# Stored data for newform 2205.4.a.u, downloaded from the LMFDB on 24 April 2024.
{"label": "2205.4.a.u", "space_label": "2205.4.a", "level": 2205, "weight": 4, "hecke_orbit": 21, "hecke_orbit_code": 90071992614520989, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 822803605728479483, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [14, 8, 1]], [11, [-1999, -14, 1]], [13, [593, 50, 1]], [17, [-3247, 50, 1]]], "qexp_display": "q+(-4+\\beta )q^{2}+(10-8\\beta )q^{4}-5q^{5}+\\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": 8, "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": "0.002", "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": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.936", "prec": 17}, {"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "9.177", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "59.993", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -1]], "trace_display": [-8, 0, -10, 0], "traces": [0, 2, -8, 0, 20, -10, 0, 0, -48, 0, 40, 14, 0, -50, 0, 0, 168, -50, 0, -36, -100, 0, -184, 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