# Stored data for newform 9025.2.a.br, downloaded from the LMFDB on 10 December 2023. {"label": "9025.2.a.br", "space_label": "9025.2.a", "level": 9025, "weight": 2, "hecke_orbit": 44, "hecke_orbit_code": 193654784010494785, "dim": 6, "is_polredabs": true, "nf_label": "6.6.41289040.1", "trace_hash": 1092505992551898487, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -3, 1, 1]], [3, [-5, 25, 18, -21, -8, 3, 1]], [7, [-67, -38, 123, -20, -21, 2, 1]], [11, [247, -871, 522, 9, -46, 1, 1]], [29, [-12781, 2693, 3140, 97, -108, -3, 1]]], "qexp_display": "q-\\beta _{4}q^{2}+(-1+\\beta _{1}+\\beta _{3})q^{3}+(-\\beta _{3}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36100, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 72.06498782420555, "hecke_ring_index": 1, "level_radical": 95, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [9025, 1, [5777, 3251], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 41289040, "field_disc_factorization": [[2, 4], [5, 1], [13, 1], [29, 1], [37, 2]], "field_poly": [-5, -25, 18, 21, -8, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.604", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "84.585", "prec": 20}, {"__RealLiteral__": 0, "data": "2.123", "prec": 17}, {"__RealLiteral__": 0, "data": "1925.050", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [19, 1]], "trace_display": [-2, -3, 0, -2], "traces": [0, 6, -2, -3, 2, 0, -1, -2, -6, 7, 0, -1, -7, -5, -6, 0, -6, 3, -7, 0, 0, 3, -9, 6, 11, 0, 19, -18, 4, 3, 0, -3, 6, 18, -1, 0, 13, 6, 0, 8, 0, 11, 11, -13, 21, 0, -12, 6, 19, 4, 0, -17, 1, -18, 18, 0, 4, 0, -5, 4, 0, 25, 21, -43, -22, 0, 34, -6, 1, 13, 0, 18, -13, -1, -6, 0, 0, 11, -72, 3, 0, 2, -31, 23, 37, 0, 9, -11, -11, 12, 0, -11, -28, 13, 8, 0, -13, -3, 22, -20, 0, -30, 55, -48, -15, 0, -16, -9, -44, -50, 0, -34, 6, -31, 0, 0, -11, -16, 46, 3, 0, 27, -5, 6, -15, 0, -19, -25, 66, 28, 0, 13, -22, 0, 26, 0, -3, -8, -31, 23, 0, -25, 6, -21, -19, 0, -41, 8, -10, 20, 0, -32, 0, 15, 43, 0, 66, -61, -75, -57, 0, -2, 16, -2, 45, 0, 7, -43, -51, 19, 0, 0, -15, -46, 51, 0, -23, -31, 70, 46, 0, 15, -45, -58, 34, 0, -79, 24, 32, 42, 0, -3, -7, 0, 7, 0, -52, 25, -96, 36, 0, -10, -18, -79, -55, 0, 6, 1, -35, 0, 0, -37, 2, 73, 7, 0, 44, -55, 26, -39, 0, -58, 34, 37, 14, 0, 47, -8, 0, -4, 0, -36, 13, -40, 126, 0, -54, 54, 37, -6, 0, -1, 75, -2, 43, 0, 6, 0, -3, 40, 0, -3, 9, -79, -59, 0, 26, -17, -22, -2, 0, 95, 33, -36, -30, 0, 0, -79, -78, -31, 0, -23, -3, 82, 88, 0, 23, 20, -11, 21, 0, -14, -43, 49, -32, 0, -15, -31, 33, -45, 0, -41, 73, -99, -68, 0, 10, -29, -60, -15, 0, -39, 46, -50, 0, 0, -99, 6, 45, 10, 0, 56, -2, 44, 25, 0, 1, -66, 131, 0, 0, 28, -30, 0, 26, 0, 44, 31, -25, 72, 0, 0, -47, 42, -9, 0, -99, 10, -61, 94, 0, -44, 0, -46, 19, 0, 32, -27, -133, -50, 0, -3, 51, 28, 31, 0, 4, -23, -64, -47, 0, 0, 33, -94, 23, 0, -68, -47, 74, 56, 0, 60, 27, -13, 24, 0, -46, -70, 36, 38, 0, 24, -57, -54, -41, 0, -86, 2, -57, 1, 0, -37, 26, -83, -35, 0, 6, 12, -90, 0, 0, -46, 8, 88, 54, 0, 35, -60, 17, -26, 0, -23, 28, 62, 77, 0, -17, 98, 0, 22, 0, -14, 25, -55, 32, 0, -161, 21, 9, 117, 0, -5, 70, -66, -45, 0, -38, 0, 17, 104, 0, 30, 92, -46, -42, 0, 17, -8, -28, 62, 0, 57, -73, 5, -62, 0, 0, 12, -46, -5, 0, 25, -112, 95, 29, 0, -32, 2, -112, -12, 0, 95, 4, 9, 54, 0, -33, 13, 18, -36, 0, -56, -11, -69, -35, 0, 4, -66, -63, -75, 0, -40, -48, 49, 0, 0, -9, -60, 86, 0, 0, 61, 29, 32, 53, 0, -37, -158, 61, -18, 0, 15, -122, 0, 31, 0, -4, -7, -6, -5, 0, -14, -81, 18, -7, 0, -78, -61, -42, 12, 0, -77, 0, -3, -9, 0, 58, -132, -77, -108, 0, 39, 3, 11, 3, 0, 80, 26, -92, 42, 0, 0, -5, -5, 10, 0, -27, 37, 145, 29, 0, -71, 46, -63, 109, 0, 51, 36, 8, 6, 0, 40, -73, -11, -19, 0, -43, -48, -49, 58, 0, 1, -43, -29, -31, 0, -7, 46, 4, 0, 0, -112, 26, 2, 119, 0, 44, -136, -43, -67, 0, 6, 15, -4, 46, 0, -16, 47, 0, -59, 0, 77, 93, -30, 70, 0, -99, 82, 54, -15, 0, 42, 70, -80, 4, 0, 34, 0, -31, 34, 0, 35, 71, -131, 40, 0, -53, 34, -62, -19, 0, 79, 102, 4, 6, 0, 0, 3, -44, -43, 0, 47, -68, -64, -1, 0, -39, 65, -60, -36, 0, -63, -138, 119, 17, 0, -30, 13, -35, -53, 0, -83, 63, -55, -114, 0, 89, 68, -2, -57, 0, -93, -48, -34, 0, 0, 4, 61, 25, -127, 0, 21, 10, 108, 19, 0, 93, -14, 36, 22, 0, -91, -129, 0, -31, 0, -108, 12, 27, -6, 0, 26, -86, 27, -23, 0, 42, 11, -25, -6, 0, -16, 0, -119, 45, 0, -74, -76, 33, -65, 0, -26, 64, -50, 51, 0, -44, -122, -54, 8, 0, 0, 58, -96, 39, 0, -161, -48, 30, 17, 0, 30, -86, 83, 158, 0, -58, 92, -20, 76, 0, -12, -20, 12, -27, 0, -42, -43, -1, 26, 0, -27, -36, 36, 48, 0, 53, 2, -15, 0, 0, -49, 21, -63, 56, 0, -37, -30, 27, 11, 0, -37, 110, 81, -38, 0, 148, 13, 0, -29, 0, 89, 32, 2, -14, 0, -56, 145, -6, -19, 0, -53, 49, -17, -48, 0, 17, 0, 0, -36, 0, 14, 35, -34, 14, 0, 46, -84, -39, -61, 0, 28, 125, -42, -154, 0, 0, -19, 70, -73, 0, 51, 170, 83, 75, 0, 59, 25, 46, -53, 0, 54, 83, -29, -131, 0, -7, -16, -5, 67, 0, 30, 75, -18, -106, 0, 90, -13, 63, 17, 0, -54, 62, 91, 0, 0, -1, 20, 8, -46, 0, -21, 150, -14, -122, 0, -64, -177, 42, 75, 0, 32, -23, 0, -22, 0, -24, -62, 8, 25, 0, 97, -95, -42, 57, 0, -101, -17, 50, 56, 0, -20, 0, 109, 2, 0, -20, -73, 49, 21, 0, -101, 21, 117, -14, 0, -69, 0, -17, 119, 0, 0, 48, 113, 38, 0, 2, -47, 24, -127, 0, 120, -29, -23, 12, 0, 9, -54, -62, 16, 0, 2, -7, 9, -155, 0, -28, -63, -4, 52, 0, -49, 116, -52, 89, 0, 29, -26, -67, 0, 0, 56, 108, 31, 96, 0, -101, -71, -93, -7, 0, -69, 92, -168, 36, 0, -165, 159, 0, 3, 0, -61, -51, 0, -82, 0, -108, 62, -72, 6, 0, 189, 7, 81, -139, 0, 30, 0, 63, -26, 0, -57, 55, 13, 192, 0, 23, -104, 28, 92, 0, 154, -63, 141, 2, 0, 0, -131, 21, -55, 0, 119, -2, -62, 9, 0, -70, -48, -61, -32, 0, -77, 46, 94, 81, 0, -42, 1, -39, -50, 0, 86, 14, -18, 53, 0, -78, -10, 62, -43, 0, 80, -31, -6, 0, 0, 47, -228, -83, -86, 0, 7, 110, 54, 98, 0, -1, 10, -42, -149, 0, -60, -161, 0, -71, 0, -91, -47, -11, -6, 0, 60, -70, -54, -92, 0, 12, -24, 106, 147, 0, -17, 0, -18, 3, 0, 33, -143, 32, 70, 0, -74, 15, -11, 43, 0, -129, -17, -65, -122, 0, 0, 71, 73, -78, 0, -5, 128, -41, -112, 0, 25, 21, 94, 18, 0, 34, 218, -164, 28, 0, 44, -114, -40, 109, 0, 169, -38, 99, 121, 0, 16, 83, -14, 124, 0, 89, 71, 50, 0, 0, 17, 133, -32, -11, 0, 11, -30, -63, -57, 0, 108, -5, 23, -12, 0, 56, 181, 0, 123, 0, 71, 52, -65, -14, 0, 146, 25, -27, 54, 0, -29, -4, -115, 18, 0, 147, 0, -67, -13, 0, -73, 166, 124, 67, 0, 58, -137, -60, -273, 0, -124, 58, 77, 109, 0, 0, 16, 59, -16, 0, 22, -53, -27, -9, 0, -14, -14, -4, -137, 0, 84, -187, -117, -160, 0, -22, 60, -23, -35, 0, -25, -26, 103, -110, 0, -18, 62, 204, -73, 0, -118, -12, 40, 0, 0, 67, 42, -114, -38, 0, -4, 65, -42, 145, 0, 63, -63, -42, -4, 0, 14, -21, 0, -16, 0, -38, -16, 239, -142, 0, 240, 37, -7, -76, 0, -20, -291, 26, -111, 0, -133, 0, 34, -1, 0, -86, -88, 173, 27, 0, 1, 141, 1, 26, 0, -66, -97, 63, -58, 0, 0, 121, 82, -25, 0, -84, -99, -98, -68, 0, -18, -123, 36, 104, 0, -161, 122, 57, 14, 0, -144, 114, 74, 115, 0, 87, -131, 215, 28, 0, -26, -153, -18, 97, 0, 139, -65, 66, 0, 0, 80, -47, -47, -60, 0, -4, -22, -77, -41, 0, -102, 287, -227, -104, 0, 100, -90, 0, -122, 0, -68, 0, 65, -107, 0, -39, 76, 149, -89, 0, 147, 81, 145, 4, 0, 150, 0, 21, 29, 0, -77, 175, 50, 0, 0, 66, 7, 140, -8, 0, -4, 123, 17, 127, 0, 0, -112, 1, -52, 0, 116, 256, -267, -84, 0, -27, 39, 128, -23, 0, 82, -94, -5, -160, 0, -7, -50, -1, -6, 0, 92, -24, 14, -3, 0, 35, -99, 108, 91, 0, -138, 70, 74, 0, 0, 253, -52, -93, -71, 0, 6, 72, 40, 72, 0, 55, -35, -91, -100, 0, -105, 20, 0, 62, 0, 176, -13, 41, 7, 0, 52, -112, -83, 48, 0, 36, -83, 70, -56, 0, 151, 0, -154, -190, 0, 72, -2, 91, -43, 0, -61, 141, -41, -218, 0, -78, 3, 137, 60, 0, 0, 68, 5, 56, 0, 9, -27, -162, -87, 0, -95, -20, 73, -36, 0, -34, -40, -70, 124, 0, 284, 152, -144, 120, 0, 56, -18, 87, -11, 0, 32, 172, 167, 39, 0, 59, 25, -98, 0, 0, 132, 105, -156, 122, 0, -156, 24, -100, -62, 0, 116, 103, -114, 46, 0, -93, 97, 0, 21, 0, 37, -39, -102, -85, 0, 39, 159, -126, 9, 0, 94, -49, 87, -270, 0, -17, 0, 151, -34, 0, 142, 139, 173, 200, 0, 77, 64, -24, 128, 0, -44, -94, 162, -89, 0, 0, -9, 111, 99, 0, 28, -1, -30, -138, 0, -170, 72, 16, -185, 0, 156, 122, -124, -61, 0, -42, 180, 111, 223, 0, 159, -19, 99, -5, 0, -9, -68, 72, 19, 0, 130, -165, 160, 0, 0, -10, -94, -198, -50, 0, -86, 150, -173, 25, 0, 68, -115, -20, -39, 0, 47, -174, 0, 94, 0, -39, 61, 75, -238, 0, 61, -278, -76, -35, 0, -2, -52, 162, 51, 0, -135, 0, 120, -165, 0, -106, -129, 119, -33, 0, -77, -165, 105, -150, 0, -269, 63, -63, 255, 0, 0, 5, 176, -93, 0, 20, 222, -235, -154, 0, -6, 74, 50, 5, 0, 143, 128, -69, -26, 0, -85, -23, 22, -8, 0, 215, -64, 243, 199, 0, 73, -52, -38, 21, 0, -34, 88, 100, 0, 0, 50, -114, -30, 127, 0, 37, -52, -65, -30, 0, 143, 28, -276, 74, 0, 183, 250, 0, -186, 0, 12, 23, -40, -24, 0, 138, 119, 94, 131, 0, 174, -79, 15, -102, 0, 216, 0, 88, -148, 0, -159, 166, 236, 137, 0, 50, -102, -55, 139, 0, -31, 32, 21, -31, 0, 0, 104, 96, -12, 0, 176, -18, -293, 98, 0, 82, 105, 125, -77, 0, 36, -217, 66, 13, 0, 16, 93, 83, 156, 0, 41, 123, 44, 55, 0, 20, 189, 106, 100, 0, -100, -110, -85, 0, 0, 211, -79, -52, -97, 0, -22, 70, 8, -87, 0, -57, -2, 11, -85, 0, -108, 137, 0, 47, 0, -211, -202, 162, -165, 0, 91, 43, -25, -56, 0, -47, -9, 19, -49, 0, -91, 0, -144, 24, 0, -151, -118, 166, 233, 0, -72, -12, 66, 49, 0, -92, -218, 249, -30, 0, 0, -110, 91, 237, 0, 23, -48, -154, -146, 0, 22, -109, 34, -112, 0, -46, 165, 78, 189, 0, 196, 124, -33, -11, 0, -27, -167, 243, -13, 0, -288, 16, 137, 195, 0, 162, -32, 100, 0, 0, 14, 33, -34, -72, 0, -230, -35, -77, 152, 0, -221, 143, -12, -228, 0, -107, -14, 0, 6, 0, 145, -116, 84, -110, 0, -67, 62, -96, -36, 0, 33, 91, -105, 129, 0, 139, 0, -25, 13, 0, 142, 83, 225, -98, 0, 124, -116, 78, -164, 0, -129, 187, 30, 3, 0, 0, 71, 23, -72, 0, 99, 231, 6, 117, 0, -50, 80, 192, -235, 0, 102, -18, -222, -198, 0, 154, 24, 10, -56, 0, 187, 97, 140, -21, 0, -35, -1, 113, -54, 0, 30, 34, 259, 0, 0, 37, 126, -104, -185, 0, -109, 179, 51, 61, 0, 171, -198, -276, 69, 0, -111, 21, 0, -2, 0, 134, 21, -2, 153, 0, 84, -176, 27, -21, 0, 55, -204, -70, 103, 0, 43, 0, 56, -43, 0, -35, 28, 113, -15, 0, 15, 91, 68, 24, 0, -106, 338, 67, 164, 0, 0, 78, 250, 36, 0, -17, 10, 28, -227, 0, 20, -55, 11, -78, 0, -90, -116, -95, -118, 0, -135, -28, -51, 265, 0, -65, -120, 230, 204, 0, -24, 242, 36, 100, 0, 138, 60, -95, 0, 0, -100, 146, -90, -50, 0, -168, -45, 135, 71, 0, 236, 252, -78, 51, 0, -14, 56, 0, -82, 0, 56, -85, -13, -164, 0, 171, 12, -140, 15, 0, 170, 59, 290, -182, 0, -98, 0, -104, -148, 0, -149, 109, 7, 156, 0, -48, -51, 51, -104, 0, 58, -102, 36, 161, 0, 0, -163, 91, 67, 0, -8, 13, -115, 105, 0, 33, -52, 148, 40, 0, -159, 48, 78, -92, 0, -140, 229, 178, -102, 0, 106, 16, 81, -40, 0, 78, -118, 91, 86, 0, 203, -195, -2, 0, 0, -4, -161, 77, 16, 0, 70, 117, 108, 217, 0, -62, 19, -136, -184, 0, 56, -188, 0, 53, 0, -113, 9, 55, 121, 0, 227, -37, 30, -109, 0, 41, -4, 244, -44, 0, 49, 0, 72, -153, 0, -183, -124, 46, 149, 0, -132, -99, -116, 14, 0, -107, 40, 38, -231, 0, 0, -267, -31, -121, 0, 28, 191, -120, -21, 0, 147, -70, 79, -22, 0, 182, 120, -98, -81, 0, 133, -124, 92, 180, 0, 64, 67, 197, -61, 0, 138, -297, 111, 122, 0, -49, 142, -43, 0, 0, -18, 70, -116, 9, 0, 16, 62, -136, -162, 0, -56, 5, 73, 253, 0, 30, 170, 0, -15, 0, -36, -77, -24, 55, 0, 18, -166, 95, 115, 0, -82, 93, -229, 220, 0, 187, 0, 59, 77, 0, -28, 92, 244, 111, 0, -67, 124, -98, -56, 0, -84, 120, 154, 187, 0, 0, 16, 105, 132, 0, 103, -65, -142, -166, 0, -27, 175, -58, -172, 0, 71, -250, -254, -143, 0, -63, 113, 22, -37, 0, 34, -69, -26, 12, 0, 221, 216, -4, 26, 0, -10, -89, 167, 0, 0, 129, 15, 101, -80, 0, -90, 57, -112, -86, 0, 68, 124, -43, -31, 0, -187, -4, 0, 239, 0, -152, 14, 163, -243, 0, -159, -34, -70, 8, 0, -13, -74, 69, -177, 0, -41, 0, 267, -96, 0, 123, -90, 172, -151, 0, -72, 142, 0, 67, 0, 45, -303, -3, -52, 0, 0, 66, 134, 144, 0, -72, -25, -117, 2, 0, -185, -188, -164, 47, 0, -27, 164, 98, 24, 0, -32, -42, 42, 154, 0, 133, -287, 73, 124, 0, 35, -49, -250, -22, 0, 259, -55, -16, 0, 0, 0, -62, -44, 26, 0, -382, 69, 55, 156, 0, 37, 202, -219, -66, 0, -98, -20, 0, -172, 0, -96, 73, 171, -128, 0, 98, 159, 38, -121, 0, 112, 90, 191, -79, 0, -132, 0, 77, -13, 0, -16, -109, -62, -47, 0, 68, -101, -16, 105, 0, 240, 86, -45, -99, 0, 0, -97, 170, 32, 0, -89, 100, -22, -20, 0, -295, 24, 114, -142, 0, -85, 140, 176, -55, 0, 153, -87, -54, 63, 0, 187, 44, -110, 23, 0, 50, -11, 189, 174, 0, 77, 95, -34, 0, 0, -294, 4, -73, -154, 0, 16, 36, -68, 28, 0, 67, -108, -225, -61, 0, 11, -79, 0, 17, 0, 289, -211, 50, 83, 0, 159, -12, -132, 263, 0, -93, -24, 24, 63, 0, 186, 0, -129, -163, 0, 12, -94, 135, -7, 0, -275, 72, -91, -239, 0, -46, 10, -90, 104, 0, 0, 244, -5, 139, 0, -222, -76, 34, -108, 0, 170, 243, 142, -98, 0, -101, -175, 92, 213, 0, 158, 114, -165, -126, 0, -76, 60, -131, -65, 0, -199, 131, 61, 101, 0, -215, -182, -46, 0, 0, 182, 28, -32, 121, 0, -22, -145, 81, 196, 0, 156, 23, 140, 77, 0, 38, 166, 0, 54, 0, 14, 22, -129, -75, 0, 85, -36, -40, 58, 0, 18, -88, -59, -100, 0, -85, 0, 169, -94, 0, -151, 64, 101, -151, 0, 165, -36, 196, 200, 0, -162, -140, 164, -70, 0, 0, -3, 6, -159, 0, -21, -6, 74, 42, 0, 111, -186, 81, 6, 0, 209, 65, -40, -90, 0, -265, 7, -95, 77, 0, -48, -77, 179, -25, 0, 11, -86, -38, -408, 0, -51, -72, 112, 0, 0, -13, -172, 19, -130, 0, 24, 11, -27, -317, 0, -208, -63, 6, -81, 0, 205, -52, 0, -99, 0, 30, -21, -94, -131, 0, -124, -300, -64, -73, 0, -33, -102, 5, 144, 0, -292, 0, 121, 122, 0, -47, -13, 40, 2, 0, -68, -22, 15, -176, 0, 91, 138, -88, 178, 0, 0, -85, 39, -175, 0, 6, -40, -79, -45, 0, 67, 70, -79, 24, 0, 345, 203, -62, -104, 0, -156, 89, 142, -124, 0, 47, 141, 172, -260, 0, -34, 90, -184, -2, 0, 16, 269, 129, 0, 0, 95, 37, 150, 57, 0, 20, -77, -41, -77, 0, 14, -164, -175, 16, 0, -238, -182, 0, 17, 0, 8, -189, 9, 214, 0, -171, 187, 39, -258, 0, 292, -84, -87, 96, 0, -104, 0, -58, -153, 0, 81, 91, -223, -7, 0, -39, -38, -126, -130, 0, 49, 205, 40, -24, 0, 0, -138, 66, -76, 0, 231, -254, -212, 289, 0, -45, 196, -215, 164, 0, -75, -244, 188, 26, 0, 113, -80, 6, 154, 0, -291, -38, 0, -43, 0, -174, -12, 152, 42, 0, -25, -35, -14, 0, 0, 18, 62, 72, -25, 0, 26, 14, 128, 80, 0, 133, 45, 141, -32, 0, -202, 131, 0, 33, 0, -49, 52, 22, -14, 0, -7, -132, 132, 109, 0, 39, 28, -174, -91, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "475.2.e.f", "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, 0, 0, -1, 0], [-1, 1, 0, 1, 0, 0], [0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, -1], [0, 0, 1, 0, 0, 0], [-1, 0, 0, 1, 0, 0], [1, -1, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 1, -1], [-1, 1, 1, 0, -1, 1], [-1, 1, 0, -1, -1, 1], [-1, 0, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 2, 0, 0], [1, -1, 0, 0, 0, -1], [-1, 1, 0, 0, -2, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, 0, -4, 0, 1], [-1, 1, 1, 2, -2, -1], [1, 0, 0, 2, 0, 1], [2, -1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0], [4, -3, -1, -2, 1, -1], [-2, 0, 1, 2, -2, 0], [-1, 2, -1, 1, 1, 0], [0, -1, -2, 1, 1, -1], [0, 0, 0, 0, 0, 0], [-1, 1, -1, 0, -1, 1], [0, 0, 0, -2, 3, 0], [4, 0, 0, -1, -3, 2], [-1, 3, 1, 1, -1, 1], [0, 0, 0, 0, 0, 0], [3, -3, 0, -2, 2, -1], [2, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, -2, 1, -1, 5, -2], [0, 0, 0, 0, 0, 0], [0, 1, -1, -1, 3, 0], [3, -1, -1, -1, -3, 1], [-3, 1, -1, 1, 0, 0], [4, -1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-2, -2, -1, -1, 2, 0], [2, 0, 2, -3, -1, 1], [3, -1, -2, -1, 0, 0], [1, 0, -1, 2, -2, 1], [0, 0, 0, 0, 0, 0], [-2, 1, 0, 1, -4, 1], [0, 3, 1, 3, -3, 2], [-1, -4, 1, -1, 1, -1], [1, 0, 0, -1, 6, -1], [0, 0, 0, 0, 0, 0], [2, -2, 0, -2, -1, 1], [0, 0, 0, 0, 0, 0], [-2, 3, 1, 0, 0, 3], [4, -2, 2, 1, -5, -1], [0, 0, 0, 0, 0, 0], [5, -1, 1, -4, 0, 2], [4, -3, -1, -3, 2, 0], [-8, 1, 1, 1, 2, -1], [-2, 0, 0, -1, -5, 0], [0, 0, 0, 0, 0, 0], [7, -4, -2, -5, 0, 0], [1, -2, 0, 3, -3, 0], [1, -3, -1, -1, 1, -2], [0, 1, -2, 1, 3, -1], [0, 0, 0, 0, 0, 0], [1, 4, -1, 3, -1, 2], [-3, 3, 1, 3, -1, -1], [-1, -1, 0, -4, 4, 1], [-2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, -2, -5, -1, 1], [-12, 6, 2, 8, -7, 1], [-2, 1, -1, 4, 5, 0], [0, 0, 0, 0, 0, 0], [2, -2, 1, -3, -1, -1], [-3, -1, 0, 2, -5, 0], [4, 1, 0, 5, -2, -3], [5, 1, -1, 3, 1, 0], [0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 3, 0], [-2, 3, -1, 8, -5, 0], [-2, -1, -2, -2, 0, 2], [4, -2, -1, -4, -4, -1], [0, 0, 0, 0, 0, 0], [-5, 3, -1, 3, 4, -2], [-6, 2, 0, -3, 1, 1], [1, -1, 0, 3, 5, -3], [3, -2, -1, 0, -3, -2], [0, 0, 0, 0, 0, 0], [-2, 3, 2, 0, -3, 3], [1, -3, -1, 1, -1, 2], [3, -2, -1, -4, 4, 1], [-4, -2, 1, 4, 6, -2], [0, 0, 0, 0, 0, 0]]}