# Stored data for newform 672.4.a.a, downloaded from the LMFDB on 16 April 2024.
{"label": "672.4.a.a", "space_label": "672.4.a", "level": 672, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 67109536, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2239162435033060827, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [18, 1]], [11, [44, 1]]], "qexp_display": "q-3q^{3}-18q^{5}+7q^{7}+9q^{9}-44q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10752, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 39.64928352385769, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [672, 1, [127, 421, 449, 577], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.044", "prec": 17}, {"__RealLiteral__": 0, "data": "1.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "1.939", "prec": 17}, {"__RealLiteral__": 0, "data": "0.139", "prec": 17}, {"__RealLiteral__": 0, "data": "4.718", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1]], "trace_display": [0, -3, -18, 7], "traces": [0, 1, 0, -3, 0, -18, 0, 7, 0, 9, 0, -44, 0, 58, 0, 54, 0, -130, 0, -92, 0, -21, 0, -84, 0, 199, 0, -27, 0, -250, 0, 72, 0, 132, 0, -126, 0, -354, 0, -174, 0, 334, 0, 416, 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