/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaría
 * Date    : April 2023
 *
 * Eigenvalues for the orthogonal modular form of level 93, sign +1
 *
 * Please reference this data as
 *
 *      Gustavo Rama and Gonzalo Tornaría,
 *      Quinary orthogonal modular forms, 2023.
 *      http://www.cmat.edu.uy/cnt/
 *
 * See also:
 *
 *      Gustavo Rama and Gonzalo Tornaría,
 *      Computation of paramodular forms,
 *      ANTS 2020. 
 *
 * Example usage (gp/pari 2.15.3):
 *
 *      ? \r lfunparamodular.gp
 *      ? \r form_93a.gp
 *      ? L93=lfunparamodular(form_93a);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L93)
 *      %4 = -132
 *
 * compute the central value
 *
 *      ? lfun(L93, 2)
 *      %5 = 0.18337836107343811432174288650225093600
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_93a=
[93, "a", 1, [[3, 1], [31, -1]],
[
  [  2,     -4], [  3,     -5], [  5,      3], [  7,     17],
  [ 11,    -10], [ 13,      0], [ 17,     84], [ 19,   -119],
  [ 23,    -34], [ 29,    150], [ 31,    -41], [ 37,    168],
  [ 41,   -275], [ 43,   -188], [ 47,   -496], [ 53,    278],
  [ 59,    383], [ 61,    408], [ 67,    592], [ 71,   -901],
  [ 73,    300], [ 79,    180], [ 83,    966], [ 89,   -630],
  [ 97,    787], [101,     27], [103,    -41], [107,    953],
  [109,   -371], [113,  -2745], [127,  -1862], [131,  -2088],
  [137,   1288], [139,   1906], [149,    428], [151,   -776],
  [157,   -859], [163,  -1183], [167,  -3400], [173,   1640],
  [179,   1538], [181,    -64], [191,    605], [193,  -1993],
  [197,    278], [199,   -478], [211,  -1253], [223,   7488],
  [227,   6888], [229,  -6020], [233,  -4845], [239,   4828],
  [241,    888], [251,   3004], [257,    415], [263,   2786],
  [269,  -5654], [271,   6332], [277,   1010], [281,   3711],
  [283,  -1112], [293,   -932], [307,  -2283], [311,   3595],
  [313,  -2116], [317,  -3369], [331,   2370], [337,  -2734],
  [347,   2690], [349,   -260], [353,  -1850], [359,   2555],
  [367,  -6362], [373,  -7819], [379,   2064], [383,  -3850],
  [389,   3554], [397,   9475], [401,   5614], [409,   5444],
  [419, -11757], [421,  -3589], [431,  -5600], [433,   1918],
  [439, -22577], [443,   2257], [449,  -9688], [457,   7662],
  [461,   3596], [463,  17626], [467,  -8769], [479,  -3875],
  [487,  -1638], [491,  13528], [499,  -5382], [503,  -4353],
  [509, -18118], [521,  -9040], [523,  10138], [541, -17687],
  [547,  27801], [557,   9934], [563, -14965], [569,  17466],
  [571, -19426], [577, -14872], [587,   1920], [593,    161],
  [599, -12731], [601,  12882], [607,   4300], [613,   4564],
  [617,  31204], [619,  -4832], [631,  20746], [641,  12254],
  [643,    606], [647,   9616], [653,  13124], [659,   1499],
  [661, -21495], [673,  35790], [677,   6164], [683,  16717],
  [691,  -9689], [701,   1221], [709,   1130], [719, -13592],
  [727, -41929], [733,  -3353], [739, -16572], [743, -10884],
  [751,  21119], [757, -38246], [761, -20304], [769,   5863],
  [773,   3818], [787, -15344], [797, -24266], [809,   2718],
  [811, -17464], [821,  32026], [823,  29702], [827, -10310],
  [829,  10944], [839,  31096], [853,   5724], [857,    900],
  [859,  19172], [863,   7524], [877,   1551], [881,  52354],
  [883,  55248], [887,   6601], [907,   6891], [911, -26676],
  [919, -21764], [929, -28302], [937, -12756], [941, -21504],
  [947,  -1782], [953,  21124], [967,  -1044], [971, -10432],
  [977, -17863], [983,  53210], [991,  51842], [997, -13751]
],[
  [ 2,    1], [ 5,  -26], [ 7,   16], [11, -240], [13, -140],
  [17,  -12], [19,   68], [23, -544], [29,  408]
]];}