# Stored data for newform 8034.2.a.s, downloaded from the LMFDB on 19 April 2024. {"label": "8034.2.a.s", "space_label": "8034.2.a", "level": 8034, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326231394, "dim": 10, "is_polredabs": true, "trace_hash": 807738902596210740, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [256, 112, -2392, 1671, 1013, -945, -49, 151, -17, -6, 1]], [7, [-3088, 5417, 628, -4323, 540, 1207, -123, -162, 0, 9, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+(1+\\beta _{8})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32136, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 64.15181298389666, "hecke_ring_index": 1, "level_radical": 8034, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [8034, 1, [5357, 1237, 5773], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 13, 103], "conrey_indexes": [1], "field_disc": 44826583554435160, "field_disc_factorization": [[2, 3], [5, 1], [73, 1], [139, 1], [1201, 1], [8969, 1], [10253, 1]], "field_poly": [-2, -15, -15, 68, 54, -115, -27, 72, -15, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.579", "prec": 17}, {"__RealLiteral__": 0, "data": "1.158", "prec": 17}, {"__RealLiteral__": 0, "data": "217.795", "prec": 24}, {"__RealLiteral__": 0, "data": "88.309", "prec": 20}, {"__RealLiteral__": 0, "data": "8814.351", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": 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