# Stored data for newform 6033.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "6033.2.a.b", "space_label": "6033.2.a", "level": 6033, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660930961, "dim": 71, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [476, -25848, 527047, -4514329, 2486515, 227116760, -1203235340, -2554840430, 35183711691, -21783401910, -498172881821, 789427332157, 4467923206947, -8947449405512, -28716061810781, 59775038790668, 140678603341364, -270793763563279, -539915458871918, 887369690560185, 1643870816664912, -2184584157608410, -4005341674108555, 4137632407455324, 7877847738903154, -6111433448661479, -12619555826860383, 7063056764676953, 16605912236399790, -6313183574277377, -18087601865608023, 4172503312945998, 16412715774426653, -1720343764691561, -12469134290087029, -37729369537385, 7959296394169851, 777283213028443, -4276852521761668, -784063027346207, 1934779057805929, 510973329544899, -735356672090913, -253252848284485, 233652311344201, 100451699809731, -61490713490740, -32564363769034, 13179869145812, 8703002236527, -2227081431134, -1920821341134, 274999330854, 348920305319, -18766103124, -51735714282, -1051749645, 6173548764, 525024899, -579616664, -84474552, 41256389, 8646624, -2080335, -607422, 63332, 28663, -480, -825, -37, 11, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24132, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 48.17374753943846, "level_radical": 6033, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6033, 1, [2012, 2014], [1, 1]], "inner_twist_count": 1, "level_primes": [3, 2011], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 71, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [2011, -1]], "trace_display": [-11, 71, -8, -46], "traces": [71, -11, 71, 53, -8, -11, -46, -33, 71, -41, -18, 53, -67, -7, -8, 21, -25, -11, -43, -8, -46, -49, -75, -33, 19, 0, 71, -89, -35, -41, -82, -62, -18, -28, -51, 53, -66, -29, -67, -102, 1, -7, -112, -25, -8, -36, -67, 21, 7, -24, -25, -134, -40, -11, -112, 9, -43, -47, -18, -8, -144, -19, -46, -17, -31, -49, -85, -22, -75, -11, -44, -33, -98, 6, 19, -85, -39, 0, -126, 21, 71, -69, -43, -89, -112, 32, -35, -85, 8, -41, -40, -96, -82, -99, -103, -62, -67, -11, -18, -18, -12, -28, -133, 39, -51, -37, -81, 53, -161, 59, -66, -111, -33, -29, -63, -34, -67, -22, -60, -102, -25, 38, 1, -110, 0, -7, -228, -93, -112, 36, -50, -25, -121, 12, -8, -20, -31, -36, -126, -9, -67, -95, -96, 21, -100, 51, 7, -76, -1, -24, -197, -20, -25, -3, -15, -134, -126, 9, -40, -146, 6, -11, -84, 105, -112, -12, -96, 9, 14, 25, -43, -187, -28, -47, -153, 20, -18, -23, -40, -8, -168, 19, -144, -27, 50, -19, -143, -19, -46, 32, -94, -17, -107, 74, -31, -26, -30, -49, -127, -13, -85, -60, -4, -22, -176, 85, -75, -203, 64, -11, -118, -32, -44, -10, -87, -33, -108, 57, -98, -92, 25, 6, -171, 214, 19, 8, -27, -85, -125, 156, -39, -81, -78, 0, -48, 73, -126, -67, -89, 21, -102, 70, 71, -136, 81, -69, -156, 66, -43, -93, 40, -89, -127, 127, -112, -55, -11, 32, -97, 97, -35, -12, -243, -85, -52, 204, 8, -74, 73, -41, -172, 51, -40, -30, 11, -96, -275, 140, -82, 125, -6, -99, -114, 75, -103, 73, -70, -62, -10, 187, -67, -123, 36, -11, -140, 172, -18, 42, 90, -18, -59, 33, -12, -32, 28, -28, -79, 82, -133, 46, 56, 39, -102, 174, -51, -90, 84, -37, -110, 315, -81, 43, -24, 53, -255, 144, -161, -120, 125, 59, -58, 81, -66, 39, 17, -111, -107, 121, -33, -25, 98, -29, -248, 243, -63, 56, -161, -34, -247, 290, -67, -70, 37, -22, -104, 196, -60, -52, -43, -102, 2, 91, -25, 99, 35, 38, -153, 12, 1, 90, 97, -110, -140, 298, 0, -140, 48, -7, 61, 93, -228, 68, -87, -93, -24, 107, -112, 25, 65, 36, -216, 120, -50, 104, 70, -25, -52, 142, -121, 165, 96, 12, -90, 214, -8, 55, -171, -20, -129, 182, -31, -75, 32, -36, -273, 308, -126, 85, 99, -9, -113, 134, -67, 48, 25, -95, 65, 89, -96, 131, 21, 21, -57, 326, -100, -177, 144, 51, -181, 293, 7, 15, 14, -76, -146, 198, -1, 16, 68, -24, -60, 93, -197, 155, 138, -20, -93, 228, -25, 134, 68, -3, -281, 136, -15, 42, -5, -134, -219, 270, -126, 18, 64, 9, 24, 157, -40, 35, 84, -146, -59, 200, 6, 58, 50, -11, -82, 385, -84, 89, 20, 105, -104, 250, -112, -19, 131, -12, 42, 253, -96, 168, -83, 9, -57, 175, 14, -328, 141, 25, -52, -17, -43, 61, 112, -187, -77, 122, -28, 164, 117, -47, -154, 85, -153, 146, -114, 20, 18, 204, -18, -47, 14, -23, -81, 99, -40, -77, 169, -8, -159, 59, -168, 18, 46, 19, -271, -46, -144, 187, 126, -27, -5, 117, 50, -172, -66, -19, -15, 84, -143, 8, -42, -19, -79, 179, -46, -91, 28, 32, -20, 82, -94, 58, -183, -17, 35, 83, -107, -67, 134, 74, -191, 95, -31, 87, -46, -26, -146, 55, -30, -27, -3, -49, 123, 88, -127, -55, -114, -13, -178, 142, -85, -106, 114, -60, -198, 78, -4, -24, 39, -22, -83, 36, -176, 20, 107, 85, 56, -6, -75, 51, -187, -203, 91, 212, 64, -57, 140, -11, -18, 8, -118, -192, 134, -32, -209, 1, -44, -74, 112, -10, -71, 179, -87, -122, -133, -33, -138, 191, -108, -64, -62, 57, -113, 435, -98, 175, 47, -92, -40, -56, 25, -11, 137, 6, -233, -41, -171, 82, -46, 214, -263, 10, 19, 335, 130, 8, -177, 221, -27, -19, -36, -85, -55, 245, -125, -322, 102, 156, 2, 52, -39, 253, -232, -81, 29, 32, -78, -257, 86, 0, -265, 187, -48, -12, 125, 73, -108, -29, -126, 44, 128, -67, 83, -139, -89, -65, -89, 21, 91, 72, -102, -274, -104, 70, -273, -124, 71, 432, 104, -136, -161, 40, 81, 76, 96, -69, -136, 173, -156, 90, -264, 66, -49, 284, -43, -85, 109, -93, -80, -107, 40, 52, 16, -89, -75, -61, -127, -9, 174, 127, -186, 146, -112, 156, -377, -55, -186, 125, -11, -132, -51, 32, -111, 223, -97, 16, -6, 97, -120, 252, -35, 260, 138, -12, 53, -179, -243, 38, 23, -85, 155, 13, -52, -123, 82, 204, -158, -79, 8, 143, -20, -74, 13, 250, 73, -209, 35, -41, -35, 291, -172, -196, -87, 51, 36, -97, -40, 146, 71, -30, -353, 191, 11, 279, -48, -96, -294, 23, -275, -141, 63, 140, -126, 243, -82, 261, 89, 125, 10, -19, -6, -156, 241, -99, 57, -13, -114, 63, 169, 75, -314, -37, -103, 164, 140, 73, -22, -120, -70, 62, -207, -62, 33, 154, -10, -51, 162, 187, -87, 255, -67, 323, -64, -123, -71, 38, 36, 31, 122, -11, -117, -96, -140, -70, -205, 172, 45, 163, -18, 96, -81, 42, -46, 297, 90, -119, 108, -18, -352, 69, -59, 137, 100, 33, 35, 42, -12, 404, 102, -32, -164, 14, 28, 33, 232, -28, -252, 261, -79, 40, -12, 82, -121, -87, -133, 170, 226, 46, 133, -182, 56, -247, 50, 39, -75, -258, -102, 88, 249, 174, -347, 308, -51, 453, -30, -90, -23, 127, 84, -50, 10, -37, 32, 27, -110, 201, -156, 315, -1, -93, -81, -106, 262, 43, -251, -121, -24, -21, 131, 53, 222, 206, -255, -37, 238, 144, -51, 228, -161, 183, -39, -120, 10, 98, 125, -1, 211, 59, -105, 182, -58, 153, 10, 81, -331, -241, -66, 150, 358, 39, -169, 71, 17, 53, -159, -111, -9, -112, -107, -18, 52, 121, -22, 273, -33, 23, 34, -25, -149, 33, 98, -194, 271, -29, 72, -107, -248, -31, -140, 243, 6, 295, -63, 204, 131, 56, -165, 154, -161, 55, -4, -34, 107, 119, -247, -110, 137, 290, 33, -440, -67, 409, 108, -70, 129, 43, 37, -1, 171, -22, -166, 460, -104, 98, -87, 196, -303, 422, -60, 305, -117, -52, -221, 503, -43, -45, 68, -102, 189, 107, 2, -154, 304, 91, -230, -231, -25, 729, 155, 99, -72, 180, 35, 26, 248, 38, 75, -92, -153, 85, -307, 12, 91, 315, 1, -106, 196, 90, 8, 505, 97, 136, 208, -110, 19, 55, -140, 319, 319, 298, -74, -8, 0, 296, 7, -140, -117, -264, 48, 140, -67, -7, -71, 449, 61, -133, 195, 93, -117, 282, -228, 586, 164, 68, 46, -296, -87, 273, 23, -93, 108, 104, -24, 175, -8, 107, -213, 422, -112, 727, -118, 25, -90, 93, 65, -337, 357, 36, 292, 125, -216, -50, 189, 120, -3, -254, -50, 412, 335, 104, -149, 110, 70, 57, 147, -25, -125, 172, -52, -1, -34, 142, -23, 382, -121, 188, 28, 165, 95, 161, 96, 339, 342, 12, -23, 101, -90, 200, 226, 214, -134, 23, -8, 498, 361, 55, -33, -32, -171, 112, -385, -20, 282, 179, -129, -124, 416, 182, -334, 228, -31, 110, 146, -75, 69, 30, 32, 694, 291, -36, -12, 208, -273, 185, -57, 308, -113, -204, -126, 350, 286, 85, -117, 241, 99, 84, 179, -9, -52, 68, -113, -161, 528, 134, 57, 426, -67, 917, -144, 48, -97, 256, 25, 164, 102, -95, 90, 596, 65, 317, -343, 89, 116, 468, -96, 467, 202, 131, 67, 274, 21, 149, 131, 21, 29, -116, -57, -117, 270, 326, -253, 336, -100, 280, 349, -177, -93, -74, 144, -73, 103, 51, -5, 487, -181, -14, 374, 293, 150, 321, 7, 613, 259, 15, -520, -90, 14, 461, 261, -76, 254, -17, -146, 253, 144, 198, 161, 303, -1, 464, -11, 16, 127, 102, 68, -190, 329, -24, 84, 325, -60, -15, 132, 93, -4, 121, -197, 659, 336, 155, 32, 318, 138, 228, -84, -20, 83, 620, -93, -55, 156, 228, -400, 442, -25, 783, 235, 134, -141, 88, 68, 338, 475, -3, 89, -338, -281, 235, 275, 136, 47, -84, -15, 61, 307, 42, -35, 860, -5, 261, 67, -134, -28, 371, -219, 110, 141, 270, 192, 241, -126, 742, -69, 18, 288, -331, 64, 36, 331, 9, -67, 495, 24, -4, 84, 157, -288, -129, -40, 285, 243, 35, 337, 422, 84, -6, -11, -146, 472, 247, -59, -8, 192, 200, -279, 183, 6, 766, 288, 58, -227, 164, 50, 362, 300, -11, 47, 141, -82, 394, 36, 385, 4, 228, -84, 294, 356, 89, 17, 230, 20, 521, 468, 105, 342, -32, -104, 228, 287, 250, 137, 85, -112, 812, -27, -19, 12, 268, 131, 186, 34, -12, 72, 685, 42, -302, 181, 253, -61, 465, -96, 184, 484, 168, 21, 50, -83, 516, 125, 9, 21, 136, -57, 424, 31, 175, 18, 163, 14, 293, -87, -328, -182, 337, 141, 86, 241, 25, 69, 159, -52, 39, -31, -17, 47, -144, -43, 1105, 518, 61, -294, -140, 112, 70, 560, -187, 106, 120, -77, 477, 233, 122, 121, -399, -28, 225, 135, 164, 83, 221, 117, -682, 76, -47, 124, -476, -154, 8, 124, 85, -159, -116, -153, 657, 66, 146, 159, 267, -114, 46, -421, 20, 248, 269, 18, -312, 322, 204, -67, 357, -18, 179, 268, -47, -134, -309, 14, 311, 485, -23, 166, 359, -81, 103, -207, 99, 1, -233, -40, 75, 161, -77, 88, 655, 169, 81, 35, -8, 125, 140, -159, -262, 197, 59, 82, -455, -168, 612, 425, 18, 175, -272, 46, -272, 331, 19, -222, -526, -271, 155, 186, -46, -62, 91, -144, 515, 118, 187, 136, -498, 126, -233, 121, -27, 201, -130, -5, -251, 304, 117, -144, 504, 50, 582, -131, -172, -216, -158, -66, 322, 69, -19, 167, 237, -15, -272, 143, 84, 254, -66, -143, 95, 306, 8, -192, -271, -42, -366, 159, -19, -209, -422, -79, 39, 120, 179, -22, 294, -46, 329, -178, -91, 310, 224, 28, 124, 92, 32, 32, -80, -20, -271, 2, 82, -268, -534, -94, 555, 377, 58, 60, -306, -183, 90, -148, -17, 238, 89, 35, -165, 96, 83, 62, 343, -107, 179, 62, -67, -303, 151, 134, -212, 52, 74, 147, 197, -191, 257, -204, 95, 31, -43, -31, 62, 187, 87, -537, 215, -46, -159, 132, -26, 190, -189, -146, -201, 257, 55, 344, 190, -30, 50, -190, -27, -154, -421, -3, -294, 536, -49, 24, -241, 123, 416, 71, 88, -297, 39, -127, 309, 75, -55, 69, 45, -114, 90, 95, -13, 375, 27, -178, -245, 436, 142, -240, -310, -85, 643, 213, -106, 135, -159, 114, -193, 113, -60, 11, 172, -198, -514, -445, 78, -173, 88, -4, 252, 25, -24, 326, 429, 39, -122, 255, -22, -4, -241, -83, -215, 473, 36, -136, -497, -176, 614, 163, 20, 133, -695, 107, -627, 350, 85, -55, 113, 56, -248, 194, -6, -193, -434, -75, 268, 244, 51, -9, -491, -187, 75, -41, -203, -89, -248, 91, 30, 236, 212, -278, 312, 64, 108, 10, -57, 117, 361, 140, -86, 237, -11, 196, -18, -18, -395, 334, 8, 398, -537, -118, 467, 284, -192, -35, -525, 134, -117, 85, -32, -249, -12, -209, -83, -187, 1, 308, 617, -44, 559, 191, -74, -193, -52, 112, -101, 236, -10, -300, -362, -71, 114, 369, 179, -286, -431, -87, 188, 269, -122, 364, -293, -133, -93, -169, -33, 470, -310, -138, -716, 198, 191, 376, 261, -108, 200, 199, -64, -143, -433, -62, -121, 509, 57, 177, -435, -113, 175, -135, 435, -33, 57, -98, 435, 277, 175, -234, 195, 47, -308, 348, -92, -9, 258, -40, -281, 150, -56, -61, -77, 25, 29, 471, -11, -88, -24, 137, 579, 48, 6, -106, 76, -233, 108, -44, -41, -170, 354, -171, 352, 204, 82, 71, -420, -46, -501, 57, 214, 32, -959, -263, 118, 422, 10, 38, -51, 19, 621, 154, 335, -379, -412, 130, -940, 128, 8, 277, 237, -177, 368, -370, 221, 174, -88, -27, 429, 417, -19, 154, -199, -36, -702, 260, -85, -254, 72, -55, 250, 278, 245, 156, 59, -125, 890, -368, -322, 9, -13, 102, -256, 242, 156, 64, -56, 2, -783, 231, 52, -38, -321, -39, 1048, 298, 253, -282, -193, -232, 190, -294, -81, 32, -14, 29, 30, 146, 32, -379, -37, -78, 441, 241, -257, -66, -527, 86, -1, 131, 0, -272, -711, -265, 588, -74, 187, 31, -405, -48, 133, 259, -12, 52, -237, 125, -72, -190, 73, -110, -128, -108, -381, 158, -29, -83, -440, -126, -28, 3, 44, 2, -430, 128, -84, 336, -67, 150, -567, 83, 52, 179, -139, -105, 496, -89, -26, -102, -65, 271, 154, -89, -435, 16, 21, 35, 9, 91, 17, -24, 72, -686, -31, -102, 460, 23, -274, -192, -17, -104, 235, -20, 70, -23, -983, -273, -291, 4, -124, -106, 258, 71, 41, 404, 432, 187, -111, 104, -206, -73, -136, -311, -621, -161, 40, 323, 40, 184, -591, 81, -84, -539, 76, 76, -481, 96, 33, -80, -69, 516, 116, -136, -34, -151, 173, -254, -463, -156, -107, 335, 90, -24, -659, -264, -376, 79, 66, -112, -719, -49, 286, 43, 284, -572, -689, -43, -68, -44, -85, -62, 129, 109, 215, -106, -93, 150, -273, -80, -127, -433, -107, -82, -812, 40, 5, 214, 52, -471, -382, 16, 75, 378, -89, 97, -878, -75, -165, 53, -61, 431, -150, -127, 218, -185, -9, -96, -501, 174, -819, 113, 127, -475, -158, -186, -131, -75, 146, -67, -484, -112, 546, -213, 156, -75, -472, -377, -652, -697, -55, 115, 66, -186, 322, 45, 125, -65, -622, -11, 16, -57, -132, -42, -308, -51, -627, 172, 32, 60, -125, -111, -141, -271, 223, -51, -4, -97, 126, -292, 16, 171, -254, -6, -517, -75, 97, -188, -93, -120, -409, 418, 252, -154, -670, -35, 413, -156, 260, 52, -1263, 138, -312, 158, -12, 107, -349, 53, -371, 130, -179, 97, -389, -243, -328, 123, 38, -16, -410, 23, -222, -38, -85, 158, -505, 155, -202, 474, 13, -425, -258, -52, 98, -313, -123, -560, -162, 82, -144, 100, 204, -287, -1, -158, 68, -165, -79, 83, -638, 8, -417, 132, 143, 317, -699, -20, -367, 162, -74, -21, -566, 13, -45, -107, 250, -177, 40, 73, -235, -403, -209, 321, -280, 35, -191, 121, -41, 56, -158, -35, -611, 196, 291, -251, -768, -172, 214, 203, -196, 320, -103, -87, -79, -830, 51, 193, -933, 36, -621, -196, -97, -62, -56, -40, 401, -238, 146, -86, 496, 71, -611, 253, -30, -144, -666, -353, 289, -27, 191, -220, -391, 11, 542, -26, 279, -316, -734, -48, 45, 59, -96, 101, -108, -294, -159, 282, 23, 108, -660, -275, -469, -309, -141, 102, -518, 63, 501, -65, 140, -588, -227, -126, -9, -227, 243, -481, 90, -82, 38, 412, 261, 44, 428, 89, -440, -163, 125, -316, -360, 10, -122, -84, -19, -326, -133, -6, 206, 42, -156, -53, -629, 241, -641, 183, -99, -35, -203, 57, 317, -1007, -13, 8, 440, -114, 221, 12, 63, 2, -216, 169, -541, 205, 75, -326, -723, -314, 45, 455, -37, 188, -1015, -103, 744, -273, 164, -14, -399, 140, -232, 215, 73, -422, -189, -22, -163, -107, -120, -237, 568, -70, -387, 30, 62, 337, -140, -207, -448, -349, -62, 110, -571, 33, -633, 4, 154, -324, -201, -10, -55, -237, -51, 188, -327, 162, -541, -91, 187, -5, -319, -87, -448, -222, 255, -441, -26, -67, -90, 350, 323, 343, -327, -64, -384, -722, -123, 7, 552, -71, 486, 188, 38, -533, 211, 36, 209, -279, 31, -11, -1, 122, -537, 132, -11, -401, -971, -117, -109, -22, -96, -162, -178, -140, 537, 163, -70, -210, -662, -205, -531, -191, 172, 200, -377, 45, -305, 127, 163, -277, -211, -18, -60, -269, 96, -451, -1095, -81, -70, 301, 42, 276, -1076, -46, 548, -318, 297, 93, -742, 90, -426, 297, -119, -55, 114, 108, -467, 60, -18, -292, -615, -352, -343, -20, 69, -419, 77, -59, 201, -208, 137, -176, -223, 100, -140, 135, 33, -225, -57, 35, 369, -231, 42, -530, 238, -12, 389, 191, 404, 480, -395, 102, -790, -613, -32, 674, -170, -164, -200, 120, 14, -19, -529, 28, -199, -23, 33, -482, 100, 232, -710, -177, -28, 170, 370, -252, -137, -430, 261, -163, -503, -79, -25, 301, 40, -253, -647, -12, -281, 229, 82, -203, -447, -121, 405, 105, -87, 38, -1157, -133, 339, -888, 170, 368, -286, 226, 17, 399, 46, -184, -439, 133, 28, -186, -182, -214, -300, 56, -271, 172, -247, 209, -295, 50, -142, -761, 39, 187, -264, -75, -212, 305, -258, -468, 166, -102, -258, 0, 88, 479, -446, 249, -622, 297, 174, -42, -903, -347, -797, -311, 308, -378, -1006, -51, 725, -423, 453, 254, -104, -30, -185, -792, -90, -78, 366, -23, -620, 287, 127, -448, 389, 84, -82, -475, -50, -52, -385, 10, -513, 257, -37, -34, -883, 32, -327, -271, 27, -131, -208, -110, -114, -88, 201, 202, -209, -156, -6, -508, 315, 155, -399, -1, -566, 376, -93, -509, 10, -81, 190, 222, -106, 36, -811, 262, -43, 6, 43, -124, -1745, -251, 183, -325, -121, 229, -225, -24, 130, 90, -21, 11, -463, 131, -591, -81, 53, -226, -98, 222, 743, 351, 206, -85, -577, -255, 209, -1065, -37, -113, -186, 238, -271, -201, 144, -505, -324, -51, -75, -152, 228, -346, 297, -161, 459, 360, 183, -39, -436, -39, -462, 304, -120, 287, -849, 10, -79, -92, 98, 112, -370, 125, 118, -711, -1, 48, -148, 211, -85, 232, 59, 305, -486, -105, -528, -594, 182, -188, -142, -58, 89, 389, 153, -266, -635, 10, -462, -674, 81, -451, -390, -331, -445, -59, -241, 110, -297, -66, 709, -291, 150], "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": "6033.2.a.b", "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}