# Stored data for newform 2205.4.a.x, downloaded from the LMFDB on 13 May 2024.
{"label": "2205.4.a.x", "space_label": "2205.4.a", "level": 2205, "weight": 4, "hecke_orbit": 24, "hecke_orbit_code": 103582791496632477, "dim": 2, "is_polredabs": true, "nf_label": "2.2.44.1", "trace_hash": 921648953917885186, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-10, 2, 1]], [11, [913, 66, 1]], [13, [-4375, 10, 1]], [17, [-3175, -70, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+(4-2\\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": 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": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 44, "field_disc_factorization": [[2, 2], [11, 1]], "field_poly": [-11, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.920", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.937", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.534", "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": [-2, 0, 10, 0], "traces": [0, 2, -2, 0, 8, 10, 0, 0, -36, 0, -10, -66, 0, -10, 0, 0, -72, 70, 0, -140, 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