# Stored data for newform 5200.2.a.cg, downloaded from the LMFDB on 22 December 2024.
{"Nk2": 20800, "analytic_conductor": 41.5222090510658, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [13, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [5200, 1, [1951, 1301, 4577, 1601], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-2, -4, 0, 1]], [7, [4, 0, -4, 1]], [11, [2, -30, 0, 1]]], "hecke_orbit": 59, "hecke_orbit_code": 261208778421048400, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "5200.2.a.cg", "level": 5200, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 13], "level_radical": 130, "minimal_twist": "260.2.c.a", "nf_label": "3.3.148.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{2}q^{3}+(1+\\beta _{1}+\\beta _{2})q^{7}+(-\\beta _{1}+\\cdots)q^{9}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5200.2.a", "trace_display": [0, 0, 0, 4], "trace_hash": 2096735543177107287, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.798", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.253", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "210.880", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, "traces": [0, 3, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, -3, 0, 0, 0, -10, 0, -2, 0, -6, 0, 6, 0, 0, 0, 6, 0, -2, 0, 0, 0, -6, 0, 0, 0, -16, 0, 0, 0, 8, 0, -6, 0, 0, 0, 20, 0, -5, 0, 4, 0, -24, 0, 0, 0, -14, 0, -2, 0, -14, 0, -12, 0, 0, 0, 0, 0, 8, 0, -10, 0, -12, 0, 0, 0, -14, 0, -4, 0, -13, 0, -4, 0, 0, 0, 10, 0, 10, 0, -4, 0, -10, 0, 0, 0, -10, 0, 14, 0, -2, 0, -4, 0, 0, 0, -6, 0, 0, 0, -26, 0, -18, 0, 0, 0, 1, 0, -4, 0, 27, 0, -8, 0, 0, 0, 0, 0, -12, 0, 4, 0, 14, 0, 0, 0, -18, 0, 8, 0, 6, 0, 0, 0, 0, 0, -8, 0, 0, 0, 46, 0, -6, 0, 0, 0, 2, 0, 16, 0, 2, 0, -32, 0, 0, 0, -24, 0, 3, 0, -16, 0, -48, 0, 0, 0, 34, 0, -20, 0, -18, 0, -34, 0, 0, 0, -40, 0, 20, 0, 32, 0, -6, 0, 0, 0, -10, 0, -8, 0, 14, 0, -4, 0, 0, 0, 4, 0, -8, 0, 36, 0, 30, 0, 0, 0, 26, 0, 18, 0, 10, 0, -28, 0, 0, 0, -44, 0, -14, 0, 0, 0, -32, 0, 0, 0, 8, 0, 4, 0, 48, 0, -32, 0, 0, 0, 2, 0, 26, 0, -48, 0, -6, 0, 0, 0, -16, 0, -8, 0, 2, 0, 8, 0, 0, 0, -56, 0, -34, 0, -14, 0, 6, 0, 0, 0, 60, 0, -26, 0, -56, 0, -54, 0, 0, 0, -8, 0, 9, 0, 0, 0, -12, 0, 0, 0, 12, 0, -6, 0, 38, 0, -8, 0, 0, 0, -20, 0, -32, 0, 24, 0, 10, 0, 0, 0, -4, 0, -26, 0, -68, 0, 12, 0, 0, 0, -12, 0, 16, 0, -52, 0, -8, 0, 0, 0, 22, 0, -12, 0, -48, 0, -4, 0, 0, 0, -4, 0, 10, 0, -6, 0, -24, 0, 0, 0, 20, 0, 38, 0, -25, 0, -66, 0, 0, 0, -8, 0, 16, 0, -44, 0, -6, 0, 0, 0, 2, 0, 8, 0, 56, 0, 28, 0, 0, 0, -44, 0, -26, 0, -16, 0, 12, 0, 0, 0, -32, 0, 4, 0, 14, 0, 0, 0, 0, 0, 38, 0, -8, 0, 68, 0, -22, 0, 0, 0, 8, 0, 60, 0, 8, 0, 4, 0, 0, 0, -24, 0, 6, 0, -44, 0, 56, 0, 0, 0, -18, 0, -8, 0, -29, 0, 8, 0, 0, 0, 48, 0, -4, 0, 80, 0, 2, 0, 0, 0, 2, 0, -28, 0, 38, 0, -52, 0, 0, 0, -48, 0, 8, 0, 56, 0, -102, 0, 0, 0, 20, 0, -18, 0, 16, 0, -12, 0, 0, 0, 72, 0, -18, 0, 0, 0, 24, 0, 0, 0, -42, 0, 18, 0, 62, 0, 38, 0, 0, 0, 0, 0, 50, 0, -48, 0, 24, 0, 0, 0, 14, 0, -16, 0, 10, 0, 36, 0, 0, 0, 32, 0, -49, 0, 20, 0, -8, 0, 0, 0, -44, 0, -68, 0, -90, 0, 66, 0, 0, 0, -10, 0, 10, 0, -10, 0, -36, 0, 0, 0, -88, 0, 6, 0, 64, 0, -34, 0, 0, 0, 24, 0, -2, 0, 0, 0, -8, 0, 0, 0, 12, 0, -36, 0, -68, 0, -12, 0, 0, 0, -20, 0, 36, 0, -48, 0, -2, 0, 0, 0, -68, 0, 28, 0, -30, 0, -8, 0, 0, 0, 66, 0, 4, 0, -20, 0, 26, 0, 0, 0, -26, 0, 42, 0, -4, 0, 80, 0, 0, 0, -2, 0, 28, 0, -72, 0, 44, 0, 0, 0, 5, 0, 32, 0, 46, 0, -8, 0, 0, 0, 88, 0, -44, 0, 0, 0, -86, 0, 0, 0, 36, 0, 20, 0, 16, 0, -4, 0, 0, 0, 6, 0, -54, 0, 118, 0, 26, 0, 0, 0, 4, 0, 36, 0, -6, 0, 32, 0, 0, 0, 52, 0, 24, 0, -24, 0, 54, 0, 0, 0, -80, 0, 4, 0, -58, 0, 50, 0, 0, 0, 28, 0, 62, 0, 32, 0, -10, 0, 0, 0, 26, 0, -20, 0, -6, 0, 28, 0, 0, 0, -10, 0, 11, 0, 88, 0, 2, 0, 0, 0, -66, 0, 36, 0, 14, 0, 40, 0, 0, 0, 64, 0, 6, 0, -20, 0, -4, 0, 0, 0, 4, 0, 2, 0, 70, 0, -28, 0, 0, 0, 2, 0, 50, 0, -76, 0, -36, 0, 0, 0, 32, 0, -16, 0, -4, 0, -24, 0, 0, 0, 4, 0, -24, 0, -52, 0, 14, 0, 0, 0, -42, 0, -76, 0, -70, 0, 42, 0, 0, 0, 72, 0, -18, 0, 20, 0, 62, 0, 0, 0, 62, 0, 12, 0, 52, 0, 92, 0, 0, 0, -68, 0, -46, 0, 44, 0, 62, 0, 0, 0, 20, 0, 32, 0, -67, 0, 12, 0, 0, 0, 104, 0, 20, 0, -58, 0, 32, 0, 0, 0, -12, 0, -16, 0, -16, 0, -8, 0, 0, 0, -56, 0, 68, 0, 0, 0, -46, 0, 0, 0, 62, 0, 82, 0, -10, 0, 26, 0, 0, 0, 52, 0, -42, 0, -82, 0, -30, 0, 0, 0, -8, 0, 6, 0, 88, 0, 12, 0, 0, 0, -8, 0, -30, 0, 4, 0, 110, 0, 0, 0, -16, 0, 16, 0, 14, 0, 10, 0, 0, 0, 2, 0, -56, 0, 42, 0, 64, 0, 0, 0, -40, 0, 24, 0, 30, 0, 8, 0, 0, 0, -52, 0, 12, 0, 2, 0, -40, 0, 0, 0, 40, 0, -112, 0, -25, 0, -12, 0, 0, 0, -16, 0, 48, 0, 84, 0, -20, 0, 0, 0, 20, 0, -32, 0, 28, 0, 36, 0, 0, 0, -40, 0, -24, 0, 64, 0, 62, 0, 0, 0, 48, 0, 20, 0, 14, 0, 36, 0, 0, 0, -12, 0, -14, 0, 32, 0, 36, 0, 0, 0, 34, 0, -44, 0, 42, 0, 38, 0, 0, 0, 4, 0, 52, 0, -52, 0, 40, 0, 0, 0, -32, 0, 4, 0, 4, 0, -36, 0, 0, 0, 36, 0, -6, 0, 58, 0, 13, 0, 0, 0, 66, 0, -74, 0, -46, 0, -58, 0, 0, 0, -148, 0, 42, 0, 4, 0, -28, 0, 0, 0, 90, 0, 4, 0, 46, 0, 54, 0, 0, 0, -32, 0, -77, 0, -40, 0, 96, 0, 0, 0, 14, 0, -64, 0, -80, 0, 72, 0, 0, 0, 32, 0, -30, 0, -68, 0, 48, 0, 0, 0, 6, 0, -64, 0, -52, 0, -24, 0, 0, 0, -18, 0, -8, 0, -10, 0, 98, 0, 0, 0, 78, 0, 44, 0, -60, 0, 42, 0, 0, 0, 14, 0, -50, 0, 26, 0, -10, 0, 0, 0, -10, 0, 38, 0, 12, 0, -104, 0, 0, 0, -16, 0, -60, 0, -24, 0, -28, 0, 0, 0, 162, 0, 20, 0, 40, 0, 4, 0, 0, 0, -62, 0, -40, 0, 86, 0, 44, 0, 0, 0, -14, 0, 120, 0, 28, 0, 28, 0, 0, 0, 36, 0, 10, 0, -52, 0, 2, 0, 0, 0, 0, 0, -32, 0, -32, 0, 98, 0, 0, 0, -48, 0, -78, 0, 4, 0, 94, 0, 0, 0, 26, 0, 4, 0, 12, 0, 120, 0, 0, 0, 26, 0, 26, 0, 28, 0, 68, 0, 0, 0, -28, 0, -8, 0, 10, 0, -60, 0, 0, 0, -92, 0, 28, 0, -64, 0, -6, 0, 0, 0, 80, 0, -4, 0, 28, 0, -44, 0, 0, 0, -14, 0, 110, 0, 8, 0, -26, 0, 0, 0, -24, 0, -72, 0, -2, 0, -26, 0, 0, 0, 0, 0, -52, 0, -50, 0, 2, 0, 0, 0, 88, 0, -34, 0, -24, 0, 6, 0, 0, 0, 44, 0, 100, 0, -6, 0, 126, 0, 0, 0, 24, 0, 4, 0, 36, 0, -32, 0, 0, 0, 48, 0, -52, 0, 56, 0, -104, 0, 0, 0, 30, 0, -20, 0, -10, 0, -12, 0, 0, 0, -84, 0, 65, 0, -24, 0, -14, 0, 0, 0, 98, 0, 72, 0, 30, 0, 64, 0, 0, 0, -42, 0, 22, 0, 6, 0, 28, 0, 0, 0, -42, 0, 72, 0, -16, 0, -62, 0, 0, 0, 0, 0, 90, 0, -60, 0, 66, 0, 0, 0, 0, 0, 102, 0, 18, 0, 88, 0, 0, 0, -144, 0, -18, 0, -80, 0, 40, 0, 0, 0, -54, 0, -64, 0, 28, 0, 26, 0, 0, 0, 62, 0, -22, 0, 2, 0, -138, 0, 0, 0, -26, 0, 32, 0, -66, 0, -40, 0, 0, 0, 28, 0, 18, 0, 26, 0, 76, 0, 0, 0, 52, 0, -60, 0, -38, 0, -12, 0, 0, 0, 16, 0, 52, 0, 20, 0, 64, 0, 0, 0, 2, 0, 44, 0, -36, 0, 36, 0, 0, 0, 60, 0, -12, 0, 56, 0, -12, 0, 0, 0, 8, 0, 84, 0, -1, 0, 40, 0, 0, 0, 64, 0, 68, 0, -12, 0, 24, 0, 0, 0, 36, 0, 64, 0, 14, 0, -18, 0, 0, 0, 4, 0, 22, 0, -48, 0, 66, 0, 0, 0, 4, 0, -44, 0, -40, 0, -14, 0, 0, 0, 56, 0, -88, 0, 76, 0, -27, 0, 0, 0, -86, 0, -68, 0, 8, 0, 40, 0, 0, 0, 38, 0, -48, 0, 34, 0, -72, 0, 0, 0, -72, 0, 8, 0, 18, 0, 4, 0, 0, 0, 40, 0, -134, 0, -88, 0, -30, 0, 0, 0, 70, 0, 86, 0, -2, 0, -24, 0, 0, 0, -104, 0, 74, 0, 16, 0, 10, 0, 0, 0, -38, 0, -36, 0, 36, 0, -20, 0, 0, 0, 40, 0, 132, 0, 0, 0, -12, 0, 0, 0, -84, 0, 8, 0, -20, 0, 14, 0, 0, 0, -124, 0, 62, 0, 6, 0, -82, 0, 0, 0, 12, 0, -6, 0, 5, 0, 12, 0, 0, 0, 80, 0, -76, 0, 116, 0, -44, 0, 0, 0, -92, 0, -72, 0, -34, 0, -4, 0, 0, 0, 26, 0, -82, 0, 50, 0, 48, 0, 0, 0, 52, 0, 8, 0, 62, 0, 60, 0, 0, 0, 32, 0, -14, 0, 82, 0, -8, 0, 0, 0, -62, 0, -120, 0, 2, 0, 8, 0, 0, 0, 172, 0, 76, 0, -52, 0, -26, 0, 0, 0, -24, 0, 4, 0, -18, 0, -152, 0, 0, 0, 46, 0, -64, 0, -28, 0, -82, 0, 0, 0, 22, 0, 120, 0, 18, 0, 68, 0, 0, 0, -72, 0, 54, 0, -36, 0, 106, 0, 0, 0, -88, 0, 48, 0, -20, 0, 160, 0, 0, 0, -8, 0, -28, 0, 80, 0, 28, 0, 0, 0, 0, 0, -88, 0, 4, 0, 50, 0, 0, 0, -8, 0, -24, 0, 12, 0, -6, 0, 0, 0, -102, 0, -92, 0, 78, 0, 56, 0, 0, 0, -14, 0, 123, 0, -116, 0, -80, 0, 0, 0, -102, 0, 0, 0, 18, 0, -40, 0, 0, 0, 40, 0, -20, 0, -8, 0, -56, 0, 0, 0, -58, 0, -42, 0, 32, 0, -124, 0, 0, 0, 108, 0, -54, 0, -50, 0, 38, 0, 0, 0, -22, 0, -16, 0, 18, 0, 12, 0, 0, 0, 126, 0, 18, 0, 8, 0, -46, 0, 0, 0, -80, 0, 40, 0, -20, 0, 128, 0, 0, 0, 72, 0, -42, 0, 60, 0, 42, 0, 0, 0, 0, 0, 84, 0, -64, 0, 36, 0, 0, 0, 82, 0, -98, 0, -80, 0, -58, 0, 0, 0, 34, 0, -24, 0, 76, 0, -46, 0, 0, 0, -96, 0, -152, 0, -60, 0, 18, 0, 0, 0, 148, 0, 132, 0, -50, 0, -48, 0, 0, 0, -12, 0, 6, 0, 6, 0, -116, 0, 0, 0, -54, 0, 0, 0, 16, 0, -156, 0, 0, 0, 12, 0, -104, 0, -24, 0, -124, 0, 0, 0, -136, 0, -8, 0, -86, 0, -20, 0, 0, 0, 76, 0, 26, 0, -44, 0, 86, 0, 0, 0, 20, 0, -84, 0, -2, 0, 4, 0, 0, 0, -36, 0, 62, 0, -96, 0, -46, 0, 0, 0, -86, 0, 38, 0, -18, 0, -84, 0, 0, 0, -16, 0, 126, 0, -16, 0, -102, 0, 0, 0, 38, 0, -28, 0, 2, 0, 134, 0, 0, 0, -68, 0, 50, 0, 96, 0, -2, 0, 0, 0, -48, 0, -130, 0, 80, 0, -64, 0, 0, 0, 170, 0, 140, 0, 114, 0, 60, 0, 0, 0, 12, 0, 32, 0, 4, 0, -84, 0, 0, 0, 72, 0, 22, 0, -48, 0, -24, 0, 0, 0, -132, 0, -46, 0, 58, 0, 72, 0, 0, 0, -4, 0, -68, 0, 86, 0, -112, 0, 0, 0, 68, 0, 28, 0, 58, 0, 8, 0, 0, 0, -112, 0, -32, 0, 24, 0, -80, 0, 0, 0, -16, 0, 6, 0, -72, 0, -106, 0, 0, 0, 44, 0, 88, 0, 20, 0, -28, 0, 0, 0, -3, 0, 56, 0, -56, 0, 104, 0, 0, 0, -36, 0, 3, 0, 80, 0, 58, 0, 0, 0, -150, 0, 24, 0, -28, 0, 16, 0, 0, 0, -32, 0, -114, 0, -20, 0, -40, 0, 0, 0, -118, 0, 12, 0, -60, 0, -136, 0, 0, 0, 12, 0, 48, 0, 78, 0, -140, 0, 0, 0, 216, 0, -24, 0, -20, 0, -78, 0, 0, 0, -188, 0, -52, 0, -88, 0, -50, 0, 0, 0, 22, 0, 24, 0, -32, 0, -84, 0, 0, 0, 80, 0, 0, 0, -12, 0, 10, 0, 0, 0, -30, 0, 116, 0, -34, 0, -64, 0, 0, 0, -4, 0, 68, 0, 0, 0, -64, 0, 0, 0, -122, 0, -26, 0, -144, 0, -12, 0, 0, 0, 20, 0, 20, 0, 76, 0, -42, 0, 0, 0, -40, 0, -120, 0, 58, 0, 54, 0, 0, 0, 40, 0, 22, 0, -90, 0, 18, 0, 0, 0, -22, 0, -44, 0, 118, 0, -72, 0, 0, 0, -70, 0, -40, 0, -92, 0, 36, 0, 0, 0, 62, 0, 34, 0, -40, 0, -44, 0, 0, 0, -148, 0, -158, 0, 12, 0, 146, 0, 0, 0, 12, 0, 144, 0, 3, 0, 132, 0, 0, 0, -8, 0, 0, 0, -128, 0, -98, 0, 0, 0, 96, 0, -64, 0, 90, 0, 28, 0, 0, 0, -10, 0, 78, 0, 40, 0, -14, 0, 0, 0, 12, 0, 8, 0, -18, 0, -100, 0, 0, 0, -60, 0, -84, 0, 98, 0, 170, 0, 0, 0, -20, 0, 40, 0, -80, 0, -136, 0, 0, 0, 74, 0, -36, 0, -32, 0, -62, 0, 0, 0, 110, 0, -64, 0, 10, 0, -32, 0, 0, 0, -114, 0, -36, 0, -148, 0, -24, 0, 0, 0, -14, 0, -20, 0, 120, 0, 136, 0, 0, 0, -12, 0, 6, 0, 110, 0, 14, 0, 0, 0, -22, 0, -224, 0, 22, 0, -24, 0, 0, 0, -80, 0, 40, 0, -52, 0, 24, 0, 0, 0, -10, 0, 68, 0, -54, 0, -12, 0, 0, 0, -4, 0, -110, 0, -20, 0, -108, 0, 0, 0, -68, 0, 50, 0, 10, 0, -188, 0, 0, 0, -140, 0, 74, 0, 32, 0, -162, 0, 0, 0, 116, 0, -154, 0, -52, 0, 40, 0, 0, 0, 8, 0, 50, 0, 100, 0, -6, 0, 0, 0, 24, 0, -48, 0, 29, 0, -144, 0, 0, 0, -52, 0, 2, 0, 40, 0, -14, 0, 0, 0, 134, 0, -20, 0, 174, 0, -106, 0, 0, 0, -38, 0, 184, 0, 76, 0, -4, 0, 0, 0, 84, 0, 4, 0, -44, 0, 62, 0, 0, 0, 68, 0, -144, 0, -132, 0, -54, 0, 0, 0, -52, 0, -4, 0, 148, 0, -152, 0, 0, 0, 0, 0, -28, 0, 116, 0, 58, 0, 0, 0, 80, 0, -116, 0, 44, 0, 68, 0, 0, 0, -78, 0, 12, 0, -4, 0, 92, 0, 0, 0, -32, 0, -6, 0, 24, 0, -104, 0, 0, 0, -66, 0, -90, 0, 142, 0, -200, 0, 0, 0, 8, 0, 236, 0, 24, 0, -72, 0, 0, 0, 12, 0, -46, 0, 108, 0, 52, 0, 0, 0, 12, 0, -76, 0, 48, 0, -36, 0, 0, 0, -88, 0, -64, 0, -8, 0, -14, 0, 0, 0, 72, 0, 144, 0, -108, 0, 48, 0, 0, 0, -132, 0, -30, 0, 36, 0, 6, 0, 0, 0, 44, 0, -64, 0, 56, 0, -12, 0, 0, 0, -20, 0, -80, 0, -228, 0, 70, 0, 0, 0, 36, 0, 40, 0, -186, 0, 56, 0, 0, 0, -64, 0, 65, 0, -100, 0, 56, 0, 0, 0, -10, 0, 14, 0, -26, 0, -12, 0, 0, 0, 20, 0, 24, 0, -84, 0, 72, 0, 0, 0, -20, 0, 148, 0, -46, 0, -106, 0, 0, 0, -18, 0, 124, 0, 68, 0, -28, 0, 0, 0, 108, 0, -16, 0, -58, 0, -24, 0, 0, 0, -88, 0, -28, 0, 14, 0, -10, 0, 0, 0, 36, 0, 16, 0, 90, 0, 14, 0, 0, 0, -170, 0, 124, 0, -6, 0, -130, 0, 0, 0, -4, 0, 28, 0, -46, 0, -140, 0, 0, 0, 32, 0, 54, 0, -32, 0, -52, 0, 0, 0, -22, 0, -16, 0, 56, 0, 20, 0, 0, 0, -92, 0, 16, 0, -70, 0, 64, 0, 0, 0, -44, 0, 156, 0, 152, 0, 24, 0, 0, 0, 68, 0, 38, 0, 44, 0, -42, 0, 0, 0, -32, 0, 20, 0, -60, 0, -86, 0, 0, 0, -86, 0, 140, 0, 54, 0, -72, 0, 0, 0, 14, 0, 70, 0, -176, 0, -124, 0, 0, 0, -62, 0, -66, 0, -116, 0, 24, 0, 0, 0, 84, 0, -188, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, 1, 1], [0, 0, 0], [0, -1, -1], [0, 0, 0], [1, -3, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-4, 2, 0], [0, 0, 0], [-1, 1, 2], [0, 0, 0], [-2, 0, 0], [0, 0, 0], [2, 0, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, 0, 2], [0, 0, 0], [-1, 1, -1], [0, 0, 0], [-1, 3, 2], [0, 0, 0], [-3, 3, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-5, -1, 3], [0, 0, 0], [0, 0, 1], [0, 0, 0], [4, -4, 0], [0, 0, 0], [-4, 6, 3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [7, -1, -1], [0, 0, 0], [-3, 4, 2], [0, 0, 0], [2, -2, 4], [0, 0, 0], [-8, 0, -2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-5, 1, 3], [0, 0, 0], [-1, 1, -4], [0, 0, 0], [-3, -5, 3], [0, 0, 0], [-3, -3, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-1, 3, -1], [0, 0, 0], [3, -1, -3], [0, 0, 0], [-3, -1, -4], [0, 0, 0], [-3, -3, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-2, -8, -2], [0, 0, 0], [0, -4, -2], [0, 0, 0], [-6, 5, 3], [0, 0, 0], [1, -7, -5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [4, -2, 0], [0, 0, 0], [2, 4, 8], [0, 0, 0], [-1, -1, -1], [0, 0, 0], [-3, -1, 3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-6, 8, 2], [0, 0, 0], [3, 5, 2], [0, 0, 0]]}