# Stored data for newform 4598.2.a.bx, downloaded from the LMFDB on 24 April 2024.
{"label": "4598.2.a.bx", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 50, "hecke_orbit_code": 220676381774713334, "dim": 8, "is_polredabs": true, "trace_hash": 2090184154898438010, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-44, 332, -332, -108, 154, 8, -22, 0, 1]], [5, [209, 224, -256, -152, 107, 32, -18, -2, 1]], [7, [1189, 4152, 4018, 902, -501, -246, -12, 8, 1]], [13, [-33344, 46080, 34048, -608, -3496, -472, 68, 18, 1]]], "qexp_display": "q-q^{2}+(\\beta _{2}+\\beta _{4}-\\beta _{6})q^{3}+q^{4}-\\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": "0.010", "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": 39116960000, "field_disc_factorization": [[2, 8], [5, 4], [244481, 1]], "field_poly": [-4, 20, -16, -32, 26, 16, -10, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.353", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "161.587", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5770.654", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": 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