# Stored data for newform 1078.2.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "1078.2.a.r", "space_label": "1078.2.a", "level": 1078, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698853942, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 602214270835507100, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-8, 0, 1]], [5, [0, 1]], [13, [-8, 0, 1]]], "qexp_display": "q-q^{2}+\\beta q^{3}+q^{4}-\\beta q^{6}-q^{8}+5q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4312, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 8.607873337894025, "hecke_ring_index": 2, "level_radical": 154, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.513", "prec": 17}, "analytic_rank_proved": true, "char_values": [1078, 1, [199, 981], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 7, 11], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.805", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "144.576", "prec": 24}], "related_objects": ["EllipticCurve/2.0.7.1/23716.5/e", "ModularForm/GL2/ImaginaryQuadratic/2.0.7.1/23716.5/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1], [11, 1]], "trace_display": [-2, 0, 0, 0], "traces": [0, 2, -2, 0, 2, 0, 0, 0, -2, 10, 0, -2, 0, 0, 0, 0, 2, 0, -10, 0, 0, 0, 2, 16, 0, -10, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, 10, 4, 0, -16, 0, 0, 0, -8, -2, 0, -16, 0, 0, 0, 10, 16, 0, 28, 0, 0, 0, 32, -4, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, -10, 0, -4, 0, 0, 0, 16, -32, 0, 2, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 16, 48, 0, 0, 0, 0, 0, -10, -10, 0, -16, 0, 0, 0, -28, 24, 0, 4, 0, 0, 0, 4, -32, 0, 4, 0, 0, 0, 0, 2, 0, 16, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -8, 0, 0, -4, 0, 0, 0, 16, 0, 0, 10, 0, 0, 0, 4, 12, 0, 32, 0, 0, 0, 0, -16, 0, 32, 0, 0, 0, -2, -8, 0, 0, 0, 0, 0, -10, 0, 0, -8, 0, 0, 0, -2, -48, 0, 40, 0, 0, 0, -48, -16, 0, -48, 0, 0, 0, 0, -16, 0, -28, 0, 0, 0, -20, 10, 0, 10, 0, 0, 0, 16, 0, 0, 80, 0, 0, 0, 8, 28, 0, -24, 0, 0, 0, -4, -80, 0, -16, 0, 0, 0, -50, -4, 0, 32, 0, 0, 0, -4, 44, 0, 0, 0, 0, 0, -32, 0, 0, -2, 0, 0, 0, -16, -32, 0, -96, 0, 0, 0, -16, 0, 0, 2, 0, 0, 0, 0, 20, 0, -32, 0, 0, 0, -64, 8, 0, 0, 0, 0, 0, 4, 10, 0, 44, 0, 0, 0, -20, -16, 0, 0, 0, 0, 0, -10, -18, 0, -96, 0, 0, 0, 0, -4, 0, -12, 0, 0, 0, -32, -16, 0, 0, 0, 0, 0, 80, 0, 0, 16, 0, 0, 0, -32, -4, 0, -4, 0, 0, 0, 32, 2, 0, 8, 0, 0, 0, 0, -56, 0, 20, 0, 0, 0, 28, 10, 0, 0, 0, 0, 0, 8, 0, 0, 56, 0, 0, 0, -32, 2, 0, 48, 0, 0, 0, -40, 64, 0, 26, 0, 0, 0, 0, 48, 0, 16, 0, 0, 0, 48, -20, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, 0, 0, 28, -40, 0, 52, 0, 0, 0, 64, 20, 0, -10, 0, 0, 0, -10, 60, 0, -48, 0, 0, 0, -4, -16, 0, 0, 0, 0, 0, -80, 0, 0, -96, 0, 0, 0, 28, -8, 0, -28, 0, 0, 0, 24, 16, 0, -48, 0, 0, 0, 0, 4, 0, 80, 0, 0, 0, 16, 24, 0, 0, 0, 0, 0, 20, 50, 0, 4, 0, 0, 0, -32, -44, 0, 32, 0, 0, 0, -16, 4, 0, -44, 0, 0, 0, 0, -64, 0, 8, 0, 0, 0, 140, 32, 0, 0, 0, 0, 0, 2, 0, 0, -16, 0, 0, 0, -56, 16, 0, 32, 0, 0, 0, 96, -24, 0, -64, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -2, 64, 0, 0, 0, 0, 0, 112, 0, 0, -20, 0, 0, 0, 32, 48, 0, 82, 0, 0, 0, -16, 64, 0, -8, 0, 0, 0, 0, -36, 0, 32, 0, 0, 0, 56, -4, 0, -10, 0, 0, 0, -44, 0, 0, -36, 0, 0, 0, -16, 20, 0, 16, 0, 0, 0, 0, 12, 0, 8, 0, 0, 0, -80, 10, 0, 18, 0, 0, 0, 96, -28, 0, 0, 0, 0, 0, 96, 0, 0, 4, 0, 0, 0, 12, -112, 0, 0, 0, 0, 0, 40, 32, 0, 16, 0, 0, 0, 0, -16, 0, -76, 0, 0, 0, 28, -80, 0, 0, 0, 0, 0, -16, 50, 0, -32, 0, 0, 0, 96, 32, 0, 4, 0, 0, 0, 4, 0, 0, -52, 0, 0, 0, 0, -32, 0, -2, 0, 0, 0, -8, 36, 0, 0, 0, 0, 0, -56, 0, 0, 56, 0, 0, 0, -20, 32, 0, 80, 0, 0, 0, 28, -28, 0, -10, 0, 0, 0, 0, 64, 0, 56, 0, 0, 0, -32, -8, 0, 0, 0, 0, 0, -56, 0, 0, 16, 0, 0, 0, 36, 32, 0, -2, 0, 0, 0, -48, 52, 0, -160, 0, 0, 0, 0, 40, 0, -64, 0, 0, 0, -26, 80, 0, -20, 0, 0, 0, -86, 0, 0, -48, 0, 0, 0, -16, -8, 0, -40, 0, 0, 0, -16, -48, 0, 20, 0, 0, 0, 0, -64, 0, -80, 0, 0, 0, 20, 24, 0, 0, 0, 0, 0, -16, 0, 0, 48, 0, 0, 0, -64, -28, 0, 40, 0, 0, 0, -52, 32, 0, 0, 0, 0, 0, 0, -64, 0, -20, 0, 0, 0, 10, 48, 0, 0, 0, 0, 0, 16, 10, 0, -60, 0, 0, 0, 48, -32, 0, -12, 0, 0, 0, -96, 4, 0, 16, 0, 0, 0, 0, 12, 0, 64, 0, 0, 0, -24, 80, 0, 0, 0, 0, 0, 96, 0, 0, 96, 0, 0, 0, -50, -28, 0, 8, 0, 0, 0, 28, 64, 0, 32, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, 48, -80, 0, 0, 0, 0, 0, 32, 0, 0, -4, 0, 0, 0, -80, -92, 0, 80, 0, 0, 0, 72, -16, 0, -24, 0, 0, 0, 0, -2, 0, 32, 0, 0, 0, -128, -20, 0, -50, 0, 0, 0, -4, 0, 0, 56, 0, 0, 0, -96, 32, 0, 44, 0, 0, 0, -32, 64, 0, -128, 0, 0, 0, -20, 16, 0, -4, 0, 0, 0, 44, -176, 0, 0, 0, 0, 0, -64, 0, 0, 64, 0, 0, 0, -8, -8, 0, 80, 0, 0, 0, -44, -140, 0, -32, 0, 0, 0, 0, 82, 0, 120, 0, 0, 0, 32, -2, 0, 0, 0, 0, 0, 16, 80, 0, -36, 0, 0, 0, 20, 56, 0, -16, 0, 0, 0, -32, -64, 0, -80, 0, 0, 0, 0, -96, 0, 24, 0, 0, 0, 64, -48, 0, 0, 0, 0, 0, -92, 0, 0, -16, 0, 0, 0, 0, 20, 0, -72, 0, 0, 0, -48, 2, 0, -64, 0, 0, 0, 0, 16, 0, 76, 0, 0, 0, -48, -112, 0, 0, 0, 0, 0, 20, 0, 0, 144, 0, 0, 0, -88, -32, 0, -48, 0, 0, 0, -82, -64, 0, -60, 0, 0, 0, 0, 16, 0, -64, 0, 0, 0, 8, 8, 0, 40, 0, 0, 0, 96, 0, 0, 36, 0, 0, 0, -32, -96, 0, 10, 0, 0, 0, 52, -56, 0, 4, 0, 0, 0, 10, -48, 0, 64, 0, 0, 0, 32, 44, 0, 0, 0, 0, 0, 36, 0, 0, -4, 0, 0, 0, -96, 16, 0, -20, 0, 0, 0, -16, 44, 0, -32, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -16, 80, 0, -10, 0, 0, 0, -18, 64, 0, -96, 0, 0, 0, 120, -96, 0, 28, 0, 0, 0, 0, 72, 0, 128, 0, 0, 0, -24, -96, 0, 0, 0, 0, 0, -4, 0, 0, 56, 0, 0, 0, -128, -12, 0, 112, 0, 0, 0, 0, -4, 0, 60, 0, 0, 0, 0, -40, 0, -32, 0, 0, 0, -16, 84, 0, 0, 0, 0, 0, 224, 0, 0, 16, 0, 0, 0, 76, 48, 0, 60, 0, 0, 0, -20, -28, 0, 80, 0, 0, 0, 0, -80, 0, -4, 0, 0, 0, -16, 16, 0, -50, 0, 0, 0, 32, 0, 0, 144, 0, 0, 0, 96, -96, 0, -32, 0, 0, 0, -4, 32, 0, 48, 0, 0, 0, -80, -4, 0, 0, 0, 0, 0, 52, -8, 0, 0, 0, 0, 0, -12, 0, 0, 32, 0, 0, 0, 2, -36, 0, -96, 0, 0, 0, 80, 8, 0, -36, 0, 0, 0, 0, 256, 0, 16, 0, 0, 0, 96, 56, 0, 0, 0, 0, 0, -56, -140, 0, 64, 0, 0, 0, -2, 20, 0, -32, 0, 0, 0, -80, -80, 0, 60, 0, 0, 0, 0, -28, 0, 28, 0, 0, 0, 10, -16, 0, 0, 0, 0, 0, 160, 0, 0, -64, 0, 0, 0, -56, 64, 0, -66, 0, 0, 0, -60, 32, 0, 8, 0, 0, 0, 0, 84, 0, -112, 0, 0, 0, -160, 56, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -144, -36, 0, -32, 0, 0, 0, 2, -12, 0, -96, 0, 0, 0, 0, 48, 0, -52, 0, 0, 0, 160, 128, 0, -160, 0, 0, 0, 20, 0, 0, -40, 0, 0, 0, 64, -96, 0, -96, 0, 0, 0, -32, 26, 0, -80, 0, 0, 0, 20, -8, 0, 148, 0, 0, 0, 48, 86, 0, 0, 0, 0, 0, 48, 0, 0, -40, 0, 0, 0, -80, 16, 0, 8, 0, 0, 0, 40, 32, 0, 20, 0, 0, 0, 0, 16, 0, 48, 0, 0, 0, -20, 108, 0, 0, 0, 0, 0, -72, 0, 0, 64, 0, 0, 0, 80, 4, 0, 32, 0, 0, 0, -64, -20, 0, -24, 0, 0, 0, 0, -50, 0, -72, 0, 0, 0, -96, 16, 0, 0, 0, 0, 0, -48, 0, 0, 56, 0, 0, 0, 64, 64, 0, 28, 0, 0, 0, -40, 108, 0, -16, 0, 0, 0, 0, 52, 0, -32, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 192, 0, 0, 64, 0, 0, 0, 20, -192, 0, -56, 0, 0, 0, 144, -10, 0, -48, 0, 0, 0, 0, -16, 0, -96, 0, 0, 0, 60, -16, 0, -10, 0, 0, 0, 60, 0, 0, -96, 0, 0, 0, 200, -48, 0, 32, 0, 0, 0, 12, -24, 0, -60, 0, 0, 0, 0, 96, 0, -4, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -12, 0, 0, -12, 0, 0, 0, -64, -96, 0, -96, 0, 0, 0, 64, 24, 0, -80, 0, 0, 0, 0, -32, 0, 16, 0, 0, 0, 88, -96, 0, 0, 0, 0, 0, -96, -40, 0, 64, 0, 0, 0, -66, 50, 0, 28, 0, 0, 0, -8, 160, 0, -128, 0, 0, 0, 0, -28, 0, -64, 0, 0, 0, -32, -64, 0, 0, 0, 0, 0, 12, 0, 0, 24, 0, 0, 0, 16, -16, 0, -80, 0, 0, 0, 136, -48, 0, 80, 0, 0, 0, 0, 224, 0, 84, 0, 0, 0, -140, -32, 0, 0, 0, 0, 0, 4, 0, 0, 24, 0, 0, 0, 80, 80, 0, 92, 0, 0, 0, -80, 32, 0, -80, 0, 0, 0, 0, -72, 0, 16, 0, 0, 0, 24, -100, 0, 0, 0, 0, 0, 240, 0, 0, 2, 0, 0, 0, -32, 104, 0, 60, 0, 0, 0, 8, 128, 0, 20, 0, 0, 0, 50, 20, 0, 144, 0, 0, 0, 96, 4, 0, 0, 0, 0, 0, -56, 0, 0, -256, 0, 0, 0, -192, 96, 0, -32, 0, 0, 0, -44, -144, 0, 96, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 128, -192, 0, 0, 0, 0, 0, -54, 20, 0, -16, 0, 0, 0, 4, -16, 0, 10, 0, 0, 0, 16, -44, 0, 176, 0, 0, 0, 0, 96, 0, -108, 0, 0, 0, 12, 64, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, 0, -144, 8, 0, 8, 0, 0, 0, -80, 40, 0, -84, 0, 0, 0, 0, 44, 0, 140, 0, 0, 0, 32, 12, 0, 0, 0, 0, 0, -32, 0, 0, -82, 0, 0, 0, -120, 16, 0, -144, 0, 0, 0, -132, -32, 0, 2, 0, 0, 0, 0, -80, 0, 16, 0, 0, 0, 48, -16, 0, -80, 0, 0, 0, 36, 0, 0, 160, 0, 0, 0, 56, -20, 0, -56, 0, 0, 0, 16, -40, 0, -160, 0, 0, 0, 160, 32, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, -80, 0, 0, 96, 0, 0, 0, -24, -60, 0, 64, 0, 0, 0, -40, -64, 0, 48, 0, 0, 0, 0, 104, 0, 48, 0, 0, 0, 44, 92, 0, 0, 0, 0, 0, 16, -10, 0, -24, 0, 0, 0, -16, 0, 0, -20, 0, 0, 0, 72, -144, 0, 64, 0, 0, 0, 0, 48, 0, -2, 0, 0, 0, 64, 44, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -76, -224, 0, 84, 0, 0, 0, -48, 48, 0, 112, 0, 0, 0, 0, -132, 0, -8, 0, 0, 0, -48, -20, 0, 0, 0, 0, 0, -144, 0, 0, 220, 0, 0, 0, 16, 88, 0, 32, 0, 0, 0, 48, 64, 0, 80, 0, 0, 0, 0, 82, 0, 64, 0, 0, 0, 60, 28, 0, 0, 0, 0, 0, 28, 0, 0, -16, 0, 0, 0, 64, -52, 0, 384, 0, 0, 0, -112, -8, 0, -8, 0, 0, 0, -40, -160, 0, -172, 0, 0, 0, 112, -96, 0, 0, 0, 0, 0, -36, 0, 0, 20, 0, 0, 0, 64, 32, 0, 96, 0, 0, 0, -10, -72, 0, 112, 0, 0, 0, 0, -52, 0, 56, 0, 0, 0, -4, -64, 0, 0, 0, 0, 0, 272, -10, 0, 48, 0, 0, 0, -64, -48, 0, -78, 0, 0, 0, -108, -32, 0, -44, 0, 0, 0, 0, 156, 0, -160, 0, 0, 0, 64, -36, 0, 0, 0, 0, 0, 4, 0, 0, 52, 0, 0, 0, -192, 96, 0, -16, 0, 0, 0, 20, -112, 0, -88, 0, 0, 0, 0, 16, 0, -44, 0, 0, 0, 32, -240, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 12, -80, 0, -112, 0, 0, 0, 48, 8, 0, 0, 0, 0, 0, 0, -64, 0, 44, 0, 0, 0, -36, 16, 0, -80, 0, 0, 0, 10, 0, 0, -16, 0, 0, 0, -128, 18, 0, -64, 0, 0, 0, 96, 160, 0, -8, 0, 0, 0, -240, -120, 0, 96, 0, 0, 0, -28, -124, 0, 0, 0, 0, 0, -40, 0, 0, -72, 0, 0, 0, -128, 104, 0, 4, 0, 0, 0, -32, 24, 0, 96, 0, 0, 0, 0, -224, 0, -96, 0, 0, 0, -160, 4, 0, 0, 0, 0, 0, -56, 0, 0, 36, 0, 0, 0, 156, 128, 0, 12, 0, 0, 0, -112, -20, 0, -64, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -60, -128, 0, 0, 0, 0, 0, 80, 0, 0, 40, 0, 0, 0, 32, 164, 0, -48, 0, 0, 0, 16, 16, 0, -84, 0, 0, 0, 0, 16, 0, -128, 0, 0, 0, -116, -224, 0, 0, 0, 0, 0, -16, 0, 0, 64, 0, 0, 0, -128, -76, 0, -48, 0, 0, 0, -60, 72, 0, 192, 0, 0, 0, 0, 20, 0, 28, 0, 0, 0, -80, 28, 0, 50, 0, 0, 0, 16, 0, 0, 80, 0, 0, 0, 4, 64, 0, 128, 0, 0, 0, 220, 16, 0, -16, 0, 0, 0, 50, -48, 0, -176, 0, 0, 0, 32, -32, 0, 0, 0, 0, 0, -144, 0, 0, -16, 0, 0, 0, -140, -96, 0, 96, 0, 0, 0, 32, -100, 0, -56, 0, 0, 0, 0, 4, 0, -32, 0, 0, 0, -48, 176, 0, 0, 0, 0, 0, 12, 80, 0, 4, 0, 0, 0, 0, 76, 0, 48, 0, 0, 0, -44, -52, 0, 8, 0, 0, 0, 0, 240, 0, -288, 0, 0, 0, -144, 12, 0, 0, 0, 0, 0, -32, 0, 0, 112, 0, 0, 0, 176, -2, 0, 36, 0, 0, 0, 96, 32, 0, -90, 0, 0, 0, 0, -80, 0, -8, 0, 0, 0, 36, -64, 0, 0, 0, 0, 0, -192, 0, 0, -256, 0, 0, 0, -16, 0, 0, 32, 0, 0, 0, 132, -96, 0, -56, 0, 0, 0, 0, -192, 0, -32, 0, 0, 0, -16, 56, 0, 140, 0, 0, 0, -64, 0, 0, 100, 0, 0, 0, 160, 2, 0, -20, 0, 0, 0, 32, -64, 0, -16, 0, 0, 0, -120, 80, 0, 80, 0, 0, 0, -60, -168, 0, 0, 0, 0, 0, -20, 0, 0, 28, 0, 0, 0, -28, 96, 0, 152, 0, 0, 0, 224, -10, 0, 16, 0, 0, 0, 0, -112, 0, 108, 0, 0, 0, 32, -160, 0, 0, 0, 0, 0, 64, -20, 0, -32, 0, 0, 0, 24, 56, 0, -64, 0, 0, 0, 66, 96, 0, -108, 0, 0, 0, 0, 60, 0, -32, 0, 0, 0, -8, 132, 0, 0, 0, 0, 0, -192, 0, 0, -84, 0, 0, 0, 112, -16, 0, 0, 0, 0, 0, -48, 160, 0, -56, 0, 0, 0, 0, 160, 0, 16, 0, 0, 0, -160, 16, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, -60, 144, 0, 36, 0, 0, 0, 32, 286, 0, 240, 0, 0, 0, 0, -2, 0, 12, 0, 0, 0, 96, 16, 0, -20, 0, 0, 0, 128, 0, 0, -48, 0, 0, 0, 52, -108, 0, -64, 0, 0, 0, 72, -160, 0, -128, 0, 0, 0, 160, 24, 0, -20, 0, 0, 0, -212, -20, 0, 0, 0, 0, 0, 40, 0, 0, -48, 0, 0, 0, -20, -64, 0, 96, 0, 0, 0, 96, 48, 0, -32, 0, 0, 0, 0, 32, 0, -26, 0, 0, 0, 80, 32, 0, 0, 0, 0, 0, -80, -20, 0, 8, 0, 0, 0, -148, 160, 0, -60, 0, 0, 0, -208, -48, 0, -86, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 48, -48, 0, 0, 0, 0, 0, 40, 0, 0, 64, 0, 0, 0, 112, 80, 0, -16, 0, 0, 0, -8, 16, 0, -64, 0, 0, 0, 0, -40, 0, -32, 0, 0, 0, -20, -72, 0, 0, 0, 0, 0, 44, 0, 0, -16, 0, 0, 0, -48, 32, 0, -280, 0, 0, 0, -128, 20, 0, -108, 0, 0, 0, 0, 240, 0, -80, 0, 0, 0, 4, 72, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 7, 2, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "1078.2.a.r", "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], [1, 0], [-1, 0], [0, 1], [1, 0], [0, 0], [0, -1], [0, 0], [-1, 0], [5, 0], [0, 0], [-1, 0], [0, 1], [0, -1], [0, 0], [0, 0], [1, 0], [0, 1], [-5, 0], [0, 2], [0, 0], [0, 0], [1, 0], [8, 0], [0, -1], [-5, 0], [0, 1], [0, 2], [0, 0], [2, 0], [0, 0], [0, 3], [-1, 0], [0, -1], [0, -1], [0, 0], [5, 0], [2, 0], [0, -2], [-8, 0], [0, 0], [0, 1], [0, 0], [-4, 0], [-1, 0], [0, 0], [-8, 0], [0, 1], [0, 1], [0, 0], [5, 0], [8, 0], [0, -1], [14, 0], [0, -2], [0, 0], [0, 0], [16, 0], [-2, 0], [0, -3], [0, 0], [0, -3], [0, -3], [0, 0], [1, 0], [0, 0], [0, 1], [4, 0], [0, 1], [0, 8], [0, 0], [0, 0], [-5, 0], [0, -5], [-2, 0], [0, -5], [0, 2], [0, 0], [8, 0], [-16, 0], [0, 0], [1, 0], [0, -1], [0, -6], [0, 0], [0, 0], [4, 0], [0, 2], [1, 0], [0, -4], [0, 0], [0, 0], [8, 0], [24, 0], [0, -1], [0, 0], [0, -1], [0, -6], [0, 0], [-5, 0], [-5, 0]]}