{"label":"734.2.a.f","letter":"f","dim":11,"charpoly":["-217741864","-12399028","165205720","-71787431","5624844","2248346","-418766","-5006","5176","-194","-18","1"],"traces":["11","11","3","11","5","3","10","11","16","5","14","3","1","10","1","11","-16","16","3","5","-1","14","12","3","18","1","6","10","4","1","5","11","-16","-16","9","16","21","3","10","5","-5","-1","20","14","-3","12","17","3","17","18","-13","1","4","6","-16","10","-50","4","-7","1","-11","5","-13","11","-52","-16","13","-16","-41","9","25","16","-39","21","-29","3","-27","10","23","5","-5","-5","-18","-1","-23","20","-41","14","-47","-3","-14","12","-47","17","-4","3","17","17","-3","18","-4","-13","-3","1","-83","4","2","6","11","-16","21","10","-42","-50","9","4","-43","-7","-28","1","29","-11","8","5","-12","-13","0","11","-15","-52","-5","-16","38","13","-3","-16","-68","-41","12","9","69","25","1","16","-63","-39","-5","21","-13","-29","30","3","-113","-27","-5","10","6","23","-8","5","-19","-5","39","-5","-33","-18","-43","-1","46","-23","1","20","-3","-41","47","14","-68","-47","-25","-3","-5","-14","-20","12","-71","-47","15","17","-63","-4","33","3","32","17","4","17","-29","-3","-3","18","46","-4","-8","-13","-4","-3","46","1","-27","-83","87","4","40","2","-1","6","-43","11","-29","-16","2","21","43","10","-2","-42","57","-50","-3","9","22","4","-36","-43","31","-7","64","-28","8","1","35","29","21","-11","-33","8","15","5","-37","-12","23","-13","41","0","59","11","-11","-15","13","-52","111","-5","6","-16","88","38","38","13","-19","-3","45","-16","7","-68","45","-41","17","12","-15","9","-1","69","17","25","-96","1","65","16","31","-63","68","-39","22","-5","94","21","-59","-13","-53","-29","67","30","12","3","10","-113","19","-27","-84","-5","68","10","-38","6","64","23","34","-8","77","5","-19","-19","-16","-5","-25","39","44","-5","-140","-33","47","-18","29","-43","24","-1","9","46","81","-23","60","1","41","20","-40","-3","47","-41","56","47","129","14","-43","-68","54","-47","58","-25","-9","-3","-4","-5","28","-14","25","-20","-11","12","-88","-71","71","-47","43","15","-43","17","-54","-63","52","-4","65","33","-98","3","44","32","80","17","-16","4","73","17","-16","-29","-14","-3","14","-3","-13","18","50","46","50","-4","43","-8","66","-13","50","-4","-61","-3","3","46","-19","1","-125","-27","-80","-83","84","87","30","4","-65","40","91","2","96","-1","-49","6","-51","-43","5","11","33","-29","25","-16","109","2","82","21","70","43","155","10","3","-2","-3","-42","-61","57","-99","-50","76","-3","-33","9","3","22","144","4","102","-36","28","-43","13","31","54","-7","-163","64","61","-28","-47","8","-75","1","90","35","-116","29","-18","21","114","-11","46","-33","42","8","-32","15","-35","5","-95","-37","66","-12","52","23","54","-13","-96","41","58","0","3","59","-54","11","7","-11","-6","-15","44","13","-30","-52","26","111","77","-5","-8","6","-67","-16","61","88","10","38","-74","38","163","13","34","-19","-48","-3","128","45","-54","-16","-114","7","4","-68","58","45","-68","-41","14","17","74","12","-15","-15","-15","9","100","-1","-97","69","-47","17","-49","25","-88","-96","22","1","100","65","106","16","-43","31","-72","-63","-46","68","-66","-39","-205","22","-90","-5","38","94","-56","21","-179","-59","-186","-13","123","-53","-70","-29","2","67","38","30","-82","12","-80","3","-88","10","125","-113","-10","19","-5","-27","-23","-84","10","-5","-24","68","-96","10","-3","-38","-74","6","-63","64","164","23","-11","34","-153","-8","0","77","64","5","-96","-19","-128","-19","100","-16","34","-5","-103","-25","63","39","41","44","-106","-5","-154","-140","-81","-33","5","47","-279","-18","-43","29","17","-43","63","24","33","-1","-134","9","-218","46","-73","81","54","-23","97","60","-69","1","-51","41","-52","20","-153","-40","-33","-3","-109","47","-47","-41","67","56","-130","47","-11","129","-38","14","85","-43","-21","-68","32","54","9","-47","-177","58","-90","-25","56","-9","-97","-3","10","-4","-144","-5","-163","28","-38","-14","-92","25","-7","-20","-58","-11","-186","12","-101","-88","-59","-71","65","71","8","-47","39","43","-29","15","-112","-43","158","17","-141","-54","71","-63","-57","52","-165","-4","-99","65","-154","33","10","-98","-194","3","37","44","238","32","39","80","-41","17","-1","-16","12","4","37","73","3","17","-94","-16","-144","-29","-99","-14","-127","-3","-198","14","-69","-3","-56","-13","-18","18","99","50","-198","46","26","50","157","-4","-83","43","86","-8","37","66","-140","-13","19","50","-330","-4","71","-61","96","-3","-131","3","145","46","-117","-19","-26","1","-169","-125","-94","-27","19","-80","-43","-83","163","84","-6","87","160","30","-101","4","65","-65","-77","40","-25","91","93","2","-137","96","5","-1","337","-49","12","6","-124","-51","21","-43","5","5","60","11","15","33","59","-29","-33","25","-262","-16","49","109","-116","2","219","82","43","21","-46","70","6","43","-53","155","-32","10","169","3","85","-2","81","-3","94","-42","-48","-61","55","57","153","-99","116","-50","-43","76","-269","-3","191","-33","-33","9","139","3","48","22","143","144","-25","4","22","102","106","-36","-31","28","2","-43","-46","13","-100","31","-6","54","-188","-7","-106","-163","76","64","147","61","122","-28","-29","-47","4","8","126","-75","2","1","-12","90","31","35","-20","-116","-26","29","73","-18","41","21","-44","114","147","-11","91","46","-101","-33","173","42","-150","8","74","-32","-1","15","122","-35","-24","5","39","-95","97","-37","-23","66","-65","-12"],"lmfdb":"agrees","space":"734.2.a","level":734,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,-1],[367,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/734.2.a.f"}