{"label":"213.2.a","level":213,"weight":2,"dims":{"new":11,"cusp":23,"eisenstein":3,"modsym":49},"old":[[71,6,2]],"T":[[2,1],[5,3]],"status":"proven","checks":["dim M^+ at levels [1, 3, 71, 213]: [0, 1, 7, 26] (certified at ell = 2147483171)","T = [(2, 1), (5, 3)]; h of degree 11 = 1 x 11 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"213.2.a.a","letter":"a","dim":1,"charpoly":["-7","1"],"traces":["1","1","1","-1","2","1","2","-3","1","2","0","-1","-2","2","2","-1","0","1","0","-2","2","0","0","-3","-1","-2","1","-2","-2","2","-10","5","0","0","4","-1","-6","0","-2","-6","0","2","-4","0","2","0","12","-1","-3","-1","0","2","-4","1","0","-6","0","-2","12","-2","10","-10","2","7","-4","0","2","0","0","4","-1","-3","-10","-6","-1","0","0","-2","4","-2","1","0","-4","-2","0","-4","-2","0","6","2","-4","0","-10","12","0","5","-2","-3","0","1","10","0","16","6","4","-4","12","-1","10","0","-6","-2","8","0","0","2","-2","12","0","-6","-11","10","0","10","-12","2","-6","-3","-4","-4","-4","0","0","2","2","0","0","0","14","-4","12","-1","0","-1","-4","-10","-3","6","0","-1","8","0","0","0","-20","2","2","4","-4","10","0","1","6","0","0","-4","8","-6","-9","0","0","4","-24","-2","-2","0","12","6","12","-2","-26","-4","10","0","-12","-10","0","-12","2","0","-24","7","18","-2","-4","3","-12","0","-20","3","2","10","-4","0","0","16","0","2","0","4","22","4","-1","12","-8","-3","-20","10","-10","0","0","-6","-12","10","-1","8","4","0","-26","0","0","6","-6","-2","24","-12","4","0","12","-2","-10","-11","1","-10","-6","0","0","30","-4","-12","-20","-2","0","-6","0","-17","28","-4","-12","4","-2","-4","0","0","-8","0","6","-2","4","2","4","0","-4","0","0","0","-10","14","-10","-12","16","12","-2","1","0","0","0","5","-17","-4","-2","10","-26","-3","24","18","0","0","0","1","-8","8","10","0","20","0","26","0","16","-20","32","6","10","2","4","-4","16","-4","0","14","12","0","0","-1","2","6","10","0","24","0","-2","4","-6","8","4","-2","30","-9","8","0","0","0","-20","12","0","-24","24","2","10","-2","-2","0","-12","12","-2","-6","0","12","-32","-6","-19","-26","-11","4","-20","10","20","0","0","-12","-8","10","26","0","-12","-36","4","2","16","0","-6","-24","-4","-3","0","18","-4","2","16","-4","0","9","-4","-12","8","0","-14","-20","0","1","-24","2","20","-10","2","-4","0","0","-38","0","0","-16","24","0","-8","-10","14","0","-12","-4","6","22","12","12","0","-1","20","-12","0","-8","-32","-1","2","-20","-4","-10","0","-10","-26","0","-3","0","20","6","12","-12","0","14","8","-1","0","-8","8","4","-8","0","-18","-26","0","0","12","0","4","2","-20","-6","-20","2","4","24","2","-36","0","4","0","0","-4","12","-16","10","12","-10","0","11","-4","1","30","-30","6","-6","16","0","0","0","0","10","-2","-4","-8","12","8","-20","-40","-6","20","0","-9","6","6","0","-20","-11","0","28","32","4","0","-12","-24","12","18","-2","38","4","-2","0","0","0","-23","-8","12","0","0","6","24","-6","12","4","0","-2","-2","4","-26","0","20","-4","28","0","10","0","0","0","8","-10","-12","-14","-2","-10","8","-4","0","16","0","-12","16","-2","2","3","22","0","32","0","-24","0","0","7","6","-17","18","4","-8","-2","0","30","-4","-26","-12","3","0","24","-12","6","22","0","0","0","-20","0","-20","3","2","-8","2","-8","-22","10","-38","0","-4","20","-24","0","38","26","0","0","2","16","-26","20","0","32","12","2","-19","10","0","-2","0","4","-34","-12","22","16","-12","4","6","0","-1","-6","26","12","0","0","-8","0","-48","-3","0","2","-20","-6","20","10","-8","0","-10","24","-20","0","18","-2","0","12","0","-6","0","-8","-12","4","0","10","26","30","-1","9","-6","8","-4","0","4","0","20","0","0","-20","-26","4","8","0","-38","24","0","24","28","6","0","10","-6","2","-36","-2","0","0","24","-12","20","-12","-26","-2","4","-18","0","0","0","-12","12","-32","-48","-2","32","-19","-10","26","2","-11","-26","12","1","-20","0","-10","30","20","-6","0","0","0","-12","12","0","-8","-44","30","0","26","-4","0","24","-12","-26","-12","-20","4","16","-2","38","16","0","0","-8","-6","20","24","0","-4","-24","-17","-6","0","28","-18","24","-4","10","6","-12","16","0","4","0","0","-2","3","4","-4","0","12","0","8","16","0","-20","-14","-8","20","-18","0","0","-5","6","-24","0","-2","0","20","4","-30","-24","2","20","4","4","0","12","0","0","-38","-4","0","38","0","26","-48","0","24","24","0","26","-8","-10","-14","0","14","16","0","-10","-12","24","-12","-25","6","16","-22","-18","12","-22","4","-2","0","0","1","-26","20","0","-36","-6","0","-38","8","0","-32","-36","5","-48","2","-17","20","0","-4","-4","-30","-2","0","-24","10","-26","-26","-26","0","14","-3","-34","0","24","20","24","18","-12","12","0","12","0","0","24","-6","0","8","20","1","0","0","-8","-24","-52","8","-10","-4","10","-8","-28","0","0","-18","20","26","-8","0","42","0","26","12","2","0","6","4","16","-10","-50","-20","0","6","32","-20","0","6","-46","4","10","-24","42","2","0","-12","4","0","-4","-4","20","0","16","0","-6","-4","-48","-12","0","-16","0","14","69","12","12","10","36","0","6","33","0","-4","-12","-1","28","30","2","-10","38","6","0","6","10","16","56","0","-24","0","24","0","0","0","6","-50","-2","-2","-40","4","22","-8","-6","36"],"lmfdb":"agrees","curve":{"cremona":"213a1","lmfdb":"213.a","ainvs":[1,0,1,0,1],"rank":0,"torsion":2},"derived":{"al":[[3,-1],[71,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"213.2.a.b","letter":"b","dim":2,"charpoly":["76","18","1"],"traces":["2","-3","2","3","-5","-3","-4","-6","2","5","-8","3","-1","11","-5","13","-4","-3","-8","0","-4","7","-3","-6","5","-6","2","-21","3","5","8","-15","-8","11","5","3","-1","17","-1","5","-17","11","-15","3","-5","12","15","13","4","5","-4","21","9","-3","25","32","-8","-22","4","0","10","-2","-4","4","10","7","-5","-21","-3","-15","2","-6","2","14","5","-27","6","-6","-5","-25","2","23","-12","-21","5","30","3","4","-14","5","-13","-27","8","-15","15","-15","5","-26","-8","-30","0","11","-2","-27","5","-11","-17","3","10","-15","-1","-41","2","17","0","57","-1","-31","18","5","20","-15","-17","-18","0","11","-22","9","-15","5","16","3","26","-20","-5","32","10","12","-9","30","15","-3","19","13","10","-8","4","-39","-17","5","-31","44","-4","-19","-30","21","-2","5","9","30","21","-3","-24","-18","25","23","-12","32","-3","-15","-8","-45","6","-22","15","-37","4","31","-3","0","11","32","10","39","-10","-2","6","0","-4","-25","-6","4","24","-25","10","66","15","7","-14","35","-5","25","-41","-21","45","-27","-3","16","22","-15","26","6","2","28","30","-6","4","-45","2","-30","-13","14","-38","45","5","-8","-36","-27","18","-15","6","-79","-29","-6","-45","81","-5","-47","0","-25","15","10","2","15","10","23","-11","16","-12","-25","15","-21","-3","23","5","-9","20","30","27","-45","3","-4","3","4","-25","-69","-14","75","18","5","30","-41","-13","-10","-45","-27","25","21","8","-45","-15","-15","42","3","15","4","29","-15","-16","25","5","18","-25","-26","15","53","-8","28","-21","-30","45","29","0","-67","-25","11","-25","39","-2","10","-13","-27","12","38","5","0","-15","-11","23","5","-17","-54","26","3","-40","51","10","41","-15","-15","-31","-33","-1","3","40","-41","12","12","2","30","-52","17","-20","75","0","-9","6","57","24","-35","-1","45","-17","-31","-5","-51","18","32","-12","5","4","-39","20","-57","0","-15","-31","-42","-17","-15","-13","-18","-49","-19","0","-15","51","11","0","30","-22","29","-6","9","-5","-21","-15","60","4","5","21","-92","16","-40","15","3","9","36","26","-5","3","-20","-34","-75","-5","104","-21","32","-5","-40","10","87","-58","12","25","-15","-9","-33","-3","30","-60","-24","15","-17","15","-3","-20","-33","19","-45","18","13","11","-6","10","105","27","-8","-3","15","4","32","21","-39","25","37","-17","-38","38","5","73","18","-31","79","20","44","14","3","-4","45","-10","-19","-1","72","-30","46","-34","21","-45","30","-2","-112","45","5","5","87","9","25","-33","30","-37","-30","21","-90","5","-3","-31","-30","-24","30","-24","-18","-41","44","25","22","-4","23","30","75","-12","15","29","32","-25","-18","-3","-3","54","-15","-14","18","-8","-10","35","-45","-75","-68","6","50","-30","-22","-41","-36","15","-27","4","-37","-19","20","4","129","16","31","40","-95","-3","-12","24","0","40","-60","11","45","5","32","23","0","10","5","-47","39","5","5","-10","-36","36","-2","-15","55","6","50","35","0","0","-78","-4","-6","-2","-25","-63","-69","-6","-81","30","4","-3","4","24","-105","34","-25","-41","-26","10","-5","-18","66","-12","35","15","-44","38","7","-25","-33","-14","39","15","35","31","-120","-5","6","-90","25","34","75","-41","25","-30","-21","-78","45","45","-58","-6","-27","3","60","-3","22","48","16","0","-18","22","-108","27","-15","8","5","26","25","65","6","58","28","2","-35","-70","28","17","99","30","-69","9","-6","34","35","4","-81","-15","-45","-60","-103","2","45","-70","-30","-68","69","-13","56","-35","14","-57","27","-38","15","-40","45","17","-63","5","-27","39","-8","-45","-45","-36","18","6","-27","-30","45","18","-120","-12","-15","23","9","6","-54","15","-79","29","-21","-29","60","-36","-6","29","14","-45","-32","50","81","-22","5","-5","82","18","-47","-80","-87","0","-17","13","-25","-56","-46","15","84","-80","10","-47","89","2","10","45","15","68","29","10","45","75","23","-67","75","-11","37","-18","16","40","91","-12","39","39","-25","52","75","15","-79","95","-21","41","15","-3","-55","-25","23","-80","-69","5","-21","73","-9","76","25","20","-9","-64","30","70","-85","27","4","63","-45","-8","-54","3","86","-30","-4","17","75","3","-10","-14","4","-5","54","-25","-66","3","-69","-15","0","-14","28","2","75","-30","16","18","100","-60","5","37","-189","30","-16","45","-41","75","0","-13","-15","-36","-10","3","-114","-45","147","33","-27","50","-35","25","43","-48","21","45","33","8","32","70","-45","69","105","-15","-6","0","-15","40","51","42","-35","39","3","-7","55","15","61","93","4","34","45","29","-27","-5","-15","-15","36","-16","6","25","25","85","-150","5","-78","-50","18","-60","-33","-25","95","45","-26","48","-57","15","-19","32","53","24","-45","-8","3","-45","28","-20","7","-21","-62","-58","-30","-13","-57","45","-26","-5","29","-65","-129","0","-45","-25","-67","38","-81","-25","-63","8","11","54","-60","-25","85","-1","39","60","4","-2","-75","-76","10","-56","-51","-13","11","-5","-27","-13","110","12","45","22","38","18","101","5","-60","-60","0","14","-45","-15","-134","-42","-11","-5","-75","23","42","-10","5","10","53","-17","45","-75","-54","61","100","26","30","-6","3","33","29","-40","65","0","51","36","-120","10","6","37","41","-20","104","-15","-99","45","-15","-9","-30","-31","11","20","-33","-13","-90","-1","-100"],"lmfdb":"agrees","derived":{"al":[[3,-1],[71,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"213.2.a.c","letter":"c","dim":2,"charpoly":["-4","-2","1"],"traces":["2","-1","-2","-1","1","1","-6","0","2","-3","-4","1","-5","3","-1","-3","0","-1","-8","2","6","-3","-3","0","-7","10","-2","3","3","3","-4","9","4","5","-3","-1","3","-1","5","5","15","-3","-3","7","1","14","-5","3","4","1","0","-5","-3","1","3","0","8","6","0","-2","0","2","-6","4","-10","3","-17","-5","3","9","-2","0","-10","-24","7","9","12","-10","-1","-9","2","-5","-6","-3","-5","24","-3","10","12","-3","15","-11","4","-15","1","-9","-9","-2","-4","6","10","-5","22","-15","3","-11","-37","1","-18","1","-3","9","-6","1","-14","-9","-5","15","0","-5","-4","-15","-15","2","-6","3","-4","-25","3","15","36","-7","24","-4","-1","-10","6","-14","-11","-6","5","1","-5","-3","-6","0","-4","21","3","-1","25","10","0","9","-2","5","14","13","3","2","9","-1","6","-10","-3","3","10","0","9","5","-8","-21","6","-6","21","-9","0","-21","-3","2","13","-30","0","-25","24","-2","-10","20","6","7","24","-4","-2","27","10","-2","-13","-3","22","5","17","-15","-9","5","5","-21","-3","30","26","-9","-6","14","2","16","-24","0","12","9","10","-4","15","24","-2","-27","-7","8","0","-9","10","17","-12","-15","39","10","15","-15","1","-15","-28","9","-45","22","-2","15","2","5","5","0","6","23","-31","3","-19","-13","5","7","8","-24","-9","-5","3","-28","-39","-10","11","3","-12","21","-6","3","-14","15","-15","-18","19","11","5","-7","-4","-15","-27","15","-34","1","-1","0","-45","9","-24","3","9","10","5","2","-15","45","4","6","45","-6","9","5","-10","-3","15","5","-19","-21","-22","6","51","15","-32","-2","-3","-12","-47","11","-21","7","37","-42","-10","-1","10","-33","18","-5","15","-1","-1","3","3","-25","4","-9","2","-42","6","0","8","-1","30","-45","14","37","-6","9","-26","-3","5","-23","-13","-15","-1","9","0","-16","18","5","4","21","4","15","0","15","21","42","15","-27","9","-2","-53","-5","6","35","15","-3","-8","-8","4","-27","10","25","-9","31","-3","-18","-40","-15","25","0","-36","-6","-13","7","-23","4","-24","3","51","4","10","5","1","-18","39","10","-17","-20","-6","-1","0","14","-3","-15","11","17","-43","6","-30","48","-5","25","-5","-1","0","21","5","27","16","3","39","-6","6","9","-13","0","55","-5","4","-20","-15","-21","21","31","-3","-12","-42","1","-35","-2","-25","25","30","-10","32","5","0","-3","14","-9","35","18","2","-2","-6","-5","51","-10","-14","-30","-39","-13","33","15","-3","39","-9","-2","-75","30","-9","-18","-27","1","23","30","-6","-6","-56","10","15","-20","3","6","6","-3","-10","-17","-10","43","15","0","15","-8","-9","17","26","-5","30","24","8","-14","21","21","45","72","-6","-20","58","6","-13","-8","-21","-3","0","9","21","-8","0","-27","-30","21","-16","25","3","68","-8","-2","-38","-8","-13","5","-9","30","-25","12","0","13","-27","25","3","-35","-24","18","6","2","75","27","10","-24","-53","-20","-8","-18","-6","0","-12","-7","-23","5","-24","15","-2","4","29","12","2","3","18","-27","31","10","-10","-45","6","2","16","15","13","-72","-12","3","15","-9","-22","-65","-5","-5","-23","-72","-17","-30","-22","15","36","-41","9","-15","-40","-5","-30","17","-5","-30","6","21","-17","-4","3","-18","-36","-30","12","46","-26","-12","-45","9","26","-25","6","21","13","-14","-10","-12","-2","-15","-66","-16","73","33","24","-15","-27","0","-30","-25","-12","27","-11","-9","28","-15","-10","45","24","4","-32","-47","-15","0","-3","-24","33","15","2","13","30","27","-13","-31","7","33","-21","-8","27","-5","0","6","-38","9","18","-15","-10","72","-30","-17","-49","-43","12","-22","7","15","5","43","-39","-18","-36","-10","33","2","-15","-26","-30","15","80","3","-1","30","6","15","0","19","28","31","55","-9","-66","38","45","-34","-18","-22","53","45","2","10","45","-15","-30","-63","-2","-1","59","-5","13","3","-5","33","-18","0","-6","19","-6","15","111","-23","-20","-45","31","-15","-5","-3","-25","29","19","-15","-13","13","54","3","-5","-15","45","-7","-58","-3","-8","-29","-4","24","14","-45","9","0","-65","5","4","-20","-3","-6","2","28","9","19","39","14","18","10","-45","54","-11","-26","57","-3","-35","-34","12","-18","30","-21","42","-20","6","20","0","-3","29","27","14","18","33","-15","-33","-14","15","15","74","18","35","20","-19","-45","45","-11","10","9","-5","-25","0","7","25","-43","4","24","58","15","-31","45","27","-42","42","-15","12","-33","34","-15","-117","-1","-15","45","1","5","95","0","36","-3","45","57","-37","-9","-37","-12","24","-6","-23","-3","5","0","-9","-36","18","-10","-40","-5","-5","3","-9","-2","18","5","15","45","24","-45","12","-33","-4","-29","55","-6","16","75","-45","6","-6","6","-25","-25","-9","-10","-21","-5","17","-25","10","-45","19","3","12","-61","-15","-15","-108","-5","-48","-20","19","-17","5","21","12","10","22","21","24","-6","-16","-37","-51","-67","5","-15","21","12","32","-5","-54","2","-10","45","3","-18","12","12","10","11","47","30","8","-11","27","-11","21","-48","-18","-7","-54","105","-37","15","-31","42","-49","-40","10","36","12","1","33","1","-10","-45","-18","33","6","4","-18","18","105","5","6","0","-15","15","117","1","-35","-18","1","-3","-4","-3","-29","-10","-3","-40"],"lmfdb":"agrees","derived":{"al":[[3,1],[71,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"213.2.a.d","letter":"d","dim":2,"charpoly":["-12","2","1"],"traces":["2","1","2","3","-1","1","-2","6","2","-7","6","3","-3","-1","-1","-3","6","1","-4","-8","-2","3","3","6","-3","-8","2","-3","7","-7","4","-7","6","3","1","3","-1","-15","-3","-3","3","-1","13","9","-1","-18","-9","-3","-12","5","6","-11","5","1","-3","-6","-4","10","-6","-8","-24","2","-2","-4","8","3","13","9","3","7","-2","6","-2","6","-3","-19","-6","-8","-9","-5","2","21","20","-3","-3","26","7","18","6","-7","3","-15","4","15","15","-7","9","-6","6","2","-20","3","-18","-9","1","35","-9","3","-6","-21","-1","3","2","-15","18","17","-3","-3","-6","-3","-4","1","3","6","0","-1","32","-27","13","17","20","9","4","26","-1","18","6","-18","7","8","-9","-1","-9","-3","-10","-40","-12","5","-3","5","-11","-12","6","-3","-2","-11","-26","-11","5","10","-3","1","2","24","-3","23","20","-6","-15","-21","-4","39","-12","10","3","-9","-6","3","-39","-8","-21","8","-24","9","-6","2","18","6","-2","27","-6","-4","-10","37","8","-18","9","3","-6","-9","13","-23","-7","9","-21","-35","3","-2","-12","7","6","40","-2","-24","-26","6","-4","-29","-2","-24","-9","6","2","7","-3","-64","34","-19","6","9","-6","21","-45","-8","-15","-9","-9","-3","18","-5","-23","-2","2","-23","6","21","19","12","20","39","31","-3","9","3","-3","-25","4","26","1","25","7","-16","27","18","-35","15","6","39","-14","-7","-6","-9","3","42","-9","-15","25","23","4","3","-5","15","30","-3","15","-24","-3","-7","-16","-31","9","-42","-5","-6","3","-3","6","18","15","2","-13","53","-20","-7","-1","3","-5","-9","-18","-14","-13","-9","-36","26","1","-20","-23","35","21","41","-9","18","-12","3","-2","27","-6","9","9","-21","45","43","-1","23","-26","3","2","12","2","-24","12","-15","26","39","18","-45","30","17","18","-5","-3","-21","33","-3","1","9","-6","0","4","-3","-4","-17","-4","11","40","1","-11","-24","3","-3","-5","6","19","9","0","-27","-17","-1","-24","42","32","-3","-40","-27","3","-57","13","46","16","17","9","-36","20","-54","11","9","39","-68","4","11","33","26","-6","-43","-1","-10","-3","18","27","-30","6","-53","6","-18","-23","17","7","-45","9","8","2","16","-9","15","-9","-1","24","-33","-9","-65","-14","-3","25","-2","-10","-35","33","-40","-39","-9","-12","-24","-19","5","-3","-51","-3","4","38","5","9","-62","-11","43","-8","-12","-4","55","6","27","-12","-3","3","-4","-2","-42","-20","-11","-13","12","-26","-18","39","-11","-7","-9","5","9","-43","10","-5","8","-3","-6","-37","1","5","-72","2","42","-8","24","21","42","-3","-6","2","23","30","39","20","-17","-7","-6","23","-54","-15","35","6","-21","2","22","-4","-50","35","39","-27","-6","-12","24","18","10","25","4","3","33","12","-9","17","-50","-6","19","-24","3","24","39","-39","-20","-36","-8","-6","88","-21","-21","29","8","15","48","-24","15","-27","9","9","-7","-6","30","40","2","-39","5","18","4","3","6","64","-50","-2","-6","-14","27","49","-33","-6","-21","-24","-4","-43","-8","-10","-41","-20","37","15","-6","8","43","30","-18","-8","21","9","8","34","3","3","15","-6","27","-47","-9","19","-26","13","42","2","-23","12","27","-7","71","-6","9","22","-61","-21","-18","-46","-35","45","-16","3","26","-6","-2","-24","34","-12","0","-3","7","34","-27","6","-5","-3","40","18","30","-2","33","38","-24","-7","15","-26","-45","-39","6","-18","-1","-4","29","-61","-29","16","15","-2","-15","-14","-24","20","55","-9","60","-15","6","-9","43","2","-65","-72","7","1","105","-3","-3","75","-64","-9","-9","34","6","44","-19","-42","13","6","0","-40","9","-27","-57","-6","54","-23","21","9","-17","-45","-2","0","-8","-11","-12","-15","-42","20","-9","12","7","-9","18","6","-3","24","-39","18","67","-27","-5","18","50","-23","-38","-4","-2","27","9","2","46","39","-23","26","53","6","9","39","21","-43","-9","19","-35","10","12","-18","107","20","27","9","39","-36","33","31","-41","-53","-3","1","-77","9","45","67","3","6","-9","-3","-85","9","-25","-82","21","4","-67","54","26","-6","27","1","112","-45","25","-6","-54","7","18","-26","-16","-67","-45","27","38","-2","18","23","52","-35","-74","-81","15","-27","4","6","-42","-6","39","-18","-16","-14","-60","30","-7","1","-17","-6","18","-27","-9","-65","-32","3","-51","56","42","-59","-54","-9","3","-45","-15","-38","-83","25","45","-36","23","-23","-57","4","24","54","3","-27","-51","-5","22","-12","15","4","25","30","15","-21","-3","45","-1","15","-27","9","-24","36","-91","-3","-59","51","-7","45","110","-16","-6","-27","-31","-39","-18","9","36","0","-42","0","13","-5","-15","29","-6","10","-33","3","23","-24","-3","-32","-21","6","-49","-21","18","0","27","15","-46","14","2","15","63","-13","6","17","53","43","77","-20","-17","11","-7","60","-93","-1","61","-20","3","-4","54","-5","-123","3","-9","8","112","-18","-31","28","-14","24","-87","-13","55","-9","-9","-53","-26","-36","-3","6","26","-54","9","1","78","44","-20","42","3","-23","-18","18","35","3","27","21","-28","-6","41","-54","-9","-9","-15","57","18","17","-12","-12","-64","-30","3","-7","-69","-2","49","-40","27","18","48","-6","-134","29","9","54","30","9","61","-39","-21","-1","-14","45","1","68","43","-9","-50","-1","0"],"lmfdb":"agrees","derived":{"al":[[3,-1],[71,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"213.2.a.e","letter":"e","dim":4,"charpoly":["76","106","-89","6","1"],"traces":["4","3","-4","5","-3","-3","6","12","4","5","2","-5","5","1","3","11","-8","3","8","-6","-6","-7","-1","-12","-1","-12","-4","-9","-5","-5","2","17","-2","-21","5","5","19","3","-5","-23","-19","-1","25","-19","-3","12","7","-11","-6","-31","8","-13","-5","-3","3","-8","-8","-34","10","6","2","4","6","34","-16","7","35","-45","1","11","4","12","2","20","1","13","16","12","-1","-5","4","-5","18","9","11","20","5","-40","-16","5","11","41","-2","-5","-15","-17","-1","-10","2","-16","-10","21","6","-17","-5","-3","35","-5","-10","31","-19","-13","-12","-3","-16","-21","5","-17","8","23","-10","53","19","-40","-30","1","4","51","-25","47","8","19","6","44","3","-34","-4","-12","-25","4","-7","3","31","11","-42","20","6","33","-13","31","-11","86","-8","25","46","13","6","1","5","-38","-31","3","18","2","-3","-45","-54","8","-5","-25","8","55","-2","34","-17","-89","-10","-61","17","-6","-19","14","-2","41","-12","-4","-14","34","-6","-37","-16","-34","-4","9","16","-52","-21","-7","10","-7","-35","-19","-23","45","7","3","-1","-84","-52","-11","4","-22","-4","-4","-40","-12","48","53","-2","30","-25","-20","-22","-43","-1","-14","42","-13","2","1","-16","-19","11","-12","-51","-13","1","-27","-18","5","13","34","-4","81","38","5","-37","-94","-18","39","-23","-9","-15","17","-11","101","6","-20","25","21","-5","72","33","40","21","-57","16","91","20","-5","-22","13","-11","-68","19","-41","25","-7","2","1","-27","5","32","5","15","36","-45","17","58","59","1","54","37","10","-31","49","-2","-26","1","16","15","-51","10","181","23","-21","15","27","-6","10","27","17","-4","-74","5","-28","-33","3","17","-77","-35","-2","84","5","64","-39","10","-39","-25","-31","-43","-89","19","35","-38","13","20","-50","12","2","56","3","-12","135","16","43","46","21","-20","-11","-5","-125","-1","17","-3","-51","-8","0","18","-23","102","-9","10","23","-16","-53","-51","24","-19","33","9","40","-17","-1","30","47","59","-1","4","-68","-4","21","8","-51","7","67","25","44","-22","-47","-83","-76","-8","50","31","-19","-9","0","-6","-107","31","-44","10","-11","-3","-12","21","34","-5","-18","4","19","16","12","-19","-87","25","-135","-39","-4","56","-62","7","7","-23","-3","-24","29","-31","15","72","-11","-23","58","42","37","-43","-20","25","19","-6","24","41","-33","-55","-13","13","-60","8","-31","-11","-20","11","33","-6","-86","50","9","8","-13","-38","-25","43","-118","-46","-74","20","-13","23","64","-6","68","-25","-1","-31","-57","-5","-105","-47","38","33","-68","31","56","-25","-3","-47","100","-18","-22","-36","-2","-15","-98","3","-112","6","45","-54","51","54","51","43","-8","-17","-44","5","-39","-2","25","-30","108","-8","64","-19","-55","13","22","2","-34","22","-34","-5","104","17","105","16","89","-5","-62","10","-121","-18","61","-72","169","-17","-10","16","6","-44","-24","19","-59","79","-14","15","-110","2","-5","-39","-41","27","25","12","42","86","4","15","17","14","56","39","-34","4","-76","6","12","-24","37","-99","81","16","3","36","34","109","76","4","27","80","-9","-41","42","-16","19","-50","52","-76","-3","21","20","8","7","-5","-55","-10","-45","-75","7","-35","-30","35","-106","22","19","24","211","23","-89","64","-45","-22","137","-7","26","26","-3","-17","52","1","42","-42","84","62","26","52","-144","-83","11","-14","-125","-4","-19","69","22","-22","2","4","9","62","4","29","45","40","29","-35","12","-34","-69","-48","-5","-19","-53","32","-55","2","1","40","-30","64","-175","25","-92","1","20","37","87","22","21","-66","43","19","-59","1","-5","-25","14","-37","91","-42","154","4","13","-22","5","-2","160","-62","-1","55","-47","16","82","-31","19","-27","59","-11","42","10","12","-15","-144","51","22","-28","13","-62","5","-1","-22","-78","27","-40","-21","18","35","-17","-5","-4","182","-13","36","158","-34","-143","25","4","14","-45","-81","-32","-51","-38","111","-17","-5","13","-17","37","-39","-10","94","16","-49","18","43","37","-39","-34","-55","23","-57","15","9","-41","-75","15","-67","-31","-17","-4","7","11","17","-3","-101","0","17","-6","125","12","20","-88","103","-25","-38","-85","-21","2","-44","5","-40","-10","-72","81","-7","-33","62","-18","-40","-89","36","-21","50","-31","57","-119","-62","-16","46","-2","-91","-18","144","-20","-64","-48","5","-31","51","22","-8","-91","-13","115","-22","11","27","-30","68","-109","24","-19","-61","87","41","-6","121","-25","-67","102","7","37","-209","-2","-56","-86","-1","47","49","27","-100","-90","-5","-42","119","-32","137","23","-5","1","-15","-15","101","-1","-36","-60","-75","45","49","-33","-17","135","18","-58","18","93","-59","21","-72","-1","74","-72","-54","-88","27","-37","77","-1","-10","22","41","31","111","8","-49","64","39","2","-101","-65","26","4","-7","-1","104","-90","-16","135","23","-15","-56","-35","51","-81","41","-10","23","-69","-181","102","-29","-23","-15","-16","21","0","-70","-15","-67","5","-27","0","-6","6","-79","-16","-10","20","-29","-27","45","-31","-17","-59","-8","4","-1","-30","74","62","121","-5","-140","44","28","14","-33","33","66","-24","-3","51","-181","-17","-186","34","77","72","-41","35","-41","13","2","-31","24","-84","-46","116","-5","-99","-151","-64","231","22","39","-16","28","-10","66","-7","39","128","158","25","-141","25","31","83","-244","43","1","-60","89","59","-62","-19","44"],"lmfdb":"agrees","derived":{"al":[[3,1],[71,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.307,"computed":"atlas","estimate":{"seconds":0.235,"low":0.143,"high":0.406,"bytes":1904689},"url":"https://sagebrush.space/atlas/mf/213.2.a"}