
  31	 7.9281	   0	 1.9691
  32	 8.4685	   0	0.65217
  33	 8.3379	   0	 1.3725
  34	 8.5386	   0	 2.0443
  35	 9.0773	   0	 2.5707
  36	 9.4509	   0	 2.6862
  37	 9.8266	   0	 1.5913
  38	 9.6959	   0	 1.5602
  39	  9.627	   0	 2.3833
  40	 9.7752	   0	 2.6014
  41	 9.9166	   0	 1.8968
  42	 9.5526	   0	 2.2398
  43	 9.7402	   0	0.62433
  44	 9.7025	   0	 1.7883
  45	 10.835	   0	 1.7586
  46	 12.018	   0	 1.4789
  47	 13.053	   0	 2.6703
  48	 14.294	   0	 2.4102
  49	 14.734	   0	  3.029
  50	 15.997	   0	 1.5185
  51	  17.19	   0	 1.7322
  52	 18.551	   0	 3.4636
  53	 20.242	   0	 2.1729
  54	 20.847	   0	 2.3488
  55	 21.689	   0	 2.9551
  56	 22.942	   0	 1.2546
  57	 24.224	   0	 1.6834
  58	 25.576	   0	 2.2078
  59	 27.083	   0	 1.7295
  60	 28.085	   0	 2.1203
  61	 28.944	   0	 2.1771
  62	 29.275	   0	 3.0812
  63	 29.884	   0	 3.0003
  64	 30.621	   0	 2.4071
  65	 31.079	   0	 2.5116
  66	 31.361	   0	 2.3352
  67	 31.067	   0	 2.7337
  68	 30.919	   0	 2.7534
  69	 31.458	   0	 1.5285
  70	 31.295	   0	 2.5723
  71	 31.139	   0	 2.4647
  72	 30.929	   0	 2.2199
  73	 30.034	   0	 2.7463
  74	  29.13	   0	 2.5678
  75	 28.969	   0	 2.8387
  76	 29.299	   0	 2.3841
  77	 28.947	   0	 2.5474
  78	 28.912	   0	 2.1204
  79	 28.816	   0	 1.7072
  80	 28.231	   0	 1.9159
  81	 27.981	   0	 1.8096
  82	 27.819	   0	 2.9193
  83	 27.158	   0	 1.5539
  84	 27.668	   0	 1.8281
  85	 27.829	   0	 2.3649
  86	 27.834	   0	 2.8152
  87	 27.771	   0	 3.5124
  88	  27.79	   0	 2.6875
  89	 27.112	   0	 2.5663
  90	 26.396	   0	 1.8993
  91	 26.089	   0	 1.9403
  92	 26.456	   0	 1.0352
  93	 26.794	   0	0.88273
  94	 26.965	   0	 1.8063
  95	 27.102	   0	0.89541
  96	 27.429	   0	 1.6375
  97	  27.37	   0	 1.9575
  98	 27.152	   0	 2.0601
  99	 27.465	   0	 1.8784
 100	 28.071	   0	  2.603
 101	  28.28	   0	 2.9364
 102	 28.648	   0	 2.4486
 103	  28.44	   0	 2.4348
 104	 28.357	   0	 2.2321
 105	 28.071	   0	 2.4271
 106	 27.754	   0	 2.7429
 107	 28.476	   0	 3.0046
 108	 29.679	   0	 2.9275
 109	 31.171	   0	 3.0458
 110	 32.141	   0	 2.2126
 111	 32.684	   0	 1.6071
 112	  32.74	   0	 2.8878
 113	 32.968	   0	 2.2884
 114	 32.732	   0	 3.2566
 115	 33.148	   0	 1.4643
 116	 32.574	   0	 3.1043
 117	 32.086	   0	 2.2647
 118	 30.753	   0	 2.9202
 119	 29.399	   0	 2.6446
 120	 28.746	   0	 2.5825
 121	  29.11	   0	  1.529
 122	 28.735	   0	 2.3152
 123	 28.405	   0	 2.8169
 124	 28.043	   0	 2.7309
 125	 27.583	   0	 1.8075
 126	 26.479	   0	  2.539
 127	 25.834	   0	 1.9061
 128	 25.368	   0	 1.2143
 129	 24.837	   0	0.46753
 130	 23.877	   0	 1.8232
 131	 24.043	   0	 1.9313
 132	 23.902	   0	 1.3954
 133	 23.862	   0	 2.8134
 134	 24.601	   0	 3.2857
 135	 25.028	   0	 3.7125
 136	 25.292	   0	 3.6168
 137	  25.67	   0	  2.721
 138	 25.469	   0	 3.0829
 139	 25.579	   0	 2.6894
 140	 26.151	   0	 2.0022
 141	 26.248	   0	  1.933
 142	 26.086	   0	 2.1823
 143	  24.98	   0	 4.4311
 144	 24.733	   0	   4.18
 145	 24.662	   0	 2.6176
 146	 25.347	   0	 2.6783
 147	 24.898	   0	 2.3417
 148	 23.752	   0	 4.2685
 149	 24.232	   0	 3.4667
 150	 24.375	   0	 2.1777
 151	 24.101	   0	 3.1749
 152	 24.222	   0	 2.5937
 153	 24.032	   0	 3.7161
 154	 24.166	   0	 3.5602
 155	 24.696	   0	 2.4784
 156	 25.173	   0	 2.6891
 157	 25.559	   0	 3.2083
 158	 25.689	   0	 3.1228
 159	  25.87	   0	 3.1098
 160	 25.645	   0	 3.2263
 161	  25.42	   0	 3.3102
 162	 25.793	   0	 3.4785
 163	 26.514	   0	 2.5501
 164	 26.234	   0	 3.7479
 165	 26.147	   0	  3.662
 166	 25.497	   0	 4.3346
 167	 24.798	   0	 3.1764
 168	 24.492	   0	 3.1279
 169	 24.501	   0	 2.3737
 170	 24.268	   0	 2.2358
 171	 24.502	   0	 2.1859
 172	 24.498	   0	 2.1371
 173	 24.246	   0	 2.2047
 174	 24.673	   0	0.69025
 175	 24.651	   0	 1.3805
 176	 24.759	   0	 1.9588
 177	  24.89	   0	  2.065
 178	 25.073	   0	 1.8675
 179	 25.229	   0	 1.9569
 180	 25.439	   0	0.85778
 181	 25.269	   0	 1.6534
 182	 25.172	   0	  1.753
 183	 25.129	   0	 2.4371
 184	 25.318	   0	 2.0823
 185	 24.906	   0	 3.0712
 186	 24.898	   0	  3.216
 187	 25.589	   0	 1.6242
 188	 25.624	   0	 1.4118
 189	 25.481	   0	 1.9346
 190	 25.649	   0	 3.0158
 191	 25.528	   0	 2.2863
 192	 24.862	   0	 3.7914
 193	 24.348	   0	 3.3682
 194	  23.48	   0	 3.5361
 195	 22.609	   0	 3.8552
 196	 22.291	   0	 2.6261
 197	  22.08	   0	 2.6629
 198	 22.105	   0	  2.902
 199	 21.575	   0	  2.742
 200	 22.009	   0	 1.2092
 201	 22.022	   0	 2.0043
 202	  22.38	   0	 1.7711
 203	 22.644	   0	 2.0671
 204	 22.668	   0	  2.153
 205	 22.479	   0	 1.4678
 206	 21.965	   0	 2.4851
 207	 21.523	   0	 2.1892
 208	 21.055	   0	 2.2458
 209	 20.265	   0	  1.715
 210	 19.981	   0	 1.0338
 211	 20.027	   0	  1.777
 212	 20.246	   0	 1.7297
 213	  19.62	   0	 2.1306
 214	 19.693	   0	 2.1346
 215	 19.674	   0	 2.2324
 216	  20.54	   0	 1.9463
 217	 20.799	   0	 2.1251
 218	 20.663	   0	 3.2521
 219	 20.905	   0	 3.8365
 220	 20.896	   0	 2.4538
 221	 20.698	   0	 2.6153
 222	 20.963	   0	 1.5509
 223	  21.24	   0	 1.9123
 224	 21.719	   0	 1.3367
 225	  21.77	   0	 1.8783
 226	 22.519	   0	 1.8113
 227	 23.154	   0	 2.1593
 228	 23.596	   0	 2.2589
 229	 23.604	   0	 1.4689
 230	 23.029	   0	  1.318
 231	 23.268	   0	0.55331
 232	  22.63	   0	 1.5629
 233	 21.983	   0	 1.5059
 234	 21.295	   0	 1.3897
 235	 20.874	   0	 1.9904
 236	 21.224	   0	 2.6011
 237	 21.547	   0	 1.9501
 238	 21.346	   0	 2.3749
 239	 21.331	   0	 1.4976
 240	 21.145	   0	 2.1929
 241	 21.313	   0	 1.9177
 242	  21.38	   0	 2.3403
 243	 20.949	   0	 1.7473
 244	 20.646	   0	 1.3115
 245	 19.317	   0	 2.4359
 246	 18.645	   0	 1.9448
 247	 18.058	   0	 1.7828
 248	 17.794	   0	  1.635
 249	 17.465	   0	  1.926
 250	  17.12	   0	 1.5999
 251	 15.948	   0	 3.3921
 252	 15.168	   0	 2.1253
 253	 15.088	   0	  1.103
 254	 14.656	   0	  1.624
 255	 14.325	   0	 1.5237
 256	 13.837	   0	 2.3508
 257	 13.535	   0	 2.8465
 258	 13.317	   0	 3.2974
 259	 14.142	   0	  1.762
 260	 14.195	   0	 1.9852
 261	 14.756	   0	 2.2055
 262	 14.997	   0	 2.9754
 263	 15.392	   0	 2.7406
 264	 15.471	   0	 2.4629
 265	 15.871	   0	 2.3822
 266	 16.109	   0	 2.0446
 267	 17.213	   0	 2.4356
 268	 19.038	   0	 2.2442
 269	 20.446	   0	 2.2906
 270	 22.218	   0	 2.1348
 271	 23.553	   0	 2.0592
 272	 24.692	   0	 1.9315
 273	  25.69	   0	 1.8998
 274	 26.505	   0	 1.6623
 275	 27.118	   0	 1.1698
 276	 27.508	   0	 0.1229
 277	  27.46	   0	 1.3043
 278	 27.585	   0	 2.1562
 279	 28.062	   0	 2.1974
 280	 28.959	   0	 2.2284
 281	 29.291	   0	 2.7951
 282	 29.513	   0	 3.0215
 283	 29.843	   0	 3.5516
 284	 31.516	   0	 2.7674
 285	 32.945	   0	 2.6287
 286	 34.195	   0	 2.3603
 287	 35.189	   0	 2.4638
 288	 35.778	   0	 2.2688
 289	 36.429	   0	 2.4206
 290	 37.169	   0	 2.6105
 291	 37.949	   0	 2.6592
 292	 38.678	   0	 2.8244
 293	 39.404	   0	 2.9306
 294	 39.921	   0	 2.0357
 295	 39.921	   0	 3.1065
 296	 40.429	   0	 3.7121
 297	  41.43	   0	 2.9448
 298	 41.901	   0	 2.7666
 299	 42.004	   0	  2.682
 300	 41.564	   0	 3.7586
 301	 40.858	   0	 3.7309
 302	 39.868	   0	 3.6917
 303	 39.042	   0	  3.774
 304	 38.653	   0	 2.8427
 305	 38.758	   0	 2.9235
 306	 39.186	   0	 1.8667
 307	 39.108	   0	 2.7437
 308	 38.307	   0	 3.5303
 309	 36.841	   0	 3.3258
 310	 35.339	   0	 2.5526
 311	 34.529	   0	 1.9787
 312	 33.611	   0	 1.6383
 313	 33.409	   0	 1.7504
 314	  33.04	   0	 2.2356
 315	 32.563	   0	 2.5985
 316	  32.36	   0	 2.5779
 317	  33.37	   0	 1.8678
 318	 33.741	   0	 2.9879
 319	 34.455	   0	 3.0922
 320	 35.221	   0	 2.4694
 321	 35.397	   0	 2.9666
 322	 35.182	   0	 2.9221
 323	 34.285	   0	 3.8734
 324	 34.114	   0	 3.6159
 325	   34.3	   0	  3.528
 326	 33.931	   0	  3.949
 327	 33.655	   0	 3.5527
 328	 33.039	   0	 4.1924
 329	 32.487	   0	 3.4515
 330	 31.558	   0	 3.8635
 331	 30.517	   0	 4.1897
 332	 30.108	   0	 5.1731
 333	 30.241	   0	 4.4787
 334	 30.082	   0	 4.4709
 335	  29.58	   0	 4.7101
 336	 29.536	   0	 4.4045
 337	 29.919	   0	 3.5887
 338	  30.22	   0	 2.9252
 339	 30.094	   0	 2.8994
 340	 29.766	   0	 2.9373
 341	 29.436	   0	 2.7113
 342	 29.035	   0	 4.0515
 343	 28.744	   0	 3.8388
 344	 28.789	   0	 3.9845
 345	 29.257	   0	 2.6963
 346	 29.765	   0	 2.3516
 347	 30.263	   0	0.13463
 348	 30.242	   0	 1.4137
 349	 30.679	   0	 1.8872
 350	 31.365	   0	 1.8913
 351	 31.786	   0	 2.2363
 352	 32.247	   0	 1.6774
 353	 32.314	   0	 2.5034
 354	 32.349	   0	 2.8714
 355	 33.001	   0	 1.9365
 356	  33.01	   0	 3.8077
 357	 33.118	   0	 2.9521
 358	 33.116	   0	 2.6973
 359	 33.196	   0	 1.0527
 360	 33.612	   0	 2.7362
 361	 34.979	   0	 1.9573
 362	 35.712	   0	 2.6561
 363	 36.226	   0	 2.7627
 364	 36.426	   0	 2.6349
 365	 36.862	   0	 1.6505
 366	 36.356	   0	  1.408
 367	 35.685	   0	 1.7107
 368	 34.543	   0	 1.9634
 369	 33.314	   0	 2.3896
 370	 32.354	   0	 2.1742
 371	  31.35	   0	 1.8126
 372	 31.114	   0	 1.8311
 373	 31.346	   0	 1.2915
 374	  31.26	   0	 1.6621
 375	 30.715	   0	  2.678
 376	 30.157	   0	 2.8211
 377	 29.463	   0	 2.6741
 378	 28.786	   0	 2.2488
 379	 28.573	   0	 2.3345
 380	 27.398	   0	 2.8668
 381	 27.002	   0	 1.3897
 382	 26.586	   0	 1.4672
 383	  26.03	   0	 1.5327
 384	  25.17	   0	 2.0325
 385	 24.325	   0	 2.0379
 386	 23.332	   0	  2.093
 387	  22.34	   0	 2.3269
 388	 21.869	   0	 1.9249
 389	 21.426	   0	 1.8346
 390	 21.199	   0	 1.0669
 391	 20.937	   0	 1.1891
 392	 19.918	   0	 2.8931
 393	 19.049	   0	 2.8013
 394	 17.921	   0	 2.8059
 395	 16.834	   0	  2.442
 396	 15.409	   0	  2.703
 397	 14.197	   0	 2.2299
 398	 12.848	   0	 2.0982
 399	 11.521	   0	 2.6632
 400	   10.2	   0	 2.0977
 401	  8.462	   0	  2.283
 402	 6.7344	   0	 1.6874
 403	 5.9991	   0	 1.6678
 404	 5.3862	   0	 1.7001
 405	 5.0374	   0	 1.0301
 406	 5.0066	   0	0.22896
 407	 4.9453	   0	0.42361
 408	 4.3439	   0	 1.3636
 409	 3.7285	   0	 1.1086
 410	 2.9716	   0	  1.285
 411	  2.071	   0	 1.0318
 412	 1.1009	   0	0.34334
 413	 0.1145	   0	0.10352
 414	 0.1145	   0	      0
 415	0.050895	   0	0.34159
 416	2.226e-14	   0	0.29019
