{"label":"30.6.a.a","letter":"a","dim":1,"charpoly":["-2324","1"],"traces":["1","-4","9","16","-25","-36","164","-64","81","100","720","144","698","-656","-225","256","-2226","-324","356","-400","1476","-2880","-1800","-576","625","-2792","729","2624","714","900","848","-1024","6480","8904","-4100","1296","-11302","-1424","6282","1600","9354","-5904","-5956","11520","-2025","7200","-11160","2304","10089","-2500","-20034","11168","14106","-2916","-18000","-10496","3204","-2856","7920","-3600","-13450","-3392","13284","4096","-17450","-25920","-65476","-35616","-16200","16400","34560","-5184","86258","45208","5625","5696","118080","-25128","-108832","-6400","6561","-37416","10668","23616","55650","23824","6426","-46080","10818","8100","114472","-28800","7632","44640","-8900","-9216","4418","-40356","58320","10000","-102942","80136","-69436","-44672","-36900","-56424","17412","11664","-203770","72000","-101718","41984","-212202","-12816","45000","11424","56538","-31680","-365064","14400","357349","53800","84186","13568","-15625","-53136","6140","-16384","-53604","69800","-205920","103680","58384","261904","-18225","142464","230334","64800","260756","-65600","-100440","-138240","502560","20736","-17850","-345032","90801","-180832","-29526","-22500","125168","-22784","-180306","-472320","-21200","100512","-43222","435328","126954","25600","-295200","-26244","-293476","149664","-162000","-42672","322200","-94464","115911","-222600","28836","-95296","-261918","-25704","102500","184320","71280","-43272","623544","-32400","-61186","-457888","-121050","115200","282550","-30528","-1602720","-178560","119556","35600","737256","36864","539162","-17672","-157050","161424","-651174","-233280","157328","-40000","-589284","411768","117096","-320544","-233850","277744","-145800","178688","256320","147600","707180","225696","311040","-69648","148900","-46656","139072","815080","776322","-288000","-1553748","406872","-530740","-167936","50625","848808","120372","51264","772310","-180000","1062720","-45696","8838","-226152","279000","126720","-979488","1460256","-775416","-57600","-373438","-1429396","59049","-215200","-252225","-336744","248488","-54272","96012","62500","71976","212544","-1296000","-24560","500850","65536","1593558","214416","-1853528","-279200","57834","823680","-2054520","-414720","-352650","-233536","97362","-1047616","-258486","72900","-1983976","-569856","1030248","-921336","450000","-259200","1613258","-1043024","68688","262400","1378818","401760","1458308","552960","-80100","-2010240","1534056","-82944","3535219","71400","39762","1380128","-988134","-363204","-198000","723328","524880","118104","-1256400","90000","-976784","-500672","-926478","91136","336250","721224","-393820","1889280","-624924","84800","1554480","-402048","1760498","172888","-332100","-1741312","2371122","-507816","514080","-102400","156708","1180800","-792456","104976","436250","1173904","-1833930","-598656","-1830240","648000","-980068","170688","-915462","-1288800","1636900","377856","905834","-463644","-1909818","890400","610560","-115344","-1101752","381184","405000","1047672","-2950692","102816","-2157610","-410000","508842","-737280","1288734","-285120","-864000","173088","-3285576","-2494176","-2269464","129600","-2349363","244744","3216141","1831552","-2156450","484200","1046588","-460800","757674","-1130200","2313384","122112","1798274","6410880","-140625","714240","498372","-478224","-2184124","-142400","55260","-2949024","1784520","-147456","-2952000","-2156648","-482436","70688","-1109526","628200","4006800","-645696","-1853280","2604696","2720800","933120","3895682","-629312","525456","160000","-1206726","2357136","591904","-1647072","-164025","-468384","-8137440","1282176","5613626","935400","2073006","-1110976","1298880","583200","-266700","-714752","2346804","-1025280","1150560","-590400","-3830890","-2828720","-903960","-902784","-1391250","-1244160","-2205800","278592","4523040","-595600","155520","186624","4143914","-556288","-160650","-3260320","-640800","-3105288","6236528","1152000","817209","6214992","4525068","-1627488","-270450","2122960","-265734","671744","2564634","-202500","6734880","-3395232","1126512","-481488","-2861800","-205056","-5534086","-3089240","-1622754","720000","-7192110","-4250880","-1139356","182784","-190800","-35352","7361676","904608","-10738064","-1116000","-388998","-506880","-4288320","3917952","222500","-5841024","1142586","3101664","-1362264","230400","-7888796","1493752","-2656800","5717584","-110450","-236196","606428","860800","-2641284","1008900","-5842776","1346976","-1589364","-993952","-1458000","217088","5667840","-384048","-1150444","-250000","2899800","-287904","-869664","-850176","2573550","5184000","1043199","98240","1434954","-2003400","14146312","-262144","259524","-6374232","1735900","-857664","-8035200","7414112","-2357262","1116800","10437138","-231336","-7759420","-3294720","922500","8218080","-1887648","1658880","-3196343","1410600","641520","934144","6529092","-389448","-435300","4190464","5611896","1033944","7264080","-291600","-1102330","7935904","-550674","2279424","5094250","-4120992","2482628","3685344","-1089450","-1800000","254184","1036800","-17848448","-6453032","2542950","4172096","5735682","-274752","-4157288","-1049600","-14424480","-5515272","517092","-1607040","5305050","-5833232","1076004","-2211840","-6727662","320400","-10328980","8040960","6635304","-6136224","-1125000","331776","9258338","-14140876","4852458","-285600","1749552","-159048","10156320","-5520512","-1413450","3952536","-9571548","1452816","301888","792000","-5860566","-2893312","-11238810","-2099520","9126600","-472416","1415952","5025600","3726696","-360000","6747338","3907136","-5303556","2002688","-8933725","3705912","-6833836","-364544","1053864","-1345000","-7789680","-2884896","-433222","1575280","-2104650","-7557120","-5175690","2499696","-151996","-339200","-1312200","-6217920","1774152","1608192","390625","-7041992","2306880","-691552","25158252","1328400","10563512","6965248","6364620","-9484488","-153500","2031264","7042122","-2056320","2799360","409600","-5537550","-626832","8891324","-4723200","1340100","3169824","2294736","-419904","5702400","-1745000","1251648","-4695616","-13633758","7335720","5148000","2394624","6986898","7320960","-13123392","-2592000","17852174","3920272","-13983732","-682752","-1459600","3661848","-1285200","5155200","-4776660","-6547600","-9684000","-1511424","13247114","-3623336","455625","1854576","10449066","7639272","724552","-3561600","1083348","-2442240","-613308","461376","-5758350","4407008","6950790","-1524736","9845988","-1620000","-21399196","-4190688","9564480","11802768","-6518900","-411264","-20822004","8630440","79542","1640000","10977834","-2035368","-4023512","2949120","2511000","-5154936","-16882488","1140480","1697318","3456000","-8815392","-692352","-1526400","13142304","-12564000","9976704","-6978744","9077856","3713040","-518400","-11387504","9397452","-3360942","-978976","446250","-12864564","1380668","-7326208","531441","8625800","13258056","-1936800","13815602","-4186352","-2270025","1843200","-47142720","-3030696","4594628","4520800","2236392","-9253536","8511744","-488448","738150","-7193096","864108","-25643520","2855568","562500","17122400","-2856960","647784","-1993488","-3129200","1912896","-1220182","8736496","-11664000","569600","12032658","-221040","-33418280","11796096","4507650","-7138080","5528160","589824","-18895198","11808000","14342022","8626592","17211498","1929744","530000","-282752","-16681752","4438104","3330024","-2512800","24883200","-16027200","520506","2582784","1080550","7413120","13297004","-10418784","-18490680","-10883200","-34801128","-3732480","-9388100","-15582728","-3173850","2517248","21563250","-2101824","24842160","-640000","876258","4826904","62105760","-9428544","7380000","-2367616","-2326374","6588288","26535546","656100","-14001484","1873536","-17855784","32549760","7336900","-5128704","-2120336","-22454504","9272232","-3741600","13228578","-8292024","-7258180","4443904","4050000","-5195520","18452748","-2332800","-24364042","1066800","14519322","2859008","-22458114","-9387216","-8055000","4101120","618192","-4602240","-15579336","2361600","-20001353","15323560","12409362","11314880","-2897775","3615840","58605236","3611136","13124772","5565000","20343600","4976640","30806186","8823200","-720900","-1114368","-2020842","-18092160","-22479004","2382400","13806504","-622080","-9209424","-746496","6547950","-16575656","31816971","2225152","-78359040","642600","-45702248","13041280","357858","2563200","-2562500","12421152","-5362582","-24946112","-8893206","-4608000","13834746","-3268836","-1660036","-24859968","-1782000","-18100272","-8106120","6509952","1006960","1081800","4723920","-8491840","-3972960","1062936","-15588600","-2686976","-11307600","-10258536","605472","810000","-31399956","-26939520","-8791056","13580928","1529650","-4506048","4053596","1925952","-8338302","11447200","-13823328","820224","7680960","22136344","3026250","12356960","-33770880","6491016","-37844296","-2880000","-3544380","28768440","24122880","17003520","-7063750","4557424","-5624316","-731136","-27282246","763200","3591684","141408","13990320","-29446704","40068000","-3618432","43266554","42952256","15844482","4464000","8501058","1555992","-16837200","2027520","-2988900","17153280","7104564","-15671808","60208084","-890000","21340098","23364096","-53974146","-4570344","-18431400","-12406656","4626720","5449056","37774776","-921600","-27910047","31555184","1410372","-5975008","-13479050","10627200","36458324","-22870336","-7132104","441800","-52028616","944784","42763984","-2425712","3926250","-3443200","127902","10565136","7788960","-4035600","-16505370","23371104","-15766656","-5387904","16279350","6357456","-16472160","3975808","10720800","5832000","29941544","-868352","-8820612","-22671360","-3933200","1536192","-50743966","4601776","-8239158","1000000"],"space":"30.6.a","level":30,"weight":6,"T":[[7,1],[11,3]],"status":"proven","derived":{"al":[[2,1],[3,-1],[5,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/30.6.a.a"}