# Stored data for newform 5445.2.a.o, downloaded from the LMFDB on 18 April 2024.
{"label": "5445.2.a.o", "space_label": "5445.2.a", "level": 5445, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816746821, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 824150632232519531, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1, 1]], [7, [-4, -2, 1]], [23, [-41, 4, 1]], [53, [-79, 2, 1]]], "qexp_display": "q-\\beta q^{2}+(-1+\\beta )q^{4}+q^{5}+(2-2\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21780, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 43.47854390058717, "hecke_ring_index": 1, "level_radical": 165, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [5445, 1, [3026, 4357, 3511], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "9.378", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.412", "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], [5, -1], [11, -1]], "trace_display": [-1, 0, 2, 2], "traces": [0, 2, -1, 0, -1, 2, 0, 2, 0, 0, -1, 0, 0, 6, 4, 0, -3, 2, 0, 4, -1, 0, 0, -4, 0, 2, 2, 0, -6, -2, 0, 0, 9, 0, 9, 2, 0, 6, 8, 0, 0, -16, 0, -6, 0, 0, 17, -4, 0, -2, -1, 0, -8, -2, 0, 0, -10, 0, 6, -10, 0, 6, -15, 0, 4, 6, 0, 18, -11, 0, 4, 20, 0, -12, -8, 0, -12, 0, 0, 12, -3, 0, 18, 8, 0, 2, -2, 0, 0, -14, 0, 16, -13, 0, -13, 4, 0, 30, 11, 0, -1, 20, 0, 16, -10, 0, -19, -24, 0, 12, 0, 0, 12, -2, 0, -4, -4, 0, -10, 22, 0, 0, -13, 0, 15, 2, 0, -6, -25, 0, 2, -8, 0, 24, -4, 0, -20, -26, 0, -28, -6, 0, 0, 0, 0, -2, -4, 0, 2, 22, 0, 28, -20, 0, 0, 0, 0, 18, 9, 0, 9, 26, 0, -10, -2, 0, -4, 16, 0, 2, 9, 0, 8, 12, 0, 2, 0, 0, 12, 18, 0, -16, 12, 0, -30, 6, 0, 0, 17, 0, 8, -6, 0, 10, -20, 0, -9, -24, 0, 28, 0, 0, -20, 8, 0, -16, -28, 0, 6, 0, 0, 8, 21, 0, 7, -6, 0, -30, 14, 0, 0, 26, 0, 36, 14, 0, 31, -20, 0, 14, 17, 0, -10, 14, 0, -4, 20, 0, 4, 18, 0, -18, 0, 0, 7, -2, 0, 32, 30, 0, -1, 34, 0, 0, 18, 0, 7, -22, 0, -4, -8, 0, 14, 0, 0, -2, 8, 0, -14, -32, 0, -44, 27, 0, 3, 0, 0, 8, 29, 0, -10, -26, 0, -12, -20, 0, 0, 4, 0, 8, 6, 0, 16, -34, 0, -10, 10, 0, -26, 18, 0, -16, -29, 0, 24, 6, 0, 12, 0, 0, -15, 2, 0, 50, -24, 0, -21, -10, 0, 0, 4, 0, -8, 44, 0, 6, 30, 0, -20, -34, 0, -12, -4, 0, -33, 18, 0, 20, 29, 0, -11, 0, 0, 4, 10, 0, -26, 24, 0, -30, 4, 0, 0, 14, 0, 20, 2, 0, 16, 12, 0, 10, -22, 0, -28, -12, 0, 14, 51, 0, -8, -42, 0, 24, 0, 0, 30, 4, 0, 12, -12, 0, -52, -32, 0, 0, 20, 0, -10, -6, 0, 56, -20, 0, 42, 12, 0, -8, -9, 0, -3, -24, 0, -30, 0, 0, -4, 0, 0, 2, 18, 0, 12, -40, 0, 8, 32, 0, 0, 28, 0, 6, -9, 0, 40, 2, 0, -14, 17, 0, -2, 34, 0, 46, 0, 0, -26, 52, 0, 24, 0, 0, 22, 12, 0, -14, -38, 0, -6, 20, 0, 0, -29, 0, -5, 16, 0, -24, -7, 0, -13, -38, 0, 12, 18, 0, -47, 12, 0, 28, -13, 0, 30, 0, 0, 4, -26, 0, 26, 14, 0, 8, -11, 0, 0, 30, 0, -10, 20, 0, 11, 68, 0, 18, 24, 0, -45, 40, 0, 16, -1, 0, -2, 24, 0, 20, 0, 0, -12, 18, 0, -32, 24, 0, -29, 16, 0, 0, 12, 0, -10, -58, 0, 18, -6, 0, -45, -60, 0, 52, -19, 0, -32, -28, 0, -24, -10, 0, 36, 0, 0, -24, 17, 0, 19, 12, 0, 30, 23, 0, 0, 16, 0, 42, -24, 0, -1, 26, 0, -28, 12, 0, 8, -16, 0, -2, 46, 0, -20, 26, 0, -40, 0, 0, -32, -4, 0, 40, 16, 0, -4, 8, 0, 0, 20, 0, 7, -8, 0, -60, -10, 0, -24, 52, 0, 22, 4, 0, 26, -14, 0, 48, -12, 0, 1, 0, 0, 26, 28, 0, -13, -42, 0, 24, -46, 0, 0, -12, 0, -28, 15, 0, 4, -4, 0, 2, -30, 0, 6, -14, 0, -4, -30, 0, 25, -6, 0, 14, 0, 0, -25, -22, 0, -4, -18, 0, 8, 28, 0, 0, 2, 0, -20, 20, 0, -8, 54, 0, -8, -22, 0, 20, -19, 0, 0, 24, 0, 34, 17, 0, -4, 0, 0, -6, -50, 0, -31, 16, 0, 20, -20, 0, 0, 48, 0, -26, -32, 0, -6, -46, 0, -8, 14, 0, -7, -28, 0, 24, 15, 0, -6, -50, 0, -8, 0, 0, -7, 0, 0, -18, 0, 0, -10, -90, 0, 0, -34, 0, -36, -8, 0, -24, 35, 0, 38, -2, 0, 36, -40, 0, -4, -26, 0, 60, -12, 0, -3, 0, 0, -28, 2, 0, -4, 0, 0, 22, 28, 0, 0, -34, 0, 8, -39, 0, 8, 28, 0, 20, 49, 0, -20, 58, 0, 52, 58, 0, 16, -60, 0, -58, 0, 0, -30, -2, 0, 0, 10, 0, 58, 8, 0, 0, -33, 0, 33, 18, 0, -72, -18, 0, 9, 58, 0, -2, -26, 0, -19, -60, 0, -64, 9, 0, -8, 0, 0, 26, -30, 0, 20, 16, 0, 56, -4, 0, 0, -10, 0, -32, 79, 0, -2, -4, 0, -4, 40, 0, -20, 0, 0, -22, -4, 0, 2, 38, 0, 16, 0, 0, -14, -12, 0, -46, 57, 0, 1, 2, 0, 0, -57, 0, 9, -42, 0, -28, 12, 0, 10, -2, 0, 0, 8, 0, -42, 40, 0, 12, -18, 0, 30, 0, 0, 64, -40, 0, -16, 2, 0, -40, -57, 0, 0, -24, 0, -2, -48, 0, -36, -16, 0, 24, 12, 0, 2, -68, 0, 18, -20, 0, -10, -30, 0, -82, 0, 0, -60, -16, 0, -84, 25, 0, 12, -2, 0, 0, -38, 0, -7, 12, 0, -20, -30, 0, -6, 80, 0, 6, -6, 0, -4, -84, 0, 36, 33, 0, -11, 0, 0, 26, 36, 0, 17, 86, 0, 92, -30, 0, 0, 32, 0, -56, 8, 0, -30, -28, 0, -6, -44, 0, -22, -46, 0, 28, -4, 0, 29, 10, 0, -64, 0, 0, -20, -54, 0, 2, -10, 0, -39, 14, 0, 0, -9, 0, -24, 88, 0, -24, -14, 0, -56, -18, 0, 8, -15, 0, 40, 28, 0, 82, -28, 0, 0, 0, 0, -70, -32, 0, 13, -84, 0, 62, -20, 0, 0, -70, 0, 8, -30, 0, -64, 10, 0, -2, -24, 0, -11, -16, 0, 66, 51, 0, -28, 80, 0, -54, 0, 0, -8, -34, 0, -72, 6, 0, 54, -8, 0, 0, -84, 0, -20, 16, 0, -4, 45, 0, 15, 8, 0, -2, -86, 0, 21, 28, 0, -62, -40, 0, 4, 0, 0, 76, 7, 0, -12, -16, 0, -6, -4, 0, 0, 24, 0, -82, -58, 0, 27, -30, 0, -4, -16, 0, 14, 56, 0, -2, -70, 0, 20, -24, 0, -12, 0, 0, -8, 20, 0, 26, 24, 0, 16, 0, 0, 0, -30, 0, -23, 36, 0, -36, -16, 0, 14, -80, 0, 0, 18, 0, 28, 64, 0, 34, 31, 0, -34, 0, 0, -20, 0, 0, 2, 38, 0, 40, 65, 0, 0, 14, 0, 30, 28, 0, 17, 66, 0, 50, -20, 0, -24, -32, 0, -28, -10, 0, 16, 28, 0, 14, 0, 0, -12, -34, 0, -12, 27, 0, 39, -4, 0, 0, 0, 0, 20, -50, 0, 62, 22, 0, -6, 76, 0, 36, 4, 0, 30, -76, 0, 18, -44, 0, 92, 0, 0, 14, -14, 0, 28, -18, 0, 60, 30, 0, 0, -28, 0, -18, -28, 0, -12, 54, 0, -116, 7, 0, -34, -16, 0, -2, -72, 0, 34, 54, 0, -8, 0, 0, -74, 32, 0, -24, 24, 0, 30, -52, 0, 0, -6, 0, -28, -4, 0, -52, -1, 0, -20, 68, 0, 34, 30, 0, 32, 100, 0, 80, 27, 0, 27, 0, 0, -76, -15, 0, 18, -60, 0, 56, 18, 0, 0, -2, 0, -16, 7, 0, 56, -108, 0, -22, -58, 0, -10, -32, 0, 0, -52, 0, -9, -4, 0, -12, 0, 0, -8, 16, 0, -28, -50, 0, -70, -24, 0, 0, 14, 0, -62, 40, 0, 0, 42, 0, -44, -68, 0, -58, 70, 0, 31, -2, 0, -48, -12, 0, 8, 0, 0, 30, -42, 0, 50, -116, 0, 8, -14, 0, 0, 72, 0, -32, -52, 0, 30, 80, 0, 60, -60, 0, -38, -44, 0, -70, 60, 0, 27, 72, 0, -26, 0, 0, -24, -56, 0, -46, 3, 0, 28, -16, 0, 0, -32, 0, -42, 36, 0, -102, -71, 0, 40, 8, 0, -64, -17, 0, 29, -82, 0, 38, -82, 0, 15, 0, 0, -44, -10, 0, 0, -72, 0, -26, 24, 0, 0, -82, 0, 8, -7, 0, 40, -12, 0, 76, -11, 0, -20, 22, 0, 66, 36, 0, 75, -76, 0, 12, 0, 0, -50, -18, 0, 4, 24, 0, -46, 114, 0, 0, 32, 0, -45, 8, 0, 44, 60, 0, 6, -14, 0, -2, 42, 0, 36, 90, 0, -4, 16, 0, -22, 0, 0, -34, 10, 0, -2, 54, 0, -28, -38, 0, 0, -10, 0, -2, 49, 0, 10, -100, 0, 54, 46, 0, -5, -4, 0, -2, -26, 0, -52, 72, 0, 18, 0, 0, -48, 88, 0, 84, -89, 0, -33, -16, 0, 0, -12, 0, -29, 18, 0, 6, 10, 0, -61, -68, 0, -60, 24, 0, 6, 56, 0, 6, 24, 0, 110, 0, 0, -24, 16, 0, -40, 12, 0, -38, 39, 0, 0, -6, 0, -6, -50, 0, 21, 96, 0, -90, -15, 0, -60, -18, 0, 2, -52, 0, -64, 48, 0, -4, 0, 0, -23, 50, 0, -66, 1, 0, -24, -12, 0, 0, 56, 0, -60, 16, 0, -40, -21, 0, -4, 88, 0, -10, -14, 0, 34, -50, 0, -8, -10, 0, 30, 0, 0, 66, -3, 0, 4, -24, 0, 14, 32, 0, 0, 64, 0, 22, -8, 0, 60, -60, 0, 44, -60, 0, -8, -12, 0, -96, -73, 0, 0, 6, 0, -16, 0, 0, 30, -66, 0, 20, -24, 0, -81, 86, 0, 0, -20, 0, 82, 120, 0, -34, 92, 0, -84, 10, 0, 12, 60, 0, -20, -12, 0, 44, 11, 0, -4, 0, 0, -98, -70, 0, -19, -64, 0, -72, -33, 0, 0, 88, 0, 18, -14, 0, -44, -36, 0, 86, 13, 0, -63, 20, 0, -58, 10, 0, 29, -8, 0, -42, 0, 0, -29, -60, 0, -20, -11, 0, 76, -4, 0, 0, -26, 0, 2, 108, 0, -20, 21, 0, 1, 4, 0, -20, -60, 0, 10, -62, 0, -36, 8, 0, 20, 0, 0, 112, -26, 0, -28, 66, 0, 24, 30, 0, 0, 18, 0, -130, 28, 0, 42, -30, 0, -50, -36, 0, 4, -64, 0, -42, 90, 0, 33, 64, 0, 32, 0, 0, -48, 28, 0, 14, 26, 0, -70, -26, 0, 0, 24, 0, -12, 20, 0, 76, -12, 0, 2, -98, 0, -4, 40, 0, -16, 96, 0, -54, 16, 0, -38, 0, 0, 12, -10, 0, 30, -102, 0, -70, 11, 0, 0, 10, 0, -54, 93, 0, -22, -86, 0, -26, 42, 0, 30, 66, 0, -44, -28, 0, -104, 108, 0, -12, 0, 0, 62, 90, 0, 24, 0, 0, -16, 14, 0, 0, 40, 0, 51, -90, 0, 40, 44, 0, 40, 64, 0, -58, -8, 0, -6, 92, 0, -42, -14, 0, 22, 0, 0, 34, -8, 0, 80, 24, 0, 6, -1, 0, 0, 70, 0, 22, 32, 0, -64, 94, 0, -28, 30, 0, -38, 8, 0, 4, -186, 0, -60, -58, 0, 60, 0, 0, -11, 12, 0, -54, -32, 0, -12, 42, 0, 0, 12, 0, -26, 48, 0, -16, -52, 0, -70, -54, 0, -32, 8, 0, -52, 0, 0, 118, -14, 0, -4, 0, 0, -28, 40, 0, 20, 6, 0, -38, 32, 0, 0, 36, 0, -32, -10, 0, 22, -8, 0, -6, -56, 0, 20, -54, 0, -92, 17, 0, 13, 56, 0, -48, 0, 0, -20, 34, 0, 54, -44, 0, -19, -36, 0, 0, 42, 0, -4, -102, 0, 12, -80, 0, -26, -22, 0, 68, 1, 0, 30, -8, 0, 30, -80, 0, -9, 0, 0, -50, -46, 0, 12, -46, 0, 88, -3, 0, 0, 12, 0, -24, -30, 0, -30, 56, 0, 60, -37, 0, -8, -30, 0, -38, 29, 0, 0, 42, 0, 48, 0, 0, 15, 8, 0, -42, -4, 0, 54, -68, 0, 0, 46, 0, 60, 74, 0, 24, 41, 0, 56, 2, 0, 58, 25, 0, 18, -54, 0, 10, 42, 0, 80, 0, 0, 0, 12, 0, -70, 24, 0, -40, -8, 0, 0, -52, 0, 104, -20, 0, 37, 8, 0, -30, 81, 0, 32, 52, 0, 28, 4, 0, 44, -116, 0, -38, 0, 0, 66, 88, 0, 28, 42, 0, 12, -48, 0, 0, -33, 0, 90, 6, 0, -14, 45, 0, -9, -4, 0, -26, 56, 0, 34, -8, 0, 20, 40, 0, 56, 0, 0, 2, 26, 0, 24, 106, 0, -96, 24, 0, 0, -14, 0, 134, -98, 0, 17, 10, 0, 8, 86, 0, 28, 116, 0, -68, -2, 0, -40, 12, 0, 34, 0, 0, 8, 54, 0, 98, 41, 0, 82, 46, 0, 0, 10, 0, 0, -2, 0, -64, 32, 0, -15, 12, 0, 56, -26, 0, -48, 0, 0, 52, -64, 0, 40, 0, 0, 40, 9, 0, 122, 24, 0, -12, 36, 0, 0, -60, 0, 44, -8, 0, -25, 0, 0, 4, 22, 0, -66, -6, 0, 12, 40, 0, -50, 30, 0, -10, 0, 0, 87, -14, 0, 32, -3, 0, -38, -90, 0, 0, 48, 0, 44, 30, 0, 84, -6, 0, -40, 52, 0, 20, 70, 0, 10, -4, 0, -64, -12, 0, -67, 0, 0, 38, -97, 0, -29, 104, 0, 60, -80, 0, 0, 28, 0, 22, -5, 0, 100, -114, 0, 16, -28, 0, 76, 46, 0, -12, -20, 0, -25, -24, 0, -102, 0, 0, -7, 18, 0, -86, -60, 0, 60, 36, 0, 0, -13, 0, 2, -56, 0, -38, -110, 0, -20, -116, 0, 56, -40, 0, -4, 12, 0, -62, 24, 0, 18, 0, 0, -100, -24, 0, 11, 104, 0, -66, -47, 0, 0, 0, 0, 12, -64, 0, 32, -12, 0, 90, 1, 0, 20, 28, 0, 168, -31, 0, -13, 28, 0, -108, 0, 0, 60, -2, 0, -60, 30, 0, -50, 32, 0, 0, 4, 0, 22, -152, 0, 32, -46, 0, -53, 4, 0, 28, -68, 0, -26, -46, 0, 8, -78, 0, 18, 0, 0, 60, 26, 0, -70, -38, 0, 14, -78, 0, 0, -46, 0, -42, -17, 0, -34, 8, 0, -8, 40, 0, -11, -32, 0, 48, 80, 0, -87, -16, 0, 20, 0, 0, 24, -60, 0, 30, 54, 0, 2, 34, 0, 0, -40, 0, -17, -10, 0, -24, 83, 0, 20, -40, 0, -30, 76, 0, 28, 160, 0, -90, 11, 0, 48, 0, 0, 68, 80, 0, -112, 30, 0, 18, -56, 0, 0, 18, 0, -16, 86, 0, 24, 14, 0, 38, 72, 0, 4, -54, 0, 44, -45, 0, -44, -128, 0, 40, 0, 0, -10, 24, 0, 124, 32, 0, -8, 16, 0, 0, 26, 0, -1, -88, 0, 104, 10, 0, 36, 96, 0, 80, -2, 0, -72, -48, 0, 24, -18, 0, -70, 0, 0, -10, 20, 0, -23, 20, 0, 90, 69, 0, 0, -136, 0, -38, -32, 0, -40, 60, 0, -32, -12, 0, 150, -32, 0, 18, 72, 0, -32, -28, 0, 40, 0, 0, 71, -32, 0, 90, 83, 0, 24, -12, 0, 0, -34, 0, 59, -32, 0, 4, -29, 0, 62, 0, 0, 16, -24, 0, 86, -46, 0, 24, -75, 0, -60, 0, 0, 94, -19, 0, 12, -90, 0, -146, 26, 0, 0, -78, 0, 184, -10, 0, -8, -92, 0, -58, 14, 0, 90, 10, 0, 104, 50, 0, 87, 18, 0, 20, 0, 0, -6, 36, 0, 2, -52, 0, 0, 40, 0, 0, -45, 0, 50, -12, 0, -60, 66, 0, 4, 24, 0, 4, -41, 0, -90, 52, 0, -120, 50, 0, -19, 0, 0, 122, 54, 0, 36, -70, 0, 96, -32, 0, 0, -68, 0, -28, 30, 0, 8, -42, 0, -20, -99, 0, -12, -24, 0, -152, -24, 0, -10, -32, 0, 38, 0, 0, 39, 132, 0, -78, 36, 0, 58, -118, 0, 0, 80, 0, 80, -60, 0, -16, 20, 0, 87, -24, 0, 0, 22, 0, 17, -110, 0, -12, -10, 0, -80, 0, 0, 12, 19, 0, -26, 104, 0, 12, 18, 0, 0, -18, 0, 116, -24, 0, 83, 30, 0, 46, -7, 0, 23, -44, 0, 14, 60, 0, 58, -124, 0, -42, 0, 0, -2, -46, 0, 16, 88, 0, -48, -30, 0, 0, 61, 0, 79, 42, 0, -60, -78, 0, -24, 90, 0, 110, -48, 0, -10, -94, 0, -68, -1, 0, -34, 0, 0, 26, 56, 0, 58, 112, 0, -56, 0, 0, 0, -28, 0, -48, -48, 0, 12, -76, 0, 98, 50, 0, 101, -64, 0, 56, 8, 0, -16, -40, 0, -16, 0, 0, 106, 46, 0, -120, 36, 0, 0, -2, 0, 0, -40, 0, 46, -16, 0, 24, 52, 0, 29, 44, 0, -84, -20, 0, -26, 128, 0, 26, -58, 0, -58, 0, 0, 28, 15, 0, 68, -40, 0, -174, -26, 0, 0, 94, 0, 162, 48, 0, -81, 48, 0, -4, -32, 0, 60, 122, 0, -4, 54, 0, -52, 42, 0, -64, 0, 0, -8, 40, 0, 34, -80, 0, 16, -50, 0, 0, 38, 0, -66, -24, 0, 68, -4, 0, 32, -64, 0, 8, -14, 0, -78, -8, 0, -120, 92, 0, -15, 0, 0, 76, 107, 0, 20, 102, 0, 6, 48, 0, 0, 56, 0, -40, 7, 0, -70, 28, 0, -8, 10, 0, 58, -88, 0, -68, 39, 0, 65, -60, 0, 126, 0, 0, -10, -90, 0, -30, 16, 0, -21, 132, 0, 0, -24, 0, 20, -44, 0, 52, -22, 0, 50, 72, 0, 120, 5, 0, 72, 22, 0, 42, 51, 0, 4, 0, 0, -24, -80, 0, -26, -56, 0, -46, 26, 0, 0, 56, 0, -14, 82, 0, -54, -140, 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": "1815.2.a.f", "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], [-1, 1], [1, 0], [0, 0], [2, -2], [-1, 2], [0, 0], [0, -1], [0, 0], [0, 0], [4, -2], [2, 0], [0, 0], [0, -3], [3, -4], [0, 0], [4, -4], [-1, 1], [0, 0], [0, 0], [1, -6], [0, 0], [1, 0], [2, -2], [0, 0], [-4, 2], [0, -2], [0, 0], [-3, 6], [5, -1], [0, 0], [4, 1], [2, -2], [0, 0], [2, 2], [4, 0], [0, 0], [-1, 2], [-6, -4], [0, 0], [-4, 2], [0, 0], [0, 0], [6, 5], [-5, 6], [0, 0], [1, -4], [0, -1], [0, 0], [-6, 4], [-5, 8], [0, 0], [0, 0], [-6, 2], [0, 0], [2, 2], [-8, 6], [0, 0], [1, 4], [-6, -3], [0, 0], [1, 2], [4, -2], [0, 0], [10, -2], [-7, 3], [0, 0], [2, 0], [12, -4], [0, 0], [-8, 4], [-2, -4], [0, 0], [-8, 4], [0, 0], [0, 0], [9, -6], [0, -3], [0, 0], [4, 10], [4, 0], [0, 0], [3, -4], [-2, 2], [0, 0], [0, 0], [-6, -2], [0, 0], [12, -8], [-7, 1], [0, 0], [-6, -1], [4, -4], [0, 0], [14, 2], [4, 3], [0, 0], [-1, 1]]}