{"label":"815.2.a.f","letter":"f","dim":20,"charpoly":["-5066","179029","215190","-1263704","-1066497","3066091","2162424","-3363255","-2072493","1846111","942588","-559503","-201949","101916","19592","-10671","-575","557","-20","-11","1"],"traces":["20","5","6","27","-20","1","11","18","32","-5","-5","14","23","-10","-6","45","21","32","11","-27","-4","15","12","-16","20","2","27","43","-9","-1","10","46","39","-4","-11","58","43","19","7","-18","-19","-8","36","-24","-32","12","9","4","61","5","-20","37","19","-14","5","-62","43","-7","-23","-14","-5","-5","-14","80","-23","-80","23","-2","-19","10","-15","94","60","4","6","-27","31","-77","40","-45","40","-6","9","17","-21","-57","2","-44","-26","-32","-13","18","-3","21","-11","-136","44","-55","-4","27","-60","-56","8","-6","4","-78","23","-66","27","-15","-39","7","29","32","-12","-62","83","-8","-19","16","103","25","10","26","-20","-187","97","41","27","-2","-28","-20","-5","1","-27","-85","36","-102","36","-43","-68","-17","-4","153","9","-78","84","32","-42","1","22","9","63","70","-10","-193","59","-29","29","-46","-40","42","20","-72","-39","-47","12","-184","121","4","-57","118","38","-35","11","-166","-15","-157","-3","-58","1","-37","-57","59","-43","-64","-33","-42","-74","-19","-2","-166","98","-44","-7","-49","-14","-255","-2","18","-14","-89","-52","-93","19","-161","-32","18","-31","8","84","10","-22","22","-36","-183","109","-5","-10","24","-89","31","0","-29","32","-73","-2","-11","-40","-12","16","-14","35","119","-9","-52","-10","-4","-58","-4","-11","93","-18","41","-61","-10","42","-60","13","-5","6","-19","9","61","20","87","5","5","-25","-37","-48","-10","23","-25","-19","-64","-55","-119","-72","14","65","136","29","131","-5","-206","62","76","-95","62","25","-42","33","86","-43","-126","-9","269","75","7","48","32","50","146","23","2","190","-128","-104","14","4","138","-22","53","5","29","33","163","-55","5","-26","-104","118","95","14","143","55","34","-23","-80","173","142","-45","197","23","5","-140","-11","-15","80","-10","185","103","24","-23","-68","209","114","-137","2","-103","167","-74","129","19","6","-14","-216","53","-10","140","-79","75","349","15","-206","48","-18","28","-94","141","161","131","148","-60","7","-75","197","-115","-4","-100","319","169","157","-6","-71","47","-186","-109","27","-101","-38","-6","-114","-31","169","-47","53","-75","77","36","-30","136","97","-40","-158","-6","79","-46","45","-25","33","-54","-107","-40","138","-118","-320","112","6","1","-68","83","210","-9","95","139","-47","-64","-17","83","-6","-78","-151","21","-78","-48","163","-18","57","-52","-165","78","13","-2","-110","73","88","-114","44","157","56","-19","116","26","64","5","-84","-17","32","107","-84","-2","53","13","247","91","68","-135","-18","-109","-112","61","-17","3","-257","-76","127","43","-21","-3","106","52","-25","11","248","-71","30","-104","136","133","-69","-83","388","-44","-177","-60","98","6","55","-18","-82","39","33","4","169","164","150","-105","-27","-33","-94","5","-243","60","95","-112","243","-139","56","-10","180","177","62","-8","233","86","-38","-173","6","35","333","-92","-172","-4","129","-48","-77","96","78","-25","-260","89","-39","-23","128","119","-116","-185","66","-30","-106","-154","51","-27","28","-132","131","53","15","-100","-202","200","-72","39","-39","31","-239","-155","-7","307","-27","-19","-234","-29","53","-228","50","45","-32","119","-159","34","129","12","170","-36","-4","-208","62","3","144","-131","37","-83","27","-138","283","-32","8","53","-105","91","-93","19","-17","109","85","-81","-16","160","-217","-71","149","-103","71","1","-2","-75","-25","80","-37","234","39","-10","163","46","-409","-75","-26","-53","46","12","-172","20","19","-342","-88","-225","187","59","-99","124","-18","-97","319","121","185","-131","-41","138","-144","-18","-65","-27","-123","40","389","-126","2","134","27","-29","316","28","-85","146","132","-94","20","-28","-179","-15","-61","5","267","-94","-7","-74","-1","-26","-79","222","-68","27","65","62","-148","-80","85","55","-171","-13","107","-36","-79","-165","113","-94","102","-7","320","0","85","-36","-194","-10","186","35","43","-75","-284","-108","-515","68","179","-236","-67","0","17","-114","-421","-36","285","4","21","-29","-70","-162","-153","95","15","-206","155","-9","85","-142","-146","35","78","85","-341","-50","-341","-84","166","40","-333","67","-32","-214","-249","-73","192","42","58","-199","-176","-208","-1","33","-87","-79","96","-22","44","-50","-86","-309","-9","-42","-114","51","128","-63","-280","-207","-346","7","-70","-11","419","91","-116","10","-123","-3","45","-124","193","8","-90","-163","8","-59","87","-234","-315","-426","29","49","-777","63","-39","-29","36","-34","-249","-10","46","-111","225","-260","271","40","183","-311","-343","22","-42","5","-318","-108","204","-20","-234","-7","-107","-354","72","-75","607","-51","-358","39","-89","33","-167","40","47","90","-134","-16","524","-12","58","-185","92","-95","184","161","-283","73","169","-121","432","-215","204","79","-4","30","-6","90","5","57","-79","48","-260","48","-118","-100","-102","219","-243","-38","61","-180","-84","-125","35","-136","47","-137","-24","-11","248","97","-24","103","166","-106","-164","-90","-258","15","133","-62","90","-17","157","-46","-154","-35","316","3","102","59","-205","-126","58","-50","12","-226","172","-1","-29","-13","-98","-178","37","16","70","-109","-84","57","-124","-97","-185","-231","-59","-10","-106","110","674","43","254","104","-291","-101","64","184","0","-118","172","33","507","-33","63","82","42","-221","-71","-15","-344","74","170","-4","202","162","19","87","-51","91","87","2","-47","-61","-339","115","166","106","385","319","-17","-98","120","-77","-16","171","44","118","-231","22","67","7","91","250","1","-100","49","-54","-251","13","487","14","225","-165","169","-18","255","126","-24","-296","132","2","334","194","147","-44","-18"],"lmfdb":"agrees","space":"815.2.a","level":815,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[5,1],[163,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/815.2.a.f"}