ELLIPTIC FUNCTIONS TABLE 6 = 30' 



K = 1.68575 03548 12596 

 K'= 2.15651 56474 99643 



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



0.00000 00000 00 0.00000 00000 00 



1 0.01873 05594 98 



2 0.03746 11189 96 



3 0.05619 16784 94 



4 0.07492 22379 92 



5 0.09365 27974 90 



0.01872 91905 62 

 0.03745 01696 09 

 0.05615 47361 35 

 0.07483 47101 10 

 0.09348 19428 89 



E = 1.46746 22093 39427 

 E'= 1.21105 60275 68459 



1.00000 00000 00 

 0.99982 45933 27 

 0.99929 84963 44 

 0.99842 20778 86 

 0.99719 59517 38 

 0.99562 09752 48 



dnu 



1.00000 00000 00 

 0.99995 61512 16 

 0.99982 46702 29 

 0.99960 57529 86 

 0.99929 97255 1% 

 0.99890 70435 17 



6 0.11238 33569 88 



7 0.13111 39164 85 



8 0.14984 44759 83 



9 0.16857 50354 81 

 10 0.18730 55949 79 



0.11208 83275 04 

 0.13064 58088 30 

 0.14914 63935 11 

 0.16758 21600 60 

 0.18594 52677 91 



0.99369 82473 Id 

 0.99142 91062 07 

 0.98881 51259 38 

 0.98585 81133 36 

 0.98256 01037 02 



0.99842 82907 20 

 0.99786 41782 12 

 0.99721 55425 59 

 0.99648 33440 19 

 0.99566 86644 39 



11 0.20603 61544 11 



12 0.22476 67139 75 



13 0.24349 72734 1Z 



14 0.26222 78329 71 



15 0.28095 83924 69 



0.20422 79667 31 

 0.22242 26063 08 

 0.24052 16440 96 

 0.25851 76541 49 

 0.27640 33349 70 



0.97892 33563 49 

 0.97495 03496 09 

 0.97064 Zim 99 

 0.96600 65333 59 

 0.96104 17245 97 



0.99477 27048 94 

 0.99379 67830 75 

 0.99274 23304 57 

 0.99161 08892 22 

 0.99040 41089 90 



16 0.29968 89519 67 



17 0.31841 95114 65 



18 0.33715 00709 63 



19 0.35588 06304 60 



20 0.37461 11899 58 



0.29417 15170 95 

 0.31181 51702 59 

 0.32932 74101 49 

 0.34670 15047 04 

 0.36393 08799 62 



0.95575 26450 55 

 0.95014 27785 32 

 0.94421 57893 85 

 0.93797 55149 45 

 0.93142 59576 64 



0.98912 37433 Z1 

 0.98777 16461 30 

 0.98634 97676 95 

 0.98486 01508 13 

 0.98330 49265 88 



21 0.39334 17494 56 



22 0.41207 23089 54 



23 0.43080 28684 52 



24 0.44953 34279 50 



25 0.46826 39874 48 



0.38100 91254 49 

 0.39792 99990 81 

 0.41468 74315 91 

 0.43127 55304 66 

 0.44768 85833 92 



0.92457 12770 38 

 0.91741 57813 29 

 0.90996 39191 09 

 0.90222 02706 11 

 0.89418 95393 60 



0.98168 63101 1Z 

 0.98000 65963 85 

 0.97826 81552 21 

 0.97647 34272 91 

 0.97462 49191 74 



26 0.48699 45469 46 



27 0.50572 51064 44 



28 0.52445 56659 42 



29 0.54318 62254 40 



30 0.56191 67849 38 



0.46392 10612 13 

 0.47996 76203 96 

 0.49582 31050 10 

 0.51148 25482 27 

 0.52694 11733 44 



0.88587 65427 32 

 0.87728 62037 96 

 0.86842 35421 Z1 

 0.85929 36650 87 

 0.84990 17589 32 



0.97272 51987 28 

 0.97077 68903 53 

 0.96878 26702 28 

 0.96674 52615 42 

 0.96466 74297 18 



31 0.58064 73444 35 



32 0.59937 79039 ZZ 

 ZZ 0.61810 84634 31 



34 0.63683 90229 29 



35 0.65556 95824 27 



0.54219 43943 41 

 0.55723 78159 85 

 0.57206 72334 88 

 0.58667 86317 33 

 0.60106 81840 83 



0.84025 30801 1(> 

 0.83035 29469 06 

 0.82020 67302 63 

 0.80981 98460 57 

 0.79919 77465 45 



0.96255 19776 54 

 0.96040 17409 96 

 0.95821 95834 42 

 0.95600 83921 01 

 0.95377 10729 10 



36 0.67430 01419 25 



37 0.69303 07014 23 



38 0.71176 12609 21 



39 0.73049 18204 19 



40 0.74922 23799 17 



0.61523 22507 93 

 0.62916 1Z11<) 33 

 0.64287 02905 40 

 0.65633 78989 29 

 0.66956 72866 67 



0.78834 59123 91 

 0.77726 98448 27 

 0.76597 50580 41 

 0.75446 70717 99 

 0.74275 14043 24 



0.95151 05461 30 

 0.94922 97419 06 

 0.94693 15959 38 

 0.94461 90452 28 

 0.94229 50239 48 



41 0.76795 29394 15 



42 0.78668 34989 13 



43 0.80541 40584 10 



44 0.82414 46179 08 



45 0.84287 51774 06 



0.68255 57117 39 

 0.69530 06020 16 

 0.70779 95513 65 

 0.72005 03154 93 

 0.73205 08075 69 



118 



0.73083 35654 39 

 0.71871 90500 02 

 0.70641 33316 17 

 0.69392 18566 66 

 0.68125 00386 ZZ 



0.93996 24594 06 

 0.93762 42681 42 

 0.93528 33521 30 

 0.93294 25951 20 

 0.93060 48591 02 



