{"label":"583.2.a.f","letter":"f","dim":6,"charpoly":["-64","-640","160","128","-32","-4","1"],"traces":["6","-2","2","8","-3","-20","-11","0","2","2","-6","4","-3","4","-2","8","-29","-2","-3","-27","-4","2","-13","-24","7","-15","-4","-29","-20","33","1","8","-2","10","-7","40","-2","19","15","-15","-11","51","-4","-8","-24","-9","19","-8","5","7","-10","4","-6","16","3","15","-19","1","9","11","-6","5","-18","6","-27","20","19","-53","9","12","-10","0","-31","30","-7","-12","11","2","-11","-50","-22","-7","-17","-23","2","9","-1","0","22","-13","26","-18","-5","22","22","-22","3","-25","-2","46","12","111","24","-55","-12","2","-28","-8","42","-2","-30","-12","-31","18","18","-19","7","24","80","104","6","-27","7","38","-15","19","-7","-14","-9","81","-7","-4","-7","3","19","15","-41","44","-4","57","-22","87","3","46","58","19","25","36","-14","-60","9","45","-24","-4","-11","85","31","-69","-2","29","13","22","4","-14","2","13","5","70","21","6","-9","-29","-21","59","-23","-8","-24","11","62","-89","-39","19","27","-95","-61","-40","29","-35","-7","-36","14","-2","26","-8","-81","30","-36","2","25","7","-3","-28","-19","-35","9","-38","-5","79","3","-43","-29","-8","-87","-73","50","-54","-28","-31","-19","27","35","-32","18","-39","39","3","-55","-83","13","107","4","26","-11","-70","26","67","69","-51","-16","1","-20","-2","-10","17","49","36","-99","27","-13","-14","-8","-85","13","-70","-6","-36","-55","37","27","-68","1","52","58","24","3","-66","-11","72","-109","38","26","-36","-19","-34","-7","113","-19","15","37","1","3","-3","-60","31","36","15","16","-6","65","-119","8","-118","-60","-40","-29","170","4","-30","52","-21","-17","21","28","-117","-38","25","-36","29","38","-100","46","-87","-24","47","64","-20","12","20","20","-19","73","15","2","-98","-5","16","31","-7","-10","-33","-32","-98","38","22","-84","9","-54","-114","-3","138","-1","64","-7","12","-107","-32","-37","-28","29","-24","25","-8","-51","-85","3","19","51","56","13","22","51","-39","2","-11","74","-5","54","-13","-3","-143","11","-37","36","-10","14","77","-89","-32","-7","94","70","-47","-29","24","7","-42","-25","-157","-13","122","52","-23","-52","-101","70","-40","30","-61","66","43","-20","-110","4","82","34","90","2","142","-26","-11","34","-10","-47","-104","75","-108","-15","-19","20","-25","41","87","-54","0","-44","-11","27","-53","-15","-90","-9","30","-31","58","119","87","2","180","25","15","25","64","64","-230","-34","-29","30","5","-31","14","11","-144","-21","-54","115","141","-54","82","5","41","14","-51","69","-93","100","74","54","71","-7","-39","-47","-93","4","42","29","173","-2","49","-50","119","-88","43","-15","8","53","94","-69","-26","-16","-47","27","21","41","105","24","95","-24","132","76","13","-22","-200","-61","-8","3","9","114","-93","-11","-142","75","-24","-7","-2","33","-30","-19","-117","32","197","-56","27","-17","7","24","-25","-31","8","-1","-2","58","71","15","-63","33","135","-56","48","-5","-29","24","16","39","-63","-85","-41","-17","-59","23","-7","42","49","-39","101","143","27","-32","32","-30","194","10","-116","-64","-121","40","125","86","0","-81","-138","21","-4","47","39","-2","2","48","-47","42","185","40","151","6","-71","-41","57","-27","73","-94","70","101","-28","-37","-16","49","-64","61","-83","21","-135","-14","51","53","76","-3","-106","-42","74","-90","72","-104","-205","-31","47","11","-15","-50","-38","-19","-93","77","-92","-7","218","-120","121","19","74","33","13","47","-187","-87","75","25","-4","-109","-1","41","38","76","109","18","78","90","-123","79","-14","-9","-111","-58","24","36","-171","-5","-5","-87","-104","36","-11","58","-48","-64","37","-130","200","-19","123","29","-148","6","19","-2","48","7","151","-54","206","101","46","54","-5","58","-141","-10","117","-82","-1","3","-77","21","-41","18","-85","-101","131","49","43","-74","-87","20","-91","128","-6","39","73","-97","45","86","-36","-9","-70","-71","-333","27","10","-49","-70","113","-177","-47","-54","-43","-136","-52","-20","-18","136","-28","96","-5","80","2","-91","47","-90","-19","-14","-16","-38","-105","-4","2","-171","51","-32","-81","53","48","17","-42","-108","200","263","11","39","74","42","-9","-220","-67","107","-44","73","136","13","78","52","59","-12","2","132","-141","21","-4","59","117","-62","-35","-359","10","42","-24","-103","1","7","35","17","25","140","135","0","54","18","2","-12","-88","-57","-67","0","-3","-34","31","-141","8","4","-48","-142","-30","30","-18","45","-16","-30","80","33","-63","95","-37","60","80","141","37","-10","7","-49","-40","-83","-10","-112","-101","-9","-99","-19","-211","12","-17","177","1","-308","120","33","116","-78","0","99","-11","-8","-125","-45","-132","-174","-4","35","72","-40","-185","-2","128","82","-39","125","-140","-28","-4","-51","47","-120","11","-301","5","-40","-160","110","87","33","-54","47","-57","50","41","-48","-51","-23","-70","45","49","-44","75","112","22","-1","127","92","-21","-4","83","102","102","117","29","7","-51","23","-38","-94","-5","17","70","-254","-2","-164","17","-64","-72","-31","5","-80","-194","210","-47","58","-45","23","70","-93","-34","103","-93","115","87","151","92","-129","-2","-223","-1","4","-121","73","-29","-136","10","172","23","-9","123","325","29","90","-75","-68","44","2","-65","227","1","15","110","-96","-13","71","-25","-67","-20","-104","48","0","123","79","-198","-6","78","153","111","7","45","-32","-22","84","45","-284","12","33","-34","87","104","-176","-48","13","-7","44","48","-225","-93","-63","5","136","-110","11"],"lmfdb":"agrees","space":"583.2.a","level":583,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[11,1],[53,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/583.2.a.f"}