# Stored data for newform 8023.2.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "8023.2.a.d", "space_label": "8023.2.a", "level": 8023, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915673943, "dim": 165, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [787040721, -11009104893, -2774570982860, 6596810476889, 1915263391909638, 2401040503950828, -487286686274703890, -1251742518905259211, 64737558738763948075, 204966971528669248453, -5276349824753181737667, -18080899143375059597639, 289656023836176534859862, 1010110316748434233851672, -11394578723554691840099016, -38858387368418516424324156, 335795100057559171934873558, 1085543297494751602091153550, -7663764398731161621738851892, -22863355720107818029254105866, 138942331097133051484028201698, 373411058289453210184071871815, -2040925926427989834370327638148, -4834094953898253229532714800836, 24673453273668745580290404772631, 50476985994495906083373425120506, -248662598816876674948418319107415, -431062022555169662069360817180585, 2111899485504306719142339348838328, 3043044749317864314151390078718198, -15258552876120396018647797747688478, -17893252546649017907691171748467949, 94574753021058179725504542919702054, 87976624228111019980762132554689624, -506695000575461767500285691546288807, -361187884187611865858252750191769871, 2362724595195809126414519154377056485, 1224922735890674888952053093838317879, -9649178096658084486995781563822661048, -3323244396737490483476096339255308607, 34709218252228379062174885841877671997, 6521425631709347225326811498161760631, -110537337612150206006884956480615455989, -5089017879851813610759381546901127576, 313106960008447443917247015581030132022, -26256137495483609576645342382521352181, -792123365974545239424220376808315941506, 161888367951554253301794861954927509376, 1796387678289129191445550394142017036122, -571188815836591328436141079511588800804, -3663557644792900822046302931353002909451, 1564489495552453762636928243944508586728, 6737327099701285924261652362173097727855, -3598130225077644371642723561339863248718, -11197740112103818321336743860551284868548, 7185316311424940797192755271893926507880, 16849315798952792614292058568256583778665, -12686791152047320817850008883526216832306, -22979378119469318782405193985620041636185, 20031042797745712663079165334626682262793, 28417351851398290698213312118819951540620, -28501219907984257886565238594131511537850, -31849325021968294575503139107662139628612, 36752472548080949683993269068858363594423, 32292445046198909530452670203735411350044, -43136574127018181298674242164281946400755, -29506698885738258526001932211691896721750, 46239247114132779007642997824548808576860, 24121152882396755587313759236379986455794, -45389443376247665843913639632256285358836, -17397784673737779315108942519479543396549, 40890137399078355752964247057422164980928, 10756058250339687407848272982322757977278, -33864933391513952758944685461500261431354, -5299955873148384840554710396473150844887, 25818433059013277370277517956978217935319, 1555509542121153837785974449086013832278, -18137672094778214413837720098196121030175, 516947529706565941512940236562763491902, 11748311584322310475836772996962184112237, -1317595218316261890885456425052185184722, -7018112336591899276476507215840285152044, 1354078988325585583928517351900136944315, 3865836907239660337021091343536542740321, -1055902322996945879941866630880479484115, -1962251993611992325657951908377762201527, 697148109064492634384161919144042579678, 916608439661629958569299885935976082210, -405612121845807637748092314597924025845, -393165062653273956675156262895368266283, 211971248367498692749934333112221775126, 154312543445001708239902208019322191909, -100554059774671004269825780637472046494, -55108848426743255811229172697465516591, 43573143319430651223095738277334795238, 17741326140954395205253340864303579473, -17315686140341040791644027175739559588, -5063673264372117372330499499533232050, 6325813135306441624617599819161001653, 1238769956896185051778605975590874827, -2127405811673783572637578279858506843, -238222206461108574417020328103201713, 659011675822351754079990867125911867, 24409926464563295301105860014599615, -188015352225005610956103182613671050, 6008694469606296960049490537272264, 49363360292413320585881456988869285, -4815589674658724003951423357876615, -11908523700708358195175827839625385, 1931404933940948523299862120527292, 2633223709762863043636659695472922, -601858583401924559830684241545435, -531731052183107933682315254250604, 159605868682790471856603015821920, 97513696945619846037958645702384, -37263658889474955481321421797219, -16101881093661254146109013868244, 7780832144409616942995057199744, 2360111489191688213025320120375, -1464474465448871625776246099749, -299045696253867145878951314769, 249389243877505770217053937609, 30864633442164991425505359394, -38470845701729969843617372815, -2131833540771805581988843405, 5372138852868306796627393244, -28243750782545740475540868, -677494820458533497432432800, 41754786190048567381066068, 76845308516785707871671766, -8973994448882755040899547, -7789426252347087159140698, 1356765505581257533676762, 698754612757701031165934, -166858585938062047894548, -54611220495133064417326, 17445914929104706352378, 3617033197364344004404, -1576408479643872989858, -191398563239053391920, 123694018841050580058, 6744885371995518538, -8411715181475308201, 11724372940727739, 492123258964709849, -25411905458197285, -24438642379857737, 2463405385485626, 1007175303332468, -155933442847385, -33089573296340, 7463256500136, 794385434983, -278047834574, -10270200892, 7985318734, -123122280, -169943597, 10279939, 2455076, -265620, -18995, 3630, -6, -22, 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": 165, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[71, -1], [113, 1]], "trace_display": [22, 18, 28, 24], "traces": [165, 22, 18, 166, 28, 16, 24, 66, 177, 14, 18, 54, 44, 26, 24, 168, 143, 57, 20, 49, 39, 25, 52, 27, 175, 48, 69, 28, 58, -11, 28, 114, 110, 55, 67, 202, 44, 35, 27, 53, 141, 40, 29, 52, 54, 29, 87, 53, 143, 16, 37, 105, 101, -36, 72, 57, 82, 4, 103, 53, 16, 54, 126, 136, 159, 53, 60, 220, 81, 16, 165, 176, 124, 29, 44, 18, 127, -91, 14, 158, 213, 20, 116, 67, 59, 30, 28, 79, 195, 16, -26, 173, 116, 53, 26, -36, 88, 150, 12, 166, 124, -22, 4, 131, 129, -18, 32, 150, -15, -40, 13, 97, -165, 84, 26, 185, 176, 67, 67, -103, 141, 100, 13, 57, 114, 54, 86, 173, 30, 115, 54, 134, 52, 61, 17, 145, 250, 155, 41, 268, 72, 22, 120, 94, 108, -2, 103, 76, 96, 77, 35, 194, 373, -10, 18, 97, 64, 59, 101, 21, 203, 34, 60, 339, 95, -75, 174, 65, 173, 38, -32, 69, 219, -58, 4, 156, 44, 119, 114, 197, 67, 190, 38, 82, 245, 21, 26, 211, 105, -159, 31, 42, 208, 57, -29, 22, 193, 40, -15, -4, 163, 92, 71, -17, 188, 97, 123, 67, 217, -122, 40, 112, 18, -17, 4, -101, 134, 61, 48, -116, 100, 61, 74, 55, 269, -22, 208, -15, 51, 315, 41, 9, 205, 252, -40, 150, 135, -88, 205, -62, -5, 58, 275, -38, 137, -184, 26, 78, 241, -46, 115, 111, 139, 46, 214, 108, 451, 21, 49, 190, 40, 65, 54, -67, 68, 205, -145, 79, 186, -139, -53, 545, 152, -160, -14, 64, 104, 267, -83, 19, 318, 133, 99, 166, 89, -186, 102, -90, 188, -3, 39, 173, 341, 158, -16, 4, 375, 3, -38, 8, 110, -25, 32, -47, 327, 344, 226, -104, -88, -35, 121, -163, 41, 328, -25, -62, 243, 277, 12, 385, 210, 73, 55, 355, 166, 84, 51, 66, 69, 41, 0, 155, 153, -90, 28, -70, 205, 155, -18, 146, 97, -14, 186, -13, -33, -155, 134, -2, 102, -125, 118, 22, 422, -143, 28, 406, 58, 12, 6, -47, 163, 178, -7, -86, 247, -10, -73, 298, 255, -130, 97, 331, 66, 83, -118, 242, 541, -306, -21, -111, 81, -18, 200, -260, 153, 16, 126, -92, 151, -10, -5, 399, 230, 44, 306, -84, 128, 89, -164, -57, 39, 65, -171, 294, -69, -90, 119, 151, 170, -49, -57, -133, 62, 289, -126, 68, 136, 92, 5, 85, -84, 146, 58, -8, 553, 16, -48, 71, -106, -323, 180, 327, 189, 69, -174, -42, 341, -269, 116, 220, 72, -136, 226, -130, -4, -175, 100, 202, 335, -252, -124, -166, 176, -132, 49, 320, 245, 310, -156, 277, 178, -21, -24, 286, 224, -62, 127, 218, 28, -97, -264, 86, 306, -304, 135, -2, 61, -135, 190, -378, 301, 34, 60, -25, 135, -86, -6, 131, 396, -234, 77, 39, 149, 98, -35, 37, 24, -65, 8, 202, -39, -88, 189, -238, -105, 110, 130, 141, -3, -203, 12, 26, 197, -171, 77, -302, 19, 204, 1, -121, 244, -325, 122, -40, -161, -80, 148, -166, 129, 55, 219, 39, 386, -260, -58, -6, 425, 202, 3, 149, -13, -11, 13, 275, 422, -6, 3, 188, -116, 171, -5, 156, 372, -133, -436, 282, 394, -272, -154, 9, 206, -115, 207, 72, -28, 215, 42, 66, 426, -130, -166, 73, 56, -138, 0, -237, 276, 323, -5, -305, 143, 369, -163, 167, 442, -158, 27, -83, 53, 283, 273, -69, 597, 305, -45, -54, -135, 147, 58, -180, 153, 432, 83, -161, 355, -93, 340, 416, 31, -436, 185, 352, 52, -87, -92, -378, 504, -341, 59, -274, 248, -290, 266, -231, 81, -184, -87, 41, 176, -354, 53, -16, 473, -119, 311, -36, 43, -39, 177, 80, 241, 142, -13, 222, 71, -220, 79, 83, 110, 135, -323, -214, 57, -501, -70, 684, 621, 46, 214, 87, 229, -28, -3, -353, 654, 26, -142, 134, 203, -244, 185, -644, 307, -183, 1, -192, 398, -16, 96, 89, 322, 129, 110, -60, -138, -25, -303, 125, 101, -441, -175, 456, -43, -41, 194, -401, 126, 287, -9, -573, 70, -365, -171, 63, -70, -73, 482, -427, -27, 14, -123, 150, 584, -398, -44, -85, 127, -26, 133, 430, -47, -114, -119, 212, 134, 85, -96, -61, 54, -279, 145, 313, 301, -187, -306, 51, 565, -285, -188, 176, -208, -639, 294, 291, 15, 22, 181, -95, 88, -21, -49, 327, 145, -54, -20, -100, 69, -68, 137, -852, 358, -311, 120, -75, 1, -105, 71, -363, 187, -65, -221, 176, 576, -641, -101, 86, 120, 5, -103, -451, 18, 461, 216, -382, 182, -199, 98, -7, -164, 131, -24, 125, -161, 111, 257, -379, 205, -58, -160, 294, 233, -211, 445, -93, -476, -355, 127, 458, 68, -426, -15, -135, -6, -339, 176, -136, 230, 436, -134, 385, 181, 160, 73, 3, 318, -377, 262, 19, 17, 17, -214, 105, 381, 221, -257, 40, 171, -151, -75, -282, -51, -86, 12, -317, 81, -70, -258, -37, 302, -596, 49, 54, 3, 208, -530, -185, 618, -140, 42, 100, -207, -151, 81, -697, 49, 383, -215, -71, 224, -403, -100, -63, 150, -10, 120, -208, -112, 209, 13, -367, 153, 202, -46, -133, 7, 316, 218, -91, 8, -262, 248, 95, 105, -299, -94, -173, 209, -472, 306, -489, 151, -179, -202, -66, 736, -543, 24, 631, -47, -266, 59, -23, 0, -340, -39, -520, 351, -906, -32, 440, 53, -415, 44, -360, 7, -387, -5, -49, 523, -542, -195, 249, 500, -137, -153, 203, 248, -356, -154, -251, 442, -408, -55, 522, 636, -172, 166, -388, -151, -22, -54, -291, 600, -615, -226, 99, 267, 72, 67, -327, -119, 113, 91, -316, 326, -738, -3, -279, 88, -309, -199, 364, -354, -314, -430, -84, 387, -251, -141, -259, -283, -2, 147, -768, -37, -598, -374, -305, -37, -149, -104, 302, 503, 26, 213, 247, -79, 91, -179, -271, 163, -262, -214, 547, -326, -511, 307, 639, -294, -197, -58, -252, 137, -573, 10, 377, -177, -223, 82, 432, 153, 129, -332, -68, 539, -541, -183, 650, -68, -467, -95, -390, 295, 560, -545, -443, 112, -185, -446, -190, 173, -507, 288, -437, -259, -61, -196, -245, 105, -568, 106, -216, 306, -99, 249, -969, 72, 202, 61, -333, -17, -364, -10, -108, 24, -328, 465, -559, -52, -213, 142, -253, 441, -540, -16, 155, -106, -625, -10, -936, -36, 303, -91, -18, 200, -2, 93, 422, -21, -550, 333, 290, -381, -709, 10, -464, 1123, -213, -364, -332, -193, -140, -87, -338, 530, 21, -6, 5, 128, -266, -77, 732, 116, -294, -87, -926, -35, 583, -515, -461, 647, -232, -87, 190, -125, -423, 3, -250, 40, -14, -203, -163, 888, -129, -15, 168, 107, 204, 53, -487, -227, 231, 193, -751, 269, 60, 251, -418, 45, 173, -87, -486, 386, -496, -245, -399, 281, -82, 132, -707, -54, 62, 114, -145, -8, -135, -46, -48, 497, 363, -134, 590, -33, -372, 153, 201, 318, 91, -60, -571, 166, -253, 99, -343, 272, -187, -361, -1, 69, -634, -77, -376, 411, -649, 75, -278, -406, -685, -24, -616, 162, -193, -119, -250, 52, -609, 143, -55, 340, -356, 134, -724, -422, -339, -320, 2, 682, -238, -659, 29, -21, -352, 341, 538, 174, -138, -314, 688, 299, -398, -115, -526, 412, 180, -180, -1019, 286, -88, -481, -439, 331, 69, -18, 605, -330, 81, 385, -722, 102, -70, -264, -169, 163, -704, -407, 459, -519, -172, -52, 767, -278, -136, 232, -355, -280, 195, -207, 204, -356, -233, -80, 473, 184, -546, 323, -579, 727, 57, -69, 542, -262, -356, 260, 361, -206, 88, -134, -24, 388, -1395, -67, 98, -209, -47, 377, -476, 192, -180, -106, 72, 412, -1046, -524, -165, 180, -281, -5, 366, -583, -428, 74, 233, 505, -402, -273, -553, -138, 258, 104, -757, -40, -80, -320, -372, -21, -871, -96, 15, -160, -871, -3, -513, -68, -60, 109, -216, 881, 127, -308, -783, 52, -601, 516, -732, -37, -511, 52, 239, 20, -765, -83, 22, -151, -446, 154, -54, -25, -34, 435, 509, 339, -345, 287, -359, -486, -322, -218, -183, -107, 147, 92, 116, 215, -1092, -43, -45, 498, -585, 138, -1079, -30, 161, -126, -507, 937, -517, -374, -254, 123, -77, 47, 17, 500, -166, -569, 569, 284, -305, -572, -916, -558, 247, 145, -334, -40, -715, -211, -17, 445, -673, -154, 420, -175, -120, -301, -640, -50, -145, 153, 49, 193, -119, -591, 79, -175, -159, 64, -603, -320, 377, 44, -829, 526, -47, -221, -248, 431, -755, -195, -996, -8, 118, -425, -653, -537, -324, 65, 737, -229, 345, -6, -780, -98, 369, -783, -620, 558, -737, 68, 969, -36, -385, 14, -590, 36, -529, 26, -463, -44, -590, -520, -52, 713, -691, 284, -201, -21, -158, -321, -830, 458, -941, -417, -587, 235, -51, 562, -345, 139, -2, 39, -163, 247, -558, -267, 54, 597, -272, -182, -771, -59, 98, 253, 47, 237, -414, -368, 741, -130, 103, -52, -264, 492, -420, -244, -883, 633, -51, -426, -669, 404, -317, 47, -1112, -39, -587, -480, -599, 260, -786, -146, 501, -239, -30, -130, -451, 97, 145, -325, -418, -456, -779, -147, 348, -395, -471, -258, 227, -68, 118, -702, -704, 812, -501, -297, -102, -57, -291, 247, -488, 378, 25, -16, -56, -91, -805, 168, 125, -10, -552, -226, -87, 282, -676, -244, -270, 282, -150, 87, -50, -315, -26, 511, -582, 504, -376, -252, -180, -163, -360, -397, 118, -6, -576, 307, -760, -269, -402, 174, -1273, 227, 297, -457, -408, 212, -375, 144, -427, -38, -521, 503, -788, 481, -892, -496, 11, 330, 233, 509, -1069, -40, 664, 167, -994, 501, -1397, 128, 28, -2, -355, -259, -762, 52, 411, -57, -115, 305, -191, -388, -920, 15, -800, 400, -1041, -552, -520, 333, -1103, 210, 190, -363, -182, -561, 108, -111, 134, 142, -348, 33, -543, -77, -499, 61, -370, -97, -823, 334, 31, -209, 260, -697, -194, 881, -227, -565, -25, -162, -417, -132, -199, -386, 357, -552, -693, 21, 301, -242, -67, 7, -146, 22, 68, -289, -208, -24, -419, 363, -62, -283, 212, 20, -224, 447, 27, -394, -240, -389, -942, -189, -625, -192, 475, -160, -250, 225, -1248, -357, 760, -509, -678, 579, -655, -325, -281, -552, -89, 217, -582, -327, -698, -53, 169, 4, 190, -299, -34, 261, -433, -379, -1316, -54, -528, -89, -192, 159, -776, 9, 156, -70, -774, -367, -1754, 466, -785, -805, -885, 294, -780, -257, 589, -331, -426, 788, -196, -550, -896, -603, -1116, 732, -424, -486, 47, 24, 278, 175, -889, 171, -443, -466, -133, 272, -1004, -325, -609, 145, -207, 173, -199, 302, -212, -494, -602, 560, -1016, -506, 239, -68, -485, 190, -1394, -427, -29, -411, -825, 282, -1471, -466, -168, 160, -550, 239, 601, -404, -445, -137, -256, 253, -441, -395, -343, -640, -577, 308, -68, 28, -622, -531, 523, -70, -1595, 58, 278, 101, -76, -92, -1463, 224, -618, -249, -33, 2, 598, -17, 326, 764, 48, 10, 83, 178, -386, -293, -773, 192, -329, -735, 206, -4, -1038, -230, 662, -119, -117, -251, -768, 12, -1040, 126, -117, 193, -1381, -409, -622, 269, -93, -1093, -150, 7, -538, -296, -115, -298, -509, 477, -1421, -266, 281, -119, -77, 764, -1492, -699, -682, 20, -777, 133, -1080, -218, -649, 58, -271, 46, -145, -64, -543, -336, -408, -35, -1319, -173, -768, -675, -85, 780, -1123, -502, -105, 69, -248, -57, -600, -143, 467, -556, -102, 554, -1118, -169, 88, -417, -509, 65, -1028, -337, 2, -563, -886, 560, 945, -334, -312, -341, -754, -185, 81, -299, -391, 16, -507, -368, -668, -301, -189, -7, -414, -126, -234, 378, 460, -344, -722, 468, 356, -189, 215, -675, -476, -350, -1085, -264, 245, -503, -9, 768, -482, -316, -308, -271, -1321, -360, -1583, -435, -46, -451, -21, 529, -36, 88, 28, 31, -237, -135, -941, 112, -387, -718, -301, 150, 186, -269, -201, 265, 212, -397, -330, 150, -877, -541, -592, 634, -586, -60, -8, -193, -69, 426, -324, -91, -857, -447, -1185, 478, -211, -461, -505, 647, -1115, 146, -11, -6, -309, -616, -235, 1168, -57, 205, -759, 475, -274, -504, -1311, 64, 132, 100, -198, -14, -1024, -114, 129, -246, -667, -253, -927, 333, -160, -200, -1128, 1143, 249, 58, 44, 29, -628, 575, -638, -66, -524, 422, -40, 340, 389, -144, 192, 504, -125, 675, -35, -162, -26, -727, 420, 288, 101, -791, -713, 150, 221, 244, -1639, 397, -602, -725, -453, 524, -666, -540, 67, 230, 150, 562, -281, -438, 109, -77, 175, 220, -4, -654, 579, -533, -440, -137, 571, 395, 39, -352, -1123, 365, -300, -585, -61, -950, -771, -704, 176, -111, 175, -172, -95, 1058, -11, -277, 727, -265, -23, -517, -681, 24, 1025, -667, -53, 106, -965, 153, 185, -317, 214, -20, 113, -312, -283, 826, 526, 760, -242, -556, -60, -27, -895, -160, -175, -377, -204, 594, 425, -213, -968, -93, -64, -418, 517, -480, 154, -31, -421, -491, -120, 716, -450, 259, 17, -460, -356, 454, -285, 0, -159, 472, 334, 432, 231, -780, -711, 28, -812, 399, 113, 403, 31, 54, -13, 28, -110, -457, -414, -141, 184, 246, -895, -98, 511, -5, 1175, 34, -234, 679, -757, 435, 67, 51, -1288, -311, 892, -428, 340, 850, -942, -211, 1044, -629, -649, 335, -8, 235, -453, -290, -268, 400, 676, -428, -731, 977, 318, 300, -207, 547, -467, -150, -165, -256, -491, -379, 324, -435, 88, -286, -14, 714, -338, -587, -49, -217, -223, 217, 159, -271, -325, -264, 165, 94, -365, -173, 114, 1154, -1, -871, 441, 213, -745, -319, 807, -59, 274, 329, -971, 521, 358, 111, -526, 892, -608, -634, -364, 247, 815, 527, -337, 520, -662, 13, 484, 141, 219, 43, -961, -196, 481, -141, -39, 736, -1686, 120, 1798, 1278, -60, -88, -259, -113, -225, -136, -1547, 794, -776, 168, -873, 542, -1020, 240, 842, 460, -296, -140, 30, 30, -481, -548, -296, 1182, -31, 432, 67, -213, 425, 110, -497, 869, 264, -256, 474, -286, 173, 612, 165, 290, 596, -495, -419, 646, 42, -213, 869, 141, 118, -173, 2236, 218, -378, -215, -513, 299, 306, -210, 1212, -39, 296, -648, 67, 438, 67, -73, 482, 199, -186, -273, -182, 442, -442, -425, -221, 215, 841, -1402, -124, 844, -116, -749, 315, 39, 0, 684, -606, -419, 693, -719, -116, -193, -263, 171, 179, -411, 1181, 356, 946, 838, 55, -161, 131, 566, -766, -168, 352, -91, -38, -106, 537, 546, -447, 614, 937, -235, -711, -100, 15, -149, -487, 453, 590, 283, -52, -170, -333, 400, 405, -635, 269, -934, -216, 481, 1435, 72, 35, -196, -967, 125, 512, -556, -289, -474, 334, 48, -972, -292, -42, 459, -773, 732, -1418, 127, 49, 84, -220, 138, -434, 303, 162, -882, -413, 1007, -176, -432, -937, 26, -185, 66, 540, 67, -25, 210, -851, 825, 616, -237, 219, 204, 685, 391, -752, 128, 688, 385, -664, -29, 1002, 14, -317, -395, 332, 432, -771, -97, -768, -29, 379, 274, -348, 351, -61, 33, 83, 104, 419, 520, 667, 53, -541, 1160, 571, 74, 104, 667, -284, -558, 1436, -139, 220, -586, -505, 1327, 1325, 140, 616, 512, 407, -475, 68, -421, -427, -6, 122, 342, -276, 62, 647, 107, 814, 461, 202, -152, -123, -1207, 424, 793, 425, -113, 574, -294, 865, 787, -1038, -142, 624, -195, 217, 827, -88, -881, -624, 498, 178, 427, 145, -254, 386, 244, 745, -97, 605, -215, -313, -8, 1551, -700, -148, 818, -490, -18, 663, 84, 71, -52, 469, -567, 734, 1040, -958, 530, -676, -277, -683, 650, -727, 50, 388, -941, 18, 786, 417, 242, -1011, -689, -477, 86, 548, -39, 1317, 499, 642, 44, 714, -302, -133, 647, 596, 905, -259, 153, 818, 1065, 724, -199, 1346, 435, -10, -516, 315, 332, -686, -183, 1182, 63, 714, 685, -91, 212, 677, -978, -1211, 630, -131, -794, 319, -477, 225, 201, 1120, -429, -624, 982, 102, 91, 52, -574, 1260, 579, 1556, -379, 264, -385, -239, -19, 36, 126, 418, 312, 425, -821, 53, 284, -1598, 265, -326, -332, 915, 705, 1035, -428, -476, 815, 35, 549, 275, -806, -18, 415, -535, -128, 173, -358, 1152, 6, -1177, -297, -27, 168, -338, 1461, 83, -268, -768, 628, 252, 323, -529, -64, 1378, -399, 136, -500, 843, 410, -1756, -301, 347, -375, -913, 1014, -1092, 275, 1417, -566, -407, 185, 1044, -117, 26, 784, -396, 607, -784, 664, -397, -277, 469, 1237, 191, -192, -894, 285, -20, -158, -1427, -699, -586, 1151, 185, 515, -398, -84, 1519, 27, 364, 66, -947, 196, 58, 499, -782, 1555, 31, 44, 651, -1110, 455, 172, -121, -293, 731, 469, 187, 636, 1020, 489, 755, 577, -394, 56, 180, -372, 285, -250, -432, 148, 444, 453, -737, -320, 208, 361, -1224, 698, 146, -746, 9, 882, 635, -388, 527, 52, -361, -213, -946, -600, 957, -182, 582, -175, 705, -432, 656, 128, -601, -363, -1044, 215, 32, -833, 479, 818, -463, 39, 53, -44, 521, -160, -518, 354, -418, -580, 265, 210, 1327, 100, 690, 203, 1811, -339, -753, 860, -517, -59, -758, 291, 1877, -111, -18, -283, 235, 320, 1192, -600, -900, -406, -483, 1652, 610, -575, -475, 1174, -279, -47, 1251, 204, -324, -472, -197, -277, -1378, -109, 321, 1014, 1182, -657, -122, 289, -265, 50, 624, 378, -160, 184, 1008, -487, -962, 361, -138, 725, 58, 125, -190, -376, 1019, 141, 806, 187, -795, 44, 427, 556, -30, 641, 512, 536, 453, -430, 311, 989, -248, -243, -136, 353, -118, -983, 826, 807, 884, -167, -1278, 617, -48, 364, -1021, 677, 659, -269, 511, 951, -91, -381, 729, -420, -148, 490, -15, -66, -363, 398, -838, 225, 217, -612, -343, -269, 1116, -34, 345, 1, 67, 753, -733, 285, 1237, -67, 761, 61, -213, 479, -521, 342, 1349, 895, 700, 800, 40, -305, 320, -476, -110, 106, 399, 248, 1252, -240, 777, 634, -743, -178, 195, 113, 261, 952, -634], "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.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}