# Stored data for newform 6400.2.a.bt, downloaded from the LMFDB on 29 March 2024. {"label": "6400.2.a.bt", "space_label": "6400.2.a", "level": 6400, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265233152, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 2223720709311669231, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-5, 0, 1]], [7, [0, 1]], [11, [-5, 0, 1]], [13, [-4, 1]], [17, [-3, 1]], [29, [-4, 1]], [31, [-80, 0, 1]]], "qexp_display": "q-\\beta q^{3}+2q^{9}+\\beta q^{11}+4q^{13}+3q^{17}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25600, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 51.10425729361945, "hecke_ring_index": 2, "level_radical": 10, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.512", "prec": 17}, "analytic_rank_proved": true, "char_values": [6400, 1, [4351, 4101, 5377], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "15.468", "prec": 20}, {"__RealLiteral__": 0, "data": "2.160", "prec": 17}, {"__RealLiteral__": 0, "data": "157.481", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, 0, 0, 0], "traces": [0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -10, 0, 0, 0, 16, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 8, 0, 0, 0, -10, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 40, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 48, 0, 0, 0, 40, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 24, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 40, 0, 0, 0, -36, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -12, 0, 0, 0, 64, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 66, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -40, 0, 0, 0, 16, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 22, 0, 0, 0, 40, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 80, 0, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 16, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 10, 0, 0, 0, -40, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 40, 0, 0, 0, 70, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, -40, 0, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 18, 0, 0, 0, -80, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 44, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -30, 0, 0, 0, -56, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, 36, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -28, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 8, 0, 0, 0, -30, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130, 0, 0, 0, -16, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 64, 0, 0, 0, 104, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, -120, 0, 0, 0, 40, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -42, 0, 0, 0, -40, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 110, 0, 0, 0, -8, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -64, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -160, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -80, 0, 0, 0, -46, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -42, 0, 0, 0, -40, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -10, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 72, 0, 0, 0, 4, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 48, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -112, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 40, 0, 0, 0, 130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 2, 0, 0, 0, 120, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -10, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -8, 0, 0, 0, -94, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -52, 0, 0, 0, 16, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -30, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -80, 0, 0, 0, 36, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -50, 0, 0, 0, -160, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, -32, 0, 0, 0, -66, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 98, 0, 0, 0, -120, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 160, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, -72, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 90, 0, 0, 0, 80, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -62, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, -48, 0, 0, 0, -30, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -64, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 8, 0, 0, 0, 70, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -40, 0, 0, 0, -154, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -8, 0, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -84, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 124, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 50, 0, 0, 0, -160, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 160, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 104, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 18, 0, 0, 0, -40, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 128, 0, 0, 0, -160, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 88, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -58, 0, 0, 0, 96, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, -80, 0, 0, 0, -26, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 48, 0, 0, 0, -36, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 70, 0, 0, 0, 120, 0, 0, 0, 106, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 2, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -80, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -120, 0, 0, 0, -80, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 168, 0, 0, 0, 120, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -120, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 92, 0, 0, 0, 80, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 166, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 72, 0, 0, 0, -50, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 160, 0, 0, 0, 144, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 178, 0, 0, 0, 120, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, -40, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -64, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 2, 0, 0, 0, 136, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -120, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -320, 0, 0, 0, -144, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -170, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 18, 0, 0, 0, -56, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 120, 0, 0, 0, 84, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -138, 0, 0, 0, 96, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 146, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 40, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 38, 0, 0, 0, 40, 0, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 160, 0, 0, 0, 54, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 70, 0, 0, 0, -56, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, -142, 0, 0, 0, 96, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 66, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -40, 0, 0, 0, -186, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 230, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -42, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 90, 0, 0, 0, -176, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "3200.2.d.o", "char_is_minimal": false, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 1], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [4, 0], [0, 0], [0, -4], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [0, -4], [0, 0], [5, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [-7, 0], [0, 0], [0, -3], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [0, -4], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [-20, 0], [0, 0], [0, -4], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-11, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [15, 0], [0, 0], [0, 0], [0, 0], [20, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 2], [0, 0]]}