# Stored data for newform 4002.2.a.ba, downloaded from the LMFDB on 05 December 2024. {"Nk2": 16008, "analytic_conductor": 31.95613088891641, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [23, -1], [29, 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": [4002, 1, [2669, 3133, 553], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 16448, "field_disc_factorization": [[2, 6], [257, 1]], "field_poly": [14, 8, -7, -2, 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": [[5, [-4, 20, -11, -2, 1]], [7, [-32, 32, 1, -6, 1]], [11, [8, -24, -26, 0, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590345191330, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "4002.2.a.ba", "level": 4002, "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": true, "level_primes": [2, 3, 23, 29], "level_radical": 4002, "minimal_twist": "4002.2.a.ba", "nf_label": "4.4.16448.2", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta _{3}q^{5}+q^{6}+(1+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4002.2.a", "trace_display": [-4, -4, 2, 6], "trace_hash": 900172375997043358, "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "3.802", "prec": 17}, {"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "40.924", "prec": 20}, {"__RealLiteral__": 0, "data": "3.671", "prec": 17}, {"__RealLiteral__": 0, "data": "686.132", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "traces": [0, 4, -4, -4, 4, 2, 4, 6, -4, 4, -2, 0, -4, 0, -6, -2, 4, -6, -4, 2, 2, -6, 0, 4, 4, 6, 0, -4, 6, -4, 2, 8, -4, 0, 6, -6, 4, 10, -2, 0, -2, 6, 6, 14, 0, 2, -4, 10, -4, 6, -6, 6, 0, 4, 4, -20, -6, -2, 4, -22, -2, 28, -8, 6, 4, 12, 0, 24, -6, -4, 6, 28, -4, 0, -10, -6, 2, -4, 0, 12, 2, 4, -6, 20, -6, -10, -14, 4, 0, -24, -2, 28, 4, -8, -10, 2, 4, -32, -6, 0, 6, -40, -6, 10, 0, 6, -4, 18, -4, 4, 20, -10, 6, 18, 2, 2, -4, 0, 22, -50, 2, 8, -28, -6, 8, -6, -6, 36, -4, -14, -12, -28, 0, 2, -24, -2, 6, 20, 4, -36, -6, -10, -28, 4, 4, -2, 0, -6, 10, -2, 6, 22, -2, -6, 4, 24, 0, 30, -12, -4, -2, 6, -4, 14, 6, 20, -20, -12, 6, 32, 10, 2, 14, 10, -4, 8, 0, 22, 24, -36, 2, -12, -28, -28, -4, -42, 8, 28, 10, -6, -2, -2, -4, 44, 32, -12, 6, 42, 0, 20, -6, -24, 40, -6, 6, -26, -10, 4, 0, 60, -6, -6, 4, -28, -18, -34, 4, 16, -4, 0, -20, -68, 10, -32, -6, 6, -18, 30, -2, 30, -2, 4, 4, 52, 0, 14, -22, -12, 50, 52, -2, 18, -8, -4, 28, -16, 6, 60, -8, -20, 6, 20, 6, 0, -36, 10, 4, -20, 14, 86, 12, -4, 28, 14, 0, 8, -2, 24, 24, 16, 2, 48, -6, -28, -20, 60, -4, -20, 36, 8, 6, -40, 10, 24, 28, -2, -4, 30, -4, 30, 2, 32, 0, 36, 6, 30, -10, 0, 2, 0, -6, 14, -22, 40, 2, -28, 6, 8, -4, -10, -24, 62, 0, 18, -30, -6, 12, -44, 4, 0, 2, -18, -6, -2, 4, 60, -14, -4, -6, -10, -20, 2, 20, 10, 12, 96, -6, -28, -32, -18, -10, -52, -2, 18, -14, -2, -10, -86, 4, 32, -8, 0, 0, 64, -22, 84, -24, 50, 36, 42, -2, 46, 12, -8, 28, 36, 28, -12, 4, 6, 42, 48, -8, 20, -28, 6, -10, 0, 6, -48, 2, -36, 2, 20, 4, -44, -44, 14, -32, -8, 12, -6, -6, 28, -42, 24, 0, -28, -20, -2, 6, 40, 24, -4, -40, 2, 6, 40, -6, -64, 26, -20, 10, -26, -4, 36, 0, 36, -60, 10, 6, -36, 6, 10, -4, -8, 28, 36, 18, -4, 34, 40, -4, 20, -16, 2, 4, 2, 0, 94, 20, 6, 68, 0, -10, -24, 32, 2, 6, -62, -6, 48, 18, -22, -30, 52, 2, 38, -30, 6, 2, -28, -4, 4, -4, -24, -52, -60, 0, -16, -14, -30, 22, 44, 12, 124, -50, 4, -52, 20, 2, 88, -18, -6, 8, 8, 4, 62, -28, -14, 16, 48, -6, 6, -60, -20, 8, 28, 20, 28, -6, 12, -20, -66, -6, -20, 0, -32, 36, -18, -10, -100, -4, -2, 20, -50, -14, 4, -86, -10, -12, 28, 4, 68, -28, -8, -14, -40, 0, 4, -8, -22, 2, 32, -24, 62, -24, 36, -16, -68, -2, 34, -48, 12, 6, -24, 28, -44, 20, 28, -60, -2, 4, 88, 20, 42, -36, 42, -8, -52, -6, -28, 40, 64, -10, -58, -24, 6, -28, 14, 2, -16, 4, 2, -30, 6, 4, 24, -30, -44, -2, 20, -32, -88, 0, 12, -36, 22, -6, -56, -30, -42, 10, 20, 0, -46, -2, -20, 0, -4, 6, 20, -14, 24, 22, -114, -40, -8, -2, 6, 28, -28, -6, 48, -8, 26, 4, -66, 10, 18, 24, -4, -62, 56, 0, 0, -18, -60, 30, -110, 6, 6, -12, 6, 44, 60, -4, -4, 0, 28, -2, -78, 18, 92, 6, 34, 2, 104, -4, -44, -60, -16, 14, -16, 4, 4, 6, 0, 10, -20, 20, -12, -2, 68, -20, -2, -10, -4, -12, 32, -96, -16, 6, -6, 28, -6, 32, -28, 18, -56, 10, -30, 52, -6, 2, -116, -18, -30, 14, 8, 2, -104, 10, -4, 86, -36, -4, -22, -32, -52, 8, 38, 0, 62, 0, -14, -64, -60, 22, -64, -84, 12, 24, 8, -50, 20, -36, -52, -42, -4, 2, -74, -46, -18, -12, -6, 8, -8, -28, 4, -36, 34, -28, 16, 12, 16, -4, -56, -6, 32, -42, -60, -48, -74, 8, -42, -20, 20, 28, -2, -6, 72, 10, -20, 0, -70, -6, 50, 48, 0, -2, -44, 36, 16, -2, -10, -20, 52, -4, -60, 44, 20, 44, 72, -14, -48, 32, -86, 8, 62, -12, -92, 6, 4, 6, -14, -28, -44, 42, -14, -24, 30, 0, -112, 28, -8, 20, 4, 2, 26, -6, -24, -40, 16, -24, -6, 4, -16, 40, 0, -2, 8, -6, -48, -40, -30, 6, 6, 64, 28, -26, 8, 20, -12, -10, -60, 26, -52, 4, -134, -36, 20, 0, -92, -36, 28, 60, -8, -10, -90, -6, 4, 36, 40, -6, 170, -10, 98, 4, -24, 8, 10, -28, 14, -36, 2, -18, 32, 4, -18, -34, -30, -40, 36, 4, 58, -20, -30, 16, -84, -2, 8, -4, -32, -2, 22, 0, 24, -94, -36, -20, -24, -6, 0, -68, -30, 0, -20, 10, 60, 24, 0, -32, 6, -2, 12, -6, 0, 62, -8, 6, -96, -48, -14, -18, 0, 22, -96, 30, -40, -52, 36, -2, 40, -38, 28, 30, -36, -6, -14, -2, -8, 28, 20, 4, 72, -4, 10, 4, -112, 24, -120, 52, -62, 60, -12, 0, 86, 16, -18, 14, -20, 30, 6, -22, 6, -44, 20, -12, -112, -124, 44, 50, 76, -4, -114, 52, 0, -20, 76, -2, -56, -88, 18, 18, -88, 6, 8, -8, 2, -8, -56, -4, -4, -62, -60, 28, -24, 14, -96, -16, 4, -48, -32, 6, 10, -6, 10, 60, 14, 20, 2, -8, -2, -28, -108, -20, 78, -28, -10, 6, -44, -12, -22, 20, -96, 66, -120, 6, -50, 20, 28, 0, -28, 32, 6, -36, 18, 18, 48, 10, -28, 100, 52, 4, 68, 2, 92, -20, -18, 50, -36, 14, 24, -4, 2, 86, 12, 10, 14, 12, 86, -28, 54, -4, -68, -68, -32, 28, -16, 8, -72, 14, 0, 40, 54, 0, 74, -4, -64, 8, 36, 22, 100, -2, -84, -32, -80, 24, -128, -62, -50, 24, -10, -36, 20, 16, -42, 68, 72, 2, 10, -34, -46, 48, 32, -12, -108, -6, 8, 24, 12, -28, -68, 44, -36, -20, -92, -28, 66, 60, 12, 2, -88, -4, -140, -88, -6, -20, -36, -42, 0, 36, -48, -42, -48, 8, -98, 52, -20, 6, -10, 28, -10, -40, -6, -64, 6, 10, 168, 58, 0, 24, 100, -6, 10, 28, 48, -14, -16, -2, 66, 16, 36, -4, 122, -2, -20, 30, -20, -6, -76, -4, 38, -24, 44, 30, 64, 44, -108, 2, -14, -20, 144, 32, 48, 88, 8, 0, -116, -12, 56, 36, 6, -22, 16, 6, -128, 56, -28, 30, 36, 42, -138, -10, -24, -20, 52, 0, -6, 46, 28, 2, -80, 20, 12, 0, 2, 4, -40, -6, 4, -20, -40, 14, -30, -24, -84, -22, 4, 114, 50, 40, -80, 8, -2, 2, -88, -6, 4, -28, -40, 28, 48, 6, -114, -48, 64, 8, 36, -26, -74, -4, 20, 66, 188, -10, -66, -18, 26, -24, 164, 4, 4, 62, -36, -56, -14, 0, 24, 0, -36, 18, -20, 60, 120, -30, -10, 110, -60, -6, -48, -6, 36, 12, -20, -6, -32, -44, -10, -60, -36, 4, 16, 4, 8, 0, -46, -28, 76, 2, -36, 78, 50, -18, -128, -92, 4, -6, 100, -34, 56, -2, -40, -104, -38, 4, 16, 44, -20, 60, 30, 16, 92, -14, -2, 16, 4, -4, 172, -4, -2, -6, 0, 0, -162, -10, -94, 20, -38, -20, 92, 12, -6, 2, -116, -68, 54, 20, 0, 2, 72, 10, -16, 4, 24, 12, 70, -32, -188, 96, -2, 16, -176, -6, -20, 6, 62, -28, -44, 6, 128, -32, -48, 28, 160, -18, -22, 56, 22, -10, 0, 30, -10, -52, -52, 6, 92, -2, 130, 116, -38, 18, 76, 30, 12, -14, -6, -8, 34, -2, -20, 104, 28, -10, -136, 4, 4, -86, -4, 36, -80, 4, 116, 22, 24, 32, 16, 52, 12, -8, 60, -38, 28, 0, -44, -62, 16, 0, 122, 14, -36, 64, 30, 60, 72, -22, -72, 64, -44, 84, -6, -12, 88, -24, -124, -8, 180, 50, -74, -20, -4, 36, -14, 52, -46, 42, -20, 4, -12, -2, -172, 74, -88, 46, 76, 18, 76, 12, 6, 6, -12, -8, -72, 8, -8, 28, 16, -4, -56, 36, -62, -34, 180, 28, -116, -16, 14, -12, -124, -16, -48, 4, -48, 56, -32, 6, -106, -32, -6, 42, 58, 60, -40, 48, 20, 74, -150, -8, 28, 42, -28, 20, -68, -20, 12, -28, -28, 2, -50, 6, -56, -72, -12, -10, -110, 20, 40, 0, 66, 70, -6, 6, -136, -50, 20, -48, 126, 0, 80, 2, 32, 44, -4, -36, -80, -16, 18, 2, -8, 10, 92, 20, 100, -52, 104, 4, -4, 60, 2, -44, 24, -20, 36, -44, 50, -72, 12, 14, -130, 48, -4, -32, 8, 86, -38, -8, 10, -62, -60, 12, -80, 92, -28, -6, 2, -4, 8, -6, -68, 14, 40, 28, 8, 44, 8, -42, 132, 14, 0, 24, 40, -30, 116, 0, 168, 112, -4, -28, 58, 8, 58, -20, 22, -4, 20, -2, 84, -26, -32, 6, -28, 24, -70, 40, -62, -16, 34, 24, -124, 6, -36, -4, 32, 16, -126, -40, 68, 0, -78, 2, 54, -8, -34, 6, 140, 48, -50, 40, -12, 30, 136, -6, 28, -6, 24, -64, -32, -28, 132, 26, 44, -8, 96, -20, -22, 12, -28, 10, 40, 60, 112, -26, 2, 52, 150, -4, 4, 134, -88, 36, -32, -20, -36, 0, -42, 92, 48, 36, -32, -28, -42, -60, -4, 8, 40, 10, 52, 90, 0, 6, -86, -4, 28, -36, 180, -40, 74, 6, -64, -170, -136, 10, -12, -98, 58, -4, 90, 24, -50, -8, -6, -10, -124, 28, 52, -14, -14, 36, -112, -2, 22, 18, 16, -32, 46, -4, 60, 18, -2, 34, 90, 30, 50, 40, -6, -36, 48, -4, -44, -58, -24, 20, 158, 30, 30, -16, 44, 84, -46, 2, 52, -8, -20, 4, 4, 32, 60, 2, 88, -22, 218, 0, -70, -24, -12, 94, -32, 36, 16, 20, -22, 24, 58, 6, -28, 0, 56, 68, -28, 30, -4, 0, 42, 20, -16, -10, 32, -60, -20, -24, -120, 0, -84, 32, 46, -6, -64, 2, -44, -12, 20, 6, 104, 0, -86, -62, 4, 8, 0, -6, -60, 96, -20, 48, 88, 14, 56, 18, -24, 0, 86, -22, 100, 96, 114, -30, 12, 40, -22, 52, 8, -36, 36, 2, 4, -40, -6, 38, 0, -28, 162, -30, 28, 36, -224, 6, -104, 14, -48, 2, 6, 8, -136, -28, -26, -20, -52, -4, -34, -72, 66, 4, 0, -10, 48, -4, -18, 112, -56, -24, -128, 120, 4, -52, 80, 62, 110, -60, -56, 12, 6, 0, -56, -86, 0, -16, 0, 18, -42, -14, 60, 20, 44, -30, -12, -6, 110, 22, -92, -6, 72, 44, -6, -20, 36, 12, -64, 112, -6, 124, 52, -44, -40, -50, -60, -76, 104, 4, 20, 114, 4, -52, -60, 0, -140, 20, -28, -76, -20, 2, 34, 56, 78, 88, 176, -18, -6, -18, -92, 88, 212, -6, 12, -8, -34, 8, 164, -2, 24, 8, -104, 56, -24, 4, 152, 4, 44, 62, 178, 60, -24, -28, 16, 24, -10, -14, 6, 96, 16, 16, 48, -4, -112, 48, -4, 32, -116, -6, -168, -10, 0, 6, -48, -10, -44, -60, 20, -14, -58, -20, -128, -2, 12, 8, 200, 2, -18, 28, -68, 108, 92, 20, -24, -78, 2, 28, -46, 10, 188, -6, 4, 44, 24, 12, -76, 22, -32, -20, -8, 96, -56, -66, 16, 120, 4, -6, 162, 50, 6, -20, 42, -28, 112, 0, 6, 28, 60, -32, -100, -6, 28, 36, -170, -18, -184, -18, 56, -48, -148, -10, 32, 28, 30, -100, 36, -52, -24, -4, 6, -68, 60, -2, -20, -92, 116, 20, -66, 18, -28, -50, 30, 36, -36, -14, 122, -24, -8, 4, -20, -2, -120, -86, 104, -12, 152, -10, 104, -14, 4, -12, -64, -86, 84, 28, 36, -54, -32, 4, -106, 68, 22, 68, 28, 32, 110, -28, 52, 16, -164, -8, 104, 72, -38, -14, -172, 0, 8, -40, -62, -54, 140, 0, -18, -74, 14, 4, 0, 64, 120, -8, 60, -36, 16, -22, -86, -100, 64, 2, 6, 84, 38, 32, -12, 80, -132, -24, 50, 128, -8, 62, -18, 50, 120, -24, -20, 10, -114, 36, -24, -20, 52, -16, 132, 42, 8, -68, 4, -72, -108, -2, 68, -10, 74, 34, 140, 46, 56, -48, 18, -32, -232, 12, -40, 108, 6, 6, 162, -8, -148, -24, 8, -12, -78, 28, 2, 68, -4, -44, 72, 36, -134, 20, -34, 92, -14, 28, -120, -66, -16, -60, 148, -12, 144, -2, -16, 88, 44, 4, -138, 140, 56, 88, -126, 6, 80, 20, -32, 36, -168, 42, 110, 0, 60, -36, -160, 48, 12, 42, 74, 48, -32, -8, 4, 98, 42, -52, 118, 20, 18, -6, -20, 10, -96, -28, 42, 10, 2, 40, 136, 6, -152, 64, -72, -6, -136, -10, 36, -168, 20, -58, 218, 0, -16, -24, 70, -100, 102, 6, 20, -10, -50, -28, 56, -48, -16, 14, 0, 16, -40, 2, 112, -66, 44, -16, 70, -36, -150, 4, -16, -122, -12, 2, -66, 20, 10, -30, 56, 20, -2, 6, -52, 76, -36, 4, -8, -38, 60, 24, -72, -44, -2, -30, -20, -64, -4, -44, 134, 108, -72, -2, 24, 14, -40, 20, 48, -144, -40, -32, 4, -48, 86, -88, -2, -8, 96, 0, -62, 116, 16, 12, -102, -56, 92, -36, 80, -6, 38, 22, -4, -16, -172, -6, 76, 128, 14, -56, -96, 28, -156, -30, 44, -36, -28, -42, -196, 138, 14, 10, 10, 24, 76, 20, -30, -52, 118, 0, 0, 6, 112, -46, -28, -28, 28, -2, 8, 80, -172, -20, -30, -12, -4, 0, -82, -2, -64, -4, -26, 40, -12, 6, -4, -4, 24, 20, 152, 40, -20, -14, -16, 30, 2, 24, 140, 84, 6, 22, 12, -4, -70, -114, 16, -50, 200, -40, -168, 80, 0, -8, -90, 2, 76, -2, -8, 88, -206, 6, -32, -4, 48, 28, 164, 40, 76, -28, 30, -48, 14, -6, 108, 114, -6, 48, 48, -64, -56, -8, -28, -36, 40, 26, 18, 74, -8, 4, 10, -20, 98, -66, 12, -188, 140, 10, -76, 66, 60, 18, -100, -26, -152, 24, 52, -164, 24, -4, 84, -4, 134, -62, -316, 36, -32, 56, -20, 14, -20, 0, -32, -24, 92, 0, 20, 36, -178, -18, -28, 20, 4, -60, -80, -120, 8, 30, 114, 10, -66, -110, 90, 60, -16, 6, 108, 48, -4, 6, -60, -36, 132, -12, -40, 20, 8, 6, -70, 32, -170, 44, -166, 10, -24, 60, -98, 36, 124, -4, 134, -16, 24, -4, 24, -8, 142, 0, -10, 46, -28, 28, 0, -76, -14, -2, -24, 36, -112, -78, -2, -50, -34, 18, 224, 128, -32, 92, 0, -4, 16, 6, 18, -100, 32, 34, 24, -56, 30, 2, -36, 40, 8, 104, -36, 38, -58, -4, 72, -16, -58, -44, 212, 20, 18, -60, 30, -30, -116, -16, -16, -92, 84, 14, -96, 2, 8, -16, -8, -4, 164, 4, 62, -172, 32, 4, 0, 2, 188, 6, -22, 0, -64, 0, 56, 162, -24, 10, 132, 94, -8, -20, 36, 38, -28, 20, -20, -92, 24, -12, 2, 6, -48, -2, 0, 116, -16, 68, -116, -54, 30, -20, -14, 0, 4, -2, 20, -72, 0, -10, 72, 16, -60, -4, -58, -24, 0, -12, 0, -70, -152, 32, -136, 188, -6, -96, 140, 2, 42, -16, -12, 176, -44, 6, -188, 20, 0, -6, -82, -62, 0, 28, 8, 44, 116, -6, -284, -128, 96, 32, 186, 48, 22, -28, 14, -160, 10, 18, -122, 22, 0, -56, 4, -22, -18, 10, 96, 0, -200, -30, -116, 10, 40, 52, -94, 52, 80, -6, -36, -92, -28, 2, -50, -130, -40, -116, 56, 38, -56, -18, -28, -76, -72, -30, 28, -12, 36, 14, 164, 6, -2, 8, 14, -34, 48, 2, -16, 20, 8, -104, 88, -28, -36, 10, -20, 136, -74, -4, -62, -4, -72, 86, -20, 4, -88, -36, -10, 80, 8, -4, 258, -116, 112, -22, -78, -24, 228, -32, 120, -16, -100, -52, 84, -12, 62, 8, -22, -60, 40, 38, 12, -28, -36, 0, 4, 44, -86, 62, 32, -16, -12, 0, 18, -122, 134, -14, 100, 36, 20, -64, -96, -30, 252, -60, -6, -72, 238, 22, -316, 72, -6, -64, 46, 44, 180, -84, -20, 6, -122, 12, -102, -88, 112, 24, -32, 124, 0, 8, -44, -180, 80, -50, -40, 74, -76, 20, 76, 4, -108, -36, 114, 14, 76, -52, -174, 46, 0, -42, 170, 20, -6, -4, -76, 12, -198, 2, -32, 172, 56, -74, -4, 88, 146, -46, -18, -76, -20, -18, 144, -76, 88, -12, 32, -6, -80, -6, -8, 12, 14, 8, 12, 72, -2, -8, -82, 8, -64, -28, 56, -16, 80, 4, 28, 56, 4, -36, 36, 62, 156, 34, 60, -180, -186, -28, 40, 116, 24, 16, -34, -14, 34, 12, 96, 124, -60, 16, -138, 48, -4, -4, 72, 48, -108, -56, 32, 32, -16, -6, -132, 106, -10, 32, 160, 6, 108, -42, -10, -58, -6, -60, 16, 40, -14, -48, 190, -20, 96, -74, -2, 150, 168, 8, -32, -28, 2, -42, -64, 28, 74, -20, 108, 68, -10, 20, 152, -12, -78, 28, -84, 28, -196, -2, 10, 50, -90, -6], "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, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0], [1, 0, -1, 0], [-1, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, -1], [1, -1, 1, -1], [-1, 0, 0, 0], [-1, -1, -1, 1], [-1, 0, 1, 0], [0, 0, 0, -1], [1, 0, 0, 0], [0, 0, 2, -1], [-1, 0, 0, 0], [1, -2, 1, 0], [0, 0, 0, 1], [-1, 0, 1, 0], [-1, 1, -1, 1], [1, 0, 0, 0], [1, 0, 0, 0], [2, -2, 1, 0], [1, 1, 1, -1], [-1, 0, 0, 0], [1, 0, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 1], [1, 1, -1, 1], [-1, 0, 0, 0], [-1, 1, -1, 1], [0, 0, -2, 1], [-3, 0, -1, 2], [1, 0, 0, 0], [2, -1, -2, -1], [-1, 2, -1, 0], [1, 1, 1, -1], [0, 0, 0, -1], [2, -1, 0, -1], [1, 0, -1, 0], [5, 0, 1, -2], [1, -1, 1, -1], [0, 0, 0, 1], [-1, 0, 0, 0], [3, 0, 1, 0], [-1, 0, 0, 0], [0, 2, -3, 0], [-2, 2, -1, 0], [0, 0, -2, 1], [-1, -1, -1, 1], [-1, 2, -3, 1], [1, 0, 0, 0], [-7, 1, -1, 3], [-1, 0, 1, 0], [-1, 2, -1, 0], [1, 0, 0, 0], [-7, 0, -1, 2], [0, 0, 0, -1], [8, 2, 0, -2], [-1, -1, 1, -1], [1, 0, -1, 0], [1, 0, 0, 0], [1, -3, -1, 3], [1, -1, 1, -1], [5, 0, 1, 3], [0, 0, 2, -1], [-1, 0, 0, 0], [3, 0, 1, -2], [5, 1, -1, 3], [-1, 0, 0, 0], [2, 0, 4, 0], [-2, 1, 2, 1], [-2, 2, -1, 0], [1, -2, 1, 0], [3, -3, 5, -3], [-1, -1, -1, 1], [0, 1, -4, 2], [0, 0, 0, 1], [1, 0, 0, 0], [-2, 1, 0, 1], [5, -2, 1, 1], [-1, 0, 1, 0], [-1, 2, 1, -2], [-5, 0, -1, 2], [1, 0, 0, 0], [-1, 1, -1, 1], [-9, 2, -5, 1], [0, 0, 0, -1], [7, 1, 1, 1], [1, 0, 0, 0], [-1, -1, 1, -1], [-3, 0, -1, 0], [-3, -2, -1, 6], [1, 0, 0, 0], [-9, 2, -1, 1], [0, -2, 3, 0], [1, -1, 1, -1], [2, -2, 1, 0]]}