# Stored data for newform 1617.2.a.m, downloaded from the LMFDB on 20 April 2024.
{"label": "1617.2.a.m", "space_label": "1617.2.a", "level": 1617, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562002001, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 406211814211299533, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 1]], [5, [-2, 1]], [13, [-4, 4, 1]], [17, [7, -6, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}-q^{3}+(1-2\\beta )q^{4}+2q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6468, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 12.911810006841039, "hecke_ring_index": 1, "level_radical": 231, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [1617, 1, [1079, 199, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 11], "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": "1.882", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.578", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "54.163", "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], [7, -1], [11, -1]], "trace_display": [-2, -2, 4, 0], "traces": [0, 2, -2, -2, 2, 4, 2, 0, -6, 2, -4, 2, -2, -4, 0, -4, 6, 6, -2, -6, 4, 0, -2, -14, 6, -2, -4, -2, 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