# Stored data for newform 207.6.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "207.6.a.c", "space_label": "207.6.a", "level": 207, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355404495, "dim": 3, "is_polredabs": true, "nf_label": "3.3.5333.1", "trace_hash": 1549129779768246444, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [46, -27, -8, 1]]], "qexp_display": "q+(3-\\beta _{2})q^{2}+(9-4\\beta _{1}-9\\beta _{2})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": 2, "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": 5333, "field_disc_factorization": [[5333, 1]], "field_poly": [8, -11, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "2.906", "prec": 17}, {"__RealLiteral__": 0, "data": "0.740", "prec": 17}, {"__RealLiteral__": 0, "data": "22.380", "prec": 20}, {"__RealLiteral__": 0, "data": "12.242", "prec": 20}, {"__RealLiteral__": 0, "data": "249.937", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, 1]], "trace_display": [8, 0, 56, -114], "traces": [0, 3, 8, 0, 22, 56, 0, -114, 510, 0, 282, 376, 0, -858, -588, 0, 2738, 2548, 0, -2846, 4618, 0, -5050, -1587, 0, 753, 7788, 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