# Stored data for newform 6005.2.a.c, downloaded from the LMFDB on 07 May 2024.
{"label": "6005.2.a.c", "space_label": "6005.2.a", "level": 6005, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288301429, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2777.1", "trace_hash": 2098621830772927954, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 3, -3, -2, 1]]], "qexp_display": "q+(1-\\beta _{3})q^{2}+(-1-\\beta _{2}+\\beta _{3})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24020, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 47.950166413778874, "hecke_ring_index": 1, "level_radical": 6005, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [6005, 1, [1202, 11], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 1201], "conrey_indexes": [1], "field_disc": 2777, "field_disc_factorization": [[2777, 1]], "field_poly": [2, 1, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.071", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "45.452", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "730.395", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [1201, 1]], "trace_display": [2, -2, -4, -7], "traces": [0, 4, 2, -2, 2, -4, -7, -7, 9, 2, -2, -4, 0, 2, -4, 2, 6, -1, -1, 11, -2, 5, -14, -9, 11, 4, -8, -5, -3, -8, 7, -5, 5, 28, 15, 7, -13, 4, -4, 5, -9, 3, 21, -19, 0, -2, -4, 4, -5, -7, 2, -20, -11, 28, -1, 4, -5, 2, 0, -9, 0, -23, 16, -22, 21, -2, 10, -11, 10, 3, 4, 27, -38, 18, -20, -2, -6, 10, -3, 11, -6, 8, 1, -2, -1, 1, -9, -19, 22, 1, 1, -3, -5, -11, -37, -11, -15, 8, -5, -22, 2, -20, -9, 12, -1, -5, 29, 4, 12, 15, 14, -21, 7, 3, -10, 9, -19, 3, -45, -9, -11, 12, -1, -27, 21, -4, -10, -6, 5, 35, 8, -50, -14, -10, 9, 5, -23, -17, 7, 8, 3, 15, -11, 10, -50, 8, -20, -8, -61, -4, -7, -6, 30, 26, 42, 5, 3, 34, 24, -33, -5, 7, 39, 3, -25, -28, 14, -12, -46, -42, -15, -11, 17, 11, -6, -7, -10, 26, 24, 28, 13, -69, 13, 17, -31, -4, -1, -40, -59, 36, 4, 33, -8, -47, 22, -5, -18, -5, -44, 34, 9, -12, -58, -6, 5, -3, -12, 14, -17, 4, -21, 43, 25, 13, -32, 19, 42, -1, -17, -28, 0, -16, 7, 1, -18, 2, 29, 22, 2, -53, 4, -86, -76, 20, 8, -4, -64, -19, -35, 14, 5, -52, -2, -37, 15, 7, 0, 15, -11, -34, -2, 74, 31, 6, -51, 20, -44, -17, 28, 7, 11, 55, -37, -53, -22, -28, 6, -8, 6, -26, 1, -13, 3, -16, -7, -4, 1, -55, 6, 12, 5, -21, -6, -4, -9, -2, -6, 0, 3, -21, 0, -16, -68, -4, -15, 9, -59, 28, -15, -5, 0, 28, 23, 49, 14, 23, 26, -84, -2, 6, -16, 7, 16, 63, 7, 22, 29, 25, -51, -38, -21, 59, 7, -29, 26, 2, 28, -24, -40, -6, -10, 10, -6, 15, 45, 11, -4, 6, -27, 6, -10, -22, -6, 34, 4, -3, 38, -27, 19, 27, -4, -4, -30, -17, 43, -27, 40, 71, 46, -25, 38, -27, -15, -46, 10, -18, 67, 0, -31, 17, 20, -51, -5, 7, -18, 2, -34, -8, 15, 30, 6, 37, 11, 29, -32, -10, 8, -25, 28, -70, 3, 13, -69, 13, -31, -11, 24, -30, 69, -18, 6, 6, 26, -21, -67, -8, -19, -42, 19, -13, -1, -34, -18, 43, 14, 2, -28, -10, -20, -32, 1, -6, 35, 22, 53, -1, -36, 67, -5, 18, 9, 34, 63, 17, -27, 19, -58, -34, -52, 6, -22, 64, 7, -70, 41, -1, 33, -7, -62, -27, -1, -54, 64, 26, 53, 3, 14, -9, 69, -36, 5, 5, -44, -110, -63, 11, 121, 36, 27, 26, 37, 30, -31, 70, -29, 11, 1, 22, 38, 6, 15, 24, -68, 2, -50, -8, 1, 50, 7, -83, 5, -72, 26, 49, -20, 22, 15, -36, -52, -41, -2, -37, 12, 22, 72, 20, 14, 34, -65, -83, 9, -52, -66, 12, 54, -12, -26, 30, -1, 57, 1, 51, 79, -66, -61, 5, 14, 43, -64, -63, -29, -40, -6, 2, 58, -4, -24, -69, 36, -16, -12, -84, -16, -9, 51, -15, 12, 57, -48, -81, -14, -46, 2, -29, -11, 21, 2, 45, -4, -10, -7, 46, 76, 40, 22, -3, 122, -2, 76, 6, 10, 55, 6, -48, -28, -9, 54, 20, -27, 35, 19, -52, -15, -66, -76, -3, 21, -3, 13, -42, 45, -56, -51, 38, 72, 9, -37, -9, 19, -13, 11, 24, 44, -16, 72, -12, 90, 92, -26, 79, 1, 41, -44, 27, -76, 27, -92, 4, -20, -4, -21, -16, 46, 58, -12, 4, -22, 44, 44, -18, 10, -45, 25, 18, -41, 6, 4, -2, -12, -11, -5, -87, 17, -21, 16, -35, 32, -63, 4, 52, -8, 44, -27, 25, -72, 50, -12, 98, 52, 4, 14, 0, 81, -11, -100, 10, 108, 38, 53, -19, -9, 34, 53, 51, -9, -5, -20, 84, -12, -15, 23, -113, -2, 60, 6, 17, 25, 9, -12, -1, -7, 12, 133, 102, -65, -8, 53, 19, 73, -118, -3, -8, -3, 47, -16, -15, 17, 90, 19, 29, 11, 20, 94, 21, 32, -10, 23, -16, -15, 16, 50, -20, -68, 36, -39, -8, -95, -55, -6, -49, 20, -15, -16, 62, 29, 8, -2, -24, 72, -8, 61, 12, -62, -14, -8, 4, -42, 130, 10, 17, 7, -29, -92, -36, 35, 6, -38, -56, 59, -26, -30, -44, -38, -72, -26, -26, 21, 36, 29, -9, -42, -21, 51, 95, -68, -5, 29, 48, -24, 14, -3, 26, -25, -69, -81, -34, 137, 6, -118, 21, -24, -12, 150, -22, 65, 33, 129, 89, 32, -58, 5, -135, 28, -56, 3, -7, 5, -51, -8, -54, -39, 18, 41, -40, 14, -3, 58, -58, 18, -12, 25, -7, 50, -14, 16, 28, 71, 63, 21, -63, -14, 36, 6, 39, -49, 12, 4, -18, -28, -30, 46, -18, -51, -28, 88, 42, 64, -95, 64, -76, 15, -23, -2, 55, 18, 11, 87, 14, -32, -120, -17, 75, -4, -21, -16, -11, -45, -9, -10, -38, 6, -20, -94, 0, 10, 7, 48, 62, -20, -20, 10, -18, 68, -71, 3, -26, -37, 63, 32, -38, -24, -104, 47, 51, 74, -28, 13, -4, -67, 38, -13, 29, 0, -95, 70, 69, -20, -107, -7, -111, -13, 67, -36, -68, -91, -17, 147, 137, -46, -102, 31, 60, -1, 38, 44, 4, -88, 10, 3, -90, 1, -45, 124, -47, -60, 40, 38, -40, -21, 3, 59, 39, -88, -12, -59, -36, 56, -149, -5, 38, -4, 49, 68, 133, 7, -33, 60, 62, 31, 50, 8, -71, 33, -73, -100, 47, -20, 68, -143, -20, -22, 66, -23, -49, -66, 5, 56, 58, 45, -16, 18, 140, -99, -35, 19, 5, -10, -47, -28, 48, 44, 121, 64, -103, 24, -34, 20, -8, -79, -4, -9, -32, 17, -87, -12, 12, 2, 60, 89, -105, 58, -123, 2, 27, 75, 6, -90, -20, 2, 0, -5, -13, -8, -6, -79, 3, 8, -13, 87, 18, 12, 5, -63, 34, -12, -14, 46, -16, -53, -15, 17, 47, 104, 74, 32, -4, -11, -7, -111, -103, 21, -50, 49, -31, -9, -43, 36, -20, -37, 65, -25, 13, 32, 4, -32, -13, 20, -32, -16, -5, 32, -73, 23, 24, -38, -19, 21, 4, -30, -16, -42, -10, 77, 40, -72, 1, 90, 0, 22, 202, 17, 1, 3, -24, 69, 28, -100, 107, -69, -88, 0, -19, 16, -14, 24, 16, -43, -14, 14, -72, -7, 98, -25, 94, -68, -1, -59, 1, 12, -26, 18, 43, 142, -33, 124, -2, -82, 43, 69, 30, -29, -13, 168, 12, -91, -22, 16, 7, -61, 28, -2, 45, 140, 108, 32, 53, -122, -63, 19, 25, -4, 22, -7, 189, 81, 86, -63, -23, 59, -47, 76, 34, -48, 26, -6, -20, -102, 55, -120, 17, -8, 36, 22, 9, 45, 4, 77, 118, 42, -100, 64, 51, 26, 75, -116, 19, 108, -74, -26, 35, 35, 2, 14, 93, -74, -14, 34, -22, -101, -48, -5, -4, -32, -4, -7, 52, 5, -69, 54, -10, 2, -53, 9, -109, 13, 37, 28, -43, 37, -61, -15, 54, 14, 9, -109, -7, 37, 126, -92, -129, 0, -148, -8, -8, -47, -15, 6, 17, -31, -103, 11, 6, -11, 12, 45, 34, -32, -3, 3, -80, 2, 78, -41, -38, -36, -74, 122, -12, 1, 81, -31, -14, -115, 69, 39, -6, -44, 90, -33, -24, 51, -10, 72, -38, 27, -20, 38, -167, -24, 28, 44, -72, -86, 2, -27, 17, 57, 22, 26, -18, -28, 45, 44, 4, 46, -7, 93, -97, 86, 53, -11, 32, -2, -69, -53, -55, -61, 49, 41, 142, 37, 10, -29, 38, 160, 53, 57, -29, -54, -55, 22, -70, -16, -86, 59, 28, 26, -23, -104, -18, -6, -48, 149, 30, 19, 8, -15, -122, -46, 24, -6, -114, 134, 39, 44, 26, 119, 140, -141, 110, -1, 59, -79, 52, -17, 13, -35, -7, -38, 9, -3, -23, 1, -5, -10, 16, 44, 29, -42, 70, 7, 70, 68, 139, 102, 4, 9, 69, -52, 26, -1, 34, 58, -40, 181, 55, 156, 58, -83, 124, -6, 36, 95, -74, 6, -12, 139, 74, -97, 35, -5, -16, 69, 25, -28, 21, -48, 32, -64, -44, 6, 106, 99, 37, 107, 4, -47, 32, 50, -164, 9, 93, -8, -69, 184, 2, -37, 9, -36, 63, 6, -45, 28, 40, 61, 0, -26, 100, -60, -22, -3, 26, 18, -28, -96, 21, 91, -121, -234, 10, 0, 3, 48, -54, -126, 16, 35, -84, -83, -129, 68, -48, -66, -36, -170, 4, 40, -44, 39, -26, 15, -55, -22, 127, 52, -9, 49, -44, 109, -59, 59, 30, -16, -152, -30, -28, -59, 34, 38, 38, 15, -57, -110, -43, 116, 5, 38, 65, 91, 109, 0, 2, 85, -6, -135, -28, -113, -68, 57, 71, -23, -12, -83, -29, -27, -49, 125, 118, 4, 33, -14, -31, 98, 40, 14, -23, -7, 81, -64, -20, -26, 10, 67, 100, 37, 84, 158, -29, 34, -1, 2, 18, -15, 131, -43, -6, -23, 26, 3, 15, 16, 68, 52, 84, 20, -7, 7, -22, -4, 124, -16, -46, -72, -137, -41, -63, -98, 16, 1, 133, -7, -36, 24, 14, 141, -22, -168, -76, 119, -36, -29, -9, -23, -96, 96, -25, 30, 32, 132, 1, 51, -134, 182, 74, 78, 38, 12, -58, 14, -27, 21, -126, -108, 102, 52, -59, -104, -95, -62, -17, -7, 15, 0, 75, 73, 29, -25, 86, -118, -78, -26, 77, -18, -26, 133, -2, 25, -61, 82, 51, -28, -97, -44, -72, 20, 24, 162, -19, 3, -14, 40, -72, 70, -3, 41, 6, -53, 125, -22, 29, 10, 45, 39, -10, -96, -10, 80, 83, 21, 64, 6, 52, 175, 166, 7, -15, 1, -38, 4, -104, -45, 104, 28, 61, -7, -11, -68, 7, 6, -20, 4, -79, 27, -192, -33, -6, 43, 91, 234, -31, 27, 39, 149, -179, -44, -6, 78, -55, 35, 43, 10, 34, 81, -13, 63, 22, 56, -17, -36, 48, 6, -39, 13, -211, 135, -34, -12, -137, -77, 182, -4, 153, 26, -82, -4, 3, -71, 60, -95, -16, -38, -147, -37, -125, 8, 27, 28, -20, -58, 133, -19, -96, 25, 158, -159, -27, -19, -20, 30, 212, 4, -34, 188, 200, -64, 4, -69, -113, 22, -60, 30, -103, -203, -97, 26, 17, 4, -10, -46, -29, -43, 4, -92, 50, 84, 27, 60, 60, 88, -87, -40, -10, -4, 26, -14, -71, -82, -108, 22, 190, -46, -14, 94, -166, 0, 25, 6, 107, -51, -15, -38, 53, 107, 112, 52, 27, -110, 2, 81, 31, 15, -10, -49, -8, -61, 46, -31, -15, -23, -120, -10, -15, -101, 125, -4, 18, -104, -116, -112, -97, -67, -12, 46, 21, 50, 0, 55, -74, 20, -210, 31, 119, 114, 3, -42, -17, -56, -42, 114, 1, -20, 24, -52, 34, 14, 51, -1, -163, -11, 68, 5, -37, 4, -30, -11, -7, -128, -7, -136, -36, 18, -101, 23, -8, 94, -2, -10, 75, -116, -207, 34, 36, 32, 73, -37, 8, 24, -5, -179, -2, -15, 23, -52, 9, -37, -30, 36, 25, 12, -94, -6, -148, -46, 114, -6, -37, 82, 151, -130, 60, -11, 7, 161, 7, 158, -29, 162, 2, -27, 48, 32, 26, -77, 77, 38, 10, -106, 31, -181, -40, -8, -21, -9, 112, -4, 25, -194, 11, 22, 175, -28, 53, -120, 29, -162, 70, -16, -134, -180, 70, -3, 93, -8, -10, -156, -13, 55, 52, 116, -138, 69, 25, 165, -29, -71, -13, -80, 43, 68, -138, 31, -132, -79, 53, 40, 11, 28, -14, -8, -164, -24, 35, 117, 49, 8, 30, -45, -87, -9, 0, -69, -18, 166, -53, -132, 18, -93, -169, -129, -164, -6, -3, 24, 22, -8, -6, -61, 75, 135, 5, -26, -120, 75, -300, 2, 21, -23, 123, -157, -112, 67, -47, 25, 8, 4, 8, 15, 111, -7, 67, 19, -39, -216, 69, -99, 42, 85, 47, -169, -9, -19, 27, -83, -8, 84, 13, 88, -62, -64, 68, 1, 22, -18, 23, -27, 34, -17, 103, -89, -105, 18, -123, 103, -26, -48, -43, 101, 18, 44, 27, -14, 20, 142, -46, -113, -2, -95, 36, 25, -136, 28, -28, 110, 106, 71, 10, 8, -54, 10, -59, 20, -20, 111, 0, -36, 32, -24, 131, 2, -150, -1, -96, -42, 45, -23, 6, -3, 23, -27, -64, -35, 18, 234, -137, 3, -22, -42, 72, 115, -25, -53, -197, 85, 70, 216, 1, 160, 28, 24, 81, 36, -122, 13, -38, -30, -67, -216, 0, -80, 0, 5, -63, -122, 51, 20, -18, 161, -26, 23, 114, -9, -186, -61, 20, 34, -34, 26, 136, 24, -32, -63, -39, 96, -22, 128, -17, 109, -112, -139, 6, 27, -57, 24, 46, -1, -19, 2, -128, 215, -99, 58, 81, -45, 162, -40, 34, -18, 223, 66, -18, 52, -116, -23, 100, 119, -6, 38, -41, 23, 49, 22, -94, 67, 47, 22, -64, 38, -154, 7, -6, -7, -98, -22, 114, -99, 70, 5, -132, 59, -46, -41, 12, 180, -5, -58, 1, 157, -37, -32, 129, -33, -17, -72, 158, -127, 7, 31, 126, -8, -56, 62, -184, -72, -81, -28, 27, 43, -202, 55, -27, 1, -48, -195, -69, 23, 54, -18, -44, -7, 28, -64, 22, 13, -60, 111, -26, -40, -36, -40, -94, -53, 62, -49, 99, -134, -3, -139, -14, -48, -158, -14, -112, -111, -76, 69, 9, 92, -76, -24, 114, -69, 6, 37, 112, -25, 36, 120, 45, -54, -33, -5, -17, -154, 12, -29, -5, 159, -157, 15, 50, 44, -62, -148, 48, -18, 110, -43, -45, 44, 55, 63, 36, 103, -10, 62, -11, -117, -18, 1, 28, -121, -108, 8, -62, 194, -36, -92, -60, -82, 110, -27, -45, 76, 140, 8, -26, 4, -94, -13, 21, -37, 47, 72, -54, 34, -30, 74, 33, 35, 25, 31, -248, 213, 41, 87, -70, 61, -114, -62, -28, 29, 69, 129, -12, -172, -11, -220, -65, 69, -50, -1, 36, 19, -180, 80, -22, 125, 88, -60, -98, -38, -18, 10, 13, 24, -6, -95, -38, -144, -96, -15, -40, -2, 194, 48, -24, -27, 170, -100, 304, 68, 6, 5, -17, 90, -2, 31, -118, 26, 37, 50, -53, 19, -47, -163, 8, -70, 90, 11, 110, -1, -22, 40, -77, -88, -50, -60, -28, -54, 45, -7, -2, 96, -36, 49, 83, 88, -130, -60, 33, -5, 52, -136, -38, -21, 72, -254, 21, 32, 130, -26, -33, -38, 16, 106, -49, 107, -33, -70, 121, 20, 115, 54, -135, -277, -22, -225, -13, -110, 0, -15, 46, 88, 22, -10, 36, -24, -16, -102, -76, 52, -28, -100, -210, -69, 41, 54, -226, -141, -87, 2, -28, 45, 33, 98, 37, -115, 12, -24, -55, -12, 48, 11, 34, 52, -22, -3, 48, 10, 18, -72, -87, -22, -42, -221, -20, 69, 109, 84, -71, -14, -90, -53, -70, 6, -34, 70, -1, -49, -22, 65, 209, -14, -22, 9, 83, 40, -104, 61, -70, -9, 90, 106, 36, -65, 52, -7, -131, 127, 26, 66, 26, -217, -236, -95, -12, -41, 35, -54, 67, -54, -92, 74, 88, -24, 12, 11, 139, 27, -30, 26, -130, -76, -99, -70, -30, -6, -35, 145, -58, 1, -66, 90, 115, -190, -57, 38, -39, -32, 0, -1, 83, -94, -28, -17, -51, -107, 106, 103, -7, -79, -8, -260, -38, 32, 66, 244, 89, 64, -7, 61, -103, 8, 120, -26, -5, 49, 66, 104, -32, -14, 141, 26, -19, -186, -43, -122, -33, -71, 13, 64, -15, -5, 80, 17, 63, -76, 29, -49, 33, 29, 72, 4, -134, 144, 40, 78, 102, 47, 56, 6, 45, -36, 67, 34, -2, -50, -61, 35, -37, -58, -122, 84, -50, -59, 4, -14, -69, -18, 34, 24, -54, 0, 78, -32, 69, 51, 85, 73, 136, -36, 0, 126, -19, 2, 16, -215, -15, -76, -71, 12, 198, 27, -152, -65, 84, 150, 96, -73, 187, 16, -3, -34, 61, 109, 9, -29, 24, -115, 41, -51, 114, -115, 194, 60, 15, 181, 181, -16, 28, -12, 9, 156, 50, 201, -57, -88, 4, 61, 248, 48, -50, 13, 8, 133, 81, 203, 22, -78, 98, 14, -76, -58, 77, 18, 46, -86, -177, -25, -14, -2, -72, 32, 40, 70, 29, -108, -46, 109, 49, 11, 57, -82, 172, -76, -21, -34, -50, 149, 19, -2, -18, -35, 47, -34, -45, -78, 108, -8, 27, 4, 100, 204, 28, -76, 10, -3, -87, 105, 236, 7, 77, -168, -40, 183, -46, -14, -27, -45, 18, -76, -124, -160, -8, -75, -40, 58, 62, -89, 138, -22, 26, 48, -26, 211, 3, -91, -42, 17, 33, -122, 69, -40, 110, 11, 2, 128, 227, -190, 101, -76, 116, 98, -67, -111, -6, -208, 24, 28, 96, -10, 64, -74, 9, 65, -55, -79, -58, -12, -28, -6, 0, -40, -21, 105, 48, 219, -81, -22, -73, 28, -252, -88, -10, 38, 9, 16, 86, 70, -89, -54, 22, 274, 60, 14, -20, 8, -157, -55, 94, 27, -47, 32, 42, -192, -35, -150, -98, -21, -32, -19, 72, 120, -84, 311, 52, -26, 31, -171, 67, 15, 1, 30, -93, -6, 66, -54, 122, -97, 63, 76, 62, -179, -47, -32, 3, 64, -7, -25, -100, -21, 117, 129, 52, 114, 3, 87, -264, -41, 42, -13, 1, 116, -197, -33, 42, 33, 69, 6, -158, -45, -31, -77, 206, -17, 56, 86, -55, -117, -102, 51, -67, 18, -121, 8, -38, -219, -45, 17, 19, -72, -10, 11, -99, -104, -9, -29, -122, -85, 82, 37, -80, 106, 75, -116, 9, -91, -32, -54, -56, -19, -25, 116, 108, 50, 13, -20, 49, -115, 139, -11], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6005.2.a.c", "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, 0], [1, 0, 0, 0], [1, 0, 0, -1], [-1, 0, -1, 1], [1, 0, -1, -1], [-1, 0, 0, 0], [-2, 1, 0, 0], [-2, 1, 0, 0], [2, 1, -2, 0], [1, -2, 1, 0], [-1, 0, 0, 1], [-2, 0, -2, 2], [0, 0, 1, 0], [0, 0, 0, 1], [-2, 0, -1, 2], [1, 0, 1, -1], [2, 2, -1, -2], [1, -1, 1, -2], [0, -1, 3, 0], [2, 1, 0, 1], [-1, 0, 1, 1], [3, -1, 3, -3], [-4, 2, 0, 0], [-2, -1, 0, 0], [3, -3, 1, 1], [1, 0, 0, 0], [-2, 0, 1, 0], [-2, 3, -1, 0], [-1, -1, 1, 1], [-1, -2, 2, -1], [2, -1, 0, 0], [0, -1, 0, -2], [3, -1, -1, -3], [8, -4, 2, 0], [4, -1, 0, 0], [2, -1, 0, 0], [-5, 1, 2, 3], [0, 2, 4, 1], [0, 0, 0, -2], [1, -1, -1, 1], [-2, -1, 2, 0], [1, 1, 3, -1], [6, -3, 1, 0], [-5, -1, -3, 1], [0, 0, 2, 0], [-1, 2, -1, 0], [-2, 0, 1, 2], [-1, 0, 1, 4], [0, -1, 3, -2], [-1, -3, 1, 0], [1, 0, 0, -1], [-6, 4, -1, 0], [-3, -1, 1, 1], [8, 0, 1, -2], [-1, 1, -4, 1], [2, 0, 2, -2], [0, -1, 5, -2], [0, -2, -2, 2], [-1, -2, 3, 3], [-5, 3, 1, 4], [0, 0, -1, 0], [-6, 3, -1, -1], [4, 0, -1, 0], [-7, 4, -4, 1], [6, -3, -1, 0], [0, 0, 0, -1], [6, -2, 6, -6], [-2, 1, 1, -2], [2, 2, -1, 0], [1, 1, 1, -1], [2, 0, 1, -2], [5, 1, -1, 3], [-13, 0, -2, 7], [4, -2, 4, 2], [-6, -4, 3, 4], [-1, 0, -1, 1], [0, -2, -2, -2], [6, -2, 6, -6], [0, 1, 1, -2], [4, -1, 0, -2], [-2, -2, 1, 2], [4, 2, 3, -5], [0, -3, 1, 2], [2, -6, 2, -2], [-1, 1, -2, 1], [-1, 1, -1, 2], [-4, 3, -1, 2], [-6, 5, -2, 0], [6, -6, 2, 2], [0, 7, 0, -3], [0, 1, -3, 0], [0, 1, 1, -2], [-3, 1, 3, 3], [-3, 3, 1, -1], [-10, -1, 5, 2], [-2, -1, 0, -1], [-5, 3, 0, 1], [3, 0, 0, -2], [-2, -1, 4, 2], [-10, 6, -8, 6], [1, 0, -1, -1]]}