# Stored data for newform 4598.2.a.bu, downloaded from the LMFDB on 20 April 2024.
{"label": "4598.2.a.bu", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 47, "hecke_orbit_code": 207165582892601846, "dim": 4, "is_polredabs": true, "nf_label": "4.4.33452.1", "trace_hash": 2179517984467009291, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 7, -8, -1, 1]], [5, [-4, 36, -13, -3, 1]], [7, [-7, -19, -10, 1, 1]], [13, [-13, -15, 14, 9, 1]]], "qexp_display": "q+q^{2}+\\beta _{1}q^{3}+q^{4}+(1+\\beta _{2}+\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18392, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 36.71521484938472, "hecke_ring_index": 1, "level_radical": 418, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [4598, 1, [3269, 3631], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 33452, "field_disc_factorization": [[2, 2], [8363, 1]], "field_poly": [-1, 7, -8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.071", "prec": 17}, {"__RealLiteral__": 0, "data": "3.848", "prec": 17}, {"__RealLiteral__": 0, "data": "0.198", "prec": 17}, {"__RealLiteral__": 0, "data": "41.772", "prec": 20}, {"__RealLiteral__": 0, "data": "7.889", "prec": 17}, {"__RealLiteral__": 0, "data": "710.083", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, 1], [19, 1]], "trace_display": [4, 1, 3, -1], "traces": [0, 4, 4, 1, 4, 3, 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