# Stored data for newform 6615.2.a.p, downloaded from the LMFDB on 16 April 2024. {"label": "6615.2.a.p", "space_label": "6615.2.a", "level": 6615, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444118487, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 105531282775542642, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 1, 1]], [11, [-12, -2, 1]], [13, [-4, 6, 1]], [17, [-9, -4, 1]]], "qexp_display": "q-\\beta q^{2}+(1+\\beta )q^{4}-q^{5}-3q^{8}+\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 26460, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 52.82104093707697, "hecke_ring_index": 1, "level_radical": 105, "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": "0.032", "prec": 17}, "analytic_rank_proved": true, "char_values": [6615, 1, [3431, 2647, 1081], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "9.375", "prec": 17}, {"__RealLiteral__": 0, "data": "1.027", "prec": 17}, {"__RealLiteral__": 0, "data": "61.756", "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], [7, -1]], "trace_display": [-1, 0, -2, 0], "traces": [0, 2, -1, 0, 3, -2, 0, 0, -6, 0, 1, 2, 0, -6, 0, 0, -3, 4, 0, 0, -3, 0, -14, -6, 0, 2, 16, 0, 0, 10, 0, 4, 7, 0, 11, 0, 0, 4, 13, 0, 6, 2, 0, -6, 16, 0, 3, 4, 0, 0, -1, 0, -22, -4, 0, -2, 0, 0, 8, 10, 0, -6, -15, 0, -4, 6, 0, -16, -7, 0, 0, 22, 0, -18, -2, 0, -13, 0, 0, -16, 3, 0, -14, -6, 0, -4, -10, 0, -6, 6, 0, 0, -9, 0, -28, 0, 0, -16, 0, 0, 3, -24, 0, 8, 18, 0, -11, 0, 0, -14, 14, 0, 0, -16, 0, 6, 2, 0, 8, 0, 0, 6, -23, 0, 19, -2, 0, -24, 27, 0, -16, -12, 0, 0, -18, 0, -12, 12, 0, 8, 0, 0, 2, -32, 0, -10, 22, 0, 6, 10, 0, 0, 0, 0, 0, -4, 0, 14, 21, 0, -7, 0, 0, 4, 16, 0, 3, 6, 0, 18, -11, 0, 4, 0, 0, 0, 10, 0, -42, -28, 0, 14, 0, 0, 18, -4, 0, -22, 32, 0, -13, 4, 0, 22, 8, 0, 0, -24, 0, -12, -6, 0, 12, 0, 0, -2, -4, 0, -4, -26, 0, 4, 7, 0, 0, 6, 0, 0, 7, 0, -16, 14, 0, 20, 0, 0, 34, 38, 0, -2, -3, 0, -30, -36, 0, -4, 2, 0, 0, -16, 0, -42, -29, 0, 17, 0, 0, 26, -12, 0, 1, -12, 0, -6, 38, 0, -25, -24, 0, 0, 22, 0, 6, -20, 0, 4, 0, 0, 2, -8, 0, -12, -19, 0, -45, 2, 0, -22, -4, 0, 0, -18, 0, -14, 20, 0, 68, 0, 0, 0, -8, 0, -40, 36, 0, -10, -12, 0, -70, 18, 0, 0, -52, 0, -13, 6, 0, 12, 0, 0, 15, -6, 0, -4, -46, 0, -37, -8, 0, -16, 4, 0, 0, 26, 0, -6, -2, 0, -6, 0, 0, 44, -9, 0, -3, 16, 0, 6, -87, 0, 7, 30, 0, 0, 18, 0, -39, 32, 0, 6, 0, 0, 20, 0, 0, -22, 48, 0, 40, 24, 0, -12, -7, 0, 0, 18, 0, -2, 9, 0, 2, 0, 0, -36, -2, 0, -12, -4, 0, 36, 13, 0, 50, -6, 0, 0, 28, 0, -24, 30, 0, -12, 0, 0, 51, 16, 0, 18, -20, 0, -3, -60, 0, -38, -36, 0, 0, 4, 0, -10, 14, 0, 12, 0, 0, 6, -34, 0, 26, -10, 0, -18, 37, 0, 12, 4, 0, 0, 0, 0, 10, 30, 0, 6, 0, 0, -21, 0, 0, -48, 6, 0, -20, -6, 0, -6, -10, 0, 0, 26, 0, 28, -50, 0, 7, 0, 0, -12, 27, 0, 9, 0, 0, -16, -28, 0, 18, -10, 0, 0, 28, 0, -30, 20, 0, 0, 0, 0, 34, 54, 0, -12, -5, 0, 35, 16, 0, -38, 18, 0, 0, 40, 0, 46, -52, 0, 7, 0, 0, -48, -3, 0, 84, -34, 0, 24, 42, 0, -62, -8, 0, 0, -22, 0, -27, -8, 0, 56, 0, 0, -18, 50, 0, -54, -18, 0, -16, -18, 0, -28, 11, 0, 0, -32, 0, 0, 48, 0, -22, 0, 0, -52, 97, 0, 1, 14, 0, -6, 57, 0, -14, 26, 0, 0, -54, 0, 12, -24, 0, -8, 0, 0, 48, -48, 0, 16, -6, 0, -66, 54, 0, -8, -100, 0, 0, -6, 0, -34, 52, 0, -2, 0, 0, 22, 54, 0, 21, -42, 0, -26, -8, 0, -6, 8, 0, 0, 80, 0, -48, -38, 0, -22, 0, 0, 52, -6, 0, -42, -13, 0, 23, -64, 0, 0, 46, 0, 0, 12, 0, -28, -19, 0, -36, 0, 0, 2, -76, 0, 60, 8, 0, 24, 48, 0, 17, 24, 0, 0, -44, 0, -27, -48, 0, 10, 0, 0, 13, -62, 0, -16, 16, 0, 6, 4, 0, 12, 10, 0, 0, -34, 0, 12, -48, 0, 18, 0, 0, -30, 9, 0, 18, 46, 0, 14, -16, 0, 105, 0, 0, 0, 12, 0, -54, -18, 0, -12, 0, 0, 22, -14, 0, -12, 39, 0, -68, -8, 0, -22, -107, 0, 0, 52, 0, 0, -82, 0, 78, 0, 0, 12, -2, 0, -18, -12, 0, 32, -68, 0, 66, 12, 0, 0, 6, 0, 21, 10, 0, -28, 0, 0, -22, -38, 0, -64, -12, 0, -21, 36, 0, 24, -6, 0, 0, -40, 0, -10, 44, 0, -20, 0, 0, -24, 20, 0, 28, 0, 0, 48, -31, 0, 0, 42, 0, 0, -46, 0, 81, -4, 0, -82, 0, 0, -6, -12, 0, 4, 48, 0, -54, -26, 0, -4, -33, 0, 0, -14, 0, 42, -75, 0, -21, 0, 0, -34, 4, 0, 8, -4, 0, -44, 7, 0, 30, -44, 0, 0, 84, 0, 72, 94, 0, -56, 0, 0, -28, -4, 0, -26, 5, 0, -16, 60, 0, -14, -24, 0, 0, -82, 0, 40, -3, 0, 90, 0, 0, -6, -52, 0, 70, -52, 0, 18, -43, 0, -33, -18, 0, 0, 19, 0, 11, -12, 0, -44, 0, 0, 0, 40, 0, 24, -4, 0, 24, 46, 0, 0, 88, 0, 0, -42, 0, -4, 42, 0, -39, 0, 0, -34, 37, 0, -10, 58, 0, 10, 34, 0, 81, 18, 0, 0, 42, 0, 30, -52, 0, 28, 0, 0, -104, -6, 0, -34, -40, 0, 48, -14, 0, 32, 31, 0, 0, 26, 0, -6, 32, 0, -29, 0, 0, 24, -18, 0, 78, -40, 0, 4, -18, 0, 22, -46, 0, 0, -54, 0, 31, 22, 0, -68, 0, 0, -32, -28, 0, -6, -28, 0, 16, 78, 0, 80, 13, 0, 0, -4, 0, -4, -50, 0, -66, 0, 0, -28, 32, 0, -37, -22, 0, 100, -18, 0, -8, 36, 0, 0, 58, 0, 35, -16, 0, 84, 0, 0, -46, 42, 0, 24, 68, 0, 78, 18, 0, -80, 27, 0, 0, 12, 0, -14, 11, 0, 6, 0, 0, 46, -96, 0, -35, -26, 0, -62, -12, 0, -48, 8, 0, 0, 72, 0, -100, 24, 0, -90, 0, 0, 9, 2, 0, 74, 3, 0, 4, -42, 0, 8, -80, 0, 0, -64, 0, 72, 4, 0, -38, 0, 0, 26, 40, 0, 36, -6, 0, 8, -4, 0, 9, -4, 0, 0, 14, 0, -7, 54, 0, 14, 0, 0, 68, -16, 0, -36, 0, 0, 50, 20, 0, -6, 14, 0, 0, 18, 0, -12, 78, 0, -109, 0, 0, -50, 70, 0, -7, -52, 0, -12, -10, 0, -36, -64, 0, 0, 16, 0, 52, 6, 0, -14, 0, 0, 32, 64, 0, -24, -24, 0, -66, -20, 0, 98, 4, 0, 0, 26, 0, 84, -66, 0, 24, 0, 0, -2, -34, 0, -8, 8, 0, -38, -46, 0, 12, -84, 0, 0, -113, 0, 96, 2, 0, 8, 0, 0, 3, -14, 0, 12, -22, 0, -52, -96, 0, -52, 30, 0, 0, 26, 0, 36, 2, 0, 14, 0, 0, -40, 15, 0, 21, 4, 0, 0, 39, 0, -2, -8, 0, 0, 14, 0, -95, -90, 0, -16, 0, 0, -30, -52, 0, 16, 66, 0, 32, -14, 0, -18, -67, 0, 0, 42, 0, 70, 0, 0, 29, 0, 0, -28, 34, 0, 78, -48, 0, 12, -17, 0, 136, 8, 0, 0, 104, 0, -34, 54, 0, 100, 0, 0, -123, -26, 0, 4, 92, 0, 12, -10, 0, -68, 30, 0, 0, -56, 0, 18, -1, 0, 72, 0, 0, 12, -42, 0, 22, 102, 0, 48, 53, 0, 11, 6, 0, 0, -25, 0, -38, 30, 0, -52, 0, 0, 28, 108, 0, -28, 25, 0, 24, -46, 0, 24, 60, 0, 0, -120, 0, 8, 13, 0, 5, 0, 0, 22, -44, 0, -22, -82, 0, 104, -12, 0, 89, 16, 0, 0, -6, 0, 20, 72, 0, 20, 0, 0, 4, 0, 0, 26, -110, 0, 92, -4, 0, -30, 9, 0, 0, 36, 0, 14, -24, 0, -18, 0, 0, -24, -2, 0, -10, -6, 0, 8, -72, 0, 22, 26, 0, 0, -54, 0, 78, 12, 0, -30, 0, 0, 19, 24, 0, -32, 84, 0, 9, -2, 0, -66, 45, 0, 0, 72, 0, -2, -8, 0, 20, 0, 0, 12, 19, 0, 0, 22, 0, 26, 100, 0, 4, 0, 0, 0, -2, 0, 113, -76, 0, 20, 0, 0, 26, 18, 0, 18, 26, 0, 66, -42, 0, -12, -78, 0, 0, 14, 0, 42, 98, 0, -20, 0, 0, -18, 30, 0, 45, 2, 0, 46, -68, 0, 84, 84, 0, 0, -42, 0, 150, 22, 0, -12, 0, 0, -18, 0, 0, -24, -42, 0, 8, 24, 0, 38, 92, 0, 0, 60, 0, -12, 40, 0, -46, 0, 0, -36, 32, 0, 10, 100, 0, 64, 12, 0, 60, 10, 0, 0, 53, 0, 12, -28, 0, -46, 0, 0, -32, -18, 0, 10, 70, 0, -80, 16, 0, -18, 66, 0, 0, -12, 0, 26, 77, 0, 40, 0, 0, 90, -32, 0, 52, 18, 0, -66, 2, 0, 67, 4, 0, 0, 13, 0, 96, -48, 0, -6, 0, 0, -12, 8, 0, -116, -87, 0, 28, -12, 0, -46, 41, 0, 0, 48, 0, 48, -66, 0, -33, 0, 0, -46, -15, 0, 24, -72, 0, 6, 84, 0, 26, -104, 0, 0, -128, 0, 21, 4, 0, 44, 0, 0, 46, -50, 0, -70, -86, 0, 72, 0, 0, -8, 37, 0, 0, 38, 0, 8, 56, 0, 14, 0, 0, -12, 36, 0, 145, 16, 0, 0, -4, 0, -4, 16, 0, 0, -90, 0, 152, -30, 0, 10, 0, 0, -122, 20, 0, -26, 36, 0, -34, -24, 0, 18, -24, 0, 0, 6, 0, 26, 32, 0, 2, 0, 0, -66, -26, 0, -15, -12, 0, 140, 6, 0, -30, 18, 0, 0, 46, 0, -12, -32, 0, 124, 0, 0, 67, -44, 0, -58, 6, 0, 9, 104, 0, 78, -120, 0, 0, -26, 0, -46, 3, 0, 78, 0, 0, -16, -80, 0, 52, 54, 0, -54, 121, 0, 25, -6, 0, 0, -12, 0, 87, -78, 0, 16, 0, 0, -1, -24, 0, -24, -7, 0, 6, 36, 0, -30, 48, 0, 0, -88, 0, 76, 0, 0, 71, 0, 0, -48, -77, 0, -18, 44, 0, 52, 6, 0, -49, 92, 0, 0, 39, 0, -82, -88, 0, -32, 0, 0, 138, 8, 0, -46, -24, 0, 21, -6, 0, -48, 39, 0, 0, 16, 0, 38, -126, 0, -85, 0, 0, -28, -20, 0, -16, 20, 0, 0, -44, 0, -42, -82, 0, 0, -87, 0, -87, 22, 0, -2, 0, 0, -48, -114, 0, -70, -60, 0, 52, 54, 0, 74, -40, 0, 0, 4, 0, -24, 130, 0, -36, 0, 0, -22, -35, 0, 68, 12, 0, -24, -2, 0, 7, 6, 0, 0, 36, 0, -114, 48, 0, 0, 0, 0, 52, 80, 0, -18, 42, 0, -44, -6, 0, 108, 6, 0, 0, 2, 0, 6, -64, 0, -9, 0, 0, 0, -78, 0, 124, 26, 0, -42, -2, 0, 2, -28, 0, 0, 58, 0, 10, 174, 0, -38, 0, 0, 108, 36, 0, -104, -41, 0, 2, 6, 0, -96, 60, 0, 0, -60, 0, -16, 12, 0, -38, 0, 0, 4, 42, 0, 22, 24, 0, 40, 4, 0, -39, -36, 0, 0, -196, 0, -13, 40, 0, 78, 0, 0, 106, 2, 0, 18, -50, 0, 48, 60, 0, 6, 120, 0, 0, 0, 0, 20, -38, 0, -44, 0, 0, 56, 126, 0, -28, 72, 0, 70, -50, 0, 17, -160, 0, 0, 24, 0, -18, -132, 0, -30, 0, 0, -96, 12, 0, 68, 5, 0, 34, 12, 0, 0, -120, 0, 0, -8, 0, -104, 86, 0, -99, 0, 0, -80, -51, 0, -22, -60, 0, -16, -78, 0, 30, -24, 0, 0, 1, 0, -86, -18, 0, -70, 0, 0, 20, 14, 0, 46, -162, 0, -59, -64, 0, 0, 3, 0, 0, -42, 0, 60, 68, 0, 36, 0, 0, -96, 1, 0, -13, 38, 0, -98, 109, 0, 36, 40, 0, 0, 18, 0, 61, -24, 0, -34, 0, 0, 10, 0, 0, -4, 92, 0, -12, 54, 0, -120, 19, 0, 0, 10, 0, -18, -45, 0, -14, 0, 0, -10, -180, 0, 72, -40, 0, 136, -12, 0, -96, 54, 0, 0, 204, 0, 136, 36, 0, 0, 0, 0, -59, -6, 0, 20, 55, 0, 34, -60, 0, -14, 88, 0, 0, 70, 0, 54, -26, 0, -94, 0, 0, 10, 18, 0, -36, -96, 0, -100, 87, 0, 60, 18, 0, 0, -27, 0, -37, -42, 0, -2, 0, 0, -42, -64, 0, -12, -12, 0, -144, -56, 0, -4, 110, 0, 0, -60, 0, 44, -100, 0, 112, 0, 0, -68, 70, 0, 0, 4, 0, 36, -30, 0, 16, 52, 0, 0, -10, 0, 24, -24, 0, -30, 0, 0, -48, 4, 0, 108, 84, 0, -130, -6, 0, -102, 36, 0, 0, -18, 0, 22, -14, 0, 15, 0, 0, 16, 21, 0, 52, 20, 0, 0, 110, 0, 4, 40, 0, 0, 21, 0, 58, 48, 0, -132, 0, 0, -6, 18, 0, 84, -26, 0, 153, 96, 0, 18, 20, 0, 0, 104, 0, 6, 66, 0, 20, 0, 0, -4, 168, 0, -12, 6, 0, -24, 42, 0, 10, 48, 0, 0, -36, 0, -12, -4, 0, 56, 0, 0, 52, 116, 0, -26, -68, 0, 54, -78, 0, 100, -72, 0, 0, -28, 0, -12, 79, 0, 50, 0, 0, -62, 42, 0, -56, -64, 0, 34, -7, 0, 64, 44, 0, 0, 42, 0, -114, 38, 0, 8, 0, 0, 105, 12, 0, 22, -4, 0, -27, -54, 0, 84, -30, 0, 0, -56, 0, -52, -9, 0, 20, 0, 0, 0, 46, 0, -12, 78, 0, -4, 0, 0, 204, 16, 0, 0, -13, 0, 28, -74, 0, 72, 0, 0, -65, 136, 0, -54, -18, 0, 20, 56, 0, 10, -76, 0, 0, 78, 0, 2, -123, 0, -108, 0, 0, 132, -63, 0, -28, -12, 0, -42, 0, 0, -65, 68, 0, 0, 30, 0, 56, 16, 0, -20, 0, 0, -8, -24, 0, 16, 103, 0, 45, 0, 0, 32, -44, 0, 0, 106, 0, -60, 50, 0, 13, 0, 0, -16, -34, 0, -54, -108, 0, -54, -70, 0, 98, -46, 0, 0, 35, 0, 45, 12, 0, -30, 0, 0, 5, -90, 0, 52, 134, 0, 52, 24, 0, -16, -35, 0, 0, -106, 0, -16, -12, 0, -76, 0, 0, 40, -39, 0, -54, 38, 0, -54, 33, 0, -18, 16, 0, 0, -200, 0, -212, 60, 0, -58, 0, 0, -104, 20, 0, -40, -36, 0, -66, -16, 0, 0, -24, 0, 0, -46, 0, -4, 135, 0, 52, 0, 0, -18, 102, 0, -120, -24, 0, -32, -7, 0, -86, 92, 0, 0, 164, 0, 18, 0, 0, 44, 0, 0, -76, 48, 0, -14, 43, 0, 3, 46, 0, -4, 12, 0, 0, 42, 0, 12, -84, 0, 18, 0, 0, 34, -14, 0, -12, -54, 0, 28, -128, 0, -29, -24, 0, 0, -69, 0, -42, 0, 0, -110, 0, 0, 24, -56, 0, -128, 62, 0, -54, -70, 0, 8, -78, 0, 0, 30, 0, -20, 48, 0, -54, 0, 0, 12, -64, 0, 22, 150, 0, -36, -72, 0, -107, -104, 0, 0, 27, 0, -50, -12, 0, 8, 0, 0, 60, 52, 0, -48, -4, 0, -78, -56, 0, -16, -67, 0, 0, 84, 0, -94, -128, 0, 28, 0, 0, 48, 18, 0, 106, -78, 0, -50, 0, 0, -6, 0, 0, 0, -85, 0, -112, 54, 0, -48, 0, 0, 18, 44, 0, 70, -82, 0, -192, 44, 0, -68, 16, 0, 0, 36, 0, 18, -38, 0, 156, 0, 0, 0, 65, 0, 122, 28, 0, 78, -132, 0, -11, 10, 0, 0, 2, 0, -21, 28, 0, 52, 0, 0, 60, -68, 0, 32, 6, 0, -6, -50, 0, -92, -9, 0, 0, 0, 0, 50, 64, 0, -48, 0, 0, -22, 56, 0, -75, -48, 0, -76, 22, 0, 86, -92, 0, 0, -18, 0, 130, -4, 0, -36, 0, 0, 51, 52, 0, 44, -78, 0, -97, -112, 0, 22, -24, 0, 0, 104, 0, -4, -1, 0, 144, 0, 0, -14, -88, 0, -90, 78, 0, 0, -27, 0, -181, 6, 0, 0, 33, 0, -57, -36, 0, 66, 0, 0, -75, 36, 0, -12, 14, 0, -66, -24, 0, -26, -34, 0, 0, 90, 0, -168, -58, 0, -31, 0, 0, -18, 39, 0, 54, 8, 0, -32, -130, 0, -96, -124, 0, 0, -12, 0, 0, -18, 0, 24, 0, 0, -20, 74, 0, 84, -18, 0, 220, 8, 0, 124, 29, 0, 0, 40, 0, -44, 26, 0, 69, 0, 0, -72, -48, 0, -26, -80, 0, 48, -64, 0, -96, -114, 0, 0, -33, 0, 0, -16, 0, 54, 0, 0, 6, -130, 0, 52, -112, 0, -86, 24, 0, 12, 66, 0, 0, 134, 0, -54, 230, 0, 60, 0, 0, 164, -57, 0, 103, 8, 0, -8, 133, 0, 100, 46, 0, 0, 16, 0, -159, 92, 0, -104, 0, 0, -72, -120, 0, 6, -138, 0, 2, 64, 0, 100, 84, 0, 0, 34, 0, -48, 36, 0, -52, 0, 0, 32, -14, 0, -21, 156, 0, -60, 2, 0, -12, 50, 0, 0, -162, 0, -120, -20, 0, -4, 0, 0, -108, -22, 0, 72, 97, 0, -54, 72, 0, -32, 8, 0, 0, -138, 0, -120, -21, 0, -96, 0, 0, 42, 6, 0, -232, 40, 0, -78, -32, 0, -81, 26, 0, 0, -24, 0, 8, -62, 0, -40, 0, 0, -29, -20, 0, 44, 6, 0, 118, -50, 0, -8, -16, 0, 0, -12, 0, 92, -8, 0, 87, 0, 0, 58, 177, 0, -80, -194, 0, -78, 108, 0, -73, 40, 0, 0, 48, 0, 46, -44, 0, 38, 0, 0, 162, -50, 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": "135.2.a.c", "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], [0, 0], [-3, 0], [0, 0], [0, 1], [0, 2], [0, 0], [-2, -2], [0, 0], [0, 0], [-2, 1], [3, -2], [0, 0], [1, -2], [-1, -1], [0, 0], [-6, -2], [-3, 0], [0, 0], [1, 0], [6, 4], [0, 0], [0, 0], [6, -2], [0, 0], [1, 2], [3, 1], [0, 0], [6, -1], [0, 0], [0, 0], [2, 0], [6, 1], [0, 0], [3, 0], [0, 2], [0, 0], [-4, 2], [6, 4], [0, 0], [0, 3], [0, 4], [0, 0], [0, 0], [0, -1], [0, 0], [-8, -6], [-3, 2], [0, 0], [0, -2], [0, 0], [0, 0], [6, -4], [6, -2], [0, 0], [-5, 4], [-6, -3], [0, 0], [1, -6], [2, 2], [0, 0], [-10, 4], [-3, -1], [0, 0], [0, 0], [12, -2], [0, 0], [-8, -2], [0, -2], [0, 0], [-5, -3], [0, 0], [0, 0], [-7, -2], [2, -1], [0, 0], [-6, -2], [-3, 0], [0, 0], [-3, 2], [-6, 2], [0, 0], [0, -6], [0, 6], [0, 0], [0, 0], [-3, -3], [0, 0], [-12, -4], [-1, 2], [0, 0], [-8, 0], [0, 0], [0, 0], [1, 1]]}