/************************************************************/
/* Authors : Gustavo Rama, Gonzalo Tornaría
 * Date    : April 2023
 *
 * Eigenvalues for the orthogonal modular form of level 94, 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_94b.gp
 *      ? L94b=lfunparamodular(form_94b);
 *
 * check the functional equation:
 *
 *      ? lfuncheckfeq(L94b)
 *      %4 = -132
 *
 * compute the central value
 *
 *      ? lfun(L94b, 2)
 *      %5 = 0.19056716366952637860142893848845645438
 *
 * The format is
 *
 *      [level, class, dimension, root_numbers, ap_values, ap2_values]
 */


{form_94b=
[94, "b", 1, [[2, -1], [47, 1]],
[
  [  2,     -3], [  3,    -11], [  5,      3], [  7,     -4],
  [ 11,     -8], [ 13,     25], [ 17,    -33], [ 19,     68],
  [ 23,    -75], [ 29,    -29], [ 31,   -156], [ 37,   -378],
  [ 41,    249], [ 43,    130], [ 47,    -68], [ 53,    249],
  [ 59,    675], [ 61,   -249], [ 67,     85], [ 71,     73],
  [ 73,   -216], [ 79,  -1336], [ 83,    887], [ 89,  -1049],
  [ 97,     51], [101,    188], [103,   2482], [107,   -368],
  [109,    437], [113,   -458], [127,  -1385], [131,   -847],
  [137,  -1164], [139,   -548], [149,   -456], [151,  -2255],
  [157,    252], [163,   3971], [167,  -1345], [173,   -384],
  [179,  -1065], [181,   3023], [191,   -631], [193,  -1830],
  [197,  -1380], [199,  -1035], [211,   1090], [223,   2957],
  [227,   2343], [229,    665], [233,   1137], [239,    878],
  [241,   2337], [251,   2555], [257,   4160], [263,  -2751],
  [269,  -3628], [271,   1028], [277,  10032], [281,   5754],
  [283,  -8973], [293,  -1014], [307,  -4173], [311,  -1305],
  [313,   2714], [317,   1687], [331,  -1034], [337,   -803],
  [347,  -6067], [349,  -6467], [353,    168], [359,  -2973],
  [367,   -505], [373,  -3887], [379,   7215], [383,  -1082],
  [389,   4802], [397, -18715], [401,  -3141], [409,   -774],
  [419,   8940], [421,  19174], [431, -18849], [433,   9815],
  [439,  24278], [443,  -6567], [449,  12227], [457,   -335],
  [461,   9045], [463,  -3216], [467, -17537], [479,   7224],
  [487, -14190], [491,  -3647], [499, -20900], [503, -24213],
  [509,  -2684], [521,   -337], [523,  18493], [541,   1367],
  [547,  -7323], [557,  10960], [563,  17750], [569, -10809],
  [571,  23530], [577,  -5846], [587, -12508], [593,  24458],
  [599,  13273], [601,   5773], [607,  20415], [613, -21364],
  [617, -13567], [619,  -8253], [631,  11313], [641,  -7392],
  [643,   2259], [647, -18636], [653,  12948], [659,  19029],
  [661,   8659], [673,   3923], [677,  -8915], [683,  10416],
  [691, -10892], [701,   -751], [709,   3430], [719,   1906],
  [727,  16704], [733,  22153], [739,  41566], [743,   6816],
  [751,  17976], [757,  13761], [761,   7659], [769,   3983],
  [773,  -3084], [787,   4636], [797, -59838], [809,  -8858],
  [811, -13025], [821,   -209], [823,  10451], [827,   4063],
  [829, -10705], [839,   2409], [853,   8151], [857,  38402],
  [859, -50148], [863,  -5114], [877,  11271], [881, -10668],
  [883, -13673], [887,  23001], [907, -12234], [911, -16811],
  [919,  49021], [929,  57910], [937,   8008], [941, -10062],
  [947,  20245], [953, -28499], [967, -67521], [971, -31045],
  [977,  43719], [983,  40035], [991,  -3823], [997, -13043]
],[
  [ 3,   15], [ 5,  -39], [ 7,  -36], [11, -174], [13, -149],
  [17,  225], [19, -138], [23, -363], [29, -390], [31, -136]
]];}