# Stored data for newform 6160.2.a.bp, downloaded from the LMFDB on 28 March 2024. {"label": "6160.2.a.bp", "space_label": "6160.2.a", "level": 6160, "weight": 2, "hecke_orbit": 42, "hecke_orbit_code": 184647584755750928, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 509065922785756535, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [2, 2, -4, 1]], [13, [-38, -10, 4, 1]], [17, [-122, -22, 6, 1]], [19, [40, -4, -6, 1]], [23, [428, -72, -6, 1]]], "qexp_display": "q+(1+\\beta _{1})q^{3}+q^{5}-q^{7}+(3\\beta _{1}+\\beta _{2})q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24640, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 49.18784764510872, "hecke_ring_index": 1, "level_radical": 770, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [6160, 1, [5391, 1541, 3697, 5281, 5601], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "3.117", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "25.299", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "298.784", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [7, 1], [11, 1]], "trace_display": [0, 4, 3, -3], "traces": [0, 3, 0, 4, 0, 3, 0, -3, 0, 3, 0, -3, 0, -4, 0, 4, 0, -6, 0, 6, 0, -4, 0, 6, 0, 3, 0, 10, 0, -2, 0, 16, 0, -4, 0, -3, 0, 0, 0, -8, 0, 2, 0, -2, 0, 3, 0, 14, 0, 3, 0, 8, 0, 4, 0, -3, 0, 4, 0, 8, 0, -4, 0, -3, 0, -4, 0, 10, 0, 34, 0, 0, 0, -6, 0, 4, 0, 3, 0, -12, 0, 23, 0, 22, 0, -6, 0, -12, 0, 20, 0, 4, 0, 10, 0, 6, 0, -4, 0, -3, 0, -22, 0, 32, 0, -4, 0, 20, 0, 26, 0, 18, 0, 14, 0, 6, 0, -26, 0, 6, 0, 3, 0, 14, 0, 3, 0, 8, 0, 10, 0, 20, 0, -6, 0, 10, 0, -4, 0, 4, 0, 4, 0, 4, 0, -2, 0, 4, 0, 10, 0, 8, 0, 52, 0, 16, 0, -40, 0, 22, 0, -6, 0, 42, 0, -4, 0, -22, 0, -3, 0, 10, 0, -10, 0, -3, 0, -14, 0, 12, 0, -12, 0, 6, 0, 0, 0, 6, 0, -10, 0, 32, 0, -28, 0, -8, 0, 12, 0, 10, 0, 26, 0, 2, 0, 2, 0, 54, 0, -6, 0, -8, 0, -44, 0, -2, 0, -16, 0, -32, 0, -28, 0, 12, 0, 3, 0, 40, 0, -2, 0, 4, 0, 8, 0, 14, 0, -22, 0, 4, 0, -14, 0, 24, 0, 3, 0, -36, 0, 48, 0, -12, 0, -6, 0, 8, 0, -16, 0, 0, 0, -42, 0, -24, 0, 4, 0, 8, 0, -12, 0, 36, 0, 8, 0, -3, 0, 0, 0, -22, 0, 10, 0, 36, 0, 4, 0, -2, 0, 29, 0, 4, 0, 6, 0, 8, 0, -10, 0, 26, 0, 2, 0, -50, 0, -4, 0, -26, 0, 76, 0, -30, 0, -38, 0, -3, 0, 14, 0, 2, 0, 44, 0, 8, 0, -4, 0, 40, 0, -14, 0, 16, 0, 56, 0, 10, 0, -80, 0, -4, 0, -16, 0, -3, 0, 34, 0, 18, 0, 16, 0, -80, 0, -6, 0, 0, 0, -8, 0, -8, 0, -13, 0, 4, 0, -6, 0, 82, 0, 40, 0, -4, 0, 20, 0, 4, 0, 36, 0, 24, 0, -56, 0, -20, 0, 3, 0, 10, 0, -6, 0, 6, 0, 0, 0, -12, 0, -8, 0, -4, 0, -14, 0, -2, 0, 23, 0, 0, 0, 24, 0, -6, 0, -8, 0, 22, 0, 64, 0, -38, 0, 10, 0, 4, 0, -6, 0, 4, 0, 8, 0, -40, 0, 42, 0, -12, 0, -48, 0, -12, 0, 3, 0, -18, 0, 20, 0, -8, 0, 30, 0, -2, 0, 18, 0, 4, 0, -32, 0, 84, 0, 2, 0, -98, 0, 10, 0, 52, 0, -10, 0, -84, 0, 2, 0, 6, 0, 12, 0, -50, 0, -22, 0, -34, 0, -4, 0, 18, 0, 70, 0, -56, 0, -48, 0, -3, 0, 0, 0, -56, 0, -36, 0, -38, 0, -22, 0, 14, 0, 38, 0, 6, 0, 68, 0, 32, 0, -14, 0, -36, 0, 16, 0, -42, 0, -4, 0, -74, 0, 111, 0, -66, 0, -22, 0, 20, 0, -28, 0, -3, 0, 42, 0, 52, 0, 26, 0, -12, 0, 34, 0, -28, 0, 12, 0, 18, 0, -48, 0, 42, 0, -8, 0, 8, 0, 14, 0, -23, 0, 26, 0, -24, 0, 100, 0, 6, 0, -56, 0, -26, 0, -22, 0, -4, 0, -26, 0, 44, 0, 24, 0, 38, 0, 8, 0, 6, 0, 18, 0, -12, 0, -14, 0, 22, 0, 3, 0, 42, 0, 12, 0, -72, 0, -8, 0, 14, 0, 40, 0, 18, 0, 4, 0, -20, 0, 3, 0, -4, 0, 58, 0, -20, 0, -32, 0, 8, 0, -4, 0, -104, 0, 70, 0, -2, 0, 10, 0, -10, 0, -8, 0, -10, 0, 38, 0, 20, 0, -56, 0, 24, 0, -36, 0, -94, 0, -6, 0, 4, 0, 12, 0, 4, 0, -32, 0, 10, 0, 44, 0, 4, 0, 80, 0, 50, 0, -4, 0, -52, 0, 62, 0, 22, 0, 3, 0, 4, 0, 38, 0, -34, 0, 58, 0, 4, 0, 4, 0, 22, 0, -26, 0, -80, 0, 10, 0, 4, 0, 48, 0, 30, 0, -32, 0, -54, 0, -2, 0, -26, 0, 27, 0, -10, 0, -18, 0, 4, 0, -10, 0, 44, 0, -44, 0, -72, 0, 10, 0, 102, 0, -20, 0, 36, 0, -2, 0, 8, 0, -58, 0, -34, 0, 56, 0, -26, 0, 52, 0, 14, 0, 10, 0, -72, 0, -28, 0, 16, 0, -18, 0, 12, 0, 0, 0, -92, 0, -40, 0, -36, 0, -72, 0, -14, 0, -14, 0, 22, 0, 0, 0, -4, 0, -60, 0, 6, 0, -6, 0, -56, 0, -18, 0, 70, 0, 16, 0, 42, 0, -56, 0, 26, 0, 22, 0, 26, 0, -4, 0, -10, 0, 90, 0, -26, 0, -6, 0, -22, 0, -8, 0, -30, 0, -43, 0, 40, 0, -3, 0, -3, 0, 12, 0, 48, 0, 16, 0, 10, 0, 38, 0, 20, 0, -14, 0, -58, 0, -10, 0, 46, 0, 12, 0, 26, 0, 36, 0, -3, 0, 28, 0, -36, 0, 8, 0, 30, 0, -14, 0, -76, 0, -8, 0, -23, 0, 96, 0, 12, 0, -56, 0, 20, 0, -42, 0, -10, 0, -12, 0, 26, 0, -100, 0, -24, 0, -22, 0, 6, 0, -20, 0, -36, 0, -56, 0, -12, 0, 0, 0, 122, 0, 28, 0, 6, 0, -14, 0, 6, 0, -120, 0, 4, 0, -4, 0, 26, 0, -10, 0, 46, 0, -12, 0, -24, 0, 12, 0, 32, 0, 12, 0, 4, 0, 19, 0, 52, 0, -28, 0, -110, 0, 76, 0, -18, 0, -4, 0, -8, 0, -10, 0, -20, 0, 70, 0, 122, 0, 12, 0, -4, 0, 112, 0, 4, 0, 80, 0, 10, 0, -98, 0, 80, 0, -4, 0, -90, 0, 26, 0, -76, 0, -6, 0, -138, 0, -16, 0, 2, 0, -62, 0, 144, 0, 28, 0, -10, 0, 2, 0, 122, 0, -4, 0, 68, 0, 40, 0, 54, 0, 50, 0, 30, 0, -62, 0, -10, 0, -6, 0, 42, 0, 22, 0, -20, 0, -114, 0, -8, 0, -8, 0, 28, 0, 26, 0, -130, 0, -44, 0, 4, 0, -74, 0, -52, 0, -40, 0, -2, 0, 14, 0, -96, 0, -118, 0, -52, 0, -16, 0, 18, 0, 3, 0, -26, 0, -98, 0, -32, 0, -8, 0, 40, 0, 112, 0, 2, 0, -28, 0, 68, 0, 20, 0, 22, 0, -22, 0, 12, 0, 100, 0, 66, 0, 16, 0, -90, 0, 3, 0, 6, 0, 10, 0, 88, 0, -32, 0, 40, 0, 60, 0, -34, 0, -42, 0, -172, 0, -2, 0, -38, 0, -32, 0, -74, 0, -22, 0, 4, 0, 40, 0, 0, 0, -60, 0, 16, 0, 8, 0, 20, 0, 22, 0, 12, 0, -4, 0, 14, 0, -20, 0, -52, 0, -28, 0, 3, 0, -22, 0, 10, 0, -32, 0, -24, 0, -124, 0, 4, 0, -10, 0, -26, 0, 26, 0, -8, 0, -14, 0, -76, 0, 26, 0, 10, 0, 48, 0, 24, 0, -56, 0, 184, 0, -18, 0, -4, 0, 3, 0, -86, 0, -26, 0, -58, 0, -28, 0, -36, 0, -18, 0, 14, 0, -16, 0, -14, 0, 48, 0, 28, 0, 24, 0, 192, 0, -12, 0, -12, 0, -146, 0, 108, 0, -28, 0, -74, 0, -6, 0, 12, 0, 124, 0, -16, 0, -32, 0, 8, 0, 42, 0, 12, 0, -6, 0, -52, 0, -16, 0, 26, 0, 10, 0, 0, 0, -14, 0, 0, 0, -36, 0, 88, 0, -22, 0, -62, 0, -42, 0, 58, 0, -6, 0, 52, 0, 82, 0, -24, 0, 60, 0, -26, 0, -72, 0, 10, 0, 4, 0, -102, 0, -66, 0, -3, 0, -10, 0, 8, 0, -32, 0, -56, 0, -18, 0, -94, 0, -12, 0, -26, 0, 56, 0, 28, 0, -14, 0, 36, 0, -58, 0, -24, 0, -26, 0, -48, 0, 8, 0, -34, 0, -55, 0, -98, 0, -22, 0, -3, 0, 84, 0, -12, 0, 106, 0, -42, 0, 0, 0, 32, 0, -126, 0, -4, 0, -10, 0, -22, 0, -8, 0, -26, 0, 36, 0, 14, 0, 10, 0, -26, 0, 86, 0, 60, 0, -108, 0, 36, 0, -96, 0, -10, 0, -2, 0, 10, 0, 4, 0, 46, 0, -158, 0, -88, 0, 54, 0, -2, 0, -56, 0, 80, 0, -20, 0, -96, 0, 29, 0, -100, 0, -54, 0, 60, 0, -12, 0, 4, 0, 70, 0, -56, 0, -102, 0, 6, 0, 6, 0, 102, 0, 20, 0, 4, 0, -18, 0, 8, 0, 8, 0, -112, 0, -6, 0, -46, 0, -10, 0, -38, 0, 94, 0, 44, 0, -76, 0, 26, 0, -136, 0, 56, 0, -124, 0, -114, 0, 2, 0, 4, 0, -112, 0, -158, 0, -144, 0, -50, 0, 38, 0, 16, 0, 53, 0, 114, 0, -4, 0, -8, 0, -4, 0, 60, 0, 32, 0, -26, 0, 48, 0, 106, 0, 136, 0, 142, 0, 76, 0, 28, 0, 34, 0, -4, 0, 68, 0, -30, 0, -12, 0, 134, 0, -12, 0, -36, 0, -38, 0, -42, 0, -104, 0, -38, 0, -4, 0, -3, 0, 92, 0, 60, 0, -34, 0, -76, 0, 14, 0, 80, 0, -40, 0, 12, 0, -72, 0, 2, 0, 36, 0, -74, 0, -40, 0, 2, 0, 44, 0, -2, 0, -44, 0, -92, 0, -18, 0, 8, 0, -4, 0, -12, 0, 6, 0, -40, 0, -4, 0, -6, 0, 216, 0, -8, 0, -216, 0, 40, 0, 18, 0, -10, 0, 44, 0, 30, 0, -14, 0, 48, 0, 60, 0, 16, 0, -64, 0, 16, 0, -136, 0, 22, 0, -8, 0, -18, 0, 56, 0, -80, 0, -14, 0, -14, 0, -4, 0, 10, 0, 20, 0, -150, 0, -95, 0, -52, 0, -80, 0, 14, 0, -28, 0, -8, 0, -14, 0, -4, 0, 0, 0, -98, 0, -24, 0, -16, 0, -16, 0, 24, 0, -42, 0, 44, 0, -80, 0, -3, 0, -50, 0, 172, 0, 2, 0, -30, 0, 34, 0, 40, 0, 36, 0, -136, 0, -40, 0, 18, 0, -64, 0, -10, 0, -50, 0, -48, 0, 16, 0, 114, 0, -22, 0, 16, 0, 2, 0, -80, 0, 12, 0, 112, 0, 40, 0, -2, 0, -6, 0, -32, 0, -28, 0, 6, 0, 64, 0, 0, 0, 10, 0, 96, 0, 50, 0, -76, 0, -8, 0, 50, 0, -58, 0, 104, 0, -42, 0, -8, 0, -88, 0, 16, 0, -10, 0, -62, 0, -13, 0, -88, 0, -20, 0, -100, 0, 0, 0, 4, 0, 108, 0, -28, 0, 140, 0, 30, 0, -6, 0, 42, 0, 92, 0, 124, 0, -66, 0, 82, 0, 22, 0, 78, 0, 24, 0, 16, 0, 40, 0, -206, 0, -37, 0, -46, 0, 20, 0, -4, 0, -74, 0, 3, 0, -56, 0, 26, 0, 20, 0, 6, 0, -8, 0, 148, 0, 140, 0, 4, 0, -36, 0, 14, 0, -10, 0, 12, 0, 36, 0, 100, 0, 76, 0, -48, 0, -152, 0, 24, 0, -36, 0, -36, 0, -34, 0, 10, 0, -56, 0, 60, 0, 28, 0, -8, 0, -60, 0, -20, 0, -64, 0, -76, 0, -112, 0, 114, 0, 3, 0, 14, 0, 136, 0, -84, 0, -52, 0, 10, 0, -64, 0, 0, 0, -56, 0, 20, 0, -6, 0, 14, 0, 94, 0, 56, 0, 22, 0, 6, 0, 44, 0, -44, 0, 8, 0, 90, 0, 0, 0, -10, 0, -12, 0, -28, 0, -20, 0, -12, 0, 78, 0, 72, 0, -36, 0, 60, 0, -8, 0, -4, 0, -144, 0, 12, 0, 36, 0, -4, 0, 172, 0, 40, 0, -60, 0, -114, 0, -14, 0, -58, 0, 2, 0, 68, 0, -6, 0, -2, 0, -40, 0, -170, 0, -126, 0, -29, 0, 23, 0, 78, 0, -102, 0, 4, 0, 0, 0, 0, 0, -4, 0, 32, 0, 36, 0, 112, 0, 24, 0, 56, 0, 126, 0, -6, 0, 32, 0, -6, 0, -6, 0, 32, 0, -150, 0, 64, 0, -8, 0, 32, 0, 122, 0, 108, 0, -94, 0, 22, 0, 54, 0, 10, 0, 66, 0, -74, 0, 64, 0, -18, 0, -6, 0, 82, 0, -26, 0, -38, 0, -120, 0, 130, 0, -32, 0, 116, 0, 10, 0, -2, 0, 76, 0, -108, 0, 18, 0, 4, 0, 8, 0, -106, 0, 50, 0, 28, 0, -6, 0, -152, 0, 2, 0, -36, 0, -264, 0, 4, 0, -90, 0, 136, 0, 56, 0, 66, 0, 8, 0, 12, 0, 26, 0, 208, 0, 40, 0, -40, 0, 98, 0, -176, 0, 34, 0, -76, 0, 42, 0, -12, 0, -176, 0, 180, 0, -6, 0, -12, 0, 30, 0, -20, 0, -56, 0, -74, 0, -48, 0, 20, 0, -10, 0, 38, 0, -72, 0, -12, 0, 34, 0, 40, 0, 60, 0, -44, 0, 3, 0, -130, 0, 75, 0, -26, 0, 68, 0, -18, 0, 128, 0, -14, 0, 58, 0, -40, 0, 20, 0, -104, 0, -36, 0, -16, 0, -2, 0, -8, 0, -16, 0, 18, 0, 244, 0, 92, 0, 30, 0, -44, 0, -96, 0, -84, 0, 176, 0, -2, 0, 38, 0, -26, 0, -8, 0, -6, 0, 18, 0, -18, 0, -170, 0, 24, 0, -108, 0, 4, 0, -54, 0, 140, 0, -38, 0, 14, 0, -32, 0, 86, 0, -40, 0, 120, 0, 26, 0, 84, 0, -72, 0, 6, 0, 102, 0, 14, 0, 2, 0, 6, 0, 8, 0, -24, 0, -212, 0, -98, 0, -16, 0, 108, 0, 8, 0, -58, 0, 10, 0, -28, 0, -38, 0, -56, 0, 18, 0, 52, 0, 56, 0, 40, 0, -40, 0, 44, 0, -10, 0, -54, 0, -122, 0, 58, 0, -100, 0, -84, 0, 46, 0, 80, 0, 20, 0, 192, 0, 2, 0, -132, 0, 194, 0, -34, 0, 4, 0, 6, 0, -96, 0, -58, 0, 74, 0, -110, 0, 12, 0, 16, 0, 34, 0, -52, 0, 52, 0, -50, 0, 134, 0, 58, 0, 3, 0, -104, 0, -22, 0, -100, 0, 32, 0, -124, 0, 56, 0, -34, 0, 28, 0, -44, 0, -120, 0, 170, 0, -4, 0, 4, 0, -18, 0, 28, 0, 192, 0, 18, 0, -28, 0, -80, 0, 2, 0, -16, 0, 70, 0, -10, 0, -2, 0, -4, 0, -12, 0, -56, 0, 80, 0, 32, 0, 152, 0, -36, 0, -48, 0, -70, 0, 2, 0, 6, 0, -164, 0, -3, 0, 126, 0, 12, 0, -42, 0, -36, 0, 0, 0, 184, 0, 56, 0, -166, 0, -48, 0, -56, 0, -40, 0, 8, 0, 24, 0, 0, 0, -36, 0, -16, 0, 166, 0, 46, 0, 8, 0, -38, 0, 82, 0, 2, 0, 14, 0, -4, 0, -22, 0, 13, 0, 82, 0, -8, 0, -12, 0, 14, 0, -30, 0, 84, 0, -4, 0, 76, 0, 38, 0, -76, 0, 134, 0, 58, 0, 72, 0, 6, 0, 32, 0, 8, 0, -10, 0, -8, 0, 68, 0, -102, 0, -82, 0, 52, 0, 56, 0, 32, 0, 26, 0, 58, 0, 72, 0, -40, 0, -14, 0, -178, 0, 46, 0, 140, 0, 2, 0, -36, 0, 4, 0, -16, 0, -3, 0, -52, 0, 16, 0, 22, 0, 92, 0, -20, 0, -12, 0, -42, 0, -98, 0, 72, 0, 86, 0, 2, 0, -4, 0, -104, 0, -4, 0, -2, 0, -120, 0, -74, 0, -24, 0, -36, 0, 32, 0, -36, 0, 111, 0, 10, 0, -54, 0, 14, 0, -24, 0, -66, 0, 52, 0, 150, 0, -160, 0, 96, 0, -22, 0, 56, 0, 36, 0, 40, 0, -24, 0, 20, 0, -34, 0, 28, 0, 20, 0, -104, 0, -28, 0, -92, 0, 14, 0, -278, 0, -12, 0, -3, 0, 20, 0, 112, 0, -50, 0, -116, 0, 42, 0, 16, 0, -10, 0, 52, 0, 108, 0, 52, 0, 36, 0, -76, 0, -94, 0, 6, 0, 26, 0, -220, 0, -2, 0, -48, 0, -164, 0, -12, 0, -6, 0, -48, 0, 134, 0, -40, 0, 34, 0, 6, 0, -98, 0, 0, 0, 30, 0, -28, 0, -48, 0, 168, 0, 12, 0, -54, 0, 12, 0, -88, 0, 136, 0, -6, 0, 62, 0, 18, 0, 98, 0, 8, 0, 200, 0, 6, 0, -48, 0, 28, 0, 178, 0, 84, 0, 4, 0, 42, 0, -114, 0, -56, 0, -46, 0, 52, 0, -8, 0, 14, 0, 73, 0, -208, 0, -40, 0, 8, 0, 154, 0, -86, 0, 2, 0, -10, 0, 14, 0, 16, 0, 68, 0, 92, 0, 100, 0, -23, 0, 128, 0, -120, 0, 58, 0, 10, 0, 26, 0, 70, 0, 0, 0, 140, 0, -42, 0, -24, 0, 52, 0, 166, 0, 160, 0, -24, 0, 100, 0, -14, 0, -92, 0, 42, 0, 64, 0, 6, 0, 6, 0, 200, 0, 84, 0, -70, 0, -56, 0, -116, 0, 56, 0, 8, 0, 24, 0, -26, 0, -42, 0, 104, 0, -158, 0, 92, 0, -22, 0, 140, 0, -58, 0, -60, 0, 58, 0, -4, 0, 202, 0, -64, 0, -244, 0, -68, 0, -26, 0, 22, 0, 88, 0, -4, 0, 38, 0, 44, 0, -8, 0, -50, 0, 84, 0, 220, 0, 24, 0, -10, 0, 244, 0, -64, 0, -26, 0, 38, 0, -40, 0, 12, 0, -4, 0, 182, 0, 8, 0, 28, 0, 162, 0, 48, 0, 52, 0, 6, 0, 52, 0, 204, 0, -36, 0, -32, 0, 18, 0, -68, 0, -4, 0, 16, 0, -30, 0, -12, 0, 100, 0, -146, 0], "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": "3080.2.a.j", "char_is_minimal": false, "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], [1, 0, 0], [0, 0, 0], [1, 1, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [0, 3, 1], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-1, -1, -2], [0, 0, 0], [1, 1, 0], [0, 0, 0], [-3, 3, 2], [0, 0, 0], [2, 0, 2], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [1, 3, -3], [0, 0, 0], [1, 0, 0], [0, 0, 0], [2, 4, 4], [0, 0, 0], [0, -2, -2], [0, 0, 0], [6, -2, -1], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-1, 3, 1], [0, 0, 0], [-1, -5, -3], [0, 0, 0], [0, 2, 1], [0, 0, 0], [-1, 1, -3], [0, 0, 0], [0, 3, 1], [0, 0, 0], [5, -1, 4], [0, 0, 0], [1, 0, 0], [0, 0, 0], [1, 5, 5], [0, 0, 0], [1, 1, -5], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [0, 4, 2], [0, 0, 0], [4, -4, -1], [0, 0, 0], [-2, 2, 1], [0, 0, 0], [0, -3, -1], [0, 0, 0], [-1, -1, -2], [0, 0, 0], [3, 1, -3], [0, 0, 0], [10, 4, 0], [0, 0, 0], [2, -6, 2], [0, 0, 0], [-1, -3, 2], [0, 0, 0], [1, 1, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-3, -3, -7], [0, 0, 0], [6, 5, 5], [0, 0, 0], [6, 4, 4], [0, 0, 0], [-3, 3, 2], [0, 0, 0], [-2, -6, -4], [0, 0, 0], [8, -4, -4], [0, 0, 0], [1, 1, 2], [0, 0, 0], [3, 1, -3], [0, 0, 0], [2, 0, 2], [0, 0, 0], [-2, 2, 2], [0, 0, 0], [0, -3, -1], [0, 0, 0]]}