# Stored data for newform 1665.2.a.t, downloaded from the LMFDB on 09 January 2025.
{"Nk2": 6660, "analytic_conductor": 13.295091936543184, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, 1], [37, 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": [1665, 1, [371, 667, 631], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 95034688, "field_disc_factorization": [[2, 6], [7, 1], [212131, 1]], "field_poly": [1, -12, 16, 12, -8, -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": [[2, [1, 12, 16, -12, -8, 2, 1]], [7, [-16, 40, 3, -36, -8, 4, 1]]], "hecke_orbit": 20, "hecke_orbit_code": 85568392953595521, "hecke_ring_generator_nbound": 2, "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": "1665.2.a.t", "level": 1665, "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": [3, 5, 37], "level_radical": 555, "minimal_twist": "1665.2.a.t", "nf_label": "6.6.95034688.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{1}+\\beta _{2})q^{4}-q^{5}+(-1+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1665.2.a", "trace_display": [-2, 0, -6, -4], "trace_hash": 89449430636712730, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.394", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "85.080", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2116.025", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "traces": [0, 6, -2, 0, 8, -6, 0, -4, -12, 0, 2, -4, 0, -6, 6, 0, 16, -8, 0, 16, -8, 0, -10, -10, 0, 6, -12, 0, -12, -6, 0, 14, -36, 0, 2, 4, 0, -6, -14, 0, 12, -20, 0, -14, -12, 0, -6, -8, 0, -10, -2, 0, -20, -12, 0, 4, -10, 0, -16, -12, 0, -10, -34, 0, 10, 6, 0, -4, -10, 0, -6, -16, 0, -12, 2, 0, 34, -2, 0, -6, -16, 0, 2, 6, 0, 8, 40, 0, 8, -6, 0, 6, 26, 0, -8, -16, 0, -22, 6, 0, 8, -8, 0, -2, 8, 0, -4, -32, 0, 28, 10, 0, 4, -6, 0, 10, -14, 0, 12, -18, 0, 28, 50, 0, 6, -6, 0, -16, -18, 0, 12, -26, 0, -46, -24, 0, 38, -26, 0, -18, 12, 0, 4, -58, 0, 6, 42, 0, -8, -20, 0, 28, -18, 0, -50, -14, 0, -48, 4, 0, 36, 6, 0, 8, -20, 0, 26, -20, 0, 30, -2, 0, -90, -8, 0, -4, 76, 0, -12, -46, 0, 26, 82, 0, -28, 6, 0, -6, -18, 0, 14, -64, 0, -24, 80, 0, 6, -12, 0, -2, -12, 0, -60, 0, 0, 20, -44, 0, -46, 10, 0, 10, 48, 0, 12, 14, 0, -18, -14, 0, 12, 20, 0, 16, -16, 0, 56, 24, 0, 12, 6, 0, 4, 48, 0, 8, 54, 0, -36, -58, 0, 2, -24, 0, -78, 10, 0, -32, -36, 0, 2, -10, 0, -16, 14, 0, 84, 36, 0, 4, 20, 0, -16, -26, 0, 12, 52, 0, 60, 4, 0, 32, -14, 0, -46, -4, 0, -16, 18, 0, 10, -18, 0, 26, 4, 0, 108, -16, 0, -28, 16, 0, -100, 4, 0, 12, 12, 0, 90, 12, 0, -32, 92, 0, 6, 10, 0, -36, 90, 0, 34, -20, 0, -78, 66, 0, 96, 36, 0, -42, -10, 0, -48, -38, 0, -6, 28, 0, 58, 24, 0, 16, 46, 0, -118, 4, 0, -20, 10, 0, 10, 36, 0, 4, 176, 0, 76, -28, 0, 18, 6, 0, -102, 78, 0, 16, 96, 0, 36, -112, 0, 16, 114, 0, -46, 12, 0, -64, 48, 0, -2, 112, 0, 4, 72, 0, -6, 94, 0, 30, -34, 0, 68, -106, 0, 2, -44, 0, 8, 48, 0, 54, 34, 0, -52, 6, 0, -20, 118, 0, 16, -8, 0, 12, 44, 0, 114, 4, 0, 32, -2, 0, 36, -2, 0, -6, 192, 0, 28, 12, 0, -78, 26, 0, -152, -8, 0, -30, -44, 0, -40, -64, 0, 0, 88, 0, 142, -66, 0, 36, -8, 0, -64, 24, 0, 6, 6, 0, 124, 72, 0, 18, -36, 0, -88, -6, 0, -20, 20, 0, -26, -34, 0, -28, -68, 0, 32, -10, 0, 26, 8, 0, -28, 78, 0, 16, -42, 0, 80, -22, 0, 6, -16, 0, -48, 22, 0, 12, 168, 0, -6, -72, 0, -20, -100, 0, 72, -26, 0, 64, -8, 0, 40, 4, 0, 8, 20, 0, -108, -20, 0, 26, -116, 0, -102, 2, 0, 108, -6, 0, -8, 32, 0, -44, 56, 0, 114, -58, 0, -42, 4, 0, -82, 18, 0, 32, -106, 0, 94, -64, 0, 34, 40, 0, 76, -28, 0, -52, -76, 0, -10, 20, 0, -24, 80, 0, -32, -2, 0, -54, -4, 0, 88, -16, 0, 6, -72, 0, 42, -2, 0, -8, -40, 0, -16, -10, 0, 26, 84, 0, 14, -32, 0, -24, 128, 0, 56, -6, 0, 94, -12, 0, -16, 8, 0, 18, -88, 0, 14, -16, 0, -4, -114, 0, -126, -28, 0, -98, -44, 0, -50, -66, 0, -40, -54, 0, -46, 30, 0, 104, -6, 0, -16, -58, 0, 6, 132, 0, -124, 8, 0, 42, -62, 0, -56, 16, 0, 56, 106, 0, 18, 92, 0, 32, -4, 0, 22, -24, 0, -12, -12, 0, -40, -68, 0, 26, -68, 0, -26, -72, 0, -62, -50, 0, 6, 46, 0, -28, 66, 0, 24, -16, 0, -36, -202, 0, 98, 90, 0, 30, -38, 0, 20, -16, 0, 26, 30, 0, -120, -4, 0, 32, -198, 0, -68, 18, 0, 50, -178, 0, -12, -20, 0, -16, 144, 0, -18, -26, 0, 56, -4, 0, -44, -84, 0, 58, -192, 0, 22, -36, 0, 98, -88, 0, -6, -6, 0, -86, 108, 0, -42, 92, 0, -12, -128, 0, -42, 44, 0, -22, 8, 0, -40, -102, 0, 20, 16, 0, 16, 68, 0, -22, 58, 0, -10, -28, 0, 62, -146, 0, 18, -16, 0, -46, -240, 0, 84, -54, 0, 48, 50, 0, -68, -8, 0, 14, 64, 0, 24, -18, 0, -44, 54, 0, -150, 48, 0, 12, -22, 0, -4, -24, 0, 4, 122, 0, -110, 6, 0, -64, -36, 0, -172, -70, 0, -6, 50, 0, -70, 48, 0, 102, -42, 0, 10, -8, 0, -28, -98, 0, 20, 84, 0, -8, -176, 0, -28, -2, 0, -8, -26, 0, -142, 8, 0, 20, -196, 0, 44, 84, 0, -48, 46, 0, -50, -30, 0, -32, 132, 0, 2, 10, 0, -20, -64, 0, 20, 62, 0, 84, 90, 0, -12, -134, 0, 8, -56, 0, 0, -66, 0, -52, -138, 0, 42, 4, 0, -16, 32, 0, -76, -80, 0, -50, -24, 0, 8, 16, 0, 54, 12, 0, 0, 16, 0, 46, -62, 0, -20, 60, 0, -76, 90, 0, 122, -26, 0, 4, 60, 0, -82, -34, 0, -104, -180, 0, 28, 122, 0, 12, 28, 0, 140, 48, 0, -6, -76, 0, 204, 16, 0, 40, 30, 0, 0, 6, 0, 48, -130, 0, 18, -88, 0, 34, -58, 0, 38, -56, 0, 98, -14, 0, 72, 24, 0, 64, -168, 0, 0, -28, 0, -34, 12, 0, -76, 24, 0, -24, 28, 0, -80, 0, 0, 64, 52, 0, -196, 6, 0, 30, -6, 0, 2, -22, 0, 12, -82, 0, 116, -16, 0, 22, -42, 0, 98, 2, 0, 36, -64, 0, 12, 88, 0, -24, 46, 0, -228, -148, 0, -28, 60, 0, 154, 122, 0, 0, 84, 0, 172, -54, 0, -18, 46, 0, 144, -20, 0, -32, 218, 0, 44, -150, 0, -56, -98, 0, 12, 98, 0, 114, 46, 0, 28, 108, 0, -10, 44, 0, -168, -58, 0, -68, -236, 0, -2, -10, 0, 44, 18, 0, -48, 88, 0, -88, 28, 0, -34, -14, 0, 168, -12, 0, 240, 6, 0, -14, -28, 0, 124, 0, 0, -50, 234, 0, 132, 18, 0, -18, -172, 0, 14, 16, 0, -78, 56, 0, 84, 52, 0, 12, -12, 0, -146, -134, 0, -20, -120, 0, 28, 188, 0, -68, 4, 0, -8, -16, 0, 132, -98, 0, 16, 28, 0, -50, -6, 0, 30, 0, 0, 22, -56, 0, 118, 90, 0, -24, -188, 0, 80, 52, 0, -100, -192, 0, 118, -12, 0, -14, -14, 0, -6, 0, 0, 28, -172, 0, -118, -96, 0, -38, -4, 0, 46, 56, 0, -48, -204, 0, -224, -50, 0, -22, 126, 0, -46, -8, 0, 44, -174, 0, -54, 136, 0, -160, 36, 0, 24, 2, 0, 24, 36, 0, 90, 40, 0, 58, -160, 0, 238, -226, 0, -24, -100, 0, 14, -2, 0, -24, 146, 0, 24, 72, 0, -62, 116, 0, -76, 106, 0, 96, 78, 0, 196, 30, 0, -10, 52, 0, -12, 64, 0, -8, 48, 0, -234, 32, 0, 72, 32, 0, 36, 26, 0, -126, -28, 0, -162, -86, 0, 84, -2, 0, -218, 34, 0, 10, 226, 0, -2, 176, 0, -132, -184, 0, 62, 16, 0, 44, -44, 0, -14, -38, 0, -104, -148, 0, -122, 24, 0, 20, -84, 0, -26, 106, 0, -36, 48, 0, 20, -26, 0, -92, 66, 0, -172, -4, 0, 70, -26, 0, -20, 72, 0, -128, 160, 0, -28, 74, 0, 126, 16, 0, 160, 152, 0, 26, 156, 0, -86, -6, 0, -84, -70, 0, -42, -12, 0, -88, -164, 0, -52, 132, 0, -64, 20, 0, -114, 128, 0, -36, -60, 0, 84, 112, 0, -4, 208, 0, 164, 76, 0, -36, 42, 0, 170, -32, 0, 40, -258, 0, 14, 94, 0, -10, -130, 0, -144, 72, 0, 6, 46, 0, -28, 80, 0, 4, 176, 0, 320, -40, 0, -106, -16, 0, 210, 16, 0, -78, -216, 0, -18, 8, 0, 18, 28, 0, 48, 170, 0, 92, -10, 0, -52, 0, 0, 18, 14, 0, -206, -48, 0, -14, 130, 0, 50, -26, 0, 84, 96, 0, -4, 92, 0, 30, 134, 0, 16, 50, 0, 102, -108, 0, 240, -20, 0, 16, -192, 0, 134, -4, 0, 38, -34, 0, -54, 28, 0, -8, 50, 0, -16, -156, 0, 40, 168, 0, -64, 66, 0, -2, 100, 0, 66, 58, 0, -4, -2, 0, 36, 56, 0, -26, 110, 0, -96, -12, 0, -124, 130, 0, -12, 20, 0, 16, 200, 0, -6, 24, 0, 82, -90, 0, 236, 2, 0, -12, -64, 0, 24, -62, 0, -64, -186, 0, -106, 32, 0, -100, 312, 0, -92, -82, 0, 124, -152, 0, 128, 20, 0, -12, -6, 0, 10, 0, 0, -10, 80, 0, 244, 156, 0, -58, -388, 0, -42, 36, 0, -16, 62, 0, -90, 142, 0, -160, 84, 0, 32, 6, 0, 78, -34, 0, -98, 172, 0, 20, 116, 0, 4, 16, 0, -112, 132, 0, -80, 78, 0, -12, 238, 0, -66, -14, 0, -20, -234, 0, 22, 78, 0, 106, -96, 0, 188, -18, 0, -36, -206, 0, -24, 144, 0, 14, 212, 0, -146, 42, 0, 148, 18, 0, 10, 28, 0, 48, 176, 0, 70, 56, 0, 98, 48, 0, 192, 2, 0, 38, 140, 0, -196, 232, 0, 10, -142, 0, 106, 6, 0, 48, 12, 0, -28, -112, 0, -30, 162, 0, 18, 158, 0, -14, -58, 0, -90, -88, 0, -24, 4, 0, 302, 96, 0, -74, -16, 0, -54, -16, 0, 48, -64, 0, -46, 20, 0, 4, 312, 0, -60, -130, 0, 106, 118, 0, 156, 238, 0, -4, 324, 0, 34, -36, 0, -150, 48, 0, -242, 20, 0, 192, 190, 0, -10, -8, 0, 44, 210, 0, -268, -130, 0, 16, -10, 0, 6, -36, 0, -36, 136, 0, -76, 168, 0, -4, -100, 0, -138, -4, 0, 128, 0, 0, -176, 56, 0, 36, -184, 0, 146, 174, 0, -34, -76, 0, -52, -68, 0, 28, 20, 0, 28, 8, 0, -122, 170, 0, 14, -18, 0, 22, 88, 0, -6, -100, 0, 38, 18, 0, -4, -28, 0, 64, 102, 0, 196, 88, 0, -78, 4, 0, -66, -44, 0, 126, -74, 0, -40, -16, 0, 64, 70, 0, -96, 294, 0, -64, 102, 0, 34, 12, 0, 20, -36, 0, 128, -156, 0, 112, 38, 0, 32, -82, 0, -8, -64, 0, -42, -16, 0, -142, -454, 0, -114, 8, 0, 10, 112, 0, -316, 190, 0, -84, 46, 0, -24, -64, 0, -12, 52, 0, 276, -64, 0, -94, -68, 0, -170, 64, 0, 102, 148, 0, -48, 176, 0, -156, -408, 0, -130, -92, 0, 100, 2, 0, 28, 50, 0, -112, -114, 0, -112, 20, 0, -202, -84, 0, 66, -4, 0, 50, -196, 0, -72, -76, 0, -4, 84, 0, 96, -62, 0, 24, 6, 0, 30, -4, 0, -94, 72, 0, -36, 14, 0, -100, -106, 0, -196, -30, 0, 100, -76, 0, 34, 46, 0, -80, 88, 0, -172, 66, 0, -6, -68, 0, 68, -14, 0, 106, 76, 0, 136, -76, 0, -108, -22, 0, 20, -2, 0, 8, -134, 0, 44, 124, 0, -8, -152, 0, -62, -58, 0, 72, -8, 0, 18, -122, 0, -48, -160, 0, -98, -28, 0, 104, 278, 0, -216, -54, 0, -96, 32, 0, -34, 12, 0, -106, -128, 0, 202, -144, 0, 174, 52, 0, 20, -24, 0, -6, -150, 0, 168, 138, 0, -104, 68, 0, 70, 20, 0, -64, -96, 0, -118, -204, 0, 28, -92, 0, 116, 222, 0, -152, -16, 0, -252, 100, 0, 8, 6, 0, 32, 64, 0, -30, 436, 0, 144, -12, 0, 246, 20, 0, -44, 14, 0, 168, -244, 0, -138, 18, 0, 108, -114, 0, -120, -52, 0, -4, -168, 0, 260, 28, 0, -134, -116, 0, -18, -32, 0, 168, -124, 0, 2, 28, 0, 26, -146, 0, -274, -198, 0, 130, -36, 0, 140, 38, 0, 2, -126, 0, 48, 4, 0, 42, 10, 0, -6, 6, 0, -94, -118, 0, -192, -112, 0, -16, 128, 0, -40, -308, 0, -24, -28, 0, -134, -32, 0, -12, 278, 0, -8, -132, 0, -100, -84, 0, 200, 78, 0, -36, -4, 0, -26, -82, 0, 36, -114, 0, -234, 70, 0, 132, 152, 0, 414, 52, 0, 8, 68, 0, -12, -96, 0, 130, 126, 0, -148, 30, 0, 36, 68, 0, 44, -222, 0, -52, -346, 0, 16, 156, 0, 0, 40, 0, 122, 182, 0, 64, -176, 0, -252, -198, 0, -54, -22, 0, -78, 0, 0, 28, -224, 0, -88, 88, 0, -64, 20, 0, -2, -68, 0, 132, -142, 0, 160, 12, 0, 66, -8, 0, 84, -12, 0, 64, -58, 0, 136, -36, 0, -90, -208, 0, 8, 22, 0, -56, 64, 0, 74, -100, 0, -94, 64, 0, -114, -138, 0, -24, -4, 0, -124, 184, 0, -112, 220, 0, 98, -6, 0, 12, 76, 0, -6, 156, 0, 58, 180, 0, 40, -72, 0, -152, -124, 0, 50, -6, 0, -72, -408, 0, 256, 134, 0, -22, -334, 0, 52, -18, 0, 10, 72, 0, 36, -4, 0, -48, -112, 0, -228, 12, 0, -22, 88, 0, 286, -210, 0, 6, -306, 0, 152, -280, 0, -150, 128, 0, 14, 20, 0, 32, -266, 0, -20, -108, 0, -96, 34, 0, 90, -114, 0, 262, 26, 0, -186, -52, 0, 34, -20, 0, 158, -74, 0, 158, 62, 0, -120, 28, 0, 126, 134, 0, 68, 44, 0, 154, -168, 0, -216, -8, 0, 186, -32, 0, 456, -124, 0, 10, 378, 0, 124, 12, 0, 24, 136, 0, -102, -26, 0, 36, 222, 0, -8, -134, 0, -44, -64, 0, 4, 170, 0, -76, 28, 0, -56, -46, 0, -78, -112, 0, -10, 36, 0, -42, 30, 0, -266, -16, 0, -148, -50, 0, 42, -166, 0, -32, -272, 0, 176, -26, 0, 42, -80, 0, 194, 142, 0, 22, -164, 0, 120, -42, 0, -70, -106, 0, -80, -6, 0, 34, 38, 0, 16, 144, 0, 90, -80, 0, -126, -48, 0, 50, 48, 0, 26, -134, 0, -22, 188, 0, -116, -96, 0, 132, 126, 0, 146, -12, 0, -142, -260, 0, -168, 0, 0, -156, 24, 0, -92, 60, 0, -198, 6, 0, -128, -70, 0, 72, -6, 0, 116, -12, 0, -28, 76, 0, 96, 20, 0, 8, -210, 0, 100, -54, 0, 32, -34, 0, 172, -188, 0, 4, -72, 0, -156, 268, 0, 26, 116, 0, 100, -256, 0, 76, -86, 0, -130, -64, 0, -8, -240, 0, 8, 70, 0, -24, 364, 0, -10, 118, 0, 128, -40, 0, -188, 120, 0, -4, 10, 0, -418, -168, 0, -50, -84, 0, 292, -8, 0, -224, -158, 0, -20, -236, 0, -126, -78, 0, -232, -76, 0, -122, 108, 0, 48, 0, 0, 20, 108, 0, 256, 56, 0, 78, 212, 0, -20, -26, 0, 136, -252, 0, 116, 110, 0, 44, 232, 0, -78, -36, 0, -66, 102, 0, 382, -46, 0, -2, 130, 0, 168, 180, 0, -150, 96, 0, -2, -108, 0, -112, 48, 0, 6, -4, 0, 60, 192, 0, 14, -64, 0, -162, 8, 0, 68, -130, 0, -32, -24, 0, -316, 76, 0, -50, -192, 0, -74, 44, 0, -20, 138, 0, -56, -106, 0, 280, -164, 0, -26, 16, 0, -106, -114, 0, -98, 32, 0, 58, 104, 0, 224, -244, 0, -82, 92, 0, 102, 42, 0, -74, -150, 0, -4, 178, 0, -40, -40, 0, 112, -226, 0, 74, 82, 0, 98, 164, 0, -18, 68, 0, -128, 62, 0, 160, 238, 0, 80, -32, 0, 30, 472, 0, 106, 124, 0, -102, -146, 0, 136, 28, 0, -6, -94, 0, 88, 212, 0, 64, -270, 0, -116, 58, 0, 12, 4, 0, 2, -34, 0, -102, -48, 0, -40, -148, 0, -72, -38, 0, 46, -308, 0, 40, -76, 0, 128, -132, 0, 28, 220, 0, 140, -44, 0, -48, -148, 0, 44, 52, 0, 28, -2, 0, 76, -96, 0, -56, 194, 0, 100, -10, 0, 140, 10, 0, -490, -202, 0, -20, -364, 0, 218, -144, 0, -38, -58, 0, -134, 24, 0, 8, -282, 0, -80, 104, 0, 36, 64, 0, 272, 58, 0, -4, 32, 0, 224, -306, 0, 2, -8, 0, 82, 94, 0, 192, -88, 0, -150, 54, 0, 34, 288, 0, 4, -156, 0, -44, 208, 0, 148, -80, 0, 250, -88, 0, -34, -214, 0, 16, 184, 0, -134, -8, 0, -132, -66, 0, -172, -6, 0, -154, -120, 0, 72, -90, 0, -304, -336, 0, 8, 16, 0, 14, -42, 0, -172, 10, 0, 2, 24, 0, -244, 2, 0, 214, 130, 0, 26, 8, 0, -4, -132, 0, 40, -136, 0, 106, -238, 0, 64, -94, 0, -52, 16, 0, 206, 104, 0, 10, 44, 0, 132, -40, 0, -42, -228, 0, 286, -26, 0, -4, 174, 0, -84, 100, 0, -36, 180, 0, -256, 44, 0, 42, -14, 0, -68, -88, 0, 32, -76, 0, -150, 148, 0, 90, -210, 0, 90, 24, 0, -10, -174, 0, -128, -236, 0, 6, 216, 0, -246, -34, 0, 66, -56, 0, -140, 92, 0, 6, -34, 0, -310, 92, 0, 36, -318, 0, -342, -94, 0, 46, 390, 0, 12, 100, 0, 56, -142, 0, -28, -116, 0, -226, 16, 0, 470, -172, 0, -8, 162, 0, -204, 144, 0, 22, 122, 0, 216, -18, 0, 88, -166, 0, 88, -144, 0, -86, -174, 0, -38, -30, 0, 28, -14, 0, -318, 22, 0, 16, 180, 0, -168, 38, 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, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0], [-1, -2, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, 0], [1, 0, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0], [1, 4, 1, 1, 1, -1], [-1, 0, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0], [3, 0, 0, -1, 0, 1], [-1, -1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, -1, -2, -1, 0], [-2, 1, 1, 0, 0, -1], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-4, 3, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0], [-3, 1, 0, 2, 1, 0], [-1, 0, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0], [2, 1, -1, 0, 0, 1], [-4, -4, -3, -2, -2, 1], [0, 0, 0, 0, 0, 0], [0, 2, 1, -1, 1, -1], [1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [-2, -2, 1, 1, 1, -1], [0, 0, 0, 0, 0, 0], [1, 2, 1, 1, 0, 0], [-3, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [-1, -2, -1, -2, 1, -1], [-4, 3, 2, 3, 1, -2], [0, 0, 0, 0, 0, 0], [0, -1, -1, -2, 0, 0], [-2, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0], [-1, -1, 0, -1, -1, 1], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-2, -2, -4, -2, -2, 3], [-4, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, 0, 0, -1, 0], [-1, 0, -1, -2, -1, 0], [0, 0, 0, 0, 0, 0], [-5, 3, 0, 4, 1, 0], [-2, 0, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, -3, -1, -2, 0, -1], [-6, -1, -1, 2, 0, 0], [0, 0, 0, 0, 0, 0], [-3, 8, 4, 6, 2, 0], [1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-2, 3, 2, 1, 1, -2], [0, -3, -1, -2, 0, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 1, -1], [-2, -1, 0, -1, -1, 2], [0, 0, 0, 0, 0, 0], [-1, -3, -2, 0, -1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [6, 1, 1, -2, -2, -1], [0, 2, 1, -3, -1, -1], [0, 0, 0, 0, 0, 0], [-1, 1, 3, -1, 0, -2], [-1, -4, -1, -1, -1, 1], [0, 0, 0, 0, 0, 0], [-1, 4, 1, 0, 1, -1], [2, -2, 1, -1, -1, 1], [0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 1], [5, 7, 4, -2, 1, -2], [0, 0, 0, 0, 0, 0], [4, -6, -4, -2, -2, 3], [-1, 2, 3, -2, 1, -2], [0, 0, 0, 0, 0, 0], [2, -3, 1, 0, 2, -1], [3, 3, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0], [-1, 0, -2, -1, -2, 1], [-3, 0, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-3, -2, 3, 0, 1, -2], [-1, 3, 2, 3, 2, -1], [0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0]]}