# Stored data for newform 4235.2.a.bf, downloaded from the LMFDB on 19 April 2024.
{"label": "4235.2.a.bf", "space_label": "4235.2.a", "level": 4235, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139611588482044043, "dim": 5, "is_polredabs": true, "nf_label": "5.5.270017.1", "trace_hash": 418493910849195037, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 0, 10, -5, -2, 1]], [3, [-3, 7, 7, -5, -2, 1]], [13, [9, 40, 45, 4, -8, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+\\beta _{1}q^{3}+(1+\\beta _{4})q^{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": 16940, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 33.816645256012244, "hecke_ring_index": 1, "level_radical": 385, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [4235, 1, [2542, 1816, 2906], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 270017, "field_disc_factorization": [[11, 1], [24547, 1]], "field_poly": [-3, 7, 7, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.057", "prec": 17}, {"__RealLiteral__": 0, "data": "4.662", "prec": 17}, {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "60.239", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1202.482", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, -1], [11, -1]], "trace_display": [2, 2, 5, 5], "traces": [0, 5, 2, 2, 4, 5, -1, 5, 0, -1, 2, 0, -3, 8, 2, 2, 2, 6, 11, 7, 4, 2, 0, 3, -6, 5, -15, 5, 4, 17, -1, 12, -3, 0, -12, 5, -3, -2, 21, 14, 0, 5, -1, 4, 0, -1, 2, 0, -12, 5, 2, 14, 2, 8, 22, 0, 0, 4, 6, -16, -3, 24, 9, -1, -38, 8, 0, -9, 19, 22, 2, -10, 4, 11, -1, 2, 11, 0, -5, 9, 2, -19, 44, 10, -3, 6, 15, -2, 0, -9, 11, 8, -26, -1, 34, 7, -18, 11, 2, 0, 4, 20, 47, -13, -4, 2, 8, -12, 13, -2, 0, -13, 2, 2, -20, 3, 43, -9, -30, 6, -6, 0, -23, -8, 42, 5, 11, 26, 3, 39, -15, 2, 0, 7, -2, 5, -51, 21, 4, 6, 4, -17, 53, 0, -17, 17, 43, 2, 49, 9, -1, 21, 38, -4, 0, 12, -15, 8, -29, -18, -3, 3, -48, 21, 38, 0, 5, 4, -6, -9, -12, 18, 16, -17, -30, 5, 0, -38, -49, 18, -3, 8, -15, 44, 17, -2, -49, 0, -18, 5, 21, -39, 5, 24, -52, 14, 4, -48, 0, 25, 0, 26, 5, 17, 84, 5, -34, 21, 11, 0, -1, 30, 59, -68, 18, 4, 10, 12, -47, 21, 0, -1, 6, -14, -3, -1, -46, -40, -62, -33, 2, 0, 17, 27, 28, 0, 21, 11, -12, 16, -12, -8, 0, -38, 30, 5, -4, 14, 45, -33, 2, 35, -3, 0, -49, 14, 6, 10, 65, -2, 2, -13, -87, -20, 0, 8, 21, -10, -65, -18, 22, -26, -60, 14, 28, 0, -35, 41, -26, -4, 0, 73, 14, 15, -29, 4, 0, 5, -49, 75, 6, 11, -18, 5, -1, -16, -18, 0, 24, 41, -3, 4, 29, -27, 16, 24, 90, 45, 0, -28, 9, -36, 13, 17, 19, -1, -43, -16, 6, 0, -38, 61, 2, -82, 6, 8, 4, -55, 35, 0, 0, 6, -18, -12, 67, -9, -12, 54, -82, -35, 19, 0, -16, 5, -15, 22, 43, 15, -45, 50, 2, -46, 0, 47, -61, -10, 12, 14, 21, -1, 4, -8, 18, 0, 2, 11, 18, 19, 25, 31, -1, 8, -93, 74, 0, 2, 3, 37, 22, -42, 11, 40, -3, 59, 89, 0, -6, 50, -71, 64, -5, -75, 0, 8, -80, 9, 0, -45, 45, 4, 2, -35, 33, 50, 82, -19, 6, 0, -7, -19, 44, -16, 73, -16, -18, 10, 14, -102, 0, -4, -3, -68, 15, 17, -24, 6, -65, 24, -128, 0, 15, 32, 7, -42, 9, -2, -15, 59, 46, 55, 0, -1, -61, -16, 37, -9, 16, 50, -38, -65, 11, 0, 27, 44, 9, 8, -32, 50, 3, 5, -26, 43, 0, 21, 4, -1, -33, -70, -51, -9, 34, 79, 9, 0, -49, 7, 19, -18, -12, 11, -18, -33, 48, 22, 0, 11, -71, -40, -21, -52, 2, 36, -31, -2, 10, 0, 19, -10, -138, -20, 4, 15, -5, -51, 4, 20, 0, 40, -47, 20, 47, 11, -7, 3, 116, -13, 41, 0, -1, -3, -4, -76, 41, -116, -86, 2, -113, -84, 0, -10, 8, -52, 11, -51, -9, -12, 0, 57, 122, 0, 13, 0, -140, -20, 53, -2, -5, -12, 129, -3, 0, 49, 24, 9, 72, -13, 37, -15, 8, 2, 2, 0, -36, -58, 28, 2, -2, -19, 60, 97, -20, -1, 0, -29, 44, 3, 40, -53, -12, -78, 43, 10, -43, 0, 7, -9, 4, 1, -3, 101, -30, 8, -57, -69, 0, 6, -140, 22, 21, -119, -6, 28, 15, 33, 111, 0, -94, 82, -81, -2, -23, -82, -10, -18, 38, -8, 0, 74, -80, 12, 42, -54, -86, -9, 46, 5, -110, 0, -68, 102, 11, 23, 22, -27, 20, 26, 48, 8, 0, -5, 3, -21, 105, 20, -26, 39, -9, 15, -47, 0, -15, -1, -87, 51, -85, 2, -29, 53, 34, -35, 0, 96, -132, -59, 100, 7, 52, -2, -122, -55, -2, 0, -18, 5, 92, 5, -49, 8, -26, 11, -51, -45, 0, 55, 7, 21, 2, -62, -77, -42, 4, 93, 7, 0, 63, 6, -49, -23, 105, -118, 4, -8, 16, -51, 0, -17, -38, 20, -32, -86, 53, -27, -41, 49, 47, 0, -75, 12, -16, 33, -17, -13, 39, -79, -112, 17, 0, 22, -4, 14, 43, 76, -5, -9, 63, 2, -62, 0, 0, 74, 49, 55, 8, -19, -51, 9, 40, -38, 0, -12, -1, -153, 4, -105, -82, 21, 13, -54, -69, 0, 38, 45, 21, -2, -110, -4, 53, -1, 99, 72, 0, 104, 41, 28, 74, 12, -9, -13, -45, 67, -15, 0, 82, 16, 2, 8, -24, 8, -39, 39, -29, 2, 0, 117, -91, -18, 99, -54, -20, 7, -3, -50, -68, 0, 7, 3, -60, 6, 52, 102, -48, 5, 43, -72, 0, 21, -124, 13, -12, -9, 38, -49, -51, 51, 31, 0, -30, -116, 12, 25, 5, -53, -78, 6, -164, 4, 0, -13, 13, 0, -6, -40, -170, 117, 187, -9, -38, 0, -57, 19, -12, -112, -57, -90, -23, 18, -14, -105, 0, 65, 16, -8, -52, 37, -5, -17, -137, 118, 42, 0, -30, 12, -15, -52, -48, 5, 18, 44, -18, -81, 0, 59, 11, -160, 175, -38, -182, -65, -48, 26, -49, 0, 53, -11, 152, 18, 3, 90, 29, 114, -3, 139, 0, 39, -57, 8, 18, -39, -197, -42, -15, -41, 19, 0, -15, 44, -38, 2, -22, -28, 17, 30, -10, -134, 0, -2, -54, -49, -8, -129, -49, 7, 88, 89, 38, 0, 32, -23, -2, -48, -18, -58, 122, -23, 24, 5, 0, -9, -82, -36, 21, 91, -51, -13, 73, -39, -58, 0, 39, 21, 5, 27, -45, 91, -1, 24, 4, -38, 0, 14, -52, 12, 26, 6, 145, 14, -24, -3, -92, 0, 4, -100, -128, -50, -82, -48, -164, -17, -121, 21, 0, -26, -49, 119, 53, 25, -205, 64, -117, 40, 0, 0, 83, -36, 43, 26, 37, -58, -17, 95, 5, -72, 0, -36, -24, 17, -56, -83, -51, -121, 84, 28, 43, 0, 31, 5, 73, 109, -28, 2, -34, 40, -31, -52, 0, 21, 49, 70, 98, 9, 11, -58, 22, 9, -59, 0, -112, -18, -57, 132, -1, -46, -11, -12, -180, 30, 0, 21, -91, 110, 59, 33, -42, 75, 38, -68, 35, 0, 42, 104, 18, -4, 23, 26, 73, 4, 147, 29, 0, 77, 10, -44, 39, -59, -83, 12, 5, 93, -26, 0, -47, 4, -15, -93, 97, 21, 42, 3, 119, 8, 0, 19, 156, -92, 69, -1, -29, 74, 20, -85, 6, 0, 30, -18, -148, -14, -72, -92, 2, 102, -3, -36, 0, 132, -36, -1, 52, 3, -16, -47, -46, 45, 138, 0, -48, -40, 84, -40, 110, -67, -62, 21, -99, -35, 0, -33, -115, -20, 38, -39, 2, 78, 16, 52, 94, 0, 150, 29, -90, 26, 17, -29, 5, -33, -45, 27, 0, 40, -17, 4, 28, 143, 10, -103, 23, 0, -6, 0, 166, -81, 21, -3, 91, -9, 44, 11, -125, -107, 0, 44, -12, -89, -87, -68, -9, 16, -149, 18, -124, 0, -12, 75, 17, -87, 16, -8, -48, -156, 34, 77, 0, -17, -119, -72, 114, -38, -59, -132, -30, -143, 30, 0, 86, 41, 22, 5, 14, -7, 48, 21, -4, 95, 0, -9, 103, 14, -83, 28, -80, -38, 45, 4, -19, 0, -116, -33, -49, -2, -19, 8, 2, -134, -1, 18, 0, 35, -32, 60, -98, -58, -3, 128, -42, 27, 101, 0, -68, 8, -176, 99, -49, 57, -67, 17, -15, 14, 0, -71, -167, -37, 6, 44, 144, -16, 58, 10, 59, 0, 17, -114, 65, 80, -91, -164, -136, -2, -20, 4, 0, 24, 2, 61, -49, -31, 23, -13, 48, 117, -15, 0, -87, 100, -102, 55, 7, -20, -18, 92, 84, -132, 0, 22, 97, 5, -97, 8, -32, 100, 166, 74, 21, 0, -32, -12, 20, -10, -5, -39, -23, 45, -65, 65, 0, -138, 5, -18, -17, -14, 147, 42, 22, 24, -9, 0, 154, -26, 66, -65, -52, 52, -60, 146, 13, -49, 0, 14, -172, -46, -32, -35, 28, 110, 4, -153, -15, 0, -89, 99, -67, -48, -35, 27, 7, -191, -41, 41, 0, 46, -9, 119, -26, -13, -16, 25, 30, -4, -34, 0, -233, -2, 0, -22, 159, 63, 18, 73, 87, 26, 0, -21, 14, -313, 68, 90, 5, 15, 9, 20, 82, 0, -29, 17, -45, -13, -12, 4, -12, 61, 84, 139, 0, 84, -13, 106, 130, 5, 207, -7, -120, -53, -49, 0, -34, -104, 31, 75, -72, -65, -15, 21, 6, 14, 0, 39, -25, 11, 11, -94, 56, 80, -18, -49, 174, 0, -7, 5, 64, -69, 237, 4, -1, -55, 11, -25, 0, -16, 54, 30, -55, 72, -18, -87, 10, 175, 59, 0, -151, -139, 57, 49, 24, -68, 85, -61, -141, 41, 0, -73, 18, 6, -3, 64, -117, 78, -37, 4, -198, 0, 33, 64, 29, -59, 10, 86, 58, -27, -83, 48, 0, 12, 16, -33, -2, -33, 37, 24, -47, 108, 122, 0, 90, 1, 37, 21, -33, 45, 7, 51, 95, -136, 0, 110, 117, -13, -18, -28, 44, -1, 40, 62, 9, 0, 125, 95, 6, -36, 110, 57, 134, -85, 13, -14, 0, -77, 66, 17, 130, 4, -3, -2, 19, -60, 25, 0, -124, -1, -115, 177, -41, 59, -43, 11, -46, -189, 0, -16, -148, 115, -129, -40, 6, 30, 51, -9, 43, 0, -62, -122, 149, -44, -38, 64, 34, -33, -146, 61, 0, -100, 67, 72, 2, 60, -58, -68, 62, -82, 32, 0, -23, 48, 6, -19, 69, 35, 17, 8, 2, 2, 0, -10, 4, 27, -101, -50, -10, -55, -114, 55, 28, 0, 35, 22, 50, -31, -77, 0, 76, -89, -6, -96, 0, 134, 21, -62, -109, 6, -20, 34, -23, 11, -18, 0, -134, 34, 142, -12, -12, 14, -92, 84, 67, 178, 0, 16, 136, -9, -63, -21, -230, 42, -12, -40, 2, 0, 8, 54, 140, -8, 26, 187, -82, -101, 117, 140, 0, -35, 52, -86, -47, 90, 19, -38, 68, 129, -24, 0, 125, -37, 30, 89, -16, 12, 11, -3, -73, 5, 0, -69, -76, 7, -15, 172, -4, 136, 100, 22, -192, 0, -41, 14, 43, 8, 73, 26, 84, 15, 45, -108, 0, 9, -45, -61, 88, -33, 98, 50, -40, -16, -101, 0, 2, -54, -25, 53, -118, -46, -31, 35, -137, 52, 0, -67, 129, 57, -3, 47, 78, -71, -87, 104, -61, 0, -65, -24, -44, -10, -99, 91, -49, -76, 12, 12, 0, -196, -2, 14, -16, 5, 189, 35, 21, 42, 6, 0, -23, -1, 38, -2, 127, 10, 4, 119, -116, 65, 0, -8, 65, -8, 1, -65, 18, 10, -60, -2, -101, 0, -9, 147, 23, -68, 2, 75, -245, -136, -2, 11, 0, -13, 87, 38, 18, 82, -11, -61, -87, 19, -202, 0, 41, 49, 25, -20, -89, 4, 101, 31, 165, 30, 0, -45, -1, 10, -93, -17, 1, 8, -186, 27, -60, 0, -93, -9, 21, -117, 55, 74, 79, -229, 16, -10, 0, -91, 41, -12, 29, 2, -65, 32, -174, 20, 3, 0, 65, -18, 75, 37, -41, 187, 111, 97, 22, 105, 0, -16, 176, -42, 72, -26, 71, -42, 11, -272, 228, 0, -60, 40, 21, -161, -19, 157, -3, 14, -146, 21, 0, 59, -46, 172, 28, 97, 89, 152, 147, -42, 179, 0, -65, 84, 49, 127, -6, 67, -35, 101, 20, 50, 0, -67, 189, 41, -71, 42, 149, -90, 12, 64, -26, 0, 89, -61, -5, 132, 3, -4, -46, -75, -63, 21, 0, 7, 0, 176, -57, 62, 39, 8, -140, 73, -109, 0, -80, 48, 37, -8, 14, 9, 41, 33, 16, 23, 0, 15, -130, -27, -166, -45, 83, 27, -29, -119, 45, 0, 13, 59, -237, 4, -46, 54, 36, -184, 2, 51, 0, 6, 73, -35, -260, -25, 53, 5, 33, 84, -94, 0, 136, 50, -49, 16, 130, -6, 82, -4, -33, 75, 0, -19, 223, -55, -55, 74, 6, 3, 52, 21, 51, 0, -208, 11, -32, -70, -7, 25, 12, 4, -18, -19, 0, -74, -67, 171, 44, 5, 216, -55, -42, -16, 93, 0, -1, -52, 73, -26, 299, -37, -121, -16, 2, -109, 0, -112, -18, -87, -18, -93, -97, 10, 142, -53, -119, 0, 14, 118, -70, -23, -10, -102, 24, -72, 24, -30, 0, 211, 30, 41, -43, -4, 112, -178, 279, -65, -3, 0, 74, 28, -13, -68, -45, 4, -17, -127, 15, 89, 0, -80, 29, 17, -234, -21, 144, 5, -24, -27, 219, 0, -104, 6, 282, -225, 16, 141, -65, 33, -57, -93, 0, 24, 37, 2, -39, 103, -128, 23, 90, 26, -57, 0, -27, -147, 29, 45, 15, -16, 84, -225, 59, 32, 0, 96, -2, 72, 7, 13, -55, -28, -11, -42, -164, 0, -188, -23, 9, -116, 40, 75, 164, -2, 196, -36, 0, -158, -15, -135, -226, 64, 13, 59, 118, -7, 112, 0, 46, 17, -57, 199, 90, 55, -102, 73, 19, -135, 0, -43, 64, -104, 98, -1, 150, -74, -70, -53, -61, 0, -43, -33, 101, -16, 112, 85, -69, -16, 37, 236, 0, 51, 133, -9, 6, -2, 31, -1, 16, 138, 7, 0, -22, 50, -16, 82, 96, -63, -38, -14, 41, 65, 0, -65, 327, 61, -132, -164, 11, 64, -157, -89, 2, 0, -109, -13, 158, -145, 27, -82, -9, -40, 49, 44, 0, 3, 6, 56, 9, -28, -40, -157, -35, 8, 94, 0, 234, 29, -32, -37, 4, 27, 53, 50, 75, 8, 0, -55, 3, 35, -208, 0, 17, 5, 35, -70, -10, 0, -26, -45, -20, 0, 92, 43, -147, -19, -146, 15, 0, 131, -53, 210, -83, 21, 6, 6, 67, -34, 4, 0, -22, -17, -18, -1, -90, 38, 123, 31, -33, -12, 0, 212, -6, -70, -124, -126, 67, -65, -51, -167, 44, 0, 55, -9, 44, 47, -77, -50, 34, 11, -12, -55, 0, 79, 103, 53, -19, 54, 9, -28, -131, -79, 198, 0, -82, -54, -30, -46, -49, 76, -21, -35, -74, 7, 0, -231, 254, 114, 19, 113, -51, 271, -3, -18, 123, 0, -82, -5, -12, -142, 93, -96, -16, 11, -124, 90, 0, 74, -18, 5, 6, -46, 117, -33, -23, 107, -15, 0, 48, 27, 68, -46, 39, 22, -108, -1, -2, -53, 0, 146, 43, 113, -87, 11, 113, -56, 156, 15, -71, 0, -94, 166, 84, -40, -45, 76, 75, -186, -21, 226, 0, 50, -45, -52, 31, 39, -113, 110, 2, 39, 103, 0, 187, 36, 112, -46, 102, -126, -31, 192, 148, -51, 0, -2, 92, -1, 159, 161, 10, 47, -39, -42, 108, 0, 207, -201, -61, -140, 19, -131, 256, 21, 106, -10, 0, -151, -40, -104, -138, 57, 12, -22, -9, -20, -105, 0, -169, 14, 4, -63, -89, 94, -1, 15, 21, -80, 0, -36, -5, -100, -46, -1, 218, -51, 1, -59, -139, 0, 4, -31, -66, -128, 181, 20, 39, -8, 23, 8, 0, -143, -67, 145, 18, 40, -101, -130, 2, 35, -47, 0, 252, -67, -163, 20, -183, 2, 2, 12, 47, 33, 0, -188, 19, 11, 138, 60, 236, -148, -7, -43, 18, 0, 90, 3, 40, 38, 110, 19, 116, 33, -146, 259, 0, -13, 25, 220, -45, 81, 41, -7, -55, 31, -102, 0, -267, 33, -16, 295, -1, 45, 170, 68, 107, -3, 0, 8, 121, -163, -4, 31, 32, 89, -93, -76, -153, 0, 200, -7, 41, 74, 29, 59, -16, -116, 62, 49, 0, -106, -86, 36, -10, 89, -33, 2, -132, -37, 129, 0, -113, -99, 3, 110, 240, -84, 18, -82, -97, 37, 0, -36, 73, -33, 113, -10, 22, 118, -102, -37, 8, 0, 114, -42, -45, -52, -34, 43, 74, -126, 11, 33, 0, -43, 11, -51, -73, 40, -134, 47, -9, -20, 43, 0, -3, -12, 34, -39, -102, -32, 0, 59, 6, 163, 0, 57, -106, 5, 89, -137, 122, 70, 87, -355, -49, 0, -1, -98, 40, 11, 13, -50, -6, 255, 64, 0, 0, -26, 235, 50, -140, 198, 19, 3, 42, -20, -71, 0, 142, -200, 53, 96, 58, 64, 67, -2, 159, 32, 0, 12, -5, -154, -15, -4, -149, -12, -2, -75, -155, 0, 129, 145, 46, 29, 0, -3, -155, -62, 58, 2, 0, 8, 36, 46, -151, 49, 218, -82, -80, -41, 24, 0, 82, 23, 40, 9, -312, -10, -122, -65, 72, -152, 0, -83, -17, -13, 60, -124, 246, -45, 37, -56, 200, 0, 31, -15, 45, -86, -242, -101, 8, -82, 80, 4, 0, 2, -170, -18, -172, 39, 2, 51, 113, 114, -131, 0, 74, -35, -16, -23, -36, -150, 94, 5, 33, -58, 0, -175, -178, 70, 28, 50, -278, 44, -119, 2, 51, 0, 82, -45, -2, -115, 126, -168, -73, -19, -30, 45, 0, -40, 60, 238, 6, 103, -75, 97, 145, 11, 150, 0, -20, -72, -204, 127, 166, -1, -7, -34, 95, -137, 0, 178, 85, -19, 20, -29, -16, -168, 264, 133, 44, 0, -45, -104, -92, 3, -94, -16, 33, -55, 40, 27, 0, -180, 73, -53, 14, 135, 152, -84, -12, -16, -42, 0, -17, -78, 115, 131, -18, -117, 43, 243, -173, -23, 0, 10, 170, 87, 147, -58, -43, 140, 14, -115, 93, 0, -75, 54, -72, -102, 7, 90, -97, -188, 163, -9, 0, -117, -1, 189, 4, 47, 52, -4, -141, 1, -1, 0, -125, -13, -3, 173, -323, 29, 78, 101, -40, -68, 0, -32, -30, -152, -70, 43, 15, 8, 149, -133, 160, 0, -57, 17, -194, 58, -86, -69, 100, -5, -24, 25, 0, 99, -37, -50, -193, 6, 84, -145, 163, -19, -140, 0, -65, 23, -28, 22, 13, 99, -77, 24, 21, 59, 0, 100, -25, -119, -128, 119, 29, -25, -6], "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": "4235.2.a.z", "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], [0, 0, 1, 0, 0], [0, 1, 0, 0, 0], [1, 0, 0, 0, 1], [1, 0, 0, 0, 0], [-1, 1, 0, 1, 0], [1, 0, 0, 0, 0], [0, 0, 1, -1, 0], [-1, 1, 1, 0, 0], [0, 0, 1, 0, 0], [0, 0, 0, 0, 0], [-1, 0, -1, 2, 0], [2, 1, -1, -1, 0], [0, 0, 1, 0, 0], [0, 1, 0, 0, 0], [1, -1, 0, -1, -1], [1, 0, -2, 3, 1], [2, 1, -1, 1, 1], [1, 1, 2, -2, 0], [1, 0, 0, 0, 1], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 2, 1, -2, -1], [-1, 0, -1, 0, -1], [1, 0, 0, 0, 0], [-4, 0, 2, 0, -1], [1, -2, 1, 1, 0], [1, 0, 0, 0, 1], [4, 0, 0, -1, 1], [-1, 1, 0, 1, 0], [3, 1, 1, -3, 1], [1, -2, -3, 1, 0], [0, 0, 0, 0, 0], [-6, 3, 3, 2, -2], [1, 0, 0, 0, 0], [-2, 0, 2, 1, -1], [0, -1, -1, 2, 2], [5, -1, 1, -1, 2], [3, 1, 0, -2, -1], [0, 0, 1, -1, 0], [0, 0, 3, 0, 1], [-1, 1, 0, 1, 0], [-1, 3, 1, 1, 1], [0, 0, 0, 0, 0], [-1, 1, 1, 0, 0], [1, 0, -2, 1, 1], [-1, -2, 2, 2, -1], [-1, 0, -1, -3, -1], [1, 0, 0, 0, 0], [0, 0, 1, 0, 0], [1, 1, 2, 3, 3], [2, -2, -4, 3, 2], [2, -2, -1, 3, 2], [5, -1, 1, -1, 1], [0, 0, 0, 0, 0], [0, 0, 1, -1, 0], [0, 2, -1, 0, -2], [0, -1, 6, -2, 0], [-1, -2, -2, -1, 1], [-1, 0, -1, 2, 0], [5, 3, -2, -1, 1], [2, -2, 5, -3, 1], [-1, 1, 1, 0, 0], [-9, 1, 1, 1, -1], [2, 1, -1, -1, 0], [0, 0, 0, 0, 0], [-3, 2, 1, -1, -2], [4, 5, -6, 1, 1], [4, 2, 1, -3, -2], [0, 0, 1, 0, 0], [-2, -5, 4, 0, -2], [2, -1, -2, 0, 0], [0, 1, 3, 1, -1], [-2, 1, 4, -1, -1], [0, 1, 0, 0, 0], [2, -4, 5, 0, 1], [0, 0, 0, 0, 0], [-1, -1, 1, 0, 0], [3, 1, -1, -4, -2], [1, -1, 0, -1, -1], [-2, -2, -4, 2, 1], [9, 0, 2, -1, 3], [4, -1, 2, -7, -2], [-1, 0, -1, 2, 0], [1, 0, -2, 3, 1], [0, 4, 1, 3, 1], [-1, 2, -2, 1, -1], [0, 0, 0, 0, 0], [0, -1, -4, 1, 1], [2, 1, -1, 1, 1], [2, 1, -1, -1, 0], [-6, -3, 1, 4, 0], [0, 1, -3, 0, -3], [8, 0, -3, 1, 2], [1, 1, 2, -2, 0], [-1, -3, -1, -2, 1], [4, 0, -3, -3, -3], [0, 0, 1, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, 1]]}