# Stored data for newform 322.4.a.a, downloaded from the LMFDB on 30 April 2025.
{"Nk2": 5152, "analytic_conductor": 18.99861502184848, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [7, -1], [23, -1]], "atkin_lehner_string": "+--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [322, 1, [185, 281], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-14, 4, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 67109186, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": true, "label": "322.4.a.a", "level": 322, "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": true, "level_primes": [2, 7, 23], "level_radical": 322, "minimal_twist": "322.4.a.a", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}+(-2+3\\beta )q^{3}+4q^{4}+(8-3\\beta )q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "322.4.a", "trace_display": [-4, -4, 16, 14], "trace_hash": 1344744743905455301, "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "2.074", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.551", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "75.984", "prec": 20}], "trace_zratio": 0, "traces": [0, 2, -4, -4, 8, 16, 8, 14, -16, -10, -32, 60, -16, 72, -28, -68, 32, 12, 20, -28, 64, -28, -120, 46, 32, -86, -144, -16, 56, -160, 136, 160, -64, -264, -24, 112, -40, 284, 56, -168, -128, 492, 56, 272, 240, 64, -92, 352, -64, 98, 172, 684, 288, 428, 32, 624, -112, 296, 320, 884, -272, 576, -320, -70, 128, 600, 528, 532, 48, -92, -224, 688, 80, 12, -568, -404, -112, 420, 336, -748, 256, -562, -984, -100, -112, -612, -544, 536, -480, 676, -128, 504, 184, 844, -704, -464, 128, -124, -196, 276, -344, 920, -1368, 368, -576, -476, -856, 3224, -64, -1692, -1248, -160, 224, -932, -592, 368, -640, -264, -1768, 84, 544, -286, -1152, 1032, 640, -2112, 140, 216, -256, -2896, -1200, -180, -1056, -196, -1064, 736, -96, -2020, 184, -1428, 448, -3788, -1376, 2256, -160, -1496, -24, -196, 1136, 1948, 808, 280, 224, -2892, -840, 116, -672, -2040, 1496, -2560, -512, 322, 1124, 5256, 1968, -3480, 200, -2944, 224, -1786, 1224, -820, 1088, 5608, -1072, -602, 960, 1508, -1352, 2384, 256, -5336, -1008, -3276, -368, 1864, -1688, -2472, 1408, -112, 928, 4032, -256, -4668, 248, -2688, 392, 2988, -552, -3216, 688, 568, -1840, -1120, 2736, 1920, -736, -230, 1152, -1800, 952, -3920, 1712, 3352, -6448, 4528, 128, 1120, 3384, 5568, 2496, -40, 320, -2552, -448, 2734, 1864, 1484, 1184, -760, -736, -1848, 1280, 1152, 528, 5900, 3536, -5392, -168, -1224, -1088, -2452, 572, 6884, 2304, 784, -2064, -1168, -1280, -4528, 4224, -10412, -280, 1380, -432, 6672, 512, 5916, 5792, 1988, 2400, -64, 360, 7068, 2112, 5128, 392, 8908, 2128, 1368, -1472, -3944, 192, -1176, 4040, -276, -368, -8640, 2856, -5456, -896, 7748, 7576, -4364, 2752, 3352, -4512, 3444, 320, 4170, 2992, -2692, 48, -11056, 392, 3796, -2272, 2976, -3896, 1656, -1616, 1904, -560, -7384, -448, 6732, 5784, 11708, 1680, -1072, -232, 3976, 1344, 5724, 4080, 448, -2992, -4736, 5120, -5664, 1024, -5584, -644, 4552, -2248, -2712, -10512, 7944, -3936, 2464, 6960, -4720, -400, -3052, 5888, 2624, -448, -2964, 3572, -12512, -2448, 144, 1640, 686, -2176, -1564, -11216, 4792, 2144, -16424, 1204, 0, -1920, 484, -3016, 776, 2704, 4788, -4768, 16396, -512, -11726, 10672, -8068, 2016, -5496, 6552, -5128, 736, -10524, -3728, 2996, 3376, -8596, 4944, 5664, -2816, -5904, 224, 8076, -1856, -744, -8064, -12736, 512, 4368, 9336, 8048, -496, -2444, 5376, 276, -784, -8532, -5976, 904, 1104, -11896, 6432, 2072, -1376, 3820, -1136, 4984, 3680, -9824, 2240, 6888, -5472, -20252, -3840, -8848, 1472, 6188, 460, 3928, -2304, -2028, 3600, -20580, -1904, -10356, 7840, 10576, -3424, -11844, -6704, 4032, 12896, -10416, -9056, 10656, -256, 9684, -2240, 7600, -6768, -644, -11136, -2808, -4992, -490, 80, 12448, -640, -4852, 5104, -15944, 896, 13992, -5468, 6696, -3728, -22472, -2968, 4200, -2368, 15460, 1520, -17088, 1472, -9776, 3696, -9504, -2560, 6200, -2304, -13892, -1056, 3724, -11800, 21996, -7072, 17568, 10784, -2636, 336, 4676, 2448, -5368, 2176, 9952, 4904, -644, -1144, 1948, -13768, -528, -4608, -10056, -1568, 24232, 4128, 3288, 2336, 5808, 2560, 4816, 9056, -10440, -8448, 11180, 20824, 9880, 560, 12904, -2760, 1844, 864, -31040, -13344, 84, -1024, -5536, -11832, 3280, -11584, 22896, -3976, -12416, -4800, -34700, 128, -6444, -720, -2828, -14136, 23852, -4224, 1058, -10256, -17524, -784, 16368, -17816, 24928, -4256, -27376, -2736, 2940, 2944, 19360, 7888, 17044, -384, -18096, 2352, 10600, -8080, 5616, 552, 3680, 736, -5236, 17280, -5576, -5712, 2732, 10912, 11360, 1792, 25320, -15496, -12796, -15152, 6920, 8728, -3934, -5504, -24364, -6704, 29728, 9024, 12144, -6888, -1978, -640, 35676, -8340, 1224, -5984, -700, 5384, 19656, -96, 2952, 22112, 22540, -784, 5520, -7592, -25320, 4544, 7340, -5952, -4284, 7792, -11040, -3312, 7160, 3232, 4876, -3808, -9188, 1120, 6352, 14768, 2520, 896, 3752, -13464, 14728, -11568, -40076, -23416, 3432, -3360, -16412, 2144, -20364, 464, -368, -7952, 4732, -2688, -7586, -11448, 12816, -8160, 9728, -896, -4684, 5984, 592, 9472, 2040, -10240, 3528, 11328, -22352, -2048, -14812, 11168, 24348, 1288, -32768, -9104, -5408, 4496, 13416, 5424, 5908, 21024, 16308, -15888, 7452, 7872, -22428, -4928, -56144, -13920, -240, 9440, 25424, 800, -3248, 6104, -3680, -11776, 21220, -5248, 25776, 896, -23376, 5928, 14512, -7144, -12728, 25024, -868, 4896, 23000, -288, 4192, -3280, -3272, -1372, -28972, 4352, 16544, 3128, 21564, 22432, 1932, -9584, -6540, -4288, 42600, 32848, -34560, -2408, 31068, 0, -1256, 3840, -42808, -968, 6440, 6032, 23348, -1552, 31292, -5408, 3680, -9576, 23952, 9536, 42600, -32792, -2768, 1024, 2576, 23452, 30092, -21344, 3424, 16136, 54984, -4032, 3962, 10992, -44624, -13104, 5712, 10256, -3332, -1472, 9432, 21048, -20448, 7456, 11312, -5992, 38660, -6752, 27632, 17192, 19412, -9888, 22568, -11328, 9804, 5632, 23224, 11808, 24152, -448, 22204, -16152, -6072, 3712, 38628, 1488, -11844, 16128, -18732, 25472, 29640, -1024, -12548, -8736, 3096, -18672, 20944, -16096, -25504, 992, -1120, 4888, 6552, -10752, 1728, -552, -3904, 1568, -34236, 17064, 17804, 11952, -28752, -1808, -6524, -2208, 22152, 23792, -31592, -12864, -58792, -4144, -58540, 2752, -44420, -7640, -22008, 2272, 2576, -9968, 18384, -7360, -24012, 19648, -8356, -4480, -3524, -13776, 41592, 10944, -19488, 40504, -1848, 7680, -12040, 17696, 16728, -2944, -10536, -12376, 11480, -920, -5064, -7856, -888, 4608, 588, 4056, -28844, -7200, -29216, 41160, -9288, 3808, -34682, 20712, -52576, -15680, -12560, -21152, -2002, 6848, 33304, 23688, 6532, 13408, 88976, -8064, -7376, -25792, 8772, 20832, -61428, 18112, 7224, -21312, -16800, 512, 46064, -19368, 156, 4480, 5112, -15200, 18064, 13536, 12380, 1288, -14784, 22272, -38752, 5616, -10084, 9984, 42276, 980, -70416, -160, 2704, -24896, -58640, 1280, 1512, 9704, -38172, -10208, -25488, 31888, 41680, -1792, -3864, -27984, -5816, 10936, -30944, -13392, -20272, 7456, -49060, 44944, -66552, 5936, 17576, -8400, 6484, 4736, 15912, -30920, -40824, -3040, -1260, 34176, -35588, -2944, -16780, 19552, 21616, -7392, -18740, 19008, -496, 5120, -81084, -12400, -1372, 4608, -58556, 27784, -40152, 2112, 2628, -7448, -73332, 23600, 70224, -43992, 11316, 14144, 5152, -35136, -86032, -21568, -3296, 5272, 75688, -672, -26724, -9352, 12048, -4896, 29328, 10736, -14140, -4352, -9146, -19904, -19576, -9808, -29232, 1288, -46856, 2288, -17576, -3896, -64772, 27536, -9996, 1056, -14280, 9216, -29244, 20112, -20760, 3136, -9780, -48464, 12472, -8256, 43248, -6576, -26516, -4672, 6256, -11616, 43280, -5120, -17944, -9632, -8256, -18112, 42552, 20880, -12064, 16896, 15792, -22360, 69732, -41648, -1768, -19760, -17352, -1120, -65676, -25808, 23880, 5520, 4672, -3688, -10472, -1728, 62164, 62080, -14360, 26688, 8448, -168, 23112, 2048, -53412, 11072, -22336, 23664, -1372, -6560, 17600, 23168, 44148, -45792, 1472, 7952, -38316, 24832, 46784, 9600, 44296, 69400, 13636, -256, -23616, 12888, 9760, 1440, -684, 5656, -19000, 28272, -23784, -47704, -24112, 8448, 1960, -2116, -65696, 20512, -18540, 35048, 39008, 1568, 23888, -32736, 8040, 35632, 78656, -49856, -20244, 8512, -20272, 54752, 25936, 5472, -23792, -5880, -448, -5888, 8096, -38720, 16732, -15776, 812, -34088, 29560, 768, 35990, 36192, -66348, -4704, -39796, -21200, 55512, 16160, -35740, -11232, -14280, -1104, 44456, -7360, -2192, -1472, -25664, 10472, -52320, -34560, -18312, 11152, 49776, 11424, -17920, -5464, -36532, -21824, 31560, -22720, 58712, -3584, 9464, -50640, 25972, 30992, 4800, 25592, 2254, 30304, 40984, -13840, 21504, -17456, 12384, 7868, -14096, 11008, 68808, 48728, 35288, 13408, 36792, -59456, 168, -18048, 24412, -24288, 35912, 13776, 74936, 3956, 69712, 1280, -32572, -71352, -24360, 16680, 17496, -2448, -22224, 11968, 54272, 1400, -63768, -10768, 41472, -39312, -17048, 192, -20608, -5904, -14072, -44224, 15732, -45080, 34208, 1568, 93264, -11040, 36468, 15184, -18696, 50640, -12502, -9088, -43448, -14680, 114236, 11904, -27264, 8568, 36440, -15584, 700, 22080, -49944, 6624, -5740, -14320, -69000, -6464, 72748, -9752, 26632, 7616, -44804, 18376, 97112, -2240, 30016, -12704, 39256, -29536, -10964, -5040, 52516, -1792, 25356, -7504, 9844, 26928, -21984, -29456, -88008, 23136, -4214, 80152, 38464, 46832, 53580, -6864, 149760, 6720, 61652, 32824, -18320, -4288, -32656, 40728, 10556, -928, 110048, 736, 29544, 15904, -43880, -9464, -35872, 5376, 42684, 15172, 26676, 22896, 16688, -25632, -85696, 16320, 25608, -19456, -73564, 1792, -2504, 9368, 58224, -11968, 14352, -1184, -37352, -18944, 71200, -4080, 104544, 20480, 3432, -7056, -10212, -22656, 79088, 44704, -80136, 4096, -22932, 29624, -17176, -22336, 32400, -48696, 12336, -2576, -3424, 65536, -90060, 18208, 47904, 10816, 13048, -8992, -20008, -26832, -84132, -10848, 30960, -11816, -21116, -42048, -10952, -32616, -108252, 31776, -17304, -14904, 6808, -15744, 36816, 44856, 71160, 9856, 100740, 112288, -33704, 27840, 50764, 480, -784, -18880, 8860, -50848, 71688, -1600, -74144, 6496, -53880, -12208, -54288, 7360, 79616, 23552, 28224, -42440, 13472, 10496, 38452, -51552, -139952, -1792, -10176, 46752, -107040, -11856, 21888, -29024, -32676, 14288, 11664, 25456, -20140, -50048, 20332, 1736, 86248, -9792, 78396, -46000, -46664, 576, -18816, -8384, -50688, 6560, -56354, 6544, -52736, 2744, -4604, 57944, -69120, -8704, 101412, -33088, 20916, -6256, -84164, -43128, 18256, -44864, -50952, -3864, 37112, 19168, -88944, 13080, 115488, 8576, -22512, -85200, -26308, -65696, 7728, 69120, 111360, 4816, 57544, -62136, 13248, 0, 99064, 2512, 3976, -7680, 131404, 85616, -93584, 1936, -61464, -12880, -59488, -12064, -63952, -46696, -125280, 3104, -7840, -62584, 41104, 10816, 3016, -7360, -19100, 19152, -116888, -47904, 37472, -19072, 97228, -85200, 13440, 65584, 147488, 5536, -45864, -2048, 30168, -5152, -8624, -46904, 24864, -60184, -896, 42688, -1610, -6848, -51504, -32272, 70644, -109968, -25184, 8064, -71556, -7924, -90180, -21984, 91920, 89248, -12600, 26208, -56252, -11424, -28104, -20512, -23968, 6664, 61052, 2944, -91904, -18864, -90428, -42096, -27440, 40896, -61920, -14912, -177440, -22624, 36380, 11984, 48576, -77320, -107112, 13504, 8924, -55264, 23464, -34384, -80924, -38824, 13800, 19776, -17808, -45136, 13768, 22656, -35448, -19608, -6448, -11264, 31696, -46448, -9048, -23616, 36592, -48304, 14808, 896, 205836, -44408, -86720, 32304, 92712, 12144, 7840, -7424, 15842, -77256, -50800, -2976, 9216, 23688, 59056, -32256, -23304, 37464, -43844, -50944, 38976, -59280, 87028, 2048, -44464, 25096, 43388, 17472, 12236, -6192, -90856, 37344, -15872, -41888, -280, 32192, -71300, 51008, -163656, -1984, 52972, 2240, 82412, -9776, -23240, -13104, -79488, 21504, -17864, -3456, 66988, 1104, 107676, 7808, 121656, -3136, -1896, 68472, 76516, -34128, -4536, -35608, 19138, -23904, -30120, 57504, 49168, 3616, 15920, 13048, -105920, 4416, -104104, -44304, -2116, -47584, 10388, 63184, 11968, 25728, -85696, 117584, -63312, 8288, 102900, 117080, 33936, -5504, 65644, 88840, -5320, 15280, -100976, 44016, 28436, -4544, -70812, -5152, 78512, 19936, 124736, -36768, 44888, 14720, -12936, 48024, -117376, -39296, -18308, 16712, 36808, 8960, -76992, 7048, 71900, 27552, 1192, -83184, 8064, -21888, 15824, 38976, 103128, -81008, 51576, 3696, 106632, -15360, -84488, 24080, -20856, -35392, 41300, -33456, 46368, 5888, -58564, 21072, 7984, 24752, -29584, -22960, -10376, 1840, 30980, 10128, -37744, 15712, 96048, 1776, 3476, -9216, -1928, -1176, -11952, -8112, -130360, 57688, 100712, 14400, -8568, 58432, -48988, -82320, -110656, 18576, 276, -7616, 96086, 69364, -69144, -41424, -41664, 105152, -17164, 31360, 98840, 25120, 58936, 42304, -158144, 4004, -112072, -13696, -232908, -66608, 82420, -47376, 48188, -13064, -552, -26816, -22248, -177952, -3064, 16128, -95004, 14752, -51064, 51584, 36544, -17544, 5488, -41664, -103512, 122856, -100992, -36224, 4348, -14448, 193068, 42624, -9292, 33600, -132864, -1024, -8176, -92128, -80688, 38736, -35116, -312, -15544, -8960, 55788, -10224, 15032, 30400, 27424, -36128, -31696, -27072, -108304, -24760, -40476, -2576, -121248, 29568, -4400, -44544, 38036, 77504, 30912, -11232, -72884, 20168, 56820, -19968, -130844, -84552, -64800, -1960, 68600, 140832, -8136, 320, -58824, -5408, 9660, 49792, 62436, 117280, -105232, -2560, 4068, -3024, 76040, -19408, -64128, 76344, 148136, 20416, 46704, 50976, -56640, -63776, -129400, -83360, 85968, 3584, 155856, 7728, 122168, 55968, -46192, 11632, 41412, -21872, -138948, 61888, -82400, 26784, -87088, 40544, -48152, -14912, -43424, 98120, 46884, -89888, 13916, 133104, -76676, -11872, -17204, -35152, 36336, 16800, 136356, -12968, 8424, -9472, -89988, -31824, -448, 61840, 176644, 81648, 135904, 6080, -144704, 2520, -75224, -68352, -109488, 71176, 112840, 5888, 49476, 33560, -17864, -39104, -38688, -43232, 16584, 14784, 31642, 37480, -9656, -38016, 79528, 992, 35896, -10240, 20976, 162168, -46668, 24800, -11952, 2744, -12926, -9216, -110288, 117112, -61228, -55568, 62356, 80304, 62624, -4224, -94124, -5256, 136708, 14896, 95196, 146664, -49440, -47200, -27864, -140448, 9576, 87984, -56928, -22632, 83528, -28288, -49132, -10304, -22596, 70272, 118928, 172064, -20352, 43136, -27608, 6592, 48592, -10544, 33900, -151376, 173040, 1344, -10464, 53448, 130188, 18704, -2300, -24096, -8232, 9792, 139440, -58656, -151352, -21472, -118976, 28280, -49840, 8704, -288320, 18292, 145544, 39808, -1932, 39152, -86112, 19616, -15672, 58464, 53500, -2576, 6412, 93712, 72208, -4576, 78160, 35152, -60480, 7792, -23732, 129544, -32768, -55072, 2384, 19992, 7800, -2112, 187704, 28560, 132032, -18432, -38192, 58488, -14076, -40224, -7392, 41520, 129816, -6272, 41464, 19560, 24688, 96928, -82800, -24944, 54236, 16512, 161952, -86496, -134304, 13152, -283648, 53032, 142372, 9344, 88672, -12512, 66924, 23232, -30548, -86560, 172452, 10240, -107816, 35888, -68372, 19264, -101176, 16512, -185568, 36224, 36204, -85104, 23464, -41760, 208044, 24128, 96032, -33792, 12328, -31584, 16336, 44720, -3712, -139464, -51704, 83296, 24108, 3536, 71248, 39520, -156744, 34704, -112, 2240, 129532, 131352, 83472, 51616, 249360, -47760, 29190, -11040, -61082, -9344, 143192, 7376, -139696, 20944, -143900, 3456, -39376, -124328, 63312, -124160, -18844, 28720, 94736, -53376, -85384, -16896, -111292, 336, -159976, -46224, 15548, -4096, -35840, 106824, -77392, -22144, -63324, 44672, -60200, -47328, -171636, 2744, -26672, 13120, 125768, -35200, 147048, -46336, 26572, -88296, -99568, 91584, 49948, -2944, 54088, -15904, -91068, 76632, 79948, -49664, 95328, -93568, 20832, -19200, 229988, -88592, -134464, -138800, -288, -27272, 81156, 512, 17100, 47232, 101064, -25776, 11592, -19520, -149088, -2880, 123264, 1368, -27844, -11312, 40128, 38000, -38592, -56544, -120360, 47568, 13328, 95408, 30880, 48224, 12528, -16896, -187428, -3920, 94532, 4232, 32592, 131392, 188912, -41024, -51688, 37080, -107592, -70096, 15648, -78016, -88912, -3136, 147836, -47776, -27436, 65472, 171296, -16080, 47124, -71264, -268100, -157312, 19412, 99712, -179736, 40488, 86256, -17024, -135744, 40544, -82792, -109504, 81956, -51872, -154488, -10944, -1604, 47584, 16032, 11760, -26804, 896, -4840, 11776, -81996, -16192, -7504, 77440, 142236, -33464, 167016, 31552, -88492, -1624, -109512, 68176, 9864, -59120, 29944, -1536, 27832, -71980, 111120, -72384, -173088, 132696, 162656, 9408, -10672, 79592, -218848, 42400, -26592, -111024, 40068, -32320, 171424, 71480, -117588, 22464, -221328, 28560, -45204, 2208, 207912, -88912, 233564, 14720, 3136, 4384, 7060, 2944, 118502, 51328, -8208, -20944, 26260, 104640, 148832, 69120, 177432, 36624, -33152, -22304, -114032, -99552, -30064, -22848, -193228, 35840, -175956, 10928, -242992, 73064, -2852, 43648, -39648, -63120, -186712, 45440, 82540, -117424, 7872, 7168, 114272, -18928, 173884, 101280, 190992, -51944, -39088, -61984, 202688, -9600, -184708, -51184, -203472, -4508, 28512, -60608, 57720, -81968, 42460, 27680, 31864, -43008, 181768, 34912, -228640, -24768, 284804, -15736, 11236, 28192, 122728, -22016, -95948, -137616, -18984, -97456, 6348, -70576, 169536, -26816, 167100, -73584, -100848, 118912, 145496, -336, -15536, 36096, 55608, -48824, 18512, 48576, -83016, -71824, -125856, -27552, -73388, -149872, -53596, -7912, 48048, -139424, 17248, -2560, -76912, 65144, -21044, 142704, -208000, 48720, 92048, -33360, -89292, -34992, 31920, 4896, -33040, 44448, 159484, -23936, -88608, -108544, 21160, -2800, -45124, 127536, 100896, 21536, -265584, -82944, -21364, 78624, 15188, 34096, -140896, -384, 17712, 41216, -30672, 11808, -33624, 28144, 88848, 88448, 18368, -31464, -93488, 90160, 76928, -68416, 207288, -3136, -196344, -186528, 248520, 22080, 95424, -72936, -20748, -30368, -16960, 37392, -104620, -101280, 230688, 25004, 23124, 18176, 8464, 86896, -65404, 29360, -87584, -228472, 39168, -23808, -172548, 54528, -127680, -17136, -75504, -72880, -31152, 31168, 59704, -1400, 1008, -44160, 8300, 99888, 45044, -13248, 46964, 11480, -179696, 28640, 223184, 138000, -324920, 12928, 4802, -145496, -251648, 19504, 68336, -53264, -20368, -15232, 210912, 89608, 91828, -36752, -5104, -194224, -10948, 4480, 282992, -60032, 400920, 25408, -91320, -78512, -45984, 59072, 52372, 21928, 98088, 10080, 33544, -105032, -102576, 3584, 55100, -50712, -95088, 15008, 181204, -19688, 65368, -53856, -166660, 43968, -114968, 58912, -174144, 176016, 135696, -46272, -282552, 8428, 104544, -160304, -141024, -76928, 237296, -93664, 0, -107160, -136260, 13728, 74152, -299520, -158296, -13440, 81648, -123304, -194036, -65648, -103320, 36640, 3388, 8576, -10212, 65312, 45732, -81456, 57200, -21112, 94040, 1856, -285520, -220096, 131680, -1472, 5432, -59088, -162384, -31808, -56760, 87760, 221304, 18928, 115872, 71744, -44832, -10752, -59352, -85368, 33516, -30344, 22752, -53352, -168036, -45792, 153016, -33376, -38916, 51264, -162640, 171392, 127312, -32640, 114772, -51216, 22688, 38912, -34344, 147128, 99168, -3584, -97812, 5008, 34804, -18736, 49144, -116448, -82082, 23936, 109580, -28704, 180880, 2368, -225256, 74704, 43444, 37888, -93808, -142400, -232852, 8160, -56476, -209088, -30520, -40960, -245296, -6864, -76484, 14112, 133220, 20424, 134952, 45312, -3680, -158176, -38472, -89408, -322780, 160272, -190888, -8192, 120464, 45864, 163584, -59248, -54464, 34352, -429256, 44672, -35896, -64800, 94104, 97392, -160872, -24672, -10448, 5152, 92484, 6848, 168108, -131072, 7480, 180120, -73668, -36416, 301032, -95808, -104128, -21632, 151080, -26096, 24928, 17984, -135780, 40016, -202672, 53664, 20972, 168264, -21436, 21696, -54834, -61920, -57640, 23632, -275188, 42232, -163008, 84096, 72420, 21904, -60172, 65232, 16240, 216504, -36768, -63552, 102132, 34608, 71552, 29808, 151992, -13616, 217104, 31488, 39648, -73632, 151280, -89712, -197328, -142320, -65656, -19712, -152012, -201480, 127192, -224576, 184064, 67408, -41328, -55680, -12568, -101528, -112476, -960, 8464, 1568, -247576, 37760, 208944, -17720, -174312, 101696, 56532, -143376, -60164, 3200, 76052, 148288, 129276, -12992, 224260, 107760, 212792, 24416, 64272, 108576, -5208, -14720, 340108, -159232, 119232, -47104, 196296, -56448, -152456, 84880, -82896, -26944, 136392, -20992, -89152, -76904, -227884, 103104, -307136, 279904, 406600, 3584, 281852, 20352, -6072, -93504, 44160, 214080, 30576, 23712, -64208, -43776, 525824, 58048, 65080, 65352, 203176, -28576, 79352, -23328, 114748, -50912, 56336, 40280, -236, 100096, -324940, -40664, 245144, -3472, -70944, -172496, -173464, 19584, -33456, -156792, -17108, 92000, -204, 93328, 125696, -1152, -9780, 37632, -44712, 16768, 101488, 101376, 148088, -13120, 1932, 112708, -166464, -13088, -39928, 105472, -136288, -5488, 75780, 9208, 222264, -115888, 21944, 138240, -59724, 17408, 319520, -202824, 51664, 66176, 198208, -41832, 385820, 12512, -321960, 168328, -85084, 86256, 6328, -36512, -242668, 89728, 118720, 101904, 40504, 7728, -125060, -74224, -61856, -38336, 93804, 177888, -83272, -26160, 5120, -230976, -6578, -17152, -84320, 45024, 188232, 170400, 238160, 52616, -93696, 131392, 14504, -15456, 178816, -138240, -200028, -222720, 182536, -9632, 230332, -115088, -42452, 124272, 287808, -26496, 26740, 0, -125506, -198128, 9108, -5024, -7720, -7952, -175616, 15360, 218916, -262808, -145196, -171232, 34888, 187168, -262236, -3872, 270092, 122928, 117768, 25760, 23736, 118976, -107592, 24128, 225196, 127904, -68768, 93392, -21396, 250560, 86412, -6208, 168728, 15680, -357776, 125168, -143120, -82208, 207760, -21632, 48216, -6032, -273128, 14720, -241184, 38200, 141824, -38304, 220284, 233776, 32040, 95808, -375592, -74944, -141764, 38144, 64992, -194456, 283332, 170400, -150000, -26880, -43680, -131168, -44700, -294976, -48576, -11072, -61936, 91728, -2616, 4096, -34272, -60336, 204532, 10304, 294744, 17248, 72128, 93808, -46528, -49728, 43316, 120368, 270504, 1792, 77592, -85376, -51420, 3220, -102616, 13696, 99328, 103008, 283848, 64544, 27496, -141288, 11128, 219936, -44204, 50368, 434016, -16128, 245392, 143112, 239184, 15848, -169248, 180360, -14196, 43968, 4968, -183840, -184280, -178496, 92376, 25200, 48152, -52416, -106864, 112504, 175200, 22848, -144060, 56208, 266084, 41024, 300648, 47936, 154460, -13328, 10048, -122104, -95904, -5888, 41256, 183808, -72492, 37728, -207512, 180856, 36112, 84192, -158684, 54880, -295032, -81792, 45456, 123840, -43440, 29824, 74032, 354880, 178116, 45248, -32000, -72760, -66608, -23968, -245396, -97152, -51460, 154640, -276664, 214224, -82908, -27008, -7032, -17848, 133136, 110528, -72672, -46928, 148000, 68768, -65376, 161848, -31456, 77648, 28224, -27600, 118032, -39552, 316104, 35616, 89152, 90272, -19420, -27536, 49264, -45312], "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], [-2, 0], [-2, 3], [4, 0], [8, -3], [4, -6], [7, 0], [-8, 0], [-5, -12], [-16, 6], [30, -12], [-8, 12], [36, -2], [-14, 0], [-34, 30], [16, 0], [6, 59], [10, 24], [-14, 20], [32, -12], [-14, 21], [-60, 24], [23, 0], [16, -24], [-43, -48], [-72, 4], [-8, -72], [28, 0], [-80, 18], [68, -60], [80, 97], [-32, 0], [-132, 114], [-12, -118], [56, -21], [-20, -48], [142, 34], [28, -40], [-84, 112], [-64, 24], [246, 168], [28, -42], [136, -196], [120, -48], [32, -81], [-46, 0], [176, -257], [-32, 48], [49, 0], [86, 96], [342, -100], [144, -8], [214, -142], [16, 144], [312, -186], [-56, 0], [148, -82], [160, -36], [442, 273], [-136, 120], [288, -177], [-160, -194], [-35, -84], [64, 0], [300, -124], [264, -228], [266, 136], [24, 236], [-46, 69], [-112, 42], [344, 394], [40, 96], [6, 466], [-284, -68], [-202, -33], [-56, 80], [210, -84], [168, -224], [-374, -574], [128, -48], [-281, 444], [-492, -336], [-50, -394], [-56, 84], [-306, 454], [-272, 392], [268, -276], [-240, 96], [338, 855], [-64, 162], [252, -14], [92, 0], [422, 46], [-352, 514], [-232, 202], [64, -96], [-62, -245], [-98, 0], [138, -300], [-172, -192]]}