{"label":"250.4.a","level":250,"weight":4,"dims":{"new":24,"cusp":103,"eisenstein":20,"modsym":226},"old":[[5,1,6],[10,1,3],[25,3,4],[50,5,2],[125,24,2]],"T":[[3,1],[7,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 5, 10, 25, 50, 125, 250]: [1, 2, 3, 7, 9, 25, 39, 115] (certified at ell = 2147482801)","T = [(3, 1), (7, 1)]; h of degree 24 = 1 x 24 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"250.4.a.a","letter":"a","dim":2,"charpoly":["209","-29","1"],"traces":["2","-4","1","8","0","-2","28","-16","-51","0","-96","4","51","-56","0","32","8","102","25","0","9","192","-94","-8","0","-102","-50","112","-320","0","-201","-64","-13","-16","0","-204","-142","-50","-107","0","-526","-18","-24","-384","0","188","-307","16","-284","0","209","204","-519","100","0","-224","-185","640","-365","0","-781","402","-719","128","0","26","-707","32","-32","0","164","408","-849","284","0","100","-1414","214","120","0","1222","1052","-364","36","0","48","-405","768","920","0","979","-376","382","614","0","-32","2943","568","2483","0","1294","-418","-74","-408","0","1038","813","-200","735","0","84","448","2746","370","0","-1280","-1433","730","-298","0","2436","1562","-283","-804","0","1438","-2962","-256","283","0","-2481","-52","745","1414","0","-64","2483","64","950","0","104","-328","-4303","-816","0","1698","-282","-568","-1610","0","1129","-200","1","2828","0","-428","2103","-240","-1242","0","-1346","-2444","1281","-2104","0","728","-3642","-72","3929","0","-835","-96","-154","810","0","-1536","-1210","-1840","-3290","0","-1046","-1958","87","752","0","-764","2486","-1228","-440","0","-416","64","5011","-5886","0","-1136","6518","-4966","-630","0","-156","-2588","-3990","836","0","148","2412","816","-3965","0","1974","-2076","247","-1626","0","400","-3779","-1470","618","0","-10661","-168","671","-896","0","-5492","-8397","-740","-6825","0","23","2560","5866","2866","0","-1460","2125","596","-2695","0","-2436","-4872","1766","-3124","0","566","11105","1608","-2582","0","-3391","-2876","4722","5924","0","512","7738","-566","-2298","0","7915","4962","6511","104","0","-1490","1910","-2828","925","0","-861","128","-1493","-4966","0","-128","6848","-1900","5608","0","-2216","-208","-2714","656","0","8606","-7324","1632","7016","0","1184","-3396","8186","564","0","1136","580","3220","-3192","0","-926","-2258","777","400","0","-2","-13537","-5656","-887","0","-3211","856","-6844","-4206","0","480","9908","2484","11930","0","3829","2692","-16095","4888","0","-2562","-125","4208","-4813","0","12249","-1456","3776","7284","0","144","-842","-7858","813","0","16403","1670","-13300","192","0","308","-10152","-1620","19310","0","5615","3072","7316","2420","0","3680","2701","6580","-4005","0","2197","2092","-2142","3916","0","-174","-15447","-1504","13393","0","-5301","1528","16191","-4972","0","2456","4825","880","-6235","0","-4346","832","-3104","-128","0","-10022","907","11772","-4990","0","854","2272","-3773","-13036","0","9932","-16262","1260","-2455","0","-11576","312","-30698","5176","0","7980","8986","-1672","410","0","-651","-296","-3055","-4824","0","-1632","4035","7930","6330","0","7449","-3948","8086","4152","0","-494","-11889","3252","5101","0","-11501","-800","-11774","7558","0","2940","-2360","-1236","15350","0","7102","21322","13326","336","0","-1342","145","1792","-15085","0","24968","10984","3002","16794","0","1480","-13732","13650","-10860","0","879","-46","-4114","-5120","0","-11732","2558","-5732","-10293","0","3509","2920","5282","-4250","0","-1192","12252","5390","-26935","0","-11836","4872","-228","9744","0","-3532","-2302","6248","6978","0","-35731","-1132","-21370","-22210","0","-3216","1966","5164","2780","0","-5936","6782","33851","5752","0","-9444","-4793","-11848","-6600","0","-13971","-1024","9645","-15476","0","1132","18341","4596","773","0","-12321","-15830","-10564","-9924","0","-13022","38761","-208","-19826","0","8280","2980","-12353","-3820","0","5656","-2875","-1850","11672","0","1534","1722","1872","-256","0","2986","-40837","9932","20393","0","15355","256","-2450","-13696","0","3800","-33412","-11216","-16247","0","-8457","4432","-33144","416","0","5428","17498","-1312","-10840","0","-14136","-17212","-6468","14648","0","-3264","-427","-14032","7168","0","-296","-2368","11157","6792","0","-16372","-6252","-1128","-40630","0","3369","-2272","5246","-1160","0","-6440","-7310","6384","-12045","0","1354","1852","18226","4516","0","-1554","-5342","-800","-4625","0","-21476","4","-3554","27074","0","11312","3508","1774","14460","0","1570","6422","9980","-1712","0","13688","7935","8412","12142","0","-4816","-960","8762","-19816","0","-4968","178","-23860","-4017","0","-1591","-7658","-7059","-5384","0","32190","5598","-9776","3135","0","5368","5124","-15114","250","0","-8416","22692","9626","41035","0","15624","-24498","-633","2912","0","-7552","13570","-14568","9308","0","44173","-288","29791","1684","0","15716","4908","-1626","41777","0","-4306","-32806","-174","-3340","0","26600","-8640","-384","38838","0","6214","-616","36787","20304","0","3240","-3744","-38620","-4047","0","31319","-11230","-14020","-6144","0","-14632","17856","-4840","8115","0","-995","-7360","12342","-5402","0","-13160","-6420","8010","-19905","0","664","-4394","7007","-4184","0","4284","14648","-7832","-27171","0","24094","348","-15239","30894","0","3008","36701","-26786","-5410","0","-1140","10602","32201","-3056","0","-32382","6882","9944","4537","0","-36336","-4912","-5033","-9650","0","-1760","12998","12470","-4","0","32644","8692","11275","-1664","0","6208","45150","256","12850","0","7199","20044","-4214","-1814","0","-23544","1376","9980","-4995","0","-5562","-1708","20740","-4544","0","7546","7978","26072","1928","0","39564","-19864","-45223","32524","0","-2520","-57087","4910","19887","0","-22010","23152","55347","-624","0","61396","5895","-10352","34610","0","20834","-15960","187","-17972","0","3344","-23605","-820","-26947","0","-23831","1302","32216","592","0","6110","4343","9648","36015","0","-7181","3264","-12616","-8070","0","-15860","-20065","-12660","4635","0","26432","-14898","-19308","7896","0","-16172","40824","-8304","-2772","0","7604","988","-14814","23778","0","-6504","-17022","-10202","-66930","0","-2627","23002","59206","1600","0","23548","5148","-15116","23150","0","-28496","-5880","-75334","4720","0","2472","-20577","-30700","7893","0","25764","-14204","-5144","-42644","0","-26652","27988","-672","-35738","0","-61386","2684","-24180","-290","0","-3584","5014","30170","-15125","0","-82641","-49936","3727","-21968","0","-6004","-43027","-33588","-32867","0","-23406","-2960","-16128","27464","0","-27300","-29669","21720","-12410","0","-9631","-1758","-4563","92","0","8228","1037","10240","-20680","0","7510","23464","4752","-5116","0","11464","-66947","20586","-4652","0","37959","-7018","24602","-5840","0","-10564","60638","8500","-76902","0","7114","2384","-36729","-24504","0","-10780","12125","53870","38547","0","53741","23672","-17309","-9744","0","456","-13307","-19488","-6275","0","-16286","7064","6180","4604","0","-12496","-90837","-13956","-23860","0","-19235","71462","-2289","2264","0","42740","1966","44420","2898","0","-83226","6432","-178","-3932","0","-10328","49533","-5560","-4510","0"],"derived":{"al":[[2,1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.b","letter":"b","dim":2,"charpoly":["-31","-14","1"],"traces":["2","-4","11","8","0","-22","3","-16","29","0","14","44","66","-6","0","32","138","-58","30","0","-66","-28","371","-88","0","-132","110","12","-205","0","-226","-64","-58","-276","0","116","388","-60","258","0","509","132","261","56","0","-742","-87","176","-379","0","1104","264","1016","-220","0","-24","900","410","890","0","-131","452","-864","128","0","116","-852","552","2138","0","-206","-232","-414","-776","0","120","516","-516","820","0","902","-1018","-1499","-264","0","-522","-2395","-112","-155","0","484","1484","-1438","174","0","-352","-842","758","-1282","0","-1541","-2208","-624","-528","0","-2032","-497","440","-2495","0","1954","48","-314","-1800","0","-820","-198","-1780","-1058","0","-1754","262","1757","-904","0","1728","1153","-256","453","0","644","-232","-2650","1704","0","-1104","1198","-4276","-420","0","-861","412","1092","464","0","828","-2332","1552","435","0","-3496","-240","5796","-1032","0","1032","-3922","-1640","4808","0","199","-1804","-4309","2036","0","2998","283","528","-1726","0","8520","1044","4546","4790","0","224","6410","310","5350","0","1069","-968","-1448","-2968","0","2876","-1104","-348","-3795","0","-4486","704","796","1684","0","-1516","1298","2564","3750","0","-5796","3082","4340","4416","0","1248","6452","1056","-4200","0","-696","4064","-7748","994","0","-880","376","4990","-4782","0","2944","-3908","4861","-96","0","628","3743","3600","-5655","0","2058","1640","-174","396","0","3560","1270","2116","-3380","0","-6551","3508","2486","-524","0","-3514","-2440","1808","-6332","0","24","-3456","2012","-2306","0","512","-2192","-906","1242","0","-16915","-1288","4701","464","0","5300","6310","-3408","-9400","0","1704","2208","-218","-2396","0","8552","-10642","840","-5422","0","-1391","1722","-3984","-824","0","-2184","4586","-928","4986","0","-2006","-1656","-9954","4664","0","-3104","-5710","-870","11788","0","3994","6992","-11768","480","0","-11592","1213","2064","5568","0","10494","-2064","1596","7844","0","3280","2208","-9616","6170","0","-1181","-398","13340","3608","0","8618","-10505","-4072","1272","0","7884","-5996","3646","-566","0","-1056","-3932","3452","9658","0","-412","-17040","-690","-2088","0","-9092","8613","-9580","2505","0","-1410","-448","5406","-12820","0","-620","-10994","-10700","-3590","0","10742","-2138","-11537","1936","0","2896","193","5936","-4087","0","4384","-5752","-20124","2208","0","696","-850","7590","6060","0","-5981","8972","2271","-1408","0","-1592","-7023","-3368","4445","0","27094","3032","9662","-2596","0","-5128","-4202","-7500","-14710","0","-17461","11592","-6548","-6164","0","-8680","3796","-8832","-4705","0","-10256","-2496","-4220","-12904","0","-2112","-8670","8400","5680","0","2199","1392","-5469","-8128","0","15496","2471","-1988","816","0","3844","1760","22016","-752","0","-9980","8750","9564","8310","0","-8218","-5888","15001","7816","0","-9722","4680","192","-9280","0","9818","-1256","-18478","-7486","0","-7200","-9392","11310","24150","0","9599","-4116","5431","-3280","0","348","12733","-792","2792","0","-12016","-7120","7722","-2540","0","-4232","6152","6760","-4960","0","13644","13102","-14063","-7016","0","-4972","-6077","1048","-23812","0","-18126","7028","-33580","4880","0","-3616","23946","12664","17790","0","6409","-48","-6219","6912","0","-4024","-16423","4612","-17280","0","8564","-1024","36930","4384","0","1812","1686","-2484","16528","0","26419","33830","-22239","2576","0","-9402","-18584","-928","44909","0","29570","-10600","21662","-12620","0","6816","41230","18800","-1168","0","-20311","-3408","22447","-4416","0","436","-1167","4792","-9902","0","-44480","-17104","13110","21284","0","-1680","29598","10844","13198","0","-12972","2782","44496","-3444","0","7968","-462","1648","-15525","0","23484","4368","-12088","-9172","0","1856","19948","-9972","-17522","0","-9261","4012","11792","3312","0","19908","-19032","-9328","-9760","0","404","6208","-6444","11420","0","1740","-3480","-23576","-14500","0","-1031","-7988","-24564","-13984","0","23536","43788","-960","30425","0","-1086","23184","6736","-2426","0","-4128","-14382","-11136","-11490","0","25085","-20988","-26495","4128","0","-3192","-19980","-15688","24012","0","-30186","-6560","9222","-4416","0","19232","-11352","-12340","-75752","0","-12871","2362","22521","796","0","-26680","-8792","-7216","-2860","0","11098","-17236","-364","21010","0","8144","-33558","-2544","-41370","0","9559","-15768","20332","11992","0","-7292","-43520","1132","17563","0","3448","2112","-20974","7864","0","-6904","10708","-19316","-10888","0","2744","824","-13449","34080","0","1380","-24900","4176","37168","0","25024","18184","-1098","-17226","0","19160","19136","-5010","33348","0","-24396","2820","-60","896","0","-10812","9761","25640","-4895","0","-23750","1240","-42768","21988","0","21400","-24530","7180","1700","0","-33936","-21484","-9218","4276","0","23074","-6617","-3872","-26971","0","2944","-5792","10786","-386","0","-11872","696","8174","35480","0","9260","-8768","-32744","11504","0","40248","-698","-4416","-6438","0","-59036","-1392","5532","1700","0","-15180","56698","-12120","-13294","0","-301","11962","-15540","-17944","0","-4542","22300","2816","-31595","0","-40136","3184","-12244","14046","0","6736","-9444","-8890","-26420","0","38248","-54188","-72115","-6064","0","-19324","14053","5192","38883","0","-42216","10256","-928","8404","0","15000","-55742","29420","-11868","0","76540","34922","12132","-23184","0","13096","-43570","12328","-32815","0","12634","17360","17592","-7592","0","17664","-28180","9410","-24662","0","-65991","20512","57516","4992","0","8440","-12632","25808","15405","0","-73576","4224","-29946","17340","0","-16800","-21790","-11360","-41760","0","43637","-4398","-27938","-2784","0","10938","4299","16256","-37572","0","71194","-30992","18876","-4942","0","3976","-87262","-1632","55060","0","2663","-7688","-11829","-3520","0","-44032","75033","1504","25180","0","-22936","19960","16666","-17500","0","-19128","28028","-16620","-52122","0","-9971","16436","-4919","11776","0","-30002","23813","-15632","46912","0","3344","19444","-13800","-9360","0","-384","48574","18560","34150","0","58144","-19636","9727","2512","0","36956","67743","14972","-58562","0","12734","14400","-21968","18784","0","-22620","-21474","-48300","-33650","0","43084","-19198","24072","8232","0","-10862","89952","6560","26435","0","-13770","-696","76722","-25466","0","1584","-25952","-5584","48708","0","54684","24032","89902","14240","0","-15444","34413","5080","-1972","0","-8766","8464","-20864","-12304","0","-13520","38900","9920","63562","0","-32354","-27288","9871","-26204","0","28126","-50717","14032","129260","0","15984","9944","22690","12154","0","-2096","-3682","47624","-44060","0","-785","36252","24156","-14056","0","67160","10011","-9760","44158","0","16564","7232","42102","-47892","0","-25328","-33322","-35580","12700","0"],"derived":{"al":[[2,1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.c","letter":"c","dim":2,"charpoly":["-31","14","1"],"traces":["2","4","-11","8","0","-22","-3","16","29","0","14","-44","-66","-6","0","32","-138","58","30","0","-66","28","-371","-88","0","-132","-110","-12","-205","0","-226","64","58","-276","0","116","-388","60","258","0","509","-132","-261","56","0","-742","87","-176","-379","0","1104","-264","-1016","-220","0","-24","-900","-410","890","0","-131","-452","864","128","0","116","852","-552","2138","0","-206","232","414","-776","0","120","-516","516","820","0","902","1018","1499","-264","0","-522","2395","112","-155","0","484","-1484","1438","174","0","-352","842","-758","-1282","0","-1541","2208","624","-528","0","-2032","497","-440","-2495","0","1954","-48","314","-1800","0","-820","198","1780","-1058","0","-1754","-262","-1757","-904","0","1728","-1153","256","453","0","644","232","2650","1704","0","-1104","-1198","4276","-420","0","-861","-412","-1092","464","0","828","2332","-1552","435","0","-3496","240","-5796","-1032","0","1032","3922","1640","4808","0","199","1804","4309","2036","0","2998","-283","-528","-1726","0","8520","-1044","-4546","4790","0","224","-6410","-310","5350","0","1069","968","1448","-2968","0","2876","1104","348","-3795","0","-4486","-704","-796","1684","0","-1516","-1298","-2564","3750","0","-5796","-3082","-4340","4416","0","1248","-6452","-1056","-4200","0","-696","-4064","7748","994","0","-880","-376","-4990","-4782","0","2944","3908","-4861","-96","0","628","-3743","-3600","-5655","0","2058","-1640","174","396","0","3560","-1270","-2116","-3380","0","-6551","-3508","-2486","-524","0","-3514","2440","-1808","-6332","0","24","3456","-2012","-2306","0","512","2192","906","1242","0","-16915","1288","-4701","464","0","5300","-6310","3408","-9400","0","1704","-2208","218","-2396","0","8552","10642","-840","-5422","0","-1391","-1722","3984","-824","0","-2184","-4586","928","4986","0","-2006","1656","9954","4664","0","-3104","5710","870","11788","0","3994","-6992","11768","480","0","-11592","-1213","-2064","5568","0","10494","2064","-1596","7844","0","3280","-2208","9616","6170","0","-1181","398","-13340","3608","0","8618","10505","4072","1272","0","7884","5996","-3646","-566","0","-1056","3932","-3452","9658","0","-412","17040","690","-2088","0","-9092","-8613","9580","2505","0","-1410","448","-5406","-12820","0","-620","10994","10700","-3590","0","10742","2138","11537","1936","0","2896","-193","-5936","-4087","0","4384","5752","20124","2208","0","696","850","-7590","6060","0","-5981","-8972","-2271","-1408","0","-1592","7023","3368","4445","0","27094","-3032","-9662","-2596","0","-5128","4202","7500","-14710","0","-17461","-11592","6548","-6164","0","-8680","-3796","8832","-4705","0","-10256","2496","4220","-12904","0","-2112","8670","-8400","5680","0","2199","-1392","5469","-8128","0","15496","-2471","1988","816","0","3844","-1760","-22016","-752","0","-9980","-8750","-9564","8310","0","-8218","5888","-15001","7816","0","-9722","-4680","-192","-9280","0","9818","1256","18478","-7486","0","-7200","9392","-11310","24150","0","9599","4116","-5431","-3280","0","348","-12733","792","2792","0","-12016","7120","-7722","-2540","0","-4232","-6152","-6760","-4960","0","13644","-13102","14063","-7016","0","-4972","6077","-1048","-23812","0","-18126","-7028","33580","4880","0","-3616","-23946","-12664","17790","0","6409","48","6219","6912","0","-4024","16423","-4612","-17280","0","8564","1024","-36930","4384","0","1812","-1686","2484","16528","0","26419","-33830","22239","2576","0","-9402","18584","928","44909","0","29570","10600","-21662","-12620","0","6816","-41230","-18800","-1168","0","-20311","3408","-22447","-4416","0","436","1167","-4792","-9902","0","-44480","17104","-13110","21284","0","-1680","-29598","-10844","13198","0","-12972","-2782","-44496","-3444","0","7968","462","-1648","-15525","0","23484","-4368","12088","-9172","0","1856","-19948","9972","-17522","0","-9261","-4012","-11792","3312","0","19908","19032","9328","-9760","0","404","-6208","6444","11420","0","1740","3480","23576","-14500","0","-1031","7988","24564","-13984","0","23536","-43788","960","30425","0","-1086","-23184","-6736","-2426","0","-4128","14382","11136","-11490","0","25085","20988","26495","4128","0","-3192","19980","15688","24012","0","-30186","6560","-9222","-4416","0","19232","11352","12340","-75752","0","-12871","-2362","-22521","796","0","-26680","8792","7216","-2860","0","11098","17236","364","21010","0","8144","33558","2544","-41370","0","9559","15768","-20332","11992","0","-7292","43520","-1132","17563","0","3448","-2112","20974","7864","0","-6904","-10708","19316","-10888","0","2744","-824","13449","34080","0","1380","24900","-4176","37168","0","25024","-18184","1098","-17226","0","19160","-19136","5010","33348","0","-24396","-2820","60","896","0","-10812","-9761","-25640","-4895","0","-23750","-1240","42768","21988","0","21400","24530","-7180","1700","0","-33936","21484","9218","4276","0","23074","6617","3872","-26971","0","2944","5792","-10786","-386","0","-11872","-696","-8174","35480","0","9260","8768","32744","11504","0","40248","698","4416","-6438","0","-59036","1392","-5532","1700","0","-15180","-56698","12120","-13294","0","-301","-11962","15540","-17944","0","-4542","-22300","-2816","-31595","0","-40136","-3184","12244","14046","0","6736","9444","8890","-26420","0","38248","54188","72115","-6064","0","-19324","-14053","-5192","38883","0","-42216","-10256","928","8404","0","15000","55742","-29420","-11868","0","76540","-34922","-12132","-23184","0","13096","43570","-12328","-32815","0","12634","-17360","-17592","-7592","0","17664","28180","-9410","-24662","0","-65991","-20512","-57516","4992","0","8440","12632","-25808","15405","0","-73576","-4224","29946","17340","0","-16800","21790","11360","-41760","0","43637","4398","27938","-2784","0","10938","-4299","-16256","-37572","0","71194","30992","-18876","-4942","0","3976","87262","1632","55060","0","2663","7688","11829","-3520","0","-44032","-75033","-1504","25180","0","-22936","-19960","-16666","-17500","0","-19128","-28028","16620","-52122","0","-9971","-16436","4919","11776","0","-30002","-23813","15632","46912","0","3344","-19444","13800","-9360","0","-384","-48574","-18560","34150","0","58144","19636","-9727","2512","0","36956","-67743","-14972","-58562","0","12734","-14400","21968","18784","0","-22620","21474","48300","-33650","0","43084","19198","-24072","8232","0","-10862","-89952","-6560","26435","0","-13770","696","-76722","-25466","0","1584","25952","5584","48708","0","54684","-24032","-89902","14240","0","-15444","-34413","-5080","-1972","0","-8766","-8464","20864","-12304","0","-13520","-38900","-9920","63562","0","-32354","27288","-9871","-26204","0","28126","50717","-14032","129260","0","15984","-9944","-22690","12154","0","-2096","3682","-47624","-44060","0","-785","-36252","-24156","-14056","0","67160","-10011","9760","44158","0","16564","-7232","-42102","-47892","0","-25328","33322","35580","12700","0"],"derived":{"al":[[2,-1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.d","letter":"d","dim":2,"charpoly":["209","29","1"],"traces":["2","4","-1","8","0","-2","-28","16","-51","0","-96","-4","-51","-56","0","32","-8","-102","25","0","9","-192","94","-8","0","-102","50","-112","-320","0","-201","64","13","-16","0","-204","142","50","-107","0","-526","18","24","-384","0","188","307","-16","-284","0","209","-204","519","100","0","-224","185","-640","-365","0","-781","-402","719","128","0","26","707","-32","-32","0","164","-408","849","284","0","100","1414","-214","120","0","1222","-1052","364","36","0","48","405","-768","920","0","979","376","-382","614","0","-32","-2943","-568","2483","0","1294","418","74","-408","0","1038","-813","200","735","0","84","-448","-2746","370","0","-1280","1433","-730","-298","0","2436","-1562","283","-804","0","1438","2962","256","283","0","-2481","52","-745","1414","0","-64","-2483","-64","950","0","104","328","4303","-816","0","1698","282","568","-1610","0","1129","200","-1","2828","0","-428","-2103","240","-1242","0","-1346","2444","-1281","-2104","0","728","3642","72","3929","0","-835","96","154","810","0","-1536","1210","1840","-3290","0","-1046","1958","-87","752","0","-764","-2486","1228","-440","0","-416","-64","-5011","-5886","0","-1136","-6518","4966","-630","0","-156","2588","3990","836","0","148","-2412","-816","-3965","0","1974","2076","-247","-1626","0","400","3779","1470","618","0","-10661","168","-671","-896","0","-5492","8397","740","-6825","0","23","-2560","-5866","2866","0","-1460","-2125","-596","-2695","0","-2436","4872","-1766","-3124","0","566","-11105","-1608","-2582","0","-3391","2876","-4722","5924","0","512","-7738","566","-2298","0","7915","-4962","-6511","104","0","-1490","-1910","2828","925","0","-861","-128","1493","-4966","0","-128","-6848","1900","5608","0","-2216","208","2714","656","0","8606","7324","-1632","7016","0","1184","3396","-8186","564","0","1136","-580","-3220","-3192","0","-926","2258","-777","400","0","-2","13537","5656","-887","0","-3211","-856","6844","-4206","0","480","-9908","-2484","11930","0","3829","-2692","16095","4888","0","-2562","125","-4208","-4813","0","12249","1456","-3776","7284","0","144","842","7858","813","0","16403","-1670","13300","192","0","308","10152","1620","19310","0","5615","-3072","-7316","2420","0","3680","-2701","-6580","-4005","0","2197","-2092","2142","3916","0","-174","15447","1504","13393","0","-5301","-1528","-16191","-4972","0","2456","-4825","-880","-6235","0","-4346","-832","3104","-128","0","-10022","-907","-11772","-4990","0","854","-2272","3773","-13036","0","9932","16262","-1260","-2455","0","-11576","-312","30698","5176","0","7980","-8986","1672","410","0","-651","296","3055","-4824","0","-1632","-4035","-7930","6330","0","7449","3948","-8086","4152","0","-494","11889","-3252","5101","0","-11501","800","11774","7558","0","2940","2360","1236","15350","0","7102","-21322","-13326","336","0","-1342","-145","-1792","-15085","0","24968","-10984","-3002","16794","0","1480","13732","-13650","-10860","0","879","46","4114","-5120","0","-11732","-2558","5732","-10293","0","3509","-2920","-5282","-4250","0","-1192","-12252","-5390","-26935","0","-11836","-4872","228","9744","0","-3532","2302","-6248","6978","0","-35731","1132","21370","-22210","0","-3216","-1966","-5164","2780","0","-5936","-6782","-33851","5752","0","-9444","4793","11848","-6600","0","-13971","1024","-9645","-15476","0","1132","-18341","-4596","773","0","-12321","15830","10564","-9924","0","-13022","-38761","208","-19826","0","8280","-2980","12353","-3820","0","5656","2875","1850","11672","0","1534","-1722","-1872","-256","0","2986","40837","-9932","20393","0","15355","-256","2450","-13696","0","3800","33412","11216","-16247","0","-8457","-4432","33144","416","0","5428","-17498","1312","-10840","0","-14136","17212","6468","14648","0","-3264","427","14032","7168","0","-296","2368","-11157","6792","0","-16372","6252","1128","-40630","0","3369","2272","-5246","-1160","0","-6440","7310","-6384","-12045","0","1354","-1852","-18226","4516","0","-1554","5342","800","-4625","0","-21476","-4","3554","27074","0","11312","-3508","-1774","14460","0","1570","-6422","-9980","-1712","0","13688","-7935","-8412","12142","0","-4816","960","-8762","-19816","0","-4968","-178","23860","-4017","0","-1591","7658","7059","-5384","0","32190","-5598","9776","3135","0","5368","-5124","15114","250","0","-8416","-22692","-9626","41035","0","15624","24498","633","2912","0","-7552","-13570","14568","9308","0","44173","288","-29791","1684","0","15716","-4908","1626","41777","0","-4306","32806","174","-3340","0","26600","8640","384","38838","0","6214","616","-36787","20304","0","3240","3744","38620","-4047","0","31319","11230","14020","-6144","0","-14632","-17856","4840","8115","0","-995","7360","-12342","-5402","0","-13160","6420","-8010","-19905","0","664","4394","-7007","-4184","0","4284","-14648","7832","-27171","0","24094","-348","15239","30894","0","3008","-36701","26786","-5410","0","-1140","-10602","-32201","-3056","0","-32382","-6882","-9944","4537","0","-36336","4912","5033","-9650","0","-1760","-12998","-12470","-4","0","32644","-8692","-11275","-1664","0","6208","-45150","-256","12850","0","7199","-20044","4214","-1814","0","-23544","-1376","-9980","-4995","0","-5562","1708","-20740","-4544","0","7546","-7978","-26072","1928","0","39564","19864","45223","32524","0","-2520","57087","-4910","19887","0","-22010","-23152","-55347","-624","0","61396","-5895","10352","34610","0","20834","15960","-187","-17972","0","3344","23605","820","-26947","0","-23831","-1302","-32216","592","0","6110","-4343","-9648","36015","0","-7181","-3264","12616","-8070","0","-15860","20065","12660","4635","0","26432","14898","19308","7896","0","-16172","-40824","8304","-2772","0","7604","-988","14814","23778","0","-6504","17022","10202","-66930","0","-2627","-23002","-59206","1600","0","23548","-5148","15116","23150","0","-28496","5880","75334","4720","0","2472","20577","30700","7893","0","25764","14204","5144","-42644","0","-26652","-27988","672","-35738","0","-61386","-2684","24180","-290","0","-3584","-5014","-30170","-15125","0","-82641","49936","-3727","-21968","0","-6004","43027","33588","-32867","0","-23406","2960","16128","27464","0","-27300","29669","-21720","-12410","0","-9631","1758","4563","92","0","8228","-1037","-10240","-20680","0","7510","-23464","-4752","-5116","0","11464","66947","-20586","-4652","0","37959","7018","-24602","-5840","0","-10564","-60638","-8500","-76902","0","7114","-2384","36729","-24504","0","-10780","-12125","-53870","38547","0","53741","-23672","17309","-9744","0","456","13307","19488","-6275","0","-16286","-7064","-6180","4604","0","-12496","90837","13956","-23860","0","-19235","-71462","2289","2264","0","42740","-1966","-44420","2898","0","-83226","-6432","178","-3932","0","-10328","-49533","5560","-4510","0"],"derived":{"al":[[2,-1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.e","letter":"e","dim":4,"charpoly":["-1199","858","414","42","1"],"traces":["4","-8","-8","16","0","16","-34","-32","78","0","8","-32","-28","68","0","64","-84","-156","80","0","128","-16","-138","64","0","56","-470","-136","130","0","8","-128","-436","168","0","312","-184","-160","-1304","0","-542","-256","-368","32","0","276","-1364","-128","-878","0","-1592","-112","-728","940","0","272","160","-260","-640","0","-642","-16","-1578","256","0","872","376","-336","-4","0","-792","-624","2212","368","0","320","872","2608","1560","0","1144","1084","-198","512","0","736","1930","-64","-1110","0","-992","-552","1444","2728","0","256","1316","1756","-3064","0","-1842","3184","3952","224","0","1456","-2464","-1880","1070","0","1808","-544","-4308","-320","0","520","6444","1280","-216","0","2612","1284","8074","32","0","3156","2836","-512","1546","0","-2872","-1744","580","-752","0","672","-2444","8","-1760","0","2038","1584","-696","1248","0","-4424","86","-736","970","0","-1192","-640","5952","-1744","0","-5216","716","-3120","-904","0","758","-2288","-6818","-2168","0","396","-3004","-1024","5788","0","-3320","-1472","1692","-3860","0","128","260","2220","-5840","0","6598","1984","-3846","1104","0","-2888","592","-5456","8450","0","-4352","-512","592","-2632","0","-3512","-9924","6128","240","0","1728","3684","-2810","-6368","0","-7904","-2546","-448","4840","0","-4592","-2912","-14296","4928","0","3760","-2288","-2140","-7984","0","14168","-3616","1252","1088","0","8616","-4674","640","4570","0","2496","-1040","-15988","-12888","0","-2560","-3900","432","-40","0","5198","-5224","-10058","-2568","0","-16148","-9120","-64","11296","0","-1152","-6312","2504","-5672","0","1024","-10344","-3092","1984","0","6950","5744","-10668","3488","0","-1160","9670","1504","360","0","9248","-1344","21524","4888","0","-16","4476","3520","4016","0","15718","-4076","3312","-3168","0","1392","3802","-2496","7892","0","-11432","8848","-1708","-172","0","1472","10500","-1940","8456","0","-3292","2384","14574","1280","0","-11904","12226","3488","7096","0","-3552","10432","15752","-1432","0","6240","-3104","1808","-22680","0","14158","-1516","-1640","4576","0","13636","20870","4336","11924","0","-10352","-792","-3548","6008","0","2048","-2464","-11576","-10464","0","-14944","6640","15190","2944","0","-3384","-7854","7720","-4310","0","-34440","-256","-148","-520","0","-4440","16532","11680","3960","0","-14116","-13196","27496","-3968","0","7692","3026","-2208","-18854","0","11208","5776","-6448","-1184","0","10912","-11180","-16900","-31440","0","15558","8704","5452","1024","0","-1184","15534","5264","-6330","0","-9512","7024","20884","19848","0","-12256","14916","-480","-10480","0","-7362","-3456","4264","-7368","0","5620","-12808","12736","-12670","0","-13752","15808","-5920","5092","0","896","-11500","-9680","-9960","0","498","9184","-23638","5824","0","28592","16992","-9856","40312","0","14088","-7520","19992","4576","0","4280","-17140","15968","-30640","0","784","-28336","-19358","7232","0","-2504","28110","-2176","6360","0","-38824","-17232","-17116","9348","0","-1280","32016","-9140","-2560","0","31198","-4992","13502","2080","0","31976","-23454","25776","1444","0","11528","5120","-39796","7800","0","-864","-30456","80","13080","0","-18232","-10396","12494","10448","0","20116","-26564","5136","20836","0","-14392","32296","-9800","18240","0","128","-1108","-22592","-18280","0","638","2304","-34878","12624","0","-5008","-40936","11344","-2640","0","-17632","-2048","30860","20688","0","6184","-3788","-3968","52416","0","18638","-13900","-45568","-11488","0","21336","-30048","-6976","-7262","0","29200","2320","-39876","-19340","0","-3008","-1660","-720","-16336","0","-17402","-18496","-34386","2688","0","-43048","-9494","-9776","-47724","0","-160","32","-33300","-8952","0","-7040","-25884","-8032","26096","0","15816","-31436","23952","8152","0","-6624","-31504","6336","34430","0","-51832","-2784","-11776","-7604","0","4992","11736","-15784","-32184","0","-13742","22864","39904","-17696","0","3416","17616","344","-28680","0","59328","-2944","8952","-21000","0","3880","11360","-16912","760","0","17818","6584","-19488","-4768","0","-29148","15416","-2560","-22770","0","6568","23808","22392","-24452","0","-6976","46036","-14192","-31880","0","-33450","7104","5660","-20864","0","-31504","-38840","2864","22544","0","-15912","-12480","65684","6208","0","-3616","34256","45360","47976","0","-28542","-28316","25602","3032","0","3280","18176","-9152","-53760","0","7136","-27272","4912","-41740","0","-8672","47924","-23848","28920","0","-38622","20704","-856","1584","0","7096","-29570","-12016","3026","0","87096","-4096","2052","4928","0","23152","1496","20928","-1336","0","17888","29888","35632","-13280","0","-30380","33290","-5888","976","0","-14552","6768","34844","15708","0","-15440","-51088","8620","77736","0","1688","68880","23560","512","0","296","28552","1040","-4870","0","112440","8880","45584","-33064","0","-23360","15100","-7920","72200","0","-23092","28232","-19346","26392","0","-54992","28276","7936","36198","0","48","-15384","-32708","-6052","0","4416","25272","37708","-17080","0","52600","-22416","36112","-11552","0","12896","33414","2368","48084","0","71568","-21824","-66696","22360","0","33800","36436","62880","92272","0","-32722","-31116","19210","-17408","0","-10904","67640","-2048","7130","0","-6472","2368","46512","-31068","0","-10528","-49568","12660","-14800","0","14296","19024","-5980","-14048","0","-41768","13216","-39696","54266","0","42928","24512","-12216","-29832","0","960","53556","20960","59464","0","-5320","14724","20984","6912","0","-8528","-75360","14736","-88910","0","-26352","-11240","-7456","25616","0","-25472","-55600","25340","-109704","0","62478","27504","-55688","-31616","0","11840","33456","-10184","-7810","0","11608","-1792","36948","23000","0","19360","-83660","19920","47200","0","-13126","-996","-35386","-18368","0","47276","-10242","-11648","-28744","0","-71112","-57184","10672","-33984","0","19712","7956","-80624","-4640","0","-98874","-28176","-1498","15040","0","-39984","48736","-9152","-114600","0","-29472","-8560","-2388","34280","0","-31936","2256","61280","5216","0","7958","-1568","-55838","56672","0","38716","-2374","-14464","-2716","0","6248","5008","-6520","-56220","0","4352","-19732","-12720","24480","0","26368","77648","13904","34464","0","34232","-36834","-18696","-124304","0","82968","2560","-131296","-64032","0","18280","58932","5120","48040","0","-73252","-62396","131584","9984","0","-27004","5064","-4160","-17430","0","-44880","-63952","-51636","46908","0","-51552","-58504","-2888","-71344","0","-152272","-23056","2914","-10240","0","79592","-624","-15600","-3504","0","100688","1728","-5368","60912","0","-160","-114960","-26160","18504","0","-12668","36464","-199118","20792","0","-24988","-111084","-20896","-23840","0","-45632","-40232","6100","53128","0","-10272","-37204","-41672","-86920","0","-136850","28784","6072","-64592","0","19600","-55468","-36480","46656","0","87128","-256","-81716","2216","0","45184","-81724","36560","123040","0"],"derived":{"al":[[2,1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.f","letter":"f","dim":4,"charpoly":["-107129","-27582","-1261","12","1"],"traces":["4","-8","-3","16","0","6","-9","-32","43","0","63","-12","-108","18","0","64","-44","-86","170","0","203","-126","-143","24","0","216","-90","-36","450","0","33","-128","529","88","0","172","-19","-340","441","0","513","-406","812","252","0","286","1696","-48","737","0","1493","-432","502","180","0","72","1115","-900","900","0","-317","-66","1362","256","0","-1058","-59","-176","-1744","0","998","-344","-933","38","0","680","-288","-882","-1640","0","-1916","-1026","1772","812","0","-1624","985","-504","-35","0","-3677","-572","-166","-3392","0","96","1911","-1474","-834","0","1978","-2986","-1673","864","0","-1004","1881","-360","-3745","0","-4782","-144","1012","-2230","0","1800","-5376","-1800","1854","0","-1383","634","1569","132","0","-2724","-4394","-512","-4269","0","-222","2116","-1530","118","0","352","-799","3488","305","0","568","-1996","1764","688","0","1866","9636","-76","680","0","-1567","-1360","-2213","576","0","1764","841","3280","-4004","0","18","3832","2087","2052","0","-3544","-1929","-1624","5598","0","-1030","3248","-6083","-1970","0","1008","-7980","70","3205","0","1768","7354","3449","1144","0","332","5422","6784","860","0","8988","-192","-5653","-3822","0","2948","4766","1668","1880","0","-2092","-3956","1830","5972","0","3346","3199","-1728","7535","0","7573","2008","-1531","-3762","0","720","-16373","7490","6466","0","4983","9564","-203","288","0","-2024","-7029","4460","-3795","0","6601","-3600","-5458","10752","0","3600","-11665","-3708","13255","0","1903","2766","4152","-1268","0","-3138","5645","-264","7546","0","7893","5448","-12301","8788","0","1024","-2984","8538","-12221","0","8085","444","-2348","-4232","0","3060","270","-236","14135","0","-8107","-704","-21001","1598","0","-6976","-14319","-610","-17274","0","-107","-1136","8402","3992","0","-3528","4207","-1376","-4298","0","-2052","-3732","-5503","-19272","0","152","-2420","-1360","-5029","0","-11682","3134","-2161","2720","0","4426","5151","-1152","-13039","0","3963","-3528","8572","-1682","0","-6560","-7079","8008","5840","0","-30647","-36","8715","-7664","0","-4174","7305","-4104","579","0","-22747","7088","-3013","3858","0","3248","9866","-11196","-16979","0","13461","2060","12870","-6496","0","12166","6216","3940","-16750","0","-4965","-2016","1172","15960","0","-140","12547","-6410","2005","0","1094","-3536","11086","-14708","0","-6898","25871","-2288","1956","0","-5012","-664","10582","-10844","0","-13568","-9255","-1720","-5630","0","-17922","-17976","77","384","0","11306","9269","7644","20350","0","-19342","-5896","-9511","-9532","0","-3336","2121","-3760","-2695","0","12533","4184","35264","7912","0","-3660","-12678","-11944","-23465","0","-7367","-6692","-190","-6398","0","3456","4985","-15070","10690","0","7723","-15146","19147","-4016","0","3062","51847","7524","-24693","0","15123","-1440","13212","32746","0","-14980","-15710","-12932","-1160","0","-3601","-9966","-8358","-19128","0","406","-46085","-576","7800","0","21326","4048","-3606","14058","0","-8920","-11114","7590","-2980","0","7283","-13202","-9238","7200","0","10916","26796","-21504","9599","0","7053","-7200","-1626","23330","0","7416","6319","-26510","3205","0","1858","-3806","-28986","-5532","0","-8304","20361","2536","5966","0","15098","6276","-230","-11290","0","528","-32968","-15092","31625","0","13398","-15786","-8888","-10896","0","24602","449","-17576","27770","0","-29727","-2048","-28585","5968","0","-17076","31422","24442","17231","0","30108","-16170","61782","-888","0","4696","7467","8464","-5657","0","24345","-6120","-18631","-540","0","472","2705","-28270","52444","0","16738","16214","5564","1408","0","42002","-3309","-3196","41641","0","57635","13952","15380","28638","0","1220","-17929","34548","-17619","0","1671","214","6922","2272","0","-16804","-16959","-7984","-975","0","25903","7056","-5936","-8414","0","2752","55111","8596","-4204","0","-2612","4104","-1141","7464","0","11006","-29824","38544","-2770","0","-23167","-304","6282","4840","0","2720","-38850","10058","-9855","0","-26237","23364","18892","-6268","0","4322","-8719","-5440","-8045","0","-45487","-8852","21487","-10302","0","2304","50466","26078","-2955","0","-5230","-7926","-49690","7056","0","-17144","39215","3364","-41746","0","-8522","13120","27564","14158","0","-16016","9416","-11680","-17779","0","20368","61294","12817","72","0","-17430","-51919","15328","-15745","0","-20524","8348","-1963","-14610","0","8208","-49026","-1158","-41970","0","-8192","45494","-89811","-14176","0","6026","8360","-7716","32516","0","-25729","-6496","43107","-19732","0","22392","27721","33958","25219","0","-21662","-26922","-16118","-4120","0","-25740","-82340","12992","-26684","0","-18222","-24332","45339","-12432","0","-7880","23152","33500","-10679","0","-59507","9930","-48135","4032","0","-2344","2642","-31920","-9175","0","27625","280","-55696","-25094","0","12820","-280","-4010","-22835","0","-33492","-2188","-66871","7072","0","-22172","-49569","29416","-15377","0","-48202","13796","11292","-51742","0","4576","-26143","-3912","11165","0","-5750","10024","-60298","1328","0","-21164","-3826","21688","-78441","0","31768","27136","14049","18510","0","3440","5411","11260","-6398","0","8493","35844","40165","35952","0","-154","-71160","-768","-25355","0","24623","-22612","-46578","-18538","0","-15288","-39828","-40700","-1400","0","31726","38684","-82820","11792","0","19022","14916","19064","-30694","0","-84062","6672","-92331","-4242","0","7520","1666","5390","-2801","0","-46445","-25066","24239","-8368","0","-70528","-63155","-15824","78965","0","-3977","7320","28909","25356","0","23888","25225","46930","-28799","0","-41227","14734","6987","13384","0","380","10331","12796","34835","0","59623","-6912","92608","-9970","0","30140","47465","-21380","-49285","0","92514","-15446","57024","30292","0","-38294","6508","8032","73556","0","31258","-6124","-43683","-103694","0","-15048","64986","49386","36705","0","110421","-30246","-12553","2880","0","-26424","-30934","-65492","-102460","0","-28742","29960","45612","31420","0","25864","-39504","2320","116521","0","-53447","7202","58112","19932","0","16716","-8849","38256","-14266","0","-25887","-812","91670","92170","0","1152","109648","-15600","-127245","0","-33577","-42652","-32171","-8096","0","7212","48501","-28116","47761","0","-46012","17840","76284","22228","0","-15180","-35533","5960","22520","0","37193","-14566","40739","26404","0","18476","-36716","-14400","26165","0","117605","-21832","-42576","-53592","0","43008","18031","-19198","48836","0","61003","-14106","-87386","14400","0","3252","25526","-46660","135036","0","77498","-14832","59077","-12638","0","53020","142015","-6410","38899","0","136547","-3716","18147","7612","0","57972","-34264","11064","33765","0","3403","16608","90330","-40722","0","-5072","28961","-11932","26705","0","-38875","-30196","-77618","-12552","0","460","98192","22580","29186","0","12698","-1056","14274","65936","0","30184","76236","-63250","58470","0"],"derived":{"al":[[2,1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.g","letter":"g","dim":4,"charpoly":["-107129","27582","-1261","-12","1"],"traces":["4","8","3","16","0","6","9","32","43","0","63","12","108","18","0","64","44","86","170","0","203","126","143","24","0","216","90","36","450","0","33","128","-529","88","0","172","19","340","441","0","513","406","-812","252","0","286","-1696","48","737","0","1493","432","-502","180","0","72","-1115","900","900","0","-317","66","-1362","256","0","-1058","59","176","-1744","0","998","344","933","38","0","680","288","882","-1640","0","-1916","1026","-1772","812","0","-1624","-985","504","-35","0","-3677","572","166","-3392","0","96","-1911","1474","-834","0","1978","2986","1673","864","0","-1004","-1881","360","-3745","0","-4782","144","-1012","-2230","0","1800","5376","1800","1854","0","-1383","-634","-1569","132","0","-2724","4394","512","-4269","0","-222","-2116","1530","118","0","352","799","-3488","305","0","568","1996","-1764","688","0","1866","-9636","76","680","0","-1567","1360","2213","576","0","1764","-841","-3280","-4004","0","18","-3832","-2087","2052","0","-3544","1929","1624","5598","0","-1030","-3248","6083","-1970","0","1008","7980","-70","3205","0","1768","-7354","-3449","1144","0","332","-5422","-6784","860","0","8988","192","5653","-3822","0","2948","-4766","-1668","1880","0","-2092","3956","-1830","5972","0","3346","-3199","1728","7535","0","7573","-2008","1531","-3762","0","720","16373","-7490","6466","0","4983","-9564","203","288","0","-2024","7029","-4460","-3795","0","6601","3600","5458","10752","0","3600","11665","3708","13255","0","1903","-2766","-4152","-1268","0","-3138","-5645","264","7546","0","7893","-5448","12301","8788","0","1024","2984","-8538","-12221","0","8085","-444","2348","-4232","0","3060","-270","236","14135","0","-8107","704","21001","1598","0","-6976","14319","610","-17274","0","-107","1136","-8402","3992","0","-3528","-4207","1376","-4298","0","-2052","3732","5503","-19272","0","152","2420","1360","-5029","0","-11682","-3134","2161","2720","0","4426","-5151","1152","-13039","0","3963","3528","-8572","-1682","0","-6560","7079","-8008","5840","0","-30647","36","-8715","-7664","0","-4174","-7305","4104","579","0","-22747","-7088","3013","3858","0","3248","-9866","11196","-16979","0","13461","-2060","-12870","-6496","0","12166","-6216","-3940","-16750","0","-4965","2016","-1172","15960","0","-140","-12547","6410","2005","0","1094","3536","-11086","-14708","0","-6898","-25871","2288","1956","0","-5012","664","-10582","-10844","0","-13568","9255","1720","-5630","0","-17922","17976","-77","384","0","11306","-9269","-7644","20350","0","-19342","5896","9511","-9532","0","-3336","-2121","3760","-2695","0","12533","-4184","-35264","7912","0","-3660","12678","11944","-23465","0","-7367","6692","190","-6398","0","3456","-4985","15070","10690","0","7723","15146","-19147","-4016","0","3062","-51847","-7524","-24693","0","15123","1440","-13212","32746","0","-14980","15710","12932","-1160","0","-3601","9966","8358","-19128","0","406","46085","576","7800","0","21326","-4048","3606","14058","0","-8920","11114","-7590","-2980","0","7283","13202","9238","7200","0","10916","-26796","21504","9599","0","7053","7200","1626","23330","0","7416","-6319","26510","3205","0","1858","3806","28986","-5532","0","-8304","-20361","-2536","5966","0","15098","-6276","230","-11290","0","528","32968","15092","31625","0","13398","15786","8888","-10896","0","24602","-449","17576","27770","0","-29727","2048","28585","5968","0","-17076","-31422","-24442","17231","0","30108","16170","-61782","-888","0","4696","-7467","-8464","-5657","0","24345","6120","18631","-540","0","472","-2705","28270","52444","0","16738","-16214","-5564","1408","0","42002","3309","3196","41641","0","57635","-13952","-15380","28638","0","1220","17929","-34548","-17619","0","1671","-214","-6922","2272","0","-16804","16959","7984","-975","0","25903","-7056","5936","-8414","0","2752","-55111","-8596","-4204","0","-2612","-4104","1141","7464","0","11006","29824","-38544","-2770","0","-23167","304","-6282","4840","0","2720","38850","-10058","-9855","0","-26237","-23364","-18892","-6268","0","4322","8719","5440","-8045","0","-45487","8852","-21487","-10302","0","2304","-50466","-26078","-2955","0","-5230","7926","49690","7056","0","-17144","-39215","-3364","-41746","0","-8522","-13120","-27564","14158","0","-16016","-9416","11680","-17779","0","20368","-61294","-12817","72","0","-17430","51919","-15328","-15745","0","-20524","-8348","1963","-14610","0","8208","49026","1158","-41970","0","-8192","-45494","89811","-14176","0","6026","-8360","7716","32516","0","-25729","6496","-43107","-19732","0","22392","-27721","-33958","25219","0","-21662","26922","16118","-4120","0","-25740","82340","-12992","-26684","0","-18222","24332","-45339","-12432","0","-7880","-23152","-33500","-10679","0","-59507","-9930","48135","4032","0","-2344","-2642","31920","-9175","0","27625","-280","55696","-25094","0","12820","280","4010","-22835","0","-33492","2188","66871","7072","0","-22172","49569","-29416","-15377","0","-48202","-13796","-11292","-51742","0","4576","26143","3912","11165","0","-5750","-10024","60298","1328","0","-21164","3826","-21688","-78441","0","31768","-27136","-14049","18510","0","3440","-5411","-11260","-6398","0","8493","-35844","-40165","35952","0","-154","71160","768","-25355","0","24623","22612","46578","-18538","0","-15288","39828","40700","-1400","0","31726","-38684","82820","11792","0","19022","-14916","-19064","-30694","0","-84062","-6672","92331","-4242","0","7520","-1666","-5390","-2801","0","-46445","25066","-24239","-8368","0","-70528","63155","15824","78965","0","-3977","-7320","-28909","25356","0","23888","-25225","-46930","-28799","0","-41227","-14734","-6987","13384","0","380","-10331","-12796","34835","0","59623","6912","-92608","-9970","0","30140","-47465","21380","-49285","0","92514","15446","-57024","30292","0","-38294","-6508","-8032","73556","0","31258","6124","43683","-103694","0","-15048","-64986","-49386","36705","0","110421","30246","12553","2880","0","-26424","30934","65492","-102460","0","-28742","-29960","-45612","31420","0","25864","39504","-2320","116521","0","-53447","-7202","-58112","19932","0","16716","8849","-38256","-14266","0","-25887","812","-91670","92170","0","1152","-109648","15600","-127245","0","-33577","42652","32171","-8096","0","7212","-48501","28116","47761","0","-46012","-17840","-76284","22228","0","-15180","35533","-5960","22520","0","37193","14566","-40739","26404","0","18476","36716","14400","26165","0","117605","21832","42576","-53592","0","43008","-18031","19198","48836","0","61003","14106","87386","14400","0","3252","-25526","46660","135036","0","77498","14832","-59077","-12638","0","53020","-142015","6410","38899","0","136547","3716","-18147","7612","0","57972","34264","-11064","33765","0","3403","-16608","-90330","-40722","0","-5072","-28961","11932","26705","0","-38875","30196","77618","-12552","0","460","-98192","-22580","29186","0","12698","1056","-14274","65936","0","30184","-76236","63250","58470","0"],"derived":{"al":[[2,-1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"250.4.a.h","letter":"h","dim":4,"charpoly":["-1199","-858","414","-42","1"],"traces":["4","8","8","16","0","16","34","32","78","0","8","32","28","68","0","64","84","156","80","0","128","16","138","64","0","56","470","136","130","0","8","128","436","168","0","312","184","160","-1304","0","-542","256","368","32","0","276","1364","128","-878","0","-1592","112","728","940","0","272","-160","260","-640","0","-642","16","1578","256","0","872","-376","336","-4","0","-792","624","-2212","368","0","320","-872","-2608","1560","0","1144","-1084","198","512","0","736","-1930","64","-1110","0","-992","552","-1444","2728","0","256","-1316","-1756","-3064","0","-1842","-3184","-3952","224","0","1456","2464","1880","1070","0","1808","544","4308","-320","0","520","-6444","-1280","-216","0","2612","-1284","-8074","32","0","3156","-2836","512","1546","0","-2872","1744","-580","-752","0","672","2444","-8","-1760","0","2038","-1584","696","1248","0","-4424","-86","736","970","0","-1192","640","-5952","-1744","0","-5216","-716","3120","-904","0","758","2288","6818","-2168","0","396","3004","1024","5788","0","-3320","1472","-1692","-3860","0","128","-260","-2220","-5840","0","6598","-1984","3846","1104","0","-2888","-592","5456","8450","0","-4352","512","-592","-2632","0","-3512","9924","-6128","240","0","1728","-3684","2810","-6368","0","-7904","2546","448","4840","0","-4592","2912","14296","4928","0","3760","2288","2140","-7984","0","14168","3616","-1252","1088","0","8616","4674","-640","4570","0","2496","1040","15988","-12888","0","-2560","3900","-432","-40","0","5198","5224","10058","-2568","0","-16148","9120","64","11296","0","-1152","6312","-2504","-5672","0","1024","10344","3092","1984","0","6950","-5744","10668","3488","0","-1160","-9670","-1504","360","0","9248","1344","-21524","4888","0","-16","-4476","-3520","4016","0","15718","4076","-3312","-3168","0","1392","-3802","2496","7892","0","-11432","-8848","1708","-172","0","1472","-10500","1940","8456","0","-3292","-2384","-14574","1280","0","-11904","-12226","-3488","7096","0","-3552","-10432","-15752","-1432","0","6240","3104","-1808","-22680","0","14158","1516","1640","4576","0","13636","-20870","-4336","11924","0","-10352","792","3548","6008","0","2048","2464","11576","-10464","0","-14944","-6640","-15190","2944","0","-3384","7854","-7720","-4310","0","-34440","256","148","-520","0","-4440","-16532","-11680","3960","0","-14116","13196","-27496","-3968","0","7692","-3026","2208","-18854","0","11208","-5776","6448","-1184","0","10912","11180","16900","-31440","0","15558","-8704","-5452","1024","0","-1184","-15534","-5264","-6330","0","-9512","-7024","-20884","19848","0","-12256","-14916","480","-10480","0","-7362","3456","-4264","-7368","0","5620","12808","-12736","-12670","0","-13752","-15808","5920","5092","0","896","11500","9680","-9960","0","498","-9184","23638","5824","0","28592","-16992","9856","40312","0","14088","7520","-19992","4576","0","4280","17140","-15968","-30640","0","784","28336","19358","7232","0","-2504","-28110","2176","6360","0","-38824","17232","17116","9348","0","-1280","-32016","9140","-2560","0","31198","4992","-13502","2080","0","31976","23454","-25776","1444","0","11528","-5120","39796","7800","0","-864","30456","-80","13080","0","-18232","10396","-12494","10448","0","20116","26564","-5136","20836","0","-14392","-32296","9800","18240","0","128","1108","22592","-18280","0","638","-2304","34878","12624","0","-5008","40936","-11344","-2640","0","-17632","2048","-30860","20688","0","6184","3788","3968","52416","0","18638","13900","45568","-11488","0","21336","30048","6976","-7262","0","29200","-2320","39876","-19340","0","-3008","1660","720","-16336","0","-17402","18496","34386","2688","0","-43048","9494","9776","-47724","0","-160","-32","33300","-8952","0","-7040","25884","8032","26096","0","15816","31436","-23952","8152","0","-6624","31504","-6336","34430","0","-51832","2784","11776","-7604","0","4992","-11736","15784","-32184","0","-13742","-22864","-39904","-17696","0","3416","-17616","-344","-28680","0","59328","2944","-8952","-21000","0","3880","-11360","16912","760","0","17818","-6584","19488","-4768","0","-29148","-15416","2560","-22770","0","6568","-23808","-22392","-24452","0","-6976","-46036","14192","-31880","0","-33450","-7104","-5660","-20864","0","-31504","38840","-2864","22544","0","-15912","12480","-65684","6208","0","-3616","-34256","-45360","47976","0","-28542","28316","-25602","3032","0","3280","-18176","9152","-53760","0","7136","27272","-4912","-41740","0","-8672","-47924","23848","28920","0","-38622","-20704","856","1584","0","7096","29570","12016","3026","0","87096","4096","-2052","4928","0","23152","-1496","-20928","-1336","0","17888","-29888","-35632","-13280","0","-30380","-33290","5888","976","0","-14552","-6768","-34844","15708","0","-15440","51088","-8620","77736","0","1688","-68880","-23560","512","0","296","-28552","-1040","-4870","0","112440","-8880","-45584","-33064","0","-23360","-15100","7920","72200","0","-23092","-28232","19346","26392","0","-54992","-28276","-7936","36198","0","48","15384","32708","-6052","0","4416","-25272","-37708","-17080","0","52600","22416","-36112","-11552","0","12896","-33414","-2368","48084","0","71568","21824","66696","22360","0","33800","-36436","-62880","92272","0","-32722","31116","-19210","-17408","0","-10904","-67640","2048","7130","0","-6472","-2368","-46512","-31068","0","-10528","49568","-12660","-14800","0","14296","-19024","5980","-14048","0","-41768","-13216","39696","54266","0","42928","-24512","12216","-29832","0","960","-53556","-20960","59464","0","-5320","-14724","-20984","6912","0","-8528","75360","-14736","-88910","0","-26352","11240","7456","25616","0","-25472","55600","-25340","-109704","0","62478","-27504","55688","-31616","0","11840","-33456","10184","-7810","0","11608","1792","-36948","23000","0","19360","83660","-19920","47200","0","-13126","996","35386","-18368","0","47276","10242","11648","-28744","0","-71112","57184","-10672","-33984","0","19712","-7956","80624","-4640","0","-98874","28176","1498","15040","0","-39984","-48736","9152","-114600","0","-29472","8560","2388","34280","0","-31936","-2256","-61280","5216","0","7958","1568","55838","56672","0","38716","2374","14464","-2716","0","6248","-5008","6520","-56220","0","4352","19732","12720","24480","0","26368","-77648","-13904","34464","0","34232","36834","18696","-124304","0","82968","-2560","131296","-64032","0","18280","-58932","-5120","48040","0","-73252","62396","-131584","9984","0","-27004","-5064","4160","-17430","0","-44880","63952","51636","46908","0","-51552","58504","2888","-71344","0","-152272","23056","-2914","-10240","0","79592","624","15600","-3504","0","100688","-1728","5368","60912","0","-160","114960","26160","18504","0","-12668","-36464","199118","20792","0","-24988","111084","20896","-23840","0","-45632","40232","-6100","53128","0","-10272","37204","41672","-86920","0","-136850","-28784","-6072","-64592","0","19600","55468","36480","46656","0","87128","256","81716","2216","0","45184","81724","-36560","123040","0"],"derived":{"al":[[2,-1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.19,"computed":"atlas","estimate":{"seconds":0.875,"low":0.534,"high":1.514,"bytes":2330182},"url":"https://sagebrush.space/atlas/mf/250.4.a"}