# Stored data for newform 9747.2.a.n, downloaded from the LMFDB on 11 February 2025. {"Nk2": 38988, "analytic_conductor": 77.83018685014198, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [19, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [9747, 1, [6860, 2890], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 10, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, 1, 1]], [5, [-1, 1, 1]], [7, [-9, 3, 1]], [13, [2, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795189380627, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "9747.2.a.n", "level": 9747, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 19], "level_radical": 57, "minimal_twist": "9747.2.a.n", "nf_label": "2.2.5.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta q^{2}+(-1+\\beta )q^{4}-\\beta q^{5}-3\\beta q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9747.2.a", "trace_display": [-1, 0, -1, -3], "trace_hash": 804238306834188095, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.770", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "57.348", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, "traces": [0, 2, -1, 0, -1, -1, 0, -3, 0, 0, 3, 2, 0, -4, 9, 0, -3, -3, 0, 0, -2, 0, 9, -8, 0, -7, 2, 0, -6, -10, 0, 2, 9, 0, 14, 9, 0, -2, 0, 0, -5, 0, 0, 5, -11, 0, -1, 9, 0, 13, 1, 0, 2, 9, 0, 9, -15, 0, -5, -15, 0, 14, -16, 0, 4, 2, 0, -1, -11, 0, -12, 15, 0, -16, 1, 0, 0, 27, 0, 0, 9, 0, -15, -16, 0, 14, 20, 0, -20, 11, 0, 6, 9, 0, -12, 0, 0, -3, -29, 0, 6, 7, 0, -16, 0, 0, -22, 12, 0, -7, -7, 0, 27, -12, 0, -1, 15, 0, -5, 42, 0, 20, -17, 0, 14, 6, 0, -10, -25, 0, -6, -2, 0, 0, 8, 0, -25, 6, 0, -10, 3, 0, -25, -4, 0, -5, 8, 0, 1, -12, 0, -2, 0, 0, -21, -16, 0, 7, -15, 0, -2, -3, 0, 2, 15, 0, 28, 21, 0, -18, -17, 0, -25, 16, 0, 3, 27, 0, -8, 10, 0, 12, -18, 0, 10, 1, 0, 47, 3, 0, 0, -27, 0, 23, 24, 0, 16, 9, 0, -27, 5, 0, -1, -15, 0, -15, 3, 0, 6, 0, 0, 16, 13, 0, 9, 20, 0, -48, 11, 0, -2, 6, 0, 4, -6, 0, 16, 18, 0, -40, -7, 0, 20, 30, 0, -12, 20, 0, -51, -9, 0, -29, 10, 0, 3, -29, 0, 0, 30, 0, -23, 3, 0, -28, 0, 0, 7, 13, 0, 3, 4, 0, -34, 15, 0, -22, 0, 0, -7, 30, 0, -15, 42, 0, -13, -17, 0, -1, -15, 0, 15, -24, 0, -10, 10, 0, -18, -45, 0, 33, -5, 0, 8, 18, 0, -5, 0, 0, -14, 16, 0, 60, -34, 0, 0, -17, 0, -41, -6, 0, 18, -15, 0, 38, 19, 0, 15, 33, 0, -50, -7, 0, -21, 0, 0, 14, 34, 0, 30, -36, 0, 5, -12, 0, -28, 8, 0, -36, 9, 0, 3, -58, 0, -66, -45, 0, 27, -3, 0, -4, -24, 0, 19, -1, 0, -25, -3, 0, 15, -30, 0, 0, 39, 0, 12, 8, 0, 28, -3, 0, -3, -66, 0, -46, -26, 0, 15, 20, 0, -37, 0, 0, -14, -12, 0, -21, -24, 0, -21, -42, 0, -13, 45, 0, 33, -15, 0, 4, 6, 0, 3, -18, 0, -4, -6, 0, -15, -2, 0, 0, 15, 0, 13, -15, 0, 28, -18, 0, 0, -36, 0, -5, -38, 0, 35, -2, 0, -51, -21, 0, -15, 30, 0, 6, 54, 0, -4, 0, 0, -46, 5, 0, -28, -12, 0, -8, 23, 0, -21, -12, 0, -60, -4, 0, 21, -18, 0, 5, 15, 0, 8, -51, 0, 8, -15, 0, -35, 1, 0, 24, 21, 0, 25, 95, 0, 0, 9, 0, -8, 8, 0, 4, 17, 0, -30, 24, 0, 53, 20, 0, 42, 18, 0, -35, 0, 0, -48, -75, 0, 37, 17, 0, -4, 42, 0, -1, -31, 0, 10, 73, 0, 24, 24, 0, -54, 3, 0, -21, -9, 0, 10, 12, 0, 60, 36, 0, -55, -78, 0, -4, 31, 0, 0, 0, 0, 9, -15, 0, -35, -77, 0, -24, 15, 0, -1, 11, 0, -47, 7, 0, -29, 0, 0, -45, 8, 0, 25, -30, 0, -10, -36, 0, -23, 3, 0, 16, -20, 0, 35, 3, 0, -4, 22, 0, 45, 33, 0, -5, -54, 0, 10, 84, 0, -61, 0, 0, -54, -33, 0, 0, -10, 0, 3, -18, 0, -51, 26, 0, 2, 39, 0, 6, -45, 0, 36, 10, 0, -12, 0, 0, 31, -18, 0, -10, 3, 0, 15, -17, 0, 4, -2, 0, -5, -24, 0, 12, -9, 0, -26, 3, 0, -7, 30, 0, -9, 0, 0, -26, -35, 0, 15, 35, 0, 28, 24, 0, 0, -9, 0, -65, -2, 0, -36, 18, 0, -34, -45, 0, 63, 40, 0, 1, -35, 0, -40, 0, 0, 60, 7, 0, -9, -26, 0, -64, 3, 0, 9, 1, 0, 72, 20, 0, 24, 63, 0, -13, 63, 0, 60, -18, 0, 70, -43, 0, 24, -15, 0, -75, 77, 0, 21, 8, 0, 0, -16, 0, -17, -3, 0, 9, 40, 0, 5, 22, 0, -18, -25, 0, 50, -58, 0, 9, 0, 0, -51, 45, 0, -4, 30, 0, -24, 105, 0, -36, -54, 0, -41, 29, 0, -50, 2, 0, 93, 40, 0, -14, 13, 0, -21, 27, 0, 38, -36, 0, 10, -34, 0, -43, -19, 0, 0, 19, 0, 33, 41, 0, -19, 30, 0, 10, 48, 0, 1, -35, 0, 8, -45, 0, 36, 0, 0, -55, -36, 0, -87, 19, 0, 29, -42, 0, 15, 48, 0, -28, -22, 0, 21, -9, 0, -51, -34, 0, 74, -16, 0, -21, 32, 0, -5, 14, 0, -8, 30, 0, -9, 34, 0, 0, 15, 0, 0, -4, 0, 49, 10, 0, -30, 14, 0, -28, -44, 0, -8, -132, 0, -28, 0, 0, -22, 2, 0, 32, -15, 0, 22, 9, 0, 30, -66, 0, -39, 8, 0, 21, 93, 0, -30, -20, 0, -12, -5, 0, -25, 3, 0, 27, -48, 0, -6, -60, 0, 2, -15, 0, 0, -69, 0, 26, 43, 0, -21, 42, 0, -73, 22, 0, -24, -89, 0, 0, 19, 0, -27, 0, 0, 15, 45, 0, 31, 50, 0, -101, 15, 0, -20, 39, 0, -40, -39, 0, 24, 18, 0, 64, -55, 0, 25, -102, 0, 57, 15, 0, 43, -30, 0, 7, 41, 0, -55, 38, 0, 0, 5, 0, 72, -26, 0, -59, -27, 0, -9, -69, 0, 30, -15, 0, 0, 17, 0, 32, 0, 0, 60, 9, 0, -14, 17, 0, 51, -39, 0, 30, -2, 0, 12, -24, 0, 48, -40, 0, -27, 102, 0, -45, -39, 0, -51, 39, 0, 1, -13, 0, 56, -66, 0, 33, -30, 0, 0, -65, 0, 20, -6, 0, 120, 6, 0, 99, -41, 0, 40, -54, 0, -40, 1, 0, 9, 0, 0, 32, 8, 0, 59, 24, 0, -15, 10, 0, -19, -31, 0, 20, -72, 0, -11, 15, 0, 0, 41, 0, -19, -24, 0, 74, 48, 0, 6, -71, 0, -37, -18, 0, 24, -42, 0, 0, -15, 0, 70, -6, 0, -48, 40, 0, 74, -38, 0, -102, 42, 0, -9, 61, 0, -48, 0, 0, 30, 87, 0, 0, 3, 0, 24, 10, 0, -40, 5, 0, 81, 32, 0, -21, -18, 0, 0, 54, 0, -52, -31, 0, -18, 31, 0, -106, 41, 0, 20, 6, 0, 57, 46, 0, 0, 72, 0, -28, 45, 0, -7, -99, 0, 17, 40, 0, -25, 23, 0, -14, -40, 0, 33, 0, 0, 17, 47, 0, 6, -7, 0, 40, -28, 0, 30, -36, 0, 21, -75, 0, -59, 39, 0, 102, 42, 0, 40, 15, 0, -2, 0, 0, 11, 35, 0, 18, -20, 0, 21, -22, 0, 0, 15, 0, -132, -110, 0, -35, 58, 0, 24, -84, 0, -32, 36, 0, -21, -24, 0, 72, 0, 0, 15, 6, 0, 27, -9, 0, -36, 18, 0, 60, 93, 0, 40, 8, 0, -8, -18, 0, -42, 23, 0, -56, -78, 0, -15, 17, 0, -110, 70, 0, 10, 81, 0, -48, 21, 0, 0, -54, 0, -1, -14, 0, 24, -82, 0, -23, -35, 0, 38, 13, 0, -2, -63, 0, 56, 0, 0, -24, -92, 0, -20, 24, 0, 28, 20, 0, 57, -115, 0, 2, 24, 0, -29, 45, 0, -4, -45, 0, -14, 58, 0, 6, -24, 0, -45, -31, 0, 117, -24, 0, -10, 90, 0, 0, 58, 0, 85, 14, 0, -1, -26, 0, 15, 81, 0, -54, 46, 0, 45, 57, 0, 92, 0, 0, 77, -9, 0, -50, -55, 0, -12, 23, 0, -12, -70, 0, 51, 0, 0, -78, 32, 0, -15, -14, 0, -55, -27, 0, -10, -23, 0, -35, -68, 0, 30, -14, 0, 88, 84, 0, 0, 78, 0, -130, 35, 0, 35, -42, 0, 32, 1, 0, 73, -75, 0, -35, 32, 0, 33, 0, 0, -72, 0, 0, 27, 15, 0, 85, -81, 0, -51, -80, 0, -15, 34, 0, -19, -35, 0, -72, 19, 0, 3, -30, 0, -74, 45, 0, 44, 99, 0, -38, -55, 0, -70, 8, 0, 0, -21, 0, 5, -24, 0, 18, 60, 0, -73, -30, 0, -45, 45, 0, -44, -36, 0, -23, 0, 0, -15, -34, 0, 124, 18, 0, 24, -20, 0, 14, -27, 0, -15, 25, 0, -63, -24, 0, 44, -41, 0, -61, 14, 0, -40, -9, 0, 45, -20, 0, -11, -77, 0, -142, -57, 0, 0, -54, 0, -52, -90, 0, 25, 87, 0, 40, -8, 0, -54, 54, 0, 32, 16, 0, -55, 0, 0, -54, 3, 0, 26, 24, 0, 30, -6, 0, -12, 65, 0, -114, 25, 0, 5, 47, 0, 20, -27, 0, -40, 18, 0, 45, 2, 0, 33, 100, 0, 2, 5, 0, 9, -48, 0, 0, -79, 0, 33, -45, 0, -34, -30, 0, 32, 0, 0, -29, 4, 0, 56, 0, 0, 148, 0, 0, 63, -62, 0, -39, -54, 0, 55, -90, 0, 9, 31, 0, 10, 3, 0, 25, 20, 0, -27, -11, 0, -76, 25, 0, -40, -84, 0, 19, 46, 0, 72, 102, 0, -5, 6, 0, 0, -15, 0, 69, 85, 0, 49, -9, 0, 76, 36, 0, -12, -33, 0, -40, -22, 0, -75, 0, 0, 73, 0, 0, -84, 42, 0, -9, 34, 0, 18, 63, 0, -5, 15, 0, -33, -35, 0, 62, 93, 0, -9, -35, 0, 45, -56, 0, -72, -27, 0, -8, 18, 0, -28, -9, 0, 0, -3, 0, -17, 60, 0, 6, -41, 0, 45, -12, 0, 89, 11, 0, -32, -105, 0, -25, 0, 0, -15, 51, 0, -92, -15, 0, 57, 114, 0, 63, -22, 0, 9, 117, 0, 20, 45, 0, 18, -35, 0, 3, -11, 0, 16, -142, 0, -39, 50, 0, 181, 21, 0, -45, 49, 0, 0, -24, 0, -4, 58, 0, -36, 64, 0, 8, 84, 0, 20, 3, 0, 51, 60, 0, -27, 0, 0, 20, 30, 0, 23, 72, 0, -41, 41, 0, 1, 4, 0, 24, 12, 0, -42, -51, 0, 125, 27, 0, 60, 63, 0, 2, 6, 0, 10, 18, 0, 75, -5, 0, -49, 97, 0, 0, -11, 0, 42, 50, 0, 24, -60, 0, 15, -9, 0, -4, -16, 0, 33, 77, 0, 26, 0, 0, 87, -1, 0, -17, 37, 0, 3, -12, 0, 68, 38, 0, -61, -135, 0, -17, 64, 0, 50, -30, 0, -93, 36, 0, 17, -35, 0, -51, -30, 0, -11, -12, 0, 28, -50, 0, 0, -82, 0, 40, -5, 0, -78, 142, 0, 50, -19, 0, 40, -162, 0, 44, 133, 0, 45, 0, 0, 20, 48, 0, -27, 41, 0, -13, 10, 0, -60, 30, 0, 57, -6, 0, 56, 22, 0, 56, -92, 0, 50, 60, 0, -29, 10, 0, 96, -54, 0, -49, -36, 0, -21, -165, 0, 0, 8, 0, 50, -6, 0, 129, -1, 0, -49, 48, 0, 93, 0, 0, 21, -18, 0, 6, 0, 0, 40, 13, 0, -31, -73, 0, 73, -33, 0, 28, 67, 0, 3, -92, 0, 53, -30, 0, 72, -105, 0, 10, 45, 0, -80, 90, 0, 74, -95, 0, 34, -19, 0, 45, -16, 0, 0, 84, 0, 156, -153, 0, -27, 24, 0, 24, -13, 0, 25, -9, 0, -19, -59, 0, 57, 0, 0, 68, -45, 0, -2, -87, 0, 45, -5, 0, 47, 48, 0, -102, -99, 0, 30, 24, 0, 24, 3, 0, -61, -25, 0, 36, 15, 0, -14, 30, 0, -109, 53, 0, -47, -36, 0, 0, 52, 0, -55, -9, 0, 4, -74, 0, -2, -69, 0, 90, -24, 0, 65, -21, 0, 15, 0, 0, -70, 36, 0, -60, -105, 0, 34, -22, 0, 71, -45, 0, -33, 192, 0, -130, -27, 0, 4, -7, 0, 28, -69, 0, 42, 108, 0, 74, -55, 0, 5, 135, 0, 42, -51, 0, 0, 32, 0, -86, 69, 0, -7, -45, 0, -162, 90, 0, -67, 76, 0, -59, 0, 0, 0, 0, 0, -9, -54, 0, 108, -67, 0, -14, 80, 0, 48, 15, 0, -39, 25, 0, 45, -162, 0, 45, 30, 0, 95, 70, 0, -5, 16, 0, 72, -56, 0, -30, -77, 0, -27, -51, 0, 0, 15, 0, 138, 36, 0, -46, 56, 0, 4, 103, 0, -57, -36, 0, 6, -68, 0, 116, 0, 0, -45, 6, 0, -22, -102, 0, 48, -99, 0, -137, -6, 0, 95, -15, 0, -170, 4, 0, 54, -45, 0, 128, 96, 0, -38, 80, 0, -4, -40, 0, -18, -27, 0, -109, 39, 0, 0, -6, 0, -8, -30, 0, -36, 93, 0, 43, -60, 0, -12, 78, 0, -2, 3, 0, 5, 0, 0, 9, -65, 0, 40, 30, 0, -25, -4, 0, -56, -10, 0, -85, 18, 0, 42, -48, 0, 159, -15, 0, -102, -42, 0, 105, -34, 0, 50, -15, 0, 10, 7, 0, -118, 15, 0, 0, 43, 0, 6, -57, 0, -27, -39, 0, 37, 43, 0, 88, -36, 0, 75, 120, 0, 61, 0, 0, -21, 66, 0, -31, 34, 0, 0, 54, 0, -24, -15, 0, 52, -27, 0, 30, 29, 0, -45, -36, 0, -172, 55, 0, -19, -33, 0, -105, 57, 0, 50, -93, 0, 59, 33, 0, 0, 66, 0, 31, -21, 0, 70, -32, 0, -14, -9, 0, 61, 15, 0, -14, 65, 0, 12, 0, 0, -16, 50, 0, -67, -138, 0, 36, -3, 0, 50, 43, 0, -6, 56, 0, -37, -135, 0, 44, -96, 0, -38, -55, 0, -156, -54, 0, -55, 60, 0, -55, 16, 0, -45, -3, 0, 0, -44, 0, -45, 126, 0, 43, -99, 0, 25, -37, 0, 5, 75, 0, 16, 41, 0, -105, 0, 0, -15, -104, 0, -33, 48, 0, 75, -20, 0, -59, 65, 0, 3, -93, 0, 72, -72, 0, 147, 161, 0, -73, -4, 0, 90, -27, 0, 14, 54, 0, 27, 21, 0, -24, 39, 0, 0, 10, 0, 9, 25, 0, 47, -85, 0, 0, -81, 0, -4, 74, 0, -53, 54, 0, 51, 0, 0, 74, 45, 0, -42, 100, 0, 83, -42, 0, -74, 72, 0, -36, -1, 0, -20, 26, 0, 51, 3, 0, -39, -59, 0, 98, 43, 0, 72, -2, 0, 0, 30, 0, -46, -66, 0, 0, 175, 0, -102, -66, 0, 75, -20, 0, -33, 72, 0, -12, 9, 0, -9, 72, 0, -94, 0, 0, -38, -39, 0, 18, 48, 0, -45, -16, 0, 231, -6, 0, 51, 24, 0, 90, 74, 0, 45, 104, 0, 56, 35, 0, 111, 12, 0, -78, 41, 0, 114, -30, 0, 82, -39, 0, 0, -51, 0, 15, 42, 0, 88, -12, 0, 1, 54, 0, -112, 54, 0, 120, -64, 0, 25, 0, 0, 93, -33, 0, -80, -41, 0, 138, 89, 0, -36, 60, 0, 43, -20, 0, -15, 13, 0, -46, 7, 0, 57, 150, 0, 9, 11, 0, -19, -60, 0, 22, -48, 0, 31, -27, 0, 0, -15, 0, 3, -11, 0, -82, -81, 0, -15, -150, 0, 94, 10, 0, -60, 93, 0, -19, 0, 0, -32, -82, 0, 30, 120, 0, 13, -72, 0, 49, 73, 0, 3, -18, 0, -50, -50, 0, -13, -172, 0, -162, 67, 0, -74, -136, 0, 61, -63, 0, -6, 30, 0, -45, -6, 0, 0, 48, 0, 54, -68, 0, 12, -40, 0, 68, -15, 0, 120, 216, 0, 28, -10, 0, 6, 0, 0, 24, -9, 0, 102, 102, 0, 39, -69, 0, -85, -15, 0, -84, 219, 0, 2, -4, 0, -55, 30, 0, 2, -15, 0, -59, 70, 0, -90, 44, 0, 74, -30, 0, -1, 30, 0, 0, -35, 0, 67, 42, 0, -40, 65, 0, 57, -19, 0, -57, -69, 0, -52, -150, 0, 64, 0, 0, -29, 27, 0, 30, 50, 0, -95, 102, 0, -25, -84, 0, -39, -57, 0, -6, -6, 0, 10, -57, 0, 97, -47, 0, 60, 69, 0, -43, 65, 0, 32, -78, 0, 81, 30, 0, 0, 36, 0, 16, 141, 0, 27, -18, 0, 32, -28, 0, -30, 18, 0, -64, 45, 0, 9, 0, 0, 25, 53, 0, 75, 108, 0, 17, 0, 0, 10, -150, 0, -2, -44, 0, -105, 41, 0, -108, 36, 0, -6, 101, 0, -32, -60, 0, -20, -45, 0, 46, 47, 0, -35, -18, 0, 0, -26, 0, -72, 26, 0, -7, 109, 0, -15, 45, 0, -1, 81, 0, -9, 172, 0, -30, 0, 0, -45, -104, 0, -66, 10, 0, -18, -120, 0, -25, -99, 0, 15, 48, 0, 1, -150, 0, -40, -40, 0, -11, 30, 0, -72, -96, 0, 83, 36, 0, 23, 222, 0, 57, -1, 0, 0, -75, 0, 6, -83, 0, -33, -54, 0, 96, -192, 0, 35, 32, 0, -177, -21, 0, 10, 0, 0, 74, -22, 0, 18, -129, 0, -119, -55, 0, 35, -15, 0, -59, 9, 0, 47, -27, 0, 24, -66, 0, 18, 42, 0, -142, 8, 0, 4, -99, 0, 45, 45, 0, 12, 93, 0, 0, -90, 0, -70, 27, 0, 16, 69, 0, 96, 60, 0, 65, 26, 0, 48, -20, 0, 71, 0, 0, 87, 15, 0, -175, 106, 0, 117, 156, 0, -8, -70, 0, -51, 37, 0, -132, -35, 0, 12, -40, 0, 105, 12, 0, -102, 58, 0, 39, 99, 0, 40, 50, 0, 0, -50, 0, 0, 72, 0, -45, 72, 0, 33, -66, 0, -21, 80, 0, -32, 78, 0, 151, 0, 0, 95, 0, 0, -45, -17, 0, 30, -36, 0, -13, 162, 0, 25, 42, 0, -50, -9, 0, -71, -46, 0, -36, 50, 0, -120, -15, 0, -13, 0, 0, 21, -117, 0, 80, 60, 0, 12, 15, 0, 0, 20, 0, -85, 100, 0, 181, 14, 0, -78, 0, 0, -42, -36, 0, 19, -96, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, -1], [0, 0], [-1, 1], [0, -1], [0, 0], [0, -3], [-1, 2], [0, 0], [1, 1], [3, -4], [0, 0], [-2, 0], [3, 3], [0, 0], [0, -3], [1, -5], [0, 0], [0, 0], [-1, 0], [0, 0], [4, 1], [-5, 2], [0, 0], [-4, 1], [0, 2], [0, 0], [-3, 0], [-7, 4], [0, 0], [-2, 6], [5, -1], [0, 0], [5, 4], [3, 3], [0, 0], [-1, 0], [0, 0], [0, 0], [-2, -1], [-3, 6], [0, 0], [7, -9], [-7, 3], [0, 0], [-2, 3], [3, 3], [0, 0], [2, 9], [-1, 3], [0, 0], [2, -2], [1, 7], [0, 0], [4, 1], [-6, -3], [0, 0], [-4, 3], [-10, 5], [0, 0], [5, 4], [-6, -4], [0, 0], [1, 2], [0, 2], [0, 0], [1, -3], [-6, 1], [0, 0], [-3, -6], [4, 7], [0, 0], [-8, 0], [0, 1], [0, 0], [0, 0], [12, 3], [0, 0], [-3, 6], [3, 3], [0, 0], [-6, -3], [-4, -8], [0, 0], [5, 4], [9, 2], [0, 0], [-11, 2], [5, 1], [0, 0], [0, 6], [7, -5], [0, 0], [-3, -6], [0, 0], [0, 0], [3, -9], [-9, -11], [0, 0], [5, -4]]}