# Stored data for newform 3381.2.a.bc, downloaded from the LMFDB on 23 April 2024.
{"label": "3381.2.a.bc", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599931701, "dim": 6, "is_polredabs": true, "nf_label": "6.6.7997584.1", "trace_hash": 2181159676987020225, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 4, 12, -5, -7, 1, 1]], [5, [-74, -70, 52, 35, -15, -3, 1]], [11, [256, -128, -320, -24, 52, 14, 1]], [13, [-1, -4, 47, 52, -31, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(\\beta _{3}+\\beta _{5})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 1, "level_radical": 483, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 23], "conrey_indexes": [1], "field_disc": 7997584, "field_disc_factorization": [[2, 4], [7, 2], [101, 2]], "field_poly": [-2, -4, 12, 5, -7, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.597", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "89.351", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2216.371", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1], [23, 1]], "trace_display": [-1, -6, 3, 0], "traces": [0, 6, -1, -6, 3, 3, 1, 0, -3, 6, -3, -14, -3, 0, 0, -3, -7, 15, -1, -1, 17, 0, -6, -6, 3, 9, -15, -6, 0, -6, 3, -11, 3, 14, 15, 0, 3, -5, 14, 0, -17, 18, 0, -37, -10, 3, 1, 3, 7, 0, -30, -15, -7, -15, 1, -2, 0, 1, 4, -2, -17, -12, 36, 0, -23, -17, 6, -10, -1, 6, 0, -21, -3, -8, -16, -9, 18, 0, 15, -17, 3, 6, -48, 12, 0, -13, 22, 6, -2, 18, -3, 0, -3, 11, 3, -16, -3, -2, 0, -14, 22, 28, -15, -38, -9, 0, -15, -16, -3, -21, 2, 5, 0, 29, -14, -3, -10, 0, 0, 0, 17, 26, -42, -18, -36, 27, 0, -11, 19, 37, -27, -11, 10, 0, -3, -3, 17, -39, -1, -35, 0, -3, -19, 42, -7, -34, 11, 0, 6, -19, 30, -20, -24, 15, 0, -26, 7, 2, 8, 15, 27, 0, -1, -12, -6, 2, -24, -3, 0, -16, 53, -1, -46, 18, -4, 0, 6, 2, 26, -49, 17, -3, 0, 12, 3, 44, -36, -82, -35, 0, -24, -34, 23, -4, 44, 17, 0, 10, -6, 34, -18, 10, 22, 0, 1, 14, 11, -6, -9, -4, 0, -70, -55, 21, 96, -8, 3, 0, 46, 8, -106, -45, 16, -16, 0, 9, -29, -6, -18, -13, 3, 0, -20, 40, -15, -89, -42, 17, 0, 50, -3, 18, 23, -6, -22, 0, 48, 23, 8, -12, -97, -30, 0, 14, -56, 13, 21, -12, -22, 0, -31, -6, -55, -6, 2, -111, 0, -18, 51, 34, 3, -34, -15, 0, -37, -68, 3, -38, 12, -11, 0, -43, -3, -20, -9, 16, 50, 0, 3, 1, -54, 2, -67, -13, 0, -102, 0, 14, 3, 0, -22, 0, -6, -28, -62, -58, 15, 29, 0, 38, 72, 9, 9, 11, 4, 0, 10, 4, 15, -20, -93, 16, 0, -10, 3, -19, -38, 21, 40, 0, -2, -17, 56, -5, -3, 43, 0, 29, 80, -29, 45, 12, 14, 0, 40, 3, -44, -3, 10, -17, 0, 0, 78, 38, 0, 27, 26, 0, -79, -92, -17, 17, 60, -26, 0, -5, 42, -8, 7, 18, -30, 0, 36, -17, -70, -27, 51, 34, 0, 8, 22, 11, 4, 46, -19, 0, 5, -37, -48, 4, 27, -15, 0, 11, 50, -10, -10, -16, 18, 0, 44, -17, 3, -23, 12, 3, 0, 24, -17, 16, 6, 39, 55, 0, 1, 38, 81, 35, -36, -26, 0, -63, 12, 3, 73, 4, 19, 0, 20, -42, 88, 8, 7, -61, 0, 34, -56, 1, -11, 22, 66, 0, -85, -21, -6, 30, -34, 19, 0, 84, -30, -28, 39, 20, -58, 0, 24, -7, 58, -15, -17, -62, 0, -75, 4, 26, 60, 18, -7, 0, 101, -2, 0, 76, -8, -43, 0, -15, -36, -54, -27, -21, 16, 0, 3, 12, 1, 101, 86, 12, 0, -85, 6, -18, 30, -2, 26, 0, 24, -49, 99, 3, -68, 48, 0, 40, 6, 16, 56, 20, -53, 0, -17, 1, -114, 99, 46, -26, 0, -18, 7, 9, 4, -6, 41, 0, -28, 16, -6, 6, 89, -2, 0, -2, -26, -80, 9, 49, 12, 0, -17, 10, 8, 3, -99, -98, 0, -18, 51, -12, 144, 98, -3, 0, 125, -44, -68, -36, 36, -53, 0, 82, 51, 38, 35, 13, -59, 0, -19, -35, 24, -70, 78, 34, 0, -9, -23, 23, 94, 4, 44, 0, -44, 6, 43, -17, 61, 3, 0, 11, 6, -10, 46, 134, 6, 0, 91, -34, 15, 95, 18, 31, 0, -10, -96, -69, -22, 27, -10, 0, 98, 25, -1, -12, -4, -14, 0, 35, -11, -14, -112, 6, 77, 0, 9, 8, 16, 4, 26, -38, 0, -23, 68, 70, 10, 82, 55, 0, 88, -21, 7, -13, -96, -57, 0, 8, 36, -26, -3, 20, 26, 0, -136, -8, -46, 89, 52, -8, 0, -8, 106, 51, 32, 45, -42, 0, -16, 6, -87, 16, -31, 68, 0, 95, 48, -9, 60, 103, 29, 0, -25, 6, -56, -45, 18, -11, 0, 13, 98, 41, -3, -41, 102, 0, -37, -54, 20, 42, 11, -40, 0, 23, 15, -87, 78, 89, 0, 0, 42, -22, -111, -17, 36, 11, 0, 50, 13, -50, 104, 49, 3, 0, 129, -18, 22, 32, -23, -11, 0, 6, 67, -50, 22, 9, -133, 0, -3, -46, -48, -81, 12, -23, 0, -102, -8, 71, 16, 12, -2, 0, 97, 47, -15, 30, 140, -66, 0, 74, -25, -14, 72, -10, 56, 0, -84, -13, -52, 110, -21, -59, 0, 12, 51, 63, 22, -91, 0, 0, -26, -186, 31, 14, -15, 6, 0, 28, 55, -79, 34, 6, 196, 0, -2, 36, 29, 111, 90, -93, 0, 73, 28, 18, 101, -50, -51, 0, 40, -34, 6, -18, -3, -18, 0, 34, 48, -186, 15, -97, 25, 0, 56, 24, 37, -26, -15, 68, 0, -12, -3, 46, -80, 38, 75, 0, -12, -83, -32, 11, 2, -18, 0, -6, 48, 43, 94, 8, 3, 0, 41, 20, -4, 5, 9, -201, 0, -16, 16, 130, -50, -8, -170, 0, 62, 37, -3, 42, 12, -1, 0, 156, 54, -82, 42, -2, -14, 0, 67, 99, -126, 13, 94, -19, 0, 5, -89, 102, 29, 28, 0, 0, 112, -14, 64, 6, -3, -17, 0, 0, 122, 24, 22, 25, 80, 0, -89, -68, 6, -66, 42, 28, 0, -36, 62, 56, -112, 58, -44, 0, -15, -52, 17, -29, -90, -3, 0, 65, 60, -38, -20, -56, -72, 0, 104, -9, 80, 82, -9, -11, 0, -11, -59, -62, -4, -18, -24, 0, -4, 85, -10, -82, -38, -4, 0, -90, -15, 32, 6, 20, 42, 0, 93, -67, -16, -16, -90, 11, 0, 37, 109, 10, 128, -72, -3, 0, -76, 19, 18, -37, 38, -96, 0, -21, 121, 76, -40, -54, -74, 0, -22, 37, 2, 85, -90, 17, 0, 60, -56, -125, -10, 5, -93, 0, 3, -14, -24, -43, 60, -34, 0, -69, 88, -29, 10, -38, -80, 0, -80, 29, 10, -64, -45, 7, 0, -12, 53, 112, -14, -5, -76, 0, -93, -150, -40, 31, -30, -3, 0, -14, 44, -83, 79, 3, 69, 0, -10, -64, 49, 17, -11, -40, 0, -91, 172, 0, -4, 44, -78, 0, -1, -38, -77, 46, 0, -13, 0, -27, -84, 88, -26, -17, 188, 0, -13, -76, 79, -71, 2, 92, 0, 68, 17, -3, 37, -17, -106, 0, -60, 23, -51, 26, 96, 64, 0, 222, -114, 5, -21, -50, -42, 0, -68, 8, 90, 90, -7, -79, 0, -18, -125, -81, 30, -48, 36, 0, -12, 110, -36, -45, 46, 17, 0, 122, 70, -45, -85, 27, 126, 0, -51, -68, -211, -34, 7, -18, 0, -86, 99, -8, 31, 9, -22, 0, 47, -11, 46, -50, -4, -33, 0, -46, 30, -95, 19, -99, -40, 0, -10, -122, -5, -130, 16, 37, 0, -146, 48, 108, 78, -4, 159, 0, -27, 49, -83, 15, 23, -84, 0, -8, 14, -11, -68, -18, -50, 0, 46, 10, -94, 36, 10, -144, 0, 16, 33, 37, -18, 126, 7, 0, 71, -76, -44, 37, -26, 17, 0, 36, -3, -87, 64, 23, 149, 0, -12, -60, 162, -3, 110, -67, 0, 15, -102, -24, 1, -73, 17, 0, -198, -16, 134, -55, -6, -59, 0, -39, -85, -48, -55, 85, 41, 0, 110, 63, -1, -66, 55, -38, 0, -54, -81, -94, -193, -35, 4, 0, 36, 38, -126, 26, -2, 180, 0, -14, 39, 63, -82, 2, -12, 0, -56, -3, -248, -108, -73, 5, 0, -4, 80, 186, -19, 71, -9, 0, 183, -81, -20, -180, -106, 42, 0, -4, -88, 58, 54, -8, -104, 0, -7, 86, 72, 61, 10, -34, 0, 42, 92, -34, -114, 18, 56, 0, -205, -1, 64, -64, 11, 56, 0, -22, -118, -178, -66, 37, -16, 0, -180, -48, 85, 8, -102, 21, 0, -180, 6, 127, -4, -30, 25, 0, 34, -142, 137, -19, 20, -36, 0, 94, -34, -84, -100, -32, 30, 0, 40, 28, -7, 0, -39, 2, 0, -20, -79, 44, 58, 36, 52, 0, 193, 102, -24, -119, -91, 7, 0, 152, -58, -34, -82, 15, 89, 0, 17, 48, 154, 62, -104, 45, 0, -191, -87, 75, 140, -52, -4, 0, -66, -26, 99, 92, -60, 38, 0, -18, 5, 12, 7, -123, -108, 0, -154, 44, -101, -70, 60, 2, 0, 41, 0, -49, -100, -76, 69, 0, 8, -7, -36, 43, -36, 92, 0, 109, 174, 15, 53, 104, 36, 0, -12, 54, 155, 97, 27, -102, 0, 21, -171, -90, -16, -22, 60, 0, -104, 61, -3, -22, 98, -12, 0, 38, -1, 83, -41, -101, -68, 0, -86, 53, 208, -12, 35, 101, 0, -113, 23, 85, -22, -84, -6, 0, -120, 18, -62, -52, -30, 16, 0, 2, -88, -126, -26, -19, -7, 0, 50, 28, -24, 17, -118, 49, 0, -183, -99, -71, 2, -3, -77, 0, 68, 206, 42, -48, 188, 6, 0, 146, -96, -40, 105, 104, -6, 0, -4, -16, 28, -98, -56, -62, 0, -20, -64, 228, 53, -117, 88, 0, 184, 34, 17, 72, -6, -1, 0, 10, 114, 29, -39, -99, 111, 0, -46, -83, 188, 26, 24, -26, 0, 5, 6, 18, -126, 70, -7, 0, 202, -9, 1, -104, -4, 11, 0, 6, -226, -152, -41, -204, 23, 0, 50, 84, 28, -134, -274, -16, 0, -176, 6, 152, -58, -6, 223, 0, -89, 85, 10, 2, 191, 120, 0, -49, -93, 2, -172, -19, 26, 0, -35, 80, 86, 58, -9, 91, 0, -49, -48, -4, -12, 48, -38, 0, -226, -136, 17, -53, -288, -10, 0, 147, -8, 131, -68, -3, 104, 0, 99, 21, -162, 98, 105, 96, 0, -82, -192, 18, 142, 40, -51, 0, -272, 12, 63, -4, -144, 89, 0, -98, 134, -42, 3, 4, -21, 0, 38, 224, -125, -216, 13, 44, 0, 10, 68, 38, 43, 36, 80, 0, -36, 91, -82, 53, 50, 8, 0, 130, 103, -82, -16, -116, -51, 0, 58, -38, 196, -72, -35, -47, 0, -13, -67, -82, 59, 65, -128, 0, 16, -85, 19, 112, 80, 35, 0, -83, -24, 192, -180, 70, 42, 0, -78, 108, 210, -34, 104, 132, 0, 1, -22, 9, -81, 28, 23, 0, -214, -23, -78, -22, -94, 27, 0, -4, -276, -98, -44, -78, -103, 0, 48, -69, 44, 6, -18, -6, 0, -71, -43, -47, -25, 17, 162, 0, -61, -98, -110, -3, 11, -18, 0, 252, -140, -11, -35, -120, -6, 0, -59, 10, -128, 154, -46, -9, 0, -134, 46, 133, -6, -96, -28, 0, 50, 31, -91, -16, -123, 34, 0, 40, -15, 10, -74, -95, -36, 0, -18, -255, -223, -31, 80, -69, 0, 85, -61, 10, 122, 24, 96, 0, -143, 69, 58, 17, 22, 84, 0, -27, -36, -43, 10, 85, -36, 0, 64, 44, -98, 0, 38, -25, 0, -95, 1, 10, 27, 12, -3, 0, 4, -74, 96, 14, 163, 124, 0, 105, -68, -35, -162, 84, 11, 0, 148, 14, -20, -24, 112, -17, 0, -6, -92, 196, -77, 26, 76, 0, -282, -62, -9, -175, -10, -8, 0, -35, -16, 129, 37, -4, 52, 0, -26, 62, 48, 38, 16, 54, 0, -50, 64, 23, -221, -9, -68, 0, 45, -70, 36, 58, -10, 92, 0, -82, -198, -2, -55, -12, -108, 0, -84, 0, -88, -110, -202, 21, 0, -74, -7, -27, -201, 13, 10, 0, 96, 48, -118, 57, -97, 54, 0, -58, 82, -8, 17, -167, -36, 0, -264, 26, -14, -24, 3, -50, 0, -20, 62, 247, -26, 100, 42, 0, -11, 13, 136, -9, -204, 8, 0, -64, 46, 100, -103, -89, 170, 0, -52, 54, 142, 8, -116, -88, 0, -295, -80, 8, -22, 25, -106, 0, 46, -51, 126, 193, -32, -33, 0, -45, 40, -224, 42, 22, -136, 0, -202, 109, 16, -77, -85, -6, 0, 94, 87, -169, -190, -16, 18, 0, 31, -78, -184, -68, -24, -6, 0, 201, 126, -95, -22, -18, -48, 0, 2, 9, 288, -19, -60, -139, 0, -103, 2, 280, -29, -104, -100, 0, -228, -108, 25, 110, -173, -6, 0, 219, 56, -18, -13, 45, -44, 0, -18, 35, -240, 11, 114, 351, 0, 92, 151, -13, 146, -60, -98, 0, 30, -41, 242, 21, 3, 67, 0, 41, -166, -24, -102, -47, 34, 0, 63, 81, 37, -8, -167, 54, 0, -50, -20, 13, 36, -42, -77, 0, -11, 84, 135, 40, 198, -56, 0, 160, 50, -23, 12, -120, -15, 0, 52, 87, 58, 102, -78, -41, 0, -89, 3, -48, 0, 140, 17, 0, 62, -42, -42, -119, 245, 22, 0, -12, 111, 88, 82, 17, -160, 0, -36, 165, -84, -11, -144, 176, 0, 105, -69, -50, -94, 172, -13, 0, 298, 50, -88, 139, -104, 164, 0, -49, -52, -204, -3, 15, -3, 0, 91, 44, -129, -156, 70, 18, 0, 63, -22, 92, 184, -32, 37, 0, 23, 143, -34, 11, 74, -160, 0, 16, 39, -6, -6, -168, -67, 0, -101, 50, 82, 18, -22, -156, 0, -9, 12, -8, 133, -7, -82, 0, 42, -68, 3, -47, -189, 46, 0, -52, 48, -63, -35, 81, 17, 0, -12, 62, -188, 23, 26, -20, 0, -37, -152, 102, -232, 2, 8, 0, -57, -71, -14, 30, -16, -15, 0, -12, 158, 143, 2, -14, -176, 0, 161, 170, -97, -70, -38, -47, 0, 120, 15, 46, -53, -30, 227, 0, -140, 97, -51, 66, 46, 179, 0, 98, -34, -74, 29, -16, 25, 0, -21, 14, 125, 94, -72, 50, 0, 10, -257, -120, -56, 115, -138, 0, 136, -280, 84, -72, 40, 13, 0, 9, 52, -77, -22, -110, 65, 0, 21, -8, 48, 59, 88, -112, 0, -117, 162, -12, -266, -178, -51, 0, -144, -63, -24, 116, -22, -28, 0, 91, 40, 21, 0, -239, 16, 0, 362, -68, 26, 40, -131, 186, 0, -99, -31, 48, 183, -14, 35, 0, 15, 102, 91, -6, 252, -12, 0, -167, -384, -28, 20, -90, -55, 0, 80, 79, 44, -136, -34, 80, 0, -6, -126, 38, -196, 126, -2, 0, 142, 154, 2, 135, -50, -36, 0, 48, -29, -75, -35, -111, -301, 0, -90, -157, -234, 93, 9, 216, 0, -188, 73, -73, 4, 132, -28, 0, -230, -18, 236, 44, -101, -30, 0, 50, -130, 6, 51, 63, -109, 0, 60, 216, -40, -128, 297, 34, 0, -217, -6, -198, 170, 18, -48, 0, 3, 282, 114, 18, 99, 18, 0, 108, 15, -34, -22, 140, -48, 0, 51, 186, 161, 150, -15, 23, 0, 97, 86, -152, -25, -21, 34, 0, -109, 24, -56, 16, -96, -24, 0, -166, -37, -85, 55, 26, -68, 0, 15, 77, 305, -68, 115, 46, 0, 57, 2, 12, -79, 74, 3, 0, 166, -46, -103, -118, 80, 265, 0, -38, -158, -320, -75, -44, -232, 0, 273, 264, 12, -127, 74, 83, 0, 21, 32, -2, -176, -11, -46, 0, -2, -166, -4, 18, 200, -60, 0, 44, -40, 6, 19, -56, -48, 0, 38, -43, -2, -40, -94, 39, 0, -8, -114, -110, -3, -57, 132, 0, 164, -9, -41, 160, -76, -20, 0, -62, 4, 324, 0, -5, -198, 0, -9, -8, -111, 201, 207, -114, 0, 0, -137, 16, 111, -94, -16, 0, 16, -130, -74, -116, 50, 167, 0, 8, 150, -8, 170, -170, 136, 0, -64, 338, -62, -138, 112, -37, 0, 62, 3, -92, -121, -42, 288, 0, -12, -29, 2, 1, -160, 168, 0, 41, -206, -156, 128, 71, -54, 0, -18, 82, -110, 35, -42, -67, 0, 2, 337, 0, 14, 118, -220, 0, -214, 84, -67, -188, 24, -99, 0, 35, 126, 74, -18, -13, -92, 0, -94, -53, -318, 19, 100, 3, 0, 74, -36, -5, 298, 76, 89, 0, 192, -102, 170, 222, -29, -59, 0, -28, -20, -57, 0, 58, -346, 0, 10, -132, -112, 83, 95, 14, 0, -344, -64, 16, -25, -6, -47, 0, 3, 72, 244, 17, 68, 132, 0, 351, 34, 0, 12, 66, -122, 0, 134, -24, -86, -131, -22, 97, 0, -25, -148, -129, -80, -41, -91, 0, 122, -108, 89, 138, 0, 68, 0, -28, -6, 115, -25, 66, -82, 0, -42, -45, 100, -28, -76, -151, 0, -66, 51, 36, -202, 130, -62, 0, 87, -56, -85, -182, 112, -126, 0, -58, 24, -20, 44, -55, 302, 0, 78, 206, 15, 32, 141, 52, 0, 8, -17, -32, -113, 29, -148, 0, 90, 118, -200, 3, 157, 10, 0, 200, -148, -65, 75, -69, -60, 0, -400, 38, -132, -26, 20, -182, 0, 56, -156, 48, 72, 171, 113, 0, 224, 96, -104, -22, 15, 9, 0, -222, -80, -118, 49, -82, 42, 0, 9, 89, 299, 11, 50, -148, 0, 236, 62, 11, 154, -84, 59, 0, 60, 62, -112, 162, 4, 80, 0, 18, -141, -4, 24, 139, 114, 0, -116, 4, 4, 11, -79, -85, 0, -10, 10, 115, 71, 82, -148, 0, 38, -143, 36, 4, -148, -101, 0, -211, -103, 90, 154, -244, 15, 0, 107, -32, 92, 178, -6, -174, 0, -20, 10, 100, -42, -27, -255, 0, -7, 57, -93, 49, 306, 67, 0, 6, 16, 209, -193, 16, 328, 0, 90, 136, -155, -11, -54, 237, 0, -140, 74, -37, -7, 46, -109, 0, 17, -10, -238, 104, -128, -12, 0, 72, -118, 466, 3, 129, -147, 0, -79, 11, 76, 47, 46, -19, 0, 200, -18, -184, 275, 37, -96, 0, -38, 11, 1, 96, 151, 11, 0, -158, 112, 21, -19, -54, -121, 0, -182, -76, 144, 58, 40, -51, 0, 54, -154, 36, 74, 236, 10, 0, 82, -100, 22, 66, -143, -37, 0, 64, -2, -154, 128, -85, 104, 0, 90, -89, 24, -17, 213, 68, 0, 250, -16, -60, -38, 6, 56, 0, 27, 125, 62, 188, 10, 49, 0, -5, -79, -118, 93], "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": "483.2.i.f", "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, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [1, 0, 0, 0, 0, 0], [1, -2, 0, -2, -1, 0], [-2, 0, 0, 0, -2, 0], [-1, 0, -1, 0, 0, 0], [0, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, -1], [-3, 1, -2, 1, 1, 1], [3, -1, 0, -1, 1, 0], [0, -1, 0, 0, 0, 0], [1, -1, 2, 0, 0, -2], [2, 2, 1, 1, 3, 0], [0, 0, 0, 0, 0, 0], [-4, 4, -2, 2, 2, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, 3, -1, 2, 3, 1], [-5, 2, -2, 2, 1, -1], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-2, 1, 0, 1, 2, -2], [-1, 2, 0, 2, 1, 0], [-2, -2, -1, 0, 0, 0], [0, 2, 0, 1, -2, 0], [2, 0, 0, 0, 2, 0], [4, -3, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [-2, 1, -1, 1, 0, 2], [3, -1, 1, 0, 0, -2], [0, -1, 0, 0, 1, 1], [-1, -3, 1, -1, -2, -1], [2, 3, -2, -1, 0, 2], [0, 0, 0, 0, 0, 0], [-7, -1, -2, 0, 0, 2], [-2, 2, -2, -2, 0, -2], [0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0], [2, 0, 0, -3, 0, -2], [3, -1, 2, -1, -1, -1], [0, 0, 0, 0, 0, 0], [-1, -4, 0, -5, -5, -1], [-3, 1, 0, 1, -1, 0], [-2, 3, -1, 0, -1, -1], [-2, 2, -1, -3, 1, -2], [0, 1, 0, 0, 0, 0], [-2, 2, -4, -2, 2, -2], [0, 0, 0, 0, 0, 0], [-1, 1, -2, 0, 0, 2], [2, 1, 1, -1, -3, -3], [0, 1, 0, -1, 0, -4], [-2, -2, -1, -1, -3, 0], [0, 2, 0, -4, -2, 0], [6, 3, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-3, -1, 0, -1, -1, -3], [-5, 3, -2, 1, 1, 0], [4, -4, 2, -2, -2, 0], [-1, 0, 2, 0, 2, 1], [3, -5, 3, -1, -2, 1], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-7, 3, -2, 3, 3, 1], [0, 0, 0, -1, 0, 0], [-5, 1, -5, 1, 3, 3], [-2, 0, -1, -2, -1, 1], [1, -3, 1, -2, -3, -1], [1, 0, -3, 1, 0, 2], [0, 0, 0, 0, 0, 0], [5, -2, 2, -2, -1, 1], [3, -4, 3, -5, -7, 1], [0, 0, -1, 1, -3, 0], [1, 0, 0, 0, 0, 0], [-10, -1, -3, 1, 1, 3], [4, 0, 3, 0, -3, -1], [0, 0, 0, 0, 0, 0], [1, -6, 3, 0, -4, 2], [3, 7, 1, 0, 0, 2], [2, -1, 0, -1, -2, 2], [0, 0, 2, 2, -2, 0], [5, -3, 1, -2, 0, 2], [1, -2, 0, -2, -1, 0], [0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 0], [2, 2, 1, 0, 0, 0], [-3, 3, 0, 5, 3, 1], [-1, 2, 2, -3, 3, -1], [0, -2, 0, -1, 2, 0], [0, -4, -2, 0, -4, 2], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, -2, 0], [-1, 6, 1, 7, 4, 2]]}