# Stored data for newform 2890.2.a.u, downloaded from the LMFDB on 12 September 2025. {"Nk2": 11560, "analytic_conductor": 23.07676618415003, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [17, 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": [2890, 1, [1157, 581], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-4, -1, 1]], [7, [-16, 2, 1]], [13, [2, -5, 1]]], "hecke_orbit": 21, "hecke_orbit_code": 90071992580967242, "hecke_ring_generator_nbound": 3, "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": false, "label": "2890.2.a.u", "level": 2890, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 17], "level_radical": 170, "minimal_twist": "170.2.a.f", "nf_label": "2.2.17.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+\\beta q^{3}+q^{4}-q^{5}+\\beta q^{6}-2\\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": "2890.2.a", "trace_display": [2, 1, -2, -2], "trace_hash": 2050420848433999422, "trace_moments": [{"__RealLiteral__": 0, "data": "0.037", "prec": 17}, {"__RealLiteral__": 0, "data": "1.946", "prec": 17}, {"__RealLiteral__": 0, "data": "0.349", "prec": 17}, {"__RealLiteral__": 0, "data": "9.561", "prec": 17}, {"__RealLiteral__": 0, "data": "3.560", "prec": 17}, {"__RealLiteral__": 0, "data": "67.103", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, "traces": [0, 2, 2, 1, 2, -2, 1, -2, 2, 3, -2, 8, 1, 5, -2, -1, 2, 0, 3, -1, -2, -18, 8, 2, 1, 2, 5, 7, -2, -1, -1, 9, 2, 4, 0, 2, 3, 6, -1, 11, -2, 8, -18, 6, 8, -3, 2, 9, 1, 22, 2, 0, 5, 3, 7, -8, -2, -9, -1, -13, -1, -19, 9, -20, 2, -5, 4, -10, 0, 18, 2, 21, 3, -7, 6, 1, -1, -8, 11, 0, -2, -14, 8, 4, -18, 0, 6, 25, 8, -7, -3, -22, 2, 13, 9, 1, 1, -9, 22, 12, 2, 4, 0, 16, 5, 18, 3, 0, 7, 13, -8, 20, -2, 15, -9, -2, -1, 16, -13, 0, -1, 10, -19, -30, 9, -2, -20, 23, 2, -14, -5, 6, 4, 18, -10, -7, 0, 20, 18, 0, 2, 13, 21, 20, 3, 1, -7, 45, 6, -2, 1, -6, -1, 0, -8, -9, 11, 4, 0, -7, -2, -36, -14, -12, 8, -4, 4, -2, -18, -5, 0, -10, 6, 36, 25, -2, 8, 19, -7, -16, -3, -16, -22, -1, 2, -6, 13, 0, 9, 10, 1, 0, 1, 32, -9, -11, 22, -2, 12, -25, 2, -22, 4, -50, 0, -8, 16, 20, 5, -4, 18, -18, 3, -15, 0, -6, 7, -26, 13, 39, -8, 0, 20, -5, -2, 3, 15, -45, -9, 4, -2, -72, -1, -25, 16, -9, -13, 0, 0, -22, -1, -8, 10, -28, -19, -22, -30, -11, 9, -32, -2, -8, -20, 8, 23, 0, 2, 4, -14, -40, -5, 24, 6, 29, 4, -3, 18, -29, -10, -15, -7, 32, 0, -62, 20, 8, 18, 48, 0, 22, 2, 29, 13, -29, 21, 9, 20, 60, 3, 0, 1, 21, -7, -29, 45, 13, 6, 28, -2, 22, 1, 28, -6, -66, -1, 19, 0, -52, -8, 8, -9, -16, 11, 12, 4, 20, 0, -22, -7, -4, -2, -68, -36, 0, -14, 5, -12, 15, 8, -26, -4, 9, 4, 26, -2, 10, -18, 33, -5, -35, 0, 36, -10, -76, 6, -18, 36, 17, 25, -22, -2, 9, 8, 12, 19, -21, -7, 0, -16, -30, -3, -29, -16, 5, -22, 7, -1, 26, 2, -22, -6, 14, 13, 0, 0, -1, 9, 23, 10, 12, 1, 3, 0, -13, 1, 8, 32, -8, -9, 2, -11, 0, 22, -14, -2, 0, 12, -18, -25, 26, 2, -46, -22, 31, 4, 14, -50, 24, 0, -17, -8, 10, 16, -38, 20, -4, 5, -68, -4, 42, 18, -26, -18, 22, 3, 0, -15, 2, 0, 44, -6, 8, 7, 28, -26, -25, 13, -18, 39, 0, -8, 67, 0, 56, 20, 7, -5, 16, -2, 42, 3, 32, 15, -54, -45, 22, -9, -16, 4, 0, -2, -28, -72, 1, -1, -13, -25, -32, 16, 44, -9, 70, -13, 24, 0, -1, 0, -4, -22, -73, -1, 32, -8, -52, 10, 9, -28, -10, -19, -40, -22, 1, -30, 0, -11, -12, 9, 30, -32, 10, -2, -18, -8, 4, -20, -4, 8, 40, 23, 42, 0, -78, 2, 5, 4, -16, -14, 36, -40, 18, -5, -46, 24, 22, 6, -18, 29, 0, 4, -10, -3, 6, 18, -14, -29, 0, -10, 60, -15, 88, -7, -60, 32, -42, 0, -13, -62, -63, 20, -20, 8, -25, 18, 0, 48, -20, 0, 69, 22, -2, 2, 0, 29, -34, 13, -15, -29, 14, 21, 21, 9, -42, 20, 0, 60, 2, 3, 14, 0, 50, 1, 64, 21, 12, -7, -16, -29, -22, 45, -13, 13, -52, 6, 0, 28, 0, -2, -21, 22, 22, 1, -26, 28, -32, -6, -10, -66, 30, -1, -42, 19, 31, 0, -19, -52, 30, -8, -25, 8, -10, -9, -10, -16, 58, 11, 2, 12, -36, 4, 0, 20, -80, 0, 42, -22, -23, -7, 89, -4, 6, -2, 32, -68, -48, -36, 14, 0, 11, -14, -52, 5, -98, -12, 44, 15, -6, 8, 32, -26, -55, -4, -22, 9, 0, 4, -18, 26, 50, -2, 23, 10, -76, -18, 21, 33, 7, -5, 32, -35, -42, 0, 3, 36, 29, -10, -20, -76, -66, 6, -1, -18, -36, 36, -80, 17, 0, 25, 0, -22, 13, -2, 2, 9, -20, 8, -13, 12, 132, 19, -5, -21, 0, -7, 26, 0, -20, -16, -62, -30, -51, -3, -16, -29, -38, -16, -1, 5, 89, -22, -6, 7, 0, -1, -12, 26, -45, 2, -40, -22, 5, -6, -31, 14, 34, 13, 2, 0, -28, 0, 136, -1, 3, 9, -4, 23, 6, 10, 9, 12, 72, 1, 8, 3, -30, 0, 0, -13, -7, 1, 27, 8, 2, 32, -8, -8, 9, -9, -88, 2, 30, -11, 84, 0, -29, 22, -4, -14, -15, -2, 57, 0, 70, 12, -39, -18, 7, -25, 4, 26, 0, 2, -36, -46, -28, -22, 36, 31, 35, 4, 28, 14, 18, -50, 16, 24, 12, 0, 14, -17, -84, -8, -23, 10, -26, 16, 4, -38, 32, 20, 6, -4, -10, 5, 0, -68, 2, -4, 23, 42, -33, 18, 19, -26, 23, -18, 5, 22, -10, 3, 11, 0, 40, -15, -80, 2, 10, 0, -49, 44, -1, -6, -4, 8, 56, 7, -36, 28, 0, -26, 0, -25, -42, 13, 12, -18, 2, 39, 62, 0, -23, -8, 8, 67, 30, 0, -19, 56, 6, 20, -6, 7, -56, -5, -13, 16, 16, -2, 62, 42, 21, 3, 0, 32, -20, 15, 16, -54, -33, -45, -62, 22, 0, -9, 16, -16, 1, 4, 28, 0, -34, -2, 8, -28, 27, -72, 6, 1, 24, -1, 20, -13, -45, -25, -8, -32, 0, 16, -14, 44, 6, -9, 59, 70, -60, -13, -10, 24, -85, 0, 25, -1, -96, 0, 70, -4, 0, -22, 100, -73, -20, -1, -13, 32, -68, -8, -32, -52, 72, 10, 0, 9, 19, -28, 136, -10, 11, -19, -46, -40, -28, -22, 28, 1, 66, -30, 2, 0, -98, -11, -28, -12, -7, 9, 81, 30, 25, -32, -40, 10, 4, -2, -88, -18, 0, -8, 22, 4, 7, -20, 110, -4, -9, 8, 20, 40, 50, 23, -20, 42, -21, 0, -40, -78, 52, 2, 8, 5, 0, 4, -140, -16, 85, -14, -72, 36, -20, -40, 0, 18, -58, -5, 17, -46, -32, 24, 4, 22, -28, 6, 10, -18, -6, 29, -35, 0, 18, 4, 108, -10, 74, -3, -33, 6, 5, 18, 15, -14, -36, -29, 10, 0, 0, -10, 48, 60, 6, -15, 2, 88, -24, -7, 26, -60, -6, 32, 26, -42, -31, 0, 15, -13, -14, -62, 34, -63, -39, 20, -10, -20, -140, 8, 98, -25, 16, 18, 0, 0, 62, 48, -22, -20, 16, 0, -10, 69, 5, 22, 2, -2, -102, 2, -19, 0, -38, 29, -3, -34, 90, 13, 38, -15, 71, -29, 64, 14, 45, 21, 40, 21, 0, 9, 80, -42, 26, 20, -4, 0, 44, 60, -49, 2, -12, 3, -40, 14, 72, 0, -43, 50, 1, 1, 38, 64, -69, 21, 25, 12, 52, -7, 36, -16, -57, -29, 0, -22, 9, 45, 0, -13, -8, 13, -22, -52, -80, 6, 0, 0, 19, 28, -106, 0, -60, -2, -84, -21, 22, 22, 44, 22, 52, 1, -54, -26, 28, 28, 8, -32, 0, -6, 75, -10, -36, -66, 30, 30, 28, -1, 13, -42, -14, 19, 80, 31, 27, 0, 22, -19, 17, -52, -44, 30, -3, -8, 30, -25, 11, 8, -28, -10, 66, -9, 0, -10, 60, -16, 32, 58, -54, 11, 35, 2, -68, 12, -120, -36, 8, 4, 38, 0, 88, 20, 3, -80, 72, 0, -8, 42, 84, -22, 23, -23, 2, -7, 22, 89, 0, -4, 16, 6, 16, -2, 154, 32, 8, -68, -4, -48, 64, -36, 82, 14, -71, 0, 72, 11, 40, -14, 39, -52, -54, 5, 34, -98, 64, -12, -24, 44, -62, 15, 0, -6, -26, 8, -58, 32, -29, -26, 136, -55, -19, -4, 14, -22, 43, 9, 3, 0, 35, 4, 28, -18, -48, 26, 10, 50, 29, -2, 0, 23, 40, 10, 14, -76, 0, -18, 15, 21, 4, 33, 15, 7, -100, -5, -120, 32, -32, -35, 38, -42, -60, 0, 75, 3, 21, 36, 62, 29, 22, -10, -22, -20, -42, -76, -39, -66, -8, 6, 0, -1, 104, -18, 40, -36, 54, 36, -48, -80, -39, 17, -59, 0, -68, 25, 42, 0, -22, -22, 92, 13, -85, -2, -84, 2, -2, 9, -29, -20, 124, 8, 4, -13, 0, 12, 74, 132, 29, 19, 41, -5, -56, -21, 91, 0, 82, -7, -9, 26, -106, 0, -58, -20, 19, -16, -29, -62, -60, -30, -45, -51, 93, -3, 24, -16, 84, -29, 0, -38, 1, -16, -88, -1, 0, 5, -59, 89, -21, -22, 49, -6, -34, 7, -90, 0, 72, -1, 29, -12, -52, 26, -5, -45, -110, 2, 9, -40, -13, -22, -84, 5, 0, -6, 7, -31, 6, 14, -28, 34, -40, 13, 30, 2, -138, 0, -70, -28, -22, 0, 22, 136, 10, -1, 0, 3, -20, 9, -28, -4, 80, 23, -100, 6, 32, 10, 0, 9, 66, 12, -44, 72, 133, 1, 35, 8, 87, 3, -19, -30, 4, 0, 0, 0, -8, -13, -22, -7, 52, 1, -27, 27, 7, 8, -44, 2, -32, 32, -8, -8, 0, -8, -54, 9, 52, -9, 29, -88, 16, 2, 54, 30, -57, -11, -46, 84, -108, 0, -12, -29, -22, 22, 130, -4, 2, -14, 25, -15, -20, -2, 32, 57, -12, 0, 0, 70, 31, 12, 22, -39, 29, -18, -6, 7, -16, -25, -71, 4, 4, 26, 45, 0, -58, 2, 78, -36, 132, -46, 68, -28, 3, -22, -40, 36, 44, 31, 1, 35, 0, 4, 180, 28, -3, 14, -25, 18, -30, -50, -5, 16, -24, 24, -58, 12, -26, 0, -30, 14, -15, -17, 36, -84, -8, -8, -23, -23, 5, 10, 26, -26, -75, 16, 0, 4, 49, -38, -21, 32, -9, 20, 60, 6, 0, -4, -24, -10, 6, 5, -26, 0, -56, -68, 64, 2, 43, -4, 124, 23, -10, 42, -18, -33, 78, 18, 86, 19, 0, -26, -33, 23, 76, -18, 34, 5, 29, 22, -106, -10, 35, 3, 27, 11, -40, 0, 96, 40, -2, -15, -36, -80, -49, 2, 20, 10, 83, 0, -38, -49, 76, 44, 0, -1, 0, -6, -91, -4, 55, 8, 18, 56, 16, 7, 62, -36, -44, 28, 32, 0, -17, -26, 82, 0, 44, -25, -15, -42, 32, 13, 22, 12, -4, -18, -28, 2, 0, 39, -10, 62, -9, 0, 8, -23, -36, -8, 6, 8, 92, 67, -12, 30, -49, 0, 35, -19, -144, 56, -54, 6, 21, 20, -48, -6, -34, 7, 50, -56, -3, -5, 0, -13, -44, 16, 26, 16, -46, -2, -48, 62, 30, 42, -74, 21, -4, 3, 69, 0, 72, 32, 29, -20, -68, 15, -18, 16, 55, -54, 134, -33, -5, -45, 0, -62, 0, 22, 134, 0, -56, -9, -7, 16, -92, -16, -33, 1, -79, 4, 75, 28, -26, 0, -8, -34, -69, -2, -114, 8, -21, -28, 22, 27, -42, -72, -34, 6, 13, 1, 0, 24, -14, -1, -22, 20, -20, -13, 114, -45, -14, -25, 0, -8, 80, -32, 114, 0, 6, 16, -17, -14, 1, 44, -54, 6, -88, -9, -40, 59, -70, 70, -23, -60, 0, -13, 9, -10, -77, 24, -40, -85, -12, 0, -32, 25, 24, -1, 95, -96, 144, 0, -3, 70, 89, -4, -64, 0, 223, -22, 14, 100, 13, -73, 99, -20, 66, -1, 0, -13, 50, 32, -8, -68, 2, -8, -92, -32, -8, -52, 24, 72, 8, 10, 12, 0, 20, 9, 31, 19, -46, -28, -2, 136, 76, -10, 29, 11, -34, -19, -124, -46, 0, -40, -8, -28, 90, -22, -8, 28, -66, 1, 14, 66, -46, -30, -64, 2, -67, 0, -7, -98, 0, -11, -87, -28, 60, -12, -22, -7, 108, 9, 18, 81, -18, 30, 0, 25, -64, -32, 102, -40, -26, 10, -97, 4, -29, -2, 42, -88, -1, -18, 46, 0, 18, -8, -48, 22, -58, 4, -4, 7, -31, -20, -12, 110, -117, -4, 10, -9, 0, 8, -14, 20, -42, 40, -63, 50, 118, 23, 68, -20, -24, 42, 30, -21, 50, 0, 78, -40, -42, -78, 17, 52, -58, 2, 125, 8, 46, 5, 51, 0, -10, 4, 0, -140, -87, -16, -62, 85, 8, -14, 38, -72, -9, 36, -24, -20, -15, -40, 16, 0, 4, 18, -62, -58, 40, -5, 66, 17, 12, -46, 68, -32, 43, 24, 21, 4, 0, 22, -124, -28, -42, 6, -12, 10, -91, -18, 0, -6, 188, 29, 26, -35, -2, 0, -44, 18, 0, 4, 160, 108, -22, -10, 131, 74, -64, -3, 100, -33, 128, 6, 0, 5, -147, 18, -23, 15, -44, -14, 0, -36, -2, -29, 83, 10, 98, 0, 18, 0, 40, -10, -44, 48, 35, 60, -16, 6, -84, -15, -61, 2, -8, 88, 17, -24, 0, -7, -37, 26, -144, -60, -28, -6, -8, 32, -46, 26, -22, -42, 46, -31, 25, 0, 16, 15, -40, -13, 53, -14, 12, -62, 18, 34, -55, -63, -100, -39, -12, 20, 0, -10, 0, -20, -35, -140, -74, 8, 69, 98, 79, -25, -67, 16, -32, 18, -45, 0, -88, 0, -40, 62, -56, 48, -91, -22, 192, -20, 32, 16, -42, 0, -7, -10, 0, 69, 34, 5, 42, 22, -200, 2, -16, -2, 56, -102, -48, 2, 48, -19, -30, 0, -42, -38, 136, 29, 90, -3, 64, -34, 95, 90, -32, 13, -40, 38, -12, -15, 0, 71, 11, -29, 54, 64, 0, 14, 56, 45, 183, 21, -68, 40, -22, 21, 80, 0, 26, 9, -64, 80, -98, -42, 16, 26, -48, 20, -134, -4, 0, 0, -99, 44, 0, 60, -52, -49, -5, 2, 5, -12, 133, 3, 28, -40, 5, 14, -45, 72, 58, 0, 6, -43, -1, 50, -162, 1, 98, 1, -72, 38, -132, 64, 13, -69, 28, 21, 0, 25, -128, 12, 132, 52, 32, -7, -2, 36, -66, -16, 20, -57, -60, -29, -44, 0, -78, -22, 7, 9, 33, 45, -74, 0, -70, -13, -56, -8, 18, 13, 137, -22, 0, -52, -24, -80, 86, 6, 16, 0, -56, 0, -50, 19, 1, 28, -112, -106, -79, 0, 18, -60, 30, -2, 4, -84, -104, -21, -94, 22, 70, 22, 134, 44, 73, 22, 0, 52, 92, 1, 126, -54, 1, -26, -32, 28, -104, 28, 156, 8, 38, -32, -3, 0, 52, -6, 80, 75, -154, -10, 20, -36, -69, -66, -9, 30, -122, 30, -34, 28, 0, -1, -42, 13, 10, -42, 80, -14, 48, 19, 154, 80, 56, 31, 40, 27, 116, 0, 0, 22, -10, -19, -20, 17, -1, -52, -26, -44, 48, 30, -136, -3, 99, -8, 0, 30, 26, -25, 38, 11, -148, 8, -2, -28, 12, -10, 108, 66, -64, -9, -52, 0, 0, -10, -30, 60, -48, -16, 14, 32, 5, 58, 38, -54, -10, 11, -180, 35, 0, 2, -110, -68, 21, 12, 18, -120, 30, -36, 114, 8, -63, 4, -4, 38, -4, 0, -93, 88, 16, 20, 36, 3, -16, -80, 4, 72, 12, 0, 52, -8, -71, 42, 0, 84, -40, -22, -90, 23, 10, -23, -90, 2, -50, -7, -42, 22, -18, 89, -4, 0, -56, -4, 88, 16, 78, 6, 50, 16, -74, -2, -56, 154, -100, 32, -5, 8, 0, -68, -196, -4, 69, -48, -16, 64, 16, -36, -145, 82, 112, 14, -73, -71, 56, 0, -36, 72, -71, 11, -40, 40, 11, -14, 62, 39, -18, -52, -1, -54, -70, 5, 0, 34, -10, -98, 46, 64, 0, -12, 77, -24, 204, 44, -106, -62, -22, 15, 136, 0, -57, -6, -91, -26, -74, 8, 18, -58, 12, 32, -88, -29, 116, -26, -42, 136, 0, -55, -52, -19, -142, -4, 68, 14, 106, -22, 10, 43, -78, 9, 66, 3, -32, 0, -80, 35, -6, 4, -71, 28, -56, -18, -218, -48, -102, 26, 14, 10, -190, 50, 0, 29, -14, -2, -112, 0, 0, 23, -52, 40, -49, 10, 98, 14, 59, -76, -60, 0, -12, -18, -50, 15, 84, 21, 86, 4, -88, 33, 121, 15, -137, 7, 64, -100, 0, -5, 60, -120, -152, 32, 8, -32, 82, -35, -48, 38, 42, -42, -44, -60, 68, 0, -25, 75, -104, 3, 13, 21, 82, 36, -28, 62, 30, 29, 0, 22, 63, -10, 0, -22, -128, -20, 20, -42, 6, -76, 20, -39, 28, -66, 40, -8, -20, 6, -20, 0, 25, -1, -34, 104, -57, -18, -32, 40, -44, -36, 0, 54, 43, 36, 39, -48, 0, -80, -33, -39, 20, 17, -55, -59, 120, 0, 56, -68, 10, 25, -69, 42, 214, 0, 14, -22, -4, -22, -133, 92, 2, 13, 53, -85, -24, -2, -60, -84, 54, 2, 0, -2, -56, 9, -93, -29, -160, -20, 81, 124, 34, 8, 18, 4, 22, -13, -150, 0, 21, 12, 15, 74, 16, 132, 4, 29, -16, 19, 17, 41, -14, -5, 113, -56, 0, -21, -85, 91, -14, 0, -21, 82, 89, -7, -160, -9, -52, 26, -118, -106, 42, 0, 64, -58, 52, -20, 95, 19, -34, -16, 0, -29, -77, -62, 54, -60, 96, -30, 0, -45, -2, -51, -180, 93, -8, -3, 4, 24, 70, -16, -14, 84, 78, -29, 68, 0, -41, -38, 116, 1, -50, -16, -23, -88, 13, -1, -32, 0, 151, 5, -64, -59, 0, 89, 64, -21, 186, -22, 35, 49, -12, -6, -122, -34, 136, 7, 6, -90, 0, 0, 16, 72, 18, -1, -206, 29, -40, -12, -76, -52, 22, 26, -116, -5, -95, -45, 0, -110, 37, 2, 13, 9, -144, -40, 50, -13, -87, -22, 33, -84, 52, 5, 87, 0, -60, -6, -124, 7, -68, -31, 0, 6, 20, 14, 148, -28, -105, 34, -131, -40, 0, 13, -58, 30, 90, 2, 128, -138, -70, 0, 21, -70, -8, -28, -175, -22, 14, 0, -198, 22, -22, 136, -42, 10, -8, -1], "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], [1, 0], [0, 1], [1, 0], [-1, 0], [0, 1], [0, -2], [1, 0], [1, 1], [-1, 0], [4, 0], [0, 1], [2, 1], [0, -2], [0, -1], [1, 0], [0, 0], [1, 1], [0, -1], [-1, 0], [-8, -2], [4, 0], [0, 2], [0, 1], [1, 0], [2, 1], [4, -1], [0, -2], [-2, 3], [0, -1], [4, 1], [1, 0], [0, 4], [0, 0], [0, 2], [1, 1], [2, 2], [0, -1], [4, 3], [-1, 0], [6, -4], [-8, -2], [4, -2], [4, 0], [-1, -1], [0, 2], [4, 1], [0, 1], [9, 4], [1, 0], [0, 0], [2, 1], [2, -1], [4, -1], [-4, 0], [0, -2], [-4, -1], [-2, 3], [-8, 3], [0, -1], [-10, 1], [4, 1], [-8, -4], [1, 0], [-2, -1], [0, 4], [-4, -2], [0, 0], [8, 2], [0, 2], [12, -3], [1, 1], [-6, 5], [2, 2], [0, 1], [0, -1], [0, -8], [4, 3], [0, 0], [-1, 0], [-7, 0], [6, -4], [4, -4], [-8, -2], [0, 0], [4, -2], [12, 1], [4, 0], [-2, -3], [-1, -1], [-8, -6], [0, 2], [4, 5], [4, 1], [0, 1], [0, 1], [-6, 3], [9, 4], [4, 4], [1, 0]]}