# Stored data for newform 400.6.a.g, downloaded from the LMFDB on 19 April 2024.
{"label": "400.6.a.g", "space_label": "400.6.a", "level": 400, "weight": 6, "hecke_orbit": 7, "hecke_orbit_code": 27021597864886672, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 469875186860867341, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, 1]]], "qexp_display": "q-4q^{3}+192q^{7}-227q^{9}+148q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14400, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 64.15352792519225, "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": [400, 1, [351, 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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, {"__RealLiteral__": 0, "data": "1.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.110", "prec": 17}, {"__RealLiteral__": 0, "data": "4.594", "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], [5, 1]], "trace_display": [0, -4, 0, 192], "traces": [0, 1, 0, -4, 0, 0, 0, 192, 0, -227, 0, 148, 0, -286, 0, 0, 0, 1678, 0, -1060, 0, -768, 0, 2976, 0, 0, 0, 1880, 0, -3410, 0, 2448, 0, -592, 0, 0, 0, -182, 0, 1144, 0, -9398, 0, -1244, 0, 0, 0, -12088, 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