# Stored data for newform 8008.2.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "8008.2.a.r", "space_label": "8008.2.a", "level": 8008, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698860872, "dim": 9, "is_polredabs": true, "trace_hash": 1567353292730784437, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-8, -51, 38, 119, -97, -48, 55, -5, -5, 1]], [5, [-6, -1, 66, -9, -157, 58, 49, -17, -3, 1]], [17, [-1958, -54051, 20070, 47481, 15915, 90, -693, -71, 7, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{3}+\\beta _{6}q^{5}-q^{7}+(1+\\beta _{3}+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32032, "fricke_eigenval": -1, "atkin_lehner_string": "-+++", "analytic_conductor": 63.944201938641335, "hecke_ring_index": 1, "level_radical": 2002, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [8008, 1, [6007, 4005, 3433, 4369, 4929], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 11, 13], "conrey_indexes": [1], "field_disc": 2623908234113008, "field_disc_factorization": [[2, 4], [1093, 1], [150040498291, 1]], "field_poly": [1, 18, 51, -20, -89, 23, 36, -9, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.209", "prec": 17}, {"__RealLiteral__": 0, "data": "7.341", "prec": 17}, {"__RealLiteral__": 0, "data": "3.351", "prec": 17}, {"__RealLiteral__": 0, "data": "162.676", "prec": 24}, {"__RealLiteral__": 0, "data": "81.685", "prec": 20}, {"__RealLiteral__": 0, "data": "5794.696", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": 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