# Stored data for newform 4730.2.a.z, downloaded from the LMFDB on 16 April 2024.
{"label": "4730.2.a.z", "space_label": "4730.2.a", "level": 4730, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717821562, "dim": 10, "is_polredabs": true, "trace_hash": 720562072238585823, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-132, 531, -500, -330, 621, -86, -180, 67, 10, -8, 1]], [7, [141, 1437, 4280, 3077, -2203, -1334, 513, 125, -42, -3, 1]], [13, [13536, 49632, 50032, 2136, -17432, -4284, 1582, 342, -62, -7, 1]]], "qexp_display": "q-q^{2}+(1-\\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\\cdots)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": 1, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [4730, 1, [947, 431, 1981], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 11, 43], "conrey_indexes": [1], "field_disc": 1037362462104078912, "field_disc_factorization": [[2, 6], [3, 1], [17, 2], [47, 1], [2003, 1], [198587839, 1]], "field_poly": [-6, -2, 120, -47, -262, -45, 107, 21, -17, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.171", "prec": 17}, {"__RealLiteral__": 0, "data": "8.910", "prec": 17}, {"__RealLiteral__": 0, "data": "2.756", "prec": 17}, {"__RealLiteral__": 0, "data": "234.366", "prec": 24}, {"__RealLiteral__": 0, "data": "44.213", "prec": 20}, {"__RealLiteral__": 0, "data": "9350.570", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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