ELLIPTIC FUNCTIONS TABLE 6 = 27* 



K= 1.66271 59584 91370 

 K'= 2.24354 93416 98626 



r u=(r/90)K=F(<^,k) snu 



0.00000 00000 00 0.00000 00000 00 



1 0.01847 46217 61 



2 0.03694 92435 22 



3 0.05542 38652 83 



4 0.07389 84870 44 



5 0.09237 31088 05 



0.01847 33542 92 

 0.03693 91054 62 

 0.05538 96588 Z3 

 0.07381 74365 93 

 0.09221 48861 65 



E = 1.48642 68037 44253 

 E'= 1.18258 90849 45384 



cnu 



1.00000 00000 00 

 0.99982 93530 30 

 0.99931 75183 53 

 0.99846 48144 50 

 0.99727 17714 12 

 0.99573 91298 78 



dnu 



1.00000 00000 00 

 0.99996 48307 84 

 0.99985 93736 13 

 0.99968 37798 17 

 0.99943 83012 70 

 0.99912 32898 80 



6 0.11084 77305 66 



7 0.12932 23523 27 



8 0.14779 69740 88 



9 0.16627 15958 49 

 10 0.18474 62176 10 



0.11057 44884 99 

 0.12888 87662 69 

 0.14715 02919 40 

 0.16535 16956 89 

 0.18348 56731 59 



0.99386 78395 51 

 0.99165 90573 02 

 0.98911 41448 70 

 0.98623 46661 59 

 0.98302 23841 53 



0.99873 91968 70 

 0.99828 65718 69 

 0.99776 60617 99 

 0.99717 84095 73 

 0.99652 44526 06 



11 0.20322 08393 71 



12 0.22169 54611 32 



13 0.24017 00828 93 



14 0.25864 47046 54 



15 0.27711 93264 IS 



0.20154 49930 15 

 0.21952 25042 91 

 0.23741 11435 01 

 0.25520 39414 96 

 0.27289 40300 56 



0.97947 92574 58 

 0.97560 74364 77 

 0.97140 92592 42 

 0.96688 72469 14 

 0.96204 40989 68 



0.99580 51211 39 

 0.99502 14363 94 

 0.99417 45085 53 

 0.99326 55345 78 

 0.99229 57958 7Z 



16 0.29559 39481 76 



17 0.31406 85699 37 



18 0.33254 31916 98 



19 0.35101 78134 59 



20 0.36949 24352 20 



0.29047 46481 89 

 0.30793 91481 33 

 0.32528 10010 38 

 0.34249 38023 22 

 0.35957 12766 87 



0.95688 26880 86 

 0.95140 60547 67 

 0.94561 74016 82 

 0.93952 00877 95 

 0.93311 76222 65 



0.99126 66557 99 

 0.99017 95570 54 

 0.98903 60189 15 

 0.98783 76343 70 

 0.98658 60671 28 



21 0.38796 70569 81 



22 0.40644 16787 42 



23 0.42491 63005 03 



24 0.44339 09222 64 



25 0.46186 55440 25 



0.37650 72827 88 

 0.39329 58175 41 

 0.40993 10200 70 

 0.42640 71752 90 

 0.44271 87171 04 



0.92641 36581 SO 

 0.91941 19859 48 

 0.91211 65269 77 

 0.90453 13266 34 

 0.89666 05475 46 



0.98528 30485 31 

 0.98393 03743 77 

 0.98252 99016 51 

 0.98108 35451 95 

 0.97959 32743 08 



26 0.48034 01657 86 



27 0.49881 47875 47 



28 0.51728 94093 08 



29 0.53576 40310 69 



30 0.55423 86528 30 



0.45886 02312 45 

 0.47482 64577 26 

 0.49061 22929 23 

 0.50621 27912 92 

 0.52162 31667 01 



0.88850 84626 39 

 0.88007 94481 43 

 0.87137 79765 59 

 0.86240 86096 12 

 0.85317 59912 00 



0.97806 11092 92 

 0.97648 91179 59 

 0.97487 94121 03 

 0.97323 41439 48 

 0.97155 55025 80 



31 0.57271 32745 91 



32 0.59118 78963 52 



33 0.60966 25181 14 



34 0.62813 71398 75 



35 0.64661 17616 36 



0.53683 87934 14 

 0.55185 52067 08 

 0.56666 81031 40 

 0.58127 33404 71 

 0.59566 69372 60 



0.84368 48403 79 

 0.83393 99443 78 

 0.82394 61516 90 

 0.81370 83652 37 

 0.80323 15356 45 



0.96984 57103 75 

 0.96810 70194 30 

 0.96634 17080 05 

 0.96455 20769 85 

 0.96274 04463 70 



Z6 0.66508 62,^ZZ 97 



2>7 0.68356 10051 58 



38 0.70203 56269 19 



39 0.72051 02486 80 



40 0.73898 48704 41 



0.60984 50721 23 

 0.62380 40826 92 

 0.63754 04642 61 

 0.65105 08681 52 

 0.66433 20997 94 



0.79252 06546 25 

 0.78158 07484 94 

 0.77041 68718 49 

 0.75903 41013 94 

 0.74743 75299 54 



0.96090 91517 99 

 0.95906 05411 18 

 0.95719 69709 94 

 0.95532 08035 84 

 0.95343 44032 68 



41 0.75745 94922 02 



42 0.77593 41139 63 



43 0.79440 87357 24 



44 0.81288 33574 85 



45 0.83135 79792 46 



0.67738 11165 51 

 0.69019 50252 94 

 0.70277 10797 36 

 0.71510 66775 58 

 0.72719 93573 16 



106 



0.73563 22606 71 

 0.72362 34014 04 

 0.71141 60593 40 

 0.69901 53358 21 

 0.68642 63214 06 



0.95154 01334 42 

 0.94964 03533 87 

 0.94773 74152 07 

 0.94583 36608 52 

 0.94393 14192 19 



