# Stored data for newform 3969.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "3969.2.a.z", "space_label": "3969.2.a", "level": 3969, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717820801, "dim": 5, "is_polredabs": true, "nf_label": "5.5.574857.1", "trace_hash": 365121378713617265, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 3, -9, -5, 2, 1]], [5, [3, 18, -18, -5, 4, 1]], [11, [15, 12, -15, -8, 4, 1]], [13, [-5, -23, 13, 13, -8, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-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": 15876, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 31.692624562246184, "hecke_ring_index": 1, "level_radical": 21, "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": [3969, 1, [2108, 3727], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 574857, "field_disc_factorization": [[3, 4], [47, 1], [151, 1]], "field_poly": [-3, 3, 9, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.753", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.950", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1186.479", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1]], "trace_display": [-2, 0, -4, 0], "traces": [0, 5, -2, 0, 4, -4, 0, 0, -3, 0, 7, -4, 0, 8, 0, 0, -2, -12, 0, -1, -5, 0, 1, -3, 0, 1, -11, 0, 0, -7, 0, 3, 2, 0, -3, 0, 0, 0, -20, 0, 3, -5, 0, 7, 10, 0, -3, -27, 0, 0, -19, 0, 10, 21, 0, 2, 0, 0, 10, -30, 0, 14, -6, 0, -25, 11, 0, 2, -27, 0, 0, -3, 0, -15, 36, 0, -5, 0, 0, 4, -20, 0, 5, -9, 0, 6, 8, 0, 18, -28, 0, 0, -27, 0, 3, 14, 0, 12, 0, 0, -13, -8, 0, -5, -9, 0, -6, 8, 0, 21, -20, 0, 0, -28, 0, -18, 25, 0, 30, 0, 0, -23, -14, 0, -9, -30, 0, 24, 9, 0, -2, -52, 0, 0, -65, 0, 12, 0, 0, -15, 0, 0, -3, -7, 0, 8, 15, 0, -30, 39, 0, 19, -24, 0, 0, -24, 0, -19, 35, 0, 29, 0, 0, 5, -19, 0, 6, -19, 0, -27, -18, 0, -13, -32, 0, 0, -26, 0, -11, -35, 0, -22, 0, 0, -30, 12, 0, -3, 30, 0, 10, 17, 0, -5, -24, 0, 0, -25, 0, 24, 3, 0, 65, 0, 0, -35, -13, 0, -20, -28, 0, 2, 15, 0, -56, -62, 0, 0, -66, 0, 22, -15, 0, -28, 0, 0, 31, -18, 0, 37, 48, 0, 15, 39, 0, 0, -60, 0, 0, -9, 0, 25, 35, 0, -14, 0, 0, 32, -18, 0, 12, -28, 0, -54, 27, 0, -4, -8, 0, 0, -20, 0, -56, 2, 0, -57, 0, 0, 61, -9, 0, 8, 21, 0, 9, -11, 0, -19, 6, 0, 0, 31, 0, 11, 42, 0, -20, 0, 0, -31, -23, 0, -18, -2, 0, 9, 60, 0, 3, -21, 0, 0, -52, 0, 16, -37, 0, 26, 0, 0, 42, -51, 0, -5, 49, 0, 29, 36, 0, 47, 41, 0, 0, 27, 0, -29, 28, 0, -9, 0, 0, 1, -18, 0, 55, -49, 0, 20, -24, 0, 39, -30, 0, 0, -12, 0, -52, -47, 0, -10, 0, 0, -31, 8, 0, -36, -29, 0, 11, 4, 0, -12, 58, 0, 0, 12, 0, -45, 78, 0, -72, 0, 0, -23, -24, 0, -24, -16, 0, 27, -44, 0, -50, -57, 0, 0, 11, 0, 93, -15, 0, 36, 0, 0, -71, -8, 0, -48, 84, 0, 59, 45, 0, -12, -13, 0, 0, 30, 0, 16, 44, 0, -1, 0, 0, 54, 62, 0, -38, -84, 0, 31, -86, 0, -9, 30, 0, 0, 34, 0, 74, -9, 0, 8, 0, 0, 48, 45, 0, -57, 9, 0, 27, -72, 0, -10, 13, 0, 0, -45, 0, -23, 13, 0, -87, 0, 0, 35, -7, 0, -36, -83, 0, -31, -41, 0, -21, 51, 0, 0, 24, 0, 57, -32, 0, -2, 0, 0, -9, -101, 0, -24, 50, 0, -67, 24, 0, 5, 21, 0, 0, 61, 0, -21, -23, 0, 48, 0, 0, 2, 45, 0, 31, -48, 0, 49, -9, 0, 18, 19, 0, 0, 28, 0, 11, -47, 0, 33, 0, 0, 24, 15, 0, -10, 31, 0, -44, 9, 0, 20, 66, 0, 0, -50, 0, -109, -15, 0, 33, 0, 0, 10, 31, 0, 24, -39, 0, 20, -57, 0, 17, -52, 0, 0, 13, 0, -102, -49, 0, -56, 0, 0, -82, 8, 0, 35, 13, 0, -75, 38, 0, -80, 22, 0, 0, 69, 0, 56, 85, 0, -2, 0, 0, -15, 75, 0, -46, -22, 0, 15, -66, 0, -42, 15, 0, 0, 33, 0, 75, 0, 0, -24, 0, 0, 113, 73, 0, 58, 116, 0, 16, -57, 0, -34, 55, 0, 0, 54, 0, 83, -24, 0, -6, 0, 0, 1, 38, 0, 19, -6, 0, -53, -3, 0, 39, 36, 0, 0, 34, 0, -129, -111, 0, -14, 0, 0, 111, -50, 0, 27, 20, 0, -35, 15, 0, 11, 68, 0, 0, 66, 0, 107, -13, 0, -75, 0, 0, -81, 28, 0, 64, -7, 0, 17, 13, 0, -21, -21, 0, 0, -39, 0, 6, 6, 0, 45, 0, 0, 80, -9, 0, 7, -1, 0, 8, 9, 0, 24, 142, 0, 0, 39, 0, -90, -7, 0, 4, 0, 0, -24, 111, 0, 57, 75, 0, -7, -34, 0, 89, -9, 0, 0, 120, 0, -167, -44, 0, 55, 0, 0, -87, -9, 0, -36, 84, 0, 27, 44, 0, -18, 150, 0, 0, 9, 0, -90, 14, 0, -18, 0, 0, -121, 21, 0, -14, -56, 0, -8, -93, 0, 36, -9, 0, 0, 70, 0, 159, -81, 0, 43, 0, 0, -130, 73, 0, 60, -24, 0, 99, -17, 0, -30, 75, 0, 0, 38, 0, 14, 22, 0, 11, 0, 0, 5, 63, 0, -9, -19, 0, 21, -32, 0, 45, 72, 0, 0, 33, 0, 81, -51, 0, 28, 0, 0, -6, -31, 0, -53, 134, 0, -4, 58, 0, -42, 63, 0, 0, 120, 0, -23, 21, 0, -22, 0, 0, 77, -5, 0, 18, -28, 0, -56, -4, 0, -2, 87, 0, 0, 30, 0, 84, -72, 0, -32, 0, 0, -42, 131, 0, -89, -4, 0, -81, -42, 0, 16, 109, 0, 0, 22, 0, 20, -57, 0, 126, 0, 0, 77, 129, 0, -2, 6, 0, 22, -21, 0, 27, 43, 0, 0, -47, 0, -32, -12, 0, 46, 0, 0, -63, -48, 0, -51, 26, 0, -54, 17, 0, 16, 153, 0, 0, 39, 0, -84, -65, 0, 113, 0, 0, -41, -15, 0, 20, -39, 0, -30, 31, 0, -61, 37, 0, 0, 138, 0, -171, -6, 0, -87, 0, 0, -105, 106, 0, 96, 24, 0, 50, -11, 0, -33, 71, 0, 0, -23, 0, 116, -75, 0, 71, 0, 0, -104, 30, 0, -109, 67, 0, 2, -27, 0, 0, -54, 0, 0, -53, 0, 16, -93, 0, 56, 0, 0, 137, -54, 0, 50, -66, 0, 10, 105, 0, 70, 0, 0, 0, 144, 0, 161, 82, 0, -27, 0, 0, 90, 16, 0, 39, -51, 0, -43, -130, 0, -6, 4, 0, 0, 12, 0, -82, 69, 0, -123, 0, 0, 76, 89, 0, -35, 101, 0, -16, 18, 0, -11, 60, 0, 0, 0, 0, 34, -26, 0, -66, 0, 0, -22, 70, 0, -12, 7, 0, -121, -134, 0, 45, -13, 0, 0, 25, 0, -12, -133, 0, 63, 0, 0, 83, 57, 0, 29, 151, 0, 1, 36, 0, 122, 27, 0, 0, 30, 0, 15, -52, 0, 130, 0, 0, 37, 99, 0, 96, -126, 0, 40, 16, 0, 0, -23, 0, 0, -52, 0, -89, 105, 0, 0, 0, 0, 22, 64, 0, 76, 63, 0, 157, -40, 0, -40, 89, 0, 0, -48, 0, 5, -10, 0, -116, 0, 0, -19, 19, 0, 31, 67, 0, -24, 72, 0, -26, 0, 0, 0, 71, 0, 51, -38, 0, -42, 0, 0, -24, -88, 0, 128, -26, 0, 61, -55, 0, -16, 39, 0, 0, 87, 0, 51, 45, 0, -54, 0, 0, 118, -16, 0, -29, -6, 0, -16, 48, 0, 144, -54, 0, 0, -114, 0, 150, -22, 0, -32, 0, 0, 66, -18, 0, -66, -54, 0, -42, -30, 0, -11, 69, 0, 0, 40, 0, -33, 6, 0, -46, 0, 0, 87, -25, 0, 47, 9, 0, 24, 70, 0, 54, -96, 0, 0, 46, 0, 76, -65, 0, -44, 0, 0, -162, 11, 0, -69, 85, 0, 0, 33, 0, -13, -60, 0, 0, -44, 0, -127, 116, 0, 119, 0, 0, 29, -75, 0, -174, -137, 0, 72, 11, 0, -22, -33, 0, 0, -114, 0, -48, 63, 0, 35, 0, 0, -35, 148, 0, -96, 95, 0, -114, -132, 0, 13, -61, 0, 0, 39, 0, -67, 72, 0, 131, 0, 0, -33, -9, 0, 29, 27, 0, -22, -21, 0, -156, 68, 0, 0, 1, 0, -62, -32, 0, 14, 0, 0, -249, -83, 0, -22, -89, 0, 77, 84, 0, 130, 48, 0, 0, -27, 0, 87, -75, 0, 3, 0, 0, -44, -89, 0, -5, -72, 0, 48, -77, 0, -104, 3, 0, 0, 45, 0, 111, -49, 0, 27, 0, 0, 24, -1, 0, 93, -9, 0, 54, 20, 0, 7, -45, 0, 0, -90, 0, 48, -116, 0, -3, 0, 0, -2, -61, 0, 57, 86, 0, -75, -49, 0, -72, -37, 0, 0, 18, 0, -143, 6, 0, 14, 0, 0, 120, 9, 0, -17, -42, 0, -3, 88, 0, 30, -23, 0, 0, 11, 0, 69, 177, 0, -195, 0, 0, -68, 10, 0, -36, -140, 0, 16, -44, 0, 42, 5, 0, 0, 65, 0, 87, 112, 0, 71, 0, 0, 18, 35, 0, -20, 39, 0, -10, -180, 0, 38, -127, 0, 0, -6, 0, -49, 153, 0, -21, 0, 0, -17, -81, 0, 15, -52, 0, 4, 48, 0, 43, 42, 0, 0, -150, 0, -156, -22, 0, 144, 0, 0, -12, -141, 0, -28, 24, 0, -31, -116, 0, -30, -39, 0, 0, 75, 0, -104, -110, 0, -42, 0, 0, -57, 13, 0, 50, -131, 0, 96, 86, 0, -57, -18, 0, 0, 1, 0, 207, 45, 0, 88, 0, 0, -90, -24, 0, -18, -90, 0, 114, -13, 0, -27, -31, 0, 0, -45, 0, 75, 48, 0, 68, 0, 0, 134, -45, 0, -105, 108, 0, 165, 24, 0, 71, -121, 0, 0, 78, 0, 78, 82, 0, -112, 0, 0, 37, -152, 0, -8, -104, 0, -42, 135, 0, -145, -31, 0, 0, -48, 0, -36, -26, 0, -192, 0, 0, 6, -12, 0, -74, 29, 0, -53, 36, 0, -8, -9, 0, 0, -60, 0, 0, 17, 0, -79, 0, 0, -12, -37, 0, 6, -109, 0, -201, -83, 0, 37, -58, 0, 0, -66, 0, -99, 78, 0, 52, 0, 0, 105, 14, 0, -70, 45, 0, 60, -24, 0, -25, 51, 0, 0, 6, 0, -10, -93, 0, 57, 0, 0, -45, -191, 0, 1, 113, 0, -141, 100, 0, -89, -57, 0, 0, 4, 0, -182, -80, 0, 63, 0, 0, 100, -156, 0, 142, -111, 0, -92, 128, 0, -64, -52, 0, 0, -81, 0, -132, -16, 0, 4, 0, 0, -81, 82, 0, 136, 24, 0, -24, -37, 0, 0, -160, 0, 0, -87, 0, 27, 109, 0, -101, 0, 0, -36, -55, 0, -36, 17, 0, -1, 84, 0, -30, -37, 0, 0, -73, 0, 22, 77, 0, -110, 0, 0, 68, -96, 0, 101, -131, 0, 27, 29, 0, 19, 69, 0, 0, 24, 0, 167, 124, 0, -129, 0, 0, 19, -31, 0, 177, 143, 0, -142, 89, 0, 18, -49, 0, 0, -153, 0, -232, 36, 0, -49, 0, 0, 115, 36, 0, 25, 45, 0, 9, -85, 0, 138, -88, 0, 0, -61, 0, 100, -171, 0, -21, 0, 0, -91, -24, 0, -31, 57, 0, -27, 34, 0, -56, -74, 0, 0, -52, 0, -30, -48, 0, 6, 0, 0, 111, -134, 0, -6, -57, 0, -20, -6, 0, -15, -174, 0, 0, -42, 0, 50, 176, 0, 15, 0, 0, 3, -97, 0, 69, -107, 0, 12, 6, 0, 58, -24, 0, 0, -31, 0, -118, 51, 0, 122, 0, 0, -69, 94, 0, -53, 123, 0, 45, 123, 0, -64, -189, 0, 0, -129, 0, -65, 135, 0, -34, 0, 0, -40, -111, 0, -99, 51, 0, 30, -13, 0, 56, -141, 0, 0, -9, 0, 155, -58, 0, 88, 0, 0, 23, -22, 0, 141, -26, 0, 114, 135, 0, 18, -232, 0, 0, -149, 0, 12, 20, 0, -42, 0, 0, 51, 105, 0, -115, -48, 0, 77, -5, 0, 44, -15, 0, 0, -129, 0, 78, 38, 0, 60, 0, 0, 97, 83, 0, -100, -25, 0, -30, 24, 0, -83, -2, 0, 0, 12, 0, 34, -112, 0, 3, 0, 0, 43, -8, 0, -66, 175, 0, -52, -18, 0, -198, -20, 0, 0, 44, 0, -9, 96, 0, -236, 0, 0, -132, -106, 0, -180, 34, 0, -80, 216, 0, -112, 6, 0, 0, -124, 0, -54, -57, 0, 48, 0, 0, 15, -123, 0, -87, -15, 0, 51, 91, 0, 167, 0, 0, 0, 57, 0, -46, -18, 0, 39, 0, 0, -90, 11, 0, -18, -217, 0, -51, -202, 0, -49, -126, 0, 0, -83, 0, -18, 54, 0, -65, 0, 0, -85, 44, 0, -54, 78, 0, 12, 122, 0, -168, -51, 0, 0, -232, 0, -135, 115, 0, 102, 0, 0, 21, -87, 0, 3, 14, 0, 35, -18, 0, -90, -144, 0, 0, -74, 0, -65, -41, 0, 61, 0, 0, -90, 22, 0, -199, 54, 0, -37, 91, 0, 120, 52, 0, 0, 6, 0, 94, 27, 0, 92, 0, 0, 37, 84, 0, -49, 3, 0, 160, -77, 0, 3, -201, 0, 0, -84, 0, 166, -43, 0, 33, 0, 0, -7, 19, 0, -110, -81, 0, -44, 53, 0, 60, 14, 0, 0, -161, 0, -126, 168, 0, -174, 0, 0, 69, -93, 0, -88, -153, 0, 29, 140, 0, 5, -81, 0, 0, -16, 0, 60, 11, 0, -18, 0, 0, -151, -141, 0, 183, 114, 0, 9, -28, 0, 64, -45, 0, 0, 12, 0, 59, 150, 0, -47, 0, 0, -39, 69, 0, 46, -62, 0, -45, 28, 0, 68, -18, 0, 0, -168, 0, 15, -108, 0, 224, 0, 0, 146, 11, 0, 45, 88, 0, 129, -188, 0, -5, -174, 0, 0, 19, 0, -34, -102, 0, 43, 0, 0, 153, 24, 0, 54, -200, 0, 39, 4, 0, 188, -176, 0, 0, 7, 0, 42, -2, 0, -149, 0, 0, -69, 132, 0, 38, -49, 0, 1, 54, 0, -33, 162, 0, 0, -32, 0, 210, 153, 0, -23, 0, 0, -46, 89, 0, 62, -59, 0, 212, 82, 0, -85, 42, 0, 0, -161, 0, 97, 123, 0, -68, 0, 0, 208, -101, 0, 19, 69, 0, 98, 24, 0, 16, 125, 0, 0, 7, 0, 34, -85, 0, -177, 0, 0, 3, -35, 0, 48, 18, 0, 6, -2, 0, -102, -93, 0, 0, 104, 0, -28, -85, 0, -24, 0, 0, -19, -50, 0, -9, -99, 0, -85, 79, 0, 54, 28, 0, 0, -147, 0, -156, 126, 0, 22, 0, 0, 36, -72, 0, 14, -177, 0, -2, -36, 0, 27, -7, 0, 0, 116, 0, -45, -48, 0, 27, 0, 0, -61, -48, 0, -99, 124, 0, 139, 138, 0, 0, -63, 0, 0, 89, 0, -57, 66, 0, -87, 0, 0, -145, -99, 0, -48, 51, 0, -82, 136, 0, 75, -10, 0, 0, -147, 0, -129, -141, 0, 209, 0, 0, 12, -27, 0, 36, 2, 0, -186, -138, 0, -63, 17, 0, 0, -27, 0, -186, 111, 0, -18, 0, 0, -161, 41, 0, 157, -21, 0, 170, -20, 0, 117, -109, 0, 0, 9, 0, 58, 276, 0, 7, 0, 0, 32, -6, 0, 13, 139, 0, -156, -27, 0, -87, 200, 0, 0, 37, 0, 168, 104, 0, -78, 0, 0, 47, -28, 0, 141, 13, 0, -64, 25, 0, -1, -18, 0, 0, 36, 0, 46, -77, 0, 37, 0, 0, 114, 30, 0, 221, -98, 0, -99, -165, 0, -145, -142, 0, 0, -143, 0, -24, -138, 0, -114, 0, 0, 147, 36, 0, 21, 30, 0, -75, -51, 0, 46, -44, 0, 0, -15, 0, 136, -75, 0, -190, 0, 0, -52, -90, 0, 1, 71, 0, 30, 45, 0, -15, -99, 0, 0, 41, 0, 44, 39, 0, 113, 0, 0, 189, -43, 0, 44, -161, 0, 54, 30, 0, 108, 68, 0, 0, -121, 0, -14, -36, 0, -21, 0, 0, 75, -39, 0, 189, 84, 0, 87, 280, 0, 82, -54, 0, 0, 189, 0, -5, 296, 0, 75, 0, 0, -107, 94, 0, 76, 13, 0, 29, -162, 0, 48, -134, 0, 0, 66, 0, 30, 87, 0, 101, 0, 0, 36, -245, 0, -29, 158, 0, -157, 0, 0, -162, -29, 0, 0, -139, 0, 174, -11, 0, 54, 0, 0, -93, -68, 0, -50, -132, 0, -3, -30, 0, -32, -89, 0, 0, 232, 0, -28, -31, 0, 198, 0, 0, 148, 19, 0, -174, -51, 0, 35, 78, 0, 130, 267, 0, 0, 60, 0, -36, -78, 0, 150, 0, 0, -84, 85, 0, -308, 66, 0, 130, -29, 0, 8, -6, 0, 0, -40, 0, 68, 0, 0, -140, 0, 0, 75, 15, 0, 33, -6, 0, 75, -105, 0, -65, -91, 0, 0, -118, 0, 57, -24, 0, 77, 0, 0, 24, -17, 0, -59, 81, 0, -65, 55, 0, -70, 39, 0, 0, -18, 0, 92, -133, 0, -49, 0, 0, -19, -40, 0, 22, -3, 0, 84, -6, 0, 18, 69, 0, 0, 213, 0, -11, 138, 0, 119, 0, 0, 27, -51, 0, 35, -36, 0, -15, -41, 0, 30, 124, 0, 0, 16, 0, -182, -186, 0, 36, 0, 0, -94, -22, 0, -162, 114, 0, -160, 134, 0, 14, 135, 0, 0, 87, 0, -87, -86, 0, 55, 0, 0, -143, -195, 0, -80, -126, 0, -114, 130, 0, -45, 168, 0, 0, 145, 0, -133, -211, 0, -43, 0, 0, -124, 69, 0, -67, 100, 0, 63, -70, 0, 73, 9, 0, 0, -19, 0, -8, -138, 0, -71, 0, 0, -51, 99, 0, -12, -222, 0, -64, -210, 0, -29, 16, 0, 0, -226, 0, 31, 42, 0, -59, 0, 0, -16, -22, 0, 133, 144, 0, -109, -37, 0, 135, -57, 0, 0, 208, 0, -112, 147, 0, 108, 0, 0, -87, 48, 0, -19, 79, 0, -96, -120, 0, 72, -60, 0, 0, 13, 0, 136, 41, 0, 42, 0, 0, -178, 90, 0, 124, -35, 0, 117, 38, 0, 108, 15, 0, 0, -167, 0, 105, 27, 0, -44, 0, 0, 81, 132, 0, -90, 24, 0, -161, -235, 0, -33, -123, 0, 0, 3, 0, -114, -258, 0, 24, 0, 0, 43, -11, 0, 138, 41, 0, -4, 159, 0, 149, 58, 0, 0, 129, 0, 66, -36, 0, 231, 0, 0, -60, -132, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "63.2.g.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, 0, 0, 0, 0], [1, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 1, 0, 0], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 0, 0, -1, 0], [0, 0, 0, 0, 0], [2, 0, 0, 1, 1], [-1, 0, 1, -1, 0], [0, 0, 0, 0, 0], [1, 1, 0, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, -1, 1, 1], [-3, 1, -1, 0, 0], [0, 0, 0, 0, 0], [-1, 2, -1, 1, -1], [-2, 0, -1, -2, 0], [0, 0, 0, 0, 0], [1, -1, 1, 0, 1], [0, 0, -2, 2, 1], [0, 0, 0, 0, 0], [0, 1, -1, 0, 2], [-1, -2, -1, 1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, -1, 2, -1, 0], [0, 0, 0, 0, 0], [1, 0, -1, 1, 1], [-1, 3, -1, 1, -2], [0, 0, 0, 0, 0], [-2, 4, -1, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -2, 0, -2, 0], [-5, 2, -3, 1, 0], [0, 0, 0, 0, 0], [1, 1, 2, 1, 0], [0, -1, -1, 1, 2], [0, 0, 0, 0, 0], [3, -2, -1, 1, 3], [2, -1, -1, 0, -1], [0, 0, 0, 0, 0], [-4, 5, -2, -1, -3], [-4, -1, 2, 1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-6, 3, -1, -1, -2], [0, 0, 0, 0, 0], [1, 2, 1, -1, 0], [5, -1, 0, 0, 2], [0, 0, 0, 0, 0], [0, 1, 1, -1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [3, -2, 2, -1, 1], [-6, -1, -1, -1, 1], [0, 0, 0, 0, 0], [2, 1, -1, -1, 1], [-3, 2, -1, -1, -2], [0, 0, 0, 0, 0], [-6, 1, -2, 0, -1], [1, 1, -1, -1, -1], [0, 0, 0, 0, 0], [-1, 4, 2, -1, 1], [-7, 2, -3, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -2, 1, 3, 2], [0, 0, 0, 0, 0], [-4, 0, 1, -3, 0], [10, -2, 4, 2, 2], [0, 0, 0, 0, 0], [-3, 5, -1, 0, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [3, -4, 2, 0, 1], [-3, -2, 0, 1, -1], [0, 0, 0, 0, 0], [-2, 4, 0, -2, -3], [-1, 0, -2, 4, -2], [0, 0, 0, 0, 0], [2, 0, 1, 1, 1], [-1, 2, 1, -3, -4], [0, 0, 0, 0, 0], [4, 0, -1, 2, -1], [-7, 2, 0, -2, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-5, 2, 0, 2, 2], [0, 0, 0, 0, 0], [-3, 4, 0, -4, -2], [2, 0, -2, -1, 0], [0, 0, 0, 0, 0], [2, 1, 4, -1, -2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2, 2, 0, 4, -1]]}