# Stored data for newform 8023.2.a.b, downloaded from the LMFDB on 16 April 2024.
{"label": "8023.2.a.b", "space_label": "8023.2.a", "level": 8023, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660932951, "dim": 155, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-4526112161, 775655579586, -38649467380097, 514361619782103, 7791325095408295, -163661899742349614, -847543543574524966, 18744433449063523789, 62253754637182401346, -1192061757405024939176, -3206647348475175304112, 49279099643726333022491, 119330661935111807374031, -1441014463684995696347247, -3318249853241804548679103, 31433564931075516321781897, 71112659458841368649560202, -530521217406986423853178234, -1205182853213480592831894219, 7114365754890312319853370752, 16493611004137356366840266750, -77340287256587686635603191063, -185416241689182767613579535470, 692203361264501215678243988791, 1736529945608219419066132391458, -5162248265711562090789523778024, -13711295931797773407567723470572, 32374651246367130526422835144154, 92202359805305118677420452803125, -171863247419375234828433611229079, -532698438346136469822935642536798, 775211678916907507984432013202433, 2664526634046811335817377865803526, -2971915175066945079251564045491140, -11616549786673126354592709583650852, 9633487605933779634814637014550174, 44404509367469792252805300365557984, -25995090141916377874708205672920264, -149604043738188994920876158852814365, 56045817335068064078986003945409046, 446304242459514928229523640224904917, -84644897513668192590114177552965520, -1183722867820835545748910350388400333, 29091045859803914258883413933660065, 2801111430831088537311001003261437742, 351822420506902439485594137775090435, -5931704755156798881385110326658202461, -1573338128321244531123965495027347940, 11268888669360526613835535186923509266, 4489534528979241925219151979541570741, -19243431759359716036345434143824851067, -10182193410980266056497024240435379026, 29577893335077679880730081488347161199, 19575758422529194267047136743592891406, -40945174996346586465596749548730268785, -32832418479556377523425148329443557988, 51032709332833331328943426863493147800, 48802485546176058490001214304712764100, -57173167268323269018967791647118387683, -64924354374853860346402802311428946810, 57364359837232319506752066741611989280, 77820974770996452803799680170293526647, -51181612261641024970510440258791930840, -84446737655704624079362080365376553932, 40055237235269213163165928880110600741, 83252825520654523711054632169122960820, -26721610325619780560087391156245406157, -74763563002493403687071052898169576516, 14140602666825843088526640569468558638, 61277188569109931679627037652344164825, -4457855750010329795456697790112075011, -45899901117997200658171695295611403213, -1507235443617514376960646421284857017, 31446763810340743165911035363379098846, 4133327064060822896074658135255262245, -19710322940646469337576827774275498153, -4464457294533525964416744014819479711, 11297723127483186701685409868156858314, 3632488525412148603965198514929407389, -5914941227272237463555686421409873291, -2487362460186600353015106846174370756, 2822209961064765185799064656337853695, 1492308626959686484047492277343606670, -1222454412095518338656509237158971807, -799622295766305186717945706275713820, 477614223373698692970161907073147729, 386703282281987614900795668291730160, -166445787701902132316677635896232615, -169836090948326088709713059364049549, 50665537041782782289455184994038173, 67993468368914332613417980259062220, -12867472396991025496076439916087579, -24867218881879122685233263357800126, 2381197288261721270353668511541503, 8316599548434993867632590102677156, -105815764614821561597521127103575, -2543551200683660202150693671137306, -162131366497784383104126488264792, 710766603636618138945028253418370, 97348825046442046584972551787987, -181123632414548295670183812798317, -38078763036041770819517140775962, 41955437069037091938865958903805, 12059543501530734604203834294646, -8789360437052130408902495274288, -3286917333391050401494611766950, 1651822791406481921610035456202, 790638333797615555533134485858, -274725732764736399631845561184, -169876842252770543551346088657, 39425805980466282243358331467, 32796671800575395391114658928, -4614620262735639826522337649, -5703325811884343734078173193, 367631025904191567849360666, 893447111401048531902965459, 2060437487481477026713171, -125847696436733173241150250, -8019728513058104921510251, 15877829700663418924067122, 1959584235939455966394481, -1783097715589168656395935, -330509849977336188079939, 176478968423538629898738, 45030739680307401060229, -15146156644001557408441, -5193165609255738340503, 1094594034116095894535, 515792829144323494050, -62451529016557019557, -44349068116381257219, 2274914229435783040, 3295194086375963007, 23456211549962005, -210019256476435894, -12555987317958965, 11326140813860447, 1264847033692385, -504981758190099, -85537092867382, 17847307459559, 4399115419689, -455307107619, -176303396795, 5887397831, 5443534382, 108767339, -124344076, -8261399, 1921774, 223779, -15745, -3250, -10, 21, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32092, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 64.06397754167325, "level_radical": 8023, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [8023, 1, [6894, 3054], [1, 1]], "inner_twist_count": 1, "level_primes": [71, 113], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 155, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[71, -1], [113, -1]], "trace_display": [-21, -16, -26, -40], "traces": [155, -21, -16, 151, -26, -10, -40, -57, 135, -2, -24, -32, -62, -18, -12, 155, -129, -42, -18, -59, -45, -17, -38, -27, 129, -44, -43, -100, -52, -39, -56, -145, -126, -1, -49, 131, -30, -91, -29, -5, -163, -80, -15, -118, -66, 2, -111, -89, 101, -121, 5, -111, -93, -68, -60, -27, -106, 16, -79, -103, -74, -102, -118, 175, -109, 65, -18, -346, -39, 32, 155, -203, -108, -87, -22, -16, -121, -75, -6, -136, 107, -30, -116, -5, -53, 8, -100, -43, -189, -76, 14, -99, -72, 17, -18, -50, -184, -249, -114, 229, -122, -110, -20, -61, -151, -10, -114, -126, -53, -164, -7, -171, 155, -28, -82, -115, -216, -41, 3, -11, 131, -52, -83, -119, -90, 90, -114, -374, -98, 71, -86, -118, -40, -201, -39, 115, -206, -149, -93, -96, -52, -21, -140, 173, -180, -28, 25, -82, -26, -59, 5, -312, -303, 94, -94, 13, -66, -89, -81, 69, -231, -17, -50, -255, -17, -3, -182, -183, 87, -194, -62, -47, -279, 2, -188, -186, -220, 67, -18, -213, -85, -98, -168, -64, -275, 71, -18, -200, -39, 53, -45, -20, -132, 43, -225, 223, -223, 86, 23, -229, -181, 0, -89, 187, -28, -7, -63, -201, -239, -282, 2, -168, -16, 27, -264, -143, -162, 31, -20, -128, 44, -195, -42, 83, 31, -21, -178, -63, 9, -145, 77, 61, -245, -12, -80, -174, -185, 112, -131, -378, -285, -49, -85, -142, -61, -52, -142, -198, -57, -88, -73, -161, -41, -90, 28, 283, -417, 45, 27, 28, 10, 133, -130, 217, -168, -37, 7, 23, -120, -199, -15, -592, -40, 42, -20, -136, -18, -47, -143, 103, -310, -31, -127, 151, -75, -78, -94, -557, 168, -203, 203, -89, -341, -118, 44, -12, -449, -85, -106, -132, -80, -73, 20, 167, -345, 20, -136, -352, 136, -101, -115, -79, -141, -242, -89, 18, -143, -51, 68, -151, -354, 91, -201, 32, -280, 62, -133, -116, -139, 323, -38, -205, -297, 158, -80, 266, -255, -2, -16, 26, -235, 168, -188, -151, 39, 85, -232, 50, -54, 43, 140, -88, -634, 21, -26, -168, -194, 48, -18, 71, 25, -48, -49, -38, -341, 282, 55, 78, -493, 146, -27, -237, 44, -63, 146, -4, -345, -274, 137, 237, -63, -134, -296, 50, -159, -26, 138, -266, -143, 466, 63, -660, -376, 154, -402, -474, -94, -377, -104, 312, -245, 209, 29, 12, 63, -68, -45, -177, -140, -37, -25, -111, -198, 48, 118, 12, -200, -110, 23, 261, -42, -160, -406, 60, -553, -10, -60, -115, -6, 153, 40, -185, -127, 145, 20, -196, -355, -1, -16, -306, -114, -42, -24, 378, 88, 69, -94, -446, -197, 11, 144, 151, -208, 74, 189, 72, -167, -82, -108, -187, -236, 123, -8, -226, -164, -220, -375, -438, 94, -349, 56, 45, -414, 288, 7, 124, -21, 169, -208, 346, -93, -116, 56, 380, -239, 194, -68, 47, -192, 410, -229, 295, 65, -220, -173, -251, -40, -19, 30, -6, -151, -100, -139, 494, -113, -22, -276, -163, -365, 425, -6, -601, -239, -213, -107, -362, 211, -224, -235, -131, -286, 399, -184, -388, -207, 182, -186, -332, 141, 219, -273, 139, -110, -208, 18, -424, -199, -254, -35, -39, -61, -271, 251, 513, -310, 366, 179, -288, -94, 1, -33, -52, -308, -427, 160, 14, -212, 60, 30, -399, -114, 259, -255, 276, -26, 217, -466, -57, -216, 98, 172, -83, -148, 50, 62, 358, -158, -198, -109, -93, -225, 169, 113, -141, -466, 334, -373, 595, 103, -65, -167, 187, -685, 257, 103, 30, 133, -41, 76, 122, -275, -56, 309, -3, -219, 307, -122, -426, -461, -128, -117, -702, 184, 55, -12, 510, -370, 59, 143, 174, -332, -98, -208, 321, 63, -126, -455, 235, -208, 934, 137, 160, -315, 185, -209, -156, -83, 17, 135, 76, -295, 146, 129, -64, -339, 428, -345, -268, -108, 51, 65, 128, -365, 291, 62, -298, -371, 94, 128, 131, -67, -334, 133, 367, -334, -120, -62, -494, -13, 144, -227, -204, -181, 159, 65, 183, -268, -10, 84, -479, 82, 57, -52, 70, 20, 191, 109, 67, -399, 535, 11, -708, -43, 161, 38, -249, 74, -252, -79, 3, 230, -157, 41, 109, 74, 321, -58, -291, -69, -2, 79, 316, -596, 654, 308, -79, -225, 460, 69, -358, -231, -69, 19, -109, -516, 89, -428, 11, 264, 665, -107, -171, -83, -151, 70, 207, -537, 189, 152, -696, 192, -191, -128, 319, -181, 54, -423, 331, -422, -357, -111, -399, 57, -214, 56, 638, 47, 208, 101, -40, -554, 337, -40, 331, -171, -221, -173, 91, -387, 183, 203, 382, -490, 417, -193, 228, -260, 157, 113, -419, -24, 69, -164, 685, -262, 249, 30, -169, -120, 511, -40, 603, -105, 277, 187, 489, -425, -42, 144, -543, -183, -409, -251, 111, -140, 317, 187, 60, -312, 706, 3, -181, -382, 409, -66, 736, -250, -138, 282, 309, -309, -80, 21, -265, 72, 463, -62, 105, 197, -185, 258, 129, -775, -35, -85, -368, -227, -93, 101, -526, 263, 230, 172, 157, -17, 262, -194, -573, -160, 108, -439, -32, -199, 320, 226, 675, -458, -48, 168, -276, 381, -191, -299, 245, -31, -32, -37, -367, -208, 849, 164, 507, -734, -90, -412, 676, 52, -111, 177, 3, -3, -33, 140, 459, 31, 198, -306, -515, -76, -82, 70, -333, -607, -171, 202, 195, -59, 251, -204, 686, 51, -79, 334, -57, -580, 129, -2, -63, -209, 358, -187, 113, -208, 534, 53, 320, -277, -182, 36, -344, 137, -315, -62, -90, -13, -19, 405, 37, -443, 730, 119, -433, -66, 29, 311, 647, -168, 236, -132, 389, -236, 244, 105, -246, -664, 126, -320, -56, -11, -390, 312, 519, -602, -243, 234, 3, -109, 224, 83, -627, 191, 173, -237, -554, -230, -142, -183, -334, 390, -41, -89, -156, 54, 352, 34, -412, -511, -221, 61, -419, 287, 48, -237, 288, 95, -410, 250, 125, 199, -59, 28, -326, -865, -18, 197, 223, 179, 241, 425, 177, -293, 2, 54, -137, 18, 381, -669, 193, -92, -57, -148, 564, -157, 905, 78, -99, 135, 543, -378, 674, -45, -395, 656, 467, -761, 179, -135, -584, 394, 273, -215, 378, -257, -58, -369, 223, 28, 83, -10, 666, -43, 119, 104, 723, 165, 563, -440, 83, -387, 356, 320, -246, -822, 729, -107, 1051, 112, 387, -239, -361, -111, -520, -148, -300, -12, -316, -439, 809, 70, 47, 340, 647, -555, -300, -78, 225, -434, 169, -158, 832, -180, 233, 99, 356, 200, 54, -383, -1030, -127, 630, 5, 0, -99, 219, 262, 506, -995, 423, -292, 266, -115, 244, -23, 410, -314, -315, 2, 187, 40, 868, 353, -18, -78, 48, 537, 194, 251, -9, 21, 1, -365, 240, -19, -693, 133, 487, 289, 242, 42, -2, 677, -185, -570, 407, -167, 155, -481, 186, -31, 517, -131, -543, 233, 73, 41, -176, 153, -242, 245, -34, 81, -1137, -290, -54, 867, 984, -387, -274, 364, 25, 134, 714, -344, 821, 326, 53, 258, 254, -139, 617, 284, -924, -299, 144, -549, -125, -168, 63, -220, 29, -132, 975, -33, 393, 20, 419, -199, 615, -13, 58, 163, -444, -471, 543, 45, -6, -38, 347, 96, 1022, -312, -219, -285, 220, -78, -665, -129, 17, 34, 1148, 322, -188, -168, 473, 112, 278, -936, 550, 169, -31, 169, 916, -181, 706, 344, 292, -118, -174, -631, 578, 325, -162, -320, 522, 316, 837, -162, -292, 615, 785, -469, 441, -24, 137, -426, 411, 33, -214, 70, -77, 126, 313, -33, 464, 469, -459, 105, 308, 70, 303, 58, -124, 220, -49, -624, 537, 71, 276, 428, 893, 232, 501, -516, -534, 227, 529, -351, -42, 255, 130, 396, 556, -182, 113, 382, 286, 126, -142, -378, 625, 321, -174, -505, 237, -23, 855, 56, 464, -150, -600, -244, 810, 240, 21, -692, 771, -21, 352, 299, 460, 594, 83, -471, 36, -153, 319, -118, 2, -288, 783, 186, -386, 316, 488, -119, 805, -128, 139, 376, 1305, 21, 57, -376, 276, 535, 794, -817, 643, 114, 605, 102, 619, -240, 1018, -209, -41, 372, -451, -18, -303, 315, 325, 49, 148, -54, -32, 87, -190, 279, 617, -721, 583, -183, 233, 394, 452, -202, 555, 303, -925, -228, 88, -399, 716, 75, -385, -608, 347, 378, -125, 212, 279, -56, 625, -289, -21, 430, -272, -293, 381, 243, 741, -16, -120, 743, 167, 24, -135, 226, 436, 380, 218, -47, 848, -240, -275, 817, 501, -209, 987, 698, -1162, -437, 944, 157, 336, -258, 3, -259, -59, 69, 405, 133, 69, -571, 761, -530, -351, 232, -173, 170, 123, -654, 433, 735, 186, -169, 97, 269, 1644, -312, 124, -321, 732, -291, 580, 189, -19, 313, 817, 464, 726, -28, 201, 337, 444, -782, 152, 82, 21, -276, 19, 26, 196, 180, 646, -32, 1045, -62, 2058, -108, 824, -253, 361, 142, -711, 71, 78, -1, 546, -62, 1107, -47, 517, 179, 279, -674, 9, -199, -386, -45, 483, -251, 838, 557, 164, -715, 1068, -278, 61, -131, 254, 387, 587, -481, 1332, 180, 29, 274, 655, 168, -708, -528, -192, -38, 851, -429, 237, 266, 1315, 382, 253, 141, 540, -557, -79, 46, -105, -556, 590, -158, -351, 477, 582, 136, 855, 241, 215, 201, -118, 108, 635, -85, 379, -107, 65, -412, 893, 190, 284, 154, 74, -952, 1119, 441, 422, -275, 71, -91, 1492, -148, -17, 428, 768, 339, 303, 308, -1774, 298, 546, 150, -1303, -212, 480, 72, -155, -530, 510, -9, -466, 557, -18, 51, -996, -146, 784, 290, 386, -235, 792, 559, -624, -90, 564, 39, -92, 113, 22, 210, 848, -367, -257, -227, -238, 750, -421, 320, 1319, 80, 759, 493, 516, -437, 800, -152, 531, -184, 435, 191, 713, 292, 274, -1, 946, -431, 551, -286, 108, -152, 837, 513, -666, -38, 307, 83, 487, -373, 105, 308, 848, -337, -130, -108, 239, 532, 100, -31, 413, -346, 712, 221, 396, 351, -138, -455, 482, -340, -318, 341, 607, 539, 1153, 209, -318, -345, 929, -72, 341, -147, -76, 101, 198, -367, 691, 541, 243, 862, 293, 28, 1493, 544, -136, 788, 219, -439, 691, 150, -169, 197, 302, 754, -35, 165, 904, -12, 1025, -1251, 836, 535, -1288, 42, 440, -245, -27, 378, 346, 693, 246, -535, 579, 328, 129, -176, 4, 71, 916, -309, -178, 687, 766, -601, 1401, 183, 983, -676, -73, -99, 266, 507, 74, 671, 643, 250, 1090, 491, 1450, -647, -309, 197, -100, -60, -96, 543, -422, -277, 770, 389, -924, 642, 1528, -103, -98, -340, 979, 479, 455, -922, 1272, 239, 321, 221, 124, -32, 521, 670, 568, 61, 916, -184, 902, 70, -55, 92, 312, 129, 999, -483, 545, 584, 547, -76, 1634, -145, -15, -101, 401, 479, 671, 126, 1076, 602, -418, -312, 572, 342, -307, -444, -133, 726, 1013, -195, -391, 571, 1047, -242, 537, 498, 155, -464, 158, 335, -47, 36, 711, -261, 202, -631, -155, -47, 473, 562, -81, -12, 392, 264, 162, -3, -76, 108, 13, 448, -428, 137, 814, 48, 1185, 576, 202, 535, 947, -62, 636, 447, 134, 48, -44, 42, 1201, 432, 396, 201, 103, -384, -153, 483, -794, -228, 340, 328, 990, 71, 425, -317, 702, -1048, 1660, -442, -575, -135, 1095, 255, -438, 269, -467, 613, 430, -483, 1598, 174, -623, 188, 357, -805, 393, 470, 225, 231, 721, -502, 132, 245, -54, 196, 961, -267, 1460, -424, 927, 822, 655, -84, 321, 500, 1091, -668, 1174, -237, 1493, 481, 236, -71, 1123, -1144, 409, 444, -755, -43, 670, 135, 2060, -129, 248, -408, 1398, 194, 12, 313, -86, 171, 735, -133, 1508, 269, -166, -335, 793, -656, 443, -286, 160, 327, 786, -461, 939, 199, 1005, 896, 735, -50, 1844, -161, 103, -839, 246, 694, 554, -234, 264, 604, 1384, 56, 1534, 527, 243, 441, -322, 458, 1179, 558, 193, 241, 1011, -94, 478, 786, 6, -579, 351, 258, 805, -35, -162, 249, 307, -415, 1694, -444, -100, 1215, 571, 225, 499, -786, -27, 862, 827, -306, -358, -41, 1105, -391, 662, -161, 494, -116, 832, 253, 1073, -1292, -438, -212, 383, 755, 1001, 280, 1706, 497, -302, 647, 427, -108, -89, -161, -589, -99, 340, -624, -1435, 292, 533, 436, -867, -616, -42, 435, -660, 233, 998, 228, 1775, -138, 258, -20, 184, 206, 680, -252, -1003, -172, 1583, 469, 737, -57, 396, -218, -134, -401, -553, -52, 292, -15, 783, 207, -274, -2, 1044, 196, 672, 12, 999, 946, -798, -68, 1387, 83, -153, -90, -121, 639, -750, -574, 231, 25, -135, 216, 441, -190, 1029, -63, 476, 363, 71, -842, 392, 88, -508, -324, 34, -544, 121, 504, 287, -151, 897, -668, 58, 168, -815, 939, -38, 397, -639, 195, 617, 288, -469, -659, 470, 163, 1201, 524, 181, -424, -172, 535, -155, -444, 731, -602, -39, 119, 535, -429, 397, 241, -205, 68, 442, 601, -821, -190, 529, 19, -892, -517, 414, -18, 1045, -204, 1377, 106, -954, -560, 258, 444, 236, -145, 65, 482, -91, -153, 557, 74, -107, 149, 302, 41, -404, -1176, -781, -2, 666, 77, -311, 333, 1775, -960, -129, -153, 219, 916, 870, -230, 1383, 94, 137, -236, 855, -798, 157, 48, -9, 280, 466, 189, -49, -649, 365, 480, -747, -56, 798, -197, -414, 77, -350, -538, 691, 58, 399, -201, -305, 22, 150, 229, 16, -533, -111, -445, 638, 539, -784, -418, -248, -1404, 1070, 473, -526, -85, 179, -243, 212, 257, 315, 26, -548, -28, -712, 624, -63, -651, 98, -572, -879, 51, -130, 622, 329, -88, -1385, 453, -366, 489, -415, 40, 286, -746, -64, 409, -59, 407, -625, 565, 799, -319, 551, -534, -821, -6, 159, -175, -145, -1084, 103, 345, -305, -177, 236, 47, -1231, 367, -1290, 575, 493, 35, 580, 171, -686, -146, 236, 318, 1376, -343, -385, -221, 1011, -216, 34, 657, 754, 1093, 173, -389, 1238, 186, 78, 641, -289, -902, -706, 568, -564, -680, 242, -256, -503, -141, 361, -196, 9, -386, 292, 232, -357, 460, -156, -430, 232, -692, 628, -276, -134, -198, 883, 522, -106, -572, -219, -614, -607, 327, -977, -126, 711, -627, 620, 224, -743, -734, -57, -260, 303, -74, 392, 1189, 717, -528, 822, 151, -47, -401, -28, 389, -530, -286, -478, -287, 57, -395, -14, 76, -518, -45, 506, -84, 727, -368, -841, 805, 470, -371, 550, -627, -546, -46, -209, -515, -549, 317, 451, 94, -824, -1122, -216, -271, 101, -277, -432, -10, 148, 195, 384, -83, -278, 381, 761, 633, -165, 59, 491, -206, 956, -270, -1, 335, -91, -612, -954, 284, -1292, 735, -1094, -534, -319, -214, 774, -64, 135, -327, -1383, -420, -217, -337, 63, -167, -40, 49, 82, 258, -433, -736, -335, 567, -997, 126, 250, 165, -1084, 56, -1270, -372, 359, -585, -548, -508, 535, -216, 126, 382, 1038, -16, -742, -223, 879, 444, 566, 13, 200, 280, -832, 758, -370, -205, -136, -142, 325, -451, 404, -580, -87, -474, 351, -540, -1742, -49, -17, 546, 97, 5, -244, 311, 587, -238, -643, -185, 806, 40, -814, 41, 109, 95, -84, 180, -919, 447, -262, -618, -1685, 397, 84, -5, -16, -320, -532, 483, 107, 565, 257, 94, 1757, 360, -461, 1101, 71, -586, 31, 490, -118, -385, -344, 428, -870, 315, 34, 586, -677, -933, -309, -164, -498, -582, -445, 173, -102, 415, 415, 984, 700, 108, 48, 334, -517, -507, 420, -523, 131, 372, -872, -385, -256, -871, -1121, 235, -1018, 544, -599, -213, -122, -798, -822, 669, -11, -591, -140, -139, 954, -542, -320, -391, 517, 790, -684, 48, -5, -445, 437, 355, -769, 30, 289, 278, -1691, -388, -24, 504, -177, -386, 47, -38, -689, 521, -372, -278, -1158, -552, 61, 87, 1379, -868, 493, 506, -1014, -513, -438, 216, 385, -570, 979, 555, 401, -916, 702, -619, -471, 209, 92, -30, 302, 86, -425, 243, -128, -439, 1013, 485, 902, -1331, -96, 923, 730, -383, 240, 132, -431, -134, 168, 229, -1164, -1217, 718, 137, -39, 188, -785, -36, -114, -1080, -821, -94, -963, -915, -227, 213, -120, -403, 416, -68, -390, 499, -1252, -170, -1246, -103, -504, -83, -844, 327, 319, 693, -218, -642, -242, -278, -435, 823, 203, -216, -606, 85, 522, 600, -965, -347, -931, -408, 378, -593, -91, 305, -105, 102, -656, 459, -42, -574, -979, 312, -1003, -186, 323, -157, -27, -46, -1510, 381, 591, -322, 1296, -466, -714, -959, 127, -112, -1228, -69, -568, 872, -361, -278, -40, 251, -428, 537, -85, -152, -582, -175, -276, 160, 749, 421, -956, 623, 1114, -556, 494, -381, 532, 288, -75, 491, 771, -461, -431, -48, -690, -335, 110, 406, 1909, -79, -113, -55, -47, 337, -80, 96, -1555, -29, 124, -160, -523, -564, -634, -253, 672, -919, 67, -162, 989, 470, -5, -620, -1633, 99, 145, 263, 9, -58, -1440, -193, 81, -199, -1010, 424, -402, 194, 777, -154, -1210, -1266, -176, 405, 443, 60, 566, 221, -170, -484, -520, 916, -103, -428, -1873, 40, 669, -458, -838, 641, 322, 1204, -332, -78, 696, 129, -69, -52, 332, 888, 51, 907, 124, -567, -966, 187, -1327, 26, 607, -165, -5, -60, 395, -128, -748, -106, -360, -836, 701, 18, -377, 470, -334, -789, -834, -503, 227, -484, -501, 965, 2154, -607, 139, -743, -36, 573, 813, 164, -1564, -44, -1216, 576, -23, -1140, -838, 357, 136, 170, 177, -187, -1113, -790, -1120, 20, -707, -153, 682, -541, 114, -1270, 522, 113, 1098, 399, 55, 420, -834, -924, 530, 158, -1272, 233, -24, -433, 340, -213, -166, -1143, -660, -266, -787, -163, 570, -513, -191, 114, 264, -8, 718, 149, 1064, -486, -311, 858, -963, 153, -312, -483, -1020, -191, 790, 205, -1142, -303, -814, 251, -627, -457, -44, 392, -2001, 525, 555, -189, -625, -1869, -313, 263, -1317, 196, 200, -242, -721, -96, -855, 608, -178, -507, -785, 130, -1983, 1053, -1752, 172, -147, 205, -827, 259, -109, -449, 443, 395, 413, 937, 1135, 1025, 205, 248, -887, 93, -614, -124, -80, 299, -194, 160, 440, 2, -2041, -354, -152, 392, -687, -362, 385, -10, -603, -703, -1034, -672, 154], "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": "8023.2.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}