# Stored data for newform 546.2.q.b, downloaded from the LMFDB on 18 August 2022.
{"level_primes": [2, 3, 7, 13], "is_polredabs": true, "sato_tate_group": "1.2.3.c6", "rm_discs": [], "conrey_indexes": [251, 335], "cm_discs": [], "trace_hash": 236384957468160732, "level_radical": 546, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 21, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 4.359831950361909, "inner_twist_count": 2, "field_disc_factorization": [[-1, 1], [3, 1]], "is_rm": false, "char_order": 6, "level_is_square": false, "weight_parity": 1, "label": "546.2.q.b", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "546.2.q.a", "field_poly_is_cyclotomic": true, "dim": 2, "trace_zratio": {"__RealLiteral__": 0, "data": "0.177", "prec": 17}, "traces": [0, 2, -1, 3, -1, 0, -3, 5, 2, 3, -6, 3, 0, 7, -4, -6, -1, 3, -6, -7, 6, 6, 3, -12, 3, -14, -2, 0, -1, 3, -6, -8, -1, 9, -6, -6, 3, -12, 14, 12, 0, 9, -9, 8, -6, -18, 12, 0, -3, 11, 7, 0, -5, 0, -9, 18, 5, 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-12, 0, 96, 8, 0, 0, -84, 54, -56, 3, 24, 0, 84, -9, 56, 8, 24, 36, -3, 36, 16, 0, -63, 18, -24, -36, 27, -48, 0, 7, -6, 9, -60, 21, 0, 12, 54, -24, -26, 42, -36, -44, 42, 0, 2, 15, 6, 42, 48, -18, -70, -9, 126, 9, -36, 9, 0, 48, 9, -18, 48, 9, 0, 0, 24, 4, -33, 0, 0, 0, -6, -84, 12, 0, 42, 6, 24, -18, -30, -33, 4, 6, 0, -51, -27, -12, 32, -30, 27, 32, -105, -18, -84, -4, -60, -72, -12, -21, 45, 0, -24, 24, 12, 15, 10, 18, 0, -54, 0, 21, -72, 12, 0, 13, -30, 0, -29, 24, -21, 0, -30, -18, 84, 63, -18, 0, 51, 24, 14, -12, 9, 6, 0, 15, 0, 0, 36, -30, 0, -24, -36, 0, -90, -24, -3, 0, -28, -98, -54, 3, 66, 0, 0, 12, 18, 57, -12, -6, -30, 36, 0, 10, 42, 60, 0, 2, 63, 0, 0, 27, -27, 0, -84, 0, -18, -42, 45, 48, -18, 18, 0, 9, -162, -9, 60, -14, 0, -54, 17, 4, 0, 30, -36, -48, -39, -72, 36, 0], "hecke_ring_index_factorization": [], "nf_label": "2.0.3.1", "field_poly": [1, -1, 1], "has_non_self_twist": 1, "char_values": [546, 6, [365, 157, 379], [3, 3, 1]], "Nk2": 2184, "field_poly_root_of_unity": 6, "analytic_rank": 0, "char_orbit_label": "q", "weight": 2, "trace_display": [-1, 3, 0, 5], "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+(-1+\\zeta_{6})q^{2}+(1+\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": -3, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [12, 0, 1]], [11, [9, -3, 1]], [17, [9, -3, 1]]], "space_label": "546.2.q", "level": 546, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 273, 21, 1, 6, 0]], "char_degree": 2, "char_conductor": 273, "char_orbit_index": 17, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 4504699172553250, "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.164", "prec": 17}, {"__RealLiteral__": 0, "data": "11.890", "prec": 20}, {"__RealLiteral__": 0, "data": "0.947", "prec": 17}, {"__RealLiteral__": 0, "data": "99.381", "prec": 20}], "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], [1, 0], [-1, 1], [1, 1], [0, -1], [-2, 4], [-2, 1], [2, 1], [1, 0], [0, 3], [-2, -2], [3, -3], [1, -2], [4, -1], [-3, 2], [-6, 6], [-1, 1], [0, 3], [-3, 0], [0, -7], [4, -2], [1, 4], [0, 3], [-4, -4], [1, 1], [-7, 0], [-3, 4], [-3, 6], [1, -3], [1, 1], [0, -6], [-4, 0], [0, -1], [6, -3], [-3, 0], [-8, 10], [3, -3], [-4, -4], [7, 0], [5, 2], [-2, 4], [3, 3], [-5, 1], [0, 8], [-3, 0], [-12, 6], [8, -4], [5, -10], [-2, 1], [3, 5], [7, -7], [-3, 6], [-1, -3], [5, -10], [-3, -3], [6, 6], [2, 1], [7, -14], [-2, 1], [-12, 6], [6, 0], [6, -3], [4, -4], [-3, 9], [1, 0], [-4, 14], [-3, 6], [0, 0], [3, -3], [0, -12], [-2, -8], [0, -6], [0, 3], [-4, 0], [8, -4], [-7, -7], [-7, 7], [9, -6], [-7, 5], [-11, 0], [-2, -2], [-9, 9], [-6, 3], [8, -16], [4, -5], [-12, 6], [-8, 0], [0, 3], [3, -3], [5, 5], [6, -12], [9, 1], [-4, 8], [-4, -4], [5, 5], [28, -14], [1, -2], [0, 2], [-8, 3], [9, 0], [0, 7]]}