{"label":"618.2.a","level":618,"weight":2,"dims":{"new":17,"cusp":101,"eisenstein":7,"modsym":209},"old":[[103,8,4],[206,9,2],[309,17,2]],"T":[[5,1],[7,3],[17,5],[19,7],[23,9]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 6, 103, 206, 309, 618]: [0, 1, 1, 3, 9, 28, 36, 108] (certified at ell = 2147482501)","T = [(5, 1), (7, 3), (17, 5), (19, 7), (23, 9)]; h of degree 17 = 1 x 17 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"618.2.a.a","letter":"a","dim":1,"charpoly":["36","1"],"traces":["1","-1","-1","1","-1","1","-2","-1","1","1","6","-1","-1","2","1","1","0","-1","-8","-1","2","-6","3","1","-4","1","-1","-2","-6","-1","-5","-1","-6","0","2","1","6","8","1","1","4","-2","-9","6","-1","-3","-10","-1","-3","4","0","-1","-6","1","-6","2","8","6","-5","1","15","5","-2","1","1","6","-15","0","-3","-2","0","-1","-16","-6","4","-8","-12","-1","6","-1","1","-4","-9","2","0","9","6","-6","2","1","2","3","5","10","8","1","1","3","6","-4","7","0","-1","1","-2","6","3","-1","10","6","-6","-2","11","-8","-3","-6","-1","5","0","-1","25","-15","-4","-5","9","2","7","-1","9","-1","-7","-6","16","15","1","0","-10","3","-4","2","10","0","-6","1","6","16","3","6","18","-4","8","8","0","12","5","1","-20","-6","6","1","-6","-1","-22","4","6","9","20","-2","-12","0","-8","-9","-10","-6","8","6","5","-2","4","-1","-8","-2","-15","-3","-6","-5","0","-10","2","-8","-24","-1","24","-1","-1","-3","27","-6","17","4","15","-7","12","0","-4","1","3","-1","-48","2","-4","-6","0","-3","9","1","10","-10","16","-6","0","6","-4","2","-4","-11","-16","8","-1","3","12","6","6","1","10","-5","-6","0","12","1","-18","-25","-1","15","3","4","8","5","9","-9","-6","-2","18","-7","0","1","5","-9","-12","1","-6","7","-2","6","6","-16","-2","-15","0","-1","1","0","-2","10","-24","-3","-12","4","-5","-2","-7","-10","-1","0","-8","6","-8","-1","-17","-6","-1","-16","-7","-3","5","-6","-6","-18","-3","4","18","-8","-7","-8","-15","0","27","-12","1","-5","21","-1","-6","20","2","6","-6","-6","-36","-1","-3","6","0","1","4","22","-10","-4","20","-6","-13","-9","6","-20","15","2","33","12","-11","0","-30","8","20","9","3","10","-11","6","-12","-8","1","-6","7","-5","0","2","0","-4","-25","1","45","8","-25","2","16","15","-16","3","4","6","12","5","10","0","-9","10","6","-2","-5","8","-7","24","-26","1","12","-24","-9","1","-30","1","0","3","7","-27","-6","6","-8","-17","-16","-4","32","-15","5","7","-1","-12","36","0","6","4","10","-1","10","-3","9","1","4","48","-36","-2","-23","4","-10","6","0","0","-30","3","6","-9","-23","-1","28","-10","-6","10","-24","-16","24","6","-3","0","28","-6","-2","4","-18","-2","15","4","24","11","-8","16","-2","-8","-6","1","0","-3","0","-12","-15","-6","-5","-6","-4","-1","30","-10","20","5","-54","6","32","0","-6","-12","-10","-1","-6","18","6","25","-1","1","32","-15","22","-3","27","-4","0","-8","-6","-5","0","-9","-25","9","-20","6","39","2","-7","-18","12","7","22","0","32","-1","8","-5","1","9","-60","12","10","-1","35","6","0","-7","-8","2","0","-6","-14","-6","-5","16","-4","2","-3","15","-4","0","-18","1","-23","-1","8","0","-10","2","-28","-10","15","24","48","3","-12","12","6","-4","-25","5","9","2","0","7","16","10","-11","1","-2","0","-3","8","-8","-6","24","8","-12","1","24","17","-24","6","18","1","-36","16","1","7","9","3","40","-5","-27","6","18","6","0","18","-17","3","30","-4","-2","-18","-15","8","-25","7","28","8","-12","15","10","0","-13","-27","4","12","27","-1","-10","5","-3","-21","-4","1","11","6","48","-20","0","-2","2","-6","4","6","-7","6","3","36","0","1","-4","3","24","-6","-9","0","13","-1","-30","-4","-10","-22","-21","10","7","4","-16","-20","13","6","-26","13","0","9","-16","-6","-18","20","4","-15","90","-2","29","-33","4","-12","-14","11","-2","0","16","30","40","-8","10","-20","1","-9","6","-3","0","-10","-12","11","4","-6","0","12","-6","8","18","-1","-48","6","-10","-7","-14","5","2","0","6","-2","-15","0","6","4","-12","25","2","-1","2","-45","18","-8","24","25","-5","-2","1","-16","0","-15","14","16","-3","-3","-90","-4","-4","-6","-8","-12","-36","-5","-18","-10","-9","0","-6","9","-10","-10","6","-6","-8","2","13","5","-18","-8","9","7","-20","-24","0","26","5","-1","-50","-12","-5","24","-38","9","20","-1","12","30","-32","-1","0","0","6","-3","20","-7","-22","27","2","6","-22","-6","-15","8","-6","17","18","16","0","4","2","-32","-96","15","6","-5","0","-7","-39","1","-47","12","-1","-36","22","0","72","-6","2","-4","0","-10","-19","1","24","-10","-18","3","-46","-9","12","-1","0","-4","-20","-48","5","36","0","2","7","23","7","-4","12","10","-50","-6","1","0","18","0","1","30","8","-3","-42","-6","15","9","8","23","20","1","10","-28","17","10","36","6","15","-10","1","24","-18","16","38","-24","7","-6","47","3","34","0","-5","-28","-3","6","-14","2","6","-4","80","18","-4","2","3","-15","30","-4","0","-24","-18","-11","8","8","-32","-16","7","2","48","8","-54","6","15","-1","14","0","12","3","-27","0","0","12","-24","15","-1","6","-58","5","24","6","-21","4","0","1","-14","-30","6","10","28","-20","12","-5","-2","54","38","-6","16","-32","6","0","-18","6","24","12","36","10","20","1","-6","6","3","-18","-24","-6","-51","-25","0","1","6","-1","8","-32","-4","15","12","-22","12","3","10","-27","-59","4","-27","0","-20","8","-27","6","-2","5","13","0","-17","9","32","25","-6","-9"],"lmfdb":"agrees","curve":{"cremona":"618a1","lmfdb":"618.a","ainvs":[1,1,0,2,4],"rank":1,"torsion":1},"derived":{"al":[[2,1],[3,1],[103,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.b","letter":"b","dim":1,"charpoly":["24","1"],"traces":["1","-1","-1","1","2","1","-2","-1","1","-2","-3","-1","-4","2","-2","1","0","-1","1","2","2","3","-3","1","-1","4","-1","-2","9","2","-5","-1","3","0","-4","1","-9","-1","4","-2","-2","-2","-6","-3","2","3","-4","-1","-3","1","0","-4","6","1","-6","2","-1","-9","-2","-2","-12","5","-2","1","-8","-3","-12","0","3","4","6","-1","14","9","1","1","6","-4","-6","2","1","2","-12","2","0","6","-9","3","-7","-2","8","-3","5","4","2","1","7","3","-3","-1","10","0","-1","4","4","-6","0","-1","10","6","9","-2","-1","1","-6","9","-4","2","0","2","-2","12","2","-5","-12","2","16","-1","6","8","20","3","-2","12","-2","0","8","-3","5","-4","4","-6","12","1","18","-14","3","-9","-3","-1","-7","-1","0","-6","-10","4","10","6","-6","-2","6","-1","11","-2","6","12","-1","-2","3","0","1","-6","-22","9","2","-3","2","7","-8","2","7","-8","12","3","-18","-5","0","-4","2","-2","12","-1","-24","-7","8","-3","0","3","8","1","12","-10","-18","0","-4","1","-3","-4","-3","-4","8","6","-6","0","-12","1","10","-10","-14","-6","0","-9","2","2","-1","1","-7","-1","-4","6","-6","-9","6","4","-8","-2","6","0","3","-2","24","2","-1","-12","-6","-2","-4","5","12","12","9","-2","9","-16","0","1","-7","-6","18","-8","9","-20","16","-3","12","2","7","-12","15","2","-5","0","-8","-8","3","3","-3","-5","-5","4","26","-4","-22","6","-2","-12","4","-1","-17","-18","-7","14","-16","-3","-4","9","3","3","12","1","12","7","-10","1","-24","0","0","6","1","10","-24","-4","21","-10","-4","-6","-18","6","-27","2","0","-6","0","1","4","-11","-10","2","8","-6","-22","-12","-9","1","-24","2","9","-3","1","0","15","-1","20","6","6","22","4","-9","-21","-2","4","3","-26","-2","12","-7","0","8","8","-2","-18","-7","2","8","28","-12","-22","-3","-2","18","-12","5","4","0","12","4","-36","-2","-8","2","-16","-12","34","1","12","24","-6","7","-12","-8","0","3","-20","0","-12","-3","-26","-8","2","-1","14","-12","20","10","2","18","27","0","21","4","-8","-1","4","3","-24","4","-5","3","0","4","22","-8","-4","-6","0","6","24","0","-12","12","1","-1","-2","-10","-18","10","-3","14","-9","6","-3","0","-29","9","-14","-2","3","-2","-18","1","6","-1","7","7","16","1","12","4","0","-6","33","6","21","9","10","-6","-22","-4","24","8","-10","2","18","-6","-1","0","6","-3","-28","2","36","-24","-6","-2","14","1","32","12","-11","6","36","2","0","4","-6","-5","-12","-12","-40","-12","1","-9","-3","2","20","-9","-3","16","-26","0","-28","-1","-1","7","-2","6","12","-18","22","8","5","-9","27","20","-2","-16","0","3","-14","-12","-2","-2","8","-7","0","12","8","-15","9","-2","-8","5","-7","0","20","8","11","8","-12","-3","9","-3","12","3","18","5","-4","5","24","-4","0","-26","25","4","-2","22","-2","-6","6","2","-11","12","-12","-4","3","1","-30","17","24","18","24","7","-18","-14","-8","16","-18","3","-5","4","0","-9","-39","-3","0","-3","-8","-12","30","-1","10","-12","-12","-7","-4","10","22","-1","18","24","16","0","26","0","4","-6","15","-1","-28","-10","3","24","14","4","-19","-21","3","10","0","4","20","6","-8","18","32","-6","12","27","6","-2","-40","0","-36","6","12","0","-8","-1","6","-4","-10","11","-42","10","40","-2","14","-8","-14","6","-17","22","0","12","-4","9","-27","-1","-2","24","36","-2","-13","-9","1","3","37","-1","-14","0","7","-15","-29","1","16","-20","4","-6","-24","-6","-42","-22","6","-4","10","9","0","21","-6","2","-42","-4","-9","-3","8","26","-20","2","-28","-12","-6","7","15","0","24","-8","-3","-8","-28","2","2","18","-24","7","-9","-2","19","-8","1","-28","0","12","-49","22","6","3","36","2","20","-18","4","12","36","-5","-6","-4","-12","0","0","-12","-4","-4","-9","36","-14","2","-38","8","-9","-2","15","16","-20","12","0","-34","8","-1","-8","-12","7","-24","19","6","5","-7","-18","12","-2","8","-18","0","-9","-3","20","20","-52","0","-16","12","2","3","48","26","-12","8","33","-2","0","1","-7","-14","-42","12","12","-20","-15","-10","-45","-2","-38","-18","5","-27","22","0","-6","-21","8","-4","-42","8","11","1","-3","-4","12","-3","-46","24","3","-4","0","5","-2","-3","5","0","15","-4","52","-22","-26","8","6","4","4","6","22","0","27","-6","-38","-24","2","0","-12","12","-30","-12","-4","-1","56","1","-44","2","17","10","18","18","48","-10","7","3","24","-14","41","9","16","-6","50","3","-29","0","4","29","24","-9","-32","14","-3","2","-4","-3","-16","2","-12","18","-45","-1","0","-6","-12","1","14","-7","-20","-7","10","-16","-12","-1","36","-12","24","-4","-40","0","45","6","0","-33","-24","-6","9","-21","-1","-9","-34","-10","-3","6","24","22","0","4","-14","-24","-21","-8","-23","10","6","-2","4","-18","53","6","-56","1","18","0","6","-6","24","3","27","28","-16","-2","-6","-36","0","24","-48","6","-48","2","0","-14","36","-1","-10","-32","-4","-12","-48","11","21","-6","10","-36","37","-2","0","0","-8","-4","18","6","40","5","22","12","16","12","-25","40","9","12"],"lmfdb":"agrees","curve":{"cremona":"618b1","lmfdb":"618.b","ainvs":[1,1,0,-2819,-58803],"rank":1,"torsion":1},"derived":{"al":[[2,1],[3,1],[103,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.c","letter":"c","dim":1,"charpoly":["-2","1"],"traces":["1","-1","1","1","-3","-1","2","-1","1","3","-6","1","-1","-2","-3","1","0","-1","-4","-3","2","6","3","-1","4","1","1","2","-6","3","-7","-1","-6","0","-6","1","-10","4","-1","3","0","-2","5","-6","-3","-3","6","1","-3","-4","0","-1","6","-1","18","-2","-4","6","3","-3","-1","7","2","1","3","6","-13","0","3","6","-12","-1","-16","10","4","-4","-12","1","14","-3","1","0","-9","2","0","-5","-6","6","6","3","-2","3","-7","-6","12","-1","17","3","-6","4","-3","0","1","1","-6","-6","3","1","14","-18","-10","2","-15","4","-9","-6","-1","-3","0","3","25","1","0","-7","3","-2","5","-1","5","-3","9","-6","-8","13","-3","0","18","-3","-16","-6","6","12","6","1","18","16","-3","-10","6","-4","8","4","0","12","21","-1","-4","-14","6","3","6","-1","14","0","18","9","-12","-2","-12","0","-4","5","18","6","8","-6","3","-6","-12","-3","20","2","-1","-3","30","7","0","6","2","-12","0","1","-4","-17","3","-3","9","6","-13","-4","-13","3","-12","0","0","-1","3","-1","24","6","-4","6","-12","-3","-15","-1","-14","-14","-16","18","0","10","8","-2","4","15","-24","-4","-1","9","-12","6","-6","1","-18","3","14","0","12","-3","14","-25","1","-1","9","0","4","7","-9","-3","-18","2","-18","-5","0","1","-9","-5","-20","3","-6","-9","-18","6","-18","8","6","-13","12","3","11","0","-2","-18","-24","3","-4","16","-7","6","3","-6","-19","-12","12","-6","0","-1","-17","-18","17","-16","3","3","-9","10","-6","-6","-3","4","10","-8","-3","-4","3","0","-7","-12","1","-21","-3","1","-22","4","-6","14","6","-6","36","-3","3","-6","0","1","-4","-14","14","0","12","-18","17","-9","-10","12","39","2","-7","12","-15","0","42","4","-20","-5","-9","-18","-27","-6","-4","-8","-1","6","-3","-3","36","6","0","12","-9","3","-3","-20","25","-2","48","1","-28","3","0","-30","12","-7","-22","0","3","-6","6","-2","-31","12","5","0","6","-1","36","4","5","17","6","-3","0","3","9","-9","-42","-6","-16","13","-8","4","0","13","7","-3","-3","12","60","0","-34","0","18","1","6","-3","27","1","-16","-24","-36","-6","17","4","6","-6","0","12","-2","3","6","15","-15","1","-16","14","18","14","-12","16","8","-18","-3","0","24","-10","-18","-8","6","2","-27","-4","0","-15","8","24","6","4","14","1","0","-9","36","12","11","-6","21","6","36","-1","-26","18","-4","-3","-30","-14","-16","0","6","-12","-30","3","10","-14","6","25","-51","-1","-16","1","14","-9","3","0","0","-4","18","-7","-24","9","5","3","-12","18","-33","-2","9","18","-12","5","-6","0","-32","-1","-4","9","-3","5","-36","20","18","-3","9","6","-16","9","8","18","0","-6","-14","18","3","-8","0","-6","-9","13","-12","-12","18","-3","41","-11","20","0","-42","2","44","18","-1","24","24","-3","28","4","30","-16","45","7","-5","-6","0","-3","-12","6","45","19","2","12","15","-12","32","6","0","0","12","1","20","17","-4","18","-18","-17","-36","16","3","-3","-39","-3","28","9","9","-10","-18","6","0","6","-13","3","6","-4","38","-10","-13","8","-75","3","8","4","-12","-3","-6","0","11","7","0","12","33","-1","26","21","3","3","12","-1","-29","22","24","-4","0","6","-22","-14","-4","-6","-15","6","3","-36","-12","3","12","-3","-4","6","-15","0","-3","-1","-18","4","-14","14","-39","-14","-27","0","-16","-12","21","18","-22","-17","0","9","24","10","-18","-12","8","-39","6","-2","-19","7","4","-12","-6","15","34","0","-24","-42","-48","-4","-54","20","-1","5","-6","9","-40","18","-12","27","48","6","0","4","-6","8","30","1","40","-6","-18","3","-6","3","26","-36","14","-6","-21","0","-18","-12","12","9","-42","-3","2","3","14","20","-24","-25","17","2","1","-48","0","-1","50","28","9","-3","78","0","-40","30","4","-12","-48","7","-18","22","-9","0","6","-3","50","6","-18","-6","-24","2","29","31","-18","-12","-45","-5","28","0","0","-6","-3","1","50","-36","-9","-4","6","-5","-28","-17","-20","-6","0","3","72","0","-6","-3","12","-9","-22","9","-18","42","-30","6","1","16","-18","-13","-6","8","0","-4","6","0","96","-13","-18","-7","12","3","51","3","-13","-12","11","-60","-42","0","-20","34","-2","0","-12","-18","-1","-1","-24","-6","42","3","-34","-27","-4","-1","0","16","36","24","-7","36","24","6","7","-17","3","-4","36","-6","50","6","-19","0","-30","-12","17","2","12","-3","-6","-6","29","-15","0","15","-24","-1","-54","16","-17","-14","-84","-18","13","-14","17","12","6","-16","-22","-8","3","18","-3","3","-34","0","-9","-24","-27","10","10","18","-6","8","-24","-6","36","-2","-3","27","42","4","0","0","10","15","-60","-8","44","-24","-3","-6","36","-4","54","-14","3","-1","18","0","-52","9","-7","-36","12","-12","-40","-11","1","6","18","-21","12","-6","-3","-36","0","1","-22","26","-22","-18","0","4","0","3","-6","30","-42","14","16","16","6","0","-54","-6","0","12","36","30","36","-3","18","-10","3","14","12","-6","23","-25","0","51","-18","1","-32","16","-4","-1","0","-14","-36","9","14","-3","-51","0","-27","0","12","4","15","-18","2","7","17","24","39","-9","-28","-5","-10","-3"],"lmfdb":"agrees","curve":{"cremona":"618d1","lmfdb":"618.c","ainvs":[1,0,1,325,-7018],"rank":1,"torsion":3},"derived":{"al":[[2,1],[3,-1],[103,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.d","letter":"d","dim":1,"charpoly":["130","1"],"traces":["1","-1","1","1","0","-1","-4","-1","1","0","-3","1","2","4","0","1","-6","-1","-1","0","-4","3","-9","-1","-5","-2","1","-4","9","0","-1","-1","-3","6","0","1","5","1","2","0","0","4","2","-3","0","9","-6","1","9","5","-6","2","-12","-1","0","4","-1","-9","-12","0","8","1","-4","1","0","3","14","-6","-9","0","-12","-1","-16","-5","-5","-1","12","-2","2","0","1","0","12","-4","0","-2","9","3","3","0","-8","-9","-1","6","0","-1","-1","-9","-3","-5","6","6","1","-2","0","12","0","1","-10","0","5","-4","9","1","0","9","2","12","24","0","-2","-8","0","-1","0","4","8","-1","2","0","0","-3","4","-14","0","6","-12","9","-1","0","-6","12","-6","1","0","16","9","5","21","5","17","1","-6","-12","0","2","14","-2","-12","0","36","-1","-19","0","0","-12","-3","4","-9","0","-1","2","18","-9","20","-3","-12","-3","12","0","-7","8","8","9","0","1","18","-6","-4","0","18","1","-22","1","0","9","0","3","8","5","14","-6","-36","-6","0","-1","-9","2","3","0","-22","-12","-12","0","0","-1","4","10","-16","0","-12","-5","-28","4","-5","-9","-3","-1","20","0","12","-9","6","-2","0","-12","2","-24","-15","0","20","2","1","8","0","0","-2","1","12","0","-15","-4","27","-8","0","1","15","-2","-20","0","9","0","12","3","0","-4","3","14","-9","0","11","-6","-8","12","15","-9","11","1","-1","0","-18","6","-16","-12","0","6","0","-1","19","0","-1","-16","24","-9","0","-5","-3","-21","-18","-5","-8","-17","6","-1","0","6","-34","12","1","0","-24","-2","-7","-14","0","2","-18","12","-27","0","0","-36","6","1","-10","19","-10","0","24","0","-10","12","5","3","0","-4","-19","9","9","0","3","1","-8","-2","0","-18","6","9","-7","-20","2","3","-30","12","0","3","24","-12","-24","0","-18","7","-2","-8","0","-8","-28","-9","0","0","48","-1","14","-18","0","6","18","4","26","0","8","-18","-6","-1","0","22","2","-1","0","0","54","-9","0","0","0","-3","2","-8","4","-5","-30","-14","-2","6","0","36","-15","6","-19","0","-12","1","48","9","0","-2","-1","-3","6","0","8","22","-6","12","30","12","-32","0","-6","0","3","1","-16","-4","0","-10","9","16","-1","0","9","12","-9","5","0","28","21","-4","-18","5","0","9","17","3","0","1","2","-20","-6","0","21","-12","17","9","0","-6","6","2","-56","0","14","12","-6","-2","5","24","-12","15","-6","0","10","-20","36","-2","0","-1","-16","-8","-19","0","-18","0","-54","2","0","-1","48","-12","14","0","-3","15","-9","4","0","-27","-9","8","6","0","64","-1","-1","-15","0","2","18","20","18","0","15","-9","-43","0","20","-12","6","-3","58","0","-12","4","0","-3","0","-14","12","9","-27","0","8","-11","-7","6","0","8","17","-12","8","-15","-9","9","-8","-11","0","-1","-18","1","4","0","18","18","-15","-6","0","16","-4","12","-30","0","23","-6","18","0","45","1","-34","-19","-22","0","-48","1","36","16","0","-24","0","9","1","0","0","5","15","3","0","21","8","18","-24","5","-4","8","14","17","0","-6","38","1","-36","0","-12","-6","-16","34","0","-12","-3","-1","-28","0","-9","24","-12","2","25","7","3","14","-30","0","-10","-2","-22","18","0","-12","18","27","-12","0","48","0","-4","36","0","-6","36","-1","36","10","4","-19","-24","10","0","0","-16","-24","0","0","5","10","-12","-12","0","-5","-81","-3","-28","0","-24","4","-1","19","-5","-9","-27","-9","4","0","-3","-3","15","-1","0","8","20","2","-24","0","20","18","12","-6","0","-9","0","7","6","20","30","-2","-5","-3","0","30","-24","-12","-46","0","2","-3","9","-24","0","12","-15","24","-6","0","-4","18","20","-7","-45","2","-1","8","1","0","-12","8","-31","28","0","9","-42","0","44","0","-2","-48","6","1","0","-14","12","18","0","0","-22","-6","-15","-18","0","-4","2","-26","27","0","33","-8","40","18","0","6","-24","1","-22","0","15","-22","-21","-2","5","1","-20","0","0","0","36","-54","9","9","0","0","-40","0","12","0","-36","3","16","-2","0","8","9","-4","36","5","3","30","48","14","0","2","-9","-6","33","0","-10","-36","11","15","0","-6","-2","19","-8","0","-54","12","11","-1","15","-48","48","-9","-34","0","11","2","-54","1","0","3","-1","-6","-15","0","52","-8","-18","-22","0","6","8","-12","-16","-30","-45","-12","-28","32","0","0","42","6","44","0","0","-3","-12","-1","0","16","19","4","-6","0","28","10","-1","-9","0","-16","23","1","24","0","18","-9","-7","-12","0","9","-12","-5","-32","0","-3","-28","6","-21","0","4","-18","18","-9","-5","72","0","-8","-9","0","-17","44","-3","6","0","48","-1","-36","-2","0","20","0","6","29","0","-34","-21","-24","12","-25","-17","1","-9","30","0","-9","6","-24","-6","0","-2","26","56","-7","0","-51","-14","0","-12","0","6","9","2","-32","-5","-18","-24","6","12","0","-15","-27","6","48","0","-30","-10","0","20","0","-36","-40","2","6","0","-12","1","4","16","-10","8","-12","19","-9","0","-10","18","51","0","0","54","24","-2","-18","0","-52","1","-10","-48","0","12","17","-14","5","0"],"lmfdb":"agrees","curve":{"cremona":"618c1","lmfdb":"618.d","ainvs":[1,0,1,-21,34],"rank":1,"torsion":3},"derived":{"al":[[2,1],[3,-1],[103,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.e","letter":"e","dim":1,"charpoly":["94","1"],"traces":["1","1","-1","1","-2","-1","-2","1","1","-2","1","-1","-4","-2","2","1","-4","1","-3","-2","2","1","-5","-1","-1","-4","-1","-2","3","2","-3","1","-1","-4","4","1","-11","-3","4","-2","6","2","6","1","-2","-5","0","-1","-3","-1","4","-4","6","-1","-2","-2","3","3","6","2","4","-3","-2","1","8","-1","8","-4","5","4","2","1","-10","-11","1","-3","-2","4","10","-2","1","6","0","2","8","6","-3","1","1","-2","8","-5","3","0","6","-1","-17","-3","1","-1","-14","4","1","-4","-4","6","0","-1","-10","-2","11","-2","7","3","10","3","-4","6","8","2","-10","4","-6","-3","12","-2","-8","1","-6","8","4","-1","6","8","2","-4","12","5","17","4","0","2","-4","1","-6","-10","3","-11","-1","1","-9","-3","-4","-2","6","4","14","10","-6","-2","10","1","-1","6","2","0","-15","2","3","8","-3","6","-14","-3","2","1","-6","1","20","-2","-11","8","-4","-5","22","3","-4","0","2","6","4","-1","8","-17","-8","-3","-8","1","-24","-1","-8","-14","-6","4","-12","1","-5","-4","-3","-4","-8","6","-2","0","-12","-1","6","-10","10","-2","16","11","-2","-2","-1","7","-3","3","-20","10","2","3","6","-4","0","6","-10","8","13","2","-20","-10","-1","4","6","-6","12","-3","0","12","13","-2","-5","-8","-8","1","-23","-6","22","8","3","4","-20","-1","-12","6","-1","8","-3","2","-3","-4","-8","12","-1","5","-1","17","-3","4","-30","0","26","2","-6","-4","-12","1","-1","-6","17","-10","12","3","-12","-11","-1","-1","20","1","-12","-9","14","-3","-8","-4","-16","-2","-1","6","0","4","5","14","4","10","-22","-6","3","-2","0","10","12","1","4","-1","10","6","0","2","10","0","-11","-15","-16","2","1","3","-7","8","-3","-3","20","6","-10","-14","-24","-3","25","2","4","1","30","-6","-4","1","-8","20","-16","-2","-10","-11","10","8","20","-4","18","-5","6","22","-12","3","-8","-4","-12","0","-12","2","-20","6","8","4","6","-1","4","8","6","-17","-24","-8","20","-3","-4","-8","-20","1","-14","-24","-6","-1","-6","-8","12","-14","-2","-6","-11","4","-11","-12","-12","1","-12","-5","0","-4","-17","-3","0","-4","30","-8","0","6","4","-2","-8","0","4","-12","31","-1","26","6","6","-10","15","10","1","-2","-3","16","-17","11","-2","-2","1","-2","-34","-1","6","7","9","-3","-16","3","0","-20","4","10","3","2","19","3","-6","6","-30","-4","-16","0","-14","6","6","-10","3","8","6","13","-20","2","44","-20","-10","-10","34","-1","-32","4","1","6","12","-6","-12","12","-2","-3","-4","0","-20","12","15","13","-21","-2","28","-5","-3","-8","26","-8","20","1","3","-23","-2","-6","0","22","14","8","-27","3","31","4","-2","-20","12","-1","2","-12","6","6","-24","-1","0","8","-20","-3","-3","2","44","-3","11","-4","20","-8","-17","12","4","-1","-9","5","-20","-1","-22","17","0","-3","-24","4","4","-30","21","0","-14","26","-2","2","30","-6","9","-4","-4","-12","5","1","14","-1","-8","-6","0","17","6","-10","8","12","46","3","9","-12","8","-11","-7","-1","-16","-1","24","20","38","1","2","-12","8","-9","20","14","-14","-3","6","-8","0","-4","34","-16","12","-2","7","-1","20","6","5","0","-2","4","-19","5","3","14","44","4","20","10","8","-22","16","-6","12","3","2","-2","48","0","36","10","12","12","-32","1","6","4","-6","-1","-14","10","-8","6","-10","0","42","2","45","10","-16","0","-12","-11","-15","-15","2","-16","4","2","35","1","1","3","7","-7","34","8","3","-3","-33","-3","-24","20","20","6","-24","-10","-26","-14","-2","-24","-34","-3","-24","25","-6","2","-30","4","33","1","0","30","28","-6","8","-4","10","1","15","-8","8","20","-13","-16","-40","-2","-2","-10","20","-11","-3","10","-35","8","1","20","-24","-4","-19","18","-6","-5","8","6","-28","22","-12","-12","-24","3","2","-8","0","-4","0","-12","-24","0","-13","-12","18","2","-6","-20","5","6","-33","8","20","4","8","6","-24","-1","-28","4","23","8","-15","6","3","-17","-22","-24","-18","-8","2","20","-3","-3","-28","-4","-4","-8","20","-20","-14","1","-16","-14","12","-24","27","-6","0","-1","1","-6","-10","-8","-20","12","3","-14","43","-2","-10","-6","3","-11","2","4","-18","-11","8","-12","-22","-12","-3","1","1","-12","12","-5","-34","0","1","-4","12","-17","30","-3","3","0","9","-4","-20","30","30","-8","-6","0","20","6","-26","4","55","-2","6","-8","6","0","-52","4","34","-12","12","31","-24","-1","28","26","1","6","10","6","-32","-10","-17","15","-24","10","3","1","-12","-2","50","-3","-25","16","12","-17","8","11","16","-2","1","-2","0","1","-40","-2","-20","-34","-9","-1","-24","6","12","7","22","9","-4","-3","-14","-16","-48","3","0","0","8","-20","-8","4","-45","10","16","3","-8","2","11","19","1","3","-14","-6","9","6","0","-30","8","-4","22","-16","-5","0","-29","-14","-30","6","-4","6","-7","-10","40","3","22","8","54","6","-8","13","-3","-20","-24","2","-22","44","0","-20","-16","-10","-8","-10","-12","34","-36","-1","-34","-32","-4","4","8","1","1","6","-10","12","19","-6","16","-12","0","12","-30","-2","20","-3","-10","-4","48","0","-19","-20","11","12"],"lmfdb":"agrees","curve":{"cremona":"618e1","lmfdb":"618.e","ainvs":[1,1,1,1,5],"rank":1,"torsion":1},"derived":{"al":[[2,-1],[3,1],[103,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.f","letter":"f","dim":1,"charpoly":["-24","1"],"traces":["1","1","1","1","-4","1","-4","1","1","-4","-3","1","-6","-4","-4","1","2","1","3","-4","-4","-3","1","1","11","-6","1","-4","-5","-4","-3","1","-3","2","16","1","11","3","-6","-4","-12","-4","6","-3","-4","1","-10","1","9","11","2","-6","-4","1","12","-4","3","-5","0","-4","8","-3","-4","1","24","-3","-2","2","1","16","0","1","-4","11","11","3","12","-6","-14","-4","1","-12","0","-4","-8","6","-5","-3","-9","-4","24","1","-3","-10","-12","1","-17","9","-3","11","6","2","-1","-6","16","-4","0","1","10","12","11","-4","-19","3","-4","-5","-6","0","-8","-4","-2","8","-12","-3","-24","-4","-8","1","6","24","8","-3","-12","-2","-4","2","0","1","11","16","-10","0","18","1","20","-4","9","11","15","11","3","3","2","12","12","-6","2","-14","-4","-4","-4","1","-7","-12","12","0","19","-4","23","-8","3","6","2","-5","-44","-3","0","-9","-24","-4","7","24","8","1","-44","-3","-6","-10","-4","-12","18","1","-2","-17","24","9","-24","-3","24","11","-2","6","20","2","48","-1","1","-6","-9","16","22","-4","0","0","-24","1","12","10","-4","12","-12","11","-8","-4","11","-19","-3","3","-28","-4","12","-5","-10","-6","40","0","-14","-8","15","-4","-8","-2","1","8","-36","-12","-18","-3","0","-24","25","-4","-3","-8","-8","1","-21","6","-44","24","-5","8","24","-3","16","-12","-9","-2","-19","-4","-15","2","24","0","-33","1","-3","11","-3","16","6","-10","-20","0","-12","18","48","1","-13","20","-17","-4","12","9","0","11","-3","15","-6","11","-24","3","6","3","-32","2","18","12","-1","12","0","-6","-31","2","16","-14","-30","-4","15","-4","0","-4","6","1","-66","-7","10","-12","40","12","22","0","11","19","8","-4","5","23","-19","-8","9","3","-8","6","-4","2","-26","-5","23","-44","-6","-3","-6","0","0","-9","-8","-24","24","-4","-10","7","-2","24","16","8","-36","1","-12","-44","16","-3","26","-6","-24","-10","30","-4","10","-12","-8","18","6","1","-48","-2","6","-17","-20","24","2","9","8","-24","56","-3","-26","24","-12","11","22","-2","18","6","-4","20","-33","2","-11","48","0","-1","0","1","0","-6","11","-9","-14","16","-8","22","-10","-4","22","0","-32","0","18","-24","5","1","8","12","20","10","3","-4","-27","12","9","-12","15","11","36","-8","15","-4","6","11","36","-19","3","-3","-96","3","-6","-28","2","-4","7","12","-5","-5","12","-10","-34","-6","8","40","2","0","-18","-14","33","-8","-4","15","-6","-4","-66","-8","-4","-2","68","1","-8","8","-7","-36","-6","-12","-10","-18","12","-3","0","0","22","-24","19","25","9","-4","-24","-3","23","-8","-6","-8","16","1","3","-21","4","6","30","-44","2","24","27","-5","25","8","-44","24","-6","-3","-22","16","0","-12","72","-9","0","-2","-24","-19","-27","-4","-20","-15","7","2","-40","24","5","0","8","-33","-15","1","56","-3","-44","11","-38","-3","-36","16","-6","6","1","-10","76","-20","-4","0","-30","-12","-45","18","18","48","11","1","10","-13","-2","20","0","-17","12","-4","24","12","12","9","-9","0","-24","11","19","-3","32","15","24","-6","32","11","8","-24","-2","3","8","6","10","3","20","-32","60","2","48","18","48","12","33","-1","20","12","1","0","36","-6","41","-31","-9","2","22","16","22","-14","22","-30","32","-4","-54","15","0","-4","24","0","-12","-4","-24","6","-36","1","0","-66","12","-7","4","10","-32","-12","-4","40","-4","12","3","22","-12","0","48","11","-5","19","-8","8","-24","-4","47","5","11","23","15","-19","68","-8","-3","9","-1","3","0","-8","-28","6","24","-4","-48","2","12","-26","-44","-5","-24","23","-10","-44","-6","-6","33","-3","40","-6","-24","0","46","0","-14","-9","-3","-8","-72","-24","15","24","6","-4","4","-10","-8","7","-55","-2","37","24","1","16","12","8","-17","-36","-36","1","6","-12","-28","-44","-18","16","18","-3","-60","26","0","-6","0","-24","14","-10","25","30","-12","-4","-30","10","-3","-12","-3","-8","-40","18","-8","6","0","1","2","-48","-21","-2","-7","6","-33","-17","-44","-20","-36","24","0","2","-5","9","-8","8","0","-24","24","56","76","-3","-48","-26","16","24","27","-12","-20","11","-9","22","12","-2","16","18","-19","6","21","-4","50","20","-15","-33","28","2","18","-11","24","48","38","0","-39","-1","-33","0","-32","1","-38","0","-3","-6","18","11","-76","-9","-3","-14","-41","16","-4","-8","6","22","-92","-10","8","-4","-20","22","11","0","-24","-32","-12","0","-10","18","16","-24","48","5","20","1","-8","8","-13","12","42","20","12","10","-17","3","96","-4","-23","-27","12","12","-14","9","-19","-12","0","15","-20","11","32","36","-3","-8","-30","15","96","-4","-6","6","15","11","-8","36","-24","-19","-28","3","28","-3","6","-96","12","3","0","-6","-32","-28","-32","2","-9","-4","18","7","0","12","121","-5","-1","-5","-30","12","27","-10","0","-34","24","-6","-10","8","-31","40","-9","2","-12","0","16","-18","-47","-14","24","33","-30","-8","-58","-4","-72","15","15","-6","0","-4","-22","-66","0","-8","8","-4","32","-2","6","68","36","1","-44","-8","-66","8","20","-7","27","-36","10","-6","29","-12","96","-10","40","-18","6","12","16","-3","22","0","-96","0","-25","22","11","-24"],"lmfdb":"agrees","curve":{"cremona":"618f1","lmfdb":"618.f","ainvs":[1,0,0,-185,1401],"rank":1,"torsion":1},"derived":{"al":[[2,-1],[3,-1],[103,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.g","letter":"g","dim":1,"charpoly":["30","1"],"traces":["1","1","1","1","3","1","-2","1","1","3","-2","1","3","-2","3","1","0","1","0","3","-2","-2","-3","1","4","3","1","-2","-2","3","-3","1","-2","0","-6","1","2","0","3","3","0","-2","-3","-2","3","-3","-10","1","-3","4","0","3","10","1","-6","-2","0","-2","9","3","-5","-3","-2","1","9","-2","-5","0","-3","-6","8","1","-4","2","4","0","4","3","-2","3","1","0","-3","-2","0","-3","-2","-2","10","3","-6","-3","-3","-10","0","1","-7","-3","-2","4","-13","0","1","3","-6","10","9","1","-2","-6","2","-2","3","0","-9","-2","3","9","0","3","-7","-5","0","-3","-3","-2","-7","1","-3","9","3","-2","0","-5","3","0","-18","-3","-16","-6","-10","8","-6","1","-6","-4","-3","2","10","4","-8","0","0","4","-9","3","8","-2","10","3","6","1","22","0","-6","-3","-4","-2","-4","0","0","-3","6","-2","-8","-2","9","10","20","3","20","-6","-5","-3","6","-3","0","-10","-2","0","-4","1","-16","-7","9","-3","23","-2","7","4","-5","-13","4","0","0","1","-3","3","0","-6","4","10","8","9","-9","1","6","-2","-4","-6","0","2","4","-2","4","3","24","0","-13","-9","4","-2","-2","3","-30","9","-2","0","20","3","-14","-7","1","-5","-9","0","0","-3","-3","-3","-18","-2","6","-7","0","1","29","-3","-4","9","-2","3","-26","-2","30","0","10","-5","16","3","-9","0","-6","-18","-8","-3","24","-16","-3","-6","9","-10","5","8","0","-6","0","1","-17","-6","-7","-4","-3","-3","27","2","-2","10","-9","4","6","-8","-13","0","-15","0","9","4","1","-9","3","3","10","8","-6","-2","34","10","4","3","9","6","0","1","12","22","-2","0","20","-6","1","-3","2","-4","-15","-2","25","-4","3","0","6","0","20","-3","-9","6","-17","-2","28","-8","3","-2","-9","9","24","10","0","20","25","3","-19","20","-7","-6","-12","-5","36","-3","0","6","-20","-3","-22","0","-3","-10","-6","-2","-23","0","-7","-4","18","1","12","-16","-3","-7","2","9","0","-3","3","23","-6","-2","-8","7","0","4","32","-5","-9","-13","3","4","-4","0","14","0","-18","1","-18","-3","-9","3","-16","0","-28","-6","21","4","-10","10","0","8","10","9","-6","-9","-9","1","8","6","-6","-2","0","-4","24","-6","-3","0","4","2","30","4","10","-2","-17","4","0","3","-8","24","-18","0","-30","-13","0","-9","-4","4","-1","-2","-9","-2","-4","3","10","-30","8","9","6","-2","0","0","10","20","-26","3","6","-14","6","-7","-21","1","8","-5","22","-9","-15","0","0","0","-6","-3","-16","-3","-11","-3","-4","-18","9","-2","-39","6","-4","-7","26","0","8","1","0","29","3","-3","20","-4","6","9","3","-2","-40","3","-8","-26","0","-2","-14","30","9","0","0","10","27","-5","20","16","6","3","13","-9","20","0","-6","-6","40","-18","-5","-8","0","-3","4","24","6","-16","-13","-3","-9","-6","0","9","-28","-10","9","5","-2","8","21","0","-32","-6","-4","0","-12","1","-32","-17","-16","-6","6","-7","-20","-4","9","-3","-13","-3","0","27","23","2","-6","-2","0","10","7","-9","-30","4","-2","6","-5","-8","-21","-13","8","0","4","-15","-30","0","-9","9","0","4","35","1","2","-9","-3","3","-20","3","-29","10","0","8","0","-6","-10","-2","4","34","-21","10","-9","4","8","3","-24","9","12","6","-9","0","19","1","-18","12","6","22","-33","-2","9","0","-4","20","-17","-6","-30","1","0","-3","0","2","6","-4","4","-15","10","-2","-11","25","4","-4","-34","3","14","0","24","6","-4","0","-54","20","-13","-3","30","-9","24","6","4","-17","-48","-2","0","28","-2","-8","-18","3","0","-2","-30","-9","26","9","-14","24","-2","10","9","0","-18","20","20","25","34","3","-2","-19","-14","20","-8","-7","5","-6","1","-12","0","-5","-2","36","-9","-3","10","0","-32","6","0","-20","-36","-3","30","-22","-3","0","-18","-3","-18","-10","-18","-6","-24","-2","-15","-23","6","0","33","-7","4","-4","0","18","27","1","-46","12","29","-16","-10","-3","-12","-7","-4","2","0","9","-16","0","-2","-3","24","3","6","23","-26","-6","-6","-2","-15","-8","30","7","18","0","0","4","10","32","8","-5","18","-9","16","-13","17","3","19","4","-9","-4","66","0","0","14","-6","0","0","-18","51","1","-8","-18","2","-3","-22","-9","24","3","0","-16","-12","0","-3","-28","40","-6","-25","21","9","4","-12","-10","14","10","5","0","-6","8","-19","10","0","9","42","-6","37","-9","0","-9","40","1","18","8","-17","6","4","-6","-15","-2","-7","0","6","-4","-30","24","-3","-6","-33","-3","34","0","27","4","51","2","14","30","-2","4","0","10","60","-2","-9","-17","6","4","0","0","6","3","60","-8","-28","24","-13","-18","-12","0","6","-30","-15","-13","-6","0","52","-9","9","-4","24","4","8","-1","1","-2","2","-9","0","-2","3","-4","0","3","-10","10","10","-30","4","8","0","9","-6","6","18","-2","-12","0","34","0","-22","10","-12","20","4","-26","36","3","-22","6","9","-14","-48","6","35","-7","0","-21","-42","1","32","8","12","-5","-12","22","-20","-9","-2","-15","3","0","69","0","20","0","9","-6","-58","-3","1","-16","21","-3","40","-11","2","-3"],"lmfdb":"agrees","curve":{"cremona":"618g1","lmfdb":"618.g","ainvs":[1,0,0,-1484,-22128],"rank":0,"torsion":1},"derived":{"al":[[2,-1],[3,-1],[103,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.h","letter":"h","dim":2,"charpoly":["-2","-38","1"],"traces":["2","-2","-2","2","2","2","6","-2","2","-2","0","-2","2","-6","-2","2","-2","-2","4","2","-6","0","0","2","-2","-2","-2","6","-6","2","4","-2","0","2","12","2","10","-4","-2","-2","-2","6","16","0","2","0","14","-2","10","2","2","2","6","2","6","-6","-4","6","6","-2","8","-4","6","2","-4","0","14","-2","0","-12","-6","-2","-10","-10","2","4","6","2","0","2","2","2","-8","-6","4","-16","6","0","-14","-2","0","0","-4","-14","10","2","10","-10","0","-2","-12","-2","2","-2","-12","-6","16","-2","-8","-6","-10","6","-22","4","-18","-6","2","-6","0","2","-16","-8","2","4","0","-6","-16","-2","-16","4","8","0","18","-14","-2","2","0","0","8","12","-14","6","-6","2","-30","10","-10","10","-2","-2","0","-4","-2","-6","-26","-2","0","0","-6","-2","-18","-2","12","-2","-6","8","16","6","-18","-4","4","16","4","-6","6","0","-6","14","24","2","-38","0","-8","0","10","4","6","14","-6","-10","-6","-2","-22","-10","4","10","8","0","8","2","-14","12","-42","2","16","-2","0","2","6","12","-14","6","6","-16","28","2","-18","8","10","6","-8","10","-6","-6","-2","22","12","-4","-40","18","-6","6","12","-2","8","6","0","0","-8","-2","16","16","-2","8","46","-2","-2","-4","8","0","16","6","-18","16","-4","2","18","16","30","-4","-6","-8","48","0","-24","-18","14","14","34","2","-48","-2","0","0","12","0","10","-8","4","-12","0","14","2","-6","-10","6","12","-2","-26","30","-10","-10","0","10","-12","-10","0","2","18","2","60","0","12","4","-16","2","18","6","-2","26","-48","2","26","0","12","0","0","6","-24","2","-16","18","2","2","-14","-12","8","2","36","6","-32","-8","10","-16","8","-6","-34","18","22","4","-30","-4","24","-16","18","-4","-42","6","22","-6","-2","0","60","6","36","-14","0","-24","-40","-2","-24","38","16","0","-40","8","10","0","-2","-10","-12","-4","34","-6","0","-14","18","6","-30","10","16","6","-16","2","24","22","16","10","48","-4","-18","-10","-8","-8","-12","0","-12","-8","-18","-2","12","14","34","-12","2","42","0","-2","-38","-16","0","2","0","0","-8","-2","-8","-6","10","-12","-14","14","14","-6","14","-6","0","16","6","-28","-40","-2","-10","18","30","-8","-18","-10","24","-6","10","8","12","-10","-38","6","2","6","-12","2","18","-22","0","-12","-12","4","-2","40","2","-18","-18","6","20","-6","26","-12","-32","2","36","-8","0","-6","12","0","8","0","6","8","62","2","10","-16","18","-16","34","2","-8","-8","-12","-46","-70","2","-18","2","6","4","24","-8","38","0","-16","-16","-48","-6","-36","18","18","-16","-12","4","-60","-2","-4","-18","2","-16","-6","-30","-4","4","22","6","-20","8","-6","-48","-34","0","8","24","6","18","-20","-14","16","-14","-24","-34","36","-2","-64","48","38","2","16","0","8","0","8","-12","-36","0","-12","-10","-10","8","18","-4","4","12","-6","0","0","-14","-34","-2","6","6","-16","10","-16","-6","6","-12","-36","2","-28","26","22","-30","-24","10","-30","10","-4","0","18","-10","-22","12","-8","10","2","0","12","-2","-8","-18","-2","-2","-26","-60","14","0","-16","-12","-48","-4","42","16","20","-2","66","-18","-16","-6","-34","2","32","-26","0","48","-66","-2","-14","-26","-6","0","-10","-12","18","0","14","0","-4","-6","-26","24","-6","-2","-8","16","0","-18","-28","-2","4","-2","-18","14","18","12","14","-8","32","-2","-10","-36","14","-6","6","32","8","8","48","-10","72","16","6","-8","-24","6","-2","34","2","-18","2","-22","54","-4","-12","30","-28","4","-24","-24","40","16","36","-18","62","4","6","42","14","-6","20","-22","-12","6","-48","2","20","0","-8","-60","-60","-6","70","-36","0","14","90","0","0","24","8","40","54","2","6","24","-16","-38","-42","-16","20","0","2","40","-4","-8","6","-10","-46","0","-6","2","-16","10","2","12","-66","4","22","-34","-8","6","48","0","50","14","-16","-18","18","-6","12","30","18","-10","14","-16","0","-6","4","16","24","-2","50","-24","-18","-22","18","-16","-64","-10","-30","-48","14","4","42","18","6","10","48","8","60","8","-48","12","-78","0","32","12","24","8","-34","18","-20","2","-14","-12","-30","-14","-72","-34","-34","12","6","-2","16","-42","48","0","30","2","44","38","0","16","-28","0","-8","-2","-12","0","-60","0","8","8","-10","2","26","8","10","6","-4","-10","12","12","56","14","0","-14","-30","-14","-48","6","-2","-14","0","6","18","0","10","-16","54","-6","50","28","-12","40","32","2","76","10","26","-18","-12","-30","20","8","10","18","-24","10","50","-24","0","6","108","-10","8","-8","12","-12","36","10","-36","38","0","-6","22","-2","24","-6","-18","12","108","-2","-36","-18","-60","22","-50","0","-56","12","-12","12","-56","-4","0","2","16","-40","48","-2","56","18","-18","18","-48","-6","-10","-20","2","6","-4","-26","56","12","48","32","0","-2","-84","-36","-26","8","22","0","-54","6","-12","-12","60","0","20","-8","0","0","-76","-6","-24","-8","24","-62","-24","-2","96","-10","16","16","-28","-18","-32","16","-2","-34","16","-2","30","8","14","8","-8","12","-24","46","-8","70","28","-2","8","18","-36","-2","-36","-6","-16","-4","32","-24","-64","8","10","-38","-10","0"],"lmfdb":"agrees","derived":{"al":[[2,1],[3,1],[103,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.i","letter":"i","dim":2,"charpoly":["-3602","-80","1"],"traces":["2","-2","2","2","4","-2","0","-2","2","-4","6","2","0","0","4","2","0","-2","-2","4","0","-6","10","-2","2","0","2","0","2","-4","-10","-2","6","0","4","2","-2","2","0","-4","-4","0","-4","6","4","-10","12","2","-10","-2","0","0","4","-2","16","0","-2","-2","8","4","-8","10","0","2","4","-6","4","0","10","-4","8","-2","12","2","2","-2","4","0","4","4","2","4","24","0","-20","4","2","-6","-2","-4","4","10","-10","-12","-16","-2","2","10","6","2","-28","0","-2","0","4","-4","-16","2","-16","-16","-2","0","2","2","16","2","0","-8","-20","-4","0","8","-4","-10","0","0","-12","-2","-4","-4","-8","6","-12","-4","4","0","-16","-10","-6","4","12","-8","4","2","4","-12","-10","-2","-10","-2","-22","2","0","-4","-32","0","0","-4","4","-4","-4","-2","10","-4","16","-24","-2","0","-22","20","-2","-4","-4","-2","16","6","8","2","0","4","2","-4","-8","-10","-12","10","-20","12","0","16","12","2","8","-2","4","-10","-24","-6","32","-2","4","28","0","0","-20","2","10","0","-18","-4","-20","4","8","16","-32","-2","-12","16","12","16","-20","2","16","0","2","-2","-14","-2","-8","-16","4","-2","-8","0","44","8","4","20","34","4","24","0","2","-8","-20","4","-12","10","24","0","10","0","26","12","-20","2","-14","4","-8","4","2","8","0","-6","20","12","-2","4","-14","-4","-6","0","4","16","22","10","-6","6","-10","-4","-40","-12","32","8","-16","-4","-12","-2","66","-4","2","12","40","10","20","2","6","10","-4","2","-24","22","-28","-2","-16","0","12","4","-2","32","20","0","6","0","4","4","0","-4","6","4","-16","4","60","2","16","-10","-16","4","20","-16","-12","24","-2","2","12","0","-30","22","2","-20","-42","2","0","4","16","4","28","2","-38","-16","0","-6","20","-8","4","-2","-20","0","32","-4","0","-2","0","4","36","8","16","10","-4","12","12","-10","-8","20","0","-12","0","0","28","-16","-12","-12","-20","-2","20","-8","-4","2","8","-4","20","10","-8","24","48","6","44","-32","-12","2","-12","-4","-12","-28","4","0","-14","0","10","20","-16","-2","4","-10","48","0","-6","18","12","4","-52","20","12","-4","-80","-8","0","-16","4","32","-58","2","4","12","4","-16","2","-12","-30","-16","-10","20","34","-2","-4","-16","-10","0","0","-2","-24","2","-22","14","8","2","-8","8","0","16","-30","-4","-6","2","-32","8","-4","0","4","-44","0","-8","-36","-4","-50","-20","4","-34","-12","-4","-8","-24","-4","0","-20","-2","-16","8","10","20","36","-4","0","12","16","-10","-12","-24","28","0","-2","-10","-50","0","-56","-26","-22","-12","-12","20","12","-2","-2","14","-4","-4","56","8","-4","-4","-22","-2","30","-8","16","0","60","6","8","-20","8","-12","-12","2","-64","-4","0","14","-30","4","-32","6","2","0","-56","-4","6","-16","-8","-22","-2","-10","40","6","-12","-6","40","10","-24","4","-20","40","58","12","12","-32","0","-8","-8","16","-6","4","12","12","-6","2","84","-66","8","4","0","-2","24","-12","4","-40","40","-10","46","-20","-24","-2","18","-6","-40","-10","32","4","40","-2","-12","24","4","-22","24","28","-60","2","0","16","20","0","4","-12","-20","-4","18","2","36","-32","10","-20","0","0","6","-6","-18","0","40","-4","-76","-4","-20","0","-8","4","0","-6","8","-4","24","16","4","-4","-32","-60","8","-2","28","-16","-12","10","20","16","32","-4","12","-20","-48","16","34","12","-20","-24","-28","2","10","-2","16","-12","-24","0","26","30","2","-22","10","-2","-24","20","-14","42","18","-2","-32","0","-8","-4","12","-16","-24","-4","4","-28","32","-2","60","38","-8","16","64","0","26","6","44","-20","0","8","-40","-4","4","2","-38","20","20","0","34","-32","-28","4","0","0","24","2","2","0","-14","-4","2","-36","120","-8","14","-16","-20","-10","16","4","56","-12","-12","-12","60","10","-44","8","24","-20","-32","0","-60","12","10","0","-56","0","-20","-28","26","16","14","12","-24","12","-20","20","4","2","24","-20","-14","8","-6","4","-58","-2","-8","-8","40","4","12","-20","2","-10","24","8","-48","-24","0","-48","8","-6","0","-44","20","32","30","12","-100","-2","-2","12","48","4","12","12","-14","28","58","-4","-36","0","-6","14","-32","0","76","-10","4","-20","-40","16","-34","2","22","-4","-16","10","32","-48","-6","0","0","6","16","-18","-10","-12","-46","-4","-56","52","-40","-20","-44","-12","24","4","32","80","-2","8","44","0","-16","16","-16","-4","48","-32","-12","58","8","-2","56","-4","66","-12","52","-4","4","16","2","-2","16","12","-62","30","40","16","-32","10","-58","-20","20","-34","24","2","16","4","6","16","-72","10","-32","0","-4","0","-10","2","-60","24","-24","-2","28","22","40","-14","-28","-8","-48","-2","72","8","-16","-8","48","0","-10","-16","12","30","-12","4","-34","6","-2","-2","28","32","10","-8","20","4","-100","0","-60","-4","6","44","98","0","-8","8","4","36","58","4","12","50","0","20","60","-4","4","34","6","12","0","4","24","8","-16","24","-4","4","-96","0","60","20","-8","2","44","16","16","-8","-32","-10","-6","-20","-16","-36","-14","4","-32","0","20","-12","4","-16","-80","10","-12","12","80","24","66","-28","-2","0"],"lmfdb":"agrees","derived":{"al":[[2,1],[3,-1],[103,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.j","letter":"j","dim":2,"charpoly":["-34","-8","1"],"traces":["2","2","2","2","0","2","4","2","2","0","2","2","-4","4","0","2","4","2","-6","0","4","2","2","2","-6","-4","2","4","6","0","-2","2","2","4","4","2","-6","-6","-4","0","0","4","-4","2","0","2","16","2","-2","-6","4","-4","-16","2","-4","4","-6","6","-4","0","8","-2","4","2","-12","2","-8","4","2","4","-4","2","0","-6","-6","-6","0","-4","-20","0","2","0","-16","4","-12","-4","6","2","14","0","-20","2","-2","16","4","2","2","-2","2","-6","20","4","2","-4","4","-16","-16","2","0","-4","-6","4","10","-6","4","6","-4","-4","-4","0","-16","8","0","-2","0","4","4","2","-4","-12","-8","2","-8","-8","0","4","24","2","6","4","16","-4","8","2","-16","0","-2","-6","18","-6","-6","-6","4","0","-12","-4","0","-20","-16","0","8","2","-34","0","-4","-16","22","4","18","-12","-6","-4","-4","6","-12","2","-4","14","-8","0","-18","-20","8","2","16","-2","16","16","4","4","0","2","-4","2","-12","-2","8","2","-16","-6","-8","20","-4","4","28","2","2","-4","-10","4","-16","-16","-4","-16","8","2","-16","0","0","-4","28","-6","4","4","-6","10","-18","-6","24","4","0","6","32","-4","4","-4","-20","-4","10","0","16","-16","2","8","16","0","0","-2","-16","0","14","4","-2","4","-12","2","10","-4","4","-12","6","-8","-8","2","-4","-8","14","-8","6","0","26","4","-20","24","-6","2","22","6","-2","4","8","16","28","-4","4","8","28","2","10","-16","2","0","16","-2","-4","-6","2","18","-16","-6","0","-6","20","-6","16","4","0","0","2","-12","4","-4","30","0","4","-20","0","-16","22","0","-16","8","-24","2","12","-34","0","0","36","-4","-20","-16","-6","22","-20","4","-6","18","10","-12","10","-6","-16","-4","4","-4","-16","6","30","-12","-4","2","-12","-4","4","14","-4","-8","0","0","-16","-18","-16","-20","4","8","28","2","0","16","-36","-2","28","16","0","16","36","4","40","4","4","0","-4","2","-4","-4","-4","2","32","-12","-8","-2","-8","8","-8","2","20","-16","-8","-6","-4","-8","40","20","0","-4","-22","4","26","28","24","2","-12","2","16","-4","6","-10","16","4","32","-16","16","-16","-12","-4","32","-16","8","8","-66","2","-16","-16","-16","0","-2","0","-14","-4","-2","28","-66","-6","-24","4","18","4","24","-6","-28","10","-6","-18","-32","-6","44","24","4","4","-2","0","34","6","-12","32","20","-4","-36","4","0","-4","-12","-20","18","-4","-16","10","16","0","-36","16","8","-16","8","2","32","8","-34","16","-24","0","60","0","-4","-2","-4","-16","0","0","22","14","-58","4","16","-2","18","4","12","-12","4","2","-6","10","0","-4","12","4","-4","-12","10","6","-6","-8","-12","-8","32","2","-40","-4","-4","-8","-84","14","32","-8","-8","6","-18","0","-72","26","-18","4","-40","-20","-38","24","8","-6","-34","2","-48","22","16","6","-36","-2","-16","4","16","8","-50","16","16","28","4","-4","-40","4","6","8","0","28","-6","2","60","10","-4","-16","-16","2","-12","0","-12","16","-60","-2","-6","-4","8","-6","-6","2","-16","18","-16","-16","76","-6","-40","0","-8","-6","-8","20","84","-6","-4","16","-44","4","-72","0","28","0","50","2","-52","-12","2","4","4","-4","-2","30","-10","0","-60","4","-40","-20","-16","0","16","-16","-44","22","-4","0","-40","-16","-4","8","8","-24","-32","2","0","12","-16","-34","40","0","0","0","0","36","-28","-4","22","-20","28","-16","-4","-6","-10","22","4","-20","-8","4","2","-6","-6","18","30","10","12","-12","-18","10","-34","-6","16","-16","24","-4","44","4","-20","-4","0","-16","12","6","-84","30","32","-12","-48","-4","34","2","4","-12","56","-4","-28","4","-20","14","-14","-4","-4","-8","10","0","8","0","4","-16","16","-18","-18","-16","10","-20","2","4","-32","8","2","28","16","2","12","0","-24","16","0","-36","48","-2","-8","28","-16","16","0","0","0","16","14","36","-44","4","28","40","-2","4","6","4","-40","0","-12","-4","20","2","-44","-4","10","-4","14","-4","6","2","4","32","28","-12","-8","-8","6","-2","-8","-8","56","8","-8","-8","36","2","-64","20","-4","-16","90","-8","20","-6","14","-4","-4","-8","12","40","6","20","-6","0","-100","-4","26","-22","-4","4","20","26","-20","28","32","24","14","2","-6","-12","8","2","0","16","22","-4","-52","6","-20","-10","-2","16","-14","4","24","32","8","-16","48","16","-40","-16","28","-12","10","-4","8","32","4","-16","44","8","-84","8","28","-66","40","2","-64","-16","10","-16","-12","-16","76","0","2","-2","-32","0","-2","-14","16","-4","24","-2","90","28","-4","-66","64","-6","24","-24","2","4","-44","18","32","4","-16","24","42","-6","-20","-28","0","10","48","-6","40","-18","20","-32","8","-6","-32","44","16","24","-16","4","-42","4","0","-2","-4","0","18","34","2","6","52","-12","22","32","4","20","-20","-4","-36","-36","30","4","-2","0","28","-4","4","-12","70","-20","-12","18","0","-4","-4","-16","60","10","22","16","64","0","-24","-36","-16","16","-28","8","80","-16","-24","8","24","2","24","32","12","8","80","-34","38","16","0","-24","-30","0","16","60","36","0","4","-4","-8","-2","-20","-4","48","-16","-2","0","-6","0"],"lmfdb":"agrees","derived":{"al":[[2,-1],[3,-1],[103,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"618.2.a.k","letter":"k","dim":4,"charpoly":["7744256","182488","-4902","-66","1"],"traces":["4","4","-4","4","5","-4","4","4","4","5","-2","-4","7","4","-5","4","8","4","0","5","-4","-2","1","-4","17","7","-4","4","2","-5","11","4","2","8","-2","4","2","0","-7","5","12","-4","-5","-2","5","1","0","-4","8","17","-8","7","-2","-4","-4","4","0","2","-29","-5","9","11","4","4","-5","2","-5","8","-1","-2","-22","4","-4","2","-17","0","-34","-7","-10","5","4","12","-7","-4","0","-5","-2","-2","-34","5","14","1","-11","0","-46","-4","13","8","-2","17","11","-8","-4","7","2","-2","-27","-4","0","-4","-2","4","-15","0","-21","2","7","-29","-24","-5","6","9","-12","11","3","4","-5","4","5","-5","-9","2","-18","-5","-5","8","4","-1","-20","-2","0","-22","-36","4","28","-4","-8","2","-42","-17","-32","0","8","-34","5","-7","38","-10","2","5","8","4","6","12","4","-7","24","-4","25","0","0","-5","12","-2","42","-2","29","-34","-40","5","16","14","-9","1","8","-11","62","0","-4","-46","10","-4","24","13","5","8","19","-2","21","17","5","11","2","-8","8","-4","1","7","18","2","10","-2","22","-27","-13","-4","68","0","4","-4","-44","-2","-10","4","17","-15","32","0","33","-21","34","2","24","7","-10","-29","10","-24","-16","-5","12","6","-4","9","13","-12","46","11","7","3","6","4","-16","-5","0","4","23","5","-62","-5","2","-9","14","2","18","-18","34","-5","-8","-5","29","8","-14","4","-8","-1","-48","-20","11","-2","-75","0","-43","-22","46","-36","44","4","48","28","-13","-4","-11","-8","-67","2","2","-42","41","-17","-30","-32","-11","0","-57","8","1","-34","4","5","3","-7","-2","38","-2","-10","84","2","-52","5","27","8","18","4","-28","6","0","12","-32","4","7","-7","2","24","89","-4","25","25","15","0","-20","0","44","-5","21","12","-23","-2","-8","42","-7","-2","27","29","-96","-34","24","-40","33","5","34","16","-6","14","16","-9","46","1","12","8","16","-11","-10","62","-3","0","80","-4","-7","-46","5","10","18","-4","-100","24","-5","13","-60","5","-22","8","9","19","66","-2","50","21","18","17","-18","5","-57","11","5","2","80","-8","2","8","-4","-4","-22","1","29","7","20","18","-38","2","-31","10","0","-2","60","22","-2","-27","36","-13","43","-4","-20","68","-28","0","46","4","48","-4","8","-44","16","-2","-48","-10","42","4","-61","17","-38","-15","32","32","34","0","46","33","-8","-21","8","34","-39","2","-5","24","48","7","38","-10","-38","-29","2","10","-64","-24","-2","-16","68","-5","-36","12","-8","6","-13","-4","-80","9","-6","13","15","-12","-98","46","-4","11","24","7","-7","3","-24","6","61","4","65","-16","-25","-5","-40","0","-100","4","0","23","-5","5","66","-62","-12","-5","-11","2","-20","-9","-42","14","50","2","-61","18","-29","-18","28","34","-119","-5","40","-8","-102","-5","19","29","-16","8","-106","-14","-64","4","9","-8","0","-1","-24","-48","-8","-20","-35","11","49","-2","-62","-75","-52","0","-65","-43","4","-22","49","46","8","-36","-10","44","-28","4","66","48","-24","28","-46","-13","34","-4","-5","-11","97","-8","-82","-67","-19","2","6","2","-156","-42","-21","41","-36","-17","-18","-30","-5","-32","111","-11","-20","0","-2","-57","-58","8","-69","1","-8","-34","-43","4","-22","5","-1","3","30","-7","-30","-2","-18","38","102","-2","28","-10","-10","84","-41","2","79","-52","-22","5","-78","27","-4","8","13","18","87","4","16","-28","-68","6","29","0","-77","12","-4","-32","41","4","-6","7","44","-7","-128","2","26","24","10","89","-2","-4","-19","25","-17","25","-54","15","52","0","-32","-20","-12","0","22","44","-33","-5","-126","21","-30","12","-34","-23","-26","-2","-8","-8","-24","42","-8","-7","36","-2","10","27","22","29","50","-96","-10","-34","-31","24","-130","-40","16","33","0","5","-4","34","-12","16","-68","-6","27","14","4","16","-36","-9","-2","46","-13","1","-100","12","-32","8","-46","16","10","-11","-72","-10","-7","62","-38","-3","64","0","-6","80","34","-4","3","-7","16","-46","-73","5","28","10","0","18","-37","-4","66","-100","-23","24","-2","-5","180","13","62","-60","-18","5","-18","-22","-2","8","44","9","22","19","-14","66","24","-2","101","50","-18","21","-38","18","100","17","-34","-18","98","5","-14","-57","8","11","63","5","5","2","-29","80","-28","-8","64","2","14","8","-18","-4","-31","-4","8","-22","38","1","132","29","48","7","-116","20","158","18","-11","-38","40","2","38","-31","75","10","100","0","106","-2","43","60","-22","22","-103","-2","-46","-27","54","36","29","-13","-44","43","68","-4","138","-20","-48","68","-32","-28","15","0","13","46","14","4","78","48","11","-4","-69","8","6","-44","67","16","23","-2","98","-48","-2","-10","18","42","-84","4","-41","-61","-122","17","80","-38","30","-15","-142","32","12","32","11","34","72","0","34","46","57","33","158","-8","-36","-21","-1","8","-4","34","-16","-39","-4","2","-12","-5","-36","24","-3","48","224","7","36","38","2","-10","24","-38","10","-29","2","2","-38","10","-28","-64","-84","-24","-12","-2","92","-16","52","68","4","-5","139","-36","-27","12","-28","-8","33","6","-18","-13","82","-4","-166","-80","28","9","-102","-6","-64","13","0","15","147","-12","65","-98","32","46","31","-4","-38","11","-7","24","125","7","-12","-7","-2","3"],"lmfdb":"agrees","derived":{"al":[[2,-1],[3,1],[103,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.471,"computed":"atlas","estimate":{"seconds":0.574,"low":0.35,"high":0.992,"bytes":2215125},"url":"https://sagebrush.space/atlas/mf/618.2.a"}