# Stored data for newform 9072.2.a.y, downloaded from the LMFDB on 28 March 2024. {"label": "9072.2.a.y", "space_label": "9072.2.a", "level": 9072, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090455408, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 345860649796929235, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [1, 4, 1]], [11, [-26, -2, 1]], [13, [-3, 6, 1]]], "qexp_display": "q+(-2+\\beta )q^{5}+q^{7}+(1+3\\beta )q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36288, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 72.44028471370557, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [9072, 1, [1135, 6805, 3809, 2593], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "1.951", "prec": 17}, {"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "9.438", "prec": 17}, {"__RealLiteral__": 0, "data": "1.643", "prec": 17}, {"__RealLiteral__": 0, "data": "64.290", "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]], "trace_display": [0, 0, -4, 2], "traces": [0, 2, 0, 0, 0, -4, 0, 2, 0, 0, 0, 2, 0, -6, 0, 0, 0, -14, 0, 2, 0, 0, 0, 2, 0, 4, 0, 0, 0, -10, 0, -6, 0, 0, 0, -4, 0, 4, 0, 0, 0, -12, 0, -4, 0, 0, 0, 6, 0, 2, 0, 0, 0, 12, 0, 14, 0, 0, 0, -2, 0, -6, 0, 0, 0, 0, 0, 10, 0, 0, 0, 20, 0, 20, 0, 0, 0, 2, 0, -6, 0, 0, 0, 2, 0, 28, 0, 0, 0, -6, 0, -6, 0, 0, 0, -10, 0, 8, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 0, -22, 0, 0, 0, -14, 0, 34, 0, 0, 0, -12, 0, -24, 0, 0, 0, 28, 0, 2, 0, 0, 0, 20, 0, 10, 0, 0, 0, -42, 0, 32, 0, 0, 0, -18, 0, 22, 0, 0, 0, -6, 0, -2, 0, 0, 0, 2, 0, 20, 0, 0, 0, -14, 0, 16, 0, 0, 0, -16, 0, 4, 0, 0, 0, 6, 0, -12, 0, 0, 0, 22, 0, -14, 0, 0, 0, 6, 0, 10, 0, 0, 0, 10, 0, 14, 0, 0, 0, -10, 0, 36, 0, 0, 0, -16, 0, 38, 0, 0, 0, 20, 0, -6, 0, 0, 0, 42, 0, 44, 0, 0, 0, -24, 0, 2, 0, 0, 0, 16, 0, -6, 0, 0, 0, 18, 0, -32, 0, 0, 0, -4, 0, 6, 0, 0, 0, -6, 0, -52, 0, 0, 0, -6, 0, 4, 0, 0, 0, -30, 0, -12, 0, 0, 0, 20, 0, -6, 0, 0, 0, -68, 0, 4, 0, 0, 0, 16, 0, 4, 0, 0, 0, -12, 0, 64, 0, 0, 0, -24, 0, 22, 0, 0, 0, 30, 0, -4, 0, 0, 0, 36, 0, 16, 0, 0, 0, 10, 0, 20, 0, 0, 0, 42, 0, 26, 0, 0, 0, -14, 0, 36, 0, 0, 0, 6, 0, -4, 0, 0, 0, -14, 0, -12, 0, 0, 0, -60, 0, 2, 0, 0, 0, 36, 0, -4, 0, 0, 0, 36, 0, -52, 0, 0, 0, -8, 0, -30, 0, 0, 0, -46, 0, 2, 0, 0, 0, 12, 0, -40, 0, 0, 0, 6, 0, 10, 0, 0, 0, -16, 0, 14, 0, 0, 0, 20, 0, -14, 0, 0, 0, 54, 0, -42, 0, 0, 0, 24, 0, 54, 0, 0, 0, 94, 0, 52, 0, 0, 0, -2, 0, 50, 0, 0, 0, -12, 0, -24, 0, 0, 0, -28, 0, -6, 0, 0, 0, -36, 0, 28, 0, 0, 0, 20, 0, -12, 0, 0, 0, -34, 0, -12, 0, 0, 0, -4, 0, 24, 0, 0, 0, 0, 0, 14, 0, 0, 0, -28, 0, 34, 0, 0, 0, -2, 0, 10, 0, 0, 0, 32, 0, 28, 0, 0, 0, 2, 0, -72, 0, 0, 0, 8, 0, 26, 0, 0, 0, 60, 0, 70, 0, 0, 0, 20, 0, -50, 0, 0, 0, 42, 0, -16, 0, 0, 0, -36, 0, 20, 0, 0, 0, 44, 0, 24, 0, 0, 0, 60, 0, -4, 0, 0, 0, 42, 0, 10, 0, 0, 0, 12, 0, 0, 0, 0, 0, 2, 0, 24, 0, 0, 0, 26, 0, 42, 0, 0, 0, -22, 0, -6, 0, 0, 0, -34, 0, -12, 0, 0, 0, -16, 0, -10, 0, 0, 0, -36, 0, 42, 0, 0, 0, 76, 0, 32, 0, 0, 0, 2, 0, 48, 0, 0, 0, 26, 0, 12, 0, 0, 0, -18, 0, 28, 0, 0, 0, -6, 0, 28, 0, 0, 0, -32, 0, 18, 0, 0, 0, -30, 0, 12, 0, 0, 0, 28, 0, -8, 0, 0, 0, -6, 0, 34, 0, 0, 0, -28, 0, -10, 0, 0, 0, 48, 0, -6, 0, 0, 0, -20, 0, 50, 0, 0, 0, 12, 0, 52, 0, 0, 0, 12, 0, -68, 0, 0, 0, -52, 0, 2, 0, 0, 0, -10, 0, -46, 0, 0, 0, 66, 0, -2, 0, 0, 0, -72, 0, 8, 0, 0, 0, 24, 0, -46, 0, 0, 0, -60, 0, 56, 0, 0, 0, -26, 0, 84, 0, 0, 0, -34, 0, -26, 0, 0, 0, -4, 0, -32, 0, 0, 0, 48, 0, 18, 0, 0, 0, -12, 0, -4, 0, 0, 0, -68, 0, -68, 0, 0, 0, 28, 0, 60, 0, 0, 0, 28, 0, 30, 0, 0, 0, -60, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 0, -62, 0, 0, 0, 0, 0, -74, 0, -4, 0, 0, 0, -30, 0, -40, 0, 0, 0, -16, 0, 60, 0, 0, 0, -24, 0, -16, 0, 0, 0, 4, 0, 36, 0, 0, 0, 8, 0, -30, 0, 0, 0, 0, 0, -42, 0, 0, 0, 2, 0, -22, 0, 0, 0, -40, 0, -26, 0, 0, 0, -28, 0, -16, 0, 0, 0, -38, 0, 40, 0, 0, 0, -12, 0, -28, 0, 0, 0, -14, 0, 46, 0, 0, 0, -4, 0, 16, 0, 0, 0, 40, 0, 34, 0, 0, 0, -86, 0, -44, 0, 0, 0, 6, 0, -28, 0, 0, 0, 10, 0, 38, 0, 0, 0, 120, 0, -42, 0, 0, 0, -12, 0, -28, 0, 0, 0, -12, 0, 2, 0, 0, 0, -54, 0, -24, 0, 0, 0, 0, 0, -30, 0, 0, 0, -6, 0, -84, 0, 0, 0, -12, 0, 72, 0, 0, 0, 36, 0, 164, 0, 0, 0, 28, 0, -2, 0, 0, 0, -36, 0, -112, 0, 0, 0, 6, 0, 2, 0, 0, 0, -98, 0, 28, 0, 0, 0, 44, 0, -48, 0, 0, 0, -44, 0, -48, 0, 0, 0, 52, 0, -42, 0, 0, 0, 20, 0, 10, 0, 0, 0, 28, 0, -10, 0, 0, 0, 42, 0, 10, 0, 0, 0, -60, 0, -78, 0, 0, 0, 48, 0, -92, 0, 0, 0, -40, 0, 38, 0, 0, 0, 14, 0, 34, 0, 0, 0, -42, 0, 14, 0, 0, 0, 0, 0, 22, 0, 0, 0, 12, 0, 32, 0, 0, 0, -20, 0, -10, 0, 0, 0, -72, 0, -66, 0, 0, 0, 42, 0, 54, 0, 0, 0, 42, 0, -36, 0, 0, 0, -18, 0, 44, 0, 0, 0, -4, 0, -72, 0, 0, 0, -82, 0, 22, 0, 0, 0, 10, 0, -4, 0, 0, 0, 80, 0, -38, 0, 0, 0, 40, 0, -56, 0, 0, 0, -114, 0, -12, 0, 0, 0, -6, 0, -36, 0, 0, 0, -40, 0, -40, 0, 0, 0, 20, 0, -2, 0, 0, 0, -56, 0, 0, 0, 0, 0, 120, 0, -76, 0, 0, 0, -76, 0, 36, 0, 0, 0, -20, 0, 50, 0, 0, 0, 2, 0, 60, 0, 0, 0, 104, 0, 24, 0, 0, 0, -70, 0, 20, 0, 0, 0, -16, 0, -102, 0, 0, 0, 66, 0, 8, 0, 0, 0, 66, 0, -30, 0, 0, 0, -12, 0, -50, 0, 0, 0, -14, 0, -2, 0, 0, 0, -12, 0, 0, 0, 0, 0, 112, 0, 16, 0, 0, 0, 96, 0, 84, 0, 0, 0, 52, 0, -102, 0, 0, 0, 50, 0, 58, 0, 0, 0, 70, 0, -140, 0, 0, 0, -16, 0, 44, 0, 0, 0, -54, 0, -24, 0, 0, 0, -54, 0, 4, 0, 0, 0, 30, 0, 90, 0, 0, 0, -6, 0, -20, 0, 0, 0, -140, 0, 26, 0, 0, 0, 44, 0, 72, 0, 0, 0, 6, 0, -54, 0, 0, 0, -30, 0, -72, 0, 0, 0, 104, 0, -12, 0, 0, 0, 0, 0, 4, 0, 0, 0, 60, 0, -82, 0, 0, 0, 42, 0, 0, 0, 0, 0, -36, 0, 56, 0, 0, 0, 22, 0, -68, 0, 0, 0, 8, 0, -12, 0, 0, 0, 64, 0, -14, 0, 0, 0, 60, 0, 90, 0, 0, 0, -24, 0, 52, 0, 0, 0, -24, 0, 28, 0, 0, 0, 120, 0, -24, 0, 0, 0, 6, 0, -60, 0, 0, 0, 42, 0, -94, 0, 0, 0, 32, 0, 10, 0, 0, 0, 90, 0, -56, 0, 0, 0, -134, 0, -18, 0, 0, 0, 68, 0, 84, 0, 0, 0, -86, 0, 78, 0, 0, 0, 10, 0, -16, 0, 0, 0, -80, 0, 26, 0, 0, 0, 0, 0, 14, 0, 0, 0, -24, 0, -98, 0, 0, 0, -78, 0, -14, 0, 0, 0, -84, 0, -14, 0, 0, 0, -68, 0, -24, 0, 0, 0, -10, 0, -44, 0, 0, 0, -12, 0, -44, 0, 0, 0, 76, 0, 36, 0, 0, 0, 112, 0, -8, 0, 0, 0, -128, 0, -24, 0, 0, 0, 114, 0, -72, 0, 0, 0, -36, 0, 28, 0, 0, 0, -16, 0, 78, 0, 0, 0, -36, 0, -38, 0, 0, 0, -76, 0, 38, 0, 0, 0, -48, 0, -22, 0, 0, 0, 24, 0, 32, 0, 0, 0, 36, 0, -18, 0, 0, 0, -54, 0, -48, 0, 0, 0, 20, 0, 2, 0, 0, 0, 22, 0, 42, 0, 0, 0, 36, 0, -6, 0, 0, 0, 2, 0, -108, 0, 0, 0, -8, 0, -70, 0, 0, 0, 16, 0, -36, 0, 0, 0, -8, 0, -40, 0, 0, 0, 42, 0, -72, 0, 0, 0, 76, 0, -2, 0, 0, 0, -42, 0, 44, 0, 0, 0, 14, 0, -60, 0, 0, 0, 44, 0, -174, 0, 0, 0, -52, 0, -28, 0, 0, 0, -42, 0, -48, 0, 0, 0, -24, 0, 52, 0, 0, 0, -130, 0, 20, 0, 0, 0, 30, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, -20, 0, 70, 0, 0, 0, 38, 0, 16, 0, 0, 0, -24, 0, -18, 0, 0, 0, 16, 0, 56, 0, 0, 0, -52, 0, -18, 0, 0, 0, -72, 0, -6, 0, 0, 0, -56, 0, 72, 0, 0, 0, -28, 0, -44, 0, 0, 0, -32, 0, 70, 0, 0, 0, -62, 0, 14, 0, 0, 0, 18, 0, -4, 0, 0, 0, 38, 0, 14, 0, 0, 0, -12, 0, -32, 0, 0, 0, 18, 0, -100, 0, 0, 0, 12, 0, -14, 0, 0, 0, -60, 0, 48, 0, 0, 0, -42, 0, 46, 0, 0, 0, -4, 0, 28, 0, 0, 0, -10, 0, 52, 0, 0, 0, -2, 0, 6, 0, 0, 0, -6, 0, -60, 0, 0, 0, 42, 0, -42, 0, 0, 0, 20, 0, 86, 0, 0, 0, 28, 0, 60, 0, 0, 0, -6, 0, 44, 0, 0, 0, 48, 0, -72, 0, 0, 0, 78, 0, -52, 0, 0, 0, 88, 0, 44, 0, 0, 0, -48, 0, -48, 0, 0, 0, 86, 0, -48, 0, 0, 0, 56, 0, -8, 0, 0, 0, -6, 0, -10, 0, 0, 0, 48, 0, -18, 0, 0, 0, 36, 0, 4, 0, 0, 0, -132, 0, 0, 0, 0, 0, 42, 0, 64, 0, 0, 0, -48, 0, 30, 0, 0, 0, -46, 0, 40, 0, 0, 0, -30, 0, -16, 0, 0, 0, 36, 0, -54, 0, 0, 0, 28, 0, -12, 0, 0, 0, 232, 0, 10, 0, 0, 0, 128, 0, -102, 0, 0, 0, 20, 0, -138, 0, 0, 0, 76, 0, 98, 0, 0, 0, 20, 0, 12, 0, 0, 0, 42, 0, -54, 0, 0, 0, 58, 0, -6, 0, 0, 0, 12, 0, 2, 0, 0, 0, -18, 0, -160, 0, 0, 0, 48, 0, 128, 0, 0, 0, 20, 0, -56, 0, 0, 0, -68, 0, -24, 0, 0, 0, -86, 0, 4, 0, 0, 0, 54, 0, 4, 0, 0, 0, -38, 0, -28, 0, 0, 0, 12, 0, 62, 0, 0, 0, 154, 0, -40, 0, 0, 0, 84, 0, -30, 0, 0, 0, 16, 0, -48, 0, 0, 0, 36, 0, -180, 0, 0, 0, 24, 0, 4, 0, 0, 0, 84, 0, -12, 0, 0, 0, -120, 0, -40, 0, 0, 0, -12, 0, 52, 0, 0, 0, -60, 0, -126, 0, 0, 0, -12, 0, 50, 0, 0, 0, -18, 0, 4, 0, 0, 0, 0, 0, 64, 0, 0, 0, 112, 0, -68, 0, 0, 0, 0, 0, -122, 0, 0, 0, -118, 0, 6, 0, 0, 0, -134, 0, 66, 0, 0, 0, -24, 0, 52, 0, 0, 0, -238, 0, -124, 0, 0, 0, 12, 0, 22, 0, 0, 0, 68, 0, -22, 0, 0, 0, -212, 0, -48, 0, 0, 0, 92, 0, 86, 0, 0, 0, -32, 0, 4, 0, 0, 0, 30, 0, 12, 0, 0, 0, 78, 0, -84, 0, 0, 0, 90, 0, -4, 0, 0, 0, 16, 0, 4, 0, 0, 0, -112, 0, -84, 0, 0, 0, 154, 0, 84, 0, 0, 0, -36, 0, -58, 0, 0, 0, 36, 0, 44, 0, 0, 0, 24, 0, -50, 0, 0, 0, 2, 0, 16, 0, 0, 0, 44, 0, 84, 0, 0, 0, 168, 0, -44, 0, 0, 0, -50, 0, -206, 0, 0, 0, 6, 0, -48, 0, 0, 0, 10, 0, 32, 0, 0, 0, 86, 0, -64, 0, 0, 0, 140, 0, 20, 0, 0, 0, -36, 0, -114, 0, 0, 0, -24, 0, -128, 0, 0, 0, -10, 0, -70, 0, 0, 0, -20, 0, 74, 0, 0, 0, 42, 0, -68, 0, 0, 0, 84, 0, -196, 0, 0, 0, -64, 0, 26, 0, 0, 0, 34, 0, 30, 0, 0, 0, -136, 0, -40, 0, 0, 0, 36, 0, -128, 0, 0, 0, -144, 0, 108, 0, 0, 0, -14, 0, -42, 0, 0, 0, 22, 0, 72, 0, 0, 0, 2, 0, 36, 0, 0, 0, 0, 0, -20, 0, 0, 0, -76, 0, -26, 0, 0, 0, 114, 0, 88, 0, 0, 0, 36, 0, -2, 0, 0, 0, 6, 0, 128, 0, 0, 0, 0, 0, 84, 0, 0, 0, -122, 0, -4, 0, 0, 0, 20, 0, 68, 0, 0, 0, 18, 0, -140, 0, 0, 0, 54, 0, -50, 0, 0, 0, -90, 0, 10, 0, 0, 0, -14, 0, 68, 0, 0, 0, 36, 0, 108, 0, 0, 0, 12, 0, -12, 0, 0, 0, -70, 0, -88, 0, 0, 0, -112, 0, -16, 0, 0, 0, -42, 0, 94, 0, 0, 0, -54, 0, -48, 0, 0, 0, -60, 0, -16, 0, 0, 0, 118, 0, -82, 0, 0, 0, -8, 0, 2, 0, 0, 0, 30, 0, 98, 0, 0, 0, -96, 0, -24, 0, 0, 0, -44, 0, 48, 0, 0, 0, -40, 0, -80, 0, 0, 0, 36, 0, 294, 0, 0, 0, -106, 0, 80, 0, 0, 0, -134, 0, -4, 0, 0, 0, -44, 0, -108, 0, 0, 0, 80, 0, -132, 0, 0, 0, -136, 0, 0, 0, 0, 0, -224, 0, 154, 0, 0, 0, 36, 0, 82, 0, 0, 0, -12, 0, 50, 0, 0, 0, 42, 0, -52, 0, 0, 0, 40, 0, 48, 0, 0, 0, 118, 0, -96, 0, 0, 0, 84, 0, -6, 0, 0, 0, -58, 0, -126, 0, 0, 0, -8, 0, -18, 0, 0, 0, -34, 0, 20, 0, 0, 0, 88, 0, -30, 0, 0, 0, -88, 0, 126, 0, 0, 0, 40, 0, 16, 0, 0, 0, -72, 0, 24, 0, 0, 0, 98, 0, -80, 0, 0, 0, -46, 0, 56, 0, 0, 0, 114, 0, -38, 0, 0, 0, -154, 0, 2, 0, 0, 0, -168, 0, -152, 0, 0, 0, 114, 0, -18, 0, 0, 0, 12, 0, -126, 0, 0, 0, -28, 0, 56, 0, 0, 0, 12, 0, -10, 0, 0, 0, 26, 0, -120, 0, 0, 0, 52, 0, -40, 0, 0, 0, -100, 0, -80, 0, 0, 0, 0, 0, 60, 0, 0, 0, -20, 0, -180, 0, 0, 0, 104, 0, 42, 0, 0, 0, 6, 0, 16, 0, 0, 0, -56, 0, 76, 0, 0, 0, -14, 0, 10, 0, 0, 0, -36, 0, 106, 0, 0, 0, -44, 0, 12, 0, 0, 0, 14, 0, -46, 0, 0, 0, 0, 0, -10, 0, 0, 0, -16, 0, -74, 0, 0, 0, -22, 0, 70, 0, 0, 0, -96, 0, 14, 0, 0, 0, 14, 0, 10, 0, 0, 0, -78, 0, 68, 0, 0, 0, 82, 0, 90, 0, 0, 0, 24, 0, 46, 0, 0, 0, 20, 0, -80, 0, 0, 0, -14, 0, -60, 0, 0, 0, -78, 0, -14, 0, 0, 0, -14, 0, -102, 0, 0, 0, -48, 0, -86, 0, 0, 0, 120, 0, 86, 0, 0, 0, 90, 0, -204, 0, 0, 0, 54, 0, 172, 0, 0, 0, -140, 0, 12, 0, 0, 0, -34, 0, -42, 0, 0, 0, -74, 0, 44, 0, 0, 0, 84, 0, 38, 0, 0, 0, 12, 0, 68, 0, 0, 0, -96, 0, 14, 0, 0, 0, 24, 0, -10, 0, 0, 0, 8, 0, 128, 0, 0, 0, 8, 0, 54, 0, 0, 0, -8, 0, -42, 0, 0, 0, -18, 0, -100, 0, 0, 0, -38, 0, 98, 0, 0, 0, 26, 0, 54, 0, 0, 0, 94, 0, 90, 0, 0, 0, -78, 0, -2, 0, 0, 0, -56, 0, 52, 0, 0, 0, 6, 0, 40, 0, 0, 0, -112, 0, -102, 0, 0, 0, -46, 0, -8, 0, 0, 0, -34, 0, -74, 0, 0, 0, -2, 0, 60, 0, 0, 0, -30, 0, -156, 0, 0, 0, 142, 0, 50, 0, 0, 0, 4, 0, -144, 0, 0, 0, 24, 0, -44, 0, 0, 0, -24, 0, 198, 0, 0, 0, -100, 0, -28, 0, 0, 0, -12, 0, -46, 0, 0, 0, 78, 0, 112, 0, 0, 0, -24, 0, -24, 0, 0, 0, 120, 0, 76, 0, 0, 0, -76, 0, -142, 0, 0, 0, -14, 0, 144, 0, 0, 0, 36, 0, 156, 0, 0, 0, -28, 0, 18, 0, 0, 0, 228, 0, -2, 0, 0, 0, 92, 0, -6, 0, 0, 0, -132, 0, -30, 0, 0, 0, 86, 0, 68, 0, 0, 0, -38, 0, -96, 0, 0, 0, -84, 0, 64, 0, 0, 0, -36, 0, 50, 0, 0, 0, 58, 0, -76, 0, 0, 0, -12, 0, 28, 0, 0, 0, 18, 0, -4, 0, 0, 0, -82, 0, -42, 0, 0, 0, -212, 0, 20, 0, 0, 0, -64, 0, 6, 0, 0, 0, 20, 0, 28, 0, 0, 0, 48, 0, -158, 0, 0, 0, 274, 0, -12, 0, 0, 0, 84, 0, -186, 0, 0, 0, 22, 0, -146, 0, 0, 0, -48, 0, 70, 0, 0, 0, 112, 0, 8, 0, 0, 0, -34, 0, 0, 0, 0, 0, 78, 0, -64, 0, 0, 0, -176, 0, -12, 0, 0, 0, -48, 0, -32, 0, 0, 0, 16, 0, 24, 0, 0, 0, 84, 0, 84, 0, 0, 0, -60, 0, -52, 0, 0, 0, -4, 0, -154, 0, 0, 0, 36, 0, 38, 0, 0, 0, 50, 0, 24, 0, 0, 0, 56, 0, -20, 0, 0, 0, -86, 0, -160, 0, 0, 0, -32, 0, -48, 0, 0, 0, 64, 0, 20, 0, 0, 0, 0, 0, -40, 0, 0, 0, -30, 0, -96, 0, 0, 0, 28, 0, 14, 0, 0, 0, -102, 0, -62, 0, 0, 0, 42, 0, -56, 0, 0, 0, -154, 0, 116, 0, 0, 0, 54, 0, 66, 0, 0, 0, -28, 0, 80, 0, 0, 0, 12, 0, -60, 0, 0, 0, 120, 0, 34, 0, 0, 0, -104, 0, -42, 0, 0, 0, 30, 0, 54, 0, 0, 0, -12, 0, -128, 0, 0, 0, 150, 0, 60, 0, 0, 0, -2, 0, 98, 0, 0, 0, 104, 0, -28, 0, 0, 0, -70, 0, 10, 0, 0, 0, -22, 0, 156, 0, 0, 0, -132, 0, 68, 0, 0, 0, -58, 0, 32, 0, 0, 0, -52, 0, 2, 0, 0, 0, 32, 0, 70, 0, 0, 0, 0, 0, 22, 0, 0, 0, 88, 0, 28, 0, 0, 0, -36, 0, -56, 0, 0, 0, 194, 0, 48, 0, 0, 0, 42, 0, 2, 0, 0, 0, -144, 0, -70, 0, 0, 0, 2, 0, -162, 0, 0, 0, -20, 0, -38, 0, 0, 0, -56, 0, -72, 0, 0, 0, -72, 0, 66, 0, 0, 0, 160, 0, -42, 0, 0, 0, -98, 0, 144, 0, 0, 0, -84, 0, 98, 0, 0, 0, 8, 0, 96, 0, 0, 0, 24, 0, 96, 0, 0, 0, 30, 0, 26, 0, 0, 0, -74, 0, -96, 0, 0, 0, 30, 0, 64, 0, 0, 0, 64, 0, -18, 0, 0, 0, 54, 0, -84, 0, 0, 0, 60, 0, 24, 0, 0, 0, 182, 0, 12, 0, 0, 0, 78, 0, 70, 0, 0, 0, -112, 0, 204], "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": "1134.2.a.l", "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], [1, 0], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [1, 3], [0, 0], [-3, -2], [0, 0], [0, 0], [0, 0], [-7, 0], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [1, -3], [0, 0], [2, -4], [0, 0], [0, 0], [0, 0], [-5, 2], [0, 0], [-3, -3], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [2, 5], [0, 0], [0, 0], [0, 0], [-6, 2], [0, 0], [-2, 2], [0, 0], [0, 0], [0, 0], [3, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [6, 2], [0, 0], [7, -5], [0, 0], [0, 0], [0, 0], [-1, 3], [0, 0], [-3, 4], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [5, 1], [0, 0], [0, 0], [0, 0], [10, -2], [0, 0], [10, -1], [0, 0], [0, 0], [0, 0], [1, 3], [0, 0], [-3, 7], [0, 0], [0, 0], [0, 0], [1, 9], [0, 0], [14, -7], [0, 0], [0, 0], [0, 0], [-3, -4], [0, 0], [-3, -2], [0, 0], [0, 0], [0, 0], [-5, 3], [0, 0], [4, 4], [0, 0], [0, 0], [0, 0]]}