# Stored data for newform 114.2.i.c, downloaded from the LMFDB on 30 March 2023.
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"hecke_ring_index_factorization": [], "nf_label": "6.0.19683.1", "field_poly": [1, 0, 0, -1, 0, 0, 1], "has_non_self_twist": 1, "char_values": [114, 9, [77, 97], [9, 7]], "Nk2": 456, "field_poly_root_of_unity": 18, "analytic_rank": 0, "char_orbit_label": "i", "weight": 2, "trace_display": [0, 0, 3, -3], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-\\zeta_{18}q^{2}-\\zeta_{18}^{4}q^{3}+\\zeta_{18}^{2}q^{4}+(1+\\cdots)q^{5}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": -19683, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [1, 12, 60, -46, 12, -3, 1]]], "space_label": "114.2.i", "level": 114, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 0]], "char_degree": 6, "char_conductor": 19, "char_orbit_index": 9, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 9007749044109426, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.037", "prec": 17}, {"__RealLiteral__": 0, "data": "0.560", "prec": 17}, {"__RealLiteral__": 0, "data": "108.747", "prec": 24}, {"__RealLiteral__": 0, "data": "17.527", "prec": 20}, {"__RealLiteral__": 0, "data": "2992.986", "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, 0, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 1, 0, 0, 0], [1, -2, 1, -1, 2, -1], [0, 0, 0, 0, 0, 1], [-1, 2, 1, 1, -3, -3], [0, 0, 0, -1, 0, 0], [0, 0, -1, 0, 0, 1], [-1, -1, 2, 0, 1, -2], [0, 2, -3, 0, -3, 2], [1, 0, 0, -1, 0, 0], [1, -2, 0, 1, 1, -2], [-3, 1, -2, 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