# Stored data for newform 4030.2.a.j, downloaded from the LMFDB on 20 April 2024.
{"label": "4030.2.a.j", "space_label": "4030.2.a", "level": 4030, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679892926, "dim": 7, "is_polredabs": true, "trace_hash": 2227100517741426350, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [8, -31, 24, 22, -20, -8, 3, 1]]], "qexp_display": "q+q^{2}-\\beta _{3}q^{3}+q^{4}-q^{5}-\\beta _{3}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16120, "fricke_eigenval": 1, "atkin_lehner_string": "-++-", "analytic_conductor": 32.179712014576, "hecke_ring_index": 1, "level_radical": 4030, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [4030, 1, [807, 1861, 2731], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 13, 31], "conrey_indexes": [1], "field_disc": 997147901, "field_disc_factorization": [[89, 1], [11203909, 1]], "field_poly": [20, -3, -37, 9, 20, -6, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.417", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "120.378", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3520.260", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [13, 1], [31, -1]], "trace_display": [7, -3, -7, 4], "traces": [0, 7, 7, -3, 7, -7, -3, 4, 7, 4, -7, -10, -3, -7, 4, 3, 7, -6, 4, -5, -7, -15, -10, -11, -3, 7, -7, -21, 4, -18, 3, 7, 7, 4, -6, -4, 4, -8, -5, 3, -7, -12, -15, -5, -10, -4, -11, -10, -3, 7, 7, -29, -7, -18, -21, 10, 4, 13, -18, -11, 3, -25, 7, 17, 7, 7, 4, -22, -6, -18, -4, -22, 4, 19, -8, -3, -5, -47, 3, -20, -7, 7, -12, -8, -15, 6, -5, 29, -10, -4, -4, -4, -11, -3, -10, 5, -3, 13, 7, -27, 7, -17, -29, 7, -7, 15, -18, -26, -21, -25, 10, 27, 4, -12, 13, 11, -18, -4, -11, -26, 3, 5, -25, -39, 7, -7, 17, 6, 7, -13, 7, 29, 4, 5, -22, 21, -6, -23, -18, -32, -4, 22, -22, 10, 4, 18, 19, -69, -8, -21, -3, -60, -5, 41, -47, -7, 3, -7, -20, 15, -7, -17, 7, 7, -12, -4, -8, -25, -15, 7, 6, -49, -5, -30, 29, 4, -10, -46, -4, -8, -4, -14, -4, 18, -11, 8, -3, 43, -10, -31, 5, -23, -3, 40, 13, -3, 7, -60, -27, -30, 7, 26, -17, 6, -29, 12, 7, -43, -7, -14, 15, 7, -18, 17, -26, 5, -21, 4, -25, -54, 10, 6, 27, 25, 4, 4, -12, 1, 13, -63, 11, 108, -18, -40, -4, 10, -11, 26, -26, -43, 3, 38, 5, 14, -25, -7, -39, 5, 7, -44, -7, 40, 17, 47, 6, 29, 7, 91, -13, -27, 7, 44, 29, -44, 4, 18, 5, 28, -22, 31, 21, -12, -6, 15, -23, -10, -18, -10, -32, 4, -4, -8, 22, 66, -22, -13, 10, -33, 4, 23, 18, 0, 19, -27, -69, 11, -8, 28, -21, 11, -3, -33, -60, -14, -5, 25, 41, -55, -47, 40, -7, -25, 3, 30, -7, -17, -20, 103, 15, -67, -7, 93, -17, -56, 7, -7, 7, 38, -12, -69, -4, -46, -8, -58, -25, 22, -15, -1, 7, -46, 6, -10, -49, 56, -5, 18, -30, 0, 29, -28, 4, 21, -10, -7, -46, 22, -4, 7, -8, 3, -4, 10, -14, -11, -4, -19, 18, 31, -11, 67, 8, -33, -3, -3, 43, 3, -10, 18, -31, 6, 5, 35, -23, -45, -3, 47, 40, 69, 13, 16, -3, 27, 7, -5, -60, 20, -27, 39, -30, -22, 7, -34, 26, -7, -17, -7, 6, 26, -29, -32, 12, 76, 7, 82, -43, 8, -7, 68, -14, 7, 15, 9, 7, -24, -18, -6, 17, 23, -26, -4, 5, 5, -21, 4, 4, -29, -25, 51, -54, 19, 10, 77, 6, -40, 27, 4, 25, 119, 4, -51, 4, 93, -12, 106, 1, 4, 13, 17, -63, -51, 11, -37, 108, -7, -18, 3, -40, 26, -4, 21, 10, 125, -11, 10, 26, -5, -26, 88, -43, -83, 3, 8, 38, 128, 5, -13, 14, 16, -25, -5, -7, -6, -39, 13, 5, 27, 7, -2, -44, -3, -7, 40, 40, 51, 17, 17, 47, -3, 6, -77, 29, -27, 7, 132, 91, -7, -13, 129, -27, -97, 7, 118, 44, 17, 29, -15, -44, -6, 4, 24, 18, 37, 5, 12, 28, 26, -22, 7, 31, -53, 21, 22, -12, 136, -6, 25, 15, -24, -23, 22, -10, 1, -18, 137, -10, -27, -32, -102, 4, 5, -4, 33, -8, -3, 22, 12, 66, 93, -22, 71, -13, 112, 10, 55, -33, -11, 4, 61, 23, -88, 18, 13, 0, -17, 19, 4, -27, -84, -69, -5, 11, 77, -8, -10, 28, 26, -21, 5, 11, -31, -3, -42, -33, -74, -60, -5, -14, 141, -5, -97, 25, 10, 41, 76, -55, 39, -47, 35, 40, 12, -7, 172, -25, -104, 3, 7, 30, 41, -7, -33, -17, 61, -20, 72, 103, -6, 15, -7, -67, -107, -7, 43, 93, 24, -17, 13, -56, -14, 7, -16, -7, -15, 7, -34, 38, -29, -12, 149, -69, -19, -4, -40, -46, 29, -8, -5, -58, -110, -25, -42, 22, -50, -15, 107, -1, -21, 7, 69, -46, -24, 6, -49, -10, -29, -49, 23, 56, 110, -5, 18, 18, -24, -30, -81, 0, 32, 29, 98, -28, 28, 4, 4, 21, -28, -10, -22, -7, 15, -46, -26, 22, -37, -4, -11, 7, -10, -8, 122, 3, -69, -4, 4, 10, 22, -14, -18, -11, 11, -4, 25, -19, 130, 18, -79, 31, 69, -11, 15, 67, -99, 8, -13, -33, -63, -3, 21, -3, 24, 43, -53, 3, 13, -10, -13, 18, 60, -31, 42, 6, -8, 5, 4, 35, 43, -23, -41, -45, 11, -3, 4, 47, -119, 40, 57, 69, 7, 13, 156, 16, -193, -3, 80, 27, -22, 7, 7, -5, 80, -60, -103, 20, 23, -27, 25, 39, -15, -30, 10, -22, -42, 7, -14, -34, -64, 26, 17, -7, -150, -17, 27, -7, 10, 6, 84, 26, -7, -29, -40, -32, -17, 12, -184, 76, -145, 7, 4, 82, 22, -43, -72, 8, 14, -7, -9, 68, 25, -14, -21, 7, -64, 15, 91, 9, 11, 7, -7, -24, 54, -18, -78, -6, 72, 17, 28, 23, 49, -26, 21, -4, -45, 5, 171, 5, -92, -21, 30, 4, 10, 4, -116, -29, 22, -25, 25, 51, -4, -54, 95, 19, 91, 10, 47, 77, -40, 6, 46, -40, -14, 27, -47, 4, -7, 25, -39, 119, 8, 4, 18, -51, -18, 4, -37, 93, -67, -12, 14, 106, -58, 1, -61, 4, 134, 13, 87, 17, -18, -63, 75, -51, -80, 11, 73, -37, 22, 108, -8, -7, 56, -18, -48, 3, 53, -40, 237, 26, -43, -4, 74, 21, -107, 10, -32, 125, 67, -11, 31, 10, -63, 26, -19, -5, -127, -26, -183, 88, 23, -43, -48, -83, -27, 3, 7, 8, -9, 38, -40, 128, 79, 5, 211, -13, 79, 14, -75, 16, 3, -25, -31, -5, -1, -7, -111, -6, -18, -39, 60, 13, 159, 5, -67, 27, 65, 7, 38, -2, 30, -44, 110, -3, 91, -7, 47, 40, 89, 40, -26, 51, -96, 17, 135, 17, -39, 47, -21, -3, -6, 6, 59, -77, -66, 29, -18, -27, 4, 7, -12, 132, 20, 91, -44, -7, -88, -13, 55, 129, 43, -27, 140, -97, 35, 7, 232, 118, -166, 44, 14, 17, -43, 29, 27, -15, -132, -44, -7, -6, -7, 4, 39, 24, -34, 18, 81, 37, -61, 5, -17, 12, 99, 28, -4, 26, 154, -22, -24, 7, -5, 31, -84, -53, 8, 21, -26, 22, -175, -12, -4, 136, -67, -6, 66, 25, 76, 15, 141, -24, 54, -23, 206, 22, -81, -10, -61, 1, 21, -18, -6, 137, -52, -10, -73, -27, 47, -32, 85, -102, -25, 4, 37, 5, 8, -4, 2, 33, -8, -8, -4, -3, 52, 22, -92, 12, -29, 66, -57, 93, -1, -22, -3, 71, -96, -13, -14, 112, -230, 10, 63, 55, -8, -33, 119, -11, 39, 4, 6, 61, -108, 23, 4, -88, -31, 18, -94, 13, -6, 0, 40, -17, -102, 19, 46, 4, 10, -27, 196, -84, -10, -69, 20, -5, -44, 11, -79, 77, 4, -8, -26, -10, -124, 28, -97, 26, 89, -21, 42, 5, 43, 11, -107, -31, 46, -3, -103, -42, 110, -33, -38, -74, -108, -60, 3, -5, -19, -14, -41, 141, -14, -5, -10, -97, -52, 25, -145, 10, -38, 41, 7, 76, 111, -55, -173, 39, -39, -47, -2, 35, -5, 40, 132, 12, -167, -7, 3, 172, 62, -25, 44, -104, 130, 3, 52, 7, 69, 30, -180, 41, -40, -7, -67, -33, 19, -17, -13, 61, -20, -20, -47, 72, -180, 103, -11, -6, -12, 15, 247, -7, -29, -67, 36, -107, 150, -7, -144, 43, -23, 93, -91, 24, 27, -17, 28, 13, -120, -56, -97, -14, 27, 7, 181, -16, -49, -7, 46, -15, 25, 7, -44, -34, -88, 38, 17, -29, -143, -12, 17, 149, 44, -69, -73, -19, -50, -4, -65, -40, 12, -46, -18, 29, -76, -8, 145, -5, -36, -58, -5, -110, -28, -25, 15, -42, -7, 22, -105, -50, -227, -15, -31, 107, -1, -1, 129, -21, 168, 7, -88, 69, 12, -46, 1, -24, -95, 6, -161, -49, -136, -10, -15, -29, 49, -49, -117, 23, 49, 56, 85, 110, 10, -5, 166, 18, -121, 18, 13, -24, -38, -30, 10, -81, 81, 0, 78, 32, 26, 29, 70, 98, -4, -28, 74, 28, 17, 4, -4, 4, -94, 21, 8, -28, -97, -10, 90, -22, 44, -7, -31, 15, -66, -46, 25, -26, 6, 22, -78, -37, -103, -4, 13, -11, -46, 7, 6, -10, 27, -8, 7, 122, 33, 3, 130, -69, -113, -4, -176, 4, -27, 10, -23, 22, -36, -14, -238, -18, -170, -11, -43, 11, 0, -4, -10, 25, 37, -19, -209, 130, -90, 18, 27, -79, -99, 31, 12, 69, -32, -11, 52, 15, -11, 67, 40, -99, -35, 8, -119, -13, 87, -33, -28, -63, 84, -3, -81, 21, 139, -3, -20, 24, -11, 43, -33, -53, -58, 3, 90, 13, -137, -10, 33, -13, -137, 18, 88, 60, 54, -31, -86, 42, 14, 6, 94, -8, 7, 5, 4, 4, 110, 35, -25, 43, -93, -23, -32, -41, -206, -45, -97, 11, 55, -3, 172, 4, -180, 47, 8, -119, 169, 40, -40, 57, 26, 69, -91, 7, -109, 13, 45, 156, 25, 16, 218, -193, -39, -3, 131, 80, -19, 27, -30, -22, -38, 7, 6, 7, -13, -5, -5, 80, 17, -60, -235, -103, -175, 20, -29, 23, -62, -27, -103, 25, -49, 39, 247, -15, -88, -30, -81, 10, 67, -22, 34, -42, 39, 7, -4, -14, -203, -34, -93, -64, -92, 26, 32, 17, -35, -7, -15, -150, 56, -17, 234, 27, -105, -7, 93, 10, -4, 6, 7, 84, 14, 26, -221, -7, -183, -29, 145, -40, -38, -32, 84, -17, 84, 12, 16, -184, -18, 76, 69, -145, -93, 7, 7, 4, -6, 82, 20, 22, 46, -43, 47, -72, -108, 8, 67, 14, -126, -7, 58, -9, -96, 68, -65, 25, 136, -14, -112, -21, -22, 7, 13, -64, 5, 15, 167, 91, -44, 9, 1, 11, -76, 7, -169, -7, 184, -24, 227, 54, 46, -18, -89, -78, -72, -6, -161, 72, -29, 17, 10, 28, -135, 23, -14, 49, 26, -26, -2, 21, -56, -4, 33, -45, -302, 5, 84, 171, 62, 5, -18, -92, -7, -21, -5, 30, 86, 4, -34, 10, 0, 4, 103, -116, 20, -29, -29, 22, 225, -25, 28, 25, 60, 51, -235, -4, -2, -54, -80, 95, -21, 19, -64, 91, -225, 10, 74, 47, 2, 77, 7, -40, 13, 6, 328, 46, -61, -40, -195, -14, -22, 27, 191, -47, -94, 4, 23, -7, 86, 25, -7, -39, -245, 119, -232, 8, 65, 4, 105, 18, -3, -51, 50, -18, 22, 4, 8, -37, 39, 93, -10, -67, 32, -12, 153, 14, -198, 106, -110, -58, 11, 1, -17, -61, -70, 4, -118, 134, 85, 13, 19, 87, 130, 17, -11, -18, -357, -63, -22, 75, -31, -51, 0, -80, -146, 11, -160, 73, -198, -37, -67, 22, 32, 108, -98, -8, -105, -7, -75, 56, 33, -18, -189, -48, -10, 3, 163, 53, -183, -40, 3, 237, 155, 26, 147, -43, -3, -4, 104, 74, -3, 21, 131, -107, -60, 10, 97, -32, -17, 125, -18, 67, 52, -11, -40, 31, -25, 10, -21, -63, -6, 26, 51, -19, 120, -5, -118, -127, 49, -26, -35, -183, 83, 88, 130, 23, 69, -43, -81, -48, 45, -83, 215, -27, 11, 3, 23, 7, -220, 8, -47, -9, 185, 38, 242, -40, -141, 128, 77, 79, -69, 5, 21, 211, -184, -13, -155, 79, 20, 14, -16, -75, 299, 16, -81, 3, 41, -25, 17, -31, -27, -5, -291, -1, 51, -7, 79, -111, 60, -6, 5, -18, -80, -39, 178, 60, 64, 13, -54, 159, -20, 5, -1, -67, 210, 27, 97, 65, -79, 7, -39, 38, 34, -2, -41, 30, 134, -44, -177, 110, 22, -3, -17, 91, -89, -7, 97, 47, 92, 40, 34, 89, 86, 40, -3, -26, 23, 51, 84, -96, 7, 17, 147, 135, -92, 17, -56, -39, 181, 47, 7, -21, 55, -3, -122, -6, 30, 6, 87, 59, -26, -77, 62, -66, -136, 29, 7, -18, 80, -27, 32, 4, 118, 7, 67, -12, 12, 132, 27, 20, -76, 91, -110, -44, -166, -7, -132, -88, -318, -13, -82, 55, -15, 129, 83, 43, -137, -27, -14, 140, -8, -97, -22, 35, 60, 7, -193, 232, 150, 118, -68, -166, -168, 44, 57, 14, -206, 17, 17, -43, -7, 29, -85, 27, -136, -15, 105, -132, 71, -44, -9, -7, -38, -6, -129, -7, -10, 4, 278, 39, 24, 24, 32, -34, -7, 18, 110, 81, -232, 37, 6, -61, -148, 5, 148, -17, -175, 12, 112, 99, -23, 28, 13, -4, -18, 26, -118, 154, 59, -22, 4, -24, 72, 7, -101, -5, -352, 31, -22, -84, -5, -53, 60, 8, -31, 21, -20, -26, 38, 22, -4, -175, 60, -12, -7, -4, 25, 136, 227, -67, 29, -6, -81, 66, -14, 25, -54, 76, -104, 15, -51, 141, -164, -24, -12, 54, 129, -23, -107, 206, -19, 22, -7, -81, -63, -10, -22, -61, 47, 1, -77, 21, -218, -18, 99, -6, 177, 137, 60, -52, 40, -10, -126, -73, 114, -27, -184, 47, 49, -32, -4, 85, -113, -102, -167, -25, -143, 4, 255, 37, -119, 5, 87, 8, -15, -4, -37, 2, -101, 33, 51, -8, -128, -8, 30, -4, 20, -3, 28, 52, -93, 22, -40, -92, 47, 12, -175, -29, 19, 66, -106, -57, -68, 93, -9, -1, 162, -22, -75, -3, -4, 71, 320, -96, 24, -13, 235, -14, 80, 112, -17, -230, 2, 10, 207, 63, 103, 55, -273, -8, 51, -33, -25, 119, 196, -11, 46, 39, -60, 4, 37, 6, -128, 61, -221, -108, -171, 23, 199, 4, 7, -88, -144, -31, -16, 18, -55, -94, 167, 13, -3, -6, 8, 0, 78, 40, -289, -17, 67, -102, -26, 19, 291, 46, -127, 4, -27, 10, 34, -27, -21, 196, -166, -84, 36, -10, -30, -69, 14, 20, -125, -5, -106, -44, -131, 11, -261, -79, 77, 77, -10, 4, 12, -8, -198, -26, -4, -10, -112, -124, 5, 28, 18, -97, -18, 26, -124, 89, 0, -21, -88, 42, -47, 5, -104, 43, -69, 11, 87, -107, 83, -31, -87, 46, -42, -3, -89, -103, 312, -42, -8, 110, -212, -33, -54, -38, -4, -74, 199, -108, -128, -60, 77, 3, -20, -5, 150, -19, 80, -14, 13, -41, 39, 141, -75, -14, -43, -5, 100, -10, -16, -97, -33, -52, -220, 25, -181, -145, -35, 10, 5, -38, 56, 41, -20, 7, 249, 76, -73, 111, 6, -55, 31, -173, 180, 39, -301, -39, 55, -47, -13, -2, 35, 35, -58, -5, 209, 40, 198, 132, -27, 12, -176, -167, -126, -7, -80, 3, 23, 172, 2, 62, 62, -25, 101, 44, 111, -104, -24, 130, 3, 3, -221, 52, 33, 7, -124, 69, 176, 30, -40, -180, 79, 41, -40, -40, 7, -7, -107, -67, -51, -33, -171, 19, 221, -17, 105, -13, 64, 61, -17, -20, 312, -20, -114, -47, -140, 72, -46, -180, 3, 103, 63, -11, -121, -6, -210, -12, 317, 15, 77, 247, 190, -7, 101, -29, -1, -67, -178, 36, 27, -107, 48, 150, -47, -7, 60, -144, 235, 43, -132, -23, -151, 93, 212, -91, -304, 24, -8, 27, 7, -17, -143, 28, 270, 13, 38, -120, -41, -56, -129, -97, 30, -14, 19, 27, 111, 7, 148, 181, 97, -16, -44, -49, -19, -7, 9, 46, 56, -15, -118, 25, 134, 7, -27, -44, 152, -34, -26, -88, -17, 38, -3, 17, -261, -29, -38, -143, 224, -12, 15, 17, 62, 149, 213, 44, 91, -69, 47, -73, 6, -19, -5, -50, -6, -4, -173, -65, -114, -40, -24, 12, -22, -46, 29, -18, 48, 29, -6, -76, -37, -8, -164, 145, -129, -5, 277, -36, -138, -58, -12, -5, 195, -110, -196, -28, -63, -25, 265, 15, -26, -42, 7, -7, 81, 22, -177, -105, -82, -50, -7, -227, 135, -15, 99, -31, 43, 107, -163, -1, 53, -1, 29, 129, -91, -21, -149, 168, -218, 7, -22, -88, -47, 69, 254, 12, -117, -46, -38, 1, -136, -24, 14, -95, 2, 6, 191, -161, 31, -49, -25, -136, 122, -10, 132, -15, 32, -29, 116, 49, 24, -49, -280, -117, -53, 23, -221, 49, -7, 56, -22, 85, -325, 110, -86, 10, -45, -5, 13, 166, -1, 18, -314, -121, -4, 18, 5, 13, -137, -24, -137, -38, -63, -30, -17, 10, 74, -81, -122, 81, 27, 0, 188, 78, -166, 32, -250, 26, -25, 29, 102, 70, -46, 98, -119, -4, 133, -28, 14, 74, -5, 28, 147, 17, -289, 4, -245, -4, 54, 4, -33, -94, -14, 21, 111, 8, 407, -28, -164, -97, 3, -10, 13, 90, 1, -22, -4, 44, -28, -7, -12, -31, -108, 15, 135, -66, -98, -46, 147, 25, -93, -26, -154, 6, -113, 22, -215, -78, -118, -37, -71, -103, 54, -4, 197, 13, -102, -11, 260, -46, -112, 7, 104, 6, 30, -10, -30, 27, 122, -8, -55, 7, -300, 122, -170, 33, -166, 3, -6, 130, 11, -69, -124, -113, -84, -4, -38, -176, -3, 4, -61, -27, -294, 10, -102, -23, 146, 22, 279, -36, 88, -14, 187, -238, -25, -18, -21, -170, -151, -11, -13, -43, -281, 11, 48, 0, -2, -4, -293, -10, 17, 25, -75, 37, 71, -19, 256, -209, 58, 130, -4, -90, 0, 18, -98, 27, -41, -79, -144, -99, 84, 31, -290, 12, 229, 69, 275, -32, 36, -11, 5, 52, 60, 15, -71, -11, -1, 67, 86, 40, -77, -99, -73, -35, 60, 8, -137, -119, -103, -13, 10, 87, 179, -33, 169, -28, 158, -63, -162, 84, -26, -3, 63, -81, -35, 21, -139, 139, 46, -3, -5, -20, 193, 24, -136, -11, 54, 43, -50, -33, 31, -53, -152, -58, 107, 3], "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": "4030.2.a.j", "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], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0], [1, -1, 0, 1, -1, 0, 0], [1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, -1, -1], [-1, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 1, 1, 0], [0, 0, 0, -1, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0], [1, -1, 0, 1, -1, 0, 0], [0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [-2, 0, -1, 0, 2, -1, 0], [0, 1, 0, 1, 0, -1, -1], [-1, 0, -1, 0, -1, 1, 1], [-1, 0, 0, 0, 0, 0, 0], [-2, 1, 2, -1, 1, 1, 1], [-2, 0, 0, 0, 1, 1, 0], [-2, 0, 1, 1, 0, 1, 2], [0, 0, 0, -1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0], [-3, 1, 1, 0, -1, 1, 2], [1, -1, 0, 1, -1, 0, 0], [-2, 1, -1, -2, 0, -3, -1], [0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [0, -3, -2, 3, -1, 1, 0], [-2, 0, -1, 0, 2, -1, 0], [-1, 1, 0, -1, 1, 0, 0], [0, 1, 0, 1, 0, -1, -1], [0, 0, 2, -1, 0, 0, 1], [-1, 0, -1, 0, -1, 1, 1], [0, 0, 0, 1, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0], [-2, 1, 3, 2, 1, 0, -1], [-2, 1, 2, -1, 1, 1, 1], [-2, 1, -2, -1, 2, -2, -1], [-2, 0, 0, 0, 1, 1, 0], [0, -1, 0, -1, 0, 1, 1], [-2, 0, 1, 1, 0, 1, 2], [-2, 1, 1, 1, 0, 3, -2], [0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 4, -2, 1, 0], [1, 0, 0, 0, 0, 0, 0], [-4, -2, -1, 0, -1, 2, 3], [-1, 0, 0, 0, 0, 0, 0], [-2, 4, 3, 0, -1, -2, -2], [-3, 1, 1, 0, -1, 1, 2], [2, 0, 0, 0, -1, -1, 0], [1, -1, 0, 1, -1, 0, 0], [0, 1, -1, 1, 3, -2, -3], [-2, 1, -1, -2, 0, -3, -1], [-2, -3, -2, 2, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], [-3, -2, -3, -3, 2, -4, 0], [1, 0, 0, 0, 0, 0, 0], [1, -2, -4, 2, 1, -2, -3], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [0, -3, -2, 3, -1, 1, 0], [-4, -1, -3, 1, -2, 3, 0], [-2, 0, -1, 0, 2, -1, 0], [-3, -5, -3, 3, 1, -1, -2], [-1, 1, 0, -1, 1, 0, 0], [-3, -1, 1, 2, -2, 4, 1], [0, 1, 0, 1, 0, -1, -1], [0, 6, 0, 2, -1, -1, -1], [0, 0, 2, -1, 0, 0, 1], [0, 0, 0, -1, 0, 0, 0], [-1, 0, -1, 0, -1, 1, 1], [-5, 1, 1, -5, 2, -2, -1], [0, 0, 0, 1, 0, 0, 0], [0, -2, 2, 2, -5, 1, 0], [-1, 0, 0, 0, 0, 0, 0], [1, -5, -3, 1, 2, -1, -2], [-2, 1, 3, 2, 1, 0, -1], [0, -1, 5, 3, 0, 1, 0], [-2, 1, 2, -1, 1, 1, 1], [2, 0, 1, 0, -2, 1, 0], [-2, 1, -2, -1, 2, -2, -1], [3, 7, 3, -1, 0, -2, 1], [-2, 0, 0, 0, 1, 1, 0], [-2, 6, 1, -1, -1, 0, 1], [0, -1, 0, -1, 0, 1, 1], [-1, 1, 0, -1, 1, 0, 0], [-2, 0, 1, 1, 0, 1, 2], [0, 0, 0, -1, 0, 0, 0], [-2, 1, 1, 1, 0, 3, -2], [1, 0, 1, 0, 1, -1, -1], [0, 0, 0, -1, 0, 0, 0], [2, -1, 1, 1, 1, 2, -3], [0, 0, 0, 4, -2, 1, 0], [-3, 0, 3, -1, 0, 2, 4], [1, 0, 0, 0, 0, 0, 0]]}