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 0.90-th quantile (90-th percentile) of the F distribution with m = 5 and n = 10 is 2.52164.
| 0.90-th Quantiles (90-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 | 39.8635 | 49.5000 | 53.5932 | 55.8330 | 57.2401 | 58.2044 | 58.9060 | 59.4390 | 59.8576 | 60.1950 |
| 2 | 8.52632 | 9.00000 | 9.16179 | 9.24342 | 9.29263 | 9.32553 | 9.34908 | 9.36677 | 9.38054 | 9.39157 |
| 3 | 5.53832 | 5.46238 | 5.39077 | 5.34264 | 5.30916 | 5.28473 | 5.26619 | 5.25167 | 5.24000 | 5.23041 |
| 4 | 4.54477 | 4.32456 | 4.19086 | 4.10725 | 4.05058 | 4.00975 | 3.97897 | 3.95494 | 3.93567 | 3.91988 |
| 5 | 4.06042 | 3.77972 | 3.61948 | 3.52020 | 3.45298 | 3.40451 | 3.36790 | 3.33928 | 3.31628 | 3.29740 |
| 6 | 3.77595 | 3.46330 | 3.28876 | 3.18076 | 3.10751 | 3.05455 | 3.01446 | 2.98304 | 2.95774 | 2.93693 |
| 7 | 3.58943 | 3.25744 | 3.07407 | 2.96053 | 2.88334 | 2.82739 | 2.78493 | 2.75158 | 2.72468 | 2.70251 |
| 8 | 3.45792 | 3.11312 | 2.92380 | 2.80643 | 2.72645 | 2.66833 | 2.62413 | 2.58935 | 2.56124 | 2.53804 |
| 9 | 3.36030 | 3.00645 | 2.81286 | 2.69268 | 2.61061 | 2.55086 | 2.50531 | 2.46941 | 2.44034 | 2.41632 |
| 10 | 3.28502 | 2.92447 | 2.72767 | 2.60534 | 2.52164 | 2.46058 | 2.41397 | 2.37715 | 2.34731 | 2.32260 |
| 11 | 3.22520 | 2.85951 | 2.66023 | 2.53619 | 2.45118 | 2.38907 | 2.34157 | 2.30400 | 2.27350 | 2.24823 |
| 12 | 3.17655 | 2.80680 | 2.60552 | 2.48010 | 2.39402 | 2.33102 | 2.28278 | 2.24457 | 2.21352 | 2.18776 |
| 13 | 3.13621 | 2.76317 | 2.56027 | 2.43371 | 2.34672 | 2.28298 | 2.23410 | 2.19535 | 2.16382 | 2.13763 |
| 14 | 3.10221 | 2.72647 | 2.52222 | 2.39469 | 2.30694 | 2.24256 | 2.19313 | 2.15390 | 2.12195 | 2.09540 |
| 15 | 3.07319 | 2.69517 | 2.48979 | 2.36143 | 2.27302 | 2.20808 | 2.15818 | 2.11853 | 2.08621 | 2.05932 |
| 16 | 3.04811 | 2.66817 | 2.46181 | 2.33274 | 2.24376 | 2.17833 | 2.12800 | 2.08798 | 2.05533 | 2.02815 |
| 17 | 3.02623 | 2.64464 | 2.43743 | 2.30775 | 2.21825 | 2.15239 | 2.10169 | 2.06134 | 2.02839 | 2.00094 |
| 18 | 3.00698 | 2.62395 | 2.41601 | 2.28577 | 2.19583 | 2.12958 | 2.07854 | 2.03789 | 2.00467 | 1.97698 |
| 19 | 2.98990 | 2.60561 | 2.39702 | 2.26630 | 2.17596 | 2.10936 | 2.05802 | 2.01710 | 1.98364 | 1.95573 |
| 20 | 2.97465 | 2.58925 | 2.38009 | 2.24893 | 2.15823 | 2.09132 | 2.03970 | 1.99853 | 1.96485 | 1.93674 |
| 21 | 2.96096 | 2.57457 | 2.36489 | 2.23334 | 2.14231 | 2.07512 | 2.02325 | 1.98186 | 1.94797 | 1.91967 |
| 22 | 2.94858 | 2.56131 | 2.35117 | 2.21927 | 2.12794 | 2.06050 | 2.00840 | 1.96680 | 1.93273 | 1.90425 |
| 23 | 2.93736 | 2.54929 | 2.33873 | 2.20651 | 2.11491 | 2.04723 | 1.99492 | 1.95312 | 1.91888 | 1.89025 |
| 24 | 2.92712 | 2.53833 | 2.32739 | 2.19488 | 2.10303 | 2.03513 | 1.98263 | 1.94066 | 1.90625 | 1.87748 |
| 25 | 2.91774 | 2.52831 | 2.31702 | 2.18424 | 2.09216 | 2.02406 | 1.97138 | 1.92925 | 1.89469 | 1.86578 |
| 26 | 2.90913 | 2.51910 | 2.30749 | 2.17447 | 2.08218 | 2.01389 | 1.96104 | 1.91876 | 1.88407 | 1.85503 |
| 27 | 2.90119 | 2.51061 | 2.29871 | 2.16546 | 2.07298 | 2.00452 | 1.95151 | 1.90909 | 1.87427 | 1.84511 |
| 28 | 2.89385 | 2.50276 | 2.29060 | 2.15714 | 2.06447 | 1.99585 | 1.94270 | 1.90014 | 1.86520 | 1.83593 |
| 29 | 2.88703 | 2.49548 | 2.28307 | 2.14941 | 2.05658 | 1.98781 | 1.93452 | 1.89184 | 1.85679 | 1.82741 |
| 30 | 2.88069 | 2.48872 | 2.27607 | 2.14223 | 2.04925 | 1.98033 | 1.92692 | 1.88412 | 1.84896 | 1.81949 |
| 31 | 2.87478 | 2.48241 | 2.26955 | 2.13554 | 2.04241 | 1.97336 | 1.91982 | 1.87692 | 1.84166 | 1.81209 |
| 32 | 2.86926 | 2.47651 | 2.26345 | 2.12929 | 2.03601 | 1.96685 | 1.91320 | 1.87019 | 1.83483 | 1.80518 |
| 33 | 2.86408 | 2.47099 | 2.25774 | 2.12343 | 2.03003 | 1.96074 | 1.90699 | 1.86388 | 1.82843 | 1.79870 |
| 34 | 2.85922 | 2.46581 | 2.25239 | 2.11793 | 2.02441 | 1.95501 | 1.90116 | 1.85796 | 1.82243 | 1.79261 |
| 35 | 2.85466 | 2.46094 | 2.24735 | 2.11277 | 2.01912 | 1.94963 | 1.89568 | 1.85239 | 1.81678 | 1.78689 |
| 36 | 2.85035 | 2.45635 | 2.24261 | 2.10790 | 2.01415 | 1.94455 | 1.89051 | 1.84714 | 1.81145 | 1.78149 |
| 37 | 2.84628 | 2.45201 | 2.23813 | 2.10330 | 2.00945 | 1.93976 | 1.88564 | 1.84219 | 1.80643 | 1.77640 |
| 38 | 2.84244 | 2.44792 | 2.23390 | 2.09896 | 2.00501 | 1.93523 | 1.88103 | 1.83751 | 1.80167 | 1.77158 |
| 39 | 2.83880 | 2.44404 | 2.22989 | 2.09485 | 2.00081 | 1.93094 | 1.87666 | 1.83307 | 1.79717 | 1.76701 |
| 40 | 2.83535 | 2.44037 | 2.22609 | 2.09095 | 1.99682 | 1.92688 | 1.87252 | 1.82886 | 1.79290 | 1.76269 |
| 41 | 2.83208 | 2.43688 | 2.22249 | 2.08725 | 1.99304 | 1.92302 | 1.86859 | 1.82487 | 1.78885 | 1.75857 |
| 42 | 2.82896 | 2.43356 | 2.21906 | 2.08373 | 1.98944 | 1.91935 | 1.86486 | 1.82107 | 1.78499 | 1.75466 |
| 43 | 2.82600 | 2.43041 | 2.21580 | 2.08038 | 1.98601 | 1.91586 | 1.86130 | 1.81745 | 1.78132 | 1.75094 |
| 44 | 2.82317 | 2.42740 | 2.21269 | 2.07719 | 1.98275 | 1.91253 | 1.85791 | 1.81401 | 1.77782 | 1.74739 |
| 45 | 2.82048 | 2.42453 | 2.20972 | 2.07415 | 1.97964 | 1.90935 | 1.85467 | 1.81072 | 1.77448 | 1.74401 |
| 46 | 2.81790 | 2.42179 | 2.20689 | 2.07124 | 1.97667 | 1.90632 | 1.85159 | 1.80758 | 1.77129 | 1.74077 |
| 47 | 2.81544 | 2.41917 | 2.20418 | 2.06846 | 1.97382 | 1.90342 | 1.84863 | 1.80457 | 1.76824 | 1.73767 |
| 48 | 2.81308 | 2.41666 | 2.20159 | 2.06581 | 1.97110 | 1.90064 | 1.84580 | 1.80170 | 1.76532 | 1.73471 |
| 49 | 2.81082 | 2.41426 | 2.19911 | 2.06326 | 1.96850 | 1.89798 | 1.84309 | 1.79894 | 1.76252 | 1.73187 |
| 50 | 2.80866 | 2.41195 | 2.19673 | 2.06082 | 1.96600 | 1.89543 | 1.84050 | 1.79630 | 1.75984 | 1.72915 |
| Part II: m = 11 to 20, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 1 | 60.4727 | 60.7052 | 60.9028 | 61.0727 | 61.2203 | 61.3499 | 61.4644 | 61.5665 | 61.6579 | 61.7403 |
| 2 | 9.40060 | 9.40813 | 9.41451 | 9.41997 | 9.42471 | 9.42886 | 9.43252 | 9.43577 | 9.43869 | 9.44131 |
| 3 | 5.22240 | 5.21562 | 5.20979 | 5.20474 | 5.20031 | 5.19640 | 5.19293 | 5.18982 | 5.18702 | 5.18448 |
| 4 | 3.90669 | 3.89553 | 3.88595 | 3.87764 | 3.87036 | 3.86394 | 3.85822 | 3.85311 | 3.84851 | 3.84434 |
| 5 | 3.28162 | 3.26824 | 3.25674 | 3.24676 | 3.23801 | 3.23028 | 3.22340 | 3.21723 | 3.21168 | 3.20665 |
| 6 | 2.91952 | 2.90472 | 2.89199 | 2.88093 | 2.87122 | 2.86264 | 2.85499 | 2.84813 | 2.84194 | 2.83634 |
| 7 | 2.68392 | 2.66811 | 2.65449 | 2.64264 | 2.63223 | 2.62301 | 2.61479 | 2.60742 | 2.60077 | 2.59473 |
| 8 | 2.51855 | 2.50196 | 2.48765 | 2.47518 | 2.46422 | 2.45450 | 2.44583 | 2.43805 | 2.43102 | 2.42464 |
| 9 | 2.39611 | 2.37888 | 2.36401 | 2.35104 | 2.33962 | 2.32950 | 2.32046 | 2.31233 | 2.30499 | 2.29832 |
| 10 | 2.30181 | 2.28405 | 2.26871 | 2.25531 | 2.24351 | 2.23304 | 2.22368 | 2.21527 | 2.20766 | 2.20074 |
| 11 | 2.22693 | 2.20873 | 2.19298 | 2.17922 | 2.16709 | 2.15632 | 2.14669 | 2.13802 | 2.13018 | 2.12305 |
| 12 | 2.16603 | 2.14744 | 2.13134 | 2.11727 | 2.10485 | 2.09381 | 2.08394 | 2.07505 | 2.06700 | 2.05968 |
| 13 | 2.11552 | 2.09659 | 2.08019 | 2.06583 | 2.05316 | 2.04189 | 2.03180 | 2.02271 | 2.01447 | 2.00698 |
| 14 | 2.07295 | 2.05371 | 2.03704 | 2.02243 | 2.00953 | 1.99805 | 1.98777 | 1.97850 | 1.97010 | 1.96245 |
| 15 | 2.03658 | 2.01707 | 2.00015 | 1.98532 | 1.97222 | 1.96055 | 1.95009 | 1.94065 | 1.93210 | 1.92431 |
| 16 | 2.00513 | 1.98539 | 1.96824 | 1.95321 | 1.93992 | 1.92808 | 1.91746 | 1.90788 | 1.89919 | 1.89127 |
| 17 | 1.97768 | 1.95772 | 1.94037 | 1.92516 | 1.91169 | 1.89970 | 1.88893 | 1.87921 | 1.87040 | 1.86236 |
| 18 | 1.95351 | 1.93334 | 1.91581 | 1.90043 | 1.88681 | 1.87467 | 1.86377 | 1.85392 | 1.84499 | 1.83685 |
| 19 | 1.93205 | 1.91170 | 1.89401 | 1.87847 | 1.86471 | 1.85243 | 1.84140 | 1.83144 | 1.82240 | 1.81416 |
| 20 | 1.91288 | 1.89236 | 1.87451 | 1.85883 | 1.84494 | 1.83253 | 1.82139 | 1.81133 | 1.80219 | 1.79384 |
| 21 | 1.89565 | 1.87497 | 1.85698 | 1.84116 | 1.82715 | 1.81463 | 1.80338 | 1.79322 | 1.78398 | 1.77555 |
| 22 | 1.88007 | 1.85925 | 1.84113 | 1.82519 | 1.81106 | 1.79843 | 1.78709 | 1.77683 | 1.76750 | 1.75899 |
| 23 | 1.86593 | 1.84497 | 1.82672 | 1.81067 | 1.79643 | 1.78371 | 1.77227 | 1.76192 | 1.75251 | 1.74392 |
| 24 | 1.85302 | 1.83194 | 1.81358 | 1.79742 | 1.78308 | 1.77026 | 1.75873 | 1.74830 | 1.73882 | 1.73015 |
| 25 | 1.84120 | 1.82000 | 1.80153 | 1.78527 | 1.77083 | 1.75793 | 1.74632 | 1.73581 | 1.72625 | 1.71752 |
| 26 | 1.83032 | 1.80902 | 1.79045 | 1.77409 | 1.75957 | 1.74658 | 1.73490 | 1.72431 | 1.71469 | 1.70589 |
| 27 | 1.82029 | 1.79889 | 1.78022 | 1.76378 | 1.74917 | 1.73611 | 1.72435 | 1.71370 | 1.70400 | 1.69514 |
| 28 | 1.81101 | 1.78951 | 1.77075 | 1.75423 | 1.73954 | 1.72641 | 1.71457 | 1.70386 | 1.69411 | 1.68519 |
| 29 | 1.80240 | 1.78081 | 1.76196 | 1.74536 | 1.73060 | 1.71739 | 1.70550 | 1.69472 | 1.68491 | 1.67593 |
| 30 | 1.79438 | 1.77270 | 1.75378 | 1.73710 | 1.72227 | 1.70900 | 1.69704 | 1.68620 | 1.67634 | 1.66731 |
| 31 | 1.78690 | 1.76514 | 1.74614 | 1.72939 | 1.71450 | 1.70116 | 1.68914 | 1.67825 | 1.66833 | 1.65925 |
| 32 | 1.77990 | 1.75807 | 1.73900 | 1.72218 | 1.70722 | 1.69383 | 1.68175 | 1.67081 | 1.66084 | 1.65171 |
| 33 | 1.77334 | 1.75144 | 1.73230 | 1.71542 | 1.70040 | 1.68695 | 1.67482 | 1.66383 | 1.65381 | 1.64464 |
| 34 | 1.76719 | 1.74521 | 1.72601 | 1.70907 | 1.69399 | 1.68049 | 1.66831 | 1.65726 | 1.64720 | 1.63798 |
| 35 | 1.76139 | 1.73935 | 1.72009 | 1.70309 | 1.68796 | 1.67440 | 1.66217 | 1.65108 | 1.64097 | 1.63172 |
| 36 | 1.75593 | 1.73383 | 1.71450 | 1.69745 | 1.68227 | 1.66866 | 1.65639 | 1.64525 | 1.63510 | 1.62581 |
| 37 | 1.75077 | 1.72861 | 1.70923 | 1.69212 | 1.67689 | 1.66324 | 1.65092 | 1.63974 | 1.62955 | 1.62022 |
| 38 | 1.74589 | 1.72367 | 1.70424 | 1.68708 | 1.67180 | 1.65811 | 1.64574 | 1.63453 | 1.62430 | 1.61493 |
| 39 | 1.74127 | 1.71900 | 1.69951 | 1.68231 | 1.66698 | 1.65324 | 1.64084 | 1.62958 | 1.61932 | 1.60991 |
| 40 | 1.73689 | 1.71456 | 1.69503 | 1.67778 | 1.66241 | 1.64863 | 1.63619 | 1.62489 | 1.61459 | 1.60515 |
| 41 | 1.73272 | 1.71035 | 1.69077 | 1.67347 | 1.65806 | 1.64424 | 1.63176 | 1.62043 | 1.61010 | 1.60063 |
| 42 | 1.72876 | 1.70634 | 1.68672 | 1.66938 | 1.65393 | 1.64007 | 1.62755 | 1.61619 | 1.60582 | 1.59632 |
| 43 | 1.72499 | 1.70252 | 1.68286 | 1.66548 | 1.64999 | 1.63609 | 1.62354 | 1.61215 | 1.60175 | 1.59221 |
| 44 | 1.72139 | 1.69888 | 1.67918 | 1.66176 | 1.64623 | 1.63230 | 1.61972 | 1.60829 | 1.59786 | 1.58829 |
| 45 | 1.71796 | 1.69541 | 1.67566 | 1.65821 | 1.64265 | 1.62868 | 1.61606 | 1.60460 | 1.59414 | 1.58455 |
| 46 | 1.71468 | 1.69209 | 1.67230 | 1.65481 | 1.63922 | 1.62522 | 1.61257 | 1.60108 | 1.59059 | 1.58097 |
| 47 | 1.71155 | 1.68892 | 1.66909 | 1.65156 | 1.63594 | 1.62191 | 1.60923 | 1.59771 | 1.58720 | 1.57755 |
| 48 | 1.70854 | 1.68588 | 1.66602 | 1.64845 | 1.63280 | 1.61873 | 1.60603 | 1.59448 | 1.58394 | 1.57427 |
| 49 | 1.70567 | 1.68296 | 1.66307 | 1.64547 | 1.62978 | 1.61569 | 1.60296 | 1.59139 | 1.58082 | 1.57113 |
| 50 | 1.70291 | 1.68017 | 1.66024 | 1.64262 | 1.62690 | 1.61278 | 1.60002 | 1.58842 | 1.57782 | 1.56811 |
| Part III: m = 21 to 30, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| 1 | 61.8150 | 61.8829 | 61.9450 | 62.0021 | 62.0545 | 62.1030 | 62.1480 | 62.1897 | 62.2286 | 62.2650 |
| 2 | 9.44368 | 9.44584 | 9.44781 | 9.44962 | 9.45128 | 9.45281 | 9.45423 | 9.45555 | 9.45678 | 9.45793 |
| 3 | 5.18218 | 5.18007 | 5.17814 | 5.17636 | 5.17473 | 5.17321 | 5.17180 | 5.17048 | 5.16926 | 5.16811 |
| 4 | 3.84055 | 3.83709 | 3.83391 | 3.83099 | 3.82830 | 3.82580 | 3.82348 | 3.82132 | 3.81931 | 3.81742 |
| 5 | 3.20207 | 3.19789 | 3.19406 | 3.19052 | 3.18726 | 3.18424 | 3.18143 | 3.17881 | 3.17637 | 3.17408 |
| 6 | 2.83124 | 2.82657 | 2.82229 | 2.81834 | 2.81470 | 2.81132 | 2.80818 | 2.80525 | 2.80252 | 2.79996 |
| 7 | 2.58923 | 2.58420 | 2.57958 | 2.57533 | 2.57139 | 2.56774 | 2.56435 | 2.56118 | 2.55823 | 2.55546 |
| 8 | 2.41882 | 2.41350 | 2.40861 | 2.40410 | 2.39992 | 2.39605 | 2.39245 | 2.38910 | 2.38596 | 2.38302 |
| 9 | 2.29224 | 2.28667 | 2.28155 | 2.27683 | 2.27246 | 2.26840 | 2.26462 | 2.26110 | 2.25781 | 2.25472 |
| 10 | 2.19443 | 2.18865 | 2.18333 | 2.17843 | 2.17388 | 2.16966 | 2.16574 | 2.16207 | 2.15864 | 2.15543 |
| 11 | 2.11654 | 2.11057 | 2.10508 | 2.10001 | 2.09531 | 2.09095 | 2.08688 | 2.08309 | 2.07954 | 2.07621 |
| 12 | 2.05299 | 2.04686 | 2.04121 | 2.03599 | 2.03116 | 2.02667 | 2.02249 | 2.01858 | 2.01492 | 2.01149 |
| 13 | 2.00013 | 1.99385 | 1.98806 | 1.98272 | 1.97776 | 1.97316 | 1.96886 | 1.96485 | 1.96110 | 1.95757 |
| 14 | 1.95546 | 1.94904 | 1.94313 | 1.93766 | 1.93260 | 1.92788 | 1.92349 | 1.91939 | 1.91554 | 1.91193 |
| 15 | 1.91719 | 1.91065 | 1.90462 | 1.89904 | 1.89387 | 1.88906 | 1.88458 | 1.88039 | 1.87646 | 1.87277 |
| 16 | 1.88403 | 1.87737 | 1.87124 | 1.86556 | 1.86030 | 1.85540 | 1.85083 | 1.84655 | 1.84255 | 1.83879 |
| 17 | 1.85500 | 1.84824 | 1.84201 | 1.83624 | 1.83089 | 1.82591 | 1.82126 | 1.81691 | 1.81284 | 1.80901 |
| 18 | 1.82939 | 1.82253 | 1.81620 | 1.81035 | 1.80491 | 1.79985 | 1.79513 | 1.79072 | 1.78658 | 1.78269 |
| 19 | 1.80660 | 1.79965 | 1.79324 | 1.78731 | 1.78180 | 1.77666 | 1.77188 | 1.76739 | 1.76319 | 1.75924 |
| 20 | 1.78620 | 1.77917 | 1.77268 | 1.76667 | 1.76108 | 1.75589 | 1.75103 | 1.74649 | 1.74223 | 1.73822 |
| 21 | 1.76782 | 1.76071 | 1.75415 | 1.74807 | 1.74242 | 1.73716 | 1.73224 | 1.72764 | 1.72333 | 1.71927 |
| 22 | 1.75118 | 1.74400 | 1.73736 | 1.73122 | 1.72551 | 1.72018 | 1.71521 | 1.71056 | 1.70619 | 1.70208 |
| 23 | 1.73604 | 1.72879 | 1.72209 | 1.71588 | 1.71011 | 1.70473 | 1.69970 | 1.69500 | 1.69058 | 1.68643 |
| 24 | 1.72220 | 1.71489 | 1.70812 | 1.70185 | 1.69603 | 1.69059 | 1.68552 | 1.68076 | 1.67630 | 1.67210 |
| 25 | 1.70951 | 1.70213 | 1.69531 | 1.68898 | 1.68310 | 1.67762 | 1.67249 | 1.66769 | 1.66319 | 1.65895 |
| 26 | 1.69781 | 1.69038 | 1.68350 | 1.67712 | 1.67119 | 1.66566 | 1.66049 | 1.65565 | 1.65110 | 1.64682 |
| 27 | 1.68701 | 1.67952 | 1.67259 | 1.66616 | 1.66018 | 1.65461 | 1.64939 | 1.64451 | 1.63992 | 1.63560 |
| 28 | 1.67700 | 1.66945 | 1.66247 | 1.65600 | 1.64997 | 1.64435 | 1.63910 | 1.63417 | 1.62955 | 1.62519 |
| 29 | 1.66769 | 1.66009 | 1.65307 | 1.64655 | 1.64048 | 1.63482 | 1.62953 | 1.62456 | 1.61990 | 1.61551 |
| 30 | 1.65902 | 1.65137 | 1.64430 | 1.63774 | 1.63163 | 1.62593 | 1.62060 | 1.61560 | 1.61090 | 1.60648 |
| 31 | 1.65091 | 1.64322 | 1.63611 | 1.62950 | 1.62336 | 1.61762 | 1.61225 | 1.60722 | 1.60249 | 1.59803 |
| 32 | 1.64333 | 1.63559 | 1.62844 | 1.62179 | 1.61561 | 1.60984 | 1.60443 | 1.59937 | 1.59460 | 1.59012 |
| 33 | 1.63621 | 1.62843 | 1.62124 | 1.61456 | 1.60833 | 1.60253 | 1.59709 | 1.59199 | 1.58720 | 1.58269 |
| 34 | 1.62951 | 1.62170 | 1.61447 | 1.60775 | 1.60149 | 1.59565 | 1.59018 | 1.58506 | 1.58023 | 1.57569 |
| 35 | 1.62321 | 1.61536 | 1.60809 | 1.60133 | 1.59505 | 1.58917 | 1.58368 | 1.57852 | 1.57367 | 1.56910 |
| 36 | 1.61726 | 1.60937 | 1.60207 | 1.59528 | 1.58896 | 1.58306 | 1.57753 | 1.57234 | 1.56747 | 1.56287 |
| 37 | 1.61163 | 1.60371 | 1.59637 | 1.58956 | 1.58320 | 1.57727 | 1.57172 | 1.56650 | 1.56160 | 1.55698 |
| 38 | 1.60631 | 1.59835 | 1.59098 | 1.58413 | 1.57775 | 1.57179 | 1.56621 | 1.56097 | 1.55604 | 1.55140 |
| 39 | 1.60126 | 1.59327 | 1.58587 | 1.57899 | 1.57258 | 1.56660 | 1.56099 | 1.55572 | 1.55077 | 1.54611 |
| 40 | 1.59647 | 1.58845 | 1.58102 | 1.57411 | 1.56767 | 1.56166 | 1.55603 | 1.55074 | 1.54576 | 1.54108 |
| 41 | 1.59191 | 1.58386 | 1.57640 | 1.56947 | 1.56301 | 1.55697 | 1.55131 | 1.54600 | 1.54100 | 1.53629 |
| 42 | 1.58757 | 1.57949 | 1.57201 | 1.56505 | 1.55856 | 1.55250 | 1.54682 | 1.54148 | 1.53646 | 1.53173 |
| 43 | 1.58344 | 1.57533 | 1.56782 | 1.56083 | 1.55432 | 1.54823 | 1.54253 | 1.53718 | 1.53214 | 1.52738 |
| 44 | 1.57949 | 1.57136 | 1.56382 | 1.55681 | 1.55028 | 1.54417 | 1.53844 | 1.53306 | 1.52800 | 1.52323 |
| 45 | 1.57572 | 1.56756 | 1.56000 | 1.55297 | 1.54641 | 1.54028 | 1.53453 | 1.52914 | 1.52406 | 1.51927 |
| 46 | 1.57212 | 1.56394 | 1.55635 | 1.54929 | 1.54271 | 1.53656 | 1.53079 | 1.52538 | 1.52028 | 1.51547 |
| 47 | 1.56867 | 1.56046 | 1.55285 | 1.54578 | 1.53917 | 1.53300 | 1.52721 | 1.52178 | 1.51666 | 1.51184 |
| 48 | 1.56537 | 1.55714 | 1.54950 | 1.54240 | 1.53578 | 1.52959 | 1.52378 | 1.51833 | 1.51319 | 1.50835 |
| 49 | 1.56220 | 1.55394 | 1.54629 | 1.53917 | 1.53253 | 1.52632 | 1.52049 | 1.51502 | 1.50987 | 1.50501 |
| 50 | 1.55916 | 1.55088 | 1.54321 | 1.53607 | 1.52940 | 1.52317 | 1.51733 | 1.51184 | 1.50667 | 1.50180 |
| Part IV: m = 31 to 40, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| 1 | 62.2990 | 62.3309 | 62.3609 | 62.3891 | 62.4157 | 62.4409 | 62.4647 | 62.4873 | 62.5087 | 62.5291 |
| 2 | 9.45900 | 9.46001 | 9.46095 | 9.46184 | 9.46268 | 9.46347 | 9.46422 | 9.46493 | 9.46560 | 9.46624 |
| 3 | 5.16704 | 5.16603 | 5.16508 | 5.16418 | 5.16333 | 5.16253 | 5.16177 | 5.16105 | 5.16037 | 5.15972 |
| 4 | 3.81565 | 3.81399 | 3.81243 | 3.81095 | 3.80956 | 3.80824 | 3.80700 | 3.80581 | 3.80469 | 3.80361 |
| 5 | 3.17194 | 3.16992 | 3.16803 | 3.16624 | 3.16455 | 3.16295 | 3.16143 | 3.15999 | 3.15862 | 3.15732 |
| 6 | 2.79756 | 2.79530 | 2.79317 | 2.79117 | 2.78927 | 2.78748 | 2.78578 | 2.78416 | 2.78263 | 2.78117 |
| 7 | 2.55286 | 2.55041 | 2.54811 | 2.54594 | 2.54388 | 2.54194 | 2.54010 | 2.53834 | 2.53668 | 2.53510 |
| 8 | 2.38025 | 2.37766 | 2.37521 | 2.37290 | 2.37071 | 2.36865 | 2.36668 | 2.36482 | 2.36305 | 2.36136 |
| 9 | 2.25182 | 2.24909 | 2.24652 | 2.24409 | 2.24180 | 2.23962 | 2.23756 | 2.23560 | 2.23373 | 2.23196 |
| 10 | 2.15241 | 2.14956 | 2.14688 | 2.14435 | 2.14196 | 2.13969 | 2.13754 | 2.13549 | 2.13354 | 2.13169 |
| 11 | 2.07309 | 2.07014 | 2.06737 | 2.06474 | 2.06226 | 2.05991 | 2.05767 | 2.05555 | 2.05353 | 2.05161 |
| 12 | 2.00827 | 2.00523 | 2.00237 | 1.99966 | 1.99710 | 1.99467 | 1.99236 | 1.99017 | 1.98809 | 1.98610 |
| 13 | 1.95426 | 1.95114 | 1.94820 | 1.94541 | 1.94278 | 1.94028 | 1.93791 | 1.93566 | 1.93351 | 1.93147 |
| 14 | 1.90854 | 1.90534 | 1.90232 | 1.89947 | 1.89677 | 1.89421 | 1.89178 | 1.88946 | 1.88726 | 1.88516 |
| 15 | 1.86931 | 1.86604 | 1.86295 | 1.86003 | 1.85727 | 1.85465 | 1.85216 | 1.84980 | 1.84754 | 1.84539 |
| 16 | 1.83525 | 1.83192 | 1.82877 | 1.82579 | 1.82297 | 1.82030 | 1.81776 | 1.81534 | 1.81304 | 1.81084 |
| 17 | 1.80541 | 1.80201 | 1.79881 | 1.79577 | 1.79290 | 1.79017 | 1.78758 | 1.78512 | 1.78277 | 1.78053 |
| 18 | 1.77902 | 1.77557 | 1.77231 | 1.76922 | 1.76630 | 1.76352 | 1.76089 | 1.75838 | 1.75599 | 1.75371 |
| 19 | 1.75552 | 1.75202 | 1.74870 | 1.74557 | 1.74260 | 1.73977 | 1.73709 | 1.73454 | 1.73211 | 1.72979 |
| 20 | 1.73445 | 1.73089 | 1.72753 | 1.72435 | 1.72133 | 1.71847 | 1.71575 | 1.71316 | 1.71069 | 1.70833 |
| 21 | 1.71545 | 1.71184 | 1.70843 | 1.70521 | 1.70215 | 1.69925 | 1.69648 | 1.69386 | 1.69135 | 1.68896 |
| 22 | 1.69821 | 1.69456 | 1.69111 | 1.68784 | 1.68475 | 1.68180 | 1.67901 | 1.67634 | 1.67380 | 1.67138 |
| 23 | 1.68251 | 1.67882 | 1.67533 | 1.67202 | 1.66889 | 1.66591 | 1.66307 | 1.66038 | 1.65781 | 1.65535 |
| 24 | 1.66815 | 1.66441 | 1.66088 | 1.65754 | 1.65437 | 1.65135 | 1.64849 | 1.64576 | 1.64316 | 1.64067 |
| 25 | 1.65495 | 1.65118 | 1.64761 | 1.64423 | 1.64102 | 1.63798 | 1.63508 | 1.63232 | 1.62969 | 1.62718 |
| 26 | 1.64278 | 1.63897 | 1.63537 | 1.63196 | 1.62872 | 1.62564 | 1.62271 | 1.61992 | 1.61726 | 1.61472 |
| 27 | 1.63153 | 1.62768 | 1.62405 | 1.62060 | 1.61733 | 1.61422 | 1.61127 | 1.60845 | 1.60576 | 1.60320 |
| 28 | 1.62109 | 1.61721 | 1.61354 | 1.61006 | 1.60676 | 1.60363 | 1.60064 | 1.59780 | 1.59509 | 1.59250 |
| 29 | 1.61137 | 1.60746 | 1.60376 | 1.60025 | 1.59693 | 1.59376 | 1.59075 | 1.58788 | 1.58514 | 1.58253 |
| 30 | 1.60231 | 1.59837 | 1.59464 | 1.59110 | 1.58775 | 1.58456 | 1.58152 | 1.57863 | 1.57587 | 1.57323 |
| 31 | 1.59383 | 1.58986 | 1.58610 | 1.58254 | 1.57916 | 1.57594 | 1.57288 | 1.56997 | 1.56718 | 1.56452 |
| 32 | 1.58589 | 1.58189 | 1.57811 | 1.57452 | 1.57111 | 1.56787 | 1.56479 | 1.56185 | 1.55904 | 1.55636 |
| 33 | 1.57843 | 1.57440 | 1.57059 | 1.56698 | 1.56355 | 1.56028 | 1.55718 | 1.55421 | 1.55139 | 1.54869 |
| 34 | 1.57141 | 1.56736 | 1.56352 | 1.55988 | 1.55643 | 1.55314 | 1.55001 | 1.54703 | 1.54418 | 1.54146 |
| 35 | 1.56479 | 1.56071 | 1.55685 | 1.55319 | 1.54971 | 1.54640 | 1.54326 | 1.54025 | 1.53739 | 1.53465 |
| 36 | 1.55854 | 1.55443 | 1.55055 | 1.54687 | 1.54337 | 1.54004 | 1.53687 | 1.53385 | 1.53096 | 1.52821 |
| 37 | 1.55262 | 1.54850 | 1.54459 | 1.54089 | 1.53737 | 1.53402 | 1.53083 | 1.52779 | 1.52488 | 1.52211 |
| 38 | 1.54702 | 1.54287 | 1.53894 | 1.53522 | 1.53168 | 1.52831 | 1.52510 | 1.52204 | 1.51912 | 1.51633 |
| 39 | 1.54170 | 1.53753 | 1.53358 | 1.52984 | 1.52628 | 1.52289 | 1.51967 | 1.51659 | 1.51365 | 1.51084 |
| 40 | 1.53665 | 1.53246 | 1.52849 | 1.52473 | 1.52115 | 1.51774 | 1.51450 | 1.51140 | 1.50845 | 1.50562 |
| 41 | 1.53184 | 1.52763 | 1.52364 | 1.51986 | 1.51626 | 1.51284 | 1.50958 | 1.50647 | 1.50350 | 1.50066 |
| 42 | 1.52726 | 1.52303 | 1.51903 | 1.51523 | 1.51161 | 1.50817 | 1.50489 | 1.50177 | 1.49878 | 1.49593 |
| 43 | 1.52290 | 1.51865 | 1.51462 | 1.51080 | 1.50717 | 1.50372 | 1.50042 | 1.49728 | 1.49428 | 1.49141 |
| 44 | 1.51873 | 1.51446 | 1.51042 | 1.50658 | 1.50293 | 1.49946 | 1.49615 | 1.49300 | 1.48998 | 1.48710 |
| 45 | 1.51474 | 1.51046 | 1.50640 | 1.50254 | 1.49888 | 1.49539 | 1.49207 | 1.48890 | 1.48587 | 1.48297 |
| 46 | 1.51093 | 1.50663 | 1.50255 | 1.49868 | 1.49500 | 1.49150 | 1.48816 | 1.48498 | 1.48193 | 1.47902 |
| 47 | 1.50727 | 1.50296 | 1.49887 | 1.49498 | 1.49129 | 1.48777 | 1.48442 | 1.48122 | 1.47816 | 1.47524 |
| 48 | 1.50377 | 1.49944 | 1.49533 | 1.49143 | 1.48773 | 1.48419 | 1.48083 | 1.47762 | 1.47455 | 1.47161 |
| 49 | 1.50041 | 1.49607 | 1.49194 | 1.48803 | 1.48431 | 1.48076 | 1.47738 | 1.47416 | 1.47107 | 1.46813 |
| 50 | 1.49719 | 1.49283 | 1.48869 | 1.48476 | 1.48102 | 1.47746 | 1.47407 | 1.47083 | 1.46774 | 1.46478 |
| Part V: m = 41 to 50, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| 1 | 62.5484 | 62.5669 | 62.5845 | 62.6013 | 62.6173 | 62.6327 | 62.6474 | 62.6615 | 62.6751 | 62.6881 |
| 2 | 9.46685 | 9.46743 | 9.46798 | 9.46851 | 9.46902 | 9.46950 | 9.46996 | 9.47040 | 9.47083 | 9.47124 |
| 3 | 5.15910 | 5.15851 | 5.15795 | 5.15741 | 5.15689 | 5.15640 | 5.15592 | 5.15547 | 5.15504 | 5.15462 |
| 4 | 3.80260 | 3.80162 | 3.80069 | 3.79981 | 3.79896 | 3.79815 | 3.79737 | 3.79662 | 3.79590 | 3.79522 |
| 5 | 3.15608 | 3.15490 | 3.15377 | 3.15270 | 3.15166 | 3.15068 | 3.14973 | 3.14882 | 3.14795 | 3.14711 |
| 6 | 2.77978 | 2.77845 | 2.77718 | 2.77597 | 2.77481 | 2.77370 | 2.77264 | 2.77161 | 2.77063 | 2.76969 |
| 7 | 2.53359 | 2.53215 | 2.53077 | 2.52945 | 2.52820 | 2.52699 | 2.52583 | 2.52472 | 2.52366 | 2.52263 |
| 8 | 2.35975 | 2.35822 | 2.35675 | 2.35535 | 2.35401 | 2.35272 | 2.35149 | 2.35031 | 2.34917 | 2.34808 |
| 9 | 2.23027 | 2.22865 | 2.22711 | 2.22563 | 2.22422 | 2.22286 | 2.22156 | 2.22032 | 2.21912 | 2.21797 |
| 10 | 2.12992 | 2.12824 | 2.12662 | 2.12508 | 2.12361 | 2.12219 | 2.12083 | 2.11953 | 2.11828 | 2.11707 |
| 11 | 2.04978 | 2.04802 | 2.04635 | 2.04475 | 2.04322 | 2.04175 | 2.04033 | 2.03898 | 2.03768 | 2.03643 |
| 12 | 1.98421 | 1.98240 | 1.98067 | 1.97901 | 1.97743 | 1.97591 | 1.97445 | 1.97305 | 1.97170 | 1.97040 |
| 13 | 1.92951 | 1.92765 | 1.92587 | 1.92416 | 1.92253 | 1.92096 | 1.91946 | 1.91802 | 1.91663 | 1.91529 |
| 14 | 1.88316 | 1.88125 | 1.87942 | 1.87767 | 1.87599 | 1.87438 | 1.87284 | 1.87135 | 1.86993 | 1.86855 |
| 15 | 1.84334 | 1.84138 | 1.83951 | 1.83771 | 1.83600 | 1.83435 | 1.83276 | 1.83124 | 1.82978 | 1.82837 |
| 16 | 1.80875 | 1.80674 | 1.80483 | 1.80299 | 1.80124 | 1.79955 | 1.79793 | 1.79638 | 1.79488 | 1.79344 |
| 17 | 1.77839 | 1.77635 | 1.77439 | 1.77252 | 1.77073 | 1.76901 | 1.76736 | 1.76577 | 1.76424 | 1.76277 |
| 18 | 1.75153 | 1.74945 | 1.74746 | 1.74555 | 1.74372 | 1.74197 | 1.74028 | 1.73867 | 1.73711 | 1.73561 |
| 19 | 1.72758 | 1.72546 | 1.72344 | 1.72150 | 1.71964 | 1.71785 | 1.71614 | 1.71449 | 1.71290 | 1.71138 |
| 20 | 1.70608 | 1.70393 | 1.70188 | 1.69990 | 1.69801 | 1.69620 | 1.69446 | 1.69278 | 1.69117 | 1.68962 |
| 21 | 1.68668 | 1.68450 | 1.68241 | 1.68041 | 1.67849 | 1.67664 | 1.67487 | 1.67317 | 1.67153 | 1.66996 |
| 22 | 1.66907 | 1.66685 | 1.66474 | 1.66270 | 1.66076 | 1.65889 | 1.65709 | 1.65537 | 1.65370 | 1.65210 |
| 23 | 1.65301 | 1.65076 | 1.64862 | 1.64656 | 1.64459 | 1.64269 | 1.64087 | 1.63912 | 1.63744 | 1.63581 |
| 24 | 1.63830 | 1.63603 | 1.63385 | 1.63177 | 1.62977 | 1.62785 | 1.62601 | 1.62424 | 1.62253 | 1.62089 |
| 25 | 1.62478 | 1.62248 | 1.62028 | 1.61817 | 1.61615 | 1.61421 | 1.61234 | 1.61054 | 1.60882 | 1.60715 |
| 26 | 1.61230 | 1.60998 | 1.60775 | 1.60562 | 1.60357 | 1.60161 | 1.59972 | 1.59790 | 1.59616 | 1.59447 |
| 27 | 1.60075 | 1.59840 | 1.59615 | 1.59400 | 1.59193 | 1.58994 | 1.58803 | 1.58620 | 1.58443 | 1.58273 |
| 28 | 1.59002 | 1.58765 | 1.58538 | 1.58320 | 1.58111 | 1.57911 | 1.57718 | 1.57532 | 1.57354 | 1.57182 |
| 29 | 1.58003 | 1.57764 | 1.57535 | 1.57315 | 1.57104 | 1.56901 | 1.56707 | 1.56519 | 1.56339 | 1.56165 |
| 30 | 1.57071 | 1.56829 | 1.56598 | 1.56376 | 1.56163 | 1.55959 | 1.55762 | 1.55573 | 1.55391 | 1.55215 |
| 31 | 1.56198 | 1.55955 | 1.55721 | 1.55498 | 1.55283 | 1.55077 | 1.54878 | 1.54687 | 1.54504 | 1.54326 |
| 32 | 1.55380 | 1.55134 | 1.54899 | 1.54673 | 1.54457 | 1.54249 | 1.54049 | 1.53856 | 1.53671 | 1.53492 |
| 33 | 1.54610 | 1.54363 | 1.54126 | 1.53899 | 1.53680 | 1.53471 | 1.53269 | 1.53075 | 1.52888 | 1.52708 |
| 34 | 1.53886 | 1.53637 | 1.53398 | 1.53169 | 1.52949 | 1.52738 | 1.52534 | 1.52339 | 1.52150 | 1.51968 |
| 35 | 1.53203 | 1.52952 | 1.52711 | 1.52480 | 1.52259 | 1.52046 | 1.51841 | 1.51644 | 1.51454 | 1.51271 |
| 36 | 1.52557 | 1.52304 | 1.52062 | 1.51829 | 1.51606 | 1.51392 | 1.51185 | 1.50987 | 1.50795 | 1.50611 |
| 37 | 1.51945 | 1.51691 | 1.51447 | 1.51213 | 1.50988 | 1.50772 | 1.50565 | 1.50365 | 1.50172 | 1.49986 |
| 38 | 1.51366 | 1.51110 | 1.50864 | 1.50629 | 1.50403 | 1.50185 | 1.49976 | 1.49775 | 1.49581 | 1.49394 |
| 39 | 1.50815 | 1.50558 | 1.50311 | 1.50074 | 1.49846 | 1.49628 | 1.49417 | 1.49214 | 1.49019 | 1.48831 |
| 40 | 1.50292 | 1.50033 | 1.49785 | 1.49546 | 1.49317 | 1.49097 | 1.48885 | 1.48682 | 1.48485 | 1.48296 |
| 41 | 1.49794 | 1.49534 | 1.49284 | 1.49044 | 1.48814 | 1.48592 | 1.48379 | 1.48174 | 1.47976 | 1.47786 |
| 42 | 1.49319 | 1.49057 | 1.48806 | 1.48565 | 1.48334 | 1.48111 | 1.47897 | 1.47690 | 1.47491 | 1.47300 |
| 43 | 1.48866 | 1.48603 | 1.48351 | 1.48108 | 1.47875 | 1.47651 | 1.47436 | 1.47228 | 1.47028 | 1.46835 |
| 44 | 1.48434 | 1.48169 | 1.47915 | 1.47672 | 1.47437 | 1.47212 | 1.46996 | 1.46787 | 1.46586 | 1.46392 |
| 45 | 1.48020 | 1.47754 | 1.47499 | 1.47254 | 1.47019 | 1.46792 | 1.46575 | 1.46365 | 1.46163 | 1.45968 |
| 46 | 1.47623 | 1.47356 | 1.47100 | 1.46854 | 1.46618 | 1.46390 | 1.46171 | 1.45961 | 1.45757 | 1.45561 |
| 47 | 1.47244 | 1.46975 | 1.46718 | 1.46471 | 1.46233 | 1.46005 | 1.45785 | 1.45573 | 1.45369 | 1.45172 |
| 48 | 1.46880 | 1.46610 | 1.46352 | 1.46103 | 1.45865 | 1.45635 | 1.45414 | 1.45201 | 1.44996 | 1.44798 |
| 49 | 1.46530 | 1.46259 | 1.46000 | 1.45750 | 1.45511 | 1.45280 | 1.45058 | 1.44844 | 1.44638 | 1.44439 |
| 50 | 1.46194 | 1.45923 | 1.45662 | 1.45411 | 1.45171 | 1.44939 | 1.44716 | 1.44501 | 1.44294 | 1.44094 |
Tabulated by S L C Saw
