This page shows the logarithm table for base 31, 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 | 0.002898 | 0.005767 | 0.008608 | 0.011421 | 0.014208 | 0.016968 | 0.019703 | 0.022412 | 0.025096 |
| 1.1 | 0.027755 | 0.030390 | 0.033002 | 0.035591 | 0.038156 | 0.040700 | 0.043221 | 0.045721 | 0.048199 | 0.050656 |
| 1.2 | 0.053093 | 0.055510 | 0.057907 | 0.060284 | 0.062642 | 0.064981 | 0.067301 | 0.069603 | 0.071887 | 0.074154 |
| 1.3 | 0.076402 | 0.078634 | 0.080848 | 0.083046 | 0.085227 | 0.087392 | 0.089542 | 0.091675 | 0.093793 | 0.095895 |
| 1.4 | 0.097983 | 0.100056 | 0.102114 | 0.104157 | 0.106187 | 0.108202 | 0.110203 | 0.112191 | 0.114165 | 0.116126 |
| 1.5 | 0.118074 | 0.120009 | 0.121931 | 0.123841 | 0.125738 | 0.127623 | 0.129495 | 0.131356 | 0.133205 | 0.135042 |
| 1.6 | 0.136868 | 0.138683 | 0.140486 | 0.142278 | 0.144059 | 0.145829 | 0.147589 | 0.149338 | 0.151076 | 0.152804 |
| 1.7 | 0.154522 | 0.156230 | 0.157928 | 0.159617 | 0.161295 | 0.162964 | 0.164623 | 0.166273 | 0.167914 | 0.169545 |
| 1.8 | 0.171167 | 0.172781 | 0.174385 | 0.175981 | 0.177568 | 0.179146 | 0.180716 | 0.182277 | 0.183831 | 0.185375 |
| 1.9 | 0.186912 | 0.188441 | 0.189961 | 0.191474 | 0.192979 | 0.194476 | 0.195966 | 0.197448 | 0.198922 | 0.200389 |
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| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 2.0 | 0.201849 | 0.203301 | 0.204747 | 0.206185 | 0.207616 | 0.209040 | 0.210457 | 0.211867 | 0.213270 | 0.214667 |
| 2.1 | 0.216057 | 0.217441 | 0.218817 | 0.220188 | 0.221552 | 0.222909 | 0.224261 | 0.225606 | 0.226945 | 0.228277 |
| 2.2 | 0.229604 | 0.230925 | 0.232239 | 0.233548 | 0.234851 | 0.236148 | 0.237440 | 0.238725 | 0.240005 | 0.241280 |
| 2.3 | 0.242549 | 0.243812 | 0.245070 | 0.246322 | 0.247570 | 0.248811 | 0.250048 | 0.251279 | 0.252505 | 0.253726 |
| 2.4 | 0.254942 | 0.256153 | 0.257359 | 0.258560 | 0.259756 | 0.260947 | 0.262133 | 0.263314 | 0.264491 | 0.265663 |
| 2.5 | 0.266830 | 0.267992 | 0.269150 | 0.270304 | 0.271452 | 0.272597 | 0.273736 | 0.274872 | 0.276003 | 0.277129 |
| 2.6 | 0.278251 | 0.279369 | 0.280483 | 0.281592 | 0.282697 | 0.283798 | 0.284895 | 0.285988 | 0.287076 | 0.288161 |
| 2.7 | 0.289242 | 0.290318 | 0.291391 | 0.292459 | 0.293524 | 0.294585 | 0.295642 | 0.296695 | 0.297745 | 0.298790 |
| 2.8 | 0.299832 | 0.300870 | 0.301905 | 0.302936 | 0.303963 | 0.304986 | 0.306006 | 0.307023 | 0.308036 | 0.309045 |
| 2.9 | 0.310051 | 0.311053 | 0.312052 | 0.313048 | 0.314040 | 0.315029 | 0.316014 | 0.316997 | 0.317975 | 0.318951 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 3.0 | 0.319923 | 0.320892 | 0.321858 | 0.322821 | 0.323780 | 0.324737 | 0.325690 | 0.326640 | 0.327587 | 0.328531 |
| 3.1 | 0.329472 | 0.330410 | 0.331345 | 0.332276 | 0.333205 | 0.334131 | 0.335054 | 0.335974 | 0.336892 | 0.337806 |
| 3.2 | 0.338717 | 0.339626 | 0.340532 | 0.341435 | 0.342335 | 0.343232 | 0.344127 | 0.345019 | 0.345908 | 0.346794 |
| 3.3 | 0.347678 | 0.348559 | 0.349438 | 0.350314 | 0.351187 | 0.352057 | 0.352925 | 0.353791 | 0.354654 | 0.355514 |
| 3.4 | 0.356372 | 0.357227 | 0.358080 | 0.358930 | 0.359778 | 0.360623 | 0.361466 | 0.362306 | 0.363144 | 0.363980 |
| 3.5 | 0.364813 | 0.365644 | 0.366472 | 0.367298 | 0.368122 | 0.368944 | 0.369763 | 0.370580 | 0.371394 | 0.372206 |
| 3.6 | 0.373016 | 0.373824 | 0.374630 | 0.375433 | 0.376234 | 0.377033 | 0.377830 | 0.378624 | 0.379417 | 0.380207 |
| 3.7 | 0.380995 | 0.381781 | 0.382565 | 0.383347 | 0.384127 | 0.384904 | 0.385680 | 0.386453 | 0.387225 | 0.387994 |
| 3.8 | 0.388761 | 0.389527 | 0.390290 | 0.391051 | 0.391811 | 0.392568 | 0.393323 | 0.394077 | 0.394828 | 0.395578 |
| 3.9 | 0.396325 | 0.397071 | 0.397815 | 0.398557 | 0.399297 | 0.400035 | 0.400771 | 0.401506 | 0.402238 | 0.402969 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 4.0 | 0.403698 | 0.404425 | 0.405151 | 0.405874 | 0.406596 | 0.407316 | 0.408034 | 0.408750 | 0.409465 | 0.410178 |
| 4.1 | 0.410889 | 0.411598 | 0.412306 | 0.413012 | 0.413716 | 0.414419 | 0.415120 | 0.415819 | 0.416516 | 0.417212 |
| 4.2 | 0.417906 | 0.418599 | 0.419290 | 0.419979 | 0.420666 | 0.421352 | 0.422037 | 0.422720 | 0.423401 | 0.424080 |
| 4.3 | 0.424758 | 0.425435 | 0.426110 | 0.426783 | 0.427455 | 0.428125 | 0.428794 | 0.429461 | 0.430126 | 0.430791 |
| 4.4 | 0.431453 | 0.432114 | 0.432774 | 0.433432 | 0.434089 | 0.434744 | 0.435397 | 0.436050 | 0.436700 | 0.437350 |
| 4.5 | 0.437997 | 0.438644 | 0.439289 | 0.439932 | 0.440574 | 0.441215 | 0.441854 | 0.442492 | 0.443129 | 0.443764 |
| 4.6 | 0.444398 | 0.445030 | 0.445661 | 0.446291 | 0.446919 | 0.447546 | 0.448172 | 0.448796 | 0.449419 | 0.450040 |
| 4.7 | 0.450661 | 0.451279 | 0.451897 | 0.452513 | 0.453128 | 0.453742 | 0.454355 | 0.454966 | 0.455576 | 0.456184 |
| 4.8 | 0.456791 | 0.457397 | 0.458002 | 0.458606 | 0.459208 | 0.459809 | 0.460409 | 0.461008 | 0.461605 | 0.462201 |
| 4.9 | 0.462796 | 0.463390 | 0.463982 | 0.464573 | 0.465163 | 0.465752 | 0.466340 | 0.466927 | 0.467512 | 0.468096 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 5.0 | 0.468679 | 0.469261 | 0.469842 | 0.470421 | 0.470999 | 0.471577 | 0.472153 | 0.472728 | 0.473301 | 0.473874 |
| 5.1 | 0.474446 | 0.475016 | 0.475585 | 0.476154 | 0.476721 | 0.477287 | 0.477852 | 0.478415 | 0.478978 | 0.479540 |
| 5.2 | 0.480100 | 0.480660 | 0.481218 | 0.481776 | 0.482332 | 0.482887 | 0.483441 | 0.483994 | 0.484546 | 0.485097 |
| 5.3 | 0.485647 | 0.486196 | 0.486744 | 0.487291 | 0.487837 | 0.488382 | 0.488926 | 0.489468 | 0.490010 | 0.490551 |
| 5.4 | 0.491091 | 0.491629 | 0.492167 | 0.492704 | 0.493240 | 0.493775 | 0.494308 | 0.494841 | 0.495373 | 0.495904 |
| 5.5 | 0.496434 | 0.496963 | 0.497491 | 0.498018 | 0.498544 | 0.499069 | 0.499594 | 0.500117 | 0.500639 | 0.501161 |
| 5.6 | 0.501681 | 0.502201 | 0.502719 | 0.503237 | 0.503754 | 0.504270 | 0.504785 | 0.505299 | 0.505812 | 0.506324 |
| 5.7 | 0.506835 | 0.507346 | 0.507855 | 0.508364 | 0.508872 | 0.509379 | 0.509885 | 0.510390 | 0.510894 | 0.511397 |
| 5.8 | 0.511900 | 0.512402 | 0.512902 | 0.513402 | 0.513901 | 0.514400 | 0.514897 | 0.515393 | 0.515889 | 0.516384 |
| 5.9 | 0.516878 | 0.517371 | 0.517863 | 0.518355 | 0.518846 | 0.519335 | 0.519824 | 0.520313 | 0.520800 | 0.521287 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 6.0 | 0.521772 | 0.522257 | 0.522741 | 0.523225 | 0.523707 | 0.524189 | 0.524670 | 0.525150 | 0.525629 | 0.526108 |
| 6.1 | 0.526586 | 0.527063 | 0.527539 | 0.528014 | 0.528489 | 0.528963 | 0.529436 | 0.529908 | 0.530380 | 0.530851 |
| 6.2 | 0.531321 | 0.531790 | 0.532259 | 0.532727 | 0.533194 | 0.533660 | 0.534126 | 0.534590 | 0.535054 | 0.535518 |
| 6.3 | 0.535980 | 0.536442 | 0.536903 | 0.537364 | 0.537823 | 0.538282 | 0.538741 | 0.539198 | 0.539655 | 0.540111 |
| 6.4 | 0.540566 | 0.541021 | 0.541475 | 0.541928 | 0.542381 | 0.542833 | 0.543284 | 0.543734 | 0.544184 | 0.544633 |
| 6.5 | 0.545081 | 0.545529 | 0.545976 | 0.546422 | 0.546868 | 0.547313 | 0.547757 | 0.548201 | 0.548643 | 0.549086 |
| 6.6 | 0.549527 | 0.549968 | 0.550408 | 0.550848 | 0.551287 | 0.551725 | 0.552163 | 0.552600 | 0.553036 | 0.553471 |
| 6.7 | 0.553906 | 0.554341 | 0.554774 | 0.555207 | 0.555640 | 0.556072 | 0.556503 | 0.556933 | 0.557363 | 0.557792 |
| 6.8 | 0.558221 | 0.558649 | 0.559076 | 0.559503 | 0.559929 | 0.560354 | 0.560779 | 0.561203 | 0.561627 | 0.562050 |
| 6.9 | 0.562472 | 0.562894 | 0.563315 | 0.563735 | 0.564155 | 0.564575 | 0.564993 | 0.565411 | 0.565829 | 0.566246 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 7.0 | 0.566662 | 0.567078 | 0.567493 | 0.567907 | 0.568321 | 0.568735 | 0.569147 | 0.569560 | 0.569971 | 0.570382 |
| 7.1 | 0.570793 | 0.571203 | 0.571612 | 0.572021 | 0.572429 | 0.572836 | 0.573243 | 0.573650 | 0.574056 | 0.574461 |
| 7.2 | 0.574866 | 0.575270 | 0.575673 | 0.576076 | 0.576479 | 0.576881 | 0.577282 | 0.577683 | 0.578083 | 0.578483 |
| 7.3 | 0.578882 | 0.579281 | 0.579679 | 0.580077 | 0.580474 | 0.580870 | 0.581266 | 0.581661 | 0.582056 | 0.582451 |
| 7.4 | 0.582844 | 0.583238 | 0.583630 | 0.584023 | 0.584414 | 0.584805 | 0.585196 | 0.585586 | 0.585976 | 0.586365 |
| 7.5 | 0.586753 | 0.587141 | 0.587529 | 0.587916 | 0.588302 | 0.588688 | 0.589074 | 0.589459 | 0.589843 | 0.590227 |
| 7.6 | 0.590610 | 0.590993 | 0.591376 | 0.591758 | 0.592139 | 0.592520 | 0.592900 | 0.593280 | 0.593660 | 0.594039 |
| 7.7 | 0.594417 | 0.594795 | 0.595172 | 0.595549 | 0.595926 | 0.596302 | 0.596677 | 0.597052 | 0.597427 | 0.597801 |
| 7.8 | 0.598175 | 0.598548 | 0.598920 | 0.599292 | 0.599664 | 0.600035 | 0.600406 | 0.600776 | 0.601146 | 0.601515 |
| 7.9 | 0.601884 | 0.602253 | 0.602621 | 0.602988 | 0.603355 | 0.603722 | 0.604088 | 0.604453 | 0.604818 | 0.605183 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 8.0 | 0.605547 | 0.605911 | 0.606274 | 0.606637 | 0.607000 | 0.607362 | 0.607723 | 0.608084 | 0.608445 | 0.608805 |
| 8.1 | 0.609165 | 0.609524 | 0.609883 | 0.610241 | 0.610599 | 0.610957 | 0.611314 | 0.611671 | 0.612027 | 0.612383 |
| 8.2 | 0.612738 | 0.613093 | 0.613447 | 0.613801 | 0.614155 | 0.614508 | 0.614861 | 0.615213 | 0.615565 | 0.615917 |
| 8.3 | 0.616268 | 0.616618 | 0.616969 | 0.617318 | 0.617668 | 0.618017 | 0.618365 | 0.618713 | 0.619061 | 0.619408 |
| 8.4 | 0.619755 | 0.620102 | 0.620448 | 0.620793 | 0.621139 | 0.621484 | 0.621828 | 0.622172 | 0.622516 | 0.622859 |
| 8.5 | 0.623202 | 0.623544 | 0.623886 | 0.624228 | 0.624569 | 0.624910 | 0.625250 | 0.625590 | 0.625930 | 0.626269 |
| 8.6 | 0.626608 | 0.626946 | 0.627284 | 0.627622 | 0.627959 | 0.628296 | 0.628632 | 0.628968 | 0.629304 | 0.629639 |
| 8.7 | 0.629974 | 0.630309 | 0.630643 | 0.630977 | 0.631310 | 0.631643 | 0.631976 | 0.632308 | 0.632640 | 0.632971 |
| 8.8 | 0.633302 | 0.633633 | 0.633963 | 0.634293 | 0.634623 | 0.634952 | 0.635281 | 0.635609 | 0.635938 | 0.636265 |
| 8.9 | 0.636593 | 0.636920 | 0.637246 | 0.637573 | 0.637899 | 0.638224 | 0.638549 | 0.638874 | 0.639199 | 0.639523 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 9.0 | 0.639846 | 0.640170 | 0.640493 | 0.640816 | 0.641138 | 0.641460 | 0.641781 | 0.642103 | 0.642424 | 0.642744 |
| 9.1 | 0.643064 | 0.643384 | 0.643704 | 0.644023 | 0.644341 | 0.644660 | 0.644978 | 0.645296 | 0.645613 | 0.645930 |
| 9.2 | 0.646247 | 0.646563 | 0.646879 | 0.647195 | 0.647510 | 0.647825 | 0.648140 | 0.648454 | 0.648768 | 0.649082 |
| 9.3 | 0.649395 | 0.649708 | 0.650021 | 0.650333 | 0.650645 | 0.650957 | 0.651268 | 0.651579 | 0.651889 | 0.652200 |
| 9.4 | 0.652510 | 0.652819 | 0.653129 | 0.653438 | 0.653746 | 0.654054 | 0.654362 | 0.654670 | 0.654977 | 0.655285 |
| 9.5 | 0.655591 | 0.655898 | 0.656204 | 0.656509 | 0.656815 | 0.657120 | 0.657425 | 0.657729 | 0.658033 | 0.658337 |
| 9.6 | 0.658641 | 0.658944 | 0.659247 | 0.659549 | 0.659851 | 0.660153 | 0.660455 | 0.660756 | 0.661057 | 0.661358 |
| 9.7 | 0.661658 | 0.661958 | 0.662258 | 0.662557 | 0.662857 | 0.663155 | 0.663454 | 0.663752 | 0.664050 | 0.664348 |
| 9.8 | 0.664645 | 0.664942 | 0.665239 | 0.665535 | 0.665831 | 0.666127 | 0.666422 | 0.666718 | 0.667013 | 0.667307 |
| 9.9 | 0.667601 | 0.667895 | 0.668189 | 0.668483 | 0.668776 | 0.669068 | 0.669361 | 0.669653 | 0.669945 | 0.670237 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 10.0 | 0.670528 | 0.670819 | 0.671110 | 0.671400 | 0.671691 | 0.671981 | 0.672270 | 0.672559 | 0.672849 | 0.673137 |
| 10.1 | 0.673426 | 0.673714 | 0.674002 | 0.674289 | 0.674577 | 0.674864 | 0.675151 | 0.675437 | 0.675723 | 0.676009 |
| 10.2 | 0.676295 | 0.676580 | 0.676865 | 0.677150 | 0.677435 | 0.677719 | 0.678003 | 0.678286 | 0.678570 | 0.678853 |
| 10.3 | 0.679136 | 0.679418 | 0.679701 | 0.679983 | 0.680265 | 0.680546 | 0.680827 | 0.681108 | 0.681389 | 0.681669 |
| 10.4 | 0.681949 | 0.682229 | 0.682509 | 0.682788 | 0.683067 | 0.683346 | 0.683625 | 0.683903 | 0.684181 | 0.684459 |
| 10.5 | 0.684736 | 0.685013 | 0.685290 | 0.685567 | 0.685843 | 0.686120 | 0.686395 | 0.686671 | 0.686946 | 0.687222 |
| 10.6 | 0.687496 | 0.687771 | 0.688045 | 0.688319 | 0.688593 | 0.688867 | 0.689140 | 0.689413 | 0.689686 | 0.689959 |
| 10.7 | 0.690231 | 0.690503 | 0.690775 | 0.691046 | 0.691317 | 0.691588 | 0.691859 | 0.692130 | 0.692400 | 0.692670 |
| 10.8 | 0.692940 | 0.693209 | 0.693478 | 0.693748 | 0.694016 | 0.694285 | 0.694553 | 0.694821 | 0.695089 | 0.695356 |
| 10.9 | 0.695624 | 0.695891 | 0.696158 | 0.696424 | 0.696690 | 0.696956 | 0.697222 | 0.697488 | 0.697753 | 0.698018 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 11.0 | 0.698283 | 0.698548 | 0.698812 | 0.699076 | 0.699340 | 0.699604 | 0.699867 | 0.700130 | 0.700393 | 0.700656 |
| 11.1 | 0.700918 | 0.701181 | 0.701443 | 0.701704 | 0.701966 | 0.702227 | 0.702488 | 0.702749 | 0.703010 | 0.703270 |
| 11.2 | 0.703530 | 0.703790 | 0.704050 | 0.704309 | 0.704568 | 0.704827 | 0.705086 | 0.705345 | 0.705603 | 0.705861 |
| 11.3 | 0.706119 | 0.706376 | 0.706634 | 0.706891 | 0.707148 | 0.707404 | 0.707661 | 0.707917 | 0.708173 | 0.708429 |
| 11.4 | 0.708684 | 0.708940 | 0.709195 | 0.709450 | 0.709704 | 0.709959 | 0.710213 | 0.710467 | 0.710721 | 0.710974 |
| 11.5 | 0.711228 | 0.711481 | 0.711734 | 0.711986 | 0.712239 | 0.712491 | 0.712743 | 0.712995 | 0.713247 | 0.713498 |
| 11.6 | 0.713749 | 0.714000 | 0.714251 | 0.714501 | 0.714751 | 0.715002 | 0.715251 | 0.715501 | 0.715750 | 0.716000 |
| 11.7 | 0.716249 | 0.716497 | 0.716746 | 0.716994 | 0.717243 | 0.717491 | 0.717738 | 0.717986 | 0.718233 | 0.718480 |
| 11.8 | 0.718727 | 0.718974 | 0.719220 | 0.719466 | 0.719713 | 0.719958 | 0.720204 | 0.720449 | 0.720695 | 0.720940 |
| 11.9 | 0.721185 | 0.721429 | 0.721674 | 0.721918 | 0.722162 | 0.722406 | 0.722649 | 0.722892 | 0.723136 | 0.723379 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 12.0 | 0.723621 | 0.723864 | 0.724106 | 0.724349 | 0.724590 | 0.724832 | 0.725074 | 0.725315 | 0.725556 | 0.725797 |
| 12.1 | 0.726038 | 0.726279 | 0.726519 | 0.726759 | 0.726999 | 0.727239 | 0.727479 | 0.727718 | 0.727957 | 0.728196 |
| 12.2 | 0.728435 | 0.728673 | 0.728912 | 0.729150 | 0.729388 | 0.729626 | 0.729864 | 0.730101 | 0.730338 | 0.730575 |
| 12.3 | 0.730812 | 0.731049 | 0.731285 | 0.731521 | 0.731758 | 0.731993 | 0.732229 | 0.732465 | 0.732700 | 0.732935 |
| 12.4 | 0.733170 | 0.733405 | 0.733639 | 0.733874 | 0.734108 | 0.734342 | 0.734576 | 0.734809 | 0.735043 | 0.735276 |
| 12.5 | 0.735509 | 0.735742 | 0.735975 | 0.736207 | 0.736439 | 0.736672 | 0.736903 | 0.737135 | 0.737367 | 0.737598 |
| 12.6 | 0.737829 | 0.738060 | 0.738291 | 0.738522 | 0.738752 | 0.738983 | 0.739213 | 0.739443 | 0.739673 | 0.739902 |
| 12.7 | 0.740131 | 0.740361 | 0.740590 | 0.740819 | 0.741047 | 0.741276 | 0.741504 | 0.741732 | 0.741960 | 0.742188 |
| 12.8 | 0.742415 | 0.742643 | 0.742870 | 0.743097 | 0.743324 | 0.743551 | 0.743777 | 0.744004 | 0.744230 | 0.744456 |
| 12.9 | 0.744682 | 0.744907 | 0.745133 | 0.745358 | 0.745583 | 0.745808 | 0.746033 | 0.746258 | 0.746482 | 0.746706 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 13.0 | 0.746930 | 0.747154 | 0.747378 | 0.747602 | 0.747825 | 0.748048 | 0.748271 | 0.748494 | 0.748717 | 0.748939 |
| 13.1 | 0.749162 | 0.749384 | 0.749606 | 0.749828 | 0.750050 | 0.750271 | 0.750493 | 0.750714 | 0.750935 | 0.751156 |
| 13.2 | 0.751376 | 0.751597 | 0.751817 | 0.752037 | 0.752257 | 0.752477 | 0.752697 | 0.752917 | 0.753136 | 0.753355 |
| 13.3 | 0.753574 | 0.753793 | 0.754012 | 0.754230 | 0.754449 | 0.754667 | 0.754885 | 0.755103 | 0.755321 | 0.755538 |
| 13.4 | 0.755755 | 0.755973 | 0.756190 | 0.756407 | 0.756623 | 0.756840 | 0.757056 | 0.757273 | 0.757489 | 0.757705 |
| 13.5 | 0.757921 | 0.758136 | 0.758352 | 0.758567 | 0.758782 | 0.758997 | 0.759212 | 0.759427 | 0.759641 | 0.759856 |
| 13.6 | 0.760070 | 0.760284 | 0.760498 | 0.760711 | 0.760925 | 0.761138 | 0.761352 | 0.761565 | 0.761778 | 0.761991 |
| 13.7 | 0.762203 | 0.762416 | 0.762628 | 0.762840 | 0.763052 | 0.763264 | 0.763476 | 0.763687 | 0.763899 | 0.764110 |
| 13.8 | 0.764321 | 0.764532 | 0.764743 | 0.764953 | 0.765164 | 0.765374 | 0.765584 | 0.765794 | 0.766004 | 0.766214 |
| 13.9 | 0.766424 | 0.766633 | 0.766842 | 0.767051 | 0.767260 | 0.767469 | 0.767678 | 0.767886 | 0.768095 | 0.768303 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 14.0 | 0.768511 | 0.768719 | 0.768927 | 0.769134 | 0.769342 | 0.769549 | 0.769756 | 0.769964 | 0.770170 | 0.770377 |
| 14.1 | 0.770584 | 0.770790 | 0.770997 | 0.771203 | 0.771409 | 0.771615 | 0.771820 | 0.772026 | 0.772231 | 0.772437 |
| 14.2 | 0.772642 | 0.772847 | 0.773052 | 0.773256 | 0.773461 | 0.773665 | 0.773870 | 0.774074 | 0.774278 | 0.774482 |
| 14.3 | 0.774685 | 0.774889 | 0.775092 | 0.775296 | 0.775499 | 0.775702 | 0.775905 | 0.776107 | 0.776310 | 0.776512 |
| 14.4 | 0.776715 | 0.776917 | 0.777119 | 0.777321 | 0.777522 | 0.777724 | 0.777926 | 0.778127 | 0.778328 | 0.778529 |
| 14.5 | 0.778730 | 0.778931 | 0.779131 | 0.779332 | 0.779532 | 0.779732 | 0.779932 | 0.780132 | 0.780332 | 0.780532 |
| 14.6 | 0.780731 | 0.780931 | 0.781130 | 0.781329 | 0.781528 | 0.781727 | 0.781926 | 0.782124 | 0.782323 | 0.782521 |
| 14.7 | 0.782719 | 0.782917 | 0.783115 | 0.783313 | 0.783510 | 0.783708 | 0.783905 | 0.784103 | 0.784300 | 0.784497 |
| 14.8 | 0.784693 | 0.784890 | 0.785087 | 0.785283 | 0.785479 | 0.785676 | 0.785872 | 0.786068 | 0.786263 | 0.786459 |
| 14.9 | 0.786654 | 0.786850 | 0.787045 | 0.787240 | 0.787435 | 0.787630 | 0.787825 | 0.788019 | 0.788214 | 0.788408 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 15.0 | 0.788602 | 0.788796 | 0.788990 | 0.789184 | 0.789378 | 0.789571 | 0.789765 | 0.789958 | 0.790151 | 0.790344 |
| 15.1 | 0.790537 | 0.790730 | 0.790923 | 0.791115 | 0.791308 | 0.791500 | 0.791692 | 0.791884 | 0.792076 | 0.792268 |
| 15.2 | 0.792459 | 0.792651 | 0.792842 | 0.793034 | 0.793225 | 0.793416 | 0.793607 | 0.793797 | 0.793988 | 0.794179 |
| 15.3 | 0.794369 | 0.794559 | 0.794749 | 0.794939 | 0.795129 | 0.795319 | 0.795509 | 0.795698 | 0.795888 | 0.796077 |
| 15.4 | 0.796266 | 0.796455 | 0.796644 | 0.796833 | 0.797021 | 0.797210 | 0.797398 | 0.797587 | 0.797775 | 0.797963 |
| 15.5 | 0.798151 | 0.798339 | 0.798526 | 0.798714 | 0.798901 | 0.799089 | 0.799276 | 0.799463 | 0.799650 | 0.799837 |
| 15.6 | 0.800024 | 0.800210 | 0.800397 | 0.800583 | 0.800769 | 0.800955 | 0.801142 | 0.801327 | 0.801513 | 0.801699 |
| 15.7 | 0.801884 | 0.802070 | 0.802255 | 0.802440 | 0.802625 | 0.802810 | 0.802995 | 0.803180 | 0.803364 | 0.803549 |
| 15.8 | 0.803733 | 0.803918 | 0.804102 | 0.804286 | 0.804470 | 0.804653 | 0.804837 | 0.805021 | 0.805204 | 0.805387 |
| 15.9 | 0.805571 | 0.805754 | 0.805937 | 0.806120 | 0.806302 | 0.806485 | 0.806667 | 0.806850 | 0.807032 | 0.807214 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 16.0 | 0.807396 | 0.807578 | 0.807760 | 0.807942 | 0.808123 | 0.808305 | 0.808486 | 0.808668 | 0.808849 | 0.809030 |
| 16.1 | 0.809211 | 0.809392 | 0.809572 | 0.809753 | 0.809933 | 0.810114 | 0.810294 | 0.810474 | 0.810654 | 0.810834 |
| 16.2 | 0.811014 | 0.811194 | 0.811373 | 0.811553 | 0.811732 | 0.811911 | 0.812090 | 0.812269 | 0.812448 | 0.812627 |
| 16.3 | 0.812806 | 0.812985 | 0.813163 | 0.813341 | 0.813520 | 0.813698 | 0.813876 | 0.814054 | 0.814232 | 0.814409 |
| 16.4 | 0.814587 | 0.814765 | 0.814942 | 0.815119 | 0.815296 | 0.815473 | 0.815650 | 0.815827 | 0.816004 | 0.816181 |
| 16.5 | 0.816357 | 0.816534 | 0.816710 | 0.816886 | 0.817062 | 0.817238 | 0.817414 | 0.817590 | 0.817766 | 0.817941 |
| 16.6 | 0.818117 | 0.818292 | 0.818467 | 0.818643 | 0.818818 | 0.818993 | 0.819167 | 0.819342 | 0.819517 | 0.819691 |
| 16.7 | 0.819866 | 0.820040 | 0.820214 | 0.820388 | 0.820562 | 0.820736 | 0.820910 | 0.821084 | 0.821257 | 0.821431 |
| 16.8 | 0.821604 | 0.821778 | 0.821951 | 0.822124 | 0.822297 | 0.822470 | 0.822643 | 0.822815 | 0.822988 | 0.823160 |
| 16.9 | 0.823333 | 0.823505 | 0.823677 | 0.823849 | 0.824021 | 0.824193 | 0.824365 | 0.824536 | 0.824708 | 0.824879 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 17.0 | 0.825051 | 0.825222 | 0.825393 | 0.825564 | 0.825735 | 0.825906 | 0.826077 | 0.826247 | 0.826418 | 0.826588 |
| 17.1 | 0.826759 | 0.826929 | 0.827099 | 0.827269 | 0.827439 | 0.827609 | 0.827779 | 0.827948 | 0.828118 | 0.828287 |
| 17.2 | 0.828457 | 0.828626 | 0.828795 | 0.828964 | 0.829133 | 0.829302 | 0.829471 | 0.829639 | 0.829808 | 0.829976 |
| 17.3 | 0.830145 | 0.830313 | 0.830481 | 0.830649 | 0.830817 | 0.830985 | 0.831153 | 0.831321 | 0.831488 | 0.831656 |
| 17.4 | 0.831823 | 0.831991 | 0.832158 | 0.832325 | 0.832492 | 0.832659 | 0.832826 | 0.832992 | 0.833159 | 0.833326 |
| 17.5 | 0.833492 | 0.833658 | 0.833825 | 0.833991 | 0.834157 | 0.834323 | 0.834489 | 0.834655 | 0.834820 | 0.834986 |
| 17.6 | 0.835151 | 0.835317 | 0.835482 | 0.835647 | 0.835812 | 0.835977 | 0.836142 | 0.836307 | 0.836472 | 0.836637 |
| 17.7 | 0.836801 | 0.836966 | 0.837130 | 0.837294 | 0.837459 | 0.837623 | 0.837787 | 0.837951 | 0.838114 | 0.838278 |
| 17.8 | 0.838442 | 0.838605 | 0.838769 | 0.838932 | 0.839095 | 0.839259 | 0.839422 | 0.839585 | 0.839748 | 0.839910 |
| 17.9 | 0.840073 | 0.840236 | 0.840398 | 0.840561 | 0.840723 | 0.840886 | 0.841048 | 0.841210 | 0.841372 | 0.841534 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 18.0 | 0.841696 | 0.841857 | 0.842019 | 0.842180 | 0.842342 | 0.842503 | 0.842665 | 0.842826 | 0.842987 | 0.843148 |
| 18.1 | 0.843309 | 0.843470 | 0.843630 | 0.843791 | 0.843952 | 0.844112 | 0.844273 | 0.844433 | 0.844593 | 0.844753 |
| 18.2 | 0.844913 | 0.845073 | 0.845233 | 0.845393 | 0.845553 | 0.845712 | 0.845872 | 0.846031 | 0.846191 | 0.846350 |
| 18.3 | 0.846509 | 0.846668 | 0.846827 | 0.846986 | 0.847145 | 0.847304 | 0.847462 | 0.847621 | 0.847779 | 0.847938 |
| 18.4 | 0.848096 | 0.848254 | 0.848412 | 0.848570 | 0.848728 | 0.848886 | 0.849044 | 0.849202 | 0.849359 | 0.849517 |
| 18.5 | 0.849674 | 0.849832 | 0.849989 | 0.850146 | 0.850303 | 0.850460 | 0.850617 | 0.850774 | 0.850931 | 0.851088 |
| 18.6 | 0.851244 | 0.851401 | 0.851557 | 0.851713 | 0.851870 | 0.852026 | 0.852182 | 0.852338 | 0.852494 | 0.852650 |
| 18.7 | 0.852806 | 0.852961 | 0.853117 | 0.853272 | 0.853428 | 0.853583 | 0.853738 | 0.853894 | 0.854049 | 0.854204 |
| 18.8 | 0.854359 | 0.854514 | 0.854668 | 0.854823 | 0.854978 | 0.855132 | 0.855287 | 0.855441 | 0.855595 | 0.855749 |
| 18.9 | 0.855904 | 0.856058 | 0.856212 | 0.856365 | 0.856519 | 0.856673 | 0.856827 | 0.856980 | 0.857134 | 0.857287 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 19.0 | 0.857440 | 0.857594 | 0.857747 | 0.857900 | 0.858053 | 0.858206 | 0.858358 | 0.858511 | 0.858664 | 0.858816 |
| 19.1 | 0.858969 | 0.859121 | 0.859274 | 0.859426 | 0.859578 | 0.859730 | 0.859882 | 0.860034 | 0.860186 | 0.860338 |
| 19.2 | 0.860490 | 0.860641 | 0.860793 | 0.860944 | 0.861096 | 0.861247 | 0.861398 | 0.861549 | 0.861700 | 0.861851 |
| 19.3 | 0.862002 | 0.862153 | 0.862304 | 0.862455 | 0.862605 | 0.862756 | 0.862906 | 0.863057 | 0.863207 | 0.863357 |
| 19.4 | 0.863507 | 0.863657 | 0.863807 | 0.863957 | 0.864107 | 0.864257 | 0.864407 | 0.864556 | 0.864706 | 0.864855 |
| 19.5 | 0.865005 | 0.865154 | 0.865303 | 0.865452 | 0.865601 | 0.865750 | 0.865899 | 0.866048 | 0.866197 | 0.866345 |
| 19.6 | 0.866494 | 0.866643 | 0.866791 | 0.866939 | 0.867088 | 0.867236 | 0.867384 | 0.867532 | 0.867680 | 0.867828 |
| 19.7 | 0.867976 | 0.868124 | 0.868272 | 0.868419 | 0.868567 | 0.868714 | 0.868862 | 0.869009 | 0.869156 | 0.869303 |
| 19.8 | 0.869451 | 0.869598 | 0.869745 | 0.869891 | 0.870038 | 0.870185 | 0.870332 | 0.870478 | 0.870625 | 0.870771 |
| 19.9 | 0.870918 | 0.871064 | 0.871210 | 0.871356 | 0.871502 | 0.871648 | 0.871794 | 0.871940 | 0.872086 | 0.872232 |
| N.i | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 20.0 | 0.872377 | 0.872523 | 0.872668 | 0.872814 | 0.872959 | 0.873104 | 0.873250 | 0.873395 | 0.873540 | 0.873685 |
| 20.1 | 0.873830 | 0.873974 | 0.874119 | 0.874264 | 0.874409 | 0.874553 | 0.874698 | 0.874842 | 0.874986 | 0.875131 |
| 20.2 | 0.875275 | 0.875419 | 0.875563 | 0.875707 | 0.875851 | 0.875995 | 0.876139 | 0.876282 | 0.876426 | 0.876569 |
| 20.3 | 0.876713 | 0.876856 | 0.877000 | 0.877143 | 0.877286 | 0.877429 | 0.877572 | 0.877715 | 0.877858 | 0.878001 |
| 20.4 | 0.878144 | 0.878287 | 0.878429 | 0.878572 | 0.878714 | 0.878857 | 0.878999 | 0.879141 | 0.879284 | 0.879426 |
| 20.5 | 0.879568 | 0.879710 | 0.879852 | 0.879994 | 0.880136 | 0.880277 | 0.880419 | 0.880561 | 0.880702 | 0.880844 |
| 20.6 | 0.880985 | 0.881126 | 0.881268 | 0.881409 | 0.881550 | 0.881691 | 0.881832 | 0.881973 | 0.882114 | 0.882254 |
| 20.7 | 0.882395 | 0.882536 | 0.882676 | 0.882817 | 0.882957 | 0.883098 | 0.883238 | 0.883378 | 0.883518 | 0.883659 |
| 20.8 | 0.883799 | 0.883939 | 0.884078 | 0.884218 | 0.884358 | 0.884498 | 0.884637 | 0.884777 | 0.884916 | 0.885056 |
| 20.9 | 0.885195 | 0.885335 | 0.885474 | 0.885613 | 0.885752 | 0.885891 | 0.886030 | 0.886169 | 0.886308 | 0.886447 |
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