# Stored data for newform 99.2.e.a, downloaded from the LMFDB on 07 May 2024.
{"label": "99.2.e.a", "space_label": "99.2.e", "level": 99, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461475, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 879388125552138289, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1, 1]]], "qexp_display": "q+(-1+\\zeta_{6})q^{2}+(-2+\\zeta_{6})q^{3}+\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "e", "char_is_real": false, "Nk2": 396, "analytic_conductor": 0.7905189800106758, "hecke_ring_index": 1, "level_radical": 33, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [99, 3, [56, 46], [2, 3]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 11], "conrey_indexes": [34, 67], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "2.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.268", "prec": 17}, {"__RealLiteral__": 0, "data": "12.021", "prec": 20}, {"__RealLiteral__": 0, "data": "2.914", "prec": 17}, {"__RealLiteral__": 0, "data": "107.132", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, -3, -1, -4], "traces": [0, 2, -1, -3, 1, -1, 0, -4, -6, 3, 2, -1, -3, 2, -4, 3, 1, 8, 3, 12, 1, 0, -1, 4, 9, 4, -4, 0, -8, -6, -3, -7, -5, 0, -4, 8, 6, 6, -6, -6, 3, 2, 12, -6, -2, -6, -8, 7, 0, -9, 4, -12, -2, -18, -9, 2, 12, -18, -6, 7, 0, 0, 14, 12, 14, 2, 3, -11, 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"char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "99.2.e.a", "char_is_minimal": true, "conrey_index": 34, "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, 1], [-2, 1], [0, 1], [0, -1], [1, -2], [-4, 4], [-3, 0], [3, -3], [1, 0], [-1, 1], [-1, -1], [0, 2], [0, -4], [1, 1], [1, -1], [4, 0], [0, 3], [6, 0], [1, -1], [4, -8], [0, -1], [0, 4], [6, -3], [4, -4], [-2, 0], [-3, 6], [-4, 0], [-6, 6], [-2, 1], [0, -7], [0, -5], [1, -2], [-4, 4], [4, 0], [3, 0], [3, 0], [-6, 6], [-2, -2], [0, 3], [0, 2], [4, 4], [-6, 6], [-1, 0], [-3, 0], [-4, 0], [7, -7], [-1, 2], [0, -9], [0, 4], [-8, 4], [-2, 2], [-9, 0], [-3, -3], [1, 0], [12, -12], [-12, 6], [0, -6], [0, 7], [-1, 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