   1	      0	   0	      0
   2	      0	   0	0.065721
   3	0.99222	   0	0.17612
   4	 1.9658	   0	0.39583
   5	 2.8876	   0	0.81256
   6	 3.9659	   0	 1.1599
   7	 4.8292	   0	 1.5747
   8	 5.7297	   0	 1.2644
   9	 6.6569	   0	 1.3766
  10	 7.4703	   0	 1.2037
  11	 8.1331	   0	0.64524
  12	 8.2379	   0	      0
  13	 8.2222	   0	 0.7212
  14	 8.2962	   0	 0.3307
  15	 8.3152	   0	 0.2465
  16	 8.3222	   0	0.59902
  17	 8.4101	   0	      0
  18	 7.7852	   0	 1.6101
  19	 8.3155	   0	 1.1215
  20	 8.6592	   0	 1.4062
  21	 9.4378	   0	 1.1675
  22	 9.3014	   0	 1.6709
  23	 10.096	   0	  1.242
  24	 10.772	   0	 1.1655
  25	 11.325	   0	 1.4508
  26	 11.615	   0	0.72994
  27	 10.757	   0	 1.3657
  28	 11.953	   0	 1.7542
  29	 13.169	   0	 1.7245
  30	 14.271	   0	 1.4523
  31	 15.291	   0	 1.8768
  32	 15.922	   0	 1.9825
  33	 16.505	   0	 1.9107
  34	 17.152	   0	 2.4497
  35	 17.482	   0	 2.3252
  36	 17.668	   0	 2.2059
  37	  17.75	   0	 1.9957
  38	 17.638	   0	  2.115
  39	 17.993	   0	0.54505
  40	  17.57	   0	 2.2075
  41	  17.71	   0	 2.1794
  42	 17.828	   0	 2.9535
  43	 18.782	   0	 1.8637
  44	 19.118	   0	 2.8023
  45	 19.597	   0	0.65618
  46	 19.635	   0	0.25243
  47	  19.63	   0	0.68917
  48	 19.701	   0	0.21161
  49	 19.695	   0	 1.9905
  50	 20.132	   0	 1.3007
  51	 20.466	   0	 1.0236
  52	 20.715	   0	 1.0299
  53	  20.94	   0	0.95851
  54	 21.117	   0	 0.5597
  55	 21.185	   0	  1.799
  56	 21.482	   0	 1.2587
  57	 21.614	   0	0.74873
  58	 21.498	   0	 1.6176
  59	 21.515	   0	 1.5829
  60	 21.645	   0	0.63441
  61	 21.577	   0	 2.6338
  62	  21.83	   0	 1.1542
  63	 21.956	   0	0.15168
  64	 21.966	   0	0.54376
  65	 22.043	   0	0.82901
  66	 22.181	   0	      0
  67	 22.169	   0	0.092187
  68	 22.099	   0	 1.9617
  69	 22.482	   0	 1.3558
  70	 22.696	   0	 2.8565
  71	 23.927	   0	 4.0067
  72	 25.278	   0	 4.3565
  73	 26.313	   0	 2.9183
  74	  26.78	   0	 3.6473
  75	 26.929	   0	 3.1629
  76	 26.839	   0	 3.1673
  77	 26.397	   0	  4.671
  78	 26.164	   0	 5.0218
  79	 26.474	   0	  3.385
  80	 26.494	   0	 4.2488
  81	 26.896	   0	 1.9932
  82	 26.467	   0	 3.9151
  83	 26.338	   0	 3.5835
  84	 25.478	   0	 4.0024
  85	 24.577	   0	 3.3271
  86	 23.681	   0	 2.1472
  87	 24.205	   0	0.68607
  88	 23.402	   0	 2.5636
  89	 22.788	   0	 2.8119
  90	 22.098	   0	  3.121
  91	 21.344	   0	 3.1733
  92	 22.033	   0	 1.5909
  93	 21.981	   0	 2.4884
  94	   21.9	   0	 2.5293
  95	 22.021	   0	 2.8157
  96	  22.56	   0	 2.2975
  97	 22.893	   0	 2.8307
  98	 22.883	   0	 2.1773
  99	 23.109	   0	 2.8149
 100	 23.313	   0	 2.3287
 101	 23.282	   0	 2.1223
 102	 22.963	   0	 1.6719
 103	 23.405	   0	  2.238
 104	 24.082	   0	 2.7352
 105	 24.807	   0	 1.8645
 106	 25.087	   0	 2.7603
 107	 25.265	   0	 2.7107
 108	 25.209	   0	 1.7698
 109	 24.792	   0	 2.4127
 110	 25.408	   0	 1.8805
 111	  25.36	   0	 2.8487
 112	 25.423	   0	 2.7105
 113	 25.424	   0	 2.8979
 114	 25.361	   0	  3.114
 115	 25.045	   0	 1.2926
 116	 25.362	   0	 1.8477
 117	 25.762	   0	 1.6538
 118	 26.106	   0	 1.6952
 119	 26.031	   0	 1.1606
 120	 26.143	   0	   2.36
 121	 26.601	   0	  2.154
 122	 26.257	   0	 2.6283
 123	 27.021	   0	 1.9601
 124	 27.126	   0	 3.1986
 125	 27.497	   0	 2.9539
 126	 27.652	   0	 2.0843
 127	 26.876	   0	 2.5136
 128	  26.72	   0	  2.678
 129	 27.475	   0	 1.7164
 130	 27.803	   0	 2.6519
 131	 28.169	   0	 2.3166
 132	 28.323	   0	0.62597
 133	 27.928	   0	 1.6805
 134	 27.493	   0	 1.4814
 135	  26.69	   0	 2.0903
 136	 26.191	   0	 2.1406
 137	 25.013	   0	 2.3605
 138	 23.905	   0	 1.4181
 139	 23.258	   0	 1.7818
 140	 22.507	   0	 1.5639
 141	 22.543	   0	0.66352
 142	 21.937	   0	 1.5566
 143	 21.365	   0	 1.6342
 144	 21.155	   0	 2.4432
 145	  20.78	   0	 2.1854
 146	 20.908	   0	 2.6941
 147	 20.551	   0	 1.3089
 148	 19.808	   0	 1.6908
 149	 20.105	   0	 1.4467
 150	 20.781	   0	 1.7748
 151	 20.442	   0	 3.0385
 152	 20.561	   0	 2.1099
 153	 20.546	   0	  2.317
 154	 20.715	   0	 2.0757
 155	 20.633	   0	 1.2823
 156	 20.014	   0	 2.0433
 157	 20.063	   0	 1.6153
 158	 20.054	   0	 1.3643
 159	 20.509	   0	 1.9289
 160	 21.065	   0	  2.616
 161	 21.903	   0	 2.6569
 162	 23.273	   0	 1.7523
 163	 23.743	   0	 1.7304
 164	 24.518	   0	 1.6242
 165	 25.081	   0	 1.7252
 166	 25.537	   0	 2.0948
 167	 25.412	   0	 2.2635
 168	 25.079	   0	 2.1707
 169	 24.301	   0	 2.0516
 170	 23.942	   0	 1.8025
 171	 23.634	   0	 1.4089
 172	 24.251	   0	0.98019
 173	 24.389	   0	  1.951
 174	 24.721	   0	0.67364
 175	 24.788	   0	 0.2568
 176	 24.729	   0	 1.5162
 177	 25.305	   0	   1.71
 178	 25.884	   0	 2.1488
 179	 26.535	   0	 1.1555
 180	 26.877	   0	0.89442
 181	 26.474	   0	 2.0118
 182	 26.655	   0	 2.6217
 183	  27.08	   0	 2.5466
 184	 27.001	   0	 3.9271
 185	 27.118	   0	 2.6205
 186	 26.713	   0	  2.021
 187	 26.838	   0	0.37111
 188	 26.779	   0	0.62878
 189	 26.391	   0	 2.3469
 190	 26.133	   0	  1.624
 191	 25.598	   0	 2.0778
 192	 25.722	   0	 2.2858
 193	 25.702	   0	 3.0819
 194	 26.105	   0	 2.5712
 195	 26.267	   0	 2.4903
 196	 26.775	   0	 1.3379
 197	 26.596	   0	 2.2591
 198	 26.429	   0	 1.1357
 199	 26.315	   0	 1.0837
 200	 26.082	   0	 1.8022
 201	 26.022	   0	 1.2257
 202	 25.439	   0	 1.8243
 203	 24.374	   0	 2.7793
 204	 23.654	   0	 2.9085
 205	 23.868	   0	 3.2282
 206	 24.398	   0	 2.4048
 207	 24.241	   0	 1.5746
 208	 23.183	   0	 3.2627
 209	 23.459	   0	 4.1731
 210	 23.817	   0	 2.8267
 211	  24.02	   0	 1.4084
 212	 24.394	   0	0.091218
 213	 23.851	   0	 2.6946
 214	 23.532	   0	 1.8138
 215	 23.036	   0	 1.3731
 216	 22.364	   0	 1.8476
 217	 22.456	   0	 1.8875
 218	 22.667	   0	  2.352
 219	  22.61	   0	 2.9512
 220	 22.665	   0	 2.6329
 221	 22.658	   0	 2.8092
 222	 22.992	   0	 3.5474
 223	 23.165	   0	 1.4646
 224	 22.578	   0	 2.6182
 225	 22.225	   0	 3.5548
 226	 22.578	   0	 3.6679
 227	 23.556	   0	 3.0172
 228	  24.19	   0	 2.9399
 229	 24.085	   0	 3.0905
 230	 24.853	   0	 1.7529
 231	 25.069	   0	  1.371
 232	 25.028	   0	0.60796
 233	 25.016	   0	 0.6002
 234	 24.548	   0	 3.1649
 235	 24.531	   0	 2.6169
 236	 24.412	   0	 2.4412
 237	 24.298	   0	 1.8727
 238	 24.028	   0	 2.6664
 239	 23.842	   0	   2.89
 240	  23.34	   0	 2.7699
 241	 23.181	   0	 1.8802
 242	 22.586	   0	 1.7416
 243	  22.42	   0	 1.7406
 244	 22.443	   0	      0
 245	 22.407	   0	0.99134
 246	 22.504	   0	 1.5269
 247	 21.995	   0	 2.3819
 248	 21.766	   0	  2.198
 249	  22.44	   0	 3.2053
 250	 22.545	   0	 3.3333
 251	 22.805	   0	 1.9426
 252	  22.84	   0	 2.0656
 253	 22.906	   0	 1.1902
 254	 22.719	   0	 1.5773
 255	 22.919	   0	 1.6667
 256	 22.979	   0	 2.0494
 257	 23.347	   0	 1.3832
 258	 23.564	   0	 2.1074
 259	 23.211	   0	 2.8548
 260	 22.628	   0	 3.3772
 261	 23.316	   0	 1.5242
 262	 23.304	   0	 1.5843
 263	 23.005	   0	 2.2726
 264	 23.767	   0	 1.9458
 265	 24.611	   0	 1.7808
 266	 24.835	   0	0.65162
 267	 24.857	   0	0.46619
 268	 24.865	   0	0.86254
 269	 25.053	   0	0.95356
 270	  24.59	   0	 1.2663
 271	 24.064	   0	 1.5276
 272	 22.694	   0	 2.4597
 273	 21.426	   0	  1.892
 274	 20.655	   0	 1.4599
 275	 20.811	   0	 1.0709
 276	 19.933	   0	 1.5609
 277	 19.217	   0	 2.3888
 278	 19.293	   0	 2.2827
 279	 18.868	   0	 1.2977
 280	 18.211	   0	0.89038
 281	 18.247	   0	      0
 282	 17.459	   0	 1.3155
 283	  16.58	   0	  1.393
 284	  16.43	   0	 2.1031
 285	  17.11	   0	 1.9293
 286	 17.841	   0	 2.6649
 287	 18.237	   0	 3.7155
 288	 18.899	   0	 5.0007
 289	 18.765	   0	 4.7364
 290	 18.378	   0	 4.7702
 291	 18.343	   0	 1.9767
 292	 18.335	   0	 1.5726
 293	 18.533	   0	 2.9493
 294	 19.093	   0	 2.1527
 295	 19.629	   0	  1.943
 296	 20.372	   0	0.70185
 297	 20.463	   0	0.088743
 298	 20.295	   0	 1.6916
 299	 19.986	   0	 2.8946
 300	 20.362	   0	 2.2989
 301	 20.583	   0	 1.9422
 302	 20.294	   0	 1.9616
 303	 20.107	   0	 1.1188
 304	 19.512	   0	 2.1238
 305	 18.917	   0	 2.0799
 306	 18.889	   0	 2.1539
 307	 18.633	   0	 3.1636
 308	 18.515	   0	 2.8547
 309	 18.669	   0	 1.3985
 310	 18.822	   0	 1.3255
 311	 18.677	   0	  2.378
 312	 18.481	   0	 2.8762
 313	 18.776	   0	 3.0509
 314	 18.841	   0	 2.7214
 315	 18.531	   0	 3.1062
 316	 17.717	   0	 2.7504
 317	  18.25	   0	0.65032
 318	 17.916	   0	  1.655
 319	 17.553	   0	 2.0337
 320	 17.334	   0	 1.2267
 321	 18.132	   0	0.61582
 322	 18.827	   0	 1.1182
 323	 19.422	   0	 1.3235
 324	 20.022	   0	 1.2347
 325	 19.875	   0	0.73649
 326	 19.831	   0	0.29723
 327	 19.525	   0	 1.9868
 328	  19.16	   0	 2.0883
 329	 19.298	   0	0.97979
 330	 18.464	   0	0.93137
 331	 17.669	   0	    0.9
 332	 16.926	   0	 1.3174
 333	 16.273	   0	 1.2837
 334	 15.841	   0	 2.4377
 335	 15.777	   0	 2.5983
 336	 15.782	   0	 2.7303
 337	 15.674	   0	 2.7144
 338	 15.512	   0	 2.9546
 339	 15.515	   0	 1.7539
 340	 14.987	   0	 2.6171
 341	 15.248	   0	 1.6312
 342	 14.616	   0	 1.5091
 343	  14.65	   0	  0.742
 344	 14.511	   0	 1.2046
 345	 14.926	   0	  1.339
 346	 14.797	   0	 1.2222
 347	  15.22	   0	 1.2064
 348	 15.504	   0	 1.3531
 349	 15.842	   0	 1.2317
 350	 15.979	   0	 1.7215
 351	 15.473	   0	 1.8486
 352	 15.373	   0	 2.7395
 353	 15.186	   0	 2.4869
 354	 14.794	   0	 1.6067
 355	 13.706	   0	 2.1208
 356	 13.319	   0	 2.2721
 357	 13.195	   0	0.72085
 358	 13.014	   0	 1.8342
 359	 12.889	   0	 2.5582
 360	 12.606	   0	 2.4118
 361	 12.235	   0	 2.0064
 362	  12.23	   0	 1.3699
 363	 11.343	   0	 1.7529
 364	 10.609	   0	 1.5984
 365	 9.6432	   0	 2.4806
 366	 8.9496	   0	 2.3244
 367	 8.2272	   0	 2.5005
 368	 7.4686	   0	 1.5732
 369	 7.0222	   0	 1.1438
 370	 6.3469	   0	 1.2332
 371	 6.3363	   0	0.84367
 372	 5.7283	   0	 1.5024
 373	 5.8534	   0	 1.8736
 374	 5.9742	   0	 2.2724
 375	 6.4635	   0	 1.1965
 376	 6.4554	   0	   1.64
 377	 6.5038	   0	0.57685
 378	 6.5038	   0	      0
 379	 6.5038	   0	      0
 380	 5.9632	   0	 2.0175
 381	 5.4913	   0	 2.2525
 382	 5.1365	   0	 2.2119
 383	 5.3151	   0	0.095955
 384	 4.9394	   0	 1.0604
 385	 5.3831	   0	 1.2105
 386	 5.7994	   0	 1.4686
 387	 6.1188	   0	 1.9119
 388	 6.4505	   0	 1.1948
 389	 6.2885	   0	 2.2917
 390	 6.5763	   0	0.71574
 391	 6.0681	   0	  2.214
 392	 5.8662	   0	 1.5873
 393	 5.2606	   0	 1.6462
 394	 4.8907	   0	 1.0534
 395	 4.8907	   0	      0
 396	 4.8907	   0	      0
 397	 4.7809	   0	  0.659
 398	 4.7809	   0	      0
 399	 4.7809	   0	      0
 400	 4.3659	   0	 1.2993
 401	 3.8318	   0	 1.4902
 402	 3.1489	   0	 1.8171
 403	 2.3378	   0	 1.0632
 404	 1.3701	   0	0.61116
 405	0.43946	   0	0.54649
 406	0.38513	   0	0.30454
 407	0.15109	   0	 1.0041
 408	3.7942e-14	   0	0.61256
