   1	      0	   0	      0
   2	      0	   0	0.12857
   3	0.017742	   0	0.13525
   4	0.036648	   0	 0.1045
   5	0.050361	   0	      0
   6	0.050361	   0	      0
   7	0.050361	   0	      0
   8	0.050361	   0	      0
   9	0.050361	   0	      0
  10	0.050361	   0	0.097363
  11	0.062927	   0	0.33471
  12	0.11451	   0	0.20823
  13	 0.1473	   0	      0
  14	 0.1473	   0	0.29133
  15	0.19847	   0	0.30627
  16	0.25322	   0	0.77559
  17	0.37644	   0	  1.505
  18	 1.9523	   0	 2.1414
  19	 3.0967	   0	 2.0677
  20	 3.9824	   0	 1.7228
  21	  4.534	   0	 1.6552
  22	 4.9724	   0	 1.0444
  23	 5.2201	   0	 1.9952
  24	 5.6592	   0	 2.6328
  25	 6.1778	   0	 2.8032
  26	 6.2941	   0	 2.2686
  27	 6.3298	   0	 2.3838
  28	 6.3439	   0	 2.4066
  29	 6.2691	   0	 1.8782
  30	 6.5058	   0	 1.7859
  31	 7.4572	   0	 2.5382
  32	 8.6469	   0	 2.4855
  33	 9.2775	   0	 2.0119
  34	 10.637	   0	 1.7364
  35	 11.913	   0	 1.9871
  36	  13.04	   0	 2.0438
  37	 13.955	   0	 1.6876
  38	 14.569	   0	 2.5942
  39	 15.583	   0	 1.6783
  40	 16.387	   0	 1.7549
  41	 17.281	   0	 1.8058
  42	   18.1	   0	 1.6989
  43	 18.861	   0	 1.4126
  44	 19.561	   0	0.98875
  45	 20.043	   0	0.64193
  46	 19.967	   0	 1.6301
  47	 20.341	   0	 1.4908
  48	 21.117	   0	 2.2162
  49	 21.663	   0	 1.8659
  50	 21.888	   0	0.43886
  51	 21.346	   0	 2.5377
  52	 21.164	   0	 2.7317
  53	 20.959	   0	 1.9734
  54	 20.634	   0	 1.5619
  55	 20.119	   0	 1.2367
  56	 19.412	   0	 1.3033
  57	 19.069	   0	 1.9562
  58	 19.345	   0	 2.4694
  59	 20.005	   0	 1.5218
  60	 20.091	   0	  2.337
  61	 20.619	   0	 2.3355
  62	 21.022	   0	 2.4958
  63	 21.006	   0	 3.1514
  64	 21.598	   0	 3.1326
  65	 22.228	   0	 2.0779
  66	 22.827	   0	  1.804
  67	 23.169	   0	 1.9404
  68	 23.433	   0	 2.2978
  69	 24.005	   0	 2.2977
  70	 24.046	   0	 2.4176
  71	 24.145	   0	 2.6926
  72	 24.282	   0	 2.7753
  73	 23.861	   0	  2.829
  74	 23.577	   0	 2.5888
  75	 23.214	   0	 2.1812
  76	 22.606	   0	 1.8149
  77	  21.88	   0	  2.775
  78	 21.353	   0	 3.1627
  79	 21.387	   0	 2.6224
  80	  20.91	   0	 2.7948
  81	 20.779	   0	 2.6041
  82	 21.048	   0	0.30629
  83	 20.377	   0	  2.034
  84	 19.251	   0	 1.7455
  85	 17.644	   0	 1.6354
  86	  17.38	   0	 1.2614
  87	  17.13	   0	 1.0874
  88	 16.867	   0	0.84707
  89	 15.798	   0	 2.9803
  90	 15.054	   0	 3.5825
  91	 14.525	   0	 3.1228
  92	 13.799	   0	 4.2061
  93	 13.144	   0	 3.8838
  94	 13.118	   0	 1.4655
  95	 13.374	   0	   1.67
  96	 12.735	   0	 1.8113
  97	 12.547	   0	 2.5576
  98	  13.24	   0	 2.0198
  99	 14.343	   0	 1.0416
 100	  14.81	   0	 1.7909
 101	 14.688	   0	 1.4477
 102	 15.064	   0	 2.4664
 103	 15.326	   0	 2.7367
 104	 15.484	   0	 2.3969
 105	 15.054	   0	 2.3855
 106	 15.307	   0	 2.5833
 107	 16.142	   0	  1.457
 108	 16.626	   0	 1.7646
 109	 16.299	   0	 2.8228
 110	 16.844	   0	 1.6099
 111	 17.027	   0	0.61898
 112	 16.311	   0	 2.8416
 113	 15.466	   0	 2.5859
 114	 15.554	   0	 1.0307
 115	 15.584	   0	0.12749
 116	 15.503	   0	0.45567
 117	 15.353	   0	 1.0921
 118	 15.317	   0	0.43568
 119	 15.135	   0	 1.4603
 120	 15.022	   0	 1.4017
 121	 15.077	   0	      0
 122	 15.077	   0	      0
 123	 15.077	   0	0.43367
 124	 15.072	   0	 0.8973
 125	 15.081	   0	0.86218
 126	 15.172	   0	      0
 127	 15.172	   0	0.19996
 128	 15.204	   0	0.085479
 129	 15.198	   0	0.20942
 130	 15.125	   0	  2.387
 131	 15.526	   0	0.35972
 132	 15.128	   0	 1.8731
 133	 15.872	   0	 1.3321
 134	 15.707	   0	 1.6073
 135	  15.35	   0	 1.8107
 136	 15.731	   0	  1.657
 137	  16.79	   0	 1.2523
 138	  16.99	   0	 2.0176
 139	 17.052	   0	 1.9085
 140	  17.19	   0	 1.3527
 141	 18.165	   0	0.84248
 142	 17.654	   0	 1.2905
 143	 17.097	   0	0.98489
 144	 16.805	   0	 1.0491
 145	 17.282	   0	0.18572
 146	  17.17	   0	 1.6929
 147	 17.243	   0	 2.2182
 148	 17.329	   0	  2.004
 149	 17.319	   0	 2.0096
 150	  17.58	   0	 1.6491
 151	 17.857	   0	 1.6302
 152	 17.342	   0	 1.9461
 153	 16.906	   0	 1.3111
 154	 16.313	   0	  1.571
 155	 15.466	   0	 1.3425
 156	 15.581	   0	 0.8066
 157	 15.603	   0	  1.116
 158	 15.568	   0	 2.2271
 159	 16.265	   0	 2.1659
 160	  16.15	   0	    3.2
 161	 16.162	   0	 2.5405
 162	 16.378	   0	 2.5689
 163	 16.131	   0	 2.7582
 164	 15.797	   0	 2.1727
 165	 15.211	   0	 2.0052
 166	 15.921	   0	 1.3761
 167	 16.615	   0	 1.3714
 168	 17.424	   0	 1.3202
 169	 18.287	   0	 2.0755
 170	 19.863	   0	 1.5212
 171	 20.816	   0	 1.8214
 172	 21.238	   0	 1.7264
 173	 21.648	   0	  1.721
 174	 21.996	   0	 1.7173
 175	 22.422	   0	 1.0603
 176	 22.022	   0	 1.8993
 177	 21.694	   0	 1.6161
 178	 21.005	   0	 1.2273
 179	 20.238	   0	 1.3098
 180	 19.685	   0	 1.5279
 181	 19.091	   0	 1.9817
 182	 18.951	   0	 1.8033
 183	  19.21	   0	 2.3938
 184	 19.379	   0	 2.7604
 185	 19.628	   0	  2.016
 186	 19.606	   0	 1.8488
 187	 19.475	   0	 1.6543
 188	 19.381	   0	 2.1498
 189	 19.222	   0	  2.126
 190	 19.484	   0	 2.7995
 191	 19.831	   0	 1.8144
 192	 20.013	   0	0.95378
 193	 19.485	   0	 2.5113
 194	 19.039	   0	 2.0208
 195	 18.614	   0	 2.0092
 196	 18.481	   0	 1.9044
 197	 18.325	   0	 2.7305
 198	 18.728	   0	 2.7333
 199	 19.078	   0	 2.8875
 200	 19.381	   0	  2.429
 201	 19.585	   0	 1.9438
 202	 20.037	   0	 2.1182
 203	 20.221	   0	 2.2646
 204	 20.001	   0	  1.957
 205	 20.066	   0	 2.5262
 206	 20.125	   0	 1.9351
 207	 20.025	   0	  2.785
 208	 20.789	   0	 2.4942
 209	 22.054	   0	 1.8714
 210	  22.32	   0	 3.1023
 211	 23.135	   0	 1.9348
 212	 24.165	   0	 2.6231
 213	 24.693	   0	 2.3981
 214	 24.616	   0	 3.2976
 215	 25.027	   0	 4.1593
 216	 25.361	   0	 3.1675
 217	 25.566	   0	  1.518
 218	 25.092	   0	 1.8691
 219	 24.093	   0	 1.2917
 220	 22.888	   0	 2.5338
 221	 22.471	   0	 2.7918
 222	 22.092	   0	  1.836
 223	  21.04	   0	 2.5414
 224	 20.293	   0	 2.5964
 225	 20.449	   0	 2.5723
 226	 20.699	   0	 3.0783
 227	 21.037	   0	  2.808
 228	  21.41	   0	 2.5097
 229	 21.787	   0	 2.9584
 230	 21.865	   0	 3.4615
 231	 22.763	   0	 1.9779
 232	 23.605	   0	0.74622
 233	 23.524	   0	0.99088
 234	  23.35	   0	 1.0938
 235	 24.028	   0	 1.3021
 236	 24.383	   0	  2.369
 237	  24.47	   0	 2.1147
 238	 24.879	   0	 1.8802
 239	 24.493	   0	 1.8655
 240	 24.918	   0	 1.8642
 241	 25.632	   0	 1.8705
 242	 26.535	   0	 2.1222
 243	 26.799	   0	 2.8882
 244	 26.441	   0	 2.4443
 245	  25.98	   0	 2.0798
 246	 24.943	   0	 1.7509
 247	 24.161	   0	 1.3345
 248	 23.354	   0	 1.4913
 249	 22.651	   0	 1.5462
 250	 21.984	   0	 1.6181
 251	 21.409	   0	  1.422
 252	 20.779	   0	 1.4842
 253	 20.244	   0	 1.0323
 254	 20.431	   0	0.45055
 255	 19.894	   0	 2.2172
 256	  19.35	   0	 2.4561
 257	 18.842	   0	 2.4424
 258	 18.286	   0	 2.3487
 259	 17.171	   0	  2.682
 260	 16.118	   0	 2.6106
 261	 15.686	   0	 1.9788
 262	  15.31	   0	 2.2369
 263	 14.876	   0	 2.7648
 264	 14.461	   0	 2.7531
 265	 14.104	   0	 2.0397
 266	 13.226	   0	 1.5623
 267	 12.738	   0	 1.4404
 268	 13.227	   0	 1.6524
 269	 12.911	   0	 2.6415
 270	 12.489	   0	 2.5892
 271	 12.432	   0	 2.3101
 272	 12.635	   0	 1.5783
 273	 13.333	   0	 1.0435
 274	  13.42	   0	 2.2726
 275	 13.637	   0	 1.6848
 276	 14.053	   0	 3.4341
 277	 14.742	   0	 4.1787
 278	  15.69	   0	 3.5948
 279	 16.669	   0	 3.6752
 280	  16.79	   0	 2.9027
 281	 17.112	   0	 3.3176
 282	 17.443	   0	 3.5188
 283	 17.567	   0	 2.2324
 284	 17.618	   0	 1.6125
 285	 17.128	   0	 2.0592
 286	 16.582	   0	 1.8567
 287	 16.068	   0	 1.6779
 288	 15.523	   0	 1.6782
 289	 15.087	   0	 1.5208
 290	 14.642	   0	 2.2275
 291	 14.972	   0	 2.2788
 292	 15.258	   0	  2.114
 293	 14.661	   0	 2.0312
 294	 13.952	   0	  2.164
 295	 13.341	   0	 1.6761
 296	 12.704	   0	 1.9704
 297	 12.533	   0	 1.3542
 298	 12.545	   0	 1.0902
 299	  12.66	   0	 2.0696
 300	 12.849	   0	 2.4289
 301	 13.201	   0	 1.7794
 302	  13.25	   0	 1.8696
 303	 13.079	   0	 1.5803
 304	 12.802	   0	 1.3224
 305	 12.466	   0	 1.2046
 306	 12.387	   0	 1.7154
 307	 12.817	   0	 1.7131
 308	 13.314	   0	 1.6001
 309	 13.597	   0	 1.5394
 310	 13.942	   0	 1.5367
 311	 13.902	   0	 1.5193
 312	 13.879	   0	 1.3749
 313	 14.641	   0	0.81631
 314	 15.205	   0	 1.3966
 315	 15.649	   0	 1.9191
 316	 15.986	   0	 2.6781
 317	  16.17	   0	  1.558
 318	 16.082	   0	0.88991
 319	 15.879	   0	 1.4879
 320	 15.799	   0	0.86949
 321	 15.657	   0	0.92693
 322	 15.657	   0	      0
 323	 15.657	   0	      0
 324	 15.194	   0	 1.6083
 325	 14.296	   0	 1.5427
 326	 13.295	   0	 2.4185
 327	 13.179	   0	 2.6002
 328	 13.491	   0	 1.5604
 329	 14.117	   0	 2.1822
 330	 13.765	   0	 1.8147
 331	 13.014	   0	 1.9688
 332	 12.447	   0	  2.102
 333	 12.148	   0	 2.0486
 334	  12.49	   0	 2.3383
 335	 12.979	   0	 1.8331
 336	  13.19	   0	0.99997
 337	 13.503	   0	 1.6361
 338	 13.647	   0	  2.178
 339	 13.831	   0	 2.0369
 340	 13.267	   0	 1.4101
 341	  12.38	   0	 1.2239
 342	 11.918	   0	 2.0513
 343	 12.247	   0	 2.9361
 344	 12.442	   0	 2.3789
 345	 12.312	   0	 1.9797
 346	 12.551	   0	 1.7866
 347	 12.393	   0	  1.042
 348	 12.513	   0	 2.0391
 349	 13.263	   0	 1.6805
 350	 14.012	   0	  1.441
 351	 14.603	   0	0.51274
 352	 14.674	   0	 1.1915
 353	 14.893	   0	0.94934
 354	  15.07	   0	0.11092
 355	  15.07	   0	0.73552
 356	 15.216	   0	0.53228
 357	 15.321	   0	 1.2118
 358	 16.066	   0	0.80562
 359	 16.752	   0	0.87519
 360	 17.234	   0	 2.0716
 361	 18.091	   0	 1.8372
 362	 18.414	   0	 2.3857
 363	 18.388	   0	 1.7238
 364	 17.945	   0	 2.3138
 365	 17.279	   0	 2.2443
 366	 16.684	   0	 1.4001
 367	 16.568	   0	0.96951
 368	 16.113	   0	 1.2107
 369	 15.657	   0	  1.195
 370	 15.648	   0	0.99146
 371	 15.218	   0	 1.4183
 372	  14.68	   0	 1.8218
 373	 14.749	   0	 2.1025
 374	 15.489	   0	 2.1488
 375	 16.314	   0	 2.0991
 376	 16.474	   0	  1.687
 377	 16.377	   0	 1.4801
 378	 15.748	   0	 2.6871
 379	 15.897	   0	 3.0381
 380	 15.877	   0	 2.9447
 381	 15.704	   0	 2.1972
 382	 15.079	   0	 2.3758
 383	 14.432	   0	 1.9428
 384	  13.55	   0	 1.4617
 385	 12.744	   0	 1.3333
 386	 12.596	   0	 1.5637
 387	 12.575	   0	 1.2613
 388	 12.419	   0	 1.2099
 389	 12.163	   0	 2.1187
 390	 12.394	   0	 2.3015
 391	  12.63	   0	  1.861
 392	 12.706	   0	 1.2675
 393	 12.403	   0	 2.7027
 394	 12.342	   0	 2.5041
 395	 12.338	   0	 2.5953
 396	 12.437	   0	 2.6592
 397	 12.571	   0	 2.5463
 398	  12.65	   0	 2.3505
 399	 12.722	   0	 1.8903
 400	 12.829	   0	  1.481
 401	 13.107	   0	 1.8348
 402	 12.889	   0	 2.2271
 403	 12.843	   0	 2.5969
 404	 13.285	   0	 1.5087
 405	 13.719	   0	  1.576
 406	 14.082	   0	 2.3035
 407	 14.879	   0	 1.8186
 408	 15.772	   0	 1.5846
 409	 16.218	   0	0.60956
 410	 16.311	   0	0.27448
 411	 16.274	   0	0.85298
 412	 16.309	   0	0.86764
 413	 16.344	   0	 1.6582
 414	 16.707	   0	 2.0909
 415	 16.682	   0	  2.853
 416	 17.027	   0	 2.0425
 417	 16.826	   0	 1.2537
 418	 16.116	   0	0.89662
 419	 15.559	   0	 1.0803
 420	 15.573	   0	0.89764
 421	 15.679	   0	 1.0989
 422	 15.803	   0	0.56968
 423	 15.852	   0	0.27648
 424	 15.491	   0	 1.5228
 425	 15.282	   0	 1.9495
 426	  15.08	   0	 1.8576
 427	 14.972	   0	0.59286
 428	 14.787	   0	0.95279
 429	 15.206	   0	0.87286
 430	 15.884	   0	 1.0568
 431	 16.119	   0	 1.6022
 432	  16.37	   0	 1.7459
 433	 15.656	   0	 2.0404
 434	 15.444	   0	 2.1702
 435	  15.47	   0	 2.0078
 436	  15.64	   0	 2.5154
 437	 15.382	   0	 2.9433
 438	 14.998	   0	 2.9094
 439	 15.157	   0	 2.1575
 440	 15.587	   0	 1.3208
 441	 15.835	   0	 1.0326
 442	 16.196	   0	0.66769
 443	 16.566	   0	0.72753
 444	 16.911	   0	 1.0585
 445	 17.275	   0	 1.4491
 446	 17.674	   0	 1.5858
 447	  18.27	   0	0.83452
 448	 18.994	   0	 1.9665
 449	 19.545	   0	 1.6353
 450	 19.991	   0	 1.5569
 451	 20.291	   0	 1.3224
 452	 20.037	   0	 1.6414
 453	 18.864	   0	 1.8639
 454	 18.119	   0	 1.8541
 455	 17.603	   0	 1.7832
 456	 17.361	   0	  1.439
 457	 16.949	   0	  1.404
 458	 16.437	   0	 1.1673
 459	 15.811	   0	 1.5299
 460	 15.265	   0	 1.8632
 461	 14.665	   0	 2.4154
 462	 14.227	   0	 2.4213
 463	 13.747	   0	 2.4624
 464	 13.257	   0	 2.1522
 465	 12.744	   0	 1.9393
 466	 13.021	   0	0.83263
 467	 12.436	   0	 1.2617
 468	 11.672	   0	 1.3035
 469	 10.831	   0	 1.4769
 470	 10.897	   0	  1.193
 471	 11.608	   0	 2.1829
 472	 12.619	   0	 3.0465
 473	 13.416	   0	 3.0385
 474	 13.853	   0	 2.5276
 475	 14.203	   0	 2.6487
 476	 14.433	   0	 1.8136
 477	 15.618	   0	 0.9317
 478	 16.718	   0	 1.4724
 479	 17.746	   0	 1.3742
 480	 18.605	   0	 1.1581
 481	 19.316	   0	 1.5955
 482	 19.864	   0	 2.8493
 483	  20.38	   0	 3.4171
 484	 20.807	   0	  2.155
 485	 21.153	   0	 1.6271
 486	 21.454	   0	 0.7139
 487	  21.54	   0	0.83199
 488	 21.564	   0	0.69469
 489	 21.563	   0	 1.2428
 490	  21.66	   0	0.36242
 491	 21.593	   0	 1.1315
 492	 21.719	   0	0.64767
 493	 21.304	   0	 2.7928
 494	 21.108	   0	 2.6038
 495	 21.245	   0	 1.6722
 496	 21.138	   0	 1.4286
 497	 20.917	   0	 1.2169
 498	 20.457	   0	 1.0679
 499	 19.937	   0	0.93369
 500	 19.444	   0	  1.052
 501	 19.169	   0	  2.447
 502	 18.505	   0	 2.8616
 503	 18.306	   0	 2.2702
 504	  17.99	   0	  3.395
 505	 17.533	   0	 3.1147
 506	 16.957	   0	   3.14
 507	 16.312	   0	 2.5729
 508	 16.037	   0	 1.5964
 509	 15.762	   0	 1.3491
 510	 15.338	   0	 1.7533
 511	 15.573	   0	 2.1019
 512	  15.91	   0	 2.5065
 513	 16.305	   0	 2.3888
 514	 16.768	   0	 1.8662
 515	 16.685	   0	 2.2085
 516	  16.81	   0	 3.0706
 517	 17.039	   0	 3.4558
 518	 17.601	   0	 1.8774
 519	 18.163	   0	 2.0169
 520	 18.596	   0	 2.1673
 521	  19.02	   0	 2.3518
 522	 19.449	   0	 2.5841
 523	  19.43	   0	 1.8357
 524	 19.112	   0	 2.3163
 525	  18.73	   0	 1.3389
 526	 18.924	   0	 1.2984
 527	 19.238	   0	 1.3408
 528	 19.638	   0	 1.3058
 529	 19.048	   0	 2.2582
 530	 18.793	   0	 2.3252
 531	 18.411	   0	 2.3036
 532	 18.123	   0	 1.5155
 533	 17.307	   0	0.73452
 534	 16.404	   0	0.60717
 535	 16.384	   0	0.14125
 536	 15.622	   0	 1.6849
 537	 14.793	   0	 1.8263
 538	 13.995	   0	 1.8354
 539	 13.655	   0	 1.4729
 540	  12.76	   0	 1.6711
 541	 11.982	   0	 1.2893
 542	 11.242	   0	 1.0957
 543	 11.215	   0	0.17926
 544	 11.084	   0	0.62726
 545	 10.971	   0	0.50739
 546	 10.236	   0	 1.2394
 547	 9.5225	   0	0.98286
 548	 8.7552	   0	0.99802
 549	 7.9581	   0	0.83293
 550	 7.0099	   0	0.95953
 551	 6.0929	   0	 1.1626
 552	  5.243	   0	 1.3192
 553	 4.9958	   0	0.80682
 554	 4.3775	   0	 1.7741
 555	 3.6888	   0	 1.9105
 556	 2.9971	   0	 1.5094
 557	 2.1522	   0	  1.449
 558	 1.2597	   0	 1.3815
 559	0.68653	   0	0.98448
 560	 0.4214	   0	0.83438
 561	0.30461	   0	0.59836
 562	0.17766	   0	0.54901
 563	8.1324e-15	   0	0.67494
 564	8.1324e-15	   0	      0
