# Stored data for newform 6400.2.a.bb, downloaded from the LMFDB on 19 April 2024. {"label": "6400.2.a.bb", "space_label": "6400.2.a", "level": 6400, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972564224, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1730959518727100790, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]], [7, [-12, 0, 1]], [11, [-3, 1]], [13, [-12, 0, 1]], [17, [3, 1]], [29, [-108, 0, 1]], [31, [-48, 0, 1]]], "qexp_display": "q-q^{3}-\\beta q^{7}-2q^{9}+3q^{11}-\\beta q^{13}+\\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": 12, "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": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [6400, 1, [4351, 4101, 5377], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.132", "prec": 20}, {"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "151.243", "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, -2, 0, 0], "traces": [0, 2, 0, -2, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 18, 0, -8, 0, 0, 0, 0, 0, 10, 0, 6, 0, 0, 0, 0, 0, 2, 0, -24, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 2, 0, -30, 0, 0, 0, 0, 0, 6, 0, 24, 0, 0, 0, 0, 0, -28, 0, -12, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, -4, 0, -18, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 18, 0, -10, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 24, 0, 6, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 22, 0, -72, 0, 0, 0, 0, 0, -6, 0, 50, 0, 0, 0, 0, 0, -48, 0, -14, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 10, 0, -32, 0, 0, 0, 0, 0, 30, 0, 18, 0, 0, 0, 0, 0, 12, 0, -72, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -36, 0, -22, 0, 0, 0, 0, 0, -16, 0, 28, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 18, 0, 6, 0, 0, 0, 0, 0, -72, 0, 38, 0, 0, 0, 0, 0, 14, 0, -30, 0, 0, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -36, 0, 4, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -72, 0, -38, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -48, 0, 0, 0, 0, 0, 50, 0, -18, 0, 0, 0, 0, 0, 10, 0, -42, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -20, 0, -78, 0, 0, 0, 0, 0, 18, 0, 54, 0, 0, 0, 0, 0, 74, 0, -30, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 38, 0, 24, 0, 0, 0, 0, 0, 72, 0, 32, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 42, 0, -2, 0, 0, 0, 0, 0, -46, 0, 48, 0, 0, 0, 0, 0, -6, 0, 30, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 18, 0, -24, 0, 0, 0, 0, 0, -6, 0, -40, 0, 0, 0, 0, 0, -34, 0, 14, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -82, 0, 44, 0, 0, 0, 0, 0, 72, 0, -72, 0, 0, 0, 0, 0, 60, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, -60, 0, -8, 0, 0, 0, 0, 0, -72, 0, 48, 0, 0, 0, 0, 0, -28, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 24, 0, -18, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, -54, 0, 12, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -10, 0, 0, 0, 0, 0, 26, 0, 24, 0, 0, 0, 0, 0, -66, 0, -40, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -6, 0, 24, 0, 0, 0, 0, 0, -14, 0, -12, 0, 0, 0, 0, 0, 72, 0, -18, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -12, 0, 42, 0, 0, 0, 0, 0, -60, 0, -56, 0, 0, 0, 0, 0, 8, 0, -48, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 158, 0, 36, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -78, 0, -26, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -36, 0, 70, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -38, 0, 72, 0, 0, 0, 0, 0, 36, 0, -10, 0, 0, 0, 0, 0, 70, 0, 44, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 34, 0, 36, 0, 0, 0, 0, 0, -6, 0, -114, 0, 0, 0, 0, 0, -54, 0, 18, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 72, 0, 72, 0, 0, 0, 0, 0, 2, 0, -14, 0, 0, 0, 0, 0, -60, 0, 18, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 66, 0, 72, 0, 0, 0, 0, 0, 102, 0, 98, 0, 0, 0, 0, 0, -24, 0, -12, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 8, 0, -90, 0, 0, 0, 0, 0, 54, 0, 48, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -10, 0, 0, 0, 0, 0, -86, 0, 72, 0, 0, 0, 0, 0, 38, 0, 66, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, -40, 0, 18, 0, 0, 0, 0, 0, -72, 0, 2, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -10, 0, 6, 0, 0, 0, 0, 0, 48, 0, -144, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -42, 0, 90, 0, 0, 0, 0, 0, 38, 0, 20, 0, 0, 0, 0, 0, 42, 0, 48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -24, 0, 48, 0, 0, 0, 0, 0, 12, 0, -104, 0, 0, 0, 0, 0, 124, 0, -2, 0, 0, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 2, 0, 50, 0, 0, 0, 0, 0, 78, 0, -78, 0, 0, 0, 0, 0, -144, 0, 72, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 18, 0, 216, 0, 0, 0, 0, 0, 142, 0, -74, 0, 0, 0, 0, 0, -6, 0, 144, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -30, 0, 90, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 144, 0, -86, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 54, 0, 88, 0, 0, 0, 0, 0, -118, 0, -72, 0, 0, 0, 0, 0, -32, 0, 138, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 4, 0, -18, 0, 0, 0, 0, 0, -30, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, -96, 0, -42, 0, 0, 0, 0, 0, 2, 0, -120, 0, 0, 0, 0, 0, 30, 0, -22, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 54, 0, 48, 0, 0, 0, 0, 0, -98, 0, -12, 0, 0, 0, 0, 0, -30, 0, -54, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -94, 0, -72, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 80, 0, 36, 0, 0, 0, 0, 0, 24, 0, -6, 0, 0, 0, 0, 0, 42, 0, 110, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -132, 0, 46, 0, 0, 0, 0, 0, -24, 0, 34, 0, 0, 0, 0, 0, 28, 0, 216, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 30, 0, -72, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -68, 0, -6, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 20, 0, 82, 0, 0, 0, 0, 0, -110, 0, -42, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -144, 0, 28, 0, 0, 0, 0, 0, -54, 0, -60, 0, 0, 0, 0, 0, -8, 0, -6, 0, 0, 0, 0, 0, 0, 0, 130, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -84, 0, -48, 0, 0, 0, 0, 0, 144, 0, -100, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -90, 0, 60, 0, 0, 0, 0, 0, 8, 0, -30, 0, 0, 0, 0, 0, 72, 0, 120, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 18, 0, 70, 0, 0, 0, 0, 0, -66, 0, 72, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 90, 0, 82, 0, 0, 0, 0, 0, 34, 0, -20, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 48, 0, 48, 0, 0, 0, 0, 0, 18, 0, 72, 0, 0, 0, 0, 0, 12, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, -30, 0, -32, 0, 0, 0, 0, 0, 124, 0, 54, 0, 0, 0, 0, 0, 24, 0, -42, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 72, 0, -42, 0, 0, 0, 0, 0, 102, 0, 56, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, -76, 0, -72, 0, 0, 0, 0, 0, -20, 0, -72, 0, 0, 0, 0, 0, -72, 0, 34, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -144, 0, -8, 0, 0, 0, 0, 0, 122, 0, 66, 0, 0, 0, 0, 0, 40, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -150, 0, -114, 0, 0, 0, 0, 0, -144, 0, 110, 0, 0, 0, 0, 0, -72, 0, -36, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -58, 0, 6, 0, 0, 0, 0, 0, -24, 0, -216, 0, 0, 0, 0, 0, 186, 0, 4, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, -54, 0, 144, 0, 0, 0, 0, 0, 18, 0, 24, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 30, 0, 0, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, -76, 0, -24, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, -118, 0, 30, 0, 0, 0, 0, 0, -42, 0, -66, 0, 0, 0, 0, 0, -36, 0, -216, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 6, 0, 72, 0, 0, 0, 0, 0, -144, 0, -8, 0, 0, 0, 0, 0, 120, 0, 48, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, 0, 0, 6, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -70, 0, -158, 0, 0, 0, 0, 0, 72, 0, 72, 0, 0, 0, 0, 0, 96, 0, 70, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, -36, 0, 0, 0, 0, 0, 48, 0, 78, 0, 0, 0, 0, 0, 26, 0, 126, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 32, 0, -18, 0, 0, 0, 0, 0, 42, 0, 96, 0, 0, 0, 0, 0, -188, 0, -140, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 10, 0, 36, 0, 0, 0, 0, 0, -70, 0, 30, 0, 0, 0, 0, 0, -18, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 216, 0, -184, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, 0, 0, -144, 0, 18, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, -88, 0, -144, 0, 0, 0, 0, 0, 90, 0, 166, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 54, 0, -76, 0, 0, 0, 0, 0, -72, 0, 114, 0, 0, 0, 0, 0, -30, 0, -192, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -60, 0, -104, 0, 0, 0, 0, 0, -106, 0, -70, 0, 0, 0, 0, 0, 88, 0, -30, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, 0, 0, 24, 0, -78, 0, 0, 0, 0, 0, -216, 0, 64, 0, 0, 0, 0, 0, 86, 0, 78, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 88, 0, -34, 0, 0, 0, 0, 0, -90, 0, -120, 0, 0, 0, 0, 0, -126, 0, -96, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 216, 0, 54, 0, 0, 0, 0, 0, -18, 0, 138, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 144, 0, -168, 0, 0, 0, 0, 0, 174, 0, -2, 0, 0, 0, 0, 0, 48, 0, -76, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 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, 8, 4, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "1600.2.d.e", "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], [-1, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-2, 0], [0, 0], [3, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, 3], [0, 0], [0, 2], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, 1], [0, 0], [9, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [5, 0], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [-12, 0], [0, 0], [0, -1], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [-11, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [7, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, -3], [0, 0], [1, 0], [0, 0], [-15, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [3, 0], [0, 0], [12, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [-14, 0], [0, 0], [-6, 0], [0, 0]]}