/****************************************************************** * ss_eigenvectors.m, MAGMA readable * * * * August, 1999 * * William A. Stein (was@math.berkeley.edu) * * * * This file was computed using the C++ program HECKE, then made * * MAGMA readable using PARI. * ******************************************************************/ R := PolynomialRing(Rationals()); SupersingularModule := recformat< MonodromyWeights, SupersingularBasis, Eigenvectors >; Eigen := recformat< DefiningPolynomial, Coordinates > ; MOG := [rec : i in [1..997]]; MOG[11] := // J_0(11) rec, // the two ss j-inv in char 11 Eigenvectors := [ rec ] >; MOG[17] := // J_0(17) rec, Eigenvectors := [ rec ] >; MOG[19] := // J_0(19) rec, Eigenvectors := [ rec ] >; MOG[23] := // J_0(23) rec, Eigenvectors := [ rec ] >; MOG[29] := // J_0(29) rec, Eigenvectors := [ rec ] >; MOG[31] := // J_0(31) rec, Eigenvectors := [ rec ] >; MOG[37] := // J_0(37) rec, Eigenvectors := [ rec, rec ] >; MOG[41] := // J_0(41) rec, Eigenvectors := [ rec ] >; MOG[43] := // J_0(43) rec, Eigenvectors := [ rec, rec ] >; MOG[47] := // J_0(47) rec, Eigenvectors := [ rec ] >; MOG[53] := // J_0(53) rec, Eigenvectors := [ rec, rec ] >; MOG[59] := // J_0(59) rec, Eigenvectors := [ rec ] >; MOG[61] := // J_0(61) rec, Eigenvectors := [ rec, rec ] >; MOG[67] := // J_0(67) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[71] := // J_0(71) rec, Eigenvectors := [ rec, rec ] >; MOG[73] := // J_0(73) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[79] := // J_0(79) rec, Eigenvectors := [ rec, rec ] >; MOG[83] := // J_0(83) rec, Eigenvectors := [ rec, rec ] >; MOG[89] := // J_0(89) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[97] := // J_0(97) rec, Eigenvectors := [ rec, rec ] >; MOG[101] := // J_0(101) rec, Eigenvectors := [ rec, rec ] >; MOG[103] := // J_0(103) rec, Eigenvectors := [ rec, rec ] >; MOG[107] := // J_0(107) rec, Eigenvectors := [ rec, rec ] >; MOG[109] := // J_0(109) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[113] := // J_0(113) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[127] := // J_0(127) rec, Eigenvectors := [ rec, rec ] >; MOG[131] := // J_0(131) rec, Eigenvectors := [ rec, rec ] >; MOG[137] := // J_0(137) rec, Eigenvectors := [ rec, rec ] >; MOG[139] := // J_0(139) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[149] := // J_0(149) rec, Eigenvectors := [ rec, rec ] >; MOG[151] := // J_0(151) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[157] := // J_0(157) rec, Eigenvectors := [ rec, rec ] >; MOG[163] := // J_0(163) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[167] := // J_0(167) rec, Eigenvectors := [ rec, rec ] >; MOG[173] := // J_0(173) rec, Eigenvectors := [ rec, rec ] >; MOG[179] := // J_0(179) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[181] := // J_0(181) rec, Eigenvectors := [ rec, rec ] >; MOG[191] := // J_0(191) rec, Eigenvectors := [ rec, rec ] >; MOG[193] := // J_0(193) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[197] := // J_0(197) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[199] := // J_0(199) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[211] := // J_0(211) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[223] := // J_0(223) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[227] := // J_0(227) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[229] := // J_0(229) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[233] := // J_0(233) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[239] := // J_0(239) rec, Eigenvectors := [ rec, rec ] >; MOG[241] := // J_0(241) rec, Eigenvectors := [ rec, rec ] >; MOG[251] := // J_0(251) rec, Eigenvectors := [ rec, rec ] >; MOG[257] := // J_0(257) rec, Eigenvectors := [ rec, rec ] >; MOG[263] := // J_0(263) rec, Eigenvectors := [ rec, rec ] >; MOG[269] := // J_0(269) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[271] := // J_0(271) rec, Eigenvectors := [ rec, rec ] >; MOG[277] := // J_0(277) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[281] := // J_0(281) rec, Eigenvectors := [ rec, rec ] >; MOG[283] := // J_0(283) rec, Eigenvectors := [ rec, rec ] >; MOG[293] := // J_0(293) rec, Eigenvectors := [ rec, rec ] >; MOG[307] := // J_0(307) rec, Eigenvectors := [ rec, rec, rec, rec, rec, rec, rec ] >; MOG[311] := // J_0(311) rec, Eigenvectors := [ rec, rec ] >; MOG[313] := // J_0(313) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[317] := // J_0(317) rec, Eigenvectors := [ rec, rec ] >; MOG[331] := // J_0(331) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[337] := // J_0(337) rec, Eigenvectors := [ rec, rec ] >; MOG[347] := // J_0(347) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[349] := // J_0(349) rec, Eigenvectors := [ rec, rec ] >; MOG[353] := // J_0(353) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[359] := // J_0(359) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[367] := // J_0(367) rec, Eigenvectors := [ rec, rec ] >; MOG[373] := // J_0(373) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[379] := // J_0(379) rec, Eigenvectors := [ rec, rec ] >; MOG[383] := // J_0(383) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[389] := // J_0(389) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[397] := // J_0(397) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[401] := // J_0(401) rec, Eigenvectors := [ rec, rec ] >; MOG[409] := // J_0(409) rec, Eigenvectors := [ rec, rec ] >; MOG[419] := // J_0(419) rec, Eigenvectors := [ rec, rec ] >; MOG[421] := // J_0(421) rec, Eigenvectors := [ rec, rec ] >; MOG[431] := // J_0(431) rec, Eigenvectors := [ rec, rec, rec, rec, rec, rec ] >; MOG[433] := // J_0(433) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[439] := // J_0(439) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[443] := // J_0(443) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[449] := // J_0(449) rec, Eigenvectors := [ rec, rec ] >; MOG[457] := // J_0(457) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[461] := // J_0(461) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[463] := // J_0(463) rec, Eigenvectors := [ rec, rec ] >; MOG[467] := // J_0(467) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[479] := // J_0(479) rec, Eigenvectors := [ rec, rec ] >; MOG[487] := // J_0(487) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[491] := // J_0(491) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[499] := // J_0(499) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[503] := // J_0(503) rec, Eigenvectors := [ rec, rec, rec, rec, rec, rec ] >; MOG[509] := // J_0(509) rec, Eigenvectors := [ rec, rec ] >; MOG[521] := // J_0(521) rec, Eigenvectors := [ rec, rec ] >; MOG[523] := // J_0(523) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[541] := // J_0(541) rec, Eigenvectors := [ rec, rec ] >; MOG[547] := // J_0(547) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[557] := // J_0(557) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[563] := // J_0(563) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[569] := // J_0(569) rec, Eigenvectors := [ rec, rec ] >; MOG[571] := // J_0(571) rec, Eigenvectors := [ rec, rec, rec, rec, rec, rec, rec, rec, rec ] >; MOG[577] := // J_0(577) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[587] := // J_0(587) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[593] := // J_0(593) rec, Eigenvectors := [ rec, rec, rec, rec, rec ] >; MOG[599] := // J_0(599) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[601] := // J_0(601) rec, Eigenvectors := [ rec, rec ] >; MOG[607] := // J_0(607) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[613] := // J_0(613) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[617] := // J_0(617) rec, Eigenvectors := [ rec, rec ] >; MOG[619] := // J_0(619) rec, Eigenvectors := [ rec, rec ] >; MOG[631] := // J_0(631) rec, Eigenvectors := [ rec, rec ] >; MOG[641] := // J_0(641) rec, Eigenvectors := [ rec, rec ] >; MOG[643] := // J_0(643) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[647] := // J_0(647) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[653] := // J_0(653) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[659] := // J_0(659) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[661] := // J_0(661) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[673] := // J_0(673) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[677] := // J_0(677) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[683] := // J_0(683) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[691] := // J_0(691) rec, Eigenvectors := [ rec, rec ] >; MOG[701] := // J_0(701) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[709] := // J_0(709) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[719] := // J_0(719) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[727] := // J_0(727) rec, Eigenvectors := [ rec, rec ] >; MOG[733] := // J_0(733) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[739] := // J_0(739) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[743] := // J_0(743) rec, Eigenvectors := [ rec, rec ] >; MOG[751] := // J_0(751) rec, Eigenvectors := [ rec, rec ] >; MOG[757] := // J_0(757) rec, Eigenvectors := [ rec, rec ] >; MOG[761] := // J_0(761) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[769] := // J_0(769) rec, Eigenvectors := [ rec, rec ] >; MOG[773] := // J_0(773) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[787] := // J_0(787) rec, Eigenvectors := [ rec, rec ] >; MOG[797] := // J_0(797) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[809] := // J_0(809) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[811] := // J_0(811) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[821] := // J_0(821) rec, Eigenvectors := [ rec, rec ] >; MOG[823] := // J_0(823) rec, Eigenvectors := [ rec, rec ] >; MOG[827] := // J_0(827) rec, Eigenvectors := [ rec, rec, rec, rec ] >; MOG[829] := // J_0(829) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[839] := // J_0(839) rec, Eigenvectors := [ rec, rec ] >; MOG[853] := // J_0(853) rec, Eigenvectors := [ rec, rec ] >; MOG[857] := // J_0(857) rec, Eigenvectors := [ rec, rec ] >; MOG[859] := // J_0(859) rec, Eigenvectors := [ rec, rec ] >; MOG[863] := // J_0(863) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[877] := // J_0(877) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[881] := // J_0(881) rec, Eigenvectors := [ rec, rec ] >; MOG[883] := // J_0(883) rec, Eigenvectors := [ rec, rec ] >; MOG[887] := // J_0(887) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[907] := // J_0(907) rec, Eigenvectors := [ rec, rec ] >; MOG[911] := // J_0(911) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[919] := // J_0(919) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[929] := // J_0(929) rec, Eigenvectors := [ rec, rec, rec ] >; MOG[937] := // J_0(937) rec, Eigenvectors := [ rec, rec ] >; MOG[941] := // J_0(941) rec, Eigenvectors := [ rec, rec ] >; MOG[947] := // J_0(947) rec, Eigenvectors := [ rec, rec ] >; MOG[953] := // J_0(953) rec, Eigenvectors := [ rec, rec ] >; MOG[967] := // J_0(967) rec, Eigenvectors := [ rec, rec ] >; MOG[971] := // J_0(971) rec, Eigenvectors := [ rec, rec ] >; MOG[977] := // J_0(977) rec, Eigenvectors := [ rec, rec ] >; MOG[983] := // J_0(983) rec, Eigenvectors := [ rec, rec ] >; MOG[991] := // J_0(991) rec, Eigenvectors := [ rec, rec ] >; MOG[997] := // J_0(997) rec, Eigenvectors := [ rec, rec, rec, rec, rec, rec, rec, rec ] >;