/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaría
 * Date    : April 2023
 *
 * Eigenvalues for the orthogonal modular form of level 91, 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_91a.gp
 *      ? L69=lfunparamodular(form_91a);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L91)
 *      %4 = -134
 *
 * compute the central value
 *
 *      ? lfun(L91, 2)
 *      %5 = 0.17403429598947416609226788354068833236
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_91a=
[91, "a", 1, [[7, -1], [13, 1]],
[
  [  2,     -5], [  3,     -1], [  5,     -5], [  7,     12],
  [ 11,    -18], [ 13,     -1], [ 17,    -93], [ 19,     36],
  [ 23,     28], [ 29,    332], [ 31,     88], [ 37,   -351],
  [ 41,   -178], [ 43,     51], [ 47,    -43], [ 53,   -166],
  [ 59,    484], [ 61,      0], [ 67,    -38], [ 71,   1183],
  [ 73,    192], [ 79,    204], [ 83,    -82], [ 89,   -368],
  [ 97,  -1124], [101,  -1092], [103,    716], [107,   -296],
  [109,   2209], [113,   -152], [127,  -3088], [131,    805],
  [137,   1886], [139,   2665], [149,   1756], [151,  -1365],
  [157,   1418], [163,   2636], [167,     12], [173,  -4960],
  [179,  -1069], [181,  -2164], [191,  -3350], [193,   3734],
  [197,   -149], [199,   -534], [211,  -3085], [223,    -81],
  [227,  -2546], [229,    497], [233,    775], [239,   1133],
  [241,   2344], [251,   1466], [257,  -6429], [263,   3196],
  [269,  -6836], [271,   1209], [277,   2522], [281,  -3528],
  [283,    602], [293,   6435], [307,  -1308], [311,    674],
  [313,  -2619], [317,   8356], [331,   3108], [337,   -939],
  [347,  10255], [349,  -7225], [353,   1790], [359,    280],
  [367,   1686], [373,   8138], [379,   3936], [383,  -9701],
  [389,   7972], [397,   3646], [401,   7062], [409,  -7654],
  [419,  -5721], [421,   2885], [431, -14035], [433,   4701],
  [439,  -6718], [443,   2941], [449,  -9368], [457,   3936],
  [461,  -7589], [463,  -2744], [467,   2522], [479, -13835],
  [487,  -3512], [491,  27255], [499, -10956], [503, -11806],
  [509,  25550], [521,  -6795], [523,    890], [541,  13331],
  [547,  -1787], [557,  -6789], [563,  -5043], [569,   6037],
  [571,  12449], [577,   5356], [587,   7590], [593,   6236],
  [599, -18114], [601,  -9241], [607,  -1354], [613,   7564],
  [617,  -3114], [619,   3538], [631,  17879], [641,   -692],
  [643,  -8096], [647,  -6026], [653,  -3502], [659,   1028],
  [661,   2518], [673,    719], [677, -21008], [683,  -8128],
  [691,  -2034], [701, -10930], [709,  -6312], [719,   -898],
  [727, -19402], [733,   6289], [739,  -5172], [743,  11293],
  [751,  25040], [757, -19698], [761,  19100], [769, -39410],
  [773,  11447], [787,  18190], [797,  13866], [809, -26051],
  [811,    514], [821, -25871], [823, -39930], [827,   1386],
  [829,  -8158], [839,  -5684], [853, -57847], [857,   8116],
  [859,   6790], [863, -16343], [877, -22401], [881,  23263],
  [883,  18941], [887, -20460], [907,  23619], [911,  45698],
  [919, -10528], [929,   4114], [937,  38528], [941,   6885],
  [947,  12998], [953, -18287], [967,   6003], [971, -25825],
  [977,  34132], [983,  34617], [991,  10618], [997,  -2570]
],[
  [ 2,    4], [ 3,  -10], [ 5,  -16], [11, -184], [17,  110],
  [19, -604], [23, -896], [29, 1292], [31, -1312]
]];}