# Stored data for newform 8619.2.a.q, downloaded from the LMFDB on 20 April 2024.
{"label": "8619.2.a.q", "space_label": "8619.2.a", "level": 8619, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071490987, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 797794312954151663, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, -1, 1]], [5, [-2, 3, 1]], [7, [0, 1]]], "qexp_display": "q+\\beta q^{2}-q^{3}+(2+\\beta )q^{4}+(-1-\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34476, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 68.82306150214156, "hecke_ring_index": 1, "level_radical": 663, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8619, 1, [5747, 5917, 2536], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 13, 17], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.368", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.453", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [13, 1], [17, -1]], "trace_display": [1, -2, -3, 0], "traces": [0, 2, 1, -2, 5, -3, -1, 0, 9, 2, -10, 1, -5, 0, 0, 3, 3, 2, 1, -3, -16, 0, -8, -9, -9, 3, 0, -2, 0, 0, 10, 2, 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