# Stored data for newform 8450.2.a.bu, downloaded from the LMFDB on 25 April 2024.
{"label": "8450.2.a.bu", "space_label": "8450.2.a", "level": 8450, "weight": 2, "hecke_orbit": 47, "hecke_orbit_code": 207165582892605698, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 1138815325593971465, "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": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "2.816", "prec": 17}, {"__RealLiteral__": 0, "data": "0.507", "prec": 17}, {"__RealLiteral__": 0, "data": "20.886", "prec": 20}, {"__RealLiteral__": 0, "data": "4.367", "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]]}