# Stored data for newform 529.4.a.c, downloaded from the LMFDB on 18 May 2024.
{"label": "529.4.a.c", "space_label": "529.4.a", "level": 529, "weight": 4, "hecke_orbit": 3, "hecke_orbit_code": 9007199321850385, "dim": 2, "is_polredabs": true, "nf_label": "2.2.85.1", "trace_hash": 2098810886576465617, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 1]], [3, [1, 1]], [5, [-340, 0, 1]]], "qexp_display": "q-2q^{2}-q^{3}-4q^{4}+\\beta q^{5}+2q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8464, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 31.212010393036785, "hecke_ring_index": 4, "level_radical": 23, "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": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [529, 1, [5], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [23], "conrey_indexes": [1], "field_disc": 85, "field_disc_factorization": [[5, 1], [17, 1]], "field_poly": [-21, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.016", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "145.138", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[23, -1]], "trace_display": [-4, -2, 0, 0], "traces": [0, 2, -4, -2, -8, 0, 4, 0, 48, -52, 0, 0, 8, 62, 0, 0, -32, 0, 104, 0, 0, 0, 0, 0, -48, 430, -124, 106, 0, -446, 0, -58, -320, 0, 0, 680, 208, 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