# Stored data for newform 4031.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "4031.2.a.a", "space_label": "4031.2.a", "level": 4031, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33558463, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 16984005226499418, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -2, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(1+\\beta )q^{3}+(1+2\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16124, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 32.18769705477812, "hecke_ring_index": 1, "level_radical": 4031, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [4031, 1, [3337, 697], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [29, 139], "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": "2.032", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.020", "prec": 20}, {"__RealLiteral__": 0, "data": "0.869", "prec": 17}, {"__RealLiteral__": 0, "data": "68.347", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[29, -1], [139, 1]], "trace_display": [2, 2, 4, -2], "traces": [0, 2, 2, 2, 2, 4, 6, -2, 6, 0, 4, 0, 10, 10, -10, 4, 6, 6, 8, -2, 4, -10, 0, 12, 10, -2, 10, 2, -18, 2, 12, 4, -6, 0, 10, -4, 16, 0, -14, 10, 12, 4, -22, -2, 0, 0, 4, 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