# Stored data for newform 912.2.bo.c, downloaded from the LMFDB on 16 April 2024. {"label": "912.2.bo.c", "space_label": "912.2.bo", "level": 912, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9009948067365776, "dim": 6, "is_polredabs": true, "nf_label": "6.0.19683.1", "trace_hash": 2007499033190351707, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [9, 0, 36, -30, 0, 3, 1]]], "qexp_display": "q+\\zeta_{18}q^{3}+(-1+\\zeta_{18}^{2}+\\zeta_{18}^{3}-2\\zeta_{18}^{4}+\\cdots)q^{5}+\\cdots", "char_order": 9, "char_parity": 1, "char_degree": 6, "char_conductor": 19, "char_orbit_label": "bo", "char_is_real": false, "Nk2": 3648, "analytic_conductor": 7.282356664340771, "hecke_ring_index": 1, "level_radical": 114, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 18, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [912, 9, [799, 229, 305, 97], [9, 9, 9, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 3, 19], "conrey_indexes": [289, 385, 481, 529, 625, 769], "field_disc": -19683, "field_disc_factorization": [[-1, 1], [3, 9]], "field_poly": [1, 0, 0, -1, 0, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.822", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "99.136", "prec": 20}, {"__RealLiteral__": 0, "data": "10.937", "prec": 20}, {"__RealLiteral__": 0, "data": "2935.857", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c9", "trace_display": [0, 0, -3, -3], "traces": [0, 6, 0, 0, 0, -3, 0, -3, 0, 0, 0, -12, 0, -21, 0, 3, 0, 3, 0, -6, 0, -9, 0, 15, 0, 9, 0, 3, 0, 15, 0, -3, 0, 3, 0, 6, 0, 6, 0, 0, 0, -9, 0, 9, 0, 6, 0, 21, 0, 0, 0, -3, 0, 30, 0, 9, 0, -18, 0, -27, 0, -9, 0, -9, 0, -6, 0, 15, 0, 12, 0, -9, 0, 12, 0, -6, 0, 42, 0, -15, 0, 0, 0, 3, 0, -36, 0, -6, 0, -48, 0, 6, 0, -9, 0, 48, 0, 18, 0, -3, 0, 12, 0, 21, 0, 12, 0, -15, 0, -9, 0, -12, 0, -12, 0, -72, 0, -21, 0, 3, 0, -21, 0, 9, 0, 3, 0, 18, 0, -9, 0, 24, 0, 12, 0, -6, 0, 30, 0, -36, 0, 15, 0, 39, 0, -27, 0, -9, 0, -33, 0, -12, 0, -24, 0, -3, 0, 9, 0, -3, 0, 42, 0, 12, 0, 9, 0, -36, 0, 69, 0, 0, 0, -24, 0, -27, 0, 9, 0, -15, 0, 9, 0, -3, 0, 3, 0, 27, 0, -6, 0, 24, 0, 3, 0, 24, 0, -21, 0, 21, 0, 6, 0, 15, 0, -36, 0, -12, 0, -15, 0, 3, 0, 9, 0, -12, 0, -12, 0, -39, 0, 15, 0, 9, 0, 9, 0, 18, 0, 60, 0, 48, 0, 33, 0, 9, 0, 15, 0, 12, 0, -18, 0, 0, 0, -45, 0, -6, 0, -48, 0, 57, 0, -27, 0, 27, 0, 24, 0, 15, 0, -21, 0, -57, 0, -36, 0, -6, 0, -21, 0, -18, 0, 27, 0, -84, 0, -51, 0, 0, 0, -42, 0, -54, 0, -12, 0, -9, 0, 45, 0, -27, 0, 39, 0, 90, 0, 12, 0, 12, 0, 27, 0, -30, 0, -6, 0, -81, 0, -33, 0, 15, 0, -45, 0, -3, 0, 102, 0, -63, 0, 51, 0, 6, 0, -48, 0, 9, 0, -78, 0, 27, 0, -6, 0, -3, 0, 18, 0, 30, 0, 42, 0, 84, 0, 9, 0, 36, 0, -21, 0, -6, 0, 9, 0, 0, 0, -3, 0, 12, 0, 60, 0, -45, 0, 138, 0, -27, 0, 9, 0, 3, 0, -15, 0, 51, 0, -24, 0, 24, 0, -24, 0, -36, 0, 9, 0, -3, 0, -3, 0, 63, 0, 39, 0, -66, 0, 54, 0, 36, 0, -33, 0, 42, 0, -3, 0, -6, 0, -18, 0, -3, 0, -27, 0, 54, 0, -6, 0, -6, 0, 27, 0, -15, 0, 30, 0, -45, 0, 6, 0, -39, 0, 18, 0, 63, 0, -6, 0, -42, 0, 9, 0, 66, 0, 9, 0, 15, 0, -24, 0, 72, 0, -63, 0, -24, 0, -84, 0, -3, 0, -81, 0, 9, 0, 21, 0, -18, 0, -21, 0, -9, 0, -57, 0, -135, 0, -24, 0, 9, 0, -9, 0, 3, 0, -105, 0, -21, 0, 39, 0, 48, 0, 90, 0, -36, 0, -63, 0, -6, 0, 0, 0, -93, 0, 36, 0, 3, 0, 3, 0, -15, 0, 6, 0, 15, 0, -54, 0, 15, 0, -42, 0, -9, 0, -33, 0, 30, 0, 9, 0, 0, 0, 90, 0, -72, 0, 60, 0, -27, 0, -33, 0, -48, 0, 21, 0, 117, 0, -9, 0, -60, 0, 3, 0, -3, 0, 69, 0, 18, 0, 18, 0, -15, 0, 99, 0, -9, 0, -30, 0, 102, 0, 3, 0, 132, 0, 66, 0, 6, 0, -96, 0, -27, 0, -24, 0, -3, 0, -15, 0, 39, 0, 15, 0, -27, 0, -18, 0, -99, 0, -51, 0, -21, 0, 6, 0, -120, 0, -6, 0, -183, 0, 63, 0, 9, 0, -36, 0, 24, 0, 3, 0, -3, 0, -18, 0, 60, 0, 33, 0, 6, 0, -3, 0, 24, 0, 135, 0, -9, 0, 108, 0, 48, 0, 48, 0, 102, 0, -45, 0, -9, 0, -39, 0, -45, 0, -3, 0, -51, 0, -90, 0, 30, 0, 12, 0, 135, 0, -9, 0, 93, 0, 45, 0, 27, 0, -60, 0, 18, 0, 45, 0, 204, 0, 36, 0, -12, 0, -111, 0, -3, 0, 42, 0, -21, 0, 9, 0, -33, 0, -6, 0, 48, 0, 27, 0, -6, 0, -21, 0, 9, 0, 51, 0, -27, 0, 6, 0, -27, 0, -24, 0, 78, 0, -57, 0, -42, 0, -3, 0, 93, 0, 3, 0, -36, 0, -75, 0, 6, 0, 108, 0, -63, 0, -117, 0, -51, 0, 93, 0, 96, 0, -3, 0, 51, 0, -36, 0, -72, 0, 54, 0, 54, 0, 27, 0, -63, 0, -3, 0, 12, 0, 78, 0, -27, 0, 15, 0, -45, 0, 81, 0, 21, 0, -24, 0, -3, 0, -78, 0, -75, 0, 30, 0, -9, 0, -102, 0, -90, 0, -48, 0, -168, 0, -36, 0, -15, 0, 42, 0, -18, 0, 18, 0, -111, 0, -54, 0, 42, 0, -27, 0, 126, 0, -15, 0, -39, 0, 27, 0, 18, 0, 135, 0, -54, 0, -6, 0, 60, 0, 81, 0, -3, 0, -126, 0, -93, 0, -45, 0, 21, 0, -114, 0, -33, 0, 39, 0, -21, 0, -18, 0, -42, 0, 117, 0, 3, 0, 114, 0, -108, 0, -24, 0, 84, 0, -159, 0, -3, 0, -6, 0, -60, 0, -27, 0, 96, 0, 0, 0, 6, 0, -84, 0, -126, 0, -12, 0, 33, 0, 18, 0, 9, 0, -105, 0, 36, 0, 12, 0, 90, 0, 72, 0, 15, 0, 24, 0, 0, 0, -81, 0, -18, 0, -33, 0, 33, 0, -129, 0, 108, 0, 12, 0, 45, 0, 57, 0, 15, 0, 87, 0, -9, 0, -6, 0, -69, 0, -174, 0, -30, 0, 108, 0, 27, 0, -9, 0, 75, 0, 72, 0, 57, 0, 21, 0, 96, 0, 12, 0, -48, 0, 27, 0, -78, 0, 15, 0, 45, 0, 21, 0, -15, 0, -45, 0, -84, 0, 96, 0, 90, 0, 42, 0, -57, 0, -21, 0, 3, 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, 19, 5, 1, 9, 0]], "char_orbit_index": 41, "prim_orbit_index": 5, "minimal_twist": "114.2.i.b", "char_is_minimal": false, "conrey_index": 289, "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, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 1, 1, -2, 0], [0, 0, 0, 0, 0, 0], [-1, -1, -1, 1, 2, 2], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, -4, 0, -1], [0, 0, 0, 0, 0, 0], [-3, -3, 0, -1, 4, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 1, -2], [0, 0, 0, 0, 0, 0], [0, -4, -1, 1, 4, 0], [0, 0, 0, 0, 0, 0], [0, -1, -2, -2, -1, 4], [0, 0, 0, 0, 0, 0], [-2, -1, -1, 1, 1, 2], [0, 0, 0, 0, 0, 0], [2, -3, 0, 1, 1, -4], [0, 0, 0, 0, 0, 0], [4, 4, -1, -5, 1, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [4, -3, -2, -3, 4, 0], [0, 0, 0, 0, 0, 0], [-1, 1, -2, 1, 1, 1], [0, 0, 0, 0, 0, 0], [1, 0, -1, -1, -4, 0], [0, 0, 0, 0, 0, 0], [0, -1, 2, 2, 0, -2], [0, 0, 0, 0, 0, 0], [1, -2, -2, 0, 0, 2], [0, 0, 0, 0, 0, 0], [0, -3, -3, 0, -1, 4], [0, 0, 0, 0, 0, 0], [-3, 3, 0, 3, 0, -3], [0, 0, 0, 0, 0, 0], [3, 0, -3, -3, 1, 0], [0, 0, 0, 0, 0, 0], [2, 0, -1, -2, 1, 1], [0, 0, 0, 0, 0, 0], [4, -1, 5, -1, 4, 0], [0, 0, 0, 0, 0, 0], [0, -2, -5, 0, -5, -2], [0, 0, 0, 0, 0, 0], [0, 0, -4, -1, 1, 4], [0, 0, 0, 0, 0, 0], [4, -6, 0, 2, 2, 1], [0, 0, 0, 0, 0, 0], [2, -6, 1, -1, 6, -2], [0, 0, 0, 0, 0, 0], [-4, 0, -1, 2, -2, -1], [0, 0, 0, 0, 0, 0], [-2, 0, 5, -5, 0, 2], [0, 0, 0, 0, 0, 0], [-3, 0, 0, 3, 3, 1], [0, 0, 0, 0, 0, 0], [-2, -2, -1, 1, 1, 1], [0, 0, 0, 0, 0, 0], [0, -3, 5, -2, 5, -3], [0, 0, 0, 0, 0, 0], [4, -3, 2, -3, 4, 0], [0, 0, 0, 0, 0, 0], [4, 2, -3, -4, 1, 1], [0, 0, 0, 0, 0, 0], [-3, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0], [7, -1, -3, -10, 0, 10], [0, 0, 0, 0, 0, 0], [-1, 4, 4, 0, -5, 1], [0, 0, 0, 0, 0, 0], [7, 10, 10, 0, -4, -6], [0, 0, 0, 0, 0, 0], [-5, 3, 0, 5, 0, -5], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [1, -6, -5, -1, 11, 11], [0, 0, 0, 0, 0, 0], [-7, 2, 9, 2, -7, 0], [0, 0, 0, 0, 0, 0], [0, 4, -3, -2, -3, 4], [0, 0, 0, 0, 0, 0], [-5, -5, -1, -6, 11, 1], [0, 0, 0, 0, 0, 0], [6, 4, 0, -10, -10, -9], [0, 0, 0, 0, 0, 0], [-1, -1, 1, -1, 1, 1], [0, 0, 0, 0, 0, 0], [7, -6, -4, 2, 5, 0], [0, 0, 0, 0, 0, 0], [-1, -4, -8, 8, 4, 1], [0, 0, 0, 0, 0, 0], [0, 1, 0, -1, -1, -4], [0, 0, 0, 0, 0, 0]]}