# Stored data for newform 4730.2.a.bd, downloaded from the LMFDB on 19 April 2024.
{"label": "4730.2.a.bd", "space_label": "4730.2.a", "level": 4730, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227303546, "dim": 11, "is_polredabs": true, "trace_hash": 1278216773956985084, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [64, 96, -1256, 993, 1665, -767, -572, 216, 72, -25, -3, 1]], [7, [3680, 6256, -13566, -3243, 7999, -39, -1774, 202, 160, -27, -5, 1]], [13, [-8192, -33664, -11136, 47360, 6352, -12848, -936, 1364, 52, -62, -1, 1]]], "qexp_display": "q+q^{2}+\\beta _{1}q^{3}+q^{4}+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": 18920, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 37.76924015606562, "hecke_ring_index": 2, "level_radical": 4730, "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": [4730, 1, [947, 431, 1981], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 5, 11, 43], "conrey_indexes": [1], "field_disc": 166261757049883385744, "field_disc_factorization": [[2, 4], [7, 1], [23, 1], [656833, 1], [98263344793, 1]], "field_poly": [64, 96, -1256, 993, 1665, -767, -572, 216, 72, -25, -3, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.074", "prec": 17}, {"__RealLiteral__": 0, "data": "9.504", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "267.188", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12320.650", "prec": 30}], "related_objects": [], "self_twist_discs": [], 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