# Stored data for newform 8450.2.a.bo, downloaded from the LMFDB on 19 April 2024.
{"label": "8450.2.a.bo", "space_label": "8450.2.a", "level": 8450, "weight": 2, "hecke_orbit": 41, "hecke_orbit_code": 180143985128382722, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1982209887766781658, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, -2, 1, 1]], [7, [1, 6, 5, 1]], [11, [8, -4, -4, 1]], [17, [8, 24, 10, 1]], [31, [344, -44, -8, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(-1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33800, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 67.47358970798193, "hecke_ring_index": 1, "level_radical": 130, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [8450, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 13], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.858", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.348", "prec": 20}, {"__RealLiteral__": 0, "data": "3.949", "prec": 17}, {"__RealLiteral__": 0, "data": "281.878", "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], [5, 1], [13, 1]], "trace_display": [-3, -1, 0, -5], "traces": [0, 3, -3, -1, 3, 0, 1, -5, -3, -4, 0, 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