ELLIPTIC FUNCTIONS TABLE 6 = 2^' 



K= 1.64260 41437 12491 

 K'= 2.34390 47244 46913 



r u=(r/90)K=F((/.,k) 



45 0.82130 20718 56 



46 0.83955 32290 09 



47 0.85780 43861 61 



48 0.87605 55433 13 



49 0.89430 67004 66 



50 0.91255 78576 18 



0.72290 39673 11 

 0.73483 72051 78 

 0.74652 89135 82 

 0.75797 66743 01 

 0.76917 81849 28 

 0.78013 12561 50 



E = 1.50366 21353 53715 

 E'= 1.15454 66775 24465 



0.69094 85176 52 

 0.67824 35269 78 

 0.66535 29748 83 

 0.65228 16578 87 

 0.63903 43651 40 

 0.62561 58751 01 



dnu 



0.95579 57196 19 

 0.95428 90685 93 

 0.95278 66219 68 

 0.95129 01917 02 

 0.94980 15739 53 

 0.94832 25470 60 



51 0.93080 90147 70 



52 0.94906 01719 23 



53 0.96731 13290 75 



54 0.98556 24862 27 



55 1.00381 36433 80 



0.79083 38089 01 

 0.80128 38714 36 

 0.81147 95763 05 

 0.82141 91572 66 

 0.83110 09461 27 



0.61203 09524 02 

 0.59828 43449 21 

 0.58438 07810 33 

 0.57032 49670 82 

 0.55612 15850 39 



0.94685 48695 76 

 0.94540 02783 66 

 0.94396 04867 67 

 0.94253 71828 18 

 0.94113 20275 37 



56 1.02206 48005 32 



57 1.04031 59576 85 



58 1.05856 71148 37 



59 1.07681 82719 89 



60 1.09506 94291 42 



0.84052 33695 44 

 0.84968 49457 69 

 0.85858 42813 80 

 0.86722 00679 79 

 0.87559 10788 97 



0.54177 52903 65 

 0.52729 07100 76 

 0.51267 24410 07 

 0.49792 50482 69 

 0.48305 30639 14 



0.93974 66532 84 

 0.93838 26621 68 

 0.93704 16245 31 

 0.93572 50774 88 

 0.93443 45235 34 



61 1.11332 05862 94 



62 1.13157 17434 46 



63 1.14982 29005 99 



64 1 . 16807 40577 51 



65 1.18632 52149 03 



0.88369 61658 79 

 0.89153 42558 01 

 0.89910 43473 91 

 0.90640 55079 86 

 0.91343 68703 26 



0.46806 09857 81 

 0.45295 32765 45 

 0.43773 43629 44 

 0.42240 86352 01 

 0.40698 04466 19 



0.93317 14292 07 

 0.93193 72238 25 

 0.93073 32982 64 

 0.92956 10038 14 

 0.92842 16510 85 



66 1.20457 63720 56 



67 1.22282 75292 08 



68 1.24107 86863 61 



69 1.25932 98435 13 



70 1.27758 10006 65 



0.92019 76293 91 

 0.92668 70393 01 

 0.93290 44102 62 

 0.93884 91056 02 

 0.94452 05388 64 



0.39145 41133 55 

 0.37583 39143 72 

 0.36012 40915 48 

 0.34432 88499 53 

 0.32845 23582 88 



0.92731 65089 62 

 0.92624 68036 35 

 0.92521 37176 62 

 0.92421 83890 99 

 0.92326 19106 79 



71 1.29583 21578 18 



72 1.31408 33149 70 



73 1.33233 44721 22 



74 1.35058 56292 75 



75 1.36883 67864 27 



0.94991 81709 94 

 0.95504 15076 17 

 0.95989 00964 08 

 0.96446 35245 61 

 0.96876 14163 69 



0.31249 87494 63 

 0.29647 21213 34 

 0.28037 65375 65 

 0.26421 60286 42 

 0.24799 45929 93 



0.92234 53290 33 

 0.92146 96439 70 

 0.92063 58077 97 

 0.91984 47246 83 

 0.91909 72500 79 



76 1.38708 79435 79 



77 1.40533 91007 32 



78 1.42359 02578 84 



79 1.44184 14150 37 



80 1.46009 25721 89 



0.97278 34309 19 

 0.97652 92598 93 

 0.97999 86255 04 

 0.98319 12785 47 

 0.98610 69965 84 



0.23171 61982 47 

 0.21538 47825 94 

 0.19900 42562 62 

 0.18257 85030 86 

 0.16611 13821 78 



0.91839 41901 61 

 0.91773 63013 32 

 0.91712 42897 54 

 0.91655 88109 19 

 0.91604 04692 63 



81 1.47834 37293 41 



82 1.49659 48864 94 



83 1.51484 60436 46 



84 1.53309 72007 98 



85 1.55134 83579 51 



0.98874 55822 58 

 0.99110 68617 51 

 0.99319 06833 69 

 0.99499 69162 77 

 0.99652 54493 77 



0.14960 67296 78 

 0.13306 83605 90 

 0.11650 00706 86 

 0.09990 56384 77 

 0.08328 88272 44 



0.91556 98178 06 

 0.91514 73578 37 

 0.91477 35386 25 

 0.91444 87571 68 

 0.91417 33579 72 



86 1.56959 95151 03 



87 1.58785 06722 55 



88 1.60610 18294 08 



89 1.62435 29865 60 



90 1.64260 41437 12 



0.99777 61903 28 

 0.99874 90647 16 

 0.99944 40153 71 

 0.99986 10018 39 

 1.00000 00000 00 



96 



0.06665 33871 19 

 0.05000 30572 05 

 0.03334 15677 46 

 0.01667 26423 09 

 0.00000 00000 00 



0.91394 76328 59 

 0.91377 18208 06 

 0.91364 61078 22 

 0.91357 06268 38 

 0.91354 54576 43 



