# Stored data for newform 8043.2.a.r, downloaded from the LMFDB on 20 April 2024.
{"label": "8043.2.a.r", "space_label": "8043.2.a", "level": 8043, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698860907, "dim": 46, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-12176, -155656, 360908, 5841646, -3889113, -87422874, 19686377, 716877666, -49591740, -3680199122, 79527950, 12739868289, -295442928, -31174588708, 1478320639, 55702954219, -4494626539, -74425714110, 8615652269, 75721290370, -11282718569, -59492479106, 10641014363, 36480409241, -7475955356, -17588393588, 3998819471, 6695668689, -1650620220, -2014374790, 529521714, 477545994, -132202719, -88555246, 25574795, 12676041, -3791214, -1370633, 422104, 108098, -34122, -5860, 1889, 195, -64, -3, 1]], [5, [-1464900474868, 5791860774816, 11492365456596, -65707833442222, -22495867808288, 318164033885688, -55870433858446, -886627328415852, 367139502219161, 1623410642681000, -879207924416689, -2107534673018596, 1288220163759673, 2037930774561430, -1311286607260833, -1518842934125777, 982393221384639, 894040855538864, -559383887348785, -422888174960486, 246745192740200, 162569152252113, -85229200196521, -51098661941140, 23158332471271, 13148148153607, -4944819302338, -2761031074964, 823795721868, 469957902182, -105454560720, -64169499395, 10073871121, 6930111298, -675892786, -580817376, 26877818, 36795841, -102178, -1695254, -57271, 53382, 3435, -1024, -92, 9, 1]], [11, [22295759075792, -353018357184064, -1670018364874736, 19141737700785816, 18585187507752404, -247729295231428174, -112106301731983392, 1276468453041797468, 252656666349439801, -3458687566109124932, -49729792902190180, 5614781627109761606, -739719877544660036, -5846718998297851736, 1488128508720437687, 4053288926728143659, -1480831008101735850, -1905270816251994333, 911691624676334729, 607567047776226789, -376136303164092493, -127293492092941749, 108269146632620516, 15212606514314572, -22203710458065397, -160798248873470, 3265387889103381, -306249099939064, -341081670730946, 62777655197184, 24377083566197, -7048397709114, -1061617081415, 513370723851, 14109823037, -24804121698, 1355100087, 760198589, -96540792, -12458325, 2953200, 20621, -44538, 2679, 223, -31, 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": 46, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1], [383, 1]], "trace_display": [3, -46, -9, -46], "traces": [46, 3, -46, 45, -9, -3, -46, 6, 46, -10, 31, -45, -32, -3, 9, 43, -36, 3, -13, -19, 46, -13, 24, -6, 35, -11, -46, -45, 11, 10, -23, 5, -31, -35, 9, 45, -37, -32, 32, -28, -27, 3, -7, 46, -9, 16, -18, -43, 46, 10, 36, -62, -62, -3, -28, -6, 13, -36, -3, 19, -31, -41, -46, 42, 2, 13, -9, -70, -24, 10, 77, 6, -38, 14, -35, -41, -31, 11, 8, -59, 46, -53, -38, 45, -26, 37, -11, -26, -39, -10, 32, 2, 23, -55, 35, -5, -61, 3, 31, -15, -68, 35, -66, -24, -9, -34, 26, -45, -23, -54, 37, -43, -24, 32, -65, 54, -32, -70, 36, 28, 9, -57, 27, -75, -51, -3, -53, -1, 7, 8, -1, -46, 13, 0, 9, -165, -31, -16, -55, 19, 18, -66, -45, 43, -35, -1, -46, -122, -1, -10, 42, -84, -36, 13, 29, 62, -118, 27, 62, -144, -24, 3, -21, -77, 28, -30, -44, 6, 6, 20, -13, -40, -83, 36, -35, 64, 3, -109, 79, -19, -137, 11, 31, -80, -105, 41, -60, -71, 46, -119, 86, -42, -18, 71, -2, 45, -32, -13, -123, 10, 9, -185, -11, 70, -79, -33, 24, -119, -90, -10, 36, -141, -77, 21, -12, -6, 23, -22, 38, -189, 27, -14, -103, -5, 35, -65, -52, 41, -109, -86, 31, -192, -11, -11, 9, -12, -8, 35, 116, 59, -80, -24, -46, -223, -9, 53, -120, -104, 38, -102, -11, -45, -77, -44, 26, 53, -134, -37, 37, 29, 11, -56, 40, 26, -117, 32, 39, -210, -30, 10, -51, -157, -32, -152, 74, -2, -48, -102, -23, 28, 43, 55, -123, 117, -35, -105, 27, 5, 22, -56, 61, -127, -228, -3, -109, 13, -31, -95, 2, 15, 7, -95, 68, -110, 7, -35, -75, -46, 66, -126, 74, 24, -111, 53, 9, -54, -94, 34, 33, -97, -26, -16, 41, 45, -162, 89, 23, -163, 18, 54, 10, -119, -37, -151, 54, 43, -150, -28, 24, 68, -137, -32, -46, -37, 65, -65, 103, -54, -126, -10, 32, -273, -167, 70, -129, -53, -36, -146, 163, -28, 41, -58, -9, 62, -69, 57, -86, 72, -27, -98, 62, 75, -133, 8, 51, -112, -148, 3, -28, 58, 53, 62, -46, 1, 28, 73, -7, -107, 69, -8, -36, 6, 1, -75, -18, 46, -168, -199, -13, -328, 56, 0, 15, -145, -9, 36, -44, 165, -90, 153, 31, -165, 3, 16, 1, -9, 55, -93, 20, -19, -117, 66, -18, -38, -168, 66, 31, -74, 45, -88, 248, -43, -210, 41, 35, -149, -133, 1, -123, -24, 46, -289, -34, 122, -171, 56, 1, -42, 46, 10, -113, 100, -42, -99, -2, 84, -57, -138, 36, -296, -129, -13, -196, 51, -29, 102, -110, -62, 9, -101, 118, -106, 40, -27, -103, 70, -62, -298, 57, 144, -67, -4, 24, -274, -46, -3, -40, -107, 21, -10, 151, 77, -254, 71, -28, -155, -77, 30, 63, 73, 44, -103, 21, -6, -123, -8, -6, -83, -173, -20, 38, -47, 13, -182, 145, 40, -256, -14, 83, -205, -76, -36, -231, -74, 35, -242, 81, -64, -32, 101, -3, 41, -157, 109, -122, 196, -79, 30, 31, 19, -53, 71, 137, -352, -170, -11, -209, -82, -31, 115, 94, 80, -8, -79, 105, -19, -63, -41, -146, 59, 60, -247, -144, 71, -174, -36, -46, -338, 93, 119, -11, -102, -86, 53, 119, 42, -91, 197, 18, -87, 38, -71, -108, 168, 2, -179, -104, -45, -195, 6, 32, -103, -199, 13, 26, -21, 123, -139, 215, -10, -102, -37, -9, -117, -121, 185, -205, -144, 11, -214, 216, -70, -144, 104, 79, 26, -70, 33, -93, 178, -24, 62, 39, 119, -132, 156, 90, -80, -56, 10, -146, -33, -36, 46, 6, 141, -32, -97, 77, -174, 116, -21, -161, -2, 12, -14, 13, 6, -240, -32, -23, -259, -51, 22, -39, -38, -38, 55, 155, 189, -249, 160, -27, -170, -35, 14, -45, -26, 103, 106, 136, 5, -136, 122, -35, 74, -279, 65, 61, 95, 52, -3, 56, -41, -151, -3, 109, -144, -47, 86, -153, 124, -31, -244, 119, 192, 16, 2, 11, 15, -41, 11, -202, 173, -9, 26, 68, 12, -56, 348, 8, -126, -201, -35, -181, 13, -116, 235, 31, -59, 66, -18, 80, -244, 116, 24, -150, 24, 46, -138, 53, 223, -220, -108, 9, -175, 18, -53, 125, -106, 120, 34, 38, 104, 24, 361, -38, 17, -26, 102, 0, 33, 11, 34, 91, 45, -249, 10, 77, 188, -17, 44, 23, 47, -26, -3, 114, -53, -99, 54, 134, 41, -233, 37, -97, 286, -37, -130, 206, -29, -145, 32, -11, 43, -107, 56, -69, 307, -40, -9, 24, -26, -67, 85, 117, -217, -300, -32, -193, 165, -39, 171, -10, 210, 65, 99, 30, -149, 132, -10, 82, -54, 51, -30, 264, 157, -198, -79, 32, -315, 69, 152, -97, -67, -74, 70, 31, 2, -245, 385, 48, -94, -36, 102, 56, 59, 23, 111, 132, -28, -241, -32, -43, 243, -165, -55, -9, -356, 123, 105, 363, -117, -155, 57, 35, 110, -122, 105, -110, -48, -27, -203, 72, -5, 16, -165, -22, 75, -54, 56, -28, 275, -61, 14, 51, 127, -155, 133, 228, -141, -65, 3, -215, 66, 109, 192, -91, -13, 53, 7, 31, 11, -112, 95, -88, 1, -2, 85, -25, -15, -206, -175, -7, -184, 89, 95, -118, 22, -68, -8, 149, 110, -115, 245, -7, 108, 1, 35, -23, -108, 75, 105, 132, 46, -225, 148, -66, 89, -108, 126, -13, 77, -74, 110, 140, -24, -100, 0, 111, 236, -86, -53, -237, 18, -9, -100, -3, 54, -19, -169, 94, 165, -133, -34, -119, 292, -33, 42, 31, 97, 11, 131, 26, -57, -326, 16, -125, 31, -41, 289, 146, -45, 55, -159, 162, -115, -75, -89, -10, -19, -23, -71, -91, 163, -191, 31, -18, -230, 127, -54, 30, -178, -10, 66, 88, 119, -137, 68, 37, 94, 45, 151, 165, 299, -54, 186, 163, -43, 4, -123, 150, 355, -328, 28, 35, -94, -24, 319, 258, -68, -213, 1, 137, 89, -47, 32, -274, -158, 46, -89, 311, 37, -89, -60, -65, 122, -232, 65, -232, 424, -103, 255, 1, 54, -9, 181, 126, 259, -97, 10, 0, 119, -32, 212, -138, 273, -42, 121, 167, 284, 148, -70, -36, 84, 129, 191, -108, 53, -80, 487, 36, -564, 36, 146, 151, -50, -163, -13, 158, 28, -151, 162, -41, 140, -29, 58, -90, 139, 9, -81, 18, -62, -285, 96, 69, 207, -332, -57, 118, -108, 86, 111, 83, -72, -73, -27, 27, 105, -169, 98, -118, -60, -62, -79, 83, -75, -226, -378, 133, 144, 99, -8, -205, 196, -51, 1, 24, 112, 135, 449, 148, -40, -353, -3, -232, 202, 28, 400, -18, -58, 21, -119, -53, 168, -29, -62, -13, 77, 46, 253, 113, -1, -212, -226, -28, -174, -20, -73, 202, 127, 7, 30, -35, 107, -112, 405, -69, 158, 44, 8, 30, -257, 36, 137, 73, -6, -216, 386, -1, 281, -225, 75, -6, 18, 18, 406, 204, -46, 10, -20, 168, -127, 35, 199, -4, 202, 13, 34, 160, 328, -67, -121, -56, 40, -109, 0, -265, -189, -15, 254, 83, 145, -90, 157, 9, -10, -308, -36, -300, 96, 44, 536, -70, -165, 35, -276, 90, 199, 108, -153, 67, -64, -31, -32, 69, 165, -242, 412, -3, -251, 207, -16, -93, -88, -1, 109, -7, 9, -36, 345, -55, 172, -79, 93, 77, 542, -20, 162, 18, 19, -112, -29, 117, 542, -90, -66, 137, 40, 18, 140, 273, 38, -159, -11, 168, 63, -158, -66, -96, -284, -31, -275, 130, 74, -208, -208, -45, 80, -139, 88, -49, 362, -248, 119, 105, 43, -5, 138, 210, 361, -143, -41, -134, 251, -35, 636, -107, 149, 60, -50, 133, 45, -116, -1, 29, 71, 123, 484, 249, 24, -57, 158, -46, -292, -57, 289, -91, -445, 34, 119, 333, -122, 17, -50, 171, -62, -86, -56, 359, 482, -1, 171, 72, 42, -240, 194, -46, 148, -99, -10, 18, -306, 113, 281, 379, -100, -307, -71, 42, 491, -194, 99, 213, 108, 2, 82, 332, -84, -77, 48, 57, -45, -167, 138, -106, 240, -36, 368, 32, 296, -118, 255, 129, 222, -59, 13, -234, 195, 196, 500, 274, -51, 123, 531, 29, 84, -147, -102, -37, -10, 110, -60, -62, 62, -89, 152, -9, -302, 146, 101, 127, -396, -118, 185, 41, 106, -159, 288, -40, 233, 11, 27, 193, 425, 103, 388, -161, -70, -205, 415, 62, 158, -232, 298, 79, 487, -57, 370, 341, -144, -62, 33, 67, 243, 57, 4, -300, 120, -24, -180, 313, 274, -320, -136, 46, 119, -211, 3, -96, 103, 40, 431, 90, 107, 142, 378, -21, 46, -221, 10, -164, 305, -151, 510, -34, -77, -36, -116, 254, 630, 51, -71, -222, 141, 28, 37, 56, 155, 86, 172, 77, -185, 92, -30, 6, -337, -63, -21, 347, -73, -268, 367, -44, 3, 12, 103, 249, 252, -21, 613, 317, 6, 20, -108, 123, 484, -262, 8, -23, 461, 6, -31, -42, 83, -287, 22, 173, 494, -38, 20, 76, -45, -38, -167, 492, 47, -150, 179, -13, 189, -202, 182, 6, 442, -145, 136, -27, -40, 23, 474, 256, 7, -201, 14, -89, 521, -83, 364, 150, 205, 103, -310, 76, 520, -111, 36, -86, 5, 231, 280, 304, 74, -200, 244, -35, -367, -6, 242, 270, -104, -81, 65, 158, 64, -128, 359, 32, -28, 52, -101, 205, 24, 3, 100, 116, -41, -426, 120, 157, 366, -7, -109, 109, 132, 122, 301, 207, -196, -259, 86, 79, 100, -87, -30, -13, 43, -31, 85, 539, -19, -136, -342, 53, 192, 20, -71, -315, 233, -137, 559, 11, 352, -35, 604, 170, 285, -258, 11, -119, 464, 209, 513, -77, 82, -9, 94, 31, -76, 198, -115, -79, 12, -94, 111, 264, -80, -58, -357, 8, -147, 186, 79, -317, 62, -105, -35, -142, 19, 123, 667, 63, 127, -116, 41, 231, 341, 146, 408, 138, -59, -151, 631, -60, 412, -390, 247, 80, 653, 144, 565, 304, -71, -327, 24, 174, -39, -97, 36, -87, 293, 46, -27, 215, 338, -122, 185, -93, 223, -116, -119, -357, -165, 11, 315, 9, 102, -161, 496, 86, 231, -134, -53, 9, 490, -119, 642, -8, -42, 120, -276, 91, 112, -122, -197, -71, 104, -18, 276, 208, 87, -224, 170, -38, -1, 350, 71, -215, -357, 108, 102, 402, -168, 76, 287, -2, 256, 11, 179, 154, 511, 104, 430, 50, 45, -242, -55, 195, 534, -19, -6, 77, -29, -32, 611, 167, 103, 152, 44, 199, -124, -9, -13, -124, -21, -26, -187, -111, 21, 13, -154, -123, -53, -370, 139, -214, 558, -215, 220, 134, 10, 102, 307, 102, 334, -168, 37, -144, 624, 9, 664, -8, 117, -37, 642, 121, 165, -158, -185, -31, -29, 205, 460, 99, 144, 37, 396, -11, -110, 349, 214, -104, -431, -216, 56, 217, 70, -256, -56, 144, 10, -40, -104, 144, 290, -79, 159, -13, -26, -175, 318, 70, 148, -143, -33, 117, 147, 93, 340, 608, -178, -241, -32, 24, 447, -126, -62, -129, -177, -39, 39, 475, -119, -244, -254, 132, 210, -120, -156, -32, 224, -90, -38, 30, 80, -86, 657, 56, 514, -120, -10, -115, -58, 146, 601, 315, 33, 51, 474, 36, -50, 15, -46, -148, 157, -6, 542, -39, -141, -89, 173, 32, -540, -45, 97, 9, -114, -77, 152, 209, 174, 88, 222, -116, 59, -74, 21, 0, 298, 161, 438, 197, 2, -403, 578, -12, 205, -179, 14, 48, 95, -13, 665, 69, -6, -400, 102, 240, 301, 209, 32, -108, 526, 23, -40, 469, 259, -173, -70, 51, -28, 261, -22, -17, 713, 39, 272, -43, 38, 164, 463, 38, -215, -507, -55, -425, 358, -155, 414, 112, -189, 123, -374, 249, -31, -159, -160, -80, -117, 27, -51, -136, 170, 83, 243, 35, -50, -61, -14, -164, -179, 45, 105, 307, 26, 243, 360, -103, 344, -27, -106, 137, 706, -136, 349, 435, -5, -138, 283, 136, 895, -333, -122, -22, -12, 35, -107, 82, -74, -466, 56, 279, 177, 75, -65, -227, -403, -61, -83, 325, -95, -294, -269, -52, 127, -262, 3, -61, 327, -56, 178, 228, 41, 68, 428, 151, -373, -128, 3, 29, 846, -109, 420, -166, 144, 109, 305, 47, 75, 39, -86, 214, -13, 153, 584, 180, -124, -610, 220, 31, -320, 42, 244, -171, -52, -119, 95, 97, -192, 178, 13, -16, -80, -2, -2, -57, 708, -11, 71, 152, -15, -20, -143, 41, 218, -63, -11, -7, 157, 202, 237, 485, -173, -144, 95, 9, 125, -543, -26, -93, 662, -68, -202, 138, -12, -259, -406, 56, 110, 179, -348, -239, -378, -8, -61, -7, 126, -198, 292, 201, 274, -223, 35, -235, -249, 181, 745, -224, -13, 75, 375, 116, 178, -34, -235, -102, 46, -31, 586, 376, 59, -148, -107, -66, -368, -6, 18, -189, -54, -80, 126, 337, 244, -52, 437, -116, -121, -74, -24, 210, -82, 150, 43, 87, -24, -115, 189, -46, 61, -364, 138, 111, -154, -53, 229, -68, -223, -118, -53, 220, 567, 70, 108, -43, 290, -9, -434, 267, 175, -276, -290, -18, 54, 94, 53, -199, 146, -125, 360, 94, 106, -211, 422, -120, 118, -297, -34, -580, 205, -38, 326, -324, -104, -33, -170, -24, -65, -158, -361, -283, 97, 38, -126, -126, -17, -228, 9, 26, -436, 503, -102, -86, -1117, 0, 16, 214, -33, 24, 125, -11, 118, -41, -34, 188, 170, -91, -162, 52, -45, -223, -187, 249, 265, -392, -10, 162, 440, -77, 644, 261, -188, -285, -89, 17, -365, 32, -44, -182, -461, -23, -397, 261, -47, -533, -466, 26, 163, -101, 3, 108, 508, -114, -20, -18, 53, 95, 240, 99, 419, -260, -54, -231, 299, -134, 330, -281, -41, -10, 295, 233, 476, 16, -37, -36, 119, 97, 288, 229, -286, -63, -35, 37, -361, -429, 130, 235, -355, -206, 151, 431, 29, -266, -361, 145, -254, -54, -32, 192, 256, 11, -358, 43, -43, -185, -300, 107, 99, -554, -56, 150, -514, 69, 278, 130, -307, -518, 28, 40, -231, -17, 9, -325, -486, -24, -714, 209, 26, -368, -692, 67, -68, -152, -85, -157, 284, -117, 162, 137, 217, -291, 424, 300, -348, -271, 32, -264, -88, 193, 259, 358, -165, 46, -81, 39, -139, -205, -171, -382, 37, 10, -29, 198, -210, -276, -406, -65, -688, -141, -99, -232, -648, -30, 65, -100, 149, -162, 36, -132, -93, -103, 10, -4, -352, -82, 22, -89, 54, -449, 7, -51, 184, -61, 30, 126, 333, -264, -154, -16, -157, -263, 10, 198, -67, -45, 79, -123, 340, -32, -231, 272, 315, -767, -744, -69, 273, -80, -152, -167, -318, 97, 407, 167, 67, -61, 127, 74, -208, -737, -70, -722, -125, -31, 54, -251, -2, 129, -315, 245, 239, -2, -385, -98, 53, -48, -137, 25, 94, -506, -366, 36, -710, 139, -102, -94, -488, -56, 146, -189, -59, 111, -67, -23, 222, -163, -111, 325, 358, -132, -606, 406, 28, -175, -227, 241, 286, -315, 32, -41, 393, 43, -117, -9, -243, -423, 58, 165, 406, -92, 55, -3, -68, 9, -22, 612, 356, -627, -558, -123, -62, -351, -105, -42, -31, -363, -119, 69, 117, -517, -169, 155, -28, -309, -57, -303, 279, -35, 275, -240, -110, 86, 203, 122, -258, -278, -105, -374, -72, 110, -32, 107, 48, -185, 152, 27, -607, 376, 203, 94, -347, -72, 98, 292, 5, -54, -719, -16, -186, -62, 165, 183, 123, 22, -260, -254, -75, -354, -229, 54, -244, -90, -56, 133, -4, 28, 117, 33, -275, -292, -8, 61, -97, -64, -14, -248, -271, -51, -548, -109, -127, -576, -936, 155, 112, 64, -133, -288, 1, -228, -75, 148, 141, 3, 276, 65, -595, -401, -3, -501, -312, 215, -300, -81, -66, 28, -165, -109, 1, -75, -192, 198, -58, 91, -43, 91, 13, 142, -214, -53, -309, 71, -7, -436, -709, -31, -62, -22, -11, -394, 142, 112, 262, 46, -95, 188, -32, 88, -33, 354, -1, -113, -166, 2, 4, -458, -85, -28, 234, 25, 447, 197, 15, -273, -73, 206, -129, 255, 175, -255, 95, 7, -461, 85, 184, -83, -357, -89, 107, -606, -95, -91, 338, 118, 125, -69, -22, -11, 501, 68, 10, -199, 8, -355, -294, -149, 450, 415, -110, 36, -553, 115, -216, -235, -245, -91, -6, 7, -43, 35, -108, -231, -299, -1, -655, 295, -35, -434, -870, 23, 75, 290, 108, 66, -170, -75, 72, 18, -105, 173, 470, -132, -248, 98, -46, -329, -796, 225, -101, -416, -148, 168, 232, 66, 86, -126, -89, -211, 199, 108, 725, 212, -126, -368, -659, 13, -528, 237, -77, -593, 71, 74, 328, -312, -110, -157, -390, -140, 254, -56, 24, 156, -51, 100, -240, -375, 0, -232, -62, -111, 105, 7, -236, -15, -577, 86, -314, -436, 53, 108, 145, 237, 177, 506, -18, 109, -143, 9, -344, 328, 100, 125, -39, 3, -36, -128, -54, -26, -496, 19, 244, 44, 169, 339, 227, -94, -89, 67, -165, -195, -152, 133, 340, -353, 34, 90, -998, 119, 182, 261, -292, -556, -153, 33, 52, -14, -42, 88, 85, -31, 358, 396, -97, -74, -827, -11, 165, 117, -131, -142, 125, -26, 304, -3, 57, 134, 215, 326, -666, -255, -16, 30, -754, 125, 96, 93, -31, -1, 584, 41, -555, -111, -289, 3, 9, -146, -577, -187, 45, -290, -324, -55, -352, 39, 159, 97, -319, -162, 93, 87, 115, 172, 168, 75, 79, -20, 89, -289, -151, 10, 564, 11, 19, -612, -322, 23, -223, 154, 71, 117, -160, 91, 483, 243, -163, 218, -66, 191, 888, -127, -31, -357, 255, 18, -409, 464, 230, -445, -495, -127, 38, 227, 54, -58, -395, -30, -218, 168, 178, -239, 163, 10, -1, -107, -66, -216, 643, -88, -47, -394, -119, -31, -164, 137, 163, -409, -68, 333, 74, -37, 296, 189, -94], "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.r", "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}