# Stored data for newform 2450.2.a.bm, downloaded from the LMFDB on 19 April 2024.
{"label": "2450.2.a.bm", "space_label": "2450.2.a", "level": 2450, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873635730, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 2148478674320638521, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-7, 0, 1]], [11, [-5, 1]], [13, [-28, 0, 1]], [17, [-7, 0, 1]], [19, [-63, 0, 1]], [23, [-4, 1]], [37, [-4, 1]]], "qexp_display": "q-q^{2}+\\beta q^{3}+q^{4}-\\beta q^{6}-q^{8}+4q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9800, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 19.563348495213695, "hecke_ring_index": 1, "level_radical": 70, "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": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [2450, 1, [1177, 101], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.071", "prec": 17}, {"__RealLiteral__": 0, "data": "15.341", "prec": 20}, {"__RealLiteral__": 0, "data": "0.274", "prec": 17}, {"__RealLiteral__": 0, "data": "150.989", "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], [5, 1], [7, -1]], "trace_display": [-2, 0, 0, 0], "traces": [0, 2, -2, 0, 2, 0, 0, 0, -2, 8, 0, 10, 0, 0, 0, 0, 2, 0, -8, 0, 0, 0, -10, 8, 0, 0, 0, 0, 0, 12, 0, 0, -2, 0, 0, 0, 8, 8, 0, -28, 0, 0, 0, 16, 10, 0, -8, 0, 0, 0, 0, 14, 0, -8, 0, 0, 0, -42, -12, 0, 0, 0, 0, 0, 2, 0, 0, -10, 0, 0, 0, 12, -8, 0, -8, 0, 0, 0, 28, 20, 0, -10, 0, 0, 0, 0, -16, 0, -10, 0, 0, 0, 8, 56, 0, 0, 0, 0, 0, 40, 0, 0, -14, 0, 0, 0, 8, -30, 0, -4, 0, 0, 0, -26, 42, 0, 12, 0, 0, 0, 0, 28, 0, 14, 0, 0, 0, -12, -2, 0, 0, 0, 0, 0, 10, 0, 0, 34, 0, 0, 0, 28, -12, 0, 8, 0, 0, 0, 8, -8, 0, 24, 0, 0, 0, 0, -28, 0, -20, 0, 0, 0, 10, 26, 0, 0, 0, 0, 0, 30, 0, 0, 16, 0, 0, 0, 10, -28, 0, -34, 0, 0, 0, 28, -8, 0, -56, 0, 0, 0, 0, -12, 0, 18, 0, 0, 0, -12, -40, 0, 0, 0, 0, 0, 14, 0, 0, 32, 0, 0, 0, -38, -8, 0, 30, 0, 0, 0, 4, -14, 0, -28, 0, 0, 0, 0, 26, 0, -42, 0, 0, 0, -12, -20, 0, 0, 0, 0, 0, 32, 0, 0, -28, 0, 0, 0, -14, 84, 0, -14, 0, 0, 0, 40, 12, 0, 2, 0, 0, 0, 0, 48, 0, 60, 0, 0, 0, 70, -10, 0, 0, 0, 0, 0, -34, 0, 0, 20, 0, 0, 0, -44, -28, 0, 12, 0, 0, 0, -8, -20, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, -24, 56, 0, 0, 0, 0, 0, -56, 0, 0, 28, 0, 0, 0, 20, -48, 0, 60, 0, 0, 0, -42, -10, 0, -26, 0, 0, 0, 0, 34, 0, 32, 0, 0, 0, 10, -30, 0, 0, 0, 0, 0, -16, 0, 0, -10, 0, 0, 0, -28, -10, 0, 28, 0, 0, 0, 34, 20, 0, 88, 0, 0, 0, 0, -28, 0, 8, 0, 0, 0, 56, -48, 0, 0, 0, 0, 0, -2, 0, 0, 12, 0, 0, 0, -18, 64, 0, 24, 0, 0, 0, -84, 12, 0, 40, 0, 0, 0, 0, -22, 0, -112, 0, 0, 0, 40, -14, 0, 0, 0, 0, 0, -32, 0, 0, -14, 0, 0, 0, 40, 38, 0, 8, 0, 0, 0, -30, -140, 0, -48, 0, 0, 0, 0, -4, 0, 14, 0, 0, 0, 28, -2, 0, 0, 0, 0, 0, -30, 0, 0, -26, 0, 0, 0, 42, -6, 0, 14, 0, 0, 0, -32, 12, 0, 20, 0, 0, 0, 0, -112, 0, 80, 0, 0, 0, -32, -32, 0, 0, 0, 0, 0, 28, 0, 0, 4, 0, 0, 0, -72, 14, 0, -84, 0, 0, 0, 14, -40, 0, 0, 0, 0, 0, 0, -40, 0, -12, 0, 0, 0, -2, -42, 0, 0, 0, 0, 0, -84, 0, 0, -48, 0, 0, 0, -60, 56, 0, -14, 0, 0, 0, -28, -70, 0, 10, 0, 0, 0, 0, 76, 0, 28, 0, 0, 0, -26, 34, 0, 0, 0, 0, 0, -20, 0, 0, -24, 0, 0, 0, 70, 44, 0, 28, 0, 0, 0, -12, -22, 0, 24, 0, 0, 0, 0, 8, 0, 20, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -168, 0, 0, 8, 0, 0, 0, -8, -28, 0, -32, 0, 0, 0, -40, 24, 0, -56, 0, 0, 0, 0, -56, 0, 4, 0, 0, 0, -12, 56, 0, 0, 0, 0, 0, -28, 0, 0, -210, 0, 0, 0, -16, -20, 0, 48, 0, 0, 0, -60, 48, 0, -60, 0, 0, 0, 0, 42, 0, 10, 0, 0, 0, 26, -16, 0, 0, 0, 0, 0, 46, 0, 0, -34, 0, 0, 0, -32, 48, 0, 28, 0, 0, 0, 52, -10, 0, 30, 0, 0, 0, 0, -84, 0, 18, 0, 0, 0, 140, 16, 0, 0, 0, 0, 0, 10, 0, 0, 14, 0, 0, 0, 32, 28, 0, 10, 0, 0, 0, -28, 72, 0, 80, 0, 0, 0, 0, -34, 0, -20, 0, 0, 0, -88, 14, 0, 0, 0, 0, 0, -82, 0, 0, 28, 0, 0, 0, -8, -50, 0, 24, 0, 0, 0, 24, -56, 0, 48, 0, 0, 0, 0, 44, 0, -70, 0, 0, 0, -68, 2, 0, 0, 0, 0, 0, -12, 0, 0, 56, 0, 0, 0, 0, 18, 0, -64, 0, 0, 0, -24, -42, 0, 60, 0, 0, 0, 0, 84, 0, -12, 0, 0, 0, -40, -56, 0, 0, 0, 0, 0, 28, 0, 0, 22, 0, 0, 0, 112, 28, 0, 52, 0, 0, 0, -28, -40, 0, 14, 0, 0, 0, 0, -96, 0, -52, 0, 0, 0, 86, 32, 0, 0, 0, 0, 0, 14, 0, 0, 56, 0, 0, 0, 14, -40, 0, -38, 0, 0, 0, -8, -14, 0, 32, 0, 0, 0, 0, 30, 0, 140, 0, 0, 0, 48, -48, 0, 0, 0, 0, 0, 100, 0, 0, 4, 0, 0, 0, -14, 96, 0, -84, 0, 0, 0, 58, -28, 0, 2, 0, 0, 0, 0, -50, 0, -84, 0, 0, 0, -112, 30, 0, 0, 0, 0, 0, 26, 0, 0, -8, 0, 0, 0, -16, -42, 0, 6, 0, 0, 0, -14, 76, 0, -182, 0, 0, 0, 0, 32, 0, -12, 0, 0, 0, -20, -28, 0, 0, 0, 0, 0, 112, 0, 0, 112, 0, 0, 0, -80, -72, 0, 28, 0, 0, 0, -82, 32, 0, 32, 0, 0, 0, 0, 162, 0, -120, 0, 0, 0, -4, -28, 0, 0, 0, 0, 0, -4, 0, 0, 18, 0, 0, 0, -16, 72, 0, -14, 0, 0, 0, 84, 64, 0, 24, 0, 0, 0, 0, -14, 0, 40, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -58, 0, 0, 40, 0, 0, 0, 12, -104, 0, 66, 0, 0, 0, 280, 2, 0, 42, 0, 0, 0, 0, -36, 0, 6, 0, 0, 0, 28, 84, 0, 0, 0, 0, 0, 48, 0, 0, -112, 0, 0, 0, -86, 60, 0, -56, 0, 0, 0, 14, 168, 0, -104, 0, 0, 0, 0, 28, 0, 70, 0, 0, 0, -10, 48, 0, 0, 0, 0, 0, 28, 0, 0, -76, 0, 0, 0, -28, -104, 0, 112, 0, 0, 0, -68, 26, 0, -34, 0, 0, 0, 0, 56, 0, 116, 0, 0, 0, 14, 20, 0, 0, 0, 0, 0, 24, 0, 0, 116, 0, 0, 0, 84, -70, 0, -44, 0, 0, 0, -28, 6, 0, -168, 0, 0, 0, 0, 12, 0, 22, 0, 0, 0, -24, -48, 0, 0, 0, 0, 0, 140, 0, 0, -8, 0, 0, 0, -20, -140, 0, -84, 0, 0, 0, 30, 0, 0, 40, 0, 0, 0, 0, 90, 0, 56, 0, 0, 0, -150, 168, 0, 0, 0, 0, 0, -8, 0, 0, 130, 0, 0, 0, 140, 8, 0, 28, 0, 0, 0, 32, -20, 0, 38, 0, 0, 0, 0, 40, 0, -24, 0, 0, 0, 56, -20, 0, 0, 0, 0, 0, -32, 0, 0, 56, 0, 0, 0, -4, 14, 0, 36, 0, 0, 0, 136, 12, 0, -56, 0, 0, 0, 0, -14, 0, -130, 0, 0, 0, 96, 28, 0, 0, 0, 0, 0, 210, 0, 0, 42, 0, 0, 0, 0, 16, 0, 20, 0, 0, 0, -48, 28, 0, 56, 0, 0, 0, 0, 60, 0, -48, 0, 0, 0, 60, 96, 0, 0, 0, 0, 0, 68, 0, 0, -42, 0, 0, 0, -10, -20, 0, -70, 0, 0, 0, 16, -26, 0, 16, 0, 0, 0, 0, -168, 0, -112, 0, 0, 0, -112, -46, 0, 0, 0, 0, 0, 34, 0, 0, 32, 0, 0, 0, 30, 32, 0, -48, 0, 0, 0, -28, 112, 0, -32, 0, 0, 0, 0, -52, 0, 10, 0, 0, 0, -30, 70, 0, 0, 0, 0, 0, 96, 0, 0, 84, 0, 0, 0, -18, -48, 0, -42, 0, 0, 0, 128, -140, 0, -16, 0, 0, 0, 0, -120, 0, 84, 0, 0, 0, 42, -10, 0, 0, 0, 0, 0, -14, 0, 0, -60, 0, 0, 0, 140, -32, 0, -28, 0, 0, 0, -10, -78, 0, -14, 0, 0, 0, 0, 28, 0, -72, 0, 0, 0, -80, -104, 0, 0, 0, 0, 0, 32, 0, 0, 34, 0, 0, 0, 20, -196, 0, -60, 0, 0, 0, -112, 88, 0, -14, 0, 0, 0, 0, 6, 0, -108, 0, 0, 0, 112, 82, 0, 0, 0, 0, 0, -28, 0, 0, 104, 0, 0, 0, 4, 8, 0, 50, 0, 0, 0, -24, 84, 0, -74, 0, 0, 0, 0, -24, 0, 56, 0, 0, 0, -48, -132, 0, 0, 0, 0, 0, 138, 0, 0, -44, 0, 0, 0, 70, 170, 0, -84, 0, 0, 0, 70, 68, 0, -2, 0, 0, 0, 0, 120, 0, 102, 0, 0, 0, -84, 12, 0, 0, 0, 0, 0, -56, 0, 0, -48, 0, 0, 0, -40, 0, 0, -18, 0, 0, 0, 64, 76, 0, 140, 0, 0, 0, 0, 24, 0, 42, 0, 0, 0, -60, 126, 0, 0, 0, 0, 0, -70, 0, 0, -84, 0, 0, 0, 12, 42, 0, 134, 0, 0, 0, 108, 40, 0, 56, 0, 0, 0, 0, 64, 0, -28, 0, 0, 0, -60, -28, 0, 0, 0, 0, 0, -22, 0, 0, -92, 0, 0, 0, -136, -112, 0, -28, 0, 0, 0, -52, 2, 0, 24, 0, 0, 0, 0, 28, 0, 40, 0, 0, 0, -14, 48, 0, 0, 0, 0, 0, -40, 0, 0, 96, 0, 0, 0, 52, 28, 0, 0, 0, 0, 0, -252, -86, 0, -32, 0, 0, 0, 0, 120, 0, -36, 0, 0, 0, -110, -14, 0, 0, 0, 0, 0, -56, 0, 0, -224, 0, 0, 0, -68, -14, 0, 40, 0, 0, 0, 38, 84, 0, -210, 0, 0, 0, 0, 8, 0, 14, 0, 0, 0, -32, 168, 0, 0, 0, 0, 0, -100, 0, 0, -30, 0, 0, 0, -140, 56, 0, -48, 0, 0, 0, -54, -48, 0, 48, 0, 0, 0, 0, -182, 0, 144, 0, 0, 0, 72, -100, 0, 0, 0, 0, 0, -4, 0, 0, -134, 0, 0, 0, -56, 14, 0, -96, 0, 0, 0, 84, 76, 0, 182, 0, 0, 0, 0, -58, 0, 28, 0, 0, 0, -2, -48, 0, 0, 0, 0, 0, -14, 0, 0, 50, 0, 0, 0, 84, 134, 0, -76, 0, 0, 0, 130, 112, 0, -30, 0, 0, 0, 0, 20, 0, -238, 0, 0, 0, 28, -26, 0, 0, 0, 0, 0, 8, 0, 0, 80, 0, 0, 0, 56, 16, 0, 42, 0, 0, 0, -6, -112, 0, 120, 0, 0, 0, 0, 14, 0, -76, 0, 0, 0, 182, 0, 0, 0, 0, 0, 0, 42, 0, 0, -32, 0, 0, 0, 12, 84, 0, 150, 0, 0, 0, -40, 20, 0, 28, 0, 0, 0, 0, 104, 0, 4, 0, 0, 0, -68, -112, 0, 0, 0, 0, 0, -112, 0, 0, 56, 0, 0, 0, 112, 80, 0, 72, 0, 0, 0, -28, -152, 0, -4, 0, 0, 0, 0, 82, 0, -32, 0, 0, 0, -32, -62, 0, 0, 0, 0, 0, -168, 0, 0, -162, 0, 0, 0, 120, 28, 0, -84, 0, 0, 0, -68, 4, 0, 28, 0, 0, 0, 0, -56, 0, -60, 0, 0, 0, -140, 4, 0, 0, 0, 0, 0, -18, 0, 0, 168, 0, 0, 0, -32, 16, 0, -72, 0, 0, 0, 14, -170, 0, -14, 0, 0, 0, 0, -84, 0, -64, 0, 0, 0, -24, -196, 0, 0, 0, 0, 0, -112, 0, 0, 14, 0, 0, 0, -40, -100, 0, -116, 0, 0, 0, -138, 0, 0, 28, 0, 0, 0, 0, -50, 0, 140, 0, 0, 0, 122, 58, 0, 0, 0, 0, 0, -40, 0, 0, -24, 0, 0, 0, 56, -12, 0, 104, 0, 0, 0, -66, -120, 0, 224, 0, 0, 0, 0, -280, 0, -2, 0, 0, 0, -42, 68, 0, 0, 0, 0, 0, 72, 0, 0, 36, 0, 0, 0, -6, 112, 0, 8, 0, 0, 0, -98, -28, 0, -84, 0, 0, 0, 0, -50, 0, 48, 0, 0, 0, 156, -48, 0, 0, 0, 0, 0, 112, 0, 0, -80, 0, 0, 0, -60, 86, 0, -60, 0, 0, 0, 56, -168, 0, -20, 0, 0, 0, 0, -14, 0, -168, 0, 0, 0, 104, 90, 0, 0, 0, 0, 0, -142, 0, 0, -28, 0, 0, 0, -70, 26, 0, 224, 0, 0, 0, -40, 10, 0, -48, 0, 0, 0, 0, 128, 0, 4, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 76, 0, 0, -60, 0, 0, 0, 0, 28, 0, 104, 0, 0, 0, -112, -50, 0, 140, 0, 0, 0, 0, 68, 0, -26, 0, 0, 0, 34, 112, 0, 0, 0, 0, 0, -168, 0, 0, -56, 0, 0, 0, -116, -104, 0, -38, 0, 0, 0, 16, -14, 0, -20, 0, 0, 0, 0, -68, 0, 336, 0, 0, 0, -84, -24, 0, 0, 0, 0, 0, -116, 0, 0, 116, 0, 0, 0, -14, -84, 0, 70, 0, 0, 0, 44, 168, 0, 22, 0, 0, 0, 0, 28, 0, -6, 0, 0, 0, 168, -56, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, 0, 0, -22, 160, 0, -64, 0, 0, 0, -210, 24, 0, 48, 0, 0, 0, 0, 120, 0, 160, 0, 0, 0, 30, -140, 0, 0, 0, 0, 0, 8, 0, 0, -70, 0, 0, 0, -72, 20, 0, 140, 0, 0, 0, 84, -168, 0, -190, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -40, -76, 0, 0, 0, 0, 0, -72, 0, 0, -90, 0, 0, 0, -56, 50, 0, -60, 0, 0, 0, -56, 150, 0, -168, 0, 0, 0, 0, -84, 0, -14, 0, 0, 0, 240, 8, 0, 0, 0, 0, 0, -130, 0, 0, -164, 0, 0, 0, 60, -140, 0, -8, 0, 0, 0, -28, 104, 0, -28, 0, 0, 0, 0, -32, 0, 20, 0, 0, 0, -38, 70, 0, 0, 0, 0, 0, -70, 0, 0, -40, 0, 0, 0, 24, 12, 0, -28, 0, 0, 0, 52, -56, 0, 20, 0, 0, 0, 0, -140, 0, 196, 0, 0, 0, 72, 32, 0, 0, 0, 0, 0, -56, 0, 0, 132, 0, 0, 0, -336, 4, 0, -14, 0, 0, 0, -36, -176, 0, -120, 0, 0, 0, 0, -136, 0, -12, 0, 0, 0, 56, -142, 0, 0, 0, 0, 0, -40, 0, 0, 14, 0, 0, 0, 130, -224, 0, 252, 0, 0, 0, 80, -96, 0, -28, 0, 0, 0, 0, 28, 0, 88, 0, 0, 0, -16, -210, 0, 0, 0, 0, 0, -42, 0, 0, 84, 0, 0, 0, -58, 0, 0, -16, 0, 0, 0, -20, -176, 0, 24, 0, 0, 0, 0, 48, 0, -28, 0, 0, 0, -56, 148, 0, 0, 0, 0, 0, 60, 0, 0, -60, 0, 0, 0, 48, 120, 0, -28, 0, 0, 0, -100, -60, 0, -96, 0, 0, 0, 0, 210, 0, -56, 0, 0, 0, -14, -68, 0, 0, 0, 0, 0, 42, 0, 0, 56, 0, 0, 0, -44, 10, 0, 20, 0, 0, 0, 70, -104, 0, -80, 0, 0, 0, 0, -16, 0, 26, 0, 0, 0, -16, 140, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 112, 48, 0, 160, 0, 0, 0, 58, 112, 0, 46, 0, 0, 0, 0, 42, 0, -224, 0, 0, 0, -40, -34, 0, 0, 0, 0, 0, -32, 0, 0, 74, 0, 0, 0, -140, -30, 0, -32, 0, 0, 0, 48, -112, 0, 136, 0, 0, 0, 0, 28, 0, -112, 0, 0, 0, 32, 8, 0, 0, 0, 0, 0, 110, 0, 0, 52, 0, 0, 0, -10, 336, 0, -158, 0, 0, 0, -56, 30, 0, -70, 0, 0, 0, 0, -36, 0, 18, 0, 0, 0, 420, -96, 0, 0, 0, 0, 0, -84, 0, 0, 56, 0, 0, 0, 46, 18, 0, 48, 0, 0, 0, 42, -70, 0, 136, 0, 0, 0, 0, -128, 0, 140, 0, 0, 0, 16, 78, 0, 0, 0, 0, 0, 280, 0, 0, 120, 0, 0, 0, -84, -76, 0, -168, 0, 0, 0, -56, -42, 0, 10, 0, 0, 0, 0, -56, 0, 112, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 60, 0, 0, -192, 0, 0, 0, 4, -140, 0, 32, 0, 0, 0, 28, -74, 0, -42, 0, 0, 0, 0, 10, 0, 78, 0, 0, 0, 14, -224, 0, 0, 0, 0, 0, 56, 0, 0, -28, 0, 0, 0, 72, 176, 0, 0, 0, 0, 0, -102, 80, 0, 104, 0, 0, 0, 0, -64, 0, -192, 0, 0, 0, -82, -32, 0, 0, 0, 0, 0, -34, 0, 0, 56, 0, 0, 0, 240, -20, 0, 196, 0, 0, 0, 60, -68, 0, -80, 0, 0, 0, 0, 112, 0, -88, 0, 0, 0, 14, 300, 0, 0, 0, 0, 0, -56, 0, 0, -6, 0, 0, 0, 108, -168, 0, 120, 0, 0, 0, -154, -112, 0, -82, 0, 0, 0, 0, -48, 0, 80, 0, 0, 0, -88, 28, 0, 0, 0, 0, 0, -104, 0, 0, 350, 0, 0, 0, -84, -4, 0, -8, 0, 0, 0, -50, 224, 0, 168, 0, 0, 0, 0, 24, 0, -84, 0, 0, 0, 74, 8, 0, 0, 0, 0, 0, -38, 0, 0, 24, 0, 0, 0, -56, -280, 0, 136, 0, 0, 0, 336, 48, 0, 132, 0, 0, 0, 0, 252, 0, -14, 0, 0, 0, -40, -138, 0, 0], "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": "2450.2.a.bm", "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, 1], [1, 0], [0, 0], [0, -1], [0, 0], [-1, 0], [4, 0], [0, 0], [5, 0], [0, 1], [0, -2], [0, 0], [0, 0], [1, 0], [0, 1], [-4, 0], [0, -3], [0, 0], [0, 0], [-5, 0], [4, 0], [0, -1], [0, 0], [0, 2], [0, 1], [0, 0], [6, 0], [0, 0], [0, 4], [-1, 0], [0, 5], [0, -1], [0, 0], [4, 0], [4, 0], [0, 3], [-14, 0], [0, 0], [0, 1], [0, 0], [8, 0], [5, 0], [0, 0], [-4, 0], [0, 2], [0, 1], [0, 0], [0, 0], [7, 0], [0, -2], [-4, 0], [0, -1], [0, 0], [0, 0], [-21, 0], [-6, 0], [0, -2], [0, 0], [0, 2], [0, -4], [0, 0], [1, 0], [0, 0], [0, -5], [-5, 0], [0, 1], [0, 4], [0, 0], [6, 0], [-4, 0], [0, -1], [-4, 0], [0, 0], [0, -3], [0, 0], [14, 0], [10, 0], [0, 0], [-5, 0], [0, -1], [0, -1], [0, 0], [0, 0], [-8, 0], [0, 6], [-5, 0], [0, 5], [0, 0], [0, 0], [4, 0], [28, 0], [0, -2], [0, 0], [0, -1], [0, 0], [0, 0], [20, 0], [0, 0]]}