# Stored data for newform 1334.2.a.g, downloaded from the LMFDB on 18 April 2024.
{"label": "1334.2.a.g", "space_label": "1334.2.a", "level": 1334, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797778742, "dim": 5, "is_polredabs": true, "nf_label": "5.5.978400.1", "trace_hash": 1590325802893784414, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [20, 40, 5, -13, -1, 1]], [5, [-10, -10, 25, -7, -3, 1]]], "qexp_display": "q-q^{2}+(\\beta _{1}-\\beta _{2})q^{3}+q^{4}+(\\beta _{1}+\\beta _{4})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5336, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 10.652043629638802, "hecke_ring_index": 1, "level_radical": 1334, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [1334, 1, [465, 553], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 23, 29], "conrey_indexes": [1], "field_disc": 978400, "field_disc_factorization": [[2, 5], [5, 2], [1223, 1]], "field_poly": [2, 14, 6, -7, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "4.592", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.061", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1107.902", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [23, -1], [29, 1]], "trace_display": [-5, 1, 3, 4], "traces": [0, 5, -5, 1, 5, 3, -1, 4, -5, 12, -3, 3, 1, -3, -4, 1, 5, -4, -12, 14, 3, 10, -3, 5, -1, -2, 3, 19, 4, -5, -1, 7, -5, -1, 4, -10, 12, 2, -14, 17, -3, 4, -10, -9, 3, 6, -5, -13, 1, -11, 2, -6, -3, 11, -19, -3, -4, 10, 5, 2, 1, 50, -7, 4, 5, 11, 1, 22, -4, 1, 10, 2, -12, 40, -2, -20, 14, -26, -17, -3, 3, 13, -4, -18, 10, 22, 9, -1, -3, 12, -6, -14, 5, 3, 13, 10, -1, 0, 11, 46, -2, 48, 6, 12, 3, 8, -11, -30, 19, 19, 3, -20, 4, -6, -10, 3, -5, 18, -2, -2, -1, 40, -50, -38, 7, -15, -4, 20, -5, 11, -11, 24, -1, 26, -22, -13, 4, -2, -1, 28, -10, 11, -2, 25, 12, -3, -40, 9, 2, -11, 20, 16, -14, -4, 26, 9, 17, 8, 3, 17, -3, 4, -13, 11, 4, 25, 18, -24, -10, -34, -22, -12, -9, 42, 1, 4, 3, 34, -12, -6, 6, 1, 14, -4, -5, 20, -3, -60, -13, 66, -10, -4, 1, 8, 0, 7, -11, -18, -46, 42, 2, -20, -48, -4, -6, 46, -12, 12, -3, -32, -8, 31, 11, -54, 30, -7, -19, 34, -19, 22, -3, -4, 20, 0, -4, -70, 6, -10, 10, 2, -3, -8, 5, -67, -18, 33, 2, 15, 2, -12, 1, 15, -40, -12, 50, -33, 38, -16, -7, -66, 15, -15, 4, 3, -20, -68, 5, -41, -11, 8, 11, -12, -24, -37, 1, 31, -26, -134, 22, -22, 13, -31, -4, 0, 2, -40, 1, 72, -28, -22, 10, 17, -11, 24, 2, 30, -25, -32, -12, 11, 3, -116, 40, -28, -9, -58, -2, -47, 11, -3, -20, -6, -16, -30, 14, 28, 4, 31, -26, -48, -9, 4, -17, -73, -8, -32, -3, 36, -17, -3, 3, -14, -4, -22, 13, -24, -11, 29, -4, -34, -25, -33, -18, 24, 24, 20, 10, -6, 34, -26, 22, -89, 12, -10, 9, 1, -42, 16, -1, -39, -4, -17, -3, -50, -34, -42, 12, 66, 6, -15, -6, -3, -1, 14, -14, 26, 4, -12, 5, 40, -20, 26, 3, -31, 60, 7, 13, 3, -66, 76, 10, -12, 4, -56, -1, -44, -8, -74, 0, -10, -7, -4, 11, -4, 18, -15, 46, 23, -42, -30, -2, -17, 20, -31, 48, 15, 4, -76, 6, 30, -46, 16, 12, 28, -12, -58, 3, -66, 32, 42, 8, 78, -31, -86, -11, -4, 54, 32, -30, 63, 7, -8, 19, 56, -34, -1, 19, 14, -22, -4, 3, 8, 4, -44, -20, -2, 0, -33, 4, 34, 70, -18, -6, 72, 10, 20, -10, 2, -2, -18, 3, 30, 8, 24, -5, -23, 67, 29, 18, 2, -33, -70, -2, 7, -15, 40, -2, -66, 12, -11, -1, -28, -15, 10, 40, -48, 12, 80, -50, 53, 33, -27, -38, 4, 16, 130, 7, 8, 66, -20, -15, 64, 15, 61, -4, 50, -3, -4, 20, 3, 68, 40, -5, 90, 41, -64, 11, -5, -8, -14, -11, -51, 12, -50, 24, -76, 37, 52, -1, 5, -31, 60, 26, -6, 134, -22, -22, -12, 22, -23, -13, 20, 31, -157, 4, 127, 0, 6, -2, 48, 40, -14, -1, -30, -72, -110, 28, -6, 22, 17, -10, -102, -17, -57, 11, 102, -24, 56, -2, 22, -30, -12, 25, -48, 32, -2, 12, -52, -11, 128, -3, 12, 116, -79, -40, 22, 28, -2, 9, 60, 58, -18, 2, 41, 47, 58, -11, -62, 3, -43, 20, -16, 6, 72, 16, 162, 30, 55, -14, -10, -28, 45, -4, -73, -31, -124, 26, -24, 48, 37, 9, 19, -4, -30, 17, -49, 73, 100, 8, 134, 32, 68, 3, 49, -36, -76, 17, -9, 3, -32, -3, 28, 14, -72, 4, 77, 22, -116, -13, 74, 24, 28, 11, -18, -29, -72, 4, 168, 34, 35, 25, 22, 33, -82, 18, -10, -24, -5, -24, 84, -20, 44, -10, -69, 6, -16, -34, 84, 26, 8, -22, -84, 89, 88, -12, -32, 10, 140, -9, -9, -1, -12, 42, -100, -16, 42, 1, 130, 39, 23, 4, 65, 17, -34, 3, 45, 50, -26, 34, -7, 42, 58, -12, 7, -66, 69, -6, 70, 15, 46, 6, 28, 3, -5, 1, 2, -14, -16, 14, -63, -26, -72, -4, 42, 12, -15, -5, 22, -40, -7, 20, 60, -26, 68, -3, -39, 31, -112, -60, -4, -7, 20, -13, -43, -3, -24, 66, 26, -76, -1, -10, -82, 12, -72, -4, -88, 56, 6, 1, 46, 44, 29, 8, -30, 74, 36, 0, 140, 10, -58, 7, 14, 4, -19, -11, -90, 4, 28, -18, -47, 15, -76, -46, -36, -23, 41, 42, 102, 30, -20, 2, -108, 17, 10, -20, -10, 31, -20, -48, -6, -15, 48, -4, -135, 76, 39, -6, 40, -30, 4, 46, 67, -16, -6, -12, 48, -28, -31, 12, 26, 58, -20, -3, 22, 66, -48, -32, 85, -42, -25, -8, 5, -78, -51, 31, -52, 86, -62, 11, -98, 4, 2, -54, 88, -32, -40, 30, 87, -63, 9, -7, 128, 8, 36, -19, -2, -56, 15, 34, 123, 1, -22, -19, -108, -14, 62, 22, -137, 4, 82, -3, -22, -8, -12, -4, 78, 44, 113, 20, 36, 2, -101, 0, 32, 33, 44, -4, 17, -34, -7, -70, -6, 18, -148, 6, -31, -72, -48, -10, 100, -20, 65, 10, -58, -2, 74, 2, 54, 18, 86, -3, -63, -30, -62, -8, -20, -24, 72, 5, -14, 23, -54, -67, -120, -29, -106, -18, 46, -2, -65, 33, -45, 70, 4, 2, -36, -7, 35, 15, -18, -40, 78, 2, 27, 66, 116, -12, 1, 11, -30, 1, -52, 28, -104, 15, 24, -10, 49, -40, -10, 48, 0, -12, -16, -80, 0, 50, 39, -53, 8, -33, 58, 27, -121, 38, 66, -4, -152, -16, -9, -130, 30, -7, -99, -8, 134, -66, -20, 20, 0, 15, -6, -64, -112, -15, -46, -61, 138, 4, 59, -50, -142, 3, 86, 4, 10, -20, -40, -3, -36, -68, 67, -40, -27, 5, -32, -90, 45, -41, -18, 64, -38, -11, -28, 5, 6, 8, -114, 14, -16, 11, -76, 51, 14, -12, -120, 50, 77, -24, 88, 76, 44, -37, -11, -52, -53, 1, 16, -5, -22, 31, -108, -60, -31, -26, 2, 6, -44, -134, -74, 22, 64, 22, -2, 12, 56, -22, -105, 23, -78, 13, -13, -20, -59, -31, 24, 157, -15, -4, 42, -127, 85, 0, 138, -6, -56, 2, 7, -48, 56, -40, -24, 14, -40, 1, -126, 30, -94, 72, -15, 110, 140, -28, -92, 6, 12, -22, 28, -17, 19, 10, -16, 102, -160, 17, -78, 57, -11, -11, 48, -102, -17, 24, 44, -56, -132, 2, -52, -22, 24, 30, 22, 12, 144, -25, 60, 48, 80, -32, -126, 2, 98, -12, -141, 52, 46, 11, -104, -128, 198, 3, -19, -12, 41, -116, 9, 79, -154, 40, -16, -22, -51, -28, -6, 2, 60, -9, -78, -60, 108, -58, 112, 18, -22, -2, 47, -41, -20, -47, -4, -58, 111, 11, -18, 62, -130, -3, 12, 43, 67, -20, 84, 16, 55, -6, 145, -72, -40, -16, -29, -162, -40, -30, -118, -55, -32, 14, -53, 10, 11, 28, -250, -45, -146, 4, -30, 73, 52, 31, 102, 124, 10, -26, -24, 24, 40, -48, 116, -37, 8, -9, 42, -19, -26, 4, -18, 30, 9, -17, 94, 49, -124, -73, -24, -100, -129, -8, 32, -134, 38, -32, -124, -68, -66, -3, -3, -49, -84, 36, -83, 76, 26, -17, 18, 9, 24, -3, 49, 32, -23, 3, -44, -28, -24, -14, 7, 72, 50, -4, 9, -77, -23, -22, -140, 116, 40, 13, 92, -74, 6, -24, 96, -28, 21, -11, -6, 18, -21, 29, -40, 72, 10, -4, -4, -168, -41, -34, 50, -35, 44, -25, -11, -22, 23, -33, 88, 82, 48, -18, 64, 10, 3, 24, -25, 5, -36, 24, -20, -84, -76, 20, 2, -44, -86, 10, -40, 69, -56, -6, -12, 16, 60, 34, -236, -84, -85, -26, 2, -8, 144, 22, 18, 84, 13, -89, -54, -88, -94, 12, 43, 32, 166, -10, 192, -140, -121, 9, 116, 9, -24, 1, -50, 12, 48, -42, 40, 100, 54, 16, -4, -42, -10, -1, -76, -130, -118, -39, 112, -23, 142, -4, 121, -65, 50, -17, -33, 34, 98, -3, 90, -45, 8, -50, 84, 26, 106, -34, 101, 7, 233, -42, 11, -58, -143, 12, -100, -7, -34, 66, -104, -69, 91, 6, -178, -70, 44, -15, 147, -46, 94, -6, 74, -28, -110, -3, -55, 5, -9, -1, 4, -2, 88, 14, -58, 16, -44, -14, -21, 63, 38, 26, 138, 72, -38, 4, -34, -42, 110, -12, 50, 15, -64, 5, -133, -22, -56, 40, 170, 7, 6, -20, 60, -60, -228, 26, -69, -68, -16, 3, -72, 39, -28, -31, 90, 112, 11, 60, -76, 4, 154, 7, -58, -20, 48, 13, 16, 43, 162, 3, -25, 24, 103, -66, -20, -26, 32, 76, 216, 1, 1, 10, -126, 82, 195, -12, 52, 72, 99, 4, 10, 88, 42, -56, 224, -6, 171, -1, -11, -46, 26, -44, 22, -29, -144, -8, -36, 30, 72, -74, -12, -36, 285, 0, 110, -140, -80, -10, 192, 58, -60, -7, 8, -14, -35, -4, 45, 19, -96, 11, -106, 90, -24, -4, 76, -28, -96, 18, -44, 47, 68, -15, 90, 76, -107, 46, -26, 36, 1, 23, 102, -41, -160, -42, 94, -102, 3, -30, -80, 20, -76, -2, -133, 108, 108, -17, -22, -10, 45, 20, -72, 10, 160, -31, 52, 20, 130, 48, -115, 6, 86, 15, -4, -48, 102, 4, -55, 135, -35, -76, -82, -39, -124, 6, 2, -40, -15, 30, -64, -4, -41, -46, -128, -67, 101, 16, 84, 6, 160, 12, 4, -48, -48, 28, -10, 31, 43, -12, 39, -26, -16, -58, 136, 20, -24, 3, -100, -22, 75, -66, -70, 48, -78, 32, 106, -85, -28, 42, 47, 25, 40, 8, 83, -5, -68, 78, -46, 51, -90, -31, -93, 52, 34, -86, 80, 62, -94, -11, 88, 98, -69, -4, 0, -2, -58, 54, -201, -88, 250, 32, 76, 40, -2, -30, -180, -87, 66, 63, -104, -9, -8, 7, -178, -128, 40, -8, -20, -36, -26, 19, -74, 2, -30, 56, 139, -15, 92, -34, 84, -123, -124, -1, 65, 22, -64, 19, -29, 108, -80, 14, 229, -62, -24, -22, -169, 137, 69, -4, 102, -82, 108, 3, -70, 22, -166, 8, -166, 12, -80, 4, -50, -78, -26, -44, -112, -113, 36, -20, 154, -36, 39, -2, 46, 101, 41, 0, -46, -32, 36, -33, 61, -44, 68, 4, -47, -17, -35, 34, 65, 7, -6, 70, -90, 6, 220, -18, 63, 148, -50, -6, 28, 31, -48, 72, 48, 48, -14, 10, -3, -100, 56, 20, -153, -65, 40, -10, -88, 58, -4, 2, -70, -74, 40, -2, 27, -54, 48, -18, 112, -86, -115, 3, -6, 63, -8, 30, -24, 62, 2, 8, -56, 20, -132, 24, 32, -72, 44, -5, -83, 14, 30, -23, -10, 54, 13, 67, -3, 120, 92, 29, -114, 106, -10, 18, -188, -46, 111, 2, 122, 65, -60, -33, 116, 45, -98, -70, -11, -4, 110, -2, 87, 36, 56, 7, 180, -35, 44, -15, -82, 18, -70, 40, 13, -78, 278, -2, 12, -27, -122, -66, -18, -116, -77, 12, 35, -1, 62, -11, -34, 30, 110, -1, 132, 52, 204, -28, 48, 104, -82, -15, 6, -24, 119, 10, -114, -49, 2, 40, -47, 10, 110, -48, 50, 0, -22, 12, -62, 16, 22, 80, 1, 0, 71, -50, 108, -39, 22, 53, -60, -8, 162, 33, -56, -58, 56, -27, 40, 121, 118, -38, -52, -66, 182, 4, -65, 152, -64, 16, -197, 9, -70, 130, -150, -30, -58, 7, 33, 99, 204, 8, -100, -134, 161, 66, 8, 20, -10, -20, 146, 0, 12, -15, -1, 6, -157, 64, -55, 112, 12, 15, -10, 46, -68, 61, 166, -138, -47, -4, -49, -59, -119, 50, 163, 142, 34, -3, -58, -86, -1, -4, 117, -10, -2, 20, -60, 40, -130, 3, -56, 36, -60, 68, -126, -67, -192, 40, -44, 27, 12, -5, -164, 32, -24, 90, -55, -45, 170, 41, 34, 18, -2, -64, -16, 38, 14, 11, -96, 28, 59, -5, 2, -6, 66, -8, -6, 114, 76, -14, 22, 16, -64, -11, -58, 76, 62, -51, 80, -14, 94, 12, 39, 120, -34, -50, -14, -77, 56, 24, -34, -88, -16, -76, -236, -44, 35, 37, -38, 11, -43, 52, -10, 53, -4, -1, -73, -16, -30, 5, -40, 22, 31, -31, -6, 108, -68, 60, 22, 31, 207, 26, -72, -2, 181, -6, -51, 44, -112, 134, -45, 74, 3, -22, -2, -64, 83, -22, 75, 2, -16, -12, -186, -56, 44, 22, -15, 105, 180, -23, 194, 78, -92, -13, -44, 13, 124, 20, 98, 59, -150, 31, -90, -24, 80, -157, -86, 15, 20, 4, -40, -42, -36, 127, -220, -85, -128, 0, 10, -138, 21, 6, 66, 56, -98, -2, -74, -7, -30, 48, 57, -56, 228, 40, -10, 24, 124, -14, -30, 40, -79, -1, 20, 126, -144, -30, 11, 94, -268, -72, 107, 15, 38, -110, -98, -140, 108, 28, 132, 92, -106, -6, 100, -12, 0, 22, 26, -28, -73, 17, 99, -19, -76, -10, -78, 16, 276, -102, 192, 160, -56, -17, 26, 78, -69, -57, 40, 11, -48, 11, -116, -48, -198, 102, -8, 17, 70, -24, 96, -44, -88, 56, 94, 132, 190, -2, -36, 52, -32, 22, 46, -24, 109, -30, 200, -22, 86, -12, 18, -144, 60, 25, -18, -60, 3, -48, -16, -80, 92, 32, 26, 126, 172, -2, 58, -98, -87, 12, -36, 141, 210, -52, 18, -46, 6, -11, -250, 104, -132, 128, -232, -198, 264, -3, -231, 19, 48, 12, -88, -41, 12, 116, -228, -9, 116, -79, -30, 154, 23, -40, 70, 16, -105, 22, -46, 51, -162, 28, -46, 6, 4, -2, -13, -60, 9, 9, -73, 78, -116, 60, -58, -108, 44, 58, -14, -112, -110, -18, -21, 22, -218, 2, 12, -47, 66, 41, -16, 20, 10, 47, -110, 4, 242, 58, 196, -111, -76, -11, -114, 18, -34, -62, 42, 130, -162, 3, 20, -12, -99, -43, -198, -67, -33, 20, -67, -84, -170, -16, -150, -55, 18, 6, -184, -145, -198, 72, -56, 40, 8, 16, -86, 29, -180, 162, 156, 40, 118, 30, 108, 118, 200, 55, 12, 32, -62, -14, 76, 53, 114, -10, -111, -11, -98, -28, 23, 250, 16, 45, -71, 146, 15, -4, -129, 30, -60, -73, 36, -52, 1, -31, -88, -102, -48, -124, -30, -10, 195, 26, -22, 24, -85, -24, 138, -40, 46, 48, -30, -116, 28, 37, 118, -8, 94, 9, -19, -42, -28, 19, -84, 26, -198, -4, 8, 18, 149, -30, 168, -9, -68, 17, -166, -94, 148, -49, -80, 124, 116, 73, 88, 24, 19, 100, 68, 129, 127, 8, 48, -32, -195, 134, 289, -38, -296, 32, 130, 124, 1, 68, -4, 66, 12, 3, -190, 3, 35, 49, 70, 84, 96, -36, 26, 83, 110, -76, -46, -26, 216, 17, -23, -18, 44, -9, -50, -24, 2, 3, -20, -49, -68, -32, -191, 23, 192, -3, 6, 44, 109, 28, 30, 24, -136, 14, -98, -7, 161, -72, 22, -50, -48, 4, 43, -9, 48, 77, -12, 23, -60, 22, -65, 140, 14, -116, -22, -40, -35, -13, 92, -92, 74, 74, -97, -6, -6, 24, -108, -96, 30, 28, -25, -21, 63, 11, -11, 6, -78, -18, 40, 21, 142, -29, -17, 40, -100, -72, 200, -10, 40, 4, -12, 4, 4, 168, -36, 41, -81, 34, -137, -50, 150, 35, 188, -44, 14, 25, 198, 11, -224, 22, 3, -23, 91, 33, 132, -88, 35, -82, 56, -48, 108, 18, -124, -64, 6, -10, -39, -3, -20, -24, -168, 25, 148, -5, 66, 36, 30, -24, -8, 20, 44, 84, 127, 76, -20, -20, -152, -2, -97, 44, -254, 86, -40, -10, 28, 40, 18, -69, 45, 56, 35, 6, -3, 12, 5, -16, 152, -60, -64, -34, -114, 236, -83, 84, -108, 85, 159, 26, -101, -2, 3, 8, 138, -144, 172, -22, 60, -18, 4, -84, -20, -13, 14, 89, -286, 54, -58, 88, 179, 94, -144, -12, -2, -43, -202, -32, -112, -166, -121, 10, 84, -192, 134, 140, 18, 121, 98, -9, -130, -116, -10, -9, -196, 24, 16, -1, -151, 50, 70, -12, -48, -48, 88, 42, 2, -40, 110, -100, -94, -54, 20, -16, -69, 4, 56, 42, 32, 10, 40, 1, -114, 76, 142, 130, 63, 118, -168, 39, -30, -112, 61, 23, 7, -142, -144, 4, -58, -121, -81, 65, -144, -50, 16, 17, -2, 33, 350, -34, 0, -98, -39, 3, -258, -90, -92, 45, -22, -8, -167, 50, 28, -84, -131, -26, -38, -106, -90, 34, -38, -101, 34, -7, 79, -233, -104, 42, 261, -11, -94, 58, -110, 143, 64, -12, -94, 100, -80, 7, 232, 34, 120, -66, -26, 104, 135, 69, -200, -91, 128, -6, -300, 178, -4, 70, 8, -44, -46, 15, -102, -147, -15, 46, -222, -94, -45, 6, -118, -74, 2, 28, -90, 110, -194, 3, -82, 55, 70, -5, -95, 9, 44, 1, 116, -4, 76, 2, 193, -88, -235, -14, -32, 58, -124, -16, -178, 44, -8, 14, -44, 21, -253, -63, 94, -38, -248, -26, 20, -138, -124, -72, 20, 38, 129, -4, -48, 34, 67, 42, -102, -110, 110, 12, -194, -50, 105, -15, -200, 64, -77, -5, 140, 133, 8, 22, -327, 56, -186, -40, 93, -170, -98, -7, 51, -6, 266, 20, -180, -60, -12, 60, -3, 228, 11, -26, -220, 69, -90, 68, -280, 16, -68, -3, 32, 72, 58, -39, 157, 28, -114, 31, -98, -90, -12, -112, -184, -11, -18, -60, 152, 76, -85, -4, 198, -154, -37, -7], "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": "1334.2.a.g", "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, 0], [1, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [0, 1, -1, 0, 0], [1, 0, 0, 0, 0], [0, 1, 0, 0, 1], [0, -1, 1, 0, 0], [1, 0, 0, 0, -1], [-1, 0, 0, 0, 0], [3, 0, -1, -1, 0], [0, -1, 0, 0, -1], [1, -1, -1, 0, 1], [0, 1, -1, 0, 0], [-1, 1, -1, 0, 1], [-1, 0, 0, 0, 1], [0, 0, -1, 1, 0], [1, 0, 0, 0, 0], [-1, 1, 1, -1, 0], [-3, 0, 1, 1, 0], [2, 1, 0, 1, 0], [0, 1, 0, 0, 1], [3, 0, 0, -2, -1], [-1, 1, 1, 0, -1], [1, 0, 0, 0, 0], [0, -1, 1, 0, 0], [-1, 0, 1, 1, 0], [1, -1, 1, 0, -1], [4, 1, -1, 0, -2], [1, 0, 0, 0, -1], [-1, 0, 0, 0, 0], [0, 0, 1, -1, 0], [1, 1, 1, 0, -1], [-1, 0, 0, 0, 0], [-3, 4, -3, 3, 3], [1, -1, -1, 1, 0], [-3, 2, 0, 0, 1], [3, 0, -1, -1, 0], [1, 0, 2, -2, -1], [-2, -1, 0, -1, 0], [3, 0, -1, 1, 1], [0, -1, 0, 0, -1], [1, 0, 2, -2, 1], [-3, 0, 0, 2, 1], [-3, 1, -1, 2, 1], [1, -1, -1, 0, 1], [2, -2, -1, 0, 1], [-1, 0, 0, 0, 0], [-5, 3, -1, 2, 3], [0, 1, -1, 0, 0], [-1, -1, 0, -1, -2], [1, 0, -1, -1, 0], [1, -3, 2, -1, -5], [-1, 1, -1, 0, 1], [0, 3, 0, 2, 1], [-4, -1, 1, 0, 2], [1, -2, -3, -1, 1], [-1, 0, 0, 0, 1], [2, 1, -2, -1, 2], [1, 0, 0, 0, 0], [2, -2, -2, 0, -2], [0, 0, -1, 1, 0], [9, 0, 0, 2, 1], [-1, -1, -1, 0, 1], [2, 2, -2, -2, -4], [1, 0, 0, 0, 0], [3, -2, -1, 1, -1], [3, -4, 3, -3, -3], [5, -1, 1, -1, 0], [-1, 1, 1, -1, 0], [0, 1, -1, 0, 0], [3, -2, 0, 0, -1], [2, -4, 2, 0, -2], [-3, 0, 1, 1, 0], [9, 0, 0, -2, -1], [-1, 0, -2, 2, 1], [-4, -2, 2, 0, 2], [2, 1, 0, 1, 0], [-5, -1, 0, 1, -1], [-3, 0, 1, -1, -1], [0, -1, -2, 0, 1], [0, 1, 0, 0, 1], [3, 2, 0, -2, -2], [-1, 0, -2, 2, -1], [-2, -4, 3, 0, -3], [3, 0, 0, -2, -1], [5, -3, 4, 1, -3], [3, -1, 1, -2, -1], [0, -1, 1, 0, 0], [-1, 1, 1, 0, -1], [3, -5, 5, 1, 0], [-2, 2, 1, 0, -1], [-3, 1, 0, -1, 1], [1, 0, 0, 0, 0], [3, -2, 1, -3, -3], [5, -3, 1, -2, -3], [-2, 7, 0, 1, 4], [0, -1, 1, 0, 0], [2, -6, 5, 0, -3], [1, 1, 0, 1, 2], [6, 2, 0, 2, 8], [-1, 0, 1, 1, 0]]}