{"label":"538.2.a.c","letter":"c","dim":4,"charpoly":["-16","256","45","-18","1"],"traces":["4","-4","3","4","5","-3","-1","-4","3","-5","7","3","4","1","8","4","4","-3","2","5","-5","-7","16","-3","-1","-4","6","-1","0","-8","-1","-4","1","-4","3","3","-2","-2","3","-5","-1","5","9","7","8","-16","13","3","-15","1","3","4","28","-6","13","1","10","0","19","8","-20","1","12","4","5","-1","15","4","-5","-3","15","-3","-7","2","12","2","-6","-3","-17","5","4","1","6","-5","-29","-9","-34","-7","20","-8","-18","16","-5","-13","-6","-3","3","15","-16","-1","-12","-3","-3","-4","-2","-28","8","6","-23","-13","-27","-1","-3","-10","3","0","-31","-19","-18","-8","-19","20","12","-1","12","-12","-15","-4","-23","-5","-15","1","-26","-15","-1","-4","-13","5","7","3","-20","-15","24","3","-17","7","-24","-2","-1","-12","14","-2","3","6","-31","3","-35","17","4","-5","-4","-4","15","-1","14","-6","18","5","-14","29","-24","9","-10","34","-4","7","10","-20","24","8","-19","18","-15","-16","-11","5","-10","13","24","6","22","3","2","-3","8","-15","-24","16","-13","1","7","12","17","3","-14","3","-5","4","12","2","-18","28","24","-8","41","-6","-4","23","33","13","4","27","34","1","-22","3","17","10","-19","-3","-13","0","45","31","29","19","-34","18","-9","8","-58","19","36","-20","-40","-12","36","1","30","-12","1","12","28","15","-26","4","46","23","26","5","-17","15","-9","-1","52","26","-2","15","4","1","4","4","-5","13","28","-5","-7","-7","12","-3","-44","20","51","15","4","-24","-21","-3","38","17","-2","-7","8","24","11","2","-32","1","16","12","19","-14","25","2","-25","-3","-15","-6","-32","31","-27","-3","18","35","-2","-17","59","-4","0","5","-11","4","36","4","33","-15","-47","1","1","-14","47","6","7","-18","23","-5","-13","14","87","-29","-23","24","-2","-9","-2","10","23","-34","-1","4","-62","-7","-26","-10","74","20","-5","-24","-15","-8","-24","19","-10","-18","-47","15","-5","16","-5","11","10","-5","-25","10","9","-13","-17","-24","5","-6","-75","-22","2","-3","1","-2","-40","3","-46","-8","50","15","-24","24","-17","-16","-13","13","6","-1","-23","-7","-18","-12","-12","-17","-12","-3","28","14","-48","-3","25","5","-52","-4","-50","-12","28","-2","22","18","-54","-28","-103","-24","22","8","35","-41","-6","6","26","4","-51","-23","8","-33","3","-13","-41","-4","38","-27","-9","-34","-5","-1","0","22","-6","-3","19","-17","3","-10","4","19","40","3","-75","13","12","0","-36","-45","26","-31","9","-29","-56","-19","54","34","8","-18","4","9","-85","-8","-36","58","-37","-19","8","-36","12","20","92","40","-5","12","17","-36","-20","-1","26","-30","84","12","-12","-1","27","-12","36","-28","-2","-15","44","26","-45","-4","-48","-46","-25","-23","61","-26","-101","-5","-32","17","19","-15","14","9","84","1","6","-52","78","-26","16","2","-7","-15","103","-4","-22","-1","-23","-4","-10","-4","-67","5","35","-13","19","-28","-34","5","-17","7","-38","7","90","-12","26","3","-33","44","4","-20","60","-51","-35","-15","83","-4","-42","24","-26","21","-55","3","28","-38","-7","-17","-10","2","66","7","-26","-8","-89","-24","8","-11","16","-2","11","32","37","-1","71","-16","-22","-12","7","-19","24","14","6","-25","17","-2","-34","25","47","3","39","15","-2","6","56","32","88","-31","24","27","-39","3","54","-18","26","-35","-2","2","-45","17","46","-59","-6","4","2","0","41","-5","-5","11","136","-4","18","-36","-33","-4","-5","-33","-3","15","18","47","-74","-1","16","-1","-7","14","-21","-47","-31","-6","10","-7","51","18","0","-23","-52","5","40","13","-95","-14","10","-87","80","29","85","23","-68","-24","-63","2","-27","9","28","2","28","-10","21","-23","-55","34","50","1","21","-4","-40","62","-52","7","9","26","20","10","-1","-74","-102","-20","30","5","47","24","-45","15","18","8","-29","24","-69","-19","-68","10","28","18","15","47","-110","-15","39","5","-64","-16","22","5","-11","-11","10","-10","23","5","88","25","98","-10","-36","-9","29","13","22","17","9","24","23","-5","-13","6","42","75","27","22","76","-2","-49","3","12","-1","43","2","2","40","-106","-3","-23","46","42","8","39","-50","17","-15","-82","24","-13","-24","57","17","-29","16","-54","13","56","-13","22","-6","-55","1","-53","23","-42","7","29","18","3","12","22","12","15","17","37","12","-11","3","-38","-28","29","-14","32","48","-58","3","72","-25","47","-5","-20","52","-103","4","36","50","-37","12","58","-28","-38","2","-14","-22","1","-18","-26","54","-8","28","153","103","26","24","-88","-22","4","-8","-140","-35","-34","41","14","6","15","-6","-123","-26","54","-4","17","51","-2","23","151","-8","-54","33","135","-3","-62","13","67","41","20","4","21","-38","2","27","25","9","-27","34","-2","5","115","1","29","0","34","-22","-40","6","-41","3","6","-19","-41","17","42","-3","-22","10","-66","-4","-40","-19","-43","-40","-75","-3","27","75","-2","-13","-59","-12","-100","0","58","36","18","45","52","-26","-123","31","-43","-9","22","29","-2","56","-4","19","13","-54","-69","-34","10","-8","57","18","14","-4","2","-9","-34","85","-35","8","-43","36","-79","-58","45","37","-94","19","10","-8","29","36","11","-12","46","-20","50","-92","52","-40","4","5","-103","-12","-13","-17","-46","36","36","20","-21","1","31","-26","22","30","30","-84","48","-12"],"lmfdb":"agrees","space":"538.2.a","level":538,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,1],[269,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/538.2.a.c"}