# Stored data for newform 4002.2.a.bb, downloaded from the LMFDB on 20 April 2024.
{"label": "4002.2.a.bb", "space_label": "4002.2.a", "level": 4002, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972561826, "dim": 4, "is_polredabs": true, "nf_label": "4.4.23252.1", "trace_hash": 2099511831913792508, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [14, -9, -7, 3, 1]], [7, [64, -4, -20, 2, 1]], [11, [2, 45, 39, 11, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+(-1+\\beta _{3})q^{5}-q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16008, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 31.95613088891641, "hecke_ring_index": 1, "level_radical": 4002, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [4002, 1, [2669, 3133, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 23, 29], "conrey_indexes": [1], "field_disc": 23252, "field_disc_factorization": [[2, 2], [5813, 1]], "field_poly": [2, 0, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.751", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "38.776", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "626.640", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [23, -1], [29, 1]], "trace_display": [-4, 4, -3, -2], "traces": [0, 4, -4, 4, 4, -3, -4, -2, -4, 4, 3, -11, 4, -1, 2, -3, 4, 2, -4, 8, -3, -2, 11, 4, -4, 3, 1, 4, -2, -4, 3, -17, -4, -11, -2, -24, 4, 15, -8, -1, 3, 1, 2, 4, -11, -3, -4, 6, 4, 16, -3, 2, -1, 2, -4, 13, 2, 8, 4, -13, -3, -13, 17, -2, 4, -13, 11, -13, 2, 4, 24, -15, -4, -22, -15, 3, 8, -12, 1, -26, -3, 4, -1, -22, -2, 24, -4, -4, 11, -24, 3, 30, 4, -17, -6, -4, -4, -8, -16, -11, 3, -9, -2, -17, 1, -24, -2, -18, 4, -12, -13, 15, -2, 2, -8, -3, -4, -1, 13, -44, 3, -1, 13, 1, -17, -33, 2, -33, -4, 4, 13, -28, -11, -20, 13, -3, -2, 22, -4, 2, -24, 6, 15, -13, 4, 3, 22, 16, 15, -27, -3, -28, -8, 2, 12, 17, -1, 24, 26, 2, 3, -2, -4, -9, 1, 13, 22, 11, 2, -5, -24, 8, 4, -4, 4, 44, -11, -13, 24, -28, -3, 52, -30, -13, -4, -15, 17, 12, 6, -2, 4, -1, 4, -30, 8, -13, 16, -48, 11, -17, -3, -13, 9, 2, 2, -19, 17, 4, -1, -8, 24, 33, 2, -15, 18, 10, -4, 14, 12, -22, 13, -30, -15, -12, 2, 3, -2, -38, 8, -3, 3, -12, 4, 10, 1, -12, -13, -26, 44, -19, -3, -4, 1, 4, -13, 25, -1, -66, 17, -22, 33, -29, -2, -11, 33, 24, 4, -16, -4, -36, -13, -4, 28, -8, 11, -26, 20, -24, -13, 17, 3, 17, 2, 30, -22, -8, 4, -13, -2, -17, 24, -34, -6, 33, -15, -4, 13, -14, -4, -24, -3, -8, -22, 4, -16, 33, -15, -11, 27, -1, 3, 52, 28, -9, 8, 5, -2, 49, -12, -17, -17, 38, 1, -50, -24, -24, -26, 31, -2, 11, -3, -18, 2, 20, 4, 42, 9, -12, -1, 16, -13, 32, -22, 15, -11, -61, -2, 35, 5, 2, 24, 37, -8, -88, -4, -3, 4, -32, -4, -39, -44, -1, 11, 8, 13, 71, -24, -44, 28, 4, 3, 52, -52, -1, 30, 74, 13, 24, 4, 1, 15, -4, -17, 6, -12, -33, -6, 1, 2, 2, -4, -33, 1, -28, -4, 58, 30, 4, -8, 30, 13, 2, -16, -28, 48, 26, -11, -16, 17, -20, 3, 29, 13, -11, -9, -3, -2, -9, -2, 48, 19, 22, -17, -58, -4, -26, 1, 2, 8, -22, -24, -33, -33, 6, -2, -44, 15, 24, -18, -13, -10, 24, 4, 80, -14, 3, -12, 8, 22, -54, -13, 16, 30, -2, 15, -34, 12, -27, -2, -59, -3, 29, 2, -28, 38, 8, -8, -10, 3, 2, -3, -93, 12, -24, -4, 17, -10, -11, -1, 72, 12, 24, 13, -78, 26, -34, -44, 2, 19, -61, 3, 11, 4, -2, -1, -46, -4, -88, 13, -9, -25, -26, 1, -2, 66, 13, -17, -30, 22, -2, -33, 11, 29, 0, 2, -25, 11, -5, -33, -32, -24, -48, -4, 8, 16, 41, 4, -28, 36, -4, 13, 18, 4, -1, -28, 44, 8, -14, -11, 4, 26, -13, -20, -51, 24, 24, 13, -28, -17, 13, -3, -48, -17, 52, -2, -6, -30, 36, 22, -13, 8, -8, -4, 40, 13, -15, 2, -41, 17, 66, -24, 12, 34, 33, 6, -94, -33, -2, 15, 94, 4, 65, -13, -1, 14, 3, 4, -46, 24, -30, 3, 108, 8, 22, 22, -13, -4, -72, 16, 2, -33, -48, 15, -26, 11, -4, -27, -17, 1, -44, -3, -12, -52, -13, -28, -14, 9, 8, -8, 2, -5, -34, 2, -12, -49, -19, 12, 54, 17, -10, 17, 4, -38, 68, -1, 22, 50, -8, 24, 36, 24, -65, 26, 33, -31, -7, 2, -129, -11, -15, 3, 68, 18, 58, -2, 10, -20, -27, -4, 77, -42, 14, -9, 13, 12, -46, 1, -22, -16, 4, 13, 22, -32, -30, 22, -60, -15, -4, 11, -12, 61, 23, 2, 12, -35, 3, -5, 84, -2, 60, -24, -38, -37, -81, 8, 28, 88, -3, 4, 28, 3, 114, -4, -12, 32, -8, 4, 14, 39, 10, 44, 81, 1, -28, -11, -12, -8, 58, -13, 60, -71, -26, 24, -17, 44, 7, -28, -19, -4, 31, -3, -36, -52, -4, 52, -3, 1, 28, -30, 4, -74, -52, -13, 49, -24, 25, -4, 41, -1, -15, -15, -66, 4, 11, 17, 25, -6, -22, 12, 4, 33, 20, 6, -29, -1, 76, -2, 31, -2, -11, 4, -20, 33, 44, -1, 24, 28, -75, 4, -19, -58, -16, -30, -32, -4, -56, 8, -36, -30, 90, -13, 19, -2, -4, 16, 30, 28, 49, -48, -8, -26, 136, 11, 19, 16, -26, -17, -104, 20, -16, -3, -24, -29, 62, -13, -24, 11, 17, 9, 19, 3, -24, 2, 17, 9, 109, 2, -72, -48, 30, -19, -62, -22, -53, 17, -8, 58, 1, 4, 114, 26, -13, -1, 102, -2, -21, -8, -17, 22, 29, 24, 4, 33, -34, 33, 62, -6, 76, 2, 33, 44, 15, -15, -50, -24, -4, 18, -56, 13, 44, 10, -14, -24, 91, -4, -44, -80, -24, 14, 38, -3, 75, 12, -8, -8, 56, -22, 28, 54, 4, 13, 124, -16, 116, -30, 33, 2, -52, -15, 70, 34, -11, -12, 96, 27, -12, 2, -1, 59, 17, 3, 4, -29, 52, -2, 94, 28, 28, -38, -9, -8, -43, 8, 6, 10, 5, -3, 108, -2, 53, 3, 49, 93, 27, -12, 98, 24, -17, 4, 20, -17, 188, 10, 38, 11, -58, 1, 2, -72, -50, -12, -11, -24, 1, -13, -24, 78, 36, -26, -20, 34, 31, 44, -14, -2, -39, -19, 11, 61, -124, -3, -17, -11, -18, -4, 94, 2, 12, 1, 20, 46, 17, 4, -28, 88, 42, -13, 103, 9, 62, 25, -12, 26, 7, -1, 114, 2, 16, -66, 4, -13, -144, 17, 32, 30, 45, -22, -28, 2, 15, 33, 8, -11, 58, -29, -61, 0, -56, -2, -30, 25, 35, -11, 44, 5, 24, 33, 2, 32, -14, 24, 20, 48, 37, 4, 50, -8, 40, -16, -88, -41, 80, -4, 40, 28, -3, -36, -24, 4, -40, -13, -32, -18, -4, -4, 70, 1, -39, 28, 71, -44, 36, -8, -1, 14, 71, 11, -104, -4, 8, -26, 100, 13, 32, 20, 71, 51, 18, -24, 106, -24, -44, -13, -15, 28, -90, 17, 4, -13, 34, 3, 6, 48, 52, 17, 116, -52, 17, 2, -1, 6, -21, 30, 21, -36, 74, -22, -12, 13, -36, -8, 24, 8, 32, 4, -8, -40, 1, -13, -25, 15, 3, -2, -4, 41, -10, -17, 8, -66, 6, 24, 66, -12, 88, -34, -33, -33, 16, -6, 30, 94, 1, 33, 63, 2, 22, -15, 2, -94, -72, -4, -130, -65, -33, 13, -31, 1, -143, -14, -28, -3, -56, -4, 99, 46, 58, -24, 128, 30, -40, -3, 4, -108, 94, -8, 80, -22, 30, -22, 54, 13, 26, 4, 2, 72, -36, -16, 44, -2, -28, 33, 36, 48, -140, -15, 26, 26, -53, -11, -1, 4, -16, 27, 122, 17, 61, -1, -20, 44, 10, 3, 37, 12, 29, 52, 140, 13, 30, 28, -11, 14, -20, -9, 126, -8, -3, 8, -18, -2, 2, 5, -9, 34, 69, -2, -73, 12, 48, 49, 84, 19, -58, -12, 22, -54, -64, -17, -98, 10, -58, -17, 48, -4, -50, 38, -26, -68, -4, 1, 32, -22, 2, -50, 76, 8, 33, -24, -22, -36, 44, -24, 124, 65, -33, -26, 13, -33, -168, 31, 6, 7, -17, -2, -104, 129, -44, 11, -106, 15, -50, -3, 24, -68, 23, -18, -40, -58, -13, 2, 66, -10, 19, 20, 24, 27, -126, 4, 0, -77, 80, 42, 62, -14, -50, 9, 3, -13, -156, -12, 64, 46, 8, -1, 111, 22, -56, 16, -54, -4, 68, -13, -160, -22, 16, 32, 134, 30, 2, -22, -2, 60, 63, 15, 50, 4, -34, -11, 96, 12, 23, -61, -27, -23, -40, -2, 83, -12, -59, 35, -114, -3, -36, 5, 29, -84, -69, 2, -13, -60, -28, 24, 13, 38, -6, 37, 8, 81, 32, -8, 99, -28, -10, -88, -51, 3, 39, -4, 2, -28, 0, -3, 32, -114, -93, 4, 103, 12, -52, -32, -24, 8, -90, -4, -68, -14, 17, -39, 69, -10, -81, -44, -11, -81, -13, -1, 14, 28, 72, 11, 163, 12, -108, 8, 24, -58, -117, 13, -62, -60, -78, 71, -16, 26, -120, -24, -34, 17, 72, -44, 24, -7, 2, 28, 16, 19, -56, 4, -61, -31, -2, 3, 50, 36, 11, 52, 55, 4, -74, -52, -2, 3, -19, -1, 94, -28, -46, 30, 30, -4, 118, 74, -88, 52, -104, 13, -4, -49, -9, 24, 86, -25, 82, 4, -26, -41, -52, 1, -102, 15, -2, 15, -128, 66, 111, -4, 13, -11, -168, -17, -13, -25, -30, 6, -170, 22, -13, -12, -2, -4, -71, -33, -92, -20, 11, -6, 56, 29, 8, 1, 0, -76, -48, 2, -68, -31, -25, 2, 61, 11, -57, -4, -5, 20, -80, -33, -10, -44, -32, 1, 28, -24, -16, -28, -48, 75, -157, -4, -2, 19, 8, 58, -13, 16, -38, 30, 41, 32, 136, 4, 52, 56, -28, -8, -68, 36, 64, 30, -4, -90, -20, 13, 0, -19, 18, 2, 82, 4, 12, -16, -1, -30, 6, -28, 48, -49, 44, 48, -4, 8, 47, 26, -14, -136, -57, -11, -93, -19, 4, -16, 68, 26, -186, 17, -13, 104, -13, -20, -160, 16, -51, 3, -127, 24, 48, 29, 24, -62, 64, 13, 87, 24, -28, -11, 36, -17, 60, -9, 13, -19, 33, -3, -100, 24, -48, -2, -37, -17, -28, -9, 52, -109, -64, -2, -15, 72, -6, 48, 12, -30, 87, 19, 36, 62, -92, 22, -32, 53, -13, -17, -60, 8, 117, -58, -8, -1, -108, -4, -53, -114, 40, -26, 140, 13, -100, 1, -15, -102, 12, 2, -31, 21, -41, 8, -6, 17, 214, -22, 66, -29, -22, -24, -13, -4, 12, -33, 153, 34, -248, -33, 33, -62, -236, 6, -23, -76, -94, -2, 40, -33, 86, -44, -2, -15, 64, 15, -43, 50, 94, 24, -134, 4, 13, -18, 65, 56, 52, -13, -58, -44, -1, -10, 112, 14, 42, 24, 3, -91, -90, 4, 256, 44, -46, 80, 30, 24, 60, -14, -30, -38, -100, 3, -47, -75, 108, -12, 87, 8, -2, 8, 22, -56, 36, 22, 68, -28, -13, -54, 24, -4, -86, -13, -72, -124, -226, 16, -4, -116, 2, 30, 13, -33, -12, -2, -48, 52, -152, 15, 2, -70, -26, -34, -98, 11, 116, 12, -4, -96, 80, -27, -40, 12, -17, -2, 57, 1, -128, -59, -44, -17, 64, -3, 159, -4, -12, 29, 117, -52, -34, 2, -13, -94, 50, -28, 95, -28, -14, 38, -26, 9, -4, 8, 8, 43, -13, -8, -154, -6, 2, -10, 51, -5, -10, 3, -34, -108, -22, 2, -77, -53, -12, -3, 20, -49, -204, -93, -19, -27, 66, 12, 260, -98, 54, -24, -44, 17, -64, -4, -10, -20, 98, 17, -94, -188, 4, -10, 6, -38, -132, -11, 68, 58, -74, -1, 12, -2, 22, 72, -30, 50, 16, 12, -8, 11, -170, 24, 13, -1, 36, 13, -36, 24, 65, -78, -65, -36, 190, 26, 118, 20, 33, -34, -86, -31, 80, -44, -7, 14, 60, 2, -22, 39, -129, 19, 34, -11, 14, -61, -15, 124, -182, 3, -136, 17, 68, 11, -60, 18, 26, 4, 58, -94, -132, -2, -54, -12, 10, -1, -9, -20, -214, -46, -27, -17, 13, -4, -224, 28, 77, -88, 99, -42, 18, 13, 14, -103, 24, -9, -116, -62, 13, -25, 202, 12, -180, -26, -46, -7, 68, 1, 48, -114, -22, -2, 108, -16, -66, 66, 4, -4, -21, 13, 60, 144, 22, -17, -6, -32, -84, -30, -30, -45, -134, 22, -101, 28, -60, -2, 5, -15, 22, -33, -4, -8, -82, 11, -43, -58, -12, 29, 169, 61, 4, 0, 23, 56, 93, 2, -292, 30, 12, -25, 60, -35, -82, 11, 3, -44, -28, -5, -60, -24, 84, -33, 148, -2, 13, -32, 60, 14, 52, -24, 0, -20, -38, -48, -108, -37, -24, -4, -81, -50, 44, 8, -68, -40, 28, 16, -76, 88, 15, 41, -3, -80, 49, 4, 60, -40, 28, -28, 164, 3, 144, 36, 114, 24, -12, -4, -27, 40, -12, 13, 185, 32, 34, 18, -8, 4, -124, 4, 22, -70, 14, -1, 30, 39, -106, -28, 10, -71, -56, 44, -53, -36, 81, 8, -29, 1, -252, -14, -28, -71, -97, -11, -42, 104, -12, 4, 22, -8, -3, 26, 58, -100, 62, -13, -56, -32, 60, -20, 27, -71, -58, -51, -26, -18, 86, 24, -30, -106, -17, 24, -46, 44, -40, 13, 7, 15, -32, -28, 134, 90, -19, -17, -30, -4, 94, 13, 31, -34, -70, -3, -63, -6, -36, -48, -66, -52, 78, -17, -4, -116, -19, 52, 76, -17, -3, -2, -232, 1, 71, -6, 28, 21, 1, -30, -4, -21, 4, 36, 91, -74, -88, 22, -52, 12, 94, -13, -125, 36, 49, 8, 85, -24, 14, -8, 25, -32, 95, -4, -72, 8, 41, 40, 21, -1, 32, 13, -15, 25, -18, -15, -90, -3, -66, 2, 200, 4, -108, -41, 11, 10, -8, 17, 12, -8, 25, 66, 40, -6, -34, -24, -22, -66, -78, 12, 145, -88, 4, 34, -6, 33, -106, 33, 20, -16, 77, 6, -81, -30, -29, -94, -244, -1, 116, -33, 76, -63, -28, -2, -50, -22, 31, 15, -110, -2, -16, 94, -11, 72, -212, 4, -136, 130, -20, 65, -92, 33, 35, -13, 44, 31, 26, -1, -138, 143, 24, 14, -33, 28, -22, 3, -75, 56, 66, 4, 133, -99, -19, -46, 159, -58, 31, 24, -16, -128, -14, -30, 132, 40, -32, 3, -101, -4, -9, 108, -56, -94, 4, 8, 124, -80, -36, 22, -14, -30, -27, 22, 90, -54, 16, -13, -78, -26, 19, -4, 2, -2, 113, -72, -4, 36, 29, 16, -126, -44, 30, 2, -60, 28, -228, -33, 49, -36, 28, -48, -26, 140, -8, 15, -17, -26, 130, -26, 136, 53, 64, 11, -117, 1, 19, -4, 45, 16, -235, -27, -26, -122, 4, -17, 4, -61, -104, 1, 53, 20, -5, -44, -16, -10, 123, -3, 120, -37, -24, -12, -153, -29, 22, -52, 62, -140, 40, -13, -230, -30, -24, -28, 123, 11, 111, -14, 17, 20, 121, 9, 212, -126, 19, 8, -32, 3, -8, -8, -24, 18, 146, 2, -56, -2, 17, -5, 144, 9, -2, -34, 109, -69, -146, 2, 144, 73, -72, -12, 58, -48, 76, -49, 30, -84, -74, -19, -18, 58, -62, 12, -24, -22, 69, 54, -53, 64, -20, 17, 128, 98, -8, -10, -80, 58, 121, 17, 1, -48, 77, 4, 172, 50, 114, -38, -76, 26, -112, 68, -13, 4, 110, -1, 62, -32, 102, 22, -35, -2, 63, 50, -21, -76, -12, -8, 48, -33, -17, 24, 0, 22, 0, 36, 29, -44, -5, 24, -104, -124, 4, -65, 122, 33, -270, 26, -34, -13, 10, 33, 4, 168, 62, -31, -214, -6, 54, -7, 76, 17, -244, 2, 44, 104, 33, -129, -32, 44, 117, -11, 15, 106, 188, -15, -159, 50, -50, 3, 86, -24, -56, 68, -4, -23, 104, 18, 20, 40, -56, 58, 174, 13, -18, -2, 44, -66, -206, 10, 24, -19, -14, -20, 86, -24, -105, -27, 91, 126, -93, -4, 117, 0, -44, 77, 6, -80, 2, -42, -24, -62, 116, 14, -2, 50, 38, -9, 99, -3, -8, 13, 75, 156, 95, 12, -88, -64, -8, -46, -84, -8, 54, 1, 56, -111, -121, -22, 21, 56, 28, -16, 151, 54, -116, 4, 4, -68, -30, 13, 44, 160, 124, 22, -3, -16, -25, -32, 116, -134, 124, -30, -248, -2, 33, 22, 7, 2, 246, -60, -52, -63, -1, -15, -135, -50, 70, -4, 36, 34, -148, 11, -11, -96, -140, -12, -4, -23, 96, 61, 108, 27, 66, 23, -12, 40, 55, 2, 31, -83, -1, 12, 28, 59, 9, -35, 17, 114, -128, 3, -126, 36, 4, -5, -50, -29, -31, 84, 52, 69, -39, -2, -10, 13, 94, 60, 72, 28, 98, -24, 28, -13, 192, -38, -90, 6, -9, -37, 108, -8, -29, -81, -43, -32, -244, 8, -44, -99, 6, 28, -108, 10, -109, 88, 5, 51, 77, -3, 75, -39, 108, 4, -175, -2, 4, 28, 53, 0, -12, 3, 59, -32, 49, 114, 196, 93, 22, -4, 27, -103, 130, -12, -10, 52, 98, 32, -75, 24, 32, -8, -17, 90, -1, 4, 117, 68, 20, 14, 18, -17, -138, 39, 188, -69, 214, 10, -118, 81, 38, 44, -27, 11, 92, 81, -58, 13, -140, 1, 8, -14, 2, -28, 8, -72, -157, -11, -50, -163, 167, -12, -150, 108, -11, -8, 184, -24, 40, 58, 1, 117, -40, -13, -43, 62, -24, 60, 140, 78, -54, -71, 36, 16, -304, -26, -64, 120, -20, 24, 70, 34, -98, -17, 31, -72, -63, 44, 149, -24, -14, 7, -16, -2, 148, -28, -39, -16, -8, -19, 200, 56, 11, -4, 140, 61, -33, 31, -124, 2, 30, -3, -186, -50, -17, -36, -34, -11, -142, -52, -18, -55, 187, -4, 68, 74, 94, 52, 40, 2, 128, -3, 12, 19, 101, 1, 144, -94, 20, 28, 71, 46, -191, -30, 17, -30, 24, 4, -60, -118, -28, -74, -33, 88, -198, -52, 42, 104, -104, -13, 9, 4, 103, 49, 72, 9, -80, -24, 62, -86, 210, 25, 20, -82, -12, -4, -36, 26, 104, 41, 7, 52, -86, -1, 133, 102, 114, -15, -170, 2, 19, -15, 16, 128, 156, -66, -132, -111, 4, 4, 0, -13, -32, 11, -144, 168, 52, 17, 173, 13, 32, 25, -117, 30, 12, -6, 45, 170, 17, -22, -109, 13, -28, 12, -92, 2, 166, 4, 15, 71, 36, 33], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "4002.2.a.bb", "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, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 1], [-1, 0, 0, 0], [0, -1, 0, -1], [-1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, -1], [-3, 1, 0, 0], [1, 0, 0, 0], [0, -1, -1, 0], [0, 1, 0, 1], [-1, 0, 0, 1], [1, 0, 0, 0], [0, 1, 0, 1], [-1, 0, 0, 0], [2, 1, 2, -1], [-1, 0, 0, 1], [0, -1, 0, -1], [3, -1, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [1, 1, -1, -2], [0, 1, 1, 0], [1, 0, 0, 0], [0, -1, 0, -1], [-1, 0, 0, 0], [1, 0, 0, -1], [-4, -1, 1, 0], [-1, 0, 0, 0], [-3, 1, 0, 0], [0, -1, 0, -1], [-6, -1, 0, 1], [1, 0, 0, 0], [3, 3, -2, 0], [-2, -1, -2, 1], [0, -1, -1, 0], [1, 0, 0, -1], [0, 3, 1, -2], [0, 1, 0, 1], [2, -6, 0, 2], [-3, 1, 0, 0], [-1, 0, 0, 1], [-1, 0, 0, 0], [2, -1, 2, -1], [1, 0, 0, 0], [3, 4, 2, 0], [-1, -1, 1, 2], [0, 1, 0, 1], [0, -1, -1, 0], [0, 3, -2, -1], [-1, 0, 0, 0], [4, 0, 1, -3], [0, 1, 0, 1], [2, 1, 2, -1], [1, 0, 0, 0], [-4, 3, 1, 0], [-1, 0, 0, 1], [-3, -1, 0, 0], [4, 1, -1, 0], [0, -1, 0, -1], [1, 0, 0, 0], [-3, -3, 0, 2], [3, -1, 0, 0], [-3, 2, -2, -3], [0, 1, 0, 1], [1, 0, 0, 0], [6, 1, 0, -1], [-4, -3, -1, 4], [-1, 0, 0, 0], [-6, -1, 0, 3], [-3, -3, 2, 0], [1, 1, -1, -2], [2, 1, 2, -1], [-4, 1, -2, 3], [0, 1, 1, 0], [-6, -3, 0, 1], [-1, 0, 0, 1], [1, 0, 0, 0], [0, -3, -1, 2], [-4, -4, 2, -2], [0, -1, 0, -1], [6, 1, 0, -1], [-2, 6, 0, -2], [-1, 0, 0, 0], [3, -1, 0, 0], [-6, 1, -4, -1], [1, 0, 0, -1], [6, 7, 2, -1], [1, 0, 0, 0], [-4, -1, 1, 0], [-2, 1, -2, 1], [-2, 5, 0, -1], [-1, 0, 0, 0], [-2, 1, -4, -1], [-3, -4, -2, 0], [-3, 1, 0, 0], [1, 1, -1, -2]]}