# Stored data for newform 8046.2.a.p, downloaded from the LMFDB on 16 April 2024.
{"label": "8046.2.a.p", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444119918, "dim": 12, "is_polredabs": true, "trace_hash": 272565956134821054, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-553, -224, 4805, -3333, -4461, 4323, 607, -1302, 104, 142, -23, -5, 1]], [11, [11955, -100248, 199929, -102673, -45816, 45905, -277, -6139, 679, 326, -49, -6, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta _{1}q^{5}+(1-\\beta _{5})q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32184, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 64.2476334663222, "hecke_ring_index": 1, "level_radical": 894, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8046, 1, [299, 3727], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 149], "conrey_indexes": [1], "field_disc": 6513699510086430554361, "field_disc_factorization": [[3, 3], [7, 1], [25117, 1], [1372139131738897, 1]], "field_poly": [-553, -224, 4805, -3333, -4461, 4323, 607, -1302, 104, 142, -23, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.112", "prec": 17}, {"__RealLiteral__": 0, "data": "8.999", "prec": 17}, {"__RealLiteral__": 0, "data": "3.003", "prec": 17}, {"__RealLiteral__": 0, "data": "239.323", "prec": 24}, {"__RealLiteral__": 0, "data": "37.490", "prec": 20}, {"__RealLiteral__": 0, "data": "10908.369", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [149, 1]], "trace_display": [12, 0, 5, 6], "traces": [0, 12, 12, 0, 12, 5, 0, 6, 12, 0, 5, 6, 0, 3, 6, 0, 12, 6, 0, 8, 5, 0, 6, 11, 0, 11, 3, 0, 6, 29, 0, 2, 12, 0, 6, 4, 0, 5, 8, 0, 5, 22, 0, 9, 6, 0, 11, 15, 0, 14, 11, 0, 3, 12, 0, 13, 6, 0, 29, 34, 0, -4, 2, 0, 12, 12, 0, 1, 6, 0, 4, 21, 0, -2, 5, 0, 8, 34, 0, 9, 5, 0, 22, 10, 0, 5, 9, 0, 6, -2, 0, 17, 11, 0, 15, 69, 0, -13, 14, 0, 11, 12, 0, 19, 3, 0, 12, 35, 0, 17, 13, 0, 6, 26, 0, 22, 29, 0, 34, 38, 0, 2, -4, 0, 2, -6, 0, 49, 12, 0, 12, 61, 0, 11, 1, 0, 6, 2, 0, -17, 4, 0, 21, 0, 0, -7, -2, 0, 5, -12, 0, -26, 8, 0, 34, 36, 0, 1, 9, 0, 5, 53, 0, 26, 22, 0, 10, 37, 0, -21, 5, 0, 9, 32, 0, -20, 6, 0, -2, 30, 0, 14, 17, 0, 11, 79, 0, 11, 15, 0, 69, 33, 0, -54, -13, 0, 14, -9, 0, 17, 11, 0, 12, 57, 0, -37, 19, 0, 3, 27, 0, -4, 12, 0, 35, -20, 0, 20, 17, 0, 13, 68, 0, -30, 6, 0, 26, 14, 0, -15, 22, 0, 29, 42, 0, 50, 34, 0, 38, 79, 0, -22, 2, 0, -4, -8, 0, -5, 2, 0, -6, -21, 0, 24, 49, 0, 12, 52, 0, -46, 12, 0, 61, -15, 0, -78, 11, 0, 1, 15, 0, 17, 6, 0, 2, 33, 0, -21, -17, 0, 4, 53, 0, -24, 21, 0, 0, -33, 0, 30, -7, 0, -2, 51, 0, -58, 5, 0, -12, 81, 0, -19, -26, 0, 8, -33, 0, 59, 34, 0, 36, 27, 0, -72, 1, 0, 9, 18, 0, 1, 5, 0, 53, -14, 0, 11, 26, 0, 22, 70, 0, -38, 10, 0, 37, 18, 0, -4, -21, 0, 5, 9, 0, 30, 9, 0, 32, 73, 0, -28, -20, 0, 6, 13, 0, -33, -2, 0, 30, -23, 0, 34, 14, 0, 17, 76, 0, -41, 11, 0, 79, -6, 0, -20, 11, 0, 15, -7, 0, 68, 69, 0, 33, 4, 0, -134, -54, 0, -13, 20, 0, 19, 14, 0, -9, -54, 0, 30, 17, 0, 11, 102, 0, -3, 12, 0, 57, 34, 0, -84, -37, 0, 19, -103, 0, -15, 3, 0, 27, 75, 0, -51, -4, 0, 12, 16, 0, -51, 35, 0, -20, 47, 0, -1, 20, 0, 17, 36, 0, -52, 13, 0, 68, 33, 0, 34, -30, 0, 6, 13, 0, -7, 26, 0, 14, 65, 0, -80, -15, 0, 22, -5, 0, 26, 29, 0, 42, -114, 0, -3, 50, 0, 34, 87, 0, -122, 38, 0, 79, 110, 0, -26, -22, 0, 2, 51, 0, 80, -4, 0, -8, 85, 0, -66, -5, 0, 2, 1, 0, -16, -6, 0, -21, -6, 0, 36, 24, 0, 49, 17, 0, -44, 12, 0, 52, 14, 0, -68, -46, 0, 12, -47, 0, 0, 61, 0, -15, 87, 0, -127, -78, 0, 11, -37, 0, 5, 1, 0, 15, 2, 0, -25, 17, 0, 6, 82, 0, -8, 2, 0, 33, 19, 0, -119, -21, 0, -17, 4, 0, 6, 4, 0, 53, 93, 0, -65, -24, 0, 21, 38, 0, 5, 0, 0, -33, -40, 0, -24, 30, 0, -7, 88, 0, -81, -2, 0, 51, -4, 0, -47, -58, 0, 5, -43, 0, -5, -12, 0, 81, 52, 0, -173, -19, 0, -26, 7, 0, -21, 8, 0, -33, -55, 0, 98, 59, 0, 34, 54, 0, -51, 36, 0, 27, 80, 0, -38, -72, 0, 1, 1, 0, 28, 9, 0, 18, 34, 0, -174, 1, 0, 5, -9, 0, -9, 53, 0, -14, -55, 0, 24, 11, 0, 26, 77, 0, -70, 22, 0, 70, 35, 0, -56, -38, 0, 10, -11, 0, 91, 37, 0, 18, 111, 0, -160, -4, 0, -21, -56, 0, -22, 5, 0, 9, -35, 0, -12, 30, 0, 9, 37, 0, -116, 32, 0, 73, -38, 0, -104, -28, 0, -20, 69, 0, 88, 6, 0, 13, 43, 0, -159, -33, 0, -2, -36, 0, -46, 30, 0, -23, 12, 0, -101, 34, 0, 14, 88, 0, -88, 17, 0, 76, 37, 0, -58, -41, 0, 11, -33, 0, 46, 79, 0, -6, 41, 0, -5, -20, 0, 11, 23, 0, -9, 15, 0, -7, 41, 0, 17, 68, 0, 69, 4, 0, -22, 33, 0, 4, -116, 0, -93, -134, 0, -54, -91, 0, 56, -13, 0, 20, 74, 0, -139, 19, 0, 14, -17, 0, 20, -9, 0, -54, -49, 0, -153, 30, 0, 17, 45, 0, -111, 11, 0, 102, 37, 0, -51, -3, 0, 12, 72, 0, -56, 57, 0, 34, 56, 0, -94, -84, 0, -37, 4, 0, 64, 19, 0, -103, -54, 0, 126, -15, 0, 3, 4, 0, -74, 27, 0, 75, 60, 0, -29, -51, 0, -4, -104, 0, 59, 12, 0, 16, 46, 0, -105, -51, 0, 35, -91, 0, 40, -20, 0, 47, -100, 0, -13, -1, 0, 20, 24, 0, -218, 17, 0, 36, -15, 0, -58, -52, 0, 13, -32, 0, 36, 68, 0, 33, 137, 0, -182, 34, 0, -30, 4, 0, -15, 6, 0, 13, -68, 0, -66, -7, 0, 26, 31, 0, -114, 14, 0, 65, 96, 0, 47, -80, 0, -15, 16, 0, -39, 22, 0, -5, -15, 0, -204, 26, 0, 29, -71, 0, 95, 42, 0, -114, -111, 0, 56, -3, 0, 50, 53, 0, -98, 34, 0, 87, -68, 0, -39, -122, 0, 38, 34, 0, 7, 79, 0, 110, 123, 0, -256, -26, 0, -22, -124, 0, 45, 2, 0, 51, 18, 0, -64, 80, 0, -4, -23, 0, -153, -8, 0, 85, -15, 0, -137, -66, 0, -5, 95, 0, 1, 2, 0, 1, 42, 0, -125, -16, 0, -6, -146, 0, 7, -21, 0, -6, -155, 0, -90, 36, 0, 24, 109, 0, -56, 49, 0, 17, -4, 0, -27, -44, 0, 12, -36, 0, 102, 52, 0, 14, 22, 0, -198, -68, 0, -46, -192, 0, 18, 12, 0, -47, -6, 0, 26, 0, 0, 61, 77, 0, -76, -15, 0, 87, -57, 0, -51, -127, 0, -78, -154, 0, -42, 11, 0, -37, 39, 0, -142, 5, 0, 1, -87, 0, 50, 15, 0, 2, 97, 0, -33, -25, 0, 17, 35, 0, -29, 6, 0, 82, -27, 0, -55, -8, 0, 2, 0, 0, 127, 33, 0, 19, 109, 0, -183, -119, 0, -21, -93, 0, -3, -17, 0, 4, -140, 0, 42, 6, 0, 4, 87, 0, 4, 53, 0, 93, 12, 0, 17, -65, 0, -24, -83, 0, 168, 21, 0, 38, -76, 0, -156, 5, 0, 0, -29, 0, 32, -33, 0, -40, -18, 0, 9, -24, 0, 30, 87, 0, 16, -7, 0, 88, -55, 0, -151, -81, 0, -2, 44, 0, -75, 51, 0, -4, -38, 0, -111, -47, 0, -58, -177, 0, 2, 5, 0, -43, -25, 0, 20, -5, 0, -12, -39, 0, -87, 81, 0, 52, -14, 0, -48, -173, 0, -19, -60, 0, 48, -26, 0, 7, 98, 0, 2, -21, 0, 8, -217, 0, 57, -33, 0, -55, -156, 0, -69, 98, 0, 59, -7, 0, -252, 34, 0, 54, 25, 0, 132, -51, 0, 36, 7, 0, 126, 27, 0, 80, 34, 0, -132, -38, 0, -72, -199, 0, 200, 1, 0, 1, -41, 0, -9, 28, 0, 9, -114, 0, -5, 18, 0, 34, -51, 0, -135, -174, 0, 1, -111, 0, 35, 5, 0, -9, 8, 0, -116, -9, 0, 53, 25, 0, 53, -14, 0, -55, -121, 0, -71, 24, 0, 11, -38, 0, -96, 26, 0, 77, -206, 0, -152, -70, 0, 22, 48, 0, 260, 70, 0, 35, 99, 0, -149, -56, 0, -38, -119, 0, 217, 10, 0, -11, -12, 0, 2, 91, 0, 37, -29, 0, -105, 18, 0, 111, -25, 0, 10, -160, 0, -4, 83, 0, -42, -21, 0, -56, 2, 0, -104, -22, 0, 5, -15, 0, 55, 9, 0, -35, -65, 0, 231, -12, 0, 30, 13, 0, 112, 9, 0, 37, 16, 0, 61, -116, 0, 32, -29, 0, 78, 73, 0, -38, -42, 0, -161, -104, 0, -28, -253, 0, 123, -20, 0, 69, -96, 0, 46, 88, 0, 6, 122, 0, -50, 13, 0, 43, -35, 0, -2, -159, 0, -33, 139, 0, 157, -2, 0, -36, -18, 0, 15, -46, 0, 30, -106, 0, 137, -23, 0, 12, -171, 0, -210, -101, 0, 34, -91, 0, -190, 14, 0, 88, -78, 0, 63, -88, 0, 17, 76, 0, 100, 76, 0, 37, -73, 0, -162, -58, 0, -41, -67, 0, 98, 11, 0, -33, -84, 0, 152, 46, 0, 79, 1, 0, 138, -6, 0, 41, -121, 0, -109, -5, 0, -20, -79, 0, 41, 11, 0, 23, 98, 0, -176, -9, 0, 15, -363, 0, 277, -7, 0, 41, -14, 0, -26, 17, 0, 68, -96, 0, -7, 69, 0, 4, -140, 0, -115, -22, 0, 33, 131, 0, 111, 4, 0, -116, -80, 0, -75, -93, 0, -134, -173, 0, 112, -54, 0, -91, -67, 0, 34, 56, 0, -13, -212, 0, -78, 20, 0, 74, -88, 0, 62, -139, 0, 19, 84, 0, 80, 14, 0, -17, -45, 0, 106, 20, 0, -9, -207, 0, 106, -54, 0, -49, -110, 0, 124, -153, 0, 30, 96, 0, -14, 17, 0, 45, -151, 0, 107, -111, 0, 11, 42, 0, 2, 102, 0, 37, -14, 0, -219, -51, 0, -3, -105, 0, 101, 12, 0, 72, -51, 0, -94, -56, 0, 57, 46, 0, -44, 34, 0, 56, -138, 0, 48, -94, 0, -84, 24, 0, -6, -37, 0, 4, -78, 0, 96, 64, 0, 19, -73, 0, 8, -103, 0, -54, -237, 0, -6, 126, 0, -15, -36, 0, -25, 3, 0, 4, -195, 0, 26, -74, 0, 27, 156, 0, 63, 75, 0, 60, -121, 0, -164, -29, 0, -51, -216, 0, 16, -4, 0, -104, 71, 0, 24, 59, 0, 12, -22, 0, 193, 16, 0, 46, -55, 0, -10, -105, 0, -51, -14, 0, -1, 35, 0, -91, -115, 0, 72, 40, 0, -20, -132, 0, 133, 47, 0, -100, -44, 0, 127, -13, 0, -1, -71, 0, 5, 20, 0, 24, -122, 0, -109, -218, 0, 17, -102, 0, 233, 36, 0, -15, -24, 0, -21, -58, 0, -52, -252, 0, 173, 13, 0, -32, -151, 0, -119, 36, 0, 68, -115, 0, -144, 33, 0, 137, -68, 0, -123, -182, 0, 34, 131, 0, -7, -30, 0, 4, -6, 0, 45, -15, 0, 6, -199, 0, 130, 13, 0, -68, 16, 0, -95, -66, 0, -7, -115, 0, 226, 26, 0, 31, -48, 0, 11, -114, 0, 14, -105, 0, 90, 65, 0, 96, -160, 0, -100, 47, 0, -80, -64, 0, 114, -15, 0, 16, 56, 0, 110, -39, 0, 22, -184, 0, 84, -5, 0, -15, -48, 0, -83, -204, 0, 26, -68, 0, 176, 29, 0, -71, -88, 0, -12, 95, 0, 42, -69, 0, 131, -114, 0, -111, -133, 0, -64, 56, 0, -3, -34, 0, -22, 50, 0, 53, -100, 0, 210, -98, 0, 34, 205, 0, -9, 87, 0, -68, -196, 0, 59, -39, 0, -122, -195, 0, 73, 38, 0, 34, -77, 0, 245, 7, 0, 79, -53, 0, 191, 110, 0, 123, 56, 0, 124, -256, 0, -26, -104, 0, 114, -22, 0, -124, -130, 0, -124, 45, 0, 2, -3, 0, 322, 51, 0, 18, -59, 0, 13, -64, 0, 80, -59, 0, 47, -4, 0, -23, -171, 0, -36, -153, 0, -8, 61, 0, 118, 85, 0, -15, 10, 0, -5, -137, 0, -66, 14, 0, 181, -5, 0, 95, -31, 0, -45, 1, 0, 2, -120, 0, 53, 1, 0, 42, 2, 0, -40, -125, 0, -16, 96, 0, 218, -6, 0, -146, -63, 0, 22, 7, 0, -21, -44, 0, 0, -6, 0, -155, -61, 0, -35, -90, 0, 36, -40, 0, 241, 24, 0, 109, -38, 0, -91, -56, 0, 49, -157, 0, 53, 17, 0, -4, -156, 0, -64, -27, 0, -44, -64, 0, 184, 12, 0, -36, 0, 0, 81, 102, 0, 52, -92, 0, 146, 14, 0, 22, -53, 0, -206, -198, 0, -68, 37, 0, 153, -46, 0, -192, -7, 0, 90, 18, 0, 12, -75, 0, 35, -47, 0, -6, -107, 0, -81, 26, 0, 0, 26, 0, 83, 61, 0, 77, -151, 0, 191, -76, 0, -15, 96, 0, 30, 87, 0, -57, 73, 0, -196, -51, 0, -127, -345, 0, 210, -78, 0, -154, 63, 0, 188, -42, 0, 11, 185, 0, 61, -37, 0, 39, -192, 0, -40, -142, 0, 5, 57, 0, -166, 1, 0, -87, -358, 0, -78, 50, 0, 15, -53, 0, -83, 2, 0, 97, -89, 0, -39, -33, 0, -25, 69, 0, 60, 17, 0, 35, -38, 0, 5, -29, 0, 6, 53, 0, 177, 82, 0, -27, 110, 0, -18, -55, 0, -8, -131, 0, 15, 2, 0, 0, -177, 0, -216, 127, 0, 33, -89, 0, 114, 19, 0, 109, 90, 0, 65, -183, 0, -119, 225, 0, -195, -21, 0, -93, -115, 0, 85, -3, 0, -17, -302, 0, 112, 4, 0, -140, -71, 0, 60, 42, 0, 6, -82, 0, 189, 4, 0, 87, 34, 0, 77, 4, 0, 53, 65, 0, 16, 93, 0, 12, 108, 0, 54, 17, 0, -65, -107, 0, 104, -24, 0, -83, 25, 0, 108, 168, 0, 21, 29, 0, 34, 38, 0, -76, -12, 0, -94, -156, 0, 5, -47, 0, 230, 0, 0, -29, 6, 0, 334, 32, 0, -33, -102, 0, 237, -40, 0, -18, -14, 0, -171, 9, 0, -24, -56, 0, 148, 30, 0, 87, -70, 0, 146, 16, 0, -7, 248, 0, 74, 88, 0, -55, 6, 0, 126, -151, 0, -81, 6, 0, 273, -2, 0, 44, 170, 0, -135, -75, 0, 51, -125, 0, 368, -4, 0, -38, 75, 0, -115, -111, 0, -47, 196, 0, 87, -58, 0, -177, -156, 0, -74, 2, 0, 5, -16, 0, 122, -43, 0, -25, -1, 0, 8, 20, 0, -5, 16, 0, -88, -12, 0, -39, -57, 0, -46, -87, 0, 81, -10, 0, 122, 52, 0, -14, 57, 0, -156, -48, 0, -173, -301, 0, 69, -19, 0, -60, -20, 0, -102, 48, 0, -26, 16, 0, 222, 7, 0, 98, 306, 0, -151, 2, 0, -21, 110, 0, -79, 8, 0, -217, -203, 0, 265, 57, 0, -33, -61, 0, -164, -55, 0, -156, -219, 0, -17, -69, 0, 98, 84, 0, 158, 59, 0, -7, 239, 0, -49, -252, 0, 34, 45, 0, 122, 54, 0, 25, 151, 0, 11, 132, 0, -51, -65, 0, 48, 36, 0, 7, -31, 0, -21, 126, 0, 27, 29, 0, -46, 80, 0, 34, 81, 0, -180, -132, 0, -38, 196, 0, 192, -72, 0, -199, 104, 0, 123, 200, 0, 1, -41, 0, 146, 1, 0, -41, -50, 0, -293, -9, 0, 28, -17, 0, -32, 9, 0, -114, 29, 0, -6, -5, 0, 18, 85, 0, 213, 34, 0, -51, 26, 0, 199, -135, 0, -174, -2, 0, 66, 1, 0, -111, -50, 0, 100, 35, 0, 5, -82, 0, 294, -9, 0, 8, 84, 0, 25, -116, 0, -9, -43, 0, -53, 53, 0, 25, -6, 0, 68, 53, 0, -14, -150, 0, -16, -55, 0, -121, 340, 0, -203, -71, 0, 24, -59, 0, 4, 11, 0, -38, 28, 0, 6, -96, 0, 26, 190, 0, 156, 77, 0, -206, 167, 0, 121, -152, 0, -70, 124, 0, 170, 22, 0, 48, -193, 0, 127, 260, 0, 70, 23, 0, 16, 35, 0, 99, 210, 0, -87, -149, 0, -56, 26, 0, 307, -38, 0, -119, -257, 0, 186, 217, 0, 10, -187, 0, -139, -11, 0, -12, -113, 0, 51, 2, 0, 91, 261, 0, 142, 37, 0, -29, 221, 0, 64, -105, 0, 18, 28, 0, -48, 111, 0, -25, -139, 0, -41, 10, 0, -160, -81, 0, -137, -4, 0, 83, 77, 0, -5, -42, 0, -21, 212, 0, 342, -56, 0, 2, -46, 0, -108, -104, 0, -22, -34, 0, 205, 5, 0, -15, 52, 0, 95, 55, 0, 9, 203, 0, 36, -35, 0, -65, -378, 0, -120, 231, 0, -12, -46, 0, -13, 30, 0, 13, -47, 0, -15, 112, 0, 9, 113, 0, 352, 37, 0, 16, -12, 0, -125, 61, 0, -116, 10, 0, 71, 32, 0, -29, 164, 0, -71, 78, 0, 73, -51, 0, 469, -38, 0, -42, 213, 0, -111, -161, 0, -104, 91, 0, -298, -28, 0, -253, -63, 0, 96, 123, 0, -20, -55, 0, 185, 69, 0, -96, -43, 0, -22, 46, 0, 88, -90, 0, 133, 6, 0, 122, -17, 0, -42, -50, 0, 13, 83, 0, 242, 43, 0, -35, -8, 0, 152, -2, 0, -159, -93, 0, 92, -33, 0, 139, -44, 0, -11, 157, 0, -2, 76, 0, -171, -36, 0, -18, 56, 0, -232, 15, 0, -46, 174, 0, -70, 30, 0, -106, 163, 0, 203, 137, 0, -23, -35, 0, -49, 12, 0, -171, 151, 0, 3, -210, 0, -101, 230, 0, 262, 34, 0, -91, 103, 0, -84, -190, 0, 14, -29, 0, 126, 88, 0, -78, -41, 0, -104, 63, 0, -88, -46, 0, 12, 17, 0, 76, 118, 0, 217, 100, 0, 76, 66, 0, 81, 37, 0, -73, 17, 0, -140, -162, 0, -58, 118, 0, 100, -41, 0, -67, 93, 0, 89, 98, 0, 11, -97, 0, 7, -33, 0, -84, -5, 0, -230, 152, 0, 46, -59, 0, 144, 79, 0, 1, 105, 0, 198, 138, 0, -6, 419, 0, -187, 41, 0, -121, -19, 0, -60, -109, 0, -5, 164, 0, -48, -20, 0, -79, -73, 0, 72, 41, 0, 11, 99, 0, 100, 23, 0, 98, 440, 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": "8046.2.a.i", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0], [1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, -1, 1, 1, 1, -1, 0, 1, 0], [1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [3, 0, 0, 1, -1, -1, 0, 0, 0, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0], [1, 1, 2, 0, 0, -1, 1, 0, 1, 0, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, -1, -1, 0, -1, -2, -1, 1, 2, -1, -1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 1, -1, 0, -1, -1, -1, -1], [1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0], [2, 0, 0, 2, -1, -1, 1, -2, 1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 1, 1, 1, 1, 0, 0, -1, -2], [1, 1, 0, 0, -1, 1, 1, 1, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1], [1, -1, 1, -1, 0, 0, 0, 0, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, -2, 0, 3, 2, 1, -1, -1, 1, 1], [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 1, -1, -1, 0, 0, 0, 1, -1, -1], [2, -2, -1, 0, 1, 2, 0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, -1, 0, 1, 1, -2, -1, -1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, -1, 0, 2, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 1, -1, 2, 2, 0, 1, -1, 0, -2], [0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 2, 0, 0, -1, 1, 0, 1, 0, 2, 2], [0, -2, 1, 2, 1, 1, 0, 1, 1, -1, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, 0, 1, 2, 1, -1, 0, -3, 1, 1], [0, 2, -1, -1, 0, -1, -2, -1, 1, 2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0], [6, -2, -2, -1, -1, -1, 1, -2, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -2, 0, -2, -1, -1, -1, 0, 2, 1, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1], [1, 0, 0, -1, -1, -1, -1, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 2, 1, 1, 4, 4, 3, 0, -2, 0, -1], [0, -1, -1, 0, 0, 1, -1, 0, -1, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 1, 2, 0, -3, -2, -2, 2, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 3, 1, 1, -1, -2, -2, -1, 1, 4, 0, 0], [1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, -1, -1, 1, -2, 1, -1, 1, 0], [6, 0, 1, -1, 0, 1, 1, 3, -1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -2, 0, -1, -2, -1, -2, 1, 2, 0, 0], [-1, 0, 1, 0, 1, 1, 1, 1, 0, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, -1, 1, 1, 1, -1, 0, 1, 0]]}