# Stored data for newform 3450.2.a.bg, downloaded from the LMFDB on 19 April 2024.
{"label": "3450.2.a.bg", "space_label": "3450.2.a", "level": 3450, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109413754, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 851125606025685180, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [-2, 1]], [11, [-18, 0, 1]], [13, [-4, 4, 1]], [17, [8, 8, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13800, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 27.548388697341732, "hecke_ring_index": 1, "level_radical": 690, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.042", "prec": 17}, "analytic_rank_proved": true, "char_values": [3450, 1, [1151, 277, 1201], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 23], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.073", "prec": 17}, {"__RealLiteral__": 0, "data": "9.334", "prec": 17}, {"__RealLiteral__": 0, "data": "1.629", "prec": 17}, {"__RealLiteral__": 0, "data": "62.726", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1], [23, -1]], "trace_display": [-2, -2, 0, 4], "traces": [0, 2, -2, -2, 2, 0, 2, 4, -2, 2, 0, 0, -2, -4, -4, 0, 2, -8, -2, 4, 0, -4, 0, 2, 2, 0, 4, -2, 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