# Stored data for newform 231.2.i.b, downloaded from the LMFDB on 25 April 2024.
{"label": "231.2.i.b", "space_label": "231.2.i", "level": 231, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504149416739047, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 2205143286066809063, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -1, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(1-\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "i", "char_is_real": false, "Nk2": 924, "analytic_conductor": 1.8445442866915769, "hecke_ring_index": 1, "level_radical": 231, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [231, 3, [155, 199, 211], [3, 2, 3]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 7, 11], "conrey_indexes": [67, 100], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.917", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.490", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "107.752", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 1, -4, -4], "traces": [0, 2, 1, 1, 1, -4, 2, -4, 6, -1, 4, 1, -1, 0, -5, -8, 1, 7, 1, 5, -8, 1, 2, 9, 3, -11, 0, -2, 1, 2, -4, -2, 5, -1, 14, 20, -2, 3, -5, 0, -12, -4, -4, -2, -1, -4, -9, -7, 2, 2, -22, -7, 0, 0, -1, -8, -12, 10, 1, -7, -4, 10, -4, 5, 14, 0, 1, 12, 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"char_is_minimal": true, "conrey_index": 67, "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], [1, -1], [1, -1], [0, -4], [1, 0], [-3, 2], [3, 0], [0, -1], [4, -4], [1, -1], [0, -1], [0, 0], [-2, -1], [-4, 0], [0, 1], [7, -7], [1, -1], [0, 5], [-4, 0], [-1, 3], [1, 0], [0, 9], [3, -3], [-11, 11], [0, 0], [-1, 0], [-1, 3], [1, 0], [0, -4], [-2, 2], [5, -5], [0, -1], [7, 0], [8, 4], [-1, 0], [0, 3], [-5, 5], [0, 0], [0, -12], [-2, 0], [-3, 2], [-1, 0], [0, -1], [-4, 4], [-9, 9], [0, -7], [1, 0], [5, -8], [-11, 0], [0, -7], [0, 0], [0, 0], [0, -1], [-4, 0], [-9, 6], [5, 0], [0, 1], [-7, 7], [-4, 4], [0, 10], [-2, 0], [2, 1], [7, 0], [0, 0], [1, -1], [12, -12], [0, -7], [9, 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