Table 12: F Quantiles (Percentiles)
The p-th quantiles (100p-th percentiles) of the F distribution are tabulated for p = 0.90, 0.95, 0.975, 0.99 0.999 with numerator degrees of freedom, m, and denominator degrees of freedom, n, in the range 1, 2, ...,50.
Example: The 0.95-th quantile (95-th percentile) of the F distribution with m = 5 and n = 10 is 3.32583.
| 0.95-th Quantiles (95-th Percentiles) | ||||||||||
| Part I: m = 1 to 10, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 161.448 | 199.500 | 215.707 | 224.583 | 230.162 | 233.986 | 236.768 | 238.883 | 240.543 | 241.882 |
| 2 | 18.5128 | 19.0000 | 19.1643 | 19.2468 | 19.2964 | 19.3295 | 19.3532 | 19.3710 | 19.3848 | 19.3959 |
| 3 | 10.1280 | 9.5521 | 9.2766 | 9.1172 | 9.0135 | 8.9407 | 8.8867 | 8.8452 | 8.8123 | 8.7855 |
| 4 | 7.70865 | 6.94427 | 6.59138 | 6.38823 | 6.25606 | 6.16313 | 6.09421 | 6.04104 | 5.99878 | 5.96437 |
| 5 | 6.60789 | 5.78614 | 5.40945 | 5.19217 | 5.05033 | 4.95029 | 4.87587 | 4.81832 | 4.77247 | 4.73506 |
| 6 | 5.98738 | 5.14325 | 4.75706 | 4.53368 | 4.38737 | 4.28387 | 4.20666 | 4.14680 | 4.09902 | 4.05996 |
| 7 | 5.59145 | 4.73741 | 4.34683 | 4.12031 | 3.97152 | 3.86597 | 3.78704 | 3.72573 | 3.67667 | 3.63652 |
| 8 | 5.31766 | 4.45897 | 4.06618 | 3.83785 | 3.68750 | 3.58058 | 3.50046 | 3.43810 | 3.38813 | 3.34716 |
| 9 | 5.11736 | 4.25649 | 3.86255 | 3.63309 | 3.48166 | 3.37375 | 3.29275 | 3.22958 | 3.17889 | 3.13728 |
| 10 | 4.96460 | 4.10282 | 3.70826 | 3.47805 | 3.32583 | 3.21717 | 3.13546 | 3.07166 | 3.02038 | 2.97824 |
| 11 | 4.84434 | 3.98230 | 3.58743 | 3.35669 | 3.20387 | 3.09461 | 3.01233 | 2.94799 | 2.89622 | 2.85362 |
| 12 | 4.74723 | 3.88529 | 3.49029 | 3.25917 | 3.10588 | 2.99612 | 2.91336 | 2.84857 | 2.79638 | 2.75339 |
| 13 | 4.66719 | 3.80557 | 3.41053 | 3.17912 | 3.02544 | 2.91527 | 2.83210 | 2.76691 | 2.71436 | 2.67102 |
| 14 | 4.60011 | 3.73889 | 3.34389 | 3.11225 | 2.95825 | 2.84773 | 2.76420 | 2.69867 | 2.64579 | 2.60216 |
| 15 | 4.54308 | 3.68232 | 3.28738 | 3.05557 | 2.90129 | 2.79046 | 2.70663 | 2.64080 | 2.58763 | 2.54372 |
| 16 | 4.49400 | 3.63372 | 3.23887 | 3.00692 | 2.85241 | 2.74131 | 2.65720 | 2.59110 | 2.53767 | 2.49351 |
| 17 | 4.45132 | 3.59153 | 3.19678 | 2.96471 | 2.81000 | 2.69866 | 2.61430 | 2.54796 | 2.49429 | 2.44992 |
| 18 | 4.41387 | 3.55456 | 3.15991 | 2.92774 | 2.77285 | 2.66130 | 2.57672 | 2.51016 | 2.45628 | 2.41170 |
| 19 | 4.38075 | 3.52189 | 3.12735 | 2.89511 | 2.74006 | 2.62832 | 2.54353 | 2.47677 | 2.42270 | 2.37793 |
| 20 | 4.35124 | 3.49283 | 3.09839 | 2.86608 | 2.71089 | 2.59898 | 2.51401 | 2.44706 | 2.39281 | 2.34788 |
| 21 | 4.32479 | 3.46680 | 3.07247 | 2.84010 | 2.68478 | 2.57271 | 2.48758 | 2.42046 | 2.36605 | 2.32095 |
| 22 | 4.30095 | 3.44336 | 3.04912 | 2.81671 | 2.66127 | 2.54906 | 2.46377 | 2.39650 | 2.34194 | 2.29670 |
| 23 | 4.27934 | 3.42213 | 3.02800 | 2.79554 | 2.64000 | 2.52766 | 2.44223 | 2.37481 | 2.32011 | 2.27473 |
| 24 | 4.25968 | 3.40283 | 3.00879 | 2.77629 | 2.62065 | 2.50819 | 2.42263 | 2.35508 | 2.30024 | 2.25474 |
| 25 | 4.24170 | 3.38519 | 2.99124 | 2.75871 | 2.60299 | 2.49041 | 2.40473 | 2.33706 | 2.28210 | 2.23647 |
| 26 | 4.22520 | 3.36902 | 2.97515 | 2.74259 | 2.58679 | 2.47411 | 2.38831 | 2.32053 | 2.26545 | 2.21972 |
| 27 | 4.21001 | 3.35413 | 2.96035 | 2.72777 | 2.57189 | 2.45911 | 2.37321 | 2.30531 | 2.25013 | 2.20429 |
| 28 | 4.19597 | 3.34039 | 2.94669 | 2.71408 | 2.55813 | 2.44526 | 2.35926 | 2.29126 | 2.23598 | 2.19004 |
| 29 | 4.18296 | 3.32765 | 2.93403 | 2.70140 | 2.54539 | 2.43243 | 2.34634 | 2.27825 | 2.22287 | 2.17684 |
| 30 | 4.17088 | 3.31583 | 2.92228 | 2.68963 | 2.53355 | 2.42052 | 2.33434 | 2.26616 | 2.21070 | 2.16458 |
| 31 | 4.15962 | 3.30482 | 2.91133 | 2.67867 | 2.52254 | 2.40943 | 2.32317 | 2.25491 | 2.19936 | 2.15316 |
| 32 | 4.14910 | 3.29454 | 2.90112 | 2.66844 | 2.51225 | 2.39908 | 2.31274 | 2.24440 | 2.18877 | 2.14249 |
| 33 | 4.13925 | 3.28492 | 2.89156 | 2.65887 | 2.50264 | 2.38939 | 2.30298 | 2.23456 | 2.17886 | 2.13250 |
| 34 | 4.13002 | 3.27590 | 2.88260 | 2.64989 | 2.49362 | 2.38031 | 2.29383 | 2.22534 | 2.16956 | 2.12314 |
| 35 | 4.12134 | 3.26742 | 2.87419 | 2.64147 | 2.48514 | 2.37178 | 2.28524 | 2.21668 | 2.16083 | 2.11434 |
| 36 | 4.11317 | 3.25945 | 2.86627 | 2.63353 | 2.47717 | 2.36375 | 2.27714 | 2.20852 | 2.15261 | 2.10605 |
| 37 | 4.10546 | 3.25192 | 2.85880 | 2.62605 | 2.46965 | 2.35618 | 2.26951 | 2.20083 | 2.14485 | 2.09824 |
| 38 | 4.09817 | 3.24482 | 2.85174 | 2.61899 | 2.46255 | 2.34903 | 2.26230 | 2.19356 | 2.13753 | 2.09086 |
| 39 | 4.09128 | 3.23810 | 2.84507 | 2.61231 | 2.45583 | 2.34226 | 2.25549 | 2.18668 | 2.13060 | 2.08387 |
| 40 | 4.08475 | 3.23173 | 2.83875 | 2.60597 | 2.44947 | 2.33585 | 2.24902 | 2.18017 | 2.12403 | 2.07725 |
| 41 | 4.07855 | 3.22568 | 2.83275 | 2.59997 | 2.44343 | 2.32977 | 2.24289 | 2.17399 | 2.11780 | 2.07096 |
| 42 | 4.07265 | 3.21994 | 2.82705 | 2.59426 | 2.43769 | 2.32399 | 2.23707 | 2.16812 | 2.11187 | 2.06499 |
| 43 | 4.06705 | 3.21448 | 2.82163 | 2.58884 | 2.43224 | 2.31850 | 2.23153 | 2.16253 | 2.10624 | 2.05931 |
| 44 | 4.06171 | 3.20928 | 2.81647 | 2.58367 | 2.42704 | 2.31326 | 2.22625 | 2.15721 | 2.10087 | 2.05390 |
| 45 | 4.05661 | 3.20432 | 2.81154 | 2.57874 | 2.42209 | 2.30827 | 2.22122 | 2.15213 | 2.09576 | 2.04874 |
| 46 | 4.05175 | 3.19958 | 2.80684 | 2.57404 | 2.41736 | 2.30351 | 2.21642 | 2.14729 | 2.09087 | 2.04381 |
| 47 | 4.04710 | 3.19506 | 2.80236 | 2.56954 | 2.41284 | 2.29896 | 2.21183 | 2.14266 | 2.08620 | 2.03910 |
| 48 | 4.04265 | 3.19073 | 2.79806 | 2.56524 | 2.40851 | 2.29460 | 2.20744 | 2.13823 | 2.08173 | 2.03459 |
| 49 | 4.03839 | 3.18658 | 2.79395 | 2.56112 | 2.40438 | 2.29043 | 2.20323 | 2.13399 | 2.07745 | 2.03028 |
| 50 | 4.03431 | 3.18261 | 2.79001 | 2.55718 | 2.40041 | 2.28644 | 2.19920 | 2.12992 | 2.07335 | 2.02614 |
| Part II: m = 11 to 20, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 1 | 242.983 | 243.906 | 244.690 | 245.364 | 245.950 | 246.464 | 246.918 | 247.323 | 247.686 | 248.013 |
| 2 | 19.4050 | 19.4125 | 19.4189 | 19.4244 | 19.4291 | 19.4333 | 19.4370 | 19.4402 | 19.4431 | 19.4458 |
| 3 | 8.76333 | 8.74464 | 8.72868 | 8.71490 | 8.70287 | 8.69229 | 8.68290 | 8.67452 | 8.66699 | 8.66019 |
| 4 | 5.93581 | 5.91173 | 5.89114 | 5.87335 | 5.85781 | 5.84412 | 5.83197 | 5.82112 | 5.81136 | 5.80254 |
| 5 | 4.70397 | 4.67770 | 4.65523 | 4.63577 | 4.61876 | 4.60376 | 4.59044 | 4.57853 | 4.56782 | 4.55813 |
| 6 | 4.02744 | 3.99994 | 3.97636 | 3.95593 | 3.93806 | 3.92228 | 3.90826 | 3.89571 | 3.88441 | 3.87419 |
| 7 | 3.60304 | 3.57468 | 3.55034 | 3.52923 | 3.51074 | 3.49441 | 3.47988 | 3.46686 | 3.45514 | 3.44452 |
| 8 | 3.31295 | 3.28394 | 3.25902 | 3.23738 | 3.21841 | 3.20163 | 3.18670 | 3.17332 | 3.16125 | 3.15032 |
| 9 | 3.10249 | 3.07295 | 3.04755 | 3.02547 | 3.00610 | 2.98897 | 2.97370 | 2.96000 | 2.94765 | 2.93646 |
| 10 | 2.94296 | 2.91298 | 2.88717 | 2.86473 | 2.84502 | 2.82757 | 2.81201 | 2.79805 | 2.78545 | 2.77402 |
| 11 | 2.81793 | 2.78757 | 2.76142 | 2.73865 | 2.71864 | 2.70091 | 2.68510 | 2.67090 | 2.65808 | 2.64645 |
| 12 | 2.71733 | 2.68664 | 2.66018 | 2.63712 | 2.61685 | 2.59888 | 2.58284 | 2.56843 | 2.55541 | 2.54359 |
| 13 | 2.63465 | 2.60366 | 2.57693 | 2.55362 | 2.53311 | 2.51492 | 2.49867 | 2.48407 | 2.47087 | 2.45888 |
| 14 | 2.56550 | 2.53424 | 2.50726 | 2.48373 | 2.46300 | 2.44461 | 2.42818 | 2.41340 | 2.40004 | 2.38790 |
| 15 | 2.50681 | 2.47531 | 2.44811 | 2.42436 | 2.40345 | 2.38488 | 2.36827 | 2.35333 | 2.33982 | 2.32754 |
| 16 | 2.45637 | 2.42466 | 2.39725 | 2.37332 | 2.35222 | 2.33348 | 2.31672 | 2.30164 | 2.28798 | 2.27557 |
| 17 | 2.41256 | 2.38065 | 2.35306 | 2.32895 | 2.30769 | 2.28880 | 2.27189 | 2.25667 | 2.24289 | 2.23035 |
| 18 | 2.37416 | 2.34207 | 2.31430 | 2.29003 | 2.26862 | 2.24959 | 2.23255 | 2.21720 | 2.20330 | 2.19065 |
| 19 | 2.34021 | 2.30795 | 2.28003 | 2.25561 | 2.23406 | 2.21490 | 2.19773 | 2.18226 | 2.16825 | 2.15550 |
| 20 | 2.30999 | 2.27758 | 2.24951 | 2.22496 | 2.20327 | 2.18398 | 2.16670 | 2.15112 | 2.13701 | 2.12416 |
| 21 | 2.28292 | 2.25036 | 2.22216 | 2.19747 | 2.17567 | 2.15626 | 2.13887 | 2.12319 | 2.10898 | 2.09603 |
| 22 | 2.25852 | 2.22583 | 2.19750 | 2.17269 | 2.15078 | 2.13126 | 2.11377 | 2.09799 | 2.08369 | 2.07066 |
| 23 | 2.23642 | 2.20361 | 2.17516 | 2.15024 | 2.12822 | 2.10860 | 2.09101 | 2.07515 | 2.06075 | 2.04764 |
| 24 | 2.21631 | 2.18338 | 2.15482 | 2.12980 | 2.10767 | 2.08796 | 2.07028 | 2.05433 | 2.03986 | 2.02666 |
| 25 | 2.19793 | 2.16489 | 2.13623 | 2.11111 | 2.08889 | 2.06909 | 2.05132 | 2.03529 | 2.02074 | 2.00747 |
| 26 | 2.18107 | 2.14793 | 2.11917 | 2.09395 | 2.07164 | 2.05176 | 2.03391 | 2.01780 | 2.00318 | 1.98984 |
| 27 | 2.16554 | 2.13230 | 2.10345 | 2.07815 | 2.05575 | 2.03579 | 2.01787 | 2.00169 | 1.98699 | 1.97359 |
| 28 | 2.15120 | 2.11787 | 2.08893 | 2.06354 | 2.04107 | 2.02103 | 2.00304 | 1.98678 | 1.97203 | 1.95856 |
| 29 | 2.13791 | 2.10449 | 2.07547 | 2.05000 | 2.02746 | 2.00735 | 1.98928 | 1.97297 | 1.95815 | 1.94462 |
| 30 | 2.12556 | 2.09206 | 2.06296 | 2.03742 | 2.01480 | 1.99462 | 1.97650 | 1.96012 | 1.94524 | 1.93165 |
| 31 | 2.11405 | 2.08048 | 2.05131 | 2.02569 | 2.00301 | 1.98276 | 1.96457 | 1.94813 | 1.93320 | 1.91956 |
| 32 | 2.10331 | 2.06966 | 2.04042 | 2.01474 | 1.99199 | 1.97168 | 1.95343 | 1.93694 | 1.92195 | 1.90826 |
| 33 | 2.09325 | 2.05954 | 2.03023 | 2.00448 | 1.98167 | 1.96130 | 1.94300 | 1.92645 | 1.91141 | 1.89767 |
| 34 | 2.08382 | 2.05004 | 2.02066 | 1.99486 | 1.97199 | 1.95157 | 1.93321 | 1.91660 | 1.90151 | 1.88773 |
| 35 | 2.07496 | 2.04111 | 2.01167 | 1.98581 | 1.96288 | 1.94241 | 1.92400 | 1.90735 | 1.89221 | 1.87838 |
| 36 | 2.06661 | 2.03270 | 2.00321 | 1.97729 | 1.95431 | 1.93378 | 1.91532 | 1.89862 | 1.88344 | 1.86956 |
| 37 | 2.05873 | 2.02477 | 1.99522 | 1.96925 | 1.94622 | 1.92564 | 1.90713 | 1.89039 | 1.87516 | 1.86124 |
| 38 | 2.05129 | 2.01728 | 1.98767 | 1.96165 | 1.93857 | 1.91794 | 1.89939 | 1.88260 | 1.86733 | 1.85338 |
| 39 | 2.04425 | 2.01018 | 1.98053 | 1.95445 | 1.93133 | 1.91066 | 1.89206 | 1.87523 | 1.85992 | 1.84593 |
| 40 | 2.03758 | 2.00346 | 1.97376 | 1.94764 | 1.92446 | 1.90375 | 1.88511 | 1.86824 | 1.85289 | 1.83886 |
| 41 | 2.03125 | 1.99708 | 1.96733 | 1.94116 | 1.91795 | 1.89719 | 1.87851 | 1.86160 | 1.84622 | 1.83215 |
| 42 | 2.02523 | 1.99101 | 1.96122 | 1.93501 | 1.91175 | 1.89096 | 1.87224 | 1.85529 | 1.83987 | 1.82577 |
| 43 | 2.01950 | 1.98524 | 1.95540 | 1.92915 | 1.90585 | 1.88502 | 1.86627 | 1.84928 | 1.83383 | 1.81969 |
| 44 | 2.01405 | 1.97974 | 1.94986 | 1.92357 | 1.90024 | 1.87936 | 1.86057 | 1.84356 | 1.82807 | 1.81390 |
| 45 | 2.00884 | 1.97450 | 1.94458 | 1.91825 | 1.89487 | 1.87397 | 1.85514 | 1.83809 | 1.82257 | 1.80837 |
| 46 | 2.00387 | 1.96949 | 1.93953 | 1.91316 | 1.88975 | 1.86881 | 1.84995 | 1.83287 | 1.81732 | 1.80309 |
| 47 | 1.99912 | 1.96470 | 1.93471 | 1.90830 | 1.88486 | 1.86388 | 1.84499 | 1.82788 | 1.81230 | 1.79804 |
| 48 | 1.99458 | 1.96012 | 1.93009 | 1.90365 | 1.88017 | 1.85917 | 1.84025 | 1.82310 | 1.80749 | 1.79320 |
| 49 | 1.99023 | 1.95573 | 1.92567 | 1.89920 | 1.87569 | 1.85465 | 1.83570 | 1.81852 | 1.80288 | 1.78857 |
| 50 | 1.98606 | 1.95153 | 1.92143 | 1.89493 | 1.87138 | 1.85031 | 1.83133 | 1.81413 | 1.79846 | 1.78412 |
| Part III: m = 21 to 30, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| 1 | 248.309 | 248.579 | 248.826 | 249.052 | 249.260 | 249.453 | 249.631 | 249.797 | 249.951 | 250.095 |
| 2 | 19.4482 | 19.4503 | 19.4523 | 19.4541 | 19.4558 | 19.4573 | 19.4587 | 19.4600 | 19.4613 | 19.4624 |
| 3 | 8.65402 | 8.64839 | 8.64324 | 8.63850 | 8.63414 | 8.63010 | 8.62635 | 8.62286 | 8.61961 | 8.61658 |
| 4 | 5.79453 | 5.78723 | 5.78054 | 5.77439 | 5.76872 | 5.76347 | 5.75859 | 5.75406 | 5.74983 | 5.74588 |
| 5 | 4.54933 | 4.54129 | 4.53393 | 4.52715 | 4.52090 | 4.51512 | 4.50974 | 4.50474 | 4.50008 | 4.49571 |
| 6 | 3.86489 | 3.85640 | 3.84862 | 3.84146 | 3.83484 | 3.82872 | 3.82303 | 3.81774 | 3.81279 | 3.80816 |
| 7 | 3.43487 | 3.42604 | 3.41795 | 3.41049 | 3.40361 | 3.39723 | 3.39131 | 3.38579 | 3.38063 | 3.37581 |
| 8 | 3.14037 | 3.13128 | 3.12293 | 3.11524 | 3.10813 | 3.10155 | 3.09543 | 3.08972 | 3.08440 | 3.07941 |
| 9 | 2.92626 | 2.91693 | 2.90837 | 2.90047 | 2.89318 | 2.88641 | 2.88012 | 2.87426 | 2.86878 | 2.86365 |
| 10 | 2.76360 | 2.75407 | 2.74532 | 2.73725 | 2.72978 | 2.72286 | 2.71642 | 2.71042 | 2.70481 | 2.69955 |
| 11 | 2.63584 | 2.62613 | 2.61720 | 2.60897 | 2.60136 | 2.59430 | 2.58772 | 2.58159 | 2.57586 | 2.57049 |
| 12 | 2.53281 | 2.52293 | 2.51386 | 2.50548 | 2.49773 | 2.49054 | 2.48384 | 2.47760 | 2.47176 | 2.46628 |
| 13 | 2.44794 | 2.43792 | 2.42870 | 2.42020 | 2.41232 | 2.40501 | 2.39820 | 2.39185 | 2.38591 | 2.38033 |
| 14 | 2.37681 | 2.36665 | 2.35731 | 2.34868 | 2.34069 | 2.33327 | 2.32636 | 2.31991 | 2.31387 | 2.30821 |
| 15 | 2.31632 | 2.30603 | 2.29657 | 2.28783 | 2.27973 | 2.27221 | 2.26520 | 2.25866 | 2.25253 | 2.24679 |
| 16 | 2.26423 | 2.25383 | 2.24425 | 2.23541 | 2.22721 | 2.21959 | 2.21250 | 2.20587 | 2.19966 | 2.19384 |
| 17 | 2.21890 | 2.20839 | 2.19871 | 2.18977 | 2.18148 | 2.17377 | 2.16659 | 2.15988 | 2.15360 | 2.14771 |
| 18 | 2.17909 | 2.16847 | 2.15870 | 2.14966 | 2.14129 | 2.13350 | 2.12624 | 2.11946 | 2.11311 | 2.10714 |
| 19 | 2.14383 | 2.13313 | 2.12326 | 2.11414 | 2.10569 | 2.09782 | 2.09049 | 2.08363 | 2.07721 | 2.07119 |
| 20 | 2.11240 | 2.10160 | 2.09165 | 2.08245 | 2.07392 | 2.06598 | 2.05858 | 2.05166 | 2.04517 | 2.03909 |
| 21 | 2.08419 | 2.07331 | 2.06328 | 2.05400 | 2.04540 | 2.03739 | 2.02992 | 2.02294 | 2.01639 | 2.01025 |
| 22 | 2.05873 | 2.04777 | 2.03767 | 2.02832 | 2.01964 | 2.01157 | 2.00404 | 1.99700 | 1.99040 | 1.98420 |
| 23 | 2.03563 | 2.02460 | 2.01442 | 2.00501 | 1.99627 | 1.98814 | 1.98055 | 1.97345 | 1.96679 | 1.96054 |
| 24 | 2.01458 | 2.00348 | 1.99324 | 1.98376 | 1.97496 | 1.96677 | 1.95912 | 1.95197 | 1.94526 | 1.93896 |
| 25 | 1.99532 | 1.98415 | 1.97385 | 1.96431 | 1.95545 | 1.94720 | 1.93950 | 1.93229 | 1.92554 | 1.91919 |
| 26 | 1.97763 | 1.96639 | 1.95603 | 1.94643 | 1.93751 | 1.92921 | 1.92146 | 1.91421 | 1.90740 | 1.90101 |
| 27 | 1.96131 | 1.95002 | 1.93959 | 1.92994 | 1.92097 | 1.91262 | 1.90482 | 1.89752 | 1.89067 | 1.88424 |
| 28 | 1.94622 | 1.93487 | 1.92439 | 1.91469 | 1.90567 | 1.89727 | 1.88942 | 1.88208 | 1.87519 | 1.86871 |
| 29 | 1.93222 | 1.92082 | 1.91029 | 1.90053 | 1.89147 | 1.88302 | 1.87513 | 1.86774 | 1.86081 | 1.85429 |
| 30 | 1.91920 | 1.90775 | 1.89716 | 1.88736 | 1.87825 | 1.86976 | 1.86183 | 1.85440 | 1.84743 | 1.84087 |
| 31 | 1.90706 | 1.89555 | 1.88492 | 1.87507 | 1.86592 | 1.85739 | 1.84941 | 1.84195 | 1.83494 | 1.82834 |
| 32 | 1.89571 | 1.88415 | 1.87348 | 1.86358 | 1.85439 | 1.84581 | 1.83780 | 1.83030 | 1.82325 | 1.81662 |
| 33 | 1.88507 | 1.87347 | 1.86275 | 1.85281 | 1.84358 | 1.83496 | 1.82692 | 1.81938 | 1.81230 | 1.80564 |
| 34 | 1.87508 | 1.86344 | 1.85268 | 1.84270 | 1.83342 | 1.82478 | 1.81669 | 1.80912 | 1.80200 | 1.79531 |
| 35 | 1.86569 | 1.85400 | 1.84320 | 1.83318 | 1.82387 | 1.81519 | 1.80707 | 1.79946 | 1.79231 | 1.78559 |
| 36 | 1.85683 | 1.84510 | 1.83427 | 1.82421 | 1.81486 | 1.80615 | 1.79799 | 1.79035 | 1.78318 | 1.77642 |
| 37 | 1.84847 | 1.83671 | 1.82583 | 1.81574 | 1.80636 | 1.79761 | 1.78942 | 1.78175 | 1.77455 | 1.76776 |
| 38 | 1.84057 | 1.82876 | 1.81785 | 1.80773 | 1.79831 | 1.78953 | 1.78131 | 1.77361 | 1.76638 | 1.75957 |
| 39 | 1.83308 | 1.82124 | 1.81029 | 1.80014 | 1.79069 | 1.78187 | 1.77363 | 1.76590 | 1.75864 | 1.75180 |
| 40 | 1.82598 | 1.81410 | 1.80312 | 1.79294 | 1.78346 | 1.77461 | 1.76634 | 1.75858 | 1.75129 | 1.74443 |
| 41 | 1.81923 | 1.80733 | 1.79631 | 1.78610 | 1.77659 | 1.76771 | 1.75941 | 1.75163 | 1.74431 | 1.73743 |
| 42 | 1.81282 | 1.80088 | 1.78984 | 1.77959 | 1.77005 | 1.76115 | 1.75282 | 1.74501 | 1.73767 | 1.73076 |
| 43 | 1.80671 | 1.79474 | 1.78367 | 1.77339 | 1.76383 | 1.75490 | 1.74654 | 1.73871 | 1.73135 | 1.72441 |
| 44 | 1.80089 | 1.78889 | 1.77779 | 1.76748 | 1.75789 | 1.74893 | 1.74056 | 1.73270 | 1.72531 | 1.71835 |
| 45 | 1.79533 | 1.78330 | 1.77217 | 1.76184 | 1.75222 | 1.74324 | 1.73484 | 1.72696 | 1.71955 | 1.71257 |
| 46 | 1.79002 | 1.77796 | 1.76681 | 1.75645 | 1.74680 | 1.73780 | 1.72938 | 1.72147 | 1.71404 | 1.70704 |
| 47 | 1.78494 | 1.77286 | 1.76167 | 1.75129 | 1.74162 | 1.73260 | 1.72415 | 1.71622 | 1.70877 | 1.70175 |
| 48 | 1.78008 | 1.76797 | 1.75676 | 1.74635 | 1.73666 | 1.72761 | 1.71914 | 1.71119 | 1.70372 | 1.69668 |
| 49 | 1.77542 | 1.76328 | 1.75205 | 1.74162 | 1.73191 | 1.72283 | 1.71434 | 1.70637 | 1.69888 | 1.69182 |
| 50 | 1.77095 | 1.75879 | 1.74753 | 1.73708 | 1.72734 | 1.71825 | 1.70974 | 1.70175 | 1.69424 | 1.68716 |
| Part IV: m = 31 to 40, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| 1 | 250.230 | 250.357 | 250.476 | 250.588 | 250.693 | 250.793 | 250.888 | 250.977 | 251.062 | 251.143 |
| 2 | 19.4635 | 19.4645 | 19.4654 | 19.4663 | 19.4672 | 19.4680 | 19.4687 | 19.4694 | 19.4701 | 19.4707 |
| 3 | 8.61373 | 8.61106 | 8.60854 | 8.60618 | 8.60394 | 8.60183 | 8.59982 | 8.59793 | 8.59612 | 8.59441 |
| 4 | 5.74217 | 5.73869 | 5.73542 | 5.73233 | 5.72942 | 5.72667 | 5.72406 | 5.72158 | 5.71923 | 5.71700 |
| 5 | 4.49162 | 4.48778 | 4.48416 | 4.48075 | 4.47753 | 4.47449 | 4.47160 | 4.46887 | 4.46627 | 4.46379 |
| 6 | 3.80383 | 3.79975 | 3.79591 | 3.79230 | 3.78888 | 3.78565 | 3.78258 | 3.77968 | 3.77691 | 3.77429 |
| 7 | 3.37128 | 3.36703 | 3.36302 | 3.35925 | 3.35568 | 3.35230 | 3.34910 | 3.34606 | 3.34318 | 3.34043 |
| 8 | 3.07473 | 3.07033 | 3.06618 | 3.06227 | 3.05858 | 3.05508 | 3.05176 | 3.04862 | 3.04562 | 3.04278 |
| 9 | 2.85884 | 2.85431 | 2.85004 | 2.84602 | 2.84221 | 2.83861 | 2.83519 | 2.83195 | 2.82887 | 2.82593 |
| 10 | 2.69462 | 2.68997 | 2.68560 | 2.68147 | 2.67757 | 2.67387 | 2.67036 | 2.66703 | 2.66387 | 2.66086 |
| 11 | 2.56545 | 2.56070 | 2.55623 | 2.55200 | 2.54801 | 2.54423 | 2.54064 | 2.53723 | 2.53399 | 2.53091 |
| 12 | 2.46114 | 2.45630 | 2.45173 | 2.44742 | 2.44335 | 2.43949 | 2.43582 | 2.43234 | 2.42903 | 2.42588 |
| 13 | 2.37510 | 2.37017 | 2.36553 | 2.36114 | 2.35698 | 2.35305 | 2.34932 | 2.34577 | 2.34239 | 2.33918 |
| 14 | 2.30289 | 2.29788 | 2.29315 | 2.28869 | 2.28447 | 2.28047 | 2.27667 | 2.27306 | 2.26962 | 2.26635 |
| 15 | 2.24139 | 2.23631 | 2.23151 | 2.22698 | 2.22269 | 2.21862 | 2.21476 | 2.21109 | 2.20760 | 2.20428 |
| 16 | 2.18837 | 2.18321 | 2.17835 | 2.17375 | 2.16940 | 2.16527 | 2.16136 | 2.15763 | 2.15409 | 2.15071 |
| 17 | 2.14217 | 2.13694 | 2.13202 | 2.12736 | 2.12295 | 2.11876 | 2.11479 | 2.11102 | 2.10742 | 2.10400 |
| 18 | 2.10153 | 2.09625 | 2.09126 | 2.08655 | 2.08208 | 2.07785 | 2.07382 | 2.07000 | 2.06636 | 2.06289 |
| 19 | 2.06552 | 2.06017 | 2.05513 | 2.05036 | 2.04584 | 2.04155 | 2.03748 | 2.03361 | 2.02992 | 2.02641 |
| 20 | 2.03336 | 2.02796 | 2.02286 | 2.01804 | 2.01347 | 2.00914 | 2.00502 | 2.00110 | 1.99737 | 1.99382 |
| 21 | 2.00446 | 1.99901 | 1.99386 | 1.98899 | 1.98438 | 1.98000 | 1.97584 | 1.97188 | 1.96811 | 1.96452 |
| 22 | 1.97836 | 1.97286 | 1.96766 | 1.96274 | 1.95808 | 1.95366 | 1.94946 | 1.94546 | 1.94165 | 1.93802 |
| 23 | 1.95465 | 1.94910 | 1.94386 | 1.93889 | 1.93419 | 1.92973 | 1.92549 | 1.92145 | 1.91761 | 1.91394 |
| 24 | 1.93302 | 1.92743 | 1.92214 | 1.91713 | 1.91239 | 1.90789 | 1.90361 | 1.89954 | 1.89566 | 1.89195 |
| 25 | 1.91321 | 1.90757 | 1.90224 | 1.89719 | 1.89241 | 1.88787 | 1.88356 | 1.87945 | 1.87554 | 1.87180 |
| 26 | 1.89499 | 1.88931 | 1.88394 | 1.87885 | 1.87403 | 1.86946 | 1.86511 | 1.86097 | 1.85702 | 1.85325 |
| 27 | 1.87817 | 1.87245 | 1.86704 | 1.86192 | 1.85707 | 1.85246 | 1.84807 | 1.84390 | 1.83992 | 1.83613 |
| 28 | 1.86261 | 1.85685 | 1.85140 | 1.84625 | 1.84136 | 1.83671 | 1.83230 | 1.82810 | 1.82409 | 1.82026 |
| 29 | 1.84815 | 1.84236 | 1.83688 | 1.83169 | 1.82676 | 1.82209 | 1.81764 | 1.81341 | 1.80938 | 1.80552 |
| 30 | 1.83469 | 1.82886 | 1.82335 | 1.81813 | 1.81317 | 1.80847 | 1.80399 | 1.79973 | 1.79567 | 1.79179 |
| 31 | 1.82213 | 1.81627 | 1.81072 | 1.80547 | 1.80048 | 1.79575 | 1.79125 | 1.78696 | 1.78287 | 1.77896 |
| 32 | 1.81038 | 1.80448 | 1.79890 | 1.79362 | 1.78861 | 1.78385 | 1.77932 | 1.77500 | 1.77088 | 1.76696 |
| 33 | 1.79936 | 1.79343 | 1.78782 | 1.78251 | 1.77747 | 1.77268 | 1.76812 | 1.76378 | 1.75964 | 1.75569 |
| 34 | 1.78900 | 1.78304 | 1.77741 | 1.77207 | 1.76700 | 1.76218 | 1.75760 | 1.75324 | 1.74907 | 1.74510 |
| 35 | 1.77925 | 1.77326 | 1.76760 | 1.76223 | 1.75714 | 1.75230 | 1.74769 | 1.74330 | 1.73912 | 1.73512 |
| 36 | 1.77006 | 1.76404 | 1.75835 | 1.75296 | 1.74784 | 1.74297 | 1.73834 | 1.73393 | 1.72972 | 1.72570 |
| 37 | 1.76137 | 1.75533 | 1.74961 | 1.74419 | 1.73905 | 1.73416 | 1.72951 | 1.72507 | 1.72084 | 1.71680 |
| 38 | 1.75315 | 1.74708 | 1.74134 | 1.73589 | 1.73073 | 1.72582 | 1.72114 | 1.71669 | 1.71244 | 1.70838 |
| 39 | 1.74535 | 1.73926 | 1.73350 | 1.72803 | 1.72284 | 1.71791 | 1.71321 | 1.70874 | 1.70447 | 1.70039 |
| 40 | 1.73796 | 1.73184 | 1.72605 | 1.72056 | 1.71535 | 1.71040 | 1.70568 | 1.70119 | 1.69690 | 1.69280 |
| 41 | 1.73093 | 1.72479 | 1.71898 | 1.71347 | 1.70823 | 1.70326 | 1.69852 | 1.69401 | 1.68970 | 1.68558 |
| 42 | 1.72424 | 1.71808 | 1.71224 | 1.70671 | 1.70146 | 1.69646 | 1.69171 | 1.68718 | 1.68285 | 1.67871 |
| 43 | 1.71787 | 1.71168 | 1.70583 | 1.70028 | 1.69500 | 1.68999 | 1.68521 | 1.68066 | 1.67632 | 1.67216 |
| 44 | 1.71179 | 1.70558 | 1.69971 | 1.69413 | 1.68884 | 1.68381 | 1.67902 | 1.67445 | 1.67008 | 1.66592 |
| 45 | 1.70598 | 1.69976 | 1.69386 | 1.68827 | 1.68296 | 1.67791 | 1.67310 | 1.66851 | 1.66413 | 1.65995 |
| 46 | 1.70043 | 1.69419 | 1.68827 | 1.68266 | 1.67733 | 1.67226 | 1.66743 | 1.66283 | 1.65844 | 1.65424 |
| 47 | 1.69512 | 1.68886 | 1.68292 | 1.67729 | 1.67195 | 1.66686 | 1.66202 | 1.65740 | 1.65298 | 1.64877 |
| 48 | 1.69003 | 1.68375 | 1.67780 | 1.67215 | 1.66679 | 1.66168 | 1.65682 | 1.65219 | 1.64776 | 1.64353 |
| 49 | 1.68515 | 1.67885 | 1.67288 | 1.66722 | 1.66184 | 1.65672 | 1.65184 | 1.64719 | 1.64275 | 1.63851 |
| 50 | 1.68047 | 1.67415 | 1.66817 | 1.66249 | 1.65709 | 1.65195 | 1.64706 | 1.64240 | 1.63794 | 1.63368 |
| Part V: m = 41 to 50, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| 1 | 251.220 | 251.293 | 251.363 | 251.430 | 251.494 | 251.554 | 251.613 | 251.669 | 251.723 | 251.774 |
| 2 | 19.4714 | 19.4719 | 19.4725 | 19.4730 | 19.4735 | 19.4740 | 19.4745 | 19.4749 | 19.4753 | 19.4757 |
| 3 | 8.59278 | 8.59123 | 8.58974 | 8.58832 | 8.58697 | 8.58567 | 8.58443 | 8.58324 | 8.58209 | 8.58100 |
| 4 | 5.71487 | 5.71284 | 5.71091 | 5.70906 | 5.70729 | 5.70560 | 5.70397 | 5.70242 | 5.70093 | 5.69949 |
| 5 | 4.46144 | 4.45919 | 4.45705 | 4.45500 | 4.45304 | 4.45117 | 4.44937 | 4.44765 | 4.44600 | 4.44441 |
| 6 | 3.77178 | 3.76940 | 3.76712 | 3.76494 | 3.76286 | 3.76086 | 3.75895 | 3.75712 | 3.75536 | 3.75367 |
| 7 | 3.33781 | 3.33532 | 3.33293 | 3.33066 | 3.32848 | 3.32639 | 3.32439 | 3.32247 | 3.32063 | 3.31886 |
| 8 | 3.04007 | 3.03748 | 3.03501 | 3.03264 | 3.03038 | 3.02822 | 3.02614 | 3.02415 | 3.02224 | 3.02040 |
| 9 | 2.82314 | 2.82047 | 2.81792 | 2.81548 | 2.81315 | 2.81091 | 2.80877 | 2.80672 | 2.80474 | 2.80284 |
| 10 | 2.65798 | 2.65524 | 2.65262 | 2.65012 | 2.64772 | 2.64542 | 2.64322 | 2.64111 | 2.63908 | 2.63712 |
| 11 | 2.52796 | 2.52516 | 2.52247 | 2.51991 | 2.51745 | 2.51510 | 2.51284 | 2.51067 | 2.50859 | 2.50659 |
| 12 | 2.42287 | 2.42000 | 2.41726 | 2.41464 | 2.41213 | 2.40972 | 2.40741 | 2.40520 | 2.40307 | 2.40102 |
| 13 | 2.33611 | 2.33319 | 2.33039 | 2.32771 | 2.32515 | 2.32270 | 2.32034 | 2.31808 | 2.31590 | 2.31381 |
| 14 | 2.26323 | 2.26025 | 2.25740 | 2.25467 | 2.25206 | 2.24956 | 2.24716 | 2.24485 | 2.24264 | 2.24051 |
| 15 | 2.20110 | 2.19807 | 2.19517 | 2.19240 | 2.18975 | 2.18720 | 2.18476 | 2.18241 | 2.18015 | 2.17799 |
| 16 | 2.14749 | 2.14441 | 2.14147 | 2.13865 | 2.13595 | 2.13337 | 2.13088 | 2.12850 | 2.12620 | 2.12400 |
| 17 | 2.10073 | 2.09761 | 2.09462 | 2.09176 | 2.08902 | 2.08640 | 2.08388 | 2.08146 | 2.07913 | 2.07689 |
| 18 | 2.05957 | 2.05641 | 2.05338 | 2.05048 | 2.04771 | 2.04504 | 2.04249 | 2.04003 | 2.03767 | 2.03540 |
| 19 | 2.02306 | 2.01985 | 2.01678 | 2.01385 | 2.01104 | 2.00834 | 2.00575 | 2.00326 | 2.00086 | 1.99856 |
| 20 | 1.99042 | 1.98718 | 1.98408 | 1.98111 | 1.97826 | 1.97553 | 1.97290 | 1.97038 | 1.96796 | 1.96563 |
| 21 | 1.96108 | 1.95780 | 1.95466 | 1.95166 | 1.94878 | 1.94602 | 1.94336 | 1.94081 | 1.93836 | 1.93600 |
| 22 | 1.93455 | 1.93124 | 1.92806 | 1.92503 | 1.92211 | 1.91932 | 1.91664 | 1.91406 | 1.91158 | 1.90919 |
| 23 | 1.91044 | 1.90709 | 1.90388 | 1.90081 | 1.89787 | 1.89505 | 1.89234 | 1.88973 | 1.88722 | 1.88481 |
| 24 | 1.88842 | 1.88504 | 1.88180 | 1.87871 | 1.87573 | 1.87288 | 1.87014 | 1.86751 | 1.86498 | 1.86254 |
| 25 | 1.86823 | 1.86482 | 1.86156 | 1.85843 | 1.85543 | 1.85255 | 1.84979 | 1.84713 | 1.84457 | 1.84211 |
| 26 | 1.84966 | 1.84622 | 1.84292 | 1.83977 | 1.83674 | 1.83384 | 1.83105 | 1.82837 | 1.82579 | 1.82330 |
| 27 | 1.83250 | 1.82903 | 1.82571 | 1.82253 | 1.81948 | 1.81655 | 1.81374 | 1.81103 | 1.80843 | 1.80592 |
| 28 | 1.81661 | 1.81311 | 1.80977 | 1.80656 | 1.80349 | 1.80053 | 1.79770 | 1.79497 | 1.79234 | 1.78981 |
| 29 | 1.80184 | 1.79832 | 1.79495 | 1.79172 | 1.78862 | 1.78564 | 1.78278 | 1.78003 | 1.77739 | 1.77484 |
| 30 | 1.78808 | 1.78454 | 1.78114 | 1.77789 | 1.77477 | 1.77177 | 1.76889 | 1.76612 | 1.76345 | 1.76088 |
| 31 | 1.77523 | 1.77166 | 1.76824 | 1.76497 | 1.76182 | 1.75880 | 1.75590 | 1.75311 | 1.75042 | 1.74783 |
| 32 | 1.76320 | 1.75961 | 1.75617 | 1.75287 | 1.74970 | 1.74666 | 1.74374 | 1.74093 | 1.73822 | 1.73562 |
| 33 | 1.75191 | 1.74830 | 1.74483 | 1.74151 | 1.73833 | 1.73527 | 1.73232 | 1.72949 | 1.72677 | 1.72415 |
| 34 | 1.74130 | 1.73766 | 1.73417 | 1.73083 | 1.72763 | 1.72455 | 1.72159 | 1.71874 | 1.71600 | 1.71336 |
| 35 | 1.73130 | 1.72764 | 1.72413 | 1.72077 | 1.71755 | 1.71445 | 1.71147 | 1.70861 | 1.70585 | 1.70319 |
| 36 | 1.72186 | 1.71818 | 1.71466 | 1.71128 | 1.70803 | 1.70492 | 1.70192 | 1.69904 | 1.69626 | 1.69359 |
| 37 | 1.71294 | 1.70924 | 1.70570 | 1.70230 | 1.69904 | 1.69590 | 1.69289 | 1.68999 | 1.68720 | 1.68451 |
| 38 | 1.70449 | 1.70078 | 1.69721 | 1.69380 | 1.69052 | 1.68737 | 1.68434 | 1.68142 | 1.67862 | 1.67591 |
| 39 | 1.69648 | 1.69275 | 1.68917 | 1.68573 | 1.68244 | 1.67927 | 1.67623 | 1.67330 | 1.67047 | 1.66775 |
| 40 | 1.68888 | 1.68512 | 1.68153 | 1.67808 | 1.67476 | 1.67158 | 1.66852 | 1.66558 | 1.66274 | 1.66000 |
| 41 | 1.68164 | 1.67787 | 1.67426 | 1.67079 | 1.66747 | 1.66427 | 1.66119 | 1.65823 | 1.65538 | 1.65263 |
| 42 | 1.67476 | 1.67097 | 1.66734 | 1.66386 | 1.66051 | 1.65730 | 1.65421 | 1.65124 | 1.64837 | 1.64561 |
| 43 | 1.66819 | 1.66439 | 1.66074 | 1.65725 | 1.65389 | 1.65066 | 1.64755 | 1.64457 | 1.64169 | 1.63891 |
| 44 | 1.66193 | 1.65811 | 1.65445 | 1.65093 | 1.64756 | 1.64432 | 1.64120 | 1.63820 | 1.63531 | 1.63252 |
| 45 | 1.65594 | 1.65211 | 1.64843 | 1.64490 | 1.64152 | 1.63826 | 1.63513 | 1.63211 | 1.62921 | 1.62641 |
| 46 | 1.65022 | 1.64637 | 1.64268 | 1.63913 | 1.63573 | 1.63246 | 1.62932 | 1.62629 | 1.62337 | 1.62056 |
| 47 | 1.64473 | 1.64087 | 1.63717 | 1.63361 | 1.63020 | 1.62691 | 1.62376 | 1.62072 | 1.61779 | 1.61496 |
| 48 | 1.63948 | 1.63560 | 1.63188 | 1.62832 | 1.62489 | 1.62159 | 1.61842 | 1.61537 | 1.61243 | 1.60959 |
| 49 | 1.63444 | 1.63055 | 1.62682 | 1.62324 | 1.61980 | 1.61649 | 1.61331 | 1.61024 | 1.60729 | 1.60444 |
| 50 | 1.62961 | 1.62570 | 1.62195 | 1.61836 | 1.61491 | 1.61159 | 1.60839 | 1.60532 | 1.60235 | 1.59950 |
Tabulated by S L C Saw
