/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaria
 * Date    : March 2023
 *
 * Eigenvalues for the orthogonal modular form of level 73, 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_73a.gp
 *      ? L73=lfunparamodular(form_73a);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L73)
 *      %4 = -132
 *
 * compute the central value
 *
 *      ? lfun(L73, 2)
 *      %5 = 0.14099878759128267701962416208127006083
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_73a=
[73, "a", 1, [[73, -1]],
[
  [  2,     -6], [  3,     -2], [  5,      0], [  7,      7],
  [ 11,    -66], [ 13,     16], [ 17,     51], [ 19,     16],
  [ 23,    153], [ 29,    -18], [ 31,   -185], [ 37,    220],
  [ 41,     60], [ 43,   -458], [ 47,      9], [ 53,    138],
  [ 59,     84], [ 61,   -218], [ 67,     70], [ 71,    279],
  [ 73,    -24], [ 79,    808], [ 83,   -492], [ 89,   -240],
  [ 97,   1042], [101,    138], [103,     -5], [107,   -180],
  [109,    676], [113,  -1086], [127,   -104], [131,  -2274],
  [137,    144], [139,    -80], [149,    306], [151,  -1721],
  [157,   -320], [163,   1798], [167,    975], [173,   1422],
  [179,  -2784], [181,  -1604], [191,   2661], [193,   2017],
  [197,    -96], [199,   2428], [211,   2476], [223,   -500],
  [227,   4470], [229,   1906], [233,  -4311], [239,    387],
  [241,  -7538], [251,  -5004], [257,  -2862], [263,   3171],
  [269,  -7218], [271,    643], [277,   1510], [281,   7452],
  [283,   3862], [293,  -2544], [307,   7132], [311,    252],
  [313,   1705], [317,  -3078], [331,  -2402], [337,   5305],
  [347,  -5304], [349, -14396], [353,   3840], [359,  12114],
  [367,  -6029], [373,  -8936], [379,   8086], [383,  -3111],
  [389,   3276], [397, -17822], [401,  -8724], [409,  -3653],
  [419,   6774], [421,  11458], [431,   -177], [433,  13342],
  [439, -15494], [443,  -4908], [449,    807], [457,  -6854],
  [461,   -732], [463,   -194], [467,   3852], [479,  14232],
  [487,  -2288], [491,  20370], [499, -15020], [503,   5580],
  [509,   5664], [521,   -501], [523,  20146], [541,  -9926],
  [547, -10856], [557,  -1812], [563,    474], [569,   3054],
  [571, -10826], [577,  -7727], [587,  -1830], [593,   7182],
  [599, -17715], [601,  10612], [607,  -4394], [613,   3118],
  [617,  -1590], [619,  33838], [631,  -3545], [641, -34413],
  [643,  11716], [647,  -7203], [653,  -5964], [659,   2526],
  [661,  21088], [673,  25810], [677,  20502], [683,  -9738],
  [691,   3970], [701,    360], [709, -28094], [719, -19203],
  [727,  11812], [733,  36826], [739,  21538], [743,  18633],
  [751,   4336], [757,  14800], [761,   7248], [769,  43879],
  [773, -19482], [787, -15302], [797,   3186], [809,  26250],
  [811,  -2888], [821, -12810], [823,  30955], [827,  24192],
  [829, -14030], [839, -18759], [853, -20756], [857, -22128],
  [859, -17468], [863, -31290], [877, -26408], [881,   3846],
  [883,  -9914], [887,   6042], [907,  -9164], [911,   6360],
  [919,  26185], [929, -14802], [937,  33199], [941,  12348],
  [947, -50796], [953,  25482], [967, -72776], [971,   3516],
  [977,  45801], [983,  57060], [991, -36995], [997,  -8216]
],[
  [ 2,    6], [ 3,   -9], [ 5,    0], [ 7, -110], [11,  162],
  [13, -284], [17,  -90], [19, -251], [23,  468], [29, -606],
  [31, -200]
]];}