{"label":"629.2.a.e","letter":"e","dim":5,"charpoly":["1641587","535099","65007","3700","99","1"],"traces":["5","0","0","4","-3","-5","-12","-6","1","3","-5","0","1","2","-3","-14","5","-8","-16","-8","-9","-9","2","-4","0","-8","9","1","-9","-9","-12","13","-15","0","-7","1","5","-6","1","-8","11","12","-11","-3","8","19","-7","16","17","24","0","-9","-3","4","-3","25","-4","-31","-9","9","15","15","-15","-10","-4","33","-41","4","-15","-27","18","-6","-15","0","-33","-7","19","29","-3","11","-35","12","-12","-2","-3","-8","15","21","-11","16","-15","-4","17","-26","-2","24","27","18","-7","-1","3","-5","-15","4","32","-40","22","18","-9","23","0","14","7","26","-36","20","3","42","-12","26","-12","-11","20","-26","30","5","21","5","3","22","-8","-19","49","17","-5","-6","-44","40","-16","-4","9","51","21","6","29","11","45","4","-31","-4","-19","30","1","0","-28","-22","31","77","43","3","24","21","-5","-2","24","-11","17","17","-32","3","-8","-9","-14","-53","20","-2","-48","7","-6","11","-55","-13","8","13","-3","48","-5","27","7","-11","-25","-35","-11","4","8","-46","50","30","-32","-3","2","13","14","0","-65","-11","-34","8","31","43","-45","-11","-22","17","56","3","29","-35","9","1","1","-5","-31","-71","-21","-70","-8","-4","-4","-51","49","7","13","25","-4","17","-5","2","23","-4","18","-40","-43","27","32","37","2","16","-43","-14","-43","-17","15","-18","-3","30","3","-33","-12","11","33","-42","-39","5","-8","12","33","-39","24","19","-58","-14","-18","44","7","-61","23","58","-19","28","-11","-33","-10","-25","32","-28","-12","39","5","38","-38","-75","-27","-3","7","-6","22","-28","8","-20","-4","-29","-13","35","70","-8","-53","-7","-12","-73","57","-23","38","65","6","-49","-70","27","-6","52","16","-10","-16","-13","-25","-52","-16","0","36","-31","-47","18","1","-95","16","-31","-23","-3","-44","-8","-2","24","-51","-9","49","-5","9","93","33","-38","-10","6","-9","-35","21","53","-9","-15","-23","-5","-33","-60","-2","25","13","-121","14","-15","-23","3","-38","-51","91","-9","-3","21","-29","7","-37","15","58","-24","37","-4","20","-22","28","32","37","-32","2","-73","30","-34","31","-12","100","-83","35","-32","-4","43","17","3","-16","62","-5","-4","-11","-85","-46","-22","90","4","2","49","-29","10","22","-9","-31","45","12","7","0","0","-70","36","-35","56","-9","-68","15","-19","-22","21","9","117","21","-10","38","-8","23","0","-67","-62","39","-4","-69","11","-19","47","0","114","42","5","66","39","9","-32","-41","-55","-70","13","44","-71","-16","-4","104","-2","-42","13","-6","-5","-3","1","36","34","-19","-17","1","22","1","9","25","25","-54","-56","46","31","-76","-60","-9","6","-10","67","-62","16","-6","20","28","-18","16","27","-89","-95","-5","-31","8","-9","-28","-23","-15","7","58","52","4","2","95","1","9","-24","16","-46","113","97","-12","27","-5","34","-46","-15","25","-79","49","44","85","43","-73","-43","-8","-62","5","13","26","-61","69","-63","52","-50","25","-8","-13","63","-3","-12","-2","20","-16","50","-15","33","99","66","19","44","136","-52","20","32","-56","56","124","16","28","-12","28","0","51","22","75","-55","12","6","-19","134","-73","-32","40","-64","-11","-14","38","-72","-7","-60","-51","-68","98","71","22","-24","-20","8","-28","83","66","-40","22","87","-28","1","-12","-92","65","-63","60","9","-26","19","28","-55","112","26","-33","2","35","37","5","3","-80","-47","-40","49","73","16","52","128","-17","45","48","-154","-72","71","-65","-6","106","58","-7","-51","-81","82","60","-17","26","0","-2","84","-116","11","-5","40","1","44","42","-8","-124","45","28","-63","-65","-88","33","1","65","-30","26","1","-54","-8","-16","-14","-41","-7","38","-134","-93","34","60","28","-36","-3","44","33","107","12","11","48","54","12","47","-78","-16","31","25","-90","50","2","-62","2","-27","30","80","12","-44","-42","111","12","27","-41","2","33","85","1","-30","52","-16","17","52","27","-11","117","-47","-44","-105","-75","23","-28","-27","-8","-25","28","-41","-44","14","-27","-21","-3","-65","10","-70","-4","1","68","-38","-27","-5","-38","26","34","-4","-51","30","-10","8","27","-90","-59","-33","16","-28","-54","-146","23","-37","-36","-9","36","-22","14","-38","19","-19","57","-14","78","-4","120","47","-75","0","12","-54","27","15","-24","-36","-59","-7","-91","-26","9","46","-19","25","18","-37","40","55","-99","-38","-138","116","-9","-71","16","13","-22","11","-32","-2","90","-41","5","83","-1","-23","-74","79","25","14","22","17","-112","-14","18","-72","25","44","-96","46","-156","47","-80","-16","-37","46","60","17","24","2","-69","-6","6","-21","-74","24","-5","-37","48","-149","34","19","-28","32","92","0","97","-73","15","-18","26","5","-61","-74","-113","-21","91","-80","29","-3","29","-28","-9","6","-20","93","-4","-179","-189","31","20","35","95","8","6","29","43","-96","-43","-3","-73","60","37","42","51","-28","-86","-56","31","104","-44","68","9","-126","-5","-67","4","-30","36","125","-14","1","36","0","85","21","50","-82","88","-107","24","-1","50","-3","-4","30","-32","-101","-8","-49","-83","124","-47","-75","97","-51","-69","100","-82","61","25","-55","19","-55","35","-19","24","117","-61","9","-8","35","13","-74","-158","64","53","-4","77","61","-77","34","169","16","-49","-1","-87","-74","67","18","62","-66","-86","-31","-31","10","43","-114","-49","35","-60","-31","-124","0","7","-19","-6","9","-20"],"lmfdb":"agrees","space":"629.2.a","level":629,"weight":2,"T":[[2,1],[3,3],[5,5],[7,7]],"status":"proven","derived":{"al":[[17,-1],[37,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/629.2.a.e"}