# Stored data for newform 8046.2.a.s, downloaded from the LMFDB on 25 April 2024.
{"label": "8046.2.a.s", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326231406, "dim": 16, "is_polredabs": true, "trace_hash": 512563903994016721, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4260, -48580, 10545, 156722, 117, -186120, -16612, 102466, 15173, -27132, -5277, 3378, 752, -192, -46, 4, 1]], [11, [73728, 448512, -69120, -4159744, -4990272, 6747208, 14164162, 6234164, -617331, -829888, -58633, 38913, 4792, -794, -119, 6, 1]]], "qexp_display": "q-q^{2}+q^{4}-\\beta _{1}q^{5}+\\beta _{7}q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32184, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 64.2476334663222, "hecke_ring_index": 1, "level_radical": 894, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8046, 1, [299, 3727], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 149], "conrey_indexes": [1], "field_disc": 4209757505042040008759408384057143800, "field_disc_factorization": [[2, 3], [3, 1], [5, 2], [335051, 1], [162174665119, 1], [129125465802296617, 1]], "field_poly": [-4260, 48580, 10545, -156722, 117, 186120, -16612, -102466, 15173, 27132, -5277, -3378, 752, 192, -46, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.098", "prec": 17}, {"__RealLiteral__": 0, "data": "12.521", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "446.783", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "25324.497", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [149, -1]], "trace_display": [-16, 0, -4, 6], "traces": [0, 16, -16, 0, 16, -4, 0, 6, -16, 0, 4, -6, 0, 6, -6, 0, 16, -1, 0, 10, -4, 0, 6, -10, 0, 28, -6, 0, 6, -6, 0, 21, -16, 0, 1, -16, 0, 17, -10, 0, 4, 4, 0, 16, -6, 0, 10, -25, 0, 36, -28, 0, 6, -14, 0, 19, -6, 0, 6, -6, 0, 23, -21, 0, 16, -20, 0, 22, -1, 0, 16, -10, 0, 16, -17, 0, 10, 2, 0, 37, -4, 0, -4, -33, 0, 43, -16, 0, 6, 3, 0, 28, -10, 0, 25, -14, 0, -3, -36, 0, 28, -34, 0, 34, -6, 0, 14, -40, 0, 40, -19, 0, 6, 13, 0, 13, -6, 0, 6, -47, 0, 98, -23, 0, 21, 0, 0, 20, -16, 0, 20, 36, 0, 44, -22, 0, 1, -24, 0, 70, -16, 0, 10, 43, 0, -2, -16, 0, 17, 16, 0, 20, -10, 0, -2, -55, 0, 36, -37, 0, 4, 16, 0, 29, 4, 0, 33, 18, 0, 34, -43, 0, 16, -14, 0, 86, -6, 0, -3, -13, 0, 40, -28, 0, 10, 56, 0, 45, -25, 0, 14, -21, 0, 72, 3, 0, 36, 48, 0, 34, -28, 0, 34, 16, 0, 14, -34, 0, 6, -5, 0, 104, -14, 0, 40, -25, 0, 21, -40, 0, 19, 38, 0, -12, -6, 0, -13, -52, 0, 60, -13, 0, 6, 24, 0, -12, -6, 0, 47, 34, 0, 16, -98, 0, 23, -39, 0, 66, -21, 0, 0, 37, 0, -4, -20, 0, 16, 37, 0, -2, -20, 0, -36, -66, 0, 113, -44, 0, 22, -1, 0, 24, -1, 0, 24, 110, 0, 21, -70, 0, 16, 9, 0, 57, -10, 0, -43, 61, 0, 25, 2, 0, 16, 70, 0, 34, -17, 0, -16, -15, 0, 51, -20, 0, 10, 108, 0, -1, 2, 0, 55, 30, 0, -15, -36, 0, 37, -86, 0, 148, -4, 0, -16, -84, 0, -28, -29, 0, -4, 108, 0, 22, -33, 0, -18, -35, 0, 102, -34, 0, 43, 60, 0, -9, -16, 0, 14, -13, 0, 19, -86, 0, 6, -32, 0, 109, 3, 0, 13, 2, 0, -62, -40, 0, 28, 84, 0, -39, -10, 0, -56, -28, 0, 80, -45, 0, 25, 73, 0, -25, -14, 0, 21, 74, 0, -20, -72, 0, -3, -6, 0, 47, -36, 0, -48, 13, 0, -37, -34, 0, 28, 95, 0, 91, -34, 0, -16, -17, 0, 124, -14, 0, 34, 31, 0, -24, -6, 0, 5, 44, 0, 29, -104, 0, 14, -26, 0, 71, -40, 0, 25, -42, 0, -12, -21, 0, 40, 55, 0, 95, -19, 0, -38, -37, 0, 45, 12, 0, 6, 71, 0, -9, 13, 0, 52, 105, 0, 53, -60, 0, 13, -31, 0, 44, -6, 0, -24, 14, 0, -28, 12, 0, 6, 106, 0, -36, -47, 0, -34, 11, 0, 50, -16, 0, 98, 0, 0, -62, -23, 0, 39, 116, 0, 46, -66, 0, 21, -6, 0, 113, 0, 0, -37, -2, 0, 16, 4, 0, 20, 45, 0, 46, -16, 0, -37, -91, 0, 47, 2, 0, 20, 122, 0, -17, 36, 0, 66, 70, 0, 6, -113, 0, 44, -57, 0, 23, -22, 0, 1, -16, 0, -2, -24, 0, 1, 170, 0, 70, -24, 0, -110, -22, 0, 59, -21, 0, 70, 37, 0, -9, -16, 0, -9, 74, 0, 3, -57, 0, 10, 100, 0, 15, 43, 0, -61, 36, 0, -138, -25, 0, -2, 128, 0, 111, -16, 0, -70, -13, 0, 209, -34, 0, 17, 111, 0, -105, 16, 0, 15, 94, 0, 107, -51, 0, 20, -45, 0, 59, -10, 0, -108, 73, 0, -59, 1, 0, -2, 69, 0, 117, -55, 0, -30, 18, 0, 132, 15, 0, 36, 183, 0, -96, -37, 0, 86, 96, 0, -56, -148, 0, 4, 55, 0, 109, 16, 0, 84, -15, 0, -125, 28, 0, 29, 117, 0, -7, 4, 0, -108, -28, 0, 26, -22, 0, 33, 156, 0, -3, 18, 0, 35, 80, 0, 75, -102, 0, 34, -56, 0, 204, -43, 0, -60, 60, 0, -176, 9, 0, 16, 101, 0, 34, -14, 0, 13, -32, 0, 15, -19, 0, 86, 94, 0, -66, -6, 0, 32, 94, 0, -4, -109, 0, -3, 96, 0, 157, -13, 0, -2, -83, 0, -26, 62, 0, 40, 169, 0, 61, -28, 0, -84, -86, 0, 2, 39, 0, 10, 221, 0, -166, 56, 0, 28, 77, 0, -4, -80, 0, 45, 20, 0, 95, -25, 0, -73, 36, 0, -88, 25, 0, 14, 145, 0, 37, -21, 0, -74, -129, 0, 150, 20, 0, 72, 95, 0, -72, 3, 0, 6, -4, 0, 159, -47, 0, 36, 116, 0, 47, 48, 0, -13, 91, 0, -131, 37, 0, 34, 129, 0, 37, -28, 0, -95, -34, 0, 105, -91, 0, 34, 30, 0, -86, 16, 0, 17, 210, 0, -71, -124, 0, 14, -21, 0, 114, -34, 0, -31, -61, 0, 14, 24, 0, 6, 195, 0, 70, -5, 0, -44, -16, 0, 100, -29, 0, 104, 172, 0, -179, -14, 0, 26, 208, 0, -22, -71, 0, 40, 16, 0, 44, -25, 0, 42, -113, 0, -93, 12, 0, 21, 127, 0, 90, -40, 0, -55, -61, 0, 97, -95, 0, 19, 210, 0, -17, 38, 0, 37, 48, 0, 95, -45, 0, -12, 87, 0, 95, -6, 0, -71, 106, 0, -77, 9, 0, -13, 193, 0, -115, -52, 0, -105, -28, 0, 55, -53, 0, 60, 144, 0, -64, -13, 0, 31, 165, 0, 55, -44, 0, 6, 63, 0, -3, 24, 0, -14, 82, 0, -28, 28, 0, -12, 73, 0, -18, -6, 0, -106, -173, 0, 143, 36, 0, 47, 163, 0, -331, 34, 0, -11, 127, 0, 125, -50, 0, 16, 68, 0, 6, -98, 0, 0, 175, 0, -149, 62, 0, 23, 53, 0, 48, -39, 0, -116, -108, 0, -4, -46, 0, 66, 97, 0, -3, -21, 0, 6, -28, 0, 30, -113, 0, 0, 34, 0, -17, 37, 0, 2, 121, 0, -98, -16, 0, -4, 53, 0, -59, -20, 0, -45, 16, 0, 68, -46, 0, 16, 219, 0, -196, 37, 0, 91, 197, 0, -125, -47, 0, -2, -14, 0, 130, -20, 0, -122, 6, 0, -208, 17, 0, -36, 42, 0, 127, -66, 0, -70, -47, 0, 83, -6, 0, 113, 155, 0, -176, -44, 0, 57, 34, 0, -47, -23, 0, 22, 89, 0, 112, -1, 0, 16, -17, 0, -149, 2, 0, 24, 37, 0, -22, -1, 0, -170, 58, 0, -4, -70, 0, 24, 253, 0, -115, 110, 0, 22, -54, 0, -35, -59, 0, 21, -41, 0, -6, -70, 0, -37, 5, 0, -258, 9, 0, 16, -30, 0, 28, 9, 0, -74, -236, 0, 133, -3, 0, 57, 8, 0, -164, -10, 0, -100, 13, 0, 59, -15, 0, -43, 45, 0, -16, 61, 0, -36, -39, 0, -67, 138, 0, 25, -66, 0, 75, 2, 0, -128, -133, 0, -3, -111, 0, 16, 204, 0, -162, 70, 0, 13, 132, 0, -124, -209, 0, 34, 114, 0, -6, -17, 0, -111, -104, 0, -160, 105, 0, -16, 73, 0, 9, -15, 0, -94, -105, 0, 57, -107, 0, 51, 161, 0, -143, -20, 0, 45, -90, 0, 26, -59, 0, 10, -20, 0, 135, 108, 0, -73, 26, 0, -272, 59, 0, -1, -101, 0, 67, 2, 0, -69, -81, 0, -3, -117, 0, 55, 241, 0, -235, 30, 0, -18, 50, 0, 23, -132, 0, -15, -8, 0, -100, -36, 0, -183, -17, 0, -14, 96, 0, 37, -50, 0, 21, -86, 0, -96, -153, 0, -43, 56, 0, 148, 256, 0, -120, -4, 0, -55, -30, 0, -96, -109, 0, -16, 24, 0, -3, -84, 0, 15, -74, 0, -118, 125, 0, -28, 30, 0, 30, -29, 0, -117, -74, 0, -52, 7, 0, -4, 37, 0, -24, 108, 0, 28, -28, 0, 66, -26, 0, 22, -30, 0, 78, -33, 0, -156, 156, 0, -197, 3, 0, -18, 38, 0, -2, -35, 0, -80, 17, 0, 40, -75, 0, 102, -4, 0, -119, -34, 0, 56, -98, 0, -251, -204, 0, 43, 13, 0, -162, 60, 0, -60, -15, 0, -85, 176, 0, -9, -28, 0, -33, -16, 0, -101, -229, 0, -21, -34, 0, 14, 419, 0, -163, -13, 0, 32, 56, 0, -46, -15, 0, 19, -89, 0, 130, -86, 0, -94, -91, 0, -249, 66, 0, 6, -24, 0, -34, -32, 0, -94, -3, 0, -134, 4, 0, 109, 179, 0, -86, 3, 0, -96, -199, 0, 102, -157, 0, 13, 88, 0, -80, 2, 0, 83, -110, 0, -252, 26, 0, -62, -56, 0, -145, -40, 0, -169, -86, 0, -111, -61, 0, 28, 74, 0, -100, 84, 0, 86, 105, 0, -35, -2, 0, -39, 87, 0, -6, -10, 0, -221, -281, 0, -78, 166, 0, -56, -12, 0, -1, -28, 0, -77, -204, 0, -34, 4, 0, 80, 228, 0, -321, -45, 0, -20, -117, 0, -41, -95, 0, 25, -13, 0, 27, 73, 0, -36, 85, 0, -25, 88, 0, -25, 29, 0, 33, -14, 0, -145, -287, 0, -60, -37, 0, 21, 186, 0, 7, 74, 0, 129, -220, 0, 119, -150, 0, -20, 15, 0, -189, -72, 0, -95, 174, 0, -88, 72, 0, -3, -82, 0, -156, -6, 0, 4, -122, 0, 45, -159, 0, 47, 46, 0, -247, -36, 0, -116, 51, 0, -118, -47, 0, -48, 102, 0, 4, 13, 0, -91, -227, 0, -193, 131, 0, -37, -86, 0, 235, -34, 0, -129, -82, 0, -62, -37, 0, 28, 320, 0, -324, 95, 0, 34, -160, 0, -115, -105, 0, 91, -77, 0, -184, -34, 0, -30, -56, 0, -186, 86, 0, -16, -100, 0, -136, -17, 0, -210, -56, 0, -194, 71, 0, 124, -22, 0, -6, -14, 0, 21, -31, 0, -43, -114, 0, 34, -63, 0, -52, 31, 0, 61, 23, 0, -249, -14, 0, -24, -40, 0, -144, -6, 0, -195, -252, 0, 53, -70, 0, 5, 30, 0, 29, 44, 0, 16, -73, 0, 30, -100, 0, 29, -95, 0, -231, -104, 0, -172, 27, 0, -55, 179, 0, 14, -167, 0, 31, -26, 0, -208, -258, 0, -43, 22, 0, 71, 180, 0, -279, -40, 0, -16, -207, 0, -61, -44, 0, 25, 90, 0, 139, -42, 0, 113, -369, 0, -107, 93, 0, -12, -244, 0, -70, -21, 0, -127, -241, 0, -69, -90, 0, 40, 327, 0, -175, 55, 0, 61, -118, 0, -9, -97, 0, 95, -139, 0, -6, -19, 0, -210, -31, 0, -278, 17, 0, -38, -183, 0, -140, -37, 0, -48, -306, 0, -30, -95, 0, 45, 78, 0, -156, 12, 0, -87, -125, 0, 35, -95, 0, 6, 134, 0, -92, 71, 0, -106, -168, 0, -163, 77, 0, -9, -19, 0, 142, 13, 0, -193, 0, 0, -163, 115, 0, 52, 170, 0, -254, 105, 0, 28, 38, 0, -231, -55, 0, 53, 45, 0, 141, -60, 0, -144, -277, 0, -182, 64, 0, 13, 15, 0, 78, -31, 0, -165, 83, 0, -30, -55, 0, 44, 55, 0, -17, -6, 0, -63, -436, 0, -99, 3, 0, -24, -50, 0, -242, 14, 0, -82, 10, 0, -116, 28, 0, -28, -311, 0, -57, 12, 0, -73, -97, 0, -130, 18, 0, 6, 307, 0, -141, 106, 0, 173, -178, 0, -78, -143, 0, -36, -64, 0, -321, -47, 0, -163, 23, 0, 155, 331, 0, -34, 187, 0, -98, 11, 0, -127, -135, 0, -75, -125, 0, 50, 320, 0, -237, -16, 0, -68, -97, 0, -5, -6, 0, 98, 6, 0, -177, 0, 0, -175, -255, 0, -372, 149, 0, -62, -239, 0, -84, -23, 0, -53, -161, 0, 112, -48, 0, 39, 218, 0, -45, 116, 0, 108, -252, 0, 56, 4, 0, 46, 19, 0, 50, -66, 0, -97, 4, 0, -229, 3, 0, 21, -64, 0, -255, -6, 0, 28, -41, 0, -26, -30, 0, 113, 12, 0, -112, 0, 0, -34, -76, 0, -91, 17, 0, -37, -101, 0, -179, -2, 0, -121, -97, 0, 72, 98, 0, 16, -190, 0, -173, 4, 0, -53, -127, 0, 110, 59, 0, 20, 214, 0, -260, 45, 0, -16, 38, 0, -139, -68, 0, 46, 95, 0, -119, -16, 0, -219, -74, 0, -76, 196, 0, -37, -164, 0, 133, -91, 0, -197, 213, 0, -106, 125, 0, 47, -43, 0, 120, 2, 0, 14, -22, 0, -207, -130, 0, 20, 54, 0, -32, 122, 0, -6, -70, 0, 53, 208, 0, -17, -90, 0, -72, 36, 0, -42, 94, 0, 30, -127, 0, 66, -241, 0, -162, 70, 0, 47, 66, 0, -218, -83, 0, 6, -181, 0, -192, -113, 0, -155, -133, 0, 42, 176, 0, 44, -279, 0, 181, -57, 0, -34, -165, 0, -153, 47, 0, 23, 183, 0, 30, -22, 0, -89, -305, 0, -189, -112, 0, 1, 84, 0, -63, -16, 0, 17, -407, 0, -40, 149, 0, -2, -32, 0, -135, -24, 0, -37, 56, 0, -80, 22, 0, 1, 264, 0, 100, 170, 0, -58, -96, 0, 105, 4, 0, 70, -125, 0, -26, -24, 0, -253, -154, 0, -60, 115, 0, -110, 266, 0, -177, -22, 0, 54, -528, 0, 285, 35, 0, 59, -28, 0, -96, -21, 0, 41, -131, 0, 207, 6, 0, 70, 81, 0, -23, 37, 0, -5, -82, 0, 22, 258, 0, -9, -310, 0, 208, -16, 0, 30, -169, 0, -109, -28, 0, -9, 144, 0, -159, 74, 0, 236, -56, 0, -162, -133, 0, 3, 248, 0, -96, -57, 0, -8, -196, 0, 228, 164, 0, 10, -322, 0, -186, 100, 0, -13, -28, 0, -54, -59, 0, 15, 54, 0, 105, 43, 0, -45, -240, 0, -4, 16, 0, -61, 62, 0, -7, 36, 0, 39, -69, 0, -261, 67, 0, -138, -163, 0, -53, -25, 0, 66, -66, 0, -81, -75, 0, -2, -8, 0, -53, 128, 0, 133, -105, 0, -66, 3, 0, 111, -33, 0, -195, -16, 0, -204, -249, 0, 70, 162, 0, -70, -166, 0, -12, -13, 0, -132, -124, 0, -115, 124, 0, 209, 158, 0, -91, -34, 0, -114, 14, 0, -458, 6, 0, 17, -1, 0, 93, 111, 0, 104, -119, 0, 118, 160, 0, -105, 51, 0, 272, 16, 0, -73, -347, 0, -7, -9, 0, 15, 29, 0, 168, 94, 0, 105, -253, 0, 276, -57, 0, 107, -363, 0, 67, -51, 0, -161, 57, 0, -29, 143, 0, 20, -54, 0, -290, -45, 0, 90, 21, 0, 125, -26, 0, 59, -75, 0, 62, -10, 0, 20, -19, 0, -313, -135, 0, -108, 434, 0, -97, 73, 0, -26, -326, 0, 230, 272, 0, -59, -97, 0, -117, 1, 0, 101, -258, 0, 82, -67, 0, -2, 500, 0, -43, 69, 0, 81, 167, 0, 91, 3, 0, 117, -116, 0, 232, -55, 0, -241, -73, 0, 305, 235, 0, -30, -131, 0, -118, 18, 0, -50, -26, 0, -321, -23, 0, 132, 394, 0, 216, 15, 0, 8, -278, 0, 134, 100, 0, 36, 280, 0, -100, 183, 0, 17, -285, 0, 77, 14, 0, -96, -217, 0, -244, -37, 0, 50, -122, 0, -1, -21, 0, 86, -170, 0, 5, 96, 0, 153, 36, 0, -42, 43, 0, -56, 48, 0, 32, -148, 0, -256, -213, 0, 21, 120, 0, 4, -19, 0, 279, 55, 0, 30, -187, 0, 412, 96, 0, 109, -37, 0, 121, 16, 0, -24, -231, 0, -80, 3, 0, 84, 9, 0, 46, -15, 0, 74, -214, 0, 210, 118, 0, -125, -397, 0, -44, 28, 0, -30, 146, 0, -277, -30, 0, 29, -70, 0, 295, 117, 0, 74, -62, 0, 8, 52, 0, -7, 18, 0, -199, 4, 0, -37, -155, 0, 44, 24, 0, -108, 169, 0, -110, -28, 0, 28, 12, 0, -28, -66, 0, 26, -148, 0, 159, -22, 0, 30, -172, 0, -7, -78, 0, 33, 60, 0, 92, 156, 0, -156, -230, 0, 65, 197, 0, -3, -220, 0, -35, 18, 0, -38, -241, 0, -112, 2, 0, 35, 603, 0, 141, 80, 0, -17, 26, 0, -59, -40, 0, 75, -113, 0, -28, -102, 0, 4, -411, 0, 134, 119, 0, 34, 187, 0, -168, -56, 0, 98, 110, 0, -68, 251, 0, 204, 85, 0, 230, -43, 0, -13, -53, 0, 341, 162, 0, -60, 115, 0, 198, 60, 0, 15, -255, 0, -49, 85, 0, -176, -115, 0, -302, 9, 0, 28, 36, 0, 376, 33, 0, 16, 63, 0, -385, 101, 0, 229, -16, 0, 206, 21, 0, 34, -94, 0, -301, -14, 0, -419, -191, 0, 553, 163, 0, 13, -230, 0, 298, -32, 0, -56, -227, 0, 35, 46, 0, 15, -52, 0, 26, -19, 0, 89, 37, 0, -341, -130, 0, 86, 205, 0, 0, 94, 0, 91, -176, 0, 334, 249, 0, -66, 124, 0, -47, -6, 0, 24, 190, 0, -279, 34, 0, 32, 289, 0, 94, 94, 0, 3, 10, 0, 80, 134, 0, -4, -461, 0, 273, -109, 0, -179, -251, 0, -23, 86, 0, -3, -123, 0, 119, 96, 0, 199, -122, 0, 34, -102, 0, 157, 69, 0, 206, -13, 0, -88, -163, 0, 223, 80, 0, -2, 101, 0, 8, -83, 0, 110, -83, 0, 246, 252, 0, -26, -104, 0, -19, 62, 0, 56, 79, 0, -27, 145, 0, 40, 600, 0, 440, 169, 0, 86, -23, 0, -270, 111, 0, 61, -247, 0, -36, -28, 0, -74, -446, 0, 77, 100, 0, -84, 76, 0, -36, -86, 0, -105, -316, 0, 153, 35, 0, 2, -67, 0, 176, 39, 0, -87, -180, 0, 314, 6, 0, 10, -206, 0, 326, 221, 0, 281, -109, 0, 264, 78, 0, -166, 98, 0, -86, 56, 0, 12, 185, 0, -16, 1, 0, 28, 182, 0, 250, 77, 0, 204, 128, 0, -96, 34, 0, -4, 129, 0, 57, -80, 0, -228, -319, 0, 459, 321, 0, 45, 54, 0, 130, 20, 0, 117, -163, 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": "8046.2.a.s", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [-1, 0, 0, 1, 1, -1, 0, 1, -1, 0, -1, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, -1, -1, 1, 0, 1, 0, -1, 0, 1, 1, -1, 0, 1], [-2, -1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, -1, 0, 0, 0, 0, 2, 0, -1, 2, -2, -2, 1], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 0, 0, 0, -1, 1, 1, -1, -1, -1, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 1, 1, 0], [-2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0], [0, -3, -2, -1, 0, 0, 2, 0, 1, 1, 0, -2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, 0, -1, 0], [-1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, -1, -1, 0, 0, -1, 2, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, -1, 0, 1, -1, 1, 1, -1, -1, -1, -1, 0, -1, -1, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -1, 0], [-1, -1, 1, -1, 0, 0, 0, 1, 1, -1, 0, -1, -1, 3, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, -1, 0, -1, 0, 1, 1, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 0, -1, 1, 0, 1, 0, 1, 0, -1, 1, -1, 0, -1, -1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, -1, 1, 0, -1, 1, 0, 1, 0, 0, 1, 0, -1], [-4, 1, -1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, -2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 2, 0, -1, 1, -2, 1, 0, 0, 2, 1, 0, 0, 1, 1], [-2, -1, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, -1, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}