# Stored data for newform 7600.2.a.bh, downloaded from the LMFDB on 29 March 2024. {"label": "7600.2.a.bh", "space_label": "7600.2.a", "level": 7600, "weight": 2, "hecke_orbit": 34, "hecke_orbit_code": 148618787736788400, "dim": 3, "is_polredabs": true, "nf_label": "3.3.169.1", "trace_hash": 1056569052350893274, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-5, -3, 2, 1]], [7, [-1, 1, 4, 1]], [11, [1, -4, 1, 1]], [13, [103, -36, -3, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{3}+(-1-\\beta _{1})q^{7}+(1+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30400, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 60.686305536173094, "hecke_ring_index": 1, "level_radical": 190, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 169, "field_disc_factorization": [[13, 2]], "field_poly": [-1, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.037", "prec": 17}, {"__RealLiteral__": 0, "data": "2.845", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.076", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "258.183", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [19, 1]], 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