# Stored data for newform 450.4.a.c, downloaded from the LMFDB on 18 April 2024.
{"label": "450.4.a.c", "space_label": "450.4.a", "level": 450, "weight": 4, "hecke_orbit": 3, "hecke_orbit_code": 9007199321850306, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1014952344313838376, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [14, 1]], [11, [6, 1]], [17, [-78, 1]]], "qexp_display": "q-2q^{2}+4q^{4}-14q^{7}-8q^{8}-6q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7200, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 26.550859502583275, "hecke_ring_index": 1, "level_radical": 30, "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": [450, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.653", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 1]], "trace_display": [-2, 0, 0, -14], "traces": [0, 1, -2, 0, 4, 0, 0, -14, -8, 0, 0, -6, 0, -68, 28, 0, 16, 78, 0, 44, 0, 0, 12, 120, 0, 0, 136, 0, -56, -126, 0, -244, -32, 0, -156, 0, 0, 304, 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