# Stored data for newform 3234.2.a.bg, downloaded from the LMFDB on 16 April 2024.
{"label": "3234.2.a.bg", "space_label": "3234.2.a", "level": 3234, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109413538, "dim": 3, "is_polredabs": true, "nf_label": "3.3.621.1", "trace_hash": 1962931236034489160, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-4, -9, 0, 1]], [13, [-32, -36, 0, 1]], [17, [1, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-\\beta _{2}q^{5}-q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12936, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 25.823620013682078, "hecke_ring_index": 2, "level_radical": 462, "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": "0.030", "prec": 17}, "analytic_rank_proved": true, "char_values": [3234, 1, [1079, 199, 2059], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 621, "field_disc_factorization": [[3, 3], [23, 1]], "field_poly": [-3, -6, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "2.735", "prec": 17}, {"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "19.927", "prec": 20}, {"__RealLiteral__": 0, "data": "2.970", "prec": 17}, {"__RealLiteral__": 0, "data": "219.627", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1], [11, -1]], "trace_display": [3, -3, 0, 0], "traces": [0, 3, 3, -3, 3, 0, -3, 0, 3, 3, 0, 3, -3, 0, 0, 0, 3, -3, 3, 3, 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