# Stored data for newform 7406.2.a.bl, downloaded from the LMFDB on 08 October 2026.
{"Nk2": 29624, "analytic_conductor": 59.13720773696025, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [23, -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": [7406, 1, [2117, 3179], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 84770496, "field_disc_factorization": [[2, 6], [3, 3], [49057, 1]], "field_poly": [1, -28, 6, 24, -10, -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": [[3, [1, -28, 6, 24, -10, -2, 1]], [5, [-128, -176, 77, 54, -15, -4, 1]], [11, [52, -224, 357, -264, 95, -16, 1]]], "hecke_orbit": 38, "hecke_orbit_code": 166633186246270190, "hecke_ring_generator_nbound": 17, "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": true, "label": "7406.2.a.bl", "level": 7406, "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, 23], "level_radical": 322, "minimal_twist": "7406.2.a.bk", "nf_label": "6.6.84770496.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+\\beta _{1}q^{3}+q^{4}+(1+\\beta _{4})q^{5}+\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7406.2.a", "trace_display": [6, 2, 4, 6], "trace_hash": 1351425889249046004, "trace_moments": [{"__RealLiteral__": 0, "data": "0.037", "prec": 7}, {"__RealLiteral__": 0, "data": "5.567", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "89.573", "prec": 17}, 0, {"__RealLiteral__": 0, "data": "2292.743", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 4}, "traces": [0, 6, 6, 2, 6, 4, 2, 6, 6, 6, 4, 16, 2, 0, 6, 0, 6, 2, 6, 18, 4, 2, 16, 0, 2, 16, 0, -16, 6, 4, 0, -2, 6, -18, 2, 4, 6, 4, 18, 6, 4, 0, 2, 8, 16, 42, 0, 8, 2, 6, 16, 4, 0, -8, -16, 12, 6, 28, 4, 2, 0, 28, -2, 6, 6, 24, -18, 16, 2, 0, 4, -10, 6, -28, 4, -32, 18, 16, 6, 16, 4, -2, 0, 24, 2, 2, 8, -20, 16, -46, 42, 0, 0, -2, 8, -2, 2, 2, 6, 28, 16, -26, 4, 26, 0, 0, -8, 64, -16, -20, 12, 62, 6, 12, 28, 0, 4, -18, 2, 2, 0, 0, 28, -10, -2, 42, 6, 20, 6, -50, 24, -68, -18, 18, 16, -80, 2, 28, 0, -28, 4, -54, -10, -6, 6, -8, -28, 2, 4, 8, -32, -18, 18, 38, 16, -44, 6, 24, 16, 28, 4, 0, -2, 0, 0, -54, 24, 16, 2, 24, 2, 10, 8, 4, -20, 16, 16, 34, -46, -18, 42, 2, 0, 28, 0, 30, -2, 2, 8, -16, -2, 4, 2, 46, 2, 90, 6, 6, 28, 62, 16, -28, -26, 4, 4, 0, 26, 0, 0, 26, 0, 36, -8, -10, 64, 14, -16, -2, -20, 12, 12, -12, 62, -16, 6, 52, 12, -80, 28, 26, 0, -18, 4, 4, -18, 60, 2, -50, 2, 6, 0, 58, 0, -66, 28, 4, -10, -60, -2, 36, 42, 0, 6, 0, 20, -6, 6, 82, -50, 4, 24, 56, -68, 52, -18, -80, 18, -8, 16, 18, -80, -4, 2, 6, 28, 80, 0, 2, -28, 8, 4, -12, -54, -28, -10, -2, -6, 0, 6, 8, -8, 68, -28, -14, 2, 0, 4, -64, 8, 0, -32, 8, -18, -38, 18, 56, 38, -28, 16, 92, -44, 10, 6, -18, 24, 42, 16, 42, 28, 32, 4, 52, 0, -26, -2, 54, 0, -34, 0, 8, -54, 6, 24, -16, 16, -12, 2, 12, 24, -76, 2, -4, 10, 6, 8, 0, 4, 30, -20, -2, 16, 18, 16, -28, 34, 70, -46, 4, -18, -16, 42, 28, 2, -152, 0, -88, 28, -32, 0, -62, 30, -8, -2, -48, 2, -72, 8, -84, -16, 48, -2, 56, 4, 72, 2, 12, 46, 44, 2, -4, 90, 0, 6, -12, 6, -30, 28, -42, 62, 28, 16, 24, -28, -162, -26, 4, 4, -50, 4, 24, 0, -24, 26, 2, 0, 46, 0, 18, 26, -50, 0, -24, 36, 50, -8, -36, -10, 28, 64, 36, 14, -12, -16, 26, -2, -116, -20, 0, 12, -30, 12, 6, -12, -46, 62, -30, -16, 110, 6, 50, 52, 10, 12, -34, -80, 24, 28, -8, 26, 20, 0, 36, -18, -4, 4, -122, 4, -2, -18, 16, 60, 88, 2, 74, -50, -16, 2, -64, 6, -32, 0, 18, 58, 0, 0, -102, -66, 26, 28, 32, 4, 72, -10, 72, -60, 206, -2, -10, 36, 106, 42, 8, 0, 28, 6, -12, 0, 124, 20, -42, -6, -28, 6, -52, 82, -8, -50, 78, 4, 12, 24, -2, 56, -70, -68, -32, 52, -12, -18, 0, -80, 52, 18, 54, -8, 22, 16, -38, 18, 16, -80, 30, -4, -96, 2, -100, 6, -70, 28, 64, 80, 24, 0, 16, 2, 112, -28, -48, 8, -18, 4, -32, -12, -58, -54, -124, -28, -2, -10, -32, -2, 48, -6, 20, 0, 0, 6, 38, 8, 66, -8, 24, 68, -52, -28, -48, -14, 44, 2, 108, 0, -62, 4, -20, -64, 2, 8, 40, 0, 40, -32, -84, 8, -28, -18, 46, -38, -66, 18, -20, 56, 30, 38, -56, -28, 34, 16, -108, 92, -86, -44, 0, 10, -46, 6, -46, -18, 20, 24, -50, 42, 8, 16, 40, 42, 32, 28, 0, 32, 164, 4, -56, 52, 2, 0, -132, -26, 114, -2, -28, 54, -2, 0, 24, -34, 20, 0, -108, 8, 56, -54, 68, 6, -72, 24, -2, -16, 0, 16, -44, -12, 56, 2, 42, 12, -144, 24, 6, -76, 2, 2, -32, -4, 92, 10, -116, 6, -40, 8, 12, 0, -116, 4, 28, 30, -24, -20, -136, -2, 4, 16, -4, 18, 90, 16, -138, -28, -26, 34, -32, 70, -60, -46, 0, 4, -18, -18, -114, -16, -10, 42, 26, 28, -28, 2, -20, -152, 68, 0, 0, -88, -16, 28, 70, -32, 0, 0, 76, -62, -64, 30, -60, -8, 60, -2, -82, -48, 38, 2, 64, -72, -84, 8, -44, -84, -158, -16, 24, 48, 0, -2, -4, 56, -20, 4, 16, 72, -48, 2, -66, 12, 10, 46, 104, 44, -98, 2, 62, -4, -8, 90, -20, 0, -32, 6, -88, -12, 70, 6, -76, -30, 12, 28, -60, -42, 148, 62, -62, 28, -20, 16, -62, 24, -96, -28, 0, -162, -66, -26, -4, 4, -12, 4, 42, -50, 36, 4, -8, 24, -18, 0, 110, -24, 18, 26, -196, 2, 24, 0, 20, 46, 46, 0, 2, 18, -76, 26, -20, -50, -68, 0, -46, -24, -34, 36, 50, 50, 0, -8, 72, -36, 0, -10, 90, 28, 76, 64, 38, 36, 76, 14, -10, -12, -84, -16, -12, 26, 36, -2, 98, -116, 72, -20, -54, 0, 42, 12, 72, -30, 0, 12, -56, 6, 14, -12, 20, -46, -170, 62, 20, -30, 108, -16, -92, 110, -48, 6, 0, 50, 104, 52, 144, 10, -50, 12, 94, -34, 12, -80, -48, 24, -68, 28, 36, -8, -60, 26, -68, 20, -116, 0, 52, 36, -138, -18, -36, -4, -124, 4, 18, -122, 18, 4, 114, -2, 12, -18, 112, 16, 36, 60, 34, 88, 0, 2, -80, 74, -106, -50, 18, -16, -58, 2, -56, -64, -106, 6, -128, -32, 28, 0, 86, 18, -4, 58, -48, 0, 62, 0, 102, -102, 82, -66, -28, 26, 198, 28, -88, 32, -130, 4, -156, 72, -2, -10, -50, 72, -54, -60, 0, 206, -8, -2, 66, -10, -70, 36, -146, 106, -34, 42, -6, 8, 140, 0, 28, 28, -72, 6, 96, -12, -114, 0, -244, 124, -8, 20, -76, -42, 136, -6, -38, -28, -8, 6, 82, -52, 18, 82, 2, -8, -76, -50, -12, 78, 0, 4, -12, 12, -72, 24, -158, -2, 8, 56, -4, -70, -92, -68, -44, -32, -18, 52, -60, -12, 10, -18, -18, 0, 28, -80, -8, 52, 86, 18, -228, 54, -62, -8, 42, 22, 38, 16, -92, -38, 108, 18, 22, 16, -84, -80, 0, 30, 112, -4, -44, -96, 70, 2, 136, -100, 14, 6, 76, -70, 130, 28, -86, 64, 24, 80, 72, 24, 112, 0, -114, 16, -18, 2, -38, 112, -40, -28, 28, -48, 12, 8, -28, -18, 110, 4, 36, -32, -102, -12, 74, -58, 0, -54, -86, -124, -108, -28, -14, -2, 96, -10, -42, -32, -2, -2, 0, 48, 22, -6, -48, 20, 10, 0, -100, 0, 22, 6, -34, 38, -54, 8, -48, 66, 140, -8, -82, 24, -82, 68, -330, -52, 10, -28, 16, -48, -8, -14, 0, 44, 202, 2, 140, 108, 20, 0, -20, -62, 24, 4, -52, -20, -4, -64, -124, 2, 74, 8, 60, 40, -150, 0, 10, 40, -26, -32, 112, -84, 10, 8, 60, -28, 144, -18, -246, 46, 4, -38, 88, -66, -52, 18, -168, -20, 0, 56, 190, 30, 64, 38, 16, -56, 2, -28, -28, 34, -58, 16, -84, -108, 138, 92, 6, -86, 34, -44, 16, 0, 112, 10, -58, -46, 60, 6, 16, -46, -46, -18, -18, 20, 326, 24, -56, -50, -4, 42, -60, 8, -72, 16, 0, 40, 2, 42, -170, 32, -46, 28, -54, 0, -120, 32, 28, 164, 126, 4, 28, -56, 76, 52, 184, 2, -90, 0, 18, -132, 44, -26, -122, 114, 30, -2, 72, -28, -16, 54, -52, -2, -56, 0, 168, 24, 34, -34, 2, 20, 0, 0, -30, -108, 54, 8, -128, 56, -46, -54, 4, 68, -16, 6, -176, -72, -12, 24, -130, -2, -24, -16, 6, 0, -34, 16, 4, -44, 204, -12, -104, 56, -138, 2, 8, 42, 98, 12, 4, -144, 46, 24, 32, 6, -168, -76, 0, 2, -180, 2, -170, -32, -20, -4, 90, 92, 84, 10, 6, -116, -158, 6, 32, -40, 198, 8, -100, 12, 6, 0, -82, -116, -156, 4, -138, 28, -88, 30, 148, -24, 84, -20, 62, -136, 12, -2, 4, 4, 118, 16, -104, -4, 0, 18, 20, 90, -28, 16, 4, -138, -84, -28, -144, -26, 64, 34, -30, -32, -218, 70, 4, -60, 172, -46, -80, 0, 44, 4, -6, -18, 232, -18, 58, -114, 0, -16, 56, -10, 132, 42, -192, 26, 12, 28, -160, -28, -50, 2, 0, -20, 90, -152, -62, 68, 178, 0, -50, 0, 50, -88, -46, -16, 26, 28, 18, 70, -38, -32, -120, 0, -48, 0, -36, 76, -114, -62, 36, -64, 76, 30, -176, -60, 50, -8, -370, 60, 98, -2, 184, -82, -10, -48, 112, 38, 0, 2, -74, 64, 10, -72, 10, -84, -60, 8, 14, -44, 108, -84, -68, -158, -186, -16, -76, 24, -94, 48, 50, 0, -2, -2, 6, -4, 44, 56, 76, -20, -162, 4, -102, 16, -4, 72, 12, -48, -36, 2, 32, -66, -44, 12, 0, 10, -78, 46, 396, 104, -12, 44, 152, -98, -236, 2, -94, 62, 4, -4, 64, -8, -98, 90, -16, -20, -124, 0, 152, -32, -134, 6, 84, -88, 44, -12, -54, 70, 52, 6, 188, -76, -36, -30, 106, 12, -68, 28, 130, -60, 0, -42, -80, 148, -128, 62, 34, -62, 92, 28, -84, -20, 114, 16, -120, -62, 26, 24, 166, -96, -44, -28, -52, 0, 20, -162, 140, -66, 168, -26, -18, -4, 54, 4, 112, -12, -94, 4, -72, 42, -38, -50, 214, 36, 4, 4, 0, -8, 2, 24, -22, -18, -86, 0, 98, 110, -40, -24, 60, 18, -192, 26, 144, -196, -36, 2, 68, 24, -124, 0, -130, 20, -50, 46, -20, 46, 48, 0, -198, 2, 192, 18, 146, -76, -150, 26, 6, -20, 108, -50, 84, -68, 0, 0, -32, -46, 82, -24, -126, -34, 58, 36, -116, 50, -96, 50, 148, 0, -148, -8, 8, 72, 86, -36, -66, 0, 90, -10, -10, 90, 116, 28, 40, 76, 104, 64, -208, 38, 4, 36, -216, 76, -108, 14, -188, -10, 48, -12, 0, -84, -16, -16, -60, -12, -28, 26, 10, 36, 76, -2, 22, 98, -58, -116, -92, 72, 36, -20, -248, -54, -148, 0, 172, 42, -66, 12, -50, 72, -66, -30, 0, 0, -48, 12, -16, -56, 14, 6, 204, 14, 86, -12, 16, 20, 0, -46, 88, -170, -34, 62, 0, 20, 208, -30, -108, 108, 216, -16, -6, -92, 180, 110, -68, -48, -46, 6, -32, 0, -90, 50, 68, 104, 82, 52, 40, 144, -64, 10, -248, -50, -132, 12, 20, 94, -24, -34, 4, 12, -404, -80, 0, -48, 12, 24, 138, -68, 18, 28, -176, 36, 56, -8, 44, -60, 96, 26, 78, -68, -56, 20, 40, -116, -112, 0, 52, 52, 92, 36, -44, -138, 138, -18, -112, -36, 28, -4, -230, -124, -80, 4, 104, 18, -52, -122, 148, 18, 0, 4, 96, 114, 60, -2, -8, 12, -82, -18, -48, 112, -90, 16, -44, 36, 124, 60, -2, 34, 18, 88, -204, 0, 78, 2, 52, -80, 112, 74, -54, -106, 46, -50, -4, 18, 16, -16, -72, -58, 0, 2, 44, -56, -166, -64, 0, -106, 6, 6, -122, -128, 70, -32, -174, 28, 16, 0, -82, 86, -48, 18, 80, -4, 134, 58, -268, -48, -122, 0, -10, 62, 310, 0, -150, 102, 2, -102, 104, 82, -32, -66, -170, -28, 44, 26, -30, 198, 16, 28, 8, -88, 0, 32, 70, -130, -16, 4, -68, -156, -54, 72, 46, -2, -12, -10, -16, -50, 242, 72, -34, -54, 148, -60, 236, 0, -278, 206, -28, -8, 196, -2, -12, 66, -34, -10, -96, -70, 102, 36, -24, -146, -2, 106, 44, -34, 224, 42, 0, -6, -48, 8, -86, 140, 64, 0, 0, 28, -64, 28, -64, -72, -102, 6, -72, 96, 70, -12, 82, -114, 8, 0, 182, -244, 20, 124, 52, -8, 148, 20, 168, -76, -22, -42, 68, 136, 116, -6, 168, -38, -48, -28, 192, -8, 0, 6, 120, 82, -14, -52, 150, 18, -40, 82, 16, 2, 188, -8, -144, -76, -154, -50, 0, -12, -216, 78, -36, 0, 10, 4, 32, -12, 54, 12, -128, -72, -64, 24, -52, -158, 102, -2, -72, 8, 12, 56, 192, -4, -160, -70, 0, -92, -150, -68, -282, -44, -28, -32, -8, -18, -202, 52, -40, -60, 8, -12, 118, 10, -164, -18, 76, -18, 184, 0, -40, 28, 0, -80, -38, -8, 72, 52, -60, 86, 248, 18, -22, -228, -82, 54, -34, -62, 56, -8, 32, 42, 0, 22, -88, 38, 134, 16, 246, -92, 50, -38, -28, 108, -78, 18, -120, 22, -6, 16, -278, -84, -114, -80, 68, 0, 92, 30, 206, 112, 80, -4, 164, -44, -48, -96, -148, 70, -336, 2, 10, 136, 84, -100, 44, 14, 12, 6, 0, 76, 154, -70, 146, 130, -18, 28, -68, -86, 4, 64, -54, 24, 244, 80, 182, 72, -6, 24, 42, 112, 124, 0, 228, -114, -104, 16, 92, -18, -36, 2, 140, -38, 42, 112, 252, -40, 0, -28, -120, 28, 80, -48, 146, 12, 0, 8, 32, -28, 152, -18, -10, 110, -174, 4, -196, 36, -30, -32, 88, -102, 52, -12, 24, 74, 116, -58, 44, 0, -34, -54, 156, -86, 294, -124, -26, -108, -16, -28, 36, -14, 6, -2, -256, 96, 28, -10, -260, -42, 54, -32, 0, -2, -120, -2, -60, 0, -180, 48, 16, 22, 74, -6, -34, -48, -60, 20, -24, 10, -30, 0, -240, -100, -140, 0, -132, 22, 8, 6, -28, -34, 8, 38, 34, -54, 84, 8, 236, -48, 60, 66, 6, 140, 20, -8, 68, -82, 0, 24, -228, -82, 0, 68, -70, -330, -16, -52, 12, 10, -74, -28, -148, 16, -244, -48, -16, -8, -164, -14, -12, 0, -136, 44, 88, 202, -28, 2, 48, 140, 432, 108, 6, 20, 12, 0, 124, -20, -92, -62, 174, 24, 8, 4, 0, -52, -46, -20, -76, -4, 80, -64, 236, -124, -60, 2, -222, 74, 20, 8, -300, 60, -4, 40, 272, -150, 36, 0, -56, 10, -182, 40, -232, -26, 134, -32, 6, 112, 64, -84, 336, 10, -16, 8, 228, 60, 66, -28, 246, 144, 0, -18, 52, -246, -224, 46, -152, 4, -32, -38, -280, 88, 192, -66, 30, -52, 36, 18, 114, -168, 234, -20, -28, 0, -166, 56, -116, 190, -2, 30, 28, 64, 18, 38, -6, 16, -96, -56, -4, 2, 168, -28, 18, -28, 168, 34, 0, -58, -70, 16, 84, -84, -6, -108, -218, 138, -28, 92, 158, 6, 396, -86, -148, 34, -108, -44, -226, 16, 132, 0, 70, 112, 60, 10, -240, -58, -140, -46, -206, 60, 120, 6, -208, 16, 4, -46, 28, -46, -68, -18, 44, -18, 0, 20, -132, 326, 76, 24, -16, -56, -4, -50, 144, -4, 118, 42, -44, -60, -10, 8, 22, -72, 28, 16, 140, 0, 114, 40, -114, 2, 144, 42, -64, -170, -222, 32, -152, -46, -30, 28, -220, -54, -104, 0, 140, -120, 112, 32, 0, 28, -88, 164, -28, 126, -112, 4, -66, 28, 8, -56, -6, 76, -88, 52, -32, 184, 26, 2, 176, -90, 2, 0, -170, 18, 128, -132, -64, 44, -62, -26, 318, -122, 24, 114, 144, 30, 140, -2, 58, 72, 60, -28, -8, -16, 0, 54, -216, -52, 142, -2, 90, -56, -138, 0, -122, 168, -48, 24, 84, 34, 2, -34, -128, 2, 256, 20, 74, 0, -24, 0, -72, -30, 0, -108, 132, 54, -172, 8, -224, -128, 186, 56, 58, -46, -84, -54, 28, 4, -20, 68, 0, -16, 174, 6, -14, -176, 202, -72, 48, -12, -36, 24, 146, -130, 56, -2, -12, -24, -16, -16, 174, 6, 56, 0, 112, -34, 38, 16, -192, 4, 136, -44, 178, 204, -116, -12, 72, -104, 52, 56, -28, -138, -148, 2, 192, 8, 0, 42, 4, 98, 12, 12, 192, 4, 138, -144, -42, 46, 76, 24, -30, 32, -236, 6, 44, -168, -72, -76, -52, 0, -238, 2, -120, -180, 0, 2, 118, -170, -4, -32, -36, -20, -28, -4, 250, 90, 80, 92, 58, 84, -214, 10, 0, 6, -2, -116, -66, -158, 66, 6, 128, 32, 80, -40, 140, 198, -12, 8, 48, -100, 4, 12, 50, 6, 128, 0, 44, -82, -32, -116, -30, -156, -96, 4, -162, -138, -154, 28, -188, -88, 266, 30, -200, 148, -42, -24, 144, 84, 0, -20, 84, 62, 176, -136, 184, 12, 12, -2, 28, 4, -156, 4, 44, 118, -84, 16, -46, -104, 220, -4, -40, 0, 24, 18, 98, 20, 188, 90, 96, -28, -252, 16, 28, 4, -256, -138, -162, -84, -208, -28, 16, -144, 236, -26, 0, 64, 306, 34, 96, -30, 4, -32, 36, -218, 4, 70, 134, 4, 132, -60, 110, 172, -126, -46, -50, -80, -144, 0, 192, 44, -26, 4, -152, -6, 256, -18, -20, 232, 24, -18, 278, 58, 196, -114, -60, 0, 260, -16, 22, 56, 0, -10, -24, 132, -52, 42, 70, -192, 334, 26, -4, 12, -196, 28, -62, -160, 2, -28, 232, -50, 48, 2, 48, 0, 72, -20, 46, 90, -266, -152, 46, -62, 286, 68, -64, 178, -238, 0, 128, -50, -388, 0, 74, 50, 18, -88, 0, -46, -88, -16, -108, 26, 22, 28, -72, 18, -38, 70, -50, -38, 352, -32, 176, -120, 118, 0, 200, -48, 120, 0, -278, -36, -24, 76, -160, -114, 264, -62, 2, 36, -140, -64, 124, 76, 120, 30, 50, -176, 68, -60, 168, 50, 0, -8, -104, -370, 48, 60, 44, 98, -36, -2, 144, 184, -206, -82, -54, -10, 0, -48, 174, 112, -232, 38, 28, 0, 2, 2, -18, -74, 80, 64, -252, 10, 372, -72], "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, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 1, 0], [3, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 1], [1, 0, 0, 0, 0, 0], [-1, 2, 0, -1, -1, 1], [1, 0, 0, 0, 0, 0], [-1, 1, -1, 2, 0, 1], [1, 0, 0, 1, 1, 0], [3, 1, 1, 0, 0, -1], [1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [3, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [4, -2, 0, -1, 1, 0], [0, 0, 0, -1, 0, 1], [-4, 1, 0, 0, -2, 1], [1, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0], [-1, 2, 0, -1, -1, 1], [0, 0, 0, 1, 0, -2], [1, 0, 0, 0, 0, 0], [-4, 3, 0, -1, -1, 0], [-1, 1, -1, 2, 0, 1], [1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0], [1, 2, 0, -1, 1, -1], [3, 1, 1, 0, 0, -1], [2, -1, 2, -2, 1, 1], [1, 0, 0, 0, 1, 0], [2, -2, 0, -3, 0, -1], [0, 1, 0, 0, 0, 0], [2, -2, 1, 0, 0, 0], [3, -1, 0, 0, 0, 0], [8, -3, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0], [4, -4, -4, -1, 2, -1], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [4, -2, 0, -1, 1, 0], [-1, 3, 1, 2, 0, 0], [0, 0, 0, -1, 0, 1], [-4, 2, -2, 2, -2, 2], [-4, 1, 0, 0, -2, 1], [4, -2, 0, 1, 4, -1], [1, 0, 0, 0, 0, 0], [3, 3, -1, 2, 0, 0], [0, 0, 0, 2, 0, 0], [-2, 3, 0, 3, 0, 1], [-1, 2, 0, -1, -1, 1], [6, 0, -2, 0, 2, -2], [0, 0, 0, 1, 0, -2], [1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0], [5, 2, 0, -3, 1, -1], [-4, 3, 0, -1, -1, 0], [3, -2, -1, -1, -1, 1], [-1, 1, -1, 2, 0, 1], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0], [-2, 1, -2, 4, 3, -1], [1, 0, 0, 1, 1, 0], [-6, 1, 0, 0, -2, 1], [1, 2, 0, -1, 1, -1], [-6, 3, 0, -4, -2, 1], [3, 1, 1, 0, 0, -1], [3, -1, 0, 0, 0, 0], [2, -1, 2, -2, 1, 1], [5, -4, 0, -3, -1, -1], [1, 0, 0, 0, 1, 0], [2, -5, 2, -1, 0, -1], [2, -2, 0, -3, 0, -1], [6, 0, -1, -1, 2, -3], [0, 1, 0, 0, 0, 0], [0, 1, 6, 0, -1, -1], [2, -2, 1, 0, 0, 0], [-6, 4, 0, 2, -2, 0], [3, -1, 0, 0, 0, 0], [-6, -1, -2, -1, 1, -2], [8, -3, 2, 1, 1, 0], [0, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0], [-1, 0, -4, 3, -1, -2], [4, -4, -4, -1, 2, -1], [-2, 1, -2, 2, 1, 3], [0, 1, 0, 0, 0, 0], [-4, 5, 2, 3, -3, 2], [1, 0, 0, 0, 0, 0], [7, -4, 0, 3, 5, -1], [4, -2, 0, -1, 1, 0]]}