# Stored data for newform 2205.2.a.w, downloaded from the LMFDB on 23 April 2024.
{"label": "2205.2.a.w", "space_label": "2205.2.a", "level": 2205, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835707549, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 2134702348066173055, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, 0, 1]], [11, [-16, 4, 1]], [13, [-20, 0, 1]], [17, [2, 1]]], "qexp_display": "q-\\beta q^{2}+3q^{4}-q^{5}-\\beta q^{8}+\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8820, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 17.607013645692323, "hecke_ring_index": 2, "level_radical": 105, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [2205, 1, [1226, 442, 1081], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.918", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.200", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.842", "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], [5, 1], [7, -1]], "trace_display": [0, 0, -2, 0], "traces": [0, 2, 0, 0, 6, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, -4, 0, -4, -6, 0, -20, -8, 0, 2, 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