{"label":"489.2.a.b","letter":"b","dim":5,"charpoly":["-16","53","-34","-8","5","1"],"traces":["5","-2","-5","2","-3","2","-4","-3","5","5","-10","-2","10","-7","3","-8","-7","-2","-9","-11","4","-5","-9","3","-6","-8","-5","1","-11","-5","-7","2","10","-13","-9","2","16","-5","-10","8","-15","7","-14","-5","-3","22","-18","8","-1","-14","7","12","-7","2","-5","-5","9","10","-13","11","3","5","-4","3","-23","5","-4","16","9","16","-27","-3","17","17","6","17","12","8","-16","18","5","29","-2","-1","15","1","11","33","-19","5","-10","10","7","17","3","-2","2","45","-10","-7","3","13","10","5","9","-7","1","-2","15","10","-16","17","1","5","5","10","10","10","10","-8","3","38","15","-28","21","-7","-9","23","14","31","-20","5","1","7","3","-17","-6","-22","16","9","18","-4","8","-8","0","-25","1","11","-9","14","-67","-10","-7","17","-12","-12","37","53","7","-30","-49","-2","-5","-5","5","-25","-40","5","-13","-2","-9","7","12","-10","6","-3","13","34","-17","-11","-20","-37","-3","-2","-25","-5","-18","-27","4","2","-26","-3","13","42","23","-9","-14","-5","-37","42","4","-10","43","-16","-6","11","-9","-44","5","-16","27","-37","27","-45","23","3","38","-23","-17","25","-43","-17","10","54","-6","-61","12","-17","27","-27","-12","-61","19","-8","-19","2","16","22","-33","-18","-10","9","-5","-46","25","-29","-19","34","2","-17","-11","1","11","54","-15","-22","4","-1","-38","-17","-11","-37","-59","-33","7","-8","19","-50","17","-5","-11","56","10","-58","48","-10","11","58","-7","-22","-44","-17","28","-18","-3","-35","-40","2","18","-10","-2","-22","36","-45","2","-25","10","42","7","7","7","12","-3","24","42","-13","-43","5","-10","7","25","-5","104","-9","-9","-32","32","7","-39","7","-1","-76","61","2","3","2","-15","28","63","-10","-47","25","16","-4","26","-17","56","-20","-1","-30","60","-5","-56","-18","-5","3","-3","-10","40","33","-10","-6","5","-10","43","-71","-10","41","-40","8","-40","-29","-3","-7","16","-38","-5","-29","-15","8","68","28","27","116","-21","12","-63","7","-29","-7","9","-24","-27","-23","10","-16","-14","46","-52","-31","-4","-11","20","-68","49","-5","38","4","-1","11","44","-7","9","63","-3","23","-32","17","6","-23","6","-19","-9","22","-24","4","-16","66","27","-9","0","-17","-18","27","3","4","4","38","-8","-24","-13","8","61","49","0","13","43","25","-3","-68","-1","23","27","-11","75","54","9","-12","85","-14","64","62","67","62","-1","10","-50","38","7","25","-42","-17","73","53","12","17","82","12","59","2","-37","9","-13","-53","4","41","-7","-34","27","30","60","-10","49","3","-9","2","-31","-36","5","-70","-4","5","73","25","-5","-14","16","25","25","54","40","-56","-8","-5","-43","-26","13","12","-52","2","-58","11","9","67","72","-7","67","-91","-12","-34","30","10","31","-46","-6","114","-82","3","46","0","-13","13","28","-34","50","9","17","-111","-34","11","-33","-71","20","9","-32","37","-51","-28","3","17","42","2","-15","-19","25","3","-63","5","-61","-15","18","2","-32","27","4","-50","-4","39","-38","-2","41","-25","26","-70","-15","3","61","-79","-13","22","57","-42","34","102","-23","-70","-23","9","-54","-12","14","-77","-38","5","-11","-41","37","96","-26","-42","11","22","-4","-59","-23","10","-42","-4","-43","-80","-15","16","-87","90","6","26","7","-11","8","59","9","-27","-2","44","-33","-25","-5","-47","-80","16","-66","-44","-27","40","1","37","-2","63","-27","26","-71","45","54","-39","-23","-62","50","-3","33","-44","-38","-2","-78","23","27","-57","17","54","-16","-25","26","2","43","-29","22","17","-22","-12","-10","-33","-84","-54","-26","-100","6","6","-49","61","-53","77","-12","-87","29","17","-2","-46","-27","60","-38","27","54","-59","12","-40","-84","61","-73","23","-19","34","-37","8","-35","28","19","43","-20","-2","-12","-39","-16","39","-59","-22","-41","-19","33","92","-18","18","-104","10","10","52","-60","-9","-14","41","5","9","97","46","42","40","-25","-84","-9","29","-31","-1","19","119","1","-34","24","-15","-2","-79","-66","17","-61","-2","11","50","115","-1","-1","-38","-11","23","-46","-54","63","-15","15","28","-7","22","13","-27","-4","-18","-111","1","36","-118","38","124","14","17","50","-31","11","-43","27","37","53","70","59","-102","1","33","-80","135","-7","-37","-53","8","-75","-21","-19","1","52","50","67","-65","-17","-49","-54","5","-6","-20","11","-97","3","-56","65","-74","-10","70","-51","58","118","28","-48","-19","61","10","-7","49","-11","19","-36","-58","-79","-71","7","36","-33","22","42","-73","44","9","-80","17","36","45","-28","99","65","18","55","54","3","28","44","35","22","-1","40","-117","85","-2","-22","-216","-18","-22","-61","10","-68","-41","2","13","16","22","3","-87","-36","31","14","45","-47","2","-2","69","0","25","-105","-109","-10","-61","-37","-42","56","-92","-7","-78","-28","-7","-22","-102","-7","-9","23","-12","59","35","3","38","60","-24","-1","12","-42","-101","72","13","-73","-13","43","35","-80","-5","-58","-30","10","84","-37","-7","9","-40","-25","115","79","5","-47","128","-104","99","85","9","170","-3","9","96","89","32","73","64","-32","-50","-31","-7","49","-33","39","12","54","-7","2","23","1","83","58","76","-50","-43","-61","-33","57","-2","15","179","-3","42","-64","-2","2","31","15","-15","-73","-28","-72","-130","-63","-1","27","10","-78","39","47","81","123","-25","48","-47","-16","-69"],"lmfdb":"agrees","space":"489.2.a","level":489,"weight":2,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[163,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/489.2.a.b"}