# Stored data for newform 91.2.k.a, downloaded from the LMFDB on 25 April 2024.
{"label": "91.2.k.a", "space_label": "91.2.k", "level": 91, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 687228321883, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 507184200949810212, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 0, 1]]], "qexp_display": "q+(1-2\\zeta_{6})q^{2}+\\zeta_{6}q^{3}-q^{4}+(2-\\zeta_{6})q^{5}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 91, "char_orbit_label": "k", "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": "0.174", "prec": 17}, "analytic_rank_proved": true, "char_values": [91, 6, [66, 15], [4, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [7, 13], "conrey_indexes": [4, 23], "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": "2.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.432", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "104.022", "prec": 24}], "related_objects": ["Genus2Curve/Q/8281/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 1, 3, -4], "traces": [0, 2, 0, 1, -2, 3, 3, -4, 0, 2, -3, -9, -1, -2, 6, 3, -10, 12, -6, -3, -3, -5, 9, 0, 3, -2, 12, 10, 4, -3, 3, -3, 0, -9, 0, -3, -2, 0, -3, -7, -3, -9, -3, -11, 9, 0, 0, 15, -5, 2, 6, 6, 2, 9, 0, -9, 6, 0, 9, 0, -3, -7, -3, 2, 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"char_is_minimal": true, "conrey_index": 4, "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], [1, -2], [0, 1], [-1, 0], [2, -1], [2, -1], [-3, 2], [1, -2], [2, -2], [0, -3], [-6, 3], [0, -1], [-3, 4], [1, 4], [1, 1], [-5, 0], [6, 0], [-2, -2], [-1, -1], [-2, 1], [-2, -1], [0, 9], [0, 0], [2, -1], [-2, 2], [5, 2], [5, 0], [3, -2], [-3, 3], [3, -3], [-1, -1], [-3, 6], [-3, -3], [6, -12], [-4, 5], [-2, 2], [0, 0], [-3, 3], [-4, 1], [0, -3], [-3, -3], [-4, 5], [0, -11], [6, -3], [2, -4], [0, 0], [10, -5], [0, -5], [5, -8], [2, 2], [0, 6], [3, -4], [9, -9], [5, -10], [-9, 9], [1, 4], [1, -2], [3, 3], [-2, 4], [-1, -1], [-7, 7], [-3, 3], [-2, 6], [-1, 0], [-2, 7], [-9, 9], [10, -5], [-6, 0], [0, 0], [6, 3], [2, -1], [-2, -2], [5, 5], [0, 0], [-2, 0], [1, 1], [12, -15], [-2, 7], [0, 5], [-10, 5], [0, -1], [-9, 9], [2, -4], [2, 1], [12, -6], [-22, 11], [-3, 0], [0, 9], [4, -8], [-6, 0], [1, -10], [0, 0], [1, -2], [0, -15], [-3, 0], [-6, 3], [-6, 3], [-11, -2], [-6, 12], [2, -2]]}