# Stored data for newform 3024.2.b.g, downloaded from the LMFDB on 24 April 2024.
{"label": "3024.2.b.g", "space_label": "3024.2.b", "level": 3024, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021666517257168, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1603433706231408974, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [3, 0, 1]], [11, [27, 0, 1]], [13, [12, 0, 1]], [17, [12, 0, 1]], [19, [-8, 1]], [29, [6, 1]], [47, [-6, 1]]], "qexp_display": "q+(1-2\\zeta_{6})q^{5}+(-2+3\\zeta_{6})q^{7}+(3+\\cdots)q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 28, "char_orbit_label": "b", "char_is_real": true, "Nk2": 12096, "analytic_conductor": 24.14676157123519, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.514", "prec": 17}, "analytic_rank_proved": true, "char_values": [3024, 2, [1135, 757, 785, 2593], [1, 2, 2, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [1567], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.892", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.079", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "153.568", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, 0, -1], "traces": [0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, -10, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -13, 0, 0, 0, -6, 0, -18, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 30, 0, -12, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 40, 0, 0, 0, -24, 0, 24, 0, 0, 0, 18, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, -8, 0, 0, 0, 12, 0, -16, 0, 0, 0, 36, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -10, 0, 0, 0, 54, 0, 22, 0, 0, 0, 6, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 5, 0, 0, 0, 24, 0, 16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -24, 0, 72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, -8, 0, 0, 0, 36, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, -18, 0, 0, 0, -48, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, -20, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 90, 0, 0, 0, -6, 0, -26, 0, 0, 0, 3, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 9, 0, 0, 0, -6, 0, 48, 0, 0, 0, 12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, -40, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -36, 0, 0, 0, 48, 0, -72, 0, 0, 0, -6, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 18, 0, 0, 0, 36, 0, 32, 0, 0, 0, -36, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -24, 0, 30, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -50, 0, 0, 0, 48, 0, -30, 0, 0, 0, -27, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, -18, 0, 0, 0, -42, 0, -24, 0, 0, 0, 42, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, -78, 0, -80, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 4, 0, 0, 0, -72, 0, 20, 0, 0, 0, 54, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 18, 0, 0, 0, -48, 0, -56, 0, 0, 0, -72, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -144, 0, 2, 0, 0, 0, 0, 0, -45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -48, 0, 0, 0, -78, 0, 64, 0, 0, 0, -45, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, -24, 0, -58, 0, 0, 0, 24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, -42, 0, 4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -36, 0, 0, 0, 24, 0, 80, 0, 0, 0, 12, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, -12, 0, 0, 0, 108, 0, 56, 0, 0, 0, -36, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -60, 0, 14, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -6, 0, 0, 0, 36, 0, 24, 0, 0, 0, 63, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 63, 0, 0, 0, 96, 0, 66, 0, 0, 0, 60, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 24, 0, 16, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 12, 0, 0, 0, -72, 0, -36, 0, 0, 0, -6, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 8, 0, 0, 0, -36, 0, -108, 0, 0, 0, 36, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -48, 0, 2, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -124, 0, 0, 0, -96, 0, 82, 0, 0, 0, 21, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 63, 0, 0, 0, 126, 0, -70, 0, 0, 0, 90, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45, 0, 0, 0, 0, 0, -30, 0, 56, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 40, 0, 0, 0, 192, 0, -76, 0, 0, 0, 36, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 54, 0, 0, 0, -12, 0, -40, 0, 0, 0, -72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 24, 0, -90, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 62, 0, 0, 0, -72, 0, -24, 0, 0, 0, 9, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -26, 0, 0, 0, -54, 0, 34, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -99, 0, 0, 0, 0, 0, 54, 0, -60, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -84, 0, 0, 0, 60, 0, -20, 0, 0, 0, 36, 0, -86, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 18, 0, 0, 0, -60, 0, 48, 0, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 24, 0, 48, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -42, 0, 0, 0, 12, 0, -126, 0, 0, 0, -27, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, -11, 0, 0, 0, -126, 0, -16, 0, 0, 0, 192, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -42, 0, 80, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -20, 0, 0, 0, -60, 0, 112, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, -72, 0, 0, 0, -120, 0, 52, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -48, 0, -72, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 36, 0, 0, 0, 48, 0, -98, 0, 0, 0, -12, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, -8, 0, 0, 0, 54, 0, -94, 0, 0, 0, -6, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 108, 0, 88, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -4, 0, 0, 0, 84, 0, 88, 0, 0, 0, -6, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 54, 0, 0, 0, 60, 0, 84, 0, 0, 0, 84, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 24, 0, -14, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 90, 0, 0, 0, 60, 0, -144, 0, 0, 0, -54, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -144, 0, 0, 0, -12, 0, 90, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 48, 0, 24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 20, 0, 0, 0, -108, 0, 12, 0, 0, 0, 126, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, -48, 0, -60, 0, 0, 0, 48, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 24, 0, 62, 0, 0, 0, 0, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 130, 0, 0, 0, 42, 0, 128, 0, 0, 0, -72, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, -60, 0, -18, 0, 0, 0, 54, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 42, 0, -128, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -146, 0, 0, 0, 0, 0, 256, 0, 0, 0, -24, 0, 84, 0, 0, 0, 6, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 4, 0, 0, 0, 12, 0, 164, 0, 0, 0, -216, 0, 0, 0, 0, 0, 90, 0, 0, 0], "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, 28, 4, 1, 2, 0]], "char_orbit_index": 2, "prim_orbit_index": 4, "minimal_twist": "3024.2.b.g", "char_is_minimal": true, "conrey_index": 1567, "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], [1, 0], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [-2, 3], [0, 0], [0, 0], [0, 0], [3, -6], [0, 0], [-2, 4], [0, 0], [0, 0], [0, 0], [2, -4], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [-4, 8], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 0], [4, 1], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [4, -8], [0, 0], [-2, 4], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [-5, -3], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [-9, 0], [0, 0], [0, 0], [0, 0], [12, 0], [0, 0], [8, -16], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [2, -4], [0, 0], [0, 0], [0, 0], [2, -4], [0, 0], [1, -2], [0, 0], [0, 0], [0, 0], [12, 3], [0, 0], [-2, 4], [0, 0], [0, 0], [0, 0], [15, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [6, -12], [0, 0], [-8, -2], [0, 0], [0, 0], [0, 0], [8, -16], [0, 0], [-5, 10], [0, 0], [0, 0], [0, 0]]}