# Stored data for newform 289.4.a.g, downloaded from the LMFDB on 29 March 2024. {"label": "289.4.a.g", "space_label": "289.4.a", "level": 289, "weight": 4, "hecke_orbit": 7, "hecke_orbit_code": 27021597831332129, "dim": 12, "is_polredabs": true, "trace_hash": 1413952131360511157, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-56, 224, 111, -64, -20, 4, 1]], [3, [20428832, 0, -10931104, 0, 2041764, 0, -174192, 0, 7324, 0, -144, 0, 1]]], "qexp_display": "q+(-1+\\beta _{5})q^{2}+\\beta _{7}q^{3}+(2+2\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4624, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 17.05155199165904, "hecke_ring_index": 2, "level_radical": 17, "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": "0.514", "prec": 17}, "analytic_rank_proved": true, "char_values": [289, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [17], "conrey_indexes": [1], "field_disc": 1263986582335279478079488, "field_disc_factorization": [[2, 33], [7, 2], [89, 2], [19471, 2]], "field_poly": [1156, -15776, -57024, -32336, 38476, 21448, -10364, -3456, 1191, 204, -58, -4, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.716", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "544.310", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "46970.079", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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