# Stored data for newform 230.2.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "230.2.a.c", "space_label": "230.2.a", "level": 230, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295654, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1649053092190098265, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -1, 1]]], "qexp_display": "q+q^{2}+\\beta q^{3}+q^{4}+q^{5}+\\beta q^{6}+(1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 920, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 1.836559246489449, "hecke_ring_index": 1, "level_radical": 230, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [230, 1, [47, 51], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "1.873", "prec": 17}, {"__RealLiteral__": 0, "data": "0.234", "prec": 17}, {"__RealLiteral__": 0, "data": "9.201", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "63.965", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [23, -1]], "trace_display": [2, 1, 2, 1], "traces": [0, 2, 2, 1, 2, 2, 1, 1, 2, -3, 2, 1, 1, -3, 1, 1, 2, 1, -3, -3, 2, -2, 1, 2, 1, 2, -3, -2, 1, -14, 1, 7, 2, -7, 1, 1, -3, 4, -3, -14, 2, -9, -2, 0, 1, -3, 2, 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1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "230.2.a.c", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [1, 0], [0, 1], [1, 0], [1, 0], [0, 1], [1, -1], [1, 0], [-2, 1], [1, 0], [2, -3], [0, 1], [1, -5], [1, -1], [0, 1], [1, 0], [-2, 5], [-2, 1], [-3, 3], [1, 0], [-1, 0], [2, -3], [1, 0], [0, 1], [1, 0], [1, -5], [1, -4], [1, -1], [-6, -2], [0, 1], [1, 5], [1, 0], [-3, -1], [-2, 5], [1, -1], [-2, 1], [0, 4], [-3, 3], [-5, -4], [1, 0], [-8, 7], [-1, 0], [0, 0], [2, -3], [-2, 1], [1, 0], [6, -6], [0, 1], [-5, -1], [1, 0], [5, 3], [1, -5], [-6, 4], [1, -4], [2, -3], [1, -1], [3, 0], [-6, -2], [-8, 6], [0, 1], [2, -7], [1, 5], [-3, 2], [1, 0], [1, -5], [-3, -1], [8, 4], [-2, 5], [0, 1], [1, -1], [4, -5], [-2, 1], [0, 2], [0, 4], [0, 1], [-3, 3], [5, -2], [-5, -4], [8, -4], [1, 0], [2, -6], [-8, 7], [6, -8], [-1, 0], [-2, 5], [0, 0], [-2, -8], [2, -3], [-4, -4], [-2, 1], [6, -1], [1, 0], [5, 6], [6, -6], [-3, 3], [0, 1], [14, -1], [-5, -1], [-7, 5], [1, 0]]}