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 0.999-th quantile (99.9-th percentile) of the F distribution with m = 5 and n = 10 is 10.4807.
| 0.999-th Quantiles (99.9-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 | 405284 | 500000 | 540379 | 562500 | 576405 | 585937 | 592873 | 598144 | 602284 | 605621 |
| 2 | 998.500 | 999.000 | 999.167 | 999.250 | 999.300 | 999.333 | 999.357 | 999.375 | 999.389 | 999.400 |
| 3 | 167.029 | 148.500 | 141.108 | 137.100 | 134.580 | 132.847 | 131.583 | 130.619 | 129.860 | 129.247 |
| 4 | 74.1373 | 61.2456 | 56.1772 | 53.4358 | 51.7116 | 50.5250 | 49.6579 | 48.9962 | 48.4745 | 48.0526 |
| 5 | 47.1808 | 37.1223 | 33.2025 | 31.0850 | 29.7524 | 28.8344 | 28.1627 | 27.6495 | 27.2445 | 26.9166 |
| 6 | 35.5075 | 27.0000 | 23.7033 | 21.9235 | 20.8027 | 20.0297 | 19.4634 | 19.0303 | 18.6882 | 18.4109 |
| 7 | 29.2452 | 21.6890 | 18.7723 | 17.1980 | 16.2058 | 15.5208 | 15.0186 | 14.6340 | 14.3299 | 14.0833 |
| 8 | 25.4148 | 18.4937 | 15.8295 | 14.3916 | 13.4847 | 12.8580 | 12.3980 | 12.0455 | 11.7665 | 11.5401 |
| 9 | 22.8571 | 16.3872 | 13.9018 | 12.5603 | 11.7137 | 11.1281 | 10.6980 | 10.3680 | 10.1066 | 9.89430 |
| 10 | 21.0396 | 14.9054 | 12.5528 | 11.2828 | 10.4807 | 9.92561 | 9.51745 | 9.20415 | 8.95577 | 8.75387 |
| 11 | 19.6868 | 13.8116 | 11.5611 | 10.3461 | 9.57838 | 9.04662 | 8.65535 | 8.35479 | 8.11635 | 7.92239 |
| 12 | 18.6433 | 12.9737 | 10.8042 | 9.63273 | 8.89211 | 8.37881 | 8.00087 | 7.71035 | 7.47974 | 7.29203 |
| 13 | 17.8154 | 12.3127 | 10.2089 | 9.07274 | 8.35409 | 7.85573 | 7.48855 | 7.20615 | 6.98184 | 6.79916 |
| 14 | 17.1434 | 11.7788 | 9.72937 | 8.62232 | 7.92181 | 7.43577 | 7.07747 | 6.80174 | 6.58261 | 6.40406 |
| 15 | 16.5874 | 11.3392 | 9.33525 | 8.25268 | 7.56739 | 7.09168 | 6.74082 | 6.47068 | 6.25588 | 6.08078 |
| 16 | 16.1202 | 10.9710 | 9.00594 | 7.94420 | 7.27186 | 6.80493 | 6.46039 | 6.19498 | 5.98386 | 5.81167 |
| 17 | 15.7222 | 10.6584 | 8.72685 | 7.68306 | 7.02187 | 6.56250 | 6.22338 | 5.96204 | 5.75406 | 5.58437 |
| 18 | 15.3793 | 10.3900 | 8.48745 | 7.45928 | 6.80778 | 6.35497 | 6.02057 | 5.76276 | 5.55751 | 5.38998 |
| 19 | 15.0808 | 10.1568 | 8.27993 | 7.26546 | 6.62247 | 6.17542 | 5.84515 | 5.59043 | 5.38756 | 5.22192 |
| 20 | 14.8188 | 9.95262 | 8.09838 | 7.09603 | 6.46056 | 6.01861 | 5.69199 | 5.43999 | 5.23923 | 5.07525 |
| 21 | 14.5869 | 9.77233 | 7.93826 | 6.94671 | 6.31794 | 5.88052 | 5.55714 | 5.30757 | 5.10867 | 4.94617 |
| 22 | 14.3803 | 9.61199 | 7.79601 | 6.81415 | 6.19138 | 5.75802 | 5.43755 | 5.19015 | 4.99292 | 4.83172 |
| 23 | 14.1950 | 9.46850 | 7.66883 | 6.69570 | 6.07835 | 5.64864 | 5.33079 | 5.08533 | 4.88960 | 4.72959 |
| 24 | 14.0280 | 9.33935 | 7.55446 | 6.58924 | 5.97679 | 5.55040 | 5.23491 | 4.99122 | 4.79684 | 4.63790 |
| 25 | 13.8767 | 9.22251 | 7.45107 | 6.49306 | 5.88507 | 5.46168 | 5.14835 | 4.90626 | 4.71312 | 4.55513 |
| 26 | 13.7390 | 9.11631 | 7.35717 | 6.40574 | 5.80182 | 5.38119 | 5.06982 | 4.82920 | 4.63717 | 4.48007 |
| 27 | 13.6131 | 9.01936 | 7.27151 | 6.32612 | 5.72594 | 5.30783 | 4.99827 | 4.75898 | 4.56798 | 4.41169 |
| 28 | 13.4976 | 8.93051 | 7.19306 | 6.25323 | 5.65650 | 5.24071 | 4.93280 | 4.69475 | 4.50469 | 4.34913 |
| 29 | 13.3913 | 8.84880 | 7.12096 | 6.18626 | 5.59271 | 5.17906 | 4.87269 | 4.63577 | 4.44658 | 4.29170 |
| 30 | 13.2930 | 8.77340 | 7.05446 | 6.12452 | 5.53391 | 5.12226 | 4.81729 | 4.58142 | 4.39304 | 4.23879 |
| 31 | 13.2020 | 8.70361 | 6.99294 | 6.06742 | 5.47955 | 5.06974 | 4.76609 | 4.53120 | 4.34356 | 4.18989 |
| 32 | 13.1175 | 8.63882 | 6.93586 | 6.01447 | 5.42915 | 5.02105 | 4.71863 | 4.48464 | 4.29769 | 4.14457 |
| 33 | 13.0387 | 8.57853 | 6.88277 | 5.96522 | 5.38228 | 4.97579 | 4.67450 | 4.44136 | 4.25506 | 4.10244 |
| 34 | 12.9652 | 8.52228 | 6.83325 | 5.91931 | 5.33859 | 4.93360 | 4.63339 | 4.40104 | 4.21534 | 4.06319 |
| 35 | 12.8963 | 8.46968 | 6.78697 | 5.87640 | 5.29778 | 4.89419 | 4.59498 | 4.36337 | 4.17823 | 4.02652 |
| 36 | 12.8318 | 8.42039 | 6.74361 | 5.83622 | 5.25956 | 4.85729 | 4.55902 | 4.32810 | 4.14350 | 3.99220 |
| 37 | 12.7712 | 8.37410 | 6.70292 | 5.79851 | 5.22369 | 4.82267 | 4.52528 | 4.29502 | 4.11092 | 3.96001 |
| 38 | 12.7141 | 8.33055 | 6.66464 | 5.76305 | 5.18998 | 4.79013 | 4.49357 | 4.26393 | 4.08030 | 3.92975 |
| 39 | 12.6602 | 8.28950 | 6.62858 | 5.72965 | 5.15822 | 4.75948 | 4.46371 | 4.23465 | 4.05146 | 3.90126 |
| 40 | 12.6094 | 8.25075 | 6.59454 | 5.69813 | 5.12826 | 4.73057 | 4.43555 | 4.20704 | 4.02426 | 3.87439 |
| 41 | 12.5612 | 8.21411 | 6.56236 | 5.66835 | 5.09995 | 4.70325 | 4.40893 | 4.18094 | 3.99856 | 3.84900 |
| 42 | 12.5156 | 8.17941 | 6.53190 | 5.64015 | 5.07315 | 4.67739 | 4.38375 | 4.15625 | 3.97425 | 3.82497 |
| 43 | 12.4724 | 8.14649 | 6.50302 | 5.61342 | 5.04776 | 4.65289 | 4.35988 | 4.13285 | 3.95120 | 3.80220 |
| 44 | 12.4313 | 8.11524 | 6.47560 | 5.58805 | 5.02365 | 4.62963 | 4.33722 | 4.11064 | 3.92933 | 3.78060 |
| 45 | 12.3922 | 8.08552 | 6.44953 | 5.56393 | 5.00074 | 4.60753 | 4.31570 | 4.08954 | 3.90855 | 3.76007 |
| 46 | 12.3549 | 8.05722 | 6.42472 | 5.54098 | 4.97893 | 4.58650 | 4.29522 | 4.06946 | 3.88878 | 3.74053 |
| 47 | 12.3194 | 8.03025 | 6.40107 | 5.51911 | 4.95816 | 4.56647 | 4.27570 | 4.05034 | 3.86995 | 3.72193 |
| 48 | 12.2855 | 8.00451 | 6.37851 | 5.49825 | 4.93835 | 4.54736 | 4.25710 | 4.03210 | 3.85199 | 3.70418 |
| 49 | 12.2531 | 7.97993 | 6.35697 | 5.47833 | 4.91943 | 4.52911 | 4.23933 | 4.01469 | 3.83484 | 3.68724 |
| 50 | 12.2221 | 7.95642 | 6.33637 | 5.45928 | 4.90135 | 4.51168 | 4.22235 | 3.99804 | 3.81846 | 3.67105 |
| Part II: m = 11 to 20, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 1 | 608368 | 610668 | 612622 | 614303 | 615764 | 617045 | 618178 | 619188 | 620092 | 620908 |
| 2 | 999.409 | 999.417 | 999.423 | 999.428 | 999.433 | 999.437 | 999.441 | 999.444 | 999.447 | 999.450 |
| 3 | 128.741 | 128.316 | 127.955 | 127.644 | 127.374 | 127.136 | 126.925 | 126.738 | 126.570 | 126.418 |
| 4 | 47.7043 | 47.4118 | 47.1628 | 46.9481 | 46.7612 | 46.5969 | 46.4515 | 46.3217 | 46.2053 | 46.1003 |
| 5 | 26.6456 | 26.4180 | 26.2240 | 26.0566 | 25.9108 | 25.7827 | 25.6691 | 25.5677 | 25.4768 | 25.3946 |
| 6 | 18.1816 | 17.9888 | 17.8244 | 17.6825 | 17.5587 | 17.4499 | 17.3534 | 17.2673 | 17.1900 | 17.1201 |
| 7 | 13.8791 | 13.7073 | 13.5607 | 13.4341 | 13.3237 | 13.2265 | 13.1403 | 13.0633 | 12.9941 | 12.9316 |
| 8 | 11.3525 | 11.1945 | 11.0596 | 10.9430 | 10.8413 | 10.7517 | 10.6722 | 10.6012 | 10.5374 | 10.4797 |
| 9 | 9.71831 | 9.57001 | 9.44329 | 9.33373 | 9.23807 | 9.15379 | 9.07898 | 9.01211 | 8.95198 | 8.89761 |
| 10 | 8.58640 | 8.44519 | 8.32446 | 8.22004 | 8.12880 | 8.04840 | 7.97698 | 7.91313 | 7.85569 | 7.80375 |
| 11 | 7.76142 | 7.62561 | 7.50944 | 7.40890 | 7.32103 | 7.24355 | 7.17471 | 7.11313 | 7.05772 | 7.00759 |
| 12 | 7.13616 | 7.00458 | 6.89197 | 6.79448 | 6.70922 | 6.63402 | 6.56718 | 6.50737 | 6.45353 | 6.40481 |
| 13 | 6.64738 | 6.51920 | 6.40945 | 6.31438 | 6.23122 | 6.15783 | 6.09258 | 6.03418 | 5.98158 | 5.93397 |
| 14 | 6.25565 | 6.13024 | 6.02282 | 5.92974 | 5.84827 | 5.77636 | 5.71240 | 5.65513 | 5.60355 | 5.55684 |
| 15 | 5.93516 | 5.81206 | 5.70658 | 5.61514 | 5.53508 | 5.46439 | 5.40149 | 5.34516 | 5.29440 | 5.24842 |
| 16 | 5.66841 | 5.54726 | 5.44341 | 5.35335 | 5.27448 | 5.20480 | 5.14280 | 5.08724 | 5.03717 | 4.99181 |
| 17 | 5.44314 | 5.32365 | 5.22119 | 5.13230 | 5.05443 | 4.98562 | 4.92437 | 4.86947 | 4.81998 | 4.77513 |
| 18 | 5.25049 | 5.13244 | 5.03117 | 4.94330 | 4.86629 | 4.79822 | 4.73761 | 4.68327 | 4.63428 | 4.58987 |
| 19 | 5.08395 | 4.96715 | 4.86693 | 4.77993 | 4.70367 | 4.63624 | 4.57618 | 4.52233 | 4.47376 | 4.42972 |
| 20 | 4.93862 | 4.82292 | 4.72360 | 4.63737 | 4.56176 | 4.49489 | 4.43531 | 4.38188 | 4.33368 | 4.28997 |
| 21 | 4.81072 | 4.69599 | 4.59748 | 4.51193 | 4.43689 | 4.37051 | 4.31136 | 4.25829 | 4.21041 | 4.16698 |
| 22 | 4.69734 | 4.58347 | 4.48568 | 4.40072 | 4.32619 | 4.26025 | 4.20146 | 4.14872 | 4.10112 | 4.05794 |
| 23 | 4.59615 | 4.48306 | 4.38591 | 4.30148 | 4.22740 | 4.16185 | 4.10339 | 4.05094 | 4.00359 | 3.96062 |
| 24 | 4.50532 | 4.39292 | 4.29634 | 4.21240 | 4.13872 | 4.07351 | 4.01535 | 3.96315 | 3.91602 | 3.87324 |
| 25 | 4.42333 | 4.31156 | 4.21550 | 4.13199 | 4.05868 | 3.99377 | 3.93588 | 3.88391 | 3.83697 | 3.79437 |
| 26 | 4.34897 | 4.23777 | 4.14218 | 4.05907 | 3.98608 | 3.92146 | 3.86380 | 3.81203 | 3.76528 | 3.72282 |
| 27 | 4.28123 | 4.17055 | 4.07539 | 3.99263 | 3.91995 | 3.85558 | 3.79814 | 3.74655 | 3.69995 | 3.65764 |
| 28 | 4.21926 | 4.10907 | 4.01430 | 3.93187 | 3.85946 | 3.79531 | 3.73807 | 3.68665 | 3.64019 | 3.59800 |
| 29 | 4.16237 | 4.05262 | 3.95821 | 3.87608 | 3.80391 | 3.73998 | 3.68292 | 3.63165 | 3.58532 | 3.54324 |
| 30 | 4.10997 | 4.00062 | 3.90654 | 3.82468 | 3.75275 | 3.68900 | 3.63210 | 3.58097 | 3.53476 | 3.49278 |
| 31 | 4.06153 | 3.95255 | 3.85878 | 3.77718 | 3.70545 | 3.64189 | 3.58514 | 3.53413 | 3.48803 | 3.44614 |
| 32 | 4.01664 | 3.90801 | 3.81452 | 3.73315 | 3.66162 | 3.59822 | 3.54160 | 3.49071 | 3.44471 | 3.40291 |
| 33 | 3.97491 | 3.86660 | 3.77338 | 3.69222 | 3.62087 | 3.55762 | 3.50113 | 3.45035 | 3.40444 | 3.36271 |
| 34 | 3.93603 | 3.82802 | 3.73505 | 3.65409 | 3.58291 | 3.51980 | 3.46342 | 3.41274 | 3.36691 | 3.32526 |
| 35 | 3.89971 | 3.79199 | 3.69924 | 3.61847 | 3.54745 | 3.48446 | 3.42820 | 3.37761 | 3.33185 | 3.29026 |
| 36 | 3.86572 | 3.75826 | 3.66572 | 3.58513 | 3.51425 | 3.45139 | 3.39522 | 3.34472 | 3.29903 | 3.25750 |
| 37 | 3.83383 | 3.72662 | 3.63428 | 3.55385 | 3.48311 | 3.42036 | 3.36429 | 3.31386 | 3.26824 | 3.22676 |
| 38 | 3.80387 | 3.69688 | 3.60473 | 3.52446 | 3.45384 | 3.39119 | 3.33521 | 3.28485 | 3.23930 | 3.19787 |
| 39 | 3.77565 | 3.66888 | 3.57691 | 3.49678 | 3.42628 | 3.36373 | 3.30783 | 3.25754 | 3.21204 | 3.17066 |
| 40 | 3.74903 | 3.64247 | 3.55066 | 3.47067 | 3.40028 | 3.33782 | 3.28200 | 3.23177 | 3.18633 | 3.14499 |
| 41 | 3.72388 | 3.61752 | 3.52587 | 3.44600 | 3.37572 | 3.31335 | 3.25759 | 3.20743 | 3.16203 | 3.12073 |
| 42 | 3.70008 | 3.59390 | 3.50240 | 3.42266 | 3.35247 | 3.29018 | 3.23450 | 3.18438 | 3.13903 | 3.09777 |
| 43 | 3.67753 | 3.57153 | 3.48017 | 3.40053 | 3.33044 | 3.26823 | 3.21261 | 3.16255 | 3.11724 | 3.07602 |
| 44 | 3.65614 | 3.55029 | 3.45907 | 3.37954 | 3.30954 | 3.24740 | 3.19183 | 3.14182 | 3.09655 | 3.05536 |
| 45 | 3.63580 | 3.53012 | 3.43902 | 3.35959 | 3.28967 | 3.22760 | 3.17209 | 3.12213 | 3.07690 | 3.03574 |
| 46 | 3.61646 | 3.51092 | 3.41994 | 3.34061 | 3.27077 | 3.20876 | 3.15331 | 3.10339 | 3.05819 | 3.01706 |
| 47 | 3.59803 | 3.49263 | 3.40177 | 3.32253 | 3.25277 | 3.19082 | 3.13541 | 3.08553 | 3.04037 | 2.99927 |
| 48 | 3.58045 | 3.47519 | 3.38444 | 3.30529 | 3.23559 | 3.17371 | 3.11835 | 3.06851 | 3.02337 | 2.98230 |
| 49 | 3.56367 | 3.45854 | 3.36789 | 3.28883 | 3.21920 | 3.15737 | 3.10205 | 3.05225 | 3.00715 | 2.96609 |
| 50 | 3.54764 | 3.44263 | 3.35208 | 3.27309 | 3.20353 | 3.14175 | 3.08648 | 3.03671 | 2.99164 | 2.95060 |
| Part III: m = 21 to 30, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| 1 | 621646 | 622319 | 622933 | 623497 | 624017 | 624497 | 624941 | 625354 | 625739 | 626099 |
| 2 | 999.452 | 999.454 | 999.456 | 999.458 | 999.460 | 999.461 | 999.463 | 999.464 | 999.465 | 999.467 |
| 3 | 126.280 | 126.155 | 126.040 | 125.935 | 125.838 | 125.748 | 125.665 | 125.588 | 125.516 | 125.449 |
| 4 | 46.0050 | 45.9182 | 45.8387 | 45.7658 | 45.6986 | 45.6364 | 45.5788 | 45.5252 | 45.4753 | 45.4286 |
| 5 | 25.3201 | 25.2522 | 25.1900 | 25.1329 | 25.0803 | 25.0316 | 24.9865 | 24.9445 | 24.9054 | 24.8688 |
| 6 | 17.0567 | 16.9989 | 16.9460 | 16.8974 | 16.8525 | 16.8111 | 16.7726 | 16.7368 | 16.7034 | 16.6722 |
| 7 | 12.8749 | 12.8231 | 12.7758 | 12.7322 | 12.6920 | 12.6549 | 12.6204 | 12.5883 | 12.5583 | 12.5304 |
| 8 | 10.4273 | 10.3795 | 10.3357 | 10.2954 | 10.2583 | 10.2239 | 10.1920 | 10.1623 | 10.1346 | 10.1087 |
| 9 | 8.84822 | 8.80315 | 8.76185 | 8.72386 | 8.68881 | 8.65636 | 8.62624 | 8.59820 | 8.57203 | 8.54756 |
| 10 | 7.75653 | 7.71344 | 7.67394 | 7.63760 | 7.60406 | 7.57300 | 7.54416 | 7.51731 | 7.49225 | 7.46880 |
| 11 | 6.96202 | 6.92040 | 6.88225 | 6.84714 | 6.81473 | 6.78471 | 6.75683 | 6.73087 | 6.70662 | 6.68394 |
| 12 | 6.36050 | 6.32003 | 6.28291 | 6.24875 | 6.21721 | 6.18798 | 6.16084 | 6.13555 | 6.11194 | 6.08984 |
| 13 | 5.89066 | 5.85110 | 5.81480 | 5.78139 | 5.75052 | 5.72192 | 5.69535 | 5.67060 | 5.64748 | 5.62583 |
| 14 | 5.51433 | 5.47549 | 5.43985 | 5.40704 | 5.37672 | 5.34862 | 5.32250 | 5.29817 | 5.27544 | 5.25416 |
| 15 | 5.20658 | 5.16833 | 5.13323 | 5.10090 | 5.07102 | 5.04333 | 5.01758 | 4.99359 | 4.97118 | 4.95019 |
| 16 | 4.95051 | 4.91275 | 4.87809 | 4.84616 | 4.81665 | 4.78929 | 4.76385 | 4.74014 | 4.71798 | 4.69723 |
| 17 | 4.73430 | 4.69695 | 4.66266 | 4.63106 | 4.60185 | 4.57477 | 4.54958 | 4.52610 | 4.50415 | 4.48359 |
| 18 | 4.54942 | 4.51242 | 4.47844 | 4.44712 | 4.41817 | 4.39131 | 4.36634 | 4.34305 | 4.32128 | 4.30088 |
| 19 | 4.38960 | 4.35290 | 4.31919 | 4.28811 | 4.25937 | 4.23271 | 4.20791 | 4.18478 | 4.16316 | 4.14290 |
| 20 | 4.25014 | 4.21369 | 4.18020 | 4.14933 | 4.12077 | 4.09428 | 4.06963 | 4.04664 | 4.02514 | 4.00499 |
| 21 | 4.12740 | 4.09117 | 4.05788 | 4.02718 | 3.99878 | 3.97243 | 3.94791 | 3.92504 | 3.90364 | 3.88359 |
| 22 | 4.01857 | 3.98253 | 3.94942 | 3.91887 | 3.89061 | 3.86438 | 3.83997 | 3.81719 | 3.79589 | 3.77592 |
| 23 | 3.92144 | 3.88557 | 3.85261 | 3.82219 | 3.79405 | 3.76793 | 3.74361 | 3.72092 | 3.69970 | 3.67980 |
| 24 | 3.83423 | 3.79851 | 3.76568 | 3.73538 | 3.70734 | 3.68131 | 3.65707 | 3.63446 | 3.61330 | 3.59346 |
| 25 | 3.75551 | 3.71992 | 3.68720 | 3.65701 | 3.62905 | 3.60310 | 3.57894 | 3.55639 | 3.53529 | 3.51550 |
| 26 | 3.68410 | 3.64863 | 3.61601 | 3.58590 | 3.55803 | 3.53215 | 3.50805 | 3.48555 | 3.46450 | 3.44475 |
| 27 | 3.61903 | 3.58366 | 3.55113 | 3.52111 | 3.49331 | 3.46749 | 3.44344 | 3.42099 | 3.39998 | 3.38027 |
| 28 | 3.55950 | 3.52423 | 3.49178 | 3.46182 | 3.43408 | 3.40832 | 3.38432 | 3.36191 | 3.34094 | 3.32126 |
| 29 | 3.50484 | 3.46965 | 3.43727 | 3.40738 | 3.37969 | 3.35397 | 3.33002 | 3.30764 | 3.28670 | 3.26705 |
| 30 | 3.45447 | 3.41935 | 3.38704 | 3.35720 | 3.32957 | 3.30389 | 3.27997 | 3.25763 | 3.23671 | 3.21709 |
| 31 | 3.40791 | 3.37286 | 3.34060 | 3.31082 | 3.28323 | 3.25759 | 3.23370 | 3.21139 | 3.19049 | 3.17089 |
| 32 | 3.36474 | 3.32975 | 3.29755 | 3.26781 | 3.24026 | 3.21465 | 3.19079 | 3.16850 | 3.14763 | 3.12804 |
| 33 | 3.32462 | 3.28968 | 3.25753 | 3.22783 | 3.20031 | 3.17473 | 3.15090 | 3.12863 | 3.10777 | 3.08820 |
| 34 | 3.28722 | 3.25233 | 3.22022 | 3.19056 | 3.16307 | 3.13752 | 3.11371 | 3.09146 | 3.07062 | 3.05106 |
| 35 | 3.25228 | 3.21744 | 3.18537 | 3.15574 | 3.12828 | 3.10275 | 3.07896 | 3.05672 | 3.03590 | 3.01635 |
| 36 | 3.21957 | 3.18477 | 3.15274 | 3.12314 | 3.09570 | 3.07019 | 3.04641 | 3.02419 | 3.00338 | 2.98384 |
| 37 | 3.18888 | 3.15412 | 3.12212 | 3.09254 | 3.06513 | 3.03964 | 3.01588 | 2.99367 | 2.97286 | 2.95333 |
| 38 | 3.16003 | 3.12530 | 3.09333 | 3.06378 | 3.03639 | 3.01091 | 2.98716 | 2.96497 | 2.94417 | 2.92464 |
| 39 | 3.13285 | 3.09817 | 3.06622 | 3.03669 | 3.00931 | 2.98385 | 2.96012 | 2.93793 | 2.91714 | 2.89761 |
| 40 | 3.10722 | 3.07256 | 3.04064 | 3.01113 | 2.98377 | 2.95832 | 2.93460 | 2.91241 | 2.89163 | 2.87211 |
| 41 | 3.08299 | 3.04836 | 3.01646 | 2.98697 | 2.95963 | 2.93419 | 2.91047 | 2.88830 | 2.86752 | 2.84800 |
| 42 | 3.06007 | 3.02546 | 2.99358 | 2.96411 | 2.93678 | 2.91135 | 2.88764 | 2.86547 | 2.84469 | 2.82518 |
| 43 | 3.03834 | 3.00376 | 2.97189 | 2.94244 | 2.91512 | 2.88970 | 2.86600 | 2.84383 | 2.82305 | 2.80354 |
| 44 | 3.01771 | 2.98315 | 2.95131 | 2.92186 | 2.89455 | 2.86915 | 2.84545 | 2.82328 | 2.80251 | 2.78300 |
| 45 | 2.99811 | 2.96357 | 2.93174 | 2.90231 | 2.87501 | 2.84961 | 2.82591 | 2.80375 | 2.78298 | 2.76347 |
| 46 | 2.97946 | 2.94494 | 2.91312 | 2.88370 | 2.85641 | 2.83102 | 2.80732 | 2.78517 | 2.76439 | 2.74488 |
| 47 | 2.96169 | 2.92718 | 2.89538 | 2.86597 | 2.83869 | 2.81330 | 2.78961 | 2.76745 | 2.74668 | 2.72717 |
| 48 | 2.94474 | 2.91025 | 2.87846 | 2.84906 | 2.82178 | 2.79640 | 2.77271 | 2.75056 | 2.72978 | 2.71027 |
| 49 | 2.92855 | 2.89408 | 2.86230 | 2.83291 | 2.80564 | 2.78026 | 2.75657 | 2.73442 | 2.71365 | 2.69413 |
| 50 | 2.91308 | 2.87862 | 2.84685 | 2.81747 | 2.79020 | 2.76483 | 2.74114 | 2.71899 | 2.69822 | 2.67869 |
| Part IV: m = 31 to 40, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| 1 | 626435 | 626751 | 627048 | 627327 | 627591 | 627840 | 628075 | 628299 | 628511 | 628712 |
| 2 | 999.468 | 999.469 | 999.470 | 999.471 | 999.471 | 999.472 | 999.473 | 999.474 | 999.474 | 999.475 |
| 3 | 125.386 | 125.327 | 125.271 | 125.219 | 125.169 | 125.123 | 125.078 | 125.037 | 124.997 | 124.959 |
| 4 | 45.3849 | 45.3439 | 45.3053 | 45.2689 | 45.2346 | 45.2022 | 45.1715 | 45.1424 | 45.1148 | 45.0886 |
| 5 | 24.8345 | 24.8023 | 24.7721 | 24.7436 | 24.7167 | 24.6912 | 24.6672 | 24.6443 | 24.6226 | 24.6020 |
| 6 | 16.6430 | 16.6155 | 16.5897 | 16.5654 | 16.5424 | 16.5207 | 16.5002 | 16.4807 | 16.4622 | 16.4446 |
| 7 | 12.5041 | 12.4795 | 12.4563 | 12.4345 | 12.4139 | 12.3944 | 12.3759 | 12.3584 | 12.3418 | 12.3260 |
| 8 | 10.0844 | 10.0616 | 10.0402 | 10.0199 | 10.0008 | 9.98278 | 9.96567 | 9.94944 | 9.93402 | 9.91936 |
| 9 | 8.52461 | 8.50306 | 8.48278 | 8.46365 | 8.44559 | 8.42851 | 8.41233 | 8.39698 | 8.38239 | 8.36852 |
| 10 | 7.44681 | 7.42616 | 7.40672 | 7.38839 | 7.37107 | 7.35469 | 7.33917 | 7.32445 | 7.31045 | 7.29714 |
| 11 | 6.66267 | 6.64269 | 6.62387 | 6.60612 | 6.58936 | 6.57350 | 6.55847 | 6.54420 | 6.53065 | 6.51775 |
| 12 | 6.06911 | 6.04963 | 6.03129 | 6.01399 | 5.99765 | 5.98218 | 5.96752 | 5.95361 | 5.94039 | 5.92780 |
| 13 | 5.60553 | 5.58645 | 5.56848 | 5.55152 | 5.53550 | 5.52034 | 5.50597 | 5.49232 | 5.47936 | 5.46702 |
| 14 | 5.23419 | 5.21542 | 5.19774 | 5.18106 | 5.16530 | 5.15037 | 5.13623 | 5.12280 | 5.11003 | 5.09788 |
| 15 | 4.93049 | 4.91197 | 4.89453 | 4.87806 | 4.86250 | 4.84777 | 4.83380 | 4.82054 | 4.80793 | 4.79593 |
| 16 | 4.67775 | 4.65943 | 4.64218 | 4.62589 | 4.61049 | 4.59592 | 4.58209 | 4.56897 | 4.55649 | 4.54461 |
| 17 | 4.46430 | 4.44615 | 4.42905 | 4.41290 | 4.39764 | 4.38319 | 4.36948 | 4.35647 | 4.34409 | 4.33231 |
| 18 | 4.28174 | 4.26372 | 4.24675 | 4.23073 | 4.21557 | 4.20122 | 4.18761 | 4.17469 | 4.16239 | 4.15069 |
| 19 | 4.12388 | 4.10598 | 4.08912 | 4.07319 | 4.05813 | 4.04386 | 4.03033 | 4.01747 | 4.00525 | 3.99361 |
| 20 | 3.98608 | 3.96828 | 3.95150 | 3.93565 | 3.92066 | 3.90647 | 3.89300 | 3.88021 | 3.86804 | 3.85644 |
| 21 | 3.86476 | 3.84704 | 3.83034 | 3.81456 | 3.79963 | 3.78550 | 3.77208 | 3.75934 | 3.74721 | 3.73566 |
| 22 | 3.75717 | 3.73952 | 3.72287 | 3.70715 | 3.69228 | 3.67819 | 3.66481 | 3.65211 | 3.64002 | 3.62851 |
| 23 | 3.66110 | 3.64351 | 3.62692 | 3.61124 | 3.59641 | 3.58236 | 3.56902 | 3.55635 | 3.54430 | 3.53281 |
| 24 | 3.57482 | 3.55727 | 3.54072 | 3.52509 | 3.51030 | 3.49628 | 3.48297 | 3.47033 | 3.45829 | 3.44683 |
| 25 | 3.49690 | 3.47940 | 3.46288 | 3.44728 | 3.43252 | 3.41853 | 3.40525 | 3.39262 | 3.38061 | 3.36916 |
| 26 | 3.42620 | 3.40873 | 3.39224 | 3.37667 | 3.36193 | 3.34796 | 3.33470 | 3.32209 | 3.31010 | 3.29866 |
| 27 | 3.36175 | 3.34431 | 3.32785 | 3.31230 | 3.29758 | 3.28363 | 3.27038 | 3.25779 | 3.24581 | 3.23438 |
| 28 | 3.30277 | 3.28535 | 3.26892 | 3.25338 | 3.23868 | 3.22474 | 3.21151 | 3.19893 | 3.18695 | 3.17554 |
| 29 | 3.24858 | 3.23119 | 3.21477 | 3.19926 | 3.18457 | 3.17064 | 3.15742 | 3.14484 | 3.13287 | 3.12147 |
| 30 | 3.19864 | 3.18126 | 3.16486 | 3.14936 | 3.13468 | 3.12076 | 3.10755 | 3.09498 | 3.08301 | 3.07161 |
| 31 | 3.15246 | 3.13509 | 3.11870 | 3.10321 | 3.08854 | 3.07463 | 3.06142 | 3.04886 | 3.03689 | 3.02549 |
| 32 | 3.10963 | 3.09227 | 3.07590 | 3.06041 | 3.04575 | 3.03184 | 3.01863 | 3.00607 | 2.99411 | 2.98271 |
| 33 | 3.06980 | 3.05245 | 3.03608 | 3.02060 | 3.00594 | 2.99204 | 2.97884 | 2.96628 | 2.95432 | 2.94291 |
| 34 | 3.03266 | 3.01533 | 2.99896 | 2.98349 | 2.96883 | 2.95493 | 2.94173 | 2.92917 | 2.91721 | 2.90580 |
| 35 | 2.99796 | 2.98063 | 2.96427 | 2.94880 | 2.93415 | 2.92024 | 2.90704 | 2.89448 | 2.88252 | 2.87111 |
| 36 | 2.96546 | 2.94813 | 2.93178 | 2.91631 | 2.90165 | 2.88775 | 2.87455 | 2.86198 | 2.85002 | 2.83861 |
| 37 | 2.93495 | 2.91763 | 2.90128 | 2.88581 | 2.87116 | 2.85725 | 2.84404 | 2.83148 | 2.81951 | 2.80809 |
| 38 | 2.90627 | 2.88895 | 2.87260 | 2.85713 | 2.84247 | 2.82857 | 2.81536 | 2.80279 | 2.79081 | 2.77939 |
| 39 | 2.87924 | 2.86193 | 2.84557 | 2.83010 | 2.81545 | 2.80154 | 2.78832 | 2.77575 | 2.76377 | 2.75235 |
| 40 | 2.85374 | 2.83643 | 2.82007 | 2.80460 | 2.78994 | 2.77603 | 2.76281 | 2.75023 | 2.73825 | 2.72682 |
| 41 | 2.82963 | 2.81232 | 2.79596 | 2.78049 | 2.76583 | 2.75191 | 2.73869 | 2.72610 | 2.71411 | 2.70268 |
| 42 | 2.80681 | 2.78949 | 2.77314 | 2.75766 | 2.74299 | 2.72907 | 2.71585 | 2.70326 | 2.69126 | 2.67982 |
| 43 | 2.78517 | 2.76786 | 2.75150 | 2.73602 | 2.72134 | 2.70742 | 2.69419 | 2.68159 | 2.66959 | 2.65814 |
| 44 | 2.76463 | 2.74731 | 2.73095 | 2.71546 | 2.70079 | 2.68686 | 2.67362 | 2.66102 | 2.64901 | 2.63755 |
| 45 | 2.74510 | 2.72778 | 2.71141 | 2.69592 | 2.68124 | 2.66731 | 2.65406 | 2.64146 | 2.62944 | 2.61798 |
| 46 | 2.72651 | 2.70918 | 2.69281 | 2.67732 | 2.66264 | 2.64870 | 2.63545 | 2.62283 | 2.61081 | 2.59934 |
| 47 | 2.70879 | 2.69147 | 2.67509 | 2.65959 | 2.64490 | 2.63096 | 2.61770 | 2.60508 | 2.59305 | 2.58157 |
| 48 | 2.69189 | 2.67456 | 2.65818 | 2.64268 | 2.62798 | 2.61403 | 2.60077 | 2.58814 | 2.57610 | 2.56462 |
| 49 | 2.67575 | 2.65841 | 2.64203 | 2.62652 | 2.61182 | 2.59786 | 2.58459 | 2.57196 | 2.55991 | 2.54842 |
| 50 | 2.66031 | 2.64297 | 2.62659 | 2.61107 | 2.59637 | 2.58240 | 2.56912 | 2.55648 | 2.54443 | 2.53293 |
| Part V: m = 41 to 50, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| 1 | 628904 | 629086 | 629260 | 629427 | 629586 | 629738 | 629883 | 630023 | 630157 | 630285 |
| 2 | 999.476 | 999.476 | 999.477 | 999.477 | 999.478 | 999.478 | 999.479 | 999.479 | 999.480 | 999.480 |
| 3 | 124.923 | 124.889 | 124.856 | 124.825 | 124.795 | 124.766 | 124.739 | 124.713 | 124.688 | 124.664 |
| 4 | 45.0636 | 45.0398 | 45.0170 | 44.9953 | 44.9746 | 44.9547 | 44.9357 | 44.9175 | 44.9000 | 44.8831 |
| 5 | 24.5824 | 24.5637 | 24.5459 | 24.5288 | 24.5125 | 24.4969 | 24.4820 | 24.4677 | 24.4539 | 24.4407 |
| 6 | 16.4278 | 16.4118 | 16.3966 | 16.3820 | 16.3681 | 16.3548 | 16.3420 | 16.3297 | 16.3180 | 16.3067 |
| 7 | 12.3109 | 12.2966 | 12.2829 | 12.2698 | 12.2572 | 12.2453 | 12.2338 | 12.2228 | 12.2122 | 12.2021 |
| 8 | 9.90540 | 9.89208 | 9.87938 | 9.86724 | 9.85563 | 9.84451 | 9.83386 | 9.82365 | 9.81384 | 9.80442 |
| 9 | 8.35530 | 8.34271 | 8.33068 | 8.31919 | 8.30820 | 8.29767 | 8.28759 | 8.27791 | 8.26862 | 8.25970 |
| 10 | 7.28446 | 7.27237 | 7.26083 | 7.24980 | 7.23925 | 7.22915 | 7.21946 | 7.21017 | 7.20125 | 7.19268 |
| 11 | 6.50547 | 6.49375 | 6.48257 | 6.47188 | 6.46165 | 6.45185 | 6.44246 | 6.43346 | 6.42481 | 6.41650 |
| 12 | 5.91582 | 5.90438 | 5.89347 | 5.88303 | 5.87305 | 5.86348 | 5.85432 | 5.84552 | 5.83707 | 5.82896 |
| 13 | 5.45526 | 5.44404 | 5.43333 | 5.42309 | 5.41329 | 5.40391 | 5.39491 | 5.38628 | 5.37799 | 5.37002 |
| 14 | 5.08630 | 5.07525 | 5.06470 | 5.05462 | 5.04496 | 5.03572 | 5.02685 | 5.01834 | 5.01017 | 5.00232 |
| 15 | 4.78450 | 4.77358 | 4.76316 | 4.75319 | 4.74366 | 4.73452 | 4.72576 | 4.71735 | 4.70927 | 4.70150 |
| 16 | 4.53328 | 4.52248 | 4.51216 | 4.50228 | 4.49284 | 4.48378 | 4.47510 | 4.46677 | 4.45877 | 4.45107 |
| 17 | 4.32107 | 4.31035 | 4.30011 | 4.29032 | 4.28094 | 4.27196 | 4.26334 | 4.25507 | 4.24713 | 4.23949 |
| 18 | 4.13953 | 4.12888 | 4.11870 | 4.10897 | 4.09965 | 4.09072 | 4.08216 | 4.07393 | 4.06604 | 4.05844 |
| 19 | 3.98251 | 3.97191 | 3.96179 | 3.95210 | 3.94283 | 3.93395 | 3.92542 | 3.91724 | 3.90938 | 3.90182 |
| 20 | 3.84539 | 3.83484 | 3.82476 | 3.81512 | 3.80588 | 3.79703 | 3.78854 | 3.78039 | 3.77255 | 3.76502 |
| 21 | 3.72465 | 3.71414 | 3.70409 | 3.69447 | 3.68527 | 3.67645 | 3.66798 | 3.65985 | 3.65204 | 3.64453 |
| 22 | 3.61753 | 3.60704 | 3.59702 | 3.58743 | 3.57825 | 3.56945 | 3.56101 | 3.55290 | 3.54510 | 3.53761 |
| 23 | 3.52185 | 3.51139 | 3.50139 | 3.49182 | 3.48266 | 3.47388 | 3.46545 | 3.45735 | 3.44957 | 3.44209 |
| 24 | 3.43589 | 3.42545 | 3.41547 | 3.40591 | 3.39677 | 3.38799 | 3.37958 | 3.37149 | 3.36372 | 3.35625 |
| 25 | 3.35824 | 3.34781 | 3.33784 | 3.32830 | 3.31916 | 3.31040 | 3.30199 | 3.29392 | 3.28615 | 3.27868 |
| 26 | 3.28776 | 3.27734 | 3.26738 | 3.25785 | 3.24871 | 3.23996 | 3.23155 | 3.22348 | 3.21572 | 3.20826 |
| 27 | 3.22349 | 3.21308 | 3.20312 | 3.19360 | 3.18447 | 3.17572 | 3.16732 | 3.15925 | 3.15149 | 3.14403 |
| 28 | 3.16465 | 3.15424 | 3.14430 | 3.13477 | 3.12565 | 3.11690 | 3.10850 | 3.10043 | 3.09268 | 3.08521 |
| 29 | 3.11058 | 3.10018 | 3.09023 | 3.08071 | 3.07159 | 3.06284 | 3.05444 | 3.04637 | 3.03861 | 3.03115 |
| 30 | 3.06072 | 3.05033 | 3.04038 | 3.03086 | 3.02174 | 3.01299 | 3.00459 | 2.99652 | 2.98876 | 2.98129 |
| 31 | 3.01461 | 3.00421 | 2.99427 | 2.98474 | 2.97562 | 2.96687 | 2.95846 | 2.95039 | 2.94263 | 2.93516 |
| 32 | 2.97183 | 2.96143 | 2.95148 | 2.94196 | 2.93283 | 2.92407 | 2.91567 | 2.90759 | 2.89982 | 2.89235 |
| 33 | 2.93203 | 2.92163 | 2.91168 | 2.90215 | 2.89302 | 2.88426 | 2.87585 | 2.86777 | 2.85999 | 2.85251 |
| 34 | 2.89491 | 2.88451 | 2.87456 | 2.86502 | 2.85589 | 2.84712 | 2.83871 | 2.83062 | 2.82284 | 2.81536 |
| 35 | 2.86022 | 2.84981 | 2.83985 | 2.83032 | 2.82117 | 2.81240 | 2.80398 | 2.79589 | 2.78811 | 2.78061 |
| 36 | 2.82771 | 2.81730 | 2.80734 | 2.79779 | 2.78865 | 2.77987 | 2.77144 | 2.76334 | 2.75555 | 2.74805 |
| 37 | 2.79719 | 2.78678 | 2.77681 | 2.76726 | 2.75811 | 2.74933 | 2.74089 | 2.73279 | 2.72499 | 2.71748 |
| 38 | 2.76849 | 2.75806 | 2.74809 | 2.73854 | 2.72938 | 2.72059 | 2.71215 | 2.70403 | 2.69623 | 2.68871 |
| 39 | 2.74144 | 2.73101 | 2.72103 | 2.71147 | 2.70230 | 2.69350 | 2.68506 | 2.67693 | 2.66912 | 2.66160 |
| 40 | 2.71590 | 2.70546 | 2.69548 | 2.68591 | 2.67674 | 2.66793 | 2.65948 | 2.65135 | 2.64353 | 2.63600 |
| 41 | 2.69175 | 2.68131 | 2.67132 | 2.66174 | 2.65256 | 2.64375 | 2.63529 | 2.62715 | 2.61932 | 2.61179 |
| 42 | 2.66889 | 2.65844 | 2.64844 | 2.63886 | 2.62967 | 2.62085 | 2.61238 | 2.60423 | 2.59640 | 2.58885 |
| 43 | 2.64720 | 2.63675 | 2.62674 | 2.61715 | 2.60795 | 2.59913 | 2.59065 | 2.58249 | 2.57465 | 2.56710 |
| 44 | 2.62661 | 2.61614 | 2.60613 | 2.59653 | 2.58733 | 2.57849 | 2.57001 | 2.56185 | 2.55399 | 2.54643 |
| 45 | 2.60703 | 2.59655 | 2.58653 | 2.57693 | 2.56771 | 2.55887 | 2.55038 | 2.54221 | 2.53435 | 2.52678 |
| 46 | 2.58838 | 2.57790 | 2.56787 | 2.55826 | 2.54904 | 2.54019 | 2.53168 | 2.52351 | 2.51564 | 2.50806 |
| 47 | 2.57061 | 2.56012 | 2.55008 | 2.54046 | 2.53123 | 2.52237 | 2.51386 | 2.50568 | 2.49780 | 2.49021 |
| 48 | 2.55364 | 2.54315 | 2.53310 | 2.52347 | 2.51424 | 2.50537 | 2.49685 | 2.48866 | 2.48077 | 2.47318 |
| 49 | 2.53744 | 2.52694 | 2.51688 | 2.50725 | 2.49800 | 2.48913 | 2.48060 | 2.47240 | 2.46450 | 2.45690 |
| 50 | 2.52194 | 2.51143 | 2.50137 | 2.49173 | 2.48247 | 2.47359 | 2.46505 | 2.45684 | 2.44894 | 2.44133 |
Tabulated by S L C Saw
