# Stored data for newform 231.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "231.2.a.c", "space_label": "231.2.a", "level": 231, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295655, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1537894001764582718, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -1, 1]]], "qexp_display": "q+\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}+q^{5}+\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 924, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 1.8445442866915769, "hecke_ring_index": 1, "level_radical": 231, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [231, 1, [155, 199, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 11], "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.878", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.800", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.773", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [11, -1]], "trace_display": [1, 2, 2, 2], "traces": [0, 2, 1, 2, -1, 2, 1, 2, 0, 2, 1, 2, -1, -2, 1, 2, -3, 6, 1, 0, -1, 2, 1, -2, 0, -8, -11, 2, -1, 10, 1, -6, -9, 2, -2, 2, -1, -14, 15, -2, 0, 4, 1, -2, 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1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "231.2.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], [0, 1], [1, 0], [-1, 1], [1, 0], [0, 1], [1, 0], [1, -2], [1, 0], [0, 1], [1, 0], [-1, 1], [1, -4], [0, 1], [1, 0], [0, -3], [4, -2], [0, 1], [-3, 6], [-1, 1], [1, 0], [0, 1], [2, -6], [1, -2], [-4, 0], [-4, -3], [1, 0], [-1, 1], [5, 0], [0, 1], [-4, 2], [-5, 1], [1, 0], [-2, 2], [1, 0], [-1, 1], [-7, 0], [6, 3], [1, -4], [1, -2], [0, 4], [0, 1], [2, -6], [-1, 1], [1, 0], [-6, -4], [-1, -2], [0, -3], [1, 0], [0, -4], [4, -2], [-5, 1], [-6, 10], [0, 1], [1, 0], [1, -2], [-3, 6], [0, 5], [-5, 10], [-1, 1], [2, 0], [2, -2], [1, 0], [1, 2], [1, -4], [0, 1], [-11, -2], [-6, 4], [2, 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