# Stored data for newform 8030.2.a.bc, downloaded from the LMFDB on 24 April 2024.
{"label": "8030.2.a.bc", "space_label": "8030.2.a", "level": 8030, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599936350, "dim": 11, "is_polredabs": true, "trace_hash": 1900213680447220014, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [95, -503, 632, 309, -788, -60, 360, 28, -71, -10, 5, 1]], [7, [-48, 880, 1599, -557, -1983, -433, 626, 250, -51, -29, 1, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+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": 32120, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 64.11987282308814, "hecke_ring_index": 1, "level_radical": 8030, "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": [8030, 1, [1607, 2191, 881], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 11, 73], "conrey_indexes": [1], "field_disc": 24730042153795997632, "field_disc_factorization": [[2, 6], [41222843, 1], [9373611341, 1]], "field_poly": [-95, -503, -632, 309, 788, -60, -360, 28, 71, -10, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.395", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "195.215", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6929.105", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 11, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [11, -1], [73, 1]], "trace_display": [-11, -5, 11, -1], "traces": [0, 11, -11, -5, 11, 11, 5, -1, -11, 12, -11, 11, -5, -8, 1, -5, 11, -15, -12, 5, 11, 0, -11, -24, 5, 11, 8, -32, -1, 10, 5, 7, -11, -5, 15, -1, 12, -24, -5, 3, -11, 10, 0, -14, 11, 12, 24, -8, -5, -18, -11, 22, -8, -30, 32, 11, 1, -32, -10, 8, -5, -26, -7, -5, 11, -8, 5, -24, -15, -25, 1, 16, -12, -11, 24, -5, 5, -1, -3, 4, 11, -13, -10, -2, 0, -15, 14, -17, -11, -11, -12, -41, -24, -15, 8, 5, 5, -37, 18, 12, 11, 20, -22, -29, 8, 0, 30, -11, -32, -14, -11, 0, -1, -56, 32, -24, 10, -4, -8, -33, 5, 11, 26, 13, 7, 11, 5, -5, -11, 6, 8, 0, -5, -24, 24, -32, 15, -62, 25, 11, -1, -17, -16, -8, 12, 10, 11, -13, -24, 4, 5, 39, -5, -30, 1, 7, 3, -74, -4, 21, -11, -16, 13, -32, 10, -5, 2, 35, 0, 3, 15, 17, -14, 2, 17, -1, 11, -44, 11, 44, 12, -2, 41, 14, 24, -24, 15, -15, -8, 22, -5, -26, -5, -28, 37, 3, -18, -3, -12, -28, -11, -39, -20, 24, 22, 10, 29, 9, -8, 5, 0, 23, -30, -52, 11, -14, 32, 7, 14, 5, 11, -45, 0, -27, 1, 12, 56, -23, -32, -95, 24, 0, -10, 37, 4, -8, 8, 1, 33, 45, -5, 10, -11, 59, -26, -18, -13, -10, -7, -13, -11, 49, -5, -24, 5, 22, 11, -14, -6, 0, -8, 12, 0, -4, 5, -30, 24, -7, -24, 13, 32, -34, -15, 44, 62, 11, -25, -44, -11, -38, 1, -28, 17, -48, 16, -32, 8, 24, -12, 0, -10, 49, -11, 14, 13, 8, 24, -32, -4, 17, -5, -39, -39, -25, 5, -26, 30, -59, -1, -4, -7, -7, -3, -11, 74, -5, 4, -23, -21, 10, 11, -34, 16, -10, -13, -8, 32, 84, -10, -29, 5, -8, -2, -62, -35, -24, 0, -46, -3, 50, -15, 7, -17, 79, 14, -25, -2, 3, -17, -12, 1, -19, -11, -87, 44, 16, -11, -16, -44, -14, -12, 18, 2, -5, -41, -11, -14, -88, -24, 35, 24, 88, -15, -17, 15, -5, 8, -51, -22, -13, 5, 74, 26, 37, 5, -1, 28, -33, -37, -17, -3, 42, 18, 51, 3, 4, 12, -19, 28, 106, 11, 49, 39, 20, 20, -13, -24, -24, -22, 7, -10, -28, -29, 33, -9, -2, 8, -90, -5, -15, 0, -53, -23, -29, 30, -15, 52, -31, -11, 3, 14, 28, -32, -136, -7, -17, -14, 89, -5, -5, -11, -47, 45, -49, 0, -11, 27, -16, -1, -91, -12, 10, -56, 61, 23, -41, 32, -93, 95, 72, -24, 20, 0, -22, 10, -15, -37, -125, -4, -19, 8, 22, -8, -14, -1, 5, -33, -143, -45, -62, 5, 60, -10, 3, 11, -37, -59, -66, 26, 92, 18, -98, 13, -64, 10, 12, 7, -79, 13, -22, 11, 74, -49, 124, 5, 20, 24, -103, -5, 89, -22, 1, -11, -85, 14, -29, 6, -8, 0, -18, 8, -93, -12, -2, 0, 0, 4, -17, -5, -55, 30, 31, -24, 85, 7, -11, 24, -87, -13, -18, -32, 33, 34, -57, 15, -14, -44, 40, -62, -28, -11, -115, 25, -48, 44, 0, 11, -59, 38, 11, -1, 22, 28, -41, -17, -56, 48, -49, -16, 90, 32, -4, -8, -11, -24, -24, 12, -176, 0, -128, 10, 33, -49, -30, 11, -4, -14, -12, -13, 1, -8, 94, -24, 21, 32, -33, 4, -90, -17, -46, 5, -2, 39, 80, 39, 11, 25, -3, -5, -141, 26, 58, -30, -30, 59, 13, 1, -64, 4, -61, 7, 53, 7, -96, 3, 11, 11, -32, -74, -30, 5, -18, -4, 10, 23, -5, 21, -105, -10, 60, -11, -35, 34, -65, -16, 6, 10, -33, 13, 8, 8, -93, -32, -94, -84, 0, 10, -12, 29, 69, -5, -30, 8, 49, 2, -24, 62, -107, 35, -62, 24, -26, 0, -30, 46, -32, 3, 34, -50, 13, 15, -80, -7, 18, 17, -62, -79, -5, -14, -35, 25, -13, 2, -5, -3, 11, 17, -148, 12, -113, -1, 179, 19, -160, 11, -17, 87, -16, -44, -110, -16, 124, 11, -58, 16, -8, 44, -148, 14, -76, 12, -5, -18, 42, -2, 10, 5, -29, 41, -84, 11, 76, 14, 26, 88, -13, 24, -24, -35, 37, -24, -202, -88, -45, 15, 4, 17, -71, -15, -84, 5, 91, -8, 99, 51, 39, 22, -228, 13, -25, -5, -11, -74, 32, -26, -30, -37, 125, -5, -72, 1, -23, -28, -22, 33, 7, 37, -52, 17, 3, 3, 16, -42, 19, -18, -74, -51, -160, -3, -56, -4, 97, -12, -29, 19, 21, -28, -88, -106, -64, -11, -86, -49, -11, -39, -16, -20, -150, -20, 19, 13, -103, 24, -53, 24, -32, 22, -138, -7, -43, 10, -32, 28, -27, 29, -5, -33, -80, 9, -204, 2, 86, -8, 68, 90, 35, 5, -31, 15, 120, 0, -27, 53, -12, 23, 3, 29, -1, -30, -103, 15, 53, -52, 5, 31, 17, 11, 0, -3, -55, -14, -41, -28, 10, 32, 2, 136, 39, 7, 4, 17, -114, 14, -146, -89, -1, 5, -60, 5, 23, 11, 51, 47, 17, -45, -44, 49, -79, 0, -82, 11, -13, -27, -29, 16, 44, 1, -140, 91, 121, 12, -77, -10, 80, 56, -2, -61, -122, -23, -68, 41, 76, -32, -2, 93, 14, -95, -122, -72, 34, 24, 87, -20, 101, 0, -24, 22, 57, -10, -139, 15, 33, 37, 24, 125, -15, 4, -183, 19, -146, -8, 22, -22, -26, 8, 22, 14, -33, 1, 8, -5, 16, 33, -25, 143, -26, 45, -17, 62, -30, -5, -124, -60, 152, 10, -28, -3, -147, -11, 97, 37, 268, 59, -53, 66, 3, -26, -103, -92, -11, -18, -65, 98, -99, -13, -3, 64, 215, -10, -9, -12, 11, -7, 34, 79, -28, -13, -22, 22, 124, -11, -41, -74, -68, 49, -39, -124, 10, -5, -19, -20, -13, -24, 135, 103, 24, 5, -84, -89, 115, 22, -151, -1, -15, 11, 10, 85, -121, -14, -84, 29, 101, -6, -80, 8, 9, 0, 25, 18, 31, -8, 33, 93, 107, 12, 5, 2, -114, 0, -107, 0, -99, -4, 82, 17, 23, 5, -82, 55, 136, -30, 63, -31, -3, 24, -52, -85, -37, -7, -149, 11, 2, -24, 65, 87, -14, 13, -230, 18, 12, 32, -67, -33, -26, -34, 7, 57, -40, -15, 12, 14, 37, 44, -198, -40, 5, 62, 70, 28, -106, 11, 87, 115, 23, -25, -45, 48, -127, -44, -15, 0, 20, -11, -85, 59, -27, -38, 34, -11, 188, 1, -38, -22, 90, -28, 12, 41, 6, 17, 41, 56, 353, -48, -29, 49, -23, 16, -155, -90, 162, -32, -34, 4, 44, 8, -95, 11, -51, 24, -4, 24, -47, -12, 62, 176, 0, 0, -101, 128, -19, -10, -8, -33, 8, 49, 37, 30, 65, -11, -49, 4, -48, 14, 151, 12, -8, 13, -11, -1, -128, 8, -101, -94, 136, 24, 1, -21, 32, -32, 29, 33, 189, -4, 36, 90, 45, 17, -151, 46, -14, -5, -49, 2, 12, -39, 10, -80, -117, -39, 118, -11, 60, -25, -67, 3, 59, 5, -139, 141, 119, -26, 0, -58, 146, 30, -18, 30, -121, -59, 132, -13, 21, -1, 147, 64, -10, -4, -116, 61, 7, -7, 15, -53, -56, -7, -13, 96, -30, -3, -131, -11, 48, -11, 87, 32, 49, 74, 112, 30, -14, -5, -58, 18, 238, 4, -24, -10, -142, -23, -51, 5, 8, -21, 105, 105, 22, 10, 129, -60, 141, 11, -17, 35, 68, -34, -14, 65, -4, 16, 62, -6, 4, -10, 320, 33, 0, -13, -78, -8, 267, -8, 36, 93, -60, 32, 12, 94, -149, 84, -33, 0, 27, -10, -97, 12, -4, -29, 78, -69, 47, 5, 60, 30, 150, -8, -30, -49, 222, -2, 109, 24, 11, -62, -142, 107, -7, -35, 6, 62, 15, -24, -52, 26, 141, 0, 13, 30, 95, -46, 55, 32, 0, -3, 13, -34, -34, 50, -85, -13, 81, -15, -62, 80, -35, 7, 44, -18, -56, -17, -33, 62, 112, 79, -9, 5, 11, 14, -89, 35, 26, -25, 111, 13, 264, -2, -44, 5, -5, 3, 105, -11, 224, -17, 22, 148, -38, -12, -5, 113, -35, 1, -53, -179, 92, -19, -28, 160, -128, -11, 64, 17, -48, -87, 150, 16, -48, 44, -208, 110, 6, 16, 56, -124, -100, -11, -32, 58, 188, -16, -138, 8, 138, -44, -19, 148, 24, -14, 20, 76, 131, -12, 0, 5, 160, 18, 0, -42, -5, 2, 55, -10, 96, -5, 88, 29, 49, -41, -22, 84, -209, -11, 112, -76, -24, -14, 14, -26, 127, -88, -7, 13, -19, -24, 204, 24, 8, 35, -2, -37, -38, 24, 220, 202, 92, 88, -32, 45, -52, -15, -74, -4, 176, -17, 218, 71, 17, 15, -9, 84, 80, -5, -6, -91, 7, 8, -39, -99, -62, -51, -23, -39, 83, -22, 121, 228, -25, -13, -11, 25, 86, 5, 97, 11, 30, 74, -26, -32, -121, 26, 11, 30, -144, 37, 0, -125, -59, 5, 1, 72, 265, -1, 113, 23, -20, 28, -4, 22, 65, -33, 72, -7, -17, -37, 294, 52, -7, -17, -41, -3, 128, -3, -121, -16, 134, 42, -11, -19, -31, 18, 155, 74, 92, 51, -8, 160, -5, 3, 153, 56, 133, 4, 101, -97, 288, 12, -23, 29, 206, -19, 23, -21, 328, 28, 45, 88, 10, 106, 114, 64, -166, 11, 7, 86, 60, 49, -34, 11, 148, 39, 64, 16, 261, 20, 63, 150, -10, 20, -13, -19, 30, -13, -107, 103, 194, -24, -8, 53, -54, -24, 170, 32, 83, -22, -94, 138, 84, 7, 136, 43, 4, -10, -281, 32, 41, -28, -29, 27, 222, -29, 168, 5, -54, 33, 185, 80, -8, -9, 69, 204, 127, -2, 39, -86, -12, 8, -62, -68, 22, -90, -96, -35, 17, -5, 280, 31, -24, -15, 221, -120, 24, 0, -171, 27, -30, -53, -46, 12, -86, -23, -95, -3, 273, -29, 70, 1, 50, 30, -255, 103, 157, -15, 155, -53, 221, 52, 7, -5, -145, -31, -53, -17, -33, -11, 146, 0, 79, 3, 118, 55, 120, 14, 43, 41, 92, 28, -25, -10, -74, -32, -24, -2, 113, -136, 258, -39, 3, -7, -40, -4, 159, -17, -64, 114, 112, -14, -12, 146, -138, 89, 21, 1, 156, -5, -263, 60, -19, -5, 101, -23, -6, -11, 139, -51, -95, -47, -87, -17, 99, 45, 81, 44, -16, -49, 82, 79, 16, 0, -40, 82, 10, -11, -6, 13, 60, 27, -16, 29, -177, -16, -3, -44, 59, -1, -32, 140, -14, -91, -197, -121, 2, -12, -44, 77, 161, 10, 18, -80, 5, -56, -76, 2, 56, 61, -80, 122, -5, 23, 62, 68, -140, -41, 153, -76, 91, 32, -11, 2, 128, -93, 134, -14, 102, 95, 112, 122, -88, 72, 35, -34, -15, -24, 76, -87, -70, 20, 35, -101, -197, 0, 139, 24, 57, -22, 294, -57, 88, 10, -51, 139, 3, -15, 3, -33, 100, -37, -17, -24, -63, -125, 172, 15, 43, -4, 0, 183, -5, -19, -33, 146, 76, 8, 17, -22, 203, 22, -51, 26, -127, -8, 222, -22, -23, -14, 266, 33, -13, -1, -49, -8, 88, 5, 44, -16, 2, -33, 74, 25, -119, -143, -19, 26, 145, -45, 4, 17, 37, -62, -93, 30, -5, 5, 235, 124, 205, 60, -1, -152, -127, -10, -21, 28, 131, 3, 50, 147, -33, 11, -75, -97, 357, -37, 149, -268, 140, -59, -17, 53, -44, -66, 68, -3, -108, 26, -28, 103, 42, 92, -31, 11, -95, 18, 171, 65, -133, -98, 51, 99, 119, 13, 44, 3, 32, -64, -121, -215, 4, 10, 295, 9, 109, 12, 140, -11, 229, 7, -19, -34, -6, -79, -52, 28, -2, 13, 36, 22, 106, -22, -4, -124, -177, 11, 48, 41, 159, 74, 49, 68, 95, -49, -102, 39, -109, 124, 14, -10, 20, 5, -49, 19, -163, 20, 314, 13, 34, 24, -13, -135, -31, -103, 56, -24, -108, -5, 7, 84, -24, 89, -161, -115, 58, -22, 188, 151, 68, 1, 7, 15, 145, -11, 72, -10, 96, -85, -11, 121, -28, 14, -15, 84, 80, -29, -294, -101, 124, 6, 33, 80, 22, -8, -84, -9, -122, 0, 127, -25, -2, -18, 24, -31, 22, 8, -62, -33, -104, -93, -90, -107, 40, -12, 121, -5, 97, -2, 139, 114, -15, 0, 279, 107, 82, 0, -26, 99, -53, 4, -53, -82, -145, -17, 167, -23, 50, -5, 4, 82, -29, -55, -10, -136, -130, 30, -125, -63, -28, 31, -15, 3, -105, -24, 73, 52, -29, 85, 40, 37, -31, 7, -84, 149, -20, -11, 106, -2, 3, 24, 3, -65, 51, -87, 28, 14, 351, -13, 136, 230, 28, -18, -35, -12, 43, -32, -212, 67, -114, 33, -136, 26, -3, 34, -101, -7, 269, -57, -13, 40, -17, 15, -160, -12, 93, -14, 211, -37, -71, -44, 89, 198, 25, 40, -28, -5, -174, -62, -278, -70, -5, -28, 167, 106, -210, -11, -55, -87, 293, -115, -47, -23, -202, 25, 39, 45, -39, -48, 168, 127, -49, 44, -169, 15, -66, 0, 71, -20, 482, 11, -11, 85, -110, -59, 87, 27, 101, 38, 24, -34, -16, 11, 130, -188, -25, -1, 216, 38, 260, 22, -91, -90, 116, 28, -202, -12, -74, -41, 45, -6, 10, -17, 37, -41, -141, -56, 60, -353, -7, 48, 61, 29, -7, -49, -84, 23, 262, -16, -143, 155, -41, 90, 9, -162, -43, 32, -346, 34, 292, -4, -93, -44, 19, -8, 112, 95, -130, -11, 81, 51, 72, -24, -117, 4, 5, -24, -128, 47, -119, 12, 20, -62, 391, -176, 104, 0, 87, 0, 163, 101, -22, -128, 283, 19, -218, 10, 23, 8, 26, 33, -15, -8, -104, -49, 112, -37, 232, -30, 82, -65, -125, 11, -241, 49, 47, -4, -56, 48, -52, -14, -19, -151, 23, -12, -127, 8, 108, -13, 91, 11, 22, 1, -10, 128, 20, -8, 32, 101, 91, 94, -14, -136, 49, -24, 75, -1, -57, 21, 46, -32, 5, 32, -86, -29, 61, -33, -25, -189, 15, 4, -143, -36, 7, -90, -38, -45, -41, -17, 172, 151, -62, -46, -195, 14, 27, 5, -105, 49, 64, -2, 60, -12, -102, 39, 5, -10, -125, 80, -254, 117, 3, 39, 194, -118, 19, 11, 213, -60, 114, 25, -37, 67, -205, -3, 15, -59, -45, -5, 283, 139, -66, -141, 72, -119, 245, 26, -28, 0, 19, 58, 92, -146, -120, -30, -232, 18, 3, -30, -27, 121, -98, 59, 8, -132, 234, 13, -86, -21, 201, 1, -64, -147, 73, -64, 45, 10, 15, 4, -115, 116, 12, -61, 60, -7, -72, 7, -162, -15, 205, 53, -79, 56, -10, 7, 33, 13, 69, -96, -99, 30, -22, 3, -23, 131, -114, 11, -150, -48, 87, 11, 74, -87, -104, -32, -14, -49, 5, -74, -26, -112, 124, -30, -21, 14, -95, 5, -92, 58, -110, -18, 20, -238, 17, -4, 105, 24, -178, 10, 176, 142, -103, 23, -192, 51, 114, -5, 0, -8, -1, 21, 89, -105, -251, -105, 216, -22, -217, -10, 143, -129, 1, 60, -178, -141, 141, -11, -244, 17, 37, -35, -85, -68, 227, 34, -12, 14, 116, -65, -46, 4, -29, -16, -28, -62, 11, 6, -94, -4, 7, 10, -8, -320, -256, -33, 69, 0, 193, 13, 101, 78, -18, 8, 106, -267, 145, 8, -115, -36, -52, -93, -93, 60, 1, -32, -174, -12, -253, -94, 238, 149, -2, -84, -190, 33, 448, 0, 53, -27, -177, 10, 0, 97, 92, -12, 45, 4, -337, 29, -152, -78, -17, 69, 211, -47, -51, -5, -138, -60, 321, -30, -55, -150, 174, 8, -40, 30, 10, 49, -134, -222, 31, 2, -77, -109, 27, -24, 112, -11, 58, 62, 85, 142, -127, -107, -29, 7, 134, 35, 59, -6, -11, -62, -139, -15, -29, 24, 119, 52, -30, -26, -87, -141, -241, 0, 18, -13, 311, -30, -20, -95, -18, 46, 71, -55, 14, -32, 24, 0, -1, 3, 33, -13, 21, 34, 25, 34, -18, -50, 164, 85, -57, 13, -10, -81, -156, 15, 4, 62, 213, -80, -14, 35, -123, -7, 156, -44, 9, 18, 84, 56, 40, 17, 116, 33, -13, -62, -219, -112, -108, -79, -28, 9, 63, -5, 306, -11, 93, -14, 42, 89, -115, -35, 58, -26, 39, 25, 49, -111, -297, -13, -48, -264, -31, 2, 20, 44, 65, -5, 38, 5, 0, -3, -14, -105, 92, 11, 91, -224, -24, 17, -59, -22, 271, -148, 140, 38, -102, 12, 324, 5, 11, -113, 134, 35, -33, -1, -315, 53, -55, 179, 22, -92, 60, 19, -65, 28, 82, -160, 23, 128, -41, 11, 49, -64, -45, -17, -122, 48, -127, 87, -56, -150, -14, -16, -271, 48, -58, -44, 353, 208, -49, -110, -204, -6, -63, -16, 111, -56, -69, 124, 90, 100, -3, 11, 0, 32, -297, -58, -142, -188, -4, 16, -15, 138, -79, -8, -77, -138, 14, 44, -11, 19, -3, -148, -15, -24, 12, 14, -213, -20, -24, -76, -6, -131, 203, 12, 75, 0, 518, -5, -176, -160, -100, -18, -303, 0, 89, 42, -4, 5, -128, -2, 11, -55, 149, 10, 275, -96, -51, 5, 33, -88, -177, -29, -45, -49, 106, 41, -250, 22, -30, -84, 39, 209, -274, 11, 80, -112, -129, 76, -4, 24, 58, 14, 55, -14, 174, 26, 139, -127, -12, 88, -7, 7, 51, -13, -158, 19, 288, 24, 1, -204, -208, -24, 163, -8, 307, -35, -110, 2, 94, 37, -226, 38, 13, -24, -231, -220, -119, -202, 21, -92, 294, -88, -275, 32, 215, -45, 454, 52, -33, 15, 11, 74, -76, 4, -34, -176, 227, 17, -90, -218, -2, -71, 41, -17, -93, -15, -10, 9, -46, -84, -3, -80, -161, 5], "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": "8030.2.a.bc", "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], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 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, 0, 0, 0], [1, 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], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 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, -1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 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, 1, 0, 1, 0, 0], [-1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0, -1, -2, -1, 1, 1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, -1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 0, 1, -1, 0, 1, 1, -1, -1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, -1, 1, 0, 0, 1, 1, -1, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 1, -1, -1, -1, -1, -1, 0, -1], [0, 0, 1, 0, 0, -1, -1, 0, 0, 0, -1], [0, 2, 0, 0, 1, -2, 0, 1, 2, -1, -1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, 0, 0, 0, 0, 1, -1, -1, 0], [1, 0, 0, -1, 0, 0, 1, 2, 1, -1, -1], [-1, 0, 0, 1, -1, -2, -1, -2, -1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0], [-3, 1, 0, 2, 0, -1, -3, -3, -1, 1, 1], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, -1, -1, 1, 0, 1, 2, 1, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, -1, -1, 2, 1, 1, 1, -1, 0], [-1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0], [-3, -1, -1, 1, -1, 1, 0, 1, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 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], [-3, 0, -1, 0, 0, 0, 1, 2, 2, 0, -1], [-1, -1, 0, 0, -1, 1, 0, -1, -1, 1, 1], [-1, 2, 0, -1, 1, 0, -2, 0, -1, 1, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 1, 0, 1, 0, -1, 1, 1, -1], [0, -1, 1, 1, -1, 0, 0, -1, -1, 1, 0], [1, -1, 0, 0, -1, 0, 1, 1, 0, 0, -2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, -2, 1, -1, 4, 3, 2, -3, 0], [-1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0], [-3, 2, -1, 0, 0, -1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [1, 1, -1, 1, 1, -2, -1, -2, -2, 0, 0], [-1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, -1, 1, 1, 1, 1, 1, 0, 1], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, -2, 0, 0, -1, 2, 0, -1, -2, 1, 1], [0, 0, 3, 1, -1, 1, 0, -2, 1, 2, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -2, 1, 0, 0, 0, -1, -1, -1, 2], [-2, 1, 0, 0, 0, 0, 0, -1, 1, 1, 0], [-1, 0, -2, 0, 1, 0, 0, 0, -2, 2, 0], [-1, 0, 0, 1, 0, 0, -1, -2, -1, 1, 1], [-1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0], [1, 0, 0, -1, 1, 2, 1, 2, 1, 0, 0], [-2, -1, -1, -1, 1, 1, -1, -2, -2, 0, 1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, -1, 1, 0, 2, 1, -2, 2, 1, 1], [-1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -1, 1, 2, -1, 0, -1, -4, 0, 0, 0], [-2, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0], [-3, 2, -2, -2, 2, 0, 0, 0, 2, -2, 1], [3, -1, 0, -2, 0, 1, 3, 3, 1, -1, -1], [0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -1, -1, 0, 0, 2, 1, 0, 1, -2], [2, -1, 1, 1, -1, 0, -1, -2, -1, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}