# Stored data for newform 912.2.bb.h, downloaded from the LMFDB on 18 April 2024.
{"label": "912.2.bb.h", "space_label": "912.2.bb", "level": 912, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31527052851020688, "dim": 8, "is_polredabs": true, "trace_hash": 1365907896401959565, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [324, 648, 1044, 576, 286, 44, 18, 2, 1]], [23, [12996, -2736, -4140, 912, 1378, 228, -26, -6, 1]], [31, [-45, -282, 10, 14, 1]]], "qexp_display": "q+(1+\\beta _{6})q^{3}+(-\\beta _{3}-\\beta _{6}+\\beta _{7})q^{5}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 76, "char_orbit_label": "bb", "char_is_real": false, "Nk2": 3648, "analytic_conductor": 7.282356664340771, "hecke_ring_index": 3, "level_radical": 114, "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": "0.177", "prec": 17}, "analytic_rank_proved": true, "char_values": [912, 6, [799, 229, 305, 97], [3, 6, 6, 5]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 19], "conrey_indexes": [31, 559], "field_disc": 137172455424, "field_disc_factorization": [[2, 12], [3, 4], [643, 2]], "field_poly": [19, 116, 300, 114, -5, -30, 0, -2, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.094", "prec": 17}, {"__RealLiteral__": 0, "data": "7.498", "prec": 17}, {"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "215.092", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9461.285", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 4, -2, 0], "traces": [0, 8, 0, 4, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 6, 0, 6, 0, -12, 0, -8, 0, -12, 0, -28, 0, -6, 0, 18, 0, 0, 0, 0, 0, -12, 0, -18, 0, 4, 0, 12, 0, -24, 0, -4, 0, -6, 0, 12, 0, 6, 0, 10, 0, -4, 0, 6, 0, 0, 0, 6, 0, 0, 0, -8, 0, -8, 0, -24, 0, 28, 0, 14, 0, -4, 0, 0, 0, -8, 0, 0, 0, 54, 0, 26, 0, -14, 0, 38, 0, 60, 0, -6, 0, 0, 0, -28, 0, 18, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 8, 0, -12, 0, -72, 0, -8, 0, -18, 0, 12, 0, 36, 0, 2, 0, -24, 0, 66, 0, 0, 0, 26, 0, 0, 0, -12, 0, -2, 0, -56, 0, -8, 0, 6, 0, -36, 0, 0, 0, -2, 0, 0, 0, 12, 0, 66, 0, 0, 0, 6, 0, 24, 0, -18, 0, -10, 0, 28, 0, 12, 0, -8, 0, 42, 0, 36, 0, 0, 0, 0, 0, -48, 0, -30, 0, -44, 0, 18, 0, 12, 0, -28, 0, -48, 0, -6, 0, 12, 0, -2, 0, 8, 0, 114, 0, 0, 0, 8, 0, 0, 0, -42, 0, -12, 0, -60, 0, 48, 0, 14, 0, -24, 0, 0, 0, -14, 0, 0, 0, 72, 0, 4, 0, 56, 0, 30, 0, 48, 0, 48, 0, -20, 0, -16, 0, 6, 0, -148, 0, 12, 0, -12, 0, 0, 0, 0, 0, 78, 0, -60, 0, 52, 0, -78, 0, -8, 0, 14, 0, -30, 0, -24, 0, -2, 0, 12, 0, -36, 0, 60, 0, 0, 0, 76, 0, 0, 0, -22, 0, -60, 0, 0, 0, 28, 0, 16, 0, -14, 0, 0, 0, 24, 0, 0, 0, -6, 0, 80, 0, -8, 0, 116, 0, 96, 0, 0, 0, -52, 0, -36, 0, 0, 0, -212, 0, -12, 0, 66, 0, 0, 0, 0, 0, -60, 0, -30, 0, 16, 0, 0, 0, 12, 0, -56, 0, -84, 0, -36, 0, 8, 0, 4, 0, -66, 0, 126, 0, 0, 0, 34, 0, 0, 0, -36, 0, 52, 0, -84, 0, -16, 0, 46, 0, 4, 0, 0, 0, 2, 0, 0, 0, 12, 0, 70, 0, 0, 0, 12, 0, -90, 0, 126, 0, -2, 0, 44, 0, 72, 0, -48, 0, 6, 0, 108, 0, 0, 0, 0, 0, -72, 0, -12, 0, -160, 0, -138, 0, 52, 0, -60, 0, -36, 0, -24, 0, 54, 0, -6, 0, 12, 0, 144, 0, 0, 0, 2, 0, 0, 0, -60, 0, -28, 0, -148, 0, -168, 0, -4, 0, -38, 0, 0, 0, -6, 0, 0, 0, -36, 0, 36, 0, 30, 0, 146, 0, 6, 0, -48, 0, 52, 0, -4, 0, 0, 0, -96, 0, -30, 0, 36, 0, 0, 0, 0, 0, 120, 0, -42, 0, 132, 0, -12, 0, 24, 0, 0, 0, 96, 0, 30, 0, 0, 0, -14, 0, -4, 0, 24, 0, 0, 0, 6, 0, 0, 0, -72, 0, -4, 0, -20, 0, 96, 0, 68, 0, 14, 0, 0, 0, 4, 0, 0, 0, 12, 0, 34, 0, -4, 0, 108, 0, 36, 0, 42, 0, 12, 0, 60, 0, 36, 0, -168, 0, -12, 0, -6, 0, 0, 0, 0, 0, -30, 0, -210, 0, 96, 0, -48, 0, -120, 0, -8, 0, -30, 0, -54, 0, 68, 0, -22, 0, -30, 0, 276, 0, 0, 0, 38, 0, 0, 0, 6, 0, 30, 0, -140, 0, -56, 0, -56, 0, -28, 0, 0, 0, 26, 0, 0, 0, -6, 0, 122, 0, -36, 0, 66, 0, -180, 0, -54, 0, 2, 0, 8, 0, 60, 0, 16, 0, 96, 0, 102, 0, 0, 0, 0, 0, -144, 0, 36, 0, -144, 0, 24, 0, 16, 0, -58, 0, -24, 0, 48, 0, -78, 0, -40, 0, 42, 0, 138, 0, 0, 0, 12, 0, 0, 0, -56, 0, -30, 0, -212, 0, 24, 0, 24, 0, 26, 0, 0, 0, -14, 0, 0, 0, -48, 0, 24, 0, 102, 0, 84, 0, 120, 0, 204, 0, -4, 0, -28, 0, -150, 0, -112, 0, -42, 0, 78, 0, 0, 0, 0, 0, 156, 0, -210, 0, 8, 0, -120, 0, -24, 0, -56, 0, 78, 0, -42, 0, -48, 0, 6, 0, 100, 0, 48, 0, 0, 0, 62, 0, 0, 0, -48, 0, -36, 0, -40, 0, 36, 0, -48, 0, -8, 0, 0, 0, 12, 0, 0, 0, -132, 0, 170, 0, -74, 0, 108, 0, -12, 0, 12, 0, 2, 0, -76, 0, -12, 0, -140, 0, 0, 0, -24, 0, 0, 0, 0, 0, -54, 0, 30, 0, 208, 0, 78, 0, 68, 0, -16, 0, -60, 0, 54, 0, 0, 0, 26, 0, -36, 0, 96, 0, 0, 0, 8, 0, 0, 0, -4, 0, 140, 0, -192, 0, 28, 0, 42, 0, 44, 0, 0, 0, 104, 0, 0, 0, -24, 0, -10, 0, -72, 0, -40, 0, -132, 0, 78, 0, -12, 0, -152, 0, -48, 0, -72, 0, 30, 0, -42, 0, 0, 0, 0, 0, 144, 0, -48, 0, -156, 0, -186, 0, 152, 0, 2, 0, 12, 0, 6, 0, -48, 0, 88, 0, 22, 0, 180, 0, 0, 0, 60, 0, 0, 0, 28, 0, 0, 0, 88, 0, -96, 0, 14, 0, 84, 0, 0, 0, -16, 0, 0, 0, -72, 0, 14, 0, 70, 0, 212, 0, 78, 0, -60, 0, -24, 0, 48, 0, -168, 0, -216, 0, -18, 0, 192, 0, 0, 0, 0, 0, 90, 0, 36, 0, 160, 0, 36, 0, 104, 0, 8, 0, 306, 0, -18, 0, 64, 0, -28, 0, 80, 0, 96, 0, 0, 0, -40, 0, 0, 0, -2, 0, -20, 0, -104, 0, 132, 0, 74, 0, -18, 0, 0, 0, -76, 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, 76, 6, 1, 6, 0]], "char_orbit_index": 28, "prim_orbit_index": 6, "minimal_twist": "912.2.bb.g", "char_is_minimal": true, "conrey_index": 31, "id": null, "nf_label": 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, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -1, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, -1, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 1, 1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, -2, 0, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, -2, -1, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, -2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, -2, -1, 1, -1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 0, -1, 3, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 2, 0, -2, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, 0, 1, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, -1, -1, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 2, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, 1, -2, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -2, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 2, 0, -2, 3, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 1, 0, -2, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 3, 0, -3, -2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -2, 0, -5, 4], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -1, -1, -1, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -2, -1, 1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -2, 0, 0, -3, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-4, -2, -1, 2, -1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -2, 1, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -2, 3, 1, 2, 7, -3], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 1, 1, -1, -2, -8, -2], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -2, 0, 4, 0, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [10, 0, -2, -2, 0, 0, 5, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 2, 1, -6, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-4, -1, -2, 1, 1, 2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [7, 1, 1, -2, -2, -2, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [5, -1, 0, 0, -1, 0, -5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]}