# Stored data for newform 31.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "31.2.a.a", "space_label": "31.2.a", "level": 31, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554463, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1527705443971435305, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+\\beta q^{2}-2\\beta q^{3}+(-1+\\beta )q^{4}+q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 124, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 0.24753624626596918, "hecke_ring_index": 1, "level_radical": 31, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [31, 1, [3], [1]], 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"has_non_self_twist": 0, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "31.2.a.a", "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], [0, -2], [-1, 1], [1, 0], [-2, -2], [-3, 2], [1, -2], [1, 4], [0, 1], [2, 0], [-2, 0], [0, -2], [2, -1], [0, -2], [0, -3], [4, -2], [4, 5], [1, -2], [-1, 1], [-4, 2], [0, 2], [-4, 6], [4, 2], [-4, 0], [-2, -2], [-8, -4], [5, -3], [6, -2], [-2, -2], [1, 0], [-5, 1], [0, -4], [-2, 2], [-3, 2], [3, 1], [-2, 0], [-2, -1], [4, 4], [1, -2], [7, 0], [2, -2], [-2, 2], [-2, 2], [1, 4], [6, 2], [-4, 4], [6, 6], [6, -8], [0, 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