# Stored data for newform 3381.2.a.p, downloaded from the LMFDB on 25 April 2024.
{"label": "3381.2.a.p", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444115253, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 555944436041250804, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 1, 1]], [5, [3, -5, 1]], [11, [5, 1]], [13, [-3, 1, 1]]], "qexp_display": "q-\\beta q^{2}-q^{3}+(1+\\beta )q^{4}+(3-\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 1, "level_radical": 483, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 23], "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.257", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.506", "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], [23, -1]], "trace_display": [-1, -2, 5, 0], "traces": [0, 2, -1, -2, 3, 5, 1, 0, -6, 2, 4, -10, -3, -1, 0, -5, -3, 4, -1, -4, 1, 0, 5, 2, 6, 9, 7, -2, 0, -2, -4, -6, 7, 10, -15, 0, 3, -18, -11, 1, -15, 10, 0, -7, -15, 5, -1, 10, 3, 0, 28, -4, -8, -7, 1, -25, 0, 4, -25, 3, -1, 13, 3, 0, -4, 4, -5, -13, 19, -2, 0, -9, -6, -10, 9, -9, 7, 0, -7, -2, -14, 2, -31, -4, 0, -3, -29, 2, 30, -11, 4, 0, 3, 6, -18, -23, -7, 28, 0, -10, -19, -15, 15, 8, 3, 0, 36, -3, -3, 3, -20, 18, 0, 7, 11, 5, 23, -1, 18, 0, 15, 28, 13, -10, -9, 30, 0, 7, 27, 7, 11, -28, 15, 0, 26, -5, -12, 12, 1, -21, 0, -10, -15, 5, -3, -31, -21, 0, -27, 10, -28, 26, 12, 4, 0, -15, 8, -14, 1, 7, 11, 0, -1, 5, 41, 25, 15, 16, 0, -19, -18, -4, 22, 22, 25, 0, 15, -3, 25, -9, 1, -8, 0, -13, -6, -45, -3, -20, 28, 0, -34, -2, 4, -18, -27, -4, 0, -25, 5, -7, -27, 13, 14, 0, -19, -1, -4, 2, -5, 20, 0, -26, -43, 9, -31, -50, 6, 0, 18, 10, -5, -15, -9, -29, 0, 9, -10, 1, -7, 13, 4, 0, 6, 11, 7, 12, -15, 2, 0, -39, 14, 12, -14, -2, 0, 0, 31, -11, 18, 4, 63, -26, 0, -10, 3, 3, -25, -18, 29, 0, -7, -2, 1, 28, -30, 15, 0, 11, -39, 9, -4, 0, 7, 0, -45, -45, -3, -21, 30, -6, 0, 34, 18, -31, 6, 23, -35, 0, 7, 0, -56, -28, 11, -8, 0, 27, 54, 10, -18, -1, 19, 0, -26, 15, 19, 52, -15, -22, 0, -8, -12, 1, -3, 12, -32, 0, -3, -43, -36, 10, 29, 3, 0, 18, 3, 28, 56, -3, -30, 0, 20, -8, -19, -18, 31, -13, 0, -35, 3, -7, 15, 30, -11, 0, 21, -5, -37, -14, -23, 31, 0, 1, -35, 22, -18, -42, -36, 0, -2, -17, -15, -4, -35, -28, 0, -51, -13, -25, -3, 10, -36, 0, 9, 18, 75, -30, -30, -25, 0, -16, 11, -7, 14, 12, -27, 0, -56, -7, 55, -30, -11, 4, 0, 28, -7, -5, -15, 62, 36, 0, -46, 2, -26, 3, -29, 5, 0, 90, 12, -12, -32, -12, 12, 0, -1, 3, -10, 21, 55, -5, 0, 23, 65, 10, 21, -47, 15, 0, 28, -5, -79, 15, 3, 6, 0, 31, -15, -4, 21, -26, 75, 0, 27, -8, 27, -8, 34, -10, 0, -39, 28, -50, 17, -26, -72, 0, -12, -47, 26, -4, 1, 17, 0, -16, 29, 15, 66, -40, -8, 0, -6, 14, -9, 35, -1, -83, 0, -7, 0, 22, -11, 9, 59, 0, 42, 57, 1, 20, -39, -5, 0, 11, -41, 48, -1, -25, 9, 0, -15, 53, -33, -16, 52, -3, 0, -31, 5, 19, 4, 2, 18, 0, -22, 4, 74, 20, -22, -50, 0, -22, -12, 0, -25, -28, -29, 0, -1, -12, -15, 2, 51, 3, 0, -31, -25, -40, 39, 9, 15, 0, -1, 10, 13, 8, 27, 27, 0, 17, 57, 13, -140, 56, 6, 0, 17, 45, -51, -26, 3, -29, 0, 20, -56, 47, -28, 11, 22, 0, 27, 36, 34, 6, 40, 2, 0, 9, -4, 44, -52, 18, 25, 0, 27, 35, 30, 4, -100, 17, 0, 12, 45, 25, 27, -38, -5, 0, 28, 7, 7, -61, 27, -35, 0, -13, 52, 70, -14, 67, -1, 0, 65, -18, 19, -16, 37, 1, 0, -3, 4, -45, -3, -2, -33, 0, 5, 108, 20, -20, 18, -36, 0, -60, 6, 26, 54, 24, 43, 0, 125, -9, 48, 33, 31, 3, 0, 50, -9, 7, -6, -15, -1, 0, -51, 43, -18, -83, 11, -10, 0, 42, 5, -20, -74, 15, 12, 0, 9, -2, -15, 29, 13, -65, 0, -10, 11, -9, -22, -13, 10, 0, 9, -1, -15, 26, 7, -9, 0, -13, 43, 36, -4, 45, 59, 0, -71, -33, -6, 72, 4, -11, 0, 3, -7, 36, 20, -12, -11, 0, 15, -55, -57, -2, 33, -6, 0, -20, -7, 39, 106, -14, -14, 0, 54, -12, 27, -139, 14, 0, 0, 2, -72, 51, 0, 46, 45, 0, 7, 65, -31, -58, -9, 11, 0, 43, -18, 12, -35, -4, -95, 0, -63, 21, -2, 26, 19, 52, 0, -50, 60, 10, 69, -24, -3, 0, -16, -3, 33, 18, 25, -10, 0, 18, 38, -6, -29, -27, -84, 0, 93, 32, 7, 45, -15, 2, 0, -74, -1, -3, -18, -28, -4, 0, 30, 13, -18, -15, -43, 42, 0, 46, -1, -11, 51, 50, 39, 0, -21, -9, 45, 5, 4, 28, 0, 0, -45, 71, -7, 79, 71, 0, 31, -46, 45, -5, -24, 45, 0, -9, 3, -4, 18, 21, 41, 0, -30, 79, -35, 6, 48, -73, 0, 48, -5, -34, -91, -54, -18, 0, -22, 31, 30, -18, -6, 66, 0, -23, 9, 50, 35, -72, 29, 0, 51, -62, -7, 29, -68, 0, 0, 10, 56, 26, -9, 28, -11, 0, -11, -44, 39, 8, 70, 66, 0, -55, -42, -27, 108, -23, -54, 0, 17, -10, -63, 6, 18, -29, 0, 1, 78, 6, -19, -79, 155, 0, -21, -59, 26, 45, 73, -15, 0, 2, -19, 20, -22, -52, -13, 0, 15, -28, -15, 22, 50, -15, 0, -81, 47, 8, 19, -41, 12, 0, -55, -1, 33, 15, 3, 38, 0, -12, 18, -56, 32, 10, -24, 0, 145, 16, 3, -21, -82, 43, 0, -63, 36, 8, -39, -10, -37, 0, -29, -44, -63, -3, -47, -110, 0, -4, -84, -18, 30, 81, -3, 0, 29, -28, -39, 1, -56, 55, 0, 3, 79, 24, 30, -82, -63, 0, -10, -7, -20, 53, -21, 8, 0, 15, 19, -36, -46, 18, -90, 0, -31, -33, -78, 13, 60, -51, 0, -39, -17, 35, -15, 21, -3, 0, -21, 7, -118, 27, -15, -40, 0, -30, 9, -85, 11, 1, -92, 0, 16, -45, -21, -6, 90, 5, 0, -13, 37, -40, -19, 14, 78, 0, 23, 115, -38, -31, 84, -30, 0, -7, 29, -1, 45, -13, 35, 0, -1, -22, -36, 25, 18, -89, 0, 42, 61, -140, 36, -71, -71, 0, 0, 18, 2, -194, -6, 17, 0, 15, 15, 10, 34, 4, -13, 0, 35, 33, -86, 28, 45, -33, 0, -51, 50, 51, -36, 51, 13, 0, 95, 25, 37, -18, 3, -18, 0, -10, -38, 47, 36, 75, 63, 0, -52, -53, -9, -96, 8, -18, 0, -45, -75, 66, 90, 30, -95, 0, 30, -3, 1, 25, -53, -40, 0, -69, 33, 16, 8, -65, -11, 0, -29, 7, -15, 65, -14, 54, 0, -12, 28, -64, 27, -81, -74, 0, 52, 25, 56, -65, 93, 7, 0, 25, -55, 99, -180, 30, 41, 0, 11, -42, 92, -4, -119, -20, 0, 15, 33, -28, -18, 18, 7, 0, -63, 5, 84, -29, 15, 94, 0, -62, -30, 57, -36, -117, -8, 0, 63, -15, 46, -41, 102, -2, 0, 95, 26, 21, -78, -3, 56, 0, 29, -34, -1, -5, -70, 12, 0, -7, -13, -90, 48, -69, -12, 0, -31, 12, -59, 0, 32, 0, 0, 12, -57, -34, -12, -47, -23, 0, 45, 32, 1, -35, 34, -3, 0, 137, 10, -23, 76, -21, -8, 0, -55, -26, 42, 5, 135, -46, 0, -27, -35, -23, 3, -25, -65, 0, -97, -10, 27, -30, -21, -13, 0, 47, -115, -76, -15, 82, -43, 0, 81, -19, -28, 20, 161, 5, 0, -29, 79, -36, 27, -15, 68, 0, -3, -46, -90, -6, 29, 69, 0, -18, -15, -31, -54, 96, 15, 0, -82, 4, 61, 14, -21, 83, 0, 26, -99, 75, -75, -7, 49, 0, 66, 131, -27, 26, -7, 8, 0, -30, -27, 21, -25, 8, -48, 0, -34, -4, -26, 10, -65, -4, 0, 42, 83, 39, -46, 57, -28, 0, 57, 50, 117, 13, -17, 3, 0, 26, 24, 63, 72, 42, 45, 0, 39, 36, 12, 88, -54, 47, 0, -28, -26, -150, 8, 4, -57, 0, -1, 15, -55, -17, -66, -46, 0, 72, 57, 16, -3, -31, -29, 0, -153, -15, 27, -35, -66, -4, 0, 40, 96, 13, 8, 46, 99, 0, -135, 17, 6, -34, 33, -14, 0, -71, 9, 18, 99, -35, 15, 0, 1, 28, -3, 83, 3, 70, 0, 25, -55, 7, 27, -50, 0, 0, -123, -22, 33, -52, 11, 140, 0, -9, -58, -52, -59, -45, 24, 0, -80, -126, -42, -14, -169, -57, 0, -30, -1, 9, 21, -20, -45, 0, 39, -124, -36, 5, -70, -10, 0, 7, -4, -11, -130, 111, 41, 0, 81, -48, 135, 40, 1, 109, 0, 25, -54, -35, -9, -18, -6, 0, 53, 40, 15, 4, 60, -53, 0, 86, 33, 4, -4, 16, 48, 0, -52, -60, -44, 3, 26, -56, 0, -61, -53, 31, -76, -90, -5, 0, 80, -19, 12, -46, -4, 156, 0, -2, 6, 105, -18, -9, -21, 0, -9, -29, 22, -123, -112, -4, 0, -13, -74, -118, 54, -20, 107, 0, 22, 84, -84, 50, -29, -62, 0, -30, -123, 22, -29, 37, 12, 0, 75, 0, 19, 56, 25, -28, 0, 28, -106, 72, 29, -14, 112, 0, 75, -18, 1, 12, -1, 12, 0, -68, 15, -75, 26, -2, 80, 0, -51, 63, 21, -3, -86, 155, 0, -18, -114, 31, 177, -84, 25, 0, -49, 40, 105, 94, -39, 6, 0, -9, 24, 84, -15, 45, 16, 0, -87, 50, 1, -2, -1, -10, 0, 63, -13, -68, 135, -8, 127, 0, -27, -9, 71, -27, -83, 41, 0, -50, 3, -17, 10, 21, -57, 0, -30, -13, -12, 82, 140, 3, 0, -56, 24, -98, -6, -100, -115, 0, -15, -130, -17, -41, -33, -45, 0, 44, 51, 11, 110, 26, -60, 0, -3, 39, -53, 29, 43, -10, 0, 72, 28, -20, 28, -94, 56, 0, 78, -47, -51, -17, 28, 86, 0, -11, -57, 85, -22, 18, -77, 0, 9, 1, -27, 75, -124, -36, 0, -52, -34, -81, 37, -6, -116, 0, -40, -43, 62, -2, 150, 26, 0, -78, -36, -9, -60, 70, 4, 0, -8, -44, 74, 47, 52, -113, 0, -18, -5, -90, -25, 28, -65, 0, -24, 97, -27, 24, 7, -35, 0, 16, -30, -9, -4, -4, -65, 0, 100, 54, -55, -17, -72, 95, 0, 55, -5, -12, 45, -91, -45, 0, -116, -25, -73, -138, -27, -24, 0, 38, -25, -45, 5, 116, 87, 0, -42, 134, -28, 76, -31, -7, 0, -25, -7, 55, -117, 61, 75, 0, -27, -30, 150, 35, -205, 42, 0, 30, -4, 13, -94, 16, -52, 0, 88, -70, -3, -2, 14, 59, 0, -67, 90, 34, 1, -175, -75, 0, -25, -9, -65, 73, -39, 18, 0, -30, -19, -80, 1, 16, -14, 0, -37, -30, -33, -1, -12, 12, 0, 101, -252, 3, -63, -33, -4, 0, -152, 45, 92, 95, 3, -84, 0, 2, -33, 19, 33, 21, -73, 0, 90, 30, -5, 102, 33, -108, 0, 52, -20, -99, -36, 20, -76, 0, -18, -56, -31, 36, -9, -12, 0, -39, -110, 60, 70, 12, -6, 0, -9, -26, -1, 31, -54, -110, 0, -24, 103, 83, -43, -4, 22, 0, 117, 93, -125, 69, 59, 9, 0, 17, -48, 27, 22, -33, 72, 0, -31, 102, -36, -3, -166, -6, 0, -12, -154, -50, -42, -18, 9, 0, 27, -7, -21, -65, 6, 3, 0, 15, -9, -110, 1, -16, 26, 0, -111, -3, 51, -16, -125, -43, 0, 63, 18, -26, -68, 83, -51, 0, -11, 45, -89, 10, 111, -83, 0, -9, 33, -42, -29, 58, -5, 0, -59, 20, 12, 168, 74, -22, 0, -15, 51, 40, -12, 7, -47, 0, 99, 96, -9, -54, -123, 2, 0, -13, 15, 57, 36, -29, 78, 0, -13, -100, -63, 65, 6, -12, 0, 76, 26, 10, -14, 30, -11, 0, 30, 9, 35, -55, 22, 2, 0, 13, -17, 71, -10, 225, 120, 0, 45, -98, -9, -32, -6, 1, 0, 35, 15, -11, -45, -26, 88, 0, -7, 69, -7, 9, 54, 56, 0, 87, 4, 13, 159, 42, -43, 0, -101, -36, -140, 32, 4, -45, 0, -45, -39, 47, -59, 39, 20, 0, 1, -17, 71, -100, -78, 33, 0, 52, 6, 36, 170, -72, 10, 0, -4, 33, 55, 11, -37, -34, 0, 10, -55, -3, -84, 64, 7, 0, -57, -36, 52, 38, -20, -14, 0, 12, 3, 114, 11, 56, -45, 0, -58, 90, -15, -96, 12, 55, 0, 30, 57, -8, -92, 2, 135, 0, -33, -27, 94, 6, 31, 5, 0, -60, -65, 20, 225, -1, 7, 0, -163, -39, -27, 138, -106, 96, 0, 14, -27, 1, 14, -41, -18, 0, -24, -50, -54, 125, 0, 12, 0, 31, -27, -165, -62, 139, 93, 0, -14, 62, -18, 0, -81, -27, 0, -23, -20, -2, -33, 35, 72, 0, 21, -51, -19, -39, 0, 16, 0, -46, 135, 27, -45, -81, 19, 0, 87, 2, -7, -18, 9, -65, 0, -70, 31, 84, 63, 58, -121, 0, 9, -88, -70, -11, 12, 48, 0, -30, 26, -43, -19, 28, 18, 0, 74, -12, -37, -32, 35, 25, 0, 4, -36, -69, 95, -39, -59, 0, -102, -37, 63, 82, 142, -21, 0, 5, 2, -117, -148, -26, 10, 0, -19, 30, 93, -52, 20, -4, 0, -58, -141, 50, -12, -42, -60, 0, 28, -10, 156, -138, -69, -67, 0, 24, 35, -163, 3, -21, 25, 0, 91, 2, 16, -74, -27, 3, 0, 52, -33, -56, -19, -18, -59, 0, -25, 101, 112, 10, 118, -45, 0, -100, 0, -18, -58, -1, -38, 0, -91, 6, 118, 130, 29, -15, 0, 27, 72, -2, 84, 102, 165, 0, 215, 32, -93, -87, -9, -32, 0, 101, -7, -7, 112, -45, 24, 0, 15, -25, 136, -2, 114, -93, 0, -35, 155, 74, -21, 12, 1, 0, -81, 3, -165, -81, 18, 250, 0, 28, 36, 8, 4, 25, -122, 0, -109, -216, -30, 46, -151, -13, 0, -44, 18, 13, -2, 15, 69, 0, 43, 72, -117, -42, 3, 100, 0, 29, -124, -46, -90, 38, 1, 0, 1, 11, -137, -36, -51, -48, 0, -50, 154, 78, -39, -27, 9, 0, -26, -42, 21, -63, 14, 9, 0, 46, -45, 61, -48, -5, 68, 0, -4, 75, -15, -28, -6, 89, 0, 76, 36, 0, -156, 22, 45, 0, -66, -71, 132, 26, 7, 6, 0, -79, 15, 145, -71, 112, 66, 0, -26, -32, -31, -3, 104, 46, 0, 81, -45, -86, 54, 5, -35, 0, 24, -68, 108, -45, -22, -31, 0, 117, 42, 9, -3, 14, -3, 0, 50, 4, -3, 82, -18, -100, 0, -21, 55, 113, -41, -5, -47, 0, 32, -13, 30, 102, -36, -79, 0, 3, 35, -56, 26, -6, 60, 0, -48, 51, -171, 73, 23, -65, 0, 121, 111, -48, -25, -35, 5, 0, -7, 34, -20, -117, 91, 46, 0, 54, 129, -108, 18, -2, -3, 0, 93, -24, 22, -112, 52, -31, 0, -162, -30, 0, -30, 18, 38, 0, 6, -190, -93, -66, -107, -7, 0, -55, -48, 23, -36, 78, -9, 0, 94, -50, -158, 12, -35, 36, 0, 72, -18, -35, -29, -67, -47, 0, -54, -60, -51, 36, -61, 62, 0, 99, 7, -38, -42, -29, 75, 0, 68, 7, -84, 0, 24, 54, 0, 78, 191, -10, -66, 0, -56, 0, 97, -26, 4, -122, 9, 92, 0, -28, -1, -76, 11, -143, -176, 0, -59, 81, 11, 195, 82, 44, 0, 117, -39, 9, 141, -8, -31, 0, -70, 3, 10, -66, -69, 5, 0, -130, 24, 55, -33, -60, 42, 0, -143, 27, -27, -155, -108, 147, 0, 23, 15, -97, 54, -32, 87, 0, 23, 50, -17, -13, -63, 10, 0, -176, 63, 52, 28, -6, 39, 0, -18, -96, 0, 29, 15, 46, 0, 64, 57, -1, -93, 45, -78, 0, 105, -6, 69, 12, 19, 90, 0, 79, 35, 64, -155, -18, -130, 0, 26, -107, 21, 3, 18, 59, 0, 55, -26, -20, 9, -45, 79, 0, -73, 111, -138, 15, -90, -8, 0, -5, -13, -2, -109, 101, 19, 0, -44, -20, 45, 60, 22, 65, 0, 52, -51, -143, 13, -20, -315, 0, -181, -39, -15, 205, 93, 28, 0, 33, 15, 130, -53, -22, 100, 0, -50, 138, -7, 15, -29, -107, 0, -24, 81, 81, 42, 111, -47, 0, -30, -8, 22, 28, -19, -130, 0, 41, 225, 87, -12, 141, -93, 0, -15, -79, 55, -28, 106, 1, 0, -74, -33, 24, -93, -15, 13, 0, -3, 81, -10, -38, -63, 24, 0, 46, 125, 12, -197, -55, -18, 0, 69, 56, -66, -1, -32, 90, 0, -10, -49, 6, 24, 47, -9, 0, -154, -162, -145, -46, 126, -16, 0, -48, -3, 116, -92, 21, -58, 0, 82, -37, -9, -43, -61, -11, 0, 11, 46, 63, 35, 96, -36, 0, 20, -8, 181, 26, 39, -26, 0, 10, 51, -25, 37, 30, -47, 0, 52, 72, 29, -52, -5, 44, 0, 58, 63, -34, 12, 3, -104, 0, 47, -140, 185, 110, 51, -114, 0, 34, -59, 4, 63, 50, 84, 0, -97, 18, 169, 72, -30, 33, 0, -81, 54, -75, 3, 4, -89, 0, 153, 7, -29, 18, 96, 28, 0, -3, 39, -11, -224, -1, 82, 0, 56, -68, 75, -55, 31, -43, 0, 96, 94, -3, 27, 69, -79, 0, 195, -24, 81, -72, -30, -83, 0, 82, -139, -42, 63, -45, 126, 0, 32, -11, 10, -30, -87, 7, 0, 74, 20, -93, 97, -53, -93, 0, 21, 26, 22, -8, 18, 0, 0, 106, -54, -15, 19, -8, -19, 0, 11, 36, -35, 54, 46, -120, 0, -18, -69, -107, 90], "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": "483.2.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], [-1, 0], [1, 1], [3, -1], [0, 1], [0, 0], [-3, 0], [1, 0], [3, -2], [-5, 0], [-1, -1], [0, -1], [0, 0], [-3, 1], [-2, 1], [1, 2], [0, -1], [-3, 2], [0, 1], [0, 0], [0, 5], [1, 0], [3, 0], [7, -5], [3, 1], [-1, 0], [0, 0], [-3, 4], [-3, 2], [-3, 0], [3, 1], [5, 0], [-6, -3], [0, 0], [1, 1], [-9, 0], [-6, 1], [0, 1], [-9, 3], [3, 4], [0, 0], [-6, 5], [-5, -5], [3, -1], [0, -1], [4, 2], [2, -1], [0, 0], [15, -2], [-1, -2], [-3, -2], [-1, -5], [0, 1], [-15, 5], [0, 0], [3, -2], [-12, -1], [3, -3], [0, -1], [8, -3], [0, 3], [0, 0], [1, -6], [3, -2], [0, -5], [-5, -3], [7, 5], [-1, 0], [0, 0], [-6, 3], [-3, 0], [-7, 4], [0, 9], [-7, 5], [3, 1], [0, 0], [-3, -1], [-1, 0], [-9, 4], [1, 0], [-12, -7], [-1, -2], [0, 0], [-3, 3], [-15, 1], [3, -4], [15, 0], [-4, -3], [3, -2], [0, 0], [1, 1], [3, 0], [-6, -6], [-15, 7], [-3, -1], [13, 2], [0, 0], [-5, 0], [-8, -3]]}