ELLIPTIC FUNCTIONS TABLE (9 = 32' 



K= 1.70283 59363 12341 

 K'=2.10465 76584 91159 



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



0.00000 00000 00 0.00000 00000 00 



1 0.01892 03992 92 



2 0.03784 07985 85 



3 0.05676 11978 11 



4 0.07568 15971 69 



5 0.09460 19964 62 



0.01891 89535 35 

 0.03782 92349 54 

 0.05672 21842 74 

 0.07558 91657 Zl 

 0.09442 15798 18 



E = 1.45390 77960 65210 

 E'= 1.23012 72241 85949 



cnu 



1.00000 00000 00 

 0.99982 10205 82 

 0.99928 42183 20 

 0.99839 00008 57 

 0.99713 90464 84 

 0.99553 23024 72 



dnu 



1.00000 00000 00 

 0.99994 97432 32 

 0.99979 90499 24 

 0.99954 81508 79 

 0.99919 74301 60 

 0.99874 74241 80 



6 0.11352 23957 54 



7 0.13244 27950 47 



8 0.15136 31943 39 



9 0.17028 35936 31 

 10 0.18920 39929 24 



0.11321 08750 95 

 0.13194 85599 64 

 0.15062 62141 Zl 

 0.16923 54998 88 

 0.18776 81730 18 



0.99357 09827 49 

 0.99125 65649 33 

 0.98859 07867 34 

 0.98557 56417 ZZ 

 0.98221 33745 79 



0.99819 88204 31 

 0.99755 24558 61 

 0.99680 93149 11 

 0.99597 05272 00 

 0.99503 73649 01 



11 0.20812 43922 16 



12 0.22704 47915 08 



13 0.24596 51908 01 



14 0.26488 55900 93 



15 0.28380 59893 85 



0.20621 60934 97 

 0.22457 12357 41 

 0.24282 56985 08 

 0.26097 17143 71 

 0.27900 16587 38 



0.97850 64755 96 

 0.97445 76748 52 

 0.97006 99356 98 

 0.96534 64478 10 

 0.96029 06197 72 



0.99401 12397 88 

 0.99289 36999 82 

 0.99168 64264 12 

 0.99039 12289 97 

 0.98901 00425 69 



16 0.30272 63886 78 



17 0.32164 67879 70 



18 0.34056 71872 62 



19 0.35948 75865 55 



20 0.37840 79858 47 



0.29690 80584 08 

 0.31468 35996 17 

 0.33232 11355 83 

 0.34981 36934 99 

 0.36715 44809 91 



0.95490 60712 20 

 0.94919 66245 89 

 0.94316 62964 95 

 0.93681 92887 85 

 0.93015 99792 98 



0.98754 49225 60 

 0.98599 80404 53 

 0.98437 16790 11 

 0.98266 82274 71 

 0.98089 01761 73 



21 0.39732 83851 40 



22 0.41624 87844 32 



23 0.43516 91837 24 



24 0.45408 95830 17 



25 0.47300 99823 09 



0.38433 68920 02 

 0.40135 45121 08 

 0.41820 11232 61 

 0.43487 07079 Zl 

 0.45135 74527 05 



0.92319 29123 68 

 0.91592 27891 10 

 0.90835 44575 24 

 0.90049 29024 59 

 0.89234 32354 69 



0.97904 01115 71 

 0.97712 07107 10 

 0.97513 47357 66 

 0.97308 50284 47 

 0.97097 45043 46 



26 0.49193 03816 01 



27 0.51085 07808 94 



28 0.52977 11801 86 



29 0.54869 15794 78 



30 0.56761 19787 71 



0.46765 57512 19 

 0.48376 02066 12 

 0.49966 56333 35 

 0.51536 70584 15 

 0.53085 97221 61 



0.88391 06846 01 

 0.87520 05841 51 

 0.86621 83644 23 

 0.85696 95415 25 

 0.84745 97072 35 



0.96880 61472 20 

 0.96658 30032 54 

 0.96430 81752 93 

 0.96198 48170 90 

 0.95961 61275 64 



31 0.58653 23780 dZ 



32 0.60545 27773 55 

 ZZ 0.62437 31766 48 



34 0.64329 35759 40 



35 0.66221 39752 33 



0.54613 90783 28 

 0.56120 07937 50 

 0.57604 07474 55 

 0.59065 50292 89 

 0.60503 99380 55 



0.83769 45189 76 

 0.82767 96899 13 

 0.81742 09792 21 

 0.80692 41825 45 

 0.79619 51226 67 



0.95720 53450 99 

 0.95475 57418 92 

 0.95227 06183 66 

 0.94975 32976 71 

 0.94720 71202 dl 



36 0.68113 43745 25 



Zl 0.70005 47738 17 



38 0.71897 51731 10 



39 0.73789 55724 02 



40 0.75681 59716 94 



0.61919 19792 04 

 0.63310 78620 83 

 0.64678 44967 66 

 0.66021 89905 03 

 0.67340 86437 98 



0.78523 96404 21 

 0.77406 35858 69 

 0.76267 28097 58 

 0.75107 31552 78 

 0.73927 04501 45 



0.94463 54386 22 

 0.94204 16120 25 

 0.93942 90015 19 

 0.93680 09649 81 

 0.93416 08523 38 



41 0.77573 63709 87 



42 0.79465 67702 79 



43 0.81357 71695 71 



44 0.83249 75688 64 



45 0.85141 79681 56 



0.68635 09461 39 

 0.69904 35714 18 

 0.71148 43730 51 

 0.72367 13788 Ze 

 0.73560 27855 62 



126 



0.72727 04990 12 

 0.71507 90762 28 

 0.70270 19189 56 

 0.69014 47206 59 

 0.67741 31249 64 



0.93151 20009 41 

 0.92885 77310 91 

 0.92620 13417 34 

 0.92354 61063 20 

 0.92089 52688 32 



