# Stored data for newform 200.8.a.i, downloaded from the LMFDB on 29 March 2024. {"label": "200.8.a.i", "space_label": "200.8.a", "level": 200, "weight": 8, "hecke_orbit": 9, "hecke_orbit_code": 36028797153181896, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2275078885316178194, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-84, 1]]], "qexp_display": "q+84q^{3}+456q^{7}+4869q^{9}-2524q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12800, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 62.47700509682435, "hecke_ring_index": 1, "level_radical": 10, "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": [200, 1, [151, 101, 177], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "0.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.081", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.196", "prec": 17}, {"__RealLiteral__": 0, "data": "4.888", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1]], "trace_display": [0, 84, 0, 456], "traces": [0, 1, 0, 84, 0, 0, 0, 456, 0, 4869, 0, -2524, 0, 10778, 0, 0, 0, 11150, 0, 4124, 0, 38304, 0, -81704, 0, 0, 0, 225288, 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