   1	      0	   0	      0
   2	      0	   0	      0
   3	      0	   0	0.48493
   4	0.072674	   0	 1.0259
   5	0.26848	   0	 1.3242
   6	 1.2094	   0	 1.5117
   7	 2.0357	   0	 1.4367
   8	 2.7367	   0	 1.6329
   9	 3.3916	   0	 1.7989
  10	 4.0953	   0	0.89128
  11	 4.8338	   0	 1.0257
  12	 5.8397	   0	 1.5017
  13	 7.0013	   0	 1.0677
  14	 8.2704	   0	 1.7646
  15	 9.5644	   0	 2.1601
  16	 10.608	   0	 2.1778
  17	 11.256	   0	 1.1402
  18	 11.359	   0	 2.1132
  19	 12.022	   0	 2.5151
  20	 13.068	   0	 2.3485
  21	 13.746	   0	 2.1233
  22	 14.034	   0	 2.1963
  23	 14.119	   0	 1.8788
  24	 14.105	   0	 1.7308
  25	 13.985	   0	 2.1301
  26	 14.731	   0	 2.0361
  27	  14.94	   0	 2.4476
  28	 15.133	   0	 2.7139
  29	 15.477	   0	 2.3112
  30	 15.433	   0	  2.075
  31	 15.892	   0	 1.3903
  32	 16.653	   0	 1.1416
  33	 17.643	   0	 1.1304
  34	 18.645	   0	 1.3213
  35	 19.605	   0	 1.3443
  36	  20.58	   0	 1.9361
  37	 21.807	   0	 1.7295
  38	 22.936	   0	0.69397
  39	 23.057	   0	 1.3707
  40	 23.344	   0	 1.8033
  41	 24.339	   0	 2.1097
  42	 25.259	   0	 1.8742
  43	 25.626	   0	 2.8939
  44	 26.279	   0	 2.8472
  45	 26.781	   0	 2.0982
  46	 27.034	   0	  2.073
  47	 27.295	   0	 2.8355
  48	  27.39	   0	 3.3539
  49	 27.749	   0	 3.0104
  50	 28.219	   0	 1.8074
  51	 28.481	   0	0.56841
  52	 27.966	   0	 1.3007
  53	 27.253	   0	 1.9802
  54	 27.596	   0	 2.0457
  55	 27.956	   0	 1.5566
  56	 27.445	   0	  2.221
  57	 27.089	   0	 2.4475
  58	 26.714	   0	   1.64
  59	 25.931	   0	 1.7319
  60	 25.143	   0	  2.032
  61	 24.466	   0	 1.7976
  62	 23.986	   0	 1.6681
  63	 23.584	   0	 3.0813
  64	 23.931	   0	  2.724
  65	 23.824	   0	 3.1684
  66	 23.481	   0	 3.9712
  67	 23.393	   0	 3.6925
  68	 23.733	   0	 2.5324
  69	 23.403	   0	 2.8353
  70	 23.061	   0	 2.1585
  71	 22.862	   0	 2.9018
  72	 22.493	   0	 3.8869
  73	 22.431	   0	 2.3834
  74	 21.766	   0	 3.7952
  75	 21.242	   0	 3.7182
  76	 20.931	   0	 3.8115
  77	 21.084	   0	  3.536
  78	 21.156	   0	 2.5652
  79	 20.469	   0	 2.5824
  80	 19.153	   0	 3.4676
  81	 18.111	   0	  3.289
  82	  17.44	   0	   3.66
  83	 16.663	   0	 3.5858
  84	  15.97	   0	 2.8437
  85	 15.552	   0	 2.7208
  86	 15.258	   0	 3.2705
  87	 15.105	   0	 3.0218
  88	 14.887	   0	 3.0825
  89	 14.614	   0	 3.0193
  90	 14.611	   0	 2.1355
  91	  14.28	   0	 3.0745
  92	  13.81	   0	 3.6353
  93	 12.752	   0	 5.0014
  94	 12.313	   0	 3.2567
  95	 11.802	   0	 3.8332
  96	 11.276	   0	 4.5926
  97	 10.927	   0	 3.4898
  98	 10.984	   0	 3.1219
  99	 10.927	   0	 3.2804
 100	 10.878	   0	 2.4585
 101	 11.179	   0	0.97385
 102	 11.384	   0	 1.4479
 103	 11.456	   0	 2.1843
 104	 12.192	   0	 3.0501
 105	 12.134	   0	 3.4039
 106	 13.038	   0	 2.5378
 107	 13.888	   0	 2.3123
 108	 14.708	   0	 1.4732
 109	 15.405	   0	 1.0985
 110	 15.357	   0	 3.0898
 111	 14.694	   0	 3.2883
 112	 14.081	   0	 3.7724
 113	 13.836	   0	 3.8341
 114	 14.076	   0	 1.9597
 115	 14.554	   0	 2.0185
 116	 15.107	   0	 1.7103
 117	 15.784	   0	 1.5074
 118	 16.397	   0	 1.6493
 119	 16.903	   0	  2.356
 120	 17.307	   0	  2.004
 121	  17.05	   0	 3.0378
 122	 18.385	   0	 3.0181
 123	 19.551	   0	 2.0135
 124	 19.821	   0	 1.6366
 125	  19.68	   0	 1.7851
 126	  19.76	   0	 2.9838
 127	 20.238	   0	 2.8189
 128	 20.627	   0	  2.748
 129	 20.707	   0	 3.1433
 130	 20.503	   0	 3.3175
 131	  21.16	   0	 1.5961
 132	 21.484	   0	 1.8385
 133	 22.241	   0	 1.9397
 134	 22.706	   0	 1.8252
 135	 22.586	   0	 1.8839
 136	 22.946	   0	 1.7488
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 138	 23.479	   0	 1.9556
 139	 23.858	   0	 1.8531
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 141	 24.133	   0	  1.724
 142	 23.741	   0	 1.8737
 143	 23.272	   0	 2.0247
 144	  22.75	   0	 2.1476
 145	 22.311	   0	 1.5227
 146	 21.342	   0	 1.9916
 147	 21.571	   0	 1.4737
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 153	 19.774	   0	 1.8303
 154	 19.104	   0	 2.3811
 155	 18.525	   0	 2.2712
 156	 17.791	   0	 3.2471
 157	 17.301	   0	 2.9559
 158	 16.863	   0	 2.1317
 159	 17.083	   0	0.75056
 160	 16.541	   0	 2.1004
 161	 16.386	   0	 1.5445
 162	 16.199	   0	 2.9747
 163	  16.69	   0	 2.3304
 164	 16.225	   0	 2.8125
 165	 16.112	   0	 2.3793
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 167	 15.698	   0	 1.1284
 168	 15.387	   0	 1.3133
 169	 15.831	   0	 1.5456
 170	 15.579	   0	 1.1284
 171	 15.958	   0	 1.3581
 172	 16.073	   0	 1.9257
 173	  16.14	   0	 1.7695
 174	 16.163	   0	 2.1962
 175	 16.346	   0	 1.6661
 176	 16.594	   0	 1.3827
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 179	 17.264	   0	  2.058
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 182	 17.909	   0	  2.429
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 184	 18.212	   0	 2.3961
 185	 17.711	   0	  2.731
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 189	 18.331	   0	 1.1278
 190	 18.031	   0	 2.3489
 191	 17.758	   0	 1.8954
 192	 17.296	   0	 1.8322
 193	 17.268	   0	 1.7076
 194	  17.07	   0	 1.8735
 195	 16.725	   0	 1.9818
 196	 16.353	   0	 2.2549
 197	 16.309	   0	 1.8454
 198	 15.643	   0	 1.9639
 199	 15.444	   0	 1.8059
 200	 15.364	   0	 1.9544
 201	 15.739	   0	 3.3263
 202	 16.382	   0	 2.2474
 203	 16.852	   0	 1.8393
 204	 17.176	   0	 2.2826
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 206	 17.697	   0	  3.153
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 208	 17.177	   0	  1.864
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 211	 17.911	   0	 1.7764
 212	 18.507	   0	 2.5011
 213	 17.961	   0	 3.1213
 214	 17.174	   0	 2.6426
 215	 16.763	   0	 1.3708
 216	 16.378	   0	0.87659
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 245	 18.565	   0	 1.4103
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 249	 18.145	   0	  1.192
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 251	 17.711	   0	 1.2699
 252	 16.961	   0	 1.8594
 253	 15.929	   0	 1.4686
 254	 14.779	   0	 1.4656
 255	 14.225	   0	 1.5895
 256	 14.149	   0	 2.2154
 257	 14.532	   0	 2.6875
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 259	 15.688	   0	 2.8833
 260	 16.381	   0	 2.5817
 261	 17.125	   0	 2.5483
 262	 17.622	   0	 2.7996
 263	 18.032	   0	 2.3395
 264	 18.189	   0	 2.3802
 265	  18.46	   0	 1.3419
 266	 18.498	   0	 1.5647
 267	 18.194	   0	 2.0707
 268	 17.823	   0	 1.9461
 269	 17.657	   0	 2.5328
 270	 17.078	   0	 2.9195
 271	 16.691	   0	 2.6709
 272	 16.359	   0	 2.6146
 273	  16.15	   0	 1.5664
 274	 16.558	   0	 1.5401
 275	 16.709	   0	 2.2617
 276	  16.77	   0	 2.6276
 277	 16.929	   0	   2.58
 278	 17.052	   0	 2.8014
 279	 17.163	   0	 2.5777
 280	 17.209	   0	 2.8589
 281	  16.98	   0	 3.3698
 282	 17.359	   0	 2.5511
 283	 17.317	   0	 2.5649
 284	 17.328	   0	 1.8605
 285	 16.983	   0	 1.8319
 286	 16.649	   0	 1.5882
 287	 16.225	   0	  1.345
 288	 16.526	   0	 1.9452
 289	 16.396	   0	  1.486
 290	 15.997	   0	 1.4492
 291	 15.455	   0	 1.3282
 292	 15.985	   0	 1.0214
 293	 15.621	   0	 2.7196
 294	 15.589	   0	 2.2149
 295	  16.19	   0	 1.2289
 296	 16.627	   0	 1.2587
 297	 16.984	   0	 1.9379
 298	 17.496	   0	 1.9974
 299	 17.473	   0	 2.1565
 300	 17.342	   0	 3.1348
 301	 17.654	   0	   3.14
 302	 17.743	   0	 3.0611
 303	 17.288	   0	 3.6504
 304	 17.221	   0	 2.6269
 305	 16.963	   0	 2.5562
 306	  16.82	   0	 2.7334
 307	 17.278	   0	 2.0973
 308	 17.556	   0	 2.0446
 309	 18.209	   0	  1.991
 310	 18.939	   0	 2.0786
 311	 19.527	   0	 2.1391
 312	 20.168	   0	 1.9443
 313	  20.67	   0	  1.853
 314	 20.922	   0	0.94485
 315	 20.792	   0	 1.9275
 316	 21.421	   0	  2.064
 317	 22.162	   0	 2.0981
 318	 22.833	   0	 2.3166
 319	 23.365	   0	 1.8852
 320	 23.279	   0	 2.4053
 321	 23.123	   0	 2.2442
 322	 23.089	   0	 1.9309
 323	 22.794	   0	 1.9851
 324	 22.041	   0	 2.2568
 325	 21.263	   0	 2.4878
 326	 20.893	   0	 2.3906
 327	 21.178	   0	 1.8252
 328	 21.086	   0	 2.4081
 329	 21.063	   0	 1.8261
 330	 20.305	   0	 2.1231
 331	 20.281	   0	 1.7219
 332	  20.24	   0	 1.7355
 333	 20.165	   0	  1.874
 334	 20.215	   0	 1.7359
 335	 19.451	   0	  1.887
 336	 18.517	   0	  1.964
 337	 17.605	   0	 1.0344
 338	 16.215	   0	 2.1117
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 341	 13.685	   0	 1.9796
 342	 13.434	   0	 1.1983
 343	 12.576	   0	 1.2555
 344	 11.215	   0	 1.6751
 345	 9.8949	   0	 1.5247
 346	 8.6603	   0	 1.9206
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 348	 8.0967	   0	 2.1963
 349	 8.7872	   0	 1.6432
 350	 9.0144	   0	 2.7313
 351	 9.4862	   0	 3.9757
 352	 9.9411	   0	 2.9342
 353	 10.225	   0	 2.6089
 354	 10.349	   0	 3.0368
 355	 10.994	   0	 1.9539
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 357	  11.05	   0	 1.2179
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 360	 10.689	   0	 2.2588
 361	 10.939	   0	 1.7861
 362	 12.307	   0	 1.6717
 363	 14.445	   0	 2.0421
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 365	 17.765	   0	 1.7579
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 367	 18.939	   0	 2.2398
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 375	 19.532	   0	  1.657
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 382	 23.849	   0	 1.3339
 383	 24.489	   0	 1.3808
 384	 25.051	   0	 1.8974
 385	 25.621	   0	 1.0475
 386	 25.742	   0	0.82999
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 389	 25.864	   0	0.92065
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 391	 25.995	   0	 1.5866
 392	 25.946	   0	 2.2762
 393	 25.395	   0	 2.3988
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 395	 24.415	   0	 1.8936
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 399	 22.898	   0	 2.5862
 400	 22.398	   0	  2.598
 401	 22.335	   0	 2.5558
 402	 21.805	   0	 2.2977
 403	 21.407	   0	  1.698
 404	 20.361	   0	 3.3396
 405	  19.63	   0	  3.124
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 407	 17.606	   0	 3.3931
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 413	 14.859	   0	 2.7802
 414	 14.566	   0	 2.1816
 415	 14.336	   0	 2.1791
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 429	 18.492	   0	 2.0777
 430	 18.753	   0	 2.5273
 431	  18.91	   0	 2.5516
 432	 18.889	   0	 2.5154
 433	 18.565	   0	 3.1481
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 435	 18.357	   0	 2.6223
 436	 18.374	   0	 2.2803
 437	 18.505	   0	 1.7264
 438	 18.502	   0	 1.3005
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 443	 18.415	   0	 2.1451
 444	  17.79	   0	 2.6925
 445	 17.112	   0	 3.0724
 446	   17.4	   0	 2.3513
 447	 17.377	   0	 2.7375
 448	  17.24	   0	 3.0735
 449	 16.839	   0	 3.1051
 450	 16.477	   0	 2.6597
 451	 16.128	   0	 2.8321
 452	 16.243	   0	 2.8111
 453	 16.254	   0	 2.9577
 454	 16.236	   0	 2.5972
 455	 16.116	   0	 2.7778
 456	 15.839	   0	 2.2639
 457	 15.135	   0	  2.275
 458	 14.725	   0	 1.9489
 459	 13.983	   0	 2.1373
 460	 13.199	   0	  2.008
 461	 12.583	   0	 2.4918
 462	 12.186	   0	 2.2072
 463	 11.893	   0	 1.5121
 464	 11.726	   0	 2.4475
 465	 11.908	   0	 2.1931
 466	 12.463	   0	 1.7362
 467	 13.134	   0	  1.238
 468	 12.952	   0	 1.1792
 469	 12.801	   0	0.94598
 470	 13.548	   0	0.49168
 471	 14.447	   0	0.48672
 472	 15.401	   0	0.42604
 473	 16.238	   0	0.81273
 474	 17.039	   0	0.97688
 475	 17.883	   0	 1.3879
 476	 18.464	   0	0.28249
 477	 18.437	   0	0.43665
 478	 18.455	   0	0.23183
 479	 17.901	   0	 1.0847
 480	 17.054	   0	0.64359
 481	 16.165	   0	0.49836
 482	 15.228	   0	0.40356
 483	 14.251	   0	0.28295
 484	 13.283	   0	0.33719
 485	 12.467	   0	0.81157
 486	 12.451	   0	0.84026
 487	 12.654	   0	0.61932
 488	 11.983	   0	0.84034
 489	  11.22	   0	0.70304
 490	 10.528	   0	0.97363
 491	 9.8152	   0	 1.0856
 492	 9.0876	   0	 1.0732
 493	 8.3537	   0	 1.2137
 494	 7.8198	   0	 1.7872
 495	 7.6992	   0	 1.0209
 496	 7.5565	   0	0.94448
 497	 7.4554	   0	0.60821
 498	 6.7883	   0	 1.3292
 499	  6.033	   0	  1.197
 500	 5.2699	   0	 1.0031
 501	 4.4542	   0	0.93027
 502	 3.7763	   0	 1.2531
 503	 3.6396	   0	 1.1156
 504	 3.5037	   0	 1.3401
 505	 3.2641	   0	  1.276
 506	 3.0017	   0	 1.0955
 507	 2.7847	   0	0.91728
 508	 2.7221	   0	0.43398
 509	 2.4777	   0	  1.344
 510	 1.9278	   0	 2.1325
 511	 1.5138	   0	 1.4148
 512	0.87628	   0	 1.5022
 513	0.74922	   0	0.72419
 514	0.57656	   0	0.95516
 515	0.35704	   0	 1.0644
 516	0.20322	   0	0.61932
 517	-4.0523e-15	   0	0.72832
