# Stored data for newform 72.12.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "72.12.a.c", "space_label": "72.12.a", "level": 72, "weight": 12, "hecke_orbit": 3, "hecke_orbit_code": 9007199456067656, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 55335284236681067, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-3490, 1]]], "qexp_display": "q+3490q^{5}-55464q^{7}+597004q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10368, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 55.3207090002904, "hecke_ring_index": 1, "level_radical": 6, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [72, 1, [55, 37, 65], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.867", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1]], "trace_display": [0, 0, 3490, -55464], "traces": [0, 1, 0, 0, 0, 3490, 0, -55464, 0, 0, 0, 597004, 0, 1373878, 0, 0, 0, -10140850, 0, -7297396, 0, 0, 0, 32057464, 0, -36648025, 0, 0, 0, 13605402, 0, 233160800, 0, 0, 0, -193569360, 0, -257786178, 0, 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