# Stored data for newform 8550.2.a.cv, downloaded from the LMFDB on 24 April 2024.
{"label": "8550.2.a.cv", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 74, "hecke_orbit_code": 328762772831609190, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2304.1", "trace_hash": 191393969994372766, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [16, 0, -16, 0, 1]], [11, [16, 0, -16, 0, 1]], [13, [16, 0, -16, 0, 1]], [17, [4, 8, 1]], [23, [-8, 4, 1]], [53, [6, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta _{1}q^{7}+q^{8}+\\beta _{3}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34200, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 68.27209372819473, "hecke_ring_index": 8, "level_radical": 570, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 24, "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": "0.518", "prec": 17}, "analytic_rank_proved": true, "char_values": [8550, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 2, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 2304, "field_disc_factorization": [[2, 8], [3, 2]], "field_poly": [1, 0, -4, 0, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "83.028", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2467.541", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [19, 1]], "trace_display": [4, 0, 0, 0], "traces": [0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, -16, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, -24, 0, 4, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, -16, 0, 4, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -4, -16, 0, -16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -32, -8, 0, -24, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -24, -16, 0, 8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -12, -8, 0, -16, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, -4, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, -16, 0, -20, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, -32, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 4, -80, 0, 80, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, -24, 0, -16, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -24, -48, 0, 40, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 40, -12, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 16, -16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -48, -32, 0, -4, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, -56, 0, -64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 8, -88, 0, 72, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 4, 24, 0, -32, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -24, 16, 0, -32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 4, 0, -80, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -16, -48, 0, -56, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 8, -16, 0, -24, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 80, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, -24, 0, -48, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -64, -24, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, -12, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, -64, 0, 48, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -32, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 16, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 16, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 24, -56, 0, 16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 8, -48, 0, -32, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, -16, 0, -56, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 16, -40, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, -24, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -20, -8, 0, -16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 128, 8, 0, -88, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -16, 80, 0, 8, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 48, 4, 0, 24, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, -24, 0, 16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 80, 0, 88, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 128, -16, 0, 4, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 80, -24, 0, 144, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, -16, 0, -48, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -24, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 108, 8, 0, -16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 72, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 8, 0, 8, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -24, -48, 0, 48, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 96, -48, 0, -24, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 40, -48, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -4, -64, 0, -24, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 40, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -8, 88, 0, -16, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -64, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -24, 24, 0, 136, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -64, -8, 0, -32, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 120, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, -24, 0, 80, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -112, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, -104, 0, -72, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 144, 32, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, -32, 0, 8, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -128, 24, 0, -56, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, -72, 0, 144, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 24, 8, 0, -48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -4, 192, 0, 48, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 64, -16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 96, 0, 72, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 16, 32, 0, -16, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -64, 64, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 16, 0, -40, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 64, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 152, 40, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 128, 0, -48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 80, -20, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -48, 64, 0, -52, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 8, 128, 0, 8, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 72, 48, 0, -192, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -48, -16, 0, 80, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 128, 80, 0, 248, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 96, 48, 0, 4, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, -8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, -232, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, -32, 0, -24, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 96, 0, -208, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -96, 64, 0, 80, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -24, 32, 0, 72, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -80, 128, 0, -16, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -80, 24, 0, -32, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 48, 80, 0, -24, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -96, 104, 0, -24, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 152, 32, 0, -16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -56, -152, 0, 112, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -48, -80, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 80, 96, 0, -136, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -68, 108, 0, 8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, -32, 0, 176, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -176, -16, 0, 72, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -24, -96, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 80, 272, 0, -16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 32, -24, 0, -48, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, -72, 0, -216, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 88, 96, 0, -48, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 32, 0, 160, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -304, 40, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 120, 0, -76, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -72, -4, 0, -64, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 96, 8, 0, -80, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 104, 0, 192, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 96, 132, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -12, 176, 0, -144, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -240, -8, 0, 88, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -112, 288, 0, -208, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 48, 152, 0, 32, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -208, -24, 0, 24, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, -48, 32, 0, 104, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -80, 40, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -8, -48, 0, -256, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 88, 0, 8, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -16, -64, 0, -8, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -28, 288, 0, -144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 128, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 144, 24, 0, 160, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 104, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -96, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -192, -16, 0, -24, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -120, 96, 0, 4, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -40, -16, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 48, 72, 0, -16, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 48, -48, 0, -104, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -48, 264, 0, 104, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -184, 144, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 12, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -48, 44, 0, -32, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 168, -176, 0, 112, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 200, -128, 0, 24, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 16, 80, 0, 16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 32, 0, -72, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 24, 64, 0, 56, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -28, 24, 0, 8, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -32, -48, 0, -144, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -64, -4, 0, 192, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 56, -96, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 64, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, -96, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 144, 32, 0, 96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 176, -112, 0, -80, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 136, 16, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -56, 48, 0, -352, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 128, -64, 0, 64, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -16, -128, 0, 16, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 112, -24, 0, 48, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -80, -192, 0, -112, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 192, 0, -208, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, -16, 0, 128, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 64, -48, 0, -232, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 192, 80, 0, -20, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 112, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -336, -48, 0, 64, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, -176, -96, 0, 24, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -256, 8, 0, 128, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -88, -24, 0, 144, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -144, 72, 0, 48, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 16, -64, 0, -68, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 320, -48, 0, -16, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 8, -176, 0, -32, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -32, 128, 0, 80, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 232, 48, 0, 32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -192, 96, 0, 48, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 24, -240, 0, 80, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -192, -32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, -56, 0, -112, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 256, -64, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -8, 0, -160, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, -136, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -32, 48, 0, -8, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -8, 16, 0, -32, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 16, 128, 0, -192, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -112, -32, 0, 96, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 176, 48, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -96, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 88, 96, 0, 16, 0, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, -240, -24, 0, 32, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -120, 64, 0, 72, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 88, -80, 0, 128, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 4, -248, 0, 96, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -16, -80, 0, 24, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -24, -144, 0, -168, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -168, 48, 0, 80, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 144, -96, 0, -192, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 20, -96, 0, 104, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -112, -176, 0, -136, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 224, 152, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -48, 120, 0, -240, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 128, -56, 0, -152, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 96, -8, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, -48, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -128, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 80, 80, 0, 96, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, -64, -80, 0, 272, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -24, -68, 0, 108, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, -128, 0, -224, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, -16, -24, 0, -32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 48, 120, 0, -80, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 48, -176, 0, -16, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 64, -176, 0, -24, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 88, 0, 72, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 180, -24, 0, -96, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, -272, 0, 336, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -176, 80, 0, 272, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 48, -288, 0, -8, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 264, 32, 0, -24, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 176, 0, -48, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -96, 24, 0, -72, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 96, -128, 0, -240, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 144], "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, 15, 4, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "1710.2.d.g", "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, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, -1, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [-4, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [-2, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, -2, 0, -3], [0, 0, 0, 0], [-4, 0, -2, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -2], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -2], [0, 0, 0, 0], [0, -2, 0, -1], [0, 0, 0, 1], [0, 0, 0, 0], [-2, 0, -1, 0], [-6, 0, 1, 0], [0, 0, 0, 0], [1, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, -2, 0, -3], [0, -1, 0, 3], [0, 0, 0, 0], [-2, 0, 0, 0], [-4, 0, -2, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, 2], [-4, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, -2, 0, -4], [0, -1, 0, -2], [0, 0, 0, 0], [-1, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -2], [-6, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, -1], [0, 0, 0, 0], [0, 0, 0, 1], [0, 1, 0, 0], [0, 0, 0, 0], [-8, 0, -2, 0], [-2, 0, -1, 0], [0, 0, 0, 0], [-6, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 5], [1, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0]]}