   1	      0	   0	      0
   2	      0	   0	0.96929
   3	0.20546	   0	0.73957
   4	0.34398	   0	0.37091
   5	0.41532	   0	  1.197
   6	0.66746	   0	0.51731
   7	0.76671	   0	0.20415
   8	 0.7934	   0	  2.009
   9	 1.3282	   0	 2.4938
  10	  2.256	   0	 2.4595
  11	 3.1341	   0	 2.6191
  12	 3.9805	   0	 2.1536
  13	 4.6078	   0	0.94387
  14	 4.8237	   0	0.48426
  15	 4.9015	   0	 1.1381
  16	 5.2136	   0	 2.0129
  17	 5.7182	   0	 1.6318
  18	 6.0917	   0	 1.6147
  19	 6.4197	   0	0.94994
  20	 6.5445	   0	0.77927
  21	 6.4395	   0	 1.1643
  22	 6.2021	   0	  1.441
  23	  5.984	   0	  1.561
  24	 5.8724	   0	  1.564
  25	 5.9552	   0	 1.5748
  26	 6.1696	   0	 1.9486
  27	 5.7783	   0	 1.3175
  28	 6.3098	   0	  1.132
  29	 7.1259	   0	0.58126
  30	 7.6205	   0	 1.2489
  31	 8.0129	   0	 1.2509
  32	 8.5796	   0	0.80483
  33	 9.0647	   0	 1.0436
  34	 9.5352	   0	 1.3804
  35	 10.164	   0	 1.2065
  36	 10.902	   0	 1.1603
  37	  11.51	   0	0.85445
  38	 11.585	   0	   1.26
  39	 12.016	   0	 1.2251
  40	 12.415	   0	 1.3345
  41	 12.794	   0	 1.9362
  42	  13.18	   0	 1.7149
  43	  13.28	   0	  2.362
  44	 13.454	   0	 2.3809
  45	 13.926	   0	 2.8245
  46	 14.346	   0	 2.5057
  47	 14.738	   0	 2.5931
  48	 15.644	   0	 2.4583
  49	 16.534	   0	 2.5099
  50	 17.308	   0	  1.456
  51	 17.796	   0	0.97534
  52	 18.203	   0	0.98532
  53	 18.446	   0	 1.1751
  54	 18.703	   0	 2.1603
  55	 19.287	   0	0.44161
  56	 19.184	   0	 1.5204
  57	 19.201	   0	 1.2719
  58	 19.195	   0	 1.0203
  59	 19.245	   0	0.62632
  60	  18.96	   0	 2.4987
  61	  19.33	   0	 1.6341
  62	 19.506	   0	 2.3836
  63	 19.171	   0	 2.7871
  64	 19.358	   0	 3.2114
  65	 19.391	   0	 2.7021
  66	 19.582	   0	  1.379
  67	 19.238	   0	 1.6082
  68	  19.57	   0	 1.9673
  69	 20.018	   0	 1.7714
  70	 19.707	   0	 1.5056
  71	 18.788	   0	 2.3635
  72	 18.581	   0	0.95016
  73	 17.968	   0	 1.9455
  74	 17.957	   0	 2.8636
  75	 18.421	   0	 3.0024
  76	 19.802	   0	  1.984
  77	 19.602	   0	0.98943
  78	 19.055	   0	  1.393
  79	 18.962	   0	 1.2122
  80	 18.684	   0	 1.3718
  81	 19.511	   0	  1.079
  82	 19.884	   0	 1.4658
  83	 20.777	   0	0.98699
  84	 21.313	   0	 2.3165
  85	  21.77	   0	 1.8986
  86	 22.588	   0	 1.5377
  87	 23.071	   0	 1.1328
  88	 23.307	   0	0.13027
  89	 23.221	   0	0.42106
  90	 23.096	   0	 1.4186
  91	 23.248	   0	 1.6783
  92	 22.557	   0	 2.9094
  93	 21.913	   0	 2.4822
  94	 22.042	   0	 2.3299
  95	 21.964	   0	 1.8087
  96	 21.563	   0	 2.1699
  97	 21.488	   0	 1.1307
  98	   20.7	   0	 1.7673
  99	 20.341	   0	 2.2663
 100	 20.044	   0	 2.1791
 101	  20.06	   0	 1.5025
 102	 20.758	   0	0.95926
 103	 21.309	   0	 1.5513
 104	 21.704	   0	 2.3686
 105	 22.196	   0	 2.0736
 106	  22.45	   0	 2.0506
 107	 22.344	   0	 2.0957
 108	 22.504	   0	 1.9268
 109	 22.324	   0	 1.5742
 110	  21.75	   0	 2.4562
 111	 22.172	   0	 2.7675
 112	 22.779	   0	 2.7684
 113	 24.068	   0	 1.5277
 114	 24.584	   0	 2.9189
 115	 25.314	   0	 1.4997
 116	 25.398	   0	 1.8222
 117	 25.806	   0	 1.2598
 118	 26.137	   0	 1.5745
 119	 26.578	   0	 2.5233
 120	 27.325	   0	 2.7986
 121	 28.047	   0	 2.8694
 122	 27.944	   0	 2.9474
 123	 28.446	   0	 2.1466
 124	 29.055	   0	0.76486
 125	 28.793	   0	 1.6308
 126	 27.872	   0	  2.961
 127	 27.528	   0	 2.0935
 128	 27.074	   0	 1.3588
 129	 27.395	   0	0.84284
 130	 27.197	   0	 1.5232
 131	 27.087	   0	 1.3521
 132	  26.82	   0	  1.322
 133	 26.524	   0	 2.0057
 134	 26.124	   0	 2.1393
 135	 25.834	   0	 1.8099
 136	 25.105	   0	 1.6665
 137	 24.406	   0	 2.4604
 138	 24.075	   0	 2.2677
 139	  24.26	   0	 2.1362
 140	 24.189	   0	 2.6574
 141	 24.459	   0	 1.2866
 142	 24.144	   0	 1.5527
 143	 23.127	   0	 3.1718
 144	 23.113	   0	 2.9461
 145	 23.475	   0	 1.6043
 146	 23.396	   0	 2.1743
 147	 23.276	   0	  1.335
 148	 23.325	   0	 1.1984
 149	 23.323	   0	0.71263
 150	 23.293	   0	0.59018
 151	 22.705	   0	 2.3407
 152	 22.416	   0	 3.1253
 153	 22.051	   0	 3.1716
 154	  21.57	   0	 3.1394
 155	 21.702	   0	 3.2547
 156	 21.689	   0	 2.9436
 157	 21.359	   0	 3.6669
 158	 21.117	   0	 3.2342
 159	 21.076	   0	  1.227
 160	 20.502	   0	 1.2689
 161	 21.137	   0	 1.8811
 162	 21.683	   0	 1.7654
 163	 21.957	   0	 1.4091
 164	 23.058	   0	 2.2501
 165	 22.977	   0	 1.5314
 166	 22.427	   0	 1.9995
 167	 21.389	   0	 2.0114
 168	  20.07	   0	 2.1569
 169	 20.431	   0	 3.1157
 170	 21.073	   0	 2.8704
 171	 21.178	   0	 3.6197
 172	 21.308	   0	 2.6074
 173	  20.88	   0	 3.1096
 174	 20.769	   0	 2.7715
 175	 21.177	   0	 3.9139
 176	 21.559	   0	 3.7452
 177	  21.96	   0	 2.8355
 178	 22.475	   0	 2.9463
 179	 23.942	   0	 4.0972
 180	 25.807	   0	 4.1371
 181	  27.46	   0	 3.6911
 182	 28.444	   0	  3.024
 183	  29.46	   0	 2.6517
 184	 30.293	   0	 2.0758
 185	 30.787	   0	   2.48
 186	 31.965	   0	 1.2743
 187	 31.313	   0	 1.8563
 188	 31.931	   0	 2.2922
 189	 33.235	   0	 1.1808
 190	  33.67	   0	 2.7798
 191	 35.262	   0	 3.1986
 192	 36.539	   0	 3.3916
 193	 37.348	   0	 3.7726
 194	 39.392	   0	 3.7154
 195	 40.897	   0	 2.7815
 196	 41.756	   0	 2.7735
 197	  42.69	   0	 1.0153
 198	 42.788	   0	  2.704
 199	 43.204	   0	 2.6789
 200	 43.416	   0	 2.3979
 201	  43.51	   0	 2.5911
 202	 44.145	   0	0.44486
 203	 43.521	   0	 2.4304
 204	 43.418	   0	 2.3371
 205	  43.97	   0	 2.6044
 206	 44.613	   0	 2.8129
 207	 44.685	   0	 2.3796
 208	 44.711	   0	 1.1601
 209	 44.076	   0	 2.7981
 210	 44.185	   0	 3.0166
 211	 44.371	   0	 2.8781
 212	 44.326	   0	 3.2003
 213	  44.42	   0	 2.2816
 214	 44.576	   0	 3.2732
 215	 45.064	   0	 3.2169
 216	 45.668	   0	 2.6675
 217	 45.962	   0	 1.6283
 218	 45.759	   0	 3.0492
 219	 46.077	   0	 2.9565
 220	 46.024	   0	 3.3668
 221	 46.131	   0	 1.8682
 222	 45.361	   0	 2.7268
 223	 45.041	   0	 2.3954
 224	 44.624	   0	  2.089
 225	  44.01	   0	 1.3627
 226	 44.139	   0	      0
 227	 43.262	   0	 3.3249
 228	 42.578	   0	 2.7726
 229	 41.682	   0	 3.2353
 230	  40.91	   0	  2.687
 231	 39.584	   0	 3.2802
 232	  37.42	   0	 4.1464
 233	 36.205	   0	 3.7714
 234	  35.34	   0	 3.8572
 235	  34.18	   0	 5.4033
 236	 33.385	   0	 4.0246
 237	 33.179	   0	 4.3285
 238	 33.643	   0	 5.4485
 239	 33.341	   0	 4.8266
 240	 32.425	   0	 4.9305
 241	 31.726	   0	   4.27
 242	  32.21	   0	 2.6787
 243	 32.115	   0	 4.3865
 244	 31.998	   0	 4.0166
 245	 30.724	   0	 5.6645
 246	 29.693	   0	 5.7133
 247	 29.063	   0	 4.0594
 248	 28.388	   0	 5.0757
 249	 27.596	   0	 4.7217
 250	 27.324	   0	 4.7907
 251	 27.905	   0	 5.2243
 252	 29.375	   0	 3.9125
 253	 30.427	   0	 4.2237
 254	 30.289	   0	  4.025
 255	 30.509	   0	 5.4917
 256	 30.942	   0	 4.6997
 257	 31.597	   0	 3.1959
 258	 32.629	   0	 1.5293
 259	 32.667	   0	 2.0507
 260	 32.443	   0	 2.2735
 261	 33.234	   0	 2.3048
 262	  34.07	   0	0.58156
 263	 33.778	   0	 2.9672
 264	 34.106	   0	 3.0099
 265	  34.23	   0	 2.6081
 266	  34.18	   0	 2.1481
 267	 33.743	   0	 1.8647
 268	 33.846	   0	0.15902
 269	 33.751	   0	 2.2812
 270	 34.216	   0	 2.8038
 271	 34.289	   0	  3.819
 272	 34.668	   0	 2.8961
 273	 35.153	   0	 3.0352
 274	 35.823	   0	 3.1815
 275	  36.15	   0	 3.1615
 276	 36.044	   0	 2.9674
 277	 35.725	   0	 3.1307
 278	 35.671	   0	   2.89
 279	 35.878	   0	 2.5865
 280	 36.576	   0	 2.5346
 281	 37.167	   0	 2.3144
 282	 37.631	   0	 2.3514
 283	 38.151	   0	 2.3494
 284	 38.198	   0	 2.1626
 285	 38.474	   0	0.19821
 286	 38.284	   0	 2.2683
 287	 37.891	   0	 2.2964
 288	 37.594	   0	 1.7647
 289	 36.992	   0	 1.8697
 290	 36.474	   0	 2.1312
 291	 36.817	   0	0.70913
 292	 36.468	   0	  2.513
 293	 35.476	   0	 3.2094
 294	 34.362	   0	 3.4693
 295	 33.218	   0	 4.1927
 296	 32.533	   0	 5.0891
 297	 32.351	   0	  4.961
 298	 31.146	   0	 4.9079
 299	  29.43	   0	   4.42
 300	 28.247	   0	 3.9007
 301	 27.882	   0	 5.6902
 302	 27.259	   0	 5.4131
 303	   27.1	   0	 4.7533
 304	 26.478	   0	 3.6445
 305	 25.911	   0	 4.5339
 306	 24.457	   0	 3.4707
 307	 23.038	   0	 2.6511
 308	 21.281	   0	  2.325
 309	 21.619	   0	 1.2347
 310	 21.782	   0	 1.1209
 311	 21.108	   0	 2.3752
 312	 20.326	   0	  2.559
 313	 19.565	   0	 2.4672
 314	 19.797	   0	 1.6088
 315	 18.935	   0	 3.9254
 316	 18.467	   0	 4.1741
 317	  17.62	   0	 3.6627
 318	 17.617	   0	 3.6667
 319	 17.764	   0	 2.3505
 320	 17.568	   0	 1.3152
 321	 18.498	   0	0.85464
 322	 19.502	   0	 1.0068
 323	 20.188	   0	 1.3961
 324	 20.014	   0	 1.6762
 325	  19.37	   0	 1.9238
 326	 19.513	   0	 1.7796
 327	 20.386	   0	0.18472
 328	 19.787	   0	 2.3498
 329	 19.129	   0	 2.0524
 330	  19.19	   0	  1.911
 331	 19.167	   0	 2.0154
 332	 19.261	   0	 1.5264
 333	 20.071	   0	0.82212
 334	 20.814	   0	      0
 335	 20.759	   0	0.36183
 336	 20.341	   0	  1.284
 337	 19.862	   0	 1.2111
 338	 20.663	   0	0.66003
 339	 21.138	   0	0.69352
 340	 21.506	   0	 1.1847
 341	 21.885	   0	 1.2682
 342	 22.276	   0	 1.2179
 343	 23.159	   0	0.47936
 344	 22.973	   0	 2.0393
 345	 23.397	   0	 0.7842
 346	 23.397	   0	0.43707
 347	 23.466	   0	0.58211
 348	 23.545	   0	0.085074
 349	 23.545	   0	 0.4513
 350	 23.167	   0	 1.9676
 351	 23.665	   0	 2.8946
 352	 23.634	   0	 2.8555
 353	 23.252	   0	 2.0116
 354	 23.233	   0	 2.4651
 355	 22.946	   0	 2.0955
 356	 22.482	   0	 1.8923
 357	 22.812	   0	 1.4392
 358	 23.824	   0	 1.1709
 359	 24.648	   0	 1.6922
 360	 25.369	   0	 2.2975
 361	 25.483	   0	 1.3175
 362	 24.945	   0	 2.8361
 363	   24.6	   0	 3.1498
 364	 23.708	   0	 3.8386
 365	  23.25	   0	 3.2649
 366	  24.29	   0	 1.0957
 367	 24.589	   0	  2.378
 368	   24.2	   0	 2.8996
 369	 23.779	   0	 3.0753
 370	 24.638	   0	 1.9922
 371	 25.365	   0	 2.1062
 372	 26.292	   0	 2.2504
 373	 26.564	   0	 2.8827
 374	     27	   0	 2.3327
 375	 27.864	   0	 2.4985
 376	 28.862	   0	 2.1429
 377	  29.27	   0	 2.6569
 378	  29.53	   0	 2.1659
 379	 29.332	   0	  2.659
 380	 29.819	   0	 2.6374
 381	 29.666	   0	 3.8571
 382	 29.127	   0	 4.0399
 383	 29.592	   0	 2.7306
 384	 30.135	   0	  1.359
 385	 30.612	   0	 1.2754
 386	 31.156	   0	0.47488
 387	 32.054	   0	0.45242
 388	 32.959	   0	0.49361
 389	 33.851	   0	0.56726
 390	 34.717	   0	      0
 391	 34.717	   0	      0
 392	 34.717	   0	      0
 393	 34.717	   0	0.14877
 394	 34.676	   0	0.33866
 395	 34.609	   0	 1.0938
 396	 33.895	   0	 1.0401
 397	 33.259	   0	0.59801
 398	 32.539	   0	0.50048
 399	 31.578	   0	 1.8787
 400	  31.13	   0	 3.2583
 401	 30.804	   0	  3.313
 402	 30.456	   0	 3.8459
 403	 30.148	   0	 3.0351
 404	 29.619	   0	 3.8648
 405	 29.939	   0	 4.0146
 406	 30.064	   0	 4.9787
 407	 30.489	   0	 4.8862
 408	 30.925	   0	 3.2087
 409	 30.752	   0	 4.4565
 410	 30.791	   0	 4.9697
 411	 30.712	   0	  4.957
 412	 31.912	   0	 4.5514
 413	 32.068	   0	 4.3266
 414	 33.258	   0	 3.4216
 415	 33.165	   0	 2.1565
 416	 32.716	   0	 3.9871
 417	 32.642	   0	  4.187
 418	 32.102	   0	 4.7905
 419	 30.934	   0	 4.8848
 420	 30.691	   0	 3.3029
 421	 30.704	   0	 3.8243
 422	 30.475	   0	 2.4705
 423	 31.039	   0	 1.4919
 424	 31.151	   0	 2.7913
 425	 31.411	   0	 2.4087
 426	 31.532	   0	 2.8105
 427	 32.447	   0	 2.3361
 428	 33.133	   0	 3.7121
 429	 33.595	   0	 3.3084
 430	 33.864	   0	 3.0356
 431	 34.136	   0	 2.9588
 432	 34.077	   0	 1.6259
 433	 33.388	   0	 3.4715
 434	 33.071	   0	 4.1698
 435	 32.577	   0	 3.6525
 436	 32.014	   0	 3.2869
 437	 31.348	   0	 2.8304
 438	  31.55	   0	 3.4048
 439	 31.229	   0	  3.708
 440	 31.518	   0	 3.4388
 441	 32.523	   0	 2.3176
 442	 31.329	   0	 3.2386
 443	 29.623	   0	 3.0735
 444	 29.989	   0	 1.9914
 445	 30.349	   0	 2.6782
 446	 31.026	   0	 2.7369
 447	 31.734	   0	 2.7503
 448	 33.235	   0	 2.9694
 449	 35.147	   0	 1.1775
 450	 36.445	   0	 2.5475
 451	 38.358	   0	 2.9672
 452	 39.485	   0	 3.3573
 453	 41.016	   0	 4.2409
 454	 42.216	   0	 3.3923
 455	 42.959	   0	 2.5911
 456	 43.285	   0	 2.2834
 457	 43.356	   0	 2.7864
 458	 43.292	   0	 2.1139
 459	 43.251	   0	 2.7129
 460	 43.284	   0	 2.6839
 461	 43.349	   0	 1.9412
 462	 43.251	   0	 2.3441
 463	 42.679	   0	 2.7952
 464	 42.695	   0	 3.0044
 465	 42.537	   0	 3.3349
 466	 42.451	   0	 2.9023
 467	  42.87	   0	 2.0984
 468	 42.356	   0	 2.3169
 469	  42.35	   0	 2.6578
 470	 42.287	   0	 2.5548
 471	 42.382	   0	 1.9452
 472	  42.69	   0	 1.4678
 473	 42.677	   0	0.20244
 474	 42.156	   0	 2.4849
 475	 42.149	   0	 2.6343
 476	 42.344	   0	 2.6368
 477	 42.149	   0	 2.5553
 478	 41.762	   0	 2.7705
 479	 40.394	   0	 2.2734
 480	 39.211	   0	 2.9752
 481	 38.108	   0	 1.4255
 482	 37.533	   0	 1.6716
 483	 37.766	   0	 3.3659
 484	 37.729	   0	 3.3197
 485	 38.213	   0	  2.824
 486	 38.308	   0	 2.9301
 487	 38.515	   0	 3.3053
 488	 38.618	   0	 3.4262
 489	 38.426	   0	  3.662
 490	 38.288	   0	 2.3817
 491	 37.489	   0	 3.7821
 492	 37.827	   0	 4.1929
 493	 37.751	   0	   3.26
 494	 37.806	   0	  1.563
 495	 37.281	   0	 1.6765
 496	 37.349	   0	 2.1199
 497	 37.397	   0	 2.0682
 498	 37.789	   0	 1.7419
 499	 37.788	   0	 1.7623
 500	  37.87	   0	 1.6182
 501	 37.779	   0	 2.2311
 502	 37.688	   0	 2.9008
 503	 37.803	   0	 2.2308
 504	 36.802	   0	 2.0639
 505	 36.071	   0	 1.3049
 506	 34.839	   0	 1.6697
 507	 35.126	   0	 2.0011
 508	 35.277	   0	 2.0198
 509	 34.296	   0	0.70671
 510	 34.326	   0	 0.1653
 511	  34.35	   0	      0
 512	 33.336	   0	 1.3071
 513	 32.229	   0	 1.4236
 514	  31.57	   0	 2.0525
 515	 30.071	   0	 2.5744
 516	  28.95	   0	 1.1523
 517	 28.108	   0	 1.3647
 518	 26.488	   0	 1.5554
 519	 25.348	   0	 2.1173
 520	 24.105	   0	 1.7849
 521	 23.772	   0	 2.2276
 522	 23.674	   0	 1.7413
 523	  23.56	   0	 2.3855
 524	 23.514	   0	 1.8004
 525	 23.205	   0	 1.1941
 526	  23.21	   0	0.42965
 527	  22.59	   0	 1.7474
 528	  21.78	   0	 2.0245
 529	 20.947	   0	 2.1428
 530	 20.119	   0	 2.3665
 531	 19.824	   0	 1.9363
 532	 19.959	   0	0.21962
 533	 19.472	   0	 1.7186
 534	  19.03	   0	 1.5299
 535	 18.897	   0	0.68961
 536	 18.484	   0	  1.389
 537	 18.062	   0	 1.7778
 538	 17.075	   0	 2.1835
 539	 15.745	   0	 3.6038
 540	 14.213	   0	 4.0219
 541	 12.497	   0	 3.9052
 542	 11.967	   0	 2.6036
 543	 11.781	   0	 1.1873
 544	  11.72	   0	0.43659
 545	  11.35	   0	 1.9511
 546	 10.647	   0	 2.9981
 547	 10.242	   0	 3.3044
 548	 10.069	   0	 2.7295
 549	 9.6241	   0	 3.2244
 550	 9.2776	   0	 2.3716
 551	  8.565	   0	 2.2297
 552	 7.7009	   0	 1.6037
 553	 6.3277	   0	 1.2451
 554	 5.5678	   0	 2.1738
 555	 4.6008	   0	 2.1484
 556	 3.4895	   0	 1.9242
 557	 2.5574	   0	 1.6922
 558	 1.5629	   0	 1.2997
 559	0.94081	   0	  1.048
 560	0.17116	   0	 1.2251
 561	0.071426	   0	0.61628
 562	0.04256	   0	0.18867
 563	6.9493e-14	   0	0.25391
 564	6.9493e-14	   0	      0
