# Stored data for newform 8024.2.a.ba, downloaded from the LMFDB on 14 May 2024. {"label": "8024.2.a.ba", "space_label": "8024.2.a", "level": 8024, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345195352, "dim": 30, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-77440, 859408, -2692752, -1862056, 22449434, -18701000, -63777093, 91348079, 87658162, -178976945, -62914352, 198083908, 19189125, -138843310, 4588900, 65146623, -6982611, -21064610, 3224027, 4750349, -871277, -744862, 152484, 79530, -17531, -5509, 1281, 223, -54, -4, 1]], [5, [74911904, -245932480, -848716120, 3354080624, 1378009820, -12242375148, 1991598962, 20656968776, -7553915311, -19509493683, 8904579352, 11412160207, -5728301512, -4407496712, 2317747297, 1170244643, -629450627, -218597820, 118582321, 28973505, -15701887, -2708716, 1456354, 174439, -92550, -7351, 3833, 182, -93, -2, 1]], [7, [1859584, 20494336, -27771392, -503123328, -255729600, 3761315328, 4094515976, -10663141638, -14249121001, 13564783948, 21451792165, -7954439707, -16653077729, 1940857921, 7451206181, 65705568, -2057088225, -147341960, 366129966, 36183402, -43241533, -4489006, 3429466, 323358, -180866, -13652, 6085, 313, -118, -3, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32096, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 64.07196258187538, "level_radical": 2006, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [8024, 1, [2007, 4013, 3777, 3129], [1, 1, 1, 1]], "inner_twist_count": 1, "level_primes": [2, 17, 59], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 30, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [17, 1], [59, -1]], "trace_display": [0, 4, 2, 3], "traces": [30, 0, 4, 0, 2, 0, 3, 0, 34, 0, 3, 0, 9, 0, 14, 0, -30, 0, 24, 0, 7, 0, 9, 0, 40, 0, 19, 0, 9, 0, 11, 0, -14, 0, 30, 0, -13, 0, 16, 0, -13, 0, 23, 0, 12, 0, 43, 0, 35, 0, -4, 0, -4, 0, 43, 0, 3, 0, 30, 0, 43, 0, 38, 0, 3, 0, 50, 0, 34, 0, 3, 0, -16, 0, 21, 0, 18, 0, 45, 0, 6, 0, 63, 0, -2, 0, 42, 0, 6, 0, 22, 0, -2, 0, 19, 0, -28, 0, 51, 0, 35, 0, 67, 0, -79, 0, 5, 0, 34, 0, 72, 0, -57, 0, 22, 0, 66, 0, -3, 0, 29, 0, 43, 0, 0, 0, 51, 0, 19, 0, 31, 0, 72, 0, 83, 0, -69, 0, 32, 0, -41, 0, 32, 0, 9, 0, 46, 0, 19, 0, 109, 0, -34, 0, 53, 0, 15, 0, 17, 0, -7, 0, 39, 0, 53, 0, 56, 0, 63, 0, 94, 0, -12, 0, 52, 0, 4, 0, 21, 0, 56, 0, 103, 0, 0, 0, -3, 0, -12, 0, 68, 0, 2, 0, 52, 0, -26, 0, 50, 0, 15, 0, 72, 0, 93, 0, 3, 0, -40, 0, 60, 0, 46, 0, 86, 0, -70, 0, 138, 0, -9, 0, 25, 0, 6, 0, 3, 0, 32, 0, 1, 0, -54, 0, 75, 0, 94, 0, 14, 0, 44, 0, 91, 0, 65, 0, 78, 0, 56, 0, 45, 0, 51, 0, -14, 0, -147, 0, 32, 0, 8, 0, 30, 0, 68, 0, 2, 0, 3, 0, 30, 0, -35, 0, 65, 0, 23, 0, 142, 0, -38, 0, 71, 0, -47, 0, 86, 0, 30, 0, 49, 0, 36, 0, 2, 0, -50, 0, 34, 0, 58, 0, 102, 0, -11, 0, 77, 0, 65, 0, 4, 0, 70, 0, 71, 0, -67, 0, 100, 0, 32, 0, -24, 0, 38, 0, 81, 0, -15, 0, 30, 0, -7, 0, 38, 0, 30, 0, 117, 0, -36, 0, 108, 0, -20, 0, 76, 0, 130, 0, 55, 0, -100, 0, 131, 0, -7, 0, 107, 0, 44, 0, 59, 0, 51, 0, 49, 0, 52, 0, 96, 0, 81, 0, 119, 0, -159, 0, -33, 0, 109, 0, 73, 0, 25, 0, 153, 0, 33, 0, -9, 0, -117, 0, 73, 0, -52, 0, 77, 0, -2, 0, -22, 0, 111, 0, 111, 0, 100, 0, 32, 0, 3, 0, 78, 0, 2, 0, 94, 0, 73, 0, 163, 0, -40, 0, 146, 0, 24, 0, -46, 0, -26, 0, -13, 0, 70, 0, 214, 0, 148, 0, 95, 0, -20, 0, 1, 0, -20, 0, 85, 0, -45, 0, 230, 0, -6, 0, -19, 0, -12, 0, 7, 0, -80, 0, 136, 0, 114, 0, 32, 0, -124, 0, 168, 0, 166, 0, 75, 0, 73, 0, 70, 0, 232, 0, 85, 0, -73, 0, 23, 0, -9, 0, 3, 0, -10, 0, 49, 0, 110, 0, 11, 0, 15, 0, 113, 0, 138, 0, 76, 0, -90, 0, 35, 0, 102, 0, 96, 0, -98, 0, 63, 0, -1, 0, -11, 0, -21, 0, 34, 0, -137, 0, 160, 0, -84, 0, 54, 0, 76, 0, -60, 0, -36, 0, -110, 0, 25, 0, 1, 0, -49, 0, 164, 0, 17, 0, 89, 0, 14, 0, 60, 0, 104, 0, 0, 0, -47, 0, -28, 0, 59, 0, 30, 0, -159, 0, 155, 0, 5, 0, 16, 0, 58, 0, -4, 0, 69, 0, -67, 0, -197, 0, -30, 0, -38, 0, 73, 0, 5, 0, 53, 0, -2, 0, 70, 0, -77, 0, 153, 0, -46, 0, -75, 0, -208, 0, 139, 0, 167, 0, 133, 0, -86, 0, 86, 0, 13, 0, 32, 0, -167, 0, -14, 0, 109, 0, -117, 0, -33, 0, 143, 0, 80, 0, 105, 0, 3, 0, -118, 0, 23, 0, 146, 0, -67, 0, 145, 0, 68, 0, -16, 0, -300, 0, -25, 0, -208, 0, 147, 0, -132, 0, -27, 0, -31, 0, 38, 0, -126, 0, -18, 0, 14, 0, 18, 0, -131, 0, 197, 0, -175, 0, 27, 0, 13, 0, 8, 0, -38, 0, 12, 0, -170, 0, 11, 0, 33, 0, 155, 0, -216, 0, 145, 0, 88, 0, 19, 0, 189, 0, 51, 0, -144, 0, 129, 0, -101, 0, -23, 0, -88, 0, -39, 0, -143, 0, 118, 0, -82, 0, -138, 0, 24, 0, 96, 0, 70, 0, -52, 0, -143, 0, 65, 0, -38, 0, 99, 0, -162, 0, 218, 0, -12, 0, 9, 0, -108, 0, -195, 0, 19, 0, 28, 0, 10, 0, -58, 0, 146, 0, -73, 0, -283, 0, 59, 0, 38, 0, 79, 0, -152, 0, -195, 0, 57, 0, -43, 0, -267, 0, -13, 0, -270, 0, -46, 0, -59, 0, 88, 0, -205, 0, 200, 0, -3, 0, 72, 0, 102, 0, 48, 0, -39, 0, -80, 0, -40, 0, 183, 0, -35, 0, 30, 0, -72, 0, -99, 0, 107, 0, -30, 0, 55, 0, 192, 0, 16, 0, 133, 0, 41, 0, -15, 0, -70, 0, 241, 0, -214, 0, 128, 0, -145, 0, 4, 0, -175, 0, 116, 0, -292, 0, -82, 0, 12, 0, 70, 0, -64, 0, 8, 0, 14, 0, 117, 0, -44, 0, 167, 0, 152, 0, 176, 0, -263, 0, 193, 0, 4, 0, -170, 0, -298, 0, -133, 0, 59, 0, -134, 0, -13, 0, 179, 0, -92, 0, 210, 0, -90, 0, 17, 0, -89, 0, 298, 0, -218, 0, 61, 0, -25, 0, -43, 0, -205, 0, 38, 0, -119, 0, 139, 0, -266, 0, -101, 0, 2, 0, 32, 0, -81, 0, -55, 0, 118, 0, 159, 0, 43, 0, -4, 0, -187, 0, 73, 0, -3, 0, 170, 0, -74, 0, -262, 0, -201, 0, 11, 0, 207, 0, 156, 0, 28, 0, -8, 0, 6, 0, -23, 0, -284, 0, 54, 0, -29, 0, 155, 0, -158, 0, -30, 0, -376, 0, 173, 0, -10, 0, 111, 0, 40, 0, -209, 0, 97, 0, -139, 0, 21, 0, -213, 0, -240, 0, 157, 0, 154, 0, -156, 0, -155, 0, 229, 0, -43, 0, 132, 0, -95, 0, -190, 0, 117, 0, -157, 0, -204, 0, 144, 0, -51, 0, 104, 0, -74, 0, -150, 0, 65, 0, 56, 0, -302, 0, -17, 0, 308, 0, -38, 0, -227, 0, 19, 0, -142, 0, 103, 0, -91, 0, -41, 0, 89, 0, 182, 0, -351, 0, 55, 0, 76, 0, 100, 0, -80, 0, 39, 0, -151, 0, 50, 0, -3, 0, -144, 0, 90, 0, -278, 0, -179, 0, -201, 0, 157, 0, 101, 0, 24, 0, 80, 0, -40, 0, 190, 0, 196, 0, -20, 0, -303, 0, -169, 0, -249, 0, -50, 0, -68, 0, 27, 0, -405, 0, -130, 0, -44, 0, 104, 0, 53, 0, -232, 0, 96, 0, -189, 0, -162, 0, -14, 0, 57, 0, -207, 0, -178, 0, 64, 0, -34, 0, -93, 0, -70, 0, -166, 0, 49, 0, 15, 0, 99, 0, 116, 0, 116, 0, -61, 0, -42, 0, 148, 0, -47, 0, 101, 0, -84, 0, -201, 0, 190, 0, -3, 0, -280, 0, -77, 0, -202, 0, -197, 0, -267, 0, -61, 0, 182, 0, 13, 0, 17, 0, -204, 0, -76, 0, 195, 0, -302, 0, -4, 0, 94, 0, 7, 0, 16, 0, -221, 0, 83, 0, 6, 0, 59, 0, -312, 0, 67, 0, -173, 0, -21, 0, 53, 0, 65, 0, -26, 0, -250, 0, 50, 0, -63, 0, 63, 0, -4, 0, -21, 0, -165, 0, 56, 0, 4, 0, 45, 0, -164, 0, -12, 0, -67, 0, 205, 0, 113, 0, -202, 0, 117, 0, -219, 0, 82, 0, 54, 0, -295, 0, 42, 0, -18, 0, -15, 0, -78, 0, -157, 0, 179, 0, -27, 0, 267, 0, 20, 0, 0, 0, 9, 0, -63, 0, -75, 0, 13, 0, -138, 0, -202, 0, -95, 0, -117, 0, -45, 0, -156, 0, -111, 0, 2, 0, 49, 0, -14, 0, -142, 0, 9, 0, 78, 0, -211, 0, -15, 0, 86, 0, -29, 0, 103, 0, -62, 0, -270, 0, 180, 0, -6, 0, -320, 0, 85, 0, -552, 0, -222, 0, -47, 0, 86, 0, 111, 0, -1, 0, -257, 0, -158, 0, 77, 0, -3, 0, -37, 0, 62, 0, -101, 0, -135, 0, -63, 0, -248, 0, -136, 0, -171, 0, -207, 0, -29, 0, -120, 0, 206, 0, 158, 0, 125, 0, 47, 0, -325, 0, 1, 0, 212, 0, -24, 0, -104, 0, 165, 0, 2, 0, -18, 0, -227, 0, -222, 0, 123, 0, -172, 0, 83, 0, 117, 0, 53, 0, 29, 0, 55, 0, -158, 0, -212, 0, 296, 0, -333, 0, 40, 0, 90, 0, -42, 0, -231, 0, 40, 0, -192, 0, -196, 0, 54, 0, -448, 0, -127, 0, -79, 0, -229, 0, -129, 0, 267, 0, -106, 0, -51, 0, -3, 0, -245, 0, 32, 0, -6, 0, -301, 0, 264, 0, -309, 0, -225, 0, -288, 0, 451, 0, 79, 0, -12, 0, 261, 0, 32, 0, -205, 0, 21, 0, -91, 0, -248, 0, -20, 0, -230, 0, -22, 0, 39, 0, -265, 0, -358, 0, -74, 0, 75, 0, -177, 0, 379, 0, -43, 0, -149, 0, -89, 0, -184, 0, 110, 0, 174, 0, -154, 0, -338, 0, 132, 0, 2, 0, -401, 0, 115, 0, -380, 0, 129, 0, -235, 0, 19, 0, -31, 0, -78, 0, 259, 0, -27, 0, -158, 0, -70, 0, -80, 0, -44, 0, -219, 0, -147, 0, -19, 0, -365, 0, -242, 0, -54, 0, -280, 0, -481, 0, 95, 0, 144, 0, 89, 0, -185, 0, -448, 0, 38, 0, -198, 0, 126, 0, 71, 0, -70, 0, 182, 0, 28, 0, -35, 0, -5, 0, -326, 0, 50, 0, 39, 0, 310, 0, 159, 0, -21, 0, 238, 0, 131, 0, -105, 0, -472, 0, 119, 0, -144, 0, 127, 0, 69, 0, -51, 0, -398, 0, -119, 0, 13, 0, 32, 0, 142, 0, -205, 0, -287, 0, 261, 0, -5, 0, -282, 0, -4, 0, 293, 0, 161, 0, 9, 0, -509, 0, 170, 0, -35, 0, -214, 0, -93, 0, -155, 0, 154, 0, -119, 0, 296, 0, -110, 0, -204, 0, 124, 0, 84, 0, -325, 0, 333, 0, 197, 0, -188, 0, 23, 0, -44, 0, -67, 0, -87, 0, -141, 0, -546, 0, 42, 0, -101, 0, -189, 0, 68, 0, 43, 0, -248, 0, 8, 0, -38, 0, 88, 0, 207, 0, -133, 0, -182, 0, 208, 0, 79, 0, 120, 0, 302, 0, -402, 0, -185, 0, 27, 0, 417, 0, -17, 0, 224, 0, -7, 0, -299, 0, -168, 0, -195, 0, -172, 0, -449, 0, -229, 0, -144, 0, -5, 0, -71, 0, -19, 0, 46, 0, -168, 0, 11, 0, 69, 0, -96, 0, 112, 0, 196, 0, -237, 0, -429, 0, -50, 0, 269, 0, -317, 0, -153, 0, 178, 0, -34, 0, -177, 0, -126, 0, -498, 0, 207, 0, -433, 0, 88, 0, 267, 0, -273, 0, 106, 0, -141, 0, -544, 0, -82, 0, 138, 0, -162, 0, -93, 0, 142, 0, -72, 0, -447, 0, -97, 0, -299, 0, -52, 0, -74, 0, 46, 0, -26, 0, 226, 0, -302, 0, -82, 0, -53, 0, -267, 0, 186, 0, 150, 0, -317, 0, -42, 0, 57, 0, -376, 0, 339, 0, -117, 0, -257, 0, -91, 0, 495, 0, 225, 0, -172, 0, -282, 0, 37, 0, -76, 0, 102, 0, -14, 0, -378, 0, 47, 0, 122, 0, -22, 0, -232, 0, -374, 0, -292, 0, -168, 0, 180, 0, -200, 0, 210, 0, 104, 0, -87, 0, -373, 0, -158, 0, 414, 0, 236, 0, 98, 0, -419, 0, 121, 0, -66, 0, -187, 0, -12, 0, -779, 0, 257, 0, 63, 0, 502, 0, 71, 0, 277, 0, -60, 0, -415, 0, -116, 0, -158, 0, 125, 0, -185, 0, -258, 0, 253, 0, 3, 0, -384, 0, -139, 0, -58, 0, -322, 0, -627, 0, -140, 0, 195, 0, -46, 0, -107, 0, -234, 0, -260, 0, 230, 0, 27, 0, -227, 0, 78, 0, -282, 0, -29, 0, -186, 0, 644, 0, -432, 0, 30, 0, -314, 0, 205, 0, 308, 0, 220, 0, 207, 0, 117, 0, -410, 0, 70, 0, -79, 0, -273, 0, 78, 0, -29, 0, -43, 0, -357, 0, -285, 0, -392, 0, -136, 0, 160, 0, -386, 0, -348, 0, 453, 0, 104, 0, -20, 0, 49, 0, -135, 0, 351, 0, 70, 0, -521, 0, 39, 0, 0, 0, -311, 0, -88, 0, -129, 0, 390, 0, -517, 0, 311, 0, 425, 0, 250, 0, 316, 0, -303, 0, -19, 0, 187, 0, 238, 0, -545, 0, -147, 0, -93, 0, -51, 0, 205, 0, -477, 0, -183, 0, -186, 0, -13, 0, 62, 0, -68, 0, 171, 0, -403, 0, 3, 0, 365, 0, -13, 0, 191, 0, 25, 0, -272, 0, 346, 0, -19, 0, -418, 0, 252, 0, -749, 0, -214, 0, -118, 0, 440, 0, 234, 0, 191, 0, -275, 0, 29, 0, 141, 0, -22, 0, 80, 0, -75, 0, -419, 0, -311, 0, -31, 0, -438, 0, -4, 0, 35, 0, 26, 0, 150, 0, 258, 0, 346, 0, -53, 0, 126, 0, -425, 0, -154, 0, 111, 0, 216, 0, -162, 0, 243, 0, 272, 0, -72, 0, -340, 0, 202, 0, 104, 0, 174, 0, 75, 0, 74, 0, 116, 0, -111, 0, -204, 0, -80, 0, -238, 0, 57, 0, 506, 0, -388, 0, -210, 0, 32, 0, -83, 0, -62, 0, 175, 0, 16, 0, 435, 0, -22, 0, -38, 0, 58, 0, -148, 0, -310, 0, -259, 0, 165, 0, -232, 0, 228, 0, -206, 0, -247, 0, 94, 0, 69, 0, -308, 0, -59, 0, -345, 0, -170, 0, -313, 0, 262, 0, -6, 0, 105, 0, 207, 0, 187, 0, -233, 0, 47, 0, -87, 0, -159, 0, -139, 0, 340, 0, -32, 0, -124, 0, 230, 0, -95, 0, -195, 0, 392, 0, 266, 0, 161, 0, 111, 0, -162, 0, -129, 0, -22, 0, 40, 0, 290, 0, -369, 0, -711, 0, 99, 0, 41, 0, 78, 0, 406, 0, -815, 0, 61, 0, -37, 0, 312, 0, 208, 0, 65, 0, -30, 0, -215, 0, -13, 0, 67, 0, 113, 0, -151, 0, -12, 0, 162, 0, -32, 0, -420, 0, -299, 0, 88, 0, -132, 0, -212, 0, 241, 0, 444, 0, 294, 0, -218, 0, -3, 0, 93, 0, 318, 0, 3, 0, -278, 0, 143, 0, -137, 0, -9, 0, -74, 0, 459, 0, -119, 0, 32, 0, -347, 0, 599, 0, -37, 0, 208, 0, -94, 0, 316, 0, -221, 0, -223, 0, 484, 0, -30, 0, 77, 0, -15, 0, -46, 0, -27, 0, -167, 0, 0, 0, 279, 0, 257, 0, -63, 0, -84, 0, 130, 0, -259, 0, -373, 0, 138, 0, 94, 0, 686, 0, 35, 0, -13, 0, -81, 0, -19, 0, -521, 0, 23, 0, -216, 0, 250, 0, 13, 0, 405, 0, 240, 0, -10, 0, 15, 0, -245, 0, -213, 0, 198, 0, 333, 0, -339, 0, -498, 0, 198, 0, -109, 0, -324, 0, -272, 0, 14, 0, -240, 0, -267, 0, 133, 0, 321, 0, -521, 0, -259, 0, -142, 0, 236, 0, 256, 0, 41, 0, -73, 0, -290, 0, 165, 0, 34, 0, -204, 0, 427, 0, -115, 0, 31, 0, 97, 0, 435, 0, 33, 0, 5, 0, 148, 0, 228, 0, 255, 0, -132, 0, 174, 0, -236, 0, -509, 0, 96, 0, -53, 0, -227, 0, -162, 0, 442, 0, -261, 0, -67, 0, -65, 0, -95, 0, 444, 0, 124, 0, 12, 0, -365, 0, 41, 0, 655, 0, -23, 0, -255, 0, 92, 0, -15, 0, -359, 0, 231, 0, -612, 0, 330, 0, -178, 0, 335, 0, 109, 0, 97, 0, 318, 0, 224, 0, -140, 0, -98, 0, -303, 0, 83, 0, 47, 0, 169, 0, -17, 0, -32, 0, 183, 0, 331, 0, -89, 0, 304, 0, -100, 0, 47, 0, 419, 0, -29, 0, 6, 0, 279, 0, 145, 0, 26, 0, 107, 0, -139, 0, -42, 0, 7, 0, -422, 0, 214, 0, -471, 0, 176, 0, 111, 0, 440, 0, 483, 0, -145, 0, -11, 0, 197, 0, -73, 0, 373, 0, -103, 0, -229, 0, 27, 0, 396, 0, -39, 0, 43, 0, -255, 0, -115, 0, -9, 0, 585, 0, -236, 0, 49, 0, 26, 0, 197, 0, -62, 0, -255, 0, 485, 0, 501, 0, -380, 0, -354, 0, -179, 0, -53, 0, -126, 0, 296, 0, -373, 0, -142, 0, 526, 0, 428, 0, -121, 0, 485, 0, -213, 0, -381, 0, -188, 0, -107, 0, 336, 0, -57, 0, -321, 0, -108, 0, -56, 0, 24, 0, -175, 0, 285, 0, 392, 0, -293, 0, -246, 0, -81, 0, 196, 0, 340, 0, 401, 0, 430, 0, 152, 0, 149, 0, -256, 0, 11, 0, -73, 0, -63, 0, -135, 0, 865, 0, 64, 0, 238, 0, -530, 0, 177, 0, 489, 0, 442, 0, 35, 0, 22, 0, -376, 0, -310, 0, 126, 0, -56, 0, -153, 0, -63, 0, -94, 0, -229, 0, 211, 0, -387, 0, 850, 0, -5, 0, -323, 0, 516, 0, 264, 0, 252, 0, -143, 0, 55, 0, -249, 0, 407, 0, -331, 0, -525, 0, -115, 0, 12, 0, 62, 0, 313, 0, -164, 0, 361, 0, -420, 0, 236, 0, -376, 0, 72, 0, 274, 0, 143, 0, -7, 0, 503, 0, 457, 0, -256, 0, -123, 0, 402, 0, -52, 0, 14, 0, -409, 0, 31, 0, 114, 0, -48, 0, 459, 0, 9, 0, 476, 0, -574, 0, -217, 0, 542, 0, -113, 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": "8024.2.a.ba", "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}