# Stored data for newform 8025.2.a.ba, downloaded from the LMFDB on 25 April 2024.
{"label": "8025.2.a.ba", "space_label": "8025.2.a", "level": 8025, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345195353, "dim": 6, "is_polredabs": true, "nf_label": "6.6.13231312.1", "trace_hash": 2187119377035904076, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 19, 1, -18, -5, 3, 1]], [7, [-4, 14, 13, -18, -15, 0, 1]], [11, [636, -632, -7, 138, -21, -6, 1]], [13, [-359, -500, -20, 122, -4, -8, 1]]], "qexp_display": "q-\\beta _{2}q^{2}-q^{3}+(1-\\beta _{4})q^{4}+\\beta _{2}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32100, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 64.07994762207751, "hecke_ring_index": 1, "level_radical": 1605, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8025, 1, [5351, 1927, 751], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 5, 107], "conrey_indexes": [1], "field_disc": 13231312, "field_disc_factorization": [[2, 4], [826957, 1]], "field_poly": [1, -9, 8, 9, -8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.109", "prec": 17}, {"__RealLiteral__": 0, "data": "5.672", "prec": 17}, {"__RealLiteral__": 0, "data": "0.810", "prec": 17}, {"__RealLiteral__": 0, "data": "103.169", "prec": 24}, {"__RealLiteral__": 0, "data": "12.017", "prec": 20}, {"__RealLiteral__": 0, "data": "3211.942", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [107, -1]], "trace_display": [-3, -6, 0, 0], "traces": [0, 6, -3, -6, 7, 0, 3, 0, -6, 6, 0, 6, -7, 8, -2, 0, 1, -4, -3, -4, 0, 0, 22, -14, 6, 0, -7, -6, 16, 10, 0, 12, -5, -6, -1, 0, 7, 12, 1, -8, 0, -6, 2, 12, 4, 0, 18, -16, -1, -12, 0, 4, 25, -12, 3, 0, -32, 4, -12, 8, 0, -24, 8, 0, -12, 0, -22, 4, 15, 14, 0, 36, -6, 26, -39, 0, -17, -14, 7, 8, 0, 6, 38, 8, -16, 0, 16, -10, 8, -8, 0, -18, -2, -12, 24, 0, 5, 24, -43, 6, 0, -8, 1, 2, 22, 0, 30, 6, -7, -2, 0, -12, 38, -12, -1, 0, 26, 8, -24, 20, 0, 12, 9, 6, 38, 0, -2, -26, 1, -12, 0, 28, -4, 14, -16, 0, 14, 14, -18, 14, 0, 16, -49, 8, 1, 0, 16, 12, 3, 10, 0, 20, 10, -4, 40, 0, -25, 26, -48, 12, 0, -28, -3, -4, -40, 0, -24, 12, 32, -6, 0, -4, -26, -46, 12, 0, -16, -8, -52, 28, 0, 4, 46, 24, 54, 0, -8, -10, -32, 0, 0, 48, 12, 14, 34, 0, 49, 10, 22, 36, 0, -4, -2, -16, -15, 0, -4, -14, -57, -40, 0, 28, -74, -36, -3, 0, 6, 60, 72, -26, 0, -6, 39, 8, -48, 0, 67, 20, 17, -4, 0, 14, -14, 10, -7, 0, -44, -8, -72, 22, 0, -32, 63, -6, -41, 0, -38, -24, -50, -8, 0, -72, 16, 44, -20, 0, -21, 36, -16, 36, 0, 10, 9, 26, -8, 0, -40, 8, -88, 38, 0, -16, 53, 18, 70, 0, 2, 70, -38, 12, 0, -52, -24, 32, 137, 0, 48, 20, -5, 14, 0, -24, 102, 4, 43, 0, -60, -6, 20, 30, 0, -60, -47, 8, 19, 0, -1, 56, -54, -2, 0, 20, -22, 40, 12, 0, 8, 6, -30, 76, 0, -6, 66, 36, 7, 0, -140, 2, -6, -2, 0, 12, 50, 12, -49, 0, -38, 34, -10, 12, 0, -46, 1, 54, 78, 0, 79, 32, -26, -46, 0, -8, -10, -12, 24, 0, 28, -20, 23, 4, 0, -64, 10, -12, -58, 0, -9, -6, -42, -6, 0, -40, -38, 12, 82, 0, 38, -6, 2, 88, 0, 26, 61, -24, -1, 0, 48, 12, 54, -10, 0, 36, -86, -28, 36, 0, 4, 58, -85, -14, 0, 26, 16, 30, 14, 0, -8, -74, -14, -38, 0, -14, 116, -24, 18, 0, 15, -14, 26, 48, 0, -6, -10, -16, 96, 0, 49, -64, 7, -8, 0, -26, -1, 34, -82, 0, 54, -32, -16, 68, 0, -12, 99, -12, -3, 0, 35, -10, 48, 54, 0, 0, 3, -20, -38, 0, -10, -56, -134, 4, 0, 6, -40, -28, 72, 0, 50, 40, 25, -64, 0, -26, 60, 10, 48, 0, 116, -12, -116, 36, 0, -58, 5, 28, 49, 0, 3, 10, -12, 4, 0, 32, 40, 54, 29, 0, -30, -6, 24, 54, 0, -12, -10, -20, -32, 0, -30, 6, -86, 82, 0, 88, 38, 4, -28, 0, 26, 50, -124, 46, 0, 8, -12, -28, 131, 0, 72, -32, 16, -4, 0, 8, 58, -50, 52, 0, 44, -28, 111, -68, 0, 94, 65, -4, -127, 0, -46, 84, -16, -24, 0, -50, -54, -60, 60, 0, -10, -32, 8, 102, 0, 10, 56, 12, 32, 0, -11, 0, -18, -16, 0, 4, 122, -48, 0, 0, -12, -58, 58, -14, 0, 68, -34, -28, -142, 0, 8, -10, -49, 36, 0, -10, 113, 58, -22, 0, -138, -36, 36, 94, 0, 120, 174, 4, 19, 0, 2, -124, -43, 16, 0, -78, 15, 104, -114, 0, 88, -6, 4, -8, 0, 14, 67, -8, 57, 0, -199, 40, 126, 32, 0, 108, 16, -28, -184, 0, 74, -40, -12, 36, 0, -18, 3, 68, -132, 0, -81, 48, -6, -64, 0, -60, 120, -52, -72, 0, -30, 26, -40, 60, 0, -6, -1, 6, -164, 0, -39, 60, 213, -8, 0, 46, 48, -36, 91, 0, -6, -16, -67, 32, 0, -20, 186, 152, -17, 0, -128, 4, -182, 8, 0, 8, -185, -14, -55, 0, 14, -62, 32, -10, 0, 76, 7, 60, -150, 0, -56, 64, 44, -10, 0, 8, 40, -114, 72, 0, 37, -22, 81, 32, 0, 94, -24, 32, -74, 0, -63, 0, 36, 6, 0, -112, 41, -18, 30, 0, 2, -56, 38, 38, 0, 24, 108, 6, 50, 0, -23, 8, -16, 0, 0, 132, 90, 72, 32, 0, -16, -16, -60, -44, 0, -108, 20, 76, 103, 0, 56, -16, 21, -16, 0, -36, 16, -44, 16, 0, -60, -36, 80, 30, 0, 60, 174, -10, 123, 0, -9, 22, -118, -26, 0, -24, 8, -6, -12, 0, 97, -106, 40, 132, 0, -8, -12, 92, 88, 0, 42, -38, -8, 46, 0, 4, 52, 16, 12, 0, -53, -20, -66, -18, 0, 40, -70, -46, -50, 0, -16, 20, -2, 80, 0, -70, -58, 54, 38, 0, -78, -12, -21, 12, 0, 62, 85, 52, -16, 0, 24, -8, -110, -32, 0, -140, -137, 18, 208, 0, -6, -98, -48, 4, 0, -20, 22, 20, 5, 0, -146, -14, 128, -36, 0, -20, -50, 24, 44, 0, -102, 4, 12, -4, 0, 100, -43, -28, -43, 0, 92, -44, 60, -4, 0, 6, -35, 26, -20, 0, 14, -30, -51, -208, 0, -32, 16, 60, 130, 0, 47, 2, -12, -8, 0, 60, -19, 16, 49, 0, 138, 58, 1, 50, 0, -56, -86, 164, 54, 0, 128, 2, -46, 16, 0, 4, 40, -20, -78, 0, 22, 0, 132, -40, 0, 70, -12, -60, 36, 0, 26, 128, -8, -6, 0, -6, -98, 76, 30, 0, 24, -76, -131, -16, 0, 164, -25, 6, -15, 0, -66, -48, 120, -36, 0, 16, -7, 68, 108, 0, -115, 64, 140, -152, 0, -2, -59, 60, 6, 0, 128, 2, -93, -2, 0, 70, -60, -12, -28, 0, -50, -6, -40, -12, 0, 18, 49, 88, -140, 0, 24, 48, 38, 50, 0, -34, 168, -120, 10, 0, 42, -12, -68, -42, 0, -16, -152, 46, -27, 0, -1, 84, -38, -54, 0, -88, -78, 20, -18, 0, 236, -244, -79, 4, 0, -32, 89, -28, 26, 0, -146, 46, -154, 0, 0, -56, -58, 8, -184, 0, 10, -62, 41, 12, 0, 150, -24, -20, -50, 0, 58, 140, -28, -44, 0, 20, -72, 10, -23, 0, -91, -4, -64, -92, 0, 96, -86, 64, -125, 0, -10, -158, -46, 12, 0, 4, 58, 54, 43, 0, 74, 4, 9, 72, 0, 6, 88, 142, 42, 0, 124, 6, -62, 44, 0, -64, -164, 40, -45, 0, 38, 78, -142, -12, 0, 88, -82, 148, -66, 0, 149, -14, -38, -50, 0, 6, 83, -2, -2, 0, 13, -88, 102, -136, 0, 48, 75, -26, -50, 0, -61, 26, -32, 24, 0, 58, 1, -60, 223, 0, -22, 112, -48, -132, 0, -12, -146, 92, -54, 0, -32, 10, 84, 74, 0, 92, 56, -36, -44, 0, 86, 6, -138, 28, 0, 22, -36, -92, -53, 0, -149, 44, -4, -144, 0, -58, 50, 50, 85, 0, 70, 14, 12, 92, 0, 116, -122, -26, -264, 0, -16, 108, -26, -30, 0, -66, -14, 78, -32, 0, 106, -160, 8, 12, 0, 74, 166, 112, 14, 0, -280, 38, -50, -68, 0, -64, -110, 14, -13, 0, -116, 98, 164, 24, 0, -10, -18, 82, -127, 0, 16, -144, -15, 110, 0, 14, 135, 62, -26, 0, -166, -48, -197, -72, 0, -4, -4, 6, -80, 0, 10, 96, 132, 16, 0, 144, -96, 24, 11, 0, 20, -138, -49, -116, 0, 64, -193, -88, -7, 0, -73, 8, 214, 34, 0, 10, 65, 26, -96, 0, 1, 160, 20, -34, 0, -128, 82, 28, -168, 0, -196, -96, -54, -14, 0, 32, 16, -48, 16, 0, 50, -68, -328, 22, 0, 48, -238, 12, -111, 0, -99, 80, 152, 12, 0, 48, 3, 110, 76, 0, -110, 166, -35, 40, 0, 10, -368, -100, -48, 0, -108, -54, 91, -82, 0, 56, 126, 0, -190, 0, -3, -56, -52, 20, 0, 58, 38, 172, 6, 0, -144, -8, 10, 10, 0, 56, 94, 60, 134, 0, 132, -4, -38, 28, 0, 4, -111, -6, 72, 0, 40, -58, 115, 28, 0, 8, -72, -10, -146, 0, 86, -164, -50, 112, 0, -40, -55, 80, -25, 0, -57, 64, -2, -34, 0, -58, -14, 26, -176, 0, -60, 6, 34, -10, 0, 42, -48, 54, -84, 0, 104, 2, -116, -58, 0, 12, -22, 8, 116, 0, -161, -36, 43, 92, 0, 196, -220, 58, -34, 0, -5, -48, -160, -28, 0, 76, -49, 70, -115, 0, 40, -230, -3, -68, 0, -10, 104, 36, 12, 0, -46, -4, -94, 94, 0, 166, -162, -32, -188, 0, -40, -186, -250, -54, 0, -142, -29, 4, -200, 0, 14, 8, 30, -54, 0, 6, -165, 176, -24, 0, 132, -54, -2, 70, 0, -56, -198, 12, -122, 0, 10, 92, 154, 20, 0, 54, 32, 16, -54, 0, 206, -14, 30, -18, 0, -6, -48, -50, 86, 0, -76, -82, -166, -110, 0, -20, -178, -88, -44, 0, -38, -148, -218, -4, 0, -100, 28, -20, -34, 0, 78, 70, -26, 0, 0, -50, 46, -96, 124, 0, 20, -46, -90, 158, 0, -70, 214, -8, -124, 0, 12, 108, -41, 28, 0, 92, -131, 138, -42, 0, 42, -46, -72, 132, 0, 32, 88, -100, -16, 0, -205, 4, -72, -32, 0, -118, -138, -8, 32, 0, -58, -116, 52, 50, 0, -60, -52, 100, 64, 0, 228, 72, -44, -36, 0, 28, -104, -34, -111, 0, 110, 68, 255, -128, 0, -2, 52, -94, -40, 0, -65, 94, -292, 4, 0, 120, 127, 84, 22, 0, 76, -110, 46, -28, 0, -84, -59, 28, 16, 0, 22, 24, 108, 12, 0, -66, 72, 50, 87, 0, 54, -42, -90, 60, 0, 56, -60, -40, -75, 0, -85, 40, 10, -186, 0, 32, -20, 72, -8, 0, -111, -102, -212, -68, 0, -58, -13, -10, -263, 0, -56, -26, 192, -12, 0, 40, -32, 72, 36, 0, 66, -166, 11, 14, 0, 0, 122, -4, 18, 0, -240, 16, -400, -248, 0, 32, 1, -4, -34, 0, -122, 172, 195, 48, 0, 234, 0, -80, 4, 0, -93, 76, 12, 62, 0, 58, 12, -16, -58, 0, -234, 14, -148, 8, 0, 94, -228, -68, -28, 0, 34, 16, -72, 28, 0, 218, 142, -6, 64, 0, 72, -184, -8, 56, 0, 10, -128, 64, 49, 0, -99, -36, 38, -38, 0, 42, -184, 10, -25, 0, -113, 112, -8, -58, 0, 62, 22, 8, 150, 0, -52, 30, 138, -6, 0, 36, -156, -160, -36, 0, 203, -94, 64, 4, 0, -68, 6, -120, -12, 0, -174, -108, -131, -4, 0, 186, -19, 94, -104, 0, -80, 4, -2, -4, 0, 124, 96, 36, 43, 0, -58, -16, -97, -100, 0, -136, -56, 78, -116, 0, -15, 8, 154, -104, 0, -42, 114, -60, 40, 0, -21, -48, -88, 92, 0, 6, -24, 2, -4, 0, -286, 8, 21, 8, 0, -148, 41, -14, -130, 0, -67, -64, 230, 8, 0, -72, -57, -22, 153, 0, -192, 80, 199, -20, 0, -40, 186, -118, -126, 0, -124, -32, -56, 8, 0, -130, 222, -108, -68, 0, -16, -10, 180, 28, 0, -2, 184, 96, 86, 0, 92, -112, -74, -106, 0, 40, -106, 38, 12, 0, 55, -36, 92, 100, 0, 108, -1, 18, -119, 0, -3, -60, 134, -68, 0, -120, 132, -36, -37, 0, -109, -142, 81, -184, 0, -48, -251, -96, 6, 0, -122, 64, 118, 186, 0, 28, 347, 60, -74, 0, -120, 28, -8, 52, 0, -56, 72, 32, 31, 0, -179, 100, 30, -8, 0, -26, -66, -10, 40, 0, 62, -60, -160, -224, 0, -46, -52, 6, 248, 0, 1, 108, 134, -6, 0, -40, 164, 30, -273, 0, -72, -76, 39, 24, 0, -60, 18, -148, -213, 0, -44, 8, 144, -82, 0, 20, -84, -46, -70, 0, -48, -174, 30, 36, 0, -222, -91, 32, 6, 0, 163, -108, 6, 32, 0, 16, -4, -4, 67, 0, -90, -32, -12, 112, 0, 82, -142, 20, 268, 0, -186, 0, 183, -152, 0, 56, 17, 124, -260, 0, -46, 172, 128, 226, 0, -4, -75, -106, 182, 0, -298, -8, -26, 12, 0, -26, -322, -8, 143, 0, 185, -60, -321, 14, 0, -66, 55, 130, 141, 0, 12, 232, -14, -46, 0, 62, 36, 22, -32, 0, 135, 10, -208, 216, 0, 144, 182, -76, -16, 0, -7, -234, 306, -60, 0, -80, 150, 30, 96, 0, 5, 52, 56, 20, 0, -64, -157, 72, -44, 0, -199, 10, -4, -78, 0, -72, -92, -8, 184, 0, -40, -12, 114, 114, 0, 140, -72, -80, 208, 0, -72, 0, -37, 20, 0, 22, 194, 24, -81, 0, -210, -32, 34, -10, 0, 32, 62, -94, 84, 0, 24, -56, 66, -32, 0, 184, 74, 100, 170, 0, -57, 34, 63, 24, 0, 0, -67, 176, -36, 0, -86, -6, 29, 0, 0, 16, -138, 112, -106, 0, -41, 34, -36, 18, 0, -36, -30, -158, -118, 0, -86, 100, -2, 56, 0, 56, -172, -52, -38, 0, 186, -38, -140, 34, 0, -8, 148, -24, 84, 0, -108, 16, -77, -6, 0, 4, -50, -144, 10, 0, 128, -116, 23, 72, 0, -8, -92, 8, 16, 0, -24, 0, -166, -222, 0, 36, -169, -132, 132, 0, -90, -216, -176, -72, 0, -70, -32, 232, -98, 0, 304, 156, 16, -102, 0, 16, -125, 32, 60, 0, -122, 44, -56, 188, 0, 140, -164, 108, 121, 0, -20, 0, -18, -76, 0, 0, -103, 106, -280, 0, 60, -142, -56, 4, 0, 16, 50, 30, -21, 0, 103, 16, -325, -40, 0, -92, -186, 36, -180, 0, -16, 46, 311, 44, 0, 98, -16, -24, 240, 0, -152, 32, 60, -22, 0, 36, 72, 34, -80, 0, -146, -30, -128, -2, 0, -44, -232, -60, -284, 0, -174, 80, -60, 10, 0, -84, -123, -276, 22, 0, 106, -60, 9, -26, 0, -22, 74, -186, 118, 0, 198, 26, 146, 60, 0, 26, 157, 24, 78, 0, -8, 92, 44, 6, 0, -136, 12, 48, 48, 0, -98, 62, -97, -124, 0, 106, -108, -82, -40, 0, 160, -132, 244, 288, 0, 62, -194, 8, 330, 0, 12, 84, 278, -92, 0, -82, -88, 114, 269, 0, 15, 14, -42, -72, 0, 38, 148, 2, 8, 0, 48, -46, -22, 110, 0, 22, -55, -4, 374, 0, -52, -36, -156, -16, 0, -112, -12, 96, -10, 0, -20, -24, 53, -76, 0, 20, 64, -16, 66, 0, -116, 18, 104, 106, 0, -14, -82, -40, 28, 0, 70, -10, -279, 46, 0, 128, 50, 208, -6, 0, -210, 24, 16, 88, 0, -20, -116, -100, 2, 0, 198, -80, 14, -150, 0, -32, -40, 70, 96, 0, 58, 100, 150, -54, 0, 66, -38, 88, -124, 0, -112, 32, 78, -42, 0, 12, -64, -130, 21, 0, 129, -12, -192, -288, 0, 62, 174, -62, 30, 0, -85, -102, 192, -52, 0, 144, 16, -18, -228, 0, -182, -4, -24, 150, 0, 8, 88, 72, 110, 0, 68, 32, -151, -148, 0, -244, 192, 140, -104, 0, 137, -218, 168, -18, 0, -154, -208, 76, -61, 0, 208, -80, 6, 84, 0, 98, 149, 34, 48, 0, -188, -4, -168, 182, 0, -184, -100, 20, -74, 0, -22, 80, -196, -20, 0, 228, -5, 66, -269, 0, -160, -168, 146, 196, 0, 14, 104, 2, -128, 0, 155, 36, 168, -88, 0, -56, 128, 20, 124, 0, 50, 190, 26, -24, 0, 110, -44, 126, 182, 0, 174, -40, 102, -236, 0, -4, 76, 216, -12, 0, 136, 4, 8, -8, 0, 34, 107, -100, 112, 0, 43, 64, 22, 28, 0, -104, 43, 38, 92, 0, -2, 128, -92, -136, 0, 44, 146, 112, -60, 0, 234, 4, -4, -198, 0, 62, 9, -6, -356, 0, 35, 148, 256, -26, 0, 52, 20, 50, 100, 0, 140, 0, -14, -60, 0, 30, -52, -42, 51, 0, -104, 208, 89, 24, 0, -6, -102, 32, -158, 0, -16, 126, 250, -60, 0, 198, -130, 6, 104, 0, 120, -176, -47, 164, 0, -2, 33, -58, 12, 0, 112, 8, 6, -164, 0, 24, 48, -60, -232, 0, 19, -4, -92, -16, 0, 48, -49, 250, -64, 0, 90, 64, -138, 206, 0, -58, 56, 14, -1, 0, -46, -50, -108, 128, 0, 64, 14, 56, 203, 0, 86, 0, 21, -164, 0, 0, -54, 112, -44, 0, -54, 232, -128, -112, 0, -2, -7, 172, 46, 0, 20, -16, 108, -190, 0, -128, -58, -4, -164, 0, -40, 120, -330, 20, 0, 182, 78, -122, 277, 0, -506, 106, -22, -86, 0, 0, 117, 140, -132, 0, 104, 40, 49, -12, 0, -42, -184, -70, -2, 0, 12, 22, 272, 60, 0, 122, -36, -44, 268, 0, -152, 80, -26, 76, 0, -128, -152, -96, 8, 0, 78, 6, 60, -104, 0, -192, -146, 6, -40, 0, 98, -84, -4, -76, 0, 58, -30, 188, -7, 0, -276, -160, -24, -102, 0, 76, 122, -4, 131, 0, 137, 16, 156, 76, 0, 196, 146, -164, 350, 0, 25, -36, 102, -6, 0, -56, 15, 226, 84, 0, 238, 82, 66, 164, 0, 48, 99, 12, -120, 0, -129, 36, -13, -158, 0, -294, -96, -16, -58, 0, 7, 48, 248, -68, 0, -84, -108, -20, -158, 0, -84, 76, 115, -12, 0, -64, -132, -166, -140, 0, 36, 152, 179, 188, 0, -86, 128, 2, -50, 0, 59, -38, -136, -60, 0, -116, -6, 34, 408, 0, 154, -190, -128, 178, 0, -2, -44, -132, 93, 0, -67, 2, 296, 4, 0, 66, 20, -70, 117, 0, 60, 92, -90, 12, 0, 48, 28, -134, 48, 0, -146, 64, 50, 2, 0, 6, -36, 72, 40, 0, 16, 12, -112, -20, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "321.2.a.c", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, -1, 0, -1, -1, 0], [-1, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 1, -2, 1, 0, -1], [-1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 1], [0, 3, -1, 2, 2, 0], [0, 0, 0, 0, 0, 0], [0, -2, 1, -1, -1, -1], [-1, -3, 1, 0, -1, 1], [0, 0, -1, 0, 0, 0], [-1, -2, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0], [4, -3, -1, -1, -2, 2], [-2, 1, -1, 2, 0, 0], [1, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0], [0, -3, -2, -1, -2, 0], [-1, 0, 0, 0, 0, 0], [2, -5, 2, -3, -3, 0], [2, 0, 0, 2, 0, -2], [0, 0, 0, 0, 0, 0], [2, -1, -1, -3, -2, 2], [-1, 4, 0, 1, 2, -1], [-2, -1, 2, -1, 0, 1], [0, 3, -1, 4, 1, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0], [1, -3, 3, -2, 0, 0], [0, 4, 0, 2, 1, -2], [-1, -1, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0], [0, 0, -2, -2, 0, 0], [0, -3, 1, -2, -2, 0], [2, 3, -1, 1, 2, 2], [2, 3, -4, 3, 0, 1], [0, 0, 0, 0, 0, 0], [2, -5, 2, -1, -3, 2], [-2, -3, 0, 1, 0, -1], [0, 2, -1, 1, 1, 1], [-3, -1, 2, -1, -2, -1], [0, 0, 0, 0, 0, 0], [1, 3, -1, 0, 1, -1], [5, 3, -2, 3, 1, -1], [-2, 0, 0, 0, 2, 2], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-4, 5, -3, 4, 4, 0], [1, 2, -1, 1, 0, -1], [-2, -4, 0, 0, 0, 4], [0, -4, 4, 0, 2, 2], [0, 0, 0, 0, 0, 0], [-3, 9, -3, 2, 2, -4], [4, 7, -6, 3, 2, -3], [0, -1, 0, -1, -1, 0], [-3, -2, 2, -4, 0, 2], [0, 0, 0, 0, 0, 0], [-4, 3, 1, 1, 2, -2], [0, 2, 2, 0, 4, 0], [3, -5, -1, -4, -4, 1], [2, -1, 1, -2, 0, 0], [0, 0, 0, 0, 0, 0], [5, 0, 1, 3, -2, 1], [-1, 0, 0, 1, 1, 1], [6, 0, -4, -2, -4, -2], [-6, 7, -1, 3, 5, -2], [0, 0, 0, 0, 0, 0], [-3, -4, 1, -3, -1, 1], [-2, 0, -1, 0, 1, 2], [0, 3, 2, 1, 2, 0], [0, 4, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [6, 4, 0, 0, 0, -2], [2, 1, -1, -2, -2, -4], [-2, 5, -2, 3, 3, 0], [0, 0, 0, 0, 0, 0], [4, -5, -2, -5, -6, -3], [-2, 0, 0, -2, 0, 2], [2, -3, -1, -1, -4, -2], [-4, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0], [-2, -3, -1, -1, 0, 0], [2, 5, -5, 4, 4, 0], [-2, 1, 1, 3, 2, -2], [2, 1, 3, 3, 0, 2], [0, 0, 0, 0, 0, 0], [1, -4, 0, -1, -2, 1], [6, 0, -4, 0, -2, -2], [-8, 3, 2, 3, 6, 2], [2, 1, -2, 1, 0, -1], [0, 0, 0, 0, 0, 0]]}