# Stored data for newform 8030.2.a.bb, downloaded from the LMFDB on 19 April 2024.
{"label": "8030.2.a.bb", "space_label": "8030.2.a", "level": 8030, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972565854, "dim": 8, "is_polredabs": true, "trace_hash": 1966147734192332962, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -17, -16, 32, 23, -20, -8, 3, 1]], [7, [-1, -32, -135, 222, 72, -66, -17, 4, 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": 3, "inner_twist_count": 1, "level_primes": [2, 5, 11, 73], "conrey_indexes": [1], "field_disc": 1576277433968, "field_disc_factorization": [[2, 4], [47, 1], [2096113609, 1]], "field_poly": [-1, 17, -16, -32, 23, 20, -8, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.040", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "150.272", "prec": 24}, {"__RealLiteral__": 0, "data": "28.360", "prec": 20}, {"__RealLiteral__": 0, "data": "5158.891", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [11, -1], [73, 1]], "trace_display": [8, -3, -8, -4], "traces": [0, 8, 8, -3, 8, -8, -3, -4, 8, 1, -8, 8, -3, -7, -4, 3, 8, 2, 1, -1, -8, 7, 8, -16, -3, 8, -7, -21, -4, -5, 3, -22, 8, -3, 2, 4, 1, -9, -1, -18, -8, 6, 7, 15, 8, -1, -16, -7, -3, -6, 8, 1, -7, -11, -21, -8, -4, -17, -5, -11, 3, -22, -22, 1, 8, 7, -3, 21, 2, 1, 4, -28, 1, -8, -9, -3, -1, -4, -18, -28, -8, 12, 6, -5, 7, -2, 15, 36, 8, -17, -1, -29, -16, 42, -7, 1, -3, 1, -6, 1, 8, -26, 1, -27, -7, -7, -11, -2, -21, -44, -8, 1, -4, 15, -17, 16, -5, 11, -11, -32, 3, 8, -22, -39, -22, -8, 1, -36, 8, -50, 7, 19, -3, 39, 21, 21, 2, 40, 1, 5, 4, -33, -28, -7, 1, 5, -8, -58, -9, -56, -3, -32, -1, -46, -4, 22, -18, 29, -28, -60, -8, 0, 12, 3, 6, 3, -5, -8, 7, 19, -2, -21, 15, -46, 36, -4, 8, 13, -17, -41, -1, -28, -29, 50, -16, 9, 42, 2, -7, 7, 1, -24, -3, -37, 1, 18, -6, -30, 1, -71, 8, -8, -26, -37, 1, -6, -27, 29, -7, -1, -7, 9, -11, 65, -2, -15, -21, -12, -44, 3, -8, 7, 1, -1, -4, 1, 15, 25, -17, -52, 16, 7, -5, -66, 11, 7, -11, -49, -32, -18, 3, -26, 8, -11, -22, 6, -39, -66, -22, -4, -8, 15, 1, -16, -36, -1, 8, 62, -50, -85, 7, -60, 19, -13, -3, 11, 39, -53, 21, -33, 21, -5, 2, 86, 40, 8, 1, -51, 5, -80, 4, 9, -33, -4, -28, 17, -7, -62, 1, -34, 5, -1, -8, -10, -58, 11, -9, -21, -56, -77, -3, -73, -32, 49, -1, 22, -46, -38, -4, 30, 22, -77, -18, -40, 29, -1, -28, 7, -60, -5, -8, -88, 0, -25, 12, -7, 3, 16, 6, -5, 3, 95, -5, 66, -8, -21, 7, 7, 19, 4, -2, -22, -21, -14, 15, -1, -46, 13, 36, -57, -4, 0, 8, -39, 13, 28, -17, -9, -41, -30, -1, 51, -28, -3, -29, 8, 50, -6, -16, 53, 9, 17, 42, 31, 2, 3, -7, -13, 7, 58, 1, 21, -24, 35, -3, 4, -37, 87, 1, 9, 18, 6, -6, -34, -30, 28, 1, -74, -71, -103, 8, -15, -8, 16, -26, -12, -37, -9, 1, -2, -6, -62, -27, 101, 29, 5, -7, 30, -1, 21, -7, 12, 9, 29, -11, 2, 65, -30, -2, -18, -15, -27, -21, -41, -12, -36, -44, 41, 3, -23, -8, 60, 7, 25, 1, 17, -1, -7, -4, 3, 1, 6, 15, -92, 25, 29, -17, -25, -52, 55, 16, 16, 7, 18, -5, -42, -66, 16, 11, 15, 7, 17, -11, 15, -49, -1, -32, 17, -18, 34, 3, 62, -26, -55, 8, -1, -11, 116, -22, -89, 6, 123, -39, 15, -66, -1, -22, 44, -4, -28, -8, -59, 15, -63, 1, 26, -16, -77, -36, -139, -1, 4, 8, 129, 62, 27, -50, -7, -85, 100, 7, -49, -60, -66, 19, 7, -13, 116, -3, 10, 11, 20, 39, 97, -53, 2, 21, 45, -33, -6, 21, -24, -5, 59, 2, 44, 86, -38, 40, -135, 8, -16, 1, 48, -51, -1, 5, -1, -80, 83, 4, 1, 9, 53, -33, -15, -4, -108, -28, 36, 17, 37, -7, -29, -62, -16, 1, -11, -34, 73, 5, 73, -1, -11, -8, -11, -10, -41, -58, -96, 11, 34, -9, 106, -21, 32, -56, 155, -77, -39, -3, 77, -73, 83, -32, -8, 49, -129, -1, 38, 22, 62, -46, 9, -38, 39, -4, -5, 30, -41, 22, 37, -77, 3, -18, 8, -40, -17, 29, -17, -1, -81, -28, -13, 7, 36, -60, 10, -5, -124, -8, -54, -88, 24, 0, 50, -25, 26, 12, -11, -7, -22, 3, -76, 16, -19, 6, -1, -5, -9, 3, -92, 95, 49, -5, -39, 66, -3, -8, 6, -21, -22, 7, -12, 7, -21, 19, -59, 4, 57, -2, 96, -22, 55, -21, -40, -14, 31, 15, 75, -1, -18, -46, 1, 13, -5, 36, 62, -57, 56, -4, 76, 0, -163, 8, 33, -39, 22, 13, -77, 28, 212, -17, 60, -9, 7, -41, 79, -30, 1, -1, 61, 51, 120, -28, -5, -3, 81, -29, 10, 8, -48, 50, 42, -6, 58, -16, 21, 53, -47, 9, 251, 17, 8, 42, 56, 31, -2, 2, -52, 3, 112, -7, 51, -13, 32, 7, 5, 58, 1, 1, 16, 21, 60, -24, 46, 35, -86, -3, -9, 4, -137, -37, 7, 87, -22, 1, 205, 9, -121, 18, -28, 6, 84, -6, -29, -34, -42, -30, 95, 28, -47, 1, 30, -74, 60, -71, -139, -103, 0, 8, 167, -15, -8, -8, 0, 16, 60, -26, -93, -12, -58, -37, -34, -9, -3, 1, -39, -2, -201, -6, 81, -62, 48, -27, -3, 101, 8, 29, -12, 5, 204, -7, 26, 30, 8, -1, 72, 21, -65, -7, -65, 12, 113, 9, -19, 29, -4, -11, -119, 2, 23, 65, 9, -30, 21, -2, 96, -18, -40, -15, 155, -27, -57, -21, 46, -41, 66, -12, -28, -36, -83, -44, -36, 41, 4, 3, 82, -23, -35, -8, -29, 60, 84, 7, -13, 25, 81, 1, 106, 17, 12, -1, 26, -7, 41, -4, 94, 3, 8, 1, 16, 6, 134, 15, 28, -92, -45, 25, 92, 29, 22, -17, -5, -25, -50, -52, -59, 55, -61, 16, 151, 16, 75, 7, -9, 18, 11, -5, -162, -42, 88, -66, 82, 16, -2, 11, 22, 15, -52, 7, 30, 17, -108, -11, -7, 15, 79, -49, 7, -1, -13, -32, 73, 17, 24, -18, 36, 34, -90, 3, 64, 62, 110, -26, 37, -55, 45, 8, -22, -1, 91, -11, -77, 116, -18, -22, 148, -89, -17, 6, -61, 123, -34, -39, 30, 15, -39, -66, -51, -1, 49, -22, -47, 44, 71, -4, 112, -28, -125, -8, -29, -59, -130, 15, 8, -63, 137, 1, 170, 26, 58, -16, -101, -77, 37, -36, 4, -139, 2, -1, 23, 4, 42, 8, 6, 129, 13, 62, -13, 27, -81, -50, 53, -7, -29, -85, 124, 100, -117, 7, 109, -49, 96, -60, 1, -66, 86, 19, 111, 7, 5, -13, 216, 116, -9, -3, 26, 10, 30, 11, 116, 20, 12, 39, -65, 97, 1, -53, -156, 2, 130, 21, 104, 45, 15, -33, 222, -6, -115, 21, 65, -24, -198, -5, 12, 59, -42, 2, 1, 44, -22, 86, -4, -38, -3, 40, 99, -135, -49, 8, 185, -16, 21, 1, -7, 48, -139, -51, 26, -1, -26, 5, -46, -1, 1, -80, -3, 83, -92, 4, 146, 1, -70, 9, -1, 53, 68, -33, -8, -15, -21, -4, -27, -108, -25, -28, 15, 36, -138, 17, -61, 37, 25, -7, 52, -29, -6, -62, -6, -16, 149, 1, 111, -11, -7, -34, 184, 73, -40, 5, -59, 73, 34, -1, 66, -11, -75, -8, 106, -11, -64, -10, 19, -41, -7, -58, -2, -96, 16, 11, 6, 34, 7, -9, 49, 106, 26, -21, -21, 32, 55, -56, 90, 155, 18, -77, 239, -39, -44, -3, 199, 77, -30, -73, 26, 83, 10, -32, 8, -8, 82, 49, -81, -129, 11, -1, 46, 38, -55, 22, 1, 62, -74, -46, -6, 9, -1, -38, -38, 39, -60, -4, 37, -5, 66, 30, -196, -41, -175, 22, -2, 37, 15, -77, 4, 3, 64, -18, -143, 8, -108, -40, -37, -17, -15, 29, 16, -17, -210, -1, 14, -81, 25, -28, 16, -13, -46, 7, 78, 36, 10, -60, 45, 10, 1, -5, 90, -124, 0, -8, -6, -54, 175, -88, -62, 24, 11, 0, -104, 50, 2, -25, -41, 26, 85, 12, -29, -11, -65, -7, 151, -22, -105, 3, 60, -76, 42, 16, -32, -19, -119, 6, 145, -1, 13, -5, -36, -9, -160, 3, 47, -92, 36, 95, -11, 49, -85, -5, 123, -39, 8, 66, -234, -3, 53, -8, 64, 6, -11, -21, 56, -22, -131, 7, 33, -12, 69, 7, -41, -21, 45, 19, -39, -59, 5, 4, 83, 57, 206, -2, 75, 96, -73, -22, -86, 55, 2, -21, 53, -40, 125, -14, 102, 31, -8, 15, 68, 75, 26, -1, -10, -18, -53, -46, 51, 1, 1, 13, 7, -5, -18, 36, -17, 62, 80, -57, -36, 56, -169, -4, -38, 76, 64, 0, -9, -163, 130, 8, 153, 33, -70, -39, -24, 22, 4, 13, 50, -77, -50, 28, -6, 212, 0, -17, -17, 60, 61, -9, -157, 7, 115, -41, 19, 79, 62, -30, 42, 1, 44, -1, 19, 61, -274, 51, 34, 120, -141, -28, 103, -5, 63, -3, -100, 81, 1, -29, 0, 10, 13, 8, -28, -48, 39, 50, 10, 42, 109, -6, -71, 58, 58, -16, -33, 21, -11, 53, 169, -47, -125, 9, 177, 251, -263, 17, 21, 8, 80, 42, -85, 56, -101, 31, 91, -2, 77, 2, 193, -52, -67, 3, -54, 112, 171, -7, 73, 51, 40, -13, 63, 32, 60, 7, -112, 5, -49, 58, 195, 1, -82, 1, 178, 16, 29, 21, -22, 60, 85, -24, 5, 46, -21, 35, -7, -86, 38, -3, -74, -9, -122, 4, 27, -137, -77, -37, -30, 7, 45, 87, 44, -22, -33, 1, 14, 205, 77, 9, -87, -121, -191, 18, -53, -28, -144, 6, 40, 84, -38, -6, 45, -29, -268, -34, -7, -42, 1, -30, 215, 95, -153, 28, 26, -47, 76, 1, -7, 30, 100, -74, -103, 60, 186, -71, 70, -139, 5, -103, -20, 0, -118, 8, -14, 167, 26, -15, 88, -8, 102, -8, -4, 0, -63, 16, 37, 60, 25, -26, -58, -93, -87, -12, 149, -58, 75, -37, 7, -34, 27, -9, -182, -3, -62, 1, -116, -39, -16, -2, 90, -201, -56, -6, 19, 81, -74, -62, 5, 48, 178, -27, 118, -3, -151, 101, -10, 8, -95, 29, -208, -12, -85, 5, -32, 204, -49, -7, -66, 26, -6, 30, -15, 8, 103, -1, 82, 72, 21, 21, -168, -65, 16, -7, 76, -65, -46, 12, -7, 113, 148, 9, -13, -19, -160, 29, -135, -4, -4, -11, 83, -119, -118, 2, 223, 23, 231, 65, 22, 9, -127, -30, 364, 21, -39, -2, 153, 96, 14, -18, -230, -40, 122, -15, 86, 155, 195, -27, 1, -57, 29, -21, 116, 46, 156, -41, 32, 66, -13, -12, -54, -28, -85, -36, 143, -83, -32, -44, 57, -36, 35, 41, -60, 4, -70, 3, -25, 82, 0, -23, 25, -35, 68, -8, -4, -29, 93, 60, 39, 84, 70, 7, 46, -13, 0, 25, 106, 81, -28, 1, 8, 106, -78, 17, 50, 12, 7, -1, 9, 26, -30, -7, -192, 41, -257, -4, 3, 94, 30, 3, 36, 8, -2, 1, -84, 16, -86, 6, -51, 134, 165, 15, -235, 28, 115, -92, 82, -45, 3, 25, 202, 92, 34, 29, 108, 22, 73, -17, -8, -5, 72, -25, -120, -50, 57, -52, 7, -59, 6, 55, -8, -61, -272, 16, 45, 151, -58, 16, -53, 75, 153, 7, 45, -9, 112, 18, 6, 11, -17, -5, 147, -162, 19, -42, -183, 88, -144, -66, -31, 82, 70, 16, 181, -2, -101, 11, 222, 22, -3, 15, 22, -52, -208, 7, -21, 30, 57, 17, 13, -108, -10, -11, -20, -7, 324, 15, 77, 79, -58, -49, -165, 7, 172, -1, -32, -13, -46, -32, -21, 73, -84, 17, 73, 24, 132, -18, 115, 36, -35, 34, 205, -90, -243, 3, 13, 64, -18, 62, -4, 110, -153, -26, 116, 37, 62, -55, -168, 45, -87, 8, 211, -22, 27, -1, -259, 91, -88, -11, -9, -77, 13, 116, -44, -18, -76, -22, 72, 148, -6, -89, -7, -17, -165, 6, -102, -61, -110, 123, 34, -34, 203, -39, -41, 30, 21, 15, 73, -39, -28, -66, 124, -51, 138, -1, -142, 49, 107, -22, 74, -47, -230, 44, -68, 71, -28, -4, -61, 112, 103, -28, 267, -125, 24, -8, -50, -29, 28, -59, 15, -130, 53, 15, 152, 8, -91, -63, 50, 137, -16, 1, 79, 170, 119, 26, 79, 58, -106, -16, 12, -101, 165, -77, -107, 37, 248, -36, 120, 4, 9, -139, -97, 2, 15, -1, -98, 23, -134, 4, 2, 42, -145, 8, -7, 6, 116, 129, 45, 13, 62, 62, 2, -13, 133, 27, -46, -81, -39, -50, -101, 53, 234, -7, 52, -29, 90, -85, -126, 124, -5, 100, -152, -117, 7, 7, -130, 109, 1, -49, -30, 96, -85, -60, -15, 1, 77, -66, 97, 86, -21, 19, -65, 111, -128, 7, -24, 5, 42, -13, -12, 216, 126, 116, 370, -9, 78, -3, -16, 26, -29, 10, 5, 30, 164, 11, 129, 116, -37, 20, -2, 12, 62, 39, 19, -65, -16, 97, -122, 1, 30, -53, 275, -156, 64, 2, 85, 130, -22, 21, 18, 104, 4, 45, -96, 15, -38, -33, 56, 222, 27, -6, -102, -115, 9, 21, -125, 65, -56, -24, 41, -198, -30, -5, -71, 12, 7, 59, 117, -42, 36, 2, 103, 1, -14, 44, -41, -22, -179, 86, -41, -4, 209, -38, -71, -3, -106, 40, -6, 99, 23, -135, 73, -49, -246, 8, 112, 185, -55, -16, -60, 21, -31, 1, -99, -7, -8, 48, 70, -139, -25, -51, 85, 26, -69, -1, -96, -26, -301, 5, -17, -46, -53, -1, -66, 1, -205, -80, -37, -3, 7, 83, 30, -92, -99, 4, -17, 146, 38, 1, -3, -70, 122, 9, -104, -1, -198, 53, 178, 68, -6, -33, -64, -8, -85, -15, -31, -21, 22, -4, 92, -27, -135, -108, -42, -25, 158, -28, 54, 15, -29, 36, 29, -138, 41, 17, -58, -61, -60, 37, 25, 25, 49, -7, -174, 52, -128, -29, 21, -6, -55, -62, 14, -6, -1, -16, 168, 149, 2, 1, -16, 111, -189, -11, -89, -7, 125, -34, 243, 184, -18, 73, -89, -40, 121, 5, 9, -59, -52, 73, 42, 34, -2, -1, -12, 66, -334, -11, -86, -75, -16, -8, 347, 106, 15, -11, -93, -64, 65, -10, -15, 19, -18, -41, -74, -7, 167, -58, -49, -2, -17, -96, -141, 16, 189, 11, 42, 6, 129, 34, -15, 7, -67, -9, 9, 49, 137, 106, 130, 26, 1, -21, 160, -21, 1, 32, -180, 55, 40, -56, -17, 90, -12, 155, -155, 18, 106, -77, 112, 239, -34, -39, 85, -44, -62, -3, -80, 199, -252, 77, -62, -30, -132, -73, 3, 26, -87, 83, 80, 10, 55, -32, 112, 8, -325, -8, -231, 82, 27, 49, 1, -81, 41, -129, 97, 11, 7, -1, 190, 46, -116, 38, 139, -55, 36, 22, -24, 1, -109, 62, 89, -74, -118, -46, -114, -6, 164, 9, -1, -1, -123, -38, 344, -38, -118, 39, 192, -60, -59, -4, -15, 37, 138, -5, -195, 66, 145, 30, -7, -196, 1, -41, 23, -175, 56, 22, 100, -2, 1, 37, -44, 15, -66, -77, -112, 4, 51, 3, -213, 64, 28, -18, 25, -143, 54, 8, -112, -108, -64, -40, 59, -37, 100, -17, -92, -15, -8, 29, 8, 16, 63, -17, -32, -210, -52, -1, 71, 14, -49, -81, -26, 25, -153, -28, 34, 16, -48, -13, -183, -46, 77, 7, -48, 78, -122, 36, 7, 10, 88, -60, 139, 45, 289, 10, 32, 1, 213, -5, 77, 90, -4, -124, 99, 0, -119, -8, -46, -6, -66, -54, -129, 175, -13, -88, -118, -62, -127, 24, -8, 11, -27, 0, 234, -104, -105, 50, -105, 2, -209, -25, 7, -41, -90, 26, 12, 85, -41, 12, 49, -29, -100, -11, 188, -65, 11, -7, -190, 151, 56, -22, 49, -105, -49, 3, 92, 60, -67, -76, -204, 42, 66, 16, 47, -32, -64, -19, -178, -119, -233, 6, -7, 145, -69, -1, -18, 13, -207, -5, 70, -36, -116, -9, -63, -160, 255, 3, -208, 47, -9, -92, -10, 36, 31, 95, -89, -11, -26, 49, -8, -85, -20, -5, 124, 123, 157, -39, 118, 8, -180, 66, -97, -234, -349, -3, -74, 53, -122, -8, -11, 64, -2, 6, -145, -11, -16, -21, 97, 56, -186, -22, -45, -131, -100, 7, -255, 33, -7, -12, 54, 69, 6, 7, -360, -41, 0, -21, 9, 45, 68, 19, 24, -39, -19, -59, -211, 5, -36, 4, 63, 83, -59, 57, -66, 206, 60, -2, -35, 75, 53, 96, -44, -73, -147, -22, 49, -86, 141, 55, -187, 2, 38, -21, 126, 53, -4, -40, -96, 125, -172, -14, 135, 102, -7, 31, -56, -8, 244, 15, 65, 68, 16, 75, -78, 26, -118, -1, 15, -10, -229, -18, -48, -53, 45, -46, 83, 51, -124, 1, 116, 1, 1, 13, 48, 7, -70, -5, 3, -18, -16, 36, 1, -17, 36, 62, -74, 80, 160, -57, 38, -36, -83, 56, 110, -169, -202, -4, 121, -38, 236, 76, -1, 64, -393, 0, -95, -9, 208, -163, -63, 130, -53, 8, 117, 153, -214, 33, 174, -70, -51, -39, 15, -24, 62, 22, -17, 4, 0, 13, 165, 50, 108, -77, -33, -50, -120, 28, 45, -6, -108, 212, -36, 0, 18, -17, -85, -17, -228, 60, -158, 61, -37, -9, 143, -157, 61, 7, -200, 115, -22, -41, 29, 19, 81, 79, 143, 62, -60, -30, -66, 42, 16, 1, 96, 44, 181, -1, -39, 19, -63, 61, 11, -274, -208, 51, -90, 34, -88, 120, -13, -141, -73, -28, 151, 103, 249, -5, -17, 63, -20, -3, -73, -100, 205, 81, -2, 1, -116, -29, -14, 0, 11, 10, -11, 13, 128, 8, 312, -28, 107, -48, 11, 39, -54, 50, 73, 10, 33, 42, 103, 109, 41, -6, -53, -71, -133, 58, -92, 58, 270, -16, 96, -33, -26, 21, -73, -11, -19, 53, -117, 169, -34, -47, -128, -125, -33, 9, -31, 177, 178, 251, -106, -263, 94, 17, 51, 21, -90, 8, -230, 80, -32, 42, -277, -85, 255, 56, -5, -101, 94, 31, -155, 91, 22, -2, -110, 77, -207, 2, -6, 193, 39, -52, 154, -67, -225, 3], "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.bb", "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], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0], [0, 1, -1, -1, 1, 0, -1, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, -1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, -1, 1, 1, 1, 1], [0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, -1, -1, 0, 0], [-3, 0, -2, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, -2, 0, -1, 0, 0, 1, -1], [0, 1, 0, 0, 0, 0, 0, 0], [-4, -1, -1, 1, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0], [-1, -1, 2, 0, 0, 0, 2, -1], [0, 1, -1, -1, 1, 0, -1, 0], [-3, 1, -2, -2, 1, 2, -1, -1], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 1, 1, -2], [1, 0, 1, 1, 0, -1, 1, 0], [2, 1, 1, -1, -1, -1, 1, -1], [1, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 0, 0, 0], [-3, 0, 0, -1, 1, 1, 1, 1], [-2, 2, -1, 0, -1, -1, 0, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-2, 2, 0, -1, 1, 1, 1, -1], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 0, 1, 0, 0, 0, 1], [-1, 1, 0, 1, -1, -1, 0, 0], [-2, 3, -1, 0, 0, 0, -1, -1], [-3, 0, -2, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [-2, 1, 2, 3, -1, -2, 1, 0], [0, -2, 0, -1, 0, 0, 1, -1], [0, 0, 0, -1, 0, -1, -2, 1], [0, 1, 0, 0, 0, 0, 0, 0], [-4, -1, -2, 1, 0, 0, 1, 2], [-4, -1, -1, 1, 0, 1, 1, 1], [-1, -1, -3, -3, 1, 3, 0, -1], [1, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 1, 1, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [4, 0, 2, 1, 2, -1, -1, 1], [-1, 0, -1, 0, 0, 1, 1, 0], [-1, 1, 0, 1, -1, -1, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0], [-2, -2, -1, 0, -2, -1, -1, -1], [0, 1, 1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 2, 0, 0, 0, 2, -1], [0, -1, 0, 0, 0, 0, 0, 0], [0, 1, -1, -1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, -1, 0], [-3, 1, -2, -2, 1, 2, -1, -1], [-4, 2, 2, -1, -1, 0, 0, 1], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 2, -1, -1, 1, 0], [0, 1, 1, 1, 0, 1, 1, -2], [0, 1, 0, 1, 3, 0, -2, 1], [1, 0, 1, 1, 0, -1, 1, 0], [1, 0, 1, 0, 0, -1, -1, 0], [2, 1, 1, -1, -1, -1, 1, -1], [5, 2, 2, -1, -1, 0, -1, -1], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 3, 2, -1, -1, -1, -2], [0, -1, -1, 0, 0, 0, 0, 0], [-3, -3, -2, -1, 1, -1, 1, 1], [-3, 0, 0, -1, 1, 1, 1, 1], [2, 6, 0, 1, 1, 1, 0, 2], [-2, 2, -1, 0, -1, -1, 0, 2], [0, -1, 1, 1, -1, 0, 1, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 3, -1, -4], [-2, 2, 0, -1, 1, 1, 1, -1], [0, 1, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]]}