# Stored data for newform 7350.2.a.cs, downloaded from the LMFDB on 25 April 2024.
{"label": "7350.2.a.cs", "space_label": "7350.2.a", "level": 7350, "weight": 2, "hecke_orbit": 71, "hecke_orbit_code": 315251973949496502, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2146663347326588322, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [0, 1]], [13, [-2, 1]], [17, [6, 1]], [19, [8, 1]], [23, [0, 1]], [31, [-4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29400, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 58.69004548564108, "hecke_ring_index": 1, "level_radical": 210, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [7350, 1, [4901, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.952", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.855", "prec": 17}], "related_objects": ["EllipticCurve/Q/7350/cs"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [7, -1]], "trace_display": [1, 1, 0, 0], "traces": [0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, -6, 1, -8, 0, 0, 0, 0, 1, 0, 2, 1, 0, 6, 0, 4, 1, 0, -6, 0, 1, 10, -8, 2, 0, 6, 0, 4, 0, 0, 0, 0, 1, 0, 0, -6, 2, 6, 1, 0, 0, -8, 6, 12, 0, 10, 4, 0, 1, 0, 0, 4, -6, 0, 0, 12, 1, -10, 10, 0, -8, 0, 2, 8, 0, 1, 6, 12, 0, 0, 4, 6, 0, 6, 0, 0, 0, 4, 0, 0, 1, -10, 0, 0, 0, -6, -6, 8, 2, 0, 6, -12, 1, 14, 0, 10, 0, -6, -8, 0, 6, 2, 12, 0, 0, -11, 10, 6, 4, 0, 0, -8, 1, 4, 0, 12, 0, 0, 4, 0, -6, -6, 0, 16, 0, 0, 12, 0, 1, 0, -10, 0, 10, 6, 0, 8, -8, -6, 0, 0, 2, -22, 8, 6, 0, 0, 1, -20, 6, 0, 12, 0, 0, -9, 0, -8, 4, 6, 6, 0, 0, 12, 6, -24, 0, 10, 0, 10, 0, 0, 4, 0, 0, 0, 0, 12, 1, -2, -10, 0, 0, -18, 0, -20, 0, 4, -6, 0, -6, 0, 8, 0, 2, 0, 0, -4, 6, 12, -12, 0, 1, 0, 14, -10, 0, -12, 10, 8, 0, 0, -6, 12, -8, -14, 0, 0, 6, -30, 2, 0, 12, 8, 0, -12, 0, -26, -11, 1, 10, 0, 6, -16, 4, 12, 0, 12, 0, 0, -8, 0, 1, -30, 4, 0, 0, 6, 12, 24, 0, 0, 0, 6, 4, 18, 0, -20, -6, 0, -6, 0, 0, 10, 16, 4, 0, 18, 0, -4, 12, 0, 0, 0, 1, 19, 0, -10, -10, 30, 0, 0, 10, 0, 6, 0, 0, 0, 8, -6, -8, 0, -6, -4, 0, 8, 0, -24, 2, 14, -22, 0, 8, -18, 6, 0, 0, -12, 0, 48, 1, 0, -20, 14, 6, 0, 0, -28, 12, 10, 0, 0, 0, -2, -9, -6, 0, 0, -8, 0, 4, 0, 6, 12, 6, 10, 0, 2, 0, -6, 12, 0, 6, 0, -24, -12, 0, 45, 10, -11, 0, 0, 10, 8, 0, 6, 0, 0, 4, 34, 0, 0, 0, 12, 0, -4, 0, -8, 12, 24, 1, 0, -2, 4, -10, 6, 0, 0, 0, 12, -18, 0, 0, 2, -20, 0, 0, -30, 4, 8, -6, 0, 0, 0, -6, -26, 0, -6, 8, 0, 0, 0, 2, 16, 0, 12, 0, 38, -4, 0, 6, 0, 12, 0, -12, 0, 0, -12, 1, -10, 0, 0, 14, 0, -10, 28, 0, 0, -12, 12, 10, 0, 8, 6, 0, 18, 0, 0, -6, 8, 12, 0, -8, -2, -14, -6, 0, 18, 0, 40, 6, 0, -30, -36, 2, 0, 0, -22, 12, 0, 8, 0, 0, 6, -12, 0, 0, 20, -26, 0, -11, 0, 1, -32, 10, -20, 0, 0, 6, -36, -16, 0, 4, 0, 12, 20, 0, 0, 12, 0, 0, 0, 0, -9, -8, -30, 0, 0, 1, -8, -30, 0, 4, 0, 0, 6, 0, 6, 6, -28, 12, 0, 24, -24, 0, -23, 0, 12, 0, 12, 6, 0, 4, -24, 18, 0, 0, -34, -20, 10, -6, 0, 0, -44, -6, 10, 0, -48, 0, 0, 10, 0, 16, -18, 4, 8, 0, 0, 18, 36, 0, 0, -4, 0, 12, -6, 0, -4, 0, 12, 0, 0, 1, -10, 19, -2, 0, 0, -10, 0, -10, 0, 30, 12, 0, -32, 0, -18, 10, -6, 0, 0, 6, -20, 0, 36, 0, -2, 0, 4, 8, 0, -6, 8, -8, 0, 0, 0, -6, -38, -4, 0, 0, 18, 8, -32, 0, 0, -24, 0, 2, 0, 14, 0, -22, -60, 0, -16, 8, -4, -18, 0, 6, 0, 0, 12, 0, 42, -12, -4, 0, 0, 48, 0, 1, 0, 0, 0, -20, 6, 14, 0, 6, -10, 0, 48, 0, 34, -28, -12, 12, 0, 10, 0, 0, 8, 0, 0, 0, -26, -2, 0, -9, -18, -6, 0, 0, 12, 0, -36, -8, 0, 0, -14, 4, 12, 0, 16, 6, 0, 12, 0, 6, -36, 10, -30, 0, 6, 2, -80, 0, 0, -6, 0, 12, -10, 0, 8, 6, 0, 0, 0, -24, -12, -12, 24, 0, 0, 45, -26, 10, 0, -11, 32, 0, 1, 0, -24, 10, 2, 8, 0, 0, 0, 6, -28, 0, -16, 0, 24, 4, 0, 34, 12, 0, 0, 0, 8, 0, 12, 12, 0, 0, 34, -4, 0, 0, 6, -8, 0, 12, 0, 24, 24, 1, -26, 0, -30, -2, -18, 4, 0, -10, 0, 6, -48, 0, 0, 0, 6, 0, 0, 12, -4, -18, 24, 0, 0, 0, 20, 2, 0, -20, -42, 0, 0, 0, 6, -30, 0, 4, 0, 8, 18, -6, -30, 0, 16, 0, -20, 0, 0, -6, -32, -26, 0, 0, -18, -6, -32, 8, 0, 0, 36, 0, 34, 0, 10, 2, 0, 16, 0, 0, 4, 12, 0, 0, 7, 38, 18, -4, 0, 0, 0, 6, -4, 0, 0, 12, 26, 0, 0, -12, -6, 0, 40, 0, 0, -12, 24, 1, 0, -10, 19, 0, 0, 0, 8, 14, -10, 0, 0, -10, -14, 28, 30, 0, 30, 0, -44, -12, 0, 12, 24, 10, 0, 0, 0, 8, 0, 6, 0, 0, 0, 18, 24, 0, -36, 0, 0, -6, 0, 8, 28, 12, -6, 0, 12, -8, 0, -2, 0, -14, 0, -6, 32, 0, -4, 18, 24, 0, 0, 40, 8, 6, 30, 0, 0, -30, -24, -36, 0, 2, 38, 0, 14, 0, 18, -22, 0, 12, 0, 0, 36, 8, -20, 0, -18, 0, -30, 6, 0, -12, 0, 0, 0, 0, -15, 20, -12, -26, 0, 0, -8, -11, 48, 0, -36, 1, 0, -32, 0, 10, -6, -20, 0, 0, 14, 0, 24, 6, 0, -36, 0, -16, 0, 0, 8, 4, -28, 0, 0, 12, 26, 20, 10, 0, 0, 0, -72, 12, 0, 0, -48, 0, -46, 0, -2, 0, 30, -9, 0, -8, -6, -30, 0, 0, -14, 0, 0, 1, 0, -8, 16, -30, 0, 0, -36, 4, -26, 0, 0, 0, -60, 6, -20, 0, 12, 6, 0, 6, 0, -28, 10, 12, 6, 0, -28, 24, 2, -24, 0, 0, 0, -23, -6, 0, -42, 12, -16, 0, 0, 12, 0, 6, -14, 0, 0, 4, 60, -24, 0, 18, -12, 0, 24, 0, 0, -34, 45, -20, 0, 10, -32, -6, -11, 0, -12, 0, -62, -44, 0, -6, 18, 10, 0, 0, 8, -48, 0, 0, 0, 0, 6, 10, -6, 0, 0, 16, 0, -18, 0, 4, 34, 8, 34, 0, -96, 0, -4, 18, 0, 36, 0, 0, 26, 0, 12, -4, 0, 0, 0, 12, -4, -6, -24, 0, 0, -4, -8, 0, 0, 12, 40, 0, 24, 0, -24, 1, -10, -10, 0, 19, 12, -2, -80, 0, 4, 0, -12, -10, 0, 0, 6, -10, 0, 0, 20, 30, 0, 12, 0, 0, 0, -32, 12, 0, 18, -18, 0, 10, 0, -6, -12, 0, 36, 0, 2, 6, 66, -20, 0, 0, 0, 36, 0, 0, 50, -2, -30, 0, 0, 4, -72, 8, 8, 0, 0, -6, 10, 8, 0, -8, 18, 0, 0, 0, 0, 0, -48, -6, 0, -38, -26, -4, -42, 0, -44, 0, -6, 18, 0, 8, 50, -32, 0, 0, 60, 0, 0, -24, 0, 0, 24, 2, -26, 0, 16, 14, 0, 0, 0, -22, 12, -60, 12, 0, -20, -16, 38, 8, 0, -4, 0, -18, 0, 0, 24, 6, -32, 0, 0, 0, 6, 12, -20, 0, 0, 42, -36, -12, 0, -4, 0, 0, -30, 0, 40, 48, -12, 0, 0, 1, 22, 0, -10, 0, 42, 0, -8, -20, 0, 6, 36, 14, 0, 0, 0, 6, -12, -10, 0, 0, 28, 48, 0, 0, -2, 34, 0, -28, 0, -12, 40, 12, 12, 0, 0, 10, 16, 0, 0, 0, 0, 8, 16, 0, 6, 0, -48, 0, 0, -26, 18, -2, -96, 0, 0, -9, 0, -18, 0, -6, 0, 0, 8, 0, -18, 12, 0, 0, 0, -36, -24, -8, 63, 0, -2, 0, 6, -14, 0, 4, -6, 12, 0, 0, -10, 16, 18, 6, 0, 0, 80, 12, 40, 0, -24, 6, 0, -36, 0, 10, 0, -30, -20, 0, -36, 6, 0, 2, 0, -80, 0, 0, 42, 0, -72, -6, -22, 0, 0, 12, 28, -10, 0, 0, 0, 8, 16, 6, 0, 0, -60, 0, -10, 0, 6, -24, -54, -12, 0, -12, 0, 24, 60, 0, 0, 0, 20, 45, 0, -26, -40, 10, 0, 0, 0, -11, 58, 32, 0, 0, 0, 1, -56, 0, -32, -24, 0, 10, 0, 2, -20, 8, -12, 0, -16, 0, 0, 0, 0, 6, 0, -28, -36, 0, -30, -16, 68, 0, 0, 24, 48, 4, -50, 0, 0, 34, 30, 12, 0, 0, 20, 0, 48, 0, -64, 8, 0, 0, 0, 12, 0, 12, 0, 0, 48, 0, -36, 34, 0, -4, 60, 0, 0, 0, -9, 6, 12, -8, 0, 0, -30, 12, 0, 0, 16, 24, 0, 24, 0, 1, 36, -26, -8, 0, 0, -30, 8, -2, 0, -18, 0, 4, -34, 0, 0, -10, -30, 0, 0, 6, 6, -48, 48, 0, 0, 0, 6, 0, 0, 6, -40, 0, -28, 0, 60, 12, -22, -4, 0, -18, -96, 24, 68, 0, -24, 0, 24, 0, 0, 20, -23, 2, 0, 0, 40, -20, 12, -42, 0, 0, -14, 0, 12, 0, 30, 6, 0, -30, 0, 0, 48, 4, -26, 0, -24, 8, 6, 18, 0, -6, 0, -30, 24, 0, -10, 16, -34, 0, 0, -20, -4, 0, 10, 0, 0, -6, 0, -32, 0, -26, 78, 0, 0, 0, -44, -18, 24, -6, 0, -32, 10, 8, 60, 0, -16, 0, -48, 36, 0, 0, -34, 34, 0, 0, 0, 10, 40, 2, 0, 0, 36, 16, -62, 0, -18, 0, 0, 4, 0, 12, 8, 0, 0, 0, -5, 7, 0, 38, 0, 18, 0, -4, 36, 0, -48, 0, -70, 0, 0, 6, -54, -4, -32, 0, 0, 0, 24, 12, 0, 26, -6, 0, -42, 0, 72, -12, -4, -6, 0, 0, 36, 40, 12, 0, 54, 0, -68, -12, 0, 24, 0, 1, 0, 0, -10, -10, -18, 19, 0, 0, -2, 0, 0, 0, -14, 8, 0, 14, 0, -10, -20, 0, 0, 0, -48, -10, 14, -14, 0, 28, 0, 30, -40, 0, 12, 30, 24, 0, 0, -44, -32, -12, 60, 0, 0, 12, -18, 24, 0, 10, -58, 0, -6, 0, -12, 0, -16, 8, 0, 0, -12, 6, -82, 0, -20, 0, 0, 0, 0, 18, 36, 24, 0, 0, 74, -36, -2, 0, 0, 0, 32, -6, 4, 0, -60, 8, 0, 28, 0, 12, 0, -6, 72, 0, 8, 12, -48, -8, 0, 0, 0, -2, 48, 0, -16, -14, 0, 0, 0, -6, 0, 32, -38, 0, 0, -4, 80, 18, 0, 24, -24, 0, -27, 0, 18, 40, -84, 8, 0, 6, -32, 30, 0, 0, 10, 0, 0, -30, 0, -24, -76, -36, 0, 0, 60, 2, -26, 38, 0, 0, -42, 14, -20, 0, 0, 18, 0, -22, 0, 0, -60, 12, 30, 0, 40, 0, -16, 36, 0, 8, 0, -20, -4, 0, -42, -18, 0, 0, 0, -30, -36, 6, 0, 0, 0, -12, 18, 0, 0, 0, 12, 0, 48, 0, 36, -15, 42, 20, 0, -12, 0, -26, -4, 0, -60, 0, -86, -8, 0, -11, 12, 48, 0, 0, 0, -36, 24, 1, 0, 0, 0, -32, 66, 0, -20, 10, 0, -6, 0, -20, -64, 0, 6, 0, 60, 14, 16, 0, 0, 24, 0, 6, 0, 0, -10, -36, -42, 0, 0, -16, 48, 0, 12, 0, 0, 8, 34, 4, 0, -28, 44, 0, -12, 0, 0, 12, -58, 26, 0, 20, 6, 10, -16, 0, 0, 0, -12, 0, 0, -72, 8, 12, 0, 0, -52, 0, 0, -48, 0, 0, -50, -46, -26, 0, 0, -2, 0, 0, 0, 30, 36, -9, 10, 0, -18, -8, 96, -6, 0, -30, 0, 0, -36, 0, -44, -14, 12, 0, 0, 0, 0, 1, -36, 0, 0, -8, 34, 16, 0, -30, 66, 0, 72, 0, -14, -36, -48, 4, 0, -26, 12, 0, 78, 0, -112, 0, 16, -60, 0, 6, 16, -20, 0, 0, 66, 12, 4, 6, 0, 0, 0, 6, 46, 0, -36, -28, 0, 10, 0, 12, -30, 6, 60, 0, 0, -28, 6, 24, 0, 2, 0, -24, -80, 0, 60, 0, -10, 0, 0, -23, -60, -6, -40, 0, 0, -42, 0, 12, 0, -16, -10, 0, -78, 0, -32, 12, 8, 0, 0, 6, 46, -14, 0, 0, -78, 0, 16, 4, 0, 60, 48, -24, 0, 0, -12, 18, -6, -12, 0, 0, 24, 24, 48, 0, -26, 0, 0, -34, 0, 45, 0, -20, -26, 0, 0, 10, 36, -32, 0, -6, 0, -11, 68, 0, 32, -12, 120, 0, 0, -62, 1, -44, 0, 0, 0, -6, -24, 18, 0, 10, -44, 0, 2, 0, 48, 8, -4, -48, 0, 0, 24, 0, -47, 0, 0, 0, -42, 6, 0, 10, -28, -6, 0, 0, -82, 0, -16, 16, 0, 0, -72, -18, 24, 0, 0, 4, 0, 34, 0, 8, 6, 34, -68, 0, 12, -96, -60, 0, 0, -4, 0, 18, 12, 0, 68, 36, 8, 0, 0, 0, 100, 26, 12, 0, 0, 12, -40, -4, 0, 0, 60, 0, -34, 0, 34, 12, -30, -4, 0, -6, 0, -24, 24, 0, -2, 0, 6, -4, 0, -8, 56, 0, 0, 0, 48, 12, 34, 40, 0, 0, -30, 24, 88, 0, 24, -24, 0, 1, 0, -10, -26, -10, -6, 0, 8, 19, -30, 12, 0, -2, 0, -80, -18, 0, 0, 4, 0, 0, 0, -12, -48, -10, 36, 0, 0, 0, 6, 6, 0, -10, -48, 0, 0, 0, -62, 20, 0, 30, 0, 0, 28, 12, 6, 0, -24, 0, 20, 0, 0, -32, -18, 12, 0, 0, -4, 18, -96, -18, 0, 0, 24, 10, 0, 0, 40, -6, 0, -12, 0, 0, -2, 36, 20, 0, 54, 2, -64, 6, 0, 66, 0, -20, -58, 0, -42, 0, 66, 0, 0, 36, 0, 0, -24, 0, 0, 50, 6, -2, 0, -30, 72, 0, 0, 0, 84, 4, 64, -72, 0, 8, -6, 8, 72, 0, 18, 0, 24, -6, 0, 10, -30, 8, 0, 0, 0, -8, 16, 18, 0, 0, 82, 0, -20, 0, 6, 0, 0, 0, 0, -48, 0, -6, 32, 0, -32, -38, 0, -26, 0, -4, 0, -42, -24, 0, 0, -44, -18, 0, 0, -6, -52, 18, -32, 0, 0, 8, 46, 50, 0, -32, -66, 0, 40, 0, 36, 60, 24, 0, 0, 0, 34, -24, -96, 0, 0, 0, 10, 24, 0, 2, 0, -26, 0, 0, 60, 16, -56, 14, 0, 0, 0, 0, -4, 0, 4, -22, 0, 12, 0, -60, 0, 12, 0, 0, -70, -20, 7, -16, 0, 38, 0, 8, 18, 0, -24, -4, -36, 0, 0, -18, 48, 0, 88, 0, 0, 24, -48, 6, 0, -32, -4, 0, -90, 0, 4, 0, 0, 6, 0, 12, -14, -20, 26, 0, -36, 0, 0, 42, 0, -36, -48, -12, 0, 0, -6, -4, 48, 0, 0, 0, 40, -30, -36, 0, 36, 40, 0, 48, 0, -12, -40, 0, 24, 0, 60, 1, 38, 22, 0, 0, 0, -10, 0, 0, 19, 42, 48, 0, 0, -8, 0, -20, 30, 0, 0, 6, 8, 36, 0, 14, 38, 0, -10, 0, 66, 0, 40, 6, 0, -12, 120, -10, 0, 0, -14, 0, 18, 28, 0, 48, 30, 0, 0, 0, -128, -2, 30, 34, 0, 0, 16, -28, -44, 0, 0, -12, 0, 40, 0, 12, 18, 12, 40, 0, 24, 0, 0, 10, 0, 16, 0, 0, 132, 0, -40, 0, 0, 0, 0, 8, -22, 16, 0, 0, 0, 6, -20, 0, 0, -48, -48, 0, -46, 0, 0, -26, 54, 18, 0, -2, 24, -96, 72, 0, -100, 0, -36, -9, 0, 0, -52, -18, 0, 0, 12, -6, 22, 0, 0, 0, 0, 8, -20, 0, 28, -18, 0, 12, 0, 0, -6, 0, 6, 0, 44, -36, 12, -24, 0, -8, 0, 63, 0, 0, -66, -2, -8, 0, 0, 6, 24, -14, -14, 0, 0, 4, -102, -6, 0, 12, 32, 0, 24, 0, 0, -10, -4, 16, 0, 18, -32, 6, 24, 0, 120, 0, 0, 80, 0, 12, -6, 40, 0, 0, 8, -24, 0, 6, 0, 0, 30, -36, -102, 0, 4, 10, 0, 0, 0, -30, -62, -20, -24, 0, 66, -36, 68, 6, 0, 0, 0, 2, -17, 0, 38, -80, -60, 0, 0, 0, 14, 42, 84, 0, 0, -72, 18, -6, 0, -22, 0, 0, 0, 0, -48, 12, -82, 28, 0, -10, 102, 0, 0, 0, 36, 0, 60, 8, 0, 16, -20, 6, 0, 0, 44, 0, -18, -60, 0, 0, 22, -10, -30, 0, 18, 6, 0, -24, 0, -54, 0, -12, -64, 0, 0, -12, 54, 0, 0, 24, 0, 60, -60, 0, 16, 0, -15, 0, 0, 20, 32, 45, -12, 0, 0, -26, 0, -40, 0, 10, -6, 0, 16, 0, -8, 0, -24, -11, 0, 58, 48, 32, -66, 0, 72, 0, -36, 0, 0, 1, 26, -56, 0, 0, 0, -32, 80, -24, 0, 0, -96, 10, -36, 0, -6, 2, 0, -20, 0, 8, 0, -12, -84, 0, -36, -16, 14, 0, 0, 0, 0, 0, 24, 0, 24, 6, -34, 0, 0, -28, 6, -36, 0, 0, 0, -30, 12, -16, 0, 68, 0, 0, -54, 0, -56, 24, 8, 48, 0, 4, -28, -50, -28, 0, 0, 0, 176, 34, 0, 30, 48, 12, 0, 0, 26, 0, -60, 20, 0, 0, 10, 48, -48, 0, 22, -64, 0, 8, 0, 0, -40, 0, -72, 0, -96, 12, 0, 0, 0, 12, 0, 0, -28, 0, -48, 48, 24, 0, 0, -36, -46, 34, -60, 0, 0, -4, -2, 60, 0, 0, -22, 0, 30, 0, -18, -9, 144, 6, 0, 12, 0, -8, -22, 0, -6, 0, 48, -30, 0, 12, 0, 0, 0, 0, 86, 16, -14, 24, 0, 0, -20, 24, 0, 0, 120, 1, 0, 36, 0, -26, -60, -8, -92, 0, 16, 0, -84, -30, 0, 8, 0, -2, -6, 0, 0, -18, -36, 0, 0, 4, 160, -34, -26, 0, 0, 0, -72, -10, 0, -30, -24, 0, 38, 0, -60, 6, 0, 6, 0, -48, -20, 48, -12, 0, 46, 0, 12, 0, 0, 6, 72, 0, 0, 0, -24, 6, -52, -40, 0, 0, 66, -28, -40, 0, 10, 60, 0, 12, 0, -22, 6, -4, 0, 0, 0, -18, -28, -96, 0, 24, 0, 68, 2, 0, 84, -24, -4, 0, 0, 24, 48, 0, -74, 0, 0, 20, 0, -23, 0, 2, -6, 0, 0, 0, 10, 40, -42, -20, 0, 12, 28, -42, -16, 0, -48, 0, 32, -14, 0, 0, 0, 12, 0, 0, 0, 30, -12, 6, 0, 0, -14, -30, -42, 0, 72, 0, 0, 48, 0, 4, 70, -26, 60, 0, 30, -24, 0, 8, 0, 6, 0, 18, -34, 0, -12, -6, 60, 0, 0, -30, 24, 24, 48, 0, 0, -10, 0, 16, 0, -34, -72, 0, 45, 0, 36, -20, 50, -4, 0, 0, 18, 10, -52, 0, -32, 0, 24, -6, 0, 0, -11, -32, 0, 0, 56, -26, -12, 78, 0, 0, -36, 0, -62, 0, 12, -44, 0, -18, 0, 24, -48, -6, 0, 0, 18, -32, 60, 10, 0, 8, 0, 60, 0, 0, -58, -16, 8, 0, 0, -48, -4, 36, 0, 0, 0, 0, -2, -34, 0, 34, -48, 0, 32, 0, 6, 0, 12, 10, 0, 40, -6, 2, -54, 0, 16, 0, 0, 36, 0, 16, 0, -62, 0, 0, -60, -18, 64, 0, 0, 0, 60, 4, 108, 0, 34, 12, 0, 8, 0, 0, 34, 0, 24, 0, -46], "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": "210.2.a.b", "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], [1], [1], [1], [1], [0], [1], [0], [1], [1], [0], [0], [1], [2], [0], [0], [1], [-6], [1], [-8], [0], [0], [0], [0], [1], [0], [2], [1], [0], [6], [0], [4], [1], [0], [-6], [0], [1], [10], [-8], [2], [0], [6], [0], [4], [0], [0], [0], [0], [1], [0], [0], [-6], [2], [6], [1], [0], [0], [-8], [6], [12], [0], [10], [4], [0], [1], [0], [0], [4], [-6], [0], [0], [12], [1], [-10], [10], [0], [-8], [0], [2], [8], [0], [1], [6], [12], [0], [0], [4], [6], [0], [6], [0], [0], [0], [4], [0], [0], [1], [-10], [0], [0], [0]]}