# Stored data for newform 1600.4.a.r, downloaded from the LMFDB on 24 April 2024.
{"label": "1600.4.a.r", "space_label": "1600.4.a", "level": 1600, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732408896, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1474767443284818971, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [2, 1]], [7, [6, 1]], [11, [60, 1]], [13, [-50, 1]]], "qexp_display": "q-2q^{3}-6q^{7}-23q^{9}-60q^{11}+50q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25600, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 94.40305600918498, "hecke_ring_index": 1, "level_radical": 10, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [1600, 1, [1151, 901, 577], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.107", "prec": 17}, {"__RealLiteral__": 0, "data": "1.861", "prec": 17}, {"__RealLiteral__": 0, "data": "0.325", "prec": 17}, {"__RealLiteral__": 0, "data": "4.536", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1]], "trace_display": [0, -2, 0, -6], "traces": [0, 1, 0, -2, 0, 0, 0, -6, 0, -23, 0, -60, 0, 50, 0, 0, 0, 30, 0, -40, 0, 12, 0, -178, 0, 0, 0, 100, 0, -166, 0, 20, 0, 120, 0, 0, 0, 10, 0, -100, 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