{"label":"78.4.a.e","letter":"e","dim":1,"charpoly":["24","1"],"traces":["1","2","-3","4","6","-6","20","8","9","12","24","-12","13","40","-18","16","-30","18","-16","24","-60","48","-72","-24","-89","26","-27","80","-282","-36","164","32","-72","-60","120","36","110","-32","-39","48","-126","-120","164","96","54","-144","-204","-48","57","-178","90","52","-738","-54","144","160","48","-564","120","-72","614","328","180","64","78","-144","848","-120","216","240","132","72","218","220","267","-64","480","-78","-1096","96","81","-252","552","-240","-180","328","846","192","210","108","260","-288","-492","-408","-96","-96","-1726","114","216","-356","798","180","-520","104","-360","-1476","12","-108","-1834","288","-330","320","-366","96","-432","-1128","117","240","-600","-144","-755","1228","378","656","-1284","360","2144","128","-492","156","-2748","-288","-320","1696","-162","-240","2754","432","2252","480","612","264","312","144","-1692","436","-171","440","-1770","534","-988","-128","-270","960","984","-156","326","-2192","2214","192","-1440","162","1496","-504","-432","1104","1116","-480","169","-360","-144","656","4374","1692","-1780","384","-360","420","12","216","4718","520","-1842","-576","660","-984","-720","-816","-540","-192","-1368","-192","-3310","-3452","-234","228","3126","432","4664","-712","-2544","1596","-5640","360","-756","-1040","-648","208","-384","-720","-556","-2952","-396","24","984","-216","3280","-3668","-654","576","-390","-660","-268","640","-801","-732","1800","192","2990","-864","-1440","-2256","2826","234","-1224","480","3288","-1200","-1812","-288","-1582","-1510","-243","2456","342","756","-208","1312","-1656","-2568","2148","720","-1728","4288","540","256","-558","-984","2200","312","-2538","-5496","2112","-576","-4428","-640","-630","3392","5046","-324","-3796","-480","-780","5508","-2136","864","5582","4504","1476","960","-1950","1224","-4732","528","288","624","-2520","288","-4013","-3384","5178","872","4998","-342","720","880","-648","-3540","-936","1068","3280","-1976","-2394","-256","3684","-540","6824","1920","1560","1968","-8760","-312","3962","652","1080","-4384","7086","4428","-6768","384","-36","-2880","480","324","-1157","2992","5502","-1008","-4080","-864","-9016","2208","990","2232","5088","-960","2306","338","1098","-720","3936","-288","-5720","1312","1296","8748","-11076","3384","2342","-3560","-351","768","4650","-720","792","840","1800","24","-11268","432","-6603","9436","2265","1040","1308","-3684","-7288","-1152","-1134","1320","-14760","-1968","-9970","-1440","3852","-1632","-3666","-1080","13448","-384","-6432","-2736","11820","-384","2880","-6620","1476","-6904","174","-468","2160","456","8244","6252","-6576","864","-2986","9328","960","-1424","-10566","-5088","2132","3192","486","-11280","2640","720","-7270","-1512","-8262","-2080","2400","-1296","3312","416","-6756","-768","-7308","-1440","-5938","-1112","-1836","-5904","2670","-792","12280","48","-936","1968","11532","-432","-718","6560","5076","-7336","1152","-1308","8984","1152","513","-780","2604","-1320","1260","-536","5310","1280","-13206","-1602","-3024","-1464","2964","3600","1560","384","8426","5980","810","-1728","16686","-2880","15932","-4512","-2952","5652","18540","468","16960","-2448","-978","960","3936","6576","1424","-2400","-6642","-3624","6180","-576","1430","-3164","4320","-3020","-10356","-486","11756","4912","-4488","684","1908","1512","8460","-416","1296","2624","2640","-3312","-8944","-5136","-3348","4296","-6528","1440","4788","-3456","-507","8576","-12114","1080","4360","512","432","-1116","-3120","-1968","-4896","4400","-13122","624","-14310","-5076","-18340","-10992","5340","4224","-4920","-1152","-6983","-8856","1080","-1280","-1638","-1260","72","6784","-36","10092","1368","-648","9254","-7592","-14154","-960","-11004","-1560","17444","11016","5526","-4272","4512","1728","-21920","11164","-1980","9008","-3714","2952","2132","1920","2160","-3900","-13812","2448","-2196","-9464","1620","1056","-15942","576","1604","1248","4104","-5040","6408","576","-10654","-8026","9930","-6768","11040","10356","-17712","1744","702","9996","-9984","-684","-2624","1440","-9378","1760","12618","-1296","-3600","-7080","-13992","-1872","11184","2136","2810","6560","7632","-3952","-4530","-4788","1064","-512","16920","7368","-2652","-1080","-20914","13648","2268","3840","9714","3120","-14848","3936","1944","-17520","4200","-624","3421","7924","1152","1304","-3300","2160","19172","-8768","1668","14172","12864","8856","741","-13536","1188","768","-11502","-72","-15568","-5760","-2952","960","1128","648","2880","-2314","-9840","5984","8118","11004","-16488","-2016","1962","-8160","13572","-1728","-13138","-18032","1170","4416","-1920","1980","20304","4464","804","10176","14736","-1920","-718","4612","2403","676","-2994","2196","-34520","-1440","-5400","7872","27384","-576","16524","-11440","-8970","2624","-9594","2592","27632","17496","4320","-22152","13512","6768","3780","4684","-8478","-7120","19062","-702","-1760","1536","3672","9300","15960","-1440","3854","1584","-9864","1680","-11808","3600","1872","48","5436","-22536","20976","864","-10400","-13206","4746","18872","25098","4530","-29464","2080","729","2616","-4920","-7368","-2698","-14576","-1026","-2304","20352","-2268","632","2640","624","-29520","-20844","-3936","-10620","-19940","4968","-2880","240","7704","272","-3264","-6444","-7332","-5928","-2160","37550","26896","5184","-768","33330","-12864","-36680","-5472","-1620","23640","1560","-768","-15406","5760","1674","-13240","-29514","2952","-14596","-13808","-6600","348","2016","-936","3168","4320","7614","912","1956","16488","33176","12504","-6336","-13152","-7320","1728","7982","-5972","13284","18656","-16746","1920","6120","-2848","1890","-21132","5232","-10176","-8640","4264","-15138","6384","-15846","972","22952","-22560","11388","5280","8976","1440","-2624","-14540","2340","-3024","-37146","-16524","-9592","-4160","6408","4800","-39960","-2592","-3706","6624","-16746","832","-1710","-13512","6696","-1536","-4428","-14616","9756","-2880","55135","-11876","5850","-2224","1014","-3672","-15100","-11808","14196","5340","-7920","-1584","11342","24560","-864","96","-16134","-1872","-20932","3936","7560","23064","10044","-864","26244","-1436","12039","13120","-26304","10152","11024","-14672","-15534","2304","-25680","-2616","-26314","17968","-14994","2304","37506","1026","-6388","-1560","-2160","5208","-5472","-2640","42880","2520","1944","-1072","3264","10620","72","2560","2808","-26412","-46248","-3204","22140","-6048","-9840","-2928","28308","5928","-7180","7200","7182","3120","27624","768","13248","16852","-11052","11960","-54960","1620","-30256","-3456","-20472","33372","1716","-5760","-9790","31864","-4680","-9024","-1926","-5904","-912","11304","26280","37080","-4320","936","3962","33920","-11886","-4896","-1074","-1956","9072","1920","-3240","7872","4848","13152","2834","2848","-21258","-4800","762","-13284","-8208","-7248","20304","12360","55080","-1152","-2895","2860","108","-6328","-19860","8640","35804","-6040","-1440","-20712","-4260","-972","45040","23512","3471","9824","-28710","-8976","5040","1368","-16506","3816","-49524","3024","18756","16920","12240","-832","-11808","2592","44408","5248","27048","5280","27984","-6624","18398","-17888","-2970","-10272"],"space":"78.4.a","level":78,"weight":4,"T":[[5,1],[7,3],[11,5],[17,7]],"status":"proven","derived":{"al":[[2,-1],[3,1],[13,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/78.4.a.e"}