{"label":"753.2.a","level":753,"weight":2,"dims":{"new":41,"cusp":83,"eisenstein":3,"modsym":169},"old":[[251,21,2]],"T":[[2,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 3, 251, 753]: [0, 1, 22, 86] (certified at ell = 2147482501)","T = [(2, 1), (5, 1)]; h of degree 41 = 1 x 41 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"753.2.a.a","letter":"a","dim":1,"charpoly":["-1","1"],"traces":["1","0","1","-2","1","0","-5","0","1","0","6","-2","-6","0","1","4","3","0","-6","-2","-5","0","-7","0","-4","0","1","10","-6","0","-5","0","6","0","-5","-2","-2","0","-6","0","-7","0","-6","-12","1","0","0","4","18","0","3","12","10","0","6","0","-6","0","6","-2","4","0","-5","-8","-6","0","5","-6","-7","0","14","0","-5","0","-4","12","-30","0","-5","4","1","0","-1","10","3","0","-6","0","6","0","30","14","-5","0","-6","0","-10","0","6","8","15","0","-16","0","-5","0","-8","-2","4","0","-2","-20","1","0","-7","12","-6","0","-15","0","25","0","-7","10","-9","0","10","0","-6","0","-9","-12","30","0","1","0","18","0","-2","10","0","0","-36","4","-6","0","18","4","-10","0","-16","0","3","0","-5","12","-4","0","10","0","35","0","-10","14","6","0","2","0","23","0","-6","12","3","0","20","24","6","0","-9","-2","-6","0","4","0","-2","0","18","0","-5","0","8","-8","10","0","-6","-36","-7","0","-8","0","5","0","30","-6","-7","0","-7","-24","-36","0","-4","-20","14","0","-6","0","25","0","-5","-12","-18","0","-16","0","-4","0","19","12","10","0","-30","0","-6","0","0","-12","-5","0","-6","4","-1","0","1","-8","18","0","36","0","-1","0","1","10","-42","0","3","16","8","0","10","12","-6","0","16","0","10","0","6","-10","0","0","-5","12","30","0","-24","14","14","0","-5","0","32","0","-28","-28","-6","0","35","0","-8","0","-10","10","-24","0","6","0","6","0","42","8","30","0","15","-24","4","0","-2","60","-16","0","7","0","2","0","-5","10","-34","0","-36","-8","-8","0","-18","-2","24","0","4","0","0","0","5","2","-2","0","5","-20","-15","0","1","-6","-30","0","-55","0","-7","0","-36","12","14","0","-6","0","14","0","14","-12","-15","0","27","0","17","0","25","-60","-5","0","-28","-28","-7","0","-50","10","9","0","-9","0","36","0","0","12","10","0","4","0","-30","0","-6","20","-10","0","-21","0","-9","0","-5","-12","-14","0","30","-16","-14","0","30","-30","1","0","-12","0","-24","0","18","32","-30","0","-1","0","-2","0","-22","10","12","0","0","0","-12","0","-20","16","-36","0","0","4","-10","0","-6","-8","42","0","12","0","18","0","21","4","6","0","-10","40","34","0","-42","-2","-16","0","30","0","-18","0","3","14","-18","0","-10","-24","-5","0","-18","12","-25","0","-4","0","-36","0","24","30","10","0","-24","0","12","0","35","-50","-10","0","-14","0","-10","0","-21","14","-18","0","6","-20","-70","0","-14","18","2","0","33","0","15","0","23","-20","30","0","25","0","-6","0","-16","12","0","0","3","0","-6","0","5","18","20","0","-15","24","26","0","6","-60","42","0","-8","0","-9","0","108","-2","19","0","-6","0","4","0","-1","-36","4","0","36","0","25","0","-2","4","-12","0","36","-20","18","0","28","0","1","0","-5","0","11","0","-45","72","8","0","28","-8","1","0","10","12","5","0","60","0","-6","0","-35","-36","30","0","-7","-8","41","0","-15","20","-8","0","-24","0","-2","0","5","32","25","0","7","0","30","0","0","-6","-32","0","-7","0","-6","0","-1","10","-7","0","-30","-24","11","0","-36","8","-6","0","36","0","-4","0","10","-20","-108","0","14","0","4","0","-8","-70","-6","0","12","0","36","0","25","20","48","0","-9","-28","-5","0","-24","-12","20","0","-18","0","30","0","42","-4","-16","0","24","0","24","0","-4","-46","35","0","50","0","19","0","35","12","18","0","10","-24","-60","0","12","-6","-30","0","-2","0","-21","0","-6","-40","-34","0","12","-48","0","0","-75","-12","-27","0","-5","0","35","0","-36","18","-6","0","-12","4","80","0","-1","12","24","0","-17","0","1","0","-18","-8","22","0","18","0","30","0","-20","4","36","0","-12","0","-10","0","-1","-36","40","0","-40","0","1","0","-16","10","5","0","-42","0","0","0","-20","-16","3","0","-36","16","-2","0","8","-20","-49","0","20","0","10","0","42","12","84","0","-6","72","-4","0","2","14","16","0","-5","0","-24","0","10","16","6","0","0","0","6","0","-30","-10","35","0","0","0","12","0","48","-60","-5","0","-10","12","36","0","30","14","-21","0","10","0","-24","0","36","14","6","0","14","48","54","0","2","72","-5","0","5","0","7","0","32","8","23","0","-125","40","-28","0","14","-28","-47","0","-6","0","-28","0","-39","12","35","0","-3","0","3","0","-8","-50","-30","0","-30","0","-10","0","45","10","42","0","-24","24","-26","0","-24","36","6","0","-16","0","-50","0","6","32","0","0","-9","0","42","0","30","8","30","0","30","0","-6","0","-27","-38","15","0","16","-24","-6","0","4","-20","45","0","-38","0","-2","0","-84","60","8","0","-16","0","48","0","-108","12","7","0","18","0","-54","0","2","0","-54","0","49","24","-5","0","-23","10","30","0","-34","0","-2","0","8","12","-36","0","-90","-8","-6","0","-8","2","10","0","-39","0","-18","0","20","-2","10","0","24","16","2","0","36","-36","4","0","-28","0","-7","0","0","-72","42","0","24","0","5","0","-8","2","44","0","-2","0"],"lmfdb":"agrees","curve":{"cremona":"753c1","lmfdb":"753.a","ainvs":[0,1,1,5,7],"rank":1,"torsion":1},"derived":{"al":[[3,-1],[251,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.b","letter":"b","dim":1,"charpoly":["-3","1"],"traces":["1","0","1","-2","3","0","-1","0","1","0","0","-2","2","0","3","4","-3","0","8","-6","-1","0","3","0","4","0","1","2","0","0","-1","0","0","0","-3","-2","2","0","2","0","3","0","-4","0","3","0","6","4","-6","0","-3","-4","6","0","0","0","8","0","6","-6","-10","0","-1","-8","6","0","5","6","3","0","-6","0","11","0","4","-16","0","0","-1","12","1","0","9","2","-9","0","0","0","-6","0","-2","-6","-1","0","24","0","-16","0","0","-8","-3","0","-4","0","-3","0","-6","-2","2","0","2","-4","-21","0","9","0","2","0","3","0","-11","0","3","2","-3","0","-4","0","-4","0","-3","0","-8","0","3","0","-6","0","14","6","6","0","0","4","0","0","-6","-4","18","0","-10","0","-3","0","-3","-4","-16","0","6","0","-3","0","-4","-6","0","0","0","0","-9","0","8","8","-15","0","-4","0","6","0","9","-6","-10","0","-10","0","6","0","0","-12","-1","0","0","-8","-4","0","6","12","15","0","-16","0","5","0","0","6","9","0","3","8","0","0","-4","-12","-6","0","-12","0","1","0","11","0","-6","0","8","0","4","0","21","-16","-4","0","0","0","6","0","18","-12","-1","0","0","12","-13","0","1","20","-18","0","16","0","9","0","-1","2","0","0","-9","16","0","0","-2","-12","0","0","-24","0","18","0","-6","-10","-6","0","-25","-12","-2","0","0","-6","26","0","-1","0","-18","0","-4","12","24","0","-3","0","-8","0","-16","-22","12","0","18","0","0","0","6","-8","4","0","-3","32","-30","0","2","0","-4","0","21","0","-16","0","-3","2","30","0","0","-24","-6","0","-24","-2","8","0","2","0","-6","0","-19","-18","2","0","15","-4","-7","0","-21","18","0","0","13","0","9","0","18","0","-10","0","2","0","24","0","-18","12","3","0","33","0","45","0","-11","4","33","0","-28","12","3","0","-6","2","29","0","-3","0","0","0","26","-48","-4","0","6","0","0","0","-4","32","6","0","-9","0","-3","0","-3","0","-22","0","-8","16","36","0","-2","6","3","0","0","0","20","0","-6","8","-6","0","27","0","14","0","30","6","32","0","6","0","-12","0","10","12","0","0","36","4","-16","0","0","-4","24","0","8","0","-6","0","3","-4","-18","0","18","8","-18","0","0","42","-10","0","-6","0","-22","0","-3","-18","-12","0","8","0","-3","0","6","-4","-5","0","-16","0","0","0","32","-6","6","0","-18","0","4","0","-3","22","-48","0","-16","0","-4","0","-27","-6","0","0","0","-4","6","0","32","6","0","0","-21","0","-9","0","-9","8","-6","0","-11","0","8","0","-12","8","0","0","-15","0","-30","0","29","6","-4","0","3","0","-14","0","6","16","6","0","-18","0","9","0","0","-6","-13","0","-10","0","6","0","-1","12","-10","0","0","0","1","0","6","-28","36","0","-8","-12","0","0","-18","-12","-63","0","-1","0","-15","0","-25","0","0","0","12","-8","-7","0","-4","0","-9","0","0","0","6","0","-9","12","-8","0","15","8","-33","0","9","-36","-16","0","12","0","-10","0","5","20","-33","0","23","0","0","0","12","6","-34","0","9","0","6","0","-1","6","3","0","6","8","-29","0","0","32","-6","0","-28","0","-4","0","-12","-12","-12","0","-6","0","-42","0","32","6","-12","0","-42","0","0","0","1","8","42","0","-9","12","11","0","-48","0","-22","0","-6","0","-24","0","0","0","8","0","0","0","50","0","4","18","9","0","16","0","21","0","9","-16","-18","0","-4","-16","12","0","-4","30","0","0","42","0","-9","0","6","8","-12","0","16","0","18","0","3","-12","5","0","-1","0","-3","0","0","-18","0","0","0","12","4","0","-13","20","0","0","-1","0","1","0","12","20","20","0","-18","0","0","0","20","-12","16","0","-24","0","54","0","9","0","6","0","8","24","-1","0","-30","2","-7","0","0","0","-30","0","-2","0","-9","0","12","16","14","0","0","8","-51","0","-4","0","-2","0","24","-12","0","0","0","-24","-48","0","50","-30","-24","0","21","0","-20","0","18","32","12","0","-18","0","-6","0","0","-10","-9","0","-6","0","24","0","-28","0","-25","0","-12","-12","-32","0","-2","-18","-3","0","26","0","0","0","36","-6","-28","0","26","-16","18","0","0","0","-1","0","-21","0","-29","0","-18","8","-27","0","11","24","-4","0","6","12","53","0","24","0","-18","0","-43","24","-3","0","39","0","-45","0","-8","-2","0","0","10","0","-16","0","3","-22","2","0","12","0","54","0","-28","12","18","0","12","0","4","0","0","-16","48","0","27","0","6","0","0","-8","-18","0","4","0","-30","0","-31","-42","-3","0","-54","32","0","0","-30","8","3","0","-16","0","2","0","-12","0","8","0","-4","0","0","0","-48","-12","21","0","0","0","-28","0","-16","-36","24","0","9","24","-3","0","-21","2","22","0","30","0","0","0","0","0","0","0","6","-24","-30","0","-6","26","-12","0","41","0","-24","0","-12","-2","-14","0","8","-40","-18","0","0","36","2","0","18","0","45","0","-6","-32","-12","0","20","0","-19","0","-48","-18","8","0","2","0"],"lmfdb":"agrees","curve":{"cremona":"753b1","lmfdb":"753.b","ainvs":[0,1,1,-9,20],"rank":0,"torsion":3},"derived":{"al":[[3,-1],[251,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.c","letter":"c","dim":1,"charpoly":["-5","1"],"traces":["1","2","-1","2","3","-2","-1","0","1","6","6","-2","-2","-2","-3","-4","5","2","-4","6","1","12","7","0","4","-4","-1","-2","-4","-6","3","-8","-6","10","-3","2","-8","-8","2","0","3","2","4","12","3","14","12","4","-6","8","-5","-4","-12","-2","18","0","4","-8","0","-6","-10","6","-1","-8","-6","-12","-7","10","-7","-6","4","0","-1","-16","-4","-8","-6","4","-17","-12","1","6","9","2","15","8","4","0","-6","6","2","14","-3","24","-12","8","-12","-12","6","8","1","-10","8","0","3","-24","-8","-2","8","36","8","4","-9","8","21","-8","-2","0","-5","0","25","-20","-3","6","-3","-2","0","0","-4","-12","-15","-12","4","-14","-3","0","0","-14","-16","-6","-12","8","-12","-4","-12","-2","6","-16","18","-8","8","0","5","-12","9","4","-16","-34","12","-24","-7","2","-6","6","-18","18","18","0","-9","30","-4","8","5","8","-4","-24","0","-12","-15","6","22","4","10","0","-24","-6","30","24","1","-24","-2","8","16","-24","6","-12","7","12","-20","0","7","2","4","-10","9","16","7","8","-24","6","-8","-24","-4","-16","12","0","-3","16","1","36","-10","16","26","8","4","-18","21","8","22","42","6","0","-2","-4","36","0","17","-10","-16","12","-5","50","-1","-20","-18","-6","8","0","-9","-6","1","-2","42","0","-15","16","-6","-8","8","-12","-4","-30","4","0","-36","8","6","-14","-20","-6","19","-20","-2","0","24","-14","2","-32","3","0","6","-24","10","8","12","-24","-3","-8","8","-24","12","-2","26","12","0","0","-6","36","-14","-8","-4","16","-1","16","-30","10","20","-12","-8","18","29","0","-6","-32","-3","-34","18","24","-24","-24","8","-14","-20","2","-8","-12","-8","0","-12","-36","-7","18","-8","36","-21","-4","29","-18","9","30","18","-8","13","0","-21","10","28","8","22","-8","2","-48","32","0","12","-12","5","-30","5","0","-3","44","-25","4","-3","20","-8","-28","3","-48","12","-6","-11","60","3","0","8","2","-10","-24","0","-4","2","0","-18","32","4","-24","-22","12","35","0","15","14","-51","12","-20","-40","-4","-16","-12","14","-6","2","3","8","-48","0","-10","18","0","16","0","14","27","16","16","-48","18","6","-28","-16","12","0","20","-8","10","-16","12","24","-12","4","-26","-6","12","16","-28","2","0","0","-6","-20","-33","16","-18","52","-18","8","14","8","18","-18","-8","42","6","0","-32","44","-5","42","0","12","-42","16","-9","-4","36","-4","7","72","16","0","24","34","-16","-10","-12","-32","-18","24","16","-10","7","50","-36","-2","20","0","6","-36","-27","-6","-20","16","18","-12","-4","-18","-6","-6","-18","2","31","0","3","84","9","0","-2","-30","1","32","4","-12","24","-8","72","16","-5","0","26","-8","-23","-30","4","8","15","24","26","-72","0","8","-6","12","-24","0","15","-40","-36","-6","27","38","-22","-40","24","-4","-17","0","-10","48","16","0","17","4","24","-32","28","6","-8","12","-30","12","-6","-24","-27","20","-1","0","33","24","-5","-24","2","-6","28","-8","-7","16","-16","-24","-9","24","-72","0","-6","52","-25","12","-12","0","-7","32","27","-12","-15","36","20","-28","-2","0","-14","-8","-7","16","75","-2","-17","32","-4","-60","-24","10","-4","40","-9","0","-10","-16","35","18","-7","58","6","-8","-29","-12","24","-32","-40","-6","-34","0","8","36","0","24","12","-48","4","0","14","16","-16","-14","-12","-40","30","0","0","-16","3","-12","-48","-16","-45","-12","-1","-24","0","-36","-26","-14","10","0","12","-16","-28","36","-26","-42","-60","-8","-22","58","-4","-18","-27","18","12","0","-21","36","21","-8","0","26","-22","-16","24","-42","-4","10","-6","56","-48","0","15","44","2","-8","-30","4","32","-48","-36","64","-1","0","29","24","-17","0","21","10","-36","-30","16","10","24","-12","-8","-6","5","44","-16","-50","23","0","1","-6","20","20","16","-16","18","-56","-42","6","4","-48","-8","24","16","0","54","-22","9","60","8","6","-36","-48","-1","16","24","2","-7","-20","-42","0","-30","0","-8","-4","15","4","0","-16","34","-36","6","32","21","8","12","0","-8","-44","-12","12","24","70","4","24","-48","30","-52","14","-4","-102","9","0","20","-40","36","-40","42","-8","60","-32","-6","-24","-6","14","-21","-12","20","0","12","6","-4","8","-19","-96","-18","20","-16","-20","2","18","-3","0","-48","0","-24","0","52","14","20","54","-2","16","-30","32","54","-48","-3","36","-45","0","-13","-56","-6","-16","-27","24","-25","48","-10","40","-56","-8","-7","20","-12","0","-14","24","17","24","3","-24","39","8","15","-52","-8","-6","-102","24","14","0","-12","-56","3","2","-22","0","-26","-72","6","-12","56","-20","0","-66","12","0","0","-36","6","52","-48","-36","-45","0","14","28","-12","8","-60","36","4","0","66","-16","5","42","1","12","28","-16","54","-64","30","44","15","-10","14","0","-20","0","-8","12","-32","-84","8","32","-6","-18","24","-4","-29","72","90","0","-2","14","6","72","2","32","21","0","3","48","7","34","2","-32","-18","0","-30","-24","-6","-32","24","-36","0","24","-22","32","-8","-10","48","14","21","0","20","-72","-24","-2","16","40","8","40","2","12","-36","-36","8","-54","56","0","21","-40","12","16","28","36","54","-24","7","-8","-60","-18","32","-12","8","0"],"lmfdb":"agrees","curve":{"cremona":"753a1","lmfdb":"753.c","ainvs":[0,-1,1,-4,-3],"rank":0,"torsion":1},"derived":{"al":[[3,1],[251,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.d","letter":"d","dim":2,"charpoly":["1","6","1"],"traces":["2","0","2","0","-6","0","-2","0","2","4","-4","0","0","-8","-6","-8","6","0","8","0","-2","-8","-14","0","12","0","2","0","-12","4","-18","0","-4","4","-2","0","0","4","0","-8","6","-8","8","0","-6","-4","0","-8","4","-24","6","0","-12","0","4","16","8","12","-4","0","-4","0","-2","16","0","-8","-10","0","-14","20","-4","0","6","12","12","0","20","0","-6","24","2","20","22","0","-14","4","-12","16","-16","4","0","0","-18","8","-20","0","-16","16","-4","0","-6","4","-12","0","-2","-4","-8","0","16","16","0","8","-30","4","38","0","0","-20","-14","-8","2","12","6","0","-30","-8","8","0","8","0","2","0","-16","-32","-6","-8","-4","-4","-16","0","0","-4","0","-8","48","24","4","0","-12","-24","24","-8","6","24","54","0","8","0","-12","0","22","0","-4","0","4","4","12","16","-26","0","8","0","6","12","36","16","-4","8","-6","0","-8","0","-4","8","12","0","-20","0","-2","4","-24","16","0","20","0","0","-10","-8","-8","48","-10","-28","-12","0","2","24","-14","0","-24","20","36","0","-4","-32","-20","0","18","-16","6","0","0","12","-20","0","12","-4","6","0","28","-16","20","-24","-12","0","8","0","-6","-28","4","24","38","32","2","0","4","20","0","0","22","76","2","0","36","-28","-14","0","0","4","-24","0","-12","-28","16","16","32","-36","-16","0","16","4","58","-24","0","28","24","0","-4","36","-18","-40","-24","8","-28","0","-20","0","-46","0","-12","-60","-16","0","-8","16","-8","-24","-4","-24","0","0","-16","24","-6","-32","24","4","-32","0","-12","-36","-14","0","-44","-48","-2","0","24","-4","0","-48","-8","60","28","0","0","8","16","-40","-16","16","30","0","0","0","-2","8","54","0","-30","0","36","4","-22","-8","38","-12","-24","0","4","-24","0","0","-60","-20","8","0","-14","20","54","-8","-2","32","2","0","6","12","-64","56","6","-36","20","0","-14","-32","-30","-16","0","-8","-28","0","8","-12","56","0","-36","12","8","0","28","0","-46","-32","2","-52","18","0","-8","24","-16","-48","-12","-32","0","0","-6","36","-24","-8","12","-48","-4","0","44","-4","-62","0","-16","-40","12","0","40","0","0","8","12","-4","-20","0","0","4","24","-8","-4","72","48","0","-60","24","-32","-32","4","0","6","0","56","-28","-12","-16","-24","-24","-52","0","24","-12","0","-8","-8","40","6","0","-12","24","20","48","54","-24","12","0","74","-24","8","40","-24","0","24","0","-12","-4","0","0","0","8","22","0","68","0","-16","-24","-4","-40","38","0","-24","0","4","72","12","4","-44","0","12","0","-58","16","-10","64","-26","0","44","0","-54","0","8","-44","60","0","-16","-12","6","0","-12","12","-22","0","36","40","-54","16","56","-12","-4","0","0","8","-8","64","-6","-56","-40","0","-26","-8","-8","0","-64","0","10","0","-4","0","-36","8","6","32","12","0","32","0","0","8","-20","-36","16","0","86","12","-2","8","42","4","-2","0","-24","-44","-60","16","2","24","0","0","-30","20","32","-48","0","68","2","0","-72","52","-10","0","-10","-8","14","0","-8","0","-24","48","68","-36","-10","0","26","-28","-50","0","-12","-44","0","0","40","20","2","-48","-32","24","-62","0","-14","-52","0","0","106","8","-24","0","12","20","28","0","36","-8","-52","0","0","24","-4","32","24","-32","-32","0","-20","28","24","0","48","0","18","0","0","-16","-34","-24","6","-8","-16","0","52","0","0","-8","12","12","72","0","-20","76","-16","0","-44","0","12","0","-34","-4","-24","0","6","72","-6","0","40","24","28","-32","0","-16","-20","0","20","-48","84","-24","38","-72","-12","0","-36","0","12","-32","8","20","62","0","54","4","-6","-16","126","-28","0","0","4","-12","0","24","-36","32","38","0","-144","32","26","0","2","-60","28","0","56","0","4","0","84","20","-8","0","0","52","48","0","12","24","22","0","72","76","12","0","2","0","-48","0","-6","28","36","-8","24","-28","16","0","-14","-28","0","0","64","-32","0","0","6","4","-108","-40","-24","8","44","0","16","-40","-12","-16","-72","-28","0","0","16","-12","38","16","0","-12","32","0","-60","-36","8","0","-16","-36","-60","0","-6","0","16","56","0","4","-20","0","58","-24","20","-24","36","-60","0","0","-34","28","32","-48","24","36","32","0","-24","32","-4","0","28","36","-36","0","-18","-16","-38","-40","50","-16","-24","0","78","8","-66","48","-28","-48","-12","0","42","4","-20","64","16","0","10","0","-46","-24","-58","0","-30","72","-12","0","12","-60","0","32","-16","-44","-122","0","16","64","-8","-16","20","16","96","0","-8","68","-72","-24","48","-56","-4","0","8","-24","38","-64","0","-8","108","0","-40","-64","-16","8","56","24","38","0","-6","0","8","-32","-52","-28","24","0","54","4","-20","32","-32","60","0","0","-72","-56","-12","0","72","-36","32","0","-14","52","28","0","4","72","-44","0","44","-48","-62","16","-2","-40","38","0","0","-72","24","56","12","-4","60","0","0","-84","-52","-48","100","0","-8","0","12","60","2","-64","28","-92","8","0","-56","20","0","16","-36","8","16","0","16","4","8","-40","-22","12","-16","0","-60","16","28","0","30","20","48","0","-104","-48","0","-152"],"lmfdb":"agrees","derived":{"al":[[3,-1],[251,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.e","letter":"e","dim":4,"charpoly":["-7","18","2","-6","1"],"traces":["4","2","4","6","4","2","6","0","4","-2","8","6","-10","2","4","6","8","2","-2","12","6","4","-6","0","2","-4","4","-16","6","-2","6","12","8","-18","0","6","6","-14","-10","-16","4","2","-2","12","4","-26","28","6","6","-8","8","10","-6","2","8","-20","-2","-2","-10","12","-6","30","6","-14","-4","4","-30","4","-6","14","-2","0","20","32","2","-4","12","-4","-2","-24","4","22","2","-16","-2","-14","6","0","-36","-2","-40","-42","6","-4","2","12","18","8","8","-10","20","-18","16","20","0","2","16","6","4","-4","6","-4","-4","-14","-22","-4","-10","8","20","-16","-28","-16","4","36","12","2","-6","12","-2","-12","34","12","-2","-14","4","-20","-6","-26","-34","20","28","-56","-20","6","-26","-34","6","-20","-12","-8","-20","-18","8","4","4","10","4","-18","-6","4","24","2","12","-36","8","26","20","-20","-2","-50","-2","-4","36","-2","16","12","-10","-16","22","12","-50","-24","-6","-40","-26","30","16","28","6","-20","34","-14","-46","24","-4","-78","32","4","20","-52","-30","14","22","4","2","-8","-6","-2","-4","14","4","4","-2","-16","2","0","-18","-24","20","24","-28","32","22","0","2","54","-22","-4","-44","-26","12","14","36","-4","0","-8","-2","2","30","-24","0","-14","4","-16","-48","22","4","56","2","34","-4","-16","-12","-4","-2","-26","-70","-14","38","-32","6","46","44","0","26","4","-36","-20","12","-2","34","24","-40","2","4","-42","-8","4","6","-12","26","-4","2","24","2","-8","48","12","2","-32","18","14","-6","8","-58","32","8","4","-18","-10","-2","2","20","-12","42","-18","22","-32","16","22","-14","20","32","4","0","-4","-32","2","12","0","16","14","18","6","-18","8","4","-20","56","-4","-18","86","6","100","-24","-4","-12","2","-4","68","12","-14","54","-18","-22","-22","-12","-4","48","44","-10","24","-38","8","38","-4","20","78","-24","-16","-62","-44","-28","52","0","-16","28","-10","4","52","-22","36","-52","-36","12","-4","-28","2","-62","20","-6","-16","30","12","0","-36","-2","72","8","-12","50","-28","34","66","64","12","-18","-20","-2","-70","2","-14","12","24","4","-16","12","-20","18","78","-6","60","-22","-26","30","-12","-34","-28","8","20","-44","-8","28","-14","-8","-56","-2","60","-20","-20","-42","6","-44","-26","-26","16","26","-34","-100","-32","6","16","12","-20","-24","58","-12","-12","72","-8","8","-8","-20","98","20","-18","18","12","8","28","50","4","28","60","4","96","10","10","-70","-64","4","68","-4","-18","8","-52","-6","40","10","4","-44","22","24","-42","70","2","38","-68","12","40","-14","-36","54","10","8","40","-30","26","12","-36","20","-2","-30","-20","2","-52","-2","72","32","-50","46","-52","-2","-38","0","-4","56","0","36","28","-72","-2","-30","22","16","0","-40","12","12","32","-10","16","-52","-16","124","20","22","102","12","12","12","42","-50","48","-76","-24","22","4","-6","-16","2","-40","-2","20","-26","-56","-40","30","4","-72","16","-10","30","28","-38","-62","6","-68","-28","-20","10","20","34","42","-2","-14","-24","-96","-46","28","-80","24","-12","-40","-4","-18","70","-78","-30","-24","32","44","-4","4","-74","20","20","12","2","-52","16","4","-30","52","-28","14","-2","2","22","32","-84","4","-64","52","2","-40","-4","-8","-54","-36","-6","54","-104","-2","-36","-40","-4","68","-14","14","38","-84","4","36","30","4","-102","-4","-2","108","50","-16","68","-8","2","-20","-22","0","-20","-36","-18","56","44","-24","2","-32","20","0","-8","24","-22","54","-28","80","-14","32","46","-100","22","-2","-12","0","-70","38","2","-140","68","54","-18","-12","-22","60","16","-4","26","22","-44","-12","28","-26","-40","32","12","32","-118","14","-30","-24","36","52","12","-4","-32","-28","0","-14","36","-8","-80","-96","-2","40","-88","2","-8","82","30","14","-86","-24","-12","-30","0","-126","-48","-14","10","48","4","-102","18","-16","-50","158","-48","-12","-60","22","-68","-40","4","16","74","56","-36","-54","2","8","-12","34","16","84","-4","18","12","-16","-14","-48","-12","0","-122","-4","-4","-20","-2","-92","32","-26","-40","28","-70","-76","-52","-14","-28","8","38","-12","-22","-32","-4","30","6","30","-72","46","18","108","44","34","-4","0","8","52","26","-72","100","4","120","-28","-36","-12","40","-20","-94","-4","12","16","-80","-2","48","-88","34","64","112","24","14","24","-40","-28","-12","2","14","36","4","-60","-50","-42","14","-6","-8","26","56","4","-12","-8","6","-8","32","-12","-38","100","26","-20","-68","-4","-42","-60","2","-44","-6","24","-122","52","2","-96","46","-8","58","20","48","68","-58","12","-2","-228","2","-28","-4","-32","100","64","18","54","72","14","-38","-22","-6","-48","-104","8","-16","48","-58","-74","92","32","-90","-16","8","36","4","4","58","16","-18","-16","-14","-10","-54","44","-2","88","4","2","42","-18","20","-40","36","-12","4","140","42","-88","80","-18","28","56","22","-60","32","-32","-32","80","16","42","-110","22","-8","60","-14","-44","-4","20","20","-34","32","120","120","4","-2","88","0","-28","-38","-4","-66","6","-32","4","-24","2","42","116","12","16","-22","0","-34","-32","16","-86","2","14","58","0","18","28","-6","6","-46","-14","-18","-112","-32","8","-72","8","4","2","16","-20","46","8","56","-12","26","-4","-10","20","-18","12","4","86","-20","110","6","12"],"lmfdb":"agrees","derived":{"al":[[3,-1],[251,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.f","letter":"f","dim":6,"charpoly":["-67","-138","-74","21","32","10","1"],"traces":["6","-6","6","8","-4","-6","-7","-15","6","-6","-9","8","-5","11","-4","16","-30","-6","-7","-3","-7","8","-9","-15","-2","-3","6","-18","-23","-6","9","-26","-9","27","-4","8","6","-5","-5","30","-10","11","-5","14","-4","42","-21","16","5","21","-30","-6","-16","-6","-20","7","-7","27","3","-3","-5","6","-7","37","6","8","8","-37","-9","17","-11","-15","-8","5","-2","11","0","-3","-5","-27","6","-28","-22","-18","26","-3","-23","-26","6","-6","-28","-34","9","11","-15","-26","33","-43","-9","-22","-28","27","-11","13","-4","22","11","8","-1","39","6","32","-4","-5","-23","-61","-5","-16","50","30","3","30","-10","0","36","11","-48","-30","-5","31","2","14","-22","34","-4","73","13","42","-1","18","-21","-2","4","16","9","76","5","-15","-26","21","23","4","-30","-13","-9","-6","45","11","-16","37","-21","-6","29","69","-20","28","-79","7","63","27","-7","31","-35","27","-32","18","3","-43","15","-3","39","128","-5","41","28","6","37","-38","-7","74","46","37","-1","-54","6","73","15","8","6","49","8","22","65","-37","21","6","-9","-19","77","17","-13","-10","-11","48","26","-15","-41","30","-8","-52","-15","5","-16","-35","-2","17","-12","11","20","-43","0","97","-22","-3","44","61","-5","-96","11","-27","30","-10","6","-126","25","-28","28","21","-22","-54","6","-18","46","80","26","42","-37","-3","14","-2","-23","14","-24","-26","-23","63","6","-22","-43","-6","-63","-60","-28","-114","-21","-34","-16","31","9","-64","-12","11","-1","20","-15","-70","39","-26","64","50","33","-104","26","-43","49","6","-9","-49","10","-22","17","-47","-28","12","37","27","25","-23","-11","-51","0","13","14","-150","-4","-63","-19","22","26","-24","11","-14","20","8","3","35","-1","-100","16","39","13","15","6","51","-93","32","-42","-103","-4","20","12","-5","-62","-17","-23","44","2","-61","-43","13","-5","-36","111","-16","-36","-21","50","37","-79","30","61","-38","3","-206","-56","30","-78","-155","-10","-91","33","0","1","-15","36","86","-37","11","-47","-75","-48","-38","-54","-30","118","-10","-5","36","-71","31","21","-53","2","-80","66","14","32","2","-22","-155","58","34","-72","-23","-4","-104","-98","73","51","51","13","-65","5","42","-38","165","-1","-111","-20","18","-23","24","-21","-40","0","-2","29","-98","4","-46","31","16","-15","6","9","-5","13","76","-32","-14","5","104","18","-15","38","5","-26","48","35","21","26","-23","23","40","1","4","1","9","-30","5","16","-13","-79","-42","-9","32","75","-6","45","11","45","-74","8","11","-73","171","-16","-124","-33","37","9","-18","-21","-62","-24","-6","-42","214","29","24","28","69","136","-148","-20","-95","106","28","95","59","-79","-6","-14","7","21","-13","63","-130","-52","27","9","-18","-7","53","9","31","-15","-34","-35","-5","3","27","-44","-40","-32","15","-41","18","17","48","3","-143","-28","-43","2","-59","15","-37","28","-3","72","115","39","72","31","128","-59","144","-5","88","70","41","22","14","28","41","49","6","-150","50","37","108","-81","-38","-58","20","-7","-115","-5","74","62","99","46","-72","94","37","-13","-52","-1","24","-5","-54","34","114","6","-72","-79","73","39","-110","15","-37","-15","8","-2","92","6","-185","-63","49","48","-132","8","38","118","22","-60","-25","65","-43","69","-37","79","-49","21","137","-24","6","-9","-15","-9","-33","-60","-19","-10","3","77","138","-23","17","-63","133","-13","70","44","-10","161","-43","-11","-63","-13","48","-75","-45","26","97","-72","-15","-59","-93","-41","5","-33","30","-46","181","-8","20","76","-52","79","-31","-15","-47","149","5","-18","-131","-16","32","-97","-35","82","-16","-2","217","17","17","65","-163","-12","55","-19","11","65","187","20","-1","136","-43","62","-86","0","-170","-60","97","79","-37","-22","-7","9","-3","-217","-5","44","-61","18","61","47","115","-5","109","65","-96","17","-28","11","122","-103","-27","140","-135","30","153","-69","-10","-92","254","6","-48","74","-126","73","-3","25","169","59","-28","34","97","28","1","-30","21","125","-95","-22","-111","-55","-54","121","-78","6","129","49","-18","-14","41","46","-35","15","80","-111","79","26","116","-102","42","-68","-161","-37","-51","75","-3","50","-114","14","33","-36","-2","30","-165","-23","6","95","14","-117","-21","-24","-88","-47","-26","-8","171","-23","-29","85","63","100","169","6","-110","42","-22","89","-91","-43","71","-30","-6","-90","155","-63","132","-115","-60","-51","-142","-28","-44","-40","-114","11","54","-21","-107","74","-34","13","59","-16","-286","-76","31","140","92","9","107","-27","-64","29","70","-12","-198","-140","11","-68","50","-1","-93","-9","20","-107","-10","-15","169","3","-70","40","-6","39","-66","54","-26","3","-86","64","-31","-110","50","-50","58","33","-81","-41","-104","-9","1","26","134","10","-43","4","-104","49","-9","-30","6","105","87","-9","-33","-15","-49","-48","-145","10","19","-22","-22","43","-11","17","-5","-124","-47","-80","-87","-28","-168","-143","12","125","25","37","16","64","27","50","5","25","48","44","-23","107","107","-11","39","-30","-51","82","-205","0","-93","99","13","51","-117","14","47","-32","-150","-82","27","-4","116","-8","-63","-23","95","-19","-153","26","22","-43","265","26","15","-29","-24","-47","126","11","66","-51","-14","-72","174","20","63","35","8","72","-33","3","-206","14","35","-27","-76","-1","54","-36","-100","175","-154","16","396","2","39","-145","-7","13","-123","36","15","17","-75","6","-117"],"lmfdb":"agrees","derived":{"al":[[3,-1],[251,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.g","letter":"g","dim":6,"charpoly":["11","-94","56","27","-16","-2","1"],"traces":["6","2","6","4","0","2","5","9","6","0","3","4","11","7","0","-8","6","2","-11","1","5","-16","23","9","-10","1","6","14","17","0","-7","-10","3","15","20","4","-18","11","11","2","10","7","11","-12","0","14","-11","-8","-3","-9","6","-14","10","2","-2","13","-11","-9","23","1","-7","-30","5","-3","-2","-16","8","-5","23","-19","27","9","-32","-35","-10","3","16","1","-1","1","6","-16","-2","14","-22","-11","17","-14","50","0","8","26","-7","3","-21","-10","-21","-27","3","-18","24","15","-3","-3","20","-18","11","4","-25","-45","-18","-16","4","11","-19","1","11","8","-30","2","19","22","10","-56","0","7","12","-32","11","-23","-2","-12","-24","28","0","-31","-3","14","17","-18","-11","50","32","-8","21","24","-3","-13","-2","-9","21","-40","6","-41","-21","-14","-5","-3","10","19","-5","2","-23","33","-2","-58","25","13","-17","17","-11","-19","-19","-9","-4","-58","23","1","-41","1","15","-10","-7","39","0","-30","-9","2","5","-2","-18","-3","3","-2","-2","-35","-37","-16","18","-3","8","2","29","-5","-55","-40","23","-19","1","-19","-45","30","27","16","42","9","-81","-50","-32","-66","29","-35","-16","-13","-10","-67","0","3","30","21","16","49","-30","1","-18","3","-1","46","15","1","-14","64","6","60","21","-16","-20","-33","-2","-20","-6","14","-16","-28","-22","-38","71","-11","-44","-22","17","-46","32","-14","-37","27","50","70","29","0","5","0","8","42","3","26","-20","23","-7","62","-26","3","39","24","-21","58","-45","-10","-8","2","-21","56","22","-27","61","-54","3","39","22","-18","5","9","24","4","1","15","27","-59","-3","57","64","-3","-2","34","20","-27","-15","-18","2","36","11","68","42","4","3","-65","-25","76","-14","-45","53","-5","-18","-17","23","-16","-18","-1","4","0","-34","11","-14","47","-19","12","44","1","-21","-33","11","8","27","8","-18","43","-30","37","29","2","-39","-38","19","2","-12","22","114","-19","10","57","13","-56","-47","69","0","22","31","7","35","-23","12","98","38","-32","-4","-22","11","-38","5","-23","49","43","-2","30","-102","-12","48","10","-24","21","-56","28","8","-3","0","-20","18","-31","-69","23","-3","19","21","14","22","-39","17","97","48","-18","-69","-36","-11","72","-32","50","-3","-18","32","66","23","-8","101","-12","21","-43","-17","24","122","-6","-3","68","-38","-13","58","29","-2","0","-81","-9","-14","-103","21","76","57","-40","-15","17","6","25","-24","-41","15","-12","-21","-36","-9","-14","49","-17","-5","30","-88","-3","-5","35","10","64","3","19","-89","82","-5","134","16","2","78","-42","-23","-38","96","33","-36","68","-2","37","-16","-58","-43","-9","25","-2","110","13","-59","-69","-17","-20","-8","17","-47","-14","-11","69","-115","-19","-31","-22","-19","-19","-47","-9","8","-84","-4","-107","63","-58","-15","-60","23","-5","-52","1","-2","35","-41","43","8","1","-80","-77","15","8","19","-10","9","12","-7","56","-86","39","-102","14","0","87","13","-30","12","2","-9","84","5","2","-6","-24","5","65","7","-2","-10","77","-18","72","-54","-3","7","-18","3","24","-1","-2","74","36","-2","-92","-15","-35","5","106","-37","-31","-63","-16","-42","-44","18","13","-27","-3","26","-24","8","4","50","2","100","19","29","61","-19","-5","9","-141","-55","13","-92","-40","-37","57","23","57","116","-19","-50","-9","1","-22","9","-19","-29","-31","-45","4","-82","30","37","-113","27","-45","-49","16","-73","95","42","-23","96","9","-103","-27","-81","-111","-51","-50","38","-19","-32","8","30","-66","-33","113","29","13","-121","-35","40","3","-16","26","-17","-13","-60","-20","-10","-51","-23","-67","49","-95","0","47","-91","3","-23","-135","30","59","-8","21","-74","-6","16","22","-14","49","-17","-69","-30","-27","13","1","59","75","-18","79","22","3","-49","47","-1","45","-3","46","61","16","15","28","-35","1","-116","-75","-14","-3","-5","64","56","0","6","94","-30","60","-39","69","21","-43","-31","-16","-74","-1","-20","9","-46","-33","17","-51","-2","61","-45","-20","9","44","-6","-67","37","14","-50","-31","-16","-63","91","-28","17","113","-22","-4","8","-38","8","-109","71","3","-5","-11","10","-46","-44","-123","2","-22","-134","13","17","30","-3","-46","31","63","32","-28","-79","-14","-116","-105","-37","-25","5","27","-38","-33","50","-62","-186","70","41","-13","29","107","66","0","-14","19","5","-38","-17","0","-119","18","8","40","44","42","83","48","3","13","-46","26","-123","39","-20","58","-100","23","0","92","-7","15","-35","62","-71","102","-26","-110","16","3","96","-64","39","-17","-41","24","-47","78","-21","-35","91","58","-32","110","-45","4","-34","-10","11","58","-8","-19","36","2","-70","-26","-21","-1","-81","56","-13","137","22","-4","-20","-27","-4","-4","61","3","88","-54","-81","-23","3","-9","9","39","40","-105","22","73","-12","-18","-73","-71","5","-87","-44","9","-4","77","24","-104","71","4","55","25","1","28","-4","15","-60","-31","27","-32","58","-59","-53","83","-3","-29","54","57","-96","47","64","-21","-41","-3","25","57","-2","17","-40","34","118","37","20","-218","40","-27","-187","23","-15","-119","-8","-18","-15","21","2","51","-27","36","57","50","11","70","-11","68","24","154","42","-125","-53","4","104","11","3","-40","64","-65","119","16","-25","16","-34","76","-49","38","-14","74","20","-45","-39","73","53","117","162","-5","39","-63","-18","3"],"lmfdb":"agrees","derived":{"al":[[3,-1],[251,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.h","letter":"h","dim":9,"charpoly":["-1","-1","31","-64","-7","75","-2","-23","-1","1"],"traces":["9","0","-9","6","1","0","-14","-3","9","-12","-1","-6","-15","-3","-1","-4","-9","0","-7","-9","14","-16","-16","3","2","-5","-9","-28","17","12","-22","-6","1","-7","-9","6","-16","-5","15","-32","7","3","-29","18","1","-22","-25","4","-5","21","9","-30","-2","0","-38","9","7","-9","-1","9","-21","4","-14","-23","6","16","-25","-3","16","15","9","-3","-27","-7","-2","-13","18","5","-12","13","9","-6","-31","28","-17","47","-17","-2","8","-12","18","-16","22","7","-11","6","-7","29","-1","30","27","7","-35","19","9","18","-21","-6","-25","-23","16","20","27","5","-4","37","-15","52","-17","32","18","10","-7","-14","27","-3","-30","16","29","53","-5","-18","6","74","-1","33","-5","22","-29","48","25","38","-40","-4","27","-4","5","41","70","-21","-37","50","-9","63","22","30","-35","9","2","29","56","0","3","19","38","36","-23","-9","20","73","-7","1","-8","9","-48","50","1","49","12","-9","9","2","21","17","0","-4","-29","50","14","26","-16","23","3","-2","-6","25","18","-16","-40","-27","25","34","-17","3","-48","32","-16","-15","21","-15","-25","32","-9","20","-84","3","-10","-96","27","32","69","7","-52","1","2","17","-53","13","6","31","-18","-31","10","-5","-28","-57","12","38","-5","-13","-53","-50","-9","-20","1","6","-56","-33","31","18","-9","-28","-4","-98","17","-30","-17","-47","-18","48","17","-8","-34","2","-15","-5","-8","76","77","12","-14","-78","-18","-82","-13","16","-56","-7","-22","96","60","-7","-15","-32","11","18","-44","-6","12","-76","7","-106","22","-29","-7","28","1","-1","52","-30","47","-11","-27","18","27","-7","11","-79","35","101","-17","-19","-8","-36","-9","7","49","-18","-26","74","21","30","18","6","-141","-1","25","64","60","23","44","-169","-16","-37","-70","-20","-11","103","-27","-94","-2","-5","29","11","4","38","-6","-37","-11","-65","15","12","-33","-52","10","39","17","35","6","-32","-32","-88","-18","78","89","-10","10","-31","7","-27","37","14","-8","9","-27","6","-119","3","69","-95","30","-18","-74","-16","78","-48","-29","38","11","-53","-6","-25","5","0","-73","18","-50","8","-6","45","52","-74","62","25","1","20","-80","-33","-53","-27","5","-29","-31","-22","31","-37","29","71","-42","-48","23","10","-25","-76","-56","-38","37","-70","40","30","-47","4","17","-22","-27","-15","-5","4","-82","-36","-5","-8","75","-41","-36","39","-70","88","-17","21","88","-15","37","-120","37","-50","-21","85","9","139","-18","-63","-1","-14","-22","32","-21","-30","-46","-221","35","-14","54","-9","105","37","-2","72","11","-29","81","-86","-56","-48","46","0","-64","-80","-3","68","97","-19","-62","-114","-38","1","-8","-36","67","-73","23","0","-53","9","-38","45","-20","-4","36","-73","68","-16","7","-95","71","-1","49","-26","8","199","-21","-9","19","-122","48","99","36","-50","-5","-92","-1","35","52","-49","-24","73","-12","55","-28","9","-43","-71","-9","82","21","-2","-30","-10","-21","0","26","-17","85","14","0","-15","21","4","10","-46","29","28","-11","-50","65","-32","-14","93","-16","-26","75","-95","16","-52","-142","-23","90","-226","-3","14","132","2","10","-102","6","112","-30","-25","-9","174","-18","-85","-28","16","105","24","40","157","79","27","20","-2","-25","-52","43","-34","-83","49","17","49","-3","-3","75","-21","48","-15","56","-32","92","39","16","-67","-44","15","79","-13","-21","-22","97","15","69","-11","25","-136","132","-32","13","29","9","77","55","-20","41","21","84","-91","-54","-3","1","-187","10","-123","53","96","7","59","-27","48","0","-32","81","-41","-69","45","15","-7","-2","-27","52","-144","11","-1","36","52","-2","47","130","-17","-25","157","53","-109","0","-13","-49","-75","-6","-51","70","-31","-10","-82","18","54","94","31","4","189","-10","1","153","5","-21","-161","28","59","-11","57","66","5","-12","37","10","-38","155","180","5","-24","-65","13","8","113","53","61","117","50","-47","-38","9","228","104","20","43","-81","-1","-21","17","-6","-102","19","56","1","46","33","95","45","-31","51","51","-18","61","132","9","-55","-85","28","133","45","4","-39","97","98","145","49","-17","44","-40","30","26","81","17","139","-28","47","18","-116","18","81","22","-48","-134","59","-17","-66","31","8","53","149","34","26","-54","-2","24","-55","15","-43","107","5","-40","59","8","-122","-44","-76","26","113","-77","93","10","-12","90","-55","14","60","39","78","-7","0","18","-38","-5","82","-91","-38","13","-91","-182","-16","65","219","56","50","58","7","-40","16","22","-53","-2","-96","-70","-90","-60","-174","-43","7","-15","-10","15","41","115","32","-28","46","-11","33","-103","-18","75","-156","44","-62","-5","6","-116","268","-12","59","58","76","-16","-64","-7","-109","-68","106","-75","-63","-22","50","-56","29","-110","34","7","-221","-36","-28","59","-105","-1","-167","-33","1","-3","31","-52","209","-110","30","-79","-71","-47","-87","106","11","31","61","27","-90","19","-18","-129","-55","-27","-74","67","7","-84","181","-11","-164","-116","79","-59","-37","-35","43","-90","-101","-8","99","17","-1","-11","19","-155","-297","8","1","30","36","-23","-33","9","34","-77","-7","-25","245","-49","-79","6","18","13","-135","26","-133","49","-74","-89","90","-21","-80","43","-30","91","60","-18","-13","-143","-6","76","-245","141","34","-10","1","-99","-78","-25","-40","-6","-64","-86","70","-60","-6","-60","-23","-87","39","-44","-179","-62","169","-123","-49","16","-157"],"lmfdb":"agrees","derived":{"al":[[3,1],[251,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"753.2.a.i","letter":"i","dim":11,"charpoly":["1385","10949","18704","-9709","-14852","897","3209","196","-261","-30","7","1"],"traces":["11","-3","-11","13","-4","3","19","-6","11","0","-5","-13","15","-7","4","21","4","-3","17","-9","-19","-4","15","6","19","-3","-11","38","-25","0","19","-5","5","3","14","13","16","29","-15","22","-6","7","19","4","-4","-14","23","-21","28","-6","-4","58","-8","3","32","-9","-17","39","5","9","33","44","19","18","0","4","14","17","-15","-17","1","-6","14","-5","-19","-5","2","3","49","-9","11","-8","10","-38","-20","-23","25","-34","-28","0","36","28","-19","-37","19","5","33","-30","-5","-47","-36","-3","29","-75","-14","-22","-3","-13","-33","-75","-16","68","10","-29","-1","-67","15","-36","16","-22","-12","0","6","-40","-18","-7","54","-69","-19","-33","4","-4","4","-48","4","-1","-13","14","31","-22","-23","-18","48","21","35","14","-28","-39","-74","6","7","56","4","-85","-23","-58","9","-53","8","-59","-5","-3","11","-9","-32","-82","65","9","12","-101","17","3","-3","-39","44","-18","-5","-29","-31","-9","3","-16","-33","-161","-18","-44","25","-62","-19","-50","-8","-18","17","-80","0","26","13","-4","84","-8","-14","12","-29","-17","-105","-26","15","41","57","17","43","2","-1","32","24","6","61","-74","-14","66","-41","5","32","-77","19","-13","48","5","10","39","-2","89","-22","-3","12","-43","-49","-72","39","9","4","-51","-11","-68","53","8","8","117","-10","-20","11","38","-26","22","20","23","5","23","50","20","-25","28","62","34","9","-17","28","-66","5","0","23","192","-36","30","-29","-28","-12","49","19","-54","-14","37","17","-28","-19","-38","35","-5","29","44","-33","76","-36","30","35","-66","5","37","100","47","-21","15","36","-46","25","3","11","125","-29","-79","20","75","26","150","14","81","-55","22","22","24","3","24","24","13","-45","55","33","-26","44","75","-9","99","16","-73","71","-68","-24","-64","-10","24","-108","29","56","165","1","-36","46","67","-29","65","-15","-108","-15","36","-74","-67","-16","19","-11","22","-28","142","12","158","-116","0","10","167","-6","-51","-13","40","-1","-147","18","-62","-31","7","-47","133","-54","46","0","69","-20","-10","19","82","-69","33","-33","-152","-4","-20","42","4","6","136","-4","-88","-88","48","64","-15","-4","-4","68","1","25","117","13","67","-37","-14","-24","-47","-31","-65","28","22","-33","82","23","-16","-34","18","-21","-10","-48","14","-53","-21","-33","140","-35","-99","-79","-14","72","20","28","-52","124","39","-34","25","74","156","-37","-6","-92","125","-7","4","-25","-56","35","11","-4","-79","-76","85","45","-194","23","-46","-7","58","-101","87","-9","-38","-42","53","1","271","-8","-152","121","59","23","132","5","-61","-134","3","28","82","-11","-8","-74","9","-90","92","32","-31","-12","82","49","-35","-65","-3","170","-9","-121","53","-12","-170","-32","101","-5","-75","-17","-39","-5","-3","17","-106","3","17","-59","39","74","234","-44","17","-3","18","38","-8","5","141","-26","29","-54","11","31","7","56","9","-130","121","-3","-88","-49","16","-33","-128","33","132","60","161","64","92","18","-33","31","44","-68","150","-25","-40","33","62","0","-46","19","29","-187","50","84","51","8","72","8","18","-43","111","-17","118","-23","80","26","74","0","-12","-31","-26","-15","-174","-13","-81","-33","4","-24","-198","-84","-105","7","8","-34","74","14","-30","-94","-12","62","-29","29","5","-51","17","37","39","105","-203","40","26","-87","69","-15","-37","82","-41","-37","-51","-57","-104","-17","-17","-41","-11","-43","-48","-18","-2","93","-9","1","-175","-97","-32","-41","-13","-24","-131","88","-6","77","193","-61","-15","-53","74","-108","-115","14","-148","-86","-66","-7","-125","41","-227","-15","-5","-132","-37","-32","46","-101","77","114","34","-19","-22","23","13","-73","-167","-48","-53","83","-5","65","-241","-10","-183","-74","-39","-62","138","2","-86","118","-89","-111","-105","22","-271","-169","3","111","263","-12","-101","-202","43","-35","-59","49","-81","-3","72","-197","-60","-39","62","77","-9","-12","110","-4","33","-141","51","38","-288","11","-78","-64","68","-51","-11","-53","-105","-53","-8","-78","153","-8","-171","-40","-117","9","-229","10","139","-137","20","-91","-82","-11","107","-111","-38","90","197","26","37","-71","-22","-145","143","-20","88","26","-23","118","-67","-5","11","-55","-23","-34","-190","-50","-9","-144","-20","-90","-59","25","243","1","-28","-57","-99","-62","46","9","-34","-72","107","-9","81","-35","17","-40","20","-28","308","-12","66","219","-13","-5","51","-24","0","-66","-99","-23","-6","13","-192","75","138","36","-156","-88","-30","183","4","29","5","-76","28","3","111","12","182","98","-49","-56","48","-19","-201","199","54","-18","-168","14","298","-6","-37","-50","58","-17","3","-43","28","101","186","19","9","21","38","106","-80","-35","132","-22","5","37","54","-29","-79","-32","-44","-6","-134","33","173","-55","-76","135","-141","36","176","74","-30","-14","182","-35","239","50","66","61","85","-5","-23","27","-37","18","-289","-100","-39","52","-47","79","221","21","165","24","-15","-62","-39","-36","-74","-197","46","73","67","-25","88","48","-3","42","97","-11","110","78","-125","171","-157","29","147","76","79","-34","-3","-20","227","121","-75","-63","-11","-26","-181","84","-150","-16","-95","-14","84","-110","-81","139","7","55","-109","54","-22","-3","101","-22","-233","9","-24","232","90","-3","-66","-81","-24","-66","-135","-24","291","-109","-13","154","93","45","-70","0","-55","39","-76","-33","294","154","26","17","-106","-44","88","-146","-75","-29","347","9","109","-228","-99","137","-95","-16","235"],"lmfdb":"agrees","derived":{"al":[[3,1],[251,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.244,"computed":"atlas","estimate":{"seconds":0.489,"low":0.298,"high":0.846,"bytes":2269374},"url":"https://sagebrush.space/atlas/mf/753.2.a"}