n n3 √n √10 n in V10 n V100 n 7.51 56.4001 423.565 2.74044 8.66603 1.95830 4.21904 9.08964 .133156 7.52 56.5504 425.259 2.74226 8.67179 1.95917 4.22091 9.09367 .132979 7.53 56.7009 426.958 2.74408 8.67756 1.96004 4.22278 9.09770 .132802 7.54 56.8516 428.661 2.74591 8.68332 1.96091 4.22465 9.10173 .132626 7.55 57.0025 430.369 2.74773 8.68907 1.96177 4.22651 9.10575 .132450 n2 1.96264 4.22838 9.10977 .132275 7.56 1.96868 4.24139 8.74643 7.66 58.6756 449.455 2.76767 7.67 58.8289 451.218 2.76948 7.68 58.9824 452.985 2.77128 7.69 59.1361 454.757 2.77308 7.70 59.2900 456.533 2.77489 7.71 59.4441 458.314 2.77669 7.72 59.5984 460.100 2.77849 7.73 59.7529 461.890 2.78029 7.74 59.9076 463.685 2.78209 7.75 60.0625 465.484 2.78388 8.75214 1.97126 4.24694 9.14976 8.78066 7.76 60.2176 467.289 2.78568 8.80909 1 n .130548 .130378 .130208 .130039 1.97468 4.25432 9.16566 .129870 7.86 61.7796 485.588 2.80357 8.86566 7.87 61.9369 487.443 2.80535 8.87130 7.88 62.0944 489.304 2.80713 8.87694 7.89 62.2521 491.169 2.80891 8.88257 7.90 62.4100 493.039 2.81069 8.88819 .129534 1.97554 4.25616 9.16962 .129702 .129366 .129032 .128866 .128700 1.97980 4.26534 9.18940 .128535 2.79464 8.83742 1.98404 4.27448 9.20910 .128041 .127714 .127551 4.28177 9.22479 .127389 1.98826 4.28359 9.22871 .127227 1.98911 4.28540 9.23262 .127065 1.98995 4.28722 .126904 1.99079 4.28903 9.23653 1.99247 7.91 62.5681 494.914 2.81247 8.89382 1.99666 7.96 63.3616 504.358 2.82135 8.92188 7.97 63.5209 506.262 2.82312 8.92749 1.99750 63.8401 510.082 2.82666 8.93868 1.99917 2.82843 8.94427 2.00000 4.29265 9.24823 .126422 4.29446 9.25213.126263 4.29627 9.25602 .126103 4.29807 9.25991 .125945 4.29987 9.26380 .125786 4.30168 9.26768 .125628 4.30348 9.27156 .125471 4.30528 9.27544 .125313 4.30707 9.27931 .125156 n n2 √n 110 η 8.01 64.1601 513.922 2.83019 8.94986 2.00083 4.31066 9.28704 .124844 8.02 64.3204 515.850 2.83196 8.95545 2.00167 4.31246 9.29091 .124688 8.03 64.4809 517.782 2.83373 8.96103 2.00250 4.31425 9.29477 .124533 8.04 64.6416 519.718 2.83549 8.96660 2.00333 4.31604 9.29862 .124378 8.05 64.8025 521.660 2.83725 8.97218 2.00416 4.31783 9.30248 .124224 8.06 8.07 8.08 8.09 8.10 8.21 8.22 8.23 8.24 8.25 n3 in V10 V100 n n 4.32140 9.31018 .123916 64.9636 523.607 2.83901 8.97775 2.00499 4.31961 9.31402 .123762 8.16 66.5856 543.338 2.85657 9.03327 2.01325 4.33741 9.34466 8.20 8.11 8.12 65.7721 533.412 2.84781 9.00555 2.00912 4.32853 9.32553 .123305 65.9344 535.387 2.84956 9.01110 2.00995 4.33031 9.32936 .123153 8.13 66.0969 537.368 2.85132 9.01665 2.01078 4.33208 9.33319 .123001 8.14 66.2596 539.353 2.85307 9.02219 2.01160 4.33386 9.33702 .122850 8.15 66.4225 541.343 2.85482 9.02774 2.01242 4.33563 9.34084 .122699 1 n 9.30633.124070 67.4041 553.388 2.86531 9.06091 2.01735 4.34625 9.36370 8.26 68.2276 563.560 2.87402 9.08845 2.02144 4.35505 9.38268 8.27 68.3929 565.609 2.87576 9.09395 2.02225 4.35681 9.38646 8.28 68.5584 567.664 2.87750 9.09945 2.02307 4.35856 9.39024 8.29 68.7241 569.723 2.87924 9.10494 2.02388 4.36032 9.39402 8.30 68.8900 571.787 2.88097 9.11043 2.02469 4.36207 9.39780 8.46 71.5716 605.496 2.90861 9.19783 2.03762 .122549 .122399 .122249 .122100 .121951 .121803 .121655 .121507 .121359 .121212 .121065 .120919 .120773 .120627 .120482 8.31 69.0561 573.856 2.88271 9.11592 2.02551 4.36382 9.40157 .120337 8.32 69.2224 575.930 2.88444 9.12140 2.02632 4.36557 9.40534 .120192 8.33 69.3889 578.010 2.88617 9.12688 2.02713 4.36732 9.40911 | .120048 8.34 69.5556 580.094 2.88791 9.13236 2.02794 4.36907 9.41287 .119904 8.35 69.7225 582.183 2.88964 9.13783 2.02875 4.37081 9.41663 .119761 .119617 .119474 8.36 69.8896 584.277 2.89137 9.14330 2.02956 4.37255 9.42039 8.37 70.0569 586.376 2.89310 9.14877 2.03037 4.37430 9.42414 8.38 70.2244 588.480 2.89482 9.15423 2.03118 4.37604 9.42789 .119332 8.39 70.3921 590.590 2.89655 9.15969 2.03199 4.37778 9.43164 .119190 70.5600 592.704 2.89828 9.16515 2.03279 4.37952 9.43539 8.40 .119048 8.41 70.7281 594.823 2.90000 9.17061 2.03360 4.38126 9.43913 8.42 70.8964 596.948 2.90172 9.17606 2.03440 4.38299 3.44287 8.43 71.0649 599.077 2.90345 9.18150, 2.03521 4.38473 9.44661 .118906 .118765 .118624 8.44 71.2336 601.212 2.90517 9.18695 2.03601 4.38646 9.45034 .118483 8.45 71.4025 603.351 2.90689 9.19239 2.03682 4.38819 9.45407 .118343 4.38992 9.45780 .118203 4.39165 9.46152 .118064 4.39338 9.46525 .117925 4.39511 9.46897 .117786 4.39683 9.47268 .117647 n 8.51 8.52 8.53 8.54 8.55 √n √10 n in 72.4201 616.295 2.91719 9.22497 2.04163 4.39855 9.47640 .117509 72.5904 618.470 2.91890 9.23038 2.04243 4.40028 9.48011 .117871 72.7609 620.650 2.92062 9.23580 2.04323 4.40200 9.48381 .117233 72.9316 622.836 2.92233 9.24121 2.04402 4.40372 9.48752.117096 73.1025 625.026 2.92404 9.24662 2.04482 4.40543 9.49122 .116959 n2 8.71 8.72 8.73 8.74 8.75 n3 8.61 74.1321 638.277 2.93428 8.62 74.3044 640.504 2.93598 8.63 74.4769 642.736 2.93769 8.64 74.6496 644.973 2.93939 8.65 74.8225 647.215 2.94109 8.56 73.2736 627.222 2.92575 9.25203 2.04562 4.40715 9.49492 .116822 8.57 73.4449 629.423 2.92746 9.25743 2.04641 4.40887 9.49861 .116686 8.58 73.6164 631.629 2.92916 9.26283 2.04721 4.41058 8.59 73.7881 633.840 2.90387 9.26823 2.04801 4.41229 9.50600 .116414 8.60 73.9600 636.056 2.93258 9.27362 2.04880 4.41400 9.50969 .116279 8.66 74.9956 649.462 2.94279 8.67 75.1689 651.714 2.94449 8.68 75.3424 653.972 2.94618 8.69 75.5161 656.235 2.94788 8.70 75.6900 658.503 2.94958 10 n 100 n 8.91 79.3881 707.348 8.92 79.5664 709.732 8.93 79.7449 712.122 8.94 79.9236 714.517 8.95 80.1025 716.917 8.96 80.2816 719.323 8.97 80.4609 721.734 8.98 80.6404 724.151 8.99 80.8201 726.573 9.00 81.0000 729.000 1 n 9.50231.116550 9.27901 2.04959 4.41571 9.51337 .116144 9.28440 2.05039 4.41742 9.51705 .116009 9.28978 2.05118 4.41913 9.52073 .115875 9.29516 2.05197 4.42084 9.52441 .115741 9.30054 2.05276 4.42254 9.52808 .115607 9.30591 2.05355 4.42425 9.53175 .115473 9.31128 2.05434 4.42595 9.53542 .115340 9.31665 2.05513 4.42765 9.53908 .115207 9.32202 2.05592 4.42935 9.54274 .115075 9.32738 2.05671 4.43105 9.54640 114948 .114811 75.8641 660.776 2.95127 9.33274 2.05750 4.43274 9.55006 .114417 2.06064 4.43952 9.56466 .114286 9.56830 9.57557 8.76 76.7376 672.221 2.95973 9.35949 2.06143 4.44121 2.06534 4.44964 9.58647 .113507 2.06612 4.45133 9.59009 .113379 2.06690 4.45301 9.59372 .113250 2.06768 4.45469 9.59734 .113122 78.3225 693.154 2.97489 9.40744 2.06846 4.45637 9.60095 .112994 2.07235 4.46474 9.61900 .114155 .114025 .113895 .113766 .113636 2.06924 4.45805 9.60457 .112867 .112740 .112486 .112360 2.98496 9.43928 2.07313 4.46642 .112233 .112108 9.62260 .111732 2.99333 9.46573 2.07700 4.47476 9.64057 4.47974 9.65132 .111607 .111483 .111359 .111235 .111111 12 9.06 9.07 9.08 9.09 9.10 V10 n in 10 n 100 n .110988 9.01 81.1801 731.433 3.00167 9.49210 2.08085 4.48306 9.65847 9.02 81.3604 733.871 3.00333 9.49737 2.08162 4.48472 9.66204 .110865 9.03 81.5409 736.314 3.00500 9.50263 2.08239 4.48638 9.66561 .110742 9.04 81.7216 738.763 3.00666 9.50789 2.08316 4.48803 9.66918 81.9025 741.218 3.00832 9.51315 2.08393 4.48968 9.67274 .110620 .110497 9.05 n2 n3 ཙ 9.21 84.8241 781.230 3.03480 9.59687 9.22 85.0084 783.777 3.03645 9.60208 9.23 85.1929 786.330 3.03809 9.60729 9.24 85.3776 788.889 3.03974 9.61249 9.25 85.5625 791.453 3.04138 9.61769 .110375 4.49134 9.67630 2.08470 9.11 82.9921 756.058 3.01828 9.54463 2.08852 4.49959 9.69407 .109770 9.12 83.1744 758.551 3.01993 9.54987 2.08929 4.50123 9.69762 .109649 9.13 83.3569 761.048 3.02159 9.55510 2.09005 4.50288 9.70116 .109529 9.14 83.5396 763.552 3.02324 9.56033 2.09081 4.50452 9.70470 .109409 9.15 83.7225 766.061 3.02490 9.56556 2.09158 4.50616 9.70824 .109290 9.16 83.9056 768.575 3.02655 9.57079 2.09234 4.50780 9.71177 9.17 84.0889 771.095 3.02820 9.57601 2.09310 4.50945 9.71531 9.18 84.2724 773.621 3.02985 9.58123 2.09386 4.51108 9.19 84.4561 776.152 3.03150 9.58645 2.09462 4.51272 9.20 84.6400 778.688 3.03315 9.59166 2.09538 4.51436 9.71884 2.09614 4.51599 9.72941 2.09765 4.51926 9.73645 4.52089 9.73996 2.09917 9.62-08 9.26 85.7476 794.023 3.04302 9.62289 2.09992 9.72236 9.72589 1 n 4.52415 9.74699 .107991 2.10068 4.52578 9.75049 .107875 2.10144 | 4.52740 9.75400 ,107759 2.10219 4.52903 9.75750 .107643 .109170 .109051 .108933 .108814 .108696 9.36 87.6096 820.026 3.05941 9.67471 2.10746 4.54038 .108578 .108460 .108342 .108225 .108108 2.10370 4.53228 9.76450 .107411 9.65401 2.10445 4.53390 9.76799 .107296 9.65919 2.10520 4.53552 9.77148 .107181 2.11717 4.56130 9.77497.107066 9.77846.106952 9.78195 .106838 9.78543 .106724 4.54361 9.78891 .106610 4.545229.79239 .106496 4.54684 9.79586.106383 9.79933 .106270 .106157 .106045 .105932 .105820 105708 9.46 89.4916 846.591 3.07571 9.72625 2.11494 4.55649 9.81666 9.47 89.6809 849.278 3.07734 9.73139 2.11568 4.55809 9.82012 .105597 9.48 89.8704 9.49 90.0601 9.50 90.2500 2.11642 4.55970 9.82357 .105485 851.971 3.07896 9.73653 9.82703 .105374 n √n V10 n in 9.51 90.4401 860.085 3.08383 9.75192 2.11865 4.56450 9.83392 .105153 9.52 90.6304 862.801 3.08545 9.75705 2.11940 4.56610 9.83737 105042 9.53 90.8209 865.523 3.08707 9.76217 2.12014 4.56770 9.84081 .104932 9.54 91.0116 868.251 3.05869 9.76729 2.12088 4.56930 9.84425 .104822 9.55 91.2025 870.984 3.09031 9.77241 2.12162 4.57089 9.84769 .104712 9.56 91.3936 873.723 3.09192 9.77753 2.12236 4.57249 9.85113 .104603 9.57 91.5849 876.467 3.09354 9.78264 2.12310 4.57408 9.85456 104493 9.58 91.7764 879.218 3.09516 9.78775 2.12384 4.57568 9.85799 .104384 9.59 91.9681 881.974 3.09677 9.79285 2.12458 4.57727 9.86142 .104275 9.60 92.1600 884.736 3.09839 9.79796 2.12532 4.57886 9.86485 .104167 9.61 92.3521 887.504 3.10000 9.80306 2.12605 9.62 92.5444 890.277 3.10161 9.80816 2.12679 9.63 92.7369 893,056 3.10322 9.81326 2.12753 9.64 9.65 92.9296 895.841 3.10483 9.81835 2.12826 4.58521 9.87853 103734 93.1225 898.632 3.10644 9.82344 2.12900 4.58679 9.88195 .103627 124 n2 n3 10 n 100 n 1 n 4.58045 9.86827 .104058 4.58203 9.87169 103950 4.58362 9.87511 .103842 9.84378 2.13194 4.59312 9.89558 9.66 93.3156 901.429 3.10805 9.82853 2.12974 4.58838 9.88536 .102987 .102775 .102669 .102564 9.87927 2.13706 95.4529 932,575 3.12570 9.88433 2.13779 9.91 98.2081 973.242 3.14802 9.95490 2.14795 9.92 98.4064 976.191 3.14960 9.95992 2.14867 9.93 98.6049 979.147 3.15119 9.96494 2.14940 9.94 98.8036 982.108 3.15278 9.96995 2.15012 9.95 99.0025 985.075 3.15436 99.2016 988.048 9.96 9.97 99.4009 991.027 9.98 99.6004 994.012 9.99 99.001 997.003 10,00 100.000 1000.00 9.86 97.2196 958.585 3.14006 9.92975 2.14433 4.61983 9.95311 97.8121 967.362 3.14484 9.94485 9.90 2.14651 4.62451 9.96320 9.76 9.77 9.78 9.90454 2.14070 9.79 9.80 9.81 96.2361 944.076 3.13209 4.61200 9.93626 .101937 9.82 96.4324 946.966 3.13369 9.90959 2.14143 4.61357 9.93964 .101833 9.83 96.6289 949.862 3.13528 9.91464 2.14216 4.61513 9.94301 9.84 96.8256 952.764 3.13588 9.91968 2.14288 4.61670 9.94638 9.85 97.0225 955.672 3.13547 9.92472 2.14361 4.61826 9.94975 .101729 .101626 .101523 .103520 .103413 .103306 .103199 .103093 4.60416 9.91935 .102459 102250 .102145 4.61044 9.93288 .102041 3.15595 9.97998 2.15156 4.63539 9.98665 9.99667 10.0000 4.62762 9.96991 .100908 4.62918 9.97326 4.63073 9.97661 4.63229 9.97996 9.97497 2.15084 4.63384 9.98331 .100807 .100705 .101420 .101317 .101215 .101112 .101010 .100604 .100503 .100402 .100301 .100200 .100100 .100000 |