The following values are for Fisher's alpha diversity index (Fisher et al. 1943) given the number of individuals (N), number of species (S) and number of individuals minus the number of species (N-S) in a sample. Fisher's alpha is usually computed for S and N, but N-S was used to emphasize values for which the relationship was least linear (S approximately equal to N). Values are given for S from 1 to 50 and N-S from 1 to 10. Values in increments of 10 for each variable were calculated to 100, and increments of 100 to N-S = 1000 and S = 500. Further discussion, the Maple V program used to generate the table, and interpolation formulas can be found in Rice & Demarais (1996). References: Fisher, R. A., A. S. Corbet, & C. B. Williams. 1943. The relation between the number of species and the number of individuals in a random sample of an animal population. J. Anim. Ecol., 12:4258. Rice, C. G. & S. Demarais. 1996. A table of values for Fisher's alpha log series diversity index. Texas J. Sci., 48:147-158. Submitted by: Clifford G. Rice USACERL P.O. Box 9005 Champaign, IL 61826-9005 c-rice@cecer.army.mil N S N-S alpha 1-4 6-9 11-14 16-29 columns 2 1 1 0.795905 3 1 2 0.525261 4 1 3 0.427961 5 1 4 0.375883 6 1 5 0.342665 7 1 6 0.319258 8 1 7 0.301670 9 1 8 0.287851 10 1 9 0.276629 11 1 10 0.267283 21 1 20 0.218550 31 1 30 0.197545 41 1 40 0.184997 51 1 50 0.176349 61 1 60 0.169887 71 1 70 0.164798 81 1 80 0.160642 91 1 90 0.157156 101 1 100 0.154170 201 1 200 0.137164 301 1 300 0.128932 401 1 400 0.123698 501 1 500 0.119938 601 1 600 0.117041 701 1 700 0.114704 801 1 800 0.112759 901 1 900 0.111099 1001 1 1000 0.109658 3 2 1 2.622302 4 2 2 1.591810 5 2 3 1.235492 6 2 4 1.050523 7 2 5 0.935406 8 2 6 0.855921 9 2 7 0.797217 10 2 8 0.751767 11 2 9 0.715331 12 2 10 0.685330 22 2 20 0.534566 32 2 30 0.472892 42 2 40 0.437099 52 2 50 0.412909 62 2 60 0.395091 72 2 70 0.381219 82 2 80 0.369994 92 2 90 0.360650 102 2 100 0.352698 202 2 200 0.308340 302 2 300 0.287433 402 2 400 0.274327 502 2 500 0.265001 602 2 600 0.257865 702 2 700 0.252141 802 2 800 0.247397 902 2 900 0.243366 1002 2 1000 0.239877 4 3 1 5.452555 5 3 2 3.166545 6 3 3 2.387715 7 3 4 1.988798 8 3 5 1.743444 9 3 6 1.575784 10 3 7 1.453088 11 3 8 1.358866 12 3 9 1.283882 13 3 10 1.222548 23 3 20 0.921111 33 3 30 0.801850 43 3 40 0.733958 53 3 50 0.688676 63 3 60 0.655649 73 3 70 0.630137 83 3 80 0.609623 93 3 90 0.592636 103 3 100 0.578249 203 3 200 0.499121 303 3 300 0.462510 403 3 400 0.439786 503 3 500 0.423722 603 3 600 0.411491 703 3 700 0.401718 803 3 800 0.393641 903 3 900 0.386797 1003 3 1000 0.380885 5 4 1 9.284141 6 4 2 5.244605 7 4 3 3.878367 8 4 4 3.183620 9 4 5 2.759202 10 4 6 2.470984 11 4 7 2.261261 12 4 8 2.101046 13 4 9 1.974152 14 4 10 1.870812 24 4 20 1.370661 34 4 30 1.177507 44 4 40 1.069133 54 4 50 0.997577 64 4 60 0.945784 74 4 70 0.906016 84 4 80 0.874199 94 4 90 0.847962 104 4 100 0.825818 204 4 200 0.705397 304 4 300 0.650492 404 4 400 0.616680 504 4 500 0.592902 604 4 600 0.574866 704 4 700 0.560499 804 4 800 0.548654 904 4 900 0.538638 1004 4 1000 0.530001 6 5 1 14.116350 7 5 2 7.824363 8 5 3 5.705126 9 5 4 4.632178 10 5 5 3.979525 11 5 6 3.538127 12 5 7 3.218173 13 5 8 2.974627 14 5 9 2.782380 15 5 10 2.626307 25 5 20 1.879417 35 5 30 1.596289 45 5 40 1.439255 55 5 50 1.336416 65 5 60 1.262443 75 5 70 1.205926 85 5 80 1.160894 95 5 90 1.123887 105 5 100 1.092749 205 5 200 0.924986 305 5 300 0.849433 405 5 400 0.803212 505 5 500 0.770850 605 5 600 0.746382 705 5 700 0.726941 805 5 800 0.710946 905 5 900 0.697444 1005 5 1000 0.685818 7 6 1 19.948890 8 6 2 10.905110 9 6 3 7.866907 10 6 4 6.333090 11 6 5 5.402807 12 6 6 4.775431 13 6 7 4.321912 14 6 8 3.977597 15 6 9 3.706476 16 6 10 3.486888 26 6 20 2.445096 36 6 30 2.055991 46 6 40 1.842222 56 6 50 1.703185 66 6 60 1.603699 76 6 70 1.528011 86 6 80 1.467916 96 6 90 1.418677 106 6 100 1.377351 206 6 200 1.156498 306 6 300 1.058095 406 6 400 0.998242 506 6 500 0.956495 606 6 600 0.925020 706 6 700 0.900066 806 6 800 0.879573 906 6 900 0.862299 1006 6 1000 0.847445 8 7 1 26.781650 9 7 2 14.486490 10 7 3 10.363130 11 7 4 8.285588 12 7 5 7.028126 13 7 6 6.181852 14 7 7 5.571336 15 7 8 5.108733 16 7 9 4.745157 17 7 10 4.451216 27 7 20 3.066186 37 7 30 2.555122 47 7 40 2.276594 57 7 50 2.096496 67 7 60 1.968218 77 7 70 1.870983 87 7 80 1.794015 97 7 90 1.731116 107 7 100 1.678446 207 7 200 1.398957 307 7 300 1.275610 407 7 400 1.200968 507 7 500 1.149084 607 7 600 1.110065 707 7 700 1.079190 807 7 800 1.053875 907 7 900 1.032565 1007 7 1000 1.014261 9 8 1 34.614530 10 8 2 18.568280 11 8 3 13.193450 12 8 4 10.489210 13 8 5 8.854912 14 8 6 7.756733 15 8 7 6.965710 16 8 8 6.367241 17 8 9 5.897575 18 8 10 5.518403 28 8 20 3.741624 38 8 30 3.092608 48 8 40 2.741322 58 8 50 2.515335 68 8 60 2.355014 78 8 70 2.233886 88 8 80 2.138266 98 8 90 2.060306 108 8 100 1.995154 208 8 200 1.651637 308 8 300 1.501329 408 8 400 1.410794 508 8 500 1.348057 608 8 600 1.300984 708 8 700 1.263803 808 8 800 1.233360 908 8 900 1.207766 1008 8 1000 1.185804 10 9 1 43.447510 11 9 2 23.150380 12 9 3 16.357670 13 9 4 12.943660 14 9 5 10.882790 15 9 6 9.499634 16 9 7 8.504541 17 9 8 7.752577 18 9 9 7.163146 19 9 10 6.687831 29 9 20 4.470630 39 9 30 3.667644 49 9 40 3.235609 59 9 50 2.958924 69 9 60 2.763333 79 9 70 2.615987 89 9 80 2.499954 99 9 90 2.405549 109 9 100 2.326798 209 9 200 1.913969 309 9 300 1.734746 409 9 400 1.627253 509 9 500 1.552977 609 9 600 1.497362 709 9 700 1.453506 809 9 800 1.417646 909 9 900 1.387530 1009 9 1000 1.361713 11 10 1 53.280560 12 10 2 28.232700 13 10 3 19.855620 14 10 4 15.648730 15 10 5 13.111510 16 10 6 11.410250 17 10 7 10.187480 18 10 8 9.264356 19 10 9 8.541451 20 10 10 7.959051 30 10 20 5.252615 40 10 30 4.279607 50 10 40 3.758835 60 10 50 3.426652 70 10 60 3.192577 80 10 70 3.016703 90 10 80 2.878510 100 10 90 2.766290 110 10 100 2.672832 210 10 200 2.185497 310 10 300 1.975455 410 10 400 1.849971 510 10 500 1.763492 610 10 600 1.698866 710 10 700 1.647981 810 10 800 1.606425 910 10 900 1.571561 1010 10 1000 1.541700 12 11 1 64.113650 13 11 2 33.815180 14 11 3 23.687230 15 11 4 18.604280 16 11 5 15.540890 17 11 6 13.488360 18 11 7 12.014270 19 11 8 10.902290 20 11 9 10.032180 21 11 10 9.331730 31 11 20 6.087118 41 11 30 4.928004 51 11 40 4.310498 61 11 50 3.918024 71 11 60 3.642261 81 11 70 3.435557 91 11 80 3.273469 101 11 90 3.142073 111 11 100 3.032813 211 11 200 2.465847 311 11 300 2.223118 411 11 400 2.078639 511 11 500 1.979312 611 11 600 1.905219 711 11 700 1.846963 811 11 800 1.799441 911 11 900 1.759612 1011 11 1000 1.725526 13 12 1 75.946780 14 12 2 39.897790 15 12 3 27.852420 16 12 4 21.810220 17 12 5 18.170790 18 12 6 15.733810 19 12 7 13.984730 20 12 8 12.666180 21 12 9 11.635100 22 12 10 10.805610 32 12 20 6.973775 42 12 30 5.612435 52 12 40 4.890192 62 12 50 4.432633 72 12 60 4.111982 82 12 70 3.872157 92 12 80 3.684445 102 12 90 3.532521 112 12 100 3.406369 212 12 200 2.754703 312 12 300 2.477455 412 12 400 2.312995 512 12 500 2.200193 612 12 600 2.116191 712 12 700 2.050230 812 12 800 1.996483 912 12 900 1.951476 1012 12 1000 1.912989 14 13 1 88.779950 15 13 2 46.480500 16 13 3 32.351150 17 13 4 25.266470 18 13 5 21.001120 19 13 6 18.146480 20 13 7 16.098720 21 13 8 14.555850 22 13 9 13.350030 23 13 10 12.380510 33 13 20 7.912293 43 13 30 6.332573 53 13 40 5.497578 63 13 50 4.970140 73 13 60 4.601405 83 13 70 4.326170 93 13 80 4.111111 103 13 90 3.937313 113 13 100 3.793186 213 13 200 3.051795 313 13 300 2.738223 413 13 400 2.552818 513 13 500 2.425925 613 13 600 2.331582 713 13 700 2.257594 813 13 800 2.197367 913 13 900 2.146978 1013 13 1000 2.103919 15 14 1 102.613100 16 14 2 53.563290 17 14 3 37.183360 18 14 4 28.972970 19 14 5 24.031800 20 14 6 20.726260 21 14 7 18.356120 22 14 8 16.571180 23 14 9 15.176830 24 14 10 14.056250 34 14 20 8.902432 44 14 30 7.088146 54 14 40 6.132371 64 14 50 5.530258 74 14 60 5.110244 84 14 70 4.797313 94 14 80 4.553188 104 14 90 4.356174 114 14 100 4.192992 214 14 200 3.356891 314 14 300 3.005215 414 14 400 2.797914 514 14 500 2.656328 614 14 600 2.551221 714 14 700 2.468889 814 14 800 2.401936 914 14 900 2.345963 1014 14 1000 2.298168 16 15 1 117.446300 17 15 2 61.146150 18 15 3 42.349040 19 15 4 32.929680 20 15 5 27.262780 21 15 6 23.473090 22 15 7 20.756840 23 15 8 18.712060 24 15 9 17.115380 25 15 10 15.832720 35 15 20 9.943992 45 15 30 7.878922 55 15 40 6.794330 65 15 50 6.112740 75 15 60 5.638252 85 15 70 5.285342 95 15 80 5.010436 105 15 90 4.788866 115 15 100 4.605556 215 15 200 3.669789 315 15 300 3.278246 415 15 400 3.048116 515 15 500 2.891244 615 15 600 2.774957 715 15 700 2.683972 815 15 800 2.610050 915 15 900 2.548299 1015 15 1000 2.495604 17 16 1 133.279600 18 16 2 69.229060 19 16 3 47.848170 20 16 4 37.136570 21 16 5 30.694000 22 16 6 26.386910 23 16 7 23.300820 24 16 8 20.978420 25 16 9 19.165590 26 16 10 17.709820 36 16 20 11.036810 46 16 30 8.704708 56 16 40 7.483247 66 16 50 6.717375 76 16 60 6.185216 86 16 70 5.790045 96 16 80 5.482643 106 16 90 5.235182 116 16 100 5.030670 216 16 200 3.990309 316 16 300 3.557157 416 16 400 3.303273 516 16 500 3.130532 616 16 600 3.002658 716 16 700 2.902716 816 16 800 2.821588 916 16 900 2.753867 1016 16 1000 2.696114 18 17 1 150.112800 19 17 2 77.812020 20 17 3 53.680720 21 17 4 41.593600 22 17 5 34.325430 23 17 6 29.467670 24 17 7 25.988000 25 17 8 23.370190 26 17 9 21.327390 27 17 10 19.687470 37 17 20 12.180740 47 17 30 9.565337 57 17 40 8.198943 67 17 50 7.343977 77 17 60 6.750949 87 17 70 6.311235 97 17 80 5.969625 107 17 90 5.694939 117 17 100 5.468155 217 17 200 4.318292 317 17 300 3.841802 417 17 400 3.563253 517 17 500 3.374068 617 17 600 3.234206 717 17 700 3.125007 817 17 800 3.036439 917 17 900 2.962561 1017 17 1000 2.899595 19 18 1 167.946000 20 18 2 86.895020 21 18 3 59.846680 22 18 4 46.300760 23 18 5 38.157040 24 18 6 32.715330 25 18 7 28.818330 26 18 8 25.887310 27 18 9 23.600720 28 18 10 21.765580 38 18 20 13.375660 48 18 30 10.460660 58 18 40 8.941261 68 18 50 7.992384 78 18 60 7.335288 88 18 70 6.848748 98 18 80 6.471219 108 18 90 6.167974 118 18 100 5.917849 218 18 200 4.653595 318 18 300 4.132054 418 18 400 3.827937 518 18 500 3.621739 618 18 600 3.469493 718 18 700 3.350743 818 18 800 3.254507 918 18 900 3.174286 1018 18 1000 3.105954 20 19 1 186.779300 21 19 2 96.478050 22 19 3 66.346040 23 19 4 51.258030 24 19 5 42.188810 25 19 6 36.129870 26 19 7 31.791770 27 19 8 28.529750 28 19 9 25.985520 29 19 10 23.944120 39 19 20 14.621480 49 19 30 11.390560 59 19 40 9.710063 69 19 50 8.662454 79 19 60 7.938086 89 19 70 7.402437 99 19 80 6.987277 109 19 90 6.654141 119 19 100 6.379608 219 19 200 4.996092 319 19 300 4.427796 419 19 400 4.097217 519 19 500 3.873444 619 19 600 3.708423 719 19 700 3.579832 819 19 800 3.475701 919 19 900 3.388957 1019 19 1000 3.315109 21 20 1 206.612500 22 20 2 106.561100 23 20 3 73.178800 24 20 4 56.465390 25 20 5 46.420710 26 20 6 39.711250 27 20 7 34.908300 28 20 8 31.297450 29 20 9 28.481760 30 20 10 26.223020 40 20 20 15.918100 50 20 30 12.354920 60 20 40 10.505230 70 20 50 9.354059 80 20 60 8.559215 90 20 70 7.972173 100 20 80 7.517669 110 20 90 7.153311 120 20 100 6.853304 220 20 200 5.345664 320 20 300 4.728922 420 20 400 4.370995 520 20 500 4.129091 620 20 600 3.950909 720 20 700 3.812190 820 20 800 3.699943 920 20 900 3.606496 1020 20 1000 3.526984 22 21 1 227.445800 23 21 2 117.144200 24 21 3 80.344940 25 21 4 61.922840 26 21 5 50.852730 27 21 6 43.459460 28 21 7 38.167890 29 21 8 34.190400 30 21 9 31.089390 31 21 10 28.602250 41 21 20 17.265450 51 21 30 13.353650 61 21 40 11.326650 71 21 50 10.067090 81 21 60 9.198557 91 21 70 8.557836 101 21 80 8.062278 111 21 90 7.665366 121 21 100 7.338819 221 21 200 5.702208 321 21 300 5.035337 421 21 400 4.649181 521 21 500 4.388597 621 21 600 4.196871 721 21 700 4.047741 821 21 800 3.927157 921 21 900 3.826831 1021 21 1000 3.741511 23 22 1 249.279100 24 22 2 128.227300 25 22 3 87.844450 26 22 4 67.630360 27 22 5 55.484850 28 22 6 47.374470 29 22 7 41.570500 30 22 8 37.208560 31 22 9 33.808380 32 22 10 31.081780 42 22 20 18.663460 52 22 30 14.386650 62 22 40 12.174240 72 22 50 10.801440 82 22 60 9.856008 92 22 70 9.159322 102 22 80 8.620996 112 22 90 8.190200 122 22 100 7.836047 222 22 200 6.065626 322 22 300 5.346951 422 22 400 4.931694 522 22 500 4.651883 622 22 600 4.446236 722 22 700 4.286415 822 22 800 4.157278 922 22 900 4.049897 1022 22 1000 3.958624 24 23 1 272.112400 25 23 2 139.810400 26 23 3 95.677340 27 23 4 73.587940 28 23 5 60.317070 29 23 6 51.456270 30 23 7 45.116140 31 23 8 40.351920 32 23 9 36.638720 33 23 10 33.661560 43 23 20 20.112070 53 23 30 15.453860 63 23 40 13.047890 73 23 50 11.557010 83 23 60 10.531470 93 23 70 9.776534 103 23 80 9.193728 113 23 90 8.727715 123 23 100 8.344892 223 23 200 6.435830 323 23 300 5.663685 423 23 400 5.218459 523 23 500 4.918879 623 23 600 4.698937 723 23 700 4.528148 823 23 800 4.390241 923 23 900 4.275635 1023 23 1000 4.178267 25 24 1 295.945600 26 24 2 151.893600 27 24 3 103.843600 28 24 4 79.795580 29 24 5 65.349370 30 24 6 55.704850 31 24 7 48.804760 32 24 8 43.620440 33 24 9 39.580360 34 24 10 36.341580 44 24 20 21.611230 54 24 30 16.555210 64 24 40 13.947550 74 24 50 12.333740 84 24 60 11.224870 94 24 70 10.409380 104 24 80 9.780384 114 24 90 9.277824 124 24 100 8.865266 224 24 200 6.812738 324 24 300 5.985463 424 24 400 5.509405 524 24 500 5.189520 624 24 600 4.954910 724 24 700 4.772878 824 24 800 4.625990 924 24 900 4.503988 1024 24 1000 4.400385 26 25 1 320.778900 27 25 2 164.476700 28 25 3 112.343200 29 25 4 86.253260 30 25 5 70.581740 31 25 6 60.120190 32 25 7 52.636380 33 25 8 47.014120 34 25 9 42.633300 35 25 10 39.121820 45 25 20 23.160890 55 25 30 17.690630 65 25 40 14.873140 75 25 50 13.131540 85 25 60 11.936120 95 25 70 11.057790 105 25 80 10.380880 115 25 90 9.840445 125 25 100 9.397086 225 25 200 7.196275 325 25 300 6.312216 425 25 400 5.804469 525 25 500 5.463743 625 25 600 5.214098 725 25 700 5.020551 825 25 800 4.864472 925 25 900 4.734904 1025 25 1000 4.624929 27 26 1 346.612200 28 26 2 177.559900 29 26 3 121.176200 30 26 4 92.961000 31 26 5 76.014180 32 26 6 64.702290 33 26 7 56.610960 34 26 8 50.532940 35 26 9 45.797520 36 26 10 42.002240 46 26 20 24.761010 56 26 30 18.860080 66 26 40 15.824590 76 26 50 13.950340 86 26 60 12.665150 96 26 70 11.721690 106 26 80 10.995160 116 26 90 10.415500 126 26 100 9.940280 226 26 200 7.586371 326 26 300 6.643879 426 26 400 6.103590 526 26 500 5.741494 626 26 600 5.476446 726 26 700 5.271116 826 26 800 5.105636 926 26 900 4.968336 1026 26 1000 4.851850 28 27 1 373.445500 29 27 2 191.143100 30 27 3 130.342500 31 27 4 99.918770 32 27 5 81.646670 33 27 6 69.451140 34 27 7 60.728500 35 27 8 54.176880 36 27 9 49.073000 37 27 10 44.982840 47 27 20 26.411560 57 27 30 20.063490 67 27 40 16.801850 77 27 50 14.790090 87 27 60 13.411890 97 27 70 12.401010 107 27 80 11.623130 117 27 90 11.002930 127 27 100 10.494780 227 27 200 7.982961 327 27 300 6.980393 427 27 400 6.406712 527 27 500 6.022719 627 27 600 5.741906 727 27 700 5.524523 827 27 800 5.349436 927 27 900 5.204239 1027 27 1000 5.081106 29 28 1 401.278800 30 28 2 205.226300 31 28 3 139.842200 32 28 4 107.126600 33 28 5 87.479230 34 28 6 74.366720 35 28 7 64.988990 36 28 8 57.945940 37 28 9 52.459720 38 28 10 48.063610 48 28 20 28.112500 58 28 30 21.300840 68 28 40 17.804860 78 28 50 15.650720 88 28 60 14.176290 98 28 70 13.095680 108 28 80 12.264740 118 28 90 11.602670 128 28 100 11.060520 228 28 200 8.385985 328 28 300 7.321702 428 28 400 6.713782 528 28 500 6.307368 628 28 600 6.010429 728 28 700 5.780728 828 28 800 5.595829 928 28 900 5.442570 1028 28 1000 5.312656 30 29 1 430.112100 31 29 2 219.809500 32 29 3 149.675300 33 29 4 114.584400 34 29 5 93.511830 35 29 6 79.449040 36 29 7 69.392420 37 29 8 61.840100 38 29 9 55.957690 39 29 10 51.244510 49 29 20 29.863810 59 29 30 22.572070 69 29 40 18.833590 79 29 50 16.532180 89 29 60 14.958290 99 29 70 13.805660 109 29 80 12.919940 119 29 90 12.214650 129 29 100 11.637430 229 29 200 8.795386 329 29 300 7.667753 429 29 400 7.024753 529 29 500 6.595395 629 29 600 6.281972 729 29 700 6.039689 829 29 800 5.844773 929 29 900 5.683291 1029 29 1000 5.546462 31 30 1 459.945400 32 30 2 234.892700 33 30 3 159.841700 34 30 4 122.292300 35 30 5 99.744470 36 30 6 84.698090 37 30 7 73.938790 38 30 8 65.859360 39 30 9 59.566870 40 30 10 54.525550 50 30 20 31.665450 60 30 30 23.877150 70 30 40 19.887980 80 30 50 17.434440 90 30 60 15.757840 100 30 70 14.530880 110 30 80 13.588660 120 30 90 12.838820 130 30 100 12.225480 230 30 200 9.211111 330 30 300 8.018497 430 30 400 7.339578 530 30 500 6.886757 630 30 600 6.556492 730 30 700 6.301365 830 30 800 6.096232 930 30 900 5.926364 1030 30 1000 5.782488 32 31 1 490.778700 33 31 2 250.475900 34 31 3 170.341400 35 31 4 130.250200 36 31 5 106.177200 37 31 6 90.113850 38 31 7 78.628090 39 31 8 70.003710 40 31 9 63.287280 41 31 10 57.906720 51 31 20 33.517400 61 31 30 25.216050 71 31 40 20.968000 81 31 50 18.357430 91 31 60 16.574900 101 31 70 15.271310 111 31 80 14.270860 121 31 90 13.475140 131 31 100 12.824600 231 31 200 9.633112 331 31 300 8.373888 431 31 400 7.658213 531 31 500 7.181412 631 31 600 6.833952 731 31 700 6.565720 831 31 800 6.350167 931 31 900 6.171754 1031 31 1000 6.020699 33 32 1 522.612000 34 32 2 266.559100 35 32 3 181.174500 36 32 4 138.458100 37 32 5 112.809900 38 32 6 95.696340 39 32 7 83.460300 40 32 8 74.273130 41 32 9 67.118890 42 32 10 61.388000 52 32 20 35.419650 62 32 30 26.588740 72 32 40 22.073610 82 32 50 19.301130 92 32 60 17.409420 102 32 70 16.026890 112 32 80 14.966490 122 32 90 14.123550 132 32 100 13.434750 232 32 200 10.061340 332 32 300 8.733882 432 32 400 7.980617 532 32 500 7.479323 632 32 600 7.114313 732 32 700 6.832717 832 32 800 6.606546 932 32 900 6.419428 1032 32 1000 6.261064 34 33 1 555.445300 35 33 2 283.142300 36 33 3 192.341000 37 33 4 146.916100 38 33 5 119.642600 39 33 6 101.445500 40 33 7 88.435440 41 33 8 78.667630 42 33 9 71.061700 43 33 10 64.969380 53 33 20 37.372160 63 33 30 27.995190 73 33 40 23.204780 83 33 50 20.265500 93 33 60 18.261350 103 33 70 16.797580 113 33 80 15.675520 123 33 90 14.784010 133 33 100 14.055880 233 33 200 10.495750 333 33 300 9.098439 433 33 400 8.306753 533 33 500 7.780452 633 33 600 7.397542 733 33 700 7.102324 833 33 800 6.865336 933 33 900 6.669355 1033 33 1000 6.503552 35 34 1 589.278600 36 34 2 300.225600 37 34 3 203.840700 38 34 4 155.624000 39 34 5 126.675400 40 34 6 107.361400 41 34 7 93.553480 42 34 8 83.187200 43 34 9 75.115710 44 34 10 68.650860 54 34 20 39.374930 64 34 30 29.435370 74 34 40 24.361470 84 34 50 21.250490 94 34 60 19.130670 104 34 70 17.583350 114 34 80 16.397890 124 34 90 15.456480 134 34 100 14.687950 234 34 200 10.936310 334 34 300 9.467520 434 34 400 8.636583 534 34 500 8.084764 634 34 600 7.683604 734 34 700 7.374509 834 34 800 7.126507 934 34 900 6.921505 1034 34 1000 6.748135 36 35 1 624.111900 37 35 2 317.808800 38 35 3 215.673900 39 35 4 164.582000 40 35 5 133.908200 41 35 6 113.444000 42 35 7 98.814440 43 35 8 87.831830 44 35 9 79.280900 45 35 10 72.432430 55 35 20 41.427940 65 35 30 30.909260 75 35 40 25.543660 85 35 50 22.256080 95 35 60 20.017340 105 35 70 18.384150 115 35 80 17.133570 125 35 90 16.140930 135 35 100 15.330930 235 35 200 11.382970 335 35 300 9.841088 435 35 400 8.970073 535 35 500 8.392228 635 35 600 7.972470 735 35 700 7.649241 835 35 800 7.390029 935 35 900 7.175850 1035 35 1000 6.994786 37 36 1 659.945300 38 36 2 335.892100 39 36 3 227.840400 40 36 4 173.790000 41 36 5 141.341100 42 36 6 119.693400 43 36 7 104.218300 44 36 8 92.601520 45 36 9 83.557270 46 36 10 76.314080 56 36 20 43.531170 66 36 30 32.416840 76 36 40 26.751320 86 36 50 23.282240 96 36 60 20.921330 106 36 70 19.199960 116 36 80 17.882520 126 36 90 16.837310 136 36 100 15.984770 236 36 200 11.835700 336 36 300 10.219110 436 36 400 9.307191 536 36 500 8.702812 636 36 600 8.264108 736 36 700 7.926492 836 36 800 7.655875 936 36 900 7.432365 1036 36 1000 7.243478 38 37 1 696.778600 39 37 2 354.475300 40 37 3 240.340200 41 37 4 183.248100 42 37 5 148.973900 43 37 6 126.109400 44 37 7 109.765100 45 37 8 97.496260 46 37 9 87.944820 47 37 10 80.295810 57 37 20 45.684610 67 37 30 33.958090 77 37 40 27.984430 87 37 50 24.328940 97 37 60 21.842590 107 37 70 20.030740 117 37 80 18.644720 127 37 90 17.545590 137 37 100 16.649440 237 37 200 12.294460 337 37 300 10.601550 437 37 400 9.647904 537 37 500 9.016485 637 37 600 8.558491 737 37 700 8.206235 837 37 800 7.924018 937 37 900 7.691022 1037 37 1000 7.494186 39 38 1 734.611900 40 38 2 373.558600 41 38 3 253.173300 42 38 4 192.956100 43 38 5 156.806800 44 38 6 132.692100 45 38 7 115.454700 46 38 8 102.516100 47 38 9 92.443550 48 38 10 84.377610 58 38 20 47.888240 68 38 30 35.532990 78 38 40 29.242960 88 38 50 25.396150 98 38 60 22.781120 108 38 70 20.876460 118 38 80 19.420130 128 38 90 18.265730 138 38 100 17.324910 238 38 200 12.759220 338 38 300 10.988370 438 38 400 9.992183 538 38 500 9.333221 638 38 600 8.855592 738 38 700 8.488444 838 38 800 8.194434 938 38 900 7.951798 1038 38 1000 7.746888 40 39 1 773.445200 41 39 2 393.141800 42 39 3 266.339800 43 39 4 202.914200 44 39 5 164.839700 45 39 6 139.441500 46 39 7 121.287300 47 39 8 107.660900 48 39 9 97.053440 49 39 10 88.559480 59 39 20 50.142060 69 39 30 37.141520 79 39 40 30.526890 89 39 50 26.483850 99 39 60 23.736880 109 39 70 21.737090 119 39 80 20.208720 129 39 90 18.997720 139 39 100 18.011140 239 39 200 13.229940 339 39 300 11.379560 439 39 400 10.340000 539 39 500 9.652992 639 39 600 9.155385 739 39 700 8.773094 839 39 800 8.467099 939 39 900 8.214670 1039 39 1000 8.001561 41 40 1 813.278500 42 40 2 413.225100 43 40 3 279.839700 44 40 4 213.122200 45 40 5 173.072700 46 40 6 146.357600 47 40 7 127.262700 48 40 8 112.930800 49 40 9 101.774500 50 40 10 92.841410 60 40 20 52.446050 70 40 30 38.783670 80 40 40 31.836200 90 40 50 27.592020 100 40 60 24.709840 110 40 70 22.612610 120 40 80 21.010460 130 40 90 19.741520 140 40 100 18.708120 240 40 200 13.706610 340 40 300 11.775070 440 40 400 10.691330 540 40 500 9.975772 640 40 600 9.457845 740 40 700 9.060161 840 40 800 8.741990 940 40 900 8.479615 1040 40 1000 8.258183 42 41 1 854.111800 43 41 2 433.808400 44 41 3 293.672900 45 41 4 223.580300 46 41 5 181.505600 47 41 6 153.440400 48 41 7 133.381000 49 41 8 118.325700 50 41 9 106.606700 51 41 10 97.223410 61 41 20 54.800200 71 41 30 40.459420 81 41 40 33.170880 91 41 50 28.720630 101 41 60 25.699990 111 41 70 23.502990 121 41 80 21.825330 131 41 90 20.497100 141 41 100 19.415800 241 41 200 14.189180 341 41 300 12.174890 441 41 400 11.046140 541 41 500 10.301540 641 41 600 9.762948 741 41 700 9.349624 841 41 800 9.019084 941 41 900 8.746613 1041 41 1000 8.516734 43 42 1 895.945100 44 42 2 454.891600 45 42 3 307.839400 46 42 4 234.288400 47 42 5 190.138600 48 42 6 160.689900 49 42 7 139.642300 50 42 8 123.845700 51 42 9 111.550100 52 42 10 101.705500 62 42 20 57.204510 72 42 30 42.168750 82 42 40 34.530900 92 42 50 29.869670 102 42 60 26.707290 112 42 70 24.408210 122 42 80 22.653300 132 42 90 21.264440 142 42 100 20.134170 242 42 200 14.677640 342 42 300 12.578980 442 42 400 11.404420 542 42 500 10.630260 642 42 600 10.070670 742 42 700 9.641460 842 42 800 9.298362 942 42 900 9.015644 1042 42 1000 8.777193 44 43 1 938.778500 45 43 2 476.474900 46 43 3 322.339300 47 43 4 245.246500 48 43 5 198.971600 49 43 6 168.106000 50 43 7 146.046400 51 43 8 129.490700 52 43 9 116.604600 53 43 10 106.287600 63 43 20 59.658960 73 43 30 43.911670 83 43 40 35.916250 93 43 50 31.039120 103 43 60 27.731740 113 43 70 25.328250 123 43 80 23.494360 133 43 90 22.043510 143 43 100 20.863200 243 43 200 15.171950 343 43 300 12.987320 443 43 400 11.766130 543 43 500 10.961930 643 43 600 10.381000 743 43 700 9.935648 843 43 800 9.579804 943 43 900 9.286687 1043 43 1000 9.039544 45 44 1 982.611800 46 44 2 498.558200 47 44 3 337.172500 48 44 4 256.454600 49 44 5 208.004500 50 44 6 175.688900 51 44 7 152.593400 52 44 8 135.260700 53 44 9 121.770300 54 44 10 110.969700 64 44 20 62.163560 74 44 30 45.688140 84 44 40 37.326920 94 44 50 32.228950 104 44 60 28.773310 114 44 70 26.263080 124 44 80 24.348470 134 44 90 22.834290 144 44 100 21.602870 244 44 200 15.672090 344 44 300 13.399890 444 44 400 12.131250 544 44 500 11.296510 644 44 600 10.693900 744 44 700 10.232170 844 44 800 9.863389 944 44 900 9.559724 1044 44 1000 9.303766 46 45 1 1027.445000 47 45 2 521.141400 48 45 3 352.339000 49 45 4 267.912700 50 45 5 217.237600 51 45 6 183.438500 52 45 7 159.283200 53 45 8 141.155800 54 45 9 127.047100 55 45 10 115.751900 65 45 20 64.718280 75 45 30 47.498170 85 45 40 38.762890 95 45 50 33.439160 105 45 60 29.831980 115 45 70 27.212690 125 45 80 25.215620 135 45 90 23.636770 145 45 100 22.353150 245 45 200 16.178050 345 45 300 13.816670 445 45 400 12.499770 545 45 500 11.633990 645 45 600 11.009370 745 45 700 10.531000 845 45 800 10.149100 945 45 900 9.834738 1045 45 1000 9.569843 47 46 1 1073.278000 48 46 2 544.224700 49 46 3 367.838900 50 46 4 279.620900 51 46 5 226.670600 52 46 6 191.354700 53 46 7 166.116000 54 46 8 147.175900 55 46 9 132.435100 56 46 10 120.634100 66 46 20 67.323130 76 46 30 49.341740 86 46 40 40.224140 96 46 50 34.669720 106 46 60 30.907730 116 46 70 28.177050 126 46 80 26.095790 136 46 90 24.450910 146 46 100 23.114030 246 46 200 16.689780 346 46 300 14.237630 446 46 400 12.871660 546 46 500 11.974340 646 46 600 11.327370 746 46 700 10.832130 846 46 800 10.436920 946 46 900 10.111710 1046 46 1000 9.837758 48 47 1 1120.112000 49 47 2 567.808000 50 47 3 383.672100 51 47 4 291.579000 52 47 5 236.303600 53 47 6 199.437600 54 47 7 173.091600 55 47 8 153.321000 56 47 9 137.934200 57 47 10 125.616400 67 47 20 69.978090 77 47 30 51.218850 87 47 40 41.710670 97 47 50 35.920620 107 47 60 32.000550 117 47 70 29.156150 127 47 80 26.988950 137 47 90 25.276700 147 47 100 23.885480 247 47 200 17.207290 347 47 300 14.662750 447 47 400 13.246900 547 47 500 12.317560 647 47 600 11.647900 747 47 700 11.135540 847 47 800 10.726830 947 47 900 10.390630 1047 47 1000 10.107500 49 48 1 1167.945000 50 48 2 591.891300 51 48 3 399.838700 52 48 4 303.787100 53 48 5 246.136700 54 48 6 207.687200 55 48 7 180.210100 56 48 8 159.591200 57 48 9 143.544500 58 48 10 130.698700 68 48 20 72.683170 78 48 30 53.129470 88 48 40 43.222460 98 48 50 37.191860 108 48 60 33.110420 118 48 70 30.149980 128 48 80 27.895100 138 48 90 26.114120 148 48 100 24.667480 248 48 200 17.730530 348 48 300 15.092010 448 48 400 13.625480 548 48 500 12.663610 648 48 600 11.970930 748 48 700 11.441210 848 48 800 11.018810 948 48 900 10.671470 1048 48 1000 10.379040 50 49 1 1216.778000 51 49 2 616.474600 52 49 3 416.338600 53 49 4 316.245300 54 49 5 256.169700 55 49 6 216.103500 56 49 7 187.471500 57 49 8 165.986300 58 49 9 149.265900 59 49 10 135.881100 69 49 20 75.438350 79 49 30 55.073610 89 49 40 44.759500 99 49 50 38.483400 109 49 60 34.237330 119 49 70 31.158510 129 49 80 28.814210 139 49 90 26.963160 149 49 100 25.460020 249 49 200 18.259500 349 49 300 15.525400 449 49 400 14.007370 549 49 500 13.012480 649 49 600 12.296440 749 49 700 11.749120 849 49 800 11.312850 949 49 900 10.954220 1049 49 1000 10.652370 51 50 1 1266.612000 52 50 2 641.557900 53 50 3 433.171800 54 50 4 328.953400 55 50 5 266.402800 56 50 6 224.686400 57 50 7 194.875800 58 50 8 172.506500 59 50 9 155.098500 60 50 10 141.163500 70 50 20 78.243630 80 50 30 57.051260 90 50 40 46.321780 100 50 50 39.795250 110 50 60 35.381270 120 50 70 32.181730 130 50 80 29.746270 140 50 90 27.823800 150 50 100 26.263070 250 50 200 18.794170 350 50 300 15.962890 450 50 400 14.392550 550 50 500 13.364160 650 50 600 12.624430 750 50 700 12.059260 850 50 800 11.608940 950 50 900 11.238870 1050 50 1000 10.927490 61 60 1 1819.944933 62 60 2 919.890821 63 60 3 619.837635 64 60 4 469.785344 65 60 5 379.733922 66 60 6 319.683340 67 60 7 276.776432 68 60 8 244.584602 69 60 9 219.536397 70 60 10 199.488938 80 60 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826.450180 85 80 5 666.397779 86 80 6 559.679368 87 80 7 483.437788 88 80 8 426.244454 89 80 9 381.750144 90 80 10 346.145321 100 80 20 185.682828 110 80 30 131.934543 120 80 40 104.892094 130 80 50 88.549118 140 80 60 77.567332 150 80 70 69.657101 160 80 80 63.672408 170 80 90 58.975748 180 80 100 55.184035 280 80 200 37.416236 380 80 300 30.926079 480 80 400 27.413216 580 80 500 25.153351 680 80 600 23.550140 780 80 700 22.338861 880 80 800 21.382658 980 80 900 20.603059 1080 80 1000 19.951543 91 90 1 4079.944771 92 90 2 2054.890187 93 90 3 1379.836232 94 90 4 1042.282894 95 90 5 839.730160 96 90 6 704.678016 97 90 7 608.197880 98 90 8 535.825454 99 90 9 479.525011 100 90 10 434.475112 110 90 20 231.503796 120 90 30 163.576661 130 90 40 129.436558 140 90 50 108.827923 150 90 60 94.996344 160 90 70 85.045406 170 90 80 77.525770 180 90 90 71.631459 190 90 100 66.878312 290 90 200 44.706303 390 90 300 36.676440 490 90 400 32.356093 590 90 500 29.589244 690 90 600 27.633334 790 90 700 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260 200 60 397.112496 270 200 70 349.083032 280 200 80 312.974535 290 200 90 284.817598 300 200 100 262.230234 400 200 200 159.181019 500 200 300 123.549214 600 200 400 105.052296 700 200 500 93.540591 800 200 600 85.592146 900 200 700 79.721725 1000 200 800 75.176692 1100 200 900 71.533109 1200 200 1000 68.533039 301 300 1 45099.944540 302 300 2 22599.889280 303 300 3 15099.834220 304 300 4 11349.779340 305 300 5 9099.724664 306 300 6 7599.670176 307 300 7 6528.187305 308 300 8 5724.561766 309 300 9 5099.507843 310 300 10 4599.454107 320 300 20 2348.926721 330 300 30 1598.416702 340 300 40 1222.923008 350 300 50 997.444689 360 300 60 846.980872 370 300 70 739.387900 380 300 80 658.593608 390 300 90 595.668743 400 300 100 545.255536 500 300 200 316.654480 600 300 300 238.771528 700 300 400 198.879833 800 300 500 174.344378 900 300 600 157.578444 1000 300 700 145.308831 1100 300 800 135.886603 1200 300 900 128.388220 1300 300 1000 122.254800 401 400 1 80133.277850 402 400 2 40133.222520 403 400 3 26799.834000 404 400 4 20133.112290 405 400 5 16133.057390 406 400 6 13466.335970 407 400 7 11561.519460 408 400 8 10132.893570 409 400 9 9021.728134 410 400 10 8132.785064 420 400 20 4132.250899 430 400 30 2798.396841 440 400 40 2131.222269 450 400 50 1730.726606 460 400 60 1463.575977 470 400 70 1272.627019 480 400 80 1129.307829 490 400 90 1017.744946 500 400 100 928.414141 600 400 200 524.460469 700 400 300 387.836661 800 400 400 318.362038 900 400 500 275.920175 1000 400 600 247.098427 1100 400 700 226.126112 1200 400 800 210.104592 1300 400 900 197.415176 1400 400 1000 187.081182 501 500 1 125166.611200 502 500 2 62666.555790 503 500 3 41833.167200 504 500 4 31416.445390 505 500 5 25166.390360 506 500 6 20999.668780 507 500 7 18023.423510 508 500 8 15791.225970 509 500 9 14055.060300 510 500 10 12666.116960 520 500 20 6415.578645 530 500 30 4331.717957 540 500 40 3289.534484 550 500 50 2664.027837 560 500 60 2246.864316 570 500 70 1948.757858 580 500 80 1725.065276 590 500 90 1550.984669 600 500 100 1411.634787 700 500 200 782.436337 800 500 300 570.512558 900 500 400 463.217782 1000 500 500 397.952547 1100 500 600 353.812662 1200 500 700 321.817332 1300 500 800 297.462706 1400 500 900 278.237955 1500 500 1000 262.630740 1001 1000 1 500333.277800 1002 1000 2 250333.222300 1003 1000 3 166999.833600 1004 1000 4 125333.111600 1005 1000 5 100333.056300 1006 1000 6 83666.334400 1007 1000 7 71761.517320 1008 1000 8 62832.890780 1009 1000 9 55888.391270 1010 1000 10 50332.780720 1020 1000 20 25332.233920 1030 1000 30 16998.359480 1040 1000 40 12831.157290 1050 1000 50 10330.627250 1060 1000 60 8663.435914 1070 1000 70 7472.440329 1080 1000 80 6579.068967 1090 1000 90 5884.115383 1100 1000 100 5328.055674 1200 1000 200 2823.269573 1300 1000 300 1985.562478 1400 1000 400 1564.872673 1500 1000 500 1311.151171 1600 1000 600 1141.025117 1700 1000 700 1018.747889 1800 1000 800 926.435564 1900 1000 900 854.145079 2000 1000 1000 795.905095