# Stored data for newform 3150.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "3150.2.a.b", "space_label": "3150.2.a", "level": 3150, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660928078, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 935324595824262691, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [4, 1]], [13, [3, 1]], [17, [-7, 1]], [19, [6, 1]], [29, [3, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{11}-3q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12600, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 25.152876636703322, "hecke_ring_index": 1, "level_radical": 210, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [3150, 1, [2801, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.103", "prec": 17}, {"__RealLiteral__": 0, "data": "4.904", "prec": 17}], "related_objects": ["EllipticCurve/Q/3150/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1], [7, 1]], "trace_display": [-1, 0, 0, -1], "traces": [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, -4, 0, -3, 1, 0, 1, 7, 0, -6, 0, 0, 4, 9, 0, 0, 3, 0, -1, -3, 0, -7, -1, 0, -7, 0, 0, -10, 6, 0, 0, 1, 0, 13, -4, 0, -9, -2, 0, 1, 0, 0, -3, -1, 0, 0, 1, 0, 3, 11, 0, 13, 7, 0, 1, 0, 0, 0, 7, 0, 0, -8, 0, 8, 10, 0, -6, 4, 0, 4, 0, 0, -1, 7, 0, 0, -13, 0, 4, 14, 0, 3, 9, 0, 2, 0, 0, 8, -1, 0, 0, 6, 0, -11, 3, 0, 1, -6, 0, -6, 0, 0, -1, 16, 0, 0, -3, 0, -11, -7, 0, 5, -13, 0, -7, 0, 0, -14, -1, 0, 0, -20, 0, 6, 0, 0, -7, 12, 0, -8, 0, 0, 8, 12, 0, 0, -8, 0, -10, 9, 0, 2, 6, 0, -4, 0, 0, -2, -4, 0, 0, -9, 0, 11, 1, 0, -7, 12, 0, -4, 0, 0, 13, 10, 0, 0, -4, 0, -14, 6, 0, -2, -3, 0, -9, 0, 0, -28, -2, 0, 0, 21, 0, 14, -8, 0, 1, -5, 0, 8, 0, 0, -6, 3, 0, 0, 11, 0, -3, 24, 0, 13, -1, 0, 6, 0, 0, 7, 6, 0, 0, -21, 0, 13, 1, 0, -16, -11, 0, 22, 0, 0, 3, 18, 0, 0, 11, 0, 7, 8, 0, 22, -5, 0, 13, 0, 0, 18, 7, 0, 0, -21, 0, -36, 14, 0, 1, -17, 0, 10, 0, 0, 20, 13, 0, 0, -6, 0, 0, -6, 0, 0, 7, 0, -12, 0, 0, 12, 8, 0, 0, -32, 0, 14, -8, 0, -12, -1, 0, 32, 0, 0, 8, -28, 0, 0, 10, 0, -9, -27, 0, -13, -2, 0, -6, 0, 0, -2, 4, 0, 0, 30, 0, -16, 2, 0, 4, 11, 0, 12, 0, 0, 9, -42, 0, 0, -11, 0, -1, 2, 0, -5, 7, 0, -12, 0, 0, -5, 4, 0, 0, 28, 0, -1, -13, 0, -10, 32, 0, 19, 0, 0, 4, 30, 0, 0, 14, 0, -6, -11, 0, 17, 2, 0, 3, 0, 0, -17, 9, 0, 0, 1, 0, 14, 28, 0, 2, 9, 0, -15, 0, 0, -21, 0, 0, 0, -14, 0, 8, -26, 0, 63, -1, 0, 5, 0, 0, 19, -8, 0, 0, -4, 0, 21, 6, 0, -3, 40, 0, 0, 0, 0, -11, -11, 0, 0, 3, 0, -24, 9, 0, 8, -13, 0, 1, 0, 0, -13, -6, 0, 0, 21, 0, 2, -7, 0, -6, -54, 0, -35, 0, 0, 21, 2, 0, 0, -13, 0, -1, -30, 0, -4, 16, 0, 11, 0, 0, -17, -22, 0, 0, 14, 0, -16, -3, 0, -18, -5, 0, 0, 0, 0, -11, -52, 0, 0, -7, 0, -8, 30, 0, 30, -22, 0, 5, 0, 0, -4, -13, 0, 0, -6, 0, -21, -18, 0, -7, 8, 0, -21, 0, 0, 21, 0, 0, 0, 36, 0, -14, 26, 0, -8, -1, 0, 17, 0, 0, 8, -10, 0, 0, 43, 0, -14, -20, 0, -13, -49, 0, 58, 0, 0, 6, -3, 0, 0, 0, 0, 6, -4, 0, -42, 0, 0, -7, 0, 0, -9, 12, 0, 0, 18, 0, -4, -12, 0, -8, 2, 0, -39, 0, 0, 32, 19, 0, 0, -14, 0, 8, -24, 0, -39, 12, 0, 1, 0, 0, 46, -32, 0, 0, -7, 0, 4, -8, 0, 28, 7, 0, 42, 0, 0, -10, 18, 0, 0, 9, 0, 27, 21, 0, 30, 13, 0, 2, 0, 0, -8, 6, 0, 0, 6, 0, 42, 2, 0, -4, -26, 0, 14, 0, 0, -30, -14, 0, 0, 16, 0, -2, -70, 0, -22, -4, 0, -11, 0, 0, -3, -12, 0, 0, -14, 0, -8, -9, 0, 42, -28, 0, -44, 0, 0, 11, -14, 0, 0, 1, 0, -2, -16, 0, -2, 5, 0, -7, 0, 0, -27, 12, 0, 0, -52, 0, 31, 5, 0, -4, 18, 0, -8, 0, 0, -28, -38, 0, 0, 1, 0, 13, 3, 0, -8, 10, 0, -32, 0, 0, 7, -19, 0, 0, -7, 0, 60, -4, 0, -30, -6, 0, 28, 0, 0, -14, -63, 0, 0, 6, 0, 11, 0, 0, 11, -17, 0, -2, 0, 0, -3, -3, 0, 0, 91, 0, -41, 17, 0, -9, 0, 0, -47, 0, 0, -1, -45, 0, 0, -14, 0, -28, 6, 0, -10, -2, 0, -9, 0, 0, -20, 15, 0, 0, 42, 0, 6, 21, 0, 0, -33, 0, -26, 0, 0, 14, 6, 0, 0, -8, 0, 26, -6, 0, 32, -63, 0, 1, 0, 0, 22, -5, 0, 0, -16, 0, -39, -19, 0, 8, 0, 0, -14, 0, 0, 4, -32, 0, 0, -21, 0, -6, -18, 0, -40, 3, 0, -40, 0, 0, -78, 0, 0, 0, 18, 0, 4, 11, 0, 11, 34, 0, -25, 0, 0, -3, 7, 0, 0, 24, 0, -9, -32, 0, -20, -8, 0, 13, 0, 0, -5, -1, 0, 0, -90, 0, -13, 13, 0, 6, -6, 0, 36, 0, 0, -21, -28, 0, 0, -2, 0, 7, -16, 0, 0, 6, 0, 54, 0, 0, 8, 35, 0, 0, 13, 0, -21, -21, 0, -2, -38, 0, 14, 0, 0, 13, 12, 0, 0, 1, 0, 30, 21, 0, -7, 4, 0, -16, 0, 0, 47, -11, 0, 0, -21, 0, -28, 17, 0, 22, 20, 0, -10, 0, 0, -14, 24, 0, 0, 16, 0, 3, -31, 0, -6, 18, 0, 5, 0, 0, 38, 0, 0, 0, 40, 0, 9, 11, 0, 52, -2, 0, -24, 0, 0, 7, -12, 0, 0, 8, 0, -30, -12, 0, 18, -30, 0, 22, 0, 0, -26, -5, 0, 0, 36, 0, 8, 4, 0, 13, -30, 0, -56, 0, 0, 6, 4, 0, 0, 21, 0, 18, 117, 0, -26, 7, 0, -8, 0, 0, 14, 21, 0, 0, -12, 0, 77, -21, 0, 0, 6, 0, 43, 0, 0, -36, -4, 0, 0, 14, 0, -26, -50, 0, -49, 8, 0, 1, 0, 0, -12, -17, 0, 0, 57, 0, -21, -8, 0, 10, 91, 0, -40, 0, 0, -43, -9, 0, 0, 14, 0, 20, 29, 0, 28, 13, 0, 49, 0, 0, -2, -58, 0, 0, -21, 0, 41, -6, 0, 3, -32, 0, 13, 0, 0, 0, 30, 0, 0, -6, 0, 4, -21, 0, -18, 42, 0, 0, 0, 0, -22, 7, 0, 0, 27, 0, -46, 9, 0, -12, 25, 0, 2, 0, 0, -18, 0, 0, 0, 4, 0, 12, 24, 0, -24, 8, 0, -2, 0, 0, 52, 39, 0, 0, -66, 0, 32, -32, 0, -19, 9, 0, 25, 0, 0, 14, 44, 0, 0, -8, 0, 24, 0, 0, -11, 39, 0, -12, 0, 0, 70, -1, 0, 0, -24, 0, 6, -46, 0, 32, -42, 0, -78, 0, 0, 7, 14, 0, 0, -4, 0, 8, -12, 0, -20, -28, 0, -7, 0, 0, 24, -42, 0, 0, -50, 0, 4, 10, 0, -18, 36, 0, -3, 0, 0, -9, -3, 0, 0, -27, 0, -21, 24, 0, -11, -30, 0, -13, 0, 0, -56, -2, 0, 0, -10, 0, -44, 8, 0, -6, 30, 0, -9, 0, 0, -6, 64, 0, 0, -42, 0, -2, -10, 0, -13, 4, 0, 26, 0, 0, 63, -14, 0, 0, 56, 0, -64, 30, 0, 14, -39, 0, 60, 0, 0, -16, -6, 0, 0, 2, 0, 70, -21, 0, -24, 22, 0, 4, 0, 0, 2, 11, 0, 0, -7, 0, 0, 3, 0, 12, -56, 0, -7, 0, 0, 14, 18, 0, 0, 8, 0, 9, 18, 0, 2, -42, 0, 28, 0, 0, -18, 44, 0, 0, -66, 0, -56, -11, 0, 14, 43, 0, 28, 0, 0, -1, -18, 0, 0, 2, 0, 16, -12, 0, -4, 2, 0, -5, 0, 0, -44, 7, 0, 0, 24, 0, -91, 27, 0, -12, -21, 0, 33, 0, 0, 52, 28, 0, 0, -31, 0, -5, 48, 0, -14, 4, 0, -18, 0, 0, 99, 8, 0, 0, 66, 0, 6, 28, 0, 38, 47, 0, 63, 0, 0, -1, -9, 0, 0, -13, 0, -3, 5, 0, 32, 8, 0, -10, 0, 0, -48, 32, 0, 0, 18, 0, -8, -7, 0, 19, 56, 0, 41, 0, 0, 7, 117, 0, 0, -60, 0, 4, -6, 0, 49, 30, 0, 6, 0, 0, 18, -28, 0, 0, -3, 0, -30, 14, 0, 63, -20, 0, -52, 0, 0, -6, -10, 0, 0, -11, 0, 0, -8, 0, 80, -11, 0, 17, 0, 0, 28, 2, 0, 0, 10, 0, -50, 3, 0, 3, 14, 0, -6, 0, 0, -91, -24, 0, 0, 41, 0, -17, -48, 0, -2, 9, 0, 0, 0, 0, -13, 47, 0, 0, 0, 0, 10, 1, 0, 45, 42, 0, 34, 0, 0, 14, 46, 0, 0, 28, 0, -6, 28, 0, -24, 10, 0, 2, 0, 0, -48, 9, 0, 0, -58, 0, 98, 20, 0, -15, -10, 0, -7, 0, 0, -42, 8, 0, 0, -6, 0, -21, 32, 0, -22, 0, 0, 33, 0, 0, 3, 26, 0, 0, 0, 0, -9, -14, 0, -6, 21, 0, -44, 0, 0, 8, -45, 0, 0, -26, 0, 6, 30, 0, -13, -32, 0, 63, 0, 0, 41, -1, 0, 0, -24, 0, -15, -22, 0, 5, -42, 0, -4, 0, 0, 16, -8, 0, 0, 39, 0, 19, 11, 0, -130, -8, 0, 0, 0, 0, 40, 14, 0, 0, -63, 0, -22, -4, 0, 32, 39, 0, -12, 0, 0, 21, 66, 0, 0, 6, 0, 18, 2, 0, -28, 40, 0, -3, 0, 0, 52, 40, 0, 0, -18, 0, -72, 78, 0, 0, -78, 0, -36, 0, 0, -18, 7, 0, 0, -4, 0, -11, 56, 0, 42, -11, 0, -34, 0, 0, -36, 25, 0, 0, -8, 0, 30, 3, 0, -7, -52, 0, -17, 0, 0, -24, -8, 0, 0, 9, 0, 32, 72, 0, -40, 20, 0, 8, 0, 0, -22, -13, 0, 0, -84, 0, 38, 5, 0, 1, 3, 0, 14, 0, 0, 90, 60, 0, 0, 13, 0, -13, 57, 0, -33, -6, 0, 6, 0, 0, 42, -36, 0, 0, -23, 0, 13, 21, 0, 28, 8, 0, -18, 0, 0, 2, 39, 0, 0, -7, 0, 16, 20, 0, -57, 0, 0, -6, 0, 0, 3, -54, 0, 0, -77, 0, 44, -8, 0, -35, 21, 0, 54, 0, 0, -13, 13, 0, 0, 21, 0, 21, -39, 0, 36, 2, 0, 38, 0, 0, -4, -14, 0, 0, -36, 0, 32, -13, 0, -12, -20, 0, -16, 0, 0, -1, -44, 0, 0, -30, 0, -21, 17, 0, 39, 7, 0, -4, 0, 0, 24, 16, 0, 0, 35, 0, -10, -47, 0, 11, 36, 0, -42, 0, 0, 21, -52, 0, 0, 28, 0, -17, -77, 0, 80, -22, 0, -20, 0, 0, -48, 10, 0, 0, -13, 0, -48, 14, 0, -24, 66, 0, 126, 0, 0, -16, -42, 0, 0, -3, 0, 31, 16, 0, 45, 6, 0, -18, 0, 0, 14, -5, 0, 0, -63, 0, 79, -38, 0, 0, 78, 0, -13, 0, 0, -40, 6, 0, 0, -9, 0, -11, 6, 0, -91, -52, 0, 2, 0, 0, 0, 24, 0, 0, 54, 0, -40, -7, 0, 12, -44, 0, 63, 0, 0, -8, 56, 0, 0, 30, 0, 12, -36, 0, 112, -18, 0, 30, 0, 0, -2, -22, 0, 0, 52, 0, -18, 26, 0, 5, -27, 0, -12, 0, 0, -36, 0, 0, 0, -8, 0, -4, 66, 0, -41, -13, 0, 30, 0, 0, 66, 56, 0, 0, 10, 0, -6, -6, 0, -4, 32, 0, -24, 0, 0, -21, 74, 0, 0, -18, 0, -117, 75, 0, -14, 26, 0, -7, 0, 0, -82, 8, 0, 0, 8, 0, -48, -14, 0, -21, 31, 0, -56, 0, 0, 12, 66, 0, 0, -77, 0, 21, 1, 0, -28, 0, 0, -6, 0, 0, -3, -43, 0, 0, -26, 0, -32, 36, 0, 4, 28, 0, 27, 0, 0, -14, 36, 0, 0, 26, 0, 50, 15, 0, 6, 49, 0, -8, 0, 0, 126, -1, 0, 0, 28, 0, -16, 12, 0, 17, 35, 0, 24, 0, 0, -57, 42, 0, 0, 21, 0, 8, -75, 0, 36, -10, 0, -91, 0, 0, 0, 40, 0, 0, 14, 0, 20, 43, 0, 9, 33, 0, -64, 0, 0, -14, 27, 0, 0, -20, 0, -29, 60, 0, -84, -28, 0, -13, 0, 0, 13, -49, 0, 0, 69, 0, 18, 2, 0, 58, -24, 0, -33, 0, 0, 21, -56, 0, 0, -41, 0, 6, -8, 0, -74, -3, 0, 32, 0, 0, -26, -13, 0, 0, -8, 0, 54, 0, 0, -30, -96, 0, 2, 0, 0, 6, 24, 0, 0, -4, 0, 21, -98, 0, -10, 18, 0, -42, 0, 0, 20, 0, 0, 0, -36, 0, -1, 22, 0, -7, -30, 0, -79, 0, 0, -27, -110, 0, 0, 46, 0, -9, -32, 0, 16, 12, 0, -25, 0, 0, 51, -2, 0, 0, 56, 0, 36, 18, 0, 0, 20, 0, -43, 0, 0, -4, -21, 0, 0, -12, 0, -24, -11, 0, -28, 24, 0, -8, 0, 0, -140, 2, 0, 0, 72, 0, -12, -52, 0, -39, -33, 0, -65, 0, 0, 66, -39, 0, 0, -32, 0, 32, -30, 0, 53, 19, 0, -9, 0, 0, -130, -25, 0, 0, 42, 0, -56, -14, 0, -44, -36, 0, 4, 0, 0, 8, 87, 0, 0, -24, 0, 0, -13, 0, 4, 11, 0, -39, 0, 0, -43, 12, 0, 0, -12, 0, 4, -70, 0, 1, -34, 0, -30, 0, 0, 24, -2, 0, 0, -6, 0, 46, -24, 0, 8, -32, 0, 42, 0, 0, 5, 78, 0, 0, -52, 0, 54, -7, 0, -14, -18, 0, 84, 0, 0, 4, -51, 0, 0, -8, 0, 12, 20, 0, 90, 20, 0, 28, 0, 0, -53, 7, 0, 0, -12, 0, 6, -24, 0, 42, -42, 0, 5, 0, 0, 50, -56, 0, 0, -4, 0, -10, -99, 0, -34, 18, 0, -36, 0, 0, -33, 3, 0, 0, 3, 0, 47, 9, 0, 3, -28, 0, 6, 0, 0, 27, 33, 0, 0, 21, 0, -24, 54, 0, 1, 11, 0, 30, 0, 0, -21, 13, 0, 0, 89, 0, 84, 56, 0, 2, 30, 0, 11, 0, 0, 10, 21, 0, 0, 44, 0, -8, -32, 0, 84, 6, 0, -30, 0, 0, -16, 9, 0, 0, -26, 0, -19, 6, 0, -64, -56, 0, -28, 0, 0, 42, -52, 0, 0, 2, 0, 10, 50, 0, -54, 13, 0, -4, 0, 0, -14, -26, 0, 0, -30, 0, 85, -63, 0, 14, 86, 0, 0, 0, 0, -56, -63, 0, 0, 64, 0, -30, 120, 0, 2, -14, 0, 39, 0, 0, 44, -60, 0, 0, 13, 0, -38, 16, 0, 6, -54, 0, -42, 0, 0, -2, 11, 0, 0, -70, 0, 21, -88, 0, 61, 24, 0, -22, 0, 0, -17, -4, 0, 0, 6, 0, 63, -2, 0, -11, 143, 0, 28, 0, 0, 7, -55, 0, 0, 0, 0, -3, 3, 0, 5, -12, 0, 56, 0, 0, -26, 7, 0, 0, 15, 0, -72, -14, 0, -18, 14, 0, 17, 0, 0, -8, -49, 0, 0, -9, 0, -18, -5, 0, -42, -2, 0, 42, 0, 0, -24, -28, 0, 0, 36, 0, -82, 18, 0, -44, -1, 0, 144, 0, 0, 66, -72, 0, 0, 56, 0, 11, -57, 0, -14, -14, 0, -43, 0, 0, 78, -28, 0, 0, -28, 0, 169, 1, 0, 18, 80, 0, -32, 0, 0, -2, -10, 0, 0, -16, 0, 12, -9, 0, 48, 4, 0, -2, 0, 0, 48, 5, 0, 0, -88, 0, 15, 44, 0, -7, -42, 0, -30, 0, 0, -24, 48, 0, 0, 91, 0, -27, -14, 0, -24, 12, 0, 21, 0, 0, 50, -33, 0, 0, 0, 0, 44, -52, 0, -28, 26, 0, -1, 0, 0, 31, -22, 0, 0, 5, 0, -48, -34, 0, -80, 14, 0, -4, 0, 0, 30, 18, 0, 0, 29, 0, -62, -99, 0, -8, -72, 0, 31, 0, 0, -66, 26, 0, 0, -6, 0, -28, 47, 0, 12, -38, 0, -47, 0, 0, -63, -63, 0, 0, 66, 0, -39, 1, 0, 9, 0, 0, -51, 0, 0, 13, -54, 0, 0, 3, 0, -5, -98, 0, 84, -32, 0, -8, 0, 0, -98, 10, 0, 0, 77, 0, -22, 48, 0, -32, 33, 0, -19, 0, 0, -18, 45, 0, 0, 8, 0, 7, 80, 0, 19, -19, 0, -56, 0, 0, 2, -41, 0, 0, 48, 0, 60, -7, 0, -117, 4, 0, -52, 0, 0, 60, -24, 0, 0, -4, 0, 6, -60, 0, -21, -49, 0, -30, 0, 0, 68, -6, 0, 0, -54, 0, -28, -18, 0, 28, -42, 0, 84, 0, 0, 3, 30, 0, 0, 30, 0, -14, -40, 0, 1, -63, 0, 20, 0, 0, -13, 52, 0, 0, 80, 0, 0, 6, 0, 10, -26, 0, -12, 0, 0, 11, -28, 0, 0, 0, 0, 8, -39, 0, 0, -80, 0, 11, 0, 0, 27, -17, 0, 0, 11, 0, -52, -28, 0, -2, -93, 0, -39, 0, 0, -10, -104, 0, 0, 50, 0, -3, -25, 0, -8, -3, 0, -14, 0, 0, -43, 6, 0, 0, -126, 0, -40, 91, 0, 24, 27, 0, -18, 0, 0, -41, -9, 0, 0, 17, 0, 48, 49, 0, 70, 2, 0, -9, 0, 0, -8, 0, 0, 0, 33, 0, 60, 13, 0, -47, -22, 0, 24, 0, 0, 0, 4, 0, 0, -10, 0, -1, 12, 0, 16, -45, 0, -42, 0, 0, -66, -34, 0, 0, 0, 0, 12, -14, 0, -46, 33, 0, 13, 0, 0, -28, 8, 0, 0, 6, 0, -28, 70, 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": "3150.2.a.b", "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], [1], [-1], [0], [1], [0], [0], [-1], [-1], [0], [0], [-4], [0], [-3], [1], [0], [1], [7], [0], [-6], [0], [0], [4], [9], [0], [0], [3], [0], [-1], [-3], [0], [-7], [-1], [0], [-7], [0], [0], [-10], [6], [0], [0], [1], [0], [13], [-4], [0], [-9], [-2], [0], [1], [0], [0], [-3], [-1], [0], [0], [1], [0], [3], [11], [0], [13], [7], [0], [1], [0], [0], [0], [7], [0], [0], [-8], [0], [8], [10], [0], [-6], [4], [0], [4], [0], [0], [-1], [7], [0], [0], [-13], [0], [4], [14], [0], [3], [9], [0], [2], [0], [0], [8], [-1], [0], [0]]}