# Stored data for newform 24.3.h.c, downloaded from the LMFDB on 19 April 2024.
{"label": "24.3.h.c", "space_label": "24.3.h", "level": 24, "weight": 3, "hecke_orbit": 3, "hecke_orbit_code": 9007680341409816, "dim": 4, "is_polredabs": true, "nf_label": "4.0.3136.3", "trace_hash": 2011939308765241486, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-32, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-\\beta _{2}-\\beta _{3})q^{3}+(-3+\\beta _{3})q^{4}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 24, "char_orbit_label": "h", "char_is_real": true, "Nk2": 216, "analytic_conductor": 0.6539526344647125, "hecke_ring_index": 2, "level_radical": 6, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.758", "prec": 17}, "analytic_rank_proved": true, "char_values": [24, 2, [7, 13, 17], [2, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [5], "field_disc": 3136, "field_disc_factorization": [[2, 6], [7, 2]], "field_poly": [16, 0, 6, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "3.674", "prec": 17}, {"__RealLiteral__": 0, "data": "1.620", "prec": 17}, {"__RealLiteral__": 0, "data": "115.998", "prec": 24}, {"__RealLiteral__": 0, "data": "75.185", "prec": 20}, {"__RealLiteral__": 0, "data": "4616.319", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "2.2.3.c2", "trace_display": [0, 0, 0, 16], "traces": [0, 4, 0, 0, -12, 0, 4, 16, 0, -20, -16, 0, 28, 0, 0, -32, 8, 0, 56, 0, 0, 0, 24, 0, -40, 28, 0, 0, -48, 0, -112, -16, 0, 48, -112, 0, 60, 0, 0, 112, 160, 0, 16, 0, 0, 0, 224, 0, -168, -132, 0, 0, -112, 0, -76, -192, 0, 56, 48, 0, 96, 0, 0, -80, 144, 0, 168, 0, 0, 0, -64, 0, -112, -24, 0, 0, -56, 0, -112, 496, 0, -124, -224, 0, 112, 0, 0, 96, -240, 0, 80, 0, 0, 0, 0, 0, 176, 472, 0, 0, -84, 0, 112, -432, 0, -128, -144, 0, -28, 0, 0, -560, 32, 0, -56, 0, 0, 0, 136, 0, 224, -196, 0, 0, 48, 0, 224, 304, 0, -56, 448, 0, -144, 0, 0, 608, 224, 0, -224, 0, 0, 0, -672, 0, -40, -384, 0, 0, 560, 0, 28, -240, 0, 448, 96, 0, -336, 0, 0, -288, -704, 0, -560, 0, 0, 0, -8, 0, -160, 228, 0, 0, 56, 0, 336, 112, 0, 272, 784, 0, -448, 0, 0, 1008, -448, 0, -16, 0, 0, 0, 224, 0, 560, -408, 0, 0, 396, 0, -120, -752, 0, -504, 176, 0, -224, 0, 0, -896, 672, 0, -448, 0, 0, 0, -408, 0, 760, -64, 0, 0, 576, 0, 560, 752, 0, -140, -672, 0, -168, 0, 0, 192, -480, 0, 224, 0, 0, 0, -448, 0, -64, 488, 0, 0, -1008, 0, 224, -224, 0, -16, 288, 0, 240, 0, 0, -896, -992, 0, 56, 0, 0, 0, 40, 0, -336, 1152, 0, 0, 504, 0, 112, 1392, 0, 448, 0, 0, 448, 0, 0, 80, 640, 0, 0, 0, 0, 0, -672, 0, -224, 260, 0, 0, 72, 0, -132, -1088, 0, -912, -528, 0, 196, 0, 0, 352, 336, 0, 560, 0, 0, 0, 64, 0, 224, -2248, 0, 0, -1488, 0, -1008, 576, 0, -816, 896, 0, 372, 0, 0, 560, 448, 0, -192, 0, 0, 0, 2464, 0, -672, -200, 0, 0, 896, 0, 112, -1312, 0, 1792, -528, 0, -288, 0, 0, -112, 1056, 0, 952, 0, 0, 0, 904, 0, -800, 1332, 0, 0, -448, 0, -1008, -912, 0, 896, -2240, 0, -112, 0, 0, 576, 0, 0, -304, 0, 0, 0, -448, 0, -416, -768, 0, 0, -1416, 0, -448, 1792, 0, 80, 688, 0, 672, 0, 0, 224, 56, 0, 504, 0, 0, 0, 192, 0, -1120, -632, 0, 0, 1296, 0, -1120, 64, 0, -1288, -336, 0, 384, 0, 0, 0, 1440, 0, 672, 0, 0, 0, -224, 0, 168, 344, 0, 0, -560, 0, -24, -624, 0, 660, -448, 0, 1680, 0, 0, -1056, 576, 0, 392, 0, 0, 0, -1096, 0, 112, 776, 0, 0, -1792, 0, 672, -1616, 0, 128, 784, 0, 560, 0, 0, -1232, -1360, 0, 496, 0, 0, 0, 2688, 0, 448, 2240, 0, 0, 588, 0, 436, 2000, 0, -3080, 528, 0, -448, 0, 0, 960, -32, 0, -56, 0, 0, 0, -456, 0, -448, -1408, 0, 0, -912, 0, 896, -96, 0, -56, -3360, 0, 168, 0, 0, -1056, -896, 0, -240, 0, 0, 0, -1568, 0, 96, -1468, 0, 0, -224, 0, -784, 3264, 0, 1808, -144, 0, -1824, 0, 0, 1232, 448, 0, -448, 0, 0, 0, 168, 0, 2240, 1984, 0, 0, 1288, 0, -224, 224, 0, 1344, 2352, 0, 0, 0, 0, -496, 1344, 0, -224, 0, 0, 0, -896, 0, -720, -72, 0, 0, 1152, 0, 472, -1728, 0, -1792, 48, 0, -924, 0, 0, 1376, -3360, 0, -168, 0, 0, 0, 896, 0, -280, -1432, 0, 0, 720, 0, 1232, -3536, 0, 384, 4032, 0, -1344, 0, 0, -1792, -960, 0, -432, 0, 0, 0, -1120, 0, 224, -3004, 0, 0, 1232, 0, 320, -1712, 0, 2632, -16, 0, 864, 0, 0, 2688, 1664, 0, -2856, 0, 0, 0, -224, 0, 1120, 1632, 0, 0, 3080, 0, -560, -320, 0, 120, 0, 0, -1344, 0, 0, -896, 80, 0, -1120, 0, 0, 0, -2016, 0, 704, 2264, 0, 0, -684, 0, 672, 1888, 0, -2192, -96, 0, 280, 0, 0, 2576, -336, 0, -1792, 0, 0, 0, 1016, 0, -672, -1792, 0, 0, -336, 0, 2128, 1120, 0, 0, 1344, 0, -816, 0, 0, -2480, -1568, 0, 448, 0, 0, 0, -2464, 0, 2688, -1728, 0, 0, -1232, 0, -196, 4560, 0, 2860, 96, 0, -3024, 0, 0, 1056, -896, 0, 1120, 0, 0, 0, -576, 0, 160, 4224, 0, 0, -1344, 0, 2016, -4432, 0, -912, -1344, 0, -112, 0, 0, -2688, -448, 0, 304, 0, 0, 0, 1344, 0, -672, 2152, 0, 0, 1224, 0, -112, -112, 0, -2240, -272, 0, 896, 0, 0, -1824, -264, 0, 280, 0, 0, 0, -1984, 0, 1200, -4032, 0, 0, 2256, 0, -224, 0, 0, -3136, 1008, 0, 1512, 0, 0, -288, -1760, 0, 496, 0, 0, 0, 3360, 0, 1344, 112, 0, 0, 1792, 0, 0, 5072, 0, 336, 544, 0, 2688, 0, 0, 2576, -2240, 0, 1288, 0, 0, 0, -936, 0, 896, -2212, 0, 0, -2632, 0, 0, -784, 0, 952, -784, 0, -1344, 0, 0, -896, 4080, 0, 672, 0, 0, 0, -2688, 0, -3344, 4224, 0, 0, 192, 0, -384, 2016, 0, -2360, 448, 0, -168, 0, 0, 96, -384, 0, -1848, 0, 0, 0, 600, 0, -1120, 1216, 0, 0, -2256, 0, -3696, -7232, 0, 1792, -3696, 0, 420, 0, 0, -224, 1344, 0, -240, 0, 0, 0, 1792, 0, 112, -96, 0, 0, -2576, 0, -112, -3120, 0, 4872, 1584, 0, -576, 0, 0, 2160, 2112, 0, 448, 0, 0, 0, 1880, 0, -2240, 2264, 0, 0, 0, 0, 1232, 3584, 0, 2432, 336, 0, 3472, 0, 0, -32, 896, 0, 720, 0, 0, 0, 1792, 0, -1152, -3780, 0, 0, -1464, 0, -896, 2768, 0, -448, -1888, 0, -1988, 0, 0, 784, 6048, 0, 3080, 0, 0, 0, 328, 0, -2240, -5504, 0, 0, 672, 0, -2688, -1360, 0, -4424, -2688, 0, 48, 0, 0, 560, -2880], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 24, 8, -1, 2, 0]], "char_orbit_index": 8, "prim_orbit_index": 8, "minimal_twist": "24.3.h.c", "char_is_minimal": true, "conrey_index": 5, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, -1], [-3, 0, 0, 1], [0, 0, 4, 0], [1, -1, -4, 1], [4, 0, 0, 0], [0, -2, 4, 0], [-5, -4, -2, 0], [-4, 0, 0, -4], [0, 0, -6, 0], [7, 2, 4, 3], [0, 0, 0, 4], [0, 4, 0, 0], [-8, 8, 4, 0], [2, 0, 0, -6], [0, 8, 4, 0], [14, -5, 0, -2], [0, 0, 0, 2], [0, -8, -16, 0], [0, 0, -4, -4], [6, 0, 0, 6], [0, -16, -8, 0], [-10, 10, 12, -2], [7, 0, 0, 0], [0, 4, 16, 0], [0, 0, 19, 1], [-12, 0, 0, 4], [0, 0, -12, 0], [-28, -8, 0, 4], [-4, 0, 0, 0], [0, -4, -24, 0], [12, -12, -6, 0], [-28, 0, 0, 4], [0, 0, 16, 0], [15, 12, -8, -5], [0, 0, 0, -20], [0, 2, 8, 0], [28, 8, 4, 0], [40, 0, 0, 8], [0, 16, 8, 0], [4, -4, -16, 4], [0, 0, 0, -2], [0, 12, 24, 0], [0, 0, -20, 16], [56, 0, 0, -8], [0, 0, 0, 0], [-42, -12, -8, -2], [-33, 0, 0, 0], [0, 7, 0, 0], [0, 0, -28, 8], [-28, 0, 0, -12], [0, 0, 36, 0], [-19, 1, 4, -19], [-48, 0, 0, 0], [0, -8, 16, 0], [14, 4, 2, 0], [12, 0, 0, 12], [0, 0, -34, 0], [24, -24, 16, -8], [0, 0, 0, 36], [0, -4, 0, 0], [-20, -16, -8, 0], [36, 0, 0, 20], [0, -32, -16, 0], [42, 12, 0, -6], [0, 0, 0, -18], [0, -24, 16, 0], [0, 0, 56, -16], [-16, 0, 0, -16], [0, 48, 24, 0], [-28, 10, -20, 20], [-6, 0, 0, 0], [0, -20, -80, 0], [0, 0, -7, -7], [-14, 0, 0, -6], [0, 0, -24, 0], [-28, 28, 0, 4], [124, 0, 0, 0], [0, 48, 32, 0], [-31, 40, 20, 0], [-56, 0, 0, 8], [0, 0, 2, 0], [28, 8, 16, 12], [0, 0, 0, -32], [0, -2, -8, 0], [24, -24, -12, 0], [-60, 0, 0, -12], [0, -56, -28, 0], [20, 16, 64, 20], [0, 0, 0, 16], [0, 48, -32, 0], [0, 0, 4, 4], [0, 0, 0, 0], [0, -16, -8, 0], [44, -44, -8, -4], [118, 0, 0, 0], [0, -33, 0, 0], [0, 0, 30, -24], [-21, 0, 0, 7]]}