# Stored data for newform 4014.2.a.m, downloaded from the LMFDB on 24 April 2024.
{"label": "4014.2.a.m", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562004398, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 1623861813162358594, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [1, 0, -3, 1]], [7, [-1, 0, 3, 1]], [11, [9, -9, 0, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta _{1})q^{5}+(-1+\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16056, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 32.05195137134194, "hecke_ring_index": 1, "level_radical": 1338, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [4014, 1, [893, 2233], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 223], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.064", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "24.485", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "293.060", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [223, -1]], "trace_display": [-3, 0, 3, -3], "traces": [0, 3, -3, 0, 3, 3, 0, -3, -3, 0, -3, 0, 0, -9, 3, 0, 3, 6, 0, -3, 3, 0, 0, 6, 0, -6, 9, 0, -3, 3, 0, -9, -3, 0, -6, 0, 0, -6, 3, 0, -3, 6, 0, 0, 0, 0, -6, 15, 0, -12, 6, 0, -9, 9, 0, -9, 3, 0, -3, -6, 0, -15, 9, 0, 3, -9, 0, -3, 6, 0, 0, -9, 0, -12, 6, 0, -3, 0, 0, 0, 3, 0, -6, -3, 0, -12, 0, 0, 0, -3, 0, 0, 6, 0, -15, -6, 0, -27, 12, 0, -6, -15, 0, -18, 9, 0, -9, -21, 0, 3, 9, 0, -3, -3, 0, 21, 3, 0, 6, -15, 0, -15, 15, 0, -9, -6, 0, 6, -3, 0, 9, -15, 0, 6, 3, 0, -6, -24, 0, 12, 0, 0, 9, -9, 0, 12, 12, 0, -6, -27, 0, 21, 3, 0, 0, -24, 0, -36, 0, 0, -3, 6, 0, 24, 6, 0, 3, 18, 0, 6, 12, 0, 0, 12, 0, 9, 0, 0, 3, -27, 0, 15, 0, 0, -6, -9, 0, 27, 15, 0, 6, -33, 0, -9, 27, 0, -12, 24, 0, 9, 6, 0, 15, -21, 0, 21, 18, 0, -9, 9, 0, -9, 9, 0, 21, 9, 0, -12, -3, 0, -9, -18, 0, 3, 3, 0, 3, 18, 0, -21, -21, 0, -3, -3, 0, 27, -6, 0, 15, -24, 0, -45, 15, 0, -15, -24, 0, 0, 9, 0, 6, -30, 0, -18, -6, 0, 3, -9, 0, 36, -9, 0, 15, 15, 0, -30, -6, 0, -3, -24, 0, -12, 6, 0, 24, -27, 0, -21, -12, 0, 0, -30, 0, 0, -9, 0, 9, 15, 0, 15, -12, 0, -12, 3, 0, 6, 6, 0, 27, -27, 0, -9, -21, 0, -3, -30, 0, 15, 0, 0, 24, -3, 0, 6, 36, 0, 0, -12, 0, -36, 3, 0, -6, 3, 0, 27, -24, 0, -6, -36, 0, 3, -3, 0, -18, -9, 0, -33, -6, 0, -12, 9, 0, 18, 0, 0, -12, -15, 0, 39, -9, 0, 0, -3, 0, -9, -3, 0, 27, -48, 0, -48, -15, 0, 0, 0, 0, -18, 6, 0, 9, -24, 0, 12, -27, 0, -15, 36, 0, 15, -6, 0, 33, 39, 0, 9, 9, 0, -27, -12, 0, -33, 12, 0, -24, -3, 0, -18, -9, 0, -6, -57, 0, 54, -15, 0, 21, 36, 0, -24, -21, 0, -18, 21, 0, -42, 9, 0, -9, -9, 0, -36, 9, 0, -9, -57, 0, 3, -21, 0, -9, 72, 0, -15, 12, 0, 3, -9, 0, -33, 9, 0, 18, 0, 0, -42, -3, 0, -3, -3, 0, -9, -3, 0, -18, 0, 0, -27, 21, 0, 21, 48, 0, -3, 3, 0, 3, -3, 0, -36, -27, 0, 6, -27, 0, -6, -15, 0, 24, -3, 0, -45, 45, 0, -15, -36, 0, -12, 15, 0, 24, 3, 0, -21, 0, 0, -9, 9, 0, -33, -6, 0, 30, 30, 0, -12, 18, 0, 6, -6, 0, 27, -3, 0, 9, -42, 0, -45, -36, 0, 9, -12, 0, 33, -15, 0, -15, 27, 0, -15, 30, 0, 6, -45, 0, 6, 3, 0, 24, 9, 0, -18, 12, 0, -6, 18, 0, 15, -24, 0, 27, -30, 0, 12, 21, 0, 12, 75, 0, 27, 0, 0, 30, -3, 0, -24, 0, 0, 9, -21, 0, 18, -9, 0, -15, 21, 0, 0, -15, 0, 12, -12, 0, 63, 12, 0, -3, 27, 0, 3, -6, 0, -6, 69, 0, 18, -27, 0, 27, -24, 0, -45, 9, 0, 21, 3, 0, -66, 3, 0, 30, 9, 0, 24, -15, 0, 0, 54, 0, -60, -24, 0, 3, -21, 0, 9, -6, 0, -36, -3, 0, 18, 0, 0, 12, -21, 0, 54, 36, 0, -3, 33, 0, -39, 6, 0, -3, 9, 0, -9, -27, 0, 24, -18, 0, 27, 6, 0, 36, 0, 0, -33, -3, 0, 3, 3, 0, 6, 18, 0, 9, 18, 0, -57, 33, 0, 6, 45, 0, 36, 12, 0, -9, -9, 0, 9, -18, 0, 0, -36, 0, 66, 12, 0, 15, 54, 0, -33, -39, 0, 9, 6, 0, 39, 0, 0, 3, 39, 0, 0, 9, 0, 3, -69, 0, 9, -27, 0, 48, 63, 0, 6, 48, 0, 15, 39, 0, 3, 0, 0, 0, -27, 0, 69, 18, 0, -6, -27, 0, 78, -9, 0, 24, -12, 0, -6, -12, 0, 27, 12, 0, -21, 15, 0, -36, 30, 0, -3, -15, 0, 6, 54, 0, 0, -33, 0, -39, 0, 0, -36, -9, 0, -9, 15, 0, -6, 27, 0, 12, 0, 0, 0, 33, 0, -12, -57, 0, 9, 24, 0, 3, 15, 0, 54, 18, 0, 9, 18, 0, -6, 6, 0, 57, -9, 0, -15, -54, 0, 15, 33, 0, 39, -21, 0, -36, 12, 0, -18, 24, 0, 21, 27, 0, 42, 18, 0, -21, 66, 0, -39, 42, 0, -9, 12, 0, 15, 9, 0, 9, 48, 0, 42, 36, 0, -9, -3, 0, 24, 9, 0, 57, 12, 0, 12, -3, 0, 21, 72, 0, 9, 9, 0, -72, 102, 0, 48, 15, 0, -12, 18, 0, 81, -3, 0, 9, -15, 0, -66, 33, 0, -9, 87, 0, 24, -18, 0, 0, 39, 0, -51, 42, 0, 3, -48, 0, -78, 3, 0, 3, 36, 0, 135, 9, 0, 3, 45, 0, -66, 18, 0, 0, -24, 0, 63, 27, 0, -21, 27, 0, 72, -21, 0, -48, 27, 0, -27, 3, 0, -3, -9, 0, 9, -3, 0, 3, 36, 0, -9, 36, 0, 27, -51, 0, 63, -6, 0, 27, 66, 0, 18, 6, 0, 15, -42, 0, 12, -24, 0, 3, 45, 0, 12, 45, 0, -45, -60, 0, 3, 15, 0, 36, -12, 0, 45, 12, 0, -15, 69, 0, 54, -24, 0, -3, 102, 0, 36, 21, 0, 0, 9, 0, -45, 9, 0, -9, 36, 0, 48, 33, 0, 6, -9, 0, -48, -30, 0, -30, 15, 0, -27, 12, 0, -18, 90, 0, -9, -6, 0, 6, -81, 0, 90, -27, 0, 3, 12, 0, -27, -9, 0, 42, -84, 0, 99, 45, 0, 36, 15, 0, -120, -9, 0, 12, 42, 0, 27, -33, 0, 15, 72, 0, 51, 15, 0, -27, 3, 0, -12, 15, 0, -30, 27, 0, 42, -6, 0, 45, 27, 0, -33, -6, 0, -3, -168, 0, 36, -24, 0, -9, 0, 0, 33, 18, 0, -12, 15, 0, -48, 6, 0, -18, -66, 0, -36, -15, 0, 24, -48, 0, 66, -27, 0, 30, 45, 0, 9, -12, 0, -21, 6, 0, 18, -12, 0, -75, 3, 0, 39, -27, 0, 0, 9, 0, 96, -30, 0, 3, -63, 0, 45, 24, 0, 0, 36, 0, -27, -9, 0, 21, 12, 0, -12, -18, 0, 9, 0, 0, -69, 15, 0, -21, 69, 0, 3, 0, 0, 15, 18, 0, 18, -12, 0, 12, 42, 0, 69, -63, 0, -12, -51, 0, 27, 3, 0, -27, 27, 0, -63, -3, 0, 6, -96, 0, 57, 6, 0, -69, 39, 0, -39, -18, 0, 27, -87, 0, -57, -27, 0, 24, -27, 0, 99, 45, 0, -9, -105, 0, -18, -21, 0, -3, 69, 0, -24, 66, 0, -3, -72, 0, -75, -30, 0, -9, 9, 0, 3, -24, 0, 15, 39, 0, 33, 0, 0, -54, 9, 0, 6, 60, 0, 24, -60, 0, 54, -3, 0, 21, 81, 0, 60, -9, 0, 6, -21, 0, 24, 36, 0, 3, -126, 0, 54, -18, 0, 0, -54, 0, -18, -12, 0, 21, -96, 0, -30, -54, 0, -36, -45, 0, 90, 3, 0, -33, -27, 0, 75, 39, 0, -6, 36, 0, 54, 3, 0, -9, 3, 0, -6, 9, 0, 27, 9, 0, -15, -24, 0, 18, -42, 0, -27, -27, 0, -6, 0, 0, -36, -36, 0, 0, -66, 0, 129, 33, 0, 3, -120, 0, -15, -3, 0, -3, -27, 0, 18, -6, 0, -18, 24, 0, 54, -9, 0, -18, 9, 0, -63, 57, 0, -33, 9, 0, -57, -6, 0, -45, -6, 0, 27, -36, 0, -12, -42, 0, 168, 9, 0, 9, -39, 0, 123, -9, 0, 18, -75, 0, 9, 0, 0, 36, 9, 0, 36, -66, 0, -12, -93, 0, 15, -15, 0, -54, 108, 0, 9, 33, 0, 39, 9, 0, -27, -9, 0, -6, -72, 0, 3, -39, 0, 0, -81, 0, 111, -3, 0, -39, 36, 0, 0, 0, 0, -9, 15, 0, -45, -3, 0, 69, 87, 0, -39, -9, 0, 27, 3, 0, -15, -48, 0, -63, -120, 0, -72, -6, 0, -48, -30, 0, 42, -15, 0, -39, -129, 0, 111, -3, 0, 0, 6, 0, 18, 0, 0, 27, 0, 0, 9, -69, 0, -18, -36, 0, -3, 6, 0, 27, 33, 0, 87, -78, 0, 9, -30, 0, 69, -24, 0, 12, -99, 0, -75, 6, 0, 12, 75, 0, -45, -27, 0, -12, 27, 0, 15, 21, 0, -15, -9, 0, -45, 36, 0, -30, 150, 0, 111, 3, 0, 15, 75, 0, 93, -6, 0, -54, 39, 0, -3, 0, 0, 33, -27, 0, 21, 39, 0, 0, 63, 0, -72, 36, 0, 9, -57, 0, -21, 9, 0, -15, 0, 0, 18, 6, 0, -27, 99, 0, -75, -12, 0, 0, -12, 0, -3, 0, 0, -33, 51, 0, -30, 12, 0, 57, -21, 0, 45, -9, 0, -24, 27, 0, -123, -3, 0, -15, 147, 0, -33, -54, 0, -18, -72, 0, -99, -9, 0, -18, -81, 0, -102, 6, 0, -6, 36, 0, 18, -57, 0, 9, 75, 0, -108, 15, 0, 54, -72, 0, 33, -15, 0, -33, 0, 0, -168, -39, 0, 21, 45, 0, 12, 36, 0, -12, 48, 0, -18, 18, 0, -24, -3, 0, -27, -21, 0, -27, 57, 0, -12, -42, 0, -18, -27, 0, 45, 21, 0, -66, 48, 0, -126, 39, 0, -42, -9, 0, 93, 9, 0, -12, -30, 0, 30, -15, 0, -9, 57, 0, 27, -9, 0, -48, 15, 0, -33, -42, 0, -36, 57, 0, -21, 9, 0, 3, 18, 0, 24, -24, 0, -9, 15, 0, 6, -57, 0, -12, 63, 0, 45, -12, 0, 3, 27, 0, -33, -21, 0, -72, 12, 0, -39, -9, 0, -9, 69, 0, 21, 72, 0, -102, 72, 0, -9, -48, 0, -15, -36, 0, -12, 12, 0, -18, -225, 0, -9, -81, 0, 3, 72, 0, -21, -9, 0, 15, 36, 0, -51, 66, 0, -33, 39, 0, -57, 9, 0, -87, -18, 0, 90, -24, 0, 18, -15, 0, 27, 0, 0, -39, 18, 0, -72, 51, 0, -42, 63, 0, -33, -3, 0, 48, -33, 0, -33, 78, 0, -3, 36, 0, -54, -3, 0, -36, 60, 0, 99, -135, 0, -9, -39, 0, -108, -3, 0, -45, 54, 0, -33, 66, 0, -18, 6, 0, -123, 0, 0, 24, -9, 0, 45, -63, 0, -27, -39, 0, 6, 21, 0, -27, -9, 0, -27, -72, 0, 21, 9, 0, 45, 48, 0, -27, -9, 0, -75, 27, 0, -3, -39, 0, 39, 3, 0, 9, 81, 0, -162, -9, 0, 3, -57, 0, -27, -3, 0, -36, -99, 0, -21, 9, 0, -36, -42, 0, -75, -27, 0, 51, -9, 0, 0, -63, 0, 6, -51, 0, 96, -27, 0, -66, 27, 0, 6, -18, 0, -6, -57, 0, 9, -15, 0, 42, 45, 0, -99, -12, 0, 24, -72, 0, 30, -3, 0, -45, 36, 0, 57, -12, 0, -45, 18, 0, -21, 45, 0, 60, 93, 0, -45, -3, 0, -15, 72, 0, -33, -36, 0, 12, 168, 0, -21, -45, 0, -12, -33, 0, -75, 15, 0, -69, -48, 0, 30, -54, 0, 24, 33, 0, -72, 3, 0, -102, 6, 0, 54, -36, 0, -21, -6, 0, -21, 0, 0, -9, 45, 0, 36, 45, 0, -9, 15, 0, -66, 9, 0, -36, -63, 0, 27, -48, 0, -33, -36, 0, -168, -6, 0, 9, 78, 0, -111, 48, 0, 30, -81, 0, -45, 30, 0, -15, 63, 0, -75, 27, 0, -12, 99, 0, -78, 18, 0, -90, -138, 0, -27, 9, 0, 6, -15, 0, 90, -6, 0, 81, -12, 0, 27, -90, 0, 27, -6, 0, -108, -3, 0, -12, -54, 0, -27, 27, 0, 9, -84, 0, -9, -42, 0, 84, 138, 0, -12, -99, 0, -45, 120, 0, -15, -36, 0, -15, -96, 0, 132, 120, 0, 9, -51, 0, -9, -12, 0, -42, 54, 0, -15, -27, 0, 33, -9, 0, 21, -15, 0, -72, 33, 0, -99, -51, 0, -15, 24, 0, 9, 27, 0, -3, 18, 0, -48, 12, 0, -15, -39, 0, -108, 30, 0, -27, 36, 0, 33, -42, 0, 6, -87, 0, 6, -45, 0, -27, 15, 0, -9, 33, 0, 6, -18, 0, -27, 3, 0, 168, 36, 0, 9, -36, 0, 24, -48, 0, 30, 9, 0, 0, 93, 0, 12, -33, 0, -18, -54, 0, 9, 12, 0, -15, 9, 0, -66, 48, 0, -6, 48, 0, -87, 18, 0, 66, 69, 0, -45, 36, 0, 15, -36, 0, -51, -24, 0, 48, -12, 0, -36, -66, 0, 27, 27, 0, 117, -30, 0, -45, 21, 0, 120, -9, 0, 12, 165, 0, -30, 21, 0, -6, -12, 0, 165, -18, 0, 12, -87, 0, -156, 75, 0, -3, -63, 0, -9, -39, 0, 27, 21, 0, 207, 0, 0, -9, 135, 0, -33, -96, 0, 30, -162, 0, 45, -3, 0, 63, -36, 0, 6, -45, 0, -24, 21, 0, -21, 0, 0, -36, -36, 0, -39, 27, 0, 9, -96, 0, 9, -21, 0, -12, -72, 0, 21, 12, 0, 18, 27, 0, -57, -9, 0, 0, -72, 0, -69, 69, 0, -15, -135, 0, 6, 21, 0, -69, -30, 0, 48, -3, 0, 0, 90, 0, -138, -15, 0, -18, 87, 0, -39, -18, 0, 12, 54, 0, 0, -12, 0, -42, 126, 0, -147, -69, 0, 63, -87, 0, 21, 12, 0, 51, 63, 0, -93, -27, 0, -3, 6, 0, 30, 27, 0, -27, 141, 0, -9, 63, 0, 3, 57, 0, 42, -6, 0, 96, -102, 0, -54, -57, 0, -6, -96, 0, 156, 69, 0, -39, 0, 0, -144, 39, 0, 18, -105, 0, -27, -27, 0, 87, -36, 0, -57, 57, 0, 27, -42, 0, -96, -24, 0, 27, 51, 0, 27, -99, 0, -45, -9, 0, -84, 9, 0, 105, -99, 0, -24, 18, 0, 21, -30, 0, 45, 3, 0, -69, -78, 0, 18, 24, 0, -66, -33, 0, -72, 3, 0, 72, 60, 0, 36, 75, 0, 30, 33, 0, -27, 9, 0, -9, 147, 0, -33, -3, 0, 24, 0, 0, 93, -15, 0, -39, -42, 0, 3, -33, 0, 0, -102, 0, 48, 54, 0, -9, -9, 0, 102, -6, 0, -60, 36, 0, -243, -24, 0, 60, 162, 0, 0, -54, 0, 3, -15, 0, -60, -21, 0, -81, -60, 0, 36, -60, 0, 9, -81, 0, 132, -6, 0, 21, 39, 0, 108, -24, 0, -36, 126, 0, -36, -3, 0, 126, -45, 0, -93, -54, 0, 18, 15, 0, 48, 0, 0, 54, 84, 0, -117, 18, 0, 12, -9, 0, 21, -21, 0, 96, -51, 0, -66, 30, 0, 54, 210, 0, -18, 36, 0, 45, -12, 0, 18, -90, 0, -3, -126, 0, -99, 33, 0, 27, 15, 0, 72, -75, 0, -39, 93, 0, -24, 6, 0, -36, -189, 0, -39, -54, 0, -3, -135, 0, -36, 9, 0, -3, 120, 0, -30, 6, 0, -9, 33, 0, -36, -27, 0, -9, 12, 0, -69, 15, 0, 24, -63, 0, 21, -18, 0, 42, 75, 0, 48, 27, 0, 27, -135, 0, -9, 6, 0, 0, 18, 0, 99, 36, 0, 36, -96, 0, 33, 0, 0, 66, 45, 0, 3, -129, 0, -33, 39, 0, -117, -3, 0, 120, 54, 0, -54, 15, 0, 3, -210, 0, -96, 3, 0, 27, 93, 0, -54, -18, 0, 6, -9, 0, 12, 18, 0, -24, 132, 0, -9, -54, 0, 9, -30, 0, 90, 18, 0, -9, -87, 0, -15, 63, 0, -57, -3, 0, 54, 33, 0, -9, 153, 0, 81, 57, 0, 6, -120, 0, 159, 45, 0, 6, -108, 0, -69, -27, 0, 36, -27, 0, 42, 12, 0, 42, 48, 0, 36, -168, 0, -9, 60, 0, -36, -9, 0, 39, -81, 0, 75, -123, 0, 9, -24, 0, -117, -18, 0, 75, -129, 0, 15, -9, 0, 0, 87, 0, -51, -36, 0, -9, 120, 0, -99, -36, 0, 66, 3, 0, 105, 12, 0, 93, 84, 0, -60, -15, 0, 15, -63, 0, 39, 54, 0, -108, 15, 0, 81, -9, 0, -33, -51, 0, 30, -39, 0, -9, 0, 0, -30, 27, 0, 9, 78, 0, 15, 6, 0, 72, -6, 0, 126, -3, 0, 39, -108, 0, 87, 0, 0, 81, 81, 0, 27, -111, 0, 3, -69, 0, -117, 39, 0, -36, 21, 0, -138, 0, 0, 0, 99, 0, 45, 9, 0, -15, 129, 0, 12, 45, 0, 3, 27, 0, 63, -69, 0, -87, 57, 0, 132, 39, 0, 9, 180, 0, -21, -27, 0, -3, -78, 0, -21, 15, 0, 48, 39, 0, -63, 63, 0, 120, 18, 0, 99, 72, 0, 6, 9, 0, 69, 48, 0, 30, -18, 0, 126, -42, 0, 15, 33, 0, -9, 39, 0, 129, 39, 0, 39, -111, 0, 3, -96, 0, -18, 0, 0, -6, 99, 0, -219, -18, 0, 0, -87, 0, 96, -27, 0, 0, -123, 0, -123, -9, 0, 69, 24, 0, 12, 18, 0, 36, 45, 0, -84, 3, 0, -6, 42, 0, 48, -27, 0, -33, 9, 0, 6, -87, 0, 78, -84, 0, 45, -9, 0, 30, 69, 0, 87, -69, 0, 24, -159, 0, 3, -12, 0, 99, 90, 0, 90, 75, 0, -6, -18, 0, 87, -12, 0, -75, -54, 0, 99, 45, 0, 27, 33, 0, 51, 12, 0, -27, -12, 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": "1338.2.a.e", "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, 0], [1, 0, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 0, 0], [-1, 1, -1], [-1, 0, 0], [0, 0, 0], [-1, -1, 0], [0, -1, -1], [0, 0, 0], [-3, -1, 2], [1, -1, 1], [0, 0, 0], [1, 0, 0], [2, -3, 0], [0, 0, 0], [-1, 0, -1], [1, 1, 0], [0, 0, 0], [0, 1, 1], [2, 3, -1], [0, 0, 0], [-2, 2, 1], [3, 1, -2], [0, 0, 0], [-1, 1, -1], [1, -1, 5], [0, 0, 0], [-3, -4, 3], [-1, 0, 0], [0, 0, 0], [-2, 3, 0], [0, -1, 0], [0, 0, 0], [-2, 3, -7], [1, 0, 1], [0, 0, 0], [-1, -1, 0], [2, 4, -3], [0, 0, 0], [0, 0, 3], [0, -1, -1], [0, 0, 0], [-2, -3, 1], [5, -1, 6], [0, 0, 0], [-4, -3, 2], [2, -2, -1], [0, 0, 0], [-3, -1, 2], [3, -6, -1], [0, 0, 0], [-3, -2, -2], [1, -1, 1], [0, 0, 0], [-1, 1, -5], [-2, 3, -2], [0, 0, 0], [-5, -3, 1], [3, 4, -3], [0, 0, 0], [1, 0, 0], [-3, -2, 1], [0, 0, 0], [-1, -5, 8], [2, -3, 0], [0, 0, 0], [0, 1, 0], [-3, 0, 0], [0, 0, 0], [-4, 3, -2], [2, -3, 7], [0, 0, 0], [-1, 0, -1], [0, 2, -1], [0, 0, 0], [0, 1, -3], [1, 1, 0], [0, 0, 0], [-2, -4, 3], [-1, -6, -1], [0, 0, 0], [-4, -1, -3], [0, 0, -3], [0, 0, 0], [0, 1, 1], [-1, -7, 1], [0, 0, 0], [0, -1, 2], [2, 3, -1], [0, 0, 0], [-5, 1, -6], [-2, -2, -1], [0, 0, 0], [-9, 0, -3], [4, 3, -2], [0, 0, 0], [-2, 2, 1]]}