# Stored data for newform 800.4.a.p, downloaded from the LMFDB on 14 January 2025.
{"Nk2": 12800, "analytic_conductor": 47.20152800459249, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, 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": [800, 1, [351, 101, 577], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 40, "field_disc_factorization": [[2, 3], [5, 1]], "field_poly": [-10, 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": 1, "hecke_cutters": [[3, [-40, 0, 1]], [11, [-160, 0, 1]], [13, [38, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994477667104, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], "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": "800.4.a.p", "level": 800, "level_is_powerful": true, "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, 5], "level_radical": 10, "minimal_twist": "160.4.a.f", "nf_label": "2.2.40.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta q^{3}+3\\beta q^{7}+13q^{9}+2\\beta q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "800.4.a", "trace_display": [0, 0, 0, 0], "trace_hash": 189061603701941841, "trace_moments": [{"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "1.874", "prec": 17}, {"__RealLiteral__": 0, "data": "0.677", "prec": 17}, {"__RealLiteral__": 0, "data": "14.806", "prec": 20}, {"__RealLiteral__": 0, "data": "9.417", "prec": 17}, {"__RealLiteral__": 0, "data": "145.585", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "traces": [0, 2, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, -76, 0, 0, 0, -68, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 540, 0, 0, 0, 160, 0, 0, 0, -412, 0, 0, 0, -540, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 516, 0, 0, 0, 1280, 0, 0, 0, -500, 0, 0, 0, 0, 0, 0, 0, 1040, 0, 0, 0, 2156, 0, 0, 0, 480, 0, 0, 0, -1822, 0, 0, 0, 0, 0, 0, 0, 1780, 0, 0, 0, 4320, 0, 0, 0, 508, 0, 0, 0, 1196, 0, 0, 0, 0, 0, 0, 0, 1708, 0, 0, 0, -3396, 0, 0, 0, -988, 0, 0, 0, -2342, 0, 0, 0, 0, 0, 0, 0, 6800, 0, 0, 0, 3840, 0, 0, 0, -3092, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, 6492, 0, 0, 0, -884, 0, 0, 0, 2452, 0, 0, 0, 3120, 0, 0, 0, 0, 0, 0, 0, -1506, 0, 0, 0, 6196, 0, 0, 0, 960, 0, 0, 0, 4364, 0, 0, 0, 0, 0, 0, 0, -3360, 0, 0, 0, -2596, 0, 0, 0, -5692, 0, 0, 0, -10320, 0, 0, 0, 0, 0, 0, 0, 2560, 0, 0, 0, 8160, 0, 0, 0, 12960, 0, 0, 0, 2584, 0, 0, 0, 0, 0, 0, 0, -2100, 0, 0, 0, -5556, 0, 0, 0, 3520, 0, 0, 0, -10700, 0, 0, 0, 0, 0, 0, 0, -14000, 0, 0, 0, 2080, 0, 0, 0, -2148, 0, 0, 0, 7020, 0, 0, 0, 0, 0, 0, 0, 812, 0, 0, 0, -9120, 0, 0, 0, -11868, 0, 0, 0, -3740, 0, 0, 0, 0, 0, 0, 0, -7514, 0, 0, 0, -10396, 0, 0, 0, -2240, 0, 0, 0, 20400, 0, 0, 0, 0, 0, 0, 0, -6320, 0, 0, 0, -4436, 0, 0, 0, -8268, 0, 0, 0, 7920, 0, 0, 0, 0, 0, 0, 0, -5040, 0, 0, 0, -5356, 0, 0, 0, 16028, 0, 0, 0, 8640, 0, 0, 0, 0, 0, 0, 0, 1820, 0, 0, 0, -25924, 0, 0, 0, -8160, 0, 0, 0, 6762, 0, 0, 0, 0, 0, 0, 0, -7020, 0, 0, 0, -9244, 0, 0, 0, -20520, 0, 0, 0, -2960, 0, 0, 0, 0, 0, 0, 0, -22212, 0, 0, 0, -21920, 0, 0, 0, 11508, 0, 0, 0, -2236, 0, 0, 0, 0, 0, 0, 0, -22748, 0, 0, 0, 2880, 0, 0, 0, -4160, 0, 0, 0, 2300, 0, 0, 0, 0, 0, 0, 0, -6080, 0, 0, 0, 15836, 0, 0, 0, 16640, 0, 0, 0, 442, 0, 0, 0, 0, 0, 0, 0, 8948, 0, 0, 0, 19040, 0, 0, 0, -8308, 0, 0, 0, -22564, 0, 0, 0, 0, 0, 0, 0, -30960, 0, 0, 0, 13600, 0, 0, 0, 6708, 0, 0, 0, 15656, 0, 0, 0, 0, 0, 0, 0, 18320, 0, 0, 0, -18360, 0, 0, 0, 24480, 0, 0, 0, -29520, 0, 0, 0, 0, 0, 0, 0, 4700, 0, 0, 0, -17920, 0, 0, 0, -3360, 0, 0, 0, 1716, 0, 0, 0, 0, 0, 0, 0, -10814, 0, 0, 0, 20520, 0, 0, 0, -29760, 0, 0, 0, 40956, 0, 0, 0, 0, 0, 0, 0, -6500, 0, 0, 0, 10560, 0, 0, 0, 26388, 0, 0, 0, -5440, 0, 0, 0, 0, 0, 0, 0, 9188, 0, 0, 0, -38240, 0, 0, 0, 29852, 0, 0, 0, -42000, 0, 0, 0, 0, 0, 0, 0, 69120, 0, 0, 0, 53916, 0, 0, 0, -45440, 0, 0, 0, 43940, 0, 0, 0, 0, 0, 0, 0, 64800, 0, 0, 0, -5756, 0, 0, 0, -54708, 0, 0, 0, -14560, 0, 0, 0, 0, 0, 0, 0, 14008, 0, 0, 0, 52960, 0, 0, 0, -1292, 0, 0, 0, -18860, 0, 0, 0, 0, 0, 0, 0, 1920, 0, 0, 0, -37484, 0, 0, 0, 28028, 0, 0, 0, 15260, 0, 0, 0, 0, 0, 0, 0, 60240, 0, 0, 0, 21756, 0, 0, 0, -252, 0, 0, 0, 21040, 0, 0, 0, 0, 0, 0, 0, -19608, 0, 0, 0, 6240, 0, 0, 0, 18360, 0, 0, 0, -44020, 0, 0, 0, 0, 0, 0, 0, 1100, 0, 0, 0, 56160, 0, 0, 0, 32320, 0, 0, 0, -18960, 0, 0, 0, 0, 0, 0, 0, 6554, 0, 0, 0, -4844, 0, 0, 0, -20640, 0, 0, 0, -48640, 0, 0, 0, 0, 0, 0, 0, 23760, 0, 0, 0, 74400, 0, 0, 0, 38692, 0, 0, 0, -66156, 0, 0, 0, 0, 0, 0, 0, 65060, 0, 0, 0, 24004, 0, 0, 0, -49440, 0, 0, 0, 16320, 0, 0, 0, 0, 0, 0, 0, -18800, 0, 0, 0, 19000, 0, 0, 0, 65332, 0, 0, 0, 23140, 0, 0, 0, 0, 0, 0, 0, -46220, 0, 0, 0, -4960, 0, 0, 0, 108800, 0, 0, 0, -17700, 0, 0, 0, 0, 0, 0, 0, -46068, 0, 0, 0, -1156, 0, 0, 0, -60480, 0, 0, 0, 97022, 0, 0, 0, 0, 0, 0, 0, 61840, 0, 0, 0, 38244, 0, 0, 0, -35572, 0, 0, 0, -64800, 0, 0, 0, 0, 0, 0, 0, 7040, 0, 0, 0, 6604, 0, 0, 0, 15412, 0, 0, 0, 20820, 0, 0, 0, 0, 0, 0, 0, -8880, 0, 0, 0, -26880, 0, 0, 0, -39520, 0, 0, 0, -17544, 0, 0, 0, 0, 0, 0, 0, 15548, 0, 0, 0, -28000, 0, 0, 0, -65760, 0, 0, 0, -47440, 0, 0, 0, 0, 0, 0, 0, 69492, 0, 0, 0, -79200, 0, 0, 0, -43188, 0, 0, 0, -40036, 0, 0, 0, 0, 0, 0, 0, -81928, 0, 0, 0, 684, 0, 0, 0, 43200, 0, 0, 0, 173698, 0, 0, 0, 0, 0, 0, 0, -43520, 0, 0, 0, -12480, 0, 0, 0, -52452, 0, 0, 0, 22204, 0, 0, 0, 0, 0, 0, 0, 88400, 0, 0, 0, -151200, 0, 0, 0, 62052, 0, 0, 0, -18240, 0, 0, 0, 0, 0, 0, 0, -25660, 0, 0, 0, -39516, 0, 0, 0, -44148, 0, 0, 0, 95804, 0, 0, 0, 0, 0, 0, 0, -78240, 0, 0, 0, -3924, 0, 0, 0, 17000, 0, 0, 0, -56720, 0, 0, 0, 0, 0, 0, 0, -94860, 0, 0, 0, 69236, 0, 0, 0, 57120, 0, 0, 0, 50604, 0, 0, 0, 0, 0, 0, 0, -108308, 0, 0, 0, -111240, 0, 0, 0, -154240, 0, 0, 0, -21840, 0, 0, 0, 0, 0, 0, 0, -30446, 0, 0, 0, -33884, 0, 0, 0, 7788, 0, 0, 0, 43440, 0, 0, 0, 0, 0, 0, 0, 18860, 0, 0, 0, 61920, 0, 0, 0, 109428, 0, 0, 0, 15360, 0, 0, 0, 0, 0, 0, 0, -30652, 0, 0, 0, -12640, 0, 0, 0, 106880, 0, 0, 0, 54960, 0, 0, 0, 0, 0, 0, 0, -22960, 0, 0, 0, 38684, 0, 0, 0, -67640, 0, 0, 0, -95200, 0, 0, 0, 0, 0, 0, 0, -88560, 0, 0, 0, -35360, 0, 0, 0, 15840, 0, 0, 0, 11980, 0, 0, 0, 0, 0, 0, 0, -145800, 0, 0, 0, -32756, 0, 0, 0, 49920, 0, 0, 0, -34860, 0, 0, 0, 0, 0, 0, 0, -164160, 0, 0, 0, 8436, 0, 0, 0, -115332, 0, 0, 0, -32960, 0, 0, 0, 0, 0, 0, 0, 76220, 0, 0, 0, -40196, 0, 0, 0, -79548, 0, 0, 0, -73304, 0, 0, 0, 0, 0, 0, 0, -25660, 0, 0, 0, -89280, 0, 0, 0, 160320, 0, 0, 0, -19304, 0, 0, 0, 0, 0, 0, 0, 23520, 0, 0, 0, -165120, 0, 0, 0, -28908, 0, 0, 0, -60000, 0, 0, 0, 0, 0, 0, 0, -69740, 0, 0, 0, -17120, 0, 0, 0, 164092, 0, 0, 0, 157980, 0, 0, 0, 0, 0, 0, 0, -16320, 0, 0, 0, -45448, 0, 0, 0, -179840, 0, 0, 0, 86180, 0, 0, 0, 0, 0, 0, 0, 133840, 0, 0, 0, 367200, 0, 0, 0, -114720, 0, 0, 0, 84396, 0, 0, 0, 0, 0, 0, 0, 130560, 0, 0, 0, -43200, 0, 0, 0, 12480, 0, 0, 0, 19716, 0, 0, 0, 0, 0, 0, 0, -16434, 0, 0, 0, -86956, 0, 0, 0, 61948, 0, 0, 0, 113020, 0, 0, 0, 0, 0, 0, 0, -69040, 0, 0, 0, -136320, 0, 0, 0, -5920, 0, 0, 0, -47760, 0, 0, 0, 0, 0, 0, 0, 130980, 0, 0, 0, 31876, 0, 0, 0, -64904, 0, 0, 0, 9180, 0, 0, 0, 0, 0, 0, 0, -47012, 0, 0, 0, 105356, 0, 0, 0, -112960, 0, 0, 0, -43840, 0, 0, 0, 0, 0, 0, 0, 40560, 0, 0, 0, 15924, 0, 0, 0, -90720, 0, 0, 0, 30640, 0, 0, 0, 0, 0, 0, 0, 129048, 0, 0, 0, -113760, 0, 0, 0, 158880, 0, 0, 0, -142460, 0, 0, 0, 0, 0, 0, 0, 57108, 0, 0, 0, -21884, 0, 0, 0, -44800, 0, 0, 0, 56320, 0, 0, 0, 0, 0, 0, 0, 30160, 0, 0, 0, -60520, 0, 0, 0, 111240, 0, 0, 0, -19578, 0, 0, 0, 0, 0, 0, 0, -8320, 0, 0, 0, 258720, 0, 0, 0, 139320, 0, 0, 0, -134160, 0, 0, 0, 0, 0, 0, 0, 36540, 0, 0, 0, 78236, 0, 0, 0, 80548, 0, 0, 0, 180720, 0, 0, 0, 0, 0, 0, 0, 73360, 0, 0, 0, 88996, 0, 0, 0, -224000, 0, 0, 0, -146880, 0, 0, 0, 0, 0, 0, 0, 63120, 0, 0, 0, -13440, 0, 0, 0, 33108, 0, 0, 0, -220796, 0, 0, 0, 0, 0, 0, 0, 196132, 0, 0, 0, 100596, 0, 0, 0, 2720, 0, 0, 0, -134324, 0, 0, 0, 0, 0, 0, 0, 56732, 0, 0, 0, 106080, 0, 0, 0, 58692, 0, 0, 0, -131920, 0, 0, 0, 0, 0, 0, 0, -17272, 0, 0, 0, 345600, 0, 0, 0, 251692, 0, 0, 0, 38080, 0, 0, 0, 0, 0, 0, 0, -80180, 0, 0, 0, 96960, 0, 0, 0, -258400, 0, 0, 0, 7958, 0, 0, 0, 0, 0, 0, 0, 123600, 0, 0, 0, 25844, 0, 0, 0, 193692, 0, 0, 0, -127920, 0, 0, 0, 0, 0, 0, 0, 17020, 0, 0, 0, 55520, 0, 0, 0, -40664, 0, 0, 0, 108276, 0, 0, 0, 0, 0, 0, 0, -145920, 0, 0, 0, 40804, 0, 0, 0, -33748, 0, 0, 0, 182364, 0, 0, 0, 0, 0, 0, 0, 41280, 0, 0, 0, -27796, 0, 0, 0, 223200, 0, 0, 0, -102480, 0, 0, 0, 0, 0, 0, 0, -135000, 0, 0, 0, -73996, 0, 0, 0, -177348, 0, 0, 0, 117496, 0, 0, 0, 0, 0, 0, 0, 288860, 0, 0, 0, 36640, 0, 0, 0, 80320, 0, 0, 0, 17220, 0, 0, 0, 0, 0, 0, 0, 144480, 0, 0, 0, -7004, 0, 0, 0, 45760, 0, 0, 0, -49040, 0, 0, 0, 0, 0, 0, 0, 51840, 0, 0, 0, 63840, 0, 0, 0, -59040, 0, 0, 0, -56400, 0, 0, 0, 0, 0, 0, 0, 418986, 0, 0, 0, -58072, 0, 0, 0, 158720, 0, 0, 0, -261396, 0, 0, 0, 0, 0, 0, 0, 213600, 0, 0, 0, 183484, 0, 0, 0, -190492, 0, 0, 0, 33280, 0, 0, 0, 0, 0, 0, 0, -197548, 0, 0, 0, -390560, 0, 0, 0, -14880, 0, 0, 0, -84180, 0, 0, 0, 0, 0, 0, 0, -182000, 0, 0, 0, 29196, 0, 0, 0, -114240, 0, 0, 0, 115464, 0, 0, 0, 0, 0, 0, 0, 124560, 0, 0, 0, -157324, 0, 0, 0, -246696, 0, 0, 0, 380080, 0, 0, 0, 0, 0, 0, 0, -161972, 0, 0, 0, 168480, 0, 0, 0, -101120, 0, 0, 0, -106296, 0, 0, 0, 0, 0, 0, 0, -59520, 0, 0, 0, 65924, 0, 0, 0, -105280, 0, 0, 0, 185520, 0, 0, 0, 0, 0, 0, 0, 33592, 0, 0, 0, -198804, 0, 0, 0, 176692, 0, 0, 0, 280800, 0, 0, 0, 0, 0, 0, 0, -9180, 0, 0, 0, -40000, 0, 0, 0, 105148, 0, 0, 0, -142800, 0, 0, 0, 0, 0, 0, 0, 10940, 0, 0, 0, 126720, 0, 0, 0, 60960, 0, 0, 0, -93176, 0, 0, 0, 0, 0, 0, 0, -207600, 0, 0, 0, -114396, 0, 0, 0, 79628, 0, 0, 0, -27300, 0, 0, 0, 0, 0, 0, 0, 339180, 0, 0, 0, -166880, 0, 0, 0, -557280, 0, 0, 0, -126556, 0, 0, 0, 0, 0, 0, 0, -162220, 0, 0, 0, -118560, 0, 0, 0, -72228, 0, 0, 0, -76480, 0, 0, 0, 0, 0, 0, 0, -263680, 0, 0, 0, 166684, 0, 0, 0, 582120, 0, 0, 0, 143520, 0, 0, 0, 0, 0, 0, 0, -126028, 0, 0, 0, -49280, 0, 0, 0, -24052, 0, 0, 0, -168180, 0, 0, 0, 0, 0, 0, 0, -142320, 0, 0, 0, 315436, 0, 0, 0, 226880, 0, 0, 0, 49780, 0, 0, 0, 0, 0, 0, 0, -139100, 0, 0, 0, -139320, 0, 0, 0, -237600, 0, 0, 0, -211600, 0, 0, 0, 0, 0, 0, 0, -90880, 0, 0, 0, -231200, 0, 0, 0, 224200, 0, 0, 0, 440640, 0, 0, 0, 0, 0, 0, 0, -172366, 0, 0, 0, -252444, 0, 0, 0, 247360, 0, 0, 0, -162580, 0, 0, 0, 0, 0, 0, 0, -392880, 0, 0, 0, 129600, 0, 0, 0, 41812, 0, 0, 0, 196000, 0, 0, 0, 0, 0, 0, 0, -235448, 0, 0, 0, -153760, 0, 0, 0, 103000, 0, 0, 0, -130560, 0, 0, 0, 0, 0, 0, 0, -361012, 0, 0, 0, -35556, 0, 0, 0, 27040, 0, 0, 0, 25540, 0, 0, 0, 0, 0, 0, 0, 204960, 0, 0, 0, -288956, 0, 0, 0, -93588, 0, 0, 0, -36480, 0, 0, 0, 0, 0, 0, 0, -97668, 0, 0, 0, -27924, 0, 0, 0, -453600, 0, 0, 0, 105920, 0, 0, 0, 0, 0, 0, 0, 105128, 0, 0, 0, 381684, 0, 0, 0, -345600, 0, 0, 0, -24260, 0, 0, 0, 0, 0, 0, 0, -491940, 0, 0, 0, -165832, 0, 0, 0, 336228, 0, 0, 0, 252400, 0, 0, 0, 0, 0, 0, 0, -82160, 0, 0, 0, -407520, 0, 0, 0, -120308, 0, 0, 0, -25300, 0, 0, 0, 0, 0, 0, 0, 285420, 0, 0, 0, -203124, 0, 0, 0, 57120, 0, 0, 0, -246382, 0, 0, 0, 0, 0, 0, 0, 172480, 0, 0, 0, -47360, 0, 0, 0, -349092, 0, 0, 0, 10556, 0, 0, 0, 0, 0, 0, 0, -170160, 0, 0, 0, 450720, 0, 0, 0, -56348, 0, 0, 0, 290516, 0, 0, 0, 0, 0, 0, 0, 190080, 0, 0, 0, 120480, 0, 0, 0, 127680, 0, 0, 0, 102960, 0, 0, 0, 0, 0, 0, 0, 175760, 0, 0, 0, -180276, 0, 0, 0, 369588, 0, 0, 0, 453360, 0, 0, 0, 0, 0, 0, 0, -350720, 0, 0, 0, -154284, 0, 0, 0, 42080, 0, 0, 0, 135000, 0, 0, 0, 0, 0, 0, 0, 98648, 0, 0, 0, -462720, 0, 0, 0, -467520, 0, 0, 0, -356860, 0, 0, 0, 0, 0, 0, 0, -48620, 0, 0, 0, -220728, 0, 0, 0, 81600, 0, 0, 0, -281040, 0, 0, 0, 0, 0, 0, 0, 88732, 0, 0, 0, -214240, 0, 0, 0, 20308, 0, 0, 0, 216296, 0, 0, 0, 0, 0, 0, 0, 130320, 0, 0, 0, -756000, 0, 0, 0, -363200, 0, 0, 0, 480600, 0, 0, 0, 0, 0, 0, 0, -300400, 0, 0, 0, 97276, 0, 0, 0, 8772, 0, 0, 0, -97682, 0, 0, 0, 0, 0, 0, 0, -267052, 0, 0, 0, 392160, 0, 0, 0, -74612, 0, 0, 0, 12604, 0, 0, 0, 0, 0, 0, 0, 64640, 0, 0, 0, 368556, 0, 0, 0, -135148, 0, 0, 0, -66560, 0, 0, 0, 0, 0, 0, 0, 339280, 0, 0, 0, 320640, 0, 0, 0, -169732, 0, 0, 0, -267280, 0, 0, 0, 0, 0, 0, 0, -83368, 0, 0, 0, -85280, 0, 0, 0, -103292, 0, 0, 0, -68880, 0, 0, 0, 0, 0, 0, 0, -173292, 0, 0, 0, -402684, 0, 0, 0, 1166400, 0, 0, 0, -444136, 0, 0, 0, 0, 0, 0, 0, 265200, 0, 0, 0, 272716, 0, 0, 0, -97280, 0, 0, 0, 243120, 0, 0, 0, 0, 0, 0, 0, 309620, 0, 0, 0, 498400, 0, 0, 0, -106080, 0, 0, 0, 453980, 0, 0, 0, 0, 0, 0, 0, 154828, 0, 0, 0, 540444, 0, 0, 0, 543040, 0, 0, 0, 148800, 0, 0, 0, 0, 0, 0, 0, -310080, 0, 0, 0, -20160, 0, 0, 0, -138932, 0, 0, 0, 88480, 0, 0, 0, 0, 0, 0, 0, 485308, 0, 0, 0, 21760, 0, 0, 0, -38188, 0, 0, 0, -129084, 0, 0, 0, 0, 0, 0, 0, -164626, 0, 0, 0, 137160, 0, 0, 0, -57668, 0, 0, 0, -492480, 0, 0, 0, 0, 0, 0, 0, -280800, 0, 0, 0, 398556, 0, 0, 0, -48572, 0, 0, 0, -583760, 0, 0, 0, 0, 0, 0, 0, -98880, 0, 0, 0, -107484, 0, 0, 0, 224748, 0, 0, 0, -16804, 0, 0, 0, 0, 0, 0, 0, 304640, 0, 0, 0, 51204, 0, 0, 0, -371040, 0, 0, 0, -877200, 0, 0, 0, 0, 0, 0, 0, -110880, 0, 0, 0, -37600, 0, 0, 0, 3228, 0, 0, 0, 654320, 0, 0, 0, 0, 0, 0, 0, 438412, 0, 0, 0, -39200, 0, 0, 0, -115132, 0, 0, 0, -38480, 0, 0, 0, 0, 0, 0, 0, 322920, 0, 0, 0, 480960, 0, 0, 0, 142400, 0, 0, 0, -210664, 0, 0, 0, 0, 0, 0, 0, -139760, 0, 0, 0, 156364, 0, 0, 0, 301812, 0, 0, 0, -65520, 0, 0, 0, 0, 0, 0, 0, 357252, 0, 0, 0, 580960, 0, 0, 0, 79800, 0, 0, 0, -9920, 0, 0, 0, 0, 0, 0, 0, -8500, 0, 0, 0, -582120, 0, 0, 0, 375332, 0, 0, 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], [0, 1], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [13, 0], [0, 0], [0, 2], [0, 0], [-38, 0], [0, 0], [0, 0], [0, 0], [-34, 0], [0, 0], [0, 16], [0, 0], [120, 0], [0, 0], [0, 13], [0, 0], [0, 0], [0, 0], [0, -14], [0, 0], [270, 0], [0, 0], [0, 54], [0, 0], [80, 0], [0, 0], [0, 0], [0, 0], [-206, 0], [0, 0], [0, -38], [0, 0], [-270, 0], [0, 0], [0, 85], [0, 0], [0, 0], [0, 0], [0, -21], [0, 0], [17, 0], [0, 0], [0, -34], [0, 0], [258, 0], [0, 0], [0, 0], [0, 0], [640, 0], [0, 0], [0, 12], [0, 0], [-250, 0], [0, 0], [0, 39], [0, 0], [0, 0], [0, 0], [0, -129], [0, 0], [520, 0], [0, 0], [0, 102], [0, 0], [1078, 0], [0, 0], [0, 0], [0, 0], [240, 0], [0, 0], [0, 44], [0, 0], [-911, 0], [0, 0], [0, -175], [0, 0], [0, 0], [0, 0], [0, 270], [0, 0], [890, 0], [0, 0], [0, -114], [0, 0], [2160, 0], [0, 0], [0, 0], [0, 0], [254, 0], [0, 0], [0, 26], [0, 0]]}