# Stored data for newform 8043.2.a.n, downloaded from the LMFDB on 19 April 2024. {"label": "8043.2.a.n", "space_label": "8043.2.a", "level": 8043, "weight": 2, "hecke_orbit": 14, "hecke_orbit_code": 58546795189378923, "dim": 40, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-112, 10144, -29049, -301086, 795035, 3857170, -8129033, -28822072, 42258863, 137747769, -121049415, -433777392, 183315002, 916822454, -84435042, -1326563174, -198049809, 1337944608, 452491073, -950999914, -481390680, 475319359, 326847563, -162410704, -153519107, 34257002, 51307201, -2426152, -12243819, -967682, 2050662, 372678, -230012, -65043, 15388, 6561, -392, -369, -16, 9, 1]], [5, [507904, 15469746, 72926720, -810916904, -2487033265, 13917223802, 30993750682, -103903041508, -209408888057, 384206028528, 832277156852, -700736880001, -1971392435121, 442389078619, 2780094216510, 464417991443, -2324537692766, -1057706264460, 1121249859359, 855801649632, -266023147216, -383309594029, -5666214948, 102800430577, 23121124720, -16007098463, -7105261868, 1087908934, 1112743031, 67783978, -95797377, -20685092, 3575503, 1754561, 71897, -62279, -10748, 245, 247, 27, 1]], [11, [221970893321008, -895735728570634, -5293896840271652, 1506103546871388, 32030538237195851, 29999363278002240, -58191683774937689, -116259527137755988, -8486280519353035, 129776451113046938, 88794486736027358, -50123682853937751, -80288116347997750, -8128331278465310, 32905831434837663, 14610177194603845, -6241188164903230, -5967139638712512, -23715982511692, 1281375863556914, 288780076913105, -151786547995156, -70346489679452, 6796201259640, 8883640921390, 694110118668, -652966738631, -138079483236, 24794909128, 10616422679, -27405877, -443917469, -42601700, 9394822, 1900314, -36899, -34978, -2150, 198, 29, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32172, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 64.22367834571581, "level_radical": 8043, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [8043, 1, [5363, 2299, 6133], [1, 1, 1]], "inner_twist_count": 1, "level_primes": [3, 7, 383], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 40, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [383, 1]], "trace_display": [-9, 40, -27, 40], "traces": [40, -9, 40, 33, -27, -9, 40, -18, 40, -14, -29, 33, -40, -9, -27, 23, -46, -9, 17, -53, 40, -15, -62, -18, 35, -29, 40, 33, -47, -14, 1, -45, -29, 9, -27, 33, -49, -52, -40, -12, -49, -9, -45, -68, -27, -36, -88, 23, 40, -32, -46, -34, -96, -9, 26, -18, 17, 12, -45, -53, -23, -15, 40, 50, -32, -15, -31, -76, -62, -14, -89, -18, 4, 10, 35, 51, -29, -29, -44, -53, 40, -15, -60, 33, -24, -9, -47, -64, -39, -14, -40, -80, 1, 51, -71, -45, -21, -9, -29, 13, -102, 9, 32, -44, -27, 16, -74, 33, -31, 78, -49, 23, -56, -52, 1, -88, -40, -32, -46, -12, 5, -23, -49, 67, -141, -9, -51, -99, -45, 68, -43, -68, 17, -10, -27, 33, -53, -36, 23, -53, -88, -42, -17, 23, 39, -25, 40, -136, -83, -32, -46, -116, -46, -15, -93, -34, -86, -9, -96, -30, -62, -9, -23, 43, 26, 90, -68, -18, 4, 40, 17, -32, -55, 12, 35, -96, -45, -3, -113, -53, -53, -29, -23, -100, -45, -15, 10, -171, 40, 13, -140, 50, 14, 57, -32, 33, -44, -15, 17, 52, -31, -19, -47, -76, -89, 55, -62, 1, -148, -14, -80, -195, -89, 127, -24, -18, 1, -56, 4, 165, -69, 10, 47, -45, 35, -53, -36, 51, -21, 60, -29, -48, 9, -29, 23, 58, -44, 9, -104, -53, 56, -14, 40, 9, -27, -15, -24, 24, -60, 248, -37, 33, -9, -30, -24, 161, -108, -9, -49, 31, -47, 110, -134, -64, 89, -52, -39, -90, -90, -14, 19, -125, -40, -20, -144, -80, 30, 68, 1, -12, 1, 51, 3, -3, -71, 95, -49, -45, 108, 72, -21, 135, -88, -9, -19, 119, -29, 137, 36, 13, -45, -161, -102, 216, 113, 9, 45, -68, 32, -84, -140, -44, 111, 103, -27, 14, -170, 16, -11, 59, -74, -36, -97, 33, 20, -21, -31, -21, -88, 78, -70, -165, -49, 75, -124, 23, -36, 74, -56, 90, -113, -52, 40, -75, 1, 27, -149, -88, 48, -32, -40, -167, -115, -32, 67, -159, -46, -28, -95, -12, 81, 100, 5, -34, -153, -23, 36, -60, -49, 44, -96, 67, -3, -32, -141, 332, -80, -9, -90, -88, -51, -20, -40, -99, 26, 7, -45, -25, -105, 68, 56, -18, -43, -47, -8, -68, 24, -31, 17, -32, -30, -10, -67, 37, -27, 12, -132, 33, 8, 63, -53, -85, -45, -36, 1, -99, 23, 175, -52, -53, -77, 110, -88, 174, -58, -42, -23, -68, -17, -52, -136, 23, -10, -15, 39, -39, -149, -25, 115, 150, 40, -45, -80, -136, 15, 146, -83, 50, -68, -32, 65, -28, -46, 133, -32, -116, -41, -104, -46, 414, -95, -15, -142, -183, -93, -90, -80, -34, -31, -69, -86, -192, 44, -9, 131, -76, -96, -38, -161, -30, 239, -190, -62, 174, -56, -9, -164, 31, -23, -14, -155, 43, -80, 35, 26, 99, -89, 90, -101, -167, -68, 267, -121, -18, 93, 244, 4, 67, 3, 40, 4, -9, 17, -32, -175, -32, 24, 10, -55, 295, -74, 12, 109, -180, 35, -30, -71, -96, 182, 309, -45, 51, -125, -3, -2, -52, -113, 226, -29, -53, -23, -27, -53, 378, -54, -29, -75, 182, -23, 131, -106, -100, -44, -103, -45, -49, -21, -15, 204, -53, 10, -241, -148, -171, 88, 122, 40, 122, -107, 13, -63, 252, -140, -15, -101, 50, 7, -1, 14, 203, -60, 57, 120, 96, -32, 237, -96, 33, -61, 160, -44, -69, -39, -15, -24, -1, 17, 117, -239, 52, 50, -9, -31, -135, -247, -19, 57, -162, -47, 86, -46, -76, -112, 126, -89, -64, -60, 55, 79, -180, -62, 186, -39, 1, 134, -164, -148, 178, 54, -14, -82, -5, -80, 362, 162, -195, -40, 223, -89, -138, -160, 127, 49, -80, -24, 158, -147, -18, 124, -160, 1, 151, -63, -56, -57, 416, 4, 51, 37, 165, -219, 76, -69, 126, -71, 10, 127, 16, 47, 604, -100, -45, 16, 82, 35, 222, -97, -53, -21, 115, -36, -167, -100, 51, -37, -9, -21, -36, -63, 60, 169, -48, -29, 34, -1, -48, 28, -82, 9, 13, -67, -29, -154, 33, 23, -26, -102, 58, 36, -24, -44, 176, -151, 9, -207, 29, -104, -173, -45, -53, 32, 58, 56, 16, -134, -14, -20, -44, 40, -124, -179, 9, 120, -106, -27, -99, -16, -15, -237, 440, -24, 16, 16, 24, 178, 3, -60, -37, -74, 248, 134, -353, -37, 424, 11, 33, -177, 72, -9, 38, 173, -30, -31, 79, -24, 9, 2, 161, 81, 78, -108, -79, -159, -9, 255, -146, -49, 38, -140, 31, -71, 420, -47, 23, 87, 110, -79, -5, -134, -89, -56, -64, -39, 175, 89, -5, -358, -52, -31, 459, -39, 27, -78, -90, 1, 75, -90, -121, -106, -14, 170, -88, 19, -34, -46, -125, 126, 121, -40, -127, 77, -20, -163, 357, -144, -32, 51, -80, -35, 141, 30, -220, -46, 68, 100, -219, 1, 287, -50, -12, 65, 6, 1, -131, 159, 51, 5, -6, 3, -55, -7, -3, -115, -23, -71, 176, -184, 95, 310, 86, -49, 133, -64, -45, 84, 195, 108, 67, 158, 72, -10, -343, -21, -66, -141, 135, 55, 79, -88, 495, 5, -9, -139, -36, -19, 60, 103, 119, -51, 269, -29, -35, -172, 137, 86, -99, 36, -135, 89, 13, 180, -197, -45, -200, 57, -161, -132, -42, -102, 68, -199, 216, 93, -137, 113, -4, -43, 9, -1, 268, 45, 319, 2, -68, -89, 14, 32, -151, 162, -84, 17, 265, -140, -50, -160, -44, 94, -10, 111, 208, -80, 103, 97, 64, -27, -110, -5, 14, 3, 267, -170, 33, 7, 16, 137, -20, -11, 26, -53, 59, 391, 59, -74, 455, -70, -36, -77, 155, -97, -3, 52, 33, 23, 175, 20, -371, 45, -21, 136, -53, -31, -35, -97, -21, 89, -275, -88, -110, 211, 78, -98, 314, -70, -42, -88, -165, -107, -26, -49, 214, -17, 75, 41, -55, -124, 250, -51, 23, -98, 397, -36, 57, -156, 74, 39, 218, -56, -235, -144, 90, 127, -25, -113, 165, 99, -52, 22, -150, 40, 37, -183, -75, -133, 266, 1, -136, -90, 27, 56, 120, -149, 67, -83, -88, 21, -389, 48, 307, -127, -32, -322, -275, -40, 40, 162, -167, -46, 137, -115, -98, -92, -32, 48, -116, 67, -85, 108, -159, 208, -121, -46, -164, 72, -28, -169, -130, -95, -15, 136, -12, 99, 96, 81, -416, -93, 100, 122, -89, 5, 529, 320, -34, -231, -80, -153, -117, 40, -23, -86, -28, 36, -235, -293, -60, 249, -9, -49, 265, 89, 44, 374, -208, -96, -135, 79, 67, -104, 526, -3, -30, 73, -32, -95, 28, -141, 133, -62, 332, 121, 179, -80, 236, -221, -9, -88, 88, -90, -56, 266, -88, -23, 237, -51, 120, 7, -20, -59, 43, -40, -87, -59, -99, 90, -108, 26, 266, 152, 7, -72, 389, -45, 90, -31, -25, 136, -279, -105, 404, -68, 68, -42, -15, 56, 29, -121, -18, 176, 64, -43, -171, -63, -47, 4, 146, -8, 40, -24, -68, 20, 40, 24, -27, -1, -31, 428, 180, 17, 210, -216, -32, 147, 311, -30, -32, 37, -10, 197, -285, -67, -320, -55, 37, 72, 37, -27, 656, -106, 12, -100, 184, -132, 12, -158, 33, 35, 328, 8, -9, -54, 63, 307, -96, -53, -64, 203, -85, 90, -510, -45, 93, 89, -36, -177, 72, 1, -3, 67, -99, -166, -127, 23, -60, -113, 175, 99, 144, -52, 322, -22, -53, 56, 25, -77, -24, 180, 110, -53, -378, -88, -280, -159, 174, 143, -29, -58, 161, -412, -42, 434, -238, -23, 345, -188, -68, -6, 250, -17, -100, -1, -52, 117, -246, -136, -107, -45, 23, -181, 406, -10, 259, -137, -15, -162, 159, 39, -166, 81, -39, 10, 342, -149, -237, -76, -25, 289, -171, 115, -4, 25, 150, 291, -136, 40, -224, -53, -45, -165, -239, -80, 13, -75, -136, -163, 250, 15, -132, -140, 146, -57, -160, -83, 551, 4, 50, 198, 70, -68, -40, 13, -32, 14, 434, 65, -155, -105, -28, -59, 57, -46, -129, -64, 133, 423, -478, -32, -182, -142, -116, 145, 164, -41, 33, -203, -104, 38, -514, -46, -116, -44, 414, 18, -15, -95, 444, 33, -15, 72, -27, -142, -26, -124, -183, 17, 419, -93, -42, 55, -90, 161, 52, -80, 178, 14, -34, 383, -198, -31, 32, -120, -69, -219, 128, -86, -19, 75, -192, 237, 216, 44, 29, -47, -9, 83, -209, 131, 496, -9, -76, -103, 65, -96, -48, -102, -38, -89, 455, -161, 24, -231, -30, 294, 55, 239, -201, 11, -190, 126, 100, -62, 356, -115, 174, -98, 184, -56, 1, 165, -9, 120, 3, -164, 89, -148, 31, 94, -100, -23, 476, 211, -14, -242, -517, -155, 358, 44, 43, -80, 150, -80, -138, 51, 35, 10, -195, 26, -59, 230, 99, -4, -510, -89, 231, 192, 90, -26, 515, -101, 127, -9, -167, 50, -289, -68, 581, -24, 267, 119, -124, -121, 803, 25, -18, -48, 34, 93, 138, 132, 244, 1, 223, 4, -413, -288, 67, 279, -56, 3, -174, 18, 40, 270, -33, 4, 13, -322, -9, -62, 193, 17, 165, 242, -32, 26, -4, -175, -218, -69, -32, -87, 552, 24, 601, 113, 10, 101, -403, -55, 136, -204, 295, 47, 478, -74, -178, -109, 12, 98, -45, 109, -80, -46, -180, -234, 68, 35, 381, -154, -30, -194, 324, -71, -53, -124, -96, 0, 3, 182, -94, -36, 309, -81, 10, -45, 630, 142, 51, 124, -204, -125, 18, -67, -3, -21, 312, -2, -543, -165, -52, 117, 60, -113, -506, -393, 226, 323, -257, -29, 397, -249, -53, -82, 366, -23, -48, 232, -27, 115, 53, -53, 127, 9, 378, 97, 124, -54, 553, -128, -29, 187, 102, -75, 5, -277, 182, 23, -8, -23, -158, 110, 131, 331, 58, -106, -175, -138, -100, 150, 479, -44, 421, 174, -103, -133, -2, -45, 9, 62, -49, 343, -1, -21, 357, -104, -15, 135, 223, 204, 72, -36, -53, 305, -97, 10, 104, -78, -241, 56, 683, -148, 9, -396, -171, 189, -14, 88, 427, 35, 122, -13, -129, 40, 363, -93, 122, 320, 615, -107, 9, 164, 13, -27, 355, -63, 91, -27, 252, -229, -144, -140, 427, -14, -15, 27, -86, -101, 242, 128, 50, -24, 272, 7, -312, 88, -1, 523, 24, 14, 20, 12, 203, 216, -204, -60, 9, 84, 57, 7, 269, 120, 248, -48, 96, -130, -33, -32, 206, -37, 237, 214, 477, -96, 654, 298, 33, -130, 401, -61, -150, -201, 160, -9, 237, -44, 41, -93, -69, 118, -30, -39, 488, -87, -15, 172, 245, -24, 727, 69, -1, -305, 466, 17, 161, -130, 117, 60, -268, -239, -4, -108, 52, -114, 179, 50, 400, 58, -9, -62, -4, -31, -236, 76, -135, -49, 4, -247, 399, 0, -19, 417, 31, 57, 92, 173, -162, 297, 132, -47, 58, -151, 86, -130, 221, -46, 110, 221, -76, -270, 72, -112, 646, -134, 126, 28, 54, -89, 731, -223, -64, 329, -520, -60, -104, -251, 55, 89, 183, 79, -190, -36, -180, 137, -52, -62, -807, -30, 186, 241, -371, -39, 355, -299, 1, -44, 342, 134, -90, -78, -164, 292, -80, -148, -208, -90, 178, -190, 41, 54, -72, 100, -14, -117, 998, -82, 269, 43, -5, 19, 454, -80, 136, -39, 362, 74, -125, 162, -136, 49, -195, 171, 239, -40, 82, -11, 223, 27, -108, -89, -20, -165, -138, 466, 130, -160, 137, -144, 127, 98, 106, 49, 352, 377, -80, 43, 704, -24, 853, -7, 158, 30, -85, -147, 39, -101, -18, 430, 68, 124, -311, -235, -160, 544, 282, 1, 96, 149, 151, -207, 22, -63, -12, 215, -56, 67, 23, -57, 320, 1, 416, -18, 511, 4, 849, -193, 51, -15, -72, 37, 546, 134, 165, 3, 590, -219, 351, 97, 76, 394, -3, -69, 137, 342, 126, -111, -195, -71, -26, -25, 10, 90, 287, 127, 95, -61, 16, -231, 72, 47, 124, -49, 604, 207, -376, -100, 641, 495, -45, 436, 247, 16, 77, 25, 82, 108, 954, 35, 131, 182, 222, -60, 72, -97, 95, -189, -53, 267, -183, -21, 101, -311, 115, -94, 393, -36, 135, 356, -167, 337, 127, -100, -186, -88, 51, -250, 480, -37, 339, -40, -9, 85, -306, -21, 204, 98, -36, -19, 363, -63, 55, 121, 60, 444, 119, 169, -330, -86, -48, -126, -288, -29, 836, 66, 34, -425, 374, -1, 137, -19, -48, 40, -195, 28, -116, 36, -82, 257, -622, 9, 551, 388, 13, 68, -377, -67, 18, 15, -29, -45, 733, -154, -195, 113, 33, 224, -161, 23, 297, -191, -26, 209, -44, -102, 42, -244, 58, 19, 136, 36, 216, 499, -24, 135, 154, -44, -31, 113, 176, 24, -212, -151, 332, 287, 9, 141, 213, -207, -25, 228, 29, 45, 343, -104, 252, 282, -173, 172, -68, -45, -238, -262, -53, 102, -299, 32, -100, -22, 58, -83, 332, 56, -84, 267, 16, 90, 51, -134, 357, -140, -14, -96, 130, -20, 175, 157, -44, 413, 99, 40, 65, -76, -124, 111, 388, -179, -205, -302, 9, 76, 103, 120, -459, -28, -106, 341, 222, -27, -172, -169, -99, 184, 596, -16, 14, -168, -15, 5, -112, -237, -14, -170, 440, 89, 296, -24, 372, -51, 16, 10, -163, 16, -210, 84, 24, -11, 108, 178, 317, -318, 3, 159, 59, -60, 48, -54, -37, -170, 225, -74, -174, -287, 248, -6, 197, 134, -36, 502, -353, -42, 243, -37, -36, -97, 424, -42, 520, 11, 696, 156, 33, -155, 175, -177, -23, -266, 72, 20, 296, -9, -634, -1, 38, 465, -21, 173, -213, 136, -30, 208, 979, -31, 39, -311, 79, -405, 504, -24, -21, 209, 9, 462, -134, 2, -646, -88, 161, 143, 410, 81, 289, 18, 78, 111, -431, -108, 238, 25, -79, -70, 403, -159, -280, -52, -9, 450, -165, 255, 400, 157, -146, 335, -55, -49, 799, -111, 38, 243, 403, -140, 75, -95, 31, 82, 293, -71, -98, -124, 420, 16, -286, -47, 402, 353, 23, 207, -698, 87, 243, -396, 110, -36, 998, -79, 184, 40, -5, 218, 74, -134, -535, -125, -89, 235, -526, -56, -290, -181, -64, 40, 264, -39, 90, 304, 175, -121, -106, 89, 344, -113, -5, -409, -122, -358, 884, 103, -52, 72, -402, -31, 323, -288, 459, 40, 177, -39, -537, 453, 27, 466, -75, -78, -41, -12, -90, -332, 72, 1, -22, 111, 75, -366, -214, -90, 27, 152, -121, -30, -76, -106, 383, -149, -14, 504, -36, 170, 218, 509, -88, 141, 153, 19, -280, -217, -34, 48, -191, -46, 134, 108, -125, 199, -32, 126, -509, -437, 121, 211, -326, -40, -291, -282, -127, -179, 48, 77, -167, 314, -20, 249, 220, -163, 27, -115, 357, -583, 95, -144, 606, -91, -32, -172, -555, 51, 154, 327, -80, 67, 893, -35, 51, -178, 141, 660, -159, 30, -17, 203, -220, -116, 176, -46, 310, -139, 68, 4, 122, 100, -28, 313, -219, -51, -299, 1, 78, -95, 287, 147, 416, -50, 548, 282, -12, 335, 125, 65, -390, -153, 6, 81, 605, 1, -963, -331, -131, 33, 100, 159, 938, -330, 51, 339, 420, 5, 124, -136, -6, 225, 132, 3, -34, 135, -55, 164, 841, -7, 9, -153, -3, -247, -387, -115, 362, 311, -23, -409, -777, -71, 191, 200, 176, 36, 307, -184, -280, -324, 95, 762, -60, 310, -132, 235, 86, 127, 194, -49, -243, 362, 133, 114, 123, -64, 44, -278, -45, 154, 567, 84, 126, -96, 195, 195, -547, 108, 544, 326, 67, 150, -67, 158, -10, -212, 72, -3, 666, -10, -739, -125, -343, 418, -32, -21, -517, -156, -66, -214, -41, -141, 412, 117, 135, -294, 280, 55, 332, 20, 79, 110, 5, -88, -71, -80, 495, 401, -142, 5, -287, -37, -9, 299, -30, -139, -492, 283, -36, -90, -1, -19, 29, 209, 60, 526, -88, 103, -131, -229, 119, 194, -252, -51, 43, -297, 269, 154, 463, -29, -20, 10, -35, -18, -142, -172, 288, -40, 137, 190, 110, 86, 393, 122, -99, 135, -158, 36, 66, -380, -135, 26, 382, 89, -621, -61, 13, 139, 7, 180, -53, 523, -197, 29, 253, -45, -585, -209, -200, 9, 211, 57, -25, 456, -161, 411, 156, -132, 147, -105, -42, -99, 85, -102, -562, 381, 68, -313, 64, -199, -272, 13, 216, 56, 455, 93, -684, -31, -137, 541, -18, 113, -439, 63, -4, -209, -449, -43, -119, -9, 9, -724, 346, -1, -47, -310, 268, -30, -428, 45, -562, -8, 319, 149, -226, 2, 322, 586, -68, -219, -248, -89, -153, 16, 14, 24, 162, 32, -782, -30, -151, 147, -31, 162, -395, 82, -84, 174, -641, 17, -732, -305, 265, -339, -107, -140, -32, 430, -50, -171, 68, -160, -290, -30, -44, -154, 203, 94, 24, -117, -10, -92, 76, 111, 193, 67, 208, -67, -161, -80, -550, -202, 103, 80, 37, 97, -375, -16, 64, 93, 135, -27, 76, -8, -110, -65, -9, -5, 12, 276, 14, 22, -22, 3, -54, -132, 267, 227, -635, -170, 43, 345, 33, -143, -252, 7, -1182, -207, 16, 8, 328, 137, -278, -119, -20, -174, 63, -11, -476, -52, 26, 276, -325, -53, -146, -218, 59, -376, 215, 391, -85, 171, 59, -220, -243, -74, 350, -45, 455, 138, 81, -70, 492, 101, -36, -18, -438, -77, -654, -63, 155, 1, 428, -97, -873, -35, -3, 557, -99, 52, -447, -33, 33, -612, -8, 23, -1254, 5, 175, 125, -601, 20, 175, 365, -371, -22, -146, 45, -227, -52, -21, 113, 93, 136, -260, 345, -53, -420, -274, -31, -175, -160, -35, -77, -166, -97, -373, -281, -21, 184, 110, 89, 48, -75, -275, -87, 157, -88, 183, -264, -110, -147, 13, 211, 174, 381, 78, -90, 9, -98, -660, -58, 314, -517, -343, -70, 551, 67, -42, -420, 155, -88, -355, 98, -165, -23, -260, -107, -909, -141, -26, 487, -68, -49, -408, -215, 214], "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": "8043.2.a.n", "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}