{"label":"718.2.a.f","letter":"f","dim":7,"charpoly":["32","102","-35","-175","0","47","-13","1"],"traces":["7","-7","4","7","9","-4","7","-7","17","-9","9","4","4","-7","-9","7","23","-17","-9","9","-6","-9","6","-4","20","-4","4","7","15","9","-19","-7","-2","-23","13","17","-6","9","-9","-9","15","6","8","9","16","-6","43","4","4","-20","20","4","0","-4","-18","-7","2","-15","-4","-9","-11","19","20","7","30","2","-6","23","2","-13","-7","-17","17","6","23","-9","21","9","3","9","43","-15","46","-6","1","-8","60","-9","18","-16","-23","6","-13","-43","-12","-4","9","-4","-23","20","26","-20","-18","-4","6","0","-11","4","-4","18","-68","7","21","-2","-35","15","23","4","-2","9","-2","11","16","-19","-12","-20","7","-7","-29","-30","50","-2","-27","6","-56","-23","-57","-2","-42","13","-44","7","-16","17","-25","-17","-60","-6","33","-23","-26","9","84","-21","-54","-9","-37","-3","-49","-9","43","-43","-13","15","-62","-46","8","6","-19","-1","-111","8","18","-60","-46","9","-64","-18","-31","16","-51","23","-10","-6","7","13","12","43","-37","12","-27","4","35","-9","-22","4","27","23","25","-20","-37","-26","0","20","22","18","39","4","11","-6","-38","0","-18","11","0","-4","-80","4","10","-18","-22","68","-31","-7","39","-21","-16","2","10","35","-45","-15","-3","-23","35","-4","57","2","8","-9","-14","2","11","-11","-10","-16","-62","19","22","12","-23","20","85","-7","-80","7","64","29","-8","30","24","-50","-5","2","93","27","-39","-6","-6","56","-21","23","33","57","29","2","-65","42","-32","-13","-71","44","-3","-7","74","16","55","-17","56","25","68","17","51","60","-13","6","-74","-33","-34","23","-14","26","43","-9","78","-84","-30","21","59","54","-29","9","18","37","123","3","-10","49","32","9","-65","-43","16","43","35","13","-21","-15","26","62","-56","46","68","-8","12","-6","-75","19","53","1","4","111","44","-8","-118","-18","3","60","-28","46","-30","-9","43","64","-34","18","-51","31","7","-16","50","51","72","-23","54","10","33","6","142","-7","-1","-13","7","-12","-10","-43","38","37","-37","-12","-58","27","0","-4","51","-35","-166","9","26","22","-13","-4","53","-27","-21","-23","-8","-25","-23","20","48","37","39","26","58","0","-54","-20","5","-22","17","-18","63","-39","41","-4","114","-11","-10","6","-94","38","-23","0","86","18","83","-11","20","0","36","4","99","80","24","-4","-15","-10","46","18","-56","22","15","-68","99","31","68","7","12","-39","-60","21","-160","16","9","-2","41","-10","135","-35","47","45","-18","15","-113","3","8","23","-22","-35","-141","4","78","-57","77","-2","-83","-8","-9","9","23","14","-160","-2","-78","-11","-14","11","78","10","-38","16","15","62","-79","-19","-57","-22","-12","-12","-32","23","27","-20","31","-85","-103","7","3","80","-76","-7","-60","-64","-179","-29","164","8","8","-30","-86","-24","78","50","-103","5","-48","-2","73","-93","-29","-27","-103","39","-53","6","26","6","84","-56","29","21","-149","-23","71","-33","56","-57","12","-29","-124","-2","-42","65","-145","-42","12","32","-6","13","-49","71","43","-44","-38","3","204","7","-124","-74","7","-16","25","-55","87","17","68","-56","-15","-25","33","-68","-41","-17","37","-51","-50","-60","16","13","-135","-6","14","74","-4","33","-104","34","-31","-23","-1","14","-66","-26","-147","-43","71","9","187","-78","14","84","43","30","12","-21","-2","-59","-42","-54","-233","29","113","-9","41","-18","46","-37","52","-123","1","-3","104","10","27","-49","-71","-32","-121","-9","-38","65","68","43","8","-16","84","-43","15","-35","-33","-13","3","21","103","15","45","-26","8","-62","-57","56","-87","-46","-121","-68","-57","8","-3","-12","-37","6","101","75","-192","-19","-68","-53","141","-1","-100","-4","90","-111","22","-44","99","8","44","118","-76","18","-127","-3","-151","-60","190","28","183","-46","51","30","-58","9","-211","-43","-63","-64","-49","34","4","-18","46","51","56","-31","-189","-7","-53","16","-44","-50","-48","-51","-100","-72","43","23","239","-54","35","-10","101","-33","-69","-6","-26","-142","-36","7","30","1","126","13","107","-7","220","12","-55","10","18","43","-83","-38","77","-37","-23","37","171","12","16","58","22","-27","6","0","-46","4","39","-51","32","35","51","166","82","-9","-81","-26","50","-22","75","13","325","4","-47","-53","-35","27","-161","21","-97","23","24","8","118","25","81","23","149","-20","24","-48","4","-37","205","-39","-51","-26","44","-58","-33","0","-6","54","-50","20","102","-5","116","22","-101","-17","103","18","156","-63","61","39","-164","-41","-18","4","-4","-114","66","11","-99","10","-9","-6","132","94","139","-38","-18","23","49","0","40","-86","-70","-18","-10","-83","-183","11","2","-20","-46","0","-130","-36","1","-4","-40","-99","206","-80","-77","-24","64","4","-40","15","-11","10","43","-46","77","-18","-55","56","-41","-22","-60","-15","-62","68","160","-99","-148","-31","68","-68","15","-7","61","-12","-42","39","-46","60","93","-21","-92","160","4","-16","-103","-9","-3","2","45","-41","177","10","0","-135","-15","35","39","-47","116","-45","-73","18","-58","-15","-111","113","12","-3","35","-8","-215","-23","56","22","288","35","-45","141","-6","-4","-162","-78","54","57","103","-77","-20","2","-45","83","4","8","27","9","-98","-9","-2","-23","179","-14","-117","160","149","2","27","78","-22","11","-76","14","-58","-11","-1","-78","-43","-10","63","38","-159","-16","138","-15","-171","-62","-125","79","-4","19","11","57","37","22","19","12","2","12"],"lmfdb":"agrees","space":"718.2.a","level":718,"weight":2,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,1],[359,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/718.2.a.f"}