# Stored data for newform 450.6.a.a, downloaded from the LMFDB on 24 April 2024.
{"label": "450.6.a.a", "space_label": "450.6.a", "level": 450, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663746, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1300454004737014655, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [233, 1]], [11, [-498, 1]], [17, [1002, 1]]], "qexp_display": "q-4q^{2}+2^{4}q^{4}-233q^{7}-2^{6}q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16200, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 72.17271891584129, "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": "0.051", "prec": 17}, {"__RealLiteral__": 0, "data": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.122", "prec": 17}, {"__RealLiteral__": 0, "data": "2.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.342", "prec": 17}, {"__RealLiteral__": 0, "data": "4.998", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1]], "trace_display": [-4, 0, 0, -233], "traces": [0, 1, -4, 0, 16, 0, 0, -233, -64, 0, 0, 498, 0, -809, 932, 0, 256, -1002, 0, -1705, 0, 0, -1992, 1554, 0, 0, 3236, 0, -3728, -7830, 0, 977, 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