# Stored data for newform 1815.2.a.o, downloaded from the LMFDB on 18 April 2024.
{"label": "1815.2.a.o", "space_label": "1815.2.a", "level": 1815, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816743191, "dim": 4, "is_polredabs": true, "nf_label": "4.4.725.1", "trace_hash": 1293992228785766581, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-11, -10, 4, 5, 1]], [7, [41, 17, -16, -2, 1]]], "qexp_display": "q+(-2+\\beta _{1}+\\beta _{2})q^{2}+q^{3}+(3-\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7260, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 14.49284796686239, "hecke_ring_index": 1, "level_radical": 165, "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": [1815, 1, [1211, 727, 1696], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 725, "field_disc_factorization": [[5, 2], [29, 1]], "field_poly": [1, 1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.702", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "35.837", "prec": 20}, {"__RealLiteral__": 0, "data": "4.818", "prec": 17}, {"__RealLiteral__": 0, "data": "512.660", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [11, -1]], "trace_display": [-5, 4, -4, 2], "traces": [0, 4, -5, 4, 9, -4, -5, 2, -15, 4, 5, 0, 9, -3, -5, -4, 15, -20, -5, -3, -9, 2, 0, -5, -15, 4, 6, 4, -3, -5, 5, -1, -30, 0, 25, -2, 9, -7, 1, -3, 15, -20, -5, 2, 0, -4, -7, -20, 15, 8, -5, -20, 7, 6, -5, 0, 10, -3, -21, -5, -9, 7, 12, 2, 49, 3, 0, -13, -45, -5, 5, -25, -15, -23, 7, 4, 7, 0, 6, 0, -15, 4, 11, -33, -3, 20, -12, -5, 0, 16, 5, -24, 0, -1, 17, 3, -30, 0, -25, 0, 9, 5, 25, -13, -26, -2, 28, -13, 9, 0, 0, -7, 20, 1, 1, 5, 40, -3, 32, -10, 15, 0, 45, -20, -11, -4, -5, 22, -30, 2, -6, -3, 0, -59, 20, -4, 75, 33, -7, 2, 3, -20, 26, 0, 15, 5, 7, 8, -42, -7, -5, 10, -6, -20, 0, 1, 7, -15, -4, 6, 30, 0, -5, 14, -15, 0, 24, -30, 10, -23, -25, -3, -23, -17, -21, 2, 0, -5, -2, -5, -9, 43, 23, 7, 17, 7, 12, 0, -45, 2, -1, 27, 49, -26, 30, 3, -2, -62, 0, -21, -15, -13, -38, -30, -45, 20, 55, -5, 15, 0, 5, 22, -44, -25, -41, -2, -15, -38, -65, -23, 0, 15, 7, -16, -75, 4, 62, -43, 7, -40, 7, 0, -54, -3, 6, 20, -10, 0, 25, -22, -15, 4, 0, 4, -58, -8, 11, 29, 13, -33, 5, -42, -3, 0, -33, 20, 31, 31, -12, -6, -7, -5, 82, -6, 0, -6, 118, 16, -83, 34, 5, -47, -75, -24, -60, 0, 0, 31, 8, -1, -10, 0, 17, -3, -45, 3, 0, 30, -30, 32, 21, 0, -3, 15, -25, 5, 103, 0, 9, -6, 9, 11, 17, 5, -35, -7, 25, -6, 0, -13, -12, 38, -26, -24, -47, -2, 45, 28, 28, 0, -49, -13, 24, 15, 9, -3, 66, 0, 14, 50, 0, -26, -23, -7, 82, 13, 20, -33, 36, 1, 45, 0, 1, 25, 87, 5, 5, -53, 40, -27, -5, -3, 0, -66, 32, 25, 41, -10, 3, 0, 15, 33, -24, 0, 16, 23, 45, -10, 10, -20, -7, -42, -11, 25, 0, -4, 78, 27, -5, -16, -7, 22, 27, 40, -30, 0, 83, 2, -50, -38, -6, 25, 50, -3, 110, 0, 0, 13, 56, -59, 15, -11, 20, 18, 30, -4, 67, 0, 75, -36, -11, 33, -23, -5, -7, 33, 7, 2, 0, -44, 3, 8, -103, -20, 67, -20, 26, 26, 67, 0, 12, -12, 15, -39, 66, 5, 100, 14, 7, 47, 0, 8, -30, 38, -42, -16, 101, -7, 142, 21, -5, 0, -39, 10, 16, 24, -6, -13, 19, -20, 0, 22, 0, 8, 105, 1, 15, 13, 7, 106, -17, -15, -42, 0, -4, -3, 15, 6, 35, 17, 30, -30, 1, 0, 0, 0, -5, 34, 50, 14, 25, -4, -15, 25, -34, 0, -70, -70, 24, 57, -9, -30, 39, -10, 10, -5, 0, -23, 72, -21, -25, -99, -65, -3, -101, 13, -23, 0, 66, -17, 26, -41, -21, 83, -108, 2, -46, 5, 0, -65, -28, -5, -144, 18, -2, 13, 160, -5, 11, 0, -9, 39, 48, 43, 150, 0, 23, 42, 93, 7, 0, 62, 17, 5, -24, 7, -13, 4, 12, -55, -20, 0, 81, -80, -45, -1, 28, 2, 89, 23, -1, 79, 0, 27, -72, -5, 49, 33, -40, -26, -40, 26, 30, 0, 23, 3, -84, 2, -2, 63, -32, -62, -130, -42, 0, 10, -17, -21, -11, 24, -15, -3, 54, -13, -20, 0, -38, 97, 142, -30, -45, -14, -45, -5, 80, 20, 0, 45, 55, 40, 11, -5, -138, -17, 15, 4, 98, 0, 80, 35, 5, -17, -116, 22, -28, -22, -44, -66, 0, -25, 30, 6, -41, -16, -25, -2, -5, 65, -15, 0, 6, -38, -81, -6, -65, 3, 70, -23, -84, 52, 0, -24, -19, 15, 11, 59, 7, 36, -170, -16, -20, 0, -75, 19, -1, 4, -133, -52, 62, -20, -75, -43, 0, 32, 7, -33, 30, -40, -95, -3, 7, -65, -27, 0, 73, -2, -54, 100, 174, -3, -3, 91, 6, 40, 0, 20, 58, 55, -10, 68, -26, 0, -108, -7, 25, 0, 5, -22, -121, 72, -15, -69, -139, 4, 38, -5, 0, -58, -68, 4, -7, -10, -58, -113, -35, -8, 21, 0, 11, 24, 42, 29, 79, 21, 13, 7, 22, -33, 0, 21, 5, 5, -10, -42, -58, -10, -3, 6, -46, 0, 6, -81, -33, 5, -58, 20, -186, 51, 31, -98, 0, 31, -201, -57, -12, -1, 75, -6, -68, -67, -7, 0, 35, -5, -20, 15, 82, 67, -187, -6, 4, -22, 0, -9, -100, -6, -76, -27, 118, 100, -30, 16, -126, 0, -83, 0, -8, 34, -12, -7, 5, 7, -15, -47, 0, -14, -75, 25, 74, -24, 15, 69, -60, -3, -40, 0, -74, 27, 0, -37, -24, 31, -18, -40, 8, 30, 0, -1, 83, -56, -10, -3, 150, 0, 67, 23, 17, 0, -205, -3, 25, 33, -45, 9, -105, 3, -94, -74, 0, 115, 23, 30, 76, -11, -30, 17, 74, 32, -98, 0, 21, -79, -130, 0, -31, -2, -3, -25, -76, 15, 0, 9, -25, -36, -35, 5, 10, 23, 103, -69, 2, 0, -66, -89, 9, 5, -220, -6, 26, 4, 9, -30, 0, 11, -27, -43, 17, 18, -38, 5, -23, -42, -35, 0, -152, -7, -110, -79, 25, 23, -17, -6, 37, 38, 0, -7, 50, -13, -52, -7, -12, -26, 62, 38, -143, 0, -26, -105, -155, -24, 45, 34, -47, 24, 15, -2, 0, -78, 45, 62, 1, 28, -50, 1, 28, -27, -27, 0, 85, 44, -49, -73, 23, -13, -31, 26, 24, 47, 0, 15, -30, 38, 9, 81, -52, -3, -155, 84, 66, 0, 2, 0, 18, 106, 14, 62, 105, 50, -21, 37, 0, -97, 134, -26, 158, 21, -23, -72, -231, -7, 15, 0, 82, 25, -177, 13, 59, 72, 20, 39, 38, -33, 0, 132, 36, 30, -112, 1, -34, 107, 45, 16, 211, 0, 68, -20, 1, 48, 161, 25, -55, 65, 87, -34, 0, 5, -161, -35, 5, -18, -15, -53, -55, -51, 40, 0, -105, -27, 133, 18, -5, -70, 69, -3, -60, -22, 0, 45, 145, -66, 44, 54, 32, 27, 157, 25, -47, 0, 41, 16, 41, -10, -105, -6, 3, 2, 4, 0, 0, 48, 15, 28, 79, 33, -92, 38, -24, 68, -245, 0, 65, 98, 16, 15, -145, 23, -140, -102, 45, 70, 0, -10, -98, 41, 10, -15, -77, -20, 111, -40, -7, 0, -3, -42, 19, 16, -11, -102, 47, 25, 75, -44, 0, 41, -115, -4, 38, 30, 78, -16, -62, 27, 52, 0, -5, 43, -130, -16, 15, 65, -7, -13, -33, 22, 0, 40, 27, 25, 215, 40, -7, -43, -30, 29, -29, 0, 72, 32, 83, -84, 54, 2, -88, -147, -50, 3, 0, -38, -40, -30, -6, -137, 40, 25, -113, -20, 50, 0, -143, -3, 10, 17, 110, 86, 219, 0, 31, 16, 0, 42, -25, 13, 41, -64, 56, 22, -1, -59, -1, 0, 15, -44, 25, -11, -189, -4, 20, 125, 3, 18, 0, 89, 30, 115, -206, -4, -293, -50, 67, -33, 58, 0, -9, -57, 75, 8, -43, -36, -116, 27, -11, 4, 0, 33, -88, -29, -23, 89, 65, -5, -13, 115, -7, 0, 278, 33, -31, -14, 7, -115, -5, 2, -159, 35, 0, 42, -128, -44, -35, -6, 3, -5, 148, 8, 170, 0, -103, 119, -12, -20, 33, -64, 67, -169, 57, -20, 0, -1, 26, 62, -31, 26, 47, -114, 67, -31, -47, 0, 16, 44, 12, -30, -35, -12, -78, 6, 15, -107, 0, -39, 7, -32, 66, -121, 74, 5, -49, -27, 100, 0, -82, 14, -93, -49, 7, 6, 165, 47, -93, 55, 0, -139, 65, 8, 9, 6, -30, 91, 100, 38, -118, 0, -42, 10, 35, -16, 298, -64, 101, 101, 83, -7, 0, 0, 142, -34, -100, 21, -153, 133, -5, 62, 269, 0, -24, 47, -39, -52, 35, 10, 75, -52, 16, -6, 0, 24, -159, 9, -6, -25, 60, -13, -85, -1, 19, 0, 151, -20, 43, -51, 0, -9, 237, 22, 45, -31, 0, 187, -98, 8, -8, 23, 105, -123, -55, 1, -267, 0, 15, 80, 10, 13, -94, -80, 7, 0, -137, 106, 0, -28, -17, 165, -91, -15, -54, 3, -42, 10, -66, 0, 45, -25, -4, -93, 70, -3, -42, 72, 15, 113, 0, 6, -28, 23, 35, -30, 155, 17, -187, 11, 30, 0, 20, -30, 158, -32, 1, 60, -91, 0, -21, -14, 0, 1, 60, 0, 70, -68, -5, 67, 3, 34, 60, 0, 50, -15, 125, 14, 115, 64, 25, 59, -85, -4, 0, -5, -15, 56, -64, 25, -103, -116, -34, -7, -212, 0, 112, 78, -70, -110, -9, -70, 5, -6, 24, 6, 0, 57, -28, -56, -9, -47, 58, -30, -11, -11, 39, 0, -8, -10, -17, 21, 10, -80, -236, -5, 109, -54, 0, -27, 35, -23, 36, -89, 72, 7, 25, -21, 108, 0, -25, 14, 230, -99, -29, 6, -65, -79, 129, -3, 0, 20, -101, -9, 357, 13, 26, 120, -23, 42, 12, 0, -175, -24, 66, -38, 72, -17, 218, 75, 26, -43, 0, -41, 0, 24, -21, -90, 5, 83, 47, 48, -108, 0, -64, 2, 295, -77, -46, 126, -45, 5, -84, 51, 0, -28, 68, -65, 238, -59, -28, 137, 119, -5, 60, 0, -144, 28, -85, 18, 49, 8, -2, 135, 249, 13, 0, 41, 160, -138, -24, -5, -17, 29, 11, -15, 115, 0, -21, -89, -9, -81, 23, 39, -87, 3, 48, 145, 0, 43, -66, -114, 150, 49, -133, 0, -26, -120, 23, 0, -14, 42, 44, 89, 93, -50, -203, 7, -55, 0, 0, 22, 195, 62, 18, 26, 17, -100, -28, 5, 23, 0, -24, 60, 12, 7, 125, 156, -13, -74, -82, 4, 0, -116, 12, -13, -259, -55, 139, 63, -20, 64, 70, 0, -252, 33, 81, 92, 28, -80, -36, -3, -45, 31, 0, -1, 281, 9, 28, 127, -45, 2, 6, 32, 89, 0, 17, 23, 71, -16, -1, -36, 275, 79, -9, -25, 0, -25, -47, 27, -87, -145, -72, 16, -267, -5, -21, 0, 49, 112, -5, 33, -49, 2, -40, 53, 139, -26, 0, 2, -40, -121, 73, 26, 300, 27, 30, -23, 54, 0, 5, 65, 23, -86, -7, 3, 67, 114, -84, 53, 0, 2, 92, -101, -2, 66, -50, 63, 130, -175, -32, 0, -17, -62, 72, -25, -130, 22, 131, -42, -41, -41, 0, 44, -31, 10, 226, -76, -17, 7, -3, -21, 228, 0, -11, 0, -54, 24, -56, 43, -15, 72, -140, -3, 0, -33, 54, -25, -100, -13, 24, 107, -20, 96, 69, 0, 94, -26, -38, 65, -16, 97, 3, 60, 142, -23, 0, -30, 227, -3, -45, 116, 236, -14, 101, 10, -45, 0, -173, -5, -10, -143, 80, 30, -98, 20, -62, 58, 0, 16, 7, 45, -157, 0, 55, 42, -40, 40, -6, 0, 11, -82, -18, -5, -175, -25, -138, 74, 103, -17, 0, -124, 15, 101, 172, 4, 136, -68, 98, 14, -78, 0, -169, 87, 80, -27, 90, 35, -71, -59, 5, 12, 0, -17, -18, 16, -116, -21, -101, 22, 7, -42, -28, 0, -100, -22, -184, -71, -44, 31, -27, -66, 30, -89, 0, -40, 7, -25, -75, -64, 30, -5, 69, 6, -5, 0, -41, 196, 59, -16, -83, 39, -25, 29, -54, -2, 0, 16, -5, -112, 50, 65, -194, -115, -15, 38, -186, 0, 119, 82, 6, 16, 70, -38, -157, -25, -81, 51, 0, -6, -50, 75, -65, -19, 81, 3, -125, -20, 70, 0, -110, -23, -200, -1, -84, 0, 99, 52, 9, 44, 0, -69, 94, -24, -211, -13, -19, 51, -160, 15, -56, 0, 11, -111, 72, 59, 292, -166, 7, 136, -15, 36, 0, -179, -170, 11, -160, -16, 381, -75, -20, -236, -15, 0, -217, -18, -75, 114, -150, 19, -30, -27, -1, 16, 0, 4, -279, -23, -133, 79, -67, -52, 60, -27, 62, 0, -1, -20, -49, 73, -75, 19, 30, -43, -184, 36, 0, -58, -190, 32, 11, 145, 7, 123, -52, -33, -234, 0, 30, 92, 23, -40, -92, 73, -95, 5, 135, -3, 0, -13, 7, 20, 284, -65, -225, -33, -27, -98, -9, 0, -7, 110, 73, -95, 179, -2, 117, -1, -54, -177, 0, 100, 238, 12, 174, 44, -390, -3, 154, -132, -3, 0, -33, 91, -49, -8, 6, 164, 55, 40, 103, 4, 0, 2, -124, 20, -200, 169, 58, 0, -67, 55, -257, 0, -10, 20, -80, 68, -230, 71, -26, 36, -22, 0, 0, -26, -108, 48, -93, -7, -67, -73, 25, -9, 25, 0, 103, -41, 5, 62, -12, -22, -66, 147, -121, 12, 0, 72, -90, -110, -15, -57, 90, -69, -136, 39, -139, 0, 162, 4, -66, -24, 38, -186, -105, -5, 150, -106, 0, 7, -100, -58, -77, -128, -68, -14, -34, 4, 352, 0, -7, -77, 205, -10, 87, -47, -58, -57, -141, -113, 0, 71, -35, 74, 57, -8, 7, -14, 21, 24, 30, 0, 235, 57, 11, -38, -231, 24, 203, 124, 42, 67, 0, 29, 55, 16, 79, 15, -31, 21, -101, -25, 13, 0, 198, 7, 20, 24, 22, 74, -142, -33, 166, -42, 0, -21, 30, 21, 139, -26, 5, -35, -80, 5, 26, 0, -10, -46, -38, -42, 39, 295, -58, 84, -188, -10, 0, -63, -3, -44, -16, 6, 332, -60, -46, -24, -137, 0, -100, 75, 6, 7, -47, -81, 109, 13, -33, 163, 0, 5, -19, 37, -58, -173, -144, 20, -383, 191, -186, 0, 0, 51, 110, -5, 31, -22, -64, -98, 103, 35, 0, 257, -120, 31, -2, -8, -201, 82, 158, -57, -105, 0, -12, 38, 326, -1, 119, 9, 75, -165, -15, -6, 0, 120, -68, -13, 269, -67, 106, 6, -7, 83, 400, 0, 39, -106, 35, 62, 167, -5, 17, -129, -20, -78, 0, 15, 218, -132, 82, 181, 42, 67, 110, -10, -187, 0, -72, -6, -377, -60, 4, -38, -182, -22, 37, 3, 0, 38, 125, -9, -15, -22, -100, 202, -90, -6, -29, 0, -76, 99, -35, -27, 26, -144, 118, -17, 4, 100, 0, 21, -30, -76, 206, 16, -203, 30, -126, 78, 351, 0, -1, -116, -83, 132, -130, 0, -35, -52, -8, 101, 0, 34, -165, -23, -12, 0, -189, -7, 292, 46, 5, 0, 427, 7, 114, -34, -15, -16, -103, -47, -50, 77, 0, 34, -14, -14, -106, -57, -75, -39, -25, 25, -10, 0, 74, 4, 125, -24, -9, -113, 15, 66, -33, 69, 0, -25, -60, 58, 75, -3, 34, -143, -40, 12, -298, 0, -85, -110, -74, 64, 70, 27, -35, -43, 0, 70, 0, -37, -437, 102, -24, -142, 63, 31, 97, -57, -18, 0, 128, -40, 9, -50, 8, -46, 242, 30, -96, 70, 0, -89, -39, -1, 385, 40, 83, 10, 210, -56, 0, 0, -10, -81, 35, -3, -112, 5, 150, -36, -258, 0, 0, 119, 67, 35, -267, 23, 58, -192, 17, 171, -72, 0, 96, -80, -205, 21, 328, -3, 39, 282, 25, -33, 0, 33, 146, 99, -45, 50, -264, 9, 65, 49, -105, 0, -84, 3, 174, -50, -94, -140, 101, -74, 44, -79, 0, -13, -70, 115, -76, -91, 23, -29, -158, 30, 30, 0, 76, 60, 120, -11, -66, 122, -30, -7, 242, 17, 0, 17, 74, -107, -26, 32, 101, -61, -98, 41, 150, 0, -290, -64, 21, -10, 84, -79, 42, -83, -130, 40, 0, 0, 108, -39, -31, -64, 140, -2, 21, 101, -3, 0, 46, -25, -241, 35, -76, -5, 7, 15, 51, 151, 0, -165, 235, 9, -19, 65, -25, -45, 4, -36, 28, 0, -35, -93, -163, 5, -112, -80, 10, 3, 144, 23, 0, -180, 103, -18, -131, -69, 6, 75, 2, 29, -460, 0, 151, -13, -66, -95, -72, -89, -160, 60, 9, -201, 0, 5, 20, -145, -220, 31, -11, -6, 44, 12, 26, 0, 386, 4, -267, 103, 9, 81, -51, -30, -260, -39, 0, 86, -117, 11, -48, 60, -27, -122, -25, -43, -120, 0, 17, 63, -150, 18, 165, -74, -38, 0, 215, 5, 0, -5, -23, -129, 152, -42, 108, -42, -35, 0, -37, 0, -93, 91, -152, -138, 165, -7, 10, 140, -110, -72, 0, -79, -288, 74, 25, -62, -13, 23, 100, 19, -17, 0, -19, -6, -450, -5, 37, 150, 80, 38, 24, -70, 0, 47, -361, -7, 107, -59, 50, -11, 13, -13, -90, 0, -52, -4, 233, -7, 75, 34, -12, -153, 341, -26, 0, 55, 62, -99, -185, 38, 20, 42, -143, -74, 266, 0, -81, -58, -26, 24, -81, -105, 330, -75, -155, 80, 0, -24, 84, 73, 45, 49, -120, 34, 172, 1, -47, 0, 45, 24, -28, 101, 15, 93, -75, -2, 293, -180, 0, 150, -89, -78, 98, 52, 45, -23, 133, 62, -144, 0, 1, -95, 38, 28, -24, -79, -50, -157, 23, 1, 0, 2, 28, 32, 85, -27, -66, -10, -27, -104, 72, 0, -164, 115, 85, 5, 262, 44, 157, 58, -49, 81, 0, -73, 116, -33, 23, -19, -121, -13, 40, -175, -31, 0, 51, 26, 100, -27, 24, 125, 40, 47, 189, -3, 0, -26, -7, 15, -28, 200, -30, 28, 51, 38, 72, 0, 9, -73, -155, 81, -23, -12, -52, -154, 115, -3, 0, -139, -155, 24, 84, 84, -208, 18, 66, -2, -200, 0, 0, 30, 2, 85, -251, 0, 16, -63, 18, 114, 0, 106, 32, 49, 14, -32, 86, 62, 264, -111, 105, 0, 130, 50, 238, 73, -21, 42, -6, 37, 401, 69, 0, 41, -174, -97, -102, -10, 134, -88, 16, -26, 17, 0, 158, -126, -67, 21, -119, 0, -23, -51, 11, -72, 0, 21, -231, -24, 206, -7, 163, 125, 15], "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": "165.2.m.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, 0], [1, 0, 0, 0], [-2, 1, 1, 0], [1, 0, 0, 0], [3, -1, -2, 1], [-1, 0, 0, 0], [-2, 1, 1, 0], [0, -2, 1, 1], [-4, 1, 3, -3], [1, 0, 0, 0], [2, -1, -1, 0], [0, 0, 0, 0], [3, -1, -2, 1], [-1, 1, -1, 1], [1, 3, -2, -4], [-1, 0, 0, 0], [5, -5, -5, 5], [-5, 0, 0, 0], [-2, 1, 1, 0], [1, 3, -2, -3], [-3, 1, 2, -1], [0, -2, 1, 1], [0, 0, 0, 0], [0, -1, -1, -1], [-4, 1, 3, -3], [1, 0, 0, 0], [1, 0, 2, -1], [1, 0, 0, 0], [-4, -5, 0, 9], [1, -1, -4, 0], [2, -1, -1, 0], [0, 3, 0, -2], [-7, 8, 4, -9], [0, 0, 0, 0], [10, -5, -5, 0], [0, 2, -1, -1], [3, -1, -2, 1], [0, 1, 1, -5], [-4, -7, 3, 9], [-1, 1, -1, 1], [4, -1, -3, 3], [-6, -4, -1, 5], [1, 3, -2, -4], [3, 0, 1, -6], [0, 0, 0, 0], [-1, 0, 0, 0], [-1, -3, -1, 1], [-6, -4, 1, 3], [5, -5, -5, 5], [4, -2, 1, -4], [-2, 1, 1, 0], [-5, 0, 0, 0], [2, -1, 0, 0], [1, 6, 3, -5], [-2, 1, 1, 0], [0, 0, 0, 0], [6, 8, 4, -15], [1, 3, -2, -3], [-6, -3, 4, -1], [-5, 1, 1, 6], [-3, 1, 2, -1], [-3, 3, 6, 2], [0, -4, 1, 7], [0, -2, 1, 1], [8, -11, -2, 16], [1, -1, 1, -1], [0, 0, 0, 0], [-5, -5, 5, 1], [-15, 5, 10, -5], [0, -1, -1, -1], [-1, -3, 2, 4], [-4, 3, -2, -4], [-4, 1, 3, -3], [-2, 3, -5, -4], [1, -9, -5, 11], [1, 0, 0, 0], [9, 11, -1, -19], [0, 0, 0, 0], [1, 0, 2, -1], [-2, -2, -2, 7], [-5, 5, 5, -5], [1, 0, 0, 0], [11, 3, -4, -14], [-10, -5, -2, 8], [-4, -5, 0, 9], [5, 0, 0, 0], [-5, -8, -4, 12], [1, -1, -4, 0], [0, 0, 0, 0], [2, 2, 0, 3], [2, -1, -1, 0], [-6, 2, -5, 4], [1, 2, 0, -3], [0, 3, 0, -2], [13, 1, -8, -10], [-1, -3, 2, 3], [-7, 8, 4, -9], [-1, 4, 3, -3], [-7, -3, -3, 6], [0, 0, 0, 0], [3, -1, -2, 1]]}