{"label":"138.4.a.f","letter":"f","dim":3,"charpoly":["61992","-2084","-50","1"],"traces":["3","6","9","12","20","18","10","24","27","40","20","36","-2","20","60","48","32","54","-26","80","30","40","-69","72","89","-4","81","40","-50","120","12","96","60","64","-400","108","-90","-52","-6","160","-466","60","-274","80","180","-138","-680","144","-73","178","96","-8","-408","162","152","80","-78","-100","-1244","240","-130","24","90","192","-1336","120","450","128","-207","-800","-1512","216","710","-180","267","-104","-1280","-12","478","320","243","-932","-1092","120","1304","-548","-150","160","-372","360","1860","-276","36","-1360","-2488","288","2106","-146","180","356","1010","192","1886","-16","-1200","-816","-84","324","4546","304","-270","160","1468","-156","-460","-200","-18","-2488","944","480","2743","-260","-1398","48","4200","180","1348","384","-822","-2672","1020","240","3180","900","540","256","5588","-414","860","-1600","-2040","-3024","-88","432","2776","1420","-219","-360","5220","534","-2792","-208","288","-2560","3040","-24","814","956","-1224","640","-230","486","-4264","-1864","456","-2184","1840","240","-1299","2608","-234","-1096","4798","-300","-9906","320","-3732","-744","-868","720","2130","3720","-390","-552","-1712","72","-11608","-2720","270","-4976","-1204","576","-3574","4212","-4008","-292","3062","360","-3826","712","1350","2020","-9308","384","-6952","3772","-621","-32","-304","-2400","-5856","-1632","-4536","-168","-11496","648","1672","9092","2130","608","-4384","-540","-8000","320","801","2936","4832","-312","11386","-920","-3840","-400","-9314","-36","-4304","-4976","1434","1888","3336","960","3314","5486","729","-520","2900","-2796","9276","96","-3276","8400","-2016","360","-460","2696","3912","768","-1634","-1644","-4276","-5344","-450","2040","10044","480","13872","6360","-1116","1800","-1122","1080","6540","512","5580","11176","8860","-828","10090","1720","108","-3200","4036","-4080","306","-6048","-7464","-176","13908","864","10589","5552","6318","2840","2200","-438","-11216","-720","540","10440","46","1068","9036","-5584","3030","-416","-17184","576","-1920","-5120","5658","6080","8056","-48","-16618","1628","-3600","1912","8382","-2448","23608","1280","-252","-460","-7912","972","-24486","-8528","13638","-3728","-9456","912","-17544","-4368","-810","3680","19048","480","8322","-2598","4404","5216","-28800","-468","-4756","-2192","-1380","9596","8252","-600","1702","-19812","-54","640","-27350","-7464","-9264","-1488","2832","-1736","-12036","1440","-4149","4260","8229","7440","5352","-780","2078","-1104","-4194","-3424","-24248","144","14134","-23216","12600","-5440","-12404","540","2126","-9952","4044","-2408","7436","1152","-16208","-7148","-2466","8424","19024","-8016","-736","-584","3060","6124","-13456","720","-110","-7652","9540","1424","-10792","2700","-11848","4040","1620","-18616","27064","768","29042","-13904","16764","7544","-8472","-1242","14568","-64","2580","-608","11244","-4800","-9462","-11712","-6120","-3264","6832","-9072","26028","-336","-264","-22992","14640","1296","-11194","3344","8328","18184","598","4260","3200","1216","-657","-8768","628","-1080","-3288","-16000","15660","640","-1594","1602","-53496","5872","-8376","9664","24224","-624","31186","22772","864","-1840","-12282","-7680","-24960","-800","9120","-18628","4480","-72","-19564","-8608","2442","-9952","16112","2868","-43518","3776","-3672","6672","-19424","1920","4508","6628","-690","10972","9880","1458","23968","-1040","-12792","5800","-33172","-5592","-33056","18552","1368","192","-7776","-6552","13048","16800","5520","-4032","29456","720","1208","-920","-3897","5392","-19290","7824","-4844","1536","-702","-3268","22560","-3288","29808","-8552","14394","-10688","-22740","-900","-35342","4080","-29718","20088","62176","960","1587","27744","-11196","12720","15692","-2232","5640","3600","-2604","-2244","-18780","2160","-8282","13080","6390","1024","46976","11160","15744","22352","-1170","17720","-21332","-1656","37492","20180","-5136","3440","39824","216","38860","-6400","-34824","8072","15280","-8160","19624","612","810","-12096","112","-14928","-694","-352","-3612","27816","-2047","1728","-1606","21178","-10722","11104","-26816","12636","-4424","5680","-12024","4400","36452","-876","-20824","-22432","9186","-1440","-12610","1080","-256","20880","-11478","92","11488","2136","-49182","18072","4050","-11168","-14460","6060","28168","-832","-27924","-34368","-464","1152","-20242","-3840","-20856","-10240","-34380","11316","-24478","12160","-1863","16112","14952","-96","66923","-33236","-912","3256","-54536","-7200","-44354","3824","-17568","16764","-38080","-4896","-13498","47216","-13608","2560","-3376","-504","-8282","-920","-34488","-15824","2336","1944","33792","-48972","5016","-17056","7930","27276","27456","-7456","6390","-18912","-28928","1824","-56362","-35088","-13152","-8736","45392","-1620","1150","7360","-24000","38096","-18952","960","-36942","16644","2403","-5196","-29948","8808","17116","10432","14496","-57600","63244","-936","21848","-9512","34158","-4384","-66096","-2760","3144","19192","-11520","16504","23952","-1200","72656","3404","-27942","-39624","-33396","-108","8564","1280","-12912","-54700","9052","-14928","16826","-18528","4302","-2976","-276","5664","-41488","-3472","10008","-24072","11352","2880","-26556","-8298","9942","8520","84458","16458","-55390","14880","2187","10704","-68088","-1560","19002","4156","8700","-2208","-4016","-8388","-29204","-6848","27828","-48496","42228","288","23376","28268","-9828","-46432","-17216","25200","34890","-10880","-6048","-24808","-46336","1080","1266","4252","-1380","-19904","-9342","8088","-8636","-4816","11736","14872","12520","2304","12782","-32416","-4902","-14296","-3260","-4932","20164","16848","-12828","38048","30956","-16032","-2112","-1472","-1350","-1168","-17200","6120","22854","12248","30132","-26912","-17176","1440","65356","-220","41616","-15304","40080","19080","-68288","2848","-3348","-21584","36456","5400","9200","-23696","-3366","8080","1442","3240","17136","-37232","19620","54128","-19104","1536","70060","58084","16740","-27808","39722","33528","69228","15088","26580","-16944","-58104","-2484","41574","29136","30270","-128","43664","5160","89104","-1216","324","22488","-40780","-9600","42461","-18924","12108","-23424","20268","-12240","70146","-6528","918","13664","2070","-18144","-23558","52056","-22392","-672","3366","-528","18612","-45984","41724","29280","92696","2592","13336","-22388","31767","6688","-59808","16656","-64492","36368","18954","1196","-88320","8520","25770","6400","6600","2432","-21476","-1314","-1656","-17536","-33648","1256","-6696","-2160","78840","-6576","1620","-32000","4288","31320","-37216","1280","138","-3188","-76936","3204","55128","-106992","27108","11744","6592","-16752","-13830","19328","9090","48448","-65144","-1248","-44336","62372","-51552","45544","-27336","1728","21782","-3680","-5760","-24564","-2256","-15360","10066","-49920","16974","-1600","-9994","18240","-23074","-37256","24168","8960","16736","-144","-98602","-39128","-49854","-17216","17420","4884","10718","-19904","-10800","32224","-66020","5736","-2948","-87036","25146","7552","-9928","-7344","-34192","13344","70824","-38848","40104","3840","64979","9016","-756","13256","-84216","-1380","33356","21944","-23736","19760","-65648","2916","-1720","47936","-73458","-2080","-7348","-25584","-77784","11600","40914","-66344","20976","-11184","105992","-66112","-28368","37104","6302","2736","-22604","384","-52632","-15552","73200","-13104","-48418","26096","-2430","33600"],"space":"138.4.a","level":138,"weight":4,"T":[[5,1],[7,3]],"status":"proven","derived":{"al":[[2,-1],[3,-1],[23,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/138.4.a.f"}