/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaria
 * Date    : March 2023
 *
 * Eigenvalues for the orthogonal modular form of level 79, 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 2.15.0):
 *
 *      ? \r lfunparamodular.gp
 *      ? \r form_79a.gp
 *      ? L79=lfunparamodular(form_79a);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L79)
 *      %4 = -131
 *
 * compute the central value
 *
 *      ? lfun(L79, 2)
 *      %5 = 0.15525772550973863526948162502381440437
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_79a=
[79, "a", 1, [[79, -1]],
[
  [  2,      -5], [  3,      -5], [  5,       3], [  7,      15],
  [ 11,      26], [ 13,     -15], [ 17,     -60], [ 19,      32],
  [ 23,      50], [ 29,      24], [ 31,     142], [ 37,    -500],
  [ 41,     240], [ 43,    -320], [ 47,    -105], [ 53,     630],
  [ 59,      25], [ 61,     194], [ 67,     420], [ 71,     111],
  [ 73,     460], [ 79,     127], [ 83,     -90], [ 89,   -1261],
  [ 97,    1895], [101,   -1239], [103,   -2105], [107,    -295],
  [109,    -608], [113,      90], [127,    2565], [131,     578],
  [137,     -50], [139,    -849], [149,    -904], [151,    -354],
  [157,    1980], [163,     840], [167,    2650], [173,   -3570],
  [179,    3340], [181,    -708], [191,    -695], [193,    1000],
  [197,     -40], [199,    -141], [211,   -1240], [223,    -570],
  [227,    2220], [229,    2198], [233,    4320], [239,   -1532],
  [241,    2843], [251,   -4449], [257,   -5120], [263,    3330],
  [269,   -6109], [271,    3760], [277,   -3135], [281,     977],
  [283,   -2380], [293,   -2550], [307,   -3040], [311,   -4676],
  [313,    1440], [317,   -3995], [331,     928], [337,  -10855],
  [347,   -7330], [349,    8218], [353,    7190], [359,    6461],
  [367,    -330], [373,   -2220], [379,   10973], [383,   -1870],
  [389,    -411], [397,  -14035], [401,  -11028], [409,    3194],
  [419,    1205], [421,  -14943], [431,    7884], [433,    2655],
  [439,   -3060], [443,   -3880], [449,   13004], [457,   10425],
  [461,   -3164], [463,    7205], [467,    6290], [479,    6816],
  [487,   22290], [491,  -15303], [499,   -8466], [503,   -3685],
  [509,    3658], [521,    8986], [523,    4430], [541,    7601],
  [547,   12010], [557,  -16925], [563,    2710], [569,    3276],
  [571,   -2754], [577,  -16830], [587,   -1475], [593,   -2075],
  [599,   -3788], [601,    1854], [607,   12565], [613,  -19060],
  [617,   17135], [619,  -14855], [631,  -25831], [641,   -4687],
  [643,  -22620], [647,    2200], [653,    5015], [659,  -25029],
  [661,    2812], [673,    5820], [677,    9015], [683,   24940],
  [691,    7501], [701,   10376], [709,   11924], [719,    8398],
  [727,  -13330], [733,  -22720], [739,    1623], [743,   38540],
  [751,   -2430], [757,   11965], [761,   -1904], [769,   -8602],
  [773,   28560], [787,  -32030], [797,   19540], [809,   60961],
  [811,   12686], [821,   -2072], [823,    4440], [827,   12155],
  [829,  -12822], [839,  -11420], [853,   13330], [857,  -22765],
  [859,  -15751], [863,   20790], [877,    3520], [881,  -15286],
  [883,  -46925], [887,   12270], [907,   38140], [911,   20808],
  [919,   12416], [929,  -44322], [937,   -5410], [941,   21784],
  [947,  -65980], [953,   45795], [967,   34280], [971,  -36838],
  [977,  -30860], [983, -275520], [991,  148692], [997, -742560]
],[
  [ 2,    2], [ 3,    4], [ 5,  -10], [ 7,  -24], [11,    0],
  [13, -158], [17, -156], [19, -712], [23, -256], [29, -988],
  [31, -640]
]];}