/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaría
 * Date    : April 2023
 *
 * Eigenvalues for the orthogonal modular form of level 87, 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_87a.gp
 *      ? L87=lfunparamodular(form_87a);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L87)
 *      %4 = -131
 *
 * compute the central value
 *
 *      ? lfun(L87, 2)
 *      %5 = 0.16799469716319470401885695732942095703
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_87a=
[87, "a", 1, [[3, -1], [29, 1]],
[
  [  2,     -5], [  3,     -2], [  5,     -1], [  7,     10],
  [ 11,     -3], [ 13,    -19], [ 17,    -42], [ 19,    -68],
  [ 23,    256], [ 29,   -111], [ 31,   -127], [ 37,    -58],
  [ 41,   -160], [ 43,    213], [ 47,   -119], [ 53,   -773],
  [ 59,    -64], [ 61,    786], [ 67,   -104], [ 71,    106],
  [ 73,    966], [ 79,    267], [ 83,    868], [ 89,   -396],
  [ 97,   -228], [101,    118], [103,   -138], [107,  -1034],
  [109,  -3029], [113,    908], [127,   1320], [131,   3144],
  [137,   -418], [139,   -700], [149,    501], [151,  -2570],
  [157,    916], [163,   -799], [167,   1478], [173,   -408],
  [179,  -1334], [181,   -523], [191,  -1336], [193,  -2036],
  [197,  -3168], [199,   5442], [211,  -2499], [223,   2966],
  [227,  -3690], [229,      4], [233,   3177], [239,    652],
  [241,   2899], [251,   -213], [257,  -1409], [263,  -2803],
  [269,   1978], [271,  -5857], [277,   4436], [281,   2165],
  [283,  -2252], [293,   1908], [307,  -3575], [311,   3072],
  [313,  -8781], [317,   4894], [331,   1329], [337,  10046],
  [347,  -2742], [349,   5439], [353,    720], [359,   3219],
  [367,    272], [373,     49], [379,   8360], [383,    402],
  [389,   2334], [397,    133], [401,  10925], [409,   3720],
  [419,  -3430], [421,  -8158], [431,   2028], [433,  -2966],
  [439,   6704], [443,   5472], [449, -19272], [457,   3392],
  [461,  18624], [463,  -5928], [467,   4613], [479,   2351],
  [487, -18474], [491, -19081], [499,  10068], [503,   8791],
  [509,  -2353], [521,  -8411], [523, -17932], [541,  -6418],
  [547,  -2490], [557,  15028], [563, -11651], [569, -12332],
  [571,   8032], [577,   8326], [587,  -4548], [593, -11415],
  [599, -11457], [601,  -2936], [607,  24703], [613,  13087],
  [617,   6270], [619,   -523], [631,  20754], [641,     54],
  [643,  -7222], [647,   8908], [653, -31160], [659,   6735],
  [661, -21420], [673,  -7021], [677,  11356], [683, -11988],
  [691, -16344], [701, -14703], [709, -16371], [719, -14778],
  [727,  28184], [733,  32510], [739,   2755], [743,   2252],
  [751, -11520], [757, -31646], [761,  -2004], [769,  15546],
  [773,   1704], [787, -12186], [797, -30910], [809,  -4830],
  [811, -20858], [821, -33555], [823,  24408], [827,  49133],
  [829,  17930], [839,  11969], [853, -39420], [857,  34495],
  [859,   2767], [863,   8674], [877,  59307], [881,   8532],
  [883,   5606], [887,  50589], [907,  48600], [911,  31911],
  [919,  17014], [929,  45316], [937,  20840], [941,  45891],
  [947,  22569], [953,   7425], [967, -22207], [971, -13840],
  [977, -47393], [983,  -3587], [991,  29174], [997,   6374]
],[
  [ 2,    4], [ 5,  -26], [ 7,  -48], [11, -140], [13, -198],
  [17,    8], [19,  104], [23, 1040], [31, -168]
]];}