# Stored data for newform 325.4.a.f, downloaded from the LMFDB on 24 April 2024.
{"label": "325.4.a.f", "space_label": "325.4.a", "level": 325, "weight": 4, "hecke_orbit": 6, "hecke_orbit_code": 22517998203961669, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 225638636370297148, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, 1, 1]], [3, [-32, 5, 1]]], "qexp_display": "q-\\beta q^{2}+(-4+3\\beta )q^{3}+(-4+\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5200, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 19.1756207518657, "hecke_ring_index": 1, "level_radical": 65, "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": [325, 1, [27, 301], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "9.342", "prec": 17}, {"__RealLiteral__": 0, "data": "1.069", "prec": 17}, {"__RealLiteral__": 0, "data": "63.167", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [13, -1]], "trace_display": [-1, -5, 0, 9], "traces": [0, 2, -1, -5, -7, 0, -23, 9, 3, 35, 0, 80, 43, 26, 89, 0, -39, -19, 110, -84, 0, -303, -142, -196, 273, 0, -13, -335, -125, -44, 0, -86, 123, 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