# Stored data for newform 225.12.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "225.12.a.b", "space_label": "225.12.a", "level": 225, "weight": 12, "hecke_orbit": 2, "hecke_orbit_code": 4503599828697313, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1496664666910403007, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [24, 1]], [7, [-16744, 1]]], "qexp_display": "q-24q^{2}-1472q^{4}+16744q^{7}+84480q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32400, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 172.8772156259075, "hecke_ring_index": 1, "level_radical": 15, "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": [225, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5], "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": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.917", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.684", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [-24, 0, 0, 16744], "traces": [0, 1, -24, 0, -1472, 0, 0, 16744, 84480, 0, 0, -534612, 0, 577738, -401856, 0, 987136, -6905934, 0, 10661420, 0, 0, 12830688, 18643272, 0, 0, -13865712, 0, -24647168, 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