   1	      0	   0	      0
   2	      0	   0	0.18181
   3	0.027523	   0	0.82614
   4	0.18326	   0	 1.1767
   5	0.57417	   0	 1.4763
   6	 1.3438	   0	 1.4651
   7	 1.9494	   0	 1.0782
   8	 2.3828	   0	0.94853
   9	 2.7322	   0	 1.0303
  10	 3.0103	   0	 1.5906
  11	 3.3739	   0	 1.9463
  12	 3.8538	   0	 2.2067
  13	  4.599	   0	 1.9879
  14	 5.3111	   0	 1.7713
  15	 6.3157	   0	 1.6014
  16	 6.8355	   0	 1.8284
  17	 8.3612	   0	  1.885
  18	 9.5584	   0	 1.4106
  19	  9.963	   0	0.87812
  20	 10.603	   0	 1.8324
  21	 12.603	   0	 2.2348
  22	 14.001	   0	 2.1499
  23	 15.377	   0	 2.3706
  24	 16.771	   0	 1.4685
  25	 17.293	   0	      2
  26	  18.05	   0	 2.2333
  27	 18.788	   0	 1.8303
  28	   20.2	   0	 2.6469
  29	 21.823	   0	 2.2381
  30	 23.292	   0	 2.4481
  31	 24.407	   0	 2.4888
  32	 25.159	   0	 2.4717
  33	 26.019	   0	 1.6416
  34	 26.363	   0	  1.042
  35	 26.578	   0	 1.6261
  36	 26.823	   0	 2.3764
  37	 27.046	   0	 2.5348
  38	 27.192	   0	 2.9363
  39	 27.512	   0	 2.7388
  40	 27.762	   0	 2.5216
  41	 28.008	   0	 1.8873
  42	 28.492	   0	 1.6652
  43	 28.764	   0	 1.2815
  44	 28.815	   0	 1.4673
  45	 29.762	   0	 1.7861
  46	 31.118	   0	 1.2287
  47	 32.073	   0	 1.6095
  48	 32.643	   0	 1.9633
  49	 33.159	   0	 2.7541
  50	 34.154	   0	 2.5317
  51	 34.934	   0	 1.8725
  52	 35.336	   0	 2.0636
  53	 35.809	   0	 2.1094
  54	 36.363	   0	 1.8156
  55	  36.86	   0	 1.8875
  56	 36.882	   0	 1.7207
  57	 36.616	   0	 2.5662
  58	 36.919	   0	 1.9272
  59	 36.815	   0	 2.3488
  60	 36.386	   0	 1.9682
  61	  35.73	   0	 1.9598
  62	 35.205	   0	 2.3175
  63	 34.676	   0	 2.3456
  64	 34.309	   0	 2.4062
  65	 33.883	   0	 2.3765
  66	 33.731	   0	 1.8582
  67	 33.548	   0	 2.1879
  68	 33.041	   0	  2.145
  69	 32.561	   0	 2.4266
  70	 31.994	   0	 2.0138
  71	 31.108	   0	 3.1837
  72	 30.456	   0	 2.0964
  73	 29.802	   0	 1.6114
  74	 29.023	   0	 1.5249
  75	 28.146	   0	 1.5232
  76	 27.742	   0	  1.884
  77	 27.245	   0	 2.2136
  78	 26.729	   0	 1.7404
  79	  26.68	   0	 2.0459
  80	 25.716	   0	 2.3865
  81	  24.43	   0	 2.2856
  82	 23.857	   0	   2.83
  83	 24.598	   0	 2.8904
  84	 25.213	   0	 2.7586
  85	 25.321	   0	 2.5672
  86	 24.695	   0	 2.3263
  87	 24.469	   0	 2.7618
  88	 24.216	   0	 3.6369
  89	 23.253	   0	  3.883
  90	 22.972	   0	  3.632
  91	 22.359	   0	 2.2951
  92	 21.007	   0	 1.9087
  93	 19.557	   0	 2.3767
  94	 18.835	   0	 2.2285
  95	 18.811	   0	  3.739
  96	 18.697	   0	 4.9737
  97	 19.111	   0	 4.6409
  98	  19.73	   0	   3.37
  99	 20.432	   0	 2.8355
 100	 20.857	   0	 2.2626
 101	 20.724	   0	 3.3103
 102	 21.492	   0	 2.0089
 103	 21.604	   0	  2.196
 104	 21.125	   0	 1.8785
 105	 20.439	   0	 2.1931
 106	 20.258	   0	 2.1799
 107	 20.868	   0	 0.6596
 108	 20.248	   0	 1.1455
 109	 20.321	   0	0.89267
 110	 20.251	   0	 0.5773
 111	 21.016	   0	0.98297
 112	 21.849	   0	0.64942
 113	 21.894	   0	0.76479
 114	 22.004	   0	      0
 115	 21.991	   0	0.56058
 116	 22.064	   0	  0.688
 117	 22.104	   0	 1.1952
 118	 22.142	   0	 1.4542
 119	 21.366	   0	 1.7858
 120	  20.62	   0	 1.0599
 121	 19.721	   0	0.50376
 122	 18.839	   0	0.77675
 123	 18.769	   0	0.98541
 124	  18.05	   0	 1.4169
 125	 17.325	   0	 1.4753
 126	  17.14	   0	0.77718
 127	 16.955	   0	0.75059
 128	 16.767	   0	0.75542
 129	  16.58	   0	0.83924
 130	 16.158	   0	 1.3269
 131	 15.783	   0	 1.5121
 132	 15.635	   0	 1.7494
 133	 15.298	   0	  2.154
 134	 14.929	   0	  1.857
 135	 14.858	   0	0.59216
 136	   14.3	   0	 2.8369
 137	 14.064	   0	 3.3652
 138	 13.963	   0	  3.896
 139	 13.841	   0	 4.2773
 140	 13.731	   0	 2.9762
 141	 13.735	   0	 2.0583
 142	  14.12	   0	 1.1119
 143	 14.042	   0	 1.4656
 144	 13.343	   0	 1.3611
 145	 12.989	   0	 1.2463
 146	 12.393	   0	  1.906
 147	 12.022	   0	 1.1124
 148	 11.581	   0	 2.2398
 149	 11.547	   0	 3.1812
 150	   11.6	   0	 2.3272
 151	 11.224	   0	0.86841
 152	 11.249	   0	0.96396
 153	 11.296	   0	0.26466
 154	 11.155	   0	0.73678
 155	 10.981	   0	0.89767
 156	  10.78	   0	   1.07
 157	 10.448	   0	 2.7022
 158	 10.657	   0	 1.9873
 159	 11.104	   0	 2.1907
 160	 11.697	   0	 2.3041
 161	 12.089	   0	 2.5367
 162	 12.093	   0	 2.4917
 163	 12.217	   0	 1.7051
 164	 11.856	   0	  1.876
 165	 11.584	   0	 1.0446
 166	  11.01	   0	 1.6379
 167	 10.685	   0	 1.4582
 168	 10.456	   0	 1.5045
 169	 10.567	   0	0.51188
 170	 10.664	   0	0.84095
 171	 11.561	   0	0.91411
 172	 12.459	   0	0.99626
 173	 13.269	   0	      0
 174	 12.846	   0	0.85027
 175	 13.098	   0	0.79924
 176	 13.499	   0	0.87621
 177	 13.892	   0	  1.135
 178	 14.263	   0	 1.1847
 179	 14.591	   0	 1.3654
 180	 15.012	   0	0.83893
 181	 15.644	   0	0.91594
 182	 15.444	   0	  1.264
 183	  15.91	   0	 1.4918
 184	 16.355	   0	 1.1108
 185	 16.385	   0	0.71501
 186	  16.35	   0	0.92099
 187	 16.121	   0	 1.5703
 188	 15.703	   0	 2.7004
 189	 15.906	   0	 2.9087
 190	 16.178	   0	 3.0194
 191	 16.965	   0	 1.6915
 192	 17.164	   0	  2.102
 193	 17.584	   0	 1.4841
 194	 17.821	   0	 2.1312
 195	 18.213	   0	0.74539
 196	 18.344	   0	0.38402
 197	 18.294	   0	0.76052
 198	 18.337	   0	      0
 199	 17.787	   0	0.99283
 200	 17.216	   0	 1.3407
 201	 16.783	   0	 1.2397
 202	 16.587	   0	0.89277
 203	 16.335	   0	 1.5532
 204	 16.493	   0	 1.5652
 205	 16.494	   0	 2.2958
 206	 16.029	   0	 2.3504
 207	 15.787	   0	 1.4861
 208	 15.907	   0	 1.7524
 209	 15.354	   0	0.78794
 210	 14.598	   0	 0.7042
 211	 13.645	   0	 0.7104
 212	 12.772	   0	0.26012
 213	 11.784	   0	 1.2344
 214	 11.272	   0	 1.8228
 215	 11.092	   0	 3.3624
 216	 12.197	   0	 2.4437
 217	 11.953	   0	 2.7855
 218	  11.99	   0	 3.5529
 219	  12.02	   0	 3.6533
 220	 12.758	   0	 2.0921
 221	 12.587	   0	  1.783
 222	   12.6	   0	 1.8079
 223	 12.614	   0	 2.7295
 224	 12.808	   0	 2.7075
 225	  13.25	   0	 2.1421
 226	 13.606	   0	 2.4199
 227	 14.267	   0	 2.1248
 228	 14.748	   0	 1.9651
 229	 15.229	   0	  1.762
 230	 15.318	   0	0.99578
 231	 15.027	   0	 1.2355
 232	 15.064	   0	0.35491
 233	 15.095	   0	0.09963
 234	 14.832	   0	 0.9358
 235	  14.54	   0	0.99502
 236	 14.264	   0	0.93102
 237	 13.641	   0	 1.6942
 238	  13.09	   0	 1.5607
 239	 12.502	   0	 1.7251
 240	 12.067	   0	 1.3016
 241	 11.648	   0	 1.3668
 242	 10.964	   0	 1.8533
 243	 10.457	   0	 1.8804
 244	 9.9172	   0	 2.8609
 245	 10.345	   0	 2.6238
 246	 10.767	   0	 2.4962
 247	  10.91	   0	 2.2626
 248	  11.04	   0	  1.622
 249	 10.857	   0	 1.8652
 250	 11.281	   0	 1.8653
 251	 11.594	   0	 2.3811
 252	 11.952	   0	 1.9878
 253	 12.134	   0	  1.977
 254	 12.433	   0	 1.7773
 255	 12.619	   0	 1.6967
 256	 12.682	   0	 2.2249
 257	 12.838	   0	 2.7415
 258	 13.127	   0	 1.7903
 259	 13.058	   0	 1.2219
 260	  12.43	   0	 1.9412
 261	 11.774	   0	 1.6782
 262	 10.955	   0	 2.1578
 263	 10.407	   0	  1.972
 264	 10.122	   0	 1.4338
 265	 9.8547	   0	 1.1746
 266	 9.3101	   0	 1.9229
 267	  8.859	   0	 2.5443
 268	 8.4088	   0	 3.1061
 269	 8.6788	   0	 2.2806
 270	 9.0963	   0	 1.5042
 271	 9.9107	   0	 1.1301
 272	 10.433	   0	 1.4444
 273	 10.812	   0	 1.6125
 274	 10.964	   0	 2.2044
 275	 11.537	   0	 1.5927
 276	 12.034	   0	 1.5797
 277	 12.892	   0	0.89957
 278	 13.699	   0	0.70074
 279	 14.604	   0	0.51833
 280	  15.45	   0	0.70439
 281	 16.223	   0	0.89625
 282	 16.968	   0	 1.2868
 283	 17.668	   0	 2.2344
 284	 17.779	   0	 1.7913
 285	 17.747	   0	 1.4477
 286	  17.76	   0	0.62647
 287	  17.76	   0	0.10916
 288	 17.506	   0	 1.7643
 289	  16.73	   0	  1.441
 290	 15.991	   0	0.96879
 291	 15.166	   0	0.72497
 292	 14.264	   0	0.75807
 293	 13.463	   0	0.80234
 294	 12.669	   0	0.71966
 295	 11.816	   0	 1.0085
 296	  11.15	   0	0.93338
 297	  10.75	   0	 1.4273
 298	 10.968	   0	 1.3539
 299	 11.187	   0	0.71181
 300	 11.119	   0	0.87746
 301	 10.871	   0	  1.758
 302	 10.426	   0	 2.7917
 303	 10.323	   0	 3.3825
 304	 10.206	   0	 2.8772
 305	 9.3579	   0	 2.9045
 306	 8.6217	   0	 2.8163
 307	 8.5931	   0	 2.4957
 308	 8.9463	   0	 1.7618
 309	 9.6165	   0	 1.8199
 310	  10.25	   0	  2.098
 311	  11.25	   0	 1.6337
 312	 11.732	   0	 1.6052
 313	  12.11	   0	 1.4774
 314	  12.34	   0	0.83224
 315	 12.371	   0	 1.0408
 316	 12.481	   0	 1.7888
 317	 13.107	   0	 1.7893
 318	 13.898	   0	 1.3912
 319	 14.566	   0	 1.6372
 320	 15.094	   0	 1.8937
 321	 15.613	   0	 2.3642
 322	 16.261	   0	 2.1261
 323	  16.82	   0	 1.2681
 324	 16.606	   0	 2.3305
 325	 16.671	   0	 2.0058
 326	 16.684	   0	 2.0805
 327	 16.835	   0	 1.9068
 328	 16.861	   0	  1.803
 329	 16.728	   0	 2.1981
 330	 16.959	   0	 2.6958
 331	 17.148	   0	 3.0915
 332	 17.244	   0	 2.7119
 333	 17.075	   0	  1.805
 334	 17.268	   0	 1.6547
 335	  17.62	   0	 1.3199
 336	 17.558	   0	 1.4537
 337	 17.031	   0	 3.7029
 338	 17.307	   0	 3.7323
 339	 17.965	   0	 2.8107
 340	 18.438	   0	 2.1051
 341	 18.717	   0	 1.5851
 342	 18.659	   0	 1.7274
 343	 18.221	   0	 2.3261
 344	 17.994	   0	 2.3506
 345	 18.585	   0	 3.0867
 346	  18.82	   0	 2.1761
 347	  18.55	   0	 1.7413
 348	 17.933	   0	 1.3281
 349	 17.386	   0	 2.9043
 350	 17.774	   0	 2.0306
 351	   17.4	   0	  2.927
 352	 17.243	   0	 2.0595
 353	 17.348	   0	 1.8767
 354	 17.451	   0	 1.4745
 355	  17.52	   0	0.70557
 356	 17.627	   0	 1.3731
 357	 17.491	   0	 2.1275
 358	  16.84	   0	 2.9721
 359	  16.62	   0	 2.7425
 360	 16.421	   0	 2.2308
 361	 16.296	   0	 1.7365
 362	 15.843	   0	0.89359
 363	 14.825	   0	 1.5543
 364	 14.023	   0	0.85368
 365	 13.266	   0	0.80016
 366	 13.238	   0	0.21082
 367	 13.148	   0	0.69437
 368	 13.098	   0	0.41681
 369	 13.045	   0	0.33989
 370	 13.017	   0	0.20981
 371	 12.729	   0	0.86647
 372	  12.34	   0	 1.5404
 373	 12.379	   0	  1.392
 374	 12.462	   0	 1.4031
 375	  12.92	   0	 1.1651
 376	 13.278	   0	0.24284
 377	 13.118	   0	0.87218
 378	 13.003	   0	0.61993
 379	 12.991	   0	0.094414
 380	 12.579	   0	  1.762
 381	 12.257	   0	   2.07
 382	 11.537	   0	 2.4471
 383	  10.94	   0	 1.8252
 384	   10.5	   0	  1.646
 385	 10.038	   0	 1.2173
 386	 9.6076	   0	0.98595
 387	 9.5647	   0	0.54358
 388	 9.3683	   0	 2.0056
 389	  9.453	   0	 3.1198
 390	 10.319	   0	  2.776
 391	  10.61	   0	 1.9654
 392	 11.004	   0	 1.7718
 393	 11.438	   0	 1.4691
 394	 11.351	   0	 1.9113
 395	 11.066	   0	 2.2589
 396	  10.72	   0	 2.3523
 397	 10.334	   0	 2.0666
 398	 10.067	   0	  2.378
 399	 10.284	   0	 2.5211
 400	 10.684	   0	 3.1945
 401	 11.422	   0	 3.0993
 402	 12.018	   0	 2.5877
 403	 12.478	   0	 2.2991
 404	 12.962	   0	 2.5489
 405	 13.375	   0	 2.8601
 406	 13.912	   0	 3.6347
 407	 15.254	   0	 2.3199
 408	 15.553	   0	 3.1026
 409	 16.058	   0	 2.9327
 410	 16.239	   0	 1.9636
 411	 16.859	   0	 2.1546
 412	 16.906	   0	 3.2848
 413	  17.56	   0	 2.2017
 414	 17.702	   0	 2.2505
 415	 17.954	   0	  2.304
 416	 18.486	   0	 1.3176
 417	 18.872	   0	 1.1282
 418	 18.917	   0	 1.7438
 419	 20.195	   0	 1.6285
 420	  20.63	   0	 2.5601
 421	 21.054	   0	 2.5625
 422	 21.686	   0	 1.8331
 423	 21.659	   0	 2.8384
 424	 21.842	   0	  2.664
 425	 22.164	   0	 1.2329
 426	 21.909	   0	 1.1982
 427	 21.969	   0	0.088333
 428	 21.944	   0	0.61102
 429	 21.758	   0	 1.7642
 430	 21.483	   0	 2.4104
 431	 21.562	   0	 2.1855
 432	  21.87	   0	 2.6639
 433	  22.56	   0	 2.5054
 434	 23.067	   0	 2.8055
 435	 23.386	   0	 1.8341
 436	 22.971	   0	 2.6544
 437	 22.749	   0	  2.729
 438	 22.537	   0	 2.7298
 439	 21.876	   0	 3.3545
 440	 21.426	   0	 3.0466
 441	 21.023	   0	 3.2978
 442	 21.555	   0	 2.1862
 443	 21.729	   0	 2.9299
 444	 21.279	   0	 3.3701
 445	 20.629	   0	 3.4484
 446	 20.874	   0	 2.2599
 447	 21.366	   0	 1.8521
 448	  21.64	   0	 1.1825
 449	 21.258	   0	 1.3208
 450	 20.618	   0	 2.2169
 451	 20.031	   0	 3.3562
 452	 20.534	   0	 2.8072
 453	 20.972	   0	 2.8907
 454	  21.71	   0	 2.6798
 455	 21.865	   0	 3.3362
 456	   21.7	   0	 4.8549
 457	 21.689	   0	 4.6065
 458	 21.583	   0	 3.5743
 459	 21.871	   0	 2.5879
 460	 22.038	   0	 2.5575
 461	 22.157	   0	  1.871
 462	 22.342	   0	 1.1989
 463	 22.046	   0	 2.5669
 464	 22.227	   0	 2.3319
 465	 21.976	   0	 3.1772
 466	 21.898	   0	 2.8563
 467	 21.757	   0	 2.2107
 468	 21.543	   0	 1.5298
 469	 21.085	   0	 2.0139
 470	 21.641	   0	 1.6144
 471	 22.198	   0	 1.6113
 472	 22.073	   0	 2.3392
 473	 22.128	   0	 1.3457
 474	 21.609	   0	 1.7932
 475	 22.008	   0	 1.4778
 476	  21.97	   0	 2.1723
 477	 21.817	   0	 2.3178
 478	 21.237	   0	 2.3266
 479	 20.444	   0	 2.4065
 480	  20.49	   0	0.77493
 481	 19.702	   0	 2.5022
 482	 18.893	   0	 2.1943
 483	 18.002	   0	 2.8337
 484	 17.128	   0	  3.522
 485	 17.524	   0	 2.6397
 486	 18.186	   0	0.91785
 487	 18.232	   0	0.52242
 488	 17.938	   0	 1.4378
 489	 17.459	   0	 2.6004
 490	 17.025	   0	 2.7977
 491	 16.532	   0	 4.0905
 492	 16.565	   0	  3.565
 493	 16.582	   0	  2.284
 494	 16.115	   0	 2.1339
 495	  15.68	   0	 2.3551
 496	 15.181	   0	 2.3984
 497	 14.432	   0	  2.373
 498	  13.43	   0	 3.0424
 499	 12.881	   0	 2.6105
 500	 12.323	   0	 2.2565
 501	 12.116	   0	 1.8536
 502	 12.446	   0	 1.7245
 503	  13.01	   0	  1.687
 504	 13.499	   0	 1.2132
 505	 13.447	   0	 1.6141
 506	 14.256	   0	 1.4347
 507	 14.902	   0	 1.3957
 508	 15.422	   0	 1.6168
 509	  15.56	   0	 1.2392
 510	 15.141	   0	 1.2855
 511	 14.736	   0	 1.1404
 512	 14.286	   0	 1.1556
 513	 14.252	   0	0.24834
 514	 13.499	   0	 1.8001
 515	 12.725	   0	 1.3537
 516	 11.931	   0	 1.3483
 517	 11.818	   0	0.59244
 518	 11.091	   0	 1.7688
 519	 10.066	   0	 1.0338
 520	  8.869	   0	0.99576
 521	 7.4675	   0	 1.0744
 522	 6.5251	   0	 0.4734
 523	 6.0756	   0	0.99261
 524	 5.5169	   0	 1.3049
 525	 5.0273	   0	 1.3109
 526	 4.9437	   0	0.46332
 527	  4.572	   0	 1.0381
 528	 4.1785	   0	 1.0556
 529	 4.0956	   0	0.41227
 530	 3.9965	   0	0.46613
 531	 3.6642	   0	 1.2043
 532	 3.4217	   0	0.86177
 533	 3.2043	   0	0.81898
 534	 2.8554	   0	 1.2678
 535	 2.5536	   0	 1.3435
 536	 2.3783	   0	0.84001
 537	 2.1817	   0	 1.0043
 538	 2.1591	   0	0.15624
 539	 1.5713	   0	 1.3216
 540	0.96354	   0	 1.2555
 541	0.39215	   0	 1.2096
 542	0.34695	   0	0.26564
 543	0.32881	   0	0.30892
 544	 0.3392	   0	0.25059
 545	0.29175	   0	0.38922
 546	0.21368	   0	 0.4473
 547	0.12387	   0	0.49553
 548	0.05544	   0	0.36005
 549	0.05544	   0	      0
 550	0.037538	   0	 0.1295
 551	3.185e-15	   0	0.26313
 552	3.185e-15	   0	      0
 553	3.185e-15	   0	      0
