# Stored data for newform 91.2.g.a, downloaded from the LMFDB on 19 April 2024.
{"label": "91.2.g.a", "space_label": "91.2.g", "level": 91, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 412350414939, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 322219031261393828, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}-3q^{3}+(1-\\zeta_{6})q^{4}+(-3+\\cdots)q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 91, "char_orbit_label": "g", "char_is_real": false, "Nk2": 364, "analytic_conductor": 0.7266386583936515, "hecke_ring_index": 1, "level_radical": 91, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [91, 3, [66, 15], [1, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [7, 13], "conrey_indexes": [9, 81], "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": "1.998", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.209", "prec": 20}, {"__RealLiteral__": 0, "data": "0.649", "prec": 17}, {"__RealLiteral__": 0, "data": "110.132", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, -6, -3, -5], "traces": [0, 2, -1, -6, 1, -3, 3, -5, -6, 12, 6, -6, -3, -2, 4, 9, 1, 2, -6, -2, 3, 15, 3, 0, 18, -4, -5, -18, -1, -7, -18, -3, -5, 18, -4, 3, 6, -2, 1, 6, 9, -3, -12, 7, -3, -18, 0, -1, -3, 11, -4, -6, -7, -3, 9, 9, 15, 6, 14, 4, -9, -26, -3, -30, 14, 21, 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"level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 7, 1, 3, 0]], "char_orbit_index": 7, "prim_orbit_index": 7, "minimal_twist": "91.2.g.a", "char_is_minimal": true, "conrey_index": 9, "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, -1], [-3, 0], [1, -1], [-3, 3], [0, 3], [-3, 1], [-3, 0], [6, 0], [3, 0], [-3, 0], [-3, 3], [1, -4], [1, 2], [9, -9], [0, 1], [2, -2], [0, -6], [-1, 0], [0, 3], [9, -3], [0, 3], [0, 0], [9, 0], [0, -4], [-4, 3], [-9, 0], [-2, 3], [-7, 7], [-9, 0], [0, -3], [-5, 5], [9, 0], [-2, 0], [6, -9], [6, -6], [0, -2], [0, 1], [-3, 12], [9, -9], [-3, 3], [-3, -6], [0, 7], [-3, 3], [-18, 18], [0, 0], [-1, 1], [0, -3], [8, -5], 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