# Stored data for newform 8046.2.a.i, downloaded from the LMFDB on 23 April 2024.
{"label": "8046.2.a.i", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052526446, "dim": 12, "is_polredabs": true, "trace_hash": 768281119470792214, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-553, 224, 4805, 3333, -4461, -4323, 607, 1302, 104, -142, -23, 5, 1]], [11, [11955, 100248, 199929, 102673, -45816, -45905, -277, 6139, 679, -326, -49, 6, 1]]], "qexp_display": "q-q^{2}+q^{4}-\\beta _{1}q^{5}+(1-\\beta _{5})q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32184, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 64.2476334663222, "hecke_ring_index": 1, "level_radical": 894, "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": [8046, 1, [299, 3727], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 149], "conrey_indexes": [1], "field_disc": 6513699510086430554361, "field_disc_factorization": [[3, 3], [7, 1], [25117, 1], [1372139131738897, 1]], "field_poly": [-553, -224, 4805, -3333, -4461, 4323, 607, -1302, 104, 142, -23, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "239.323", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10908.369", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": 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