# Stored data for newform 8008.2.a.l, downloaded from the LMFDB on 28 March 2024. {"label": "8008.2.a.l", "space_label": "8008.2.a", "level": 8008, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934637896, "dim": 8, "is_polredabs": true, "trace_hash": 1554320793839134620, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-21, -4, 97, 87, -30, -43, -3, 5, 1]], [5, [-303, 146, 835, 387, -140, -107, -3, 7, 1]], [17, [729, 2052, -2773, -997, 596, 105, -43, -3, 1]]], "qexp_display": "q+(-1+\\beta _{3})q^{3}+(-1+\\beta _{5})q^{5}+q^{7}+\\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": 16, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8008, 1, [6007, 4005, 3433, 4369, 4929], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 7, 11, 13], "conrey_indexes": [1], "field_disc": 25360159169, "field_disc_factorization": [[25360159169, 1]], "field_poly": [1, -2, -18, -10, 24, 12, -9, -2, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.829", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "140.628", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4615.934", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, 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