# Stored data for newform 6031.2.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "6031.2.a.d", "space_label": "6031.2.a", "level": 6031, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915671951, "dim": 133, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [5092864, 328139392, -18148254720, -623189369872, 14238882431671, 388288711178289, -2601984803856044, -91363677406497517, -47455533739572592, 8038578775716633954, 22803475321970063798, -361343262100099340483, -1425265536441211943372, 9916015183423703796549, 45709603099952937949720, -187243120629361804528905, -939113625378639842617146, 2636099008122553675107035, 13674482541594354967446009, -29206921361023438165996326, -149690118558880622934654452, 263893178700859358572514067, 1280561445787930893691335064, -1988221354462669967389474436, -8799235094508886553330303451, 12659768842716986569949013874, 49567277524516131065474106144, -68696346196523257722492238494, -232541950208766690762339010696, 319576885966694954813856705067, 920019159111676795774811022292, -1281073290221466214865341103002, -3100738345868191666970764650781, 4447145151094706944612713840959, 8975687902797785875503669818070, -13435534499272856834938001157986, -22463741506105097258051790541000, 35501080050402859706386248433669, 48862020828977462723515135543938, -82439226894324558192251609496020, -92724603988575642761629385080213, 169017108628867050100145013957965, 153868021423845620217901952833023, -307261249922349522063439253157463, -223356740887512618120795100881471, 497280498696499886819383287367172, 282962289849519851919610191608523, -719117325301743866889778390691819, -310708453402809119725324350416083, 932268014771324911906472059026883, 291112317783661003875650738642594, -1086710038858920491620193966211782, -224328727562272860257859331135017, 1141988235651154078063449781386201, 127815990280057530240057571576177, -1084388755318564747951930334354241, -28752818154956865937377867914139, 932274170494467061428194734313777, -48212188318810541964590514234551, -726871181173823040929606205824795, 90464261629807945970977855083877, 514640773667140684116599017075424, -99460041591403852768569139026427, -331217759328364389270827064077695, 85989387346692269477698709035838, 193890259945939254427882933987574, -63022661871944024978231991325751, -103257767523024205180848259567116, 40395557573420152953173197584087, 50014375044390156891888314596179, -23011343295990591109015943555576, -22013653788361022980148152693152, 11760159606357854588612716514943, 8790020723039763975958030055588, -5424148867027470740825389660188, -3175249735011705845558786314778, 2266717411503104890598589352932, 1033019279545013717064292807030, -860476975127734233132177778674, -300478189095309942821465733979, 297223451354087749432894482073, 77174804446163657586708093194, -93507578997865845874030672620, -17096832011407561059168116411, 26803651890993135421598934817, 3100769328599513579588038095, -6999403320779576452248673508, -391058902126074419514315170, 1664050455434726779620355930, 2599549565972710849002580, -359753135767793591802952299, 17547595316912837000690632, 70602985768796556972435936, -6815526290165355257241237, -12548207292297900350386435, 1795394459276177100770709, 2013181036736840497034467, -382372760338688489328117, -290306998151886690397894, 69380359787126733517176, 37408686284444494676817, -10957173684212382682619, -4272526319934599971772, 1520532289064545207414, 427334654282515963474, -186081859387422759740, -36714034980854074796, 20084615680074522688, 2614841846402678247, -1907168679480439943, -142126658819133355, 158562825040916050, 4259611622617819, -11459864480956437, 174853747350977, 712767474699628, -38385814743113, -37621351086333, 3419061220493, 1652017449274, -212723378666, -58578699446, 10047987540, 1596075098, -364189501, -30210812, 9910228, 285484, -191882, 2353, 2366, -106, -14, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24124, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 48.1577774590342, "level_radical": 6031, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6031, 1, [816, 5218], [1, 1]], "inner_twist_count": 1, "level_primes": [37, 163], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 133, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[37, 1], [163, -1]], "trace_display": [14, 8, 34, 8], "traces": [133, 14, 8, 142, 34, 20, 8, 42, 177, 9, 23, 24, 23, 31, 9, 168, 98, 38, 29, 83, 26, 2, 34, 75, 177, 67, 32, 32, 91, 12, 24, 88, 27, 23, 66, 232, -133, 26, 28, 41, 132, 13, 11, 65, 107, 20, 10, 27, 229, 78, 19, 71, 7, 43, 41, 67, 45, 25, 97, -42, 65, 24, 39, 200, 60, 35, 25, 227, 120, 37, 26, 93, 55, -14, 5, 34, 21, -2, 50, 162, 341, 66, 30, -89, 30, -12, 80, -85, 225, -86, 1, 82, 42, -17, 70, 55, 12, 90, 17, 257, 193, 51, 11, 163, 158, 17, 57, -46, 101, 122, -8, -39, 130, -160, -12, 235, 136, 80, 117, 9, 212, -7, 18, -41, 177, 136, -24, 162, 289, 51, 200, 66, -9, 71, -46, 25, 86, 9, 108, 52, 19, 125, 57, 408, 79, 116, 22, -142, 135, -157, 15, 39, 351, -100, 39, 123, 18, -49, 133, -30, 336, 43, 133, 149, 64, 102, 90, -112, 254, 1, 69, -58, 33, 103, 86, 133, 30, 105, 126, 299, 18, -130, -7, 8, -34, -103, -5, -6, -8, 52, 134, 123, 72, 123, -31, 245, -38, -16, 29, 319, 33, 2, 35, 75, -15, 185, 44, 22, 389, -330, 30, 19, 72, -208, 89, 265, 122, 72, -15, 162, 40, -20, 42, -3, 192, -116, 108, -180, 96, 254, 44, -43, 192, -165, -31, 254, 216, -214, 130, 49, 145, 53, 39, 24, 209, -144, -123, 89, 79, 137, 203, 97, -53, 217, 111, 116, 313, -19, -8, -145, 205, -131, -29, -1, 55, 160, -71, -143, 83, -51, -19, 501, 83, -2, -42, 97, 55, 59, 65, 102, 304, -212, 22, -120, 8, 172, 54, 57, 425, 170, 90, 170, -31, 155, -61, -42, -54, -203, 147, -187, 63, 44, -13, 84, 288, -160, 10, -103, 159, -228, 241, -287, 99, 347, -12, 159, 46, -96, 31, 164, 179, 91, -87, 610, 111, 14, -115, 106, 571, -181, 34, 82, -177, -222, 172, -395, 10, 200, -41, 77, 332, 3, 25, -32, -275, 27, 59, 206, 62, 67, -122, -77, 361, 224, -67, 225, -8, -249, 103, -16, 368, 127, 90, -85, 322, 263, -139, 61, 237, -9, 101, -163, -96, -61, -141, -137, 231, 109, -17, 6, 288, -200, 131, -5, 21, -13, -49, 61, 272, -196, 116, 277, 259, -114, -17, 186, -111, -34, -10, 335, 283, -4, 78, 450, 445, -124, -23, -64, 213, -137, -186, -66, 127, 85, -144, 184, 65, -102, 110, 87, -15, -145, -265, -123, 606, 227, 21, 137, -26, -403, 212, -444, 104, 181, 251, -17, -51, -51, 147, 199, 645, 242, 17, -24, -81, 286, -336, -279, 300, -305, 7, 372, 21, -159, 90, -490, 131, 97, 53, -488, 395, 3, -116, 222, 330, -459, 224, 123, -20, 119, -231, 245, 346, 60, 2, -1, 109, -214, 430, -126, -23, 48, 38, -182, 48, 160, -54, -77, 8, -265, 195, 77, -88, 157, -237, -125, 160, -37, -133, 503, 296, 130, -29, -120, 50, -31, -146, -231, 192, -376, 38, 185, 191, 117, -1, 575, 9, -31, 42, -383, 322, -316, -214, 378, 172, -8, -118, -360, 389, -160, 161, -472, 147, -458, -94, 25, 277, 5, 97, -837, 160, 78, -300, 241, 401, 406, 6, 108, 375, -100, -35, -272, 126, -188, -9, 141, 125, -299, -218, 59, -282, 190, 172, -345, -240, 278, -257, 88, 392, -93, -158, -56, -9, 71, 225, 755, -22, 153, -91, -57, 163, -236, 13, 93, 71, -295, 114, -9, 116, 34, -11, -168, 390, -102, -463, 42, 7, -44, 238, -288, 256, -365, -144, -144, 419, -7, -83, -351, -38, -320, 93, 505, -66, 135, 356, -298, 19, 79, -8, 185, 422, 15, -14, 158, 449, -65, 169, 46, -98, -517, 137, -390, 230, -163, -12, 48, -1, -351, -200, 34, 253, 352, -89, 585, -264, -210, 134, 366, 263, 496, -301, 142, 40, -553, 48, 87, 214, -151, 193, -442, 167, -181, -140, 400, 141, -38, -2, 17, -198, -243, 119, -752, 17, 92, -145, 141, -89, -317, 130, 118, 170, -672, -39, 55, 104, 106, 104, -417, 921, -746, -204, 184, -411, 89, 14, 472, 22, -180, 13, -629, 516, -168, -29, 16, 95, -345, -115, -266, -15, -278, -237, 57, 59, 79, -160, 45, -258, -136, 70, 256, 64, 218, -35, -167, 231, -233, -176, -612, 573, -221, 516, -341, 15, -55, 28, -160, 180, 48, 77, -83, 64, -534, -240, -816, 120, -173, -24, -337, -47, -662, -184, -278, 17, -346, 115, -1112, 195, -73, -90, -118, 991, -382, -39, 118, -112, 50, 22, 424, 430, 30, -269, 280, -169, -550, 211, 68, -26, 81, 167, -662, 26, -114, 3, 370, 185, -431, -83, 106, -235, -600, 160, -446, -338, 187, -269, 53, 74, -32, -128, 314, 403, -398, 67, -124, 357, 173, 113, -58, 372, -121, 83, 62, -122, -2, 34, -354, -43, 200, -279, -439, 99, 203, -45, 296, -171, -425, 131, -341, 161, -819, 397, 13, 591, -403, -2, -122, 29, -339, -6, -495, 24, 217, 203, 31, 163, -171, -116, -400, 149, 56, -34, -24, -44, -148, -350, -401, 479, -760, 176, -397, -241, -115, -113, 291, -169, -91, -326, 38, 154, 363, -93, 246, -295, -384, 243, -422, -218, -129, 331, -239, 614, 95, 99, 144, -248, 34, -145, -75, 73, -175, -767, -48, 85, -178, -250, 95, 129, -268, 169, -345, 145, 113, -118, -733, 127, -282, -169, 42, 642, -776, 30, -913, -198, 327, -431, 0, 107, 78, -243, 173, 53, -500, 458, 128, -177, -216, -31, -470, 706, -203, -144, 138, -225, -499, -109, -197, -45, -22, -444, -211, -40, -439, -75, 953, 90, -17, -144, -113, -245, 9, -420, -629, 423, -81, 45, 27, 50, -222, 258, -366, 217, -67, 131, -165, -100, 99, -235, 152, 317, 288, 159, -663, -473, -84, 48, -141, 113, 20, -21, -134, 314, -153, -4, -1095, 68, -111, -463, -434, 75, 857, 220, 201, 234, -5, 54, -416, 202, -332, -32, 32, 447, -389, -184, 336, -52, 127, 394, -1050, 165, -280, -272, -427, 56, 222, -594, -43, 368, -81, 18, 49, -337, 78, -386, -732, 257, -647, 121, 556, -238, -143, 186, -299, -24, 25, -30, -32, 117, -700, -183, -272, 355, -306, -136, 398, 193, -199, -497, -230, 463, -1409, 30, -481, 213, -472, 205, -5, 303, -403, 56, -643, 266, 177, -287, 368, 370, 30, 345, -851, 77, -669, 411, -385, -91, -845, -274, -182, -196, -125, -176, -175, 107, -479, 197, -177, -461, -330, -139, 683, -199, 71, 27, 37, 136, 247, -383, -336, 247, -535, -294, -615, 410, -514, -22, 163, -8, 116, -144, 129, 451, -12, 67, -420, -289, -381, 5, -793, -54, 74, -218, -158, 389, -510, -108, 332, 462, -748, 73, -1178, -84, 284, 340, -351, 353, -866, -522, -135, 60, -272, 257, -66, 8, -583, -230, -242, 358, -383, -24, -48, -444, -811, 323, -80, 73, 273, -434, 117, -84, 77, -566, -139, 341, -173, -419, -785, 104, 270, -283, 114, 321, -681, -610, -598, -536, -231, 109, 205, -118, -193, 419, -558, 7, -133, -423, -88, 210, -627, -180, -734, 357, -471, -194, -475, 349, -415, -271, 784, -273, -274, -101, -1702, 189, -274, -693, -590, 414, -1135, -58, 1, 617, -253, -139, -146, -62, 482, -404, -88, -125, -678, -147, -181, -27, -549, 311, -828, 171, -113, -369, 181, 268, -722, -57, 39, -279, -556, -33, 110, -461, -436, -561, -302, 331, -201, -356, 853, -443, -390, -264, -1294, 488, 325, 507, -158, 369, -192, -73, 849, 20, -23, 185, -1685, -529, -422, -58, -91, 193, 11, -45, -260, -434, -181, 230, -1089, 286, -895, 6, -503, 254, -551, 96, -682, 122, -150, -48, 26, -186, 245, -126, -76, 745, -373, -188, -540, -108, 165, -66, 786, -275, -918, -494, 232, 607, -327, -366, 42, 117, -488, 73, -885, -439, -127, -665, -654, 55, -212, -131, 1447, -78, 8, 207, -1147, -55, -221, -37, -540, -126, -266, -256, -150, -183, -46, -12, -232, -260, -1043, -890, -666, 192, -796, -111, 673, 189, -504, -5, -1366, -534, -170, -120, -819, 419, -1188, -624, 187, 776, -661, -17, -458, -295, -335, -341, -150, 1499, -477, -366, 315, -675, -294, 261, -453, 133, -87, 241, -656, -214, 160, -262, -881, 636, -485, 185, -1535, -40, -3, -144, 102, 327, -872, -420, 165, -132, -166, 11, 110, -139, -339, -1063, -108, -208, -15, -187, -915, -156, -521, 389, 31, -255, -26, -197, -1318, 384, -1359, -302, 349, 27, -122, -154, -385, -120, 153, 22, -601, 857, -1498, -273, 348, -681, 202, 604, -1884, -251, 5, -144, -623, 413, -73, -19, 428, -5, -634, -52, -618, 134, -725, -28, -264, -62, -714, -433, -284, 604, -206, 276, -885, -143, -113, -324, -1083, 129, -174, -314, 45, -240, -489, -56, 366, -362, 288, 177, -1014, 32, -476, 75, -45, -103, -285, 279, -327, -400, 31, 88, -41, 845, -1341, -379, -136, -337, -606, 86, -1039, 303, -963, -781, -582, 160, -849, -267, -740, -188, -857, 47, -1479, 237, -870, 137, -271, 327, -817, -582, 314, 135, -691, 282, -725, -213, -268, 379, -433, -132, -785, -304, -609, 416, 429, -258, 882, 125, -453, 97, -152, 195, -706, -26, -541, -863, -421, -162, 212, -17, 402, -751, 169, 109, -769, -404, 200, 123, 109, 84, -527, 12, -38, -105, 640, 439, -13, 120, 270, -653, -514, 478, -1022, 19, -245, -116, -489, -123, 235, -246, 212, 372, -617, -155, 71, -85, -12, 780, -663, 614, -595, 14, 221, -291, 233, 492, 666, -145, -595, -368, -196, 598, -132, -11, -317, -108, -125, 7, 588, -134, -400, 440, -35, 935, 429, -511, 206, -16, 283, -408, -428, 564, 291, 327, 103, 334, 325, -529, 976, -942, 323, 408, 943, 216, 325, 184, -720, -276, 829, -233, -65, 110, 9, -677, -1101, 282, 547, -133, 235, -21, -820, -520, -550, 233, 36, 138, -803, 370, -550, -488, -207, 856, -1445, -121, 130, -368, 166, -398, 671, 671, 357, -104, -933, -159, -730, 250, 451, -107, 168, 41, -906, 127, -208, -395, -87, 278, -176, -40, 410, -771, -59, 220, 1184, -79, -394, -141, -64, 623, 347, -456, -285, -173, -315, 127, -374, 140, 693, 105, -188, 491, 190, -120, 1757, -239, -20, 358, -178, -218, -78, 383, 238, 263, -48, 123, -259, -176, 3, 127, -516, 497, -358, 88, -1191, 611, -1167, 163, 41, 138, -354, -367, -175, -273, 291, 43, -16, 341, 290, 156, -532, -181, -13, -10, 179, 7, -598, -181, 444, 938, 859, -158, -570, 85, 398, -454, -123, 363, 133, -1005, 306, 332, 379, -116, 627, -476, 264, -56, 216, -160, -118, -78, 664, 840, 168, -128, -195, -446, 608, -210, -27, 466, -763, -767, -698, 597, -227, 419, 1393, 752, 239, 141, -364, 48, -317, 258, -889, 23, 146, -372, 762, 401, -26, 269, -263, -307, -27, -373, -198, 834, 743, -82, 3, 167, -97, 869, -288, -229, 245, -151, -938, 127, 594, -151, 405, 18, -336, 313, -374, -412, -296, -726, 534, 273, -305, -330, 298, 236, 958, -474, -454, -30, -245, -254, -280, 578, 473, 367, 546, 215, 159, -244, 1889, 332, -78, -69, -605, -452, 476, -696, 532, 0, -318, 44, 402, 141, 59, 58, -855, 716, -255, -204, 462, -165, 443, 302, -1512, 49, 518, -642, 189, -602, 610, 159, 692, 898, -207, -443, -488, -152, -277, -19, 780, 1089, -1569, -719, 952, 59, -101, 3, 291, 89, 610, -305, -440, 669, 419, -97, -785, 783, 689, 435, 1365, 79, 774, -729, -977, -110, 528, 557, 1200, -142, 146, 400, 475, 214, 1246, -376, -71, 580, -559, -538, 173, 683, 229, 126, 437, 365, 53, 435, -381, 553, -404, 11, -276, 280, -84, -92, 704, 343, -296, 23, 119, 378, 673, -493, -42, 935, 640, -400, 24, -548, -450, 607, 26, -7, -786, 74, -327, -538, 392, -59, 892, 695, -617, 445, 286, 160, 82, -555, -16, -830, 763, 482, 1352, -38, 32, -208, -34, 217, -992, -253, -252, 595, 338, 610, 511, 176, -440, -157, 339, -398, -43, -180, 166, 331, -895, 125, 730, 619, 921, 192, 634, 692, -107, 93, -251, 800, -49, 161, -1065, -548, -188, 716, -259, 862, -118, 32, 607, 211, 177, 202, -279, 142, 54, -244, -515, 602, 358, -41, 649, -434, -668, -2, 327, 586, -163, 694, -259, 301, -477, -515, -276, -161, 1157, -107, -1278, -69, 983, 229, 782, 578, 782, -205, -266, 100, -475, 218, 1457, 251, -242, -281, 4, -241, 1033, -269, -67, 644, -946, -604, 568, 241, 1045, 868, -804, 328, 182, 160, 541, 318, 521, 103, -268, 533, -135, -323, -592, 291, -892, 164, 788, 110, 377, -479, 1276, 211, -6, 312, 90, 377, -736, 127, -625, -45, 6, 403, -1324, 208, 117, -638, 540, 292, 903, 23, -146, -913, -360, -428, 1256, -323, -171, -113, -149, 661, 470, 229, 809, 334, -58, 28, -598, -80, 353, 369, 179, 998, -1286, -166, 602, -89, -25, 26, -468, -363, -347, -151, 21, 247, 603, 205, -288, -443, -53, -18, -101, 196, -660, -232, 284, -104, 297, 541, -399, 951, -135, -95, -156, -196, 1333, 620, 1213, -28, -192, -174, -462, -160, -327, -97, 109, -324, -261, -162, 877, 1060, 766, -515, 320, 375, 949, -525, 633, -209, -259, -1009, -610, 1351, 53, -160, 1120, -242, 917, -204, -682, -371, 230, 562, -335, -63, 340, 0, -519, -334, 1215, 2, 42, 96, -75, -1120, -222, 948, -76, 282, 292, 645, 884, 87, -304, -21, 300, 299, -608, -203, -601, 211, -155, 972, -414, 430, -593, 161, 1269, -693, 1997, 870, 732, 143, -71, -265, -856, 68, -633, -65, 117, 240, -255, 412, 180, -101, 874, 202, -92, 156, 524, -617, 162, -983, 684, 126, 611, -389, 828, -779, 920, 29, 248, 94, 31, -932, -424, 1072, 1079, -174, 202, 117, -1031, -323, 718, -82, -24, 1162, -104, 166, 63, -152, 228, 39, 417, -228, 1541, -25, 123, -215, 529, 999, -100, -128, -423, 303, 143, 51, -127, -197, 514, -921, 223, 154, 1, 108, 798, -359, 428, -102, -455, 742, -257, -39, 89, 332, -520, -145, 93, 714, 978, 378, -409, -7, 195, -719, -244, -161, 401, -326, -140, 1051, 151, 99, 1600, -427, -40, -872, 7, -178, 439, 372, 1198, 525, 396, 133, 232, -234, 438, -790, -200, 1177, 456, -443, 78, -221, -203, 55, 614, 133, -47, -81, -677, 653, 143, 303, 288, 326, -498, 324, -597, 276, -749, 693, 13, 201, 1201, -296, 1037, 521, 953, 411, -98, 225, -109, 65, 709, -60, -490, -504, -960, 554, 939, 920, 284, -167, 755, 870, -272, -10, 519, -211, 96, 88, -802, -351, 1214, -617, 1240, -466, 1132, 267, -147, -627, -1032, 387, -241, 769, -450, 107, 107, 161, 261, 889, -35, 138, -414, 9, 78, 254, 2239, 418, 1322, 201, -386, -474, -454, -114, 1102, 723, 446, -204, 541, -46, -376, 415, -340, 411, -1368, -323, 364, -84, 1155, 558, 596, 249, 417, -941, -792, -8, -403, -25, -2, 1017, -610, -414, 512, 53, 35, -420, -715, 735, 674, -482, 110, 360, 1055, -124, -235, 407, 709, -497, 3285, -182, 372, -808, -365, -33, -123, -464, 1110, 405, -940, -169, -83, 238, 1696, -400, -227, -105, 542, -97, -1341, -55, 5, 401, 639, 960, 362, -81, -62, -178, 185, 73, 524, 179, 849, -1108, -231, -22, -184, 491, 358, -153, -437, -299, 1137, 591, 0, 49, 350, -104, -405, 134, -1424, -120, 181, 604, -2007, 42, 1016, 494, 80, 830, 460, 139, 974, -771, -235, 165, 2921, -603, -932, 72, 607, 71, 2769, -467, 1203, -479, -396, 312, 541, 477, 1218, 534, 317, 718, -429, -224, 727, 437, -37, 440, -498, 169, -3, -750, 782, -387, 694, -44, 1130, 800, -197, -142, 699, 130, -18, -310, 168, 1436, -592, 762, -711, 246, -368, -377, -1023, -457, 275, 202, 919, 100, -78, -105, -202, 501, 30, -26, -281, -322, -135, -487, 394, 817, 509, -74, -326, -141, 247, -479, -1208, -106, 624, -297, -357, 777, 169, -92, 501, -72, 349, 13, -695, 52, -307, 185, 508, 276, 1132, 79, -978, -68, 223, -244, -93, 719, -808, -1561, -459, 297, 307, 194, 243, 48, 238, -129, -591, -218, 1123, -67, -213, 1196, -677, -527, 8, 717, -570, -100, 134, 86, 831, -194, 479, 762, 458, 269, -273, -699, -666, -64, -1275, -55, -174, 775, -743, 818, 793, 359, 27, 7, 152, 236, -460, -261, 35, -851, 555, -1, -1205, -182, 749, 747, 1203, -202, 787, 185, -156, -900, -360, 1038, 1845, 287, -332, 345, 1790, 27, 1795, 479, 14, 822, -249, -180, -1111, 188, 743, 697, -538, 7, 946, -451, 907, -748, -561, 557, -541, 90, 722, -310, -393, 409, -2083, 527, 138, -474, 430, -832, 656, -81, 1032, 992, 371, 98, -1508, 298, 296, -5, 856, 264, 703, -201, -226, 186, -354, 364, 992, 699, 354, -677, 227, 570, -217, -669, -1098, 722, -235, -546, 1301, -174, 1105, 52, -1097, 507, -73, 8, 1724, -686, 710, 383, -944, -216, 466, -818, -34, -16, -471, -264, -143, 382, 693, 528, 2645, 173, 166, 83, -236, -463, 1104, -457, -363, -677, -805, 359, -1622, 583, 198, 689, -769, 89, 1251, -687, 717, 1030, 1309, -478, 946, -530, -833, -193, -105, -21, -521, -343, -489, 334, 864, 266, 332, 297, -160, 637, 727, -403, 32, -684, -396, -791, -479, -206, -145, -116, 1673, -1329, -350, 771, 266, -556, 445, 413, -249, 815, 1899, 182, -1180, 175, 792, 95, 2, 3, 975, 618, -331, 308, 546, 330, 845, -79, -161, 170, 1247, -84, 771, 504, -238, 318, 645, -54, 112, -20, -657, 403, 229, -74, -171, -191, 780, 887, 1295, -146, 150, -342, -786, 510, -241, -50, 1277, -73, -818, 69, 662, 412, -235, -780, 1170, 53, 38, -1518, -276, -212, 224, 442, -978, -429, -124, -705, 1104, 590, 1357, -484, 106, 384, 1271, -249, 357, 448, 943, -417, 385, -626, 2547, -337, -162, 1970, -550, -613, -806, 290, -119, 610, -156, 731, 275, -180, -1103, 263, -144, -82, -1151, -606, -23, -279, -1076, 635, -299, 277, 125, -452, 1118, -704, 214, 958, 500, 52, -538, -23, -695, -126, -702, -341, -118, 185, -1113], "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": "6031.2.a.d", "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}