divpro.RdCompute observed Hill diversity profile based on an abundance vector over a range of scaling exponent values.
divpro(ab, ell_low = -1, ell_hi = 1, by = 0.001, use.q = FALSE)A numeric vector of species abundances or relative abundances.
Scalar, minimum scaling exponent for diversity profile.
Scalar, maximum scaling exponent for diversity profile.
Scalar, size of step along scaling exponent continuum.
Logical, use traditional q parameterization, where q= 1-l.
Dataframe with the scaling exponent ell and corresponding
Hill diversity d
Hill diversity can be viewed as a continuous function of the scaling exponent \(\ell\) and the relative abundance distribution. As \(\ell\) increases, so does the emphasis on rare species. It is traditional to view the profile across \(\ell = [-1, 1]\) or \(\ell = [-2, 1]\), and other authors have visualized this with low values of \(\ell\) at the right instead of left.
divpro(c(20,8,5,4,2,1))
#> ell d
#> 1 -1.000 3.137255
#> 2 -0.999 3.137860
#> 3 -0.998 3.138466
#> 4 -0.997 3.139072
#> 5 -0.996 3.139679
#> 6 -0.995 3.140286
#> 7 -0.994 3.140893
#> 8 -0.993 3.141501
#> 9 -0.992 3.142110
#> 10 -0.991 3.142719
#> 11 -0.990 3.143328
#> 12 -0.989 3.143938
#> 13 -0.988 3.144548
#> 14 -0.987 3.145159
#> 15 -0.986 3.145771
#> 16 -0.985 3.146382
#> 17 -0.984 3.146995
#> 18 -0.983 3.147607
#> 19 -0.982 3.148221
#> 20 -0.981 3.148834
#> 21 -0.980 3.149448
#> 22 -0.979 3.150063
#> 23 -0.978 3.150678
#> 24 -0.977 3.151294
#> 25 -0.976 3.151910
#> 26 -0.975 3.152526
#> 27 -0.974 3.153143
#> 28 -0.973 3.153761
#> 29 -0.972 3.154379
#> 30 -0.971 3.154997
#> 31 -0.970 3.155616
#> 32 -0.969 3.156236
#> 33 -0.968 3.156856
#> 34 -0.967 3.157476
#> 35 -0.966 3.158097
#> 36 -0.965 3.158718
#> 37 -0.964 3.159340
#> 38 -0.963 3.159962
#> 39 -0.962 3.160585
#> 40 -0.961 3.161208
#> 41 -0.960 3.161832
#> 42 -0.959 3.162456
#> 43 -0.958 3.163081
#> 44 -0.957 3.163706
#> 45 -0.956 3.164332
#> 46 -0.955 3.164958
#> 47 -0.954 3.165585
#> 48 -0.953 3.166212
#> 49 -0.952 3.166840
#> 50 -0.951 3.167468
#> 51 -0.950 3.168097
#> 52 -0.949 3.168726
#> 53 -0.948 3.169355
#> 54 -0.947 3.169985
#> 55 -0.946 3.170616
#> 56 -0.945 3.171247
#> 57 -0.944 3.171879
#> 58 -0.943 3.172511
#> 59 -0.942 3.173143
#> 60 -0.941 3.173776
#> 61 -0.940 3.174410
#> 62 -0.939 3.175044
#> 63 -0.938 3.175678
#> 64 -0.937 3.176313
#> 65 -0.936 3.176949
#> 66 -0.935 3.177585
#> 67 -0.934 3.178221
#> 68 -0.933 3.178858
#> 69 -0.932 3.179496
#> 70 -0.931 3.180134
#> 71 -0.930 3.180772
#> 72 -0.929 3.181411
#> 73 -0.928 3.182051
#> 74 -0.927 3.182691
#> 75 -0.926 3.183331
#> 76 -0.925 3.183972
#> 77 -0.924 3.184614
#> 78 -0.923 3.185256
#> 79 -0.922 3.185898
#> 80 -0.921 3.186541
#> 81 -0.920 3.187184
#> 82 -0.919 3.187828
#> 83 -0.918 3.188473
#> 84 -0.917 3.189118
#> 85 -0.916 3.189763
#> 86 -0.915 3.190409
#> 87 -0.914 3.191056
#> 88 -0.913 3.191703
#> 89 -0.912 3.192350
#> 90 -0.911 3.192998
#> 91 -0.910 3.193647
#> 92 -0.909 3.194296
#> 93 -0.908 3.194945
#> 94 -0.907 3.195595
#> 95 -0.906 3.196246
#> 96 -0.905 3.196897
#> 97 -0.904 3.197548
#> 98 -0.903 3.198200
#> 99 -0.902 3.198853
#> 100 -0.901 3.199506
#> 101 -0.900 3.200160
#> 102 -0.899 3.200814
#> 103 -0.898 3.201468
#> 104 -0.897 3.202123
#> 105 -0.896 3.202779
#> 106 -0.895 3.203435
#> 107 -0.894 3.204092
#> 108 -0.893 3.204749
#> 109 -0.892 3.205407
#> 110 -0.891 3.206065
#> 111 -0.890 3.206723
#> 112 -0.889 3.207383
#> 113 -0.888 3.208042
#> 114 -0.887 3.208703
#> 115 -0.886 3.209363
#> 116 -0.885 3.210025
#> 117 -0.884 3.210686
#> 118 -0.883 3.211349
#> 119 -0.882 3.212012
#> 120 -0.881 3.212675
#> 121 -0.880 3.213339
#> 122 -0.879 3.214003
#> 123 -0.878 3.214668
#> 124 -0.877 3.215333
#> 125 -0.876 3.215999
#> 126 -0.875 3.216666
#> 127 -0.874 3.217333
#> 128 -0.873 3.218000
#> 129 -0.872 3.218668
#> 130 -0.871 3.219337
#> 131 -0.870 3.220006
#> 132 -0.869 3.220676
#> 133 -0.868 3.221346
#> 134 -0.867 3.222016
#> 135 -0.866 3.222687
#> 136 -0.865 3.223359
#> 137 -0.864 3.224031
#> 138 -0.863 3.224704
#> 139 -0.862 3.225377
#> 140 -0.861 3.226051
#> 141 -0.860 3.226726
#> 142 -0.859 3.227400
#> 143 -0.858 3.228076
#> 144 -0.857 3.228752
#> 145 -0.856 3.229428
#> 146 -0.855 3.230105
#> 147 -0.854 3.230783
#> 148 -0.853 3.231461
#> 149 -0.852 3.232139
#> 150 -0.851 3.232818
#> 151 -0.850 3.233498
#> 152 -0.849 3.234178
#> 153 -0.848 3.234859
#> 154 -0.847 3.235540
#> 155 -0.846 3.236222
#> 156 -0.845 3.236904
#> 157 -0.844 3.237587
#> 158 -0.843 3.238270
#> 159 -0.842 3.238954
#> 160 -0.841 3.239638
#> 161 -0.840 3.240323
#> 162 -0.839 3.241009
#> 163 -0.838 3.241695
#> 164 -0.837 3.242382
#> 165 -0.836 3.243069
#> 166 -0.835 3.243756
#> 167 -0.834 3.244445
#> 168 -0.833 3.245133
#> 169 -0.832 3.245823
#> 170 -0.831 3.246512
#> 171 -0.830 3.247203
#> 172 -0.829 3.247894
#> 173 -0.828 3.248585
#> 174 -0.827 3.249277
#> 175 -0.826 3.249970
#> 176 -0.825 3.250663
#> 177 -0.824 3.251356
#> 178 -0.823 3.252050
#> 179 -0.822 3.252745
#> 180 -0.821 3.253440
#> 181 -0.820 3.254136
#> 182 -0.819 3.254833
#> 183 -0.818 3.255529
#> 184 -0.817 3.256227
#> 185 -0.816 3.256925
#> 186 -0.815 3.257623
#> 187 -0.814 3.258322
#> 188 -0.813 3.259022
#> 189 -0.812 3.259722
#> 190 -0.811 3.260423
#> 191 -0.810 3.261124
#> 192 -0.809 3.261826
#> 193 -0.808 3.262529
#> 194 -0.807 3.263231
#> 195 -0.806 3.263935
#> 196 -0.805 3.264639
#> 197 -0.804 3.265344
#> 198 -0.803 3.266049
#> 199 -0.802 3.266754
#> 200 -0.801 3.267461
#> 201 -0.800 3.268168
#> 202 -0.799 3.268875
#> 203 -0.798 3.269583
#> 204 -0.797 3.270291
#> 205 -0.796 3.271000
#> 206 -0.795 3.271710
#> 207 -0.794 3.272420
#> 208 -0.793 3.273131
#> 209 -0.792 3.273842
#> 210 -0.791 3.274554
#> 211 -0.790 3.275266
#> 212 -0.789 3.275979
#> 213 -0.788 3.276693
#> 214 -0.787 3.277407
#> 215 -0.786 3.278121
#> 216 -0.785 3.278837
#> 217 -0.784 3.279552
#> 218 -0.783 3.280269
#> 219 -0.782 3.280986
#> 220 -0.781 3.281703
#> 221 -0.780 3.282421
#> 222 -0.779 3.283140
#> 223 -0.778 3.283859
#> 224 -0.777 3.284579
#> 225 -0.776 3.285299
#> 226 -0.775 3.286020
#> 227 -0.774 3.286741
#> 228 -0.773 3.287463
#> 229 -0.772 3.288186
#> 230 -0.771 3.288909
#> 231 -0.770 3.289633
#> 232 -0.769 3.290357
#> 233 -0.768 3.291082
#> 234 -0.767 3.291807
#> 235 -0.766 3.292533
#> 236 -0.765 3.293260
#> 237 -0.764 3.293987
#> 238 -0.763 3.294714
#> 239 -0.762 3.295443
#> 240 -0.761 3.296171
#> 241 -0.760 3.296901
#> 242 -0.759 3.297631
#> 243 -0.758 3.298361
#> 244 -0.757 3.299093
#> 245 -0.756 3.299824
#> 246 -0.755 3.300557
#> 247 -0.754 3.301289
#> 248 -0.753 3.302023
#> 249 -0.752 3.302757
#> 250 -0.751 3.303492
#> 251 -0.750 3.304227
#> 252 -0.749 3.304963
#> 253 -0.748 3.305699
#> 254 -0.747 3.306436
#> 255 -0.746 3.307173
#> 256 -0.745 3.307911
#> 257 -0.744 3.308650
#> 258 -0.743 3.309389
#> 259 -0.742 3.310129
#> 260 -0.741 3.310870
#> 261 -0.740 3.311611
#> 262 -0.739 3.312352
#> 263 -0.738 3.313094
#> 264 -0.737 3.313837
#> 265 -0.736 3.314581
#> 266 -0.735 3.315325
#> 267 -0.734 3.316069
#> 268 -0.733 3.316814
#> 269 -0.732 3.317560
#> 270 -0.731 3.318306
#> 271 -0.730 3.319053
#> 272 -0.729 3.319801
#> 273 -0.728 3.320549
#> 274 -0.727 3.321297
#> 275 -0.726 3.322047
#> 276 -0.725 3.322796
#> 277 -0.724 3.323547
#> 278 -0.723 3.324298
#> 279 -0.722 3.325049
#> 280 -0.721 3.325802
#> 281 -0.720 3.326554
#> 282 -0.719 3.327308
#> 283 -0.718 3.328062
#> 284 -0.717 3.328816
#> 285 -0.716 3.329572
#> 286 -0.715 3.330327
#> 287 -0.714 3.331084
#> 288 -0.713 3.331841
#> 289 -0.712 3.332598
#> 290 -0.711 3.333357
#> 291 -0.710 3.334115
#> 292 -0.709 3.334875
#> 293 -0.708 3.335635
#> 294 -0.707 3.336395
#> 295 -0.706 3.337156
#> 296 -0.705 3.337918
#> 297 -0.704 3.338681
#> 298 -0.703 3.339444
#> 299 -0.702 3.340207
#> 300 -0.701 3.340971
#> 301 -0.700 3.341736
#> 302 -0.699 3.342502
#> 303 -0.698 3.343268
#> 304 -0.697 3.344034
#> 305 -0.696 3.344801
#> 306 -0.695 3.345569
#> 307 -0.694 3.346338
#> 308 -0.693 3.347107
#> 309 -0.692 3.347876
#> 310 -0.691 3.348647
#> 311 -0.690 3.349417
#> 312 -0.689 3.350189
#> 313 -0.688 3.350961
#> 314 -0.687 3.351734
#> 315 -0.686 3.352507
#> 316 -0.685 3.353281
#> 317 -0.684 3.354056
#> 318 -0.683 3.354831
#> 319 -0.682 3.355606
#> 320 -0.681 3.356383
#> 321 -0.680 3.357160
#> 322 -0.679 3.357937
#> 323 -0.678 3.358716
#> 324 -0.677 3.359495
#> 325 -0.676 3.360274
#> 326 -0.675 3.361054
#> 327 -0.674 3.361835
#> 328 -0.673 3.362616
#> 329 -0.672 3.363398
#> 330 -0.671 3.364181
#> 331 -0.670 3.364964
#> 332 -0.669 3.365748
#> 333 -0.668 3.366532
#> 334 -0.667 3.367317
#> 335 -0.666 3.368103
#> 336 -0.665 3.368889
#> 337 -0.664 3.369676
#> 338 -0.663 3.370463
#> 339 -0.662 3.371251
#> 340 -0.661 3.372040
#> 341 -0.660 3.372830
#> 342 -0.659 3.373620
#> 343 -0.658 3.374410
#> 344 -0.657 3.375202
#> 345 -0.656 3.375994
#> 346 -0.655 3.376786
#> 347 -0.654 3.377579
#> 348 -0.653 3.378373
#> 349 -0.652 3.379167
#> 350 -0.651 3.379962
#> 351 -0.650 3.380758
#> 352 -0.649 3.381554
#> 353 -0.648 3.382351
#> 354 -0.647 3.383149
#> 355 -0.646 3.383947
#> 356 -0.645 3.384746
#> 357 -0.644 3.385545
#> 358 -0.643 3.386346
#> 359 -0.642 3.387146
#> 360 -0.641 3.387948
#> 361 -0.640 3.388750
#> 362 -0.639 3.389552
#> 363 -0.638 3.390356
#> 364 -0.637 3.391160
#> 365 -0.636 3.391964
#> 366 -0.635 3.392769
#> 367 -0.634 3.393575
#> 368 -0.633 3.394382
#> 369 -0.632 3.395189
#> 370 -0.631 3.395997
#> 371 -0.630 3.396805
#> 372 -0.629 3.397614
#> 373 -0.628 3.398424
#> 374 -0.627 3.399234
#> 375 -0.626 3.400045
#> 376 -0.625 3.400857
#> 377 -0.624 3.401669
#> 378 -0.623 3.402482
#> 379 -0.622 3.403295
#> 380 -0.621 3.404109
#> 381 -0.620 3.404924
#> 382 -0.619 3.405740
#> 383 -0.618 3.406556
#> 384 -0.617 3.407373
#> 385 -0.616 3.408190
#> 386 -0.615 3.409008
#> 387 -0.614 3.409827
#> 388 -0.613 3.410646
#> 389 -0.612 3.411466
#> 390 -0.611 3.412287
#> 391 -0.610 3.413108
#> 392 -0.609 3.413930
#> 393 -0.608 3.414753
#> 394 -0.607 3.415576
#> 395 -0.606 3.416400
#> 396 -0.605 3.417225
#> 397 -0.604 3.418050
#> 398 -0.603 3.418876
#> 399 -0.602 3.419702
#> 400 -0.601 3.420530
#> 401 -0.600 3.421358
#> 402 -0.599 3.422186
#> 403 -0.598 3.423015
#> 404 -0.597 3.423845
#> 405 -0.596 3.424676
#> 406 -0.595 3.425507
#> 407 -0.594 3.426339
#> 408 -0.593 3.427171
#> 409 -0.592 3.428004
#> 410 -0.591 3.428838
#> 411 -0.590 3.429673
#> 412 -0.589 3.430508
#> 413 -0.588 3.431344
#> 414 -0.587 3.432180
#> 415 -0.586 3.433017
#> 416 -0.585 3.433855
#> 417 -0.584 3.434693
#> 418 -0.583 3.435533
#> 419 -0.582 3.436372
#> 420 -0.581 3.437213
#> 421 -0.580 3.438054
#> 422 -0.579 3.438896
#> 423 -0.578 3.439738
#> 424 -0.577 3.440581
#> 425 -0.576 3.441425
#> 426 -0.575 3.442270
#> 427 -0.574 3.443115
#> 428 -0.573 3.443961
#> 429 -0.572 3.444807
#> 430 -0.571 3.445654
#> 431 -0.570 3.446502
#> 432 -0.569 3.447351
#> 433 -0.568 3.448200
#> 434 -0.567 3.449050
#> 435 -0.566 3.449900
#> 436 -0.565 3.450752
#> 437 -0.564 3.451603
#> 438 -0.563 3.452456
#> 439 -0.562 3.453309
#> 440 -0.561 3.454163
#> 441 -0.560 3.455018
#> 442 -0.559 3.455873
#> 443 -0.558 3.456729
#> 444 -0.557 3.457586
#> 445 -0.556 3.458443
#> 446 -0.555 3.459301
#> 447 -0.554 3.460160
#> 448 -0.553 3.461019
#> 449 -0.552 3.461879
#> 450 -0.551 3.462740
#> 451 -0.550 3.463601
#> 452 -0.549 3.464463
#> 453 -0.548 3.465326
#> 454 -0.547 3.466190
#> 455 -0.546 3.467054
#> 456 -0.545 3.467919
#> 457 -0.544 3.468784
#> 458 -0.543 3.469651
#> 459 -0.542 3.470518
#> 460 -0.541 3.471385
#> 461 -0.540 3.472253
#> 462 -0.539 3.473122
#> 463 -0.538 3.473992
#> 464 -0.537 3.474863
#> 465 -0.536 3.475734
#> 466 -0.535 3.476605
#> 467 -0.534 3.477478
#> 468 -0.533 3.478351
#> 469 -0.532 3.479225
#> 470 -0.531 3.480099
#> 471 -0.530 3.480975
#> 472 -0.529 3.481851
#> 473 -0.528 3.482727
#> 474 -0.527 3.483605
#> 475 -0.526 3.484483
#> 476 -0.525 3.485361
#> 477 -0.524 3.486241
#> 478 -0.523 3.487121
#> 479 -0.522 3.488002
#> 480 -0.521 3.488883
#> 481 -0.520 3.489766
#> 482 -0.519 3.490648
#> 483 -0.518 3.491532
#> 484 -0.517 3.492416
#> 485 -0.516 3.493302
#> 486 -0.515 3.494187
#> 487 -0.514 3.495074
#> 488 -0.513 3.495961
#> 489 -0.512 3.496849
#> 490 -0.511 3.497737
#> 491 -0.510 3.498627
#> 492 -0.509 3.499517
#> 493 -0.508 3.500407
#> 494 -0.507 3.501299
#> 495 -0.506 3.502191
#> 496 -0.505 3.503084
#> 497 -0.504 3.503977
#> 498 -0.503 3.504871
#> 499 -0.502 3.505766
#> 500 -0.501 3.506662
#> 501 -0.500 3.507559
#> 502 -0.499 3.508456
#> 503 -0.498 3.509353
#> 504 -0.497 3.510252
#> 505 -0.496 3.511151
#> 506 -0.495 3.512051
#> 507 -0.494 3.512952
#> 508 -0.493 3.513853
#> 509 -0.492 3.514755
#> 510 -0.491 3.515658
#> 511 -0.490 3.516562
#> 512 -0.489 3.517466
#> 513 -0.488 3.518371
#> 514 -0.487 3.519277
#> 515 -0.486 3.520183
#> 516 -0.485 3.521090
#> 517 -0.484 3.521998
#> 518 -0.483 3.522907
#> 519 -0.482 3.523816
#> 520 -0.481 3.524726
#> 521 -0.480 3.525637
#> 522 -0.479 3.526548
#> 523 -0.478 3.527461
#> 524 -0.477 3.528374
#> 525 -0.476 3.529287
#> 526 -0.475 3.530202
#> 527 -0.474 3.531117
#> 528 -0.473 3.532033
#> 529 -0.472 3.532949
#> 530 -0.471 3.533867
#> 531 -0.470 3.534785
#> 532 -0.469 3.535703
#> 533 -0.468 3.536623
#> 534 -0.467 3.537543
#> 535 -0.466 3.538464
#> 536 -0.465 3.539386
#> 537 -0.464 3.540308
#> 538 -0.463 3.541232
#> 539 -0.462 3.542155
#> 540 -0.461 3.543080
#> 541 -0.460 3.544006
#> 542 -0.459 3.544932
#> 543 -0.458 3.545859
#> 544 -0.457 3.546786
#> 545 -0.456 3.547714
#> 546 -0.455 3.548644
#> 547 -0.454 3.549573
#> 548 -0.453 3.550504
#> 549 -0.452 3.551435
#> 550 -0.451 3.552367
#> 551 -0.450 3.553300
#> 552 -0.449 3.554234
#> 553 -0.448 3.555168
#> 554 -0.447 3.556103
#> 555 -0.446 3.557039
#> 556 -0.445 3.557975
#> 557 -0.444 3.558912
#> 558 -0.443 3.559850
#> 559 -0.442 3.560789
#> 560 -0.441 3.561729
#> 561 -0.440 3.562669
#> 562 -0.439 3.563610
#> 563 -0.438 3.564552
#> 564 -0.437 3.565494
#> 565 -0.436 3.566437
#> 566 -0.435 3.567381
#> 567 -0.434 3.568326
#> 568 -0.433 3.569272
#> 569 -0.432 3.570218
#> 570 -0.431 3.571165
#> 571 -0.430 3.572113
#> 572 -0.429 3.573061
#> 573 -0.428 3.574010
#> 574 -0.427 3.574960
#> 575 -0.426 3.575911
#> 576 -0.425 3.576863
#> 577 -0.424 3.577815
#> 578 -0.423 3.578768
#> 579 -0.422 3.579722
#> 580 -0.421 3.580676
#> 581 -0.420 3.581632
#> 582 -0.419 3.582588
#> 583 -0.418 3.583545
#> 584 -0.417 3.584502
#> 585 -0.416 3.585461
#> 586 -0.415 3.586420
#> 587 -0.414 3.587380
#> 588 -0.413 3.588340
#> 589 -0.412 3.589302
#> 590 -0.411 3.590264
#> 591 -0.410 3.591227
#> 592 -0.409 3.592191
#> 593 -0.408 3.593155
#> 594 -0.407 3.594121
#> 595 -0.406 3.595087
#> 596 -0.405 3.596053
#> 597 -0.404 3.597021
#> 598 -0.403 3.597989
#> 599 -0.402 3.598959
#> 600 -0.401 3.599928
#> 601 -0.400 3.600899
#> 602 -0.399 3.601871
#> 603 -0.398 3.602843
#> 604 -0.397 3.603816
#> 605 -0.396 3.604789
#> 606 -0.395 3.605764
#> 607 -0.394 3.606739
#> 608 -0.393 3.607715
#> 609 -0.392 3.608692
#> 610 -0.391 3.609670
#> 611 -0.390 3.610648
#> 612 -0.389 3.611628
#> 613 -0.388 3.612608
#> 614 -0.387 3.613588
#> 615 -0.386 3.614570
#> 616 -0.385 3.615552
#> 617 -0.384 3.616535
#> 618 -0.383 3.617519
#> 619 -0.382 3.618504
#> 620 -0.381 3.619489
#> 621 -0.380 3.620475
#> 622 -0.379 3.621462
#> 623 -0.378 3.622450
#> 624 -0.377 3.623439
#> 625 -0.376 3.624428
#> 626 -0.375 3.625418
#> 627 -0.374 3.626409
#> 628 -0.373 3.627401
#> 629 -0.372 3.628394
#> 630 -0.371 3.629387
#> 631 -0.370 3.630381
#> 632 -0.369 3.631376
#> 633 -0.368 3.632372
#> 634 -0.367 3.633368
#> 635 -0.366 3.634366
#> 636 -0.365 3.635364
#> 637 -0.364 3.636362
#> 638 -0.363 3.637362
#> 639 -0.362 3.638363
#> 640 -0.361 3.639364
#> 641 -0.360 3.640366
#> 642 -0.359 3.641369
#> 643 -0.358 3.642372
#> 644 -0.357 3.643377
#> 645 -0.356 3.644382
#> 646 -0.355 3.645388
#> 647 -0.354 3.646395
#> 648 -0.353 3.647403
#> 649 -0.352 3.648411
#> 650 -0.351 3.649420
#> 651 -0.350 3.650430
#> 652 -0.349 3.651441
#> 653 -0.348 3.652453
#> 654 -0.347 3.653465
#> 655 -0.346 3.654479
#> 656 -0.345 3.655493
#> 657 -0.344 3.656508
#> 658 -0.343 3.657523
#> 659 -0.342 3.658540
#> 660 -0.341 3.659557
#> 661 -0.340 3.660575
#> 662 -0.339 3.661594
#> 663 -0.338 3.662614
#> 664 -0.337 3.663635
#> 665 -0.336 3.664656
#> 666 -0.335 3.665678
#> 667 -0.334 3.666701
#> 668 -0.333 3.667725
#> 669 -0.332 3.668749
#> 670 -0.331 3.669775
#> 671 -0.330 3.670801
#> 672 -0.329 3.671828
#> 673 -0.328 3.672856
#> 674 -0.327 3.673885
#> 675 -0.326 3.674914
#> 676 -0.325 3.675945
#> 677 -0.324 3.676976
#> 678 -0.323 3.678008
#> 679 -0.322 3.679041
#> 680 -0.321 3.680074
#> 681 -0.320 3.681109
#> 682 -0.319 3.682144
#> 683 -0.318 3.683180
#> 684 -0.317 3.684217
#> 685 -0.316 3.685255
#> 686 -0.315 3.686293
#> 687 -0.314 3.687332
#> 688 -0.313 3.688373
#> 689 -0.312 3.689414
#> 690 -0.311 3.690456
#> 691 -0.310 3.691498
#> 692 -0.309 3.692542
#> 693 -0.308 3.693586
#> 694 -0.307 3.694631
#> 695 -0.306 3.695677
#> 696 -0.305 3.696724
#> 697 -0.304 3.697772
#> 698 -0.303 3.698820
#> 699 -0.302 3.699870
#> 700 -0.301 3.700920
#> 701 -0.300 3.701971
#> 702 -0.299 3.703023
#> 703 -0.298 3.704075
#> 704 -0.297 3.705129
#> 705 -0.296 3.706183
#> 706 -0.295 3.707238
#> 707 -0.294 3.708294
#> 708 -0.293 3.709351
#> 709 -0.292 3.710409
#> 710 -0.291 3.711467
#> 711 -0.290 3.712527
#> 712 -0.289 3.713587
#> 713 -0.288 3.714648
#> 714 -0.287 3.715710
#> 715 -0.286 3.716773
#> 716 -0.285 3.717836
#> 717 -0.284 3.718901
#> 718 -0.283 3.719966
#> 719 -0.282 3.721032
#> 720 -0.281 3.722099
#> 721 -0.280 3.723167
#> 722 -0.279 3.724236
#> 723 -0.278 3.725305
#> 724 -0.277 3.726375
#> 725 -0.276 3.727447
#> 726 -0.275 3.728519
#> 727 -0.274 3.729592
#> 728 -0.273 3.730665
#> 729 -0.272 3.731740
#> 730 -0.271 3.732815
#> 731 -0.270 3.733892
#> 732 -0.269 3.734969
#> 733 -0.268 3.736047
#> 734 -0.267 3.737126
#> 735 -0.266 3.738206
#> 736 -0.265 3.739286
#> 737 -0.264 3.740368
#> 738 -0.263 3.741450
#> 739 -0.262 3.742533
#> 740 -0.261 3.743617
#> 741 -0.260 3.744702
#> 742 -0.259 3.745788
#> 743 -0.258 3.746874
#> 744 -0.257 3.747962
#> 745 -0.256 3.749050
#> 746 -0.255 3.750139
#> 747 -0.254 3.751230
#> 748 -0.253 3.752320
#> 749 -0.252 3.753412
#> 750 -0.251 3.754505
#> 751 -0.250 3.755598
#> 752 -0.249 3.756693
#> 753 -0.248 3.757788
#> 754 -0.247 3.758884
#> 755 -0.246 3.759981
#> 756 -0.245 3.761079
#> 757 -0.244 3.762178
#> 758 -0.243 3.763277
#> 759 -0.242 3.764378
#> 760 -0.241 3.765479
#> 761 -0.240 3.766581
#> 762 -0.239 3.767684
#> 763 -0.238 3.768788
#> 764 -0.237 3.769893
#> 765 -0.236 3.770999
#> 766 -0.235 3.772106
#> 767 -0.234 3.773213
#> 768 -0.233 3.774321
#> 769 -0.232 3.775431
#> 770 -0.231 3.776541
#> 771 -0.230 3.777652
#> 772 -0.229 3.778764
#> 773 -0.228 3.779876
#> 774 -0.227 3.780990
#> 775 -0.226 3.782104
#> 776 -0.225 3.783220
#> 777 -0.224 3.784336
#> 778 -0.223 3.785453
#> 779 -0.222 3.786571
#> 780 -0.221 3.787690
#> 781 -0.220 3.788810
#> 782 -0.219 3.789931
#> 783 -0.218 3.791052
#> 784 -0.217 3.792175
#> 785 -0.216 3.793298
#> 786 -0.215 3.794422
#> 787 -0.214 3.795547
#> 788 -0.213 3.796673
#> 789 -0.212 3.797800
#> 790 -0.211 3.798928
#> 791 -0.210 3.800057
#> 792 -0.209 3.801186
#> 793 -0.208 3.802317
#> 794 -0.207 3.803448
#> 795 -0.206 3.804581
#> 796 -0.205 3.805714
#> 797 -0.204 3.806848
#> 798 -0.203 3.807983
#> 799 -0.202 3.809119
#> 800 -0.201 3.810255
#> 801 -0.200 3.811393
#> 802 -0.199 3.812531
#> 803 -0.198 3.813671
#> 804 -0.197 3.814811
#> 805 -0.196 3.815953
#> 806 -0.195 3.817095
#> 807 -0.194 3.818238
#> 808 -0.193 3.819382
#> 809 -0.192 3.820527
#> 810 -0.191 3.821672
#> 811 -0.190 3.822819
#> 812 -0.189 3.823967
#> 813 -0.188 3.825115
#> 814 -0.187 3.826264
#> 815 -0.186 3.827415
#> 816 -0.185 3.828566
#> 817 -0.184 3.829718
#> 818 -0.183 3.830871
#> 819 -0.182 3.832025
#> 820 -0.181 3.833180
#> 821 -0.180 3.834336
#> 822 -0.179 3.835492
#> 823 -0.178 3.836650
#> 824 -0.177 3.837808
#> 825 -0.176 3.838968
#> 826 -0.175 3.840128
#> 827 -0.174 3.841289
#> 828 -0.173 3.842451
#> 829 -0.172 3.843614
#> 830 -0.171 3.844778
#> 831 -0.170 3.845943
#> 832 -0.169 3.847109
#> 833 -0.168 3.848276
#> 834 -0.167 3.849444
#> 835 -0.166 3.850612
#> 836 -0.165 3.851782
#> 837 -0.164 3.852952
#> 838 -0.163 3.854123
#> 839 -0.162 3.855296
#> 840 -0.161 3.856469
#> 841 -0.160 3.857643
#> 842 -0.159 3.858818
#> 843 -0.158 3.859994
#> 844 -0.157 3.861171
#> 845 -0.156 3.862349
#> 846 -0.155 3.863528
#> 847 -0.154 3.864707
#> 848 -0.153 3.865888
#> 849 -0.152 3.867069
#> 850 -0.151 3.868252
#> 851 -0.150 3.869435
#> 852 -0.149 3.870620
#> 853 -0.148 3.871805
#> 854 -0.147 3.872991
#> 855 -0.146 3.874178
#> 856 -0.145 3.875366
#> 857 -0.144 3.876555
#> 858 -0.143 3.877745
#> 859 -0.142 3.878936
#> 860 -0.141 3.880128
#> 861 -0.140 3.881321
#> 862 -0.139 3.882514
#> 863 -0.138 3.883709
#> 864 -0.137 3.884905
#> 865 -0.136 3.886101
#> 866 -0.135 3.887299
#> 867 -0.134 3.888497
#> 868 -0.133 3.889696
#> 869 -0.132 3.890897
#> 870 -0.131 3.892098
#> 871 -0.130 3.893300
#> 872 -0.129 3.894503
#> 873 -0.128 3.895707
#> 874 -0.127 3.896912
#> 875 -0.126 3.898118
#> 876 -0.125 3.899325
#> 877 -0.124 3.900533
#> 878 -0.123 3.901742
#> 879 -0.122 3.902951
#> 880 -0.121 3.904162
#> 881 -0.120 3.905374
#> 882 -0.119 3.906586
#> 883 -0.118 3.907800
#> 884 -0.117 3.909014
#> 885 -0.116 3.910230
#> 886 -0.115 3.911446
#> 887 -0.114 3.912664
#> 888 -0.113 3.913882
#> 889 -0.112 3.915101
#> 890 -0.111 3.916321
#> 891 -0.110 3.917543
#> 892 -0.109 3.918765
#> 893 -0.108 3.919988
#> 894 -0.107 3.921212
#> 895 -0.106 3.922437
#> 896 -0.105 3.923663
#> 897 -0.104 3.924890
#> 898 -0.103 3.926118
#> 899 -0.102 3.927347
#> 900 -0.101 3.928577
#> 901 -0.100 3.929807
#> 902 -0.099 3.931039
#> 903 -0.098 3.932272
#> 904 -0.097 3.933506
#> 905 -0.096 3.934740
#> 906 -0.095 3.935976
#> 907 -0.094 3.937212
#> 908 -0.093 3.938450
#> 909 -0.092 3.939689
#> 910 -0.091 3.940928
#> 911 -0.090 3.942169
#> 912 -0.089 3.943410
#> 913 -0.088 3.944652
#> 914 -0.087 3.945896
#> 915 -0.086 3.947140
#> 916 -0.085 3.948386
#> 917 -0.084 3.949632
#> 918 -0.083 3.950879
#> 919 -0.082 3.952127
#> 920 -0.081 3.953377
#> 921 -0.080 3.954627
#> 922 -0.079 3.955878
#> 923 -0.078 3.957130
#> 924 -0.077 3.958383
#> 925 -0.076 3.959638
#> 926 -0.075 3.960893
#> 927 -0.074 3.962149
#> 928 -0.073 3.963406
#> 929 -0.072 3.964664
#> 930 -0.071 3.965923
#> 931 -0.070 3.967183
#> 932 -0.069 3.968444
#> 933 -0.068 3.969706
#> 934 -0.067 3.970969
#> 935 -0.066 3.972233
#> 936 -0.065 3.973498
#> 937 -0.064 3.974764
#> 938 -0.063 3.976031
#> 939 -0.062 3.977299
#> 940 -0.061 3.978568
#> 941 -0.060 3.979838
#> 942 -0.059 3.981109
#> 943 -0.058 3.982381
#> 944 -0.057 3.983653
#> 945 -0.056 3.984927
#> 946 -0.055 3.986202
#> 947 -0.054 3.987478
#> 948 -0.053 3.988755
#> 949 -0.052 3.990033
#> 950 -0.051 3.991312
#> 951 -0.050 3.992592
#> 952 -0.049 3.993872
#> 953 -0.048 3.995154
#> 954 -0.047 3.996437
#> 955 -0.046 3.997721
#> 956 -0.045 3.999006
#> 957 -0.044 4.000292
#> 958 -0.043 4.001579
#> 959 -0.042 4.002866
#> 960 -0.041 4.004155
#> 961 -0.040 4.005445
#> 962 -0.039 4.006736
#> 963 -0.038 4.008028
#> 964 -0.037 4.009321
#> 965 -0.036 4.010615
#> 966 -0.035 4.011910
#> 967 -0.034 4.013206
#> 968 -0.033 4.014502
#> 969 -0.032 4.015800
#> 970 -0.031 4.017099
#> 971 -0.030 4.018399
#> 972 -0.029 4.019700
#> 973 -0.028 4.021002
#> 974 -0.027 4.022305
#> 975 -0.026 4.023609
#> 976 -0.025 4.024914
#> 977 -0.024 4.026220
#> 978 -0.023 4.027527
#> 979 -0.022 4.028835
#> 980 -0.021 4.030144
#> 981 -0.020 4.031455
#> 982 -0.019 4.032766
#> 983 -0.018 4.034078
#> 984 -0.017 4.035391
#> 985 -0.016 4.036705
#> 986 -0.015 4.038020
#> 987 -0.014 4.039337
#> 988 -0.013 4.040654
#> 989 -0.012 4.041972
#> 990 -0.011 4.043291
#> 991 -0.010 4.044612
#> 992 -0.009 4.045933
#> 993 -0.008 4.047255
#> 994 -0.007 4.048579
#> 995 -0.006 4.049903
#> 996 -0.005 4.051228
#> 997 -0.004 4.052555
#> 998 -0.003 4.053882
#> 999 -0.002 4.055211
#> 1000 -0.001 4.056541
#> 1001 0.000 4.057871
#> 1002 0.001 4.059203
#> 1003 0.002 4.060535
#> 1004 0.003 4.061869
#> 1005 0.004 4.063204
#> 1006 0.005 4.064539
#> 1007 0.006 4.065876
#> 1008 0.007 4.067214
#> 1009 0.008 4.068553
#> 1010 0.009 4.069893
#> 1011 0.010 4.071234
#> 1012 0.011 4.072576
#> 1013 0.012 4.073919
#> 1014 0.013 4.075263
#> 1015 0.014 4.076608
#> 1016 0.015 4.077954
#> 1017 0.016 4.079301
#> 1018 0.017 4.080649
#> 1019 0.018 4.081999
#> 1020 0.019 4.083349
#> 1021 0.020 4.084700
#> 1022 0.021 4.086053
#> 1023 0.022 4.087406
#> 1024 0.023 4.088760
#> 1025 0.024 4.090116
#> 1026 0.025 4.091473
#> 1027 0.026 4.092830
#> 1028 0.027 4.094189
#> 1029 0.028 4.095548
#> 1030 0.029 4.096909
#> 1031 0.030 4.098271
#> 1032 0.031 4.099634
#> 1033 0.032 4.100998
#> 1034 0.033 4.102363
#> 1035 0.034 4.103729
#> 1036 0.035 4.105096
#> 1037 0.036 4.106464
#> 1038 0.037 4.107833
#> 1039 0.038 4.109203
#> 1040 0.039 4.110575
#> 1041 0.040 4.111947
#> 1042 0.041 4.113320
#> 1043 0.042 4.114695
#> 1044 0.043 4.116070
#> 1045 0.044 4.117447
#> 1046 0.045 4.118825
#> 1047 0.046 4.120203
#> 1048 0.047 4.121583
#> 1049 0.048 4.122964
#> 1050 0.049 4.124346
#> 1051 0.050 4.125729
#> 1052 0.051 4.127113
#> 1053 0.052 4.128498
#> 1054 0.053 4.129884
#> 1055 0.054 4.131271
#> 1056 0.055 4.132660
#> 1057 0.056 4.134049
#> 1058 0.057 4.135439
#> 1059 0.058 4.136831
#> 1060 0.059 4.138223
#> 1061 0.060 4.139617
#> 1062 0.061 4.141012
#> 1063 0.062 4.142408
#> 1064 0.063 4.143804
#> 1065 0.064 4.145202
#> 1066 0.065 4.146601
#> 1067 0.066 4.148001
#> 1068 0.067 4.149402
#> 1069 0.068 4.150805
#> 1070 0.069 4.152208
#> 1071 0.070 4.153612
#> 1072 0.071 4.155018
#> 1073 0.072 4.156424
#> 1074 0.073 4.157832
#> 1075 0.074 4.159241
#> 1076 0.075 4.160650
#> 1077 0.076 4.162061
#> 1078 0.077 4.163473
#> 1079 0.078 4.164886
#> 1080 0.079 4.166300
#> 1081 0.080 4.167715
#> 1082 0.081 4.169132
#> 1083 0.082 4.170549
#> 1084 0.083 4.171967
#> 1085 0.084 4.173387
#> 1086 0.085 4.174808
#> 1087 0.086 4.176229
#> 1088 0.087 4.177652
#> 1089 0.088 4.179076
#> 1090 0.089 4.180501
#> 1091 0.090 4.181927
#> 1092 0.091 4.183354
#> 1093 0.092 4.184782
#> 1094 0.093 4.186212
#> 1095 0.094 4.187642
#> 1096 0.095 4.189074
#> 1097 0.096 4.190506
#> 1098 0.097 4.191940
#> 1099 0.098 4.193375
#> 1100 0.099 4.194811
#> 1101 0.100 4.196248
#> 1102 0.101 4.197686
#> 1103 0.102 4.199125
#> 1104 0.103 4.200565
#> 1105 0.104 4.202006
#> 1106 0.105 4.203449
#> 1107 0.106 4.204892
#> 1108 0.107 4.206337
#> 1109 0.108 4.207783
#> 1110 0.109 4.209230
#> 1111 0.110 4.210678
#> 1112 0.111 4.212127
#> 1113 0.112 4.213577
#> 1114 0.113 4.215028
#> 1115 0.114 4.216481
#> 1116 0.115 4.217934
#> 1117 0.116 4.219389
#> 1118 0.117 4.220845
#> 1119 0.118 4.222301
#> 1120 0.119 4.223759
#> 1121 0.120 4.225218
#> 1122 0.121 4.226679
#> 1123 0.122 4.228140
#> 1124 0.123 4.229602
#> 1125 0.124 4.231066
#> 1126 0.125 4.232530
#> 1127 0.126 4.233996
#> 1128 0.127 4.235463
#> 1129 0.128 4.236931
#> 1130 0.129 4.238400
#> 1131 0.130 4.239870
#> 1132 0.131 4.241341
#> 1133 0.132 4.242814
#> 1134 0.133 4.244287
#> 1135 0.134 4.245762
#> 1136 0.135 4.247238
#> 1137 0.136 4.248715
#> 1138 0.137 4.250193
#> 1139 0.138 4.251672
#> 1140 0.139 4.253152
#> 1141 0.140 4.254633
#> 1142 0.141 4.256116
#> 1143 0.142 4.257600
#> 1144 0.143 4.259084
#> 1145 0.144 4.260570
#> 1146 0.145 4.262057
#> 1147 0.146 4.263545
#> 1148 0.147 4.265035
#> 1149 0.148 4.266525
#> 1150 0.149 4.268016
#> 1151 0.150 4.269509
#> 1152 0.151 4.271003
#> 1153 0.152 4.272498
#> 1154 0.153 4.273994
#> 1155 0.154 4.275491
#> 1156 0.155 4.276989
#> 1157 0.156 4.278489
#> 1158 0.157 4.279989
#> 1159 0.158 4.281491
#> 1160 0.159 4.282994
#> 1161 0.160 4.284498
#> 1162 0.161 4.286003
#> 1163 0.162 4.287509
#> 1164 0.163 4.289016
#> 1165 0.164 4.290525
#> 1166 0.165 4.292035
#> 1167 0.166 4.293545
#> 1168 0.167 4.295057
#> 1169 0.168 4.296570
#> 1170 0.169 4.298085
#> 1171 0.170 4.299600
#> 1172 0.171 4.301116
#> 1173 0.172 4.302634
#> 1174 0.173 4.304153
#> 1175 0.174 4.305673
#> 1176 0.175 4.307194
#> 1177 0.176 4.308716
#> 1178 0.177 4.310239
#> 1179 0.178 4.311764
#> 1180 0.179 4.313290
#> 1181 0.180 4.314816
#> 1182 0.181 4.316344
#> 1183 0.182 4.317873
#> 1184 0.183 4.319404
#> 1185 0.184 4.320935
#> 1186 0.185 4.322468
#> 1187 0.186 4.324001
#> 1188 0.187 4.325536
#> 1189 0.188 4.327072
#> 1190 0.189 4.328609
#> 1191 0.190 4.330148
#> 1192 0.191 4.331687
#> 1193 0.192 4.333228
#> 1194 0.193 4.334770
#> 1195 0.194 4.336312
#> 1196 0.195 4.337857
#> 1197 0.196 4.339402
#> 1198 0.197 4.340948
#> 1199 0.198 4.342496
#> 1200 0.199 4.344045
#> 1201 0.200 4.345594
#> 1202 0.201 4.347145
#> 1203 0.202 4.348698
#> 1204 0.203 4.350251
#> 1205 0.204 4.351806
#> 1206 0.205 4.353361
#> 1207 0.206 4.354918
#> 1208 0.207 4.356476
#> 1209 0.208 4.358035
#> 1210 0.209 4.359596
#> 1211 0.210 4.361157
#> 1212 0.211 4.362720
#> 1213 0.212 4.364284
#> 1214 0.213 4.365849
#> 1215 0.214 4.367415
#> 1216 0.215 4.368982
#> 1217 0.216 4.370551
#> 1218 0.217 4.372121
#> 1219 0.218 4.373692
#> 1220 0.219 4.375264
#> 1221 0.220 4.376837
#> 1222 0.221 4.378411
#> 1223 0.222 4.379987
#> 1224 0.223 4.381564
#> 1225 0.224 4.383142
#> 1226 0.225 4.384721
#> 1227 0.226 4.386301
#> 1228 0.227 4.387882
#> 1229 0.228 4.389465
#> 1230 0.229 4.391049
#> 1231 0.230 4.392634
#> 1232 0.231 4.394220
#> 1233 0.232 4.395808
#> 1234 0.233 4.397396
#> 1235 0.234 4.398986
#> 1236 0.235 4.400577
#> 1237 0.236 4.402169
#> 1238 0.237 4.403762
#> 1239 0.238 4.405356
#> 1240 0.239 4.406952
#> 1241 0.240 4.408549
#> 1242 0.241 4.410147
#> 1243 0.242 4.411746
#> 1244 0.243 4.413347
#> 1245 0.244 4.414948
#> 1246 0.245 4.416551
#> 1247 0.246 4.418155
#> 1248 0.247 4.419760
#> 1249 0.248 4.421366
#> 1250 0.249 4.422974
#> 1251 0.250 4.424583
#> 1252 0.251 4.426192
#> 1253 0.252 4.427804
#> 1254 0.253 4.429416
#> 1255 0.254 4.431029
#> 1256 0.255 4.432644
#> 1257 0.256 4.434260
#> 1258 0.257 4.435877
#> 1259 0.258 4.437495
#> 1260 0.259 4.439115
#> 1261 0.260 4.440735
#> 1262 0.261 4.442357
#> 1263 0.262 4.443980
#> 1264 0.263 4.445604
#> 1265 0.264 4.447230
#> 1266 0.265 4.448857
#> 1267 0.266 4.450484
#> 1268 0.267 4.452114
#> 1269 0.268 4.453744
#> 1270 0.269 4.455375
#> 1271 0.270 4.457008
#> 1272 0.271 4.458642
#> 1273 0.272 4.460277
#> 1274 0.273 4.461913
#> 1275 0.274 4.463551
#> 1276 0.275 4.465189
#> 1277 0.276 4.466829
#> 1278 0.277 4.468470
#> 1279 0.278 4.470113
#> 1280 0.279 4.471756
#> 1281 0.280 4.473401
#> 1282 0.281 4.475047
#> 1283 0.282 4.476694
#> 1284 0.283 4.478342
#> 1285 0.284 4.479992
#> 1286 0.285 4.481643
#> 1287 0.286 4.483295
#> 1288 0.287 4.484948
#> 1289 0.288 4.486602
#> 1290 0.289 4.488258
#> 1291 0.290 4.489915
#> 1292 0.291 4.491573
#> 1293 0.292 4.493232
#> 1294 0.293 4.494893
#> 1295 0.294 4.496554
#> 1296 0.295 4.498217
#> 1297 0.296 4.499882
#> 1298 0.297 4.501547
#> 1299 0.298 4.503214
#> 1300 0.299 4.504881
#> 1301 0.300 4.506550
#> 1302 0.301 4.508221
#> 1303 0.302 4.509892
#> 1304 0.303 4.511565
#> 1305 0.304 4.513239
#> 1306 0.305 4.514914
#> 1307 0.306 4.516590
#> 1308 0.307 4.518268
#> 1309 0.308 4.519947
#> 1310 0.309 4.521627
#> 1311 0.310 4.523308
#> 1312 0.311 4.524991
#> 1313 0.312 4.526674
#> 1314 0.313 4.528359
#> 1315 0.314 4.530046
#> 1316 0.315 4.531733
#> 1317 0.316 4.533422
#> 1318 0.317 4.535112
#> 1319 0.318 4.536803
#> 1320 0.319 4.538495
#> 1321 0.320 4.540189
#> 1322 0.321 4.541883
#> 1323 0.322 4.543580
#> 1324 0.323 4.545277
#> 1325 0.324 4.546975
#> 1326 0.325 4.548675
#> 1327 0.326 4.550376
#> 1328 0.327 4.552078
#> 1329 0.328 4.553782
#> 1330 0.329 4.555487
#> 1331 0.330 4.557192
#> 1332 0.331 4.558900
#> 1333 0.332 4.560608
#> 1334 0.333 4.562318
#> 1335 0.334 4.564029
#> 1336 0.335 4.565741
#> 1337 0.336 4.567454
#> 1338 0.337 4.569169
#> 1339 0.338 4.570885
#> 1340 0.339 4.572602
#> 1341 0.340 4.574320
#> 1342 0.341 4.576040
#> 1343 0.342 4.577761
#> 1344 0.343 4.579483
#> 1345 0.344 4.581206
#> 1346 0.345 4.582931
#> 1347 0.346 4.584656
#> 1348 0.347 4.586384
#> 1349 0.348 4.588112
#> 1350 0.349 4.589841
#> 1351 0.350 4.591572
#> 1352 0.351 4.593304
#> 1353 0.352 4.595038
#> 1354 0.353 4.596772
#> 1355 0.354 4.598508
#> 1356 0.355 4.600245
#> 1357 0.356 4.601984
#> 1358 0.357 4.603723
#> 1359 0.358 4.605464
#> 1360 0.359 4.607206
#> 1361 0.360 4.608949
#> 1362 0.361 4.610694
#> 1363 0.362 4.612440
#> 1364 0.363 4.614187
#> 1365 0.364 4.615935
#> 1366 0.365 4.617685
#> 1367 0.366 4.619436
#> 1368 0.367 4.621188
#> 1369 0.368 4.622942
#> 1370 0.369 4.624696
#> 1371 0.370 4.626452
#> 1372 0.371 4.628209
#> 1373 0.372 4.629968
#> 1374 0.373 4.631728
#> 1375 0.374 4.633489
#> 1376 0.375 4.635251
#> 1377 0.376 4.637014
#> 1378 0.377 4.638779
#> 1379 0.378 4.640545
#> 1380 0.379 4.642312
#> 1381 0.380 4.644081
#> 1382 0.381 4.645851
#> 1383 0.382 4.647622
#> 1384 0.383 4.649394
#> 1385 0.384 4.651168
#> 1386 0.385 4.652943
#> 1387 0.386 4.654719
#> 1388 0.387 4.656497
#> 1389 0.388 4.658275
#> 1390 0.389 4.660055
#> 1391 0.390 4.661837
#> 1392 0.391 4.663619
#> 1393 0.392 4.665403
#> 1394 0.393 4.667188
#> 1395 0.394 4.668974
#> 1396 0.395 4.670762
#> 1397 0.396 4.672551
#> 1398 0.397 4.674341
#> 1399 0.398 4.676132
#> 1400 0.399 4.677925
#> 1401 0.400 4.679719
#> 1402 0.401 4.681514
#> 1403 0.402 4.683311
#> 1404 0.403 4.685109
#> 1405 0.404 4.686908
#> 1406 0.405 4.688708
#> 1407 0.406 4.690510
#> 1408 0.407 4.692313
#> 1409 0.408 4.694117
#> 1410 0.409 4.695923
#> 1411 0.410 4.697730
#> 1412 0.411 4.699538
#> 1413 0.412 4.701347
#> 1414 0.413 4.703158
#> 1415 0.414 4.704970
#> 1416 0.415 4.706783
#> 1417 0.416 4.708597
#> 1418 0.417 4.710413
#> 1419 0.418 4.712230
#> 1420 0.419 4.714048
#> 1421 0.420 4.715868
#> 1422 0.421 4.717689
#> 1423 0.422 4.719511
#> 1424 0.423 4.721335
#> 1425 0.424 4.723160
#> 1426 0.425 4.724986
#> 1427 0.426 4.726813
#> 1428 0.427 4.728642
#> 1429 0.428 4.730472
#> 1430 0.429 4.732303
#> 1431 0.430 4.734135
#> 1432 0.431 4.735969
#> 1433 0.432 4.737804
#> 1434 0.433 4.739641
#> 1435 0.434 4.741478
#> 1436 0.435 4.743317
#> 1437 0.436 4.745158
#> 1438 0.437 4.746999
#> 1439 0.438 4.748842
#> 1440 0.439 4.750686
#> 1441 0.440 4.752532
#> 1442 0.441 4.754379
#> 1443 0.442 4.756227
#> 1444 0.443 4.758076
#> 1445 0.444 4.759927
#> 1446 0.445 4.761779
#> 1447 0.446 4.763632
#> 1448 0.447 4.765487
#> 1449 0.448 4.767342
#> 1450 0.449 4.769200
#> 1451 0.450 4.771058
#> 1452 0.451 4.772918
#> 1453 0.452 4.774779
#> 1454 0.453 4.776641
#> 1455 0.454 4.778505
#> 1456 0.455 4.780370
#> 1457 0.456 4.782236
#> 1458 0.457 4.784104
#> 1459 0.458 4.785973
#> 1460 0.459 4.787843
#> 1461 0.460 4.789714
#> 1462 0.461 4.791587
#> 1463 0.462 4.793461
#> 1464 0.463 4.795337
#> 1465 0.464 4.797214
#> 1466 0.465 4.799092
#> 1467 0.466 4.800971
#> 1468 0.467 4.802852
#> 1469 0.468 4.804734
#> 1470 0.469 4.806617
#> 1471 0.470 4.808502
#> 1472 0.471 4.810388
#> 1473 0.472 4.812275
#> 1474 0.473 4.814163
#> 1475 0.474 4.816053
#> 1476 0.475 4.817944
#> 1477 0.476 4.819837
#> 1478 0.477 4.821731
#> 1479 0.478 4.823626
#> 1480 0.479 4.825522
#> 1481 0.480 4.827420
#> 1482 0.481 4.829319
#> 1483 0.482 4.831219
#> 1484 0.483 4.833121
#> 1485 0.484 4.835024
#> 1486 0.485 4.836928
#> 1487 0.486 4.838834
#> 1488 0.487 4.840741
#> 1489 0.488 4.842649
#> 1490 0.489 4.844559
#> 1491 0.490 4.846470
#> 1492 0.491 4.848382
#> 1493 0.492 4.850296
#> 1494 0.493 4.852210
#> 1495 0.494 4.854127
#> 1496 0.495 4.856044
#> 1497 0.496 4.857963
#> 1498 0.497 4.859883
#> 1499 0.498 4.861805
#> 1500 0.499 4.863727
#> 1501 0.500 4.865652
#> 1502 0.501 4.867577
#> 1503 0.502 4.869504
#> 1504 0.503 4.871432
#> 1505 0.504 4.873361
#> 1506 0.505 4.875292
#> 1507 0.506 4.877224
#> 1508 0.507 4.879158
#> 1509 0.508 4.881093
#> 1510 0.509 4.883029
#> 1511 0.510 4.884966
#> 1512 0.511 4.886905
#> 1513 0.512 4.888845
#> 1514 0.513 4.890786
#> 1515 0.514 4.892729
#> 1516 0.515 4.894673
#> 1517 0.516 4.896619
#> 1518 0.517 4.898565
#> 1519 0.518 4.900513
#> 1520 0.519 4.902463
#> 1521 0.520 4.904413
#> 1522 0.521 4.906366
#> 1523 0.522 4.908319
#> 1524 0.523 4.910274
#> 1525 0.524 4.912230
#> 1526 0.525 4.914187
#> 1527 0.526 4.916146
#> 1528 0.527 4.918106
#> 1529 0.528 4.920067
#> 1530 0.529 4.922030
#> 1531 0.530 4.923994
#> 1532 0.531 4.925960
#> 1533 0.532 4.927926
#> 1534 0.533 4.929894
#> 1535 0.534 4.931864
#> 1536 0.535 4.933835
#> 1537 0.536 4.935807
#> 1538 0.537 4.937780
#> 1539 0.538 4.939755
#> 1540 0.539 4.941731
#> 1541 0.540 4.943709
#> 1542 0.541 4.945688
#> 1543 0.542 4.947668
#> 1544 0.543 4.949649
#> 1545 0.544 4.951632
#> 1546 0.545 4.953616
#> 1547 0.546 4.955602
#> 1548 0.547 4.957589
#> 1549 0.548 4.959577
#> 1550 0.549 4.961567
#> 1551 0.550 4.963557
#> 1552 0.551 4.965550
#> 1553 0.552 4.967543
#> 1554 0.553 4.969538
#> 1555 0.554 4.971535
#> 1556 0.555 4.973532
#> 1557 0.556 4.975531
#> 1558 0.557 4.977532
#> 1559 0.558 4.979533
#> 1560 0.559 4.981536
#> 1561 0.560 4.983541
#> 1562 0.561 4.985546
#> 1563 0.562 4.987554
#> 1564 0.563 4.989562
#> 1565 0.564 4.991572
#> 1566 0.565 4.993583
#> 1567 0.566 4.995595
#> 1568 0.567 4.997609
#> 1569 0.568 4.999625
#> 1570 0.569 5.001641
#> 1571 0.570 5.003659
#> 1572 0.571 5.005678
#> 1573 0.572 5.007699
#> 1574 0.573 5.009721
#> 1575 0.574 5.011744
#> 1576 0.575 5.013769
#> 1577 0.576 5.015795
#> 1578 0.577 5.017822
#> 1579 0.578 5.019851
#> 1580 0.579 5.021881
#> 1581 0.580 5.023913
#> 1582 0.581 5.025945
#> 1583 0.582 5.027980
#> 1584 0.583 5.030015
#> 1585 0.584 5.032052
#> 1586 0.585 5.034090
#> 1587 0.586 5.036130
#> 1588 0.587 5.038171
#> 1589 0.588 5.040213
#> 1590 0.589 5.042257
#> 1591 0.590 5.044302
#> 1592 0.591 5.046348
#> 1593 0.592 5.048396
#> 1594 0.593 5.050445
#> 1595 0.594 5.052496
#> 1596 0.595 5.054548
#> 1597 0.596 5.056601
#> 1598 0.597 5.058655
#> 1599 0.598 5.060711
#> 1600 0.599 5.062769
#> 1601 0.600 5.064827
#> 1602 0.601 5.066887
#> 1603 0.602 5.068949
#> 1604 0.603 5.071012
#> 1605 0.604 5.073076
#> 1606 0.605 5.075141
#> 1607 0.606 5.077208
#> 1608 0.607 5.079276
#> 1609 0.608 5.081346
#> 1610 0.609 5.083417
#> 1611 0.610 5.085489
#> 1612 0.611 5.087563
#> 1613 0.612 5.089638
#> 1614 0.613 5.091714
#> 1615 0.614 5.093792
#> 1616 0.615 5.095871
#> 1617 0.616 5.097952
#> 1618 0.617 5.100034
#> 1619 0.618 5.102117
#> 1620 0.619 5.104202
#> 1621 0.620 5.106288
#> 1622 0.621 5.108375
#> 1623 0.622 5.110464
#> 1624 0.623 5.112554
#> 1625 0.624 5.114645
#> 1626 0.625 5.116738
#> 1627 0.626 5.118833
#> 1628 0.627 5.120928
#> 1629 0.628 5.123025
#> 1630 0.629 5.125124
#> 1631 0.630 5.127223
#> 1632 0.631 5.129324
#> 1633 0.632 5.131427
#> 1634 0.633 5.133531
#> 1635 0.634 5.135636
#> 1636 0.635 5.137743
#> 1637 0.636 5.139851
#> 1638 0.637 5.141960
#> 1639 0.638 5.144071
#> 1640 0.639 5.146183
#> 1641 0.640 5.148296
#> 1642 0.641 5.150411
#> 1643 0.642 5.152527
#> 1644 0.643 5.154645
#> 1645 0.644 5.156764
#> 1646 0.645 5.158884
#> 1647 0.646 5.161006
#> 1648 0.647 5.163129
#> 1649 0.648 5.165254
#> 1650 0.649 5.167380
#> 1651 0.650 5.169507
#> 1652 0.651 5.171636
#> 1653 0.652 5.173766
#> 1654 0.653 5.175897
#> 1655 0.654 5.178030
#> 1656 0.655 5.180164
#> 1657 0.656 5.182300
#> 1658 0.657 5.184437
#> 1659 0.658 5.186575
#> 1660 0.659 5.188715
#> 1661 0.660 5.190856
#> 1662 0.661 5.192998
#> 1663 0.662 5.195142
#> 1664 0.663 5.197287
#> 1665 0.664 5.199434
#> 1666 0.665 5.201582
#> 1667 0.666 5.203731
#> 1668 0.667 5.205882
#> 1669 0.668 5.208034
#> 1670 0.669 5.210188
#> 1671 0.670 5.212343
#> 1672 0.671 5.214499
#> 1673 0.672 5.216657
#> 1674 0.673 5.218816
#> 1675 0.674 5.220976
#> 1676 0.675 5.223138
#> 1677 0.676 5.225301
#> 1678 0.677 5.227466
#> 1679 0.678 5.229632
#> 1680 0.679 5.231799
#> 1681 0.680 5.233968
#> 1682 0.681 5.236138
#> 1683 0.682 5.238310
#> 1684 0.683 5.240483
#> 1685 0.684 5.242657
#> 1686 0.685 5.244833
#> 1687 0.686 5.247010
#> 1688 0.687 5.249188
#> 1689 0.688 5.251368
#> 1690 0.689 5.253549
#> 1691 0.690 5.255732
#> 1692 0.691 5.257916
#> 1693 0.692 5.260102
#> 1694 0.693 5.262288
#> 1695 0.694 5.264477
#> 1696 0.695 5.266666
#> 1697 0.696 5.268857
#> 1698 0.697 5.271050
#> 1699 0.698 5.273243
#> 1700 0.699 5.275439
#> 1701 0.700 5.277635
#> 1702 0.701 5.279833
#> 1703 0.702 5.282032
#> 1704 0.703 5.284233
#> 1705 0.704 5.286435
#> 1706 0.705 5.288639
#> 1707 0.706 5.290844
#> 1708 0.707 5.293050
#> 1709 0.708 5.295258
#> 1710 0.709 5.297467
#> 1711 0.710 5.299678
#> 1712 0.711 5.301889
#> 1713 0.712 5.304103
#> 1714 0.713 5.306317
#> 1715 0.714 5.308533
#> 1716 0.715 5.310751
#> 1717 0.716 5.312970
#> 1718 0.717 5.315190
#> 1719 0.718 5.317412
#> 1720 0.719 5.319635
#> 1721 0.720 5.321859
#> 1722 0.721 5.324085
#> 1723 0.722 5.326312
#> 1724 0.723 5.328541
#> 1725 0.724 5.330771
#> 1726 0.725 5.333003
#> 1727 0.726 5.335235
#> 1728 0.727 5.337470
#> 1729 0.728 5.339705
#> 1730 0.729 5.341942
#> 1731 0.730 5.344181
#> 1732 0.731 5.346421
#> 1733 0.732 5.348662
#> 1734 0.733 5.350904
#> 1735 0.734 5.353148
#> 1736 0.735 5.355394
#> 1737 0.736 5.357641
#> 1738 0.737 5.359889
#> 1739 0.738 5.362139
#> 1740 0.739 5.364390
#> 1741 0.740 5.366642
#> 1742 0.741 5.368896
#> 1743 0.742 5.371151
#> 1744 0.743 5.373408
#> 1745 0.744 5.375666
#> 1746 0.745 5.377925
#> 1747 0.746 5.380186
#> 1748 0.747 5.382448
#> 1749 0.748 5.384712
#> 1750 0.749 5.386977
#> 1751 0.750 5.389243
#> 1752 0.751 5.391511
#> 1753 0.752 5.393780
#> 1754 0.753 5.396051
#> 1755 0.754 5.398323
#> 1756 0.755 5.400596
#> 1757 0.756 5.402871
#> 1758 0.757 5.405147
#> 1759 0.758 5.407425
#> 1760 0.759 5.409704
#> 1761 0.760 5.411985
#> 1762 0.761 5.414266
#> 1763 0.762 5.416550
#> 1764 0.763 5.418834
#> 1765 0.764 5.421120
#> 1766 0.765 5.423408
#> 1767 0.766 5.425697
#> 1768 0.767 5.427987
#> 1769 0.768 5.430279
#> 1770 0.769 5.432572
#> 1771 0.770 5.434866
#> 1772 0.771 5.437162
#> 1773 0.772 5.439460
#> 1774 0.773 5.441758
#> 1775 0.774 5.444058
#> 1776 0.775 5.446360
#> 1777 0.776 5.448663
#> 1778 0.777 5.450967
#> 1779 0.778 5.453273
#> 1780 0.779 5.455580
#> 1781 0.780 5.457888
#> 1782 0.781 5.460198
#> 1783 0.782 5.462510
#> 1784 0.783 5.464823
#> 1785 0.784 5.467137
#> 1786 0.785 5.469452
#> 1787 0.786 5.471769
#> 1788 0.787 5.474088
#> 1789 0.788 5.476407
#> 1790 0.789 5.478729
#> 1791 0.790 5.481051
#> 1792 0.791 5.483375
#> 1793 0.792 5.485701
#> 1794 0.793 5.488027
#> 1795 0.794 5.490356
#> 1796 0.795 5.492685
#> 1797 0.796 5.495016
#> 1798 0.797 5.497349
#> 1799 0.798 5.499683
#> 1800 0.799 5.502018
#> 1801 0.800 5.504355
#> 1802 0.801 5.506693
#> 1803 0.802 5.509032
#> 1804 0.803 5.511373
#> 1805 0.804 5.513715
#> 1806 0.805 5.516059
#> 1807 0.806 5.518404
#> 1808 0.807 5.520751
#> 1809 0.808 5.523099
#> 1810 0.809 5.525448
#> 1811 0.810 5.527799
#> 1812 0.811 5.530151
#> 1813 0.812 5.532504
#> 1814 0.813 5.534859
#> 1815 0.814 5.537216
#> 1816 0.815 5.539574
#> 1817 0.816 5.541933
#> 1818 0.817 5.544293
#> 1819 0.818 5.546655
#> 1820 0.819 5.549019
#> 1821 0.820 5.551384
#> 1822 0.821 5.553750
#> 1823 0.822 5.556118
#> 1824 0.823 5.558487
#> 1825 0.824 5.560857
#> 1826 0.825 5.563229
#> 1827 0.826 5.565602
#> 1828 0.827 5.567977
#> 1829 0.828 5.570353
#> 1830 0.829 5.572731
#> 1831 0.830 5.575110
#> 1832 0.831 5.577490
#> 1833 0.832 5.579872
#> 1834 0.833 5.582255
#> 1835 0.834 5.584639
#> 1836 0.835 5.587025
#> 1837 0.836 5.589413
#> 1838 0.837 5.591802
#> 1839 0.838 5.594192
#> 1840 0.839 5.596583
#> 1841 0.840 5.598976
#> 1842 0.841 5.601371
#> 1843 0.842 5.603767
#> 1844 0.843 5.606164
#> 1845 0.844 5.608563
#> 1846 0.845 5.610963
#> 1847 0.846 5.613364
#> 1848 0.847 5.615767
#> 1849 0.848 5.618171
#> 1850 0.849 5.620577
#> 1851 0.850 5.622984
#> 1852 0.851 5.625393
#> 1853 0.852 5.627803
#> 1854 0.853 5.630214
#> 1855 0.854 5.632627
#> 1856 0.855 5.635041
#> 1857 0.856 5.637457
#> 1858 0.857 5.639874
#> 1859 0.858 5.642292
#> 1860 0.859 5.644712
#> 1861 0.860 5.647133
#> 1862 0.861 5.649556
#> 1863 0.862 5.651980
#> 1864 0.863 5.654405
#> 1865 0.864 5.656832
#> 1866 0.865 5.659261
#> 1867 0.866 5.661690
#> 1868 0.867 5.664121
#> 1869 0.868 5.666554
#> 1870 0.869 5.668988
#> 1871 0.870 5.671423
#> 1872 0.871 5.673860
#> 1873 0.872 5.676298
#> 1874 0.873 5.678738
#> 1875 0.874 5.681179
#> 1876 0.875 5.683621
#> 1877 0.876 5.686065
#> 1878 0.877 5.688510
#> 1879 0.878 5.690957
#> 1880 0.879 5.693405
#> 1881 0.880 5.695854
#> 1882 0.881 5.698305
#> 1883 0.882 5.700757
#> 1884 0.883 5.703211
#> 1885 0.884 5.705666
#> 1886 0.885 5.708122
#> 1887 0.886 5.710580
#> 1888 0.887 5.713039
#> 1889 0.888 5.715500
#> 1890 0.889 5.717962
#> 1891 0.890 5.720426
#> 1892 0.891 5.722891
#> 1893 0.892 5.725357
#> 1894 0.893 5.727825
#> 1895 0.894 5.730294
#> 1896 0.895 5.732765
#> 1897 0.896 5.735237
#> 1898 0.897 5.737710
#> 1899 0.898 5.740185
#> 1900 0.899 5.742661
#> 1901 0.900 5.745139
#> 1902 0.901 5.747618
#> 1903 0.902 5.750098
#> 1904 0.903 5.752580
#> 1905 0.904 5.755063
#> 1906 0.905 5.757548
#> 1907 0.906 5.760034
#> 1908 0.907 5.762522
#> 1909 0.908 5.765010
#> 1910 0.909 5.767501
#> 1911 0.910 5.769992
#> 1912 0.911 5.772486
#> 1913 0.912 5.774980
#> 1914 0.913 5.777476
#> 1915 0.914 5.779973
#> 1916 0.915 5.782472
#> 1917 0.916 5.784972
#> 1918 0.917 5.787474
#> 1919 0.918 5.789977
#> 1920 0.919 5.792481
#> 1921 0.920 5.794987
#> 1922 0.921 5.797494
#> 1923 0.922 5.800003
#> 1924 0.923 5.802513
#> 1925 0.924 5.805024
#> 1926 0.925 5.807537
#> 1927 0.926 5.810051
#> 1928 0.927 5.812567
#> 1929 0.928 5.815084
#> 1930 0.929 5.817602
#> 1931 0.930 5.820122
#> 1932 0.931 5.822644
#> 1933 0.932 5.825166
#> 1934 0.933 5.827690
#> 1935 0.934 5.830216
#> 1936 0.935 5.832743
#> 1937 0.936 5.835271
#> 1938 0.937 5.837801
#> 1939 0.938 5.840332
#> 1940 0.939 5.842864
#> 1941 0.940 5.845398
#> 1942 0.941 5.847934
#> 1943 0.942 5.850470
#> 1944 0.943 5.853008
#> 1945 0.944 5.855548
#> 1946 0.945 5.858089
#> 1947 0.946 5.860631
#> 1948 0.947 5.863175
#> 1949 0.948 5.865720
#> 1950 0.949 5.868267
#> 1951 0.950 5.870815
#> 1952 0.951 5.873364
#> 1953 0.952 5.875915
#> 1954 0.953 5.878467
#> 1955 0.954 5.881021
#> 1956 0.955 5.883576
#> 1957 0.956 5.886132
#> 1958 0.957 5.888690
#> 1959 0.958 5.891249
#> 1960 0.959 5.893810
#> 1961 0.960 5.896372
#> 1962 0.961 5.898935
#> 1963 0.962 5.901500
#> 1964 0.963 5.904066
#> 1965 0.964 5.906634
#> 1966 0.965 5.909203
#> 1967 0.966 5.911773
#> 1968 0.967 5.914345
#> 1969 0.968 5.916918
#> 1970 0.969 5.919493
#> 1971 0.970 5.922069
#> 1972 0.971 5.924646
#> 1973 0.972 5.927225
#> 1974 0.973 5.929805
#> 1975 0.974 5.932387
#> 1976 0.975 5.934970
#> 1977 0.976 5.937554
#> 1978 0.977 5.940140
#> 1979 0.978 5.942727
#> 1980 0.979 5.945316
#> 1981 0.980 5.947906
#> 1982 0.981 5.950497
#> 1983 0.982 5.953090
#> 1984 0.983 5.955684
#> 1985 0.984 5.958280
#> 1986 0.985 5.960877
#> 1987 0.986 5.963475
#> 1988 0.987 5.966075
#> 1989 0.988 5.968677
#> 1990 0.989 5.971279
#> 1991 0.990 5.973883
#> 1992 0.991 5.976489
#> 1993 0.992 5.979095
#> 1994 0.993 5.981704
#> 1995 0.994 5.984313
#> 1996 0.995 5.986924
#> 1997 0.996 5.989536
#> 1998 0.997 5.992150
#> 1999 0.998 5.994765
#> 2000 0.999 5.997382
#> 2001 1.000 6.000000
divpro(c(20,8,5,4,2,1), use.q =TRUE) # Option to use q = 1-ell for traditional
#> q d
#> 1 2.000 3.137255
#> 2 1.999 3.137860
#> 3 1.998 3.138466
#> 4 1.997 3.139072
#> 5 1.996 3.139679
#> 6 1.995 3.140286
#> 7 1.994 3.140893
#> 8 1.993 3.141501
#> 9 1.992 3.142110
#> 10 1.991 3.142719
#> 11 1.990 3.143328
#> 12 1.989 3.143938
#> 13 1.988 3.144548
#> 14 1.987 3.145159
#> 15 1.986 3.145771
#> 16 1.985 3.146382
#> 17 1.984 3.146995
#> 18 1.983 3.147607
#> 19 1.982 3.148221
#> 20 1.981 3.148834
#> 21 1.980 3.149448
#> 22 1.979 3.150063
#> 23 1.978 3.150678
#> 24 1.977 3.151294
#> 25 1.976 3.151910
#> 26 1.975 3.152526
#> 27 1.974 3.153143
#> 28 1.973 3.153761
#> 29 1.972 3.154379
#> 30 1.971 3.154997
#> 31 1.970 3.155616
#> 32 1.969 3.156236
#> 33 1.968 3.156856
#> 34 1.967 3.157476
#> 35 1.966 3.158097
#> 36 1.965 3.158718
#> 37 1.964 3.159340
#> 38 1.963 3.159962
#> 39 1.962 3.160585
#> 40 1.961 3.161208
#> 41 1.960 3.161832
#> 42 1.959 3.162456
#> 43 1.958 3.163081
#> 44 1.957 3.163706
#> 45 1.956 3.164332
#> 46 1.955 3.164958
#> 47 1.954 3.165585
#> 48 1.953 3.166212
#> 49 1.952 3.166840
#> 50 1.951 3.167468
#> 51 1.950 3.168097
#> 52 1.949 3.168726
#> 53 1.948 3.169355
#> 54 1.947 3.169985
#> 55 1.946 3.170616
#> 56 1.945 3.171247
#> 57 1.944 3.171879
#> 58 1.943 3.172511
#> 59 1.942 3.173143
#> 60 1.941 3.173776
#> 61 1.940 3.174410
#> 62 1.939 3.175044
#> 63 1.938 3.175678
#> 64 1.937 3.176313
#> 65 1.936 3.176949
#> 66 1.935 3.177585
#> 67 1.934 3.178221
#> 68 1.933 3.178858
#> 69 1.932 3.179496
#> 70 1.931 3.180134
#> 71 1.930 3.180772
#> 72 1.929 3.181411
#> 73 1.928 3.182051
#> 74 1.927 3.182691
#> 75 1.926 3.183331
#> 76 1.925 3.183972
#> 77 1.924 3.184614
#> 78 1.923 3.185256
#> 79 1.922 3.185898
#> 80 1.921 3.186541
#> 81 1.920 3.187184
#> 82 1.919 3.187828
#> 83 1.918 3.188473
#> 84 1.917 3.189118
#> 85 1.916 3.189763
#> 86 1.915 3.190409
#> 87 1.914 3.191056
#> 88 1.913 3.191703
#> 89 1.912 3.192350
#> 90 1.911 3.192998
#> 91 1.910 3.193647
#> 92 1.909 3.194296
#> 93 1.908 3.194945
#> 94 1.907 3.195595
#> 95 1.906 3.196246
#> 96 1.905 3.196897
#> 97 1.904 3.197548
#> 98 1.903 3.198200
#> 99 1.902 3.198853
#> 100 1.901 3.199506
#> 101 1.900 3.200160
#> 102 1.899 3.200814
#> 103 1.898 3.201468
#> 104 1.897 3.202123
#> 105 1.896 3.202779
#> 106 1.895 3.203435
#> 107 1.894 3.204092
#> 108 1.893 3.204749
#> 109 1.892 3.205407
#> 110 1.891 3.206065
#> 111 1.890 3.206723
#> 112 1.889 3.207383
#> 113 1.888 3.208042
#> 114 1.887 3.208703
#> 115 1.886 3.209363
#> 116 1.885 3.210025
#> 117 1.884 3.210686
#> 118 1.883 3.211349
#> 119 1.882 3.212012
#> 120 1.881 3.212675
#> 121 1.880 3.213339
#> 122 1.879 3.214003
#> 123 1.878 3.214668
#> 124 1.877 3.215333
#> 125 1.876 3.215999
#> 126 1.875 3.216666
#> 127 1.874 3.217333
#> 128 1.873 3.218000
#> 129 1.872 3.218668
#> 130 1.871 3.219337
#> 131 1.870 3.220006
#> 132 1.869 3.220676
#> 133 1.868 3.221346
#> 134 1.867 3.222016
#> 135 1.866 3.222687
#> 136 1.865 3.223359
#> 137 1.864 3.224031
#> 138 1.863 3.224704
#> 139 1.862 3.225377
#> 140 1.861 3.226051
#> 141 1.860 3.226726
#> 142 1.859 3.227400
#> 143 1.858 3.228076
#> 144 1.857 3.228752
#> 145 1.856 3.229428
#> 146 1.855 3.230105
#> 147 1.854 3.230783
#> 148 1.853 3.231461
#> 149 1.852 3.232139
#> 150 1.851 3.232818
#> 151 1.850 3.233498
#> 152 1.849 3.234178
#> 153 1.848 3.234859
#> 154 1.847 3.235540
#> 155 1.846 3.236222
#> 156 1.845 3.236904
#> 157 1.844 3.237587
#> 158 1.843 3.238270
#> 159 1.842 3.238954
#> 160 1.841 3.239638
#> 161 1.840 3.240323
#> 162 1.839 3.241009
#> 163 1.838 3.241695
#> 164 1.837 3.242382
#> 165 1.836 3.243069
#> 166 1.835 3.243756
#> 167 1.834 3.244445
#> 168 1.833 3.245133
#> 169 1.832 3.245823
#> 170 1.831 3.246512
#> 171 1.830 3.247203
#> 172 1.829 3.247894
#> 173 1.828 3.248585
#> 174 1.827 3.249277
#> 175 1.826 3.249970
#> 176 1.825 3.250663
#> 177 1.824 3.251356
#> 178 1.823 3.252050
#> 179 1.822 3.252745
#> 180 1.821 3.253440
#> 181 1.820 3.254136
#> 182 1.819 3.254833
#> 183 1.818 3.255529
#> 184 1.817 3.256227
#> 185 1.816 3.256925
#> 186 1.815 3.257623
#> 187 1.814 3.258322
#> 188 1.813 3.259022
#> 189 1.812 3.259722
#> 190 1.811 3.260423
#> 191 1.810 3.261124
#> 192 1.809 3.261826
#> 193 1.808 3.262529
#> 194 1.807 3.263231
#> 195 1.806 3.263935
#> 196 1.805 3.264639
#> 197 1.804 3.265344
#> 198 1.803 3.266049
#> 199 1.802 3.266754
#> 200 1.801 3.267461
#> 201 1.800 3.268168
#> 202 1.799 3.268875
#> 203 1.798 3.269583
#> 204 1.797 3.270291
#> 205 1.796 3.271000
#> 206 1.795 3.271710
#> 207 1.794 3.272420
#> 208 1.793 3.273131
#> 209 1.792 3.273842
#> 210 1.791 3.274554
#> 211 1.790 3.275266
#> 212 1.789 3.275979
#> 213 1.788 3.276693
#> 214 1.787 3.277407
#> 215 1.786 3.278121
#> 216 1.785 3.278837
#> 217 1.784 3.279552
#> 218 1.783 3.280269
#> 219 1.782 3.280986
#> 220 1.781 3.281703
#> 221 1.780 3.282421
#> 222 1.779 3.283140
#> 223 1.778 3.283859
#> 224 1.777 3.284579
#> 225 1.776 3.285299
#> 226 1.775 3.286020
#> 227 1.774 3.286741
#> 228 1.773 3.287463
#> 229 1.772 3.288186
#> 230 1.771 3.288909
#> 231 1.770 3.289633
#> 232 1.769 3.290357
#> 233 1.768 3.291082
#> 234 1.767 3.291807
#> 235 1.766 3.292533
#> 236 1.765 3.293260
#> 237 1.764 3.293987
#> 238 1.763 3.294714
#> 239 1.762 3.295443
#> 240 1.761 3.296171
#> 241 1.760 3.296901
#> 242 1.759 3.297631
#> 243 1.758 3.298361
#> 244 1.757 3.299093
#> 245 1.756 3.299824
#> 246 1.755 3.300557
#> 247 1.754 3.301289
#> 248 1.753 3.302023
#> 249 1.752 3.302757
#> 250 1.751 3.303492
#> 251 1.750 3.304227
#> 252 1.749 3.304963
#> 253 1.748 3.305699
#> 254 1.747 3.306436
#> 255 1.746 3.307173
#> 256 1.745 3.307911
#> 257 1.744 3.308650
#> 258 1.743 3.309389
#> 259 1.742 3.310129
#> 260 1.741 3.310870
#> 261 1.740 3.311611
#> 262 1.739 3.312352
#> 263 1.738 3.313094
#> 264 1.737 3.313837
#> 265 1.736 3.314581
#> 266 1.735 3.315325
#> 267 1.734 3.316069
#> 268 1.733 3.316814
#> 269 1.732 3.317560
#> 270 1.731 3.318306
#> 271 1.730 3.319053
#> 272 1.729 3.319801
#> 273 1.728 3.320549
#> 274 1.727 3.321297
#> 275 1.726 3.322047
#> 276 1.725 3.322796
#> 277 1.724 3.323547
#> 278 1.723 3.324298
#> 279 1.722 3.325049
#> 280 1.721 3.325802
#> 281 1.720 3.326554
#> 282 1.719 3.327308
#> 283 1.718 3.328062
#> 284 1.717 3.328816
#> 285 1.716 3.329572
#> 286 1.715 3.330327
#> 287 1.714 3.331084
#> 288 1.713 3.331841
#> 289 1.712 3.332598
#> 290 1.711 3.333357
#> 291 1.710 3.334115
#> 292 1.709 3.334875
#> 293 1.708 3.335635
#> 294 1.707 3.336395
#> 295 1.706 3.337156
#> 296 1.705 3.337918
#> 297 1.704 3.338681
#> 298 1.703 3.339444
#> 299 1.702 3.340207
#> 300 1.701 3.340971
#> 301 1.700 3.341736
#> 302 1.699 3.342502
#> 303 1.698 3.343268
#> 304 1.697 3.344034
#> 305 1.696 3.344801
#> 306 1.695 3.345569
#> 307 1.694 3.346338
#> 308 1.693 3.347107
#> 309 1.692 3.347876
#> 310 1.691 3.348647
#> 311 1.690 3.349417
#> 312 1.689 3.350189
#> 313 1.688 3.350961
#> 314 1.687 3.351734
#> 315 1.686 3.352507
#> 316 1.685 3.353281
#> 317 1.684 3.354056
#> 318 1.683 3.354831
#> 319 1.682 3.355606
#> 320 1.681 3.356383
#> 321 1.680 3.357160
#> 322 1.679 3.357937
#> 323 1.678 3.358716
#> 324 1.677 3.359495
#> 325 1.676 3.360274
#> 326 1.675 3.361054
#> 327 1.674 3.361835
#> 328 1.673 3.362616
#> 329 1.672 3.363398
#> 330 1.671 3.364181
#> 331 1.670 3.364964
#> 332 1.669 3.365748
#> 333 1.668 3.366532
#> 334 1.667 3.367317
#> 335 1.666 3.368103
#> 336 1.665 3.368889
#> 337 1.664 3.369676
#> 338 1.663 3.370463
#> 339 1.662 3.371251
#> 340 1.661 3.372040
#> 341 1.660 3.372830
#> 342 1.659 3.373620
#> 343 1.658 3.374410
#> 344 1.657 3.375202
#> 345 1.656 3.375994
#> 346 1.655 3.376786
#> 347 1.654 3.377579
#> 348 1.653 3.378373
#> 349 1.652 3.379167
#> 350 1.651 3.379962
#> 351 1.650 3.380758
#> 352 1.649 3.381554
#> 353 1.648 3.382351
#> 354 1.647 3.383149
#> 355 1.646 3.383947
#> 356 1.645 3.384746
#> 357 1.644 3.385545
#> 358 1.643 3.386346
#> 359 1.642 3.387146
#> 360 1.641 3.387948
#> 361 1.640 3.388750
#> 362 1.639 3.389552
#> 363 1.638 3.390356
#> 364 1.637 3.391160
#> 365 1.636 3.391964
#> 366 1.635 3.392769
#> 367 1.634 3.393575
#> 368 1.633 3.394382
#> 369 1.632 3.395189
#> 370 1.631 3.395997
#> 371 1.630 3.396805
#> 372 1.629 3.397614
#> 373 1.628 3.398424
#> 374 1.627 3.399234
#> 375 1.626 3.400045
#> 376 1.625 3.400857
#> 377 1.624 3.401669
#> 378 1.623 3.402482
#> 379 1.622 3.403295
#> 380 1.621 3.404109
#> 381 1.620 3.404924
#> 382 1.619 3.405740
#> 383 1.618 3.406556
#> 384 1.617 3.407373
#> 385 1.616 3.408190
#> 386 1.615 3.409008
#> 387 1.614 3.409827
#> 388 1.613 3.410646
#> 389 1.612 3.411466
#> 390 1.611 3.412287
#> 391 1.610 3.413108
#> 392 1.609 3.413930
#> 393 1.608 3.414753
#> 394 1.607 3.415576
#> 395 1.606 3.416400
#> 396 1.605 3.417225
#> 397 1.604 3.418050
#> 398 1.603 3.418876
#> 399 1.602 3.419702
#> 400 1.601 3.420530
#> 401 1.600 3.421358
#> 402 1.599 3.422186
#> 403 1.598 3.423015
#> 404 1.597 3.423845
#> 405 1.596 3.424676
#> 406 1.595 3.425507
#> 407 1.594 3.426339
#> 408 1.593 3.427171
#> 409 1.592 3.428004
#> 410 1.591 3.428838
#> 411 1.590 3.429673
#> 412 1.589 3.430508
#> 413 1.588 3.431344
#> 414 1.587 3.432180
#> 415 1.586 3.433017
#> 416 1.585 3.433855
#> 417 1.584 3.434693
#> 418 1.583 3.435533
#> 419 1.582 3.436372
#> 420 1.581 3.437213
#> 421 1.580 3.438054
#> 422 1.579 3.438896
#> 423 1.578 3.439738
#> 424 1.577 3.440581
#> 425 1.576 3.441425
#> 426 1.575 3.442270
#> 427 1.574 3.443115
#> 428 1.573 3.443961
#> 429 1.572 3.444807
#> 430 1.571 3.445654
#> 431 1.570 3.446502
#> 432 1.569 3.447351
#> 433 1.568 3.448200
#> 434 1.567 3.449050
#> 435 1.566 3.449900
#> 436 1.565 3.450752
#> 437 1.564 3.451603
#> 438 1.563 3.452456
#> 439 1.562 3.453309
#> 440 1.561 3.454163
#> 441 1.560 3.455018
#> 442 1.559 3.455873
#> 443 1.558 3.456729
#> 444 1.557 3.457586
#> 445 1.556 3.458443
#> 446 1.555 3.459301
#> 447 1.554 3.460160
#> 448 1.553 3.461019
#> 449 1.552 3.461879
#> 450 1.551 3.462740
#> 451 1.550 3.463601
#> 452 1.549 3.464463
#> 453 1.548 3.465326
#> 454 1.547 3.466190
#> 455 1.546 3.467054
#> 456 1.545 3.467919
#> 457 1.544 3.468784
#> 458 1.543 3.469651
#> 459 1.542 3.470518
#> 460 1.541 3.471385
#> 461 1.540 3.472253
#> 462 1.539 3.473122
#> 463 1.538 3.473992
#> 464 1.537 3.474863
#> 465 1.536 3.475734
#> 466 1.535 3.476605
#> 467 1.534 3.477478
#> 468 1.533 3.478351
#> 469 1.532 3.479225
#> 470 1.531 3.480099
#> 471 1.530 3.480975
#> 472 1.529 3.481851
#> 473 1.528 3.482727
#> 474 1.527 3.483605
#> 475 1.526 3.484483
#> 476 1.525 3.485361
#> 477 1.524 3.486241
#> 478 1.523 3.487121
#> 479 1.522 3.488002
#> 480 1.521 3.488883
#> 481 1.520 3.489766
#> 482 1.519 3.490648
#> 483 1.518 3.491532
#> 484 1.517 3.492416
#> 485 1.516 3.493302
#> 486 1.515 3.494187
#> 487 1.514 3.495074
#> 488 1.513 3.495961
#> 489 1.512 3.496849
#> 490 1.511 3.497737
#> 491 1.510 3.498627
#> 492 1.509 3.499517
#> 493 1.508 3.500407
#> 494 1.507 3.501299
#> 495 1.506 3.502191
#> 496 1.505 3.503084
#> 497 1.504 3.503977
#> 498 1.503 3.504871
#> 499 1.502 3.505766
#> 500 1.501 3.506662
#> 501 1.500 3.507559
#> 502 1.499 3.508456
#> 503 1.498 3.509353
#> 504 1.497 3.510252
#> 505 1.496 3.511151
#> 506 1.495 3.512051
#> 507 1.494 3.512952
#> 508 1.493 3.513853
#> 509 1.492 3.514755
#> 510 1.491 3.515658
#> 511 1.490 3.516562
#> 512 1.489 3.517466
#> 513 1.488 3.518371
#> 514 1.487 3.519277
#> 515 1.486 3.520183
#> 516 1.485 3.521090
#> 517 1.484 3.521998
#> 518 1.483 3.522907
#> 519 1.482 3.523816
#> 520 1.481 3.524726
#> 521 1.480 3.525637
#> 522 1.479 3.526548
#> 523 1.478 3.527461
#> 524 1.477 3.528374
#> 525 1.476 3.529287
#> 526 1.475 3.530202
#> 527 1.474 3.531117
#> 528 1.473 3.532033
#> 529 1.472 3.532949
#> 530 1.471 3.533867
#> 531 1.470 3.534785
#> 532 1.469 3.535703
#> 533 1.468 3.536623
#> 534 1.467 3.537543
#> 535 1.466 3.538464
#> 536 1.465 3.539386
#> 537 1.464 3.540308
#> 538 1.463 3.541232
#> 539 1.462 3.542155
#> 540 1.461 3.543080
#> 541 1.460 3.544006
#> 542 1.459 3.544932
#> 543 1.458 3.545859
#> 544 1.457 3.546786
#> 545 1.456 3.547714
#> 546 1.455 3.548644
#> 547 1.454 3.549573
#> 548 1.453 3.550504
#> 549 1.452 3.551435
#> 550 1.451 3.552367
#> 551 1.450 3.553300
#> 552 1.449 3.554234
#> 553 1.448 3.555168
#> 554 1.447 3.556103
#> 555 1.446 3.557039
#> 556 1.445 3.557975
#> 557 1.444 3.558912
#> 558 1.443 3.559850
#> 559 1.442 3.560789
#> 560 1.441 3.561729
#> 561 1.440 3.562669
#> 562 1.439 3.563610
#> 563 1.438 3.564552
#> 564 1.437 3.565494
#> 565 1.436 3.566437
#> 566 1.435 3.567381
#> 567 1.434 3.568326
#> 568 1.433 3.569272
#> 569 1.432 3.570218
#> 570 1.431 3.571165
#> 571 1.430 3.572113
#> 572 1.429 3.573061
#> 573 1.428 3.574010
#> 574 1.427 3.574960
#> 575 1.426 3.575911
#> 576 1.425 3.576863
#> 577 1.424 3.577815
#> 578 1.423 3.578768
#> 579 1.422 3.579722
#> 580 1.421 3.580676
#> 581 1.420 3.581632
#> 582 1.419 3.582588
#> 583 1.418 3.583545
#> 584 1.417 3.584502
#> 585 1.416 3.585461
#> 586 1.415 3.586420
#> 587 1.414 3.587380
#> 588 1.413 3.588340
#> 589 1.412 3.589302
#> 590 1.411 3.590264
#> 591 1.410 3.591227
#> 592 1.409 3.592191
#> 593 1.408 3.593155
#> 594 1.407 3.594121
#> 595 1.406 3.595087
#> 596 1.405 3.596053
#> 597 1.404 3.597021
#> 598 1.403 3.597989
#> 599 1.402 3.598959
#> 600 1.401 3.599928
#> 601 1.400 3.600899
#> 602 1.399 3.601871
#> 603 1.398 3.602843
#> 604 1.397 3.603816
#> 605 1.396 3.604789
#> 606 1.395 3.605764
#> 607 1.394 3.606739
#> 608 1.393 3.607715
#> 609 1.392 3.608692
#> 610 1.391 3.609670
#> 611 1.390 3.610648
#> 612 1.389 3.611628
#> 613 1.388 3.612608
#> 614 1.387 3.613588
#> 615 1.386 3.614570
#> 616 1.385 3.615552
#> 617 1.384 3.616535
#> 618 1.383 3.617519
#> 619 1.382 3.618504
#> 620 1.381 3.619489
#> 621 1.380 3.620475
#> 622 1.379 3.621462
#> 623 1.378 3.622450
#> 624 1.377 3.623439
#> 625 1.376 3.624428
#> 626 1.375 3.625418
#> 627 1.374 3.626409
#> 628 1.373 3.627401
#> 629 1.372 3.628394
#> 630 1.371 3.629387
#> 631 1.370 3.630381
#> 632 1.369 3.631376
#> 633 1.368 3.632372
#> 634 1.367 3.633368
#> 635 1.366 3.634366
#> 636 1.365 3.635364
#> 637 1.364 3.636362
#> 638 1.363 3.637362
#> 639 1.362 3.638363
#> 640 1.361 3.639364
#> 641 1.360 3.640366
#> 642 1.359 3.641369
#> 643 1.358 3.642372
#> 644 1.357 3.643377
#> 645 1.356 3.644382
#> 646 1.355 3.645388
#> 647 1.354 3.646395
#> 648 1.353 3.647403
#> 649 1.352 3.648411
#> 650 1.351 3.649420
#> 651 1.350 3.650430
#> 652 1.349 3.651441
#> 653 1.348 3.652453
#> 654 1.347 3.653465
#> 655 1.346 3.654479
#> 656 1.345 3.655493
#> 657 1.344 3.656508
#> 658 1.343 3.657523
#> 659 1.342 3.658540
#> 660 1.341 3.659557
#> 661 1.340 3.660575
#> 662 1.339 3.661594
#> 663 1.338 3.662614
#> 664 1.337 3.663635
#> 665 1.336 3.664656
#> 666 1.335 3.665678
#> 667 1.334 3.666701
#> 668 1.333 3.667725
#> 669 1.332 3.668749
#> 670 1.331 3.669775
#> 671 1.330 3.670801
#> 672 1.329 3.671828
#> 673 1.328 3.672856
#> 674 1.327 3.673885
#> 675 1.326 3.674914
#> 676 1.325 3.675945
#> 677 1.324 3.676976
#> 678 1.323 3.678008
#> 679 1.322 3.679041
#> 680 1.321 3.680074
#> 681 1.320 3.681109
#> 682 1.319 3.682144
#> 683 1.318 3.683180
#> 684 1.317 3.684217
#> 685 1.316 3.685255
#> 686 1.315 3.686293
#> 687 1.314 3.687332
#> 688 1.313 3.688373
#> 689 1.312 3.689414
#> 690 1.311 3.690456
#> 691 1.310 3.691498
#> 692 1.309 3.692542
#> 693 1.308 3.693586
#> 694 1.307 3.694631
#> 695 1.306 3.695677
#> 696 1.305 3.696724
#> 697 1.304 3.697772
#> 698 1.303 3.698820
#> 699 1.302 3.699870
#> 700 1.301 3.700920
#> 701 1.300 3.701971
#> 702 1.299 3.703023
#> 703 1.298 3.704075
#> 704 1.297 3.705129
#> 705 1.296 3.706183
#> 706 1.295 3.707238
#> 707 1.294 3.708294
#> 708 1.293 3.709351
#> 709 1.292 3.710409
#> 710 1.291 3.711467
#> 711 1.290 3.712527
#> 712 1.289 3.713587
#> 713 1.288 3.714648
#> 714 1.287 3.715710
#> 715 1.286 3.716773
#> 716 1.285 3.717836
#> 717 1.284 3.718901
#> 718 1.283 3.719966
#> 719 1.282 3.721032
#> 720 1.281 3.722099
#> 721 1.280 3.723167
#> 722 1.279 3.724236
#> 723 1.278 3.725305
#> 724 1.277 3.726375
#> 725 1.276 3.727447
#> 726 1.275 3.728519
#> 727 1.274 3.729592
#> 728 1.273 3.730665
#> 729 1.272 3.731740
#> 730 1.271 3.732815
#> 731 1.270 3.733892
#> 732 1.269 3.734969
#> 733 1.268 3.736047
#> 734 1.267 3.737126
#> 735 1.266 3.738206
#> 736 1.265 3.739286
#> 737 1.264 3.740368
#> 738 1.263 3.741450
#> 739 1.262 3.742533
#> 740 1.261 3.743617
#> 741 1.260 3.744702
#> 742 1.259 3.745788
#> 743 1.258 3.746874
#> 744 1.257 3.747962
#> 745 1.256 3.749050
#> 746 1.255 3.750139
#> 747 1.254 3.751230
#> 748 1.253 3.752320
#> 749 1.252 3.753412
#> 750 1.251 3.754505
#> 751 1.250 3.755598
#> 752 1.249 3.756693
#> 753 1.248 3.757788
#> 754 1.247 3.758884
#> 755 1.246 3.759981
#> 756 1.245 3.761079
#> 757 1.244 3.762178
#> 758 1.243 3.763277
#> 759 1.242 3.764378
#> 760 1.241 3.765479
#> 761 1.240 3.766581
#> 762 1.239 3.767684
#> 763 1.238 3.768788
#> 764 1.237 3.769893
#> 765 1.236 3.770999
#> 766 1.235 3.772106
#> 767 1.234 3.773213
#> 768 1.233 3.774321
#> 769 1.232 3.775431
#> 770 1.231 3.776541
#> 771 1.230 3.777652
#> 772 1.229 3.778764
#> 773 1.228 3.779876
#> 774 1.227 3.780990
#> 775 1.226 3.782104
#> 776 1.225 3.783220
#> 777 1.224 3.784336
#> 778 1.223 3.785453
#> 779 1.222 3.786571
#> 780 1.221 3.787690
#> 781 1.220 3.788810
#> 782 1.219 3.789931
#> 783 1.218 3.791052
#> 784 1.217 3.792175
#> 785 1.216 3.793298
#> 786 1.215 3.794422
#> 787 1.214 3.795547
#> 788 1.213 3.796673
#> 789 1.212 3.797800
#> 790 1.211 3.798928
#> 791 1.210 3.800057
#> 792 1.209 3.801186
#> 793 1.208 3.802317
#> 794 1.207 3.803448
#> 795 1.206 3.804581
#> 796 1.205 3.805714
#> 797 1.204 3.806848
#> 798 1.203 3.807983
#> 799 1.202 3.809119
#> 800 1.201 3.810255
#> 801 1.200 3.811393
#> 802 1.199 3.812531
#> 803 1.198 3.813671
#> 804 1.197 3.814811
#> 805 1.196 3.815953
#> 806 1.195 3.817095
#> 807 1.194 3.818238
#> 808 1.193 3.819382
#> 809 1.192 3.820527
#> 810 1.191 3.821672
#> 811 1.190 3.822819
#> 812 1.189 3.823967
#> 813 1.188 3.825115
#> 814 1.187 3.826264
#> 815 1.186 3.827415
#> 816 1.185 3.828566
#> 817 1.184 3.829718
#> 818 1.183 3.830871
#> 819 1.182 3.832025
#> 820 1.181 3.833180
#> 821 1.180 3.834336
#> 822 1.179 3.835492
#> 823 1.178 3.836650
#> 824 1.177 3.837808
#> 825 1.176 3.838968
#> 826 1.175 3.840128
#> 827 1.174 3.841289
#> 828 1.173 3.842451
#> 829 1.172 3.843614
#> 830 1.171 3.844778
#> 831 1.170 3.845943
#> 832 1.169 3.847109
#> 833 1.168 3.848276
#> 834 1.167 3.849444
#> 835 1.166 3.850612
#> 836 1.165 3.851782
#> 837 1.164 3.852952
#> 838 1.163 3.854123
#> 839 1.162 3.855296
#> 840 1.161 3.856469
#> 841 1.160 3.857643
#> 842 1.159 3.858818
#> 843 1.158 3.859994
#> 844 1.157 3.861171
#> 845 1.156 3.862349
#> 846 1.155 3.863528
#> 847 1.154 3.864707
#> 848 1.153 3.865888
#> 849 1.152 3.867069
#> 850 1.151 3.868252
#> 851 1.150 3.869435
#> 852 1.149 3.870620
#> 853 1.148 3.871805
#> 854 1.147 3.872991
#> 855 1.146 3.874178
#> 856 1.145 3.875366
#> 857 1.144 3.876555
#> 858 1.143 3.877745
#> 859 1.142 3.878936
#> 860 1.141 3.880128
#> 861 1.140 3.881321
#> 862 1.139 3.882514
#> 863 1.138 3.883709
#> 864 1.137 3.884905
#> 865 1.136 3.886101
#> 866 1.135 3.887299
#> 867 1.134 3.888497
#> 868 1.133 3.889696
#> 869 1.132 3.890897
#> 870 1.131 3.892098
#> 871 1.130 3.893300
#> 872 1.129 3.894503
#> 873 1.128 3.895707
#> 874 1.127 3.896912
#> 875 1.126 3.898118
#> 876 1.125 3.899325
#> 877 1.124 3.900533
#> 878 1.123 3.901742
#> 879 1.122 3.902951
#> 880 1.121 3.904162
#> 881 1.120 3.905374
#> 882 1.119 3.906586
#> 883 1.118 3.907800
#> 884 1.117 3.909014
#> 885 1.116 3.910230
#> 886 1.115 3.911446
#> 887 1.114 3.912664
#> 888 1.113 3.913882
#> 889 1.112 3.915101
#> 890 1.111 3.916321
#> 891 1.110 3.917543
#> 892 1.109 3.918765
#> 893 1.108 3.919988
#> 894 1.107 3.921212
#> 895 1.106 3.922437
#> 896 1.105 3.923663
#> 897 1.104 3.924890
#> 898 1.103 3.926118
#> 899 1.102 3.927347
#> 900 1.101 3.928577
#> 901 1.100 3.929807
#> 902 1.099 3.931039
#> 903 1.098 3.932272
#> 904 1.097 3.933506
#> 905 1.096 3.934740
#> 906 1.095 3.935976
#> 907 1.094 3.937212
#> 908 1.093 3.938450
#> 909 1.092 3.939689
#> 910 1.091 3.940928
#> 911 1.090 3.942169
#> 912 1.089 3.943410
#> 913 1.088 3.944652
#> 914 1.087 3.945896
#> 915 1.086 3.947140
#> 916 1.085 3.948386
#> 917 1.084 3.949632
#> 918 1.083 3.950879
#> 919 1.082 3.952127
#> 920 1.081 3.953377
#> 921 1.080 3.954627
#> 922 1.079 3.955878
#> 923 1.078 3.957130
#> 924 1.077 3.958383
#> 925 1.076 3.959638
#> 926 1.075 3.960893
#> 927 1.074 3.962149
#> 928 1.073 3.963406
#> 929 1.072 3.964664
#> 930 1.071 3.965923
#> 931 1.070 3.967183
#> 932 1.069 3.968444
#> 933 1.068 3.969706
#> 934 1.067 3.970969
#> 935 1.066 3.972233
#> 936 1.065 3.973498
#> 937 1.064 3.974764
#> 938 1.063 3.976031
#> 939 1.062 3.977299
#> 940 1.061 3.978568
#> 941 1.060 3.979838
#> 942 1.059 3.981109
#> 943 1.058 3.982381
#> 944 1.057 3.983653
#> 945 1.056 3.984927
#> 946 1.055 3.986202
#> 947 1.054 3.987478
#> 948 1.053 3.988755
#> 949 1.052 3.990033
#> 950 1.051 3.991312
#> 951 1.050 3.992592
#> 952 1.049 3.993872
#> 953 1.048 3.995154
#> 954 1.047 3.996437
#> 955 1.046 3.997721
#> 956 1.045 3.999006
#> 957 1.044 4.000292
#> 958 1.043 4.001579
#> 959 1.042 4.002866
#> 960 1.041 4.004155
#> 961 1.040 4.005445
#> 962 1.039 4.006736
#> 963 1.038 4.008028
#> 964 1.037 4.009321
#> 965 1.036 4.010615
#> 966 1.035 4.011910
#> 967 1.034 4.013206
#> 968 1.033 4.014502
#> 969 1.032 4.015800
#> 970 1.031 4.017099
#> 971 1.030 4.018399
#> 972 1.029 4.019700
#> 973 1.028 4.021002
#> 974 1.027 4.022305
#> 975 1.026 4.023609
#> 976 1.025 4.024914
#> 977 1.024 4.026220
#> 978 1.023 4.027527
#> 979 1.022 4.028835
#> 980 1.021 4.030144
#> 981 1.020 4.031455
#> 982 1.019 4.032766
#> 983 1.018 4.034078
#> 984 1.017 4.035391
#> 985 1.016 4.036705
#> 986 1.015 4.038020
#> 987 1.014 4.039337
#> 988 1.013 4.040654
#> 989 1.012 4.041972
#> 990 1.011 4.043291
#> 991 1.010 4.044612
#> 992 1.009 4.045933
#> 993 1.008 4.047255
#> 994 1.007 4.048579
#> 995 1.006 4.049903
#> 996 1.005 4.051228
#> 997 1.004 4.052555
#> 998 1.003 4.053882
#> 999 1.002 4.055211
#> 1000 1.001 4.056541
#> 1001 1.000 4.057871
#> 1002 0.999 4.059203
#> 1003 0.998 4.060535
#> 1004 0.997 4.061869
#> 1005 0.996 4.063204
#> 1006 0.995 4.064539
#> 1007 0.994 4.065876
#> 1008 0.993 4.067214
#> 1009 0.992 4.068553
#> 1010 0.991 4.069893
#> 1011 0.990 4.071234
#> 1012 0.989 4.072576
#> 1013 0.988 4.073919
#> 1014 0.987 4.075263
#> 1015 0.986 4.076608
#> 1016 0.985 4.077954
#> 1017 0.984 4.079301
#> 1018 0.983 4.080649
#> 1019 0.982 4.081999
#> 1020 0.981 4.083349
#> 1021 0.980 4.084700
#> 1022 0.979 4.086053
#> 1023 0.978 4.087406
#> 1024 0.977 4.088760
#> 1025 0.976 4.090116
#> 1026 0.975 4.091473
#> 1027 0.974 4.092830
#> 1028 0.973 4.094189
#> 1029 0.972 4.095548
#> 1030 0.971 4.096909
#> 1031 0.970 4.098271
#> 1032 0.969 4.099634
#> 1033 0.968 4.100998
#> 1034 0.967 4.102363
#> 1035 0.966 4.103729
#> 1036 0.965 4.105096
#> 1037 0.964 4.106464
#> 1038 0.963 4.107833
#> 1039 0.962 4.109203
#> 1040 0.961 4.110575
#> 1041 0.960 4.111947
#> 1042 0.959 4.113320
#> 1043 0.958 4.114695
#> 1044 0.957 4.116070
#> 1045 0.956 4.117447
#> 1046 0.955 4.118825
#> 1047 0.954 4.120203
#> 1048 0.953 4.121583
#> 1049 0.952 4.122964
#> 1050 0.951 4.124346
#> 1051 0.950 4.125729
#> 1052 0.949 4.127113
#> 1053 0.948 4.128498
#> 1054 0.947 4.129884
#> 1055 0.946 4.131271
#> 1056 0.945 4.132660
#> 1057 0.944 4.134049
#> 1058 0.943 4.135439
#> 1059 0.942 4.136831
#> 1060 0.941 4.138223
#> 1061 0.940 4.139617
#> 1062 0.939 4.141012
#> 1063 0.938 4.142408
#> 1064 0.937 4.143804
#> 1065 0.936 4.145202
#> 1066 0.935 4.146601
#> 1067 0.934 4.148001
#> 1068 0.933 4.149402
#> 1069 0.932 4.150805
#> 1070 0.931 4.152208
#> 1071 0.930 4.153612
#> 1072 0.929 4.155018
#> 1073 0.928 4.156424
#> 1074 0.927 4.157832
#> 1075 0.926 4.159241
#> 1076 0.925 4.160650
#> 1077 0.924 4.162061
#> 1078 0.923 4.163473
#> 1079 0.922 4.164886
#> 1080 0.921 4.166300
#> 1081 0.920 4.167715
#> 1082 0.919 4.169132
#> 1083 0.918 4.170549
#> 1084 0.917 4.171967
#> 1085 0.916 4.173387
#> 1086 0.915 4.174808
#> 1087 0.914 4.176229
#> 1088 0.913 4.177652
#> 1089 0.912 4.179076
#> 1090 0.911 4.180501
#> 1091 0.910 4.181927
#> 1092 0.909 4.183354
#> 1093 0.908 4.184782
#> 1094 0.907 4.186212
#> 1095 0.906 4.187642
#> 1096 0.905 4.189074
#> 1097 0.904 4.190506
#> 1098 0.903 4.191940
#> 1099 0.902 4.193375
#> 1100 0.901 4.194811
#> 1101 0.900 4.196248
#> 1102 0.899 4.197686
#> 1103 0.898 4.199125
#> 1104 0.897 4.200565
#> 1105 0.896 4.202006
#> 1106 0.895 4.203449
#> 1107 0.894 4.204892
#> 1108 0.893 4.206337
#> 1109 0.892 4.207783
#> 1110 0.891 4.209230
#> 1111 0.890 4.210678
#> 1112 0.889 4.212127
#> 1113 0.888 4.213577
#> 1114 0.887 4.215028
#> 1115 0.886 4.216481
#> 1116 0.885 4.217934
#> 1117 0.884 4.219389
#> 1118 0.883 4.220845
#> 1119 0.882 4.222301
#> 1120 0.881 4.223759
#> 1121 0.880 4.225218
#> 1122 0.879 4.226679
#> 1123 0.878 4.228140
#> 1124 0.877 4.229602
#> 1125 0.876 4.231066
#> 1126 0.875 4.232530
#> 1127 0.874 4.233996
#> 1128 0.873 4.235463
#> 1129 0.872 4.236931
#> 1130 0.871 4.238400
#> 1131 0.870 4.239870
#> 1132 0.869 4.241341
#> 1133 0.868 4.242814
#> 1134 0.867 4.244287
#> 1135 0.866 4.245762
#> 1136 0.865 4.247238
#> 1137 0.864 4.248715
#> 1138 0.863 4.250193
#> 1139 0.862 4.251672
#> 1140 0.861 4.253152
#> 1141 0.860 4.254633
#> 1142 0.859 4.256116
#> 1143 0.858 4.257600
#> 1144 0.857 4.259084
#> 1145 0.856 4.260570
#> 1146 0.855 4.262057
#> 1147 0.854 4.263545
#> 1148 0.853 4.265035
#> 1149 0.852 4.266525
#> 1150 0.851 4.268016
#> 1151 0.850 4.269509
#> 1152 0.849 4.271003
#> 1153 0.848 4.272498
#> 1154 0.847 4.273994
#> 1155 0.846 4.275491
#> 1156 0.845 4.276989
#> 1157 0.844 4.278489
#> 1158 0.843 4.279989
#> 1159 0.842 4.281491
#> 1160 0.841 4.282994
#> 1161 0.840 4.284498
#> 1162 0.839 4.286003
#> 1163 0.838 4.287509
#> 1164 0.837 4.289016
#> 1165 0.836 4.290525
#> 1166 0.835 4.292035
#> 1167 0.834 4.293545
#> 1168 0.833 4.295057
#> 1169 0.832 4.296570
#> 1170 0.831 4.298085
#> 1171 0.830 4.299600
#> 1172 0.829 4.301116
#> 1173 0.828 4.302634
#> 1174 0.827 4.304153
#> 1175 0.826 4.305673
#> 1176 0.825 4.307194
#> 1177 0.824 4.308716
#> 1178 0.823 4.310239
#> 1179 0.822 4.311764
#> 1180 0.821 4.313290
#> 1181 0.820 4.314816
#> 1182 0.819 4.316344
#> 1183 0.818 4.317873
#> 1184 0.817 4.319404
#> 1185 0.816 4.320935
#> 1186 0.815 4.322468
#> 1187 0.814 4.324001
#> 1188 0.813 4.325536
#> 1189 0.812 4.327072
#> 1190 0.811 4.328609
#> 1191 0.810 4.330148
#> 1192 0.809 4.331687
#> 1193 0.808 4.333228
#> 1194 0.807 4.334770
#> 1195 0.806 4.336312
#> 1196 0.805 4.337857
#> 1197 0.804 4.339402
#> 1198 0.803 4.340948
#> 1199 0.802 4.342496
#> 1200 0.801 4.344045
#> 1201 0.800 4.345594
#> 1202 0.799 4.347145
#> 1203 0.798 4.348698
#> 1204 0.797 4.350251
#> 1205 0.796 4.351806
#> 1206 0.795 4.353361
#> 1207 0.794 4.354918
#> 1208 0.793 4.356476
#> 1209 0.792 4.358035
#> 1210 0.791 4.359596
#> 1211 0.790 4.361157
#> 1212 0.789 4.362720
#> 1213 0.788 4.364284
#> 1214 0.787 4.365849
#> 1215 0.786 4.367415
#> 1216 0.785 4.368982
#> 1217 0.784 4.370551
#> 1218 0.783 4.372121
#> 1219 0.782 4.373692
#> 1220 0.781 4.375264
#> 1221 0.780 4.376837
#> 1222 0.779 4.378411
#> 1223 0.778 4.379987
#> 1224 0.777 4.381564
#> 1225 0.776 4.383142
#> 1226 0.775 4.384721
#> 1227 0.774 4.386301
#> 1228 0.773 4.387882
#> 1229 0.772 4.389465
#> 1230 0.771 4.391049
#> 1231 0.770 4.392634
#> 1232 0.769 4.394220
#> 1233 0.768 4.395808
#> 1234 0.767 4.397396
#> 1235 0.766 4.398986
#> 1236 0.765 4.400577
#> 1237 0.764 4.402169
#> 1238 0.763 4.403762
#> 1239 0.762 4.405356
#> 1240 0.761 4.406952
#> 1241 0.760 4.408549
#> 1242 0.759 4.410147
#> 1243 0.758 4.411746
#> 1244 0.757 4.413347
#> 1245 0.756 4.414948
#> 1246 0.755 4.416551
#> 1247 0.754 4.418155
#> 1248 0.753 4.419760
#> 1249 0.752 4.421366
#> 1250 0.751 4.422974
#> 1251 0.750 4.424583
#> 1252 0.749 4.426192
#> 1253 0.748 4.427804
#> 1254 0.747 4.429416
#> 1255 0.746 4.431029
#> 1256 0.745 4.432644
#> 1257 0.744 4.434260
#> 1258 0.743 4.435877
#> 1259 0.742 4.437495
#> 1260 0.741 4.439115
#> 1261 0.740 4.440735
#> 1262 0.739 4.442357
#> 1263 0.738 4.443980
#> 1264 0.737 4.445604
#> 1265 0.736 4.447230
#> 1266 0.735 4.448857
#> 1267 0.734 4.450484
#> 1268 0.733 4.452114
#> 1269 0.732 4.453744
#> 1270 0.731 4.455375
#> 1271 0.730 4.457008
#> 1272 0.729 4.458642
#> 1273 0.728 4.460277
#> 1274 0.727 4.461913
#> 1275 0.726 4.463551
#> 1276 0.725 4.465189
#> 1277 0.724 4.466829
#> 1278 0.723 4.468470
#> 1279 0.722 4.470113
#> 1280 0.721 4.471756
#> 1281 0.720 4.473401
#> 1282 0.719 4.475047
#> 1283 0.718 4.476694
#> 1284 0.717 4.478342
#> 1285 0.716 4.479992
#> 1286 0.715 4.481643
#> 1287 0.714 4.483295
#> 1288 0.713 4.484948
#> 1289 0.712 4.486602
#> 1290 0.711 4.488258
#> 1291 0.710 4.489915
#> 1292 0.709 4.491573
#> 1293 0.708 4.493232
#> 1294 0.707 4.494893
#> 1295 0.706 4.496554
#> 1296 0.705 4.498217
#> 1297 0.704 4.499882
#> 1298 0.703 4.501547
#> 1299 0.702 4.503214
#> 1300 0.701 4.504881
#> 1301 0.700 4.506550
#> 1302 0.699 4.508221
#> 1303 0.698 4.509892
#> 1304 0.697 4.511565
#> 1305 0.696 4.513239
#> 1306 0.695 4.514914
#> 1307 0.694 4.516590
#> 1308 0.693 4.518268
#> 1309 0.692 4.519947
#> 1310 0.691 4.521627
#> 1311 0.690 4.523308
#> 1312 0.689 4.524991
#> 1313 0.688 4.526674
#> 1314 0.687 4.528359
#> 1315 0.686 4.530046
#> 1316 0.685 4.531733
#> 1317 0.684 4.533422
#> 1318 0.683 4.535112
#> 1319 0.682 4.536803
#> 1320 0.681 4.538495
#> 1321 0.680 4.540189
#> 1322 0.679 4.541883
#> 1323 0.678 4.543580
#> 1324 0.677 4.545277
#> 1325 0.676 4.546975
#> 1326 0.675 4.548675
#> 1327 0.674 4.550376
#> 1328 0.673 4.552078
#> 1329 0.672 4.553782
#> 1330 0.671 4.555487
#> 1331 0.670 4.557192
#> 1332 0.669 4.558900
#> 1333 0.668 4.560608
#> 1334 0.667 4.562318
#> 1335 0.666 4.564029
#> 1336 0.665 4.565741
#> 1337 0.664 4.567454
#> 1338 0.663 4.569169
#> 1339 0.662 4.570885
#> 1340 0.661 4.572602
#> 1341 0.660 4.574320
#> 1342 0.659 4.576040
#> 1343 0.658 4.577761
#> 1344 0.657 4.579483
#> 1345 0.656 4.581206
#> 1346 0.655 4.582931
#> 1347 0.654 4.584656
#> 1348 0.653 4.586384
#> 1349 0.652 4.588112
#> 1350 0.651 4.589841
#> 1351 0.650 4.591572
#> 1352 0.649 4.593304
#> 1353 0.648 4.595038
#> 1354 0.647 4.596772
#> 1355 0.646 4.598508
#> 1356 0.645 4.600245
#> 1357 0.644 4.601984
#> 1358 0.643 4.603723
#> 1359 0.642 4.605464
#> 1360 0.641 4.607206
#> 1361 0.640 4.608949
#> 1362 0.639 4.610694
#> 1363 0.638 4.612440
#> 1364 0.637 4.614187
#> 1365 0.636 4.615935
#> 1366 0.635 4.617685
#> 1367 0.634 4.619436
#> 1368 0.633 4.621188
#> 1369 0.632 4.622942
#> 1370 0.631 4.624696
#> 1371 0.630 4.626452
#> 1372 0.629 4.628209
#> 1373 0.628 4.629968
#> 1374 0.627 4.631728
#> 1375 0.626 4.633489
#> 1376 0.625 4.635251
#> 1377 0.624 4.637014
#> 1378 0.623 4.638779
#> 1379 0.622 4.640545
#> 1380 0.621 4.642312
#> 1381 0.620 4.644081
#> 1382 0.619 4.645851
#> 1383 0.618 4.647622
#> 1384 0.617 4.649394
#> 1385 0.616 4.651168
#> 1386 0.615 4.652943
#> 1387 0.614 4.654719
#> 1388 0.613 4.656497
#> 1389 0.612 4.658275
#> 1390 0.611 4.660055
#> 1391 0.610 4.661837
#> 1392 0.609 4.663619
#> 1393 0.608 4.665403
#> 1394 0.607 4.667188
#> 1395 0.606 4.668974
#> 1396 0.605 4.670762
#> 1397 0.604 4.672551
#> 1398 0.603 4.674341
#> 1399 0.602 4.676132
#> 1400 0.601 4.677925
#> 1401 0.600 4.679719
#> 1402 0.599 4.681514
#> 1403 0.598 4.683311
#> 1404 0.597 4.685109
#> 1405 0.596 4.686908
#> 1406 0.595 4.688708
#> 1407 0.594 4.690510
#> 1408 0.593 4.692313
#> 1409 0.592 4.694117
#> 1410 0.591 4.695923
#> 1411 0.590 4.697730
#> 1412 0.589 4.699538
#> 1413 0.588 4.701347
#> 1414 0.587 4.703158
#> 1415 0.586 4.704970
#> 1416 0.585 4.706783
#> 1417 0.584 4.708597
#> 1418 0.583 4.710413
#> 1419 0.582 4.712230
#> 1420 0.581 4.714048
#> 1421 0.580 4.715868
#> 1422 0.579 4.717689
#> 1423 0.578 4.719511
#> 1424 0.577 4.721335
#> 1425 0.576 4.723160
#> 1426 0.575 4.724986
#> 1427 0.574 4.726813
#> 1428 0.573 4.728642
#> 1429 0.572 4.730472
#> 1430 0.571 4.732303
#> 1431 0.570 4.734135
#> 1432 0.569 4.735969
#> 1433 0.568 4.737804
#> 1434 0.567 4.739641
#> 1435 0.566 4.741478
#> 1436 0.565 4.743317
#> 1437 0.564 4.745158
#> 1438 0.563 4.746999
#> 1439 0.562 4.748842
#> 1440 0.561 4.750686
#> 1441 0.560 4.752532
#> 1442 0.559 4.754379
#> 1443 0.558 4.756227
#> 1444 0.557 4.758076
#> 1445 0.556 4.759927
#> 1446 0.555 4.761779
#> 1447 0.554 4.763632
#> 1448 0.553 4.765487
#> 1449 0.552 4.767342
#> 1450 0.551 4.769200
#> 1451 0.550 4.771058
#> 1452 0.549 4.772918
#> 1453 0.548 4.774779
#> 1454 0.547 4.776641
#> 1455 0.546 4.778505
#> 1456 0.545 4.780370
#> 1457 0.544 4.782236
#> 1458 0.543 4.784104
#> 1459 0.542 4.785973
#> 1460 0.541 4.787843
#> 1461 0.540 4.789714
#> 1462 0.539 4.791587
#> 1463 0.538 4.793461
#> 1464 0.537 4.795337
#> 1465 0.536 4.797214
#> 1466 0.535 4.799092
#> 1467 0.534 4.800971
#> 1468 0.533 4.802852
#> 1469 0.532 4.804734
#> 1470 0.531 4.806617
#> 1471 0.530 4.808502
#> 1472 0.529 4.810388
#> 1473 0.528 4.812275
#> 1474 0.527 4.814163
#> 1475 0.526 4.816053
#> 1476 0.525 4.817944
#> 1477 0.524 4.819837
#> 1478 0.523 4.821731
#> 1479 0.522 4.823626
#> 1480 0.521 4.825522
#> 1481 0.520 4.827420
#> 1482 0.519 4.829319
#> 1483 0.518 4.831219
#> 1484 0.517 4.833121
#> 1485 0.516 4.835024
#> 1486 0.515 4.836928
#> 1487 0.514 4.838834
#> 1488 0.513 4.840741
#> 1489 0.512 4.842649
#> 1490 0.511 4.844559
#> 1491 0.510 4.846470
#> 1492 0.509 4.848382
#> 1493 0.508 4.850296
#> 1494 0.507 4.852210
#> 1495 0.506 4.854127
#> 1496 0.505 4.856044
#> 1497 0.504 4.857963
#> 1498 0.503 4.859883
#> 1499 0.502 4.861805
#> 1500 0.501 4.863727
#> 1501 0.500 4.865652
#> 1502 0.499 4.867577
#> 1503 0.498 4.869504
#> 1504 0.497 4.871432
#> 1505 0.496 4.873361
#> 1506 0.495 4.875292
#> 1507 0.494 4.877224
#> 1508 0.493 4.879158
#> 1509 0.492 4.881093
#> 1510 0.491 4.883029
#> 1511 0.490 4.884966
#> 1512 0.489 4.886905
#> 1513 0.488 4.888845
#> 1514 0.487 4.890786
#> 1515 0.486 4.892729
#> 1516 0.485 4.894673
#> 1517 0.484 4.896619
#> 1518 0.483 4.898565
#> 1519 0.482 4.900513
#> 1520 0.481 4.902463
#> 1521 0.480 4.904413
#> 1522 0.479 4.906366
#> 1523 0.478 4.908319
#> 1524 0.477 4.910274
#> 1525 0.476 4.912230
#> 1526 0.475 4.914187
#> 1527 0.474 4.916146
#> 1528 0.473 4.918106
#> 1529 0.472 4.920067
#> 1530 0.471 4.922030
#> 1531 0.470 4.923994
#> 1532 0.469 4.925960
#> 1533 0.468 4.927926
#> 1534 0.467 4.929894
#> 1535 0.466 4.931864
#> 1536 0.465 4.933835
#> 1537 0.464 4.935807
#> 1538 0.463 4.937780
#> 1539 0.462 4.939755
#> 1540 0.461 4.941731
#> 1541 0.460 4.943709
#> 1542 0.459 4.945688
#> 1543 0.458 4.947668
#> 1544 0.457 4.949649
#> 1545 0.456 4.951632
#> 1546 0.455 4.953616
#> 1547 0.454 4.955602
#> 1548 0.453 4.957589
#> 1549 0.452 4.959577
#> 1550 0.451 4.961567
#> 1551 0.450 4.963557
#> 1552 0.449 4.965550
#> 1553 0.448 4.967543
#> 1554 0.447 4.969538
#> 1555 0.446 4.971535
#> 1556 0.445 4.973532
#> 1557 0.444 4.975531
#> 1558 0.443 4.977532
#> 1559 0.442 4.979533
#> 1560 0.441 4.981536
#> 1561 0.440 4.983541
#> 1562 0.439 4.985546
#> 1563 0.438 4.987554
#> 1564 0.437 4.989562
#> 1565 0.436 4.991572
#> 1566 0.435 4.993583
#> 1567 0.434 4.995595
#> 1568 0.433 4.997609
#> 1569 0.432 4.999625
#> 1570 0.431 5.001641
#> 1571 0.430 5.003659
#> 1572 0.429 5.005678
#> 1573 0.428 5.007699
#> 1574 0.427 5.009721
#> 1575 0.426 5.011744
#> 1576 0.425 5.013769
#> 1577 0.424 5.015795
#> 1578 0.423 5.017822
#> 1579 0.422 5.019851
#> 1580 0.421 5.021881
#> 1581 0.420 5.023913
#> 1582 0.419 5.025945
#> 1583 0.418 5.027980
#> 1584 0.417 5.030015
#> 1585 0.416 5.032052
#> 1586 0.415 5.034090
#> 1587 0.414 5.036130
#> 1588 0.413 5.038171
#> 1589 0.412 5.040213
#> 1590 0.411 5.042257
#> 1591 0.410 5.044302
#> 1592 0.409 5.046348
#> 1593 0.408 5.048396
#> 1594 0.407 5.050445
#> 1595 0.406 5.052496
#> 1596 0.405 5.054548
#> 1597 0.404 5.056601
#> 1598 0.403 5.058655
#> 1599 0.402 5.060711
#> 1600 0.401 5.062769
#> 1601 0.400 5.064827
#> 1602 0.399 5.066887
#> 1603 0.398 5.068949
#> 1604 0.397 5.071012
#> 1605 0.396 5.073076
#> 1606 0.395 5.075141
#> 1607 0.394 5.077208
#> 1608 0.393 5.079276
#> 1609 0.392 5.081346
#> 1610 0.391 5.083417
#> 1611 0.390 5.085489
#> 1612 0.389 5.087563
#> 1613 0.388 5.089638
#> 1614 0.387 5.091714
#> 1615 0.386 5.093792
#> 1616 0.385 5.095871
#> 1617 0.384 5.097952
#> 1618 0.383 5.100034
#> 1619 0.382 5.102117
#> 1620 0.381 5.104202
#> 1621 0.380 5.106288
#> 1622 0.379 5.108375
#> 1623 0.378 5.110464
#> 1624 0.377 5.112554
#> 1625 0.376 5.114645
#> 1626 0.375 5.116738
#> 1627 0.374 5.118833
#> 1628 0.373 5.120928
#> 1629 0.372 5.123025
#> 1630 0.371 5.125124
#> 1631 0.370 5.127223
#> 1632 0.369 5.129324
#> 1633 0.368 5.131427
#> 1634 0.367 5.133531
#> 1635 0.366 5.135636
#> 1636 0.365 5.137743
#> 1637 0.364 5.139851
#> 1638 0.363 5.141960
#> 1639 0.362 5.144071
#> 1640 0.361 5.146183
#> 1641 0.360 5.148296
#> 1642 0.359 5.150411
#> 1643 0.358 5.152527
#> 1644 0.357 5.154645
#> 1645 0.356 5.156764
#> 1646 0.355 5.158884
#> 1647 0.354 5.161006
#> 1648 0.353 5.163129
#> 1649 0.352 5.165254
#> 1650 0.351 5.167380
#> 1651 0.350 5.169507
#> 1652 0.349 5.171636
#> 1653 0.348 5.173766
#> 1654 0.347 5.175897
#> 1655 0.346 5.178030
#> 1656 0.345 5.180164
#> 1657 0.344 5.182300
#> 1658 0.343 5.184437
#> 1659 0.342 5.186575
#> 1660 0.341 5.188715
#> 1661 0.340 5.190856
#> 1662 0.339 5.192998
#> 1663 0.338 5.195142
#> 1664 0.337 5.197287
#> 1665 0.336 5.199434
#> 1666 0.335 5.201582
#> 1667 0.334 5.203731
#> 1668 0.333 5.205882
#> 1669 0.332 5.208034
#> 1670 0.331 5.210188
#> 1671 0.330 5.212343
#> 1672 0.329 5.214499
#> 1673 0.328 5.216657
#> 1674 0.327 5.218816
#> 1675 0.326 5.220976
#> 1676 0.325 5.223138
#> 1677 0.324 5.225301
#> 1678 0.323 5.227466
#> 1679 0.322 5.229632
#> 1680 0.321 5.231799
#> 1681 0.320 5.233968
#> 1682 0.319 5.236138
#> 1683 0.318 5.238310
#> 1684 0.317 5.240483
#> 1685 0.316 5.242657
#> 1686 0.315 5.244833
#> 1687 0.314 5.247010
#> 1688 0.313 5.249188
#> 1689 0.312 5.251368
#> 1690 0.311 5.253549
#> 1691 0.310 5.255732
#> 1692 0.309 5.257916
#> 1693 0.308 5.260102
#> 1694 0.307 5.262288
#> 1695 0.306 5.264477
#> 1696 0.305 5.266666
#> 1697 0.304 5.268857
#> 1698 0.303 5.271050
#> 1699 0.302 5.273243
#> 1700 0.301 5.275439
#> 1701 0.300 5.277635
#> 1702 0.299 5.279833
#> 1703 0.298 5.282032
#> 1704 0.297 5.284233
#> 1705 0.296 5.286435
#> 1706 0.295 5.288639
#> 1707 0.294 5.290844
#> 1708 0.293 5.293050
#> 1709 0.292 5.295258
#> 1710 0.291 5.297467
#> 1711 0.290 5.299678
#> 1712 0.289 5.301889
#> 1713 0.288 5.304103
#> 1714 0.287 5.306317
#> 1715 0.286 5.308533
#> 1716 0.285 5.310751
#> 1717 0.284 5.312970
#> 1718 0.283 5.315190
#> 1719 0.282 5.317412
#> 1720 0.281 5.319635
#> 1721 0.280 5.321859
#> 1722 0.279 5.324085
#> 1723 0.278 5.326312
#> 1724 0.277 5.328541
#> 1725 0.276 5.330771
#> 1726 0.275 5.333003
#> 1727 0.274 5.335235
#> 1728 0.273 5.337470
#> 1729 0.272 5.339705
#> 1730 0.271 5.341942
#> 1731 0.270 5.344181
#> 1732 0.269 5.346421
#> 1733 0.268 5.348662
#> 1734 0.267 5.350904
#> 1735 0.266 5.353148
#> 1736 0.265 5.355394
#> 1737 0.264 5.357641
#> 1738 0.263 5.359889
#> 1739 0.262 5.362139
#> 1740 0.261 5.364390
#> 1741 0.260 5.366642
#> 1742 0.259 5.368896
#> 1743 0.258 5.371151
#> 1744 0.257 5.373408
#> 1745 0.256 5.375666
#> 1746 0.255 5.377925
#> 1747 0.254 5.380186
#> 1748 0.253 5.382448
#> 1749 0.252 5.384712
#> 1750 0.251 5.386977
#> 1751 0.250 5.389243
#> 1752 0.249 5.391511
#> 1753 0.248 5.393780
#> 1754 0.247 5.396051
#> 1755 0.246 5.398323
#> 1756 0.245 5.400596
#> 1757 0.244 5.402871
#> 1758 0.243 5.405147
#> 1759 0.242 5.407425
#> 1760 0.241 5.409704
#> 1761 0.240 5.411985
#> 1762 0.239 5.414266
#> 1763 0.238 5.416550
#> 1764 0.237 5.418834
#> 1765 0.236 5.421120
#> 1766 0.235 5.423408
#> 1767 0.234 5.425697
#> 1768 0.233 5.427987
#> 1769 0.232 5.430279
#> 1770 0.231 5.432572
#> 1771 0.230 5.434866
#> 1772 0.229 5.437162
#> 1773 0.228 5.439460
#> 1774 0.227 5.441758
#> 1775 0.226 5.444058
#> 1776 0.225 5.446360
#> 1777 0.224 5.448663
#> 1778 0.223 5.450967
#> 1779 0.222 5.453273
#> 1780 0.221 5.455580
#> 1781 0.220 5.457888
#> 1782 0.219 5.460198
#> 1783 0.218 5.462510
#> 1784 0.217 5.464823
#> 1785 0.216 5.467137
#> 1786 0.215 5.469452
#> 1787 0.214 5.471769
#> 1788 0.213 5.474088
#> 1789 0.212 5.476407
#> 1790 0.211 5.478729
#> 1791 0.210 5.481051
#> 1792 0.209 5.483375
#> 1793 0.208 5.485701
#> 1794 0.207 5.488027
#> 1795 0.206 5.490356
#> 1796 0.205 5.492685
#> 1797 0.204 5.495016
#> 1798 0.203 5.497349
#> 1799 0.202 5.499683
#> 1800 0.201 5.502018
#> 1801 0.200 5.504355
#> 1802 0.199 5.506693
#> 1803 0.198 5.509032
#> 1804 0.197 5.511373
#> 1805 0.196 5.513715
#> 1806 0.195 5.516059
#> 1807 0.194 5.518404
#> 1808 0.193 5.520751
#> 1809 0.192 5.523099
#> 1810 0.191 5.525448
#> 1811 0.190 5.527799
#> 1812 0.189 5.530151
#> 1813 0.188 5.532504
#> 1814 0.187 5.534859
#> 1815 0.186 5.537216
#> 1816 0.185 5.539574
#> 1817 0.184 5.541933
#> 1818 0.183 5.544293
#> 1819 0.182 5.546655
#> 1820 0.181 5.549019
#> 1821 0.180 5.551384
#> 1822 0.179 5.553750
#> 1823 0.178 5.556118
#> 1824 0.177 5.558487
#> 1825 0.176 5.560857
#> 1826 0.175 5.563229
#> 1827 0.174 5.565602
#> 1828 0.173 5.567977
#> 1829 0.172 5.570353
#> 1830 0.171 5.572731
#> 1831 0.170 5.575110
#> 1832 0.169 5.577490
#> 1833 0.168 5.579872
#> 1834 0.167 5.582255
#> 1835 0.166 5.584639
#> 1836 0.165 5.587025
#> 1837 0.164 5.589413
#> 1838 0.163 5.591802
#> 1839 0.162 5.594192
#> 1840 0.161 5.596583
#> 1841 0.160 5.598976
#> 1842 0.159 5.601371
#> 1843 0.158 5.603767
#> 1844 0.157 5.606164
#> 1845 0.156 5.608563
#> 1846 0.155 5.610963
#> 1847 0.154 5.613364
#> 1848 0.153 5.615767
#> 1849 0.152 5.618171
#> 1850 0.151 5.620577
#> 1851 0.150 5.622984
#> 1852 0.149 5.625393
#> 1853 0.148 5.627803
#> 1854 0.147 5.630214
#> 1855 0.146 5.632627
#> 1856 0.145 5.635041
#> 1857 0.144 5.637457
#> 1858 0.143 5.639874
#> 1859 0.142 5.642292
#> 1860 0.141 5.644712
#> 1861 0.140 5.647133
#> 1862 0.139 5.649556
#> 1863 0.138 5.651980
#> 1864 0.137 5.654405
#> 1865 0.136 5.656832
#> 1866 0.135 5.659261
#> 1867 0.134 5.661690
#> 1868 0.133 5.664121
#> 1869 0.132 5.666554
#> 1870 0.131 5.668988
#> 1871 0.130 5.671423
#> 1872 0.129 5.673860
#> 1873 0.128 5.676298
#> 1874 0.127 5.678738
#> 1875 0.126 5.681179
#> 1876 0.125 5.683621
#> 1877 0.124 5.686065
#> 1878 0.123 5.688510
#> 1879 0.122 5.690957
#> 1880 0.121 5.693405
#> 1881 0.120 5.695854
#> 1882 0.119 5.698305
#> 1883 0.118 5.700757
#> 1884 0.117 5.703211
#> 1885 0.116 5.705666
#> 1886 0.115 5.708122
#> 1887 0.114 5.710580
#> 1888 0.113 5.713039
#> 1889 0.112 5.715500
#> 1890 0.111 5.717962
#> 1891 0.110 5.720426
#> 1892 0.109 5.722891
#> 1893 0.108 5.725357
#> 1894 0.107 5.727825
#> 1895 0.106 5.730294
#> 1896 0.105 5.732765
#> 1897 0.104 5.735237
#> 1898 0.103 5.737710
#> 1899 0.102 5.740185
#> 1900 0.101 5.742661
#> 1901 0.100 5.745139
#> 1902 0.099 5.747618
#> 1903 0.098 5.750098
#> 1904 0.097 5.752580
#> 1905 0.096 5.755063
#> 1906 0.095 5.757548
#> 1907 0.094 5.760034
#> 1908 0.093 5.762522
#> 1909 0.092 5.765010
#> 1910 0.091 5.767501
#> 1911 0.090 5.769992
#> 1912 0.089 5.772486
#> 1913 0.088 5.774980
#> 1914 0.087 5.777476
#> 1915 0.086 5.779973
#> 1916 0.085 5.782472
#> 1917 0.084 5.784972
#> 1918 0.083 5.787474
#> 1919 0.082 5.789977
#> 1920 0.081 5.792481
#> 1921 0.080 5.794987
#> 1922 0.079 5.797494
#> 1923 0.078 5.800003
#> 1924 0.077 5.802513
#> 1925 0.076 5.805024
#> 1926 0.075 5.807537
#> 1927 0.074 5.810051
#> 1928 0.073 5.812567
#> 1929 0.072 5.815084
#> 1930 0.071 5.817602
#> 1931 0.070 5.820122
#> 1932 0.069 5.822644
#> 1933 0.068 5.825166
#> 1934 0.067 5.827690
#> 1935 0.066 5.830216
#> 1936 0.065 5.832743
#> 1937 0.064 5.835271
#> 1938 0.063 5.837801
#> 1939 0.062 5.840332
#> 1940 0.061 5.842864
#> 1941 0.060 5.845398
#> 1942 0.059 5.847934
#> 1943 0.058 5.850470
#> 1944 0.057 5.853008
#> 1945 0.056 5.855548
#> 1946 0.055 5.858089
#> 1947 0.054 5.860631
#> 1948 0.053 5.863175
#> 1949 0.052 5.865720
#> 1950 0.051 5.868267
#> 1951 0.050 5.870815
#> 1952 0.049 5.873364
#> 1953 0.048 5.875915
#> 1954 0.047 5.878467
#> 1955 0.046 5.881021
#> 1956 0.045 5.883576
#> 1957 0.044 5.886132
#> 1958 0.043 5.888690
#> 1959 0.042 5.891249
#> 1960 0.041 5.893810
#> 1961 0.040 5.896372
#> 1962 0.039 5.898935
#> 1963 0.038 5.901500
#> 1964 0.037 5.904066
#> 1965 0.036 5.906634
#> 1966 0.035 5.909203
#> 1967 0.034 5.911773
#> 1968 0.033 5.914345
#> 1969 0.032 5.916918
#> 1970 0.031 5.919493
#> 1971 0.030 5.922069
#> 1972 0.029 5.924646
#> 1973 0.028 5.927225
#> 1974 0.027 5.929805
#> 1975 0.026 5.932387
#> 1976 0.025 5.934970
#> 1977 0.024 5.937554
#> 1978 0.023 5.940140
#> 1979 0.022 5.942727
#> 1980 0.021 5.945316
#> 1981 0.020 5.947906
#> 1982 0.019 5.950497
#> 1983 0.018 5.953090
#> 1984 0.017 5.955684
#> 1985 0.016 5.958280
#> 1986 0.015 5.960877
#> 1987 0.014 5.963475
#> 1988 0.013 5.966075
#> 1989 0.012 5.968677
#> 1990 0.011 5.971279
#> 1991 0.010 5.973883
#> 1992 0.009 5.976489
#> 1993 0.008 5.979095
#> 1994 0.007 5.981704
#> 1995 0.006 5.984313
#> 1996 0.005 5.986924
#> 1997 0.004 5.989536
#> 1998 0.003 5.992150
#> 1999 0.002 5.994765
#> 2000 0.001 5.997382
#> 2001 0.000 6.000000
# Hill number parameterization