# Stored data for newform 4017.2.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "4017.2.a.d", "space_label": "4017.2.a", "level": 4017, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915669937, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1576896666079248102, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 2, 1]], [23, [-28, -4, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}-q^{3}+(1-2\\beta )q^{4}+(-2+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16068, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 32.07590649194833, "hecke_ring_index": 1, "level_radical": 4017, "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": "0.030", "prec": 17}, "analytic_rank_proved": true, "char_values": [4017, 1, [1340, 1237, 1756], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 13, 103], "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": "2.112", "prec": 17}, {"__RealLiteral__": 0, "data": "0.211", "prec": 17}, {"__RealLiteral__": 0, "data": "10.966", "prec": 20}, {"__RealLiteral__": 0, "data": "3.319", "prec": 17}, {"__RealLiteral__": 0, "data": "78.253", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [13, -1], [103, -1]], "trace_display": [-2, -2, -4, 0], "traces": [0, 2, -2, -2, 2, -4, 2, 0, -6, 2, 8, 0, -2, 2, -8, 4, 6, 8, -2, 0, -12, 0, -4, 4, 6, 2, -2, -2, 16, -4, -8, -12, 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