   1	      0	   0	      0
   2	      0	   0	0.55555
   3	0.12931	   0	0.46794
   4	0.22898	   0	0.087378
   5	0.23998	   0	0.43799
   6	 1.1495	   0	  0.173
   7	 1.1754	   0	0.31449
   8	 2.1186	   0	0.89165
   9	 3.0867	   0	 1.1417
  10	 4.0582	   0	 1.4192
  11	   4.93	   0	0.80449
  12	 5.1031	   0	0.87871
  13	 5.3493	   0	 1.7863
  14	 5.9907	   0	0.72194
  15	 6.1458	   0	0.32152
  16	 5.5453	   0	0.92575
  17	 4.8064	   0	0.89447
  18	 3.9894	   0	0.91033
  19	 3.1076	   0	0.41265
  20	 2.9536	   0	 2.1373
  21	 2.1758	   0	 1.8294
  22	 2.5372	   0	0.61412
  23	 2.4199	   0	 2.2194
  24	 2.3615	   0	 1.7782
  25	  2.304	   0	 1.0518
  26	 2.2588	   0	0.49018
  27	 2.2588	   0	      0
  28	 2.2482	   0	 0.3257
  29	 2.2811	   0	0.093159
  30	  2.293	   0	      0
  31	 2.2761	   0	0.12381
  32	  2.184	   0	0.50928
  33	  2.108	   0	0.38796
  34	 1.9383	   0	 1.9849
  35	 2.0973	   0	 2.3434
  36	 2.3937	   0	0.44909
  37	 2.2781	   0	 1.3786
  38	 2.3276	   0	 1.2616
  39	 2.3138	   0	 1.7165
  40	 2.5128	   0	0.087923
  41	 2.5128	   0	      0
  42	 2.5128	   0	      0
  43	 2.5128	   0	      0
  44	   2.41	   0	 1.0954
  45	 2.4337	   0	 1.0736
  46	  2.552	   0	      0
  47	  2.552	   0	      0
  48	 2.4562	   0	0.45551
  49	 2.4562	   0	0.67661
  50	 2.5253	   0	0.68943
  51	 2.5558	   0	0.89458
  52	 2.3572	   0	 2.3797
  53	 2.0909	   0	 2.6528
  54	 2.1826	   0	0.88944
  55	 2.1538	   0	0.66782
  56	 2.1616	   0	0.21018
  57	 2.1616	   0	      0
  58	 2.1616	   0	      0
  59	 2.1616	   0	      0
  60	 2.1616	   0	      0
  61	 2.1616	   0	      0
  62	 2.1616	   0	      0
  63	 2.1616	   0	      0
  64	 2.1616	   0	      0
  65	 2.1616	   0	0.48956
  66	 2.2528	   0	 0.2315
  67	 2.2844	   0	0.14363
  68	 2.3048	   0	 1.0262
  69	 2.6391	   0	 1.0369
  70	 2.9929	   0	0.90391
  71	 3.3125	   0	0.91009
  72	 3.5058	   0	 1.0627
  73	 3.6482	   0	0.63279
  74	 3.7777	   0	0.47636
  75	 3.8548	   0	0.70657
  76	 3.9285	   0	0.82689
  77	 4.8277	   0	0.70708
  78	 5.5942	   0	0.59053
  79	 5.5304	   0	 1.1822
  80	 6.3823	   0	 1.4347
  81	 7.1629	   0	  1.554
  82	 7.5817	   0	 2.6111
  83	 8.2036	   0	 1.9475
  84	 8.4116	   0	0.50524
  85	 8.5033	   0	0.086562
  86	 8.5142	   0	0.21409
  87	  8.531	   0	0.76288
  88	 8.6211	   0	0.50981
  89	 8.1828	   0	 1.6821
  90	 7.4045	   0	 1.1776
  91	 7.0711	   0	 1.2708
  92	  6.701	   0	  1.082
  93	   7.15	   0	 1.2564
  94	 6.7221	   0	  1.004
  95	 6.1469	   0	0.90159
  96	 6.2011	   0	0.08239
  97	 6.2113	   0	      0
  98	 6.2113	   0	      0
  99	 6.1947	   0	0.33565
 100	 5.9459	   0	 1.5099
 101	 5.6998	   0	 1.8753
 102	 5.4978	   0	 1.8908
 103	 5.3403	   0	 1.4087
 104	 6.1665	   0	0.80634
 105	    7.2	   0	0.61571
 106	 8.2871	   0	 1.8104
 107	 9.8046	   0	 1.4485
 108	 11.193	   0	  1.864
 109	 12.497	   0	 1.1536
 110	 14.144	   0	 2.0535
 111	 15.368	   0	 1.6602
 112	 16.759	   0	 1.3368
 113	 17.951	   0	 1.8194
 114	 19.146	   0	 2.8304
 115	  20.32	   0	 2.6137
 116	 21.085	   0	 2.1445
 117	 21.236	   0	 2.2516
 118	 20.683	   0	 2.5509
 119	  20.65	   0	 2.2706
 120	 20.542	   0	 2.7616
 121	 20.838	   0	 2.8445
 122	  21.53	   0	 1.8456
 123	 22.126	   0	 2.2192
 124	 22.835	   0	  2.677
 125	 23.445	   0	 3.1532
 126	 23.914	   0	 2.8042
 127	 24.136	   0	  2.458
 128	 24.602	   0	 1.7662
 129	 24.966	   0	 1.2706
 130	 25.044	   0	 1.8066
 131	 25.306	   0	   2.74
 132	 25.818	   0	 2.4397
 133	 26.234	   0	  1.826
 134	 26.619	   0	   1.35
 135	 26.851	   0	0.47383
 136	 26.887	   0	0.18506
 137	 26.915	   0	0.15869
 138	 26.893	   0	  1.076
 139	 27.024	   0	 1.0434
 140	 27.094	   0	 2.4054
 141	 27.349	   0	 2.7869
 142	 27.438	   0	 2.5702
 143	  27.28	   0	 2.1894
 144	 27.176	   0	 1.6855
 145	 26.671	   0	 2.1269
 146	 26.488	   0	 2.4343
 147	 25.902	   0	 2.5486
 148	 25.292	   0	 2.3682
 149	 24.684	   0	 2.5538
 150	 25.423	   0	 3.4538
 151	  26.21	   0	 2.3899
 152	 26.607	   0	 1.5444
 153	 26.061	   0	 2.1171
 154	 26.038	   0	 2.6888
 155	 25.883	   0	 2.5064
 156	 25.035	   0	 3.1959
 157	 24.801	   0	 3.4391
 158	 24.882	   0	 2.6337
 159	 24.807	   0	 1.1087
 160	 25.366	   0	 1.8016
 161	 25.397	   0	 1.9813
 162	 25.331	   0	 1.4439
 163	 25.154	   0	 1.5054
 164	  24.83	   0	 1.4068
 165	 24.107	   0	 1.5115
 166	 23.055	   0	 1.4347
 167	 22.172	   0	 1.1222
 168	 21.346	   0	 2.0252
 169	 21.599	   0	  1.223
 170	 21.794	   0	 1.3158
 171	 22.461	   0	 1.8718
 172	 23.014	   0	 1.6599
 173	 23.355	   0	 1.1406
 174	 22.289	   0	  1.298
 175	 21.227	   0	 1.3854
 176	 21.744	   0	 1.2702
 177	 22.043	   0	 1.6102
 178	 21.711	   0	 1.3825
 179	 22.182	   0	0.76646
 180	 22.429	   0	 1.1571
 181	 22.426	   0	 0.9203
 182	 22.088	   0	 1.5474
 183	 22.094	   0	0.29987
 184	 22.063	   0	0.57915
 185	 22.127	   0	0.75544
 186	 21.455	   0	 1.1979
 187	 20.751	   0	  0.861
 188	 19.991	   0	0.61876
 189	 19.115	   0	0.56771
 190	 18.292	   0	 1.1277
 191	 18.585	   0	 1.4403
 192	 19.031	   0	  1.442
 193	 18.694	   0	 1.3542
 194	 18.349	   0	  1.669
 195	 18.043	   0	 1.5795
 196	 18.462	   0	 1.2922
 197	 18.594	   0	 1.0291
 198	 18.471	   0	 1.6454
 199	 18.052	   0	 1.9212
 200	 17.776	   0	 1.2323
 201	 17.017	   0	 3.5178
 202	 17.178	   0	 2.6288
 203	 16.838	   0	 2.4265
 204	 16.299	   0	  2.673
 205	 16.156	   0	 3.1857
 206	 16.166	   0	 1.7195
 207	 16.584	   0	 2.3417
 208	 16.842	   0	 2.8137
 209	     17	   0	 2.9778
 210	 17.049	   0	 2.5582
 211	  17.17	   0	 2.2944
 212	 17.057	   0	 2.1498
 213	 16.446	   0	 2.0633
 214	  16.54	   0	 2.1188
 215	 16.481	   0	 1.9391
 216	 16.143	   0	 1.5418
 217	 15.111	   0	 1.4345
 218	 15.035	   0	 1.4457
 219	 15.464	   0	 1.4237
 220	 16.391	   0	0.41069
 221	  16.53	   0	 1.6027
 222	 16.628	   0	 2.1668
 223	 16.797	   0	 2.0949
 224	 16.873	   0	 2.3216
 225	 17.081	   0	 1.6592
 226	 17.244	   0	 1.2017
 227	 16.858	   0	 2.1396
 228	 16.655	   0	 2.7831
 229	 16.871	   0	 2.7355
 230	 16.826	   0	 2.8487
 231	 17.172	   0	 1.7009
 232	 17.467	   0	 1.3119
 233	  17.74	   0	 1.5519
 234	 18.187	   0	  2.203
 235	 18.626	   0	 2.3242
 236	 19.122	   0	 1.9943
 237	 19.677	   0	 3.4827
 238	 20.216	   0	 4.2129
 239	 21.128	   0	 3.1244
 240	 21.847	   0	 1.3778
 241	 22.087	   0	 1.6656
 242	 22.174	   0	  2.347
 243	 22.362	   0	 2.2488
 244	 23.487	   0	 1.3928
 245	 24.261	   0	 1.8666
 246	 24.072	   0	 2.2163
 247	 25.288	   0	   1.42
 248	 26.191	   0	 1.5408
 249	 26.685	   0	 1.8358
 250	 27.143	   0	 2.2776
 251	 28.087	   0	 2.9056
 252	 28.616	   0	 2.9337
 253	 29.031	   0	 2.2089
 254	 29.523	   0	0.68144
 255	 28.983	   0	 2.4823
 256	   28.3	   0	  2.428
 257	 28.028	   0	 2.5129
 258	 27.708	   0	 2.7472
 259	 27.341	   0	  3.014
 260	 27.192	   0	 2.7888
 261	 27.803	   0	 3.0773
 262	 29.032	   0	 1.6231
 263	 29.851	   0	 2.5968
 264	  30.67	   0	 2.5306
 265	 30.705	   0	 2.1599
 266	 30.905	   0	 2.5943
 267	 30.981	   0	 2.8116
 268	 30.915	   0	   2.86
 269	 30.904	   0	 2.6703
 270	 30.798	   0	 2.9483
 271	 31.527	   0	 2.8214
 272	 31.787	   0	 3.5133
 273	 32.329	   0	 3.5956
 274	 33.014	   0	 3.4899
 275	 32.971	   0	 3.7974
 276	 32.648	   0	 2.2126
 277	   31.9	   0	 1.2782
 278	 30.913	   0	0.92719
 279	  29.99	   0	0.88472
 280	 29.409	   0	 1.2966
 281	  28.88	   0	 1.1933
 282	 28.384	   0	  1.606
 283	  28.61	   0	 1.1224
 284	 28.407	   0	 1.1193
 285	 28.261	   0	  1.101
 286	 28.018	   0	 1.4843
 287	 27.583	   0	 1.9273
 288	 27.858	   0	 1.8635
 289	 28.003	   0	 2.2083
 290	 27.825	   0	 1.9014
 291	 26.817	   0	  2.338
 292	 26.819	   0	 1.7651
 293	 26.651	   0	 2.1191
 294	 26.695	   0	 2.0447
 295	 26.812	   0	0.98376
 296	 26.585	   0	 0.8479
 297	 26.278	   0	0.73228
 298	 26.833	   0	0.21498
 299	 25.859	   0	 1.4713
 300	 25.139	   0	 1.0862
 301	 25.039	   0	  1.903
 302	 24.717	   0	 2.0639
 303	 23.641	   0	 1.9134
 304	 23.042	   0	 1.5925
 305	 22.023	   0	 2.1431
 306	 20.743	   0	 2.2826
 307	 20.337	   0	 1.5134
 308	 20.394	   0	0.22016
 309	 20.258	   0	0.84016
 310	 20.168	   0	0.57275
 311	 20.121	   0	0.27428
 312	 19.755	   0	 1.4288
 313	  18.88	   0	 2.6738
 314	 18.594	   0	 2.4764
 315	   18.1	   0	    1.6
 316	  18.22	   0	  1.709
 317	 18.651	   0	 1.7922
 318	 18.723	   0	 1.5856
 319	 18.809	   0	 1.8797
 320	 18.618	   0	 1.5191
 321	 17.939	   0	 1.8747
 322	 17.313	   0	 1.1931
 323	 16.771	   0	 1.1244
 324	  15.49	   0	 2.1006
 325	 13.925	   0	 1.9116
 326	 12.497	   0	 1.8907
 327	 12.608	   0	 0.7694
 328	 13.705	   0	  1.187
 329	 14.201	   0	 1.8981
 330	 14.381	   0	 2.4065
 331	 14.757	   0	 2.6388
 332	 14.894	   0	 3.2734
 333	 15.398	   0	 2.7685
 334	  15.06	   0	  2.671
 335	 14.241	   0	 3.7603
 336	 14.324	   0	 3.7226
 337	 14.296	   0	  4.151
 338	 14.553	   0	  3.825
 339	 14.392	   0	 3.4833
 340	 15.079	   0	 1.1801
 341	 15.308	   0	      0
 342	 15.308	   0	0.16166
 343	 15.331	   0	 1.1064
 344	 15.931	   0	  1.364
 345	 16.619	   0	  1.259
 346	  17.27	   0	 1.2679
 347	 17.771	   0	0.84135
 348	 18.762	   0	 2.2042
 349	 19.366	   0	 1.0102
 350	 19.524	   0	0.74626
 351	 19.642	   0	0.54832
 352	 19.721	   0	0.081856
 353	 19.166	   0	 1.3923
 354	 18.339	   0	 2.0314
 355	  17.75	   0	  2.519
 356	 17.269	   0	  2.719
 357	  17.58	   0	 2.5215
 358	 18.348	   0	 2.4707
 359	 18.888	   0	 3.2884
 360	 19.363	   0	 3.0299
 361	 19.791	   0	 3.2437
 362	 20.227	   0	 3.1225
 363	 20.725	   0	 2.6891
 364	 21.508	   0	 2.6313
 365	 22.236	   0	  2.497
 366	  22.95	   0	 2.5705
 367	 23.421	   0	 2.5815
 368	 24.082	   0	0.50319
 369	 23.993	   0	 2.0062
 370	 24.612	   0	 2.0032
 371	  24.96	   0	 2.7446
 372	 25.445	   0	  2.526
 373	 25.679	   0	 1.2309
 374	 25.697	   0	 1.6601
 375	 26.082	   0	 1.6086
 376	 26.048	   0	 2.7973
 377	 25.974	   0	 3.0621
 378	 25.891	   0	  2.761
 379	 25.418	   0	 2.0352
 380	 24.748	   0	 2.5886
 381	 25.042	   0	 2.1127
 382	 24.567	   0	 3.0507
 383	 23.809	   0	 3.6672
 384	 23.326	   0	 3.4487
 385	 22.543	   0	 3.9713
 386	 22.196	   0	 2.9388
 387	 21.963	   0	 2.9028
 388	 21.974	   0	 1.5569
 389	 20.667	   0	 2.9952
 390	 19.849	   0	 3.6309
 391	 19.319	   0	 3.7617
 392	 18.664	   0	  3.868
 393	 17.518	   0	 3.9716
 394	 16.456	   0	  2.452
 395	 16.561	   0	0.86355
 396	 16.253	   0	 2.3619
 397	 16.561	   0	 1.3054
 398	 16.305	   0	 2.5846
 399	 15.572	   0	 3.2545
 400	 15.094	   0	 3.3516
 401	  14.52	   0	 2.7568
 402	 15.081	   0	 1.2056
 403	 15.777	   0	0.96188
 404	 16.375	   0	0.84556
 405	 16.802	   0	 1.4826
 406	 16.856	   0	 2.5392
 407	 16.848	   0	  2.461
 408	 16.901	   0	 1.9643
 409	 17.275	   0	 1.3687
 410	 17.671	   0	 1.4821
 411	 17.939	   0	 1.5186
 412	 17.782	   0	 1.9928
 413	 18.098	   0	  2.857
 414	 18.445	   0	 2.7778
 415	 18.735	   0	  3.206
 416	 18.531	   0	 3.1615
 417	 19.164	   0	 2.6602
 418	 19.977	   0	 2.2251
 419	 20.799	   0	 1.1209
 420	 20.856	   0	0.98642
 421	 20.969	   0	0.39304
 422	 20.921	   0	 1.3757
 423	 20.308	   0	 2.0076
 424	 19.747	   0	 2.1744
 425	 19.238	   0	 1.6637
 426	 18.656	   0	 1.3983
 427	 18.198	   0	 1.4081
 428	 17.619	   0	 1.5604
 429	 16.933	   0	 1.9256
 430	 16.158	   0	 2.5267
 431	   16.5	   0	 2.1991
 432	 16.123	   0	 2.3286
 433	 15.979	   0	 1.9652
 434	 15.406	   0	 1.8304
 435	 14.832	   0	 2.1371
 436	  14.44	   0	 1.7183
 437	 14.822	   0	 1.3544
 438	 15.062	   0	0.86849
 439	   14.4	   0	 2.1138
 440	 13.521	   0	  2.281
 441	  12.33	   0	  2.308
 442	 11.646	   0	 3.9234
 443	 12.217	   0	 3.8694
 444	 12.915	   0	 1.2942
 445	 12.263	   0	 2.5291
 446	 12.755	   0	 1.6035
 447	 12.427	   0	 3.2556
 448	 12.813	   0	  1.004
 449	 12.047	   0	 3.2514
 450	 11.622	   0	 3.0628
 451	 11.389	   0	 1.6614
 452	 11.011	   0	 2.5157
 453	 10.545	   0	 5.2206
 454	 10.922	   0	 3.8653
 455	 11.211	   0	 1.9884
 456	 11.747	   0	 2.5971
 457	 12.865	   0	 1.2543
 458	 13.607	   0	 2.1538
 459	 14.686	   0	 2.6812
 460	 15.587	   0	 2.6543
 461	 16.628	   0	 2.7873
 462	 17.779	   0	 2.0553
 463	 18.544	   0	0.087378
 464	 18.532	   0	 1.1201
 465	 19.063	   0	 1.4548
 466	 19.989	   0	 1.4299
 467	 20.998	   0	  1.727
 468	 21.783	   0	 2.0938
 469	 22.449	   0	 1.0759
 470	 22.774	   0	 1.6532
 471	 23.538	   0	 1.5308
 472	 24.237	   0	 1.7318
 473	 24.933	   0	 2.3233
 474	 26.034	   0	 2.6187
 475	 26.355	   0	 2.1639
 476	 25.889	   0	 1.6254
 477	 25.865	   0	 1.6677
 478	 25.751	   0	 1.8079
 479	  25.25	   0	 2.1065
 480	 24.331	   0	 1.9005
 481	   23.8	   0	 1.8377
 482	 23.119	   0	 1.7645
 483	 22.602	   0	  1.585
 484	 22.073	   0	  1.756
 485	 21.345	   0	 1.8031
 486	 20.395	   0	 2.4461
 487	 19.974	   0	  1.666
 488	 19.222	   0	 1.5852
 489	 19.583	   0	 1.5915
 490	  19.67	   0	  2.366
 491	 19.652	   0	 2.7791
 492	 19.578	   0	 2.8175
 493	 19.622	   0	 1.9813
 494	 19.485	   0	   1.75
 495	 18.551	   0	 1.9606
 496	 17.786	   0	 2.6387
 497	 18.028	   0	 1.6155
 498	 17.507	   0	 3.1683
 499	 17.384	   0	 2.5777
 500	 17.369	   0	   2.89
 501	  17.58	   0	  3.166
 502	 18.472	   0	 1.9293
 503	 19.198	   0	 2.4523
 504	 18.802	   0	 3.6898
 505	 18.887	   0	 2.9076
 506	 18.594	   0	 2.6172
 507	 18.486	   0	 2.2866
 508	 18.176	   0	 1.5042
 509	  17.66	   0	 1.7151
 510	 17.597	   0	 1.8366
 511	 17.458	   0	 2.8732
 512	 17.836	   0	0.81132
 513	 17.581	   0	 1.9929
 514	 17.377	   0	 1.7354
 515	 17.225	   0	 1.7058
 516	 17.336	   0	 1.9515
 517	 17.316	   0	 2.0368
 518	 17.401	   0	 2.0978
 519	  17.62	   0	 2.2923
 520	 17.885	   0	 2.2619
 521	 18.289	   0	 1.1441
 522	 18.027	   0	 1.3473
 523	 17.688	   0	 1.3404
 524	  17.28	   0	 1.4935
 525	 16.164	   0	 2.2691
 526	 15.254	   0	   2.31
 527	 14.325	   0	 2.3349
 528	 13.493	   0	 1.8872
 529	 12.587	   0	 2.3376
 530	 11.992	   0	 1.9882
 531	 11.606	   0	 2.2218
 532	 11.428	   0	 1.6719
 533	 10.773	   0	 2.2903
 534	  10.19	   0	 2.1625
 535	 9.7177	   0	  1.356
 536	 9.0626	   0	 1.4575
 537	 9.0203	   0	0.25298
 538	 8.5554	   0	0.99643
 539	 8.0328	   0	 1.1841
 540	 7.2763	   0	 2.0279
 541	 6.9566	   0	 1.5568
 542	 6.0288	   0	 1.4359
 543	 5.7763	   0	 1.0827
 544	 5.6322	   0	0.84529
 545	 5.4992	   0	0.75631
 546	 4.7734	   0	 1.2312
 547	 3.9887	   0	 1.0734
 548	 3.1625	   0	0.76886
 549	 2.2612	   0	0.46467
 550	 1.2644	   0	0.031109
 551	0.43372	   0	0.65622
 552	0.33247	   0	0.47295
 553	3.0642e-14	   0	0.91743
 554	3.0642e-14	   0	      0
 555	3.0642e-14	   0	      0
 556	3.0642e-14	   0	      0
