# Stored data for newform 91.2.f.b, downloaded from the LMFDB on 23 March 2023.
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"hecke_ring_index_factorization": [[3, 1]], "nf_label": "4.0.144.1", "field_poly": [1, 0, -1, 0, 1], "has_non_self_twist": 1, "char_values": [91, 3, [66, 15], [3, 2]], "Nk2": 364, "field_poly_root_of_unity": 12, "analytic_rank": 0, "char_orbit_label": "f", "weight": 2, "trace_display": [0, -2, 0, -2], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 3, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-\\zeta_{12}^{2}q^{2}+(-\\zeta_{12}-\\zeta_{12}^{2})q^{3}+(-1+\\cdots)q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": 144, "level_is_prime_power": false, "relative_dim": 2, "hecke_cutters": [[2, [9, 0, 3, 0, 1]]], "space_label": "91.2.f", "level": 91, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], "char_degree": 2, "char_conductor": 13, "char_orbit_index": 6, "hecke_ring_generator_nbound": 3, "hecke_orbit_code": 4503943258308699, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.836", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.634", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1429.233", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, 0, -1, 0], [0, -1, -1, 0], [-1, 1, 0, 0], [0, 0, 0, 1], [-3, 3, 1, -1], [-1, 1, 0, 0], [0, 0, 0, -1], [-1, 1, 2, -2], [0, -3, 0, 0], [0, -3, 1, 0], [1, 0, 0, 1], [0, 2, -1, 2], [0, 0, 0, 1], [0, -3, -1, 0], [0, 5, 0, 0], [6, -6, -1, 1], [6, 0, 0, 1], [-2, 2, 0, 0], [0, 0, 1, -1], [1, 0, 0, 1], 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