# Stored data for newform 4730.2.a.x, downloaded from the LMFDB on 29 March 2024. {"label": "4730.2.a.x", "space_label": "4730.2.a", "level": 4730, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463080570, "dim": 8, "is_polredabs": true, "trace_hash": 2286693758481261990, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [64, -24, -136, 27, 86, -3, -17, 0, 1]], [7, [436, -80, -661, 277, 181, -76, -19, 5, 1]], [13, [256, 352, -804, -56, 366, -50, -34, 3, 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": 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": "0.007", "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": 3929800979232, "field_disc_factorization": [[2, 5], [3, 4], [2467, 1], [614563, 1]], "field_poly": [64, -24, -136, 27, 86, -3, -17, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.816", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "132.239", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4005.846", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, 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