# Stored data for newform 7742.2.a.w, downloaded from the LMFDB on 03 October 2025.
{"Nk2": 30968, "analytic_conductor": 61.82018124487527, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [79, -1]], "atkin_lehner_string": "---", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [7742, 1, [2845, 4901], [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, -2, -2, 1]], [5, [4, 0, -4, 1]], [11, [16, -16, 0, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191835713086, "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": "7742.2.a.w", "level": 7742, "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, 7, 79], "level_radical": 1106, "minimal_twist": "1106.2.a.i", "nf_label": "3.3.148.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(1+\\beta _{1}+\\beta _{2})q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7742.2.a", "trace_display": [3, 2, 4, 0], "trace_hash": 2213707592445818147, "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "2.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.132", "prec": 17}, {"__RealLiteral__": 0, "data": "24.385", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "289.917", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, "traces": [0, 3, 3, 2, 3, 4, 2, 0, 3, -1, 4, 0, 2, 4, 0, -2, 3, 12, -1, 10, 4, 0, 0, 4, 2, 1, 4, 2, 0, -6, -2, 10, 3, 4, 12, 0, -1, 2, 10, -6, 4, 10, 0, -2, 0, 0, 4, -10, 2, 0, 1, 8, 4, -8, 2, 12, 0, 2, -6, 8, -2, 14, 10, 0, 3, 4, 4, -8, 12, -2, 0, 8, -1, 12, 2, -22, 10, 0, -6, 3, 4, -5, 10, 14, 0, 16, -2, -10, 0, -8, 0, 0, 4, 2, -10, 24, 2, -18, 0, 20, 1, 0, 8, 10, 4, 0, -8, 22, 2, -12, 12, -10, 0, 0, 2, 16, -6, -20, 8, 0, -2, -1, 14, 20, 10, 12, 0, 14, 3, 2, 4, -10, 4, 0, -8, 24, 12, -2, -2, 8, 0, 16, 8, -20, -1, -26, 12, 0, 2, -20, -22, 12, 10, -4, 0, 24, -6, 36, 3, 6, 4, 0, -5, 4, 10, 8, 14, -8, 0, -15, 16, -2, -2, -18, -10, 0, 0, 20, -8, -12, 0, 20, 0, 52, 4, 18, 2, 0, -10, 0, 24, 12, 2, 8, -18, -20, 0, 6, 20, 40, 1, 8, 0, 0, 8, 4, 10, 0, 4, 12, 0, -4, -8, 32, 22, -42, 2, 0, -12, -10, 12, 16, -10, 2, 0, -15, 0, -18, 2, 6, 16, 0, -6, 10, -20, -44, 8, 2, 0, 36, -2, 14, -1, -22, 14, 0, 20, 12, 10, -30, 12, 2, 0, 12, 14, -8, 3, 0, 2, 0, 4, -28, -10, -8, 4, -26, 0, 22, -8, -16, 24, -18, 12, 0, -2, 16, -2, -2, 8, -2, 0, 46, 16, 6, 8, -16, -20, 0, -1, -3, -26, -16, 12, 4, 0, 30, 2, 24, -20, 4, -22, 0, 12, 58, 10, -26, -4, 26, 0, 12, 24, -14, -6, 0, 36, 0, 3, -2, 6, -48, 4, -14, 0, 40, -5, 16, 4, -38, 10, 0, 8, -40, 14, -8, -8, -20, 0, -38, -15, 44, 16, 12, -2, 0, -2, -12, -18, -28, -10, 40, 0, 0, 0, -2, 20, -8, -8, 0, -12, 14, 0, -13, 20, 18, 0, 36, 52, 16, 4, 14, 18, 0, 2, -28, 0, -36, -10, 22, 0, -58, 24, -8, 12, -32, 2, 0, 8, -32, -18, -70, -20, 16, 0, -42, 6, 4, 20, 36, 40, 0, 1, -12, 8, 12, 0, -20, 0, 8, 8, -28, 4, -40, 10, 0, 0, 24, 4, -68, 12, 78, 0, 26, -4, 18, -8, 4, 32, 0, 22, -32, -42, 16, 2, 12, 0, -8, -12, 24, -10, -34, 12, 0, 16, -2, -10, -52, 2, -2, 0, 6, -15, 8, 0, -40, -18, 0, 2, -26, 6, 8, 16, -14, 0, 64, -6, -16, 10, -34, -20, 0, -44, -4, 8, -72, 2, 34, 0, 10, 36, 2, -2, 10, 14, 0, -1, -36, -22, 12, 14, 0, 0, 12, 20, -24, 12, -4, 10, 0, -30, -16, 12, 8, 2, 26, 0, -48, 12, -14, 14, 34, -8, 0, 3, 28, 0, -20, 2, -16, 0, 8, 4, -34, -28, -6, -10, 0, -8, 40, 4, -53, -26, 46, 0, -4, 22, 42, -8, -84, -16, 0, 24, -42, -18, -6, 12, 42, 0, 0, -2, 36, 16, -38, -2, 0, -2, -24, 8, -10, -2, 30, 0, 16, 46, -18, 16, -16, 6, 0, 8, -18, -16, 52, -20, 56, 0, 32, -1, 56, -3, 0, -26, 0, -16, -8, 12, -16, 4, 64, 0, 44, 30, 10, 2, -32, 24, 0, -20, -4, 4, -28, -22, -12, 0, 20, 12, -44, 58, -66, 10, 0, -26, -28, -4, 24, 26, 20, 0, 26, 12, -50, 24, 24, -14, 0, -6, 27, 0, 16, 36, 8, 0, -56, 3, 2, -2, 16, 6, 0, -48, 32, 4, 18, -14, 30, 0, 8, 40, -70, -5, 68, 16, 0, 4, 10, -38, 4, 10, -20, 0, -2, 8, 72, -40, -24, 14, 0, -8, -26, -8, -58, -20, -4, 0, -6, -38, 62, -15, 0, 44, 0, 16, 0, 12, 0, -2, -20, 0, -4, -2, -18, -12, -28, -18, 0, -28, 62, -10, 40, 40, 88, 0, 22, 0, 22, 0, 52, -2, 0, 20, -42, -8, -1, -8, 24, 0, 16, -12, 16, 14, -36, 0, 0, -13, -48, 20, -26, 18, 32, 0, -13, 36, -8, 52, 64, 16, 0, 4, 8, 14, -46, 18, -32, 0, 36, 2, -42, -28, -78, 0, 0, -36, -40, -10, -48, 22, 20, 0, -122, -58, 8, 24, -38, -8, 0, 12, 0, -32, -38, 2, -42, 0, -18, 8, -60, -32, 34, -18, 0, -70, 24, -20, 16, 16, -40, 0, 38, -42, 6, 6, 82, 4, 0, 20, -22, 36, 28, 40, -28, 0, -40, 1, 16, -12, 4, 8, 0, 12, -10, 0, 30, -20, 58, 0, -28, 8, -52, 8, -46, -28, 0, 4, 30, -40, 80, 10, -28, 0, 0, 0, 24, 24, -12, 4, 0, -68, -20, 12, 28, 78, 80, 0, -3, 26, -10, -4, -32, 18, 0, -8, 66, 4, 18, 32, -66, 0, -20, 22, 18, -32, 14, -42, 0, 16, -36, 2, -38, 12, -2, 0, 0, -8, -28, -12, -14, 24, 0, -10, 18, -34, 40, 12, -16, 0, -92, 16, 24, -2, -104, -10, 0, -52, -52, 2, -64, -2, 52, 0, -20, 6, -38, -15, -32, 8, 0, 0, 92, -40, 60, -18, 68, 0, 32, 2, -68, -26, 76, 6, 0, 8, -60, 16, 88, -14, -24, 0, 54, 64, -26, -6, 4, -16, 0, 10, -20, -34, 48, -20, -60, 0, -54, -44, -104, -4, 4, 8, 0, -72, -44, 2, 32, 34, 56, 0, 34, 10, 12, 36, -68, 2, 0, -2, -49, 10, -52, 14, 44, 0, 80, -1, 8, -36, -54, -22, 0, 12, -18, 14, 34, 0, -28, 0, 2, 12, 10, 20, 26, -24, 0, 12, -42, -4, 16, 10, -42, 0, 60, -30, -32, -16, 32, 12, 0, 8, 32, 2, 32, 26, -42, 0, -88, -48, -6, 12, -32, -14, 0, 14, 72, 34, -56, -8, -92, 0, 16, 3, -42, 28, 4, 0, 0, -20, 76, 2, 102, -16, -20, 0, 56, 8, 40, 4, 0, -34, 0, -28, 40, -6, 88, -10, -26, 0, -68, -8, 32, 40, -90, 4, 0, -53, 72, -26, 16, 46, 2, 0, 48, -4, -32, 22, 120, 42, 0, -8, -16, -84, -86, -16, -52, 0, 92, 24, -44, -42, -50, -18, 0, -6, 42, 12, -5, 42, -110, 0, 50, 0, -44, -2, -60, 36, 0, 16, 48, -38, 44, -2, 16, 0, -12, -2, 44, -24, 20, 8, 0, -10, 96, -2, 14, 30, -18, 0, 46, 16, 10, 46, -76, -18, 0, 16, 86, -16, 60, 6, -56, 0, -62, 8, -6, -18, -32, -16, 0, 52, -42, -20, 58, 56, 22, 0, -64, 32, -26, -1, -16, 56, 0, -3, -24, 0, 2, -26, -80, 0, -76, -16, -88, -8, -20, 12, 0, -16, 4, 4, -8, 64, -110, 0, -32, 44, -50, 30, 28, 10, 0, 2, -2, -32, -72, 24, -32, 0, 18, -20, 0, -4, 24, 4, 0, -28, 56, -22, 26, -12, -64, 0, 44, 20, 32, 12, -32, -44, 0, 58, -32, -66, -94, 10, -84, 0, -26, -26, -12, -28, -36, -4, 0, 24, 28, 26, -46, 20, 40, 0, -94, 26, 44, 12, -24, -50, 0, 24, 48, 24, 56, -14, -88, 0, 112, -6, 24, 27, -98, 0, 0, 16, -22, 36, 72, 8, 60, 0, -4, -56, 112, 3, 16, 2, 0, -2, -68, 16, 24, 6, -36, 0, -88, -48, -40, 32, 58, 4, 0, 18, 96, -14, 20, 30, 12, 0, -42, 8, 24, 40, 50, -70, 0, -5, -4, 68, -82, 16, -52, 0, -42, 4, 6, 10, 68, -38, 0, 4, -16, 10, -68, -20, -20, 0, 2, -2, 46, 8, -2, 72, 0, -40, -56, -24, 80, 14, -62, 0, -48, -8, -46, -26, 60, -8, 0, -58, 36, -20, 14, -4, 12, 0, -44, -6, 24, -38, 8, 62, 0, -15, 48, 0, -72, 44, 30, 0, -96, 16, 74, 0, 44, 12, 0, 0, -16, -2, -83, -20, -98, 0, 40, -4, -56, -2, -20, -18, 0, -12, -6, -28, -80, -18, 64, 0, 60, -28, 36, 62, 74, -10, 0, 40, -20, 40, -40, 88, -72, 0, 10, 22, -26, 0, 112, 22, 0, 0, -50, 52, 56, -2, -78, 0, -28, 20, -14, -42, -68, -8, 0, -1, 32, -8, -90, 24, 22, 0, -70, 16, -36, -12, 10, 16, 0, 14, -118, -36, -86, 0, -36, 0, -12, -13, -4, -48, 4, 20, 0, -26, -28, 18, 10, 32, 4, 0, -64, -13, 58, 36, 6, -8, 0, 52, -6, 64, -64, 16, -72, 0, 28, 4, 78, 8, 12, 14, 0, -46, -40, 18, 2, -32, 60, 0, 8, 36, -38, 2, 64, -42, 0, -28, -88, -78, 36, 0, -92, 0, 118, -36, 10, -40, 20, -10, 0, -48, -112, 22, 88, 20, -48, 0, -32, -122, 116, -58, -16, 8, 0, 24, -15, -38, -100, -8, -170, 0, 44, 12, -44, 0, 64, -32, 0, -38, -74, 2, 28, -42, -30, 0, -20, -18, -8, 8, 4, -60, 0, -32, 16, 34, 16, -18, 20, 0, 48, -70, 32, 24, -26, -20, 0, 16, -20, 16, 60, -40, 8, 0, -38, 38, 100, -42, 4, 6, 0, 6, 52, 82, -56, 4, 8, 0, -116, 20, -28, -22, -58, 36, 0, 28, -44, 40, 44, -28, -24, 0, 84, -40, -28, 1, 104, 16, 0, -12, -72, 4, -56, 8, 26, 0, -80, 12, 104, -10, 96, 0, 0, 30, 36, -20, 94, 58, 16, 0, 88, -28, -28, 8, 20, -52, 0, 8, -8, -46, -52, -28, 58, 0, -8, 4, 52, 30, -42, -40, 0, 80, -80, 10, -72, -28, 56, 0, -28, 0, -50, 0, 82, 24, 0, 24, -88, -12, 84, 4, -38, 0, 20, -68, -112, -20, -92, 12, 0, 28, -48, 78, 76, 80, 36, 0, -63, -3, 80, 26, -116, -10, 0, -4, -130, -32, -68, 18, -44, 0, 88, -8, 24, 66, 162, 4, 0, 18, 40, 32, 40, -66, 66, 0, -38, -20, -118, 22, 32, 18, 0, -32, 0, 14, 88, -42, -54, 0, 76, 16, -46, -36, -76, 2, 0, -38, -4, 12, 100, -2, -80, 0, 20, 0, -60, -8, 72, -28, 0, -12, -34, -14, -48, 24, 4, 0, 40, -10, -44, 18, 64, -34, 0, 40, -144, 12, 60, -16, 0, 0, -128, -92, -12, 16, -22, 24, 0, -2, 28, -104, -88, -10, -70, 0, -118, -52, 92, -52, 72, 2, 0, -64, -24, -2, 10, 52, -68, 0, -120, -20, 32, 6, -96, -38, 0, -15, -84, -32, -28, 8, 56, 0, 106, 0, -24, 92, 70, -40, 0, 60, 38, -18, 4, 68, 88, 0, -32, 32, -8, 2, 80, -68, 0, -26, 46, 76, 32, 6, 36, 0, -64, 8, 8, -60, 82, 16, 0, 88, -72, -14, 36, -24, -12, 0, 59, 54, 142, 64, -48, -26, 0, -6, -48, 4, -32, -16, -84, 0, -20, 10, 14, -20, -6, -34, 0, 48, 26, -20, 38, -60, 14, 0, 16, -54, -72, -44, 36, -104, 0, -4, -32, 4, -40, 8, 112, 0, 2, -72, -108, -44, -78, 2, 0, 32, -74, 34, 82, 56, 12, 0, -44, 34, 86, 10, 24, 12, 0, 36, -96, -68, 76, 2, -32, 0, -48, -2, 0, -49, -16, 10, 0, -52, 12, 14, 142, 44, 16, 0, 60, 80, 46, -1, -34, 8, 0, -36, -88, -54, 4, -22, -112, 0, 108, 12, 40, -18, 44, 14, 0, 34, 64, 0, 0, -28, -28, 0, -32, 2, 108, 12, -64, 10, 0, 20, -16, 26, 48, -24, 148, 0, 1, 12, 34, -42, -34, -4, 0, 16, -4, 10, 104, -42, -62, 0, -80, 60, 92, -30, -82, -32, 0, -16, -178, 32, -32, 12, -8, 0, -84, 8, -36, 32, -26, 2, 0, 32, -104, 26, 100, -42, 44, 0, -30, -88, -68, -48, 92, -6, 0, 12, -3, -32, 36, -14, -18, 0, 94, 14, 86, 72, 8, 34, 0, -56, 120, -8, 114, -92, -8, 0, -144, 16, -52, 3, 12, -42, 0, 28, -116, 4, -76, 0, -4, 0, -40, -20, 32, 76, -32, 2, 0, 102, 24, -16, 46, -20, 18, 0, -56, 56, 94, 8, -36, 40, 0, 4, -66, 0, 36, -34, -152, 0, -72, -28, -54, 40, 80, -6, 0, 88, 90, -10, 58, -26, -6, 0, 88, -68, 98, -8, -76, 32, 0, 40, -44, -90, -32, 4, -74, 0, 76, -53, -30, 72, 68, -26, 0, 16, 56, 46, 48, 2, -34, 0, -22, 48, 44, -4, 2, -32, 0, 22, 86, 120, -16, 42, 12, 0, 120, -8, -24, -16, -16, -84, 0, -86, -52, -16, 30, -52, 16, 0, -12, 92, 56, 24, 118, -44, 0, -42, 116, -50, 48, -18, -94, 0, -28, -6, -4, 42, 86, 12, 0, -5, 76, 42, 36, -110, 10, 0, 84, 50, -36, 0, -48, -44, 0, -2, 8, -60, -144, 36, -52, 0, 18, 16, 8, 48, -64, -38, 0, 44, 38, -2, -1, 16, 24, 0, -2, -12, 62, -2, -54, 44, 0, -24, -50, 20, -56, 8, -140, 0, -40, -10, 56, 96, -36, -2, 0, 14, 36, 30, -6, -18, 46, 0, 20, 46, 138, 16, 68, 10, 0, 46, -50, -76, 124, -18, -6, 0, 40, 16, -78, 86, -124, -16, 0, 60, 60, 6, -104, -56, 82, 0, -142, -62, -100, 8, 134, -6, 0, -18, -4, -32, 48, -16, -140, 0, -32, 52, 44, -42, -14, -20, 0, 58, -6, 56, 194, 22, 96, 0, -72, -64, -46, 32, -84, -26, 0, -1, 90, -16, -36, 56, -184, 0, 92, -3, -16, -24, 164, 0, 0, 2, -34, -26, -160, -80, -48, 0, -90, -76, 68, -16, -8, -88, 0, -8, -154, -20, 28, 12, 60, 0, -52, -16, -156, 4, 80, 4, 0, -8, 122, 64, 88, -110, 34, 0, 0, -32, -80, 44, -16, -50, 0, 30, 82, 28, 32, 10, -8, 0, 168, 2, -20, -2, 146, -32, 0, -72, 56, 24, -38, -32, -24, 0, -58, 18, -100, -20, 38, 0, 0, -4, 6, 24, -104, 4, 46, 0, 64, -28, 64, 56, 16, -22, 0, 26, -88, -12, 56, -64, 74, 0, -16, 44, 88, 20, 44, 32, 0, 12, 46, -32, 56, -44, -16, 0, -2, 58, -22, -32, 28, -66, 0, -94, -80, 10, 10, -84, -64, 0, 154, -26, -74, -26, 106, -12, 0, -28, -8, -36, 106, -4, 10, 0, 12, 24, 68, 28, 78, 26, 0, -46, 112, 20, 42, 40, 68, 0, -104, -94, -34, 26, 4, 44, 0, 12, 236, -24, -100, -50, -186, 0, -28, 24, -6, 48, -76, 24, 0, 56, -72, -14, -16, -88, 80, 0, 46, 112, -68, -6, -52, 24, 0, 27, 132, -98, 14, 0, 32, 0, 42, 16, -12, -22, -30, 36, 0, 72, 0, 8, 60, 60, 84, 0, 86, -4, 64, -56, -212, 112, 0, 3, -46, 16, -198, 2, -80, 0, 2, -2, -146, -68, 78, 16, 0, 24, -20, 6, 134, -36, 86, 0, -150, -88, 42, -48, -24, -40, 0, 32, -64, 58, 16, 4, -22, 0, -40, 18, 120, 96, 48, -14, 0, 20, 8, 30, 52, 12, -74, 0, 124, -42, -34, 8, 58, 24, 0, 40, -40, 50, 108, -70, 46, 0, -70, -5, -48, -4, 52, 68, 0, -82, -16, 16, 1, -52, -24, 0, 12, -42, 4, 4, -70, 6, 0, 10, 8, 68, 112, -38, -84, 0, -36, 4, 2, -16, 86, 10, 0, -68, -40, -20, -64, -20, 16, 0, -86, 2, 96, -2, 62, 46, 0, 8, 78, -2, 32, 72, -40, 0, -20, -40, -102, -56, -64, -24, 0, 80, 10, 14, -78, -62, 66, 0, 40, -48, 56, -8, -32, -46, 0, -26, 144, 60, 0, -8, -156, 0, 90, -58, -14, 36, 84, -20, 0, 14, 84, -4, -144, 12, 22, 0, -164, -44, -16, -6, -46, 24, 0, -38, -28, 8, 100, 62, 46, 0, 24, -15, -72, 48, 74, 0, 0, -72, -76, 44, 66, 30, -52, 0, -24, -96, -94, 16, 48, 74, 0, 0, 172, 44, -96, 12, 128, 0, -100, 0, -72, -16, 8, -2, 0, -83, -128, -20, -106, -98, 70, 0, 130, 40, 0, -4, 20, -56, 0, -2, -102, -20, -108, -18, 58, 0, -68, -12, -148, -6, 24, -28, 0, -80, -24, -18, -32, 64, 16, 0, -36, 60, -34, -28, -144, 36, 0, 62, -60, 74, -44, -10, 76, 0, -136, 40, -18, -20, 108, 40, 0, -40, -88, 88, 166, -72, 50, 0, 138, 10, -82, 22, 32, -26, 0, 0, -111, 112, -12, 22, 84, 0, 140, 0, -48, -50, -98, 52, 0, 56, -14, -2, -120, -78, 4, 0, 20, -28, -82, 20, -42, -14, 0, -42, -106, -68, -32, -8, -74, 0, -26, -1, -12, 32, -28, -8, 0, -90, 96, 24, 90, 22, 160, 0, 54, -70, 16, 16, 178, -36, 0, -12, 88, 10, 128, 16, 44, 0, -16, 14, -60, -118, 32, -36, 0, -86, 128, 0, 12, -36, -74, 0, 148, -12, -36, -13, 40, -4, 0, -48, 156, 4, -16, 20, 178, 0, 28, -26, -50, -28, -44, 18, 0, 10, -8, 32, 18, 4, 80, 0, -54, -64, -32, -13, 72, 58, 0, 36, 16, 6, 2, -8, 24, 0, 132, 52, -30, -6, -8, 64, 0, -64, 162, 16, 16, -72, 162, 0, -72, 28, 108, 4, 132, 78, 0, 8, -68, 12, -10, 14, 20, 0, 8, -46, 144, -40, -44, 18, 0, 2, 48, -32, -12, 60, 8, 0, -122, 8, -34, 36, -176, -38, 0, 2, -26, 64, -14, -42, -128, 0, 110, -28, -88, -88, 64, -78, 0, 36, -22, 0, 4, -92, 76, 0, -4, 118, -214, -36], "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], [1, 0, 0], [1, -1, 0], [1, 0, 0], [1, 1, 1], [1, -1, 0], [0, 0, 0], [1, 0, 0], [0, -1, 1], [1, 1, 1], [0, 0, 2], [1, -1, 0], [1, 1, -1], [0, 0, 0], [0, -2, 0], [1, 0, 0], [4, 0, 0], [0, -1, 1], [3, 1, 1], [1, 1, 1], [0, 0, 0], [0, 0, 2], [1, 1, 1], [1, -1, 0], [-1, 4, 2], [1, 1, -1], [0, 2, 2], [0, 0, 0], [-2, 0, -3], [0, -2, 0], [3, 1, 1], [1, 0, 0], [2, -2, 2], [4, 0, 0], [0, 0, 0], [0, -1, 1], [0, 2, 1], [3, 1, 1], [-2, 0, -2], [1, 1, 1], [4, -2, 0], [0, 0, 0], [0, -2, -5], [0, 0, 2], [1, -3, -1], [1, 1, 1], [-2, -4, -2], [1, -1, 0], [0, 0, 0], [-1, 4, 2], [4, -4, 0], [1, 1, -1], [-2, -2, -1], [0, 2, 2], [4, 0, 0], [0, 0, 0], [2, -4, 0], [-2, 0, -3], [3, -1, 4], [0, -2, 0], [7, -7, -2], [3, 1, 1], [0, 0, 0], [1, 0, 0], [0, 4, 2], [2, -2, 2], [-2, -2, 0], [4, 0, 0], [0, -2, 0], [0, 0, 0], [4, -4, 0], [0, -1, 1], [3, 3, 1], [0, 2, 1], [-7, -1, -2], [3, 1, 1], [0, 0, 0], [-2, 0, -2], [1, 0, 0], [1, 1, 1], [-2, 1, -3], [4, -2, 0], [3, 5, -3], [0, 0, 0], [4, 4, 4], [0, -2, -5], [-5, 5, -3], [0, 0, 2], [-1, -5, -3], [1, -3, -1], [0, 0, 0], [1, 1, 1], [2, -4, 0], [-2, -4, -2], [6, 6, 4], [1, -1, 0], [-6, 0, -2], [0, 0, 0], [8, -4, -2], [-1, 4, 2]]}