# Stored data for newspace 546.8.a, downloaded from the LMFDB on 20 April 2024.
{"label": "546.8.a", "level": 546, "weight": 8, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 896, "dim": 84, "eis_dim": 16, "eis_new_dim": 0, "cusp_dim": 776, "mf_dim": 792, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 5, "num_forms": 19, "Nk2": 34944, "plus_dim": 48, "AL_dims": [[[[2, -1], [3, -1], [7, -1], [13, -1]], 7, 1], [[[2, 1], [3, 1], [7, -1], [13, -1]], 6, 1], [[[2, 1], [3, -1], [7, 1], [13, 1]], 5, 1], [[[2, 1], [3, 1], [7, 1], [13, 1]], 6, 1], [[[2, -1], [3, 1], [7, -1], [13, 1]], 6, 1], [[[2, -1], [3, 1], [7, -1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [13, -1]], 5, 1], [[[2, -1], [3, -1], [7, 1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, 1], [13, -1]], 5, 1], [[[2, 1], [3, -1], [7, -1], [13, 1]], 6, 1], [[[2, 1], [3, 1], [7, -1], [13, 1]], 4, 1], [[[2, -1], [3, -1], [7, -1], [13, 1]], 4, 1], [[[2, -1], [3, 1], [7, 1], [13, -1]], 6, 1], [[[2, -1], [3, -1], [7, 1], [13, 1]], 6, 2], [[[2, 1], [3, 1], [7, 1], [13, -1]], 5, 1], [[[2, -1], [3, 1], [7, 1], [13, 1]], 5, 1]], "analytic_conductor": 170.56222391433047, "level_radical": 546, "mf_new_dim": 84, "char_values": [546, 1, [365, 157, 379], [1, 1, 1]], "hecke_orbit_dims": [1, 1, 1, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7], "trace_display": [0, 0, 0, 0], "traces": [84, 0, 0, 5376, 0, 0, 0, 0, 61236, 0, 0, 0, 0, 0, 0, 344064, 52208, 0, -90704, 0, 37044, 5824, -102072, 0, 1110900, 0, 0, 0, -91992, -157248, 386864, 0, -163728, 0, -117992, 3919104, 777264, 371072, 0, 0, 239488, 0, -626440, 0, 0, 846528, 2910272, 0, 9882516, -1763072, 162864, 0, -2494600, 0, -921024, 0, 4923504, 3464128, 6413152, 0, -4173936, -7740928, 0, 22020096, 3567928, -4358016, -8343144, 3341312, 1578096, 6717312, 1505008, 0, 21211344, -7584512, -7525440, -5805056, 0, 1898208, -13005104, 0, 44641044, 2168768, 18519072, 2370816, 5307248, 18457088, 2312280, 372736, -8864928, 0, 3014284, -6532608, -25970112, -14377536, 26140928, 0, 48598944, 0, 0, 71097600, -1776208, 2232576, -52658776, 0, 0, 37217600, 3243384, 0, 49371760, 83748608, 60048432, 0, -25218296, -7307712, -123725344, -5887488, 0, -44831488, -12918752, -10063872, 124389020, -45372928, 51262200, 24759296, -132834720, 0, 140463344, 0, -70969392, 17576000, -38542624, -10478592, -32472496, -99153280, 0, 0, -145593056, 24378624, -4886864, -7551488, 25270704, -85458304, -35468368, 250822656, 4578528, 114595200, 0, 49744896, -66711728, -17908992, -20467872, 23748608, 38059632, 58436224, -165949456, 0, 104793824, 84335744, -34646616, 0, 0, 0, 93275352, 15327232, 145358928, -99444480, 211153760, 0, 405451956, -389376, -66123216, -40092160, 41876960, 59654016, 0, 0, -62093304, 282079040, -47434216, 0, 127313280, 0, 500076720, 54177792, 1259101984, 1931904, 761681312, 186257408, 27005076, -100111744, 644232392, 0, 548395240, 271639168, 0, 632481024, -61573936, 4245696, 21956552, -112836608, 191392848, 213911680, -276276896, 10423296, 445654048, 657700864, -74410488, 0, -290165424, 74088000, 611399912, -159654400, -330457536, 734322048, 454033056, 0, -45457104, -227982976, 340684704, -58945536, -383930144, 66882240, 368040704, 0, 809846100, -91112576, 578832864, 315104256, 573708960, 1076916352, 159881904, 221704192, -365889304, 0, -165207664, 410441728, 256190688, -119572544, 718004576, 0, -1498583280, -718662656, 0, -267131904, 0, -231266880, 53747408, -495419392, 666028872, 1053406848, 1210435536, 0, 2669779184, 1002201984, -379683936, 1409286144, -707857168, 39080448, -308705488, 228347392, -67062168, -415904000, 820022056, -278913024, 3985226208, 345392768, 1277925336, -533961216, 827806288, -114633792, -1541932832, 213843968, 81385668, -647561216, 709607072, 100998144, 2707386872, 163495936, 282023856, 429907968, 1576421904, 153772992, 1227359872, 96320512, 32927040, 0, 422595208, 0, 1685243764, -2000903424, 1911561984, 1357526016, -2570376448, 0, -1989479360, -485408768, -119357712, 20436160, 614140592, -481628160, 568496432, 1282549632, -730600344, -371523584, 1690630352, 0, -1294400224, 0, -67803264, 2613353216, 4748096624, 121485312, -43789688, 447004928, -86016168, -832326656, 1663545056, 719805312, 192101216, 0, -1339355736, -273807296, -150299424, 2857026816, -998105888, -1893100672, -737768304, 138801152, -1248045288, -1180196352, 1593512920, 1185220608, 566625456, 3705657536, 3710724208, 151732224, -108699248, 0, -707672592, 339663872, 3112097312, 270511488, 0, 1181253632, -1348635744, -306652928, -3626080936, 147985920, -50620384, 604997120, 0, 23855104, -3321615744, 364215744, -114263600, -567355392, 363994344, 3102854656, -530149968, 0, 3355376396, 5978758144, 1389730176, 192914176, 1795977936, 3046286016, 5380535192, -418086912, 174586752, -2570844416, 477906016, -1662087168, -5116824904, -3118514048, -755083296, -920162304, -2657631808, 0, 1950282696, 1673019392, 2269072224, -2691515328, -2841806048, 0, -1237714128, 7950128256, -456674760, 3110332416, 4533101944, 0, -1426860288, 0, -1889960040, -5057035200, 14481527168, 0, 2937822944, 1697913856, -1776037536, 4550246400, 1859303936, -203373504, -3155489584, -113677312, 0, 14839552, -12816730528, 142884864, -1209591392, 1375239040, -6638746176, -3370161664, 769848408, 617118912, 4020936736, 0, -1861967088, 1406621184, 11597005856, 0, -3039506432, 3646512128, 2121588288, 2381926400, 8950343552, -1677386880, -394606408, 207576576, 1263257424, 7444592256, -4150856272, 0, 17261586040, -2045662976, 2038592448, 3159792640, 2300381312, -36319104, 10557875096, 5359910912, 7204354164, 1341259712, -1582606040, 3843099648, -272841456, -6423635072, 2808413424, 0, -3087127936, -1285279488, -1883224768, -1613970944, 3118102560, -2775056000, 0, -467693568, 10359331288, -841127680, 118727856, -7918422016, -13745283072, -2903064192, -15725066112, -376799232, 4315745232, 1030354944, -13788447552, 0, -3250479288, 7423599360, -1739253168, -2869215232, 17625059104, 1636523136, 1447747856, -826800128, -1818563400, -5037848832, -17057949824, -644087808, 423423416, 8329361664, 901428696, 7960897280, -23484791904, 0, -14454702512, -2903867392, -9078669648, 0, 4101625848, 3280780800, -18011341872, 0, -671426496, 1584594944, 3787082208, -3972922560, -6315998984, -8501422080, 4433869584, -5654151680, -11552876720, 0, -2824840144, -2909573248, 0, 8989654016, -17133245248, -4699036800, -345115624, 0, 3589234416, 7317554560, 22307993744, -4542041088, 4054591904, 0, 3150976680, 1124864000, -19458184960, 2525349312, -4777110048, -2466727936, -2968002324, 1365056704, -2767246656, -670629888, -30583211428, -7672130432, 4675187808, -2078239744, -735362264, 6900873408, -4277145248, -6345809920, 5194167336, 16134391936, 0, 0, -1666583520, -1045871232, -3723143616, 0, -7045592384, 1953256032, 2022037536, -9317955584, -3042799344, 13937254528, -23092784320, 1560231936, 4620544768, 4521949184, -7942534056, -312759296, 1490951168, -5643136512, 6499886016, -483295232, 4931412624, 4476646336, -36627944784, 1617325056, 20203733376, -15596430080, 0, -5469331456, -1922732888, 7921794816, -1002208528, -2269975552, 6521927328, 2227008448, -27356602216, 16052649984, -11003574192, -8024652032, 9747749952, 293025792, 12663754824, -7431089472, -27325708448, 7334092800, 2601019512, -26129712768, -21786342400, 0, 8180541776, -16110256512, -1752442992, 3183673344, 15907972992, -3176993664, -2374901816, -4269550592, -14332297248, -5732869376, 9449541720, -1146175488, -68006766232, -3197352704, -6082151976, -1309943808, -71992352768, -6669896832, -20453886760, 1519910912, -4355929872, 5695502656, -9087090792, 2435816448, -8662830080, 42685334528, 16946072208, 3739918336, -21448214928, 15822091584, 16772621440, -10620765184, 1150431984, -35932212736, -8035713448, 0, -23413648620, -30914879232, -32017045608, 6706804736, -16136333056, 4896920448, 34843049392, 5397487616, -13322382336, 24999989824, -72612667680, -2217383424, 0, -8451914240, 1097150832, 0, -8629365032, -16295658624, 10918276256, 0, -17192922192, -26234054976, -14186998352, 0, 13133042672, 0, -2664056304, 5969622528, 32228930456, 12109386816, -61886622560, 980942848, 15463069776, -2198185472, 26975956056, 9302971392, -8009927392, -47377053568, 13767702624, -6364446720, 13860075712, -5529109248, -34227616872, 13513840640, 17638245504, -38225571840, 676616896, 0, -41247352560, -28861917184, -5486045760, 25948925184, -28916333744, 5953540608, -13070810760, -24920064, -33528601512, -37474014208, -15844898352, -4231885824, -22271585056, 0, -6849591552, -2565898240, -9214288304, 38524500288, 31928598176, 2680125440, 0, 2824876544, -82630350144, 3817857024, -75684563888, 66645607168, -9949574736, 0, -23888295416, 1383793632, 27788876160, 0, -48010953744, 40902524480, -8359414896, -3973971456, -20940823792, 64412150016, -9480720816, 18053058560, -30415358720, 4704291648, 25572148472, -3035789824, -32651316864, -30801577216, -109970879984, 0, 9397044776, -61805411072, -65203932528, 8148049920, 28279945528, -35019592704, -8437388840, 0, 32543321076, -12188493824, 145794148880, 32004910080, -36334352800, -30541698560, 0, 3467378688, 171517149680, 1581031872, 4426029560, 80582526976, 14352350688, 11186278208, -51741001344, 123641856, -105240041856, 15083069568, 13500403488, 48747603968, -12760401248, -68399779968, 23881243104, 11920474112, -21590302680, -8006078912, 26391913936, 1728324864, -94810510040, -12980622720, -38767212576, -6407151616, -75381619072, -49211974656, -23649630480, 41230873088, 3868983792, -33908766144, -9838183576, 0, 62413962704, -35089832960, 89332978248, 35097295360, -48031118016, 13455217152, -24969507888, 17384906752, -9241366680, -3078441152, 108050625264, 0, 69796409840, 33877405696, 1685652120, 40478785536, -106452199344, -4144459392, -106563086880, -3940731904, -9542427264, 19925475456, 30296141792, 271724544, 7489906944, 33553382912, 57167136720, 1405219328, -94818673056, 19248655104, 118420720832, -7221542912, -6462532512, -20713232576, -48688614352, 12249142272, -32574150224, -5134160512, -5397502824, 13690347520, 12430845656, 0, -92952395504, -17681721344, 62747662176, -1767470208, 269592065232, 667090944, 103678791680, 48598999296, 2197413036, 28521859072, -27757620672, 5535489024, 68073282832, 42092855296, 45626032944, 26645754688, -16153639440, -4762271232, 13818998640, -125927991680, 5533563168, 0, 6142218992, 3696046848, -23367185544, -18570587136, -18932211648, -114621140992, 25002340032, 4741632000, -59231074444, -34981874688, -25613583696, 39129594368, 0, -10481223744, -7337434048, -10217881600, 8757432288, -17701271552, -44904272384, -21149282304, -104831021280, -52448113536, 19056736512, 46996611072, 162595348960, 10106059392, 82049730496, 29058115584, -9148534416, 39329124608, 92603883792, 0, 150164634656, 143684570368, -57474212256, -2909254656, 45510710272, -27351069120, -5526193192, -14590910464, 35428630176, 51147120512, 67679766672, 21803821056, -22113847984, -112850870528, -155474721216, -3772514304, -25093627536, 0, 11417623288, -24571529216, -96091742880, 108993969792, -17410792768, 4280463360, -1868570704, 15177283968, 0, 23554605056, 43421709712, -49816194048, 87030675168, 0, 19096921584, 30233972992, -66800588064, 51830150400, 101189768528, 105823983104, 10660818672, -5831204864, 337126673968, -1057128192, -118995255408, 37045303296, -1294855632, 12057136000, 145459925704, 20166672384, 126920576992, -39071765888, 140122547136, 36717373440, 56940047024, 1627547904, -70763218528, 68922646528, -9841306032, -30641062784, 2373920016, 10232441856, 145123198016, 16613699200, -38388247704, 14189068288, -13259271968, -17244099072, -10671234896, -23416915456, 24039415440, -94521742080, 153061065248, 0, -24260039768, -16658143488, 32355195984, -10573290496, 221775169952, 80202270528, 87551721776, 26268270592, 0, -105214954944, -10540859600, 16396204032, 34769985640, 58535075328, 14646990240, -7652642816, -124783298504, 27131630400, 8967404384, 45952292864, -39175262496, 1165425344, 11846001664, 0, 97142219236, -31173918464, 2364426936, -95909329920, 38532841504, 22614621120, 185865060944, -45994409984, -82398515328, -64794898944, 87850106896, 0, -54386744048, 22846173312, 0, -17096441856, 189968000032, -41089429440, 14390594032, 0, 35992013040, 5137594752, 413972617088, -14801080320, 132508657200, -35883396352, 12434114952, 3439834112, 142051901088, 61052735232, 85564360992, -31706841088, -91974169872, 19331853184, 190201814192, 42625847808, 278949967440, -58226371712, 43775306928, 67418038272, 0, -65890134720, -44922838656, 77467874304, 76263140736, -92834625664, 38540564064, 0, -349862140920, 139825777920, 35912871936, 170865867776, -38980672592, 0, 8044442112, 64140926976, -18384137784, -7394414720, 73259573408, -24299771904, 123102442400, -55625402112, -231765898752, 90194313216, 130525333760, -5327322048, -48642142432, -45302858752, 4358189556, -124627298112, -26770871784, 2501148672, 175088370840, 51632808704, -90195775776, -19757151232, 96817834000, -113488128, 122950951768, 14614233088, -22052916360, 128178610432, 56021021056, -4291978752, 252380874512, -45723628544, -36167783904, -26617856000, 127069521424, 10756392192, -114905275768, 52481411584, 0, -80827299328, -226335621312, -17850433536, 60685988440, 107887035136, 27153840168, 255054477312, 106439801840, -32682154752, 15389678024, 22105137152, -57303691920, 7784199488, -27374426688, 81787221504, 55530047600, -352429797760, -9417770208, -34173517824, -253266789312, 78400351872, -120717189952, 52979602432, 165698892864, 685187776, -68189659928, -7336562688, -56453262224, -253938342272, 185631169824, -98683701248, -28605234112, 60380679744, 107394593120, 13686013952, 90679595580, -118639769600, 119818940592, 5208682752, 26361967640, -193932469504, 135065479104, -41443917824, 231301320576, -33076864512, 54654363624, 45414852608, -52124352768, -145474832000, -161701640512, 6463881216, 43728138896, -47489464064, 37370143800, 173272759808, -372341105712, -88252350336, 20102873632, 10463739904, -97814089296, -51902362688, 51808814160, 18049526784, -298160107688, 2557659520, 256877170128, 27514109952, -150052870704, 41267330496, 59374201728, 100891001856, -96836510880, -186573527808, -12008668728, 9841471488, 52079723896, -103233431040, 12537663840, 78551031808, 291072932384, 0, 367105481792, 6164512768, 137419260912, 16208499456, -475270077152, 2107330560, 34394846360, 236066024192, 102397777776, 0, -85803085968, -210823444224, 95502827568, 27046093312, 126864766080, 264495749056, -12670400896, 0, -172330607976, 22734636416, -36254073744, 107855600896, -69808761048, 77369368320, -112708607264, -128057819136, -51736686768, 35499128000, 6782546880, 122339966976, 272615172768, 9923014656, 182434959288, 86881665024, -73146486952, 12812904000, 63412154128, -164504092672, -117184931712, -132770410624, 215279725952, 0, -231405735296, -332245843456, -28097572896, -127326679040, 217669733056, -129373573248, 0, -31066161152, 1245662064, 528458726976, 653291171272, -7638893568, 34957351744, -115255200256, -80149866336, 1307914240, 70578919488, 239634061632, 33703411248, 39304997888, -23672449584, 41807524288, 497996066560, -30824202240, 372640372296, 246744212480, 224304297552, 36383771648, -205787912000, -72282741120, 52751045312, 82083176448, -35395884576, -107188718976, 21497813120, -46758422016, -117616709704, -547847402496, 0, -23777509376, 206748346976, 0, -182949413296, 108200342528, -68876527392, 103821853824, -11766360944, 0, 130696274100, -78250091776, 19788964848, -82841614336, 398260886528, 15776287488, 96772469096, 0, -106137337824, -289532601856, -157459763344, -4339408896, -123078329248, -219855735680, -17848984608, 167254605824, -697847329216, 17772016896, -333786604480, 303878183936, -323593056, 18095626304, -379261964160, 7775059968, -158469568536, 11259108096, -3562523856, -2802540032, 115320408672, 64510957440, -218846436032, 28608315392, 189051420312, -109011598848, -380549819712, -5505034752, -13234253448, -235660686848, -148580450064, -53268905984, -324504606800, -28709265024, 135191949032, 106466883584, 18422343216, 412209743232, -568815820672, 46067539968, -629101651664, 0, -102000341448, 12294477824, -188670056352, -62299103616, 174787307632, 0, 82008081288, -221628409344, 86245993448, -85718767104, 453522241536, 992097152, -25856440272, -17523666944, 316660636784, 364004095104, -292227513728, -9619163136, 37509133536, -213417003392, -227373284096, 182849716224, 295266742848, -495715664128, -333526842864, -63878776832, -563622593216, 35314489728, 332241026272, -121158443008, 3337746912, 100131994944, -183663777344, -47217171456, -143206358064, 230068132608, -442233916704, 8883273728, 44681144768, 83539900800, -677287606144, -79874898432, 25260930000, -275265192832, -430549150400, -75532566528, 182238359488, -127413882624, 0, 101984826880, -155884806792, 0, 343621515840, 75854118912, -9840610296, 37433230912, -613847877312, 36264029184, -1556271212416, -497332874496, 40501478736, 237162082304, 134026574976, -191709690624, 100819626960, 237486349312, -48632849712, -341199436416, 565442506208, 9710862336, 478519581456, 40930006784, 268966465056, -6956751872, 87931262848, -13055655168, -159284189456, 0, -309135298608, -263586116480, 269751063520, -45291045888, -102161251040, 120359786624, -14921078688, 21738487808, 221247986976, -137013985728, -1169243731344, 199174227968, 20346417000, -441370132672, 481413071312, 17312735232, 284690586404, -666446219008, 137466565344, 0, -940720233232, -1053203904, -478893907008, 75600232448, 27745471728, 19324741696, 69648581184, -86312687616, -469565849368, 338901163264, -424572600672, -19625787392, 184502128384, 42600007296, -504308651032, -232069179904, 20087753760, -195153730944, 118390916592, 9471098880, 271106275272, -596675924224, -120977153424, -3239704576, 40224158720, -181598250240, -23655309648, 38719815680, 587534830344, -148338192960, 592997012976, 0, -1310948549024, -644762897408, 88646588352, 1526726656, -40303490000, -237392875008, 688523749808, -212583407616, 76394697696, -44204149696, -624655222368, 23309807616, 76974882920, -229168463616, -684024754752, -7312870400, -10822766808, 61480757376, -596764951536, -36310745088, 280204183008, -128606665856, -1308711569104, 23295638016, 865210475352, -192915582080, -25257383064, 198582697984, -466370378064, 172774954368, -216319497184, -33929597952, -470897464896, 394075776640, -2331222823032, 0, 66633361824, -2631166720, -132736939920, 214744089344, 667529765120, 343132400448, 110321097576, 382640521216, 0, -935104669376, 527412171984, 88942731264, -384508293832, -253322780416, -80431455168, 12346507264, -149538832048, 0, 248937969504, 114942587904, 221823958752, 328549888, 121319187808, 194962305024, 1138044970416, -19383054336, 67997731608, 344354252288, 142916713056, -18500069952, -768811149616, -26757562368, -684620456616, -298680403840, 347910201600, 11173552128, 223423691232, -274511032064, -830408805360, -164534042624, -324163771720, 0, -220900288176, 30585985024, 105966658512, -171093228160, 826256661152, -106373578752, -1489004921008, -524599450112, 111476212848, -327476793856, 952360031520, -72495025920, 51080566368, -199584899072, -548496517680, -101726994880, -199557384344, -48325330944, -655833195584, -364962791552, 153931091040, -58890387456, -242623300080, 163159705728, 481593075448, -170088435712, 83063592720, -441983335168, -858408051456, 0, -336273946528, 282936717312, -453090214080, 124818092544, 231430236752, -57094305408, 45514162736, 107073241088, 295574475924, 850831695808, 197335107536, 145220622336, 452974330544, 90848878848, -19369057392, -172256980992, 723756658688, -283855104, 19546535920, -181875587072, 164271247560, 156304492864, 737457849920, 0, -541460426000, -138380770176, -48203824464, -79213704192, 1383796790448, 268709031936, 588002608360, 508808208384, -605354401152, -505471484416, 0, -29227184640, -48447760784, -76462872320, -280821952512, 199061274624, -273658581632, -9704342592, -238859526480, 290118524416, 30528303840, 375667798528, 737012574768, 0, 258454122080, -355346019072, 292456877616, -91319058432, 644737576992, 43487777664, 199295413104, 0, 210875919696, -628515972544, 1301859040960, -120957442560, -141068842720, -118211228544, 0, -323650252800, -162356153456, -585211101696, -152267971848, 926817738752, 190650457728, 54692310400, -1100486521912, 0, -71653294640, 44484434176, -215495153568, 188020668416, -184230445000, 202831216128, -1172646716544, 108666486784, -45266018616, 242209415424, -1594053799664, -113666402304, -157615937008, 437988360320, -148074935112, 291215769600, 188902486112, 205635620160, -489691712776, 118995451904, 483644524320, 137735847168, -800813450320, -13015904256, 280867745848, 294003267712, -34579543464, -201951333376, -433806871664, 397329912576, -510264804224, -7275347968, -19262435472, 182636598144, 1317670482048, 0, 271874783688, 156440717952, 91648962864, 949731328, 306739339920, -285442742016, -1175285032112, -820270753792, 92811381120, 758709034240, -630790961472, 9144631296, 189661664688, -681773818496, 516944850120, -77413849088, 1035894518528, 0, 1289554442480, 88015298560, -436131748224, 173548116672, -1890814417184, -424879755264, 754817028448, -1398019928064, 364555928880, -215690346496, 995970152032, 193771723392, -478315197360, 49270298112, -395404971984, 995203533760, 875785756272, 39495610368, 255627350688, -815214741504, 226414261584, 257339951104, -696144875824, -664830008064, 264428704848, 0, 917885346336, 0, -420186357192, -119165893632, 185081305600, -282810910464, -1243787434560, 90023755776, -169382208240, 1408358016, 277730275032, 742208374784, -86766138576, 651871944640, 703644692928, 0, -90065002660, 488563852032, 555265676448, -194528411648, -1945119534176, 203873901696, -614750154872, 233376776192, 712367539704, 0, 1234428758976, 135781650432, 255755855888, 221822237952, -768114937152, 152443289600, 267372105056, 305874904320, 1349133006464, 572821987328, 19686700404, -480232628288, 359869021824, -107352760320, 1131339589760, -2244030129664, 399604346784, -25254810112, 995723051616, -72981461376, 130212944752, 13284900864, 404001742608, 145420119552, -13881640808, 80848475136, 949476056256, -618096660224, 469645413768, 476453904384, 1236822459040, -116283190464, -1499616502072, -265654801408, 1851973337808, -558219267968, 1296737932800, 0, 124049843736, -42224725888, -306542407392, 1104741506560, 1789001184872, 1119905298432, -767003231392, -130922430464, 399780129960, -571806428288, -504125808048, 130469916672, -155274978528, -2639212160, -152872734672, 202226728960, -1454385569072, 198024953472, 940736137848, 147224403968, -2245530164544, 385143669120, 1925755878976, -2324422656, 1617507722736, 557504742016, 0, 675704006144, 15447507152, 590676311232, -184971352320, 343034298368, 593017150104, 1089926303872, -350079044448, 461078666496, 489503058736, -340323577600, 115465129344, 85840621568, 1085983958672, 458747988480, 1200145066344, -101286786560, -44887399344, -1759662365568, 1737418702672, 245958377472, 1142461990968, 553152071808, -944826911640, -17461853184, 904696689312, 3095112384, -393971528816, -411112644608, -335241532080, 1545448312576, -2100578328064, 179738459136, 711902487392, -434831812480, 16006326408, 0, 609500592384, 145672278336, -107557826112, -197576187904, -350250613056, 146125107840, 460449077648, -82257887232, 552834646808, 457152469504, 1373317510608, -120526385152, 1579723525920, -96336922752, -298294493744, -103294140416, 139525386192, 691036342912, -1590235679040, 199558563840, 91444332336, -673459650560, 617509914336, -177603584000, -2538902593040, 155941614720, 1317697603360, 0, -131365585296, 45319660480, -1387082302640, -29932388352, -406648783504, 1823783408128, -201405857184, 662997202432, -2863736316992, -1130912395776, -894009841872, -53832171520, -346925510568, -590695787136, -416816792752, 7598582784, 808760633824, 2010938089728, 174268995696, -506779009024, 55475667520, 137375474688, -64336256656, -879698116608, 324881800992, -136395103104, -61919792688, -185796108288, -1108337060180, 2452712531840, -12176395632, -1006404231168, 2118849716992, 479463929856, 50905848336, -24115150848, 201711970224, 128098181056, 0, 276207694848, -3279352489152, 43656249728, -54245245752, 65942716416, -1382088756512, -1037488445568, -441738606368, -882460643328, -172531837296, 694298847872, -1977270180408, 0, -2011217236048, -2635926851584, 310774207680, -208030674432, -1340183039984, -1195206205824, 538447911392, 475110359040, -211530594096, 1986668176512, 427489329568, -111312202752, 429857356864, 1348324866944, -112812743520, -183629774848, -277080669648, 54010152000, 695176021504, 1128003782656, 39057618528, 340203652800, 642007044912, 104737480704, 759597339872, -275405515008, 445710535848, 92655862784, 2046309453608, 1319346275328, -2373134883680, -52915208192, -827464791888, 1291049481856, -4612981703488, -116388057600, -702424238400, 2094585037952, 0, -322422325248, 3070347570736, 1478988111744, -318736760136, -1091708788736, -240903543744, -1208961486208, 1511543223936, -41221619712, -61455812016, 674205458432, 192671570160, 27099098624, 295159836272, 535320772992, -89324935392, 533079146496, -571073122368, 98180613888, 221006604320, 57691436544, 2401161865512, 484155923456, 330990097824, 509497425920, 134106989120, -1677466368, -16842567728, -1503026681856, 353182668336, 278222306304, -3052564206544, 0, 1753556691232, 339612850304, -236397718512, -925100960768, -930028018048, 345396029472, 1165542825352, -185847513088, -33138228816, 93768307840, 3057001892480, -581034857472, 540893688752, -4396938861312, 1704777209928, 0, 2809336662400, -166199589504, 254656203360, 262504054272, -2250055294560, 1020418963136, 800047900624, 209969971200, 4381665855536, 3534574127104, 248359149216, -1152725879808, -1494590511328, -28680946560, 1834196685952, 0, 99665793576, 2183972181760, -1418626758912, -42971295744, 126710631936, 787245493120, -395001499104, 101414076416, -1572016693168, 739849000896, -3060143906464, 242373261312, -279885074976, -781843931584, 3148455145248, -254267043840, 698560709576, -86154887936, 334365515568, -404223934976, -2479982988560, 48757152960, -725110064944, -544091013120, -1019212126128, 128384384128, -356581123048, 283767653376, -1414020884672, 231725440512, 268301673216, -361865707520, 28175523712, 1666786101120, -1231461348104, -739384110080, -781122346992, 761049120256, 174272015840, 0, -4039828846104, 525621291008, 250602523488, -180789769216, 4565363070496, 170865033984, 1364532138144, -186212687872, 590377806900, -552407770496, 218860017448, 0, 911426986448, 299697879936, -493300867608, 575337857024, 3057732049568, -66421067904, -2738226156512, -1096527695872, 351918074088, 894825550272, 2280819952976, -300738355200, 459772236144, -1542532660736, 421969157856, -22087399936, -2286567705552, 103467628800, 1286527428656, 0, -1293308741952, 1726456558144, -317506634760, 229711002624, -452777999496, -259970693632, 232284716496, 468323491840, 3176847293312, 0, 1198871821840, 1427711599616, 418233831840, 2025237559744, 792915261264, -290690629632, 407563252208, 2074876162944, 386562940920, 259493881856, 2633511832928, 785072020608, 239662732224, 0, 580373677152, 1182169855360, -2793560240608, 201662507520, 3528037489248, -1509100025856, 116553908016, 71991296000, -45500484712, 895846967424, 4483087560088, -1245323837440, -460416690432, -326605631744, 1140071988192, 161622355968, 1508562009720, 3597393839232, -3838632081120, -305735043072, -469764104264, -81614637504, 3133865037280, -157870587904, -266733302616, 722788363136, 701696510016, -189952148736, 698758759856, 896978205184, 1514488378536, 87363629056, 2767871289392, 0, -73700039560, -177103785984, -114138866448, 1726879194752, 2694479406272, -42920312832, -1813783336016, 993386743552, -120436387056, -1957325531392, 1489270551232, -2453401058112, -817345920248, -491016347648, 314171868024, 860865690304, 4237562063728, 299212019712, -1714082490768, 1257982795008, -731486479248, -133007343616, 1602270711000, 1467426036096, -3776864744000, -47063184896, 186763011552, 1931921242880, 2827268073952, 441655898112, 1141132925544, 3099620264704, 1737295407072, -273737295872, 4200768126688, -87168384576, -8082649308336, -406131834880, 0, 567248575808, -967909070496, 332426709504, 329586482848, -1018200271360, 523425335904, 1032601083904, 1624348957344, -694115243136, 1665059346592, 0, 804023534016, 401989132480, -2885245364928, 0, -5154905150376, -4876916341632, -400580480160, -106661345280, -1353323740544, 59265879552, 1246719154800, -66935758848, -1092467211120, -585868586240, -821644517720, -238281191424, 6257988765888, 1378934676608, 1639973289960, 0, -2757245348368, -523905076224, -2684382703880, -450917912576, -749907254736, 398172318976, 1429127967216, 125008386048, 488282062616, -2000926138496, 0, 129410402304, -2308167487008, -2053301412096, -815463763968, -596349157376, 2658809771784, -4391958354752, 2917904904560, -194739158016, 0, 523837283200, -3814171713216, 891984289792, -121465984960, -235085706432, 6491866638384, -1477938196480, 0, 716440352128, -1201489138840, 99854843904, -2156528374524, -1141091006848, 691496978832, 295714865152, 4127885081848, -168593555520, 473603916384, 289404747776, -2109288226320, -9291543168, -372907234672, -508322179584, 3550448682544, 1629022895360, 39181860432, -20016594944, -899453680736, 65355099264, -2134443845560, 95420874752, 2008424566944, -1554435838848, -968449458912, -361160736768, -1229323593400, 1426003389312, -3295476672336, 415992705024, 3845052499016, 1534825193472, -2924803051592, -30930894848, 485535047688, -902529024384, -2489378120160, 315610407936, -851406942496, 1318821980800, 95830605360, 286505365504, -114919832352, 767933592192, 36567387736, -2344188466176, -305204247648, 99593172672, -2572954156480, 103508803584, -4582579035824, 1573672916736, 882407505744, 1293038936064, -778361475920, 277772369472, -3445579199488, -998171525120, 228090869352, -516343790976, 603031183136, 0, -2236169312944, -1048656117632, -1208870377056, -350037213184, -412485590272, -2292010976448, -30194082828, -123054904832, 1946269025136, 2912498565632, 38379889024, 506994868224, 1072720201808, -583803693312, -2257485502104, -64141345792, -143526157888, 730605246336, -1804367253736, -145278435328, 311027869656, 821273947648, 4830030988224, 417403348992, -4455881628096, 7874660946944, -276789589344, 142528540672, 452416572680, -2842177339584, 5533249472208, -1750822541824, -625836330288, -2042729898688, 342390590528, 1027369598976, 2965631279288, -1270911334400, 1762373812320, -704228748288, 5283460057312, 243855614016, 3431546157680, -513577730048, -516027875472, 1333580687296, -2647413294800, 623855996928, 1122096321864, -4374050790912, 635372120736, 18753650688, 362494755424, 28489646592, 2422210616624, 810480308736, -4316989418784, -3209055326272, 852360247440, -475589726208, -6855402403648, -4163719148800, -225046300752, -1748845340672, -12539813297904, 1041004946304, -14206063872, 469381939200, 1816907479200, 1583913895424, 2268324536408, 166465248768, 750894589568, -1434377433600, -5320575103104, -1672301617152, 131456363472, -1591332269184, -1307527630280, -1394325913600, -48888320472, -197847440576, 740076864096, 0, -1858358796424, 2616338071040, -677728620000, 523554673664, -4126216665568, -303194016000, -3568858572384, -1031056416768, -1198474135056, -1142545303424, -6212996466704, -112156351488, -486351021600, 0, 597796078824, 203755094016, 4116114179424, -1736944031232, 3856200432512, 1018110271488, 719394109560, 961567724928, -5448739113088, -203327594496, 3673446766472, 9859114748416, -205205775840, -151993716224, -6750837550864, 2790261107136, 542927096088, -273251237888, 2905229905632, 2386663167232, 2632664823264, -917267023872, -2534797290648, -994054946304, 1157545010232, -366903640064, 331743787312, 251791327872, -2234288814168, 604770670080, -1775009879712, -2701322858368, 1412572396480, -73355231232, 1162668124884, 4956700702208, 931607569944, -4352433038848, -26280935824, -98194972032, -5948775944976, -204630573056, 4219450965576, -2476610871040, -8920823440608, -389257726464, -12850111137184, 3851684852992, -937177637760, -83836403712, -2241517731320, 736671746304, -2125220993088, -4607510577152, 603470783952, -1063884867136, -324441130128, -426873397248, 545004871296, -1790327254656, -1529281209600, -1309048752640, -1297652241984, -83568034368, 102789123216, 97274298368, 189794526624, -400975623104, -10089018132704, -278779511808, 5975856238544, 1769316040704, -1124069034528, 364512169984, -1244904463312, 1391006601216, -1161425437256, -581573810688, -2865026294784, 2875400373376, 1451704993880, 155892252672, -84538110400, -207423657728, -2977792949520, -554421125120, -2433176941536, -4228942794624, -9368734565216, 2731861409792, 59330151972, -5901079305024, 8088803386496, 1084548621312, -1896482990128, -3101555778560, 4411487796192, 239354773504, -1072811040, -472072126464, 3256757028960, -1372685755392, 2644534545408, 309747331712, -190594373704, 1012613861376, 3753255495704, -877276121856, 517303555488, 1073447772160, 1104351361888, 486915819264, 2778174524464, -679728971776, -2607428299824, -5962127424064, -151601401328, 73627646976, 3141818314880, -5497193589632, -1880500663008, -2299661615104, -11234982403680, 845422085376, -3990123203440, -514285660672, 1973685029688, 1651013195136, 1609646306896, 0, 2769349937392, -2821366249216, 19160786736, -1498473511680, 6443074510640, 119188537344, 195699255168, -1978552270848, -3970090188720, -1379006310080, -607352158272, -2049090918912, 852035724176, -1516543795456, 205595391024, 429235503104, -581445905824, 421113454848, 33103927776, -1032725315584, -1647085791744, -9251113728, -3636605043040, 313402908672, 3192652970496, -275419575808, -2141044443072, 2229955161088, -4922986501424, 108495253440, -425506592, 345439207424, 1149211568016, -712004264704, -6568215349544, -852632469504, -10810469765600, -788750726400, 0, 1599999348736, 1291586913728, 112100511168, 1489407244960, -4647210731520, 23395101156, 300890767872, 9706353056672, -141912539136, -8979173491672, -3274042782464, 894745346688, 0, -1075468606712, 5632356525696, -1885484790184, -540922511360, 1287424547280, 784001098752, -1993216794240, 70217653248, -4607503598456, -1232489324672, 300008960352, 0, 168351680848, -649713826944, -3784270916880, -552279362048, 24003812160, 3528896994816, 5608086635168, -1042922151936, 1716963268888, 4306342773888, -1934000781768, 698769680384, -941721223920, 0, 1781897836280, 0, -2277955748016, 3479392520448, 8271953486848, -1100347020288, 2959134880480, -2163201323008, 308071906632, -1678979518464, 1634589436640, -3691754288640, 2323210654752, -907967894528, -3152289572928, 1896017860352, -5834855212392, 0, -745090668464, -2255952434944, -7868858355936, 840514731008, -293487195400, 2833527446784, 668317607136, 0, 1228542703956, -657042846976, -4194356623216, -170499603456, 191447494320, -164437096960, 3557077834176, 382055841792, 1958579741920, -1458658596096, 77399585424, 2062651549184, 644200543584, -1359319064960, 6462212891072, 775000756224, -2435680197144, 2165599747584, 1393528686336, -3960743843840, 6904148757984, -1677124161792, 12198671002464, 62780342272, -637820998920, 288261726272, -1307851274064, 989636465664, 5954881796304, -5446011440128, -7575458256, -140683870208, -2871374058256, 1360054048320, -8109570008976, 1726461187584, -1873804430592, 2080758053568, 373077930680, 595390169088, 1098621251424, -1453014528, 3714980598000, -512635353088, -3805117411680, 0, -3947674028240, -3032131428352, -2948492984544, 5680022710208, 6344187137696, 881132967936, 837465010536, -7443764869120, -1450330453440, -407324590080, 8915698879856, -4593070652544, 1046536625248, 887044845568, 3783098068128, -3721826839872, 1815639926016, -353862991872, -1741188515456, 3060185351680, 303521199408, -2190567479808, -4469597605104, 2053978608384, -916234085376, 864885800960, -87011772048, -50207538752, -4079398896824, 1128847712256, -3749381498544, -608502492416, -809184612960, -2446436597760, 3556647890376, 14897960640, 1980630677000, 43303481344, 1784601654336, -5013264475904, 2858732467600, 0, -7153717088968, 3730419899264, 447708491568, -2639830563840, -7016002611360, 793237003776, -108357552576, -1847162699776, 818012278944, 5964281534720, 10495991690752, -351106928640, 883840837104, -1546351125760, 518245305552, 1660731211776, 5703193477568, 5186668121856, -16173637457280, -1850645359616, 414433898928, -7874610869632, -247452840608, 381026598912, -4089400396712, 12289280997120, -2076368546304, -836531888640, -1491829613040, 934978681728, 10344230509264, -1594884096, 5542830355968, 1446312174208, -4942780063872, -2145830496768, -887730042912, 4842367618816, -532607650776, -2398336909312, 532856527584, 325542672000, 6573006243176, -1014073494528, -2774053042128, 5016069526272, -13309799728864, -270840692736, -1374702192416, 1663253873664, -2583026422560, -1425381443584, 3994514827568, -3206914364160, -2251625118288, 0, 1232469526608, 3261320016320, -3798755203824, -438373859328, 15248854786720, -1733348635136, -119191588992, -164217487360, -8725897488216, 0, -1950532050200, -589714451456, -822874273056, 1987006441728, 2828802256352, 2465568018432, -1579915130208, -1552195750272, -943617763296, 2043430283264, -2276902462800, -3733987004352, 1077544930320, 171528028160, 1078160314608, 3106610933632, -4564611415456, 0, 3118918718864, 1465579527680, 9299931724656, 180792098816, -6243549262080, -2148505952256, -3976862321656, -5288342409216, -49428579456, 1161777958848, -5957756311224, 244342849536, 230648145920, -603031976960, 1347095998152, -4843812088832, 1735329475104, 1905134494464, 6535132529480, 4265318858752, 579245322096, 876540357888, 1745105608272, -636772783104, 5527683448688, -10539587322240, 3461362438896, 0, -5256240000, -205278306048, 2706829187936, -1528850906624, 18324938287296, -589769780224, 660946648880, 88562792448, 9297065265020, -7432553974528, -4547229780384, 1778488074240, -4044635445984, -223960911552, -8019357096256, 0, -31922682552, -4985622017152, 117160617440, -3072701039616, 1141219979536, 4373926978176, 172310805360, 2617761566720, -5250143651208, 325866592512, 10954822540064, -535002553344, -10581046530048, -546416874368, -5124609825120, -254334173184, 12616758541560, -3593945541888, -62705786472, -1340212722688, 6464503847384, 2305510338816, -5896547132992, 4122377601024, 3277169489952, 407551195072, 8778515478024, -606766132224, 3737636073888, 906254089600, -1374769551168, 1155395747840, 1796963433664, 917657862912, -5689869064312, -1946582958080, 1212724345824, -2747581706496, 905484721312, 301074665472, 15806547250816, -6443529113728, 1148304135600, 1636617502208, 3149813377376, 524738072448, 2677014764424, -194290548736, -5053623927552, -7462154932864, -3678371403824, -2089684279296, -2814102844032, -558448782080, 140041786464, -1971300941824, 251998044272, -102814256448, -14770470524640, -7038136318976, -1404504738000, -1108635313856, -20885825398416, 0, 2804301519472, 10044181228160, 6469850998080, 601410865664, 6218674056112, 1424274815808, -4871477249256, -3955546308608, -976390331544, 3581997142912, 754500919648, -4173051681792, 10754355858208, -7645231488256, 4323034010304, 521475194880, 16803824752640, -199605518784, -623681477536, 1809916513792, -432029148768, 4243656793664, -9107486235024, -2241253933056, -5549683693120, 2369189990016, -109568280096, -539992885760, -6466128115224, 84976515072, 11565936377152, 0, 3537436024944, 6761474948352, 4069395896544, 2082772548864, 441633336352, 2766626538240, -1042237088928, -780063604736, -8752012239632, -2317724914176, 6426057977968, 9330825528320, -727619192352, -893741171456, 2420685279632, 2048314245120, 5803967797184, 2639251667200, 11003191392240, -2325398579200, 6203252302240, -1380070389888, -8146439131088, -1954668707840, -4919715561312, -1557898394624, -2238933911664, 0, -12151315487984, -2095208246016, -537833093616, 221912236032, -1065525624800, 3510634808448, -1134715132712, 10977097579520, 4813793940528, -5682383477120, 2887901328936, 101186039808, -5674362616064, 1182487637632, -875638782432, 283265891840, -22550233785024, 6003313028352, -11668700678752, 5157281726464, -909825014952, -82873231104, -11822322485704, 918550444032, 9105204680480, -14566473684736, 934184276928, 715921805312, -11140226192784, -860363140608, 1865478714400, -3311424086016, 1483749236448, -4436656122944, 5800378189312, 7913078784, 2268166014920, 2530322362240, 1161670918680, -6735362678784, 5470218100800, -1712586201984, 15295406521056, 965316452352, -1753017426720, -8190932176832, 6154947500224, 864025823232, -491059396464, -3415291548032, -1853575901424, 3119846653952, 18199488690688, 587807796672, 8463874277312, -816665679872, 413069957424, -625889223424, -1051139660544, -4377585917952], "hecke_cutter_primes": [5], "level_primes": [2, 3, 7, 13], "relative_dim": 84, "hecke_orbit_code": 134218274, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [6, 5, 4, 6, 5, 5, 6, 5, 5, 6, 6, 4, 6, 4, 4, 7], "newforms": ["546.8.a.a", "546.8.a.b", "546.8.a.c", "546.8.a.d", "546.8.a.e", "546.8.a.f", "546.8.a.g", "546.8.a.h", "546.8.a.i", "546.8.a.j", "546.8.a.k", "546.8.a.l", "546.8.a.m", "546.8.a.n", "546.8.a.o", "546.8.a.p", "546.8.a.q", "546.8.a.r", "546.8.a.s"], "oldspaces": [[2, 1, 1, 8], [3, 1, 1, 8], [6, 1, 1, 4], [7, 1, 1, 8], [13, 1, 1, 8], [14, 1, 1, 4], [21, 1, 1, 4], [26, 1, 1, 4], [39, 1, 1, 4], [42, 1, 1, 2], [78, 1, 1, 2], [91, 1, 1, 4], [182, 1, 1, 2], [273, 1, 1, 2]]}