   1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.22283
   4	0.029805	   0	0.33354
   5	0.074786	   0	0.24033
   6	0.10805	   0	0.10063
   7	0.12114	   0	0.33602
   8	0.17107	   0	 0.3033
   9	0.20435	   0	0.81224
  10	0.32667	   0	 1.2403
  11	0.52819	   0	0.63646
  12	0.63136	   0	 1.1606
  13	0.97835	   0	 1.3692
  14	  1.303	   0	 1.8837
  15	 1.9516	   0	 1.8467
  16	 2.5404	   0	0.15952
  17	 2.5637	   0	0.27426
  18	 2.6023	   0	0.26322
  19	 2.6395	   0	 1.3931
  20	  3.491	   0	 1.4368
  21	 4.3591	   0	 1.5613
  22	 5.1992	   0	 1.6269
  23	 5.5435	   0	 1.8369
  24	 6.3265	   0	 1.6614
  25	 6.9238	   0	  1.413
  26	 7.4258	   0	  1.303
  27	 7.8897	   0	 1.0666
  28	 8.8711	   0	0.82817
  29	 9.6724	   0	 1.0607
  30	 10.694	   0	 1.1416
  31	 11.616	   0	 1.2012
  32	 12.463	   0	 1.4898
  33	  13.51	   0	 1.4652
  34	 14.519	   0	 1.2824
  35	 14.825	   0	 1.2449
  36	 15.107	   0	0.42528
  37	 15.175	   0	 1.1332
  38	 15.384	   0	 1.2222
  39	 15.625	   0	0.77718
  40	 14.922	   0	 1.8443
  41	 14.341	   0	 1.7257
  42	  13.71	   0	 1.6228
  43	 13.024	   0	 1.1598
  44	 12.288	   0	 1.1102
  45	 11.471	   0	0.87267
  46	  10.42	   0	0.97265
  47	 10.244	   0	 1.8921
  48	 10.162	   0	 2.7547
  49	 10.219	   0	  2.499
  50	 10.256	   0	 2.4966
  51	 10.381	   0	 2.3002
  52	 10.249	   0	 3.1461
  53	  10.27	   0	 2.2121
  54	 10.023	   0	 2.2298
  55	 9.3629	   0	 2.0902
  56	 9.6327	   0	  1.955
  57	 10.029	   0	 1.5445
  58	 10.997	   0	 1.0205
  59	 12.043	   0	 1.0111
  60	 13.029	   0	 1.5125
  61	 13.588	   0	 3.3305
  62	 14.911	   0	 2.7026
  63	 15.468	   0	 1.2294
  64	  16.46	   0	  1.943
  65	 17.632	   0	 1.3827
  66	 18.579	   0	 1.4142
  67	 19.363	   0	 2.2202
  68	 20.089	   0	 2.5466
  69	 20.285	   0	0.71266
  70	 20.155	   0	 1.6324
  71	 20.757	   0	 1.4023
  72	 21.668	   0	 2.2497
  73	 22.945	   0	 1.3719
  74	 23.551	   0	 2.1931
  75	 24.891	   0	 2.9235
  76	 26.081	   0	 2.8668
  77	 27.202	   0	 1.7795
  78	 27.081	   0	 2.1403
  79	 27.883	   0	 2.1721
  80	  28.93	   0	 1.6951
  81	  29.28	   0	0.56024
  82	 29.194	   0	0.79307
  83	 30.203	   0	 1.3307
  84	 30.089	   0	 1.8924
  85	 30.183	   0	 2.1869
  86	 30.025	   0	 2.6409
  87	 29.767	   0	 1.6368
  88	 29.789	   0	 2.1395
  89	 29.645	   0	 1.1076
  90	 29.522	   0	0.77466
  91	 29.308	   0	0.92379
  92	 28.999	   0	 2.0611
  93	 28.974	   0	 1.8361
  94	 29.327	   0	 1.2522
  95	 29.302	   0	 1.7059
  96	  29.66	   0	  1.384
  97	 30.058	   0	 1.5153
  98	 29.816	   0	0.93094
  99	 29.419	   0	0.91821
 100	 28.837	   0	0.73872
 101	 27.995	   0	0.46782
 102	 27.159	   0	0.63316
 103	 27.006	   0	 1.1093
 104	 26.821	   0	 1.4084
 105	 26.748	   0	 1.5653
 106	 26.565	   0	0.31584
 107	 26.714	   0	0.60439
 108	 26.732	   0	0.72065
 109	 26.146	   0	 2.2949
 110	 25.673	   0	 1.9691
 111	 25.118	   0	 1.8716
 112	  24.54	   0	 1.7146
 113	 24.829	   0	 1.7674
 114	 24.608	   0	 1.6069
 115	 23.773	   0	 1.1818
 116	 22.531	   0	 1.1525
 117	 21.289	   0	 2.5309
 118	 21.721	   0	  1.321
 119	 21.896	   0	 1.4693
 120	 21.996	   0	 1.5426
 121	 22.474	   0	 1.6579
 122	 22.979	   0	 2.0031
 123	 23.594	   0	 2.4529
 124	 24.218	   0	 3.0095
 125	 24.753	   0	 2.7092
 126	 24.739	   0	 2.5533
 127	 25.117	   0	 2.6762
 128	 25.342	   0	 3.7398
 129	 25.487	   0	 3.0237
 130	 25.982	   0	 1.8971
 131	 26.549	   0	 1.6133
 132	 27.114	   0	 2.1081
 133	 27.838	   0	 1.2239
 134	 28.228	   0	 2.2854
 135	 28.675	   0	 2.3427
 136	 28.378	   0	 1.4299
 137	  28.48	   0	0.67634
 138	 28.265	   0	 1.9608
 139	 27.701	   0	 1.4588
 140	 26.885	   0	 1.4912
 141	 26.281	   0	 1.1858
 142	 25.626	   0	 1.0286
 143	 24.864	   0	 1.8268
 144	 25.325	   0	 1.0722
 145	 25.607	   0	  1.294
 146	 25.337	   0	 2.8557
 147	 25.627	   0	 2.2754
 148	 25.893	   0	 2.3169
 149	 25.012	   0	 3.8029
 150	 24.402	   0	 2.9085
 151	 22.815	   0	  1.566
 152	 23.046	   0	 1.0698
 153	 23.321	   0	0.61863
 154	 23.535	   0	0.76098
 155	 23.718	   0	0.77098
 156	 23.583	   0	 1.0438
 157	 24.109	   0	 1.4056
 158	 24.573	   0	 2.2659
 159	 24.981	   0	 2.2553
 160	  24.46	   0	 1.6213
 161	 24.002	   0	 1.5039
 162	 23.413	   0	 1.3427
 163	   22.7	   0	 1.1983
 164	 21.863	   0	 1.1322
 165	 21.758	   0	 1.4423
 166	 22.404	   0	  1.716
 167	 23.099	   0	 1.6229
 168	 23.253	   0	 2.2935
 169	 24.983	   0	0.98725
 170	 26.382	   0	 1.4708
 171	 27.503	   0	  2.749
 172	 28.567	   0	 2.0818
 173	 28.796	   0	 1.7967
 174	 29.158	   0	 1.8659
 175	 30.127	   0	 1.8829
 176	 30.835	   0	 2.3503
 177	 31.062	   0	 2.3195
 178	 31.406	   0	 2.1375
 179	 31.418	   0	 2.9625
 180	 30.658	   0	 2.4058
 181	 29.679	   0	 3.7015
 182	 29.292	   0	 3.7038
 183	 29.551	   0	 2.7555
 184	 29.631	   0	 1.4914
 185	 29.432	   0	 1.2958
 186	 28.889	   0	 1.1109
 187	 28.234	   0	 1.4962
 188	 27.742	   0	 1.9395
 189	 27.517	   0	 1.7324
 190	 27.209	   0	 1.6519
 191	 26.766	   0	 1.7006
 192	 26.273	   0	 1.1726
 193	 25.626	   0	0.91594
 194	 24.964	   0	 1.0312
 195	 25.182	   0	 1.9183
 196	 25.085	   0	 2.6094
 197	 24.952	   0	 2.2901
 198	 24.615	   0	0.97853
 199	 23.674	   0	0.57635
 200	 22.528	   0	 1.2728
 201	 21.708	   0	 1.4658
 202	 21.191	   0	 3.1369
 203	 20.334	   0	  4.306
 204	 19.852	   0	 2.9286
 205	 19.239	   0	 1.3638
 206	 18.111	   0	 1.9755
 207	 18.078	   0	 2.2802
 208	 18.287	   0	 1.6253
 209	 18.163	   0	 2.4631
 210	 18.174	   0	 1.0999
 211	  17.76	   0	 1.4826
 212	  17.29	   0	 2.4509
 213	 17.461	   0	 2.5417
 214	 17.755	   0	 1.1216
 215	 17.334	   0	 2.9992
 216	 17.418	   0	 1.7434
 217	 16.901	   0	 2.5457
 218	  17.29	   0	 2.3901
 219	 18.002	   0	 2.3735
 220	  18.59	   0	 2.6323
 221	 18.969	   0	 2.1787
 222	 19.131	   0	 1.4726
 223	 18.417	   0	 2.9398
 224	 18.221	   0	 2.8006
 225	 18.352	   0	 2.7176
 226	 18.223	   0	 3.2066
 227	 17.943	   0	  2.584
 228	 17.164	   0	 2.4388
 229	 17.749	   0	   2.28
 230	 17.463	   0	 2.1841
 231	 17.226	   0	 2.3829
 232	  17.57	   0	 2.4419
 233	 17.971	   0	 1.3295
 234	 18.431	   0	0.97315
 235	 19.216	   0	0.87189
 236	 19.903	   0	 1.3598
 237	 20.522	   0	 1.4614
 238	 21.247	   0	 1.2879
 239	 21.954	   0	 0.2928
 240	 21.948	   0	0.65454
 241	 22.061	   0	      0
 242	 21.886	   0	0.89047
 243	 21.662	   0	  1.617
 244	  21.45	   0	 1.6202
 245	 21.498	   0	0.12718
 246	  21.35	   0	 1.0416
 247	 21.373	   0	0.43489
 248	 20.661	   0	 1.3339
 249	 19.872	   0	0.83494
 250	 19.046	   0	 1.2645
 251	 18.449	   0	 1.1235
 252	 18.673	   0	 1.2496
 253	 18.934	   0	 2.1639
 254	 18.814	   0	 2.7675
 255	 18.389	   0	 2.1061
 256	  17.77	   0	 1.5032
 257	 16.871	   0	 1.6204
 258	 16.592	   0	 1.0219
 259	 16.592	   0	      0
 260	 16.283	   0	 1.5569
 261	 15.645	   0	 2.7592
 262	 15.194	   0	 2.0435
 263	 14.247	   0	0.99847
 264	 14.308	   0	0.082924
 265	 14.308	   0	      0
 266	 14.308	   0	0.53193
 267	 14.264	   0	  1.446
 268	  13.83	   0	  2.896
 269	 13.225	   0	 3.0271
 270	 13.216	   0	0.74748
 271	 13.834	   0	 2.3079
 272	 14.561	   0	 3.2875
 273	 15.101	   0	 2.9781
 274	 16.208	   0	 1.9013
 275	 17.159	   0	 1.6272
 276	 17.416	   0	 1.7314
 277	   17.2	   0	   3.18
 278	 17.204	   0	 2.8073
 279	 17.852	   0	 2.3096
 280	 18.164	   0	 2.2346
 281	  18.67	   0	 3.6493
 282	 19.504	   0	 3.1133
 283	  19.77	   0	 1.9235
 284	 19.577	   0	 3.5381
 285	 20.823	   0	 3.0834
 286	 21.797	   0	 2.6636
 287	 22.549	   0	   2.81
 288	 23.544	   0	 1.4806
 289	  24.09	   0	 1.6074
 290	 24.343	   0	 2.9017
 291	 25.497	   0	 2.0356
 292	 25.982	   0	 2.3078
 293	 26.918	   0	 1.7153
 294	  27.44	   0	 1.9827
 295	 27.143	   0	 2.4354
 296	 27.527	   0	  2.369
 297	 27.816	   0	 3.4536
 298	 28.976	   0	 2.5355
 299	 29.755	   0	  2.182
 300	 30.071	   0	 2.0476
 301	 29.946	   0	 3.0961
 302	 30.018	   0	 3.3109
 303	 30.821	   0	  2.817
 304	 31.807	   0	  2.803
 305	 32.779	   0	 3.3955
 306	 33.689	   0	 3.4768
 307	 34.264	   0	 3.1371
 308	 34.343	   0	 3.7284
 309	  34.52	   0	 3.3998
 310	 34.869	   0	 2.7545
 311	 35.336	   0	 1.8155
 312	 35.208	   0	 2.0628
 313	 34.945	   0	 1.8515
 314	 34.028	   0	 2.8028
 315	 33.255	   0	 2.8986
 316	 32.419	   0	 3.2898
 317	 32.471	   0	 1.2734
 318	 32.626	   0	  1.006
 319	 33.193	   0	 1.9689
 320	 34.456	   0	 1.8253
 321	 35.634	   0	  1.843
 322	 36.119	   0	 2.2351
 323	 35.877	   0	 2.6107
 324	 36.128	   0	 2.7824
 325	 36.376	   0	 2.5441
 326	 36.543	   0	 2.3026
 327	 36.479	   0	 2.5856
 328	 36.279	   0	 2.3936
 329	   35.8	   0	 2.0811
 330	 35.307	   0	  2.899
 331	 35.719	   0	 2.0089
 332	  35.15	   0	 2.4487
 333	 34.513	   0	 2.6203
 334	 33.829	   0	  2.705
 335	 32.807	   0	 2.5906
 336	 31.851	   0	 1.9215
 337	 30.578	   0	 1.7454
 338	 28.164	   0	 2.6276
 339	 26.958	   0	 2.0793
 340	 25.663	   0	 2.3945
 341	 24.097	   0	 2.1477
 342	 23.189	   0	 1.9163
 343	 22.493	   0	  1.869
 344	  22.52	   0	 1.9148
 345	 23.195	   0	 1.3009
 346	 23.247	   0	 2.2786
 347	 23.819	   0	  1.447
 348	 24.034	   0	 1.1942
 349	 23.798	   0	  2.097
 350	 22.961	   0	 2.6837
 351	  21.98	   0	 2.3646
 352	 21.522	   0	 1.0352
 353	 21.364	   0	0.90272
 354	 20.849	   0	 1.3974
 355	 20.291	   0	 1.4903
 356	 20.228	   0	0.57437
 357	 19.585	   0	 1.3706
 358	 18.865	   0	 1.3405
 359	 17.509	   0	 1.3284
 360	 16.327	   0	  1.369
 361	 15.642	   0	  1.618
 362	 14.858	   0	 1.8436
 363	 14.569	   0	 2.0599
 364	 13.556	   0	 1.5353
 365	  12.32	   0	 1.8017
 366	 11.151	   0	  1.182
 367	 10.222	   0	 1.0726
 368	 9.3677	   0	 1.2137
 369	 9.0365	   0	 2.0672
 370	  9.002	   0	 2.4308
 371	 9.0442	   0	 1.4833
 372	 8.7191	   0	 2.5579
 373	 8.7892	   0	 2.8126
 374	 8.9394	   0	 2.3845
 375	 9.0471	   0	 2.1397
 376	 8.8629	   0	 1.5139
 377	 8.0526	   0	  1.283
 378	 7.4644	   0	 2.4279
 379	 8.3314	   0	 2.2873
 380	 9.2022	   0	 1.5089
 381	 9.8197	   0	 1.9936
 382	 10.382	   0	 2.6267
 383	 10.441	   0	 2.3405
 384	 10.398	   0	 2.2947
 385	 10.587	   0	 1.1925
 386	 11.287	   0	 1.5626
 387	 11.868	   0	0.77086
 388	 12.869	   0	 1.6198
 389	 13.819	   0	 1.7786
 390	 14.671	   0	 1.3438
 391	 15.097	   0	 1.6072
 392	  15.43	   0	 1.5776
 393	  15.78	   0	 1.3026
 394	 16.066	   0	 1.6198
 395	 16.541	   0	 1.5501
 396	 17.082	   0	 2.2503
 397	 17.376	   0	 1.8341
 398	   17.7	   0	 1.2688
 399	 18.294	   0	 1.1044
 400	 18.855	   0	 1.1314
 401	 19.378	   0	0.34464
 402	 19.383	   0	0.57437
 403	 19.288	   0	0.93882
 404	 19.948	   0	0.96061
 405	 20.798	   0	  1.019
 406	 21.498	   0	 1.1658
 407	  22.09	   0	 1.4222
 408	  22.59	   0	0.74693
 409	 22.043	   0	 1.5781
 410	 21.475	   0	   1.41
 411	 20.943	   0	 1.6108
 412	 20.419	   0	 2.1708
 413	 19.944	   0	 1.2889
 414	 19.396	   0	 1.7658
 415	  18.81	   0	 1.7614
 416	   18.1	   0	  1.827
 417	  17.55	   0	 1.2327
 418	  16.96	   0	 1.1053
 419	 16.031	   0	 1.5484
 420	 16.021	   0	0.97879
 421	 16.076	   0	      0
 422	 15.997	   0	0.45492
 423	 15.917	   0	0.46134
 424	 15.876	   0	0.50294
 425	 15.878	   0	0.38415
 426	 15.717	   0	 1.7158
 427	 15.497	   0	 1.4377
 428	 15.067	   0	 1.6075
 429	 14.717	   0	 1.8732
 430	 14.592	   0	 1.0704
 431	 14.424	   0	 2.3445
 432	 14.014	   0	 2.0402
 433	 13.177	   0	   1.43
 434	  12.35	   0	 2.1902
 435	 12.754	   0	 2.3952
 436	 13.036	   0	 2.1746
 437	 12.824	   0	 1.8307
 438	 12.678	   0	 1.4497
 439	 13.283	   0	 1.6254
 440	 13.736	   0	 2.0302
 441	  14.16	   0	 1.7139
 442	 14.754	   0	0.50638
 443	 14.484	   0	 1.6561
 444	 14.439	   0	 1.6743
 445	 14.525	   0	 1.7283
 446	 15.153	   0	 1.4042
 447	 15.806	   0	0.29118
 448	 15.763	   0	0.68105
 449	 15.632	   0	0.94326
 450	 15.259	   0	 1.8771
 451	 14.795	   0	 2.1344
 452	 13.762	   0	 1.7488
 453	 12.466	   0	 1.6091
 454	  10.81	   0	 1.7939
 455	 10.214	   0	 1.8595
 456	 10.021	   0	 1.1917
 457	 9.1428	   0	 1.8971
 458	 8.7692	   0	 1.3453
 459	  8.572	   0	   1.45
 460	 8.2124	   0	0.95868
 461	 7.8173	   0	 1.8195
 462	 7.1911	   0	 1.7352
 463	 6.2254	   0	  1.322
 464	 5.1663	   0	  1.315
 465	 4.3222	   0	0.76772
 466	 4.2958	   0	0.17587
 467	 4.2492	   0	  0.316
 468	 3.8602	   0	 1.2297
 469	  3.444	   0	  1.146
 470	 2.9894	   0	 1.1473
 471	 2.3325	   0	 1.4838
 472	 2.3325	   0	      0
 473	 2.3325	   0	      0
 474	 2.0422	   0	0.86912
 475	 1.6714	   0	 1.0191
 476	 1.1833	   0	 1.0764
 477	0.47956	   0	0.87665
 478	3.8192e-14	   0	0.99879
