# Stored data for newform 6038.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "6038.2.a.b", "space_label": "6038.2.a", "level": 6038, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660930966, "dim": 54, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [5806105, -59950729, -553152427, 3349983720, 23268983195, -37123613132, -332891189775, 154259821176, 2485710657204, 17579363983, -11502975791285, -3107740796495, 36053081777720, 16413439699319, -80552052784185, -49299567369702, 132137635186546, 101392823541877, -161323125998308, -152585661242942, 146163354877103, 173576438052829, -95348687122826, -151874565401826, 40127939550285, 103038932429675, -5194916481182, -54223757454007, -6709004447306, 21945422657431, 6204156516560, -6676240091879, -3043013180644, 1443678973078, 1020790523541, -185470760844, -247029553017, -701518138, 43163000131, 6298421341, -5235760368, -1523842826, 388053915, 205464064, -7929754, -17170134, -1603001, 823789, 180358, -14065, -8000, -503, 120, 21, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24152, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 48.2136727404491, "level_radical": 6038, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6038, 1, [3021], [1]], "inner_twist_count": 1, "level_primes": [2, 3019], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 54, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3019, -1]], "trace_display": [54, -21, -14, -44], "traces": [54, 54, -21, 54, -14, -21, -44, 54, 39, -14, -31, -21, -34, -44, -22, 54, -40, 39, -44, -14, -3, -31, -33, -21, 14, -34, -66, -44, 0, -22, -65, 54, -43, -40, -46, 39, -58, -44, -36, -14, -49, -3, -47, -31, -45, -33, -66, -21, 16, 14, -33, -34, -16, -66, -50, -44, -33, 0, -70, -22, -40, -65, -117, 54, -33, -43, -82, -40, -1, -46, -60, 39, -92, -58, -68, -44, 13, -36, -57, -14, 26, -49, -77, -3, -24, -47, -61, -31, -54, -45, -46, -33, -24, -66, -66, -21, -137, 16, -71, 14, -5, -33, -129, -34, -1, -16, -65, -66, -29, -50, -80, -44, -56, -33, -103, 0, -40, -70, -37, -22, 19, -40, -45, -65, -36, -117, -51, 54, -37, -33, -79, -43, -29, -82, -32, -40, -40, -1, -82, -46, 37, -60, -105, 39, -112, -92, -54, -58, 11, -68, -34, -44, -70, 13, -60, -36, -77, -57, -67, -14, -21, 26, -109, -49, 37, -77, -97, -3, 26, -24, -80, -47, -16, -61, -118, -31, -15, -54, -52, -45, -56, -46, -23, -33, -26, -24, -131, -66, 82, -66, -78, -21, -88, -137, -40, 16, -1, -71, -116, 14, 11, -5, -77, -33, 36, -129, -51, -34, -75, -1, -12, -16, -34, -65, -80, -66, -24, -29, 12, -50, 61, -80, -136, -44, 41, -56, -128, -33, -47, -103, 62, 0, -36, -40, -51, -70, 73, -37, -65, -22, -99, 19, -124, -40, 55, -45, -68, -65, -27, -36, -71, -117, -23, -51, -9, 54, -37, -37, 19, -33, 140, -79, -34, -43, -55, -29, -1, -82, 53, -32, -25, -40, 87, -40, -19, -1, 6, -82, -84, -46, 27, 37, -168, -60, 187, -105, -44, 39, 36, -112, 82, -92, 8, -54, -16, -58, -10, 11, -127, -68, 55, -34, 1, -44, 37, -70, -179, 13, 134, -60, -71, -36, -150, -77, 78, -57, 51, -67, -46, -14, 52, -21, 31, 26, -36, -109, 6, -49, 45, 37, -16, -77, 60, -97, -80, -3, -35, 26, -17, -24, 122, -80, -169, -47, 124, -16, -53, -61, 10, -118, 61, -31, -51, -15, -81, -54, 145, -52, -37, -45, 54, -56, -29, -46, 168, -23, -130, -33, 20, -26, -96, -24, 14, -131, 34, -66, -52, 82, -60, -66, 117, -78, -81, -21, 29, -88, 57, -137, 64, -40, -93, 16, 115, -1, -35, -71, -194, -116, 103, 14, 26, 11, 6, -5, 65, -77, 49, -33, 18, 36, -34, -129, 202, -51, -3, -34, 130, -75, -83, -1, 49, -12, -110, -16, -2, -34, -76, -65, 277, -80, -54, -66, -86, -24, 225, -29, 65, 12, -139, -50, 216, 61, 69, -80, 107, -136, -9, -44, 68, 41, -13, -56, 85, -128, 122, -33, -18, -47, 42, -103, 154, 62, -82, 0, 111, -36, -38, -40, 120, -51, 110, -70, -2, 73, -64, -37, 219, -65, -110, -22, -19, -99, 51, 19, 183, -124, -54, -40, 130, 55, 53, -45, -148, -68, 81, -65, 76, -27, 41, -36, 286, -71, -95, -117, -96, -23, -7, -51, 105, -9, -2, 54, 78, -37, 73, -37, -52, 19, 107, -33, -42, 140, -80, -79, 371, -34, -19, -43, 65, -55, 48, -29, 51, -1, -66, -82, 103, 53, 49, -32, 87, -25, 125, -40, 90, 87, 52, -40, 166, -19, -34, -1, 11, 6, 169, -82, 124, -84, -2, -46, 291, 27, -157, 37, 140, -168, -19, -60, 102, 187, -8, -105, 149, -44, 127, 39, -182, 36, 136, -112, 188, 82, 4, -92, 176, 8, 55, -54, 145, -16, 192, -58, -43, -10, 125, 11, 265, -127, -36, -68, -45, 55, 85, -34, 205, 1, -37, -44, 214, 37, 84, -70, 55, -179, 191, 13, 68, 134, -76, -60, 353, -71, 93, -36, 130, -150, 245, -77, 213, 78, 90, -57, 158, 51, -71, -67, 74, -46, 149, -14, 144, 52, -248, -21, 378, 31, 50, 26, -10, -36, 291, -109, 209, 6, 109, -49, 51, 45, 41, 37, 131, -16, 127, -77, 272, 60, 38, -97, 295, -80, -13, -3, 84, -35, 213, 26, 201, -17, 265, -24, 176, 122, 25, -80, -1, -169, 142, -47, 43, 124, -113, -16, 394, -53, 136, -61, 2, 10, 212, -118, 347, 61, -3, -31, 276, -51, -74, -15, 133, -81, 127, -54, 120, 145, 227, -52, 220, -37, -26, -45, 198, 54, 255, -56, 240, -29, -177, -46, 273, 168, 27, -23, 4, -130, 288, -33, 170, 20, 131, -26, 412, -96, -15, -24, 56, 14, 9, -131, 236, 34, 28, -66, 137, -52, -19, 82, 87, -60, 69, -66, 83, 117, -6, -78, 344, -81, 98, -21, 50, 29, 265, -88, 134, 57, -66, -137, 199, 64, 56, -40, 231, -93, -17, 16, 143, 115, -182, -1, 232, -35, 66, -71, -90, -194, 182, -116, 185, 103, 106, 14, -19, 26, -124, 11, 298, 6, 75, -5, 39, 65, -69, -77, 160, 49, -80, -33, -152, 18, 125, 36, 232, -34, -6, -129, 237, 202, -33, -51, 175, -3, 117, -34, 43, 130, 24, -75, 48, -83, -180, -1, 104, 49, 30, -12, 193, -110, -375, -16, 141, -2, -10, -34, -86, -76, 134, -65, -15, 277, 59, -80, 200, -54, -25, -66, 39, -86, 43, -24, 312, 225, -115, -29, -14, 65, 14, 12, -10, -139, 62, -50, 63, 216, 33, 61, 57, 69, -167, -80, 8, 107, 2, -136, 167, -9, -147, -44, 113, 68, -100, 41, 43, -13, 107, -56, 82, 85, -131, -128, 255, 122, -14, -33, -61, -18, 88, -47, 140, 42, -35, -103, 241, 154, 23, 62, -41, -82, -313, 0, -13, 111, 95, -36, 247, -38, 38, -40, -168, 120, 213, -51, 110, 110, -56, -70, 233, -2, -29, 73, 183, -64, 61, -37, 80, 219, -319, -65, -74, -110, 26, -22, 125, -19, -161, -99, 253, 51, -256, 19, -20, 183, -141, -124, -57, -54, 202, -40, -67, 130, 7, 55, 303, 53, -65, -45, 11, -148, 139, -68, 166, 81, -151, -65, -75, 76, 210, -27, -102, 41, -143, -36, 253, 286, -6, -71, 386, -95, 56, -117, 10, -96, -255, -23, 246, -7, -10, -51, -95, 105, 54, -9, -85, -2, 325, 54, 11, 78, -291, -37, 387, 73, -130, -37, -38, -52, -31, 19, 176, 107, 31, -33, 168, -42, -74, 140, -124, -80, -35, -79, 91, 371, -5, -34, 71, -19, 18, -43, -160, 65, 132, -55, 145, 48, -118, -29, 154, 51, -69, -1, 103, -66, 161, -82, 70, 103, 109, 53, 144, 49, 176, -32, -329, 87, 29, -25, 386, 125, -118, -40, 421, 90, -167, 87, -16, 52, -72, -40, 129, 166, -182, -19, 258, -34, 109, -1, 9, 11, 8, 6, 255, 169, -123, -82, 214, 124, 98, -84, -240, -2, -74, -46, 139, 291, -355, 27, 82, -157, 24, 37, 87, 140, 139, -168, 274, -19, 109, -60, 87, 102, -4, 187, 309, -8, 61, -105, 153, 149, -213, -44, 394, 127, -109, 39, -231, -182, 200, 36, 255, 136, 70, -112, -170, 188, 169, 82, -149, 4, -111, -92, 266, 176, -34, 8, 385, 55, 46, -54, 41, 145, 13, -16, 236, 192, -67, -58, 191, -43, -26, -10, 8, 125, 187, 11, -24, 265, -56, -127, 75, -36, 45, -68, 48, -45, -15, 55, 477, 85, -321, -34, 331, 205, 38, 1, -148, -37, 403, -44, -22, 214, 48, 37, 348, 84, 20, -70, -156, 55, -218, -179, 355, 191, -174, 13, 151, 68, 165, 134, -222, -76, 219, -60, 143, 353, -49, -71, 308, 93, 87, -36, -96, 130, -104, -150, 340, 245, -198, -77, -121, 213, -35, 78, 35, 90, -55, -57, 252, 158, 67, 51, 265, -71, 215, -67, 250, 74, 187, -46, 118, 149, -295, -14, 172, 144, 87, 52, -86, -248, -117, -21, 195, 378, -16, 31, 250, 50, 212, 26, -483, -10, 103, -36, 276, 291, 54, -109, -58, 209, -12, 6, 366, 109, -19, -49, 216, 51, -196, 45, 400, 41, -77, 37, -251, 131, -14, -16, 331, 127, -203, -77, 331, 272, 48, 60, -232, 38, 290, -97, 223, 295, 228, -80, 183, -13, 2, -3, 122, 84, -81, -35, 459, 213, -20, 26, -6, 201, 152, -17, -349, 265, 153, -24, -88, 176, -90, 122, 397, 25, -26, -80, 140, -1, -67, -169, 365, 142, 83, -47, 65, 43, 169, 124, -11, -113, 15, -16, 40, 394, -299, -53, 190, 136, 71, -61, 37, 2, 32, 10, 266, 212, -29, -118, 426, 347, 118, 61, 61, -3, 10, -31, 103, 276, -222, -51, 216, -74, 357, -15, -560, 133, 352, -81, 529, 127, -109, -54, -17, 120, -4, 145, 400, 227, -213, -52, 93, 220, 44, -37, 15, -26, 63, -45, -152, 198, 382, 54, 417, 255, -183, -56, 161, 240, -108, -29, 109, -177, 184, -46, 317, 273, -209, 168, -5, 27, 268, -23, 153, 4, -20, -130, 358, 288, 83, -33, -150, 170, 85, 20, -270, 131, 381, -26, 328, 412, -143, -96, 374, -15, -137, -24, -222, 56, 9, 14, 303, 9, -200, -131, -84, 236, 354, 34, -27, 28, -20, -66, 246, 137, 19, -52, 454, -19, 8, 82, -280, 87, 313, -60, 274, 69, 5, -66, 31, 83, 67, 117, 10, -6, 32, -78, 86, 344, -162, -81, 321, 98, 12, -21, -131, 50, 31, 29, 129, 265, -232, -88, 109, 134, -48, 57, 102, -66, 219, -137, 217, 199, 29, 64, -282, 56, -33, -40, -201, 231, -226, -93, 129, -17, -389, 16, 160, 143, -186, 115, -77, -182, 45, -1, 18, 232, 40, -35, 255, 66, 256, -71, -515, -90, -176, -194, 355, 182, 20, -116, -248, 185, 123, 103, -143, 106, -90, 14, 40, -19, -35, 26, 196, -124, -138, 11, -75, 298, 148, 6, 215, 75, 36, -5, -431, 39, 8, 65, -115, -69, -33, -77, 179, 160, -295, 49, 27, -80, 20, -33, 77, -152, 202, 18, 58, 125, 74, 36, -27, 232, -99, -34, 192, -6, -171, -129, 18, 237, -210, 202, 115, -33, 19, -51, -565, 175, -176, -3, 88, 117, -145, -34, 96, 43, -93, 130, 106, 24, -129, -75, 222, 48, -252, -83, -157, -180, 19, -1, -5, 104, -215, 49, 364, 30, -62, -12, 14, 193, -102, -110, -176, -375, -324, -16, -354, 141, -70, -2, 361, -10, 16, -34, -246, -86, -193, -76, 291, 134, -625, -65, 104, -15, 108, 277, -510, 59, -140, -80, -125, 200, -39, -54, -91, -25, -34, -66, -104, 39, -10, -86, 252, 43, 0, -24, -397, 312, -294, 225, -11, -115, 211, -29, 68, -14, -518, 65, 160, 14, 89, 12, -369, -10, -251, -139, 173, 62, 103, -50, -190, 63, -151, 216, -160, 33, -214, 61, -41, 57, -165, 69, -110, -167, -174, -80, -222, 8, 277, 107, 332, 2, -324, -136, -27, 167, 93, -9, -48, -147, -453, -44, -37, 113, -190, 68, 81, -100, -142, 41, -363, 43, 37, -13, 227, 107, -324, -56, -192, 82, -128, 85, -86, -131, 16, -128, 7, 255, -1, 122, 153, -14, 144, -33, -187, -61, -982, -18, 138, 88, -172, -47, 53, 140, 83, 42, -655, -35, -236, -103, 201, 241, -182, 154, 41, 23, -543, 62, 105, -41, -549, -82, 313, -313, 151, 0, -191, -13, 141, 111, 74, 95, -25, -36, -309, 247, -552, -38, -22, 38, 114, -40, -375, -168, -170, 120, 113, 213, -237, -51, -47, 110, -54, 110, -75, -56, -449, -70, -101, 233, -131, -2, -482, -29, 93, 73, -377, 183, -83, -64, 210, 61, -257, -37, -155, 80, -318, 219, -60, -319, -512, -65, 129, -74, -131, -110, -155, 26, 56, -22, -37, 125, -135, -19, 366, -161, -794, -99, -263, 253, -534, 51, 193, -256, -598, 19, -431, -20, -243, 183, -34, -141, -108, -124, -426, -57, 21, -54, 126, 202, -202, -40, -110, -67, -51, 130, -229, 7, -214, 55, -91, 303, -396, 53, -61, -65, -326, -45, -91, 11, -102, -148, 121, 139, -229, -68, -448, 166, -132, 81, -221, -151, -316, -65, 198, -75, -187, 76, 323, 210, -260, -27, 6, -102, -143, 41, -174, -143, -348, -36, -217, 253, -28, 286, -252, -6, -392, -71, -106, 386, -58, -95, 280, 56, 3, -117, -197, 10, -385, -96, 372, -255, -192, -23, -633, 246, -50, -7, 28, -10, -43, -51, -127, -95, -587, 105, -369, 54, 29, -9, -95, -85, -358, -2, 229, 325, -564, 54, -180, 11, 3, 78, 45, -291, -176, -37, -214, 387, 82, 73, -369, -130, -104, -37, -53, -38, -549, -52, 5, -31, -483, 19, 130, 176, -133, 107, -395, 31, -75, -33, -62, 168, 111, -42, -31, -74, 62, 140, -231, -124, 183, -80, 589, -35, 44, -79, -366, 91, -349, 371, 231, -5, -297, -34, 238, 71, -754, -19, 173, 18, -316, -43, -763, -160, -196, 65, 213, 132, 171, -55, -22, 145, 257, 48, -342, -118, -370, -29, -39, 154, -275, 51, 281, -69, -199, -1, -436, 103, -497, -66, 450, 161, -361, -82, 39, 70, -366, 103, 9, 109, -400, 53, -287, 144, 72, 49, -229, 176, -204, -32, -53, -329, 43, 87, 393, 29, -206, -25, -515, 386, -169, 125, -400, -118, -90, -40, -88, 421, -94, 90, -12, -167, 66, 87, -7, -16, -939, 52, 201, -72, 20, -40, 269, 129, -187, 166, -626, -182, 212, -19, -300, 258, -95, -34, 131, 109, -429, -1, 88, 9, -256, 11, 292, 8, -778, 6, -286, 255, -158, 169, 17, -123, -204, -82, -225, 214, -257, 124, 106, 98, -183, -84, 52, -240, -104, -2, 98, -74, -362, -46, 133, 139, -112, 291, 18, -355, -248, 27, 217, 82, -164, -157, 28, 24, 163, 37, -255, 87, 156, 140, -5, 139, 283, -168, -216, 274, -471, -19, -109, 109, -125, -60, 242, 87, -59, 102, -297, -4, -273, 187, 34, 309, -311, -8, 233, 61, -295, -105, -234, 153, -113, 149, -11, -213, -320, -44, -241, 394, -206, 127, 455, -109, -16, 39, -447, -231, -459, -182, 298, 200, -132, 36, -48, 255, -109, 136, -49, 70, -337, -112, 204, -170, -80, 188, 743, 169, -138, 82, 177, -149, 82, 4, 61, -111, -416, -92, -126, 266, -82, 176, -272, -34, -247, 8, -91, 385, -264, 55, 118, 46, -139, -54, 0, 41, -59, 145, 35, 13, -128, -16, -470, 236, 51, 192, 231, -67, -629, -58, -500, 191, -5, -43, 235, -26, -8, -10, -622, 8, -319, 125, 661, 187, -171, 11, -21, -24, -412, 265, 325, -56, -197, -127, 68, 75, 35, -36, -709, 45, 36, -68, 254, 48, 168, -45, 306, -15, -375, 55, -135, 477, -363, 85, -152, -321, -583, -34, 31, 331, 140, 205, 121, 38, -5, 1, -367, -148, -93, -37, 227, 403, -87, -44, 168, -22, -121, 214, -254, 48, -300, 37, -144, 348, -172, 84, -39, 20, -282, -70, -129, -156, 119, 55, 453, -218, -100, -179, 276, 355, -279, 191, 238, -174, -24, 13, -61, 151, -815, 68, 649, 165, -96, 134, 50, -222, -550, -76, -36, 219, 322, -60, -107, 143, 86, 353, 65, -49, -628, -71, -70, 308, -187, 93, 279, 87, -12, -36, -233, -96, -16, 130, 413, -104, -137, -150, 136, 340, -17, 245, -169, -198, -264, -77, 171, -121, 153, 213, -531, -35, -196, 78, -211, 35, -105, 90, 247, -55, -518, -57, 100, 252, -402, 158, -134, 67, 44, 51, 59, 265, -221, -71, 225, 215, 28, -67, -22, 250, -737, 74, 30, 187, -149, -46, -169, 118, 137, 149, -421, -295, 388, -14, -373, 172, -79, 144, 156, 87, -97, 52, 81, -86, 401, -248, 508, -117, -950, -21, -420, 195, -104, 378, 18, -16, -129, 31, 74, 250, -335, 50, -23, 212, 44, 26, -265, -483, -120, -10, 269, 103, 265, -36, 84, 276, -275, 291, 140, 54, -1068, -109, -105, -58, -66, 209, 70, -12, 158, 6, -421, 366, -130, 109, 248, -19, -138, -49, -82, 216, -89, 51, -412, -196, -46, 45, 421, 400, -83, 41, -218, -77, -73, 37, 229, -251, -312, 131, 287, -14, -225, -16, -244, 331, -76, 127, 372, -203, -151, -77, -481, 331, -119, 272, 479, 48, -129, 60, -368, -232, 214, 38, 502, 290, 55, -97, 64, 223, -152, 295, -460, 228, -522, -80, 222, 183, -277, -13, -342, 2, -195, -3, 237, 122, -400, 84, 202, -81, 67, -35, -578, 459, 117, 213, -143, -20, 138, 26, -22, -6, -618, 201, 279, 152, -133, -17, 109, -349, -300, 265, 302, 153, -262, -24, 73, -88, 58, 176, -175, -90, -582, 122, -96, 397, 23, 25, 36, -26, 365, -80, -564, 140, 60, -1, 349, -67, 153, -169, -107, 365, -660, 142, 111, 83, -331, -47, 279, 65, 57, 43, 7, 169, -313, 124, -431, -11, -65, -113, 201, 15, -194, -16, 341, 40, -82, 394, -7, -299, -144, -53, -129, 190, 96, 136, 396, 71, 100, -61, -108, 37, 63, 2, 367, 32, -189, 10, 125, 266, 275, 212, -465, -29, -112, -118, 46, 426, -521, 347, 259, 118, 277, 61, -84, 61, -590, -3, 187, 10, 226, -31, -683, 103, -17, 276, 400, -222, 344, -51, 132, 216, -648, -74, 431, 357, -86, -15, -78, -560, -194, 133, -215, 352, -191, -81, 194, 529, 373, 127, 153, -109, -539, -54, 177, -17, 224, 120, -27, -4, -748, 145, -37, 400, 10, 227, 41, -213, -289, -52, -90, 93, -438, 220, 520, 44, 139, -37, -299, 15, 66, -26, -185, 63, 12, -45, -276, -152, -42, 198, 691, 382, -668, 54, 103, 417, -453, 255, 197, -183, -172, -56, -14, 161, -207, 240, 386, -108, 86, -29, -294, 109, -244, -177, -89, 184, -224, -46, 355, 317, 27, 273, 175, -209, 25, 168, 177, -5, -113, 27, 83, 268, -281, -23, 21, 153, 163, 4, 571, -20, -201, -130, -156, 358, -348, 288, 386, 83, -180, -33, 88, -150, -141, 170, -505, 85, 28, 20, -458, -270, -112, 131, 176, 381, -180, -26, 215, 328, 204, 412, -97, -143, -624, -96, 9, 374, -217, -15, 524, -137, 507, -24, 192, -222, -82, 56, 292, 9, 96, 14, -367, 303, -567, 9, 291, -200, -244, -131, 108, -84, -173, 236, 84, 354, -272, 34], "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": "6038.2.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}