# Stored data for newform 4598.2.a.cd, downloaded from the LMFDB on 24 April 2024.
{"label": "4598.2.a.cd", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 56, "hecke_orbit_code": 247697979538936310, "dim": 10, "is_polredabs": true, "trace_hash": 475778943559334408, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [44, -392, 176, 512, -270, -220, 118, 36, -19, -2, 1]], [5, [349, 1191, 591, -1062, -635, 369, 191, -56, -23, 3, 1]], [7, [-59, 351, -329, -856, 809, 307, -449, 88, 27, -11, 1]], [13, [1984, 1216, -6912, -576, 6152, -1480, -940, 356, -1, -11, 1]]], "qexp_display": "q+q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{3}q^{5}+\\beta _{1}q^{6}+\\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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [4598, 1, [3269, 3631], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 4128916275200000, "field_disc_factorization": [[2, 18], [5, 5], [5040181, 1]], "field_poly": [44, -392, 176, 512, -270, -220, 118, 36, -19, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.067", "prec": 17}, {"__RealLiteral__": 0, "data": "8.816", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "238.261", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11126.695", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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