# Stored data for newform 9702.2.a.cm, downloaded from the LMFDB on 28 March 2024. {"label": "9702.2.a.cm", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 65, "hecke_orbit_code": 288230376185275878, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 817956175117603513, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-18, 0, 1]], [13, [-32, 0, 1]], [17, [-50, 0, 1]], [19, [-2, 0, 1]], [23, [-8, 1]], [29, [-8, 1]]], "qexp_display": "q-q^{2}+q^{4}+3\\beta q^{5}-q^{8}-3\\beta q^{10}+\\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": "0.513", "prec": 17}, "analytic_rank_proved": true, "char_values": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "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": "1.886", "prec": 17}, {"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "14.296", "prec": 20}, {"__RealLiteral__": 0, "data": "1.359", "prec": 17}, {"__RealLiteral__": 0, "data": "137.890", "prec": 24}], "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, 0, 0, 0, 0, 0, 2, 16, 0, 26, 0, 0, 0, 16, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, -2, 0, -16, 0, 0, 0, -26, 0, 0, 4, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 2, -48, 0, -4, 0, 0, 0, -24, 0, 0, -4, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -60, -16, 0, 2, 0, 0, 0, 16, 0, 0, -12, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -4, -24, 0, 16, 0, 0, 0, -20, 0, 0, 16, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 12, -2, 0, 48, 0, 0, 0, 4, 0, 0, 44, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 4, 36, 0, -16, 0, 0, 0, -36, 0, 0, -28, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 38, 60, 0, 16, 0, 0, 0, -2, 0, 0, 28, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 12, -40, 0, 44, 0, 0, 0, 16, 0, 0, -26, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 8, 4, 0, 24, 0, 0, 0, -16, 0, 0, 80, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -16, -28, 0, 84, 0, 0, 0, 16, 0, 0, -2, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, -12, 0, 2, 0, 0, 0, -48, 0, 0, -44, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -44, -26, 0, 8, 0, 0, 0, 28, 0, 0, -24, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, -72, -4, 0, -36, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 28, 44, 0, -16, 0, 0, 0, 20, 0, 0, 8, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 28, -38, 0, -60, 0, 0, 0, -16, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -28, -20, 0, -34, 0, 0, 0, -60, 0, 0, 16, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, -72, -12, 0, 40, 0, 0, 0, -44, 0, 0, 4, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 26, -36, 0, 48, 0, 0, 0, -4, 0, 0, -12, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -20, -8, 0, -4, 0, 0, 0, -24, 0, 0, 60, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -80, 12, 0, 24, 0, 0, 0, -4, 0, 0, -20, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 32, 16, 0, 28, 0, 0, 0, -84, 0, 0, -16, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 2, 0, 0, -40, 0, 0, 0, 40, 0, 0, -16, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 16, 0, 12, 0, 0, 0, -2, 0, 0, 60, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 44, 60, 0, 82, 0, 0, 0, -16, 0, 0, 4, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 8, 44, 0, 26, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 24, -12, 0, 56, 0, 0, 0, 208, 0, 0, -66, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 72, 0, 4, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -112, 0, -28, 0, 0, 0, 40, 0, 0, -36, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, -48, -28, 0, -44, 0, 0, 0, 16, 0, 0, -88, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -8, 84, 0, 84, 0, 0, 0, -32, 0, 0, -52, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -68, -28, 0, 38, 0, 0, 0, 60, 0, 0, -76, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, -108, 0, -20, 0, 0, 0, -60, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 48, 28, 0, 20, 0, 0, 0, 34, 0, 0, 208, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -16, 4, 0, -40, 0, 0, 0, -16, 0, 0, -52, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -4, 72, 0, 12, 0, 0, 0, -40, 0, 0, 96, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -4, -4, 0, 24, 0, 0, 0, 60, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -140, -26, 0, 36, 0, 0, 0, -48, 0, 0, -36, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 12, 60, 0, -80, 0, 0, 0, 72, 0, 0, -108, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 70, 20, 0, 8, 0, 0, 0, 4, 0, 0, 32, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, -32, 0, -168, 0, 0, 0, -28, 0, 0, -16, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 24, 80, 0, -12, 0, 0, 0, -24, 0, 0, -28, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 20, -12, 0, -52, 0, 0, 0, 48, 0, 0, 20, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 52, -32, 0, -16, 0, 0, 0, -28, 0, 0, 60, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 16, -104, 0, 80, 0, 0, 0, 52, 0, 0, 16, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -16, -2, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 16, 128, 0, 88, 0, 0, 0, 132, 0, 0, 12, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 76, 48, 0, -16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -60, 16, 0, 28, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -40, -44, 0, -60, 0, 0, 0, -82, 0, 0, -60, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -4, 32, 0, 208, 0, 0, 0, -144, 0, 0, 60, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 76, -8, 0, -44, 0, 0, 0, -26, 0, 0, -104, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 204, 0, 92, 0, 0, 0, 24, 0, 0, 28, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 12, -24, 0, 12, 0, 0, 0, -56, 0, 0, 156, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 66, -32, 0, 0, 0, 0, 0, 48, 0, 0, 4, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 24, -12, 0, -72, 0, 0, 0, -4, 0, 0, -16, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, -16, 0, -60, 0, 0, 0, 204, 0, 0, 16, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 32, 0, 0, 112, 0, 0, 0, 28, 0, 0, 36, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 36, 100, 0, 20, 0, 0, 0, 128, 0, 0, -158, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 48, 0, 28, 0, 0, 0, 44, 0, 0, -12, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 88, 64, 0, 24, 0, 0, 0, 60, 0, 0, 20, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 128, 8, 0, -84, 0, 0, 0, -84, 0, 0, 64, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 52, 52, 0, 76, 0, 0, 0, -2, 0, 0, -128, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -132, 68, 0, 28, 0, 0, 0, -38, 0, 0, -216, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 76, -104, 0, -66, 0, 0, 0, 108, 0, 0, -16, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 20, 8, 0, 108, 0, 0, 0, 20, 0, 0, -12, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 2, -60, 0, -180, 0, 0, 0, 84, 0, 0, -4, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -88, -48, 0, -28, 0, 0, 0, -20, 0, 0, -48, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -208, -56, 0, -68, 0, 0, 0, -84, 0, 0, -60, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -32, 16, 0, -4, 0, 0, 0, 40, 0, 0, 92, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 52, -132, 0, -384, 0, 0, 0, -24, 0, 0, 64, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -40, 4, 0, -72, 0, 0, 0, -12, 0, 0, 60, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -96, 12, 0, 32, 0, 0, 0, -32, 0, 0, -44, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 228, 4, 0, 4, 0, 0, 0, -24, 0, 0, 168, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -16, -36, 0, -8, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -36, 140, 0, 26, 0, 0, 0, -36, 0, 0, 96, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, -96, 0, 36, 0, 0, 0, -384, 0, 0, -4, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -36, -12, 0, -60, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 108, 16, 0, -80, 0, 0, 0, -104, 0, 0, 120, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -78, -70, 0, -20, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -32, -112, 0, 36, 0, 0, 0, 108, 0, 0, -24, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 88, 60, 0, 32, 0, 0, 0, 168, 0, 0, 72, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 16, 216, 0, -24, 0, 0, 0, -100, 0, 0, 56, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 24, -24, 0, -80, 0, 0, 0, 12, 0, 0, -312, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 28, 104, 0, -12, 0, 0, 0, 8, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 144, -20, 0, 12, 0, 0, 0, 52, 0, 0, 224, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -20, 72, 0, 120, 0, 0, 0, 180, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, -52, 0, 32, 0, 0, 0, 16, 0, 0, -38, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -60, 96, 0, 72, 0, 0, 0, 84, 0, 0, -84, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, -16, 0, 104, 0, 0, 0, -80, 0, 0, -108, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -16, -132, 0, -156, 0, 0, 0, 16, 0, 0, 26, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 120, 16, 0, 2, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, -480, 0, -20, 0, 0, 0, 8, 0, 0, 40, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 364, -16, 0, -128, 0, 0, 0, -88, 0, 0, 228, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -12, -36, 0, -20, 0, 0, 0, -4, 0, 0, -120, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -16, -76, 0, -48, 0, 0, 0, 16, 0, 0, -120, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, -120, 0, -80, 0, 0, 0, 36, 0, 0, -2, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -192, 60, 0, -16, 0, 0, 0, -28, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, -12, 0, 124, 0, 0, 0, -96, 0, 0, -12, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 40, 40, 0, 44, 0, 0, 0, 60, 0, 0, -76, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 60, -44, 0, -480, 0, 0, 0, -44, 0, 0, -16, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 56, 4, 0, -32, 0, 0, 0, -208, 0, 0, 68, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -60, 288, 0, -16, 0, 0, 0, 160, 0, 0, 72, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -96, -76, 0, 8, 0, 0, 0, 44, 0, 0, -72, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 104, -108, 0, 102, 0, 0, 0, 108, 0, 0, -8, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -140, 0, 0, -204, 0, 0, 0, -92, 0, 0, -116, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -28, 224, 0, -160, 0, 0, 0, -12, 0, 0, 52, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -68, -12, 0, 24, 0, 0, 0, -12, 0, 0, 32, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -156, 224, 0, -100, 0, 0, 0, -24, 0, 0, 208, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -128, -66, 0, 32, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -4, -28, 0, 144, 0, 0, 0, -88, 0, 0, 60, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 16, -24, 0, 12, 0, 0, 0, 72, 0, 0, 180, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, -96, 0, -48, 0, 0, 0, -108, 0, 0, 36, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -288, 0, 0, 16, 0, 0, 0, 60, 0, 0, -96, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -16, -28, 0, -24, 0, 0, 0, 40, 0, 0, -132, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 64, -32, 0, 0, 0, 0, 0, -112, 0, 0, -56, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -36, 96, 0, -192, 0, 0, 0, -480, 0, 0, 40, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -8, -36, 0, -100, 0, 0, 0, -20, 0, 0, -28, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 158, 0, 0, 4, 0, 0, 0, 128, 0, 0, 168, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 124, 0, 0, -48, 0, 0, 0, -28, 0, 0, 136, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 12, 44, 0, 108, 0, 0, 0, -144, 0, 0, 16, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 28, -88, 0, -64, 0, 0, 0, -24, 0, 0, -108, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -20, -84, 0, -176, 0, 0, 0, 20, 0, 0, -84, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 168, -128, 0, -8, 0, 0, 0, 84, 0, 0, 180, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -64, -48, 0, -16, 0, 0, 0, 24, 0, 0, -32, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -124, -52, 0, -52, 0, 0, 0, -76, 0, 0, 196, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 128, -100, 0, 8, 0, 0, 0, -312, 0, 0, 80, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 100, 132, 0, -68, 0, 0, 0, -28, 0, 0, -40, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 216, -16, 0, -12, 0, 0, 0, -16, 0, 0, 60, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 132, -76, 0, 104, 0, 0, 0, 66, 0, 0, -12, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 16, 48, 0, -96, 0, 0, 0, -24, 0, 0, -12, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -168, -20, 0, -8, 0, 0, 0, -108, 0, 0, 16, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 12, -384, 0, 92, 0, 0, 0, -132, 0, 0, -60, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 12, -2, 0, 60, 0, 0, 0, 180, 0, 0, -260, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 4, 48, 0, 200, 0, 0, 0, 72, 0, 0, -56, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 124, 88, 0, 48, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 48, 12, 0, -32, 0, 0, 0, 168, 0, 0, 34, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -272, 208, 0, 56, 0, 0, 0, 68, 0, 0, -180, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 60, 96, 0, 56, 0, 0, 0, -96, 0, 0, 120, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 280, 32, 0, -16, 0, 0, 0, 4, 0, 0, -16, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -92, 132, 0, 108, 0, 0, 0, -100, 0, 0, -16, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, -20, -52, 0, 132, 0, 0, 0, 384, 0, 0, -20, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -64, -108, 0, 0, 0, 0, 0, -160, 0, 0, 44, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 26, 40, 0, -4, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -60, -8, 0, 28, 0, 0, 0, -192, 0, 0, -40, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, -88, 96, 0, -12, 0, 0, 0, -32, 0, 0, 20, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 44, 40, 0, -28, 0, 0, 0, 384, 0, 0, 60, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -44, -228, 0, -4, 0, 0, 0, -4, 0, 0, -144, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -168, 48, 0, -272, 0, 0, 0, -68, 0, 0, 60, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 352, 16, 0, 36, 0, 0, 0, 8, 0, 0, 128, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 40, 0, 156, 0, 0, 0, -66, 0, 0, -32, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -60, 36, 0, -140, 0, 0, 0, -26, 0, 0, -208, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -96, -72, 0, -116, 0, 0, 0, -132, 0, 0, -48, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 228, -36, 0, 96, 0, 0, 0, -36, 0, 0, 72, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 4, 12, 0, -60, 0, 0, 0, 224, 0, 0, 192, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -160, 36, 0, 12, 0, 0, 0, 60, 0, 0, 56, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, -32, 0, 44, 0, 0, 0, -36, 0, 0, 72, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 48, -108, 0, -16, 0, 0, 0, 80, 0, 0, -76, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -120, -32, 0, -160, 0, 0, 0, 104, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 78, 0, 70, 0, 0, 0, 20, 0, 0, 40, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, -220, 0, 168, 0, 0, 0, -84, 0, 0, 4, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 36, 32, 0, 112, 0, 0, 0, -36, 0, 0, -12, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 24, 572, 0, 288, 0, 0, 0, -140, 0, 0, -80, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -96, -88, 0, -60, 0, 0, 0, -32, 0, 0, -72, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -72, -96, 0, 188, 0, 0, 0, -128, 0, 0, -28, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -44, -16, 0, -216, 0, 0, 0, 24, 0, 0, 176, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -56, 16, 0, 0, 0, 0, 0, -24, 0, 0, -44, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -112, -24, 0, 24, 0, 0, 0, 80, 0, 0, -96, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 312, -8, 0, -20, 0, 0, 0, -12, 0, 0, -24, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 16, -28, 0, -104, 0, 0, 0, 12, 0, 0, 4, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 212, 0, -204, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 92, -144, 0, 20, 0, 0, 0, -12, 0, 0, -64, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -224, -420, 0, 84, 0, 0, 0, -52, 0, 0, 48, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -480, 20, 0, -72, 0, 0, 0, -120, 0, 0, 240, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 16, 196, 0, -112, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 48, -42, 0, 52, 0, 0, 0, -32, 0, 0, -28, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 38, -120, 0, -122, 0, 0, 0, 468, 0, 0, -28, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 48, 60, 0, -96, 0, 0, 0, -72, 0, 0, -64, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 84, 76, 0, -48, 0, 0, 0, 88, 0, 0, 384, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, -44, 0, 0, 16, 0, 0, 0, -104, 0, 0, -340, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 108, -64, 0, 180, 0, 0, 0, 160, 0, 0, 52, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 228, 16, 0, 132, 0, 0, 0, 156, 0, 0, -208, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -26, 60, 0, 188, 0, 0, 0, 124, 0, 0, -28, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -60, -120, 0, -16, 0, 0, 0, -2, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 304, 0, 244, 0, 0, 0, -260, 0, 0, 40, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 112, 0, 0, 480, 0, 0, 0, 20, 0, 0, 36, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -40, 108, 0, -40, 0, 0, 0, -348, 0, 0, 28, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 20, -364, 0, 16, 0, 0, 0, 128, 0, 0, -48, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -228, 34, 0, 352, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, -16, 12, 0, 36, 0, 0, 0, 20, 0, 0, 156, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 120, 124, 0, 60, 0, 0, 0, -188, 0, 0, 136, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 32], "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": "9702.2.a.cm", "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, 3], [0, 0], [0, 0], [-1, 0], [0, 0], [0, -3], [-1, 0], [0, 0], [0, -4], [0, 0], [0, 0], [1, 0], [0, -5], [0, 0], [0, -1], [0, 3], [0, 0], [1, 0], [8, 0], [0, 0], [13, 0], [0, 4], [0, 0], [0, 0], [8, 0], [0, 0], [0, -3], [-1, 0], [0, 0], [0, 5], [0, 0], [0, 0], [2, 0], [0, 1], [0, 0], [0, -3], [0, 1], [0, 0], [8, 0], [-1, 0], [0, 0], [-8, 0], [0, 7], [0, 0], [0, 0], [-13, 0], [0, 0], [0, -4], [2, 0], [0, 0], [0, -3], [0, 0], [0, 0], [-8, 0], [0, -6], [0, 0], [0, 0], [0, 3], [0, 0], [1, 0], [-24, 0], [0, 0], [-2, 0], [0, -5], [0, 0], [0, 0], [-12, 0], [0, 0], [0, -5], [-2, 0], [0, 0], [0, -1], [0, 0], [0, 0], [14, 0], [0, 3], [0, 0], [0, -1], [0, 9], [0, 0], [-30, 0], [-8, 0], [0, 0], [1, 0], [0, 2], [0, 0], [0, 0], [8, 0], [0, 0], [0, -7], [-6, 0], [0, 0], [0, 0], [0, 0], [0, 0], [13, 0]]}