# Stored data for newform 4029.2.a.l, downloaded from the LMFDB on 24 April 2024. {"label": "4029.2.a.l", "space_label": "4029.2.a", "level": 4029, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934633917, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-544, -15080, -99208, 219496, 1974260, -1741182, -12932354, 7640252, 40399258, -19102572, -73030045, 29196812, 84892392, -29036300, -67462222, 19635271, 38002893, -9284894, -15485906, 3116614, 4603765, -745215, -996692, 125835, 155108, -14639, -16869, 1115, 1215, -50, -52, 1, 1]], [5, [-143498044, 1013494712, 520018669, -15782378809, 18163434886, 67135235620, -115846299389, -90821970281, 218292494372, 54658720253, -211106950095, -12382406010, 125346491272, -3148092864, -49737703145, 3084918394, 13806977909, -1035541699, -2748562884, 205650634, 396613301, -26727161, -41448915, 2332460, 3097256, -135446, -160846, 5015, 5499, -107, -111, 1, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16116, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 32.17172697437387, "level_radical": 4029, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [4029, 1, [2687, 3556, 3163], [1, 1, 1]], "inner_twist_count": 1, "level_primes": [3, 17, 79], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [17, 1], [79, -1]], "trace_display": [-1, -32, -1, 4], "traces": [32, -1, -32, 41, -1, 1, 4, -3, 32, 17, 8, -41, 17, 1, 1, 55, -32, -1, 48, -7, -4, -4, -19, 3, 63, 27, -32, 17, -15, -17, 20, 13, -8, 1, 22, 41, 6, 11, -17, 47, 1, -1, 40, 22, -1, 5, -5, -55, 88, 17, 32, 23, -34, 1, 48, 0, -48, -9, 41, 7, 20, 15, 4, 93, -58, 4, 52, -41, 19, 25, 1, -3, 19, 12, -63, 128, -20, -27, 32, -16, 32, -5, 31, -17, 1, -62, 15, 35, 18, 17, 48, -75, -20, 29, 5, -13, 17, 30, 8, 106, 38, -1, 48, 106, -22, -2, -30, -41, 20, 90, -6, 37, -57, -11, 72, -53, 17, 10, -4, -47, 104, 87, -1, 110, -3, 1, 73, -3, -40, -38, 114, -22, -33, 72, 1, 3, -89, -5, 69, -36, 5, 28, 24, 55, 78, -12, -88, 49, 1, -17, 72, 63, -32, -52, 113, -23, 15, -1, 34, 81, -15, -1, 2, 24, -48, 85, -30, 0, 113, -17, 48, 97, -11, 9, 45, 120, -41, 68, 145, -7, 14, 15, -20, -28, 20, -15, -8, -119, -4, 120, -7, -93, 28, 11, 58, 152, -46, -4, 54, 76, -52, 35, 23, 41, -7, 39, -19, 29, 24, -25, 90, -36, -1, 18, -42, 3, 77, -74, -19, 104, -17, -12, 102, 128, 63, 110, 76, -128, 60, 8, 20, -7, -138, 27, 2, 57, -32, -1, -22, 16, 66, -93, -32, 84, 7, 5, 123, -58, -31, 150, 112, 17, 33, 25, -1, 63, -40, 62, 194, -86, -15, 59, -47, -35, -61, 90, -18, 144, -10, -17, 137, -55, -48, 167, 143, 75, 9, -1, 20, 267, 26, -29, 8, -24, -5, -51, 41, 13, 32, -139, -17, 152, -34, -30, -29, -88, -8, -7, 184, -106, 45, -19, -38, 251, -40, 1, 84, 25, -48, 115, 19, -106, 2, 127, 22, 41, -55, 2, 89, -42, 30, 49, -48, 41, 91, 203, -20, 63, -34, -90, 133, 20, 6, 177, 100, -37, 39, -64, 57, 7, 32, 11, 128, -241, -72, -105, -36, 53, 21, -27, -17, 47, -43, -10, 250, 1, 4, 4, 47, 47, 80, -41, -104, -1, -8, -87, -20, -264, 1, 23, 35, -110, 29, 4, 3, 115, -24, -1, -48, -13, -73, 174, 142, 3, 51, 12, 40, 41, -1, 38, 19, -42, -114, -26, -1, 22, -10, -73, 33, -10, -125, -72, 42, 63, -1, -63, -43, -3, 122, 33, 89, 101, -3, 5, -25, 324, -69, -71, 77, 36, 9, -257, -5, 55, -63, -28, 56, 103, -24, 150, 57, -55, 150, -68, -78, -102, 20, 12, 96, 65, 88, -27, -25, -49, -26, -130, -1, -103, -79, 17, 295, -318, -72, -2, 80, -63, 43, -186, 32, -91, -23, 52, -6, -19, -113, -104, 167, 23, -87, -236, -15, -44, -76, 1, 132, -17, -34, -12, 229, -81, 3, -96, 15, 313, -5, 1, -12, 211, -2, -96, 122, -24, 15, -254, 48, 158, -172, -85, -30, -135, 30, -117, 26, 0, 46, -89, -113, -43, 2, 17, 97, -88, -48, 8, -79, -97, -43, 176, 11, -429, -5, -9, 157, -38, -45, -94, -20, -120, 189, 64, 41, -45, -90, -68, 137, 167, -145, -155, 182, 7, 43, 7, -14, -13, 100, -15, 118, -286, 20, -231, 35, 28, 4, -7, -20, -54, -71, 15, 98, -426, 8, -122, 240, 119, 24, 10, 4, -204, -13, -120, 150, 9, 7, -56, -195, 93, -2, -1, -28, 16, -38, -11, -144, 90, -58, 274, 65, -152, -5, 29, 46, -75, 3, 4, -22, -71, -54, 101, -12, -76, 85, -329, 52, -269, -269, -35, 67, 149, -23, -236, 33, -41, -65, -175, 7, -319, -238, -39, 80, 227, 19, -177, -156, -29, 118, 31, -24, -206, -6, 25, 52, -3, -90, -148, 207, 36, 186, -43, 1, -48, 64, -18, 48, -92, 42, -11, -78, -3, 156, -249, -77, -227, -33, 74, 11, -89, 19, -249, 200, -104, 49, -246, 17, 84, -85, 12, 116, -132, -102, -300, 130, -128, -168, -267, -63, 124, -2, -110, -25, -47, -76, -291, 18, 128, -97, 29, -60, 137, 19, -8, -21, -166, -20, -192, -64, 7, -1, -12, 138, 386, -163, -27, -56, 40, -2, -288, -67, -57, -35, -95, 32, -9, -211, 1, 117, 288, 22, 14, -63, -16, 50, 67, -66, -70, -125, 93, 53, -223, 32, -215, -40, -84, 89, 214, -7, -16, -234, -5, 88, -34, -123, -450, 62, 58, 26, 35, 31, -22, 19, -150, 201, -301, -112, -28, 147, -17, 5, -561, -33, -51, 29, -25, 111, -537, 1, 112, 58, -63, -105, -93, 40, -342, 96, -62, 31, -86, -194, 120, 42, 86, -46, -5, 15, -78, -20, -59, -78, -79, 47, 17, 127, 35, -86, 6, 61, -144, -73, -90, 5, -202, 18, 109, -21, -144, -165, -122, 10, -4, -227, 17, 380, -495, -137, -367, 86, 55, 169, -309, 48, -362, -48, -167, -92, 156, -143, -376, 25, -75, 6, -543, -9, -249, -88, 1, 33, 246, -20, 51, -3, -267, 175, -32, -26, -106, 9, 29, -72, -220, -8, -17, 129, 24, -65, -123, 5, 26, -22, 51, 246, -404, -41, 86, 185, -13, 49, -328, -32, -68, 8, 139, 98, -429, 17, -591, 45, -152, -125, 14, 34, 40, -122, 30, 185, -23, 29, -40, 249, 88, -412, 213, 8, 140, -212, 7, -150, 113, -184, -221, 107, 106, 34, -239, -45, 429, -238, 19, 86, -27, 38, -862, -121, -251, 17, -21, 40, -159, -147, -1, 76, -364, -84, -113, -215, -25, 33, 21, 48, -251, -255, -115, 528, -417, -19, -215, -48, 106, 41, 235, -2, -453, 151, -127, 128, -233, -22, -352, -15, -41, 55, 232, 55, 0, -134, -2, 217, -388, -89, -85, 256, 42, 30, -378, -30, -131, -88, -49, 86, -485, 48, -434, 292, -41, -43, -391, -91, -154, -100, -203, 139, -161, 20, -334, 5, -63, -41, 9, 34, 15, -58, 90, -24, -183, -133, -112, 132, -20, -73, -268, -6, -287, -121, -177, -41, 252, -100, -31, -146, 37, -37, -210, -39, -473, -91, 64, 150, 110, -57, 73, -101, -7, 223, -59, -32, -157, -182, -11, 17, 41, -128, -212, 159, 241, 78, -562, 72, 319, -20, 105, 162, 402, 36, -282, -21, -53, 137, 167, -21, 33, 51, 27, 8, 19, 17, -15, -121, -47, -82, 83, 43, 3, -120, 10, 213, -199, -250, 2, -5, -1, 102, -438, -4, 178, -238, -4, 412, 92, -47, -482, 133, -47, -88, 107, -80, 147, -12, 41, -15, -93, 104, -132, 191, 1, 21, 222, 8, 464, -54, 87, 190, 359, 20, -265, 81, 264, 58, 1, -1, 214, -194, -23, 157, -153, -35, -246, -83, 110, 111, -25, -29, 62, -228, -4, 238, 177, -3, -168, -28, -115, -45, 189, 24, -448, -74, 1, 298, -383, 48, -262, -52, 13, 241, 304, 73, -175, -69, -174, 216, 203, -142, -190, 338, -3, -68, -43, -51, 41, -7, -12, 161, -312, -40, 184, -6, -41, -123, -16, 1, 60, -266, -38, 336, 291, -19, -85, 223, 42, 10, 129, 114, -503, 54, 26, 131, 17, 1, 229, -74, -22, 28, -25, 10, -287, -120, 73, 164, 654, -33, 210, 88, 10, 82, 110, 125, -232, 112, 72, -1, -10, -42, 590, 183, -63, -116, 87, 1, 240, -262, 63, 277, 43, 43, 295, -201, 3, 361, 35, -122, 346, -146, -33, -26, 150, -89, -258, -25, -101, 230, -258, 3, 185, -19, -5, 58, 325, 25, -253, 51, -324, 170, 140, 69, 23, 363, 71, 37, 550, -77, -12, 117, -36, 179, -272, -9, 55, 66, 257, 156, 23, 5, -160, -67, -55, 308, -368, 63, 158, -2, 28, -81, -13, -56, 67, 80, -103, -58, -21, 24, 4, -139, -150, 378, -128, -57, -337, 439, 55, -149, -73, -150, -6, 259, 68, 67, -17, 78, -334, 33, 102, 20, 451, -20, 573, -194, -12, 135, -13, -96, -414, -6, -65, 136, -193, -88, 151, -298, 27, 61, 343, 25, 130, 303, 49, 103, -244, 26, 139, -112, 130, 172, -125, 1, 147, -32, 103, 187, 480, 79, -158, -97, -17, 296, 266, -295, -71, 176, 318, 141, 136, 72, 16, 234, 2, -12, 589, -80, 208, -128, 63, -94, -403, -43, 478, -253, 186, 285, -374, -32, 137, 246, 91, 17, 255, 23, -851, -110, -52, 75, -243, 6, 189, 180, 19, -6, 5, 113, -191, -91, 104, 152, 478, -167, -323, 144, -23, 319, 147, 87, 50, 143, 236, -31, 79, 15, 386, 2, 44, -267, 42, 76, -129, -109, -1, 130, 125, -132, 299, 169, 17, 190, -298, 34, 409, -43, 12, -309, 453, -229, -36, -72, 81, 205, -227, -3, -470, -1, 96, -16, 11, -15, -384, 105, -313, 311, 207, 5, 0, 132, -1, 442, 242, 12, 62, -333, -211, 11, 219, 2, -116, 19, 96, 52, -515, -122, -326, 205, 24, 347, -142, -15, 86, -136, 254, 236, 13, -48, -374, 187, -158, 148, 649, 172, 218, -73, 85, 21, -35, 30, -155, 189, 135, 48, 681, -30, 258, 28, 117, -262, 105, -26, -101, 210, 0, -18, -1, -46, 68, -52, 89, 58, 217, 113, -163, -68, 43, 119, 555, -2, 2, -406, -17, -45, 312, -97, 338, 155, 88, -87, 24, 48, -207, 77, -8, -66, -48, 79, 133, -48, 97, 13, 227, 43, -239, -158, -176, -103, 18, -11, 86, 138, 429, -63, 356, 5, 75, 68, 9, 28, 138, -157, 66, 166, 38, 288, -90, 45, 8, -210, 94, 385, -7, 20, 283, 69, 120, 85, -80, -189, -125, 150, -64, -148, 70, -41, -281, 186, 45, -159, -29, 90, -346, 208, 68, -79, 57, -137, -92, 237, -167, -51, -613, 145, -228, 57, 155, -5, 263, -182, 258, 50, -7, -248, -151, -43, -595, -448, -7, 197, 50, 14, -338, -398, 13, 113, 32, -100, 570, -186, 15, -337, 128, -118, 67, -18, 286, -87, 244, -20, 78, -17, 231, 162, 708, -35, -321, -74, -28, 108, -14, -4, -215, 220, 7, 215, 569, 20, -30, 242, 54, 115, 520, 71, 489, -295, -15, -44, 105, -98, 56, 174, 426, 129, -251, -8, -150, 92, 122, -56, -20, -240, -48, 226, -119, 33, 334, -24, 280, -39, -10, 266, -106, -4, 109, 16, 204, -292, 396, 13, 58, -145, 120, -223, 42, -150, -127, 606, -9, -38, -125, -7, 241, 253, 56, -149, 37, 195, 27, -135, -93, -64, 126, 2, 555, -276, 1, 34, 88, 28, -4, 45, -16, -59, 888, 38, -303, -499, 11, 171, -424, 144, -287, -48, -90, -209, 324, 58, 280, 197, -274, 98, -62, -65, -54, 79, 152, 50, -93, 5, -106, 263, -29, -250, 72, -46, 1, 72, 75, 275, -661, -3, -390, -301, -4, 203, -391, 22, 290, 162, 71, -46, 77, 54, -925, -101, -101, -69, 116, 12, 161, 20, 76, -127, 2, -85, 633, 179, 329, -94, -280, -52, 712, 589, 269, -62, 171, 269, 192, -19, 35, 30, -203, -67, -149, -31, -149, -264, 349, 23, -473, -173, 236, 297, -154, -33, 76, -196, 41, 232, 277, 65, 203, -183, 175, -409, -422, -7, -79, -124, 319, 50, 33, 238, 662, -20, 39, -399, 415, -80, -170, 128, -227, 340, 54, -19, -564, 34, 177, -205, 206, 156, -90, -451, 29, 43, 61, -118, -115, -78, -31, -82, -662, 24, 111, 233, 206, 351, -194, 6, 3, 143, -25, -79, -159, -52, -443, -197, 3, -200, 224, 90, 437, 335, 148, -106, -37, -207, 102, 155, -36, -228, 243, -186, -70, -375, 43, -204, 205, -1, -388, 240, 48, 57, 3, -64, -121, -263, 18, 45, -94, -48, -231, 314, 92, 135, -355, -42, 527, -529, 11, 82, 265, 78, 43, -141, 3, -183, 170, -156, -543, 35, 249, 130, 334, 77, -6, -72, 227, 100, 682, 33, -439, -278, -74, -48, 326, -11, 64, 171, 89, 55, 441, -19, 53, 31, 249, 63, 234, -200, 148, 395, 104, -232, -784, -49, 159, -328, 246, 355, -102, -17, -631, 210, -84, 96, 354, 85, 60, -114, -12, -65, -26, -116, 486, -283, 132, -262, -10, 102, 175, 235, 300, -17, 726, -130, -408, 117, 128, -311, -86, 168, -30, 135, 267, 4, -245, 63, -169, 231, -124, -351, 473, 2, -169, -535, 110, 10, 75, 25, -70, -25, 47, 622, 154, 76, 133, -358, 291, 58, 43, -18, -574, 365, -128, 0, 27, 97, -114, -104, -29, 100, 182, 60, -153, -328, -137, -108, 257, -19, 37, -33, 8, -30, 538, 21, -87, 103, 166, -49, 73, 20, -372, 53, 192, 114, -145, 64, 211, -438, -7, 553, 112, 1, 462, 142, 12, -359, 123, -138, -549, 212, -386, -351, 225, 163, -284, 276, 27, 264, -110, 56, 47, 113, -40, -161, 507, 2, 796, -202, 288, 68, 817, 67, 393, 460, 57, 3, 508, 35, 514, -270, 95, 193, 368, -32, -938, -130, 9, -27, 177, 211, 84, -309, -1, -331, 532, -117, 453, -6, -288, 1, -136, -22, -285, -231, -14, 127, 202, 63, -162, -73, 16, 88, 902, -50, -182, -92, -67, 144, -17, 66, 576, 33, 70, 254, 316, 125, 3, -94, -93, -102, 332, -53, 166, -71, 223, -515, -541, -32, 71, -71, 215, -89, -165, 40, -607, 490, 84, 115, 75, -89, -747, 237, -214, -184, 359, 7, 463, -122, 16, -9, 38, 234, 17, -392, 5, -187, 923, -88, -155, 272, 34, -106, -132, 123, -455, 209, 450, -114, -59, -62, 786, 204, -58, -367, -38, -26, -258, -331, -35, 248, -718, -31, 35, 120, 22, -69, 603, -19, -112, -298, 150, 75, 218, -201, -774, -298, 301, -66, -409, 112, 414, 33, 28, 30, 321, -147, -4, -52, 17, 218, -59, -5, -10, -18, 561, -624, 82, 33, -72, 177, 51, 141, 589, -29, 723, 134, 25, -293, -573, -111, 68, -15, 537, 350, -373, -1, -520, -536, -112, 268, 131, -58, -488, -128, 63, -241, 148, 105, -141, 298, 93, -244, -3, -40, 147, 97, 342, -363, 240, -96, 508, -274, 62, 154, -330, -31, 493, 244, 86, 89, -570, 194, -288, -13, -120, -417, 818, -42, -453, -238, -86, -163, -379, 46, 316, -791, 5, 251, 81, -15, -226, 387, 78, 81, -353, 20, 188, 210, 59, -170, 40, 78, 125, -69, 79, -217, 674, -47, -752, -5, -17, -176, 521, -127, 183, 378, -35, -147, 33, 86, 36, 332, -6, -363, -208, -61, -169, 226, 144, -112, -219, 73, -325, -532, 90, 32, -352, -5, -162, 264, 202, 352, -92, -18, -56, 182, -109, 120, -67, 21, -82, -279, 144, -1, -28, 165, -291, -316, 122, 172, -233, -10, -386, 108, 4, -197, 560, 227, -21, 36, -17, -24, 486, -380, 225, 98, 495, -26, 194, 137, -768, -59, 367, 601, 511, -86, 189, -136, -55, 20, 604, -169, -237, 55, 309, -542, -647, -48, -41, 187, 362, 56, 218, 48, -1057, -78, 167, 63, 127, 92, -218, -238, -156, -10, -129, 143, 354, 350, 376, -200, 224, -25, 12, -12, 75, -89, 505, -6, -455, 252, 543, -71, -1022, 9, -259, -425, 249, 467, -102, 88, -592, 43, -1, 93, 149, -33, -288, -170, -246, -532, 88, 20, -196, 42, -51, 38, -49, 3, 61, -20, 267, 108, 440, -175, -120, 208, 32, -506, 13, 26, -258, 148, 106, -1, 409, -9, -207, -309, -29, -121, 445, 72, -640, -405, 220, -109, 302, 8, 66, 128, 17, 133, 969, -129, 88, -160, -24, -143, -182, 65, -181, -81, 123, -79, -46, -5, -5, -72, -26, -341, 451, 22, -438, -78, -51, -189, 380, -246, -377, 358, 404, 237, -320, 41, -63, -256, -86, -268, 271, -185, 793, -107, 13, -110, 233, -49, 527, -437, 328, 267, 108, 32, -7, 183, 68, -619, 638, -8, -584, -60, -139, 245, 293, -98, -181, 120, 429, -182, 52, -17, -1, 48, 591, -113, 829, -45, 428, -94, 152, -89, 150, 125, -174, -7, -14, -113, 792, -34, 245, 349, -40, 83, 794, 122, -351, -340, -30, 297, -511, -185, -516, 294, 23, -159, 134, -29, 275, -372, 40, 45, 335, -249, -617, 3, -88, -549, 15, 412, 86, -15, -213, -444, 185, -8, 79, 263, -140, 43, 423, 212, -2, 165, -7, -184, 638, 150, 1, 50, -113, -97, 946, 184, 94, 24, 221, -520, -919, -107, -159, -61, -106, 137, -50, -34, -330, -87, 239, 216, -188, 45, 390, -34, -429, -202, 685, 238, -61, 269, -19, -283, -81, -86, 345, -33, 27, -24, 485, -38, -744, 11, 862, -288, 172, 121, 345, 122, 251, 15, -108, -17, -70, 36, 21, -30, -120, -40, -733, 75, 159, 131, 350, 147, 893, -521, 1, 237, 818, -76, 659, 120, 364, -165, 67, 84, -220, 22, 113, 288, -213, 215, -583, -2, 25, 124, 144, -33, -127, -133, -21, -38, -365, -48, 160, 113, 251, -26, 897, 255, -24, 96, 115, -240, 49, -528, 472, 130, 417, -23, -362, 19, 1653, -64, 215, -8, -370, 48, -764, -264, -106, 16, 693, -41, -221, 57, -235, -812, -186, 2, 165, -286, 453, -207, -85, -151, -1018, -348, 127, 540, 342, -128, 121, 313, 233, 158, 91, 22, 218, 101, 352, 30, 246, 15, -249, 1, 41, -492, 696, -55, -473, 398, -232, 58, -885, -55, 315, 20, 0, 136, -168, 134, 881, -280, 2, -394, 454, -217, -288, 268, 388, -286, -873, 89, 148, -113, 85, 30, 1028, -256, -378, 145, -42, 244, 373, -30, -174, -46, 378, -12, 451, 30, 17, 451, 131, -415, 335, 88, -235, 10, 49, -4, -1179, -86, 200, -72, 485, 287, 341, -48, -123, 180, 434, 50, 544, -292, -424, 7, 41, -116, 342, 43, 7, -58, 391, 6, -97, 91, 192, 270, 154, -745, 1071, 100, 651, -239, 203, -415, 932, -139, -303, 640, 161, 11, -180, -20, 139, 355, 334, 149, 276, -5, -445, -969, 63, -73, 157, 41, -213, -146, -9, 260, 296, -34, -71, -208, -15, -282, -86, 58, -661, -640, -90, 140, -27, 24, -387, -45, 183, -241, -34, 133, 201, 68, 112, -334, -16, -132, 102, 556, 20, 401, 1049, 73, -120, -221, 268, -71, 696, 6, -21, 327, 287], "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": "4029.2.a.l", "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}