# Stored data for newform 605.4.a.d, downloaded from the LMFDB on 18 April 2024.
{"label": "605.4.a.d", "space_label": "605.4.a", "level": 605, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949220957, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 330689644069627011, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, 1]], [3, [-2, 1]]], "qexp_display": "q+4q^{2}+2q^{3}+8q^{4}-5q^{5}+8q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9680, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 35.69615555347307, "hecke_ring_index": 1, "level_radical": 55, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [605, 1, [122, 486], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [5, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "1.919", "prec": 17}, {"__RealLiteral__": 0, "data": "0.083", "prec": 17}, {"__RealLiteral__": 0, "data": "4.742", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, -1]], "trace_display": [4, 2, -5, -6], "traces": [0, 1, 4, 2, 8, -5, 8, -6, 0, -23, -20, 0, 16, 38, -24, -10, -64, -26, -92, -100, -40, -12, 0, -78, 0, 25, 152, -100, -48, 50, -40, -108, -256, 0, -104, 30, -184, 266, -400, 76, 0, -22, 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