# Stored data for newform 546.2.l.c, downloaded from the LMFDB on 24 April 2024. {"label": "546.2.l.c", "space_label": "546.2.l", "level": 546, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007955202540066, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 584727261655096615, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [2, 1]], [11, [9, 3, 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": "0.011", "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": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "1.816", "prec": 17}, {"__RealLiteral__": 0, "data": "0.124", "prec": 17}, {"__RealLiteral__": 0, "data": "9.188", "prec": 17}, {"__RealLiteral__": 0, "data": "0.789", "prec": 17}, {"__RealLiteral__": 0, "data": "73.865", "prec": 20}], "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, -3, 2, 7, 2, 2, -1, 7, -2, 5, 2, -2, 3, -6, 1, -2, 2, 2, 1, -5, -2, -4, 1, -3, 14, -2, -1, 2, 10, -2, 4, 5, -1, -2, 6, 2, 6, -2, -1, -1, -1, -14, -5, 6, 1, 6, -1, -10, 5, 6, -4, -7, -2, 1, 2, -14, -6, -2, 7, -6, -4, -8, 1, 24, -2, 1, 5, -6, 5, 6, 2, -1, -5, -16, 1, -14, -4, -5, 3, 11, 4, 5, 12, 2, -1, -10, -2, 2, 1, 6, 1, -14, -7, 20, -7, 4, 3, -15, -1, -32, -6, 2, -2, -6, -5, 12, 10, -5, 12, -7, -2, 2, -14, 5, 2, 24, -1, 12, 1, 4, -4, 16, -3, -5, 2, -4, -7, -18, -12, 19, -2, 1, -16, -6, 2, 10, 12, -1, -4, -14, -1, 26, -5, 7, -3, 8, 7, -36, 3, -3, -2, -12, 1, 14, -10, 6, -8, 0, 2, 23, -28, 5, -2, -12, -10, -1, -3, -12, -11, -20, 2, -18, 7, 14, 6, -4, -2, -42, 1, 1, -20, 4, -1, -13, 4, 4, 2, 9, 3, 26, 2, -2, 14, -10, 7, -10, 10, 12, -2, -30, 2, 10, -3, 16, 15, 4, -2, -2, -16, -12, -12, 35, 4, 4, -1, 1, -12, -14, 5, 54, -12, 3, 5, 52, -7, 4, 6, -3, 7, 24, 2, -28, 4, -1, -7, 2, 10, 25, 4, 8, 12, 12, -2, -18, -12, 28, -1, 15, 2, 4, 10, 10, 8, 24, 3, -12, 5, 11, 4, 24, -2, -2, -14, -7, -36, 3, -6, -6, 38, 2, 2, 32, -1, -28, -8, 20, 15, 10, 1, -32, -10, -4, -12, -12, -2, -12, -2, -3, -28, -12, -2, 2, 13, -14, -10, 14, -7, 18, 3, -10, 4, 46, 2, 56, -18, -2, -3, 60, 3, -15, -4, -15, -6, -35, 2, -7, 28, 16, -5, -1, 12, -22, 8, -4, 0, 4, 1, -34, 1, 12, -14, 6, -5, -2, 2, 12, -24, -17, -5, 18, -2, 7, -6, -14, -6, 16, -22, -7, 20, 36, -2, -6, -9, -4, 2, -48, 7, 10, -6, -10, 4, 3, -4, -4, -21, -12, 2, -10, 2, 20, -10, 12, 8, -31, 1, 12, 13, -2, 2, 12, -10, -84, 1, -8, -9, -12, -3, 15, 52, -5, 1, -18, -4, -14, 28, 2, -5, 6, 14, 0, 10, 36, -10, -6, 6, 32, 5, -38, -15, -4, -2, -44, -10, 1, -6, -7, 8, 7, 30, -15, 8, 8, -1, -26, -4, 10, 16, -60, 12, -4, -6, 2, 49, 30, 2, -22, -4, 28, 1, 38, 2, 15, -6, -13, -28, -10, 10, -26, 27, 7, -24, -8, -3, -62, -5, -4, 26, -24, -2, -4, 2, 18, -6, 12, 3, -5, 14, -3, 12, -21, 4, 4, -56, 6, 2, -4, -2, -35, 7, -28, -2, 8, 5, -70, 35, -12, 2, 8, -8, 28, -12, 0, 24, -24, -1, 28, -36, -1, -24, 40, 14, 12, -2, 5, -15, -40, -2, 3, 2, 24, 14, 42, 5, -39, -8, 2, -24, -14, 6, -13, -6, 6, 10, 10, 22, 30, 2, -20, 48, -3, 2, 40, 2, 9, -7, 64, -2, -64, -18, -7, -3, -50, 6, 3, -12, -4, 19, 15, 4, -10, 4, 21, 16, -30, -2, 12, 28, -2, 8, 44, 10, -24, 21, -8, 5, 6, -1, 40, 32, -13, -20, -8, -2, -9, -24, 10, -24, -10, -1, -10, -24, 9, 2, -26, 3, 14, -14, -52, 30, -52, -1, -38, -2, 4, -13, -4, -28, 30, -5, 5, 28, -7, -14, 28, 9, -10, 6, 20, 10, 82, -4, -6, 23, 22, -5, -38, 28, 15, 18, 28, 2, -15, -6, 10, 30, -24, 6, -2, -30, -8, -2, -18, -30, 49, 6, -8, 35, -1, 1, -36, -2, 4, 14, -27, -16, -32, 5, -12, -2, 27, 6, 14, -44, -49, 16, 10, -2, -30, 0, 4, -4, 42, -1, -23, -17, -2, -22, 0, 6, -2, 14, 28, -6, -36, -10, 36, -1, -27, 4, 21, 24, -40, -12, 3, -34, -38, 5, 70, -18, -26, -1, 26, 2, 20, -3, -2, 14, -28, 6, 28, 32, -3, -11, 12, -14, 12, 40, -12, 18, 15, -4, 10, 6, 56, 9, 5, -2, 0, -5, 2, -24, 14, -7, -14, -10, 2, -12, -6, -5, 14, 8, -35, 6, 6, -2, 28, -8, 8, 21, -30, 12, 33, 1, -24, 25, -52, 1, -32, -20, 36, 10, 18, 24, -16, 4, -14, -62, 30, 2, -46, 6, 15, 26, 10, 2, 4, -2, -2, 6, 50, -14, 48, -42, -5, -1, 72, 8, -25, -18, 24, -6, 6, -6, -35, 30, 6, 26, -56, -10, -7, -1, -22, 18, -36, -2, 24, -4, -48, 14, -52, -2, -8, 5, -2, 12, -28, 7, 10, 0, 2, 20, -15, 18, 48, -20, 3, 6, -16, -6, 7, 16, 12, 7, -14, -19, 0, 15, -4, 4, 24, -4, 4, -22, -16, -20, -46, 2, -2, -3, -28, -14, 12, -8, 82, -7, -10, 15, 12, -21, 70, 4, -5, -8, 68, 1, 24, -52, -32, -2, -9, 20, -4, 32, 2, -30, 12, 24, -40, 4, 24, 6, 26, 1, -28, 14, 24, 15, -37, -2, 24, 22, -3, -8, -5, 14, 40, 2, -30, 76, 10, 1, 21, 30, 2, 6, 36, 13, 38, -14, 28, -14, -104, 5, 24, 26, -28, -27, 8, 14, 11, -12, -9, -16, -40, -6, -2, -31, -10, -10, 13, 4, -10, -26, -23, -12, 84, 5, 104, -2, -28, -2, 0, -18, 30, -12, -2, 6, 31, 6, 84, -10, -30, 7, 14, -6, -8, -12, 30, 21, 18, 2, -54, -10, 30, -28, 26, -6, 64, -2, -35, -8, -22, -1, -19, -70, 2, 14, -8, -14, 33, -4, 16, -8, -64, -5, -18, -35, 2, 10, 24, -6, 3, -2, 44, -8, -52, -16, -7, 14, 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.c", "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], [-3, 3], [1, 0], [4, -1], [1, 0], [2, -2], [-1, 1], [0, 7], [-1, 0], [0, 5], [0, 2], [-1, 0], [0, 3], [-6, 6], [1, -1], [-1, 0], [3, -4], [1, 0], [1, -1], [-5, 5], [0, -2], [-2, 0], [0, 1], [0, -3], [7, 0], [0, -2], [-1, 1], [2, -2], [5, 0], [-3, 4], [2, 0], [5, -5], [-1, 1], [0, -2], [3, 0], [0, 2], [0, 6], [-1, 0], [0, -1], [-1, 1], [-1, 1], [-7, 0], [-1, -3], [3, 0], [1, -1], [6, -6], [0, -1], [-5, 0], [0, 5], [0, 6], [-2, 0], [0, -7], [-2, 2], [1, -1], [1, 0], [-8, 2], [-3, 0], [-2, 2], [7, -7], [0, -6], [-2, 0], [0, -8], [0, 1], [12, 0], [0, -2], [1, -1], [5, -5], [-3, 0], [1, 3], [3, 0], [2, -2], [-1, 1], [0, -5], [-8, 0], [0, 1], [0, -14], [-2, 0], [0, -5], [3, -3], [11, -11], [2, 0], [1, 3], [6, 0], [2, -2], [-1, 1], [0, -10], [-1, 0], [0, 2], [0, 1], [3, 0], [0, 1]]}