# Stored data for newform 546.2.l.g, downloaded from the LMFDB on 19 April 2024.
{"label": "546.2.l.g", "space_label": "546.2.l", "level": 546, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27022353712022050, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 935514025720748984, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-2, 1]], [11, [1, -1, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "l", "char_is_real": false, "Nk2": 2184, "analytic_conductor": 4.359831950361909, "hecke_ring_index": 1, "level_radical": 546, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [546, 3, [365, 157, 379], [3, 3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7, 13], "conrey_indexes": [211, 295], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.087", "prec": 17}, {"__RealLiteral__": 0, "data": "11.886", "prec": 20}, {"__RealLiteral__": 0, "data": "1.003", "prec": 17}, {"__RealLiteral__": 0, "data": "105.594", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 1, 4, 1], "traces": [0, 2, 1, 1, -1, 4, -1, 1, -2, -1, 2, 1, -2, 5, 2, 2, -1, 1, -2, -1, -2, 2, -1, 6, -1, -2, -2, -2, 1, -9, -2, 4, 1, -1, 2, 2, -1, 2, -2, -2, -4, -5, 1, 2, -2, -2, -6, -14, 1, -1, -1, 2, -7, -2, -1, 2, -1, -2, 9, -10, -4, 11, 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4, 5, -2, 9, 0, 1, -4, -20, -8, -4, -52, -26, -20, -12, -2, 14, -10, 1, -28, -2, -12, -8, -106, 11, -2, 3, 36, -5, 98, 4, -5, 28, -100, -1, -16, 36, -16, 2, 11, 36, 4, -32, 14, -6, -12, -16, 20, -20, -40, 2, -2, 1, 92, -2, -40, 35, 21, 2, 24, 22, 1, 40, 7, -6, 24, 2, -42, 60, -18, 1, -1, 10, 2, -6, -76, 3, -34, -2, -4, 10, 80, 1, -12, -6, 44, 23, -8, -2, -29, -12, 19, 48, 56, -2, -2, 1, 14, -18, -13, -4, 2, -18, -15, 8, 4, 7, -8, -2, -12, 14, 64, -2, 30, 20, -2, 2, 19, -22, 40, 2, 30, 1, 30, 2, -8, 12, 18, 11, -10, 2, -54, -14, 6, -16, 22, -6, -64, -10, -1, 56, 58, 1, -9, 58, 2, -22, -36, -2, 11, 4, -16, 0, -96, -5, -54, -9, -14, 2, 24, -2, -45, 2, -52, 8, -20, 24, 35, -30, -2, 24], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], "char_orbit_index": 12, "prim_orbit_index": 3, "minimal_twist": "546.2.l.g", "char_is_minimal": true, "conrey_index": 211, "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], [1, -1], [0, -1], [2, 0], [0, -1], [0, 1], [-1, 0], [0, -1], [2, -2], [1, -1], [-1, 0], [4, -3], [1, 0], [2, -2], [-1, 1], [0, 1], [-1, 0], [0, -1], [0, -2], [1, 0], [0, -1], [6, -6], [-1, 1], [-1, 0], [1, -4], [-1, 0], [1, -1], [-9, 9], [0, -2], [2, 0], [0, 1], [0, -1], [1, 0], [0, 2], [-1, 1], [2, -2], [-1, 0], [1, -4], [-2, 0], [-5, 5], [1, -1], [0, 2], [-1, 0], [0, -2], [0, -6], [-7, 0], [0, 1], [-1, 1], [-1, 1], [1, 0], [-3, -1], [-1, 0], [-1, 1], [2, -2], [0, -1], [-1, 0], [0, 9], [0, -10], [-2, 0], [0, 11], [2, -2], [1, -1], [1, 0], [8, -6], [-1, 0], [-2, 2], [1, -1], 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