{"label":"575.2.a.k","letter":"k","dim":7,"charpoly":["7","-658","74","303","-11","-35","1","1"],"traces":["7","-1","0","11","0","5","3","-6","15","0","-1","6","-3","7","0","7","10","-24","15","0","2","21","-7","18","0","-20","0","-11","3","0","14","17","6","20","0","0","-10","-31","-8","0","19","44","5","-3","0","1","-14","-27","40","0","2","16","4","-1","0","-9","-4","-13","-16","0","40","-12","53","-4","0","-54","-4","20","0","0","-14","-6","-3","-18","0","35","-17","23","-1","0","47","-22","17","-60","0","-35","-56","57","16","0","25","-11","14","7","0","-19","-24","-46","-53","0","0","32","37","-67","0","-16","6","-50","26","0","-14","-95","36","-56","0","-60","-39","60","-52","0","40","54","-16","-15","0","-89","-4","19","48","0","-6","44","-25","-56","0","-2","26","-5","16","0","-50","7","-7","-77","0","-27","-20","30","-20","0","22","-13","-18","-43","0","-78","42","-45","-20","0","-3","-116","34","59","0","27","-42","20","10","0","25","-31","-27","14","0","29","28","34","-14","0","26","53","82","6","0","-74","-60","9","6","0","27","70","22","8","0","110","51","-53","9","0","12","-98","57","84","0","15","-15","-21","73","0","38","-56","-50","-60","0","33","-22","-20","-60","0","-64","68","-26","27","0","52","-34","0","8","0","-44","-111","-45","24","0","40","76","100","-30","0","72","110","40","62","0","59","27","-78","20","0","-34","225","1","78","0","-39","30","-146","-8","0","21","-9","-14","56","0","-19","-108","26","35","0","-14","90","-118","30","0","-6","11","-69","-2","0","2","101","8","9","0","41","-5","63","53","0","-48","-38","26","157","0","-124","96","70","3","0","-65","-9","-28","33","0","154","8","-87","-10","0","12","-19","-20","-20","0","87","-5","-26","-11","0","48","-7","-80","135","0","48","-34","63","20","0","-26","109","-126","-30","0","-58","18","2","-54","0","16","-161","9","-39","0","-19","-32","-57","27","0","-32","77","-55","-11","0","22","156","8","-9","0","32","-40","16","-59","0","-12","111","-7","149","0","-38","81","-52","-24","0","60","65","110","-26","0","-26","-147","111","-48","0","-31","55","-26","10","0","-10","-223","32","20","0","-83","22","-9","-128","0","44","44","18","70","0","27","-72","-70","101","0","-26","-37","-40","24","0","-39","-106","151","-41","0","-22","70","2","-74","0","101","36","80","-44","0","-68","-149","20","182","0","142","-15","-74","64","0","32","-114","46","-84","0","134","18","7","-64","0","-55","144","54","-110","0","122","-60","50","-104","0","-97","-288","-36","-74","0","18","51","99","60","0","-66","147","-11","14","0","-112","60","35","-55","0","144","-22","-2","50","0","-77","-26","58","-10","0","-16","-35","-66","-19","0","-19","20","24","10","0","-160","28","27","-129","0","-21","-116","-131","-70","0","-121","-11","98","-29","0","124","-22","192","-128","0","30","22","-63","28","0","-100","10","90","7","0","-176","-119","-91","98","0","38","-46","56","-196","0","-9","-2","-64","-50","0","106","-14","-128","42","0","21","-18","45","-4","0","-27","46","91","-45","0","-68","-6","-25","-114","0","-38","21","60","-10","0","-70","-205","-86","-197","0","-110","-7","61","-96","0","-97","122","-98","-93","0","-32","20","-86","68","0","-72","34","-25","-188","0","68","160","20","-74","0","122","169","190","-35","0","-5","-30","91","-52","0","-10","-250","-52","184","0","-91","-72","28","14","0","0","-114","-14","111","0","-22","136","162","24","0","13","-5","92","-79","0","70","130","-19","2","0","-58","12","-15","11","0","-64","-34","12","158","0","96","99","61","78","0","58","-85","-226","-3","0","-4","-203","192","69","0","250","-3","-158","40","0","48","-112","-1","-106","0","-71","122","222","6","0","-40","-42","114","25","0","235","-74","-49","-62","0","-60","-155","-205","-20","0","3","54","84","24","0","38","244","-56","115","0","66","-50","40","0","0","41","124","-14","72","0","-81","-64","-1","60","0","135","-22","-166","94","0","161","6","89","9","0","16","158","-90","-103","0","-17","-104","-271","2","0","-106","114","119","-29","0","-40","-101","108","-12","0","-105","46","40","100","0","-100","52","-172","-6","0","77","-106","-52","137","0","-55","0","91","114","0","112","96","2","69","0","82","-84","-66","27","0","-22","-20","-24","54","0","-115","119","63","102","0","6","53","-74","152","0","59","120","-88","-12","0","48","4","23","-142","0","53","-144","-189","-49","0","68","167","-128","16","0","-52","69","-22","161","0","-101","58","-96","-59","0","-78","-25","0","81","0","148","7","154","115","0","-33","154","45","-21","0","50","6","72","-46","0","-105","202","-14","-22","0","10","-114","-27","120","0","-158","-18","-104","-88","0","-58","-24","-58","-7","0","174","-20","-162","-49","0","-22","116","64","31","0","63","48","151","134","0","2","135","-68","82","0","-105","-128","-144","56","0","45","-30","-64","128","0","91","8","-14","90","0","112","95","184","-66","0","-39","-33","-90","-68","0","49","2","53","-102","0","-46","-176","-24","-60","0","28","-96","-10","152","0","-40","173","-10","7","0","-24","86","10","-165","0","79","30","-224","124","0","-54","188","-19","112","0","-169","30","-104","15","0","164","104","144","154","0","28","-52","-81","122","0","-49","-96","-48","24","0","-44","12","-11","-128","0","-7","59","6","281","0","-2","-42","158","86","0","66","75","87","150","0","-142","-158","41","-5","0","-102","-41","-60","-226","0","86","-39","-193","-168","0"],"lmfdb":"agrees","space":"575.2.a","level":575,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[5,null],[23,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/575.2.a.k"}