{"label":"559.2.a.b","letter":"b","dim":4,"charpoly":["16","24","-20","-2","1"],"traces":["4","-1","1","3","-5","-11","2","-3","-1","6","-11","5","4","-1","-6","5","-20","-4","-1","-13","1","-2","-8","-11","3","-1","1","-14","-20","23","-4","-12","2","5","-10","24","-3","5","1","1","-6","10","4","1","-8","2","7","18","-4","-12","-5","3","0","11","-3","21","-5","-1","10","-13","1","23","-16","-19","-5","21","7","-15","-2","4","-19","-19","-4","-6","12","-10","2","-11","22","1","-8","35","-27","-19","25","-1","1","11","17","7","2","-6","-23","-11","18","9","-4","-16","12","-9","6","55","-4","-3","-4","-7","3","12","17","-7","6","-4","-7","12","10","-20","-1","24","-10","25","3","7","-35","4","9","20","-3","17","1","6","42","-7","-8","34","11","15","-24","22","-21","39","11","-8","-11","-2","37","26","16","77","-51","3","-23","-2","5","0","22","5","12","-2","7","39","-4","-2","-6","-3","7","16","-7","32","4","-30","-9","3","-12","60","25","-21","-24","-60","-5","-32","12","-1","-7","6","-36","4","55","56","-23","-11","-27","7","5","-51","-6","-36","20","9","5","10","-34","-45","-17","-25","-7","-11","2","5","-14","-19","31","-36","8","44","-5","-13","-26","-19","-26","46","-20","-71","-36","-20","-12","-1","4","-8","-13","-12","0","2","57","-4","9","-27","2","5","40","-41","-36","26","-1","20","-39","15","-1","1","-16","-3","-19","-10","22","-21","30","-23","32","-11","-41","-13","0","-2","37","19","-3","3","60","-31","-29","-21","-54","-25","1","17","4","-10","6","78","8","-60","-71","-70","27","-23","11","-2","10","-7","32","-18","51","-35","9","44","-30","-44","-15","32","-8","14","2","13","45","6","-42","20","-25","17","11","-50","-7","-11","56","-68","49","-7","-48","36","43","4","-44","2","5","-81","3","13","19","51","-65","-40","-57","-71","80","-67","51","-22","-3","-1","1","65","-6","3","61","-3","12","-8","21","0","14","-13","1","9","-28","7","84","21","-5","-80","-35","64","-59","19","-26","-14","60","-22","21","-10","3","9","39","-47","-49","10","3","-83","-20","12","32","-7","21","-70","-5","61","5","-39","-1","48","-48","23","40","63","2","-88","18","-64","-8","-1","-3","14","-49","17","-4","6","45","18","48","55","-66","-76","-17","-13","57","8","16","-12","-78","-9","16","52","31","-82","49","32","-15","61","22","15","2","6","-45","-9","-23","3","18","-58","2","43","20","1","-32","5","53","56","20","12","-32","37","-82","-2","31","17","-13","33","-10","14","54","-32","-5","26","16","-21","16","-1","50","15","33","24","-20","29","68","71","-11","-37","-13","70","-36","10","-25","-6","-3","-26","-2","-83","-40","64","-5","28","-13","28","-29","-121","100","5","49","-32","-61","125","42","91","67","1","10","-3","-34","4","1","106","16","-115","-25","87","12","31","29","5","-37","47","8","1","-52","1","65","65","13","-17","20","-31","-76","14","-37","25","-6","-55","-6","7","80","-2","55","-39","42","51","-19","60","9","10","49","10","19","21","17","22","-11","70","-9","-74","-27","24","4","7","-10","17","-38","105","-73","-38","36","-50","-16","-29","3","1","70","-45","-6","-22","-57","-8","39","45","55","-40","3","5","-8","0","-79","-31","18","-38","88","-30","-16","-23","50","-92","1","2","-75","4","-44","-1","-38","-130","118","-18","-7","27","-18","-13","7","-120","-40","-68","76","-24","29","21","22","-13","-2","3","-41","18","-78","-40","9","102","15","-56","58","-35","82","89","-50","-18","-4","22","-4","-83","45","-21","8","28","-6","-25","47","42","-10","-12","-3","39","69","24","-122","-89","-31","76","-8","13","36","92","-5","98","25","-50","40","45","-12","-61","38","-29","-39","39","-34","3","104","-3","-8","-5","-33","-42","-60","-8","86","-52","32","5","0","-46","4","-120","15","-3","117","41","30","27","-15","-34","-21","11","-39","72","-29","-155","28","-119","65","-3","-29","-118","8","-50","-3","21","-10","68","68","-47","-16","13","26","99","-16","77","47","21","-40","-56","-20","-42","69","69","-28","24","-79","86","-18","-76","-5","-32","-49","24","87","91","-44","-5","-9","-109","33","45","-1","-1","-19","20","63","-13","-4","-4","-61","-100","49","95","40","134","10","-121","65","2","-31","-105","-51","-4","-49","-55","-47","75","-13","-13","-8","-10","-4","-15","-139","-149","-64","10","17","26","56","12","1","16","-14","-96","-55","-9","-35","-11","4","37","-44","-75","20","23","2","-23","-71","-4","-97","76","-51","15","71","-90","-1","31","-16","79","-62","38","-82","-23","-21","-81","-33","-48","-36","-59","-70","-19","20","116","-29","47","45","-48","28","-85","2","142","-17","-48","-5","-94","-35","11","38","60","6","66","-25","-29","-25","32","76","21","-13","-13","45","-63","-4","-1","47","66","8","53","-106","-119","7","13","52","-10","-28","-57","21","19","0","-43","13","47","-147","-15","38","18","83","-124","-56","137","-13","17","16","194","-15","10","-2","4","15","17","0","-64","1","62","-86","176","-75","103","0","4","54","-23","92","-13","13","91","57","-55","47","-2","68","-19","-19","24","-35","32","-9","96","49","-31","-43","118","-3","-25","15","-19","-14","-14","40","-169","-29","-126","12","-58","68","-2","-103","39","-4","15","-89","-105","-10","25","-15","58","-22","-121","-96","5","-52","-6","12","57","-8","-20","21","-12","25","98","58","-74","-43","74","12","-54","33","-27","-88","150","-75","-64","-61","95","-25","5","-76","-10","-8","-6","91","2","-92","69","38","-130","-51","-74","32","-40"],"lmfdb":"agrees","space":"559.2.a","level":559,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[13,-1],[43,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/559.2.a.b"}