This page shows the logarithm table for base 431, in blocks of 100 values — each block covers one whole number N (its row lists N.0 through N.9, and each row's 10 columns walk the hundredths digit 0 through 9). Hover any cell to trace it back to its row and column, or print a block directly from its own header.
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| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 1.0 | 0.000000 | 0.001640 | 0.003264 | 0.004873 | 0.006466 | 0.008043 | 0.009606 | 0.011154 | 0.012687 | 0.014206 |
| 1.1 | 0.015712 | 0.017204 | 0.018682 | 0.020148 | 0.021600 | 0.023040 | 0.024467 | 0.025882 | 0.027285 | 0.028676 |
| 1.2 | 0.030056 | 0.031424 | 0.032781 | 0.034126 | 0.035461 | 0.036785 | 0.038099 | 0.039402 | 0.040695 | 0.041978 |
| 1.3 | 0.043251 | 0.044514 | 0.045768 | 0.047012 | 0.048247 | 0.049472 | 0.050689 | 0.051897 | 0.053096 | 0.054286 |
| 1.4 | 0.055468 | 0.056641 | 0.057806 | 0.058963 | 0.060112 | 0.061252 | 0.062385 | 0.063511 | 0.064628 | 0.065738 |
| 1.5 | 0.066841 | 0.067936 | 0.069025 | 0.070106 | 0.071179 | 0.072246 | 0.073307 | 0.074360 | 0.075407 | 0.076447 |
| 1.6 | 0.077480 | 0.078507 | 0.079528 | 0.080543 | 0.081551 | 0.082553 | 0.083549 | 0.084539 | 0.085523 | 0.086502 |
| 1.7 | 0.087474 | 0.088441 | 0.089402 | 0.090358 | 0.091308 | 0.092253 | 0.093192 | 0.094126 | 0.095055 | 0.095978 |
| 1.8 | 0.096897 | 0.097810 | 0.098718 | 0.099622 | 0.100520 | 0.101414 | 0.102302 | 0.103186 | 0.104065 | 0.104940 |
| 1.9 | 0.105810 | 0.106675 | 0.107536 | 0.108392 | 0.109244 | 0.110092 | 0.110935 | 0.111774 | 0.112609 | 0.113439 |
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| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 2.0 | 0.114266 | 0.115088 | 0.115906 | 0.116720 | 0.117530 | 0.118336 | 0.119138 | 0.119937 | 0.120731 | 0.121522 |
| 2.1 | 0.122309 | 0.123092 | 0.123871 | 0.124647 | 0.125419 | 0.126188 | 0.126953 | 0.127714 | 0.128472 | 0.129226 |
| 2.2 | 0.129977 | 0.130725 | 0.131469 | 0.132210 | 0.132948 | 0.133682 | 0.134413 | 0.135141 | 0.135866 | 0.136587 |
| 2.3 | 0.137305 | 0.138021 | 0.138733 | 0.139442 | 0.140148 | 0.140851 | 0.141551 | 0.142248 | 0.142942 | 0.143633 |
| 2.4 | 0.144321 | 0.145007 | 0.145689 | 0.146369 | 0.147046 | 0.147720 | 0.148392 | 0.149061 | 0.149727 | 0.150390 |
| 2.5 | 0.151051 | 0.151709 | 0.152364 | 0.153017 | 0.153668 | 0.154315 | 0.154961 | 0.155603 | 0.156243 | 0.156881 |
| 2.6 | 0.157516 | 0.158149 | 0.158780 | 0.159408 | 0.160033 | 0.160656 | 0.161277 | 0.161896 | 0.162512 | 0.163126 |
| 2.7 | 0.163738 | 0.164347 | 0.164955 | 0.165559 | 0.166162 | 0.166763 | 0.167361 | 0.167957 | 0.168551 | 0.169143 |
| 2.8 | 0.169733 | 0.170321 | 0.170906 | 0.171490 | 0.172071 | 0.172651 | 0.173228 | 0.173804 | 0.174377 | 0.174948 |
| 2.9 | 0.175518 | 0.176085 | 0.176651 | 0.177215 | 0.177776 | 0.178336 | 0.178894 | 0.179450 | 0.180004 | 0.180556 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 3.0 | 0.181107 | 0.181655 | 0.182202 | 0.182747 | 0.183290 | 0.183831 | 0.184371 | 0.184909 | 0.185445 | 0.185979 |
| 3.1 | 0.186512 | 0.187043 | 0.187572 | 0.188100 | 0.188626 | 0.189150 | 0.189672 | 0.190193 | 0.190712 | 0.191230 |
| 3.2 | 0.191746 | 0.192260 | 0.192773 | 0.193284 | 0.193794 | 0.194302 | 0.194808 | 0.195313 | 0.195816 | 0.196318 |
| 3.3 | 0.196819 | 0.197317 | 0.197815 | 0.198310 | 0.198805 | 0.199298 | 0.199789 | 0.200279 | 0.200767 | 0.201254 |
| 3.4 | 0.201740 | 0.202224 | 0.202707 | 0.203188 | 0.203668 | 0.204146 | 0.204624 | 0.205099 | 0.205574 | 0.206047 |
| 3.5 | 0.206518 | 0.206989 | 0.207458 | 0.207925 | 0.208392 | 0.208857 | 0.209320 | 0.209783 | 0.210244 | 0.210704 |
| 3.6 | 0.211162 | 0.211620 | 0.212076 | 0.212530 | 0.212984 | 0.213436 | 0.213887 | 0.214337 | 0.214786 | 0.215233 |
| 3.7 | 0.215679 | 0.216124 | 0.216568 | 0.217010 | 0.217452 | 0.217892 | 0.218331 | 0.218769 | 0.219205 | 0.219641 |
| 3.8 | 0.220075 | 0.220509 | 0.220941 | 0.221372 | 0.221802 | 0.222230 | 0.222658 | 0.223084 | 0.223510 | 0.223934 |
| 3.9 | 0.224357 | 0.224780 | 0.225201 | 0.225621 | 0.226040 | 0.226457 | 0.226874 | 0.227290 | 0.227705 | 0.228118 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 4.0 | 0.228531 | 0.228943 | 0.229353 | 0.229763 | 0.230171 | 0.230579 | 0.230985 | 0.231391 | 0.231796 | 0.232199 |
| 4.1 | 0.232602 | 0.233003 | 0.233404 | 0.233804 | 0.234202 | 0.234600 | 0.234997 | 0.235392 | 0.235787 | 0.236181 |
| 4.2 | 0.236574 | 0.236966 | 0.237357 | 0.237747 | 0.238137 | 0.238525 | 0.238913 | 0.239299 | 0.239685 | 0.240069 |
| 4.3 | 0.240453 | 0.240836 | 0.241218 | 0.241599 | 0.241980 | 0.242359 | 0.242738 | 0.243115 | 0.243492 | 0.243868 |
| 4.4 | 0.244243 | 0.244617 | 0.244991 | 0.245363 | 0.245735 | 0.246106 | 0.246476 | 0.246845 | 0.247213 | 0.247581 |
| 4.5 | 0.247948 | 0.248314 | 0.248679 | 0.249043 | 0.249407 | 0.249769 | 0.250131 | 0.250492 | 0.250853 | 0.251212 |
| 4.6 | 0.251571 | 0.251929 | 0.252286 | 0.252643 | 0.252998 | 0.253353 | 0.253707 | 0.254061 | 0.254413 | 0.254765 |
| 4.7 | 0.255116 | 0.255467 | 0.255816 | 0.256165 | 0.256513 | 0.256861 | 0.257207 | 0.257553 | 0.257899 | 0.258243 |
| 4.8 | 0.258587 | 0.258930 | 0.259272 | 0.259614 | 0.259955 | 0.260295 | 0.260635 | 0.260974 | 0.261312 | 0.261649 |
| 4.9 | 0.261986 | 0.262322 | 0.262657 | 0.262992 | 0.263326 | 0.263660 | 0.263992 | 0.264324 | 0.264656 | 0.264986 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 5.0 | 0.265316 | 0.265646 | 0.265974 | 0.266303 | 0.266630 | 0.266957 | 0.267283 | 0.267608 | 0.267933 | 0.268257 |
| 5.1 | 0.268581 | 0.268904 | 0.269226 | 0.269548 | 0.269869 | 0.270189 | 0.270509 | 0.270828 | 0.271147 | 0.271465 |
| 5.2 | 0.271782 | 0.272099 | 0.272415 | 0.272730 | 0.273045 | 0.273359 | 0.273673 | 0.273986 | 0.274299 | 0.274611 |
| 5.3 | 0.274922 | 0.275233 | 0.275543 | 0.275853 | 0.276162 | 0.276470 | 0.276778 | 0.277085 | 0.277392 | 0.277698 |
| 5.4 | 0.278003 | 0.278308 | 0.278613 | 0.278917 | 0.279220 | 0.279523 | 0.279825 | 0.280127 | 0.280428 | 0.280728 |
| 5.5 | 0.281028 | 0.281328 | 0.281627 | 0.281925 | 0.282223 | 0.282520 | 0.282817 | 0.283113 | 0.283409 | 0.283704 |
| 5.6 | 0.283999 | 0.284293 | 0.284586 | 0.284879 | 0.285172 | 0.285464 | 0.285756 | 0.286047 | 0.286337 | 0.286627 |
| 5.7 | 0.286916 | 0.287205 | 0.287494 | 0.287782 | 0.288069 | 0.288356 | 0.288643 | 0.288929 | 0.289214 | 0.289499 |
| 5.8 | 0.289783 | 0.290067 | 0.290351 | 0.290634 | 0.290916 | 0.291199 | 0.291480 | 0.291761 | 0.292042 | 0.292322 |
| 5.9 | 0.292602 | 0.292881 | 0.293159 | 0.293438 | 0.293715 | 0.293993 | 0.294269 | 0.294546 | 0.294822 | 0.295097 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 6.0 | 0.295372 | 0.295647 | 0.295921 | 0.296194 | 0.296468 | 0.296740 | 0.297012 | 0.297284 | 0.297556 | 0.297827 |
| 6.1 | 0.298097 | 0.298367 | 0.298637 | 0.298906 | 0.299174 | 0.299443 | 0.299711 | 0.299978 | 0.300245 | 0.300511 |
| 6.2 | 0.300778 | 0.301043 | 0.301308 | 0.301573 | 0.301838 | 0.302102 | 0.302365 | 0.302628 | 0.302891 | 0.303153 |
| 6.3 | 0.303415 | 0.303677 | 0.303938 | 0.304198 | 0.304459 | 0.304718 | 0.304978 | 0.305237 | 0.305495 | 0.305754 |
| 6.4 | 0.306011 | 0.306269 | 0.306526 | 0.306782 | 0.307038 | 0.307294 | 0.307550 | 0.307805 | 0.308059 | 0.308313 |
| 6.5 | 0.308567 | 0.308821 | 0.309074 | 0.309326 | 0.309579 | 0.309830 | 0.310082 | 0.310333 | 0.310584 | 0.310834 |
| 6.6 | 0.311084 | 0.311334 | 0.311583 | 0.311832 | 0.312080 | 0.312328 | 0.312576 | 0.312823 | 0.313070 | 0.313317 |
| 6.7 | 0.313563 | 0.313809 | 0.314054 | 0.314300 | 0.314544 | 0.314789 | 0.315033 | 0.315276 | 0.315520 | 0.315763 |
| 6.8 | 0.316005 | 0.316248 | 0.316489 | 0.316731 | 0.316972 | 0.317213 | 0.317454 | 0.317694 | 0.317933 | 0.318173 |
| 6.9 | 0.318412 | 0.318651 | 0.318889 | 0.319127 | 0.319365 | 0.319602 | 0.319839 | 0.320076 | 0.320312 | 0.320548 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 7.0 | 0.320784 | 0.321019 | 0.321254 | 0.321489 | 0.321723 | 0.321957 | 0.322191 | 0.322424 | 0.322657 | 0.322890 |
| 7.1 | 0.323122 | 0.323354 | 0.323586 | 0.323817 | 0.324048 | 0.324279 | 0.324510 | 0.324740 | 0.324969 | 0.325199 |
| 7.2 | 0.325428 | 0.325657 | 0.325885 | 0.326113 | 0.326341 | 0.326569 | 0.326796 | 0.327023 | 0.327250 | 0.327476 |
| 7.3 | 0.327702 | 0.327927 | 0.328153 | 0.328378 | 0.328603 | 0.328827 | 0.329051 | 0.329275 | 0.329499 | 0.329722 |
| 7.4 | 0.329945 | 0.330167 | 0.330390 | 0.330612 | 0.330833 | 0.331055 | 0.331276 | 0.331497 | 0.331717 | 0.331938 |
| 7.5 | 0.332157 | 0.332377 | 0.332596 | 0.332816 | 0.333034 | 0.333253 | 0.333471 | 0.333689 | 0.333907 | 0.334124 |
| 7.6 | 0.334341 | 0.334558 | 0.334774 | 0.334990 | 0.335206 | 0.335422 | 0.335637 | 0.335852 | 0.336067 | 0.336282 |
| 7.7 | 0.336496 | 0.336710 | 0.336923 | 0.337137 | 0.337350 | 0.337563 | 0.337775 | 0.337988 | 0.338200 | 0.338412 |
| 7.8 | 0.338623 | 0.338834 | 0.339045 | 0.339256 | 0.339466 | 0.339676 | 0.339886 | 0.340096 | 0.340305 | 0.340514 |
| 7.9 | 0.340723 | 0.340932 | 0.341140 | 0.341348 | 0.341556 | 0.341763 | 0.341970 | 0.342177 | 0.342384 | 0.342590 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 8.0 | 0.342797 | 0.343003 | 0.343208 | 0.343414 | 0.343619 | 0.343824 | 0.344028 | 0.344233 | 0.344437 | 0.344641 |
| 8.1 | 0.344845 | 0.345048 | 0.345251 | 0.345454 | 0.345657 | 0.345859 | 0.346061 | 0.346263 | 0.346465 | 0.346666 |
| 8.2 | 0.346867 | 0.347068 | 0.347269 | 0.347469 | 0.347669 | 0.347869 | 0.348069 | 0.348269 | 0.348468 | 0.348667 |
| 8.3 | 0.348865 | 0.349064 | 0.349262 | 0.349460 | 0.349658 | 0.349856 | 0.350053 | 0.350250 | 0.350447 | 0.350643 |
| 8.4 | 0.350840 | 0.351036 | 0.351232 | 0.351427 | 0.351623 | 0.351818 | 0.352013 | 0.352208 | 0.352402 | 0.352597 |
| 8.5 | 0.352791 | 0.352984 | 0.353178 | 0.353371 | 0.353565 | 0.353758 | 0.353950 | 0.354143 | 0.354335 | 0.354527 |
| 8.6 | 0.354719 | 0.354910 | 0.355102 | 0.355293 | 0.355484 | 0.355674 | 0.355865 | 0.356055 | 0.356245 | 0.356435 |
| 8.7 | 0.356625 | 0.356814 | 0.357003 | 0.357192 | 0.357381 | 0.357569 | 0.357758 | 0.357946 | 0.358133 | 0.358321 |
| 8.8 | 0.358509 | 0.358696 | 0.358883 | 0.359070 | 0.359256 | 0.359443 | 0.359629 | 0.359815 | 0.360000 | 0.360186 |
| 8.9 | 0.360371 | 0.360556 | 0.360741 | 0.360926 | 0.361111 | 0.361295 | 0.361479 | 0.361663 | 0.361846 | 0.362030 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 9.0 | 0.362213 | 0.362396 | 0.362579 | 0.362762 | 0.362944 | 0.363127 | 0.363309 | 0.363490 | 0.363672 | 0.363854 |
| 9.1 | 0.364035 | 0.364216 | 0.364397 | 0.364577 | 0.364758 | 0.364938 | 0.365118 | 0.365298 | 0.365478 | 0.365657 |
| 9.2 | 0.365836 | 0.366016 | 0.366194 | 0.366373 | 0.366552 | 0.366730 | 0.366908 | 0.367086 | 0.367264 | 0.367441 |
| 9.3 | 0.367619 | 0.367796 | 0.367973 | 0.368150 | 0.368326 | 0.368503 | 0.368679 | 0.368855 | 0.369031 | 0.369206 |
| 9.4 | 0.369382 | 0.369557 | 0.369732 | 0.369907 | 0.370082 | 0.370256 | 0.370431 | 0.370605 | 0.370779 | 0.370953 |
| 9.5 | 0.371126 | 0.371300 | 0.371473 | 0.371646 | 0.371819 | 0.371992 | 0.372164 | 0.372336 | 0.372509 | 0.372681 |
| 9.6 | 0.372852 | 0.373024 | 0.373196 | 0.373367 | 0.373538 | 0.373709 | 0.373880 | 0.374050 | 0.374220 | 0.374391 |
| 9.7 | 0.374561 | 0.374731 | 0.374900 | 0.375070 | 0.375239 | 0.375408 | 0.375577 | 0.375746 | 0.375915 | 0.376083 |
| 9.8 | 0.376252 | 0.376420 | 0.376588 | 0.376755 | 0.376923 | 0.377090 | 0.377258 | 0.377425 | 0.377592 | 0.377759 |
| 9.9 | 0.377925 | 0.378092 | 0.378258 | 0.378424 | 0.378590 | 0.378756 | 0.378921 | 0.379087 | 0.379252 | 0.379417 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 10.0 | 0.379582 | 0.379747 | 0.379911 | 0.380076 | 0.380240 | 0.380404 | 0.380568 | 0.380732 | 0.380895 | 0.381059 |
| 10.1 | 0.381222 | 0.381385 | 0.381548 | 0.381711 | 0.381874 | 0.382036 | 0.382199 | 0.382361 | 0.382523 | 0.382685 |
| 10.2 | 0.382846 | 0.383008 | 0.383169 | 0.383331 | 0.383492 | 0.383653 | 0.383813 | 0.383974 | 0.384134 | 0.384295 |
| 10.3 | 0.384455 | 0.384615 | 0.384775 | 0.384934 | 0.385094 | 0.385253 | 0.385412 | 0.385571 | 0.385730 | 0.385889 |
| 10.4 | 0.386047 | 0.386206 | 0.386364 | 0.386522 | 0.386680 | 0.386838 | 0.386996 | 0.387153 | 0.387311 | 0.387468 |
| 10.5 | 0.387625 | 0.387782 | 0.387939 | 0.388095 | 0.388252 | 0.388408 | 0.388564 | 0.388720 | 0.388876 | 0.389032 |
| 10.6 | 0.389188 | 0.389343 | 0.389498 | 0.389653 | 0.389808 | 0.389963 | 0.390118 | 0.390273 | 0.390427 | 0.390581 |
| 10.7 | 0.390735 | 0.390889 | 0.391043 | 0.391197 | 0.391351 | 0.391504 | 0.391657 | 0.391810 | 0.391963 | 0.392116 |
| 10.8 | 0.392269 | 0.392422 | 0.392574 | 0.392726 | 0.392878 | 0.393030 | 0.393182 | 0.393334 | 0.393486 | 0.393637 |
| 10.9 | 0.393788 | 0.393940 | 0.394091 | 0.394241 | 0.394392 | 0.394543 | 0.394693 | 0.394844 | 0.394994 | 0.395144 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 11.0 | 0.395294 | 0.395444 | 0.395593 | 0.395743 | 0.395892 | 0.396041 | 0.396191 | 0.396340 | 0.396488 | 0.396637 |
| 11.1 | 0.396786 | 0.396934 | 0.397082 | 0.397231 | 0.397379 | 0.397527 | 0.397674 | 0.397822 | 0.397970 | 0.398117 |
| 11.2 | 0.398264 | 0.398411 | 0.398558 | 0.398705 | 0.398852 | 0.398999 | 0.399145 | 0.399291 | 0.399438 | 0.399584 |
| 11.3 | 0.399730 | 0.399875 | 0.400021 | 0.400167 | 0.400312 | 0.400457 | 0.400603 | 0.400748 | 0.400893 | 0.401037 |
| 11.4 | 0.401182 | 0.401327 | 0.401471 | 0.401615 | 0.401759 | 0.401903 | 0.402047 | 0.402191 | 0.402335 | 0.402478 |
| 11.5 | 0.402622 | 0.402765 | 0.402908 | 0.403051 | 0.403194 | 0.403337 | 0.403480 | 0.403622 | 0.403765 | 0.403907 |
| 11.6 | 0.404049 | 0.404191 | 0.404333 | 0.404475 | 0.404617 | 0.404758 | 0.404900 | 0.405041 | 0.405182 | 0.405323 |
| 11.7 | 0.405464 | 0.405605 | 0.405746 | 0.405886 | 0.406027 | 0.406167 | 0.406307 | 0.406447 | 0.406587 | 0.406727 |
| 11.8 | 0.406867 | 0.407007 | 0.407146 | 0.407286 | 0.407425 | 0.407564 | 0.407703 | 0.407842 | 0.407981 | 0.408120 |
| 11.9 | 0.408258 | 0.408397 | 0.408535 | 0.408673 | 0.408811 | 0.408949 | 0.409087 | 0.409225 | 0.409363 | 0.409500 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 12.0 | 0.409638 | 0.409775 | 0.409912 | 0.410049 | 0.410186 | 0.410323 | 0.410460 | 0.410597 | 0.410733 | 0.410869 |
| 12.1 | 0.411006 | 0.411142 | 0.411278 | 0.411414 | 0.411550 | 0.411686 | 0.411821 | 0.411957 | 0.412092 | 0.412227 |
| 12.2 | 0.412363 | 0.412498 | 0.412633 | 0.412767 | 0.412902 | 0.413037 | 0.413171 | 0.413306 | 0.413440 | 0.413574 |
| 12.3 | 0.413708 | 0.413842 | 0.413976 | 0.414110 | 0.414244 | 0.414377 | 0.414510 | 0.414644 | 0.414777 | 0.414910 |
| 12.4 | 0.415043 | 0.415176 | 0.415309 | 0.415441 | 0.415574 | 0.415707 | 0.415839 | 0.415971 | 0.416103 | 0.416235 |
| 12.5 | 0.416367 | 0.416499 | 0.416631 | 0.416762 | 0.416894 | 0.417025 | 0.417157 | 0.417288 | 0.417419 | 0.417550 |
| 12.6 | 0.417681 | 0.417812 | 0.417942 | 0.418073 | 0.418203 | 0.418334 | 0.418464 | 0.418594 | 0.418724 | 0.418854 |
| 12.7 | 0.418984 | 0.419114 | 0.419243 | 0.419373 | 0.419502 | 0.419632 | 0.419761 | 0.419890 | 0.420019 | 0.420148 |
| 12.8 | 0.420277 | 0.420406 | 0.420534 | 0.420663 | 0.420791 | 0.420920 | 0.421048 | 0.421176 | 0.421304 | 0.421432 |
| 12.9 | 0.421560 | 0.421688 | 0.421815 | 0.421943 | 0.422070 | 0.422198 | 0.422325 | 0.422452 | 0.422579 | 0.422706 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 13.0 | 0.422833 | 0.422960 | 0.423086 | 0.423213 | 0.423339 | 0.423466 | 0.423592 | 0.423718 | 0.423844 | 0.423970 |
| 13.1 | 0.424096 | 0.424222 | 0.424347 | 0.424473 | 0.424599 | 0.424724 | 0.424849 | 0.424975 | 0.425100 | 0.425225 |
| 13.2 | 0.425350 | 0.425474 | 0.425599 | 0.425724 | 0.425848 | 0.425973 | 0.426097 | 0.426222 | 0.426346 | 0.426470 |
| 13.3 | 0.426594 | 0.426718 | 0.426841 | 0.426965 | 0.427089 | 0.427212 | 0.427336 | 0.427459 | 0.427582 | 0.427706 |
| 13.4 | 0.427829 | 0.427952 | 0.428074 | 0.428197 | 0.428320 | 0.428443 | 0.428565 | 0.428688 | 0.428810 | 0.428932 |
| 13.5 | 0.429054 | 0.429176 | 0.429298 | 0.429420 | 0.429542 | 0.429664 | 0.429785 | 0.429907 | 0.430028 | 0.430150 |
| 13.6 | 0.430271 | 0.430392 | 0.430513 | 0.430634 | 0.430755 | 0.430876 | 0.430997 | 0.431117 | 0.431238 | 0.431358 |
| 13.7 | 0.431479 | 0.431599 | 0.431719 | 0.431839 | 0.431959 | 0.432079 | 0.432199 | 0.432319 | 0.432438 | 0.432558 |
| 13.8 | 0.432678 | 0.432797 | 0.432916 | 0.433035 | 0.433155 | 0.433274 | 0.433393 | 0.433512 | 0.433630 | 0.433749 |
| 13.9 | 0.433868 | 0.433986 | 0.434105 | 0.434223 | 0.434341 | 0.434460 | 0.434578 | 0.434696 | 0.434814 | 0.434932 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 14.0 | 0.435050 | 0.435167 | 0.435285 | 0.435402 | 0.435520 | 0.435637 | 0.435754 | 0.435872 | 0.435989 | 0.436106 |
| 14.1 | 0.436223 | 0.436340 | 0.436456 | 0.436573 | 0.436690 | 0.436806 | 0.436923 | 0.437039 | 0.437156 | 0.437272 |
| 14.2 | 0.437388 | 0.437504 | 0.437620 | 0.437736 | 0.437852 | 0.437967 | 0.438083 | 0.438198 | 0.438314 | 0.438429 |
| 14.3 | 0.438545 | 0.438660 | 0.438775 | 0.438890 | 0.439005 | 0.439120 | 0.439235 | 0.439350 | 0.439464 | 0.439579 |
| 14.4 | 0.439693 | 0.439808 | 0.439922 | 0.440037 | 0.440151 | 0.440265 | 0.440379 | 0.440493 | 0.440607 | 0.440721 |
| 14.5 | 0.440834 | 0.440948 | 0.441062 | 0.441175 | 0.441288 | 0.441402 | 0.441515 | 0.441628 | 0.441741 | 0.441854 |
| 14.6 | 0.441967 | 0.442080 | 0.442193 | 0.442306 | 0.442418 | 0.442531 | 0.442643 | 0.442756 | 0.442868 | 0.442980 |
| 14.7 | 0.443093 | 0.443205 | 0.443317 | 0.443429 | 0.443541 | 0.443652 | 0.443764 | 0.443876 | 0.443987 | 0.444099 |
| 14.8 | 0.444210 | 0.444322 | 0.444433 | 0.444544 | 0.444655 | 0.444766 | 0.444877 | 0.444988 | 0.445099 | 0.445210 |
| 14.9 | 0.445320 | 0.445431 | 0.445541 | 0.445652 | 0.445762 | 0.445873 | 0.445983 | 0.446093 | 0.446203 | 0.446313 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 15.0 | 0.446423 | 0.446533 | 0.446643 | 0.446752 | 0.446862 | 0.446972 | 0.447081 | 0.447191 | 0.447300 | 0.447409 |
| 15.1 | 0.447518 | 0.447627 | 0.447737 | 0.447846 | 0.447954 | 0.448063 | 0.448172 | 0.448281 | 0.448389 | 0.448498 |
| 15.2 | 0.448606 | 0.448715 | 0.448823 | 0.448932 | 0.449040 | 0.449148 | 0.449256 | 0.449364 | 0.449472 | 0.449580 |
| 15.3 | 0.449687 | 0.449795 | 0.449903 | 0.450010 | 0.450118 | 0.450225 | 0.450333 | 0.450440 | 0.450547 | 0.450654 |
| 15.4 | 0.450761 | 0.450868 | 0.450975 | 0.451082 | 0.451189 | 0.451296 | 0.451402 | 0.451509 | 0.451616 | 0.451722 |
| 15.5 | 0.451828 | 0.451935 | 0.452041 | 0.452147 | 0.452253 | 0.452359 | 0.452465 | 0.452571 | 0.452677 | 0.452783 |
| 15.6 | 0.452889 | 0.452994 | 0.453100 | 0.453205 | 0.453311 | 0.453416 | 0.453521 | 0.453627 | 0.453732 | 0.453837 |
| 15.7 | 0.453942 | 0.454047 | 0.454152 | 0.454257 | 0.454361 | 0.454466 | 0.454571 | 0.454675 | 0.454780 | 0.454884 |
| 15.8 | 0.454989 | 0.455093 | 0.455197 | 0.455301 | 0.455405 | 0.455509 | 0.455613 | 0.455717 | 0.455821 | 0.455925 |
| 15.9 | 0.456029 | 0.456132 | 0.456236 | 0.456339 | 0.456443 | 0.456546 | 0.456650 | 0.456753 | 0.456856 | 0.456959 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 16.0 | 0.457062 | 0.457165 | 0.457268 | 0.457371 | 0.457474 | 0.457577 | 0.457679 | 0.457782 | 0.457884 | 0.457987 |
| 16.1 | 0.458089 | 0.458192 | 0.458294 | 0.458396 | 0.458498 | 0.458600 | 0.458703 | 0.458804 | 0.458906 | 0.459008 |
| 16.2 | 0.459110 | 0.459212 | 0.459313 | 0.459415 | 0.459517 | 0.459618 | 0.459719 | 0.459821 | 0.459922 | 0.460023 |
| 16.3 | 0.460125 | 0.460226 | 0.460327 | 0.460428 | 0.460529 | 0.460629 | 0.460730 | 0.460831 | 0.460932 | 0.461032 |
| 16.4 | 0.461133 | 0.461233 | 0.461334 | 0.461434 | 0.461534 | 0.461635 | 0.461735 | 0.461835 | 0.461935 | 0.462035 |
| 16.5 | 0.462135 | 0.462235 | 0.462335 | 0.462434 | 0.462534 | 0.462634 | 0.462733 | 0.462833 | 0.462932 | 0.463032 |
| 16.6 | 0.463131 | 0.463230 | 0.463329 | 0.463429 | 0.463528 | 0.463627 | 0.463726 | 0.463825 | 0.463924 | 0.464022 |
| 16.7 | 0.464121 | 0.464220 | 0.464318 | 0.464417 | 0.464515 | 0.464614 | 0.464712 | 0.464811 | 0.464909 | 0.465007 |
| 16.8 | 0.465105 | 0.465203 | 0.465301 | 0.465399 | 0.465497 | 0.465595 | 0.465693 | 0.465791 | 0.465888 | 0.465986 |
| 16.9 | 0.466084 | 0.466181 | 0.466279 | 0.466376 | 0.466473 | 0.466571 | 0.466668 | 0.466765 | 0.466862 | 0.466959 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 17.0 | 0.467056 | 0.467153 | 0.467250 | 0.467347 | 0.467444 | 0.467540 | 0.467637 | 0.467734 | 0.467830 | 0.467927 |
| 17.1 | 0.468023 | 0.468119 | 0.468216 | 0.468312 | 0.468408 | 0.468504 | 0.468600 | 0.468697 | 0.468792 | 0.468888 |
| 17.2 | 0.468984 | 0.469080 | 0.469176 | 0.469272 | 0.469367 | 0.469463 | 0.469558 | 0.469654 | 0.469749 | 0.469845 |
| 17.3 | 0.469940 | 0.470035 | 0.470130 | 0.470226 | 0.470321 | 0.470416 | 0.470511 | 0.470606 | 0.470701 | 0.470795 |
| 17.4 | 0.470890 | 0.470985 | 0.471079 | 0.471174 | 0.471269 | 0.471363 | 0.471458 | 0.471552 | 0.471646 | 0.471741 |
| 17.5 | 0.471835 | 0.471929 | 0.472023 | 0.472117 | 0.472211 | 0.472305 | 0.472399 | 0.472493 | 0.472587 | 0.472680 |
| 17.6 | 0.472774 | 0.472868 | 0.472961 | 0.473055 | 0.473148 | 0.473242 | 0.473335 | 0.473428 | 0.473522 | 0.473615 |
| 17.7 | 0.473708 | 0.473801 | 0.473894 | 0.473987 | 0.474080 | 0.474173 | 0.474266 | 0.474359 | 0.474452 | 0.474544 |
| 17.8 | 0.474637 | 0.474729 | 0.474822 | 0.474914 | 0.475007 | 0.475099 | 0.475192 | 0.475284 | 0.475376 | 0.475468 |
| 17.9 | 0.475560 | 0.475652 | 0.475744 | 0.475836 | 0.475928 | 0.476020 | 0.476112 | 0.476204 | 0.476296 | 0.476387 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 18.0 | 0.476479 | 0.476570 | 0.476662 | 0.476753 | 0.476845 | 0.476936 | 0.477027 | 0.477119 | 0.477210 | 0.477301 |
| 18.1 | 0.477392 | 0.477483 | 0.477574 | 0.477665 | 0.477756 | 0.477847 | 0.477938 | 0.478028 | 0.478119 | 0.478210 |
| 18.2 | 0.478300 | 0.478391 | 0.478481 | 0.478572 | 0.478662 | 0.478753 | 0.478843 | 0.478933 | 0.479023 | 0.479114 |
| 18.3 | 0.479204 | 0.479294 | 0.479384 | 0.479474 | 0.479564 | 0.479653 | 0.479743 | 0.479833 | 0.479923 | 0.480012 |
| 18.4 | 0.480102 | 0.480192 | 0.480281 | 0.480371 | 0.480460 | 0.480549 | 0.480639 | 0.480728 | 0.480817 | 0.480906 |
| 18.5 | 0.480996 | 0.481085 | 0.481174 | 0.481263 | 0.481352 | 0.481440 | 0.481529 | 0.481618 | 0.481707 | 0.481796 |
| 18.6 | 0.481884 | 0.481973 | 0.482061 | 0.482150 | 0.482238 | 0.482327 | 0.482415 | 0.482503 | 0.482592 | 0.482680 |
| 18.7 | 0.482768 | 0.482856 | 0.482944 | 0.483032 | 0.483120 | 0.483208 | 0.483296 | 0.483384 | 0.483472 | 0.483560 |
| 18.8 | 0.483647 | 0.483735 | 0.483823 | 0.483910 | 0.483998 | 0.484085 | 0.484173 | 0.484260 | 0.484347 | 0.484435 |
| 18.9 | 0.484522 | 0.484609 | 0.484696 | 0.484783 | 0.484870 | 0.484957 | 0.485044 | 0.485131 | 0.485218 | 0.485305 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 19.0 | 0.485392 | 0.485479 | 0.485565 | 0.485652 | 0.485738 | 0.485825 | 0.485912 | 0.485998 | 0.486084 | 0.486171 |
| 19.1 | 0.486257 | 0.486343 | 0.486430 | 0.486516 | 0.486602 | 0.486688 | 0.486774 | 0.486860 | 0.486946 | 0.487032 |
| 19.2 | 0.487118 | 0.487204 | 0.487290 | 0.487375 | 0.487461 | 0.487547 | 0.487632 | 0.487718 | 0.487803 | 0.487889 |
| 19.3 | 0.487974 | 0.488060 | 0.488145 | 0.488230 | 0.488316 | 0.488401 | 0.488486 | 0.488571 | 0.488656 | 0.488741 |
| 19.4 | 0.488826 | 0.488911 | 0.488996 | 0.489081 | 0.489166 | 0.489251 | 0.489335 | 0.489420 | 0.489505 | 0.489589 |
| 19.5 | 0.489674 | 0.489758 | 0.489843 | 0.489927 | 0.490012 | 0.490096 | 0.490180 | 0.490265 | 0.490349 | 0.490433 |
| 19.6 | 0.490517 | 0.490601 | 0.490685 | 0.490769 | 0.490853 | 0.490937 | 0.491021 | 0.491105 | 0.491189 | 0.491272 |
| 19.7 | 0.491356 | 0.491440 | 0.491523 | 0.491607 | 0.491690 | 0.491774 | 0.491857 | 0.491941 | 0.492024 | 0.492107 |
| 19.8 | 0.492191 | 0.492274 | 0.492357 | 0.492440 | 0.492523 | 0.492606 | 0.492689 | 0.492772 | 0.492855 | 0.492938 |
| 19.9 | 0.493021 | 0.493104 | 0.493187 | 0.493270 | 0.493352 | 0.493435 | 0.493517 | 0.493600 | 0.493683 | 0.493765 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 20.0 | 0.493847 | 0.493930 | 0.494012 | 0.494095 | 0.494177 | 0.494259 | 0.494341 | 0.494423 | 0.494506 | 0.494588 |
| 20.1 | 0.494670 | 0.494752 | 0.494834 | 0.494916 | 0.494997 | 0.495079 | 0.495161 | 0.495243 | 0.495325 | 0.495406 |
| 20.2 | 0.495488 | 0.495569 | 0.495651 | 0.495732 | 0.495814 | 0.495895 | 0.495977 | 0.496058 | 0.496139 | 0.496221 |
| 20.3 | 0.496302 | 0.496383 | 0.496464 | 0.496545 | 0.496626 | 0.496707 | 0.496788 | 0.496869 | 0.496950 | 0.497031 |
| 20.4 | 0.497112 | 0.497193 | 0.497274 | 0.497354 | 0.497435 | 0.497516 | 0.497596 | 0.497677 | 0.497757 | 0.497838 |
| 20.5 | 0.497918 | 0.497998 | 0.498079 | 0.498159 | 0.498239 | 0.498320 | 0.498400 | 0.498480 | 0.498560 | 0.498640 |
| 20.6 | 0.498720 | 0.498800 | 0.498880 | 0.498960 | 0.499040 | 0.499120 | 0.499200 | 0.499279 | 0.499359 | 0.499439 |
| 20.7 | 0.499519 | 0.499598 | 0.499678 | 0.499757 | 0.499837 | 0.499916 | 0.499996 | 0.500075 | 0.500154 | 0.500234 |
| 20.8 | 0.500313 | 0.500392 | 0.500471 | 0.500551 | 0.500630 | 0.500709 | 0.500788 | 0.500867 | 0.500946 | 0.501025 |
| 20.9 | 0.501104 | 0.501183 | 0.501261 | 0.501340 | 0.501419 | 0.501498 | 0.501576 | 0.501655 | 0.501733 | 0.501812 |
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