ELLIPTIC FUNCTIONS TABLE d = 13' 



K = 1.59125 43820 13687 



K'= 2.90256 49406 70027 



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



45 0.79562 71910 07 0.71168 15730 50 



46 0.81330 77952 51 0.72383 02993 11 



47 0.83098 83994 96 0.73575 33084 00 



48 0.84866 90037 41 0.74744 72872 64 



49 0.86634 96079 85 0.75890 90057 67 



50 0.88403 02122 30 0.77013 53167 50 



E = 1.55073 19509 84013 

 E'= 1.06105 93337 53857 



0.70250 21982 74 

 0.68997 80415 34 

 0.67724 96357 90 

 0.66432 11217 19 

 0.65119 66837 80 

 0.63788 05482 95 



dnu 



0.98710 18512 72 

 0.98665 47354 81 

 0.98620 83665 40 

 0.98576 32870 37 

 0.98532 00372 60 

 0.98487 91545 44 



51 0.90171 08164 74 



52 0.91939 14207 19 



53 0.93707 20249 64 



54 0.95475 26292 08 



55 0.97243 32334 53 



0.78112 31560 35 

 0.79186 95423 67 

 0.80237 15773 13 

 0.81262 64451 10 

 0.82263 14124 70 



0.62437 69815 63 

 0.61069 02880 11 

 0.59682 48083 99 

 0.58278 49180 51 

 0.56857 50251 44 



0.98444 11726 40 

 0.98400 66210 72 

 0.98357 60245 20 

 0.98314 99021 99 

 0.98272 87672 57 



56 0.99011 38376 97 



57 1.00779 44419 42 



58 1.02547 50461 87 



59 1.04315 56504 31 



60 1.06083 62546 76 



0.83238 38283 41 

 0.84188 11236 29 

 0.85112 08108 85 

 0.86010 04839 60 

 0.86881 78176 28 



0.55419 95690 ZZ 

 0.53966 30186 30 

 0.52496 98708 29 

 0.51012 46489 74 

 0.49513 19013 87 



0.98231 31261 79 

 0.98190 34782 01 

 0.98150 03147 39 

 0.98110 41188 25 

 0.98071 53645 63 



61 1.07851 68589 20 



62 1.09619 74631 65 



63 1.11387 80674 10 



64 1.13155 86716 54 



65 1.14923 92758 99 



0.87727 05671 84 

 0.88545 65680 14 

 0.89337 37351 56 

 0.90102 00628 28 

 0.90839 36239 50 



0.47999 61999 Z6 

 0.46472 21386 59 

 0.44931 43324 Z6 

 0.43377 74157 12 

 0.41811 60412 70 



0.98033 45165 88 

 0.97996 20295 49 

 0.97959 83475 97 

 0.97924 39038 92 

 0.97889 91201 23 



66 1.16691 98801 43 



67 1.18460 04843 88 



68 1.20228 10886 2>2, 



69 1.21996 16928 77 



70 1.23764 22971 22 



0.91549 25696 56 

 0.92231 51287 94 

 0.92885 96074 16 

 0.93512 43882 76 

 0.94110 79303 17 



0.40233 48790 55 

 0.38643 86150 46 

 0.37043 19501 76 

 0.35431 95993 05 

 0.33810 62902 33 



0.97856 44060 46 

 0.97824 01590 30 

 0.97792 67636 26 

 0.97762 45911 49 

 0.97733 39992 77 



71 1.25532 29013 66 



72 1.27300 35056 11 

 7Z 1.29068 41098 56 



74 1.30836 47141 00 



75 1.32604 53183 45 



0.94680 87681 65 

 0.95222 55116 30 

 0.95735 68452 09 

 0.96220 15276 03 

 0.96675 83912 49 



0.32179 67627 65 

 0.30539 57678 18 

 0.28890 80665 75 

 0.27233 84296 75 

 0.25569 16364 50 



0.97705 53316 63 

 0.97678 89175 69 

 0.97653 50715 11 

 0.97629 40929 27 

 0.97606 62658 58 



76 1.34372 59225 89 



77 1.36140 65268 34 



78 1.37908 71310 79 



79 1.39676 77ZS2 23 



80 1.41444 83395 68 



0.97102 63418 54 

 0.97500 43579 64 

 0.97869 14905 Z7 

 0.98208 68625 40 

 0.98518 96685 74 



0.23897 24742 00 

 0.22218 57375 04 

 0.20533 62275 65 

 0.18842 87515 93 

 0.17146 81222 15 



0.97585 18586 49 

 0.97565 11236 63 

 0.97546 42970 20 

 0.97529 15983 45 

 0.97513 32305 43 



81 1.43212 89438 12 



82 1.44980 95480 57 



83 1.46749 01523 02 



84 1.48517 07565 46 



85 1.50285 13607 91 



0.98799 91745 16 

 0.99051 47171 91 

 0.99273 57040 69 

 0.99466 16129 90 

 0.99629 19919 20 



0.15445 91569 20 

 0.13740 66775 24 

 0.12031 55096 69 

 0.10319 04823 2>6 

 0.08603 64273 84 



0.97498 93795 87 

 0.97486 02143 19 

 0.97474 58862 84 

 0.97464 65295 66 

 0.97456 22606 52 



86 1.52053 19650 35 



87 1.53821 25692 80 



88 1.55589 31735 24 



89 1.57357 37777 69 



90 1.59125 43820 14 



0.99762 64587 36 

 0.99866 47010 46 

 0.99940 64760 34 

 0.99985 16103 45 

 1.00000 00000 00 



52 



0.06885 81791 04 

 0.05166 05737 92 

 0.03444 84493 30 

 0.01722 66447 84 

 0.00000 00000 00 



0.97449 31783 11 

 0.97443 93634 94 

 0.97440 08792 50 

 0.97437 77706 58 

 0.97437 00647 85 



