/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaría
 * Date    : April 2023
 *
 * Eigenvalues for the orthogonal modular form of level 76, 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_76a.gp
 *      ? L76=lfunparamodular(form_76);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L76)
 *      %4 = -130
 *
 * compute the central value
 *
 *      ? lfun(L76, 2)
 *      %5 = 0.15011122681856295148203464450042638062
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_76a=
[76, "a", 1, [[2, -1], [19, 1]],
[
  [  2,     -5], [  3,     -7], [  5,      0], [  7,     -3],
  [ 11,     -8], [ 13,    -17], [ 17,     53], [ 19, -(-32+1)],
  [ 23,      5], [ 29,      7], [ 31,     68], [ 37,   -208],
  [ 41,   -252], [ 43,     28], [ 47,    648], [ 53,    211],
  [ 59,    205], [ 61,     28], [ 67,   -275], [ 71,   -936],
  [ 73,    -21], [ 79,   1140], [ 83,    294], [ 89,    108],
  [ 97,    742], [101,  -2596], [103,    372], [107,  -1341],
  [109,   -219], [113,    182], [127,  -2346], [131,    772],
  [137,     21], [139,    718], [149,   1632], [151,   1346],
  [157,   3218], [163,  -2674], [167,     22], [173,   4656],
  [179,    606], [181,  -1776], [191,  -1503], [193,   2520],
  [197,  -1352], [199,   4913], [211,   -415], [223,  -2692],
  [227,   -219], [229,   1752], [233,  -3996], [239,    933],
  [241,  -1544], [251, -10394], [257,  -2288], [263,    500],
  [269,  -1808], [271,    233], [277,   1554], [281,    490],
  [283,  -5054], [293,  -2371], [307,   5378], [311,   5625],
  [313,   2103], [317,  -3343], [331,  -5861], [337,  -3936],
  [347,   1604], [349,   9446], [353,   3175], [359,  -4205],
  [367,  -4956], [373,  11301], [379,  -5223], [383,   6500],
  [389,   7176], [397,    666], [401,   -282], [409,  16326],
  [419,   2944], [421,    343], [431,    758], [433,  -9814],
  [439,     40], [443,   8440], [449, -14580], [457,  11835],
  [461,   9774], [463, -13856], [467,   8638], [479,   2912],
  [487,  -4328], [491,   9318], [499,   2212], [503,  -2879],
  [509,  13560], [521,  -1200], [523, -21029], [541,   7490],
  [547,   -222], [557,  21832], [563, -14142], [569, -13296],
  [571,  -3076], [577, -11947], [587,   4426], [593,  -1704],
  [599,  10656], [601,  29306], [607, -10052], [613, -20182],
  [617,  -8520], [619, -17244], [631,  23828], [641,  -9510],
  [643,  15622], [647,   1557], [653, -18426], [659,  14767],
  [661,  24881], [673,  -9376], [677,  12625], [683,  -6294],
  [691, -29732], [701,    830], [709, -31756], [719,   -543],
  [727, -21663], [733,  11148], [739,  17274], [743,  26164],
  [751,  23186], [757,   1896], [761,   8193], [769,  -8849],
  [773,   1793], [787, -18747], [797, -17741], [809,   -697],
  [811,  36855], [821,  -1434], [823, -24117], [827,  18801],
  [829,  15777], [839,  -6090], [853,  17130], [857, -13454],
  [859,  -5698], [863,  37786], [877,  -2695], [881,  32144],
  [883, -30116], [887,  -6450], [907,  30387], [911, -19050],
  [919, -18557], [929, -11621], [937, -50869], [941,  15879],
  [947, -18076], [953,   4234], [967,  17208], [971,  54966],
  [977, -69402], [983,   6694], [991,   8890], [997,    774]
],[
  [ 2,    0], [ 3,   -2], [ 5,  -24], [ 7,  -28], [11, -108],
  [13, -110], [17, -174], [19,  -50], [23,  468], [29, -630],
  [31,  -96]
]];}