{"label":"969.2.a.e","letter":"e","dim":4,"charpoly":["3487","698","-90","-13","1"],"traces":["4","1","4","11","4","1","3","9","4","-5","6","11","-6","9","4","5","-4","1","-4","8","3","-9","4","9","20","-39","4","21","5","-5","-10","14","6","-1","0","11","-19","-1","-6","-33","1","9","5","21","4","-14","15","5","-13","20","-4","-33","15","1","9","18","-4","-7","-12","8","-17","8","3","1","6","-9","-22","-11","4","-33","30","9","22","-1","20","-11","9","-39","39","-40","4","-44","7","21","-4","2","5","0","13","-5","-21","23","-10","6","-4","14","1","11","6","70","20","-1","8","-63","0","66","-17","11","2","-54","-19","45","6","-1","-26","1","-6","-15","-3","-33","-20","28","1","-32","63","9","-5","15","5","-27","5","21","-3","-7","4","-9","-45","-14","52","-24","15","18","12","5","8","64","-13","-59","-9","20","-11","-9","-4","0","-13","-33","1","6","15","-58","15","1","8","-16","9","31","-36","18","32","5","-4","-41","11","-7","30","18","-12","-41","8","8","-19","-63","-17","24","-88","8","-6","24","3","5","18","1","-23","31","6","-20","-5","-9","1","-3","-22","5","-9","-11","-53","-19","4","-69","-6","-33","11","42","30","-5","41","9","-12","-70","22","27","6","-1","-11","51","20","27","21","-11","24","-128","9","0","46","-39","15","-93","39","-9","45","-40","27","-53","4","-88","-52","-44","6","-9","7","48","-12","21","33","-53","-4","1","-52","2","-21","78","5","-19","-15","0","-72","-9","13","-98","-9","-5","45","-5","-21","-57","30","23","-41","-2","-10","-78","-31","6","-8","78","-4","-57","-18","14","4","23","1","95","37","11","-6","30","6","-42","24","70","-51","64","20","-5","43","-1","-18","42","8","59","-14","-63","-52","-50","0","114","33","66","3","-149","-17","24","4","11","-60","-49","2","12","-6","-54","-9","50","-19","57","14","45","26","116","6","-8","-30","-1","-15","-24","-26","-1","9","1","-17","-3","-6","54","23","-15","27","17","-3","-10","70","-33","4","74","-20","-93","37","28","-7","71","1","-7","12","-32","20","9","63","36","9","9","-9","-8","-5","18","11","15","9","-62","5","44","-3","-27","-4","24","5","88","108","21","-64","-20","-3","7","23","-7","-6","109","4","0","-39","-9","49","-113","-45","4","-69","-14","31","-36","52","9","35","-24","50","-145","15","183","-20","18","-54","-46","12","251","30","5","-53","-9","8","-62","-4","64","1","-87","-13","39","-36","-59","-41","-41","-9","21","10","20","27","-27","-11","87","66","-9","12","57","-4","-79","63","0","-34","-35","-13","28","-32","-33","-54","57","1","-45","-48","6","-20","-21","15","69","29","-58","21","144","15","-40","-44","1","-13","-66","8","-43","-8","-16","-5","39","9","-23","18","31","1","159","-36","-54","36","18","86","-21","32","-46","5","5","51","37","-4","-58","-19","-41","3","30","11","81","-97","-7","71","-32","30","9","10","18","-4","78","-12","-21","87","-41","-119","-87","8","-39","-18","8","20","-63","-19","-14","26","-63","-47","-153","-17","-93","-5","24","36","64","-88","155","-3","8","-9","-117","-6","29","-49","24","0","166","3","81","-12","5","62","15","18","12","-43","1","9","1","-23","40","36","31","-39","93","6","94","41","-20","10","225","-5","25","18","-9","0","-51","1","-48","-15","-3","-53","-24","-22","17","28","5","-30","-14","-9","343","-27","-11","-21","-93","-53","18","-28","-19","38","-35","4","43","-9","-69","56","-85","-6","-46","19","-33","100","15","11","45","46","42","-9","-18","30","12","-55","-5","11","87","41","1","-9","9","-66","-240","-12","28","-40","-70","47","-1","22","36","67","27","-51","48","6","21","0","-1","-7","-117","-11","209","-99","51","-22","-22","20","172","-4","27","42","33","21","51","-6","-11","-30","-39","24","-194","-147","-128","-64","103","9","-99","22","0","-1","25","46","87","-18","-39","19","-21","15","14","69","-93","8","9","39","39","-37","-9","99","43","45","22","-8","-40","-12","1","27","-26","10","-53","-16","-192","4","25","-5","-88","-83","29","-52","152","-69","-44","33","-242","6","183","42","-9","-30","-7","7","-21","-12","48","97","-33","-12","-15","1","21","11","-63","33","33","68","-53","-66","93","-4","-19","42","1","-147","-87","-52","-7","-36","2","-50","78","-21","24","-1","78","30","14","5","70","-50","-19","-79","8","-15","-18","-39","0","-39","50","-72","50","24","-9","-15","-26","13","-160","9","-98","-27","96","-9","-21","-22","-5","38","-15","45","126","-79","-5","-5","7","-21","-97","54","-57","25","24","30","-45","17","23","-40","-20","-41","-87","13","-2","81","-21","-10","-58","-15","-78","-97","-85","-31","-26","-4","6","0","108","-8","-20","29","78","-11","-66","-4","63","-12","-57","-61","172","-18","72","-49","14","-127","67","4","-63","69","23","36","-90","1","14","33","95","-25","-59","37","-33","85","11","-33","33","-6","120","8","30","-36","-128","6","-19","-15","-42","113","93","24","-38","-8","70","-15","-18","-51","45","-112","64","-35","147","20","81","41","-5","12","-51","43","180","-42","-1","68","-183","-18","24","-66","42","-236","17","8","-23","-32","59","13","152","-14","7","-9","-63","-37","-87","-52","45","68","-50","106","-201","0","9","10","114","-150","-20","33","-18","-7","66","-90","105","3","-223","-63","-149","-84","195","-17","81","94","24","70","-141","4","-119","-36","11","51","-142","-60","-205","-36","-49","45","-173","2","4","43","12","-101","7","-6","33","-142","-54","85","-68","-9","81","-131","50","-19","19","-19","81"],"lmfdb":"agrees","space":"969.2.a","level":969,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,-1],[17,1],[19,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/969.2.a.e"}