ELLIPTIC FUNCTIONS TABLE e = 50° 



K = 1.93558 10960 04722 

 K'= 1.78676 91348 85021 



r u=(r/9O)K=F(0,k) sn u 



0.00000 00000 00 0.00000 00000 00 



1 0.02150 64566 22 



2 0.04301 29132 45 



3 0.06451 93698 67 



4 0.08602 58264 89 



5 0.10753 22831 11 



0.02150 38262 11 

 0.04299 18787 47 

 0.06444 84278 25 

 0.08585 78311 85 

 0.10720 45771 75 



E = 1.30553 90942 97794 

 E'= 1.39314 02485 23812 



1.00000 00000 00 

 0.99976 87659 95 

 0.99907 54217 58 

 0.99792 10390 36 

 0.99630 73987 60 

 0.99423 69831 35 



dnu 



1.00000 00000 00 

 0.99986 43127 98 

 0.99945 75389 06 

 0.99878 05402 36 

 0.99783 47492 49 

 0.99662 21628 95 



6 0.12903 87397 34 



7 0.15054 51963 56 



8 0.17205 16529 78 



9 0.19355 81096 00 

 10 0.21506 45662 23 



0.12847 33270 49 

 0.14964 89562 15 

 0.17071 65941 86 

 0.19166 16630 28 

 0.21246 99140 59 



0.99171 29646 41 

 0.98873 91920 54 

 0.98532 01735 83 

 0.98146 10572 64 

 0.97716 76087 65 



0.99514 53341 95 

 0.99340 73615 44 

 0.99141 18758 04 

 0.98916 30253 00 

 0.98666 54588 30 



11 0.23657 10228 45 



12 0.25807 74794 67 



13 0.27958 39360 90 



14 0.30109 03927 12 



15 0.32259 68493 34 



0.23312 74626 33 

 0.25362 08208 14 

 0.27393 69277 87 

 0.29406 31778 72 

 0.31398 74460 28 



0.97244 61867 71 

 0.96730 37161 36 

 0.96174 76590 01 

 0.95578 59841 09 

 0.94942 71345 06 



0.98392 43068 31 

 0.98094 51608 25 

 0.97773 40513 19 

 0.97429 74243 16 

 0.97064 21165 93 



16 0.34410 33059 56 



17 0.36560 97625 79 



18 0.38711 62192 01 



19 0.40862 26758 23 



20 0.43012 91324 45 



0.33369 81107 51 

 0.35318 40743 02 

 0.37243 47802 24 

 0.39144 02281 08 

 0.41019 09856 32 



0.94267 99938 90 

 0.93555 38518 22 

 0.92805 83680 35 

 0.92020 35360 83 

 0.91199 96465 50 



0.96677 53299 47 

 0.96270 46045 65 

 0.95843 77917 04 

 0.95398 30258 65 

 0.94934 86966 27 



21 0.45163 55890 68 



22 0.47314 20456 90 



23 0.49464 85023 12 



24 0.51615 49589 35 



25 0.53766 14155 57 



0.42867 81978 68 

 0.44689 35939 11 

 0.46482 94908 85 

 0.48247 87953 97 

 0.49983 50025 ZZ 



0.90345 72500 53 

 0.89458 71202 52 

 0.88540 02170 79 

 0.87590 76503 79 

 0.86612 06441 61 



0.94454 34203 28 

 0.93957 60117 Z7 

 0.93445 54559 03 

 0.92919 08803 14 

 0.92379 15275 13 



26 0.55916 78721 79 



27 0.58067 43288 01 



28 0.60218 07854 24 



29 0.62368 72420 46 



30 0.64519 36986 68 



0.51689 21924 98 

 0.53364 50250 20 

 0.55008 87316 39 

 0.56621 91060 20 

 0.58203 24924 34 



0.85605 05016 26 

 0.84570 85711 23 

 0.83510 62131 99 

 0.82425 47688 54 

 0.81316 55291 21 



0.91826 67283 07 

 0.91262 58756 93 

 0.90687 83995 98 

 0.90103 37425 49 

 0.89510 13363 45 



31 0.66670 01552 91 



32 0.68820 66119 13 

 2,Z 0.70971 30685 35 



34 0.73121 95251 57 



35 0.75272 59817 80 



0.59752 57725 48 

 0.61269 63506 82 

 0.62754 21376 78 

 0.64206 15335 40 

 0.65625 34089 97 



0.80184 97060 80 

 0.79031 84053 66 

 0.77858 26002 67 

 0.76665 31074 41 

 0.75454 05643 04 



0.88909 05798 19 

 0.88301 08177 39 

 0.87687 13209 11 

 0.87068 12675 17 

 0.86444 97257 17 



36 0.77423 24384 02 



Z7 0.79573 88950 24 



38 0.81724 53516 46 



39 0.83875 18082 69 



40 0.86025 82648 91 



0.67011 70861 31 

 0.68365 23182 27 

 0.69685 92689 79 

 0.70973 84911 87 

 0.72229 09050 90 



0.74225 54081 15 

 0.72980 78567 56 

 0.71720 78912 27 

 0.70446 52398 29 

 0.69158 93640 19 



0.85818 56375 33 

 0.85189 78040 ZZ 

 0.84559 48717 88 

 0.83928 53206 27 

 0.83297 74526 43 



41 0.88176 47215 13 



42 0.90327 11781 Z6 



43 0.92477 76347 58 



44 0.94628 40913 80 



45 0.96779 05480 02 



0.73451 77764 33 

 0.74642 06944 15 

 0.75800 15495 94 

 0.76926 25118 85 

 0.78020 60087 10 



198 



0.67858 94459 12 

 0.66547 43773 80 

 0.65225 27507 13 

 0.63893 28507 82 

 0.62552 26486 49 



0.82667 93824 Z7 

 0.82039 90285 74 

 0.81414 41062 02 

 0.80792 21208 02 

 0.80174 03630 14 



