{"label":"838.2.a.a","letter":"a","dim":5,"charpoly":["-1","22","47","34","10","1"],"traces":["5","5","-5","5","-5","-5","-7","5","0","-5","-13","-5","1","-7","-3","5","-8","0","-8","-5","6","-13","-21","-5","-2","1","-8","-7","-5","-3","-6","5","5","-8","-9","0","-8","-8","-7","-5","-1","6","-1","-13","19","-21","-9","-5","6","-2","14","1","-8","-8","24","-7","7","-5","1","-3","8","-6","-3","5","-16","5","-1","-8","34","-9","-13","0","-3","-8","8","-8","10","-7","-21","-5","17","-1","3","6","9","-1","28","-13","11","19","12","-21","7","-9","13","-5","16","6","14","-2","22","14","-7","1","34","-8","-15","-8","18","24","9","-7","11","7","32","-5","17","1","-9","-3","-6","8","11","-6","6","-3","-19","5","36","-16","-7","5","19","-1","-8","-8","-27","34","-7","-9","13","-13","6","0","7","-3","-4","-8","36","8","-13","-8","0","10","0","-7","58","-21","2","-5","-12","17","-21","-1","11","3","-11","6","16","9","12","-1","-7","28","28","-13","-32","11","15","19","24","12","11","-21","2","7","16","-9","34","13","-23","-5","18","16","39","6","-66","14","17","-2","38","22","9","14","37","-7","-29","1","0","34","-38","-8","4","-15","-53","-8","45","18","-11","24","5","9","15","-7","-10","11","-19","7","17","32","-5","-5","-21","17","-1","1","46","-9","17","-3","-36","-6","16","8","19","11","-59","-6","-15","6","-29","-3","62","-19","-20","5","0","36","3","-16","-74","-7","-31","5","-6","19","-44","-1","-7","-8","14","-8","-55","-27","-13","34","13","-7","-34","-9","-9","13","-26","-13","-35","6","-68","0","-41","7","-23","-3","28","-4","-22","-8","31","36","-21","8","47","-13","-26","-8","-38","0","-40","10","32","0","16","-7","-31","58","-44","-21","-96","2","-9","-5","6","-12","10","17","12","-21","-66","-1","9","11","-19","3","20","-11","-28","6","-20","16","29","9","15","12","-14","-1","-12","-7","-92","28","19","28","7","-13","-20","-32","51","11","-3","15","-25","19","3","24","58","12","29","11","-51","-21","-30","2","25","7","50","16","32","-9","-129","34","13","13","48","-23","13","-5","12","18","-77","16","27","39","61","6","-6","-66","11","14","71","17","48","-2","-43","38","-49","22","16","9","11","14","57","37","-33","-7","86","-29","-12","1","-96","0","5","34","68","-38","36","-8","1","4","-26","-15","13","-53","-62","-8","-3","45","-18","18","3","-11","-79","24","1","5","-24","9","24","15","-116","-7","-14","-10","26","11","-64","-19","24","7","-5","17","-29","32","35","-5","-29","-5","46","-21","-39","17","-30","-1","-47","1","-52","46","20","-9","-15","17","37","-3","31","-36","-20","-6","-19","16","-24","8","24","19","21","11","-24","-59","-77","-6","-50","-15","9","6","25","-29","100","-3","21","62","-24","-19","-8","-20","-21","5","-43","0","-3","36","-15","3","-29","-16","18","-74","63","-7","-35","-31","-53","5","48","-6","51","19","-58","-44","46","-1","-75","-7","5","-8","54","14","37","-8","-20","-55","-110","-27","-59","-13","82","34","15","13","-16","-7","-38","-34","-16","-9","-20","-9","52","13","-65","-26","-78","-13","-55","-35","11","6","14","-68","-23","0","15","-41","-19","7","44","-23","60","-3","-42","28","-7","-4","30","-22","106","-8","-40","31","65","36","-59","-21","54","8","-7","47","-49","-13","-62","-26","8","-8","21","-38","1","0","84","-40","-48","10","-99","32","-27","0","39","16","20","-7","-81","-31","-6","58","49","-44","26","-21","102","-96","68","2","-2","-9","63","-5","-50","6","89","-12","26","10","-128","17","4","12","-25","-21","-37","-66","32","-1","-13","9","50","11","47","-19","56","3","-28","20","43","-11","-54","-28","7","6","-53","-20","0","16","-32","29","-9","9","9","15","-41","12","69","-14","-13","-1","104","-12","43","-7","12","-92","40","28","25","19","8","28","-40","7","16","-13","-61","-20","-67","-32","11","51","-34","11","-10","-3","-11","15","14","-25","-55","19","-27","3","58","24","-1","58","33","12","-42","29","3","11","81","-51","-40","-21","-36","-30","-39","2","58","25","-27","7","6","50","-5","16","-17","32","71","-9","75","-129","79","34","31","13","-47","13","-5","48","61","-23","10","13","61","-5","75","12","88","18","-12","-77","8","16","-9","27","-30","39","37","61","68","6","0","-6","43","-66","37","11","26","14","133","71","105","17","-4","48","72","-2","4","-43","76","38","105","-49","13","22","-46","16","38","9","-79","11","104","14","49","57","49","37","70","-33","73","-7","-14","86","-6","-29","113","-12","-15","1","25","-96","-19","0","111","5","57","34","118","68","33","-38","-91","36","69","-8","-24","1","34","4","29","-26","62","-15","61","13","78","-53","50","-62","-142","-8","-8","-3","45","45","13","-18","21","18","34","3","51","-11","82","-79","-30","24","-20","1","79","5","90","-24","-107","9","-104","24","-68","15","96","-116","20","-7","115","-14","145","-10","-14","26","-89","11","-19","-64","-9","-19","53","24","-45","7","6","-5","85","17","-77","-29","62","32","105","35","-17","-5","18","-29","-7","-5","-10","46","-51","-21","-15","-39","-37","17","-25","-30","-21","-1","-74","-47","117","1","1","-52","-63","46","44","20","87","-9","-34","-15","35","17","-51","37","52","-3","5","31","31","-36","-18","-20","-4","-6","-73","-19","29","16","69","-24","-37","8","-96","24","29","19","118","21","48","11","56","-24","32","-59","-26","-77","-45","-6","-57","-50","57","-15","-3","9","-57","6"],"lmfdb":"agrees","space":"838.2.a","level":838,"weight":2,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[419,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/838.2.a.a"}