{"label":"869.2.a.f","letter":"f","dim":11,"charpoly":["-3353129","15060526","-3801413","-4137139","553868","451503","9303","-16015","-1545","139","26","1"],"traces":["11","1","-9","7","-8","-3","-3","3","10","-8","-11","-18","-13","-2","-7","-1","5","-9","-31","-24","8","-1","3","6","9","-22","-6","-13","11","20","-13","-8","9","-24","2","8","-16","22","-25","-39","3","-38","-22","-7","-15","-18","-11","-17","-12","14","-25","6","-11","-23","8","5","36","-5","-51","41","-33","5","12","-41","4","3","-26","10","-7","-16","-15","24","0","14","-8","-82","3","74","-11","18","-25","12","-11","3","10","-61","27","-3","2","25","-35","-2","15","29","41","-5","-10","-11","-10","71","20","79","-15","8","-5","-19","51","4","-17","8","21","27","1","14","-57","40","5","-32","-47","25","11","37","-35","-14","-15","78","-7","6","62","-7","-6","18","22","114","40","-42","-13","7","-63","72","24","-15","13","27","-2","11","-43","13","34","-31","59","-35","-7","2","22","23","-24","-1","-41","-4","-13","85","-12","34","7","83","0","-1","-10","68","-82","-5","31","5","-60","1","60","26","-19","-51","-62","62","-32","61","16","3","-5","59","-5","28","6","104","27","-5","79","9","10","9","-12","40","-11","-54","-8","38","-59","0","44","36","31","151","-31","35","70","52","62","-73","-29","41","7","24","52","63","-42","-6","31","8","-51","193","-56","55","-8","-2","96","-23","-67","-26","9","-14","28","24","10","1","48","-12","-48","-51","5","30","-9","38","-47","56","-3","-52","-16","-25","-22","132","-107","-42","12","-49","-18","-6","24","-24","-21","-44","0","62","-133","-15","52","-18","-9","-12","14","-87","-66","-8","14","-133","-39","6","-13","22","28","41","-10","-134","-68","40","18","63","34","-41","6","24","69","-52","6","-106","-22","-2","1","-136","-41","13","38","10","-127","-37","-58","-56","-79","-7","1","58","-11","80","25","142","-41","42","-1","11","104","10","88","-20","-24","-32","-57","-80","47","-104","-11","-22","-82","4","13","-35","-21","-111","95","99","46","-28","-46","-48","-8","8","71","170","-157","-125","82","-2","32","-50","62","-19","-9","-58","50","-39","-24","-55","28","26","32","-27","26","24","12","41","-46","-75","-135","112","40","63","33","-58","-2","38","-66","-4","23","-136","-76","10","-23","35","8","-8","-64","-65","-77","-75","-33","-127","44","34","-49","-162","16","129","-53","103","-43","-9","7","-12","43","36","129","-22","-39","-69","-61","-183","23","-57","79","60","-25","47","25","-9","17","-51","42","23","-185","-61","0","-64","6","39","41","-38","-42","40","83","33","-21","44","-25","-90","-3","90","32","-40","144","-25","12","162","120","-120","42","38","46","63","84","-96","-112","-32","-59","-37","-2","-88","22","3","-140","-179","36","106","51","54","33","-3","119","7","14","-28","59","14","-1","77","-51","-118","-5","41","15","-6","-56","-170","-102","-57","-20","3","31","71","56","18","75","-78","-93","-248","-49","-23","23","-53","77","-64","11","-30","-35","115","-39","-78","-99","178","121","-103","-30","17","34","-79","-184","-5","-12","-114","-154","48","19","42","12","136","64","-59","168","90","-37","-71","48","-55","83","-14","-105","-92","3","-43","-40","-141","-38","80","3","-16","25","-3","-16","-8","16","-45","-7","32","170","-172","-174","-6","158","178","-18","-99","55","78","-102","24","-62","-72","11","51","83","-10","-42","59","10","-38","75","-76","37","23","138","-49","41","-56","71","35","-26","-17","18","95","-8","-93","18","-31","-4","23","-94","-135","6","128","233","-5","-1","13","-81","-27","-109","0","107","25","-73","-18","-36","-94","31","-205","-74","-3","79","62","94","-216","140","5","11","247","-1","-88","-78","-3","-82","160","-24","116","51","2","26","-46","56","-47","-88","-111","-45","-63","31","-41","-88","-62","-37","-2","-60","-160","-153","1","113","-117","33","48","178","18","39","-51","17","95","39","-28","122","-5","130","-212","77","115","-28","44","64","-19","-113","-46","-12","30","43","76","-8","80","-82","-95","77","21","63","41","-27","-25","7","65","-76","124","-10","42","39","-12","-4","15","28","-135","42","58","35","-81","69","-100","102","-3","15","-85","-140","-16","-53","55","30","45","155","-9","26","104","-88","-43","109","125","131","-66","-11","17","84","-10","-16","-78","-1","-105","28","174","-61","-82","50","84","7","272","101","94","88","-159","62","-76","124","80","7","16","90","111","34","-53","-51","56","169","15","-19","60","15","-240","22","2","-127","-40","-87","4","113","8","-11","-24","73","113","229","5","30","253","-72","0","45","91","0","-10","48","-44","77","-22","181","-223","37","80","193","-14","-51","81","33","-105","-161","-88","211","80","222","-102","8","14","-20","136","93","157","-126","-109","177","-41","94","82","-50","-57","17","42","70","19","-57","-3","-4","38","-3","173","22","38","-2","129","-71","124","225","53","25","-74","-2","302","-21","15","22","54","30","-170","-150","9","11","289","-16","15","78","97","85","-11","118","190","-26","-18","-57","-92","2","139","127","27","-19","9","-59","-9","25","-121","0","44","-55","-68","-197","-40","-141","6","35","-12","7","-13","5","94","38","-128","140","-70","-5","41","11","-18","112","148","48","146","-71","149","22","-292","52","-3","91","-46","-58","-38","-51","-149","11","-4","37","-171","-10","-128","82","22","248","-25","-88","44","158","26","27","61","-14","18","-20","-73","9","-78","76","224","-121","126","-27","111","89","-207","-112","-59","23","105","-2","-308","93","3","7","109","56","-9","7","-26","-55","11","67","19","-2","-132","-99","159","103","-61","-42","124","-106","-39","-68","-25","138","-49","22","-16","43","-89","-21","12","34","-38"],"lmfdb":"agrees","space":"869.2.a","level":869,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[11,1],[79,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/869.2.a.f"}