# Stored data for newform 2205.4.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "2205.4.a.c", "space_label": "2205.4.a", "level": 2205, "weight": 4, "hecke_orbit": 3, "hecke_orbit_code": 9007199321852061, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 707195937392847245, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 1]], [11, [-24, 1]], [13, [74, 1]], [17, [-54, 1]]], "qexp_display": "q-3q^{2}+q^{4}-5q^{5}+21q^{8}+15q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 35280, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 130.09921156265804, "hecke_ring_index": 1, "level_radical": 105, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2205, 1, [1226, 442, 1081], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.037", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.108", "prec": 17}, {"__RealLiteral__": 0, "data": "1.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.289", "prec": 17}, {"__RealLiteral__": 0, "data": "4.975", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -1]], "trace_display": [-3, 0, -5, 0], "traces": [0, 1, -3, 0, 1, -5, 0, 0, 21, 0, 15, 24, 0, -74, 0, 0, -71, 54, 0, 124, -5, 0, -72, 120, 0, 25, 222, 0, 0, 78, 0, -200, 45, 0, -162, 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