# Stored data for newform 1008.4.a.s, downloaded from the LMFDB on 20 April 2024.
{"label": "1008.4.a.s", "space_label": "1008.4.a", "level": 1008, "weight": 4, "hecke_orbit": 19, "hecke_orbit_code": 81064793359778800, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2247773321522093900, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-14, 1]], [11, [28, 1]]], "qexp_display": "q+14q^{5}+7q^{7}-28q^{11}+18q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16128, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 59.47392528578654, "hecke_ring_index": 1, "level_radical": 42, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1008, 1, [127, 757, 785, 577], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.977", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -1]], "trace_display": [0, 0, 14, 7], "traces": [0, 1, 0, 0, 0, 14, 0, 7, 0, 0, 0, -28, 0, 18, 0, 0, 0, -74, 0, -80, 0, 0, 0, -112, 0, 71, 0, 0, 0, -190, 0, -72, 0, 0, 0, 98, 0, -346, 0, 0, 0, -162, 0, 412, 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