{"label":"543.2.a.c","letter":"c","dim":7,"charpoly":["-23311","-1797","10226","652","-800","-48","13","1"],"traces":["7","-4","-7","8","-3","4","-1","-15","7","-6","-4","-8","-11","-5","3","14","-23","-4","6","1","1","9","-15","15","-4","-7","-7","-3","-8","6","1","-39","4","12","-10","8","-13","-20","11","-13","-30","5","8","-15","-3","-1","-16","-14","-10","-3","23","-29","-11","4","-5","6","-6","33","-5","-1","3","-5","-1","37","-14","-9","-5","-33","15","-14","7","-15","-37","32","4","49","-30","7","14","53","7","18","2","3","-11","25","8","23","-14","-6","25","-4","-1","6","4","39","-42","60","-4","58","-20","-12","11","68","10","10","-10","-8","21","44","13","26","-32","20","36","-2","-11","39","-10","13","-7","26","30","-8","-6","-5","-14","-19","-8","70","-6","15","-9","18","3","91","-20","1","39","7","16","10","10","14","-51","36","10","-21","5","3","12","-46","-23","3","-4","29","-20","17","11","-60","-16","-4","32","-9","5","-31","-10","-6","-12","95","6","-22","-44","-33","17","-36","5","-65","-30","1","-7","38","-3","-4","-49","5","17","41","1","-25","10","-37","-7","16","14","-79","13","9","-11","-75","5","13","13","33","4","-3","-15","-40","-47","14","68","55","-7","-68","27","15","-62","-25","37","-92","66","-32","-24","7","-4","31","-29","-49","-16","41","30","-27","6","-7","76","-27","-14","0","19","-53","-50","-42","-7","-62","28","-18","-25","40","-2","-37","-52","-3","-29","29","11","88","-16","-25","32","-93","-8","-32","-39","-23","19","-23","14","-95","12","6","-8","-151","-25","-34","-5","4","52","-31","1","0","58","-6","-3","-10","-4","-57","-3","-39","30","81","42","-97","14","-60","-32","83","4","26","0","-58","37","1","20","15","-15","12","-13","26","-11","87","45","-68","-43","-22","-10","11","58","-10","23","144","10","-53","18","8","-23","-40","-21","40","-57","-44","31","66","-13","81","-7","-26","-53","44","32","-116","95","-20","-44","-37","-36","40","3","2","-43","42","11","60","0","-39","11","18","10","-21","-3","-13","-25","4","7","-9","-7","-26","30","1","-30","-71","0","8","32","-48","6","-90","3","5","72","61","14","-61","19","19","-1","21","8","-89","-11","-70","70","52","6","-97","-3","-15","6","37","9","61","-5","-18","20","-49","-3","-8","15","-91","-41","-57","20","-60","-13","-1","7","165","-39","99","0","-7","-15","76","-16","-111","-19","-10","59","37","-10","-137","56","-14","-108","-13","51","162","33","-36","18","153","-10","-76","-5","21","35","147","-5","-44","21","-3","75","-127","-12","-69","29","46","21","123","23","84","25","-3","90","-67","4","106","6","-29","-16","-127","20","126","-63","-17","29","13","-11","-36","15","60","32","-124","16","-43","98","4","45","107","-32","57","11","9","29","29","-5","-71","5","31","112","2","10","-41","-9","6","15","58","12","-6","-27","-95","68","-54","-6","-35","66","22","19","90","44","176","41","33","28","-26","-17","80","50","36","-10","-119","-5","28","29","65","36","83","30","35","25","-1","87","-27","7","268","-2","-38","50","96","3","-7","-67","4","-14","33","49","19","-34","-5","-71","41","-17","40","43","-41","117","-8","-1","-57","-95","25","46","122","-10","83","-48","37","-65","-91","7","-187","95","-16","-5","107","-14","34","51","79","-9","-64","-13","-147","-41","-9","34","-86","11","35","-93","75","-33","-10","-5","-10","57","-13","36","-99","-13","-50","-97","-33","-77","-99","-4","3","28","3","-29","-140","15","-45","29","40","1","61","47","-70","41","-14","49","17","-68","-121","-117","-55","-49","-139","7","-225","10","68","12","-29","-27","61","-111","-15","-56","54","62","81","26","25","-10","-11","-37","-37","-13","92","38","-244","-66","-163","8","32","28","-70","24","227","-116","-7","12","23","4","81","-11","-31","23","212","29","-82","-45","49","-84","-70","16","85","-72","-41","22","-51","-30","-85","-26","27","46","16","-6","38","63","7","-6","-153","-76","76","-64","27","37","46","14","-53","-35","0","39","-78","-19","-75","-20","53","-114","-59","50","-8","62","42","-98","-51","7","121","-133","62","-36","-194","-28","82","93","18","-55","-104","25","12","-5","-40","7","-7","2","162","5","37","-9","125","52","-150","-49","3","-6","164","29","-143","-112","-29","-128","159","-11","59","-9","-88","32","5","16","9","-66","25","-40","98","-32","111","-50","93","-26","45","8","-143","130","32","-6","51","39","-238","-64","23","19","-192","-19","83","-103","23","-30","-137","-14","60","-21","95","31","-95","-12","149","-35","-6","-20","-78","8","-66","-50","151","-55","37","25","-9","-12","34","-2","68","5","-8","29","-4","-53","-67","-52","-242","30","31","-59","-93","-1","80","49","0","113","-67","-58","-190","98","6","18","123","3","53","-128","10","-77","-1","4","62","-37","57","-27","205","3","123","48","39","-20","-5","-30","65","48","-81","76","-236","-42","-24","61","97","114","53","-14","-230","99","60","32","261","32","43","19","-83","33","65","-4","-230","30","-26","57","-103","0","56","-60","58","-53","-87","-37","141","3","-1","5","65","-20","65","-131","-15","-105","-9","15","-145","124","-12","-33","-113","13","86","-35","-26","125","26","11","183","20","-87","-80","-144","-45","137","57","68","-166","-40","43","269","-42","22","-67","-316","10","77","-40","-11","106","-20","-58","34","-20","10","29","-29","-23","-205","38","-144","-22","-46","-10","167","40","53","36","97","-18","-35","-66","-8","47","4","23","-158","-1","40","119","3","21","-73","53","-40","62","-175","57","-124","0","44","47","74","-31","-65","-114","-66","73","-234","13","23"],"lmfdb":"agrees","space":"543.2.a","level":543,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,1],[181,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/543.2.a.c"}