# Stored data for newform 966.4.a.i, downloaded from the LMFDB on 16 April 2024.
{"label": "966.4.a.i", "space_label": "966.4.a", "level": 966, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028797086073798, "dim": 4, "is_polredabs": true, "trace_hash": 1829817774482074861, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [4758, -37, -228, -10, 1]]], "qexp_display": "q-2q^{2}-3q^{3}+4q^{4}+(2+\\beta _{1})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15456, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 56.99584506554543, "hecke_ring_index": 1, "level_radical": 966, "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": 0, "analytic_rank_proved": true, "char_values": [966, 1, [323, 829, 925], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 5332990397, "field_disc_factorization": [[7, 1], [1187, 1], [641833, 1]], "field_poly": [3708, -1037, -264, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.053", "prec": 17}, {"__RealLiteral__": 0, "data": "3.765", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "42.117", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "767.296", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1], [23, -1]], "trace_display": [-8, -12, 10, 28], "traces": [0, 4, -8, -12, 16, 10, 24, 28, -32, 36, -20, 24, -48, -46, -56, -30, 64, 84, -72, 74, 40, -84, -48, 92, 96, 56, 92, -108, 112, 453, 60, 244, 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