{"label":"497.2.a.c","letter":"c","dim":8,"charpoly":["-25898","12718","51004","-20126","-1716","1146","-36","-15","1"],"traces":["8","0","5","8","2","5","-8","0","3","8","-1","19","9","0","12","8","4","7","6","-6","-5","3","17","-13","4","11","11","-8","-5","0","20","-20","9","-24","-2","1","1","-34","1","24","-1","-5","20","-19","-4","-11","24","-17","8","0","14","25","8","23","34","0","-24","-21","18","-28","11","2","-3","8","-24","-21","16","18","27","-8","8","3","0","-59","15","0","1","-11","-10","-54","-4","35","-9","-19","-16","-20","-7","-9","12","-48","-9","31","4","2","-8","-31","11","0","-26","-16","-32","-30","63","3","-12","-20","-48","-21","-49","8","3","-8","4","-76","4","-31","-14","-10","-4","16","-25","-3","-19","48","12","-7","59","-40","-36","16","17","-27","-6","20","-40","-30","-4","47","34","6","24","0","-9","-91","-4","-46","5","43","-46","-21","14","-8","0","-3","-20","43","14","-18","4","56","-17","72","29","-81","36","27","25","13","-29","-16","-58","40","13","-13","-4","1","0","4","2","4","40","-11","21","-59","-8","52","10","-36","-11","20","0","11","-4","31","8","8","-18","-34","23","-80","42","16","5","38","56","39","30","87","10","0","21","44","5","-32","-64","63","-20","79","-24","-2","6","-37","83","20","-3","-12","-14","-4","22","46","-9","-29","-15","-12","0","94","20","24","23","-56","14","-5","18","-7","2","81","28","42","-79","20","43","-1","-7","-13","-54","24","5","-18","-1","28","-24","103","10","19","-4","34","68","44","-26","-100","32","64","-1","-52","49","57","-13","36","54","-24","-58","40","48","8","46","-35","1","-13","-44","-18","-15","32","50","5","-4","-31","-65","54","-39","1","-20","38","-16","90","-24","54","78","19","13","0","13","17","-6","-144","4","-38","26","-120","41","14","-46","11","24","64","7","77","-63","19","-24","36","-37","-41","4","15","60","17","-68","47","-6","-100","-94","-112","-8","20","-40","31","24","-13","-29","0","15","31","-15","-52","2","144","-14","18","-26","-52","-40","-16","-48","-25","-84","5","72","3","-16","2","-8","64","53","-36","56","-10","-35","-23","-8","0","51","-128","36","-13","-34","20","-80","25","-62","-2","40","0","-39","58","-56","10","-36","-51","24","-4","-36","48","12","0","-32","21","-41","-2","30","28","-54","-57","-18","138","84","-25","60","36","-26","28","-30","93","66","-164","-52","5","-11","-52","-35","28","28","-91","-11","-2","-56","-31","-40","44","-54","-52","3","-46","-17","13","-68","61","36","-8","34","-11","59","-32","-62","-58","24","-12","-40","30","10","-148","-26","21","120","37","-8","53","-148","-68","-16","-48","-78","-18","-32","-86","14","-18","-106","143","8","112","-71","-46","-27","-111","-44","40","75","67","5","8","-40","-77","78","-12","14","-40","-8","17","-76","36","47","1","10","-3","-192","37","-114","21","-86","-54","0","-8","-76","-33","12","68","18","59","-109","108","-54","56","32","-135","-15","-90","-28","-45","-33","184","-56","0","-69","56","40","136","0","-82","-1","60","-62","-88","98","-100","38","11","22","100","42","49","10","-115","10","-37","-88","210","25","34","82","54","-66","18","-40","72","-96","2","4","0","7","34","48","-19","-68","-35","-9","-35","74","-36","-90","-92","9","33","70","-182","-16","48","-11","19","-16","116","74","15","-50","-77","16","18","121","-49","89","-39","55","20","92","2","38","52","66","14","7","-132","12","40","-16","-54","76","9","-35","225","38","16","31","49","-12","-25","-28","42","72","74","88","48","51","18","-85","10","-70","24","9","-11","3","48","-12","-52","44","-31","-108","-84","-89","44","-38","-107","-4","-157","84","-29","44","-119","40","-2","74","60","15","79","40","51","8","24","47","79","3","-80","7","31","-78","-84","-95","-27","0","46","-11","168","-56","24","39","-134","-32","0","-6","236","100","44","-40","63","26","-200","-72","-11","-98","79","79","16","28","71","36","-15","68","35","32","40","-14","8","136","-124","52","30","4","74","77","-74","45","16","-63","60","-10","90","-43","58","74","-3","24","132","110","67","154","40","12","-167","-52","2","14","-172","-32","20","128","-48","160","53","-222","-80","48","132","4","-60","53","-79","-64","21","4","-44","-7","144","18","59","49","56","0","-46","72","59","-21","-8","-37","-68","-39","8","-68","113","-3","-30","-64","-92","-1","-60","-1","8","8","117","23","-2","-122","-180","-4","-26","35","-164","140","41","-14","76","24","20","106","-88","-120","14","-4","108","-70","-136","-66","-46","-43","31","-60","51","62","42","94","70","14","76","28","-56","72","55","67","10","-71","82","44","168","21","-83","4","56","104","12","112","-122","23","-16","-93","98","-34","-25","-92","118","25","236","102","-104","105","19","44","3","96","-4","4","9","-32","-84","19","-100","-33","-25","-16","-11","-3","-48","-58","0","-36","275","80","-180","-12","60","93","74","-18","-10","22","7","23","42","44","-133","42","-83","-59","80","-1","143","-16","-154","8","40","83","26","-96","-29","-36","71","36","-96","104","160","19","-238","38","-16","68","100","105","56","-90","-282","-17","166","-12","58","-8","-290","9","27","-117","-8","122","-65","96","-68","6","-145","59","-164","-8","-50","95","-20","-8","12","60","-202","35","138","40","-24","-74","56","-52","-10","126","30","-77","-122","-124","105","-43","-164","4","24","-40","-49","-44","-32","-68","-47","33","39","34","-60","-171","138","-34","23","-117","17","107","25","-114","-6","-124","132","9","-39","52","22","-24","12","32","66","21","-46","-51","0","-16","-181","98","-284","-29","-212"],"lmfdb":"agrees","space":"497.2.a","level":497,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[7,1],[71,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/497.2.a.c"}