# Stored data for newform 3200.2.a.bm, downloaded from the LMFDB on 28 March 2024. {"label": "3200.2.a.bm", "space_label": "3200.2.a", "level": 3200, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873636480, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1679889839503871586, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -2, 1]], [7, [-4, -4, 1]], [11, [-17, 2, 1]], [13, [-32, 0, 1]]], "qexp_display": "q+(1+\\beta )q^{3}+(2-2\\beta )q^{7}+2\\beta q^{9}+(-1+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12800, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 25.552128646809724, "hecke_ring_index": 1, "level_radical": 10, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [3200, 1, [1151, 901, 2177], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5], "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": "1.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.256", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.071", "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], [5, -1]], "trace_display": [0, 2, 0, 4], "traces": [0, 2, 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