# Stored data for newform 4022.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "4022.2.a.b", "space_label": "4022.2.a", "level": 4022, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660928950, "dim": 3, "is_polredabs": true, "nf_label": "3.3.169.1", "trace_hash": 174089499646450291, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+\\beta _{1}q^{5}-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": 16088, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 32.11583169295897, "hecke_ring_index": 1, "level_radical": 4022, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4022, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 2011], "conrey_indexes": [1], "field_disc": 169, "field_disc_factorization": [[13, 2]], "field_poly": [-1, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.928", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.605", "prec": 20}, {"__RealLiteral__": 0, "data": "0.156", "prec": 17}, {"__RealLiteral__": 0, "data": "255.586", "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], [2011, -1]], "trace_display": [3, -3, 1, -1], "traces": [0, 3, 3, -3, 3, 1, -3, -1, 3, -6, 1, 9, -3, -4, -1, -1, 3, -7, -6, 2, 1, 1, 9, -8, -3, -6, -4, 15, -1, -20, -1, -5, 3, -9, -7, 4, -6, -9, 2, 4, 1, 1, 1, -11, 9, 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