# Stored data for newform 2496.4.a.bi, downloaded from the LMFDB on 09 September 2024.
{"Nk2": 39936, "analytic_conductor": 147.26876737432858, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [13, -1]], "atkin_lehner_string": "+--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [2496, 1, [703, 1093, 833, 769], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 220, "field_disc_factorization": [[2, 2], [5, 1], [11, 1]], "field_poly": [-55, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-216, -4, 1]], [7, [-120, -20, 1]], [11, [-780, -20, 1]]], "hecke_orbit": 35, "hecke_orbit_code": 153122387397708224, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "2496.4.a.bi", "level": 2496, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 13], "level_radical": 78, "minimal_twist": "312.4.a.b", "nf_label": "2.2.220.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{3}+(2+\\beta )q^{5}+(10-\\beta )q^{7}+9q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2496.4.a", "trace_display": [0, 6, 4, 20], "trace_hash": 147552139406969754, "trace_moments": [{"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.046", "prec": 17}, {"__RealLiteral__": 0, "data": "9.565", "prec": 17}, {"__RealLiteral__": 0, "data": "0.092", "prec": 17}, {"__RealLiteral__": 0, "data": "65.764", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 2, 0, 6, 0, 4, 0, 20, 0, 18, 0, 20, 0, 26, 0, 12, 0, -68, 0, -28, 0, 60, 0, 120, 0, 198, 0, 54, 0, 12, 0, 460, 0, 60, 0, -400, 0, -228, 0, 78, 0, 92, 0, -432, 0, 36, 0, 716, 0, -46, 0, -204, 0, 356, 0, 920, 0, -84, 0, -156, 0, 204, 0, 180, 0, 52, 0, -204, 0, 360, 0, -604, 0, 484, 0, 594, 0, -680, 0, 1760, 0, 162, 0, 268, 0, 744, 0, 36, 0, 76, 0, 260, 0, 1380, 0, -496, 0, 4, 0, 180, 0, 2132, 0, 1544, 0, -1200, 0, 2096, 0, -724, 0, -684, 0, -84, 0, -1520, 0, 234, 0, -1560, 0, -702, 0, 276, 0, 1656, 0, -584, 0, -1296, 0, 336, 0, 160, 0, 108, 0, -3364, 0, -3752, 0, 2148, 0, 260, 0, 24, 0, -138, 0, 500, 0, 36, 0, -612, 0, 2240, 0, 1236, 0, 1068, 0, 2960, 0, -708, 0, 2760, 0, -1252, 0, 338, 0, -252, 0, -2604, 0, 220, 0, -468, 0, 6280, 0, 2436, 0, 612, 0, 424, 0, 1080, 0, 540, 0, -768, 0, 8388, 0, 156, 0, 2308, 0, 7768, 0, -612, 0, 120, 0, 5024, 0, 1080, 0, -1160, 0, 472, 0, -1812, 0, -5264, 0, 3280, 0, 1452, 0, -884, 0, -5316, 0, 1782, 0, -820, 0, 5068, 0, -2040, 0, 7204, 0, -2088, 0, 5280, 0, -2620, 0, 4612, 0, 486, 0, -8892, 0, -364, 0, 804, 0, -4736, 0, -2320, 0, 2232, 0, 6004, 0, -3160, 0, 108, 0, -136, 0, 7752, 0, 228, 0, -692, 0, 2244, 0, 780, 0, 5500, 0, -7820, 0, 4140, 0, 6812, 0, -48, 0, -1488, 0, -3920, 0, -5754, 0, 12, 0, -8380, 0, -312, 0, 540, 0, 1560, 0, 80, 0, 6396, 0, 21528, 0, -1460, 0, 4632, 0, -1032, 0, 4300, 0, -3600, 0, -4044, 0, 120, 0, 6288, 0, 72, 0, 2574, 0, -2172, 0, 10680, 0, 7892, 0, -2052, 0, -22848, 0, 1292, 0, -252, 0, 7240, 0, 1480, 0, -4560, 0, 152, 0, -1076, 0, 702, 0, 6300, 0, 1432, 0, -4680, 0, 4444, 0, -12886, 0, -2106, 0, 10648, 0, -7152, 0, 828, 0, -3480, 0, 14684, 0, 4968, 0, 156, 0, 17924, 0, -1752, 0, 3156, 0, 3040, 0, -3888, 0, 15612, 0, -7600, 0, 1008, 0, -5280, 0, 23068, 0, 480, 0, 23292, 0, 5980, 0, 324, 0, -520, 0, -12220, 0, -10092, 0, -1560, 0, -8264, 0, -11256, 0, -3984, 0, 7468, 0, 6444, 0, -3212, 0, -19080, 0, 780, 0, -19692, 0, 7468, 0, 72, 0, 80, 0, -12936, 0, -414, 0, 13216, 0, 41072, 0, 1500, 0, 2908, 0, 10600, 0, 108, 0, -5200, 0, -14636, 0, -1836, 0, 14356, 0, 21476, 0, 6720, 0, -16240, 0, 20400, 0, 3708, 0, -13120, 0, -4532, 0, 3204, 0, -15732, 0, -2964, 0, 8880, 0, -23752, 0, 13292, 0, -2124, 0, 3184, 0, -408, 0, 8280, 0, -8680, 0, 15828, 0, -3756, 0, 35288, 0, 20984, 0, 1014, 0, 31316, 0, -4840, 0, -756, 0, -31232, 0, 120, 0, -7812, 0, 7452, 0, -15672, 0, 660, 0, -13000, 0, -10094, 0, -1404, 0, 1196, 0, -16928, 0, 18840, 0, -18060, 0, -3652, 0, 7308, 0, -13768, 0, 24360, 0, 1836, 0, -168, 0, 26400, 0, 1272, 0, -9180, 0, -5616, 0, 3240, 0, -35304, 0, -8968, 0, 1620, 0, -30540, 0, -8816, 0, -2304, 0, 4840, 0, 1748, 0, 25164, 0, 11480, 0, 17640, 0, 468, 0, -12164, 0, -7760, 0, 6924, 0, 28364, 0, 20640, 0, 23304, 0, -168, 0, -16820, 0, -1836, 0, 16196, 0, 16672, 0, 360, 0, 9308, 0, -20724, 0, 15072, 0, 16076, 0, -34980, 0, 3240, 0, -40160, 0, -29358, 0, -3480, 0, 9512, 0, 17524, 0, 1416, 0, -33728, 0, -598, 0, -5436, 0, 24188, 0, 23284, 0, -15792, 0, 20176, 0, -1560, 0, 9840, 0, 19868, 0, 16512, 0, 4356, 0, 1528, 0, -25428, 0, -2652, 0, 2080, 0, 720, 0, -15948, 0, 44280, 0, -4220, 0, 5346, 0, 11940, 0, 23800, 0, -2460, 0, -27996, 0, 12192, 0, 15204, 0, 4628, 0, 6196, 0, -6120, 0, -9264, 0, 6552, 0, 21612, 0, 11452, 0, 2312, 0, -6264, 0, 4600, 0, -41300, 0, 15840, 0, 22320, 0, 11960, 0, -7860, 0, 6616, 0, 49760, 0, 13836, 0, 1188, 0, 38040, 0, 1458, 0, 5888, 0, -48788, 0, -26676, 0, -46920, 0, -16452, 0, -1092, 0, -35516, 0, 60400, 0, 2412, 0, 42080, 0, -5976, 0, -14208, 0, 18112, 0, 15852, 0, -6960, 0, -5620, 0, 5080, 0, 6696, 0, -2028, 0, -18092, 0, 18012, 0, -53308, 0, 50820, 0, -9480, 0, -6128, 0, -760, 0, 324, 0, -48568, 0, 5628, 0, -408, 0, 7960, 0, 2652, 0, 23256, 0, -61700, 0, -31384, 0, 684, 0, 24200, 0, -38080, 0, -2076, 0, -21828, 0, -13740, 0, 6732, 0, -11536, 0, 10448, 0, 2340, 0, 15044, 0, 23944, 0, 16500, 0, -40828, 0, 9500, 0, -23460, 0, -16036, 0, 74936, 0, 12420, 0, -58404, 0, -48706, 0, 20436, 0, 676, 0, -24620, 0, -144, 0, -17200, 0, -23924, 0, -4464, 0, -77484, 0, 22312, 0, -11760, 0, -5596, 0, 66072, 0, -17262, 0, 0, 0, -2652, 0, 36, 0, 24480, 0, 13452, 0, -25140, 0, -2652, 0, -35488, 0, -936, 0, 11856, 0, 26720, 0, 1620, 0, -6504, 0, 31920, 0, 4680, 0, 2760, 0, 1976, 0, 240, 0, -88408, 0, 8432, 0, 19188, 0, -38512, 0, -14920, 0, 64584, 0, -12480, 0, -44112, 0, -4380, 0, -7852, 0, -19052, 0, 13896, 0, -65348, 0, 9444, 0, -3096, 0, -18960, 0, 876, 0, 12900, 0, -25276, 0, -13840, 0, -10800, 0, 34340, 0, 6292, 0, -12132, 0, 36788, 0, 70624, 0, 360, 0, -52560, 0, 50178, 0, 18864, 0, 15016, 0, 2220, 0, 216, 0, -101768, 0, -35760, 0, 7722, 0, 15996, 0, 82600, 0, -6516, 0, 31020, 0, -84704, 0, 32040, 0, -8320, 0, -30768, 0, 23676, 0, 63936, 0, 21572, 0, -6156, 0, -8840, 0, 5304, 0, -68544, 0, -12024, 0, -45740, 0, 3876, 0, -3004, 0, -2400, 0, -756, 0, -48692, 0, -118404, 0, 21720, 0, 28468, 0, 22880, 0, 4440, 0, -9304, 0, 17732, 0, -13680, 0, 35304, 0, 7736, 0, 456, 0, -54400, 0, -19040, 0, -3228, 0, -29372, 0, -55396, 0, 2106, 0, -125776, 0, -17680, 0, 18900, 0, 29988, 0, 24296, 0, 4296, 0, -47480, 0, 12780, 0, -14040, 0, -1368, 0, -60368, 0, 13332, 0, 3484, 0, 57040, 0, -38658, 0, -81440, 0, 46868, 0, -6318, 0, -103832, 0, -44116, 0, 31944, 0, 35804, 0, 63400, 0, -21456, 0, -15684, 0, 9672, 0, 2484, 0, -27684, 0, 54760, 0, -10440, 0, -63872, 0, -72748, 0, 44052, 0, 2184, 0, 21476, 0, 14904, 0, 32440, 0, 16244, 0, 468, 0, -53200, 0, -152120, 0, 53772, 0, -37944, 0, 3040, 0, -5256, 0, -23304, 0, -49800, 0, 9468, 0, -74052, 0, -40044, 0, 9120, 0, 988, 0, -23976, 0, -11664, 0, -18964, 0, 98008, 0, 46836, 0, -89960, 0, -26696, 0, -22800, 0, 56804, 0, -21280, 0, 3024, 0, 47060, 0, 3380, 0, -15840, 0, -73384, 0, 552, 0, 69204, 0, 54932, 0, -111720, 0, 1440, 0, -31880, 0, -48524, 0, 69876, 0, -51496, 0, 25816, 0, 17940, 0, -97320, 0, 17996, 0, 972, 0, -49652, 0, -6800, 0, -1560, 0, 20656, 0, -39754, 0, -36660, 0, -23980, 0, 48560, 0, -30276, 0, -6448, 0, 80460, 0, -4680, 0, 2904, 0, -18440, 0, -24792, 0, -2592, 0, -23692, 0, -33768, 0, 43440, 0, 34528, 0, -11952, 0, -1292, 0, 52, 0, 22404, 0, 30560, 0, 117640, 0, 19332, 0, 35680, 0, 25296, 0, -9636, 0, -61596, 0, 76236, 0, -57240, 0, -11552, 0, 9368, 0, 2340, 0, -32740, 0, 23264, 0, -59076, 0, 52640, 0, -124500, 0, 22404, 0, -155404, 0, -12432, 0, 216, 0, 109220, 0, 31920, 0, 240, 0, 27716, 0, -2032, 0, -38808, 0, 16820, 0, -92476, 0, -1242, 0, 63404, 0, 47376, 0, 39648, 0, 1560, 0, -112560, 0, 123216, 0, -79840, 0, 20072, 0, 4500, 0, -77440, 0, -233704, 0, 8724, 0, 5816, 0, 85640, 0, 31800, 0, -150832, 0, -9360, 0, 324, 0, 21828, 0, 4296, 0, -15600, 0, 64788, 0, -73554, 0, -43908, 0, 48484, 0, 720, 0, -5508, 0, 112400, 0, 105092, 0, 43068, 0, 82920, 0, -16456, 0, 64428, 0, 27248, 0, 29280, 0, 20160, 0, -70960, 0, 19172, 0, -48720, 0, -72240, 0, 29024, 0, 61200, 0, -31316, 0, -26712, 0, 11124, 0, -191056, 0, -9412, 0, -39360, 0, -276, 0, -178356, 0, -13596, 0, -22848, 0, -7948, 0, 9612, 0, -11292, 0, 20320, 0, -47196, 0, -37560, 0, 35040, 0, -8892, 0, -71348, 0, -142616, 0, 26640, 0, -59548, 0, -109996, 0, -71256, 0, 154120, 0, 50536, 0, 39876, 0, 5120, 0, -177360, 0, -6372, 0, -1092, 0, 34444, 0, 9552, 0, -15444, 0, 131440, 0, -1224, 0, -69876, 0, 51688, 0, 24840, 0, -79644, 0, -20076, 0, -26040, 0, -32524, 0, -19760, 0, 47484, 0, 51592, 0, -15840, 0, -11268, 0, 51200, 0, 4200, 0, 105864, 0, 107328, 0, 79256, 0, 62952, 0, -808, 0, -36980, 0, 3042, 0, 125852, 0, 104676, 0, 93948, 0, -41040, 0, -49824, 0, -14520, 0, -138880, 0, 2136, 0, -2268, 0, 77520, 0, 113424, 0, -93696, 0, -20280, 0, -64340, 0, 360, 0, -23908, 0, 210896, 0, -23436, 0, -63816, 0, 80, 0, 22356, 0, -9000, 0, 16660, 0, -47016, 0, 117364, 0, -9126, 0, 1980, 0, 5048, 0, 25620, 0, -39000, 0, -15912, 0, 71552, 0, -30282, 0, 142280, 0, 40448, 0, -4212, 0, 5520, 0, 91260, 0, 3588, 0, 69084, 0, 84120, 0, -50784, 0, -3188, 0, 122588, 0, 56520, 0, -103860, 0, 2784, 0, -54180, 0, 119268, 0, 170492, 0, -10956, 0, 21528, 0, -30668, 0, 21924, 0, -11560, 0, -46800, 0, -41304, 0, -104964, 0, 123800, 0, 73080, 0, 103000, 0, -171360, 0, 5508, 0, -47656, 0, -7592, 0, -504, 0, -142176, 0, -112604, 0, 79200, 0, 36440, 0, 4104, 0, 3816, 0, -100200, 0, 26844, 0, -27540, 0, 80280, 0, -109956, 0, -16848, 0, -9680, 0, -80370, 0, 9720, 0, 226104, 0, 106840, 0, -105912, 0, -41984, 0, 25748, 0, -26904, 0, 164668, 0, 32808, 0, 4860, 0, 4368, 0, 230080, 0, -91620, 0, 47028, 0, -936, 0, -26448, 0, 76000, 0, -39048, 0, -6912, 0, -112036, 0, -62644, 0, 14520, 0, -89720, 0, 2080, 0, 5244, 0, -125164, 0, -82416, 0, 75492, 0, -88664, 0, -72500, 0, 34440, 0, 215208, 0, 28996, 0, 52920, 0, -121136, 0, 104788, 0, 1404, 0, -91360, 0, -246472, 0, -36492, 0, -68272, 0, -74080, 0, -23280, 0, 1224, 0, -58400, 0, 20772, 0, -49236, 0, -159940, 0, 85092, 0, -43732, 0, 85628, 0, 61920, 0, 3004, 0, -76820, 0, 69912, 0, -27320, 0, -72072, 0, -504, 0, 62680, 0, 234836, 0, -50460, 0, -13452, 0, -48776, 0, -5508, 0, 171888, 0, -12356, 0, 48588, 0, 140800, 0, -113504, 0, 50016, 0, -85568, 0, 86636, 0, 1080, 0, -35880, 0, 270820, 0, 27924, 0, -193824, 0, 142360, 0, -62172, 0, 400, 0, 23704, 0, 45216, 0, 129936, 0, -21702, 0, 48228, 0, -24, 0, -14880, 0, -104940, 0, 3380, 0, -146820, 0, 9720, 0, 29368, 0, -28404, 0, -120480, 0, -42960, 0, 149836, 0, -88074, 0, -61260, 0, 207540, 0, -10440, 0, 225400, 0, 312, 0, 28536, 0, 95972, 0, 110280, 0, 52572, 0, 118128, 0, 177760, 0, 4248, 0, 18260, 0, 116520, 0, -101184, 0, 14952, 0, 51280, 0, -1794, 0, 280828, 0, 159432, 0, -16308, 0, -46568, 0, -14744, 0, 72564, 0, -49720, 0, -5784, 0, 69852, 0, -63340, 0, -127308, 0, -47376, 0, 6500, 0, -176760, 0, 60528, 0, -1224, 0, 192264, 0, -4680, 0, 244460, 0, 122560, 0, 29520, 0, 97440, 0, 12704, 0, 59604, 0, -26504, 0, 468, 0, 49536, 0, 52720, 0, 101520, 0, 13068, 0, -259140, 0, 139040, 0, 4584, 0, -131640, 0, 190480, 0, -76284, 0, 127976, 0, 128940, 0, -7956, 0, -162200, 0, -61388, 0, 6240, 0, 158340, 0, 96040, 0, 2160, 0, 164920, 0, 50544, 0, -47844, 0, -98916, 0, -82072, 0, 132840, 0, 29120, 0, -48428, 0, -12660, 0, -119456, 0, 2300, 0, 16038, 0, 1704, 0, 1556, 0, 35820, 0, -8224, 0, -92560, 0, 71400, 0, -205172, 0, 16068, 0, -7380, 0, 187640, 0, -159120, 0, -83988, 0, 76800, 0, -194596, 0, 36576, 0, 59068, 0, -3624, 0, 45612, 0, -97944, 0, 31200, 0, 13884, 0, 105956, 0, 22456, 0, 18588, 0, -8668, 0, -114240, 0, -18360, 0, -104836, 0, -115096, 0, -27792, 0, 76444, 0, 66124, 0, 19656, 0, 38480, 0, -129408, 0, 64836, 0, -136452, 0, 136640, 0, 34356, 0, -342344, 0, 97936, 0, 6936, 0, 39396, 0, 195620, 0, -18792, 0, 2904, 0, -9204, 0, 13800, 0, 80360, 0, -72144, 0, -123900, 0, 22124, 0, -50160, 0, 47520, 0, 128160, 0, 96164, 0, 66960, 0, -192764, 0, -22412, 0, 35880, 0, 9976, 0, 121360, 0, -23580, 0, 136700, 0, -210104, 0, 19848, 0, -45264, 0, 39468, 0, 149280, 0, 138136, 0, -155560, 0, 41508, 0, -16276, 0, 93816, 0, 3564, 0, -223280, 0, 4028, 0, 114120, 0, 17784, 0, -1600, 0, 4374, 0, 174480, 0, 60600, 0, 17664, 0, 228448, 0, 4394, 0, -146364, 0, -131000, 0, 170852, 0, -80028, 0, 56336, 0, 76842, 0, -140760, 0, 51868, 0, -128448, 0, -49356, 0, -120080, 0, 208972, 0, -3276, 0, 171204, 0, 20256, 0, -106548, 0, 95280, 0, -4080, 0, 181200, 0, 49644, 0, 78784, 0, 7236, 0, 117124, 0, 335376, 0, 126240, 0, -33852, 0, -181980, 0, -17928, 0, 110080, 0, 18984, 0, -42624, 0, -1920, 0, 140360, 0, 54336, 0, 82892, 0, 17228, 0, 47556, 0, 165292, 0, 2860, 0, -20880, 0, -147296, 0, -216108, 0, -16860, 0, -177992, 0, 23864, 0, 15240, 0, 10560, 0, -192980, 0, 20088, 0, -118164, 0, -7772, 0, -6084, 0, 53932, 0, -238368, 0, -54276, 0, 241540, 0, -90520, 0, 54036, 0, -33168, 0, 236880, 0, -159924, 0, -248720, 0, 61040, 0, 152460, 0, 81640, 0, 152216, 0, -28440, 0, 158756, 0, -87040, 0, -18384, 0, -144424, 0, 233916, 0, -2280, 0, -138720, 0, 90716, 0, 972, 0, 98892, 0, 31668, 0, -145704, 0, 196588, 0, -210600, 0, 16884, 0, 124048, 0, -260320, 0, -1224, 0, 229920, 0, -119692, 0, 23880, 0, -15264, 0, -38492, 0, 7956, 0, 259572, 0, -133720, 0, 69768, 0, -143200, 0, -16548, 0, -185100, 0, 135244, 0, 119016, 0, -94152, 0, 123580, 0, -42462, 0, 2052, 0, 5512, 0, 1608, 0, 72600, 0, -302884, 0, 40736, 0, -114240, 0, -214092, 0, -7176, 0, -6228, 0, 105252, 0, -94644, 0, -65484, 0, 84240, 0, 14040, 0, -41220, 0, -285376, 0, 77212, 0, 20196, 0, -227284, 0, -228120, 0, -34608, 0, 21592, 0, 378400, 0, 31344, 0, -159640, 0, 15168, 0, 7020, 0, -86468, 0, 210240, 0, 45132, 0, 4464, 0, 34496, 0, 71832, 0, 149680, 0, 1588, 0, 49500, 0, 277332, 0, -21624, 0, -122484, 0, -9984, 0, 141920, 0, 28500, 0, -20544, 0, 71128, 0, -70380, 0, 267936, 0, -309160, 0, -48108, 0, 241704, 0, 180724, 0, 224808, 0, 5840, 0, 109044, 0, 37260, 0, 125400, 0, 31856, 0, -175212, 0, -16200, 0, -180716, 0, -146118, 0, 277948, 0, -141180, 0, 61308, 0, -167424, 0, 101800, 0, 2028, 0, 33696, 0, -289328, 0, -73860, 0, -44244, 0, -49568, 0, -432, 0, -238540, 0, -255728, 0, -51600, 0, -19360, 0, -15436, 0, -71772, 0, 30004, 0, 239240, 0, -13392, 0, 34856, 0, 108000, 0, -232452, 0, 35240, 0, 15576, 0, 66936, 0, -127956, 0, 456, 0, -35280, 0, 280080, 0, 100984, 0, -16788, 0, 149088, 0, -117548, 0, 198216, 0, -148988, 0, 30160, 0, -51786, 0, 28176, 0, 51864, 0, 0, 0, -148636, 0, 146840, 0, -7956, 0, 167536, 0, -1180, 0, 108, 0, 163524, 0, -255264, 0, 73440, 0, 74136, 0, -239160, 0, 40356, 0, 2044, 0, 131520, 0, -75420, 0, 1560, 0, 54288, 0, -7956, 0, -231388, 0, -235580, 0, -106464, 0, -75320, 0, 96960, 0, -2808, 0, 174492, 0, -437156, 0, 35568, 0, -380516, 0, 65312, 0, 80160, 0, -144104, 0, 167356, 0, 4860, 0, 123024, 0, -98036, 0, -19512, 0, -121560, 0, 75956, 0, 95760, 0, 35192, 0, 320404, 0, 14040, 0, 327444, 0, -144360, 0, 8280, 0, 96292, 0, -35816, 0, 5928, 0, 358776, 0, 136344, 0, 720, 0, 237100, 0, 118460, 0, -265224, 0, -15080, 0, -31044, 0, 25296, 0, -4920, 0, -120956, 0, 57564, 0, -157524, 0, -193272, 0, -115536, 0, 318000, 0, -188640, 0, -44760, 0, -196524, 0, 6136, 0, 193752, 0, -256224, 0, -246500, 0, -37440, 0, 164844, 0, -2976, 0, -132336, 0, 140240, 0, 40640, 0, -13140, 0, -422400, 0, 280660, 0, -23556, 0, 3832, 0, -55848, 0, -57156, 0, -321508, 0, 148840, 0, 41688, 0, -112520, 0, 48080, 0, -196044, 0, -61644, 0, -9856, 0, 28332, 0, -68432, 0, 1484, 0, -9288, 0, -159524, 0, 34844, 0, -56880, 0, 228960, 0, -121746, 0, 2628, 0, 24, 0, -133968, 0, 38700, 0, -270636, 0, 42640, 0, -75828, 0, -43516, 0, 54760, 0, -41520, 0, -66400, 0, 227204, 0, -32400, 0, -300316, 0, 197448, 0, 103020, 0, 453432, 0, -218600, 0, 18876, 0, 86320, 0, 62736, 0, -36396, 0, 507728, 0, -516364, 0, 110364, 0, -6700, 0, -334280, 0, 211872, 0, -95928, 0, -18544, 0, 1080, 0, -11492, 0, 131040, 0, -157680, 0, 62676, 0, 268464, 0, 150534, 0, -212984, 0, -61728, 0, 56592, 0, 3588, 0, -4880, 0, 45048, 0, 490348, 0, -69108, 0, 6660, 0, 392120, 0, -124000, 0, 648, 0, 78356, 0, 1256, 0, -305304, 0, 262320, 0, -15972, 0, -107280, 0, 95200, 0, -218240, 0, 23166, 0, 222372, 0, 12792, 0, 47988, 0, 81600, 0, -395688, 0, 247800, 0, 282576, 0, 231096, 0, -19548, 0, -135200, 0, 431960, 0, 93060, 0, -10660, 0, 120372, 0, -254112, 0, 116692, 0, -471560, 0, 96120, 0, 404960, 0, -9712, 0, -24960, 0, -153828, 0, 36700, 0, -92304, 0, -59400, 0, 65884, 0, 71028, 0, -288200, 0, 33736, 0, 191808, 0, 9264, 0, -427092, 0, 64716, 0, 128744, 0, 24304, 0, -18468, 0, -33872, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, 0], [3, 0], [0, 0], [2, 1], [0, 0], [10, -1], [0, 0], [9, 0], [0, 0], [10, 2], [0, 0], [13, 0], [0, 0], [6, 3], [0, 0], [-34, 2], [0, 0], [-14, -1], [0, 0], [30, -3], [0, 0], [60, -4], [0, 0], [99, 4], [0, 0], [27, 0], [0, 0], [6, 0], [0, 0], [230, 3], [0, 0], [30, 6], [0, 0], [-200, 8], [0, 0], [-114, 2], [0, 0], [39, 0], [0, 0], [46, 11], [0, 0], [-216, -10], [0, 0], [18, 9], [0, 0], [358, -8], [0, 0], [-23, -20], [0, 0], [-102, 6], [0, 0], [178, 16], [0, 0], [460, 14], [0, 0], [-42, -3], [0, 0], [-78, 0], [0, 0], [102, 48], [0, 0], [90, -9], [0, 0], [26, 13], [0, 0], [-102, -51], [0, 0], [180, -12], [0, 0], [-302, 6], [0, 0], [242, 22], [0, 0], [297, 12], [0, 0], [-340, 10], [0, 0], [880, -20], [0, 0], [81, 0], [0, 0], [134, -20], [0, 0], [372, -30], [0, 0], [18, 0], [0, 0], [38, 93], [0, 0], [130, -13], [0, 0], [690, 9], [0, 0], [-248, -16], [0, 0], [2, -54], [0, 0], [90, 18], [0, 0]]}