/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaría
 * Date    : April 2023
 *
 * Eigenvalues for the orthogonal modular form of level 96, 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 lfunparamodular2.gp
 *      ? \r form_96a.gp
 *      ? L96=lfunparamodular(form_96);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L96)
 *      %4 = -132
 *
 * compute the central value
 *
 *      ? lfun(L96, 2)
 *      %5 = 0.18769315598538126462107979440253247712
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */

{form_96a=
[96, "a", 1, [[2, 1], [3, -1]],
[
  [  2,     -4], [  3,     -5], [  5,     -4], [  7,      0],
  [ 11,     -4], [ 13,    -44], [ 17,      4], [ 19,     36],
  [ 23,      8], [ 29,     60], [ 31,    184], [ 37,   -300],
  [ 41,     36], [ 43,   -196], [ 47,   -512], [ 53,    -20],
  [ 59,    476], [ 61,     36], [ 67,    516], [ 71,  -1032],
  [ 73,    228], [ 79,   -312], [ 83,    -92], [ 89,   1316],
  [ 97,    212], [101,    140], [103,    624], [107,    -20],
  [109,   1428], [113,    836], [127,   1352], [131,  -1148],
  [137,   -892], [139,    -84], [149,  -3236], [151,  -3056],
  [157,   2180], [163,    788], [167,    104], [173,   2380],
  [179,    308], [181,    100], [191,  -4608], [193,    308],
  [197,   4428], [199,  -1168], [211,   1236], [223,  -1208],
  [227,    916], [229,  -2524], [233,  -2044], [239,   9360],
  [241,  -5388], [251,   3116], [257,  -2172], [263,   1800],
  [269,   2780], [271,   8632], [277,  -6460], [281,   -700],
  [283,   3836], [293,   -916], [307,  -7628], [311,  -1896],
  [313,  -5004], [317,   -228], [331,  -7732], [337,  -6044],
  [347,    204], [349,    324], [353,  -3036], [359,   2840],
  [367,  17736], [373,  -2988], [379,  -4692], [383,   -512],
  [389,   6364], [397,  10020], [401,  -2076], [409,  10196],
  [419,   2836], [421,  -7740], [431,   5344], [433,  -1004],
  [439, -11648], [443,  16812], [449,   1188], [457,    948],
  [461,   7532], [463,   5944], [467,  -3580], [479,   5008],
  [487,  -3424], [491, -10644], [499, -14156], [503, -13720],
  [509,   6140], [521,  -7004], [523,   7804], [541,   6804],
  [547,    820], [557,   3884], [563,  -8060], [569,   5252],
  [571,   3580], [577,  16644], [587,   7436], [593,  12036],
  [599, -13592], [601,   3076], [607,  -5400], [613,  12564],
  [617, -18460], [619, -13364], [631,  14832], [641,  15844],
  [643, -27692], [647, -21640], [653, -13428], [659,   3700],
  [661,   4436], [673,   8628], [677, -11588], [683,   7100],
  [691,  -7068], [701, -29828], [709,  -6780], [719,  -6368],
  [727,  27344], [733,  -9772], [739,  -1340], [743, -37752],
  [751,  32680], [757,  -6588], [761,  18724], [769,  27508],
  [773, -52180], [787,  37188], [797,  -6644], [809,  -6844],
  [811, -31684], [821,  29068], [823, -16752], [827, -46020],
  [829,  -8492], [839, -18152], [853,   7604], [857, -11708],
  [859, -34228], [863,  16160], [877,   7716], [881,   5156],
  [883,   5476], [887,  14200], [907, -32132], [911,   8560],
  [919, -32272], [929,  11844], [937,  44260], [941, -29268],
  [947, -11724], [953,   -700], [967,  66960], [971,    796],
  [977,  30116], [983,  20376], [991,   9240], [997, -28364]
],[
  [ 2,    0], [ 3,   -8], [ 5,  -20], [ 7,  -80], [11,   88],
  [13, -116], [17,  -28], [19, -440], [23,-1008], [29, -580],
  [31,  704]
]];}