# Stored data for newform 6026.2.a.j, downloaded from the LMFDB on 18 April 2024. {"label": "6026.2.a.j", "space_label": "6026.2.a", "level": 6026, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679894922, "dim": 33, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-92016, -255192, 9700214, -20347029, -106719634, 221520305, 497199980, -862734789, -1305184274, 1716967700, 2093242794, -2031628884, -2137699320, 1582396766, 1456250863, -864820170, -687331921, 344242475, 230509719, -101668329, -55652179, 22385216, 9688729, -3650865, -1203529, 433361, 103878, -36253, -5910, 2019, 199, -67, -3, 1]], [5, [5425110, -118687785, -2579332009, 2846362206, 27961235457, -17054471204, -105842325372, 30273658785, 201341769677, -11842929875, -218028180566, -17121887074, 147496696206, 23671036198, -66531235582, -13960491112, 20882011125, 4996212820, -4680299396, -1197883236, 758704608, 200470842, -89054238, -23774155, 7484524, 1991845, -438324, -115344, 16959, 4393, -389, -99, 4, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24104, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 48.11785225802356, "level_radical": 6026, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6026, 1, [787, 4325], [1, 1]], "inner_twist_count": 1, "level_primes": [2, 23, 131], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 33, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [23, -1], [131, 1]], "trace_display": [-33, 3, -4, 11], "traces": [33, -33, 3, 33, -4, -3, 11, -33, 44, 4, 5, 3, 15, -11, 16, 33, 2, -44, 32, -4, 8, -5, 33, -3, 49, -15, 15, 11, 20, -16, 25, -33, -6, -2, 15, 44, 6, -32, 25, 4, 2, -8, 31, 5, 2, -33, 4, 3, 72, -49, 26, 15, -65, -15, -4, -11, 12, -20, 8, 16, 23, -25, -14, 33, 5, 6, 31, 2, 3, -15, 20, -44, 22, -6, -32, 32, 2, -25, 53, -4, 17, -2, 45, 8, 60, -31, 11, -5, -54, -2, 38, 33, 63, -4, 44, -3, 0, -72, 43, 49, 47, -26, 46, -15, -49, 65, 17, 15, 74, 4, 27, 11, -38, -12, -4, 20, 25, -8, -1, -16, 84, -23, 19, 25, -45, 14, 14, -33, 26, -5, -33, -6, 48, -31, 14, -2, -107, -3, 73, 15, 94, -20, -78, 44, -13, -22, 63, 6, 56, 32, 34, -32, -8, -2, 19, 25, -23, -53, -3, 4, 11, -17, 65, 2, -1, -45, -13, -8, 136, -60, 115, 31, -8, -11, 142, 5, 24, 54, 56, 2, 62, -38, -1, -33, -36, -63, 183, 4, -74, -44, -27, 3, 19, 0, 93, 72, -7, -43, 80, -49, 70, -47, 39, 26, 82, -46, 44, 15, -30, 49, 16, -65, -122, -17, -50, -15, 33, -74, 112, -4, -4, -27, 51, -11, 24, 38, 69, 12, 13, 4, 128, -20, 43, -25, 16, 8, 27, 1, 74, 16, 118, -84, -47, 23, 2, -19, 73, -25, 62, 45, 53, -14, 5, -14, 54, 33, -20, -26, 69, 5, 42, 33, -50, 6, 138, -48, 101, 31, -83, -14, 24, 2, -93, 107, 51, 3, 100, -73, 98, -15, -61, -94, 22, 20, 70, 78, -3, -44, 85, 13, 180, 22, -36, -63, 56, -6, 22, -56, 15, -32, 91, -34, 45, 32, -38, 8, 52, 2, 56, -19, -23, -25, -3, 23, -16, 53, 2, 3, 116, -4, -95, -11, 150, 17, 116, -65, -17, -2, -40, 1, 169, 45, 15, 13, 20, 8, 52, -136, 66, 60, 1, -115, 79, -31, 16, 8, 123, 11, 140, -142, -6, -5, 15, -24, 137, -54, 156, -56, 55, -2, 109, -62, 1, 38, -71, 1, -67, 33, 154, 36, 174, 63, -10, -183, -38, -4, -21, 74, 222, 44, 23, 27, -35, -3, 96, -19, 113, 0, 28, -93, 2, -72, -3, 7, 188, 43, -77, -80, -115, 49, 32, -70, 200, 47, 139, -39, -120, -26, 131, -82, 116, 46, -137, -44, 55, -15, -32, 30, -43, -49, -14, -16, 121, 65, -72, 122, 53, 17, 74, 50, -13, 15, -57, -33, 294, 74, 32, -112, 124, 4, 153, 4, 20, 27, 41, -51, 81, 11, 57, -24, 105, -38, -4, -69, -52, -12, 104, -13, 145, -4, 85, -128, 168, 20, -136, -43, -122, 25, 255, -16, 125, -8, -78, -27, 119, -1, -140, -74, -19, -16, 203, -118, 8, 84, -99, 47, 36, -23, -99, -2, 51, 19, 83, -73, 125, 25, -88, -62, 157, -45, 146, -53, -57, 14, -23, -5, 239, 14, 76, -54, 12, -33, -63, 20, 154, 26, 91, -69, 50, -5, -29, -42, 45, -33, -132, 50, -2, -6, 33, -138, 48, 48, -80, -101, -39, -31, -62, 83, 49, 14, 306, -24, 64, -2, -167, 93, 91, -107, 21, -51, -20, -3, 129, -100, 176, 73, -81, -98, 13, 15, 241, 61, 79, 94, 117, -22, 239, -20, -80, -70, 39, -78, 97, 3, 49, 44, -152, -85, 98, -13, -98, -180, -45, -22, 148, 36, 141, 63, 92, -56, 8, 6, 104, -22, 137, 56, -225, -15, -16, 32, 71, -91, 43, 34, -247, -45, 229, -32, 202, 38, -2, -8, 81, -52, 213, -2, -162, -56, 216, 19, 15, 23, -59, 25, 13, 3, -38, -23, -40, 16, 370, -53, 223, -2, 118, -3, 49, -116, 113, 4, -21, 95, 26, 11, 111, -150, 33, -17, 41, -116, -62, 65, -64, 17, 4, 2, 177, 40, 59, -1, 63, -169, -56, -45, 243, -15, 20, -13, 104, -20, 72, -8, -25, -52, -171, 136, -86, -66, 229, -60, 82, -1, -67, 115, 33, -79, -152, 31, -165, -16, 200, -8, 108, -123, 114, -11, 200, -140, 300, 142, 103, 6, 0, 5, 102, -15, 106, 24, -3, -137, 366, 54, 25, -156, 103, 56, 55, -55, -124, 2, 49, -109, 208, 62, 310, -1, 218, -38, -37, 71, 148, -1, 87, 67, -196, -33, -196, -154, 202, -36, -129, -174, -70, -63, 319, 10, 185, 183, -32, 38, 22, 4, -96, 21, 10, -74, 119, -222, -6, -44, 104, -23, 114, -27, -134, 35, -258, 3, 233, -96, 202, 19, 8, -113, -104, 0, 10, -28, 79, 93, -84, -2, 174, 72, -41, 3, -33, -7, -107, -188, 147, -43, 140, 77, -187, 80, -87, 115, 232, -49, -212, -32, 174, 70, 15, -200, -175, -47, 91, -139, 28, 39, -124, 120, 163, 26, 221, -131, 153, 82, 45, -116, 95, -46, -184, 137, -257, 44, 150, -55, 53, 15, -178, 32, -14, -30, 86, 43, 32, 49, 99, 14, 18, 16, -201, -121, -94, -65, 171, 72, 6, -122, -22, -53, -56, -17, -258, -74, -275, -50, 63, 13, 110, -15, 99, 57, -341, 33, 0, -294, 203, -74, -432, -32, 18, 112, 117, -124, 75, -4, -33, -153, 238, -4, -2, -20, -183, -27, 0, -41, -17, 51, -53, -81, 203, -11, 25, -57, 48, 24, 140, -105, -257, 38, -154, 4, 70, 69, 28, 52, -49, 12, -204, -104, -76, 13, -11, -145, 138, 4, 41, -85, 162, 128, -78, -168, 66, -20, 118, 136, 392, 43, -191, 122, 153, -25, -171, -255, -166, 16, -78, -125, 2, 8, -362, 78, 71, 27, -94, -119, -273, 1, -179, 140, 94, 74, -91, 19, -5, 16, 40, -203, -59, 118, -315, -8, 103, -84, -49, 99, -36, -47, 83, -36, 216, 23, -18, 99, -156, 2, 36, -51, -123, -19, -288, -83, 306, 73, 31, -125, -22, -25, 87, 88, 2, 62, -147, -157, -170, 45, 28, -146, 25, 53, -187, 57, 31, -14, -57, 23, -270, 5, -175, -239, -24, -14, -237, -76, 4, 54, 87, -12, 167, 33, -302, 63, 99, -20, -256, -154, 173, -26, 72, -91, 2, 69, -180, -50, -22, 5, -151, 29, -313, 42, 198, -45, -80, 33, -145, 132, 191, -50, -57, 2, -308, 6, -592, -33, -142, 138, -59, -48, -115, -48, -309, 80, 40, 101, 58, 39, -355, 31, -45, 62, 48, -83, -254, -49, 108, -14, 4, -306, -89, 24, 245, -64, -80, 2, -265, 167, -81, -93, 2, -91, -225, 107, -75, -21, 148, 51, -188, 20, -240, 3, -203, -129, 45, 100, -139, -176, -65, -73, 35, 81, 55, 98, 120, -13, 100, -15, -154, -241, -71, -61, 201, -79, 72, -94, -214, -117, 109, 22, -323, -239, -310, 20, -161, 80, 98, 70, 50, -39, -36, 78, -164, -97, -121, -3, -402, -49, 80, -44, -30, 152, -263, 85, -126, -98, 292, 13, 55, 98, -163, 180, -46, 45, -252, 22, -104, -148, 123, -36, 26, -141, -113, -63, 2, -92, -44, 56, -69, -8, -106, -6, 41, -104, -82, 22, -39, -137, -182, -56, -307, 225, -94, 15, -270, 16, -291, -32, -107, -71, -303, 91, -157, -43, 79, -34, -182, 247, -26, 45, -254, -229, -251, 32, -39, -202, -65, -38, 52, 2, 159, 8, -165, -81, -30, 52, -110, -213, 221, 2, -365, 162, 17, 56, -55, -216, -394, -19, -295, -15, 129, -23, -141, 59, -277, -25, 9, -13, 325, -3, -341, 38, -52, 23, -92, 40, -160, -16, -247, -370, -51, 53, -4, -223, -54, 2, 213, -118, -54, 3, -258, -49, 12, 116, -134, -113, -18, -4, -41, 21, 231, -95, -152, -26, -525, -11, -43, -111, -117, 150, -357, -33, -422, 17, -39, -41, 3, 116, -47, 62, 105, -65, -392, 64, 242, -17, -30, -4, 12, -2, -159, -177, 141, -40, -362, -59, -515, 1, 156, -63, -99, 169, -408, 56, 128, 45, -266, -243, -198, 15, -307, -20, -146, 13, 105, -104, 291, 20, 187, -72, -164, 8, -77, 25, -97, 52, 161, 171, 149, -136, -153, 86, 114, 66, 8, -229, -98, 60, -74, -82, -107, 1, -657, 67, -204, -115, 267, -33, 178, 79, -188, 152, -151, -31, -408, 165, -222, 16, -90, -200, -101, 8, -97, -108, -3, 123, 52, -114, -243, 11, 27, -200, 0, 140, -634, -300, -310, -142, 186, -103, 23, -6, 136, 0, -168, -5, -105, -102, -78, 15, -151, -106, 40, -24, -271, 3, -169, 137, 26, -366, -94, -54, -488, -25, -5, 156, 47, -103, -478, -56, -346, -55, 23, 55, -108, 124, -465, -2, -5, -49, -141, 109, -236, -208, 91, -62, -14, -310, 313, 1, -90, -218, -553, 38, -472, 37, 112, -71, -126, -148, -148, 1, -178, -87, 65, -67, -583, 196, -56, 33, -383, 196, -251, 154, -280, -202, -320, 36, -108, 129, 112, 174, -268, 70, -35, 63, 49, -319, -73, -10, -39, -185, 5, -183, -207, 32, 189, -38, -203, -22, -456, -4, -375, 96, 71, -21, -181, -10, 111, 74, 246, -119, -843, 222, -373, 6, -206, 44, 42, -104, -120, 23, -84, -114, -286, 27, 106, 134, 280, -35, -263, 258, -158, -3, -244, -233, 185, 96, 31, -202, -120, -19, 43, -8, 86, 113, -159, 104, 94, 0, -40, -10, 77, 28, -504, -79, -60, -93, -111, 84, 1, 2, -181, -174, -181, -72, -197, 41, -42, -3, 46, 33, 335, 7, -82, 107, 448, 188, -369, -147, -312, 43, -106, -140, 3, -77, 47, 187, 210, -80, -380, 87, -428, -115, 42, -232, 214, 49, 114, 212, 359, 32, -27, -174, -397, -70, -12, -15, 174, 200, 150, 175, -187, 47, -542, -91, 496, 139, 217, -28, -416, -39, -35, 124, -194, -120, -191, -163, -14, -26, 20, -221, 110, 131, 105, -153, -231, -82, 31, -45, 17, 116, 160, -95, -266, 46, 75, 184, 188, -137, -745, 257, -291, -44, -51, -150, -455, 55, -241, -53, -7, -15, -76, 178, 76, -32, -230, 14, 253, 30, -385, -86, 102, -43, 136, -32, 22, -49, 97, -99, 64, -14, -320, -18, -381, -16, -266, 201, 57, 121, -177, 94, -289, 65, -215, -171, 94, -72, -362, -6, -15, 122, 10, 22, -28, 53, -293, 56, 107, 17, 295, 258, -22, 74, -262, 275, 69, 50, 212, -63, -49, -13, -32, -110, -81, 15, 58, -99, 155, -57, -353, 341, -58, -33, -39, 0, -287, 294, 5, -203, -146, 74, -39, 432, -121, 32, 63, -18, 284, -112, 29, -117, -55, 124, -43, -75, 307, 4, -306, 33, 208, 153, -147, -238, -228, 4, 143, 2, 2, 20, 593, 183, 231, 27, -549, 0, -164, 41, 67, 17, 72, -51, -457, 53, 98, 81, 291, -203, -159, 11, -92, -25, -23, 57, -116, -48, -73, -24, 52, -140, 467, 105, 74, 257, -170, -38, 300, 154, 79, -4, -195, -70, 314, -69, 53, -28, 20, -52, -44, 49, -36, -12, -82, 204, 245, 104, 66, 76, 142, -13, -16, 11, 118, 145, -225, -138, 3, -4, -308, -41, -65, 85, -434, -162, -262, -128, 114, 78, 273, 168, -180, -66, 16, 20, -345, -118, 81, -136, 301, -392, 17, -43, 24, 191, 264, -122, -393, -153, 47, 25, -61, 171, 273, 255, -253, 166, -156, -16, -58, 78, -380, 125, -316, -2, -164, -8, -100, 362, 442, -78, -501, -71, 38, -27, 157, 94, 158, 119, 63, 273, 0, -1, -248, 179, 199, -140, 45, -94, 384, -74, 421, 91, -299, -19, -622, 5, -157, -16, 119, -40, 22, 203, 29, 59, 76, -118, -275, 315, 42, 8, -13, -103, 33, 84, -139, 49, -258, -99, 347, 36, 323, 47, 74, -83, -134, 36, -397, -216, 116, -23, 423, 18, 60, -99, 185, 156, -77, -2, 41, -36, -111, 51, -16, 123, 88, 19, -8, 288, 181, 83, -155, -306, -312, -73, -482, -31, -178, 125, 187, 22, 333, 25, -419, -87, 281, -88, -90, -2, -192, -62, 63, 147, 87, 157, -251, 170, 148, -45, 11, -28, 221, 146, -12, -25, 81, -53, 50, 187, 341, -57, 268, -31, 85, 14, -175, 57, 18, -23, -146, 270, -76, -5, -453, 175, 43, 239, 207, 24, 52, 14, 297, 237, 1037, 76, -61, -4, -117, -54, 381, -87, 0, 12, -330, -167, -54, -33, -12, 302, 244, -63, 235, -99, -357, 20, -362, 256, 334, 154, -67, -173, 99, 26, 58, -72, -300, 91, 81, -2, 14, -69, 155, 180, 11, 50, -378, 22, 427, -5, -98, 151, -136, -29, 83, 313, -6, -42, -82, -198, 408, 45, 38, 80, 196, -33, 272, 145, 471, -132, -260, -191, -62, 50, -210, 57, -126, -2, -109, 308, -47, -6, 149, 592, -20, 33, -465, 142, -265, -138, -421, 59, 423, 48, 513, 115, 228, 48, -77, 309, 101, -80, 429, -40, 170, -101, 342, -58, 63, -39, 221, 355, -68, -31, -738, 45, -220, -62, -6, -48, -25, 83, -292, 254, -59, 49, -514, -108, -150, 14, -127, -4, 98, 306, 284, 89, -110, -24, 9, -245, 412, 64, 288, 80, -139, -2, -39, 265, 274, -167, -356, 81, 150, 93, 44, -2, 212, 91, 391, 225, 297, -107, -145, 75, 103, 21, 99, -148, -76, -51, -47, 188, 351, -20, -227, 240, -125, -3, -65, 203, 245, 129, 117, -45, -163, -100, -37, 139, 389, 176, 216, 65, 109, 73, -204, -35, -2, -81, -88, -55, 0, -98, 55, -120, 39, 13, 7, -100, -228, 15, 129, 154, 211, 241, 112, 71, -204, 61, 238, -201, 216, 79, -269, -72, -491, 94, -160, 214, 66, 117, -349, -109, 411, -22, 420, 323, 99, 239, 440, 310, 333, -20, 113, 161, 391, -80, 43, -98, 202, -70, 139, -50, 94, 39, -312, 36, 98, -78, -549, 164, 220, 97, 109, 121, 287, 3, -449, 402, 69, 49, -253, -80, 329, 44, -189, 30, -543, -152, -119, 263, 198, -85, -396, 126, 545, 98, 69, -292, -13, -13, 230, -55, 47, -98, 219, 163, 176, -180, 211, 46, 312, -45, 163, 252, 69, -22, -19, 104, 84, 148, 41, -123, -637, 36, -557, -26, 22, 141, -166, 113, 335, 63, -281, -2, 591, 92, 227, 44, 171, -56, 505, 69, 382, 8, -287, 106, -559, 6, 46, -41, -43, 104, 305, 82, 509, -22, -64, 39, -381, 137, -8, 182, 50, 56, -404, 307, 547, -225, 164, 94, 232, -15, 124, 270, 213, -16, -376, 291, -129, 32, 329, 107, 862, 71, -386, 303, -391, -91, -512, 157, 163, 43, 184, -79, -49, 34, -194, 182, 224, -247, 105, 26, -324, -45, 36, 254, 440, 229, 38, 251, 80, -32, 625, 39, 198, 202, -271, 65, -565, 38, 22, -52, 170, -2, -566, -159, 150, -8, 399, 165, 132, 81, 56, 30, 211, -52, -623, 110, 131, 213, 17, -221, 175, -2, 282, 365, -210, -162, -175, -17, 219, -56, -205, 55, -294, 216, 196, 394, -230, 19, -203, 295, 77, 15, 59, -129, -86, 23, -32, 141, 54, -59, 785, 277, 130, 25, -164, -9, 519, 13, -39, -325, 100, 3, 458, 341, 74, -38, -101, 52, 485, -23, -215, 92, -34, -40, -392, 160, 547, 16, -299, 247, -47, 370, -259, 51, -1, -53, 501, 4, 182, 223, 154, 54, 105, -2, -19, -213, 418, 118, 401, 54, 219, -3, 101, 258, -280, 49, -302, -12, 51, -116, 27, 134, 449, 113, 187, 18, 370, 4, 34, 41, -41, -21, 340, -231, -34, 95, -341, 152, 8, 26, -489, 525, 8, 11, -459, 43, 88, 111, 25, 117, -522, -150, 401, 357, 390, 33, 123, 422, 95, -17, 54, 39, 303, 41, -127, -3, -38, -116, 484, 47, 644, -62, -395, -105, -321, 65, 68, 392, 415, -64, 275, -242, 3, 17, 229, 30, -531, 4, -104, -12, 114, 2, 452, 159, 92, 177, -401, -141, 316, 40, 55, 362, -300, 59, 22, 515, -10, -1, 191, -156, 128, 63, -4, 99, -200, -169, -289, 408, 290, -56, 143, -128, 280, -45, 185, 266, -106, 243, 186, 198, 465, -15, 47, 307, 84, 20, -210, 146, -13, -13, 22, -105, -195, 104, -60, -291, 344, -20, 215, -187, 395, 72, 255, 164, -197, -8, 236, 77, 25, -25, 306, 97, 33, -52, 360, -161, 112, -171, -369, -149, 320, 136, -477, 153, 146, -86, -317, -114, -213, -66, -163, -8, -28, 229, -41, 98, 35, -60, -23, 74, 525, 82, 460, 107, -240, -1, 142, 657, 521, -67, 51, 204, 336, 115, -1, -267, 576, 33, 278, -178, 180, -79, -687, 188, -214, -152, -283, 151, -8, 31, 33, 408, 351, -165, -407, 222, -239, -16, 321, 90, 591, 200, -407, 101, 46, -8, 765, 97, 300, 108, -111, 3, 129, -123, -171, -52, 372, 114, 532, 243, 84, -11, -341, -27, -211, 200, -214, 0, -168, -140, 277, 634, 881, 300, 187, 310, 131, 142, 222, -186, 229, 103, -368, -23, 176, 6, 226, -136, -303, 0, -365, 168, 455, 5, 434, 105, 71, 102, 487, 78, 791, -15, -113, 151, 67, 106, 19, -40, 40, 24, 85, 271, 5, -3, -193, 169, -534, -137, 6, -26, 308, 366, 71, 94, -41, 54, -202, 488, 178, 25, -235, 5, 165, -156, -213, -47, -371, 103, 228, 478, 388, 56, 107, 346, 134, 55, -32, -23, 466, -55, 96, 108, -45, -124, 78, 465, 710, 2, -2, 5, 101, 49, -196, 141, 33, -109, -330, 236, 105, 208, 222, -91, -482, 62, -537, 14, 114, 310, 158, -313, -140, -1, -442, 90, 137, 218, 245, 553, 327, -38, 116, 472, 116, -37, -192, -112, 866, 71, 14, 126, 680, 148, 701, 148, 134, -1, -697, 178, -298, 87, 337, -65, -115, 67, -496, 583, 40, -196, 110, 56, -202, -33, 53, 383, -349, -196, 130, 251, 95, -154, 40, 280, 259, 202, -224, 320, 384, -36, -69, 108, 8, -129, 190, -112, 26, -174, 94, 268, -129, -70, 54, 35, -303, -63, 144, -49, 509, 319, -30, 73, 416, 10, -79, 39, -242, 185, 134, -5, 182, 183, 258, 207, 37, -32, -1089, -189, 314, 38], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6026.2.a.j", "char_is_minimal": true, "conrey_index": 1, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}