   1	      0	   0	      0
   2	      0	   0	0.15184
   3	0.021874	   0	0.10306
   4	0.035354	   0	      0
   5	0.035354	   0	      0
   6	0.035354	   0	0.14268
   7	0.055574	   0	0.13447
   8	0.074343	   0	0.12108
   9	0.090804	   0	0.11004
  10	0.10542	   0	0.10091
  11	0.11855	   0	0.097081
  12	0.13108	   0	0.47292
  13	 0.2063	   0	0.40009
  14	0.27448	   0	 1.1114
  15	0.61986	   0	0.86309
  16	0.90555	   0	 1.1698
  17	 1.3206	   0	 1.3139
  18	 1.7641	   0	 2.0475
  19	 2.4362	   0	 0.7034
  20	 2.5389	   0	 1.7055
  21	 3.2268	   0	 2.0752
  22	 4.0555	   0	 2.0534
  23	 5.1221	   0	 2.1646
  24	 6.1397	   0	  2.353
  25	 7.0588	   0	 1.5516
  26	 7.3848	   0	 1.7645
  27	 7.9941	   0	 2.3669
  28	 8.8283	   0	 1.4903
  29	 9.0968	   0	 1.8756
  30	 9.6041	   0	  2.012
  31	 10.365	   0	 2.2999
  32	 11.469	   0	  2.162
  33	  12.05	   0	 2.5991
  34	 12.656	   0	 1.8887
  35	 13.417	   0	 1.9661
  36	 13.961	   0	0.34034
  37	 14.007	   0	 1.1722
  38	 13.932	   0	 2.1637
  39	 14.509	   0	 1.6696
  40	 14.731	   0	 2.2783
  41	 15.005	   0	 2.5422
  42	 14.853	   0	 3.4991
  43	  14.93	   0	 2.2183
  44	 14.982	   0	 1.5439
  45	 14.426	   0	 2.6831
  46	 14.039	   0	 2.0104
  47	 13.718	   0	 2.3647
  48	 13.414	   0	 2.4225
  49	 13.146	   0	 2.2803
  50	  13.64	   0	0.97061
  51	 13.731	   0	 1.4825
  52	 13.661	   0	 1.9592
  53	 13.498	   0	 2.5766
  54	 12.746	   0	 3.1703
  55	 12.635	   0	 2.2118
  56	 12.508	   0	 1.8467
  57	 12.339	   0	 1.8229
  58	 12.175	   0	 1.8367
  59	  12.17	   0	 2.1446
  60	 12.718	   0	 1.9414
  61	 13.488	   0	 1.8761
  62	 14.578	   0	 2.0015
  63	 15.675	   0	 1.9728
  64	 16.713	   0	 2.1764
  65	 17.675	   0	 2.2431
  66	 18.415	   0	 1.0324
  67	 18.591	   0	 0.7706
  68	 18.715	   0	 0.5599
  69	 18.788	   0	0.45129
  70	 18.846	   0	0.52893
  71	 19.742	   0	0.38479
  72	 20.667	   0	0.56373
  73	 21.427	   0	 1.0522
  74	 22.103	   0	 1.4242
  75	 22.222	   0	 2.3341
  76	  22.65	   0	 2.5697
  77	 23.097	   0	 2.3667
  78	 23.017	   0	 2.2673
  79	 22.776	   0	 2.0802
  80	  22.39	   0	 2.5654
  81	 23.445	   0	 2.8598
  82	 24.961	   0	 2.0461
  83	 26.277	   0	 2.1687
  84	 27.041	   0	 2.8718
  85	 26.948	   0	 4.9092
  86	 27.448	   0	 3.7653
  87	 27.381	   0	 3.3275
  88	 26.994	   0	 3.4073
  89	 27.343	   0	 2.3651
  90	 27.558	   0	 2.3917
  91	 27.115	   0	 3.5817
  92	 27.636	   0	 3.5124
  93	 28.338	   0	 2.3117
  94	 28.905	   0	 3.4694
  95	   29.8	   0	  3.837
  96	 30.544	   0	  3.993
  97	 31.738	   0	 2.9273
  98	 32.544	   0	 3.4553
  99	 33.234	   0	 2.8824
 100	 32.954	   0	  3.255
 101	 32.284	   0	 3.6471
 102	 32.279	   0	  2.359
 103	 32.135	   0	 2.2223
 104	 32.026	   0	 2.3104
 105	 31.891	   0	 2.2486
 106	 31.652	   0	 3.0134
 107	 31.396	   0	 3.7085
 108	  32.01	   0	  2.919
 109	 31.935	   0	 2.6779
 110	 31.687	   0	 2.8117
 111	  31.64	   0	 2.1916
 112	 31.812	   0	 2.0048
 113	 31.911	   0	  2.123
 114	 31.796	   0	 2.8769
 115	 31.637	   0	 3.1155
 116	 31.396	   0	 3.5918
 117	 31.439	   0	 3.4258
 118	  32.34	   0	 2.3091
 119	 32.945	   0	 3.2573
 120	 33.893	   0	 3.5025
 121	 34.786	   0	 2.9446
 122	  35.76	   0	 2.9101
 123	 35.691	   0	 4.4211
 124	  35.61	   0	 4.5761
 125	 35.263	   0	 5.1903
 126	 35.622	   0	 5.0527
 127	 37.104	   0	 1.7597
 128	 38.326	   0	 2.2281
 129	 39.061	   0	 2.2924
 130	 39.389	   0	 3.0595
 131	 39.863	   0	 2.6272
 132	 39.891	   0	  2.577
 133	 39.612	   0	 2.4884
 134	 39.466	   0	 3.3171
 135	 39.421	   0	 2.8343
 136	 39.674	   0	 2.3053
 137	  39.67	   0	 1.6246
 138	  39.32	   0	 2.4753
 139	 39.321	   0	  2.266
 140	  40.22	   0	  1.787
 141	 41.149	   0	 2.0517
 142	  41.17	   0	  1.981
 143	 41.624	   0	 2.8641
 144	 42.335	   0	 1.7534
 145	   42.3	   0	 4.1694
 146	 42.563	   0	 4.2602
 147	 42.582	   0	 3.6561
 148	 42.404	   0	 2.5185
 149	 41.536	   0	 1.9558
 150	 41.315	   0	 2.4973
 151	 40.573	   0	 3.6608
 152	 40.504	   0	 2.5322
 153	 40.245	   0	 2.9948
 154	 39.989	   0	 2.5326
 155	 39.344	   0	 1.7485
 156	  37.98	   0	 2.4666
 157	 37.325	   0	 1.0235
 158	 36.382	   0	 1.0785
 159	 35.754	   0	 3.0842
 160	 35.457	   0	 2.3458
 161	 35.081	   0	 3.7636
 162	 35.233	   0	 2.8235
 163	 34.578	   0	 2.4887
 164	  33.65	   0	 2.4907
 165	  33.59	   0	 3.0024
 166	 33.931	   0	 2.0157
 167	 33.879	   0	 1.0277
 168	 34.822	   0	0.29035
 169	 35.687	   0	0.75227
 170	  36.26	   0	 2.1092
 171	 36.596	   0	 2.4222
 172	  35.98	   0	 3.1992
 173	 35.576	   0	 2.5666
 174	 34.777	   0	 2.2651
 175	 35.579	   0	  3.001
 176	 36.261	   0	  3.511
 177	 35.924	   0	 2.5096
 178	  34.82	   0	 2.8167
 179	 33.952	   0	 3.9557
 180	 34.107	   0	 2.9141
 181	 33.906	   0	 3.9702
 182	 33.838	   0	 2.8206
 183	 33.425	   0	 2.8536
 184	 32.884	   0	  3.129
 185	 32.153	   0	 3.6658
 186	 31.278	   0	 3.5593
 187	 30.518	   0	 2.2647
 188	 29.356	   0	 2.0076
 189	 29.232	   0	 1.7444
 190	 28.762	   0	 2.1081
 191	 28.644	   0	 1.6515
 192	  28.68	   0	 1.5346
 193	 29.543	   0	 1.2473
 194	 30.112	   0	 1.8227
 195	 31.298	   0	 1.1374
 196	 31.444	   0	0.60004
 197	 31.244	   0	 1.4661
 198	 30.132	   0	 1.9805
 199	 29.486	   0	 1.3432
 200	 28.807	   0	 1.9231
 201	 28.462	   0	 2.0241
 202	 27.927	   0	 1.5174
 203	 27.301	   0	 1.1373
 204	 26.756	   0	0.86727
 205	 26.764	   0	 2.4915
 206	  27.28	   0	 3.0347
 207	 27.371	   0	 3.3302
 208	 27.088	   0	 3.8525
 209	 27.472	   0	 2.7128
 210	 27.594	   0	 3.4669
 211	 28.108	   0	 3.2688
 212	 28.672	   0	 2.9516
 213	 29.111	   0	 2.9296
 214	 29.419	   0	 3.4093
 215	 29.635	   0	   2.55
 216	 30.589	   0	 2.0778
 217	 31.217	   0	 2.5432
 218	 32.137	   0	 1.6958
 219	 32.086	   0	  1.932
 220	 31.474	   0	 2.9537
 221	 31.441	   0	 3.0095
 222	 31.406	   0	 1.8225
 223	 31.182	   0	 1.4739
 224	 30.689	   0	 1.3237
 225	 30.027	   0	 1.2798
 226	 30.225	   0	 1.7056
 227	 29.681	   0	 2.5933
 228	 29.048	   0	 1.7356
 229	 28.877	   0	  2.702
 230	 28.235	   0	 2.8822
 231	 28.231	   0	 1.7584
 232	 28.001	   0	 1.2788
 233	 27.659	   0	 1.5268
 234	  27.98	   0	  2.181
 235	 28.484	   0	  3.162
 236	 29.209	   0	 3.2037
 237	 29.331	   0	 2.4807
 238	 28.438	   0	 3.5536
 239	  28.55	   0	 2.7301
 240	 29.432	   0	 1.5809
 241	 29.158	   0	 2.0962
 242	  28.76	   0	 2.6401
 243	 27.889	   0	 2.9579
 244	 26.498	   0	 2.4711
 245	 26.789	   0	 1.6584
 246	 26.845	   0	 2.1562
 247	 27.105	   0	 1.8825
 248	 27.517	   0	 2.2559
 249	 27.782	   0	 2.6568
 250	  28.33	   0	 1.8753
 251	 29.047	   0	 1.6035
 252	 29.491	   0	 2.1961
 253	 29.684	   0	 2.7569
 254	 29.483	   0	 2.4267
 255	 29.309	   0	 1.8024
 256	 29.871	   0	 1.2551
 257	   30.5	   0	 1.3627
 258	 30.784	   0	  2.795
 259	 31.713	   0	 2.6155
 260	 32.442	   0	 2.7708
 261	 32.254	   0	  2.916
 262	 32.329	   0	 2.3633
 263	  31.76	   0	 2.8475
 264	 32.264	   0	  1.933
 265	 32.085	   0	  2.356
 266	 31.923	   0	  2.268
 267	 31.812	   0	   2.39
 268	 31.367	   0	 2.3359
 269	 30.684	   0	 2.7706
 270	 30.045	   0	 3.1239
 271	 29.484	   0	 2.1873
 272	 28.911	   0	 2.3132
 273	 28.049	   0	 2.4183
 274	 27.335	   0	 2.7532
 275	  26.82	   0	 1.8648
 276	 25.778	   0	 2.2107
 277	  24.91	   0	 2.4488
 278	 24.415	   0	 1.8584
 279	 23.246	   0	 2.4112
 280	 22.003	   0	 1.6924
 281	 20.948	   0	   1.96
 282	 19.589	   0	 2.0729
 283	 18.933	   0	 1.7869
 284	  18.21	   0	 1.5494
 285	 17.361	   0	 2.1419
 286	 16.755	   0	 1.6327
 287	 16.009	   0	 1.3943
 288	 15.238	   0	0.90859
 289	  14.42	   0	 1.3793
 290	 14.544	   0	 1.6628
 291	 14.705	   0	 1.2241
 292	  14.88	   0	 1.9999
 293	 14.903	   0	 2.4037
 294	 15.175	   0	 3.0706
 295	 15.594	   0	 1.4476
 296	 15.884	   0	 2.5656
 297	 16.082	   0	 2.1909
 298	  15.98	   0	 2.2991
 299	 15.651	   0	0.78902
 300	 15.143	   0	0.98543
 301	 15.041	   0	 2.2878
 302	 15.362	   0	 2.2996
 303	 15.626	   0	  2.458
 304	 15.867	   0	 2.4688
 305	 16.263	   0	0.68404
 306	 16.113	   0	0.67002
 307	 15.863	   0	 2.1554
 308	 16.061	   0	 2.3836
 309	 16.238	   0	 2.5928
 310	 16.393	   0	  2.702
 311	 16.636	   0	   2.32
 312	  17.22	   0	 1.1217
 313	  18.22	   0	 1.6262
 314	 18.368	   0	 1.6974
 315	 18.292	   0	 2.9178
 316	 19.028	   0	 2.6979
 317	 19.496	   0	 2.1646
 318	 19.858	   0	 2.2258
 319	 20.216	   0	   1.93
 320	  19.83	   0	  2.972
 321	 19.831	   0	 2.3085
 322	 20.037	   0	 2.8791
 323	 19.238	   0	 4.0562
 324	 19.288	   0	 2.0482
 325	 18.339	   0	 2.0488
 326	 17.648	   0	 1.7262
 327	 16.821	   0	 1.7325
 328	  16.71	   0	  1.536
 329	 17.029	   0	 2.4113
 330	 17.372	   0	 2.4639
 331	 17.063	   0	  2.169
 332	 17.386	   0	 3.1393
 333	 17.928	   0	 2.4263
 334	 18.329	   0	 2.7398
 335	 19.193	   0	 2.2598
 336	 19.507	   0	 1.3084
 337	 19.443	   0	 0.8801
 338	 19.222	   0	 2.5946
 339	 20.119	   0	 2.6985
 340	 21.206	   0	  2.119
 341	 21.871	   0	  2.045
 342	 22.731	   0	 2.3234
 343	 23.698	   0	 2.5753
 344	 24.582	   0	 1.2656
 345	 24.847	   0	0.50708
 346	 24.933	   0	0.31978
 347	 24.967	   0	0.61607
 348	 25.018	   0	0.52324
 349	 24.906	   0	  1.867
 350	 25.043	   0	 1.8681
 351	 25.432	   0	 1.8751
 352	 25.647	   0	 1.8238
 353	 25.421	   0	 1.8038
 354	 25.375	   0	 2.4822
 355	 25.522	   0	 2.6034
 356	 25.611	   0	 2.2282
 357	 25.225	   0	 2.3899
 358	 24.813	   0	  3.091
 359	 25.016	   0	 1.6085
 360	 24.135	   0	 2.5656
 361	 22.913	   0	 2.0627
 362	 23.035	   0	0.71557
 363	 22.433	   0	 2.4115
 364	 21.694	   0	 2.5181
 365	 21.379	   0	 2.2552
 366	 21.085	   0	 2.1056
 367	 20.715	   0	 2.3132
 368	 20.714	   0	0.63988
 369	 20.688	   0	0.80239
 370	   20.7	   0	0.45664
 371	 20.735	   0	 1.5455
 372	 20.821	   0	 3.5749
 373	 21.709	   0	 3.0655
 374	 22.012	   0	 2.9749
 375	 21.565	   0	   3.37
 376	 21.363	   0	 3.0681
 377	 20.905	   0	 2.9396
 378	 20.329	   0	 2.3878
 379	 19.571	   0	 1.7744
 380	 19.507	   0	 1.5157
 381	 20.011	   0	      0
 382	 20.011	   0	0.26004
 383	 19.424	   0	 2.2229
 384	 18.587	   0	 1.6388
 385	 17.653	   0	  1.602
 386	  17.57	   0	 1.7793
 387	 16.778	   0	 3.4151
 388	 16.784	   0	 2.2931
 389	 16.175	   0	 2.0425
 390	 15.368	   0	 1.6268
 391	 14.864	   0	 1.6917
 392	 13.974	   0	 2.6174
 393	  13.14	   0	 2.8679
 394	 12.433	   0	 2.9471
 395	 12.286	   0	 2.2698
 396	 12.497	   0	 1.8134
 397	 12.759	   0	 1.9809
 398	 13.021	   0	 2.2551
 399	   13.5	   0	 2.1056
 400	 13.877	   0	 1.8442
 401	 13.954	   0	 2.7225
 402	 14.027	   0	 2.4846
 403	 14.443	   0	 2.2688
 404	 14.932	   0	 2.5542
 405	 15.724	   0	 2.1316
 406	 16.118	   0	 2.5314
 407	 15.975	   0	  2.023
 408	  16.11	   0	 2.4963
 409	 16.225	   0	 2.0481
 410	 15.811	   0	 2.1982
 411	 15.166	   0	  1.704
 412	 14.816	   0	  1.202
 413	 14.834	   0	 1.1379
 414	 14.469	   0	 1.9821
 415	 14.161	   0	 1.9088
 416	 13.849	   0	 1.6577
 417	 13.506	   0	 2.1469
 418	 13.927	   0	 1.8523
 419	 14.419	   0	  1.919
 420	 14.918	   0	 1.8204
 421	 15.345	   0	 2.0187
 422	 15.587	   0	 2.0084
 423	 15.879	   0	  1.965
 424	  15.74	   0	 1.5215
 425	 15.586	   0	 1.5444
 426	 15.487	   0	 1.2434
 427	 15.562	   0	0.14363
 428	 14.933	   0	 1.4383
 429	 14.362	   0	 1.3473
 430	 13.575	   0	 1.5323
 431	 12.576	   0	 1.4477
 432	 11.507	   0	 1.5117
 433	 10.703	   0	 1.9814
 434	  10.11	   0	 2.2268
 435	 9.3185	   0	 2.5302
 436	 9.2975	   0	 2.6217
 437	 8.8457	   0	 2.7673
 438	 9.3832	   0	 1.6143
 439	 10.255	   0	 1.5771
 440	 11.177	   0	 1.8937
 441	 12.193	   0	 1.6557
 442	 13.394	   0	 1.2296
 443	 14.611	   0	 1.0442
 444	 15.529	   0	 1.0091
 445	 16.298	   0	0.08806
 446	 16.287	   0	0.99821
 447	  16.47	   0	 2.1141
 448	 16.847	   0	  2.242
 449	 17.481	   0	 2.0479
 450	 17.891	   0	 2.1878
 451	 18.226	   0	 1.9982
 452	 18.523	   0	 1.5586
 453	 18.832	   0	0.45666
 454	 18.555	   0	 2.2465
 455	 18.311	   0	 3.1133
 456	 17.742	   0	 3.2519
 457	 17.474	   0	 2.4814
 458	 16.943	   0	 2.4181
 459	 16.069	   0	 2.6945
 460	 14.819	   0	 1.9638
 461	 15.102	   0	  2.084
 462	 14.498	   0	 1.1678
 463	 13.608	   0	 1.3803
 464	 13.163	   0	 1.1871
 465	 13.118	   0	 1.8156
 466	 12.993	   0	 1.8743
 467	 13.597	   0	 1.7829
 468	 14.089	   0	 1.7566
 469	 14.344	   0	 2.3301
 470	 14.698	   0	 1.9452
 471	 15.138	   0	 2.2622
 472	 15.757	   0	 2.4025
 473	 16.207	   0	 1.7498
 474	 16.354	   0	 1.7685
 475	 16.902	   0	 2.1735
 476	 17.122	   0	 2.2376
 477	 17.611	   0	 2.8739
 478	 18.377	   0	 2.2192
 479	 18.379	   0	  2.584
 480	 18.824	   0	 1.2528
 481	 19.086	   0	  1.136
 482	 19.304	   0	0.37699
 483	  19.25	   0	0.83854
 484	 19.268	   0	0.55717
 485	 19.295	   0	      0
 486	 19.295	   0	      0
 487	 19.282	   0	0.24431
 488	 19.027	   0	 1.5198
 489	 18.831	   0	 1.4851
 490	 18.646	   0	 1.5003
 491	 18.171	   0	 2.1645
 492	 18.062	   0	 2.2794
 493	 18.065	   0	 3.2458
 494	  18.46	   0	 3.2938
 495	 19.322	   0	0.86663
 496	 19.347	   0	 1.2183
 497	 19.533	   0	0.13572
 498	 19.552	   0	      0
 499	 19.552	   0	0.23827
 500	 19.426	   0	0.95656
 501	   19.3	   0	0.93353
 502	 19.205	   0	 1.3827
 503	 18.568	   0	 3.0188
 504	 17.796	   0	 1.9429
 505	 17.233	   0	 2.1059
 506	 16.491	   0	 2.6532
 507	 16.777	   0	 1.3671
 508	 16.914	   0	 2.2629
 509	 16.588	   0	  3.751
 510	 16.381	   0	 3.0774
 511	 15.624	   0	 2.7322
 512	 15.213	   0	 2.3073
 513	 14.965	   0	 3.1592
 514	 14.518	   0	 2.7213
 515	 14.323	   0	 2.0971
 516	 14.753	   0	 1.9066
 517	 15.432	   0	 1.3529
 518	 16.014	   0	 1.0947
 519	 16.448	   0	 1.4857
 520	 16.844	   0	  1.425
 521	 16.865	   0	 2.1472
 522	 16.468	   0	 2.6135
 523	 16.035	   0	 2.8337
 524	 15.626	   0	 2.4583
 525	 15.728	   0	0.30287
 526	 15.701	   0	0.61158
 527	  15.33	   0	 2.4655
 528	  14.46	   0	  2.981
 529	 13.533	   0	 2.4829
 530	 12.351	   0	 3.2561
 531	 11.186	   0	 3.1225
 532	 10.156	   0	  2.236
 533	  8.687	   0	 2.3628
 534	 8.7723	   0	0.51898
 535	 8.7584	   0	0.42266
 536	 8.7097	   0	0.38292
 537	 8.6741	   0	0.28278
 538	 7.9062	   0	 1.5203
 539	 7.0908	   0	 1.5165
 540	 6.2003	   0	 1.5921
 541	 5.3147	   0	 1.5035
 542	 5.2244	   0	0.75654
 543	 5.1597	   0	0.94629
 544	 5.2707	   0	0.47027
 545	 4.9121	   0	 2.2147
 546	 5.3277	   0	 1.6859
 547	 5.8799	   0	0.23699
 548	 5.8799	   0	      0
 549	 5.8518	   0	 1.5327
 550	 6.3445	   0	 1.8252
 551	 6.7556	   0	 2.6478
 552	 7.2094	   0	0.94296
 553	 6.9921	   0	 1.3065
 554	 6.3759	   0	 2.0696
 555	 5.8142	   0	 1.7001
 556	 4.6647	   0	 2.3242
 557	 4.5485	   0	 1.3962
 558	 4.3509	   0	 1.2514
 559	 4.3512	   0	0.14348
 560	  3.967	   0	0.96101
 561	 3.3797	   0	 1.6779
 562	 2.6941	   0	 1.7735
 563	 2.5418	   0	0.80355
 564	 2.3876	   0	0.89737
 565	 1.5769	   0	 1.7534
 566	0.84799	   0	 1.2834
 567	0.55856	   0	 1.2562
 568	0.049684	   0	 1.8141
 569	3.4438e-14	   0	0.28505
 570	3.4438e-14	   0	      0
