# Stored data for newform 207.6.a.e, downloaded from the LMFDB on 25 April 2024.
{"label": "207.6.a.e", "space_label": "207.6.a", "level": 207, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610145487, "dim": 4, "is_polredabs": true, "trace_hash": 21855486277719421, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [620, -188, -69, 4, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(7-\\beta _{1}+\\beta _{3})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7452, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 33.19945070128699, "hecke_ring_index": 4, "level_radical": 69, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [207, 1, [47, 28], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 23], "conrey_indexes": [1], "field_disc": 287164549, "field_disc_factorization": [[7, 2], [5860501, 1]], "field_poly": [736, -42, -75, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.664", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "35.676", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "518.372", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, -1]], "trace_display": [-4, 0, -22, -62], "traces": [0, 4, -4, 0, 26, -22, 0, -62, -72, 0, -496, 1076, 0, -396, 1806, 0, -1982, -70, 0, -6366, 5240, 0, -6974, 2116, 0, 1264, -2464, 0, -6474, -3948, 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