# Stored data for newform 9702.2.a.dl, downloaded from the LMFDB on 16 April 2024. {"label": "9702.2.a.dl", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 90, "hecke_orbit_code": 400820366869538278, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1703294219449588322, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [-2, 0, 1]], [17, [-4, 1]], [19, [14, 8, 1]], [23, [-28, 4, 1]], [29, [-32, 0, 1]]], "qexp_display": "q+q^{2}+q^{4}+q^{8}-q^{11}-\\beta q^{13}+q^{16}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38808, "fricke_eigenval": 1, "atkin_lehner_string": "--++", "analytic_conductor": 77.47086004104622, "hecke_ring_index": 1, "level_radical": 462, "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": "0.046", "prec": 17}, "analytic_rank_proved": true, "char_values": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.020", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.123", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.107", "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], [3, -1], [7, 1], [11, 1]], "trace_display": [2, 0, 0, 0], "traces": [0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2, 8, 0, -8, 0, 0, -2, -4, 0, -10, 0, 0, 0, 0, 0, -8, 2, 0, 8, 0, 0, -4, -8, 0, 0, 8, 0, -20, -2, 0, -4, 0, 0, 0, -10, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 2, 0, 0, 0, 8, 0, 0, -16, 0, -8, -4, 0, -8, 0, 0, -8, 0, 0, 8, -16, 0, 0, -20, 0, -2, 8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -10, 8, 0, -8, 0, 0, -4, -12, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 0, -8, 0, 0, -8, 2, 0, 0, 16, 0, 0, 0, 0, 8, -4, 0, -24, 0, 0, -16, 0, 0, 0, -8, 0, -4, 8, 0, 8, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, -16, 16, 0, -22, 0, 0, -20, 24, 0, 0, -2, 0, 8, -16, 0, 32, 0, 0, -4, 0, 0, -8, 0, 0, 0, -12, 0, 4, 0, 0, 0, -20, 0, -24, -10, 0, 8, 0, 0, 0, -8, 0, 0, 8, 0, 12, -4, 0, -12, 0, 0, 0, -20, 0, 0, 0, 0, -8, 0, 0, 0, 16, 0, 0, 0, 0, 0, -36, 0, 0, 8, 0, 0, -40, 0, -8, 2, 0, 0, 0, 0, 4, -8, 0, 0, 24, 0, 4, -8, 0, 2, -8, 0, 0, 0, 0, 16, -16, 0, 0, 0, 0, 0, 0, 0, -48, 8, 0, -4, 10, 0, 8, -24, 0, 0, 4, 0, -40, -16, 0, 0, 0, 0, -2, 0, 0, -8, 8, 0, 0, -4, 0, 8, 16, 0, 0, 8, 0, -8, 0, 0, -24, 0, 0, 0, 32, 0, 16, 0, 0, -8, -12, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 8, 0, 0, 24, -16, 0, 16, 0, 0, -12, -22, 0, 0, 8, 0, 0, -20, 0, 24, 4, 0, -48, 0, 0, -2, -8, 0, 0, 8, 0, -16, 8, 0, -2, 32, 0, 0, 0, 0, 8, -4, 0, 0, 0, 0, -28, -8, 0, 0, -16, 0, -24, 0, 0, -12, 16, 0, 0, 4, 0, 0, 20, 0, -16, 0, 0, -20, 0, 0, 16, -24, 0, -10, 12, 0, -20, 8, 0, 0, 4, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 8, -24, 0, 4, 12, 0, -4, -40, 0, 0, -12, 0, 0, -32, 0, -32, 0, 0, -20, 32, 0, -32, 0, 0, 0, 0, 0, 0, -8, 0, 0, -32, 0, -8, 0, 0, 16, 0, 0, 28, 0, 0, 0, 56, 0, -32, 0, 0, -36, -8, 0, 0, 0, 0, 8, 20, 0, 40, 0, 0, -40, 32, 0, -16, -8, 0, 2, 0, 0, -12, 0, 0, 0, -40, 0, 0, 4, 0, -8, 0, 0, 24, 0, 0, 24, 16, 0, 0, 4, 0, -8, -16, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, 0, -40, 0, 72, 16, 0, -16, -32, 0, 26, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 28, -48, 0, 8, 0, 0, 8, -4, 0, 10, -16, 0, 0, 8, 0, -24, 4, 0, 0, 0, 0, 4, -48, 0, 0, -40, 0, -16, 36, 0, 24, 0, 0, 0, 20, 0, 64, -2, 0, 0, 0, 0, 4, -8, 0, 8, 24, 0, 12, 0, 0, -4, -24, 0, 0, 8, 0, 16, 32, 0, 24, 0, 0, 8, 0, 0, 16, -8, 0, 0, 4, 0, 24, -24, 0, 0, -40, 0, -8, 0, 0, 32, 0, 0, 50, 16, 0, 0, -16, 0, -4, -8, 0, -12, 0, 0, 0, 0, 0, 0, 40, 0, 88, 0, 0, -32, 16, 0, -8, 0, 0, 0, 20, 0, 0, 8, 0, 0, 28, 0, 16, 24, 0, -16, 0, 0, -64, 16, 0, 0, 0, 0, 28, -12, 0, -22, -40, 0, 0, 0, 0, 8, 40, 0, 0, 0, 0, -20, -16, 0, 8, 24, 0, 4, 0, 0, 32, -48, 0, 0, 60, 0, 0, -2, 0, -8, 0, 0, -44, 0, 0, 8, -64, 0, 0, -16, 0, 8, 32, 0, 0, -2, 0, 32, 0, 0, 8, 0, 0, 0, -80, 0, 80, 8, 0, -4, 0, 0, 24, 0, 0, 0, -24, 0, 0, -28, 0, -8, 0, 0, 20, 0, 0, -16, 0, 0, -36, -24, 0, 0, -56, 0, 0, -12, 0, 16, -8, 0, -40, 0, 0, 4, 0, 0, 40, 0, 0, 20, -48, 0, 16, -16, 0, 0, 0, 0, 40, -20, 0, 0, 0, 0, -4, 16, 0, -24, -96, 0, 0, -10, 0, 12, 8, 0, 0, -20, 0, 8, -4, 0, -56, 0, 0, 4, 0, 0, 80, 8, 0, 0, -40, 0, -28, -8, 0, 0, -56, 0, -16, 0, 0, 0, 0, 0, 0, 8, 0, -24, 0, 0, 6, 4, 0, 12, 0, 0, 0, -4, 0, -40, -56, 0, 80, 0, 0, -12, -24, 0, -8, 0, 0, -32, -20, 0, 0, -32, 0, 0, 8, 0, 32, -20, 0, 32, 0, 0, 84, -32, 0, 0, -24, 0, -8, 0, 0, 0, 48, 0, 0, 0, 0, -8, 4, 0, 0, 0, 0, -32, 80, 0, -16, -8, 0, 0, 0, 0, 0, 16, 0, 0, -4, 0, 16, 28, 0, 0, 0, 0, -16, 0, 0, 56, 16, 0, 20, -32, 0, 0, -56, 0, 0, -36, 0, -8, 0, 0, 56, 0, 0, 0, -56, 0, -80, 8, 0, 20, 72, 0, 0, 40, 0, 0, 52, 0, 0, -40, 0, 32, 0, 0, 70, -16, 0, -8, 0, 0, 32, 2, 0, 0, -8, 0, 0, -12, 0, 0, -64, 0, -8, 0, 0, -40, 0, 0, 0, 0, 0, 4, 40, 0, 64, -8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 32, 24, 0, 16, 0, 0, 68, 0, 0, 4, -64, 0, 0, -8, 0, -16, 12, 0, -48, 0, 0, 2, -40, 0, -16, -8, 0, 0, -8, 0, -44, 0, 0, 0, 0, 0, -24, 0, 0, -40, 0, 0, 0, 72, 0, 16, 56, 0, -8, -16, 0, -32, 0, 0, 0, 26, 0, 0, -20, 0, -32, 0, 0, -16, 0, 0, 48, 0, 0, 0, 64, 0, 100, 0, 0, 0, 20, 0, 16, 28, 0, -48, 0, 0, -48, 8, 0, 0, -32, 0, 44, 8, 0, -4, 40, 0, 0, 10, 0, -16, 0, 0, 0, 0, 0, 8, -48, 0, -8, -24, 0, 4, 0, 0, 12, 0, 0, 0, -40, 0, 88, 4, 0, -48, 0, 0, 28, 0, 0, -40, 8, 0, 0, -16, 0, 36, 0, 0, 0, 24, 0, 0, 0, 0, 96, 0, 0, 20, 16, 0, -80, 64, 0, -2, 4, 0, -4, 0, 0, 0, 52, 0, 0, 4, 0, -8, 0, 0, -16, 8, 0, 24, 0, 0, 12, 12, 0, 0, -16, 0, 0, -4, 0, -24, 56, 0, 64, 0, 0, 8, 8, 0, 0, 16, 0, 32, 20, 0, 52, 24, 0, 0, 0, 0, -64, 8, 0, 0, 0, 0, 12, 16, 0, -8, 40, 0, -56, 0, 0, 4, -32, 0, 0, 24, 0, -24, 88, 0, -64, 0, 0, -40, 0, 0, 16, -8, 0, 0, -32, 0, 0, 32, 0, 0, 0, 0, -72, 50, 0, 16, 0, 0, 0, 0, 0, -16, -88, 0, 36, -4, 0, -8, 0, 0, 0, -12, 0, 0, 48, 0, 32, 0, 0, 0, -16, 0, -24, 0, 0, 40, 8, 0, 0, 88, 0, 0, 76, 0, -8, -32, 0, 16, 0, 0, -4, -8, 0, 0, 32, 0, -48, 0, 0, 20, 40, 0, 0, 0, 0, 8, 12, 0, 0, 0, 0, 28, 0, 0, 128, 16, 0, 24, 20, 0, 8, -16, 0, 0, -2, 0, 80, -64, 0, 16, 0, 0, 28, 0, 0, 0, -32, 0, 0, 28, 0, -12, 80, 0, 0, -22, 0, -40, 0, 0, -48, 0, 0, 0, 24, 0, -16, 8, 0, 40, 16, 0, -2, 0, 0, 0, -20, 0, 0, -20, 0, -16, 0, 0, 64, 8, 0, 24, 0, 0, 32, 4, 0, 0, 32, 0, 0, 32, 0, -48, 8, 0, -80, 0, 0, 60, -16, 0, 0, 0, 0, -2, -104, 0, -64, -8, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, -48, 8, 0, -64, 96, 0, -68, 0, 0, -16, 40, 0, 0, 8, 0, 32, 0, 0, -16, 0, 0, -2, 0, 0, -96, 32, 0, 0, -12, 0, 84, 8, 0, 0, -20, 0, -40, 0, 0, -80, 0, 0, 0, 80, 0, 8, -16, 0, 32, -4, 0, 0, -40, 0, 0, 24, 0, 0, -84, 0, 72, 0, 0, -24, 80, 0, -96, 0, 0, -28, 120, 0, 0, -8, 0, 0, 32, 0, 16, 20, 0, 0, 0, 0, 4, -16, 0, 0, 96, 0, 32, -36, 0, -24, 48, 0, 0, 0, 0, -56, -8, 0, 0, 0, 0, -12, 24, 0, -24, 16, 0, -8, 0, 0, 64, -40, 0, 0, 128, 0, -8, 4, 0, 0, 0, 0, -100, 40, 0, 0, -120, 0, 0, 20, 0, -48, 96, 0, 0, 16, 0, -16, 0, 0, -24, 0, 0, 0, 56, 0, 0, 40, 0, -20, 84, 0, 8, 0, 0, 0, 24, 0, 0, -4, 0, 16, 0, 0, 40, -24, 0, -96, 0, 0, 108, 0, 0, -10, -56, 0, 0, 12, 0, 8, 80, 0, -48, 0, 0, -20, 8, 0, 0, 8, 0, -4, -84, 0, -116, -56, 0, 0, 0, 0, -8, 4, 0, 0, 0, 0, 96, 80, 0, 8, 96, 0, -8, 0, 0, -40, 96, 0, 0, -28, 0, -8, 0, 0, 32, 0, 0, -56, 0, 0, -40, -16, 0, 0, -8, 0, 0, 0, 0, 0, 104, 0, 32, 0, 0, 8, 0, 0, 0, -24, 0, 0, 16, 0, 14, 6, 0, 4, 0, 0, 0, 12, 0, 0, -28, 0, -32, 0, 0, -4, -40, 0, -72, -40, 0, -56, 12, 0, 0, 80, 0, 0, 44, 0, 32, -12, 0, -24, 0, 0, 32, -8, 0, 0, -40, 0, -72, -32, 0, -20, 0, 0, 0, 0, 0, -32, 8, 0, 0, 0, 0, 8, -16, 0, -96, 32, 0, -20, 0, 0, -32, 32, 0, 0, -32, 0, 16, 84, 0, -32, 0, 0, 64, 0, 0, -24, -80, 0, 0, -8, 0, 0, 16, 0, 0, 0, 0, 48, 80, 0, 24, 0, 0, 0, -32, 0, 24, -8, 0, 4, -8, 0, 12, 0, 0, 0, 0, 0, 0, -32, 0, 80, 0, 0, -76, -16, 0, -8, 0, 0, -28, 0, 0, 0, 16, 0, 0, 0, 0, 16, -48, 0, -48, 0, 0, -4, -64, 0, 40, 16, 0, 28, 8, 0, 32, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 36, 56, 0, 16, 64, 0, 114, 20, 0, -32, -80, 0, 0, 0, 0, -56, 22, 0, 0, 0, 0, -36, 0, 0, -24, -8, 0, 0, 156, 0, 8, 56, 0, 0, -32, 0, -120, 0, 0, -56, 0, 0, 0, -80, 0, 8, 88, 0, 20, 20, 0, 72, 0, 0, 0, 0, 0, 40, 76, 0, -24, 0, 0, 52, 8, 0, 112, 0, 0, -40, -100, 0, 0, 32, 0, 0, -20, 0, 0, 70, 0, -16, 0, 0, -16, -8, 0, 0, -80, 0, 120, 32, 0, 2, 48, 0, 0, 0, 0, -8, -128, 0, 0, 0, 0, -12, -56, 0, -24, 0, 0, -64, 0, 0, 60, -8, 0, 0, 72, 0, 16, -40, 0, 0, 0, 0, 16, 0, 0, 0, -80, 0, 40, 4, 0, 40, -16, 0, 0, 64, 0, -8, 0, 0, -40, 0, 0, 0, -32, 0, 56, 0, 0, 24, 76, 0, -32, 0, 0, 0, -48, 0, 0, 32, 0, 24, 0, 0, -72, 16, 0, 0, 0, 0, -108, 68, 0, 0, 0, 0, 0, 4, 0, -64, 32, 0, 48, 0, 0, -8, 80, 0, 0, -16, 0, 12, 80, 0, -8, -48, 0, 0, 0, 0, 0, 2, 0, -40, 0, 0, 24, -16, 0, -8, 8, 0, -64, 0, 0, -8, 0, 0, 0, -44, 0, 0, 52, 0, 80, 0, 0, 0, 80, 0, -160, -24, 0, 0, 28, 0, -56, -40, 0, 0, 72, 0, 24, 0, 0, 72, 0, 0, 0, 16, 0, 56, -8, 0, 12, -8, 0, -16, 0, 0, 0, -32, 0, 0, -8, 0, 96, 0, 0, 26, 0, 0, -16, 0, 0, -20, -4, 0, 0, -32, 0, 0, 44, 0, -56, -16, 0, 0, 0, 0, 48, 48, 0, 0, -40, 0, -68, 0, 0, 64, -16, 0, 0, 100, 0, 0, 28, 0, 0, 0, 0, 20, -32, 0, 96, 16, 0, 28, 0, 0, 20, -48, 0, 0, -8, 0, 48, -48, 0, 8, 0, 0, 16, 0, 0, -32, 16, 0, 0, 44, 0, 8, 24, 0, 0, -4, 0, 40, 0, 0, 0, 0, 0, 10, -16, 0, 72, -16, 0, 0, -24, 0, -90, 0, 0, 0, -44, 0, 0, 8, 0, -48, 0, 0, 44, -8, 0, -24, -40, 0, 64, 4, 0, 0, 144, 0, 0, 12, 0, 0, -100, 0, 32, 0, 0, -40, 64, 0, 0, 88, 0, 4, 20, 0, -168, -48, 0, 0, 0, 0, 16, 28, 0, 0, 0, 0, 32, -40, 0, 8, -104, 0, 84, 0, 0, -16, -72, 0, 0, 36, 0, 0, 40, 0, -48, 0, 0, 24, 0, 0, -16, 0, 0, 0, 64, 0, -20, 96, 0, 0, 88, 0, -8, 20, 0, 16, 0, 0, 0, -80, 0, 64, 104, 0, -12, -2, 0, 4, 0, 0, 0, -4, 0, 0, -12, 0, 32, 0, 0, 52, -16, 0, -16, 0, 0, 4, 28, 0, 0, -8, 0, 0, -40, 0, 32, -16, 0, 8, 0, 0, -16, 24, 0, 0, 48, 0, -16, 12, 0, 12, -64, 0, 0, 0, 0, -16, -96, 0, 0, 0, 0, -4, 128, 0, 72, -24, 0, 56, 0, 0, -16, 64, 0, 0, 28, 0, 16, 8, 0, 8, 0, 0, -32, 0, 0, 16, -8, 0, 0, 32, 0, 20, -144, 0, 0, 52, 0, 24, 0, 0, -80, 0, 0, 0, -48, 0, 64, -64, 0, 8, -52, 0, 64, 0, 0, 0, -48, 0, 0, 12, 0, 16, 0, 0, 0, -8, 0, 40, 0, 0, 96, -56, 0, 0, 56, 0, 0, 4, 0, -32, -80, 0, 112, 0, 0, 24, 8, 0, 0, -24, 0, 88, 88, 0, 152, -64, 0, 0, 0, 0, -88, -40, 0, 0, 0, 0, 40, 16, 0, -8, 88, 0, -128, 0, 0, -32, -48, 0, 0, 0, 0, 32, -52, 0, -16, 0, 0, 0, 0, 0, -16, -72, 0, 50, 16, 0, 0, 16, 0, 0, 40, 0, -16, 0, 0, 0, 0, 0, 0, -16, 0, -88, 0, 0, -28, 36, 0, -4, -40, 0, 0, -8, 0, 0, 24, 0, 32, 0, 0, -12, -80, 0, 24, 0, 0, 48, -8, 0, 0, 32, 0, 0, 76, 0, 80, 0, 0, -16, 0, 0, 4, -24, 0, 0, 32, 0, 36, 40, 0, 8, 32, 0, 0, 0, 0, 88, -36, 0, 40, 0, 0, 76, 88, 0, -16, -8, 0, -32, 0, 0, -4, 16, 0, 0, 0, 0, 40, -4, 0, -8, 0, 0, -64, 0, 0, 32, -16, 0, 0, -48, 0, 0, -24, 0, 0, 20, 0, 40, 0, 0, -120, 0, 0, 0, 48, 0, 0, 8, 0, 12, -32, 0, 40, 0, 0, 0, -92, 0, 0, 28, 0, 0, 0, 0, 68, 128, 0, 16, 0, 0, -80, 24, 0, 20, 8, 0, 0, 8, 0, -16, 84, 0, 40, 0, 0, -2, -96, 0, 0, 80, 0, -64, 0, 0, -148, 16, 0, 0, 60, 0, 0, 28, 0, 0, 0, 0, -188, 0, 0, -32, -64, 0, 24, 0, 0, 28, -64, 0, 0, -12, 0, 80, 24, 0, 16, 0, 0, -22, 0, 0, 40, -40, 0, 0, -144, 0, -36, -48, 0, 0, -4, 0, -16, 0, 0, 24, 0, 0, 100, -16, 0, 8, 8, 0, -56, 40, 0, 16, 0, 0, 0, -2, 0, 0, 20, 0, -32, 0, 0, -20, -128, 0, 64, 0, 0, -20, -12, 0, 0, -16, 0, 0, -52, 0, -24, 64, 0, 8, 0, 0, 136, 24, 0, 0, 0, 0, -8, 32, 0, 4, 88, 0, 0, 0, 0, 32, -4, 0, 0, 0, 0, 32, -40, 0, -16, -48, 0, 8, 0, 0, -44, -80, 0, 0, 60, 0, 40, 60, 0, -16, 0, 0, -34, 0, 0, 0, -144, 0, 0, -2, 0, -104, -120, 0, 0, -64, 0, -8, 0, 0, 8, 0, 0, 0, 16, 0, 56, 0, 0, -44, 64, 0, 64, 0, 0, 0, -72, 0, 0, -48, 0, 8, 0, 0, -56, -64, 0, 96, 0, 0, 60, -68, 0, 0, 0, 0, 0, -16, 0, 40, -4, 0, -16, 0, 0, 8, -88, 0, 0, 32, 0, 0, -80, 0, 0, -16, 0, 0, 0, 0, -56, -2, 0, 0, 0, 0, 16, -96, 0, 32, -24, 0, 44, 0, 0, -12, -48, 0, 0, 84, 0, 8, 36, 0, -128, 0, 0, -20, 0, 0, 32, -40, 0, 0, 144, 0, 80, -80, 0, 0, 64, 0, -48, 0, 0, 80, 0, 0, 0, 8, 0, -16, 48, 0, 96, 32, 0, -4, 0, 0, 0, 0, 0, -40, -44, 0, 80, 0, 0, 24, 128, 0, 0, 0, 0, -84, 8, 0, 0, 72, 0, 0, -4, 0, -8, -24, 0, 80, 0, 0, 16, -96, 0, 0, 48, 0, -8, -28, 0, 120, -112, 0, 0, 0, 0, -8, -32, 0, 0, 0, 0, 32, -32, 0, 0, 16, 0, 20, 0, 0, -180, 0, 0, 0, 68, 0, 16, 4, 0, -16, 0, 0, -40, 0, 0, 96, 0, 0, -10, 32, 0, -36, -16, 0, 0, -24, 0, 48, 0, 0, -112, 0, 0, 0, 40, 0, -64, -56, 0, -8, -8, 0, -92, 0, 0, 0, 160, 0, 0, -12, 0, 24, 0, 0, -12, -24, 0, 16, 0, 0, -24, -8, 0, 0, -48, 0, 0, 64, 0, -40, 128, 0, 0, 0, 0, 128, -56, 0, 0, -8, 0, 4, 88, 0, -4, 0, 0, 0, 0, 0, -16, -100, 0, 40, 0, 0, -128, 0, 0, -120, -16, 0, 80, 0, 0, 20, 40, 0, 0, -48, 0, 96, 56, 0, -88, 0, 0, 16, 0, 0, 16, -16, 0, 0, -92, 0, -32, -24, 0, 0, -68, 0, 80, 0, 0, 56, 0, 0, 0, 0, 0, 40, 32, 0, -120, -20, 0, 84, 0, 0, 0, 8, 0, 0, 0, 0, 72, 0, 0, 24, -48, 0, -80, 0, 0, -4, -72, 0, 40, 16, 0, 0, 2, 0, -160, 40, 0, -24, 0, 0, -68, -96, 0, 0, 96, 0, -108, 108, 0, 0, -64, 0, 0, -10, 0, -56, -20, 0, 0, 0, 0, 12, 40, 0, 88, 8, 0, 80, 0, 0, 28, -48, 0, 0, -20, 0, -8, -20, 0, 8, 0, 0, -120, 0, 0, 8, 16, 0, 0, -4, 0, -84, 32, 0, 0, -116, 0, -56, 0, 0, -48, 0, 0, 0, 0, 0, 16, -8, 0, 4, 48, 0, -168, 0, 0, 0, -8, 0, 0, 96, 0, 80, 0, 0, -20, 8, 0, 96, -80, 0, 64, -8, 0, 0, 16, 0, 0, -40, 0, 96, -76, 0, -16, 0, 0, -28, -32, 0, 0, -8, 0, 0, -4, 0, 68, 32, 0, 0, 0, 0, 40, -56, 0, 0, 0, 0, -140, -40, 0, -16, -112, 0, 72, 0, 0, -8, -120, 0, 0, 0, 0, 0, -28, 0, 72, 0, 0, 104, 0, 0, 16, 32, 0, 0, 36, 0, -176, 8, 0, 0, -80, 0, -80, 0, 0, -24, 0, 0, 0, 0, 0, 16, 160, 0, -156, 14, 0, 6, 0, 0, 0, 4, 0, 0, -8, 0, 64, 0, 0, 12, 24, 0, 80, 0, 0, -28, -96, 0, 0, -32, 0, 0, 116, 0, 184, -4, 0, -40, 0, 0, 80, -72, 0, -40, 48, 0, -144, -56, 0, 12, 144, 0, 0, 0, 0, 80, -164, 0, 0, 0, 0, 44, 16, 0, -32, 32, 0, -12, 20, 0, 176, -24, 0, 0, 0, 0, 48, 32, 0, -8, 0, 0, -144, 0, 0, -40, -16, 0, 0, -72, 0, -32, 72, 0, 0, -20, 0, 0, 0, 0, -128, 0, 0, 0, 24, 0, 72, -32, 0, 8, -60, 0, -28, 0, 0, 0, 48, 0, 120, 8, 0, -16, 0, 0, -70, -96, 0, 32, 0, 0, 12, -20, 0, 0, 8, 0, 0, -32, 0, 32, -64, 0, 24, 0, 0, -32, 80, 0, 0, 16, 0, 84, 0, 0, 72, -32, 0, 0, 0, 0, -16, 64, 0, 0, 0, 0, -8, -24, 0, -80, 80, 0, 0, 0, 0, -8, 56, 0, 0, 0, 0, 16, 168, 0, 128, 0, 0, 0, 0, 0, -24, 48, 0, 80, -128, 0, 32, 24, 0, 0, -60, 0, 48, 0, 0, -32, 0, 0, 0, 24, 0, -8, 160, 0, -56, 4, 0, -8, 0, 0, 0, 12, 0, 0, -4, 0, -48, 0, 0, 0, 48, 0, -144, 0, 0, -32, -92, 0, 0, 80, 0, 0, 8, 0, 0, -76, 0, -16, 0, 0, 24, -8, 0, 0, -32, 0, -36, -28, 0, 0, 88, 0, 0, 0, 0, 16, -20, 0, 0, 0, 0, 0, 0, 0, 56, 16, 0, -48, 0, 0, -56, -48, 0, 0, -24, 0, -104, -4, 0, -64, 0, 0, 16, 40, 0, 16, -48, 0, 0, 28, 0, 8, -48, 0, 0, 32, 0, 0, 0, 0, -32, 0, 0, 0, 176, 0, 72, -16, 0, -16, -148, 0, -12, 0, 0, 0, -128, 0, 0, 36, 0, 56, 0, 0, -44, 16, 0, 64, 0, 0, 32, 114, 0, 20, 96, 0, 0, -32, 0, -80, 12, 0, -48, 0, 0, 0, -16, 0, 0, -56, 0, 22, 4, 0, -118, 0, 0, 0, -40, 0, -104, -36, 0, 0, 0, 0, 28, -24, 0, -8, -64, 0, -56, 0, 0, 156, 112, 0, 0, 8, 0, 56, -64, 0, -8, 0, 0, -32, 0, 0, 0, -120, 0, 0, -36, 0, -32, -56, 0, 0, -192, 0, 72, 0, 0, -80, 0, 0, -40, 8, 0, 88, -16, 0, 92, 20, 0, 20, 0, 0, 0, 72, 0, 0, -32, 0, -112, 0, 0, 0, 152, 0, -48, 40, 0, 76, 168, 0, 0, -24, 0, 0, 20, 0, -96, 52, 0, 8, 0, 0, -4, 112, 0, 0, 48, 0, -112, -40, 0, -100, -80, 0, 0, 0, 0, 32, 48, 0, 0, 0, 0, -20, 48, 0, -64, 0, 0, 70, 0, 0, 128, -16, 0, 0, 24, 0, -16, -16, 0, -8, 0, 0, 64, 0, 0, -80, 80, 0, 0, 120, 0, 32, 16, 0, 0, 2, 0, 48, 0, 0, -80, 0, 0, 0, -40, 0, 8, -8, 0, -128, 44, 0, -164, 0, 0, 0, 0, 0, 0, -12, 0, -56, 0, 0, 20, -24, 0, 0, 0, 0, -12, -64, 0, 0, -64, 0, 0, 60, 0, -8, 100, 0, 8, 0, 0, 72, -80, 0, 0, 16, 0, -40, -180, 0, 24, 0, 0, 0, 0, 0, -128, 16, 0, 0, 0, 0, -36, 0, 0, -80, -8, 0, -8, 40, 0, 4, -64, 0, 0, 40, 0, -16, -104, 0, -144, 0, 0, 64, 0, 0, 48, -8, 0, 0, 2, 0, 128, -40, 0, 0, -144, 0, 32, 0, 0, -32, 0, 0, 0, 56, 0, 0, -72, 0, -36, 24, 0, 76, 0, 0, 0, -32, 0, 0, 68, 0, 120, 0, 0, -48, 80, 0, -80, 0, 0, 32, -4, 0, 0, 24, 0, 0, -88, 0, 112, -72, 0, 16, 0, 0, 40, 0, 0, 0, 112, 0, 40], "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": "3234.2.a.y", "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, 0], [1, 0], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [0, -1], [0, 0], [0, 0], [1, 0], [4, 0], [0, 0], [-4, -1], [0, 0], [0, 0], [-1, 0], [-2, -4], [0, 0], [-5, 0], [0, -1], [0, 0], [0, 0], [0, 4], [0, 0], [-4, 5], [1, 0], [0, 0], [4, 0], [0, 0], [0, 0], [-2, 4], [-4, -1], [0, 0], [0, 0], [4, 4], [0, 0], [-10, 0], [-1, 0], [0, 0], [-2, -4], [0, -1], [0, 0], [0, 0], [-5, 0], [0, 0], [0, -1], [-2, 4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 4], [4, 2], [0, 0], [0, 1], [-4, 5], [0, 0], [1, 0], [0, 0], [0, 0], [0, -8], [4, 0], [0, 0], [0, 0], [-8, -4], [0, 0], [-4, 0], [-2, 4], [0, 0], [-4, -1], [0, 0], [0, 0], [-4, 4], [0, 0], [0, 0], [4, 4], [-8, -5], [0, 0], [0, 0], [-10, 0], [0, 0], [-1, 0], [4, -1], [0, 0], [0, 0], [-2, -4], [0, 0], [0, -1], [0, 0], [0, 0], [0, -9], [0, 0], [0, 0], [-5, 0]]}