# Stored data for newform 2541.2.a.t, downloaded from the LMFDB on 24 April 2024.
{"label": "2541.2.a.t", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953596397, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1491444455564452139, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1, 1]], [5, [-1, 1]], [13, [-19, -2, 1]]], "qexp_display": "q-\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}+q^{5}-\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10164, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 20.289987153607346, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [2541, 1, [848, 1816, 2059], [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": "1.878", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.800", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.773", "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": [-1, 2, 2, -2], "traces": [0, 2, -1, 2, -1, 2, -1, -2, 0, 2, -1, 0, -1, 2, 1, 2, -3, -6, -1, 0, -1, -2, 0, -2, 0, -8, -11, 2, 1, -10, -1, -6, 9, 0, -2, -2, -1, -14, 15, 2, 0, -4, 1, 2, 0, 2, 16, -4, -3, 2, 4, -6, 9, -2, -1, 0, 0, 0, 5, 0, -1, -4, -2, -2, 4, 2, 0, -24, 8, -2, 1, 4, 0, -18, 7, -8, -15, 0, -11, 20, -3, 2, 12, -18, 1, -6, -16, -10, 0, 0, -1, -2, -14, -6, 7, 0, 9, 6, -1, 0, 4, -14, -2, 8, 20, -2, -24, 4, -1, -10, 0, -14, 3, 8, 15, -2, 5, 2, -25, 6, 0, 0, 2, -4, 8, -18, 1, -6, -25, 2, -11, 16, 0, 0, 17, 2, 10, 26, 16, -20, 1, -4, -12, 0, -3, -10, 19, 2, 7, -10, 4, 6, -30, -6, 0, -6, 9, -4, 0, -2, 9, 2, -1, -32, -8, 0, 14, 14, 0, 16, -2, 0, 14, 12, 5, 8, 0, 0, -10, 0, -1, -6, 11, -4, -30, -14, -2, 0, -3, -2, 15, -26, 4, 2, 12, 2, -1, 24, 0, -30, 0, -24, -18, 10, 8, -4, 26, -2, -33, 0, 1, 16, 26, 4, 3, 2, 0, 6, 10, -18, 0, 14, 7, -12, -9, -8, -14, 4, -15, 10, 16, 0, 0, 12, -11, -4, 25, 20, 2, 20, -3, -34, 0, 2, 2, 2, 12, -60, 10, -18, 9, -16, 1, 0, 38, -6, 7, -14, -16, 14, 9, -10, -28, 12, 0, -2, -15, 0, 7, 20, -1, -24, -6, -2, 2, 0, -14, 4, 0, -6, 0, -14, 7, 32, 8, 0, 0, 4, 9, -6, 5, 6, -1, 32, -1, 0, 0, 0, 5, -62, 4, -2, 22, -14, 45, -4, -2, 24, 0, 8, -2, -16, 20, 18, -28, -2, -20, 26, -24, 0, 4, 4, -16, -30, -1, -8, 1, -10, -20, 4, 0, 4, 4, -14, 28, -24, 3, -6, -28, 8, 8, 0, 15, -2, 30, -2, -16, -56, 5, -30, -4, 2, 0, 58, -25, 4, 10, 6, 20, -20, 0, 52, 8, 0, -9, -18, 2, -4, 48, -4, 7, 2, 8, 22, 0, -18, -10, -10, 1, -40, -15, -6, 18, 48, -25, 0, -36, 2, -18, 40, -11, -24, 0, 16, -2, 20, 0, 6, 40, 0, 12, -46, 17, 14, 32, 2, -5, 0, 10, -60, 12, 26, -34, 0, 16, -18, -1, -20, 0, 20, 1, -26, -38, -4, 50, 24, -12, 4, -7, 0, -16, -4, -3, -12, 2, -10, 0, 90, 19, 0, 0, 2, 18, 28, 7, 0, 6, -10, -4, 40, 4, 0, 6, 6, -2, -2, -30, -26, 0, -6, -14, 56, 0, -32, 15, -6, 14, 36, 9, 24, 7, -4, 50, 0, 0, 0, -8, -2, -55, -10, 9, -14, -3, 2, 0, 6, -1, 16, 0, -32, -1, -4, -8, 30, 45, 0, -6, -4, 14, 0, 9, 14, 53, -18, 0, -14, 0, 16, -32, -60, -2, 18, 24, 0, 7, 8, 14, 0, -7, 12, 20, 14, 5, 12, 12, 8, 39, 28, 0, 46, -24, 0, 15, -44, -10, 4, -10, 0, -30, 0, -1, 56, 27, -6, -32, -10, 11, 24, -28, -4, 0, 0, -30, -20, 8, -14, 20, 34, -2, 62, 3, 0, -3, -38, -3, 8, -21, -2, 20, -60, 15, -44, 0, -26, -12, 8, 4, 46, 33, 2, 5, 18, 12, 0, -20, 2, -16, 16, -1, -30, -25, 24, 21, -8, 0, 6, 5, -30, 56, -60, 0, -54, 16, -24, -28, 0, -18, -36, 15, 10, 2, -24, 8, 22, 8, -4, 0, 56, 26, -30, 8, -2, 48, 0, -33, 22, 26, 0, 32, 42, 1, 44, -20, 16, 12, -6, 26, 2, 0, 4, -25, -26, 3, -2, 14, 2, -30, 56, 0, 0, 44, 6, 31, -72, 10, 16, 36, -18, -7, 20, 0, 14, -32, 14, -10, 0, 7, 10, -42, -12, 17, 0, -9, 42, 28, -8, 12, 24, -14, -6, 10, 4, 0, -2, -15, 26, 1, 10, -48, 98, 16, 4, 4, 0, 28, -20, 0, -8, 45, 12, -4, -44, -11, 0, 0, -4, -39, 14, 25, -10, -12, 20, 20, -24, 2, 0, -20, 20, -20, 20, -3, -8, -26, -34, -2, 40, 0, 26, -20, 2, 19, 24, 2, 52, -38, 2, 6, 0, 12, -10, 7, -60, 24, -28, 10, -10, -46, -18, 0, -4, 9, 84, 21, -16, 55, 6, 1, -14, -5, 0, -30, 16, 38, 10, 8, -6, -4, 100, 7, -10, 0, -14, 34, -2, -16, 24, -30, 14, -40, 60, 9, 0, -28, -10, -3, -4, -28, 24, -22, 12, 0, -8, 0, -4, 42, -2, -10, -14, -15, 2, -36, 0, 8, 0, 7, 2, 18, 20, 50, 50, -1, -44, -5, -24, 0, -32, -6, -90, 50, -2, -8, 6, 2, -12, -60, 0, 25, -56, -14, 0, 14, 4, 24, -6, 0, 14, 0, -6, -35, 20, 0, -8, 13, -14, 22, 16, 7, 0, -72, 32, 8, 14, 8, 32, -2, 0, -10, -36, 0, -80, 14, 4, -13, -82, 9, 12, -4, -6, -8, 0, 5, -44, -10, 6, -60, 18, -1, -36, -25, 32, 0, 74, -1, -52, -32, 0, -4, -26, 0, 6, -10, 0, 6, 30, 5, 0, 25, -62, -20, 30, 4, 56, 0, -2, 20, -6, 22, 56, -2, -14, 11, -56, 45, 0, 8, -4, -10, -16, -2, -30, -30, 24, -28, 44, 0, 56, 41, 8, -45, -10, -2, 0, -26, -16, 7, 0, 20, 44, -17, 18, -3, 76, -28, 64, -75, -2, 0, 16, -20, -58, -60, 26, -10, -18, -24, -26, 35, 0, -10, -26, 4, -34, 77, 4, 37, 2, -16, 24, 0, -30, 12, 24, -1, 20, 12, -8, 6, -14, 1, 0, -1, -10, 47, 28, -20, 24, 10, 4, 15, -92, 0, -36, -32, 4, 12, -30, 4, -36, -5, -14, 0, 0, 28, 50, -37, -24, 24, -150, 3, 60, -18, -6, 0, -22, -28, 10, -70, 8, 30, 40, 8, -16, -19, 0, -11, 16, 15, -20, 7, -2, 26, -24, 30, -78, 0, -2, -7, 12, -16, -20, -33, -56, 63, 10, 5, 0, 29, -30, 40, 100, -4, 6, -51, 2, 16, 16, 0, -6, -53, 58, 26, 24, -25, -68, 30, 4, 52, 0, 10, 90, 3, 6, 51, 70, 20, -8, 10, -20, 0, -38, 0, 34, -8, 52, -3, 6, 8, -4, -2, 0, 10, 86, -9, -32, -72, -18, -30, -36, 2, 4, 0, -4, -75, 8, 48, 14, 0, -4, -12, 10, 7, 0, 20, 2, -27, -12, 8, 4, -56, 22, -9, -150, 0, -42, 17, -18, -16, -2, -10, -70, -14, -10, -11, 0, 1, 4, -36, -40, 30, 62, -15, 32, 32, -6, 0, 10, 18, 42, 8, 48, -64, -14, -25, -12, -58, 0, -27, 40, -36, 0, 0, 2, -14, 12, -18, 12, 0, 40, 57, -14, -11, -16, -16, -24, 77, 16, 0, 0, -30, 16, 25, 14, -2, -16, -63, 20, 64, -56, 0, 20, 2, 6, 0, 18, 40, 20, 6, 0, 40, 0, 12, -74, 27, -46, -14, -34, 17, 8, -50, 14, 0, -12, 32, -32, 43, 2, -30, 14, -5, -148, 2, 0, 37, -58, 10, -8, -66, -60, -32, -20, 12, -24, 0, 26, -18, -60, -34, 46, -50, 0, 10, 34, 16, 0, -32, -18, 10, -10, -1, -30, -11, -20, -44, 0, 0, -16, 60, 20, 14, -40, 1, -54, 28, -26, 0, 0, -38, 6, -38, -4, 38, -8, 50, 30, -11, 24, 0, -4, -12, -20, 7, 4, -62, -28, -7, -14, -104, 0, 30, 0, -16, -46, 60, -4, -63, 14, -3, 4, 0, -12, -36, 14, 2, 8, 30, -10, 16, 36, 0, 0, -28, 90, -8, 86, 19, 12, 3, 0, -85, 40, 0, -56, 68, 2, 28, 8, 18, -16, 42, 28, -15, 0, 7, 24, -80, 0, -70, 26, 6, -112, 7, -10, 0, -80, -4, 20, -76, 40, -22, -60, 4, -2, 40, 0, -82, -24, 6, -150, -12, 6, -6, 6, -2, 20, 0, -2, 86, 66, -30, 24, 2, -26, 1, -42, 0, 0, -6, -6, -64, -24, -14, -54, -2, 56, 20, 4, 0, 60, 28, -32, 0, -16, 15, 30, -16, -6, -15, 0, 14, -120, 0, 36, 62, 4, 9, -14, -105, 24, 0, -70, 7, 44, -19, -4, 18, 32, 50, -30, -95, 0, 8, -10, 0, -12, -30, 0, -28, -76, -8, -60, 0, -2, -40, -42, -55, 4, 40, -10, -15, -40, 9, 0, -26, -14, -26, -6, -3, -16, -10, 2, -20, -24, 0, 28, 12, 6, 33, 2, -1, 120, -1, 16, 28, 0, 0, 32, -66, -32, 42, 48, -1, 36, -34, -4, 0, 0, -8, -16, -60, 30, 0, -14, 45, -2, -26, 0, 39, -56, -6, -10, 5, -4, 24, -38, 14, -62, 0, 0, -3, 10, 9, 60, -47, 14, -13, -2, 53, 0, -45, -18, 22, 64, 0, 20, -93, -14, 45, 28, 0, -6, 45, 16, -88, -122, -32, 16, -10, -60, -10, 0, -2, 16, -44, 18, -75, 24, 24, 10, -15, 0, 0, 54, 7, 98, 70, 8, -9, -14, 14, 40, 8, 0, 36, 112, -7, -16, 0, 12, -60, 20, 20, 12, 0, 14, 52, 18, 5, 116, 9, 12, -28, -96, 12, 0, -47, 8, -20, 30, 39, -20, -20, 28, 14, -48, 0, 26, 22, 46, -48, -4, -24, -14, -50, 0, 17, 0, 15, -36, -6, -44, -16, 46, -10, -10, 38, 4, 0, -4, -10, 40, -16, 0, -32, -8, -30, -30, -54, 0, 45, -80, -1, 14, 37, 56, 0, -18, 27, 84, 0, -6, 1, -12, -32, -64, 60, -10, 10, 6, 11, 0, -20, 24, 7, 56, -28, 4, -19, -4, 78, -48, 0, -146, -25, 0, 63, 4, -30, -86, 80, -20, 4, 0, 8, 32, -35, -14, -2, 104, 20, 20, 28, 34, 0, -20, -2, 96, 15, 62, -85, 78, 3, -34, 4, 0, 13, -6, -3, 34, 60, -38, -28, -60, -3, -18, 0, 8, -34, -14, -21, 10, -32, -2, -112, 96, 20, 0, 14, -60, -2, 40, 15, 0, 9, -44, 58, -2, 0, 92, 40, -26, 30, -6, -12, 12, 17, 8, 36, 0, 4, 60, -16, 46, 16, -28, 33, -56, -10, 2, 0, 28, 5, 104, 147, 18, 30, -30, 12, -64, -30, 0, -9, -84, -20, -22, 48, 2, 25, 16, -16, 50, 0, 16, 3, -64, -1, 58, 51, -30, -50, 20, -25, 0, -24, 24, 18, -16, 21, 34, -38, -8, 10, -34, 0, -42, 0, 6, -45, 16, 5, -40, 20, -30, -7, 0, 56, -20, -20, -60, 10, 14, 0, 26, 52, -54, 0, 52, 16, 20, -42, -24, 8, 46, -28, -14, -28, 0, 0, 40, -18, -22, -9, -36, 58, 2, 15, 72, 0, 10, 18, 50, 2, 24, -10, -24, 28, -4, 8, 0, -40, 22, 48, -12, 8, 90, -28, -4, -52, 134, 0, 6, -28, 56, -9, 20, 26, 2, -20, -30, 45, 0, 8, 66, 15, -2, -40, 22, 48, -36, -43, 0, 0, -46, -33, -42, 18, 22, -7, -16, 26, -50, -10, 0, 12, -20, 32, -10, -72, 42, -25, -50, 1, 12, 0, 44, -38, -40, -20, 24, 129, 16, 60, -46, 12, 0, 6, -6, -71, 56, 26, 48, 18, 2, 90, -18, 0, 48, 20, 4, -2, -150, -25, -4, 47, -26, -63, 0, 3, 28, 40, -2, -36, -94, 14, 12, 98, 2, 0, -10, -30, -4, -18, 56, 33, 120, 0, 40, 0, 0, -28, 90, 44, 64, -18, 6, 32, -24, 31, 180, 0, -72, 0, 14, 10, -94, -43, 16, 16, 14, 36, 0, -2, -18, -40, 148, -7, -80, -30, 20, 76, -10, 0, -32, -7, 14, -2, 6, -32, 44, -8, 14, 40, 0, -10, 42, -2, 0, 5, 74, 7, 10, 27, 10, 0, -2, -42, -46, 50, -12, -90, -4, 17, -96, -6, 0, 60, 14, -9, -54, -90, 42, 32, -34, 28, 6, 0, -8, -49, 106, 12, 30, -5, 24, 114, 30, -14, 0, 30, -6, 35, 50, 10, 116, -2, 4, 1, -60, 0, -60, 25, -2, -48, -32, -15, 82, -80, 26, 0, 0, 1, -20, -34, 10, -8, 112, -48, 0, 74, 98, 0, -20, 16, 30, 0, 4, 4, 72, 4, 62, 30, 0, -1, -74, 28, -32, -77, -20, -5, 104, 0, -100, 0, -8, -41, 62, 45, 20, -84, 12, -30, -20, -4, 0, -48, -44, -90, -26, -11, 2, -44, 0, -38, 16, 0, 78, -22, -4, 7, 90, -39, 28, 50, 14, -2, 0, 25, 54, 49, -10, -45, 0, -12, -64, -8, 20, 0, 4, 20, 26, -45, -24, -7, 96, 2, -12, -103, 0, -35, -60, -20, -24, 64, 20, 40, -78, -20, -4, 0, 20, 114, -52, -3, -36, -52, -8, -48, -12, -26, 0, -30, -34, 2, -126, -2, -96, 97, 40, 70, 16, 0, 0, 0, 26, -28, 0, -20, 90, -54, 2, 48, 0, 19, -18, 6, 24, -52, 0, 2, 70, 28, 52, 0, 8, -38, -22, 75, 2, -4, -16, 6, -76, 18, 0, 20, -138, 12, 28, -20, -10, 35, -26, 7, 16, 0, -60, 0, 0, 24, -8, -7, -28, 6, 84, 10, 0, 28, -10, -6, 116, -46, 60, -4, -18, 75, -78, 0, 40, -14, -4, 20, 52, 9, 6, 54, 84, 16, 0, 21, 28, 30, -16, 6, 30, 55, 34, 10, 6, 0, -24, 1, -30, -2, -14, 8, 42, -5, 8, 30, 0, 14, 148, -30, 14, -1, 16, 12, -26, 38, 64, 0, 10, 0, -100, 8, -72, 14, -6, 20, -34, -4, 0, 56, 100, -18, -4, 7, 56, -14, -10, 12, 30, 0, 124, -60, -14, -30, -32, 34, -4, -30, -2, 15, 0, -16, -136, -4, 24, -11, -80, -30, -108, 14, 14, 0, -42, -40, 36, -71, 60, -28, 20, 9, 24, 133, 0, 0, 24, -28, -4, -93, -10, -28, -44, -3, -26, 0, -4, 60, 76, -28, 6, 50, 24, -67, 80, -22, 0, 28, 12, -28, 172, 0, -44, -56, -8, 63, 0, 0, -34, -60, -4, -8, -36, 42, 12, 15, -2, -99, 0, -10, -90, -55, -14, -50, 42, -15, -10, 20, 2, 0, -120, -36, 2, -18, 0, 27, -14, 8, 90, -30, 0, -3, -144, 7, 210, 16, 2, 66, 114, 18, -100, 0, 20, 16, -42, 50, -24, -54, 50, -7, 56, -1, 0, 15, -44, 8, 16, -5, -96, 84, -24, 0, -44, 0, 30, -13, -32, -16, -124, -6, -80, 4, -90, 44, 0, 50, -4, -40, -2, 10, -20, -8, 26, -63, 6, 0, 30, 2, 16, -38, -12, 45, -58, -60, -22, -48, 0, 80, 54, 25, 168, -6, -56, -2, -46, -14, -4, 0, 0, -80, -120, 14, -46, -10, 4, 80, 0, 24, 0, 55, -6, -11, 8, 0, -8, -70, 14, -20, 40, 0, 142, 53, -6, -84, 20, -35, -18, -56, 20, -80, 0, 0, 36, 12, -8, -72, 56, 13, -52, 100, -14, 0, 74, 22, 30, -8, 16, -50, 150, 7, 70, -32, 0, -16, -28, -72, -60, -195, 32, 9, -90, 8, -24, 0, 14, -78, 18, 8, 106, -60, 32, 24, -16, -2, 0, 88, 0, -51, -68, -10, 4, 7, -36, 106, 44, 0, -32, -48, -80, 90, -80, 14, 0, 108, 4, 90, 0, -13, -130, 7, -82, -7, -4, 9, 2, -22, 12, 0, -2, -4, -68, -80, -6, -107, 90, -8, 14, -89, 0, 3, 20, 5, -22, 56, -44, -48, 12, -10, 4, 0, 6, 12, 114, -60, -4, -28, 18, 2, -28, -1, 0, 39, -36, 10, -22, -25, 28, 65, 32, 30, 10, 0, -60, 98, 74, -82, 46, -1, -56, 60, -52, 96, 0, -32, 40, -72, 0, -76, -26, -4, -80, 15, -26, 0, 68, 0, -44, 28, 6, 70, 72, -10, 24, 84, 0, -18, -16, 6, -64, 46, 30, -10, -48, 5, 62, 0, 0, -40, 36, 25, 70, -30, -62, 34, -32, -20, 0, -50, 30, 60, -30, 4, 126, 36, 56, -84, 56, 0, 126, 58, -2, 27, 64, 20, -18, 100, -6, 18, 0, 22, 20, -32, 56, 2, -40, -2, 40, -35, -14, 0, 30, 11, 84, -84, -56, 2, 24, 45, 24, -12, 0, -28, -54, 8, 136, 0, -4, 126, 68, -10, -70, 0, -16, 34, -42, -2, 0, -34, -30, 2, 20, -30, 0, 2, 24, -2, -20, -28, -6, -48, 44, 8, 126, 0, -50, -165, 56, 0, -44, 41, -6, 20, 8, -7, 0, -45, 34, -40, -10, 24, 90, -2, -24, -60, 0, 0, 62, -26, -154, 45, -16, -12, -4, 7, -152, -18, 0, -32, 46, 20, 146, -3, 44, 105, -30, -17, -38, 0, 18, 100, 20, -3, -14, 8, 76, 20, -32, -28, 0, -32, 64, -21, 0, -75, -88, 70, -2, 105, 24, 0, -112, 20, 16, 5, -92, -20, -60, -69, -58, -10, 0, -60, 6, 52, 26, 8, -44, -10, 64, -30, -18, 0, 54, -24, 60, 60, -26, 21, 8, 35, 150, -12, 0, 60, -8, -10, 18, -5, -26, -50, 120, 4, -54, 0, -34, 34, 46, 77, -34, 0, 4, 33, 0, 37, 0, -7, 2, 24, 16, -16, -12, -20, 24, -63, 22, 0, 18, -114, -30, -38, 10, 12, -48, 1, 24, -6, 0, -1, 14, -75, 20, -20, 216, 12, -140, -52, -8, 0, -34, 6, 70, -16, -14, 14, -20, 1, 16, 80, 0, -74, 10, -1, -16, 82, -10, 40, -30, 47, 26, 0, 28, 100, 4, -20, -92, 38, 24, 70, -34, 10, 0, 21, 4, -43, -42, 15, -8, -64, -92, -50, -90, 0, 44, -11, -36, 38, -24, -32, -10, -10, 4, 5, 0, 12, -180, 70, -30, -31, -40, 4, -4, 56, -36, 0, 76, -5, -60, 7, -14, -50, -160, 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": "231.2.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], [1, 0], [-1, 1], [1, 0], [0, -1], [-1, 0], [-1, 2], [1, 0], [0, -1], [0, 0], [-1, 1], [-1, 4], [0, 1], [1, 0], [0, -3], [-4, 2], [0, -1], [3, -6], [-1, 1], [-1, 0], [0, 0], [2, -6], [-1, 2], [-4, 0], [-4, -3], [1, 0], [1, -1], [-5, 0], [0, -1], [-4, 2], [5, -1], [0, 0], [-2, 2], [-1, 0], [-1, 1], [-7, 0], [6, 3], [-1, 4], [-1, 2], [0, -4], [0, 1], [-2, 6], [0, 0], [1, 0], [6, 4], [-1, -2], [0, -3], [1, 0], [0, 4], [-4, 2], [5, -1], [-6, 10], [0, -1], [0, 0], [1, -2], [3, -6], [0, 5], [-5, 10], [-1, 1], [-2, 0], [-2, 2], [-1, 0], [1, 2], [-1, 4], [0, 0], [-11, -2], [6, -4], [2, -6], [0, 1], [0, 4], [-1, 2], [-7, -4], [0, 7], [-4, 0], [-9, 3], [0, 0], [-4, -3], [12, -4], [0, -3], [1, 0], [4, 4], [-8, -2], [1, -1], [-4, 2], [-6, -4], [-5, 0], [0, 0], [-2, 4], [0, -1], [1, -4], [-8, 2], [-4, 2], [2, 3], [3, -6], [5, -1], [6, -6], [0, -1], [0, 0], [4, -4]]}