ELLIPTIC FUNCTIONS TABLE O — W 



K= 1.78676 91348 85021 

 K'= 1.93558 10960 04722 



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



0.00000 00000 00 0.00000 00000 00 



1 0.01985 29903 88 



2 0.03970 59807 75 



3 0.05955 89711 63 



4 0.07941 19615 50 



5 0.09926 49519 38 



0.01985 11475 77 

 0.03969 12425 80 

 0.05950 92538 52 

 0.07929 41929 76 

 0.09903 51354 03 



E = 1.39314 02485 23812 

 E'= 1.30553 90942 97794 



cnu 



1.00000 00000 00 

 0.99980 29465 55 

 0.99921 19921 53 

 0.99822 77539 25 

 0.99685 12581 93 

 0.99508 39371 41 



dnu 



1.00000 00000 00 

 0.99991 85869 71 

 0.99967 44894 43 

 0.99926 81316 61 

 0.99870 02192 52 

 0.99797 17370 74 



6 0.11911 79423 26 



7 0.13897 09327 13 



8 0.15882 39231 01 



9 0.17867 69134 89 

 10 0.19852 99038 76 



0.11872 12412 95 

 0.13834 17759 80 

 0.15788 61299 49 

 0.17734 38382 92 

 0.19670 45994 89 



0.99292 76241 83 

 0.99038 45480 51 

 0.98745 73256 45 

 0.98414 89536 75 

 0.98046 27991 62 



0.99708 39462 12 

 0.99603 83801 49 

 0.99483 68401 29 

 0.99348 13897 47 

 0.99197 43487 84 



11 0.21838 28942 64 



12 0.23823 58846 51 



13 0.25808 88750 39 



14 0.27794 18654 27 



15 0.29779 48558 14 



0.21595 82934 98 

 0.23509 49990 47 

 0.25410 50100 76 

 0.27297 88512 61 

 0.29170 72925 67 



0.97640 25888 28 

 0.97197 23974 59 

 0.96717 66352 92 

 0.96202 00344 92 

 0.95650 76348 17 



0.99031 82863 34 

 0.98851 60132 53 

 0.98657 05739 79 

 0.98448 52377 57 

 0.98226 34893 31 



16 0.31764 78462 02 



17 0.33750 08365 89 



18 0.35735 38269 77 



19 0.37720 68173 65 



20 0.39705 98077 52 



0.31028 13627 95 

 0.32869 23620 54 

 0.34693 18731 56 

 0.36499 17718 84 

 0.38286 42361 25 



0.95064 47685 13 

 0.94443 70445 55 

 0.93789 03322 82 

 0.93101 07445 44 

 0.92380 46204 13 



0.97990 90191 36 

 0.97742 57130 58 

 0.97481 76418 00 

 0.97208 90499 12 

 0.96924 43445 45 



21 0.41691 27981 40 



22 0.43676 57885 27 



23 0.45661 87789 15 



24 0.47647 17693 03 



25 0.49632 47596 90 



0.40054 17538 46 

 0.41801 71299 21 

 0.43528 34917 87 

 0.45233 42939 61 

 0.46916 33214 13 



0.91627 85075 65 

 0.90843 91444 08 

 0.90029 34420 39 

 0.89184 84661 12 

 0.88311 14187 02 



0.96628 80839 77 

 0.96322 49659 57 

 0.96005 98159 40 

 0.95679 75752 44 

 0.95344 32891 89 



26 0.51617 77500 78 



27 0.53603 07404 66 



28 0.55588 37308 53 



29 0.57573 67212 41 



30 0.59558 97116 28 



0.48576 46918 IS 

 0.50213 28567 06 

 0.51826 26015 77 

 0.53414 90449 30 

 0.54978 76363 41 



0.87408 96202 25 

 0.86479 04915 16 

 0.85522 15360 99 

 0.84539 03227 51 

 0.83530 44683 98 



0.95000 20952 71 

 0.94647 92114 07 

 0.94287 99243 01 

 0.93920 95779 76 

 0.93547 35625 03 



31 0.61544 27020 16 



32 0.63529 56924 04 



33 0.65514 86827 91 



34 0.67500 16731 79 



35 0.69485 46635 66 



0.56517 41535 70 

 0.58030 46987 58 

 0.59517 56937 63 

 0.60978 38746 92 

 0.62412 62856 62 



0.82497 16214 12 

 0.81439 94453 58 

 0.80359 56032 44 

 0.79256 77423 20 

 0.78132 34794 54 



0.93167 73029 75 

 0.92782 62487 49 

 0.92392 58629 91 

 0.91998 16125 53 

 0.91599 89582 08 



36 0.71470 76539 54 



37 0.73456 06443 42 



38 0.75441 36347 29 



39 0.77426 66251 17 



40 0.79411 96155 04 



0.63820 02718 66 

 0.65200 34719 74 

 0.66553 38099 50 

 0.67878 94863 20 

 0.69176 89689 49 



0.76987 03871 37 

 0.75821 59801 36 

 0.74636 77028 20 

 0.73433 29171 85 

 0.72211 88915 96 



0.91198 33452 53 

 0.90794 01945 17 

 0.90387 48937 71 

 0.89979 27895 68 

 0.89569 91795 07 



41 0.81397 26058 92 



42 0.83382 55962 80 



43 0.85367 85866 67 



44 0.87353 15770 55 



45 0.89338 45674 43 



0.70447 09833 95 

 0.71689 45028 78 

 0.72903 87379 23 

 0.74090 31257 27 

 0.75248 73193 06 



158 



0.70973 27902 49 

 0.69718 16633 73 

 0.68447 24381 65 

 0.67161 19104 72 

 0.65860 67371 99 



0.89159 93049 44 

 0.88749 83441 36 

 0.88340 14058 42 

 0.87931 35233 50 

 0.87523 96489 64 



