# Stored data for newform 1617.2.a.l, downloaded from the LMFDB on 29 March 2024. {"label": "1617.2.a.l", "space_label": "1617.2.a", "level": 1617, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934631505, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1119686625915146720, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 3, 1]], [5, [-5, 0, 1]], [13, [-19, -2, 1]], [17, [6, 1]]], "qexp_display": "q+(-1-\\beta )q^{2}+q^{3}+3\\beta q^{4}+(-1+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6468, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 12.911810006841039, "hecke_ring_index": 1, "level_radical": 231, "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": "0.025", "prec": 17}, "analytic_rank_proved": true, "char_values": [1617, 1, [1079, 199, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.951", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.609", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.420", "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], [7, -1], [11, 1]], "trace_display": [-3, 2, 0, 0], "traces": [0, 2, -3, 2, 3, 0, -3, 0, -6, 2, -5, -2, 3, 2, 0, 0, 13, -12, -3, 4, 15, 0, 3, 4, -6, 0, 7, 2, 0, -16, -5, -8, -15, -2, 18, 0, 3, -10, -11, 2, -20, -12, 0, 8, -3, 0, 4, -14, 13, 0, 0, -12, -27, -8, -3, 0, 0, 4, 29, 6, 15, -4, 22, 0, 4, -20, 3, -12, -18, 4, 0, 0, -6, 2, 5, 0, 21, 0, 7, 4, 15, 2, 18, -16, 0, 0, -2, -16, 6, 0, -5, 0, -24, -8, 31, 10, -15, -4, 0, -2, 0, -16, 18, -12, 34, 0, 32, 22, 3, 12, 5, -10, 0, 4, -11, -20, -39, 2, -29, 0, -20, 2, -14, -12, -42, 0, 0, 32, 9, 8, 25, 0, -3, 0, 3, 0, 36, 12, 4, -16, 0, -14, -10, -2, 13, -10, -3, 0, 15, 0, 0, 4, -32, -12, 0, -20, -27, 20, 4, -8, -15, 0, -3, 4, -18, 0, 34, -28, 0, 16, 30, 4, -18, -20, 29, 0, -13, 6, -30, -20, 15, 8, 0, -4, 28, 20, 22, 12, -51, 0, -25, 24, 4, 16, -14, -20, 0, -8, 3, -40, 0, -12, 14, 0, -18, 0, -12, 4, -17, -4, 0, 20, -72, 0, -53, -20, -6, 0, -18, 2, -15, -12, 5, -36, 0, 0, -16, 0, 21, -4, 20, 0, 68, 0, 7, -20, 69, 4, 0, -10, 15, 38, -3, 2, 54, 0, 18, -16, 64, -16, 25, 10, 0, -4, -48, 0, -9, 20, -2, 0, -15, -16, -10, 18, 6, -40, 0, 0, 27, 24, -5, -24, -78, 0, -18, 0, -24, -20, 24, -8, 0, -12, 31, 4, 30, 10, -7, 0, -15, 38, 55, -4, 3, -16, 0, 40, -10, -2, -35, 44, 0, 0, 14, -16, 41, 40, 18, -32, 0, -12, 50, 8, 34, -8, 0, 0, -24, 36, 32, 16, 30, 22, 0, -24, 3, 0, 39, 12, 36, 0, 5, -32, -54, -10, 52, 30, 0, -4, -4, 4, -90, 8, -11, 0, 16, -20, 20, -16, -39, -22, 0, 2, 15, 4, -29, 20, 90, 0, 20, -24, -20, -20, -2, 2, 0, 0, -14, 24, -4, -12, -5, 0, -42, -16, -18, 0, 82, 4, 0, -20, 45, 32, -36, 0, 9, 0, -64, 8, 54, -12, 25, -24, 0, 0, 22, -20, -3, 8, 70, 0, 0, -8, 3, 32, 6, 0, 0, 10, 36, -28, 30, 12, 72, 0, 4, -20, 15, -16, 11, -6, 0, 50, -50, -14, 104, 0, -10, 0, 93, -2, 10, 10, 13, 52, 0, -10, 18, -12, -3, 24, 20, 0, -42, 36, 15, 60, 54, 0, 0, -24, 0, 12, 36, 4, 60, 0, -32, 4, 36, -12, 0, -24, 0, 8, -119, -20, -30, 6, -27, 0, 65, 20, -98, -8, 4, 0, 0, -8, -35, -8, -15, -50, -57, 0, 3, 40, -3, -8, -68, 4, 0, 14, -18, 96, 39, 0, -82, 0, 34, 4, -75, -28, 5, -48, 0, 20, -4, 16, 48, -80, 30, 0, 18, 4, -25, 60, -18, 14, 0, -20, 40, 52, 29, -20, 30, 0, 3, 48, -13, 2, 80, 6, 0, -12, -30, 40, -24, -20, -46, 0, 15, 16, 21, 8, 90, 0, 0, 0, 18, -4, 0, -42, 28, 0, 50, 20, -24, 24, 22, 48, 0, 12, -7, 0, -51, 20, 9, 0, -40, -16, -25, -48, 27, 24, 0, 0, 4, -52, -57, 16, -135, 0, -14, 8, -6, -20, -16, -46, 0, -36, -75, -8, -35, 48, 3, 0, 105, -40, -36, -12, 0, 42, 0, -12, -54, 0, 14, 32, -45, 0, -50, 26, -18, 12, 48, 0, 0, 0, -12, -28, -90, 4, -32, 0, -17, -50, 62, -4, -60, 60, 0, -8, 28, 20, -74, 0, -72, 0, -29, 0, -25, 72, -53, 16, 0, -20, 66, -18, -6, -6, 0, 0, -129, -24, -18, 20, -78, 2, 0, 30, -15, 8, 48, -12, 88, 0, 5, -12, -72, -36, -15, 4, 0, -64, -24, 0, -36, -60, -16, 0, 120, 0, -22, 28, 21, 0, 0, -4, 22, 72, 20, -40, 0, 0, 4, 0, 68, 72, 3, 0, 0, 0, 7, 0, -4, -20, -11, 0, 69, 18, -30, 4, -120, 24, 0, 20, 0, -10, 56, 54, 15, 0, 10, 38, -18, 0, -3, -36, 0, 2, -5, -48, 54, -76, -66, 0, 0, 12, 18, 60, -45, -16, 0, -38, 64, 70, 44, -16, 18, 0, 25, -16, -121, 10, -81, -40, 0, -50, 65, -4, -70, -36, -48, 0, 36, 0, 20, -74, -9, -2, 0, 20, 144, 72, -2, 0, -68, 0, -42, -24, -15, 0, -24, -16, 0, -60, -10, -36, -42, 18, 20, 0, 6, -84, 18, -40, -90, 96, 0, 84, 0, 0, 22, -2, 27, 0, -78, 24, 8, -52, -5, -12, 0, -24, -5, -90, -78, -4, 42, 0, -90, 0, -18, -24, -84, 0, 0, 54, -24, 16, 70, -20, -56, 0, 24, -20, -21, -8, 9, 50, 0, 80, -85, -12, 90, -40, 31, 0, -112, 4, 0, -60, 30, 20, 0, 10, -146, 12, -7, -4, 30, 0, 35, 8, -15, 20, -48, 38, 0, -4, 55, -72, -36, -4, 28, 0, 3, -8, 9, -16, -15, -4, 0, 4, 162, 40, -34, 12, -10, 0, -90, -2, -54, -48, -35, 20, 0, 44, 66, 84, 0, 48, -18, 0, -52, -20, 14, -64, -180, -16, 0, -36, 41, 16, 24, 40, -96, 0, 18, -32, 20, -32, 46, -40, 0, 0, 3, -12, 135, -20, 50, 0, 90, 8, 51, 0, 34, 4, 0, -8, -135, -4, 0, -24, 99, 0, 2, 36, -24, 2, 0, 36, 0, 28, 32, 0, 135, 16, 52, 0, 30, 10, 15, 22, 57, 80, 0, 12, -6, -24, -50, -14, 3, 0, 52, 0, 34, -36, 39, 0, 0, 12, 19, -24, 36, -20, -174, 0, -69, 56, 5, 40, 90, -32, 0, -20, -54, -84, -51, -10, 100, 0, 52, -36, -45, 30, 42, -56, 0, -32, 10, -4, 24, 48, -4, 0, -96, 4, 110, 70, -90, 24, 0, 8, -79, 0, -11, 44, 15, 0, -60, 16, 16, 44, -31, -20, 0, 24, 20, -20, -115, -16, -73, 0, -39, -10, 15, -22, -40, 96, 0, 68, -63, 2, -132, 40, 15, 0, 37, 4, -120, -48, -29, -32, 0, 20, -42, 4, 90, 14, -115, 0, -33, 60, 20, 0, 66, -24, 0, 24, -20, 12, -54, -20, 9, 0, -2, 16, -24, 2, -30, 20, 0, 68, 30, 0, -36, -8, -14, 0, 0, 24, 113, -48, -4, 120, 0, -12, -90, 8, -5, 16, 48, 0, 9, 0, -42, 16, -22, -16, 0, 52, -18, -40, 57, 0, -10, 0, 82, -4, -40, 4, -39, 12, 0, -120, 30, -20, 34, 72, 45, 0, 42, 32, -34, -60, -36, 0, 0, 0, 0, -88, 9, 68, 98, 0, 57, -120, -64, 32, 190, 8, 0, -86, 54, 60, -32, -12, 13, 0, 25, -52, 96, -24, 49, 0, 0, -22, 94, 0, 105, -24, 22, 0, 45, -20, -102, 6, -3, 96, 0, 8, -140, -20, 70, 100, -24, 0, -52, -12, 0, 128, -3, -8, 0, 0, 3, 0, 68, 32, -5, 0, 6, 68, -63, 0, 38, 12, 0, 64, 30, 10, -99, 0, 36, 0, -48, -28, -48, 0, 30, 16, 0, 12, 90, -30, 72, -28, 72, 0, 140, -12, 4, -4, 72, -20, 0, -44, 15, -38, 75, -16, -162, 0, 11, -40, 60, -6, -30, 56, 0, -84, 12, 50, -4, 20, -50, 0, 114, -14, -80, 48, 104, 6, 0, 0, 39, -48, -10, -92, -45, 0, -98, 18, 93, -10, 6, -2, 0, -8, 10, -8, -126, 10, -3, 0, 13, 44, 29, 52, 0, -16, 0, -8, 168, -10, -4, 80, 18, 0, -30, -12, 90, -56, -3, -60, 0, 24, -85, -52, 20, -16, -12, 0, -48, 0, -42, -60, -134, 36, 0, -2, 15, 8, -52, 60, 124, 0, 54, -132, -45, 0, 14, -24, 0, 20, 66, -24, 84, 20, 0, 0, 32, 12, 120, 30, 36, -68, 0, 4, -90, 136, 60, 132, 42, 0, -32, 36, -32, 16, -30, 4, 0, 108, 36, 0, -30, -12, -128, 0, 0, 12, 30, -24, 20, -40, 0, 4, 36, 8, 40, -58, -119, 0, -108, -20, 57, -32, -30, 72, 0, 6, 30, -88, -27, 50, 5, 0, -9, -8, 65, 96, 21, 20, 0, -30, -98, 12, -57, -8, 30, 0, 4, -56, 90, 0, -56, -12, 0, 20, -25, -8, 20, 84, -35, 0, -96, -8, -31, -24, -15, 0, 0, -50, 30, 0, -57, -24, 16, 0, 0, -6, 3, 44, 24, 40, 0, 96, -3, 108, 15, -8, 12, 0, -68, 80, 94, 4, 126, -36, 0, -80, -52, 14, -3, 0, -18, 0, -120, 96, 40, -36, 39, -40, 0, 0, -13, -108, -82, 96, -105, 0, -84, 24, 34, -60, -36, 4, 0, 0, -75, -12, -21, -28, 135, 0, 5, -12, 231, -48, 50, -30, 0, 0, 45, 20, -135, 60, -4, 0, 95, 16, 44, -12, 48, 0, 0, -80, -72, 16, 30, 40, -60, 0, 121, 0, 18, 104, 3, 4, 0, -84, -25, -92, -208, 60, -73, 0, -18, 100, 0, 14, 34, -80, 0, 40, 162, -20, 66, -4, 40, 0, 10, 52, 144, -100, 29, -80, 0, -20, 40, 22, 30, 2, 99, 0, 64, -52, 3, 4, 0, 48, 0, 2, -13, 40, 86, 2, -78, 0, 80, -80, 160, 6, -139, 10, 0, 32, -186, -12, 0, 32, -30, 0, -42, 40, 3, -20, -24, 44, 0, -20, 138, 12, -46, -60, -74, 0, 53, -32, 15, -34, -57, 16, 0, 100, 21, -84, -15, 8, 125, 0, 90, -40, 6, 0, -42, 56, 0, 0, 120, 0, 75, 112, 18, 0, 111, -4, 12, 24, 0, 32, 0, -42, -21, 0, 28, -62, -84, 0, -150, -4, 50, -80, 59, 20, 0, -112, -24, 44, 100, 24, 32, 0, 22, 0, -9, 48, -65, 4, 0, -10, -200, 12, 105, 60, -7, 0, -140, 0, 20, 60, -51, -74, 0, 20, 120, -4, 9, 124, 0, 0, 20, -40, -40, 20, -130, -16, 0, -112, -25, -88, 203, -48, -118, 0, 27, 96, 36, 24, -20, 12, 0, 28, -135, 0, -82, -20, 4, 0, 20, -52, -12, -32, -57, 40, 0, 16, -4, 30, -135, -56, 33, 0, 78, 60, -14, -36, -48, 8, 0, 72, -6, 8, 52, -20, -99, 0, -16, -68, 15, -46, -49, -48, 0, 10, -11, -36, -204, -8, -75, 0, -6, -8, -68, 0, -35, -6, 0, 48, 90, 12, 3, -28, 108, 0, 127, -60, 105, -104, 20, -40, 0, -4, -36, -40, -126, -12, -226, 0, 0, -36, -192, 42, 18, 40, 0, -16, 56, -12, 10, 12, -54, 0, 56, 0, 240, 48, 14, -132, 0, 32, 84, 72, -45, 0, -34, 0, -84, -104, -50, 80, 132, 26, 0, 60, -18, 28, 8, 12, -100, 0, 48, 32, -66, 0, 50, -64, 0, -14, 0, 0, -33, -72, -12, 0, -62, -28, 125, -16, -90, -18, 0, 4, -120, -40, -32, 76, -171, 0, -30, 68, -17, 14, 94, -50, 0, -72, 62, -32, 200, -4, 116, 0, -60, 150, -24, 60, -105, 24, 0, -64, 18, -8, -14, -70, 28, 0, 7, 20, 0, 40, -74, 20, 0, 0, 53, 56, -72, 8, -60, 0, -170, -84, -29, -40, -132, 0, 0, -12, -25, -24, -95, 72, 105, 0, -53, 84, -114, 16, -160, -8, 0, 36, -108, -20, 13, -140, 66, 0, 30, -18, 61, 66, -6, 120, 0, -6, -132, -48, 0, -40, -30, 0, 44, 120, -129, 36, 30, -24, 0, -40, -18, 84, -99, 20, 96, 0, -78, 20, 50, 2, 234, -24, 0, 0, 108, 30, -24, 60, -15, 0, -45, 8, -76, -60, 48, -52, 0, -12, 130, -8, 88, 46, 126, 0, 141, -96, 5, 28, -75, -12, 0, 72, -72, -20, 174, -36, 50, 0, -15, 4, 18, 4, 144, 60, 0, -2, 8, -64, -90, -16, -24, 0, -28, 0, -157, 48, -36, 16, 0, -60, 208, 84, -16, -20, -90, 0, -125, -8, 120, 140, -6, 0, 0, 0, -22, -120, 165, 28, 0, 0, 21, 40, -36, 0, -40, -12, 0, -20, 0, -4, -104, -36, 22, 0, -6, 72, 51, -72, 20, 24, 0, -40, 84, 0, 0, -12, 70, 0, 135, -12, 4, 88, 63, 0, 0, 80, 68, -100, 25, 72, 15, 0, 3, 0, 30, 0, -174, -8, 0, -24, -112, 0, 66, 20, 7, 0, 252, 0, -110, -48, -4, -100, 0, -20, -117, -16, -11, 184, 200, 0, 132, -16, 69, 0, -37, 18, 0, 0, -30, 84, 162, 4, 14, 0, -120, 46, -51, 24, 225, -4, 0, 112, 45, 20, -35, 28, 0, 0, 0, -10, -112, 12, 56, -100, 0, 54, -106, -192, 15, -156, -68, 0, 114, -60, 10, 8, 12, 38, 0, 12, -18, 48, -109, 0, -54, 0, -3, -32, 90, -36, 40, 50, 0, -20, -122, 2, -90, 40, -5, 0, 78, -48, 22, -90, 54, 70, 0, -76, 0, -40, -66, -44, -213, 0, 32, -66, 0, 44, -150, 12, 0, 72, 18, -40, 140, 60, 43, 0, -45, 68, -14, -16, -104, 0, 0, 0, -99, -38, 90, -88, 64, 0, 36, 70, -78, -76, 44, 80, 0, -16, -133, 76, 18, -60, 120, 0, -64, -60, 25, -80, 30, -16, 0, 0, -121, 100, 96, 10, 60, 0, -81, -8, 48, -40, 12, 22, 0, 50, 180, -50, -30, -52, 65, 0, -54, -4, -18, 48, -70, -20, 0, -36, 18, -60, -48, -40, 17, 0, 100, -12, 36, -12, -10, 0, 0, 132, 20, 4, 0, -74, 142, 0, -9, -20, -142, -2, -138, 16, 0, 8, -114, 20, 150, -30, 144, 0, -78, 72, -185, -20, -2, -72, 0, 0, 89, -60, -68, -72, -90, 0, 72, 80, -42, -120, -15, -24, 0, -82, -15, 100, 103, 0, -112, 0, -24, 24, -9, -16, 0, 148, 0, 48, 53, -60, -174, 144, -10, 0, -180, -36, 121, 96, -42, 20, 0, 18, 40, -144, 20, -24, 162, 0, -9, -50, 6, -86, -174, -84, 0, -84, 18, -32, 105, -40, 65, 0, -90, 12, -125, 96, -12, 92, 0, -80, 192, 84, 18, 42, 0, 0, -182, 0, -117, 120, 22, 148, 0, -2, -95, 20, 27, 64, 60, 0, -34, 36, -78, -36, 15, 24, 0, 8, 8, 0, -62, -52, 93, 0, -5, 12, -7, -12, -28, -80, 0, 56, -96, -24, -80, 84, -5, 0, 219, -90, 20, -24, -78, 24, 0, -4, 108, 36, 42, -80, 96, 0, 10, 30, -90, -36, -9, 0, 0, 60, -18, -4, -270, -24, 85, 0, -84, 30, 72, 0, -132, -24, 0, 120, -190, 54, 18, 24, -24, 0, 16, 16, -104, 20, 70, 136, 0, -20, 6, 90, -56, 0, 37, 0, -75, 24, 24, -152, 224, -20, 0, 24, -21, -144, 35, -8, 40, 0, 9, 60, -90, 50, -4, 4, 0, -84, 86, 80, -12, 0, -85, 0, 0, -12, -20, 24, 90, 0, 0, -40, -188, -56, 31, -92, 240, 0, -132, -114, -112, 20, -9, 4, 0, -48, 0, -104, -68, -60, 142, 0, 30, 162, 158, 20, 140, 32, 0, 0, 78, 10, -107, -24, -146, 0, -35, 12, -66, 104, -7, 0, 0, -4, 22, 42, 30, -60, 72, 0, 192, 20, 35, 0, 63, 8, 0, 14, -15, 74, -96, 20, -69, 0, -48, -32, 0, 38, -11, 24, 0, -10, 77, -4, -109, -120, 55, 0, 84, -72, -160, 30, -36, -76, 0, -4, 30, 96, 28, -96, -24, 0, -6, 40, 3, 10, 45, -8, 0, 72, 9, 120, 165, -16, 68, 0, -15, -32, 114, -4, 12, -80, 0, 4, 96, 4, 0, -38, 162, 0, 90, 40, 150, 60, -34, 32, 0, 12, 3, 58, -10, 120, -12, 0, 192, -120, -90, -48, -212, -2, 0, 0, -54, -12, 108, -48, 30, 0, -35, 48, -54, 20, -24, 6, 0, -126, -90, 44, -6, -48, 66, 0, -108, 84, -50, -72, 0, -10, 0, 48, 44, 60, -18, -8, -180, 0, 15, -24, -52, 24, 92, -20, 0, 16, 14, -40, 90, -64, -214, 0, -180, 0, -313, -16, -64, -84, 0, 80, 12, -36, -54, -60, 41, 0, 76, 16, 90, -48, 24, -60, 0, 40, -132, 72, -96, 42, -25, 0, -44, 144, 18, -100, 168, -32, 0, -120, 20, -10, -108, -32, 30, 0, 46, 24, -100, -40, 110, -24, 0, -122, -11, 0, -32, 0, 3, 0, -120, -12, 177, 4, 135, -90, 0, -20, 108, -80, 50, -8, -54, 0, 48, -100, 90, -94, -93, 8, 0, 72, 51, 40, -90, 0, 72, 0, 34, 86, -45, 4, -15, -8, 0, 20, 9, -8, -8, -88, -135, 0, -204, -4, -32, 0, 0, -20, 0, -24, 35, 70, 99, -20, 42, 0, 117, -32, 2, 168, -60, 36, 0, -12, -24, -20, 129, 2, -90, 0, 0, -36, 96, 36, 8, 60, 0, -136, -120, 28, 15, 40, 32, 0, -100, 0, -171, -52, 135, -32, 0, 16, 152, -96, 52, 100, -69, 0, 66, -46, 30, -108, 10, 10, 0, -40, 15, 52, -20, 22, -95, 0, 57, -18, 51, 80, 22, 8, 0, -36, 0, 12, 9, -48, -6, 0, -66, -24, 36, 44, -50, 0, 0, -14, -254, 40, 3, 26, -177, 0, -20, 64, 52, -60, 108, 0, 0, -48, 34, 108, -80, -36, -54, 0, 39, 40, -192, 0, 64, -132, 0, 120, 100, 12, 68, -80, 19, 0, -27, -24, 0, 240, 36, 4, 0, -20, 180, 48, -174, -24, 55, 0, 29, -116, -69, 60, -60, 56, 0, 20, 5, 112, 153, 40, 132, 0, 90, 116, -144, -32, 105, 24, 0, -20, 128, -20, -31, 36, -54, 0, -20, -84, 78, -12, -51, 140, 0, -10, 50, 84, 100], "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": "1617.2.a.k", "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], [-1, -1], [1, 0], [0, 3], [-1, 2], [-1, -1], [0, 0], [-1, -4], [1, 0], [-1, -3], [-1, 0], [0, 3], [3, -4], [0, 0], [-1, 2], [5, 3], [-6, 0], [-1, -1], [1, 2], [6, 3], [0, 0], [1, 1], [4, -4], [-1, -4], [0, 0], [1, 5], [1, 0], [0, 0], [-7, -2], [-1, -3], [-2, -4], [-6, -3], [-1, 0], [6, 6], [0, 0], [0, 3], [-7, 4], [-3, -5], [3, -4], [-7, -6], [-6, 0], [0, 0], [6, -4], [0, -3], [-1, 2], [0, 4], [-5, -4], [5, 3], [0, 0], [0, 0], [-6, 0], [-12, -3], [0, -8], [-1, -1], [1, -2], [0, 0], [1, 2], [9, 11], [-1, 8], [6, 3], [-6, 8], [6, 10], [0, 0], [-1, 6], [-11, 2], [1, 1], [-9, 6], [0, -18], [4, -4], [0, 0], [-2, 4], [-1, -4], [1, 0], [3, -1], [0, 0], [6, 9], [0, 0], [1, 5], [4, -4], [1, 13], [1, 0], [6, 6], [-6, -4], [0, 0], [6, -12], [-2, 2], [-7, -2], [1, 4], [-6, 12], [-1, -3], [0, 0], [-12, 0], [-2, -4], [9, 13], [3, 4], [-6, -3], [-6, 8], [0, 0], [-1, 0], [0, 0]]}