# Stored data for newform 8450.2.a.bt, downloaded from the LMFDB on 25 April 2024. {"label": "8450.2.a.bt", "space_label": "8450.2.a", "level": 8450, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265235202, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 701900382035674809, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, -4, 0, 1]], [7, [5, 3, -5, 1]], [11, [-31, -27, 3, 1]], [17, [2, 2, -4, 1]], [31, [-218, -58, 6, 1]]], "qexp_display": "q-q^{2}-\\beta _{2}q^{3}+q^{4}+\\beta _{2}q^{6}+(2-\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33800, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 67.47358970798193, "hecke_ring_index": 1, "level_radical": 130, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [8450, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 13], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.078", "prec": 17}, {"__RealLiteral__": 0, "data": "2.816", "prec": 17}, {"__RealLiteral__": 0, "data": "0.425", "prec": 17}, {"__RealLiteral__": 0, "data": "20.886", "prec": 20}, {"__RealLiteral__": 0, "data": "7.099", "prec": 17}, {"__RealLiteral__": 0, "data": "227.957", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [13, 1]], "trace_display": [-3, 0, 0, 5], "traces": [0, 3, -3, 0, 3, 0, 0, 5, -3, -1, 0, -3, 0, 0, -5, 0, 3, 4, 1, 13, 0, 6, 3, 0, 0, 0, 0, 6, 5, -14, 0, -6, -3, 6, -4, 0, -1, 5, -13, 0, 0, -2, -6, 6, -3, 0, 0, 7, 0, -2, 0, 2, 0, 9, -6, 0, -5, 4, 14, -8, 0, 4, 6, 9, 3, 0, -6, 12, 4, 14, 0, 20, 1, 6, -5, 0, 13, -19, 0, -14, 0, -13, 2, 4, 6, 0, -6, -20, 3, -7, 0, 0, 0, 26, -7, 0, 0, 26, 2, -13, 0, -2, -2, -31, 0, 0, -9, 0, 6, 0, 0, -20, 5, -42, -4, 0, -14, 0, 8, 2, 0, 30, -4, 26, -6, 0, -9, 3, -3, 0, 0, -19, 6, 37, -12, 0, -4, 18, -14, -5, 0, -6, -20, 0, -1, 0, -6, 28, 5, 18, 0, -20, -13, -6, 19, 0, 0, 7, 14, -10, 0, -8, 13, 8, -2, 0, -4, 15, -6, 0, 0, 11, 6, 39, 20, 0, -3, -8, 7, -4, 0, 12, 0, 32, 0, 0, -26, 16, 7, -2, 0, 4, 0, 42, -26, 0, -2, 5, 13, 14, 0, 16, 2, -26, 2, 0, 31, -8, 0, -47, 0, 3, 9, 36, 0, 0, -6, 28, 0, 42, 0, 0, 20, 67, -5, 0, 42, -4, 4, -40, 0, 12, 14, -58, 0, 0, -8, 22, -2, -14, 0, 27, -30, -32, 4, 0, -26, 0, 6, -44, 0, 15, 9, 66, -3, 0, 3, -14, 0, -19, 0, 2, 19, 41, -6, 0, -37, -10, 12, -22, 0, -20, 4, 0, -18, 0, 14, -33, 5, 40, 0, 14, 6, 18, 20, 0, 0, 10, 1, -39, 0, -18, 6, 9, -28, 0, -5, -18, -18, 0, 0, 10, 20, 16, 13, 0, 6, 2, -19, -8, 0, 24, 0, 26, -7, 0, -14, 5, 10, -38, 0, -8, 8, 6, -13, 0, -8, 12, 2, 1, 0, 8, 4, -29, -15, 0, 6, 2, 0, 0, 0, -30, -11, -5, -6, 0, -39, -40, -20, 2, 0, 0, 3, 54, 8, 0, -7, 14, 4, 26, 0, 26, -12, -78, 0, 0, -32, 16, 0, 14, 0, -11, 26, -18, -16, 0, -7, 0, 2, 11, 0, 20, -4, 32, 0, 0, -42, -2, 26, 4, 0, 22, 2, 48, -5, 0, -13, -29, -14, 38, 0, -47, -16, 0, -2, 0, 26, 17, -2, 5, 0, 38, -31, -44, 8, 0, 0, -44, 47, 30, 0, 4, -3, -13, -9, 0, -36, 6, 0, 0, 0, 34, 6, -14, -28, 0, 0, -30, -42, 32, 0, 34, 0, 8, -20, 0, -67, -48, 5, 25, 0, 40, -42, -34, 4, 0, -4, 80, 40, 4, 0, 64, -12, -32, -14, 0, 58, -48, 0, 32, 0, -26, 8, -6, -22, 0, 2, -29, 14, -36, 0, 0, -27, 42, 30, 0, 32, 3, -4, 24, 0, -9, 26, -36, 0, 0, -6, 48, 44, -30, 0, -8, -15, -7, -9, 0, -66, 0, 3, 82, 0, 60, -3, 18, 14, 0, 0, 7, 19, 40, 0, -41, -2, 24, -19, 0, -41, -20, 6, 11, 0, -28, 37, 0, 10, 0, -12, 20, 22, -14, 0, -24, 20, 24, -4, 0, 0, 74, 18, -2, 0, -46, -14, 24, 33, 0, -5, 17, -40, 0, 0, -16, -14, 26, -6, 0, -18, -63, -20, 7, 0, 33, 0, 38, -10, 0, -1, 72, 39, 0, 0, -14, 18, 39, -6, 0, -9, -4, 28, 24, 0, 42, 5, -26, 18, 0, 18, -16, 0, 68, 0, -21, -10, 8, -20, 0, -16, 15, -13, -88, 0, 0, -6, 29, -2, 0, 19, 52, 8, 57, 0, -28, -24, -13, 0, 0, -26, 52, 7, 14, 0, 6, 14, 10, -5, 0, -10, 0, 38, 8, 0, 25, 8, 14, -8, 0, -6, 7, 13, 76, 0, 66, 8, 23, -12, 0, -2, 48, -1, 46, 0, -58, -8, 0, -4, 0, 29, -72, 15, -6, 0, 94, -6, 40, -2, 0, 0, 26, 0, 36, 0, -36, 30, 4, 11, 0, 5, 8, 6, 0, 0, 15, 39, 3, 40, 0, 20, 10, -2, 14, 0, 44, 0, -13, -3, 0, -54, -16, -8, 40, 0, 52, 7, -10, -14, 0, -4, -22, -26, 50, 0, -33, -26, 2, 12, 0, 78, -19, 0, 11, 0, 8, 32, 53, -16, 0, 0, 0, -14, -27, 0, 0, 11, -16, -26, 0, 18, -22, 16, -6, 0, 68, 7, 4, 0, 0, -2, -49, -11, -94, 0, -55, -20, -28, 4, 0, -32, 0, 0, -14, 0, 40, 42, 39, 2, 0, -26, -50, -4, -8, 0, 44, -22, 12, -2, 0, -48, -16, 5, -78, 0, -70, 13, 0, 29, 0, 14, 84, -38, 14, 0, 1, 47, -30, 16, 0, 0, -24, 2, -30, 0, -49, -26, -64, -17, 0, 2, 26, -5, 0, 0, 122, -38, -31, 31, 0, 44, 20, -8, -34, 0, 28, 0, -8, 44, 0, -47, -64, -30, 2, 0, 53, -4, 30, 3, 0, 13, 10, 9, -4, 0, 2, 36, 8, -6, 0, 0, 42, 0, 13, 0, 74, -34, 8, -6, 0, 14, -2, 28, -62, 0, 0, 0, -16, 30, 0, 42, -22, -32, 46, 0, 11, -34, 50, 0, 0, -8, -71, 20, 57, 0, 95, 67, 15, 48, 0, -5, 0, -25, 0, 0, 28, -40, 12, 42, 0, 34, 82, -4, -12, 0, 2, 4, -74, -80, 0, -40, 29, -4, 62, 0, -56, -64, 0, 12, 0, 32, 29, 14, -106, 0, 30, -58, -58, 48, 0, 0, -20, -32, 60, 0, -18, 26, 64, -8, 0, 6, -68, 22, 0, 0, -64, -2, 40, 29, 0, -14, 64, 36, 40, 0, 59, 0, -6, 27, 0, -42, 55, -30, 24, 0, -75, -32, -29, -3, 0, 4, -34, -24, -19, 0, -28, 9, 69, -26, 0, 36, -4, 0, 0, 0, 44, 6, -88, -48, 0, -44, -9, 30, 50, 0, 0, 8, 12, 15, 0, 7, -3, 9, -1, 0, 10, 66, -48, 0, 0, -3, 14, -82, -44, 0, 6, -60, -28, 3, 0, -18, 0, -14, 38, 0, 40, 0, -20, -7, 0, -19, 38, -40, -10, 0, 64, 41, -6, 2, 0, -24, -24, 19, -21, 0, 16, 41, 0, 20, 0, -6, -102, -11, -38, 0, -2, 28, -4, -37, 0, 0, -58, -10, 12, 0, 16, 12, 2, -20, 0, -22, -12, 14, 0, 0, 8, 24, 30, -20, 0, -24, 32, 4, -50, 0, -59, 0, -33, -74, 0, -18, -34, 2, 23, 0, 52, 46, 3, 14, 0, -24, -56, -33, -60, 0, 88, 5, -12, -17, 0, 40, 39, 0, 52, 0, -88, 16, 42, 14, 0, -26, 12, 6, -67, 0, 0, 18, -49, 63, 0, 20, -30, -7, 20, 0, -18, -33, 51, 0, 0, -38, -112, 10, 110, 0, -100, 1, 64, -72, 0, -39, 0, 0, -16, 0, 12, 14, -76, -18, 0, -39, -64, 6, 93, 0, -51, 9, -8, 4, 0, -28, -6, -24, 67, 0, -64, -42, 0, -5, 0, 26, 40, -18, -68, 0, -46, -18, 106, 16, 0, 0, 47, -68, 120, 0, 50, 21, 62, 10, 0, -8, 48, 20, 0, 0, 95, 16, -23, -15, 0, 13, 54, 88, 38, 0, 28, 0, 32, 6, 0, -29, 18, 2, 60, 0, 44, -19, 4, -52, 0, -8, 14, -57, -40, 0, 0, 28, 42, 24, 0, 13, -28, 0, 83, 0, -19, 26, -4, -52, 0, -7, 22, -14, 19, 0, 0, -6, -84, -14, 0, -10, 38, 5, 26, 0, 70, 10, 60, 0, 0, -38, -2, -8, -52, 0, 104, -25, 22, -8, 0, -14, 0, 8, 97, 0, 19, 6, -110, -7, 0, -13, 18, -76, -12, 0, -80, -66, -29, -8, 0, -23, 114, 12, -10, 0, 106, 2, 0, -48, 0, 1, 98, -46, 20, 0, 51, 58, -60, 8, 0, 0, 56, 4, -116, 0, -111, -29, -12, 72, 0, -15, 66, 6, 0, 0, -42, -94, -44, 6, 0, -40, -66, 2, 80, 0, 70, 0, -94, -26, 0, 0, 60, -36, -62, 0, -97, 36, -30, -30, 0, -4, -69, -11, -28, 0, 18, -5, 19, -8, 0, -6, 10, 0, 9, 0, -36, -15, -16, -39, 0, -3, 84, -40, -58, 0, 0, -20, -38, -10, 0, 2, -99, -14, 30, 0, -4, -44, 130, 0, 0, 13, 72, 3, 39, 0, -18, 54, 9, 16, 0, 8, 0, -40, 12, 0, -36, -52, -52, -7, 0, 10, -48, 14, -30, 0, 38, 4, -88, 22, 0, 26, -6, -50, -2, 0, -19, 33, 0, 26, 0, -2, -52, -12, 28, 0, 17, -78, -27, 19, 0, 0, -52, -11, 37, 0, 60, -8, -101, -32, 0, -53, -34, 16, 0, 0, -34, 0, -58, 0, 0, 14, 31, 27, -12, 0, -41, 0, -66, -11, 0, 16, -73, 26, 38, 0, 148, -18, -14, 22, 0, -16, -94, 6, 127, 0, 12, -68, 63, -7, 0, -4, 66, 0, -48, 0, 28, 2, -18, 49, 0, 11, -56, 94, 132, 0, 0, 55, -148, 20, 0, 28, -4, -4, -65, 0, -132, 32, 138, 0, 0, 0, -54, 14, -125, 0, 28, -40, 87, -42, 0, -39, 0, -2, -130, 0, 12, 26, -84, 50, 0, 4, 17, 8, -64, 0, 101, -44, -80, 22, 0, -12, -20, 2, -52, 0, -77, 48, 0, 16, 0, -5, 20, 78, 145, 0, 34, 70, 7, -13, 0, 0, -88, -29, -120, 0, 10, -14, 0, -84, 0, 38, -42, -14, 0, 0, 39, -1, -110, -47, 0, 30, 11, -16, -86, 0, 4, 0, 63, 24, 0, -2, -44, 30, -133, 0, -74, 49, -84, 26, 0, 64, 128, 17, 14, 0, -80, -2, 100, -26, 0, 5, 11, 0, -54, 0, -48, -122, -106, 38, 0, 31, -56, -31, 24, 0, 0, -44, -156, -20, 0, 8, 18, 34, 38, 0, 124, -28, 77, 0, 0, 8, 50, -44, 52, 0, -102, 47, 28, 64, 0, 30, 0, -2, 18, 0, -31, -53, -42, 4, 0, -30, 65, -3, 8, 0, -23, -13, -100, -10, 0, -9, -98, 4, 90, 0, -62, -2, 0, -36, 0, -8, -76, 6, 40, 0, 8, 0, 42, -42, 0, 0, 26, -13, 58, 0, -17, -74, -120, 34, 0, -8, -119, 6, 0, 0, 34, -14, -10, 2, 0, -28, -14, 62, 39, 0, -16, 0, -124, 0, 0, 16, 98, -30, -10, 0, -68, -42, 64, 22, 0, 32, -9, -46, 14, 0, 48, -11, -4, 34, 0, -50, 136, 0, -148, 0, 58, 8, -1, 71, 0, -20, 92, -57, 12, 0, 0, -95, -8, -67, 0, -15, -18, -48, -30, 0, -66, 5, 158, 0, 0, 25, -44, 0, -18, 0, 38, -28, 52, 40, 0, -12, 0, -42, -8, 0, -8, -34, -98, -82, 0, 4, -54, 12, -2, 0, -80, -2, -139, -4, 0, 74, -82, 80, -84, 0, 42, 40, 0, -29, 0, 4, -243, -62, 100, 0, -21, 56, 116, 64, 0, 0, -20, -12, -117, 0, -44, -32, 40, -29, 0, -14, 6, 106, 0, 0, -150, -30, 68, 58, 0, 58, 98, -48, -44, 0, 98, 0, 2, 20, 0, 32, -73, -60, -78, 0, -7, 18, -104, -26, 0, -64, -24, 8, 57, 0, 22, -6, -16, 68, 0, -22, -32, 0, 25, 0, -90, 64, -9, 2, 0, -40, 60, -29, -114, 0, 0, 14, -88, -64, 0, -36, -32, -40, -50, 0, -56, -59, 14, 0, 0, 6, -18, -27, 24, 0, 15, 42, 90, -55, 0, 30, 0, -24, 3, 0, 62, 75, -96, 32, 0, 29, -68, 3, 130, 0, 14, -4, 34, 34, 0, 24, -89, 19, 42, 0, 77, 28, 0, -9, 0, -69, 126, 26, 56, 0, -72, -36, -93, 4, 0, 0, -22, 0, 78, 0, -10, -44, 36, -6, 0, 88, 96, 48, 0, 0, 6, 44, -130, 9, 0, -30, -192, -50, -42, 0, 4, 0, -138, -8, 0, -12, -33, -15, 80, 0, 72, -7, -154, 3, 0, -9, 14, 1, 44, 0, 14, -10, -85, -66, 0, 48, 106, 0, -76, 0, 80, 3, -4, -14, 0, 82, -2, 44, 60, 0, 0, -6, -112, 60, 0, 28, -36, -3, -128, 0, 105, 18, 61, 0, 0, 14, 2, -38, -208, 0, -30, -40, 87, 0, 0, 20, 0, 7, -24, 0, -68, 19, -108, -38, 0, 40, 28, 10, -62, 0, -157, -64, 14, -41, 0, 6, 131, -2, -109, 0, 12, 24, 0, 24, 0, -19, 36, 21, -4, 0, -68, -16, -40, -41, 0, 0, -4, -20, -106, 0, 78, 6, -60, 102, 0, 11, -96, 38, 0, 0, 44, 2, -42, -28, 0, 4, -24, 37, 94, 0, -204, 0, -72, 58, 0, 10, 0, -12, 20, 0, -50, -16, 48, -12, 0, -2, -182, 20, -14, 0, 56, 22, -10, 12, 0, -14, -32, 0, -28, 0, -74, -8, -86, -24, 0, -30, 119, 20, 11, 0, 0, 24, -20, -32, 0, -4, -22, 50, 24, 0, -102, 59, 56, 0, 0, 33, 44, 74, 122, 0, 2, 18, 4, 34, 0, -2, 0, -23, -148, 0, 40, -52, 34, -46, 0, -3, -87, -14, -114, 0, -20, 24, -10, 56, 0, 33, 84, 60, -15, 0, 76, -88, 0, -5, 0, 12, -38, 17, -66, 0, -50, -40, 34, -39, 0, 0, -113, -52, 66, 0, 96, 88, 64, -16, 0, -42, -24, -14, 0, 0, -72, 26, 32, -12, 0, -6, -24, 67, -39, 0, 28, 0, 180, -18, 0, 49, -46, -63, -2, 0, -104, -20, 22, 30, 0, 7, -74, -20, 18, 0, 41, 18, -36, 33, 0, -51, 47, 0, 36, 0, 72, 38, -71, 112, 0, -10, -96, -110, 128, 0, 0, 100, -38, -1, 0, -64, 10, 72, -116, 0, 42, 39, 10, 0, 0, 0, -28, 16, 94, 0, -51, -12, 102, -14, 0, 76, 0, 18, 52, 0, -25, 39, 57, 64, 0, -6, 166, -93, -45, 0, 28, 51, -96, -9, 0, 8, -124, -4, 34, 0, 108, 28, 0, 6, 0, 24, 13, -67, -20, 0, -112, 64, -30, 42, 0, 0, -103, 5, -88, 0, -71, -26, -84, -40, 0, 18, -100, 68, 0, 0, 70, 46, -143, 18, 0, -106, 40, -16, -110, 0, -78, 0, -164, -47, 0, 68, -6, -120, -132, 0, -9, -50, 6, -21, 0, -62, 116, -10, -48, 0, -89, 8, 97, -48, 0, -20, 42, 0, 4, 0, -60, -95, 53, -16, 0, 23, 14, 15, 6, 0, 0, -13, -8, -54, 0, -88, -21, -38, 8, 0, 9, -28, -64, 0, 0, -32, 72, -6, 192, 0, 8, 29, -53, -18, 0, -2, 0, -60, 121, 0, -14, -44, 4, 19, 0, -4, -82, 52, 24, 0, 80, 8, -64, -14, 0, 57, -28, 40, -20, 0, 44, 0, 0, -28, 0, -42, -84, -24, -9, 0, 47, -13, 69, 28, 0, 0, 236, -83, 32, 0, 126, 19, -85, -26, 0, 4, 132, 52, 0, 0, -112, 7, 22, -22, 0, 14, -10, -19, 194, 0, -98, 0, 144, 6, 0, 84, 146, 14, 98, 0, 100, 10, 12, -38, 0, -5, -16, -26, -95, 0, -174, -70, 0, -10, 0, -60, -46, 0, -170, 0, 20, 38, -6, 2, 0, 8, 134, 52, 158, 0, 0, -104, 50, 25, 0, -22, 8, 8, 4, 0, 34, 14, -114, 0, 0, -8, -110, -97, -31, 0, 70, -19, 46, -6, 0, 110, 0, 7, -110, 0, -22, 13, 36, -18, 0, 76, -78, 12, 0, 0, -7, 80, 60, 66, 0, 29, 4, 8, -121, 0, 46, 23, 0, -114, 0, -12, -56, 10, 88, 0, -30, -106, 8, -2, 0, 0, -32, 48, -206, 0, -20, -1, 128, -98, 0, 46, 87, -20, 0, 0, -19, -51, 56, -58, 0, 60, 151, -8, -84, 0, -81, 0, 39, -56, 0, -4, -106, 116, -7, 0, -50, 111, -151, 29, 0, 12, 66, -72, -28, 0, 62, 15, -26, -66, 0, -6, -26, 0, -22, 0, 68, 42, 118, 94, 0, 44, -72, -6, 27, 0, 0, 40, 35, 66, 0, -2, -164, -80, -69, 0, -132, -70, -20, 0, 0, 94, -198, 26, 18, 0, -110, 0, -58, -60, 0, 36, 0, 62, -94, 0, -72, 97, -66, -36, 0, 30, -36, 30, -154, 0, -30, 4, -40, 69, 0, 11, 6, 28, 166, 0, 66, -18, 0, 5, 0, -19, 44, 8, -44, 0, 106, 6, -16, -10, 0, 0, -48, -9, 0, 0, 99, 36, -18, 15, 0, 16, -72, 39, 0, 0, 66, 3, 12, -84, 0, 40, 32, 58, -89, 0, -46, 0, -192, 20, 0, 38, -112, 10, 2, 0, 48, -2, 160, 99, 0, 14, -18, -30, -70, 0, -75, 4, 10, 44, 0, -130, -1, 0, -64, 0, -8, -13, -64, -72, 0, -3, -50, -39, 23, 0, 0, 18, 12, -54, 0, -9, 118, -16, -60, 0, 54, -8, 72, 0, 0, 40, 89, -12, -56, 0, 28, 36, -16, 52, 0, 52, 0, 7, -37, 0, -149, -10, -25, 48, 0, -14, 204, 30, -158, 0, 14, -38, -9, -4, 0, 88, 10, -22, -190, 0, 110, -26, 0, 6, 0, 50, 150, 2, -8, 0, 24, 19, 38, -33, 0, 0, 7, -26, 16, 0, -72, 2, -7, 52, 0, 12, -46, -28, 0, 0, -56, -17, 28, 78, 0, 27, 16, -19, -96, 0, 116, 0, 10, 52, 0, 11, 161, -37, -142, 0, -76, -60, -140, 8, 0, 101, -139, 32, -80, 0, -52, 53, -26, 34, 0, -16, 32, 0, -9, 0, 62, 34, -24, 0, 0, 58, -118, 0, -14, 0, 0, -14, 6, -31, 0, -27, 1, 12, 152, 0, 9, 41, 52, 0, 0, 66, 28, 11, 151, 0, 57, -16, -72, 73, 0, -26, 0, -38, -44, 0, -176, -148, 79, 18, 0, 14, 214, -22, 60, 0, -34, 16, 114, 94, 0, -6, 75, -127, 98, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "130.2.n.a", "char_is_minimal": true, "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, 0], [1, 0, 0], [-1, 0, 0], [0, 0, -1], [1, 0, 0], [0, 0, 0], [0, 0, 1], [2, -1, -1], [-1, 0, 0], [0, -1, -1], [0, 0, 0], [-2, 3, 0], [0, 0, -1], [0, 0, 0], [-2, 1, 1], [0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 1], [5, -2, -1], [0, 0, 0], [2, 0, -3], [2, -3, 0], [-1, 3, -1], [0, 0, 1], [0, 0, 0], [0, 0, 0], [2, 0, 2], [2, -1, -1], [-4, -2, 2], [0, 0, 0], [-1, -3, -4], [-1, 0, 0], [3, -3, 2], [-1, -1, 0], [0, 0, 0], [0, -1, -1], [1, 2, 3], [-5, 2, 1], [0, 0, 0], [0, 0, 0], [-1, 1, -3], [-2, 0, 3], [2, 0, 0], [-2, 3, 0], [0, 0, 0], [1, -3, 1], [2, 1, 1], [0, 0, -1], [0, -2, -4], [0, 0, 0], [1, -1, -1], [0, 0, 0], [2, 3, 2], [-2, 0, -2], [0, 0, 0], [-2, 1, 1], [1, 1, -6], [4, 2, -2], [-4, 4, 2], [0, 0, 0], [0, 4, -3], [1, 3, 4], [3, 0, -2], [1, 0, 0], [0, 0, 0], [-3, 3, -2], [4, 0, -2], [1, 1, 0], [6, -4, 0], [0, 0, 0], [6, 2, -4], [0, 1, 1], [3, -3, -6], [-1, -2, -3], [0, 0, 0], [5, -2, -1], [-7, 2, -1], [0, 0, 0], [-3, -5, -4], [0, 0, 0], [-6, 5, 3], [1, -1, 3], [2, -2, 5], [2, 0, -3], [0, 0, 0], [-2, 0, 0], [-8, 4, 6], [2, -3, 0], [-2, -1, 1], [0, 0, 0], [0, 0, 0], [-1, 3, -1], [9, -1, -3], [-2, -1, -1], [0, 0, 0], [0, 0, 1], [9, -1, 2], [0, 2, 4], [-3, -4, -1], [0, 0, 0]]}