{"label":"478.2.a.d","letter":"d","dim":6,"charpoly":["772","-476","-143","132","-8","-7","1"],"traces":["6","-6","2","6","5","-2","0","-6","10","-5","5","2","3","0","0","6","26","-10","-10","5","-3","-5","7","-2","7","-3","11","0","12","0","-17","-6","14","-26","28","10","-6","10","-3","-5","17","3","4","5","3","-7","29","2","10","-7","7","3","20","-11","3","0","31","-12","-4","0","-7","17","16","6","-4","-14","-12","26","-14","-28","-31","-10","9","6","-19","-10","5","3","-13","5","6","-17","22","-3","5","-4","-11","-5","-8","-3","-58","7","-17","-29","-12","-2","-21","-10","-30","7","44","-7","-10","-3","-54","-20","-13","11","-24","-3","-59","0","6","-31","-57","12","-61","4","-25","0","-5","7","-4","-17","15","-16","-3","-6","22","4","-6","14","9","12","-22","-26","21","14","11","28","-49","31","13","10","-9","-9","-48","-6","2","19","-32","10","79","-5","10","-3","1","13","-5","-5","-44","-6","17","17","-5","-22","1","3","37","-5","-11","4","24","11","22","5","13","8","-19","3","-38","58","-31","-7","49","17","-24","29","30","12","-7","2","23","21","83","10","-28","30","-31","-7","-63","-44","2","7","85","10","33","3","33","54","-2","20","67","13","-34","-11","-31","24","42","3","16","59","-34","0","-69","-6","-2","31","4","57","6","-12","91","61","-17","-4","6","25","6","0","27","5","20","-7","-6","4","-25","17","2","-15","3","16","-13","3","8","6","19","-22","61","-4","26","6","29","-14","39","-9","-89","-12","-15","22","-46","26","-15","-21","53","-14","-15","-11","20","-28","64","49","37","-31","4","-13","41","-10","104","9","-45","9","41","48","-7","6","50","-2","-4","-19","-19","32","-67","-10","-48","-79","91","5","-3","-10","47","3","42","-1","-73","-13","-28","5","10","5","-12","44","-84","6","45","-17","-58","-17","31","5","-20","22","-47","-1","-72","-3","-9","-37","3","5","-129","11","-15","-4","21","-24","1","-11","20","-22","-97","-5","6","-13","-39","-8","-5","19","-10","-3","-32","38","-76","-58","-56","31","100","7","58","-49","-20","-17","56","24","-31","-29","-19","-30","-35","-12","-4","7","11","-2","110","-23","55","-21","19","-83","-15","-10","-54","28","-30","-30","-34","31","38","7","-3","63","38","44","-100","-2","-18","-7","1","-85","-68","-10","-63","-33","66","-3","18","-33","-28","-54","2","2","68","-20","26","-67","-43","-13","-53","34","8","11","62","31","-38","-24","-2","-42","52","-3","-127","-16","24","-59","-19","34","8","0","-23","69","-55","6","-120","2","29","-31","42","-4","101","-57","14","-6","5","12","71","-91","-20","-61","-41","17","-55","4","-6","-6","-37","-25","-40","-6","41","0","-22","-27","118","-5","-118","-20","68","7","-25","6","-67","-4","69","25","-21","-17","12","-2","40","15","9","-3","106","-16","4","13","131","-3","1","-8","24","-6","34","-19","-7","22","18","-61","28","4","-12","-26","28","-6","-93","-29","33","14","187","-39","-109","9","3","89","86","12","25","15","100","-22","85","46","84","-26","-67","15","-41","21","-10","-53","-33","14","-28","15","-40","11","-29","-20","-31","28","43","-64","140","-49","7","-37","9","31","-1","-4","6","13","-94","-41","-180","10","92","-104","182","-9","-35","45","36","-9","115","-41","49","-48","-62","7","-21","-6","45","-50","83","2","-45","4","0","19","73","19","25","-32","2","67","-46","10","17","48","-83","79","-2","-91","31","-5","-34","3","73","10","-82","-47","-3","-3","24","-42","-41","1","-150","73","45","13","83","28","75","-5","85","-10","99","-5","-62","12","-9","-44","-4","84","94","-6","54","-45","-55","17","-38","58","-21","17","7","-31","-16","-5","-69","20","-42","-22","-83","47","37","1","-24","72","-37","3","48","9","53","37","-4","-3","-165","-5","48","129","-8","-11","-19","15","-14","4","99","-21","-44","24","28","-1","-113","11","38","-20","-3","22","-62","97","-24","5","-139","-6","5","13","-1","39","65","8","-76","5","-75","-19","2","10","-60","3","66","32","158","-38","23","76","52","58","61","56","63","-31","-4","-100","-60","-7","-93","-58","77","49","-101","20","22","17","-47","-56","29","-24","2","31","30","29","66","19","19","30","9","35","233","12","-17","4","-33","-7","48","-11","140","2","-13","-110","178","23","68","-55","-68","21","-77","-19","-61","83","-74","15","83","10","21","54","9","-28","28","30","-108","30","18","34","30","-31","-33","-38","153","-7","-109","3","142","-63","-60","-38","51","-44","-23","100","-51","2","-117","18","71","7","13","-1","-8","85","-10","68","-67","10","-163","63","-141","33","-124","-66","28","3","61","-18","-44","33","-173","28","-46","54","-114","-2","0","-2","-108","-68","18","20","-13","-26","105","67","-54","43","-61","13","170","53","-45","-34","-108","-8","-96","-11","40","-62","111","-31","-96","38","-29","24","-114","2","137","42","-48","-52","204","3","-84","127","-36","16","122","-24","-13","59","163","19","11","-34","-96","-8","19","0","-101","23","-74","-69","121","55","68","-6","-48","120","4","-2","59","-29","91","31","-62","-42","41","4","6","-101","21","57","9","-14","-122","6","-20","-5","16","-12","-8","-71","-65","91","9","20","-98","61","114","41","-23","-17","7","55","17","-4","160","6","21","6","-91","37","25","25","21","40","58","6","34","-41","28","0","175","22","-125","27","-1","-118","-55","5","134","118","-92","20","-175","-68","101","-7","-88","25","12","-6","-3","67","56","4","-39","-69","32","-25","44","21","-76","17","-46","-12","-141","2","14","-40","-243","-15"],"lmfdb":"agrees","space":"478.2.a","level":478,"weight":2,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,1],[239,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/478.2.a.d"}