{"label":"782.2.a.l","letter":"l","dim":5,"charpoly":["-1385177352","2854622","830440","-4689","-123","1"],"traces":["5","-5","0","5","0","0","9","-5","9","0","3","0","10","-9","-6","5","-5","-9","8","0","-13","-3","5","0","17","-10","0","9","-10","6","7","-5","-7","5","15","9","15","-8","-6","0","10","13","16","3","20","-5","-13","0","10","-17","0","10","14","0","-7","-9","46","10","-15","-6","-1","-7","10","5","42","7","7","-5","0","-15","-17","-9","15","-15","-28","8","13","6","18","0","9","-10","3","-13","0","-16","42","-3","-6","-20","33","5","19","13","12","0","-2","-10","44","17","-49","0","29","-10","-41","-14","-19","0","2","7","13","9","-14","-46","0","-10","38","15","-9","6","0","1","-42","7","24","-10","-2","-5","-8","-42","-11","-7","33","-7","-90","5","-5","0","-23","15","15","17","-1","9","30","-15","-59","15","0","28","0","-8","-9","-13","-77","-6","-18","-18","-4","0","9","-9","-7","10","-103","-3","-11","13","-3","0","2","16","-10","-42","14","3","35","6","0","20","-54","-33","7","-5","5","-19","-3","-13","-43","-12","-40","0","37","2","-40","10","-9","-44","-50","-17","15","49","-29","0","-30","-29","9","10","-1","41","10","14","9","19","-56","0","-25","-2","-55","-7","-10","-13","10","-9","63","14","-10","46","-5","0","-61","10","29","-38","-9","-15","-22","9","-69","-6","49","0","-40","-1","33","42","28","-7","-1","-24","-40","10","3","2","6","5","-30","8","-8","42","2","11","67","7","-22","-33","-62","7","52","90","-12","-5","-67","5","2","0","52","23","-66","-15","44","-15","6","-17","-10","1","29","-9","5","-30","10","15","9","59","-17","-15","7","0","10","-28","29","0","-5","8","-33","9","56","13","-11","77","2","6","19","18","118","18","47","4","-27","0","69","-9","-8","9","58","7","68","-10","22","103","-45","3","98","11","-19","-13","48","3","-96","0","-35","-2","84","-16","-6","10","19","42","-29","-14","-90","-3","-2","-35","13","-6","13","0","-28","-20","93","54","49","33","-35","-7","-24","5","-2","-5","8","19","-71","3","2","13","10","43","-7","12","74","40","23","0","47","-37","86","-2","-42","40","-5","-10","-21","9","-38","44","4","50","19","17","73","-15","-63","-49","16","29","40","0","-6","30","-1","29","-18","-9","-49","-10","81","1","4","-41","46","-10","-62","-14","-17","-9","3","-19","-117","56","100","0","-52","25","24","2","8","55","28","7","-33","10","-59","13","90","-10","-58","9","-21","-63","27","-14","-50","10","89","-46","-1","5","0","0","-57","61","13","-10","147","-29","46","38","-67","9","70","15","123","22","-90","-9","-72","69","13","6","35","-49","-13","0","-70","40","-32","1","-127","-33","-12","-42","10","-28","26","7","36","1","34","24","-11","40","-68","-10","-41","-3","-52","-2","-1","-6","73","-5","22","30","41","-8","8","8","62","-42","-41","-2","31","-11","-88","-67","-7","-7","5","22","-98","33","-10","62","-43","-7","76","-52","51","-90","8","12","-122","5","0","67","93","-5","-170","-2","88","0","7","-52","-85","-23","77","66","-24","15","7","-44","11","15","4","-6","89","17","-11","10","31","-1","-78","-29","17","9","-85","-5","-143","30","-2","-10","-84","-15","148","-9","82","-59","-7","17","47","15","41","-7","-15","0","-12","-10","-60","28","61","-29","96","0","77","5","-58","-8","59","33","-35","-9","31","-56","-24","-13","36","11","53","-77","0","-2","-29","-6","-39","-19","51","-18","-15","-118","-15","-18","-10","-47","-62","-4","53","27","-114","0","29","-69","40","9","-190","8","89","-9","-54","-58","117","-7","-62","-68","193","10","-64","-22","-54","-103","-14","45","6","-3","-87","-98","-10","-11","10","19","-131","13","8","-48","-76","-3","12","96","-114","0","122","35","97","2","-89","-84","-47","16","6","6","-44","-10","82","-19","5","-42","-10","29","-105","14","122","90","-7","3","-7","2","6","35","-48","-13","-20","6","7","-13","3","0","-83","28","-56","20","149","-93","-21","-54","-66","-49","90","-33","-27","35","-16","7","-87","24","-135","-5","27","2","-46","5","82","-8","21","-19","2","71","24","-3","-36","-2","-49","-13","-6","-10","-14","-43","-38","7","-7","-12","59","-74","-65","-40","-20","-23","-47","0","-66","-47","-18","37","-42","-86","-16","2","-62","42","-88","-40","-40","5","-18","10","88","21","16","-9","-47","38","33","-44","-35","-4","190","-50","-34","-19","13","-17","74","-73","-1","15","15","63","-78","49","-5","-16","-41","-29","92","-40","23","0","2","6","138","-30","45","1","88","-29","-136","18","39","9","-14","49","44","10","-10","-81","41","-1","173","-4","81","41","-11","-46","92","10","192","62","-31","14","-104","17","15","9","37","-3","-128","19","74","117","-18","-56","-59","-100","6","0","-28","52","0","-25","-29","-24","-5","-2","66","-8","105","-55","-15","-28","45","-7","119","33","17","-10","125","59","77","-13","-81","-90","127","10","115","58","-128","-9","-6","21","-53","63","-14","-27","-107","14","94","50","102","-10","-224","-89","112","46","62","1","295","-5","3","0","24","0","-62","57","-21","-61","100","-13","66","10","110","-147","97","29","-60","-46","7","-38","-89","67","21","-9","-48","-70","10","-15","-159","-123","-73","-22","-5","90","81","9","16","72","-102","-69","17","-13","-4","-6","48","-35","-28","49","85","13","95","0","-46","70","17","-40","-145","32","-84","-1","-38","127","-27","33","36","12","86","42","-183","-10","42","28","16","-26","-107","-7","-125","-36","32","-1","-20","-34","3","-24"],"lmfdb":"agrees","space":"782.2.a","level":782,"weight":2,"T":[[3,1],[5,2],[7,3],[11,4],[13,5],[19,6],[29,7],[31,8]],"status":"proven","derived":{"al":[[2,1],[17,1],[23,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/782.2.a.l"}