# Stored data for newform 8019.2.a.a, downloaded from the LMFDB on 16 April 2024.
{"label": "8019.2.a.a", "space_label": "8019.2.a", "level": 8019, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33562451, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 219112295636876123, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -3, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{2}q^{4}+(-1+\\beta _{1}-2\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32076, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 64.03203738086474, "hecke_ring_index": 1, "level_radical": 33, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [8019, 1, [5105, 2917], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 11], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "22.715", "prec": 20}, {"__RealLiteral__": 0, "data": "1.332", "prec": 17}, {"__RealLiteral__": 0, "data": "260.364", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [11, 1]], "trace_display": [0, 0, -3, -3], "traces": [0, 3, 0, 0, 0, -3, 0, -3, -3, 0, 0, -3, 0, -9, -3, 0, -6, 12, 0, 12, -9, 0, 0, 0, 0, 6, 12, 0, 6, 6, 0, 3, 9, 0, -6, -6, 0, 0, 15, 0, 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