# Stored data for newform 117.2.l.a, downloaded from the LMFDB on 18 April 2024.
{"label": "117.2.l.a", "space_label": "117.2.l", "level": 117, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 755947798645, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 57410029975317309, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 0, 1]]], "qexp_display": "q+(1-2\\zeta_{6})q^{2}+(-1+2\\zeta_{6})q^{3}-q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 117, "char_orbit_label": "l", "char_is_real": false, "Nk2": 468, "analytic_conductor": 0.9342497036489805, "hecke_ring_index": 1, "level_radical": 39, "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": "0.167", "prec": 17}, "analytic_rank_proved": true, "char_values": [117, 6, [92, 28], [2, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3, 13], "conrey_indexes": [4, 88], "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": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.508", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "98.084", "prec": 20}], "related_objects": ["Genus2Curve/Q/13689/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 3, 3], "traces": [0, 2, 0, 0, -2, 3, 6, 3, 0, -6, 3, 0, 0, -2, 3, -3, -10, -3, 0, -3, -3, -3, -12, 3, 6, -2, 12, 0, -3, -12, 9, 15, 0, 12, -9, 3, 6, -9, 3, -12, 3, -21, 9, 1, 0, -9, 9, 9, 0, -4, -6, 9, 2, 12, -18, 6, 3, -3, 0, 0, 3, 5, 15, -9, 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0]], "char_orbit_index": 12, "prim_orbit_index": 12, "minimal_twist": "117.2.l.a", "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], [-1, 2], [-1, 0], [1, 1], [3, 0], [1, 1], [1, -2], [-3, 0], [3, -3], [2, -4], [1, -2], [-3, 4], [3, -3], [-3, 3], [-5, 0], [0, -3], [-3, 6], [-2, 1], [-1, -1], [-3, 3], [-6, 0], [0, 3], [3, 0], [0, -2], [5, 2], [3, -6], [-1, -1], [-6, 0], [3, 3], [5, 5], [-3, 6], [6, 0], [-6, 3], [0, 3], [3, 0], [-3, -3], [0, 3], [-5, -2], [3, -3], [-14, 7], [3, 3], [1, -1], [-2, 4], [-3, -3], [6, -3], [6, -3], [5, -10], [0, -4], [-4, 2], [6, -3], [3, -4], [6, 0], [-9, 0], [6, -6], [3, -3], [0, -3], [-6, 12], [2, 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