# Stored data for newform 1521.2.a.m, downloaded from the LMFDB on 18 April 2024.
{"label": "1521.2.a.m", "space_label": "1521.2.a", "level": 1521, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562001905, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1153947930314178233, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, -1, 1]], [5, [-2, 3, 1]], [7, [-2, -3, 1]]], "qexp_display": "q+\\beta q^{2}+(2+\\beta )q^{4}+(-2+\\beta )q^{5}+(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": 6084, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 12.145246147436746, "hecke_ring_index": 1, "level_radical": 39, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.051", "prec": 17}, {"__RealLiteral__": 0, "data": "1.900", "prec": 17}, {"__RealLiteral__": 0, "data": "0.169", "prec": 17}, {"__RealLiteral__": 0, "data": "8.873", "prec": 17}, {"__RealLiteral__": 0, "data": "1.099", "prec": 17}, {"__RealLiteral__": 0, "data": "57.142", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [13, 1]], "trace_display": [1, 0, -3, 3], "traces": [0, 2, 1, 0, 5, -3, 0, 3, 9, 0, 7, -4, 0, 0, 10, 0, 3, -1, 0, -6, 1, 0, -2, -4, 0, 3, 0, 0, 16, -1, 0, -1, 9, 0, -9, 4, 0, -11, 14, 0, -5, 1, 0, 5, -10, 0, -2, 0, 0, -1, -24, 0, 0, -11, 0, 6, 22, 0, 25, -14, 0, 16, 8, 0, 7, 0, 0, -5, -11, 0, 2, 28, 0, 12, 3, 0, 2, -6, 0, 15, 21, 0, 9, -10, 0, -7, -6, 0, -18, 18, 0, 0, -10, 0, -34, 26, 0, 13, 25, 0, -18, 11, 0, -11, 0, 0, -31, 0, 0, -15, -14, 0, 30, 9, 0, 6, 23, 0, -24, -10, 0, -14, 25, 0, 6, -15, 0, 15, -23, 0, 0, 10, 0, 8, 6, 0, -13, -7, 0, -7, 10, 0, 14, 0, 0, 27, -11, 0, -19, -9, 0, -6, -10, 0, -20, 10, 0, 16, 16, 0, -5, -6, 0, -11, 11, 0, -22, 4, 0, 0, 5, 0, 4, -24, 0, -21, -6, 0, 26, 18, 0, 7, 0, 0, -18, 25, 0, 2, -34, 0, -38, 10, 0, -6, -2, 0, 23, 2, 0, -1, -12, 0, -3, 24, 0, 7, -14, 0, 0, 12, 0, 27, -53, 0, -34, -16, 0, 7, -50, 0, -2, 0, 0, -16, 22, 0, 47, 6, 0, 16, -14, 0, 21, -52, 0, -34, -52, 0, -22, -26, 0, 15, -7, 0, 57, 27, 0, 0, 4, 0, 1, 12, 0, 8, 16, 0, -17, -13, 0, -8, 0, 0, 56, 6, 0, -9, 4, 0, -4, 18, 0, 31, -27, 0, 5, -6, 0, 23, 56, 0, 18, 15, 0, -15, 70, 0, 0, 10, 0, -25, -29, 0, 13, 45, 0, 4, -41, 0, -13, 0, 0, -1, -54, 0, 42, -7, 0, -41, -32, 0, -12, 30, 0, -15, -43, 0, 46, -9, 0, 2, -19, 0, -20, -14, 0, 0, -48, 0, 13, -34, 0, 27, -42, 0, -32, 16, 0, -4, 0, 0, -9, 2, 0, 3, 14, 0, 22, -14, 0, 7, -36, 0, -18, 23, 0, -42, 62, 0, 26, 6, 0, 14, 29, 0, 0, -35, 0, 3, -6, 0, -47, -42, 0, 32, 18, 0, -34, 0, 0, -35, 14, 0, -12, 4, 0, -8, -71, 0, 24, -31, 0, 2, 21, 0, -50, -14, 0, -13, -94, 0, -72, 33, 0, 0, 19, 0, 46, 22, 0, 12, -5, 0, -36, -38, 0, -2, 0, 0, -28, 52, 0, -46, -12, 0, -75, 24, 0, 41, -34, 0, 26, -14, 0, 34, 12, 0, -80, 12, 0, -15, 10, 0, 0, 20, 0, -10, -8, 0, 2, 0, 0, -2, 65, 0, -14, 0, 0, 16, -26, 0, -2, -53, 0, 41, 75, 0, -26, 52, 0, 1, 34, 0, -80, -10, 0, -60, -42, 0, 38, 4, 0, 0, -35, 0, -35, -28, 0, -6, 89, 0, -29, 56, 0, -25, 0, 0, 24, 42, 0, 24, -29, 0, 108, 40, 0, -25, 4, 0, 46, -7, 0, 1, -39, 0, 87, 8, 0, 0, -38, 0, 0, 47, 0, 10, 76, 0, 54, -8, 0, -38, -13, 0, 20, 0, 0, -34, -14, 0, -42, 2, 0, 10, -44, 0, -13, -20, 0, -21, -9, 0, 48, 54, 0, 31, 37, 0, 42, -57, 0, 0, 6, 0, -35, 22, 0, 29, 18, 0, 126, -32, 0, 14, 0, 0, 22, -6, 0, 47, -4, 0, 25, -32, 0, 22, 37, 0, 31, 54, 0, 20, -32, 0, 9, 27, 0, -2, -31, 0, 0, 42, 0, -43, 8, 0, -66, 21, 0, -32, -10, 0, 39, 0, 0, 12, 22, 0, -44, -1, 0, -5, 8, 0, -2, 44, 0, 16, 18, 0, -11, -3, 0, 33, 76, 0, -81, -14, 0, 0, -50, 0, 43, -7, 0, -7, -32, 0, 10, 54, 0, 28, 0, 0, -70, -38, 0, 36, 27, 0, -68, -12, 0, -36, 56, 0, -62, -12, 0, 2, -24, 0, -26, -32, 0, -30, 15, 0, 0, -10, 0, 11, -23, 0, -16, -2, 0, 19, -24, 0, -18, 0, 0, 49, -26, 0, 78, 70, 0, -9, 46, 0, -78, -14, 0, 50, -14, 0, 37, 8, 0, -18, 98, 0, 98, 2, 0, 0, 62, 0, 54, 22, 0, -25, -95, 0, 43, -78, 0, 1, 0, 0, 59, 6, 0, -74, 78, 0, -18, 10, 0, -4, 3, 0, -106, -50, 0, 5, -35, 0, 22, -34, 0, 14, -102, 0, 0, -42, 0, 60, 8, 0, 66, -6, 0, -65, 8, 0, 104, 0, 0, 36, -4, 0, -83, -32, 0, -27, 50, 0, 61, 14, 0, -56, 18, 0, 75, -75, 0, -43, -46, 0, 44, 56, 0, 0, 70, 0, -96, 42, 0, 34, -12, 0, 25, -24, 0, -8, 0, 0, 41, -21, 0, -1, 94, 0, -6, -26, 0, -32, 57, 0, 9, -20, 0, 16, -58, 0, -104, 20, 0, -6, -18, 0, 0, -25, 0, -40, -4, 0, -8, 2, 0, 19, 11, 0, 42, 0, 0, -21, -93, 0, 12, 22, 0, 4, 114, 0, -34, -67, 0, 45, -6, 0, 10, 28, 0, 70, 51, 0, 26, -30, 0, 0, -110, 0, -28, -14, 0, -43, 18, 0, -42, 47, 0, -3, 0, 0, -92, -74, 0, 31, 46, 0, -40, -68, 0, -10, -26, 0, 34, 26, 0, 31, -18, 0, 83, 15, 0, 56, -2, 0, 0, -28, 0, 20, 93, 0, 6, 66, 0, 56, 10, 0, -69, 0, 0, -42, 46, 0, 21, 5, 0, 54, -130, 0, 26, 14, 0, -11, -8, 0, -34, 28, 0, -2, -72, 0, 12, -28, 0, 0, 72, 0, -62, 4, 0, -32, -14, 0, -32, -2, 0, -53, 0, 0, -5, -59, 0, 10, -63, 0, 54, -40, 0, 49, 14, 0, 75, 77, 0, -36, 25, 0, -6, -14, 0, -54, -21, 0, 0, -10, 0, -10, 4, 0, 140, -92, 0, 0, 80, 0, -59, 0, 0, 24, 132, 0, -14, -18, 0, -35, 47, 0, 20, -5, 0, -2, 76, 0, 39, 50, 0, 45, 26, 0, -113, -24, 0, 0, 61, 0, -30, 18, 0, -60, 68, 0, -54, -25, 0, 88, 0, 0, 83, -22, 0, -52, -114, 0, 96, 85, 0, -5, 66, 0, -4, -66, 0, -60, -19, 0, -31, -47, 0, 37, 36, 0, 0, -26, 0, 57, 34, 0, 18, 31, 0, 33, -6, 0, -50, 0, 0, 0, 107, 0, 18, -2, 0, 26, 5, 0, -10, 82, 0, 66, -70, 0, -23, -64, 0, -27, 36, 0, -58, 56, 0, 0, 92, 0, 83, -5, 0, -22, 28, 0, 31, 24, 0, 27, 0, 0, 18, 8, 0, -16, -5, 0, -40, 2, 0, -104, -11, 0, -12, 22, 0, -26, 42, 0, -118, -6, 0, -59, 58, 0, 0, -58, 0, 14, 42, 0, 48, 38, 0, -64, 49, 0, -54, 0, 0, -14, 79, 0, -84, 18, 0, 78, 62, 0, -33, -28, 0, -31, 121, 0, -24, 102, 0, 0, -24, 0, -24, -92, 0, 0, -41, 0, 141, -68, 0, 25, -18, 0, -49, -10, 0, 90, 0, 0, -64, 30, 0, 50, -81, 0, 6, -65, 0, -14, -78, 0, -49, -2, 0, -78, -16, 0, -38, -45, 0, 22, 25, 0, 0, 70, 0, -78, -113, 0, -60, 83, 0, 53, -60, 0, -43, 0, 0, 34, 108, 0, 28, 11, 0, -18, 58, 0, 124, -28, 0, -36, 59, 0, -12, 44, 0, 84, 21, 0, 41, 28, 0, 0, 8, 0, 48, -12, 0, 36, -99, 0, 44, 8, 0, 32, 0, 0, -46, -51, 0, 111, -51, 0, -97, -72, 0, 113, -148, 0, -44, -3, 0, 28, -18, 0, 112, -22, 0, -30, 48, 0, 0, -54, 0, -91, -92, 0, -2, -44, 0, 20, -16, 0, 13, 0, 0, 42, -136, 0, -40, -40, 0, -89, -69, 0, 110, 60, 0, 69, -66, 0, 28, 72, 0, -11, -50, 0, -16, -2, 0, 0, 6, 0, -50, -16, 0, -78, 19, 0, 7, -84, 0, -77, 0, 0, -90, -106, 0, 28, 48, 0, 15, 53, 0, -102, -12, 0, 152, -94, 0, -5, -33, 0, -18, -22, 0, 30, 14, 0, 0, -48, 0, 50, -86, 0, -74, -9, 0, -70, 50, 0, -84, 0, 0, -95, -13, 0, 60, -30, 0, 17, -120, 0, -58, -32, 0, -65, -94, 0, 46, -7, 0, 22, 83, 0, 38, 48, 0, 0, -77, 0, 14, 77, 0, 65, 78, 0, -16, 34, 0, -116, 0, 0, 98, 13, 0, 2, 66, 0, -40, -16, 0, -20, -72, 0, -67, 46, 0, 123, 57, 0, 12, -20, 0, 66, 162, 0, 0, -34, 0, -1, -11, 0, -14, -16, 0, -59, -105, 0, 84, 0, 0, 44, -14, 0, -12, 30, 0, 15, 32, 0, 53, 21, 0, -45, -190, 0, -76, 10, 0, -7, -23, 0, 29, -47, 0, 0, 26, 0, -68, -92, 0, -28, -146, 0, -34, 10, 0, 14, 0, 0, 30, 32, 0, -26, 30, 0, -62, 3, 0, 26, -114, 0, -54, -74, 0, -27, -160, 0, 28, 14, 0, 10, 112, 0, 0, 104, 0, -71, 18, 0, -20, 10, 0, -2, -95, 0, 18, 0, 0, 36, 12, 0, -6, 75, 0, -62, -1, 0, -10, 16, 0, -24, -28, 0, 22, 48, 0, -93, 21, 0, 107, 14, 0, 0, 72, 0, -42, -4, 0, -9, 16, 0, 130, -70, 0, -63, 0, 0, 44, -8, 0, -36, -98, 0, 106, -54, 0, 45, 34, 0, 36, 40, 0, -10, 91, 0, 22, -30, 0, -24, -4, 0, 0, 12, 0, 38, -9, 0, -121, -56, 0, 4, 8, 0, 142, 0, 0, -42, 38, 0, 4, -78, 0, -56, 52, 0, 81, -46, 0, 18, 23, 0, -78, -20, 0, 0, 8, 0, -42, 2, 0, 0, -180, 0, 112, 2, 0, 15, -71, 0, -22, 12, 0, 72, 0, 0, -21, 36, 0, -74, 48, 0, 20, 12, 0, -33, 96, 0, -84, -24, 0, -73, -16, 0, -81, 23, 0, -20, 96, 0, 0, -20, 0, 28, -70, 0, -75, 81, 0, 45, 60, 0, -6, 0, 0, -20, 19, 0, 196, -48, 0, -44, -102, 0, -25, -30, 0, 3, 14, 0, -38, -105, 0, -38, -18, 0, -54, -32, 0, 0, -118, 0, 119, -75, 0, 106, 40, 0, -32, -34, 0, -84, 0, 0, -150, 32, 0, -13, -4, 0, -58, 14, 0, 47, -13, 0, -12, 120, 0, 64, 10, 0, 83, -6, 0, -9, -44, 0, 0, 43, 0, 12, -52, 0, -88, 42, 0, -25, 92, 0, 26, 0, 0, -14, -72, 0, 68, -106, 0, -87, 46, 0, -102, 22, 0, 42, 34, 0, -4, 74, 0, 62, 75, 0, -22, -123, 0, 0, 141, 0, -1, 2, 0, 31, 28, 0, 10, -30, 0, 34, 0, 0, 88, 104, 0, 69, 44, 0, 125, -10, 0, -48, 38, 0, 152, 72, 0, -8, 96, 0, -42, 60, 0, -56, -175, 0, 0, 38, 0, -65, 132, 0, 128, 50, 0, -22, -29, 0, 45, 0, 0, -16, -58, 0, -234, -99, 0, 66, 130, 0, -10, -4, 0, -4, 3, 0, -6, -15, 0, 13, -102, 0, -54, -24, 0, 0, -18, 0, -80, 97, 0, 9, -8, 0, 88, 78, 0, -13, 0, 0, -48, -82, 0, 48, -66, 0, 138, -96, 0, 20, 52, 0, -66, -27, 0, 96, -24, 0, -18, -50, 0, -47, -35, 0, 0, 42, 0, -34, 25, 0, 47, -2, 0, 77, 22, 0, -21, 0, 0, 60, -2, 0, -156, 28, 0, 123, 84, 0, 2, 29, 0, -48, 89, 0, -55, 14, 0, 16, -52, 0, 79, 35, 0, 0, 106, 0, -92, -20, 0, -36, 58, 0, -71, 27, 0, -3, 0, 0, 12, -26, 0, 3, 182, 0, -12, 96, 0, -65, 224, 0, 90, -14, 0, -14, 85, 0, 128, 61, 0, 10, 3, 0, 0, 26, 0, -41, 80, 0, 156, 25, 0, -43, 66, 0, -26, 0, 0, 0, 110, 0, -3, 34, 0, -29, 36, 0, -147, -112, 0, 47, 50, 0, 48, -68, 0, -50, 25, 0, -26, -50, 0, 0, -37, 0, 28, 33, 0, -36, -55, 0, -12, 76, 0, -37, 0, 0, 35, 7, 0, -14, -14, 0, 196, 122, 0, -28, -115, 0, 68, -8, 0, -40, -70, 0, -89, 36, 0, 11, 112, 0, 0, 23, 0, 15, 177, 0, -62, 12, 0, -32, 76, 0, -94, 0, 0, -112, 168, 0, -17, 10, 0, -20, -130, 0, 78, 103, 0, -28, -20, 0, 120, 24, 0, -19, -132, 0, -95, -57, 0, 0, -49, 0, 87, 12, 0, -1, 44, 0, 12, 69, 0, -5, 0, 0, 4, 32, 0, 95, -14, 0, -34, 17, 0, 61, -14, 0, -129, 58, 0, -19, -60, 0, 30, 104, 0, 38, -46, 0, 0, -16, 0, -28, 68, 0, 127, -17, 0, -4, 80, 0, 16, 0, 0, -31, -174, 0, 3, 28, 0, 1, -50, 0, 24, 60, 0, -52, 101, 0, -112, 2, 0, 3, 15, 0, 70, 48, 0, 0, -22, 0, 24, -14, 0, 82, 50, 0, -6, -92, 0, 42, 0, 0, 154, -105, 0, -132, 129, 0, -215, -90, 0, 77, 6, 0, 168, -24, 0, -56, -83, 0, -56, -26, 0, -48, -46, 0, 0, -21, 0, -37, 14, 0, -64, -142, 0, 34, -212, 0, 25, 0, 0, 29, 4, 0, -50, -14, 0, -71, -35, 0, 47, -4, 0, -23, -42, 0, 28, -60, 0, -72, 38, 0, 126, -32, 0, 0, -182, 0, 14, -2, 0, -73, -140, 0, 86, 61, 0, 57, 0, 0, 90, 18, 0, 64, -44, 0, 62, -45, 0, 42, 36, 0, 2, -102, 0, 37, -117, 0, 143, -63, 0, -27, -104, 0, 0, -36, 0, 83, 78, 0, -87, -54, 0, -22, -148, 0, 162, 0, 0, -5, -182, 0, 106, 56, 0, -78, 37, 0, -48, 84, 0, 26, 78, 0, 211, -10, 0, -80, 84, 0, 0, 56, 0, 0, 68, 0, 16, -62, 0, 11, -16, 0, -114, -56, 0, 32, 0, 0, -47, 22, 0, -97, 195, 0, -34, 62, 0, -28, 21, 0, -22, 15, 0, 93, -39, 0, -90, -14, 0, 123, -142, 0, 0, -37, 0, -40, 20, 0, 100, 82, 0, -14, 93, 0, -167, 0, 0, -46, 4, 0, 95, 32, 0, -28, -126, 0, -162, -41, 0, -24, -7, 0, -52, 50, 0, 45, 29, 0, -80, 64, 0, 0, 86, 0, -31, 26, 0, 121, 62, 0, 11, 19, 0, 53, 0, 0, 52, 14, 0, 1, 12, 0, -89, 32, 0, -118, -142, 0, -1, 82, 0, 0, 52, 0, -44, 29, 0, 13, -45, 0, 0, 60, 0, -7, -85, 0, 98, -6, 0, 36, -36, 0, -37, 0, 0, 56, -94, 0, 118, 72, 0, 102, 212, 0, 54, 32, 0, -12, -69, 0, 91, 25, 0, 23, -42, 0, 124, 30, 0, 0, -60, 0, -129, 60, 0, -94, 35, 0, -122, -32, 0, 97, 0, 0, 74, 42, 0, -81, 76, 0, 28, -84, 0, 13, 86, 0, -117, -18, 0, -33, 16, 0, 4, 16, 0, 53, -52, 0, 0, 77, 0, 82, -42, 0, -119, 24, 0, 39, 30, 0, -69, 0, 0, 104, -111, 0, -36, 54, 0, 81, -139, 0, -162, -12, 0, 9, -60, 0, 245, -58, 0, 42, 184, 0, -46, 68, 0, 0, 220, 0, 6, 90, 0, 55, 19, 0, 104, -71, 0, -18, 0, 0, -146, 38, 0, -11, -122, 0, -144, 37, 0, -3, -78, 0, -22, -134, 0, -64, 44, 0, 56, -54, 0, 23, -5, 0, 0, -154, 0, 52, -30, 0, -204, -117, 0, 12, -64, 0, 48, 0, 0, 140, -19, 0, -141, 57, 0, 22, 164, 0, 132, -30, 0, -27, -76, 0, -62, -92, 0, 103, 4, 0, 36, 90, 0, 0, 20, 0, -46, 43, 0, 10, -96, 0, 16, 102, 0, -5, 0, 0, 38, 108, 0, 97, -114, 0, -76, 142, 0, 139, 114, 0, -41, -19, 0, -54, -1, 0, 196, 126, 0, -83, -166, 0, 0, 87, 0, -6, -110, 0, 168, 80, 0, 83, 48, 0, 70, 0, 0, -134, -23, 0, 103, 30, 0, 105, -34, 0, -8, -100, 0, 56, 148, 0, -132, -28, 0, 20, -96, 0, 5, 35, 0, 0, -12, 0, -62, 6, 0, -97, -2, 0, 26, -48, 0, -166, 0, 0, -92, 8, 0, -24, -43, 0, 12, 30, 0, 119, 66, 0, 55, 48, 0, 68, 118, 0, 22, 59, 0, 57, 56, 0, 0, 28, 0, 145, -192, 0, -31, 27, 0, 83, 74, 0, -32, 0, 0, 49, 136, 0, -108, 25, 0, 139, -86, 0, -50, 58, 0, 31, 95, 0, 6, -32, 0, -84, 34, 0, -199, -60, 0, 0, 62, 0, 129, -114, 0, 26, 54, 0, -78, 10, 0, -70, 0, 0, -113, 49, 0, 32, -70, 0, 13, 56, 0, -54, 24, 0, 98, 16, 0, 108, -12, 0, -34, 30, 0, 28, -7, 0, 0, -27, 0, 69, 78, 0, 83, -68, 0, -84, 18, 0, 78, 0, 0, 30, 4, 0, 196, -100, 0, -21, -112, 0, -122, -45, 0, -9, -39, 0, -96, -44, 0, -12, 104, 0, 87, -22, 0, 0, -144, 0, -180, 44, 0, -20, 101, 0, 164, 59, 0, 14, 0, 0, 0, 18, 0, -40, -128, 0, -81, -30, 0, -74, -2, 0, -8, 78, 0, -31, 149, 0, -253, 44, 0, -132, 90, 0, 0, -174, 0, -22, -12, 0, 46, -64, 0, -35, 8, 0, 168, 0, 0, -137, 84, 0, 24, -59, 0, -36, -141, 0, 87, -42, 0, 87, 20, 0, -274, 9, 0, 85, -176, 0, 124, 36, 0, 0, 158, 0, -13, -62, 0, -150, 93, 0, -117, -20, 0, 43, 0, 0, 54, -11, 0, -148, -136, 0, 56, 98, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "39.2.e.b", "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], [1, 0], [0, 1], [0, 0], [2, 1], [-2, 1], [0, 0], [1, 1], [4, 1], [0, 0], [4, -1], [-2, 0], [0, 0], [0, 0], [4, 2], [0, 0], [0, 3], [0, -1], [0, 0], [-4, 2], [0, 1], [0, 0], [0, -2], [-2, 0], [0, 0], [3, -3], [0, 0], [0, 0], [6, 4], [-2, 3], [0, 0], [-1, 1], [4, 1], [0, 0], [-4, -1], [2, 0], [0, 0], [-6, 1], [8, -2], [0, 0], [-4, 3], [0, 1], [0, 0], [3, -1], [-4, -2], [0, 0], [0, -2], [2, -4], [0, 0], [-2, 3], [-12, 0], [0, 0], [0, 0], [-4, -3], [0, 0], [4, -2], [8, 6], [0, 0], [12, 1], [-6, -2], [0, 0], [7, 2], [4, 0], [0, 0], [4, -1], [0, 0], [0, 0], [-3, 1], [-4, -3], [0, 0], [0, 2], [14, 0], [0, 0], [7, -2], [4, -5], [0, 0], [0, 2], [-2, -2], [0, 0], [7, 1], [12, -3], [0, 0], [4, 1], [-4, -2], [0, 0], [-4, 1], [-4, 2], [0, 0], [-8, -2], [8, 2], [0, 0], [0, 0], [-4, -2], [0, 0], [-16, -2], [16, -6], [0, 0], [7, -1], [12, 1], [0, 0], [-6, -6]]}