# Stored data for newform 4730.2.a.be, downloaded from the LMFDB on 24 April 2024.
{"label": "4730.2.a.be", "space_label": "4730.2.a", "level": 4730, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854674042, "dim": 12, "is_polredabs": true, "trace_hash": 1180697019254158008, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [392, 1648, -483, -5557, 1634, 3281, -1023, -766, 247, 79, -26, -3, 1]], [7, [-35672, -132964, 260618, -43473, -110398, 45564, 10637, -7320, 20, 421, -36, -8, 1]], [13, [-134656, 624960, -1095168, 843552, -179280, -117568, 64032, -2732, -3860, 678, 34, -16, 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": "0.002", "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": 6898413498752261288544768, "field_disc_factorization": [[2, 9], [3, 4], [13, 2], [79201, 1], [12427302600301, 1]], "field_poly": [392, 1648, -483, -5557, 1634, 3281, -1023, -766, 247, 79, -26, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.071", "prec": 17}, {"__RealLiteral__": 0, "data": "9.682", "prec": 17}, {"__RealLiteral__": 0, "data": "1.697", "prec": 17}, {"__RealLiteral__": 0, "data": "270.720", "prec": 24}, {"__RealLiteral__": 0, "data": "35.762", "prec": 20}, {"__RealLiteral__": 0, "data": "12001.458", "prec": 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