# Stored data for newform 8470.2.a.bj, downloaded from the LMFDB on 25 April 2024.
{"label": "8470.2.a.bj", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991530262, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1879880531108575731, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-4, 2, 1]], [13, [-20, 0, 1]], [17, [2, 1]], [19, [4, -6, 1]]], "qexp_display": "q-q^{2}+(-1-\\beta )q^{3}+q^{4}+q^{5}+(1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33880, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 67.63329051202449, "hecke_ring_index": 2, "level_radical": 770, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.921", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.210", "prec": 17}, {"__RealLiteral__": 0, "data": "0.382", "prec": 17}, {"__RealLiteral__": 0, "data": "62.404", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [7, -1], [11, 1]], "trace_display": [-2, -2, 2, 2], "traces": [0, 2, -2, -2, 2, 2, 2, 2, -2, 6, -2, 0, -2, 0, -2, -2, 2, -4, -6, 6, 2, -2, 0, -10, 2, 2, 0, -20, 2, -2, 2, 0, -2, 0, 4, 2, 6, -2, -6, 20, -2, 2, 2, 16, 0, 6, 10, -8, -2, 2, -2, 4, 0, -6, 20, 0, -2, -16, 2, -16, -2, -20, 0, 6, 2, 0, 0, -12, -4, 20, -2, -16, -6, 8, 2, -2, 6, 0, -20, -6, 2, 22, -2, -16, -2, -4, -16, -8, 0, -12, -6, 0, -10, -40, 8, 6, 2, -10, -2, 0, 2, -12, -4, 28, 0, -2, 6, 32, -20, -18, 0, 12, 2, 4, 16, -10, -2, -40, 16, -4, 2, 0, 20, -32, 0, 2, -6, 20, -2, -16, 0, 10, 0, 6, 12, -20, 4, -4, -20, -6, 2, -12, 16, 0, 6, -2, -8, -2, -2, -2, 2, 26, -6, -12, 0, 0, 20, -24, 6, -4, -2, -10, -22, 12, 2, 0, 16, -8, 2, 14, 4, 38, 16, -16, 8, 2, 0, 16, 12, 28, 6, 28, 0, 40, 10, -2, 40, 0, -8, -20, -6, 4, -2, 36, 10, 20, 2, 16, 0, -20, -2, 12, 12, -2, 4, 2, -28, -50, 0, 0, 2, -8, -6, 16, -32, 16, 20, 0, 18, -28, 0, 0, -12, -20, -2, 6, -4, -12, -16, -32, 10, 0, 2, -12, 40, -8, -16, 16, 4, -10, -2, -6, 0, -22, -20, 2, 32, -20, 0, 16, -2, -20, 6, 0, -20, 4, 2, -10, 16, -2, 0, 14, -10, 12, 0, -6, -6, 52, -12, -16, 20, -4, -4, 20, 4, 0, 20, 32, 6, 80, -2, -12, 12, 12, -16, -16, 0, 2, -6, -26, 2, -20, 8, 8, 2, -16, 2, 0, 2, 20, -2, 16, -26, -48, 6, -20, 12, -28, 0, -28, 0, 8, -20, -10, 24, 6, -6, -18, 4, 0, 2, -32, 10, -12, 22, 0, -12, 48, -2, -8, 0, -4, -16, -26, 8, -12, -2, -4, -14, -44, -4, 0, -38, 2, -16, 20, 16, 0, -8, 32, -2, 40, 0, -42, -16, -16, -12, 4, -28, 2, -6, -10, -28, 0, 0, 8, -40, 4, -10, 66, 2, -6, -40, 32, 0, -2, 8, -20, 20, 8, 6, 0, -4, 28, 2, 0, -36, 48, -10, 32, -20, 20, -2, 40, -16, -6, 0, 24, 20, -16, 2, -16, -12, -80, -12, 22, 2, 0, -4, -14, -2, 84, 28, -16, 50, -16, 0, 56, 0, 20, -2, 0, 8, 16, 6, -4, -16, -20, 32, 0, -16, 26, -20, -6, 0, -8, -18, -40, 28, -12, 0, 6, 0, 12, 12, -12, 20, 32, 2, 8, -6, 0, 4, -56, 12, 0, 16, -44, 32, 40, -10, -24, 0, -18, -2, -40, 12, 50, -40, -12, 8, 4, 16, 0, -16, 6, -4, 2, 10, -24, 2, 20, 6, 20, 0, -10, 22, -10, 20, -52, -2, 16, -32, 4, 20, 0, 0, -16, -16, 4, 2, -32, 20, 24, -6, -12, 0, -14, 20, -4, -4, 8, -2, -80, 10, 28, -16, 0, 2, 36, 0, 8, -14, 52, 10, -2, -12, 0, 0, 14, 6, -48, 6, -60, -52, 32, 12, -48, 16, 0, -20, 26, 4, -28, 4, -18, -20, 32, -4, -100, 0, 4, -20, -6, -32, 12, -6, 4, -80, 0, 2, 0, 12, 24, -12, 4, -12, 22, 16, 40, 16, -28, 0, -24, -2, -10, 6, -10, 26, -76, -2, -16, 20, 0, -8, -40, -8, -14, -2, 40, 16, -76, -2, -32, 0, -4, -2, 0, -20, 0, 2, -50, -16, -36, 26, 0, 48, -16, -6, -8, 20, -40, -12, -52, 28, -32, 0, -72, 28, 12, 0, 120, -8, -12, 20, 2, 10, 0, -24, 4, -6, -24, 6, -72, 18, 20, -4, 0, 0, -48, -2, 4, 32, -74, -10, -16, 12, -60, -22, 0, 0, -40, 12, 18, -48, 10, 2, 64, 8, -20, 0, 12, 4, -40, 16, 6, 26, 0, -8, -20, 12, 0, 2, -12, 4, -20, 14, -56, 44, -10, 4, 32, 0, -88, 38, -4, -2, 52, 16, -20, -20, -28, -16, 0, 0, -6, 8, -4, -32, 52, 2, -6, -40, -16, 0, -12, 42, -12, 16, 12, 16, -38, 12, -40, -4, 0, 28, 0, -2, -20, 6, 28, 10, 96, 28, -2, 0, -24, 0, 66, -8, -32, 40, 8, -4, -2, 10, 0, -66, 0, -2, 80, 6, -68, 40, -2, -32, -48, 0, 32, 2, 48, -8, 40, 20, 26, -20, -46, -8, 0, -6, -22, 0, -18, 4, -12, -28, 0, -2, 6, 0, 100, 36, -12, -48, 0, 10, 12, -32, 36, 20, 0, -20, 0, 2, -24, -40, 40, 16, -112, 6, 4, 0, 40, -24, -4, -20, -40, 16, 16, -2, -116, 16, 0, 12, -10, 80, -4, 12, -4, -22, -14, -2, -16, 0, 12, 4, 48, 14, -40, 2, 58, -84, -2, -28, 0, 16, 8, -50, -24, 16, -52, 0, -4, -56, -8, 0, -80, -20, 8, 2, -46, 0, -88, -8, 14, -16, 0, -6, 48, 4, 20, 16, -72, 20, 38, -32, -8, 0, 52, 16, -32, -26, -34, 20, -16, 6, 26, 0, 0, 8, 0, 18, 30, 40, 2, -28, -8, 12, -28, 0, 60, -6, -40, 0, 16, -12, -48, -12, 20, 12, 0, -20, -4, -32, 28, -2, -120, -8, 40, 6, 12, 0, -16, -4, 28, 56, 40, -12, 84, 0, -20, -16, 0, 44, 40, -32, 10, -40, -54, 10, 48, 24, 0, 0, -2, 18, 84, 2, 16, 40, 6, -12, 112, -50, 0, 40, 44, 12, -60, -8, -28, -4, -40, -16, -20, 0, 32, 16, -40, -6, 68, 4, -28, -2, 4, -10, 0, 24, -4, -2, 98, -20, 96, -6, 36, -20, 4, 0, 32, 10, 8, -22, -6, 10, 20, -20, 52, 52, 0, 2, -114, -16, -44, 32, 16, -4, -12, -20, -80, 0, 12, 0, -56, 16, -20, 16, -72, -4, 40, -2, 0, 32, 32, -20, 12, -24, -8, 6, 20, 12, -116, 0, -24, 14, -2, -20, 92, 4, 28, 4, -28, -8, 0, 2, 2, 80, 20, -10, -2, -28, 14, 16, 36, 0, -50, -2, 40, -36, 40, 0, 0, -8, -2, 14, 0, -52, 8, -10, -104, 2, -56, 12, -120, 0, -8, 0, 26, -14, 52, -6, 4, 48, 16, -6, 16, 60, 0, 52, 76, -32, -12, -12, -8, 48, 16, -16, 48, 0, 0, 20, 20, -26, -50, -4, 0, 28, -54, -4, 0, 18, -54, 20, -70, -32, -28, 4, -60, 100, -24, 0, 116, -4, 2, 20, 0, 6, -80, 32, 16, -12, 0, 6, -4, -4, -20, 80, 28, 0, 68, -2, -48, 0, 54, -12, 6, -24, -10, 12, -16, -4, 0, 12, 0, -22, -12, -16, -48, -40, 24, -16, 12, 28, 20, 0, -32, 24, -40, 2, -108, 10, 16, -6, 42, 10, 0, -26, 80, 76, -80, 2, -160, 16, -8, -20, -12, 0, 68, 8, -8, 40, 48, 8, -40, 14, -8, 2, 0, -40, -70, -16, -100, 76, 14, 2, 16, 32, -40, 0, 28, 4, 36, 2, -62, 0, -10, 20, 38, 0, 0, -2, -28, 50, 36, 16, -6, 36, 32, -26, 80, 0, -16, -48, -118, 16, -22, 6, 0, 8, 20, -20, 0, 40, -80, 12, 2, 52, 24, -28, 2, 32, 16, 0, -172, 72, -20, -28, -4, -12, 16, 0, -16, -120, 0, 8, 16, 12, -16, -20, 114, -2, -118, -10, 28, 0, -20, 24, 40, -4, 28, 6, -60, 24, 140, -6, 0, 72, 28, -18, 40, -20, 120, 4, -36, 0, 4, 0, -36, 48, -52, 2, 40, -4, 16, -32, -10, 74, 0, 10, 40, 16, -24, -12, -96, 60, -2, 22, 20, 0, -4, 0, 80, 40, 46, -12, 14, -18, 10, 48, 0, -10, 120, -2, -120, -64, 12, -8, -48, 20, -40, 0, 60, -12, -20, -4, -6, 40, -12, -16, -52, -6, 0, -26, 0, 0, 52, 8, 4, 20, 0, -12, -66, 0, 12, -2, -16, 12, -108, -4, -48, 20, 36, -14, 0, 56, -4, -44, 80, 10, 138, -4, -14, -32, 28, 0, 20, 88, 30, -38, -62, 4, 84, 2, -14, -52, 0, -16, -44, 20, 16, 20, -122, 28, -16, 16, 32, 0, 44, 0, -12, 6, 0, -8, -20, 4, 80, 32, 0, -52, 76, -2, -100, 6, 120, 40, -12, 16, 12, 0, -56, 12, 32, -42, -32, 12, 12, -16, 60, -12, 0, -16, -2, 38, -62, -12, -16, 40, -16, 4, 10, 0, 40, -28, 2, 0, 2, 2, 104, 20, -52, -6, 0, -28, -40, -10, -26, -96, 120, -28, -50, 2, 44, 0, -42, 24, -20, 0, 80, -66, -6, 8, 140, 32, 0, -40, 8, -8, 116, 4, -80, 2, 90, -10, -16, 0, -16, 66, -8, 0, 16, 2, -80, -80, 122, -6, 0, 68, -56, -40, 100, 2, 16, 32, 16, 48, 20, 0, 136, -32, 96, -2, -28, -48, 56, 8, 16, -40, 0, -20, -144, -26, 4, 20, 24, 46, -48, 8, -32, 0, 0, 6, 42, 22, -56, 0, -20, 18, 44, -4, 0, 12, -78, 28, -28, 0, -28, 2, 16, -6, 126, 0, 60, -100, -24, -36, -28, 12, 0, 48, -12, 0, 0, -10, 48, -12, 8, 32, -88, -36, 76, -20, -20, 0, 12, 20, -10, 0, 36, -2, -32, 24, -36, 40, 0, -40, 6, -16, -48, 112, 72, -6, 80, -4, -20, 0, -18, -40, -114, 24, -12, 4, -16, 20, 160, 40, 0, -16, -48, -16, 80, 2, 6, 116, -32, -16, -32, 0, 26, -12, -64, 10, 124, -80, -72, 4, -12, -12, 0, 4, 32, 22, 96, 14, -16, 2, 0, 16, -56, 0, 84, -12, -12, -4, 80, -48, 48, -14, 52, 40, 0, -2, -72, -58, 40, 84, -8, 2, 240, 28, 20, 0, 40, -16, -24, -8, -4, 50, -12, 24, 16, -16, 0, 52, 36, 0, -26, 4, 8, 56, -44, 8, -124, 0, -10, 80, -12, 20, 160, -8, -60, -2, 10, 46, 0, 0, -4, 88, -6, 8, -144, -14, -76, 16, -40, 0, -44, 6, 102, -48, 32, -4, -22, -20, 100, -16, 0, 72, 80, -20, -76, -38, 16, 32, -32, 8, 2, 0, 24, -52, 52, -16, -44, 32, -32, 26, 20, 34, 0, -20, -20, 16, -20, -6, -108, -26, 0, 0, 188, 0, -12, -8, 60, 0, 16, -18, 32, -30, -12, -40, 0, -2, -56, 28, -14, 8, 40, -12, -20, 28, -10, 0, 44, -60, 16, 6, -42, 40, -160, 0, 0, -16, 0, 12, 168, 48, -16, 12, 40, -20, 132, -12, 160, 0, -64, 20, 4, 4, -76, 32, -50, -28, -20, 2, 0, 120, 2, 8, -80, -40, -10, -6, -24, -12, 80, 0, -10, 16, 100, 4, 120, -28, 86, -56, -2, -40, 0, 12, 40, -84, -64, 0, -104, 20, -72, 16, 8, 0, 14, -44, 0, -40, 76, 32, -40, -10, 4, 40, 0, 54, 52, -10, 12, -48, 0, -24, 66, 0, -8, 0, 42, 2, 52, -18, 36, -84, -6, -2, 8, -16, 0, -40, 12, -6, -170, 12, 32, -112, -52, 50, 52, 0, -92, -40, 72, -44, -2, -12, 96, 60, -36, 8, 0, 28, -16, 4, -20, 40, -24, 16, 10, 20, -80, 0, -96, -32, 8, -16, -4, 40, 136, 6, -52, -68, 0, -4, 0, 28, -114, 2, 80, -4, 20, 10, 108, 0, 28, -24, 160, 4, 24, 2, -8, -98, -4, 20, 0, -96, 52, 6, 124, -36, -18, 20, 44, -4, 48, 0, 60, -32, 32, -10, 60, -8, 12, 22, 32, 6, 0, -10, -48, -20, 24, 20, 80, -52, 20, -52, 84, 0, 92, -2, -4, 114, -60, 16, 40, 44, -12, -32, 0, -16, -120, 4, -8, 12, -6, 20, 120, 80, -58, 0, 12, -12, 28, 0, 24, 56, 20, -16, 80, 20, 0, -16, 0, 72, -16, 4, -68, -40, -58, 2, 40, 0, -48, -32, -16, -32, 20, 20, 2, -12, -16, 24, 0, 8, -80, -6, 52, -20, 92, -12, -64, 116, -26, 0, 22, 24, 0, -14, 128, 2, 76, 20, 96, -92, 0, -4, -20, -28, 24, -4, -40, 28, -76, 8, -14, 0, 100, -2, 68, -2, 8, -80, -12, -20, 84, 10, 0, 2, 16, 28, -136, -14, 24, -16, -16, -36, -40, 0, -120, 50, -84, 2, -72, -40, -16, 36, 0, -40, 0, 0, -120, 0, 136, 8, 56, 2, 16, -14, 50, 0, 64, 52, 20, -8, 20, 10, -116, 104, -84, -2, 0, 56, -24, -12, 0, 120, 16, 0, 56, 8, -18, 0, 34, -26, 16, 14, 12, -52, -80, 6, -48, -4, 0, -48, -4, -16, 28, 6, -12, -16, -138, -60, 80, 0, -20, -52, -52, -76, 240, 32, 92, 12, -2, 12, 0, 8, 52, -48, -28, -16, -10, 16, 100, -48, 26, 0, 120, 0, -40, -20, 64, -20, -28, 26, -6, 50, 0, 4, -198, 0, -80, -28, 24, 54, -8, 4, 8, 0, 92, -18, 124, 54, 16, -20, -40, 70, -40, 32, 0, 28, -10, -4, 32, 60, -12, -100, 0, 24, -188, 0, 0, -116, -134, 4, 6, -2, -88, -20, -22, 0, 0, -6, -28, 80, 12, -32, 200, -16, -18, 12, 58, 0, -180, -6, -12, 4, -20, 4, 48, 20, 20, -80, 0, -28, 32, 0, -42, -68, 100, 2, 160, 48, -84, 0, 8, -54, -32, 12, 40, -6, 4, 24, -128, 10, 0, -12, 40, 16, -100, 4, -12, 0, 80, -12, -56, 0, 78, 22, 24, 12, -44, 16, 0, 48, 0, 40, 0, -24, -48, 16, -40, -12, 152, -28, -44, -20, 16, 0, 48, 32, -4, -24, 90, 40, 40, -2, -20, 108, 0, -10, -160, -16, -8, 6, -24, -42, -176, -10, 112, 0, 132, 26, -210, -80, -18, -76, -4, 80, 172, -2, 0, 160, 0, -16, -40, 8, -40, 20, 8, 12, -26, 0, -42, -68, 50, -8, -136, 8, 128, -40, 32, -48, 0, -8, -12, 40, 12, -14, 38, 8, 44, -2, 0, 0, 4, 40, 20, 70, -4, 16, 80, 100, 12, -76, 0, -14, 236, -2, -140, -16, 110, -32, -44, 40, 6, 0, -64, -28, -240, -4, -8, -36, -32, -2, 2, 62, 0, 0, -34, 10, 100, -20, -68, -38, -24, 0, 24, 0, -72, 2, 2, 28, 200, -50, 20, -36, 16, -16, 0, 6, 82, -36, 40, -32, 20, 26, 44, -80, -16, 0, -8, 16, 82, 48, -10, 118, 104, -16, 0, 22, 0, -6, 64, 0, -10, -8, 44, -20, 28, 20, -54, 0, 32, -40, -52, 80, -6, -12, -40, -2, -128, -52, 0, -24, 16, 28, 40, -2, -40, -32, -160, -16, -88, 0, 4, 172, 6, -72, 172, 20, -42, 28, 24, 4, 0, 12, 72, -16, 12, 0, 152, 16, -40, 120, -16, 0, 44, -8, -20, -16, 44, -12, 136, 16, 4, 20, 0, -114, 4, 2, -80, 118, -48, 10, -32, -28, 120, 0, -80, 20, 240, -24, 2, -40, 24, 4, -8, -28, 0, -6, 84, 60, 66, -24, -12, -140, -10, 6, 164, 0, -32, -72, 4, -28, -14, 18, -128, -40, 140, 20, 0, -120, -48, -4, -4, 36, -84, 0, -66, -4, 12, 0, -80, 36, 8, -48, -42, 52, 132, -2, -120, -40, 0, 4, -80, -16, -52, 32, 4, 10, -12, -74, 0, 0, 28, -10, -152, -40, -60, -16, -28, 24, 66, 12, 0, 96, -40, -60, 44, 2, 66, -22, 0, -20, 36, 0, -6, 4, -60, 0, -78, -80, -92, -40, 8, -46, 0, 12, -98, -14, 32, 18, -120, -10, 52, -48, 136, 0, 40, 10, 128, -120, -160, 2, -2, 120, 16, 64, 0, -12, 148, 8, 40, 48, 0, -20, 64, 40, -20, 0, -68, -60, -100, 12, 14, 20, 40, 4, -20, 6, 0, -40, 8, 12, -48, 16, 148, 52, 118, 6, -32, 0, -40, 26, -60, 0, 0, 0, 48, -52, -80, -8, 0, -4, 32, -20, 28, 0, -16, 12, 28, 66, -24, 0, -48, -12, -4, 2, 72, 16, 260, -12, -28, 108, 0, 4, 0, 48, -84, -20, -28, -36, 8, 14, 26, 0, -134, -56, 48, 4, 0, 44, 44, -80, -28, -10, 0, -138, 12, 4, -20, 14, 32, 32, -18, -28, 0, 0, -40, -20, 100, -88, -40, -30, 32, 38, 20, 62, 0, -4, -126, -84, -160, -2, -100, 14, -12, 52, -12, 0, 40, 16, 96, 44, 4, -20, 104, -16, -160, -20, 0, 122, -124, -28, -6, 16, 48, -16, -160, -32, -24, 0, 64, -44, 12, 0, 106, 12, 24, -6, -280, 0, 0, 8, 4, 20, -116, -4, -24, -80, -68, -32, -16, 0, 0, 52, 46, -76, -216, 2, 68, 100, 142, -6, 0, -120, -16, -40, -78, 12, -84, -16, 40, -12, 24, 0, 110, 56, 80, -12, -80, -32, 208, 42, 4, 32, 0, -12, 200, -12, -36, 16, -60, -60, 22, 12, -120, 0, 16, 16, -52, 2, -44, -38, 40, 62, 120, 12, 0, 16, 68, -40, -154, 16, -28, -4, -20, -10, -52, 0, 100, -40, -14, 28, -24, -2, 40, 0, 108, -2, 0, -2, -28, -104, -10, -20, 84, 52, 146, 6, -96, 0, -98, 28, -10, 40, -108, 10, -320, 26, -16, 96, 0, -120, -76, 28, -10, 50, -80, -2, -144, -44, -88, 0, -16, 42, -76, -24, -12, 20, -16, 0, 112, -80, 0, 66, 24, 6, 56, -8, -80, -140, 16, -32, -40, 0, -26, 40, 72, -8, 68, 8, 20, -116, -14, -4, 0, 80, 90, -2, 32, -90, 240, 10, 40, 16, 0, 0, 4, 16, 40, -66, -98, 8, -76, 0, 4, -16, 0, -2, 16, 80, -28, 80, -32, -122, 160, 6, 100, 0, -84, -68, -152, 56, -4, 40, 40, -100, 108, -2, 0, -16, -52, -32, 0, -16, -28, -48, -20, -20, 52, 0, 68, -136, 0, 32, -82, -96, -88, 2, 88, 28, 0, 48, -50, -56, 120, -8, -32, -16, -4, 40, 0, 0, -36, 20, 26, 144, 60, 26, 8, -4, 64, -20, 0, -24, -200, -46, 80, 48, -6, -8, 228, 32, -16, 0, 20, 0, -196, -6, 112, -42, -56, -22, -8, 56, 0, 0, -20, 20, -120, -18, -128, -44, -40, 4, -8, 0, -40, -12, -32, 78, 108, -28, -52, 28, -72, 0, 0, 28, 16, -2, -12, -16, -32, 6, -56, -126, 80, 0, -80, -60, 10, 100, -72, 24, 6, 36, -156, 28, 0, -12, 136, 0, 12, -48, 76, 12, -76, 0, 12, 0, -32, 10, 120, -48, -20, 12, -70, -8, -80, -32, 0, 88, -12, 36, 80, -76, 50, 20, -2, 20, 0, 0, 2, -12, 48, -20, 32, 10, 240, 0, 180, -36, 0, 2, 84, 32, 64, -24, 16, 36, 8, -40, 4, 0, 84, 40, 48, -6, 100, 16, 96, 48, -24, -112, 0, -72, 220, 6, -12, -80, 56, 4, -72, 20, 32, 0, -4], "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": "8470.2.a.bj", "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], [-1, -1], [1, 0], [1, 0], [1, 1], [1, 0], [-1, 0], [3, 2], [-1, 0], [0, 0], [-1, -1], [0, -2], [-1, 0], [-1, -1], [1, 0], [-2, 0], [-3, -2], [3, 1], [1, 0], [-1, -1], [0, 0], [-5, -1], [1, 1], [1, 0], [0, 2], [-10, -2], [1, 0], [-1, 1], [1, 1], [0, 4], [-1, 0], [0, 0], [2, 0], [1, 0], [3, 2], [-1, -1], [-3, -1], [10, 2], [-1, 0], [1, 3], [1, 1], [8, 0], [0, 0], [3, 2], [5, 1], [-4, 2], [-1, -1], [1, 0], [-1, 0], [2, 2], [0, -2], [-3, 1], [10, 2], [0, 0], [-1, 0], [-8, -4], [1, -1], [-8, 0], [-1, -1], [-10, -2], [0, -4], [3, 2], [1, 0], [0, -2], [0, 0], [-6, 0], [-2, 0], [10, 6], [-1, 0], [-8, 0], [-3, -2], [4, 2], [1, 1], [-1, -1], [3, 1], [0, 0], [-10, -2], [-3, -1], [1, 0], [11, 6], [-1, -3], [-8, 0], [-1, -1], [-2, 0], [-8, 0], [-4, 0], [0, 0], [-6, -4], [-3, -2], [0, -2], [-5, -1], [-20, -4], [4, -2], [3, 1], [1, 1], [-5, 3], [-1, 0], [0, 0], [1, 0]]}