# Stored data for newform 4334.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "4334.2.a.c", "space_label": "4334.2.a", "level": 4334, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288299758, "dim": 17, "is_polredabs": true, "trace_hash": 170904078038128381, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [16, -2368, 4764, 10764, -17609, -15232, 23882, 9174, -16035, -2233, 5845, -25, -1172, 112, 121, -19, -5, 1]]], "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{3}q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17336, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 34.60716423602292, "hecke_ring_index": 1, "level_radical": 4334, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4334, 1, [1971, 199], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 11, 197], "conrey_indexes": [1], "field_disc": 448019820508128086123772835651549, "field_disc_factorization": [[41, 1], [21961, 1], [218195747969, 1], [2280420707133421, 1]], "field_poly": [16, -2368, 4764, 10764, -17609, -15232, 23882, 9174, -16035, -2233, 5845, -25, -1172, 112, 121, -19, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.281", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "443.320", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "27290.441", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 17, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, 1], [197, 1]], "trace_display": [-17, 5, 6, -9], "traces": [0, 17, -17, 5, 17, 6, -5, -9, -17, 12, -6, -17, 5, -16, 9, 0, 17, -8, -12, -23, 6, -15, 17, 12, -5, 11, 16, 17, -9, 0, 0, -8, -17, -5, 8, 6, 12, -7, 23, -9, -6, -27, 15, -13, -17, -11, -12, 23, 5, -8, -11, -40, -16, 14, -17, -6, 9, -18, 0, 2, 0, -49, 8, -42, 17, -57, 5, -5, -8, -9, -6, -5, -12, -54, 7, 7, -23, 9, 9, -11, 6, -35, 27, -8, -15, -65, 13, -20, 17, -9, 11, -9, 12, -50, -23, -27, -5, -42, 8, -12, 11, -12, 40, -31, 16, -38, -14, -8, 17, -45, 6, -23, -9, -21, 18, -34, 0, -68, -2, 43, 0, 17, 49, -1, -8, 9, 42, -28, -17, -38, 57, 4, -5, -15, 5, -17, 8, -16, 9, -54, 6, 8, 5, 16, 12, -72, 54, -1, -7, -18, -7, -35, 23, -63, -9, 25, -9, -8, 11, -45, -6, -92, 35, 36, -27, 0, 8, 27, 15, -39, 65, -6, -13, -17, 20, -47, -17, -6, 9, 23, -11, -38, 9, -60, -12, 39, 50, 8, 23, -49, 27, -5, 5, -40, 42, -19, -8, -17, 12, -37, -11, -58, 12, 22, -40, -36, 31, 45, -16, 23, 38, -29, 14, -40, 8, 8, -17, 0, 45, -20, -6, 46, 23, 6, 9, -76, 21, -5, -18, -15, 34, 15, 0, -30, 68, -25, 2, -26, -43, -25, 0, -75, -17, 36, -49, -28, 1, -9, 8, -88, -9, 77, -42, -12, 28, -40, 17, -28, 38, -64, -57, 15, -4, 49, 5, -25, 15, 20, -5, 12, 17, -118, -8, 49, 16, -11, -9, -42, 54, -31, -6, -33, -8, 9, -5, -47, -16, 52, -12, -21, 72, -79, -54, -13, 1, -5, 7, -17, 18, 62, 7, -55, 35, 47, -23, -64, 63, 0, 9, -4, -25, -6, 9, -42, 8, -67, -11, 93, 45, 0, 6, -56, 92, 39, -35, -73, -36, 53, 27, -56, 0, -37, -8, 57, -27, -8, -15, -76, 39, 17, -65, 8, 6, -36, 13, -116, 17, 60, -20, -103, 47, -58, 17, 6, 6, -27, -9, -31, -23, -54, 11, -50, 38, 5, -9, 6, 60, 21, 12, -67, -39, -31, -50, -52, -8, -2, -23, 28, 49, -88, -27, -120, 5, 96, -5, -6, 40, 18, -42, 2, 19, -38, 8, -45, 17, 34, -12, -62, 37, 43, 11, -103, 58, -10, -12, 14, -22, 7, 40, -145, 36, -48, -31, 69, -45, -69, 16, -70, -23, 60, -38, -39, 29, -41, -14, -59, 40, 46, -8, 9, -8, -28, 17, -78, 0, -97, -45, 22, 20, -84, 6, -6, -46, 20, -23, -77, -6, -114, -9, -8, 76, 27, -21, -58, 5, 29, 18, -83, 15, -123, -34, -95, -15, -36, 0, -32, 30, 68, -68, -110, 25, 145, -2, 13, 26, -112, 43, -33, 25, -114, 0, -62, 75, 18, 17, 78, -36, 12, 49, -139, 28, -156, -1, 54, 9, 11, -8, -83, 88, -84, 9, -12, -77, 38, 42, -85, 12, 22, -28, -73, 40, -90, -17, -108, 28, 60, -38, -23, 64, 27, 57, -29, -15, -60, 4, 8, -49, 44, -5, -113, 25, -63, -15, -19, -20, -122, 5, 78, -12, 8, -17, -96, 118, -22, 8, -36, -49, 25, -16, -83, 11, -37, 9, -8, 42, -113, -54, -45, 31, -29, 6, 40, 33, 83, 8, -123, -9, 30, 5, -105, 47, 24, 16, 92, -52, 51, 12, -124, 21, -130, -72, 126, 79, -14, 54, -6, 13, 72, -1, -55, 5, -5, -7, -56, 17, 36, -18, 138, -62, 8, -7, -106, 55, 127, -35, 6, -47, -79, 23, -135, 64, 84, -63, -3, 0, 85, -9, 27, 4, -88, 25, 3, 6, 35, -9, 137, 42, 18, -8, -7, 67, -122, 11, 34, -93, 52, -45, 46, 0, -74, -6, 11, 56, -48, -92, 60, -39, 172, 35, -2, 73, 125, 36, -1, -53, -83, -27, 50, 56, 72, 0, 72, 37, 201, 8, -26, -57, 14, 27, 92, 8, 49, 15, 68, 76, -64, -39, 79, -17, -14, 65, 62, -8, 47, -6, 4, 36, 3, -13, -28, 116, 39, -17, 42, -60, 111, 20, 49, 103, -52, -47, 54, 58, 124, -17, -15, -6, 185, -6, -106, 27, 9, 9, -2, 31, 57, 23, 89, 54, 80, -11, -2, 50, 76, -38, 85, -5, -34, 9, 51, -6, -30, -60, -48, -21, 119, -12, 5, 67, -65, 39, 75, 31, 69, 50, -97, 52, -41, 8, 44, 2, 77, 23, -19, -28, -42, -49, 105, 88, 9, 27, 6, 120, -15, -5, 52, -96, 66, 5, -64, 6, 61, -40, 59, -18, -145, 42, -46, -2, 104, -19, 5, 38, 181, -8, -96, 45, 24, -17, 73, -34, 94, 12, 94, 62, 102, -37, 133, -43, -105, -11, 65, 103, 54, -58, 20, 10, 46, 12, -41, -14, -101, 22, 174, -7, 94, -40, -25, 145, 9, -36, -152, 48, 138, 31, -7, -69, 142, 45, -195, 69, 85, -16, -44, 70, 229, 23, 68, -60, 81, 38, -101, 39, -49, -29, 181, 41, -9, 14, 93, 59, 13, -40, -136, -46, -23, 8, -31, -9, -65, 8, 252, 28, 1, -17, 90, 78, 234, 0, 11, 97, -87, 45, -121, -22, 82, -20, 46, 84, 151, -6, 95, 6, 45, 46, -156, -20, 26, 23, 104, 77, 35, 6, 16, 114, -18, 9, 128, 8, -34, -76, -64, -27, -12, 21, 30, 58, 11, -5, 65, -29, 326, -18, 8, 83, 130, -15, 1, 123, -89, 34, 25, 95, 79, 15, -34, 36, 242, 0, -122, 32, 66, -30, 197, -68, 65, 68, -76, 110, -8, -25, 52, -145, -132, 2, 175, -13, -14, -26, 59, 112, 155, -43, -72, 33, 150, -25, 20, 114, 119, 0, -35, 62, 121, -75, 82, -18, 196, -17, 68, -78, 83, 36, -14, -12, -6, -49, 45, 139, 9, -28, 99, 156, 127, 1, -6, -54, 130, -9, 114, -11, 86, 8, 207, 83, -73, -88, -99, 84, 106, -9, 9, 12, 72, 77, 121, -38, 135, -42, -132, 85, 253, -12, 145, -22, 139, 28, 88, 73, -112, -40, 228, 90, 50, 17, -12, 108, 48, -28, 109, -60, 128, 38, -3, 23, 44, -64, 54, -27, -30, -57, -37, 29, 183, 15, 27, 60, 115, -4, 116, -8, 66, 49, 82, -44, 186, 5, 102, 113, 91, -25, 170, 63, 10, 15, 308, 19, 42, 20, -93, 122, 70, -5, 66, -78, 116, 12, 91, -8, 4, 17, 51, 96, 53, -118, -80, 22, 202, -8, 12, 36, 208, 49, -26, -25, 235, 16, -134, 83, -120, -11, 231, 37, 339, -9, 18, 8, -258, -42, 129, 113, 12, 54, 205, 45, 193, -31, -12, 29, 53, -6, 56, -40, 62, -33, 94, -83, -58, -8, -76, 123, 166, 9, 31, -30, 24, -5, -91, 105, 38, -47, -43, -24, 13, -16, 57, -92, 102, 52, -160, -51, -147, -12, 101, 124, 38, -21, 3, 130, -21, 72, 93, -126, -40, -79, 134, 14, 57, -54, 1, 6, -66, -13, 137, -72, 166, 1, 8, 55, -80, -5, 40, 5, 311, 7, 2, 56, 204, -17, -243, -36, 293, 18, -101, -138, -191, 62, 144, -8, 45, 7, 64, 106, 1, -55, -80, -127, -13, 35, 9, -6, 14, 47, 211, 79, -106, -23, -103, 135, 76, -64, 23, -84, 69, 63, -90, 3, 138, 0, 18, -85, 33, 9, 112, -27, 123, -4, -197, 88, 54, -25, 26, -3, 21, -6, -10, -35, -44, 9, -222, -137, -39, -42, 83, -18, 146, 8, -19, 7, 83, -67, -68, 122, 100, -11, 34, -34, -74, 93, -53, -52, 4, 45, 170, -46, 167, 0, 26, 74, -211, 6, -4, -11, -3, -56, 36, 48, 68, 92, -79, -60, 5, 39, -40, -172, -12, -35, -53, 2, -2, -73, 29, -125, 31, -36, -141, 1, 214, 53, -43, 83, 74, 27, 60, -50, 44, -56, -149, -72, 47, 0, -11, -72, 242, -37, -72, -201, -22, -8, 138, 26, -17, 57, -114, -14, -88, -27, -79, -92, -336, -8, 118, -49, 90, -15, 53, -68, -125, -76, -122, 64, 184, 39, 1, -79, -5, 17, -110, 14, -15, -65, -230, -62, 118, 8, 187, -47, 126, 6, -188, -4, -202, -36, 38, -3, -9, 13, -161, 28, 9, -116, 2, -39, -80, 17, 56, -42, 53, 60, -112, -111, 5, -20, -75, -49, 1, -103, 28, 52, 48, 47, 11, -54, 133, -58, -180, -124, -45, 17, 0, 15, 205, 6, 51, -185, -163, 6, 101, 106, 38, -27, 2, -9, 72, -9, 119, 2, 95, -31, -63, -57, -24, -23, 52, -89, -168, -54, -242, -80, 122, 11, -4, 2, 113, -50, 86, -76, -12, 38, -134, -85, 101, 5, 178, 34, 304, -9, -132, -51, -24, 6, 218, 30, 15, 60, 1, 48, -32, 21, 103, -119, -78, 12, 29, -5, 38, -67, 137, 65, -109, -39, -6, -75, 145, -31, 17, -69, -109, -50, -134, 97, 120, -52, -300, 41, 132, -8, 122, -44, 76, -2, -421, -77, 69, -23, 99, 19, 16, 28, 36, 42, 79, 49, -45, -105, 1, -88, -98, -9, -87, -27, -91, -6, -71, -120, 36, 15, -108, 5, 54, -52, -36, 96, -129, -66, 85, -5, -215, 64, -50, -6, 145, -61, 93, 40, -256, -59, -67, 18, 71, 145, -8, -42, 57, 46, -260, 2, -36, -104, -104, 19, 193, -5, 68, -38, -3, -181, -227, 8, -282, 96, 2, -45, -16, -24, 121, 17, -121, -73, -23, 34, 231, -94, 171, -12, 69, -94, -74, -62, -150, -102, -121, 37, -50, -133, 72, 43, -141, 105, -297, 11, 12, -65, -52, -103, 42, -54, 209, 58, -103, -20, -297, -10, -140, -46, 235, -12, 1, 41, -69, 14, 56, 101, 294, -22, -297, -174, -4, 7, -75, -94, -83, 40, -77, 25, -70, -145, 88, -9, 18, 36, -197, 152, -24, -48, -72, -138, -172, -31, 237, 7, 59, 69, 242, -142, 2, -45, -383, 195, 26, -69, 35, -85, 225, 16, -46, 44, 185, -70, -223, -229, -144, -23, -212, -68, -81, 60, -2, -81, -124, -38, 154, 101, 63, -39, 44, 49, -23, 29, 100, -181, -25, -41, 84, 9, -149, -14, -13, -93, -119, -59, -77, -13, 190, 40, -25, 136, -2, 46, -26, 23, 48, -8, -280, 31, 195, 9, -15, 65, 212, -8, -179, -252, 185, -28, -72, -1, 8, 17, -233, -90, -205, -78, 201, -234, -96, 0, -240, -11, 45, -97, -108, 87, 107, -45, -307, 121, 42, 22, 45, -82, 23, 20, -117, -46, 30, -84, -130, -151, 54, 6, 159, -95, 198, -6, -349, -45, 63, -46, 84, 156, 92, 20, -12, -26, 200, -23, 233, -104, -70, -77, -64, -35, -76, -6, 42, -16, -95, -114, -254, 18, 152, -9, -36, -128, 113, -8, -412, 34, 58, 76, -237, 64, 199, 27, 286, 12, -90, -21, -79, -30, -250, -58, 69, -11, 0, 5, -16, -65, 66, 29, -84, -326, -30, 18, -65, -8, -41, -83, 98, -130, -41, 15, -115, -1, -309, -123, -27, 89, 79, -34, -55, -25, 236, -95, 137, -79, 177, -15, -52, 34, 78, -36, -73, -242, 168, 0, -74, 122, 39, -32, -48, -66, 35, 30, -158, -197, -89, 68, 238, -65, 128, -68, 98, 76, 70, -110, -158, 8, -60, 25, 6, -52, 308, 145, 0, 132, 80, -2, -395, -175, 134, 13, 240, 14, -107, 26, -57, -59, -129, -112, 257, -155, 17, 43, -138, 72, 5, -33, -232, -150, -82, 25, -55, -20, -125, -114, -103, -119, -49, 0, -165, 35, 94, -62, 47, -121, -161, 75, -203, -82, 58, 18, -213, -196, 149, 17, -47, -68, 29, 78, 50, -83, -113, -36, 56, 14, 6, 12, -200, 6, -160, 49, 291, -45, -214, -139, 185, -9, -166, 28, -188, -99, -131, -156, -128, -127, -167, -1, -23, 6, 36, 54, 170, -130, 466, 9, -72, -114, 40, 11, -147, -86, 103, -8, -59, -207, 42, -83, 239, 73, 38, 88, -327, 99, 79, -84, -101, -106, -272, 9, 314, -9, 49, -12, -242, -72, -345, -77, -191, -121, 52, 38, 60, -135, 335, 42, -131, 132, 13, -85, -363, -253, 199, 12, -304, -145, 81, 22, -182, -139, -73, -28, -112, -88, -39, -73, -69, 112, -31, 40, 2, -228, 141, -90, 150, -50, 58, -17, -79, 12, -43, -108, 94, -48, 205, 28, -8, -109, -122, 60, -102, -128, 162, -38, -118, 3, -39, -23, 23, -44, 109, 64, -409, -54, -221, 27, -48, 30, 49, 57, -314, 37, 163, -29, 358, -183, -320, -15, -221, -27, 4, -60, 163, -115, -333, 4, -155, -116, -25, 8, 5, -66, 46, -49, -296, -82, 80, 44, -100, -186, -21, -5, 186, -102, -15, -113, -97, -91, -36, 25, -18, -170, 40, -63, -305, -10, 43, -15, 5, -308, -44, -19, -50, -42, 17, -20, 3, 93, -292, -122, -13, -70, 25, 5, 19, -66, -76, 78, -51, -116, 109, -12, -219, -91, 341, 8, -6, -4, 34, -17, -250, -51, -114, -96, 74, -53, 17, 118, 7, 80, -321, -22, 183, -202, -96, 8, -400, -12, -357, -36, -7, -208, 66, -49, -72, 26, 43, 25, 37, -235, -81, -16, -129, 134, -83, -83, -119, 120, 212, 11, -147, -231, 250, -37, -12, -339, -67, 9, 74, -18, 58, -8, 100, 258, -177, 42, -235, -129, -102, -113, 123, -12, 241, -54, -208, -205, -19, -45, -194, -193, -176, 31, -22, 12, -102, -29, 162, -53, 33, 6, 155, -56, 267, 40, -20, -62, 246, 33, -34, -94, -86, 83, -86, 58, 36, 8, -313, 76, -304, -123, -44, -166, -69, -9, 482, -31, -82, 30, -41, -24, 132, 5, -30, 91, -6, -105, -45, -38, 218, 47, -60, 43, 290, 24, 63, -13, 31, 16, -234, -57, -11, 92, -41, -102, 249, -52, -31, 160, -23, 51, 62, 147, 109, 12, 103, -101, -255, -124, 51, -38, -199, 21, 154, -3, -268, -130, 20, 21, 196, -72, 29, -93, -14, 126, -478, 40, 145, 79, -378, -134, -66, -14, 172, -57, 617, 54, -77, -1, -172, -6, 53, 66, 40, 13, -267, -137, -94, 72, 196, -166, -188, -1, 187, -8, 210, -55, -80, 80, -212, 5, 76, -40, -46, -5, -8, -311, -73, -7, 96, -2, 20, -56, 295, -204, -279, 17, -297, 243, 233, 36, -200, -293, 154, -18, 16, 101, 0, 138, 32, 191, -29, -62, 30, -144, 30, 8, 73, -45, -190, -7, -227, -64, 90, -106, -172, -1, 214, 55, 20, 80, 10, 127, -221, 13, 201, -35, -63, -9, -44, 6, 212, -14, 181, -47, -99, -211, -404, -79, -392, 106, -46, 23, -116, 103, 76, -135, 52, -76, -182, 64, 66, -23, 12, 84, 59, -69, -27, -63, -60, 90, 4, -3, -6, -138, 44, 0, -197, -18, -4, 85, -75, -33, 163, -9, 18, -112, -220, 27, 30, -123, -86, 4, 106, 197, 76, -88, 108, -54, 22, 25, 158, -26, -175, 3, 98, -21, -217, 6, -77, 10, -182, 35, -130, 44, 57, -9, 5, 222, -52, 137, -237, 39, 149, 42, 107, -83, -126, 18, 91, -146, -4, -8, -69, 19, 123, -7, 115, -83, 15, 67, -140, 68, -32, -122, -283, -100, -83, 11, 25, -34, 185, 34, 320, 74, 32, -93, -539, 53, -235, 52, -15, -4, 9, -45, 18, -170, 183, 46, -179, -167, 140, 0, -45, -26, -157, -74, -222, 211, -18, -6, 16, 4, 30, 11, -42, 3, -60, 56, 158, -36, -253, -48, 233, -68, 3, -92, -185, 79, -165, 60, -122, -5, 492, -39, 25, 40, -39, 172, -197, 12, 2, 35, -176, 53, 165, -2, 117, 2, 42, 73, 148, -29, 11, 125, 185, -31, 26, 36, -274, 141, -146, -1, -29, -214, 29, -53, 25, 43, -405, -83, -163, -74, -55, -27, -92, -60, -108, 50, 25, -44, 207, 56, -73, 149, 252, 72, 14, -47, -68, 0, 111, 11, 365, 72, 74, -242, 145, 37, -13, 72, 75, 201, 1, 22, -297, 8, 103, -138, -80, -26, 111, 17, 176, -57, -83, 114, 242, 14, -298, 88, -49, 27, -36, 79, -8, 92, -258, 336, 193, 8, -71, -118, -17, 49, 284, -90, 204, 15, -129, -53, -67, 68, -22, 125, 28, 76, -328, 122, 31, -64, 181, -184, -83, -39, -255, -1, -164, 79, -303, 5, -247, -17, 333, 110, -198, -14, 9, 15, -295, 65, -200, 230, 224, 62, -264, -118, 24, -8, 314, -187, 149, 47, 96, -126, -136, -6, 47, 188, 88, 4, 172, 202, 71, 36, 94, -38, 182, 3, 163, 9, 180, -13, -184, 161, 161, -28, -88, -9, 128, 116, -77, -2, 169, 39, -133, 80, 318, -17, -122, -56, -365, 42, 160, -53, 90, -60, 1, 112, -132, 111, 92, -5, 12, 20, -136, 75, -452, 49, 314, -1, -219, 103, -11, -28, -199, -52, 309, -48, 49, -47, -186, -11, 354, 54, 40, -133, -230, 58, -309, 180, 370, 124, -263, 45, 192, -17, -87, 0, 113, -15, -93, -205, 24, -6, -297, -51, 28, 185, -282, 163, 348, -6, -72, -101, 250, -106, 164, -38, -348, 27, 71, -2, -103, 9, 269, -72, -74, 9, 64, -119, -146, -2, -203, -95, 226, 31, 71, 63, 329, 57, -107, 24, 56, 23, 69, -52, -96, 89, 92, 168, -15, 54, -26, 242, -117, 80, 143, -122, -393, -11, 298, 4, 362, -2, -250, -113, -198, 50, -174, -86, -124, 76, -49, 12, 56, -38, -261, 134, -76, 85, 101, -101, -112, -5, 132, -178, 88, -34, 236, -304, 481, 9, 79, 132, 25, 51, -345, 24, -89, -6, -3, -218, -72, -30, 274, -15, -44, -60, -109, -1, 125, -48, 56, 32, -112, -21, -20, -103, 148, 119, -14, 78, 254, -12, -172, -29, -75, 5, 152, -38, 166, 67, 159, -137, 0, -65, -105, 109, -12, 39, 249, 6, -9, 75, 212, -145, -3, 31, 7, -17, -469, 69, -14, 109, 47, 50, 272, 134, -78, -97, 118, -120, 26, 52, -62, 300, -3, -41, -216, -132, 68, 8, 110, -122, 233, 44, 49, -76, -89, 2], "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": "4334.2.a.c", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0, 1, -1, -1, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -2, 1, -1, -2, 1, -2, 0, 0, -1, 0, -1, 0, 0, 0, 1], [1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 0, 0, 1, -1, 2, -1, -1, 0, -1, 0, 0, -1, -1, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 1, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0], [1, -2, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 0, -1, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, -1, -1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, 0, 0, 0], [1, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0], [2, -2, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 0, -1, 1, -1, 2, -1, 1, 0, 2, 3, -1, 0, 2, 0, 1], [2, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0, -1, 1, 1, -2, 0, -1], [-1, 0, 1, 0, -1, 0, 1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 1, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0], [-1, 1, -2, 1, 0, 0, 1, -2, -1, 1, 0, 0, 0, -1, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 2, 0, 0, -1, -1, 0, 0, -1, 0, 0], [0, -1, 2, -1, 1, 2, -1, 2, 0, 0, 1, 0, 1, 0, 0, 0, -1], [-1, -1, -2, -1, -1, 0, 0, -1, 0, 1, -2, 0, -1, -1, 0, 0, -1], [-1, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0], [-1, 1, -1, 0, 0, -1, 1, -2, 1, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, -1, -1, 1, 0, -1, 0, -2, 0, -1, 0, -1, 1, 0, 1, 1, 0], [-1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, -1, 0, 1, 0, 0], [1, -1, 0, 0, 1, -1, -2, 1, 0, 0, 1, -1, 0, -1, 0, 1, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0], [-1, -1, -1, 0, 0, -1, -1, -1, -1, 0, -1, -2, 1, 2, -1, 0, -1], [-1, 2, 0, 1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [-2, -1, -2, -1, 2, -2, 1, -3, 1, 1, 0, 1, 0, -1, 2, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 1, -2, 1, 2, -2, 1, 0, 0, 0, -1, 1, 0, 1, 0, -1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 1, 0, -1, 2, -2, 0, 0, 0, 1, 0, 1, 1, 1, 0], [1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1], [-1, 1, 0, 1, -1, 0, -1, 2, -3, -2, 1, -2, 2, 2, -2, 0, -1], [-1, 0, 1, 1, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 1, 0], [-1, 0, 0, -2, 1, 0, 0, 2, 1, 0, 0, 2, -1, 1, -1, -1, 1], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 1, 0, 1, 0, -1, 3, -1, 0, 0, 0, 0, 1, -2, 0, 0], [0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 0, 0, 0], [-3, 1, -1, 1, 0, -2, 3, -2, -1, 1, 2, 3, 0, 1, 1, 2, 2], [-1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [-2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1], [-2, 0, 0, -2, -1, 1, 0, 0, 1, 1, 0, 2, -4, -1, -1, -1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 2, 0, -1, 3, -2, 3, 0, -2, 0, -1, 1, 0, -1, -2, -1], [4, -1, 0, 1, -1, 1, -2, 1, -1, 0, -2, -3, 1, 0, -2, 0, -1], [-1, -2, 0, -2, 1, 2, 0, 1, -1, 0, 1, 1, 0, -1, -1, -1, 0], [-2, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0, 1, -1, -1, 2, 0, 1], [0, -2, 2, -2, 1, 2, -1, 3, 1, 0, -1, -1, 1, -1, -2, -1, -2], [1, 0, -1, 0, 1, 0, -1, 0, -1, 1, 0, -1, 1, -1, 0, 1, 0], [-2, 1, 2, 0, -2, 1, 0, 1, 1, -1, 0, 1, 0, -1, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -1, -1, -1, 1, 1, -1, 0, 2, -1, -1, -1, -1, 1, 0, 0], [0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0], [-1, 1, 1, -1, 0, 2, -1, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0], [1, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0], [0, -2, 1, -3, 2, 1, -1, 2, 2, 1, 0, 0, -1, -1, -1, -1, -2], [1, -1, 2, -1, 0, 0, -1, 2, 1, -1, 0, 0, 0, 1, -2, -2, -2], [3, -1, 1, -2, 1, 0, 0, 1, 2, 0, -1, -1, 2, 0, -1, 1, -1], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, 1, 0, -1, 1, 0, 1, 2, -3, -2, 1, 1, -3, 1, -2], [0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 0, 0, 1, 0, 0], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -2, 1, -1, -2, 1, -2, 0, 0, -1, 0, -1, 0, 0, 0, 1]]}