{"label":"574.2.a","level":574,"weight":2,"dims":{"new":19,"cusp":81,"eisenstein":7,"modsym":169},"old":[[14,1,2],[41,3,4],[82,3,2],[287,21,2]],"T":[[3,1],[5,2],[11,3],[13,4],[17,5],[19,6],[23,7],[29,8]],"status":"proven","checks":["dim M^+ at levels [1, 2, 7, 14, 41, 82, 287, 574]: [0, 1, 1, 4, 4, 12, 30, 88] (certified at ell = 2147482921)","T = [(3, 1), (5, 2), (11, 3), (13, 4), (17, 5), (19, 6), (23, 7), (29, 8)]; h of degree 19 = 1 x 19 (phi(ord eps) x dim S_k^new); 6 primes, 0 rejected"],"newforms":[{"label":"574.2.a.a","letter":"a","dim":1,"charpoly":["20","1"],"traces":["1","-1","-2","1","4","2","1","-1","1","-4","4","-2","4","-1","-8","1","-2","-1","-6","4","-2","-4","-8","2","11","-4","4","1","6","8","4","-1","-8","2","4","1","2","6","-8","-4","-1","2","0","4","4","8","4","-2","1","-11","4","4","2","-4","16","-1","12","-6","14","-8","4","-4","1","1","16","8","-8","-2","16","-4","8","-1","-14","-2","-22","-6","4","8","-8","4","-11","1","6","-2","-8","0","-12","-4","10","-4","4","-8","-8","-4","-24","2","6","-1","4","11","0","-4","-12","-4","-8","-2","-4","4","6","-16","-4","1","-10","-12","-32","6","4","-14","-2","8","5","-4","2","4","24","-1","-8","-1","0","-16","6","-8","-6","8","16","2","-6","-16","-22","4","-8","-8","16","1","24","14","-2","2","-6","22","16","6","-2","-4","16","-8","4","8","-4","-4","-8","11","-24","-1","-32","-6","20","2","3","8","-6","0","24","12","11","4","-28","-10","-24","4","20","-4","-8","8","8","8","-8","4","4","24","0","-2","-18","-6","-32","1","-10","-4","20","-11","16","0","6","4","-4","12","-8","4","-24","8","8","2","-16","4","0","-4","4","-6","28","16","-8","4","24","-1","11","10","-6","12","-20","32","-8","-6","10","-4","16","14","16","2","0","-8","-26","-5","10","4","4","-2","-24","-4","-12","-24","-6","1","-32","8","16","1","2","0","2","16","6","-6","-16","8","8","6","-20","-8","0","-16","-16","-2","-8","6","44","16","-18","22","4","-4","10","8","14","8","48","-16","-1","-1","-13","-24","-12","-14","-16","2","56","-2","16","6","-32","-22","0","-16","0","-6","16","2","-26","4","24","-16","8","8","-34","-4","4","-8","-14","4","24","4","8","8","12","-11","44","24","-12","1","4","32","-12","6","2","-20","-32","-2","30","-3","20","-8","16","6","1","0","64","-24","-4","-12","-16","-11","16","-4","-22","28","32","10","4","24","24","-4","17","-20","-10","4","-56","8","8","-8","-1","-8","2","-8","-34","8","-48","-4","24","-4","-32","-24","16","0","20","2","16","18","0","6","18","32","16","-1","-12","10","-32","4","-28","-20","12","11","-34","-16","16","0","-44","-6","8","-4","-2","4","12","-12","14","8","24","-4","44","24","-6","-8","-6","-8","4","-2","-22","16","4","-4","-32","0","0","4","14","-4","-48","6","48","-28","8","-16","1","8","12","-4","40","-24","12","1","-30","-11","-4","-10","-32","6","16","-12","38","20","-8","-32","-16","8","-32","6","-32","-10","14","4","-8","-16","-8","-14","0","-16","-66","-2","2","0","-36","8","8","26","16","5","24","-10","32","-4","48","-4","-20","2","-12","24","16","4","8","12","32","24","-40","6","0","-1","0","32","-6","-8","20","-16","-14","-1","-24","-2","-48","0","16","-2","-48","-16","14","-6","-34","6","-22","16","-8","-8","41","-8","14","-6","-4","20","-16","8","48","0","4","16","-10","16","-40","2","24","8","36","-6","4","-44","-36","-16","-8","18","-16","-22","-6","-4","0","4","16","-10","-10","-8","-40","-14","-11","-8","-42","-48","12","16","0","1","-88","1","-38","13","36","24","6","12","8","14","16","16","38","-2","-24","-56","20","2","-6","-16","-8","-6","-40","32","24","22","34","0","-8","16","20","0","16","6","-12","-16","16","-2","10","26","8","-4","22","-24","30","16","-32","-8","10","-8","41","34","48","4","-4","-4","-8","8","-16","14","-32","-4","4","-24","8","-4","-18","-8","22","-8","0","-12","28","11","56","-44","-8","-24","30","12","24","-1","-14","-4","-12","-32","-4","12","16","-6","-24","-2","-48","20","-48","32","16","2","-14","-30","44","3","0","-20","6","8","12","-16","-8","-6","-24","-1","40","0","8","-64","34","24","4","4","-88","12","2","16","-20","11","2","-16","-12","4","-32","22","0","-28","46","-32","-8","-10","-32","-4","64","-24","0","-24","-4","4","-12","-17","52","20","66","10","28","-4","13","56","0","-8","20","-8","-8","8","-32","1","-8","8","48","-2","-8","8","-24","34","6","-8","-4","48","16","4","12","-24","64","4","-18","32","64","24","-10","-16","6","0","-8","-20","56","-2","-26","-16","-4","-18","-48","0","44","-6","-4","-18","6","-32","32","-16","24","1","16","12","-18","-10","32","32","-10","-4","16","28","-16","20","-16","-12","-8","-11","10","34","-56","16","-32","-16","0","0","22","44","-42","6","32","-8","-96","4","0","2","4","-4","-18","-12","-16","12","-88","-14","16","-8","12","-24","36","4","-2","-44","80","-24","16","6","-36","8","7","6","-20","8","12","-4","5","2","-28","22","-16","-16","16","-4","-24","4","-18","32","-6","0","2","0","56","-4","96","-14","26","4","-32","48","-32","-6","6","-48","24","28","-14","-8","32","16","18","-1","8","-8","-112","-12","-20","4","-8","-40","-44","24","-24","-12","-96","-1","64","30","24","11","-4","4","0","10","80","32","-12","-6","0","-16","40","12","24","-38","-32","-20","6","8","-32","32","52","16","32","-8","22","32","-12","-6","38","32","-6","10","-16","-14","-32","-4","2","8","68","16","-28","8","8","14","16","0","24","16","-56","66","28","2","-22","-2","0","0","-48","36","-6","-8","-15","-8","-4","-26","-72","-16","-16","-5","-24","-24","18","10","-22","-32","-88","4","18","-48","40","4","6","20","36","-2","-40","12","-8","-24","0","-16","-40","-4","24","-8","80","-12","-8","-32","8","-24"],"lmfdb":"agrees","curve":{"cremona":"574d1","lmfdb":"574.a","ainvs":[1,0,1,-31679,5254674],"rank":0,"torsion":2}},{"label":"574.2.a.b","letter":"b","dim":1,"charpoly":["70","1"],"traces":["1","-1","-1","1","1","1","-1","-1","-2","-1","0","-1","2","1","-1","1","-5","2","-4","1","1","0","6","1","-4","-2","5","-1","-9","1","3","-1","0","5","-1","-2","-8","4","-2","-1","-1","-1","7","0","-2","-6","-10","-1","1","4","5","2","-13","-5","0","1","4","9","-14","-1","-5","-3","2","1","2","0","4","-5","-6","1","-15","2","-6","8","4","-4","0","2","-3","1","1","1","16","1","-5","-7","9","0","13","2","-2","6","-3","10","-4","1","17","-1","0","-4","18","-5","7","-2","1","13","3","5","-2","0","8","-1","1","-4","6","-9","-4","14","5","1","-11","5","1","3","-9","-2","18","-1","-7","-2","-18","0","4","-4","5","5","-18","6","14","-1","10","15","0","-2","-9","6","-1","-8","7","-4","-5","4","10","0","3","-2","0","3","13","-1","-6","-1","12","-1","0","-16","12","-1","-9","5","8","7","9","-9","4","0","14","-13","-24","-2","0","2","5","-6","-8","3","0","-10","-5","4","-15","-1","16","-17","-2","1","0","0","4","4","-4","-18","9","5","-1","-7","-12","2","0","-1","20","-13","15","-3","7","-5","-3","2","6","0","-10","-8","3","1","8","-1","7","4","8","-6","0","9","-12","4","-10","-14","3","-5","0","-1","-20","11","-16","-5","1","-1","-8","-3","-16","9","-8","2","0","-18","5","1","3","7","8","2","18","18","-24","0","-13","-4","-13","4","10","-5","16","-5","2","18","0","-6","20","-14","-6","1","-22","-10","-12","-15","4","0","1","2","8","9","-17","-6","24","1","-14","8","0","-7","12","4","-7","5","-18","-4","-5","-10","-16","0","-7","-3","18","2","-6","0","2","-3","-22","-13","0","1","-3","6","20","1","-8","-12","2","1","10","0","26","16","16","-12","4","1","-35","9","-1","-5","0","-8","-1","-7","-6","-9","24","9","2","-4","10","0","-2","-14","-15","13","-5","24","0","2","-3","0","11","-2","-6","-5","-19","6","2","8","13","-3","-16","0","9","10","-18","5","-15","-4","-18","15","-8","1","0","-16","-14","17","20","2","-30","-1","18","0","-3","0","-2","-4","-4","-4","-5","4","6","18","1","-9","0","-5","32","1","18","7","14","12","16","-2","-14","0","-14","1","-7","-20","20","13","20","-15","5","3","0","-7","8","5","6","3","9","-2","-24","-6","-28","0","-2","10","39","8","13","-3","-7","-1","-33","-8","0","1","5","-7","-2","-4","-18","-8","-25","6","21","0","-24","-9","-3","12","32","-4","-4","10","0","14","0","-3","16","5","26","0","-26","1","-16","20","6","-11","17","16","26","5","-12","-1","5","1","45","8","0","3","15","16","-2","-9","-12","8","-10","-2","18","0","9","18","-42","-5","6","-1","-20","-3","7","-7","0","-8","-9","-2","14","-18","6","-18","-4","24","-15","0","13","13","28","4","-2","13","3","-4","24","-10","0","5","12","-16","0","5","-2","-2","-36","-18","10","0","36","6","3","-20","8","14","13","6","14","-1","0","22","20","10","1","12","-1","15","27","-4","-26","0","15","-1","-24","-2","-42","-8","-16","-9","-16","17","0","6","-4","-24","-15","-1","-12","14","0","-8","15","0","5","7","-4","-12","6","-4","-37","7","-8","-5","-11","18","3","4","-9","5","-20","10","28","16","1","0","-26","7","-4","3","30","-18","-13","-2","11","6","0","0","40","-2","14","3","-20","22","18","13","2","0","30","-1","38","3","19","-6","-7","-20","39","-1","0","8","3","12","-9","-2","-18","-1","12","-10","-18","0","-50","-26","10","-16","4","-16","-54","12","-3","-4","0","-1","-32","35","-20","-9","-6","1","-17","5","-7","0","-12","8","-18","1","-8","7","-26","6","-13","9","0","-24","14","-9","5","-2","12","4","-42","-10","32","0","10","2","-18","14","-1","15","6","-13","18","5","0","-24","0","0","-30","-2","-7","3","20","0","36","-11","-32","2","13","6","-35","5","19","19","-1","-6","0","-2","19","-8","8","-13","2","3","7","16","-32","0","-3","-9","-32","-10","8","18","-5","-5","15","15","0","4","-14","18","2","-15","10","8","-28","-1","-42","0","-3","16","-2","14","-12","-17","-8","-20","4","-2","0","30","-45","1","0","-18","-40","0","24","3","-1","0","-10","2","13","4","-17","4","50","4","-26","5","0","-4","-6","-6","-10","-18","32","-1","-6","9","-16","0","12","5","-28","-32","4","-1","52","-18","5","-7","0","-14","6","-12","37","-16","-20","2","-5","14","12","0","15","14","20","-1","52","7","22","20","-9","-20","11","-13","12","-20","-48","15","-7","-5","8","-3","-30","0","22","7","-1","-8","-34","-5","9","-6","-8","-3","0","-9","8","2","-34","24","9","6","12","28","-24","0","40","2","0","-10","14","-39","-10","-8","-18","-13","0","3","40","7","-24","1","-12","33","-27","8","65","0","7","-1","0","-5","35","7","-36","2","36","4","0","18","5","8","18","25","-9","-6","16","-21","-30","0","32","24","-14","9","34","3","-4","-12","-18","-32","0","4","9","4","6","-10","10","0","-6","-14","-5","0","-36","3","-12","-16","22","-5","-26","-26","-15","0","0","26","18","-1","-22","16","-6","-20","16","-6","-27","11","-20","-17","-21","-16","-14","-26","8","-5","-6","12","0","1","4","-5","-21","-1","0","-45","-10","-8","42","0","8","-3","-26","-15","4","-16","-14","2","-40","9"],"lmfdb":"agrees","curve":{"cremona":"574a1","lmfdb":"574.b","ainvs":[1,1,0,-2,-2],"rank":1,"torsion":1}},{"label":"574.2.a.c","letter":"c","dim":1,"charpoly":["102","1"],"traces":["1","-1","1","1","-3","-1","1","-1","-2","3","0","1","2","-1","-3","1","-3","2","-4","-3","1","0","-6","-1","4","-2","-5","1","-3","3","-1","-1","0","3","-3","-2","-4","4","2","3","1","-1","-1","0","6","6","-6","1","1","-4","-3","2","9","5","0","-1","-4","3","-6","-3","-1","1","-2","1","-6","0","8","-3","-6","3","3","2","-10","4","4","-4","0","-2","-1","-3","1","-1","-12","1","9","1","-3","0","3","-6","2","-6","-1","6","12","-1","-1","-1","0","4","-6","3","11","-2","-3","-9","3","-5","2","0","-4","1","9","4","18","-3","-4","6","-3","3","-11","1","1","-1","3","2","14","-1","-1","6","18","0","-4","-8","15","3","-6","6","-10","-3","-6","-3","0","-2","9","10","1","-4","-3","-4","17","4","6","0","3","2","-4","1","9","3","-6","-1","20","1","0","12","0","-1","-9","-9","8","-1","21","3","4","0","-6","-3","0","6","8","-2","-1","6","12","1","0","-6","-5","-12","3","1","-16","1","-6","1","24","0","-16","-4","8","6","-3","-3","-3","-11","12","2","0","3","-4","9","3","-3","3","5","-1","-2","-10","0","-6","4","-1","-1","-8","-9","-15","-4","-16","-18","0","3","-24","4","18","-6","-1","3","-24","-3","-28","11","16","-1","-3","-1","-8","1","-12","-3","-12","-2","0","-14","9","1","-27","1","-4","-6","6","-18","24","0","-27","4","3","8","-6","-15","-16","-3","2","6","0","-6","8","10","2","3","-18","6","8","3","12","0","1","2","-8","-9","-1","-10","-24","-1","18","4","0","3","-12","4","-1","-17","-6","-4","3","-6","8","0","11","-3","6","-2","14","4","6","-1","30","-9","0","-3","3","6","12","1","8","-20","2","-1","-6","0","2","-12","8","0","-24","1","-19","9","9","9","0","-8","1","1","18","-21","0","-3","26","-4","-10","0","6","6","-9","3","-3","0","36","-6","-3","-8","-11","2","30","1","-7","-6","-2","-12","9","-1","32","0","3","6","-6","5","-7","12","14","-3","-24","-1","0","16","2","-1","-36","6","18","-1","18","-24","3","0","-22","16","-4","4","3","-8","-2","-6","-3","3","0","3","-28","3","-6","11","-6","-12","36","-2","-10","0","-30","-3","11","4","12","-9","-12","-3","-1","3","0","-3","12","-5","14","1","9","2","24","10","-28","0","-2","6","15","-4","-9","1","-3","1","15","8","0","9","17","15","-6","4","-34","16","15","18","-15","0","-16","-3","3","24","-24","-4","8","-18","-4","6","0","1","-16","-3","-18","24","6","3","-8","28","-6","-11","3","-16","2","1","20","3","-3","1","9","8","0","-1","3","12","-34","3","0","12","30","2","18","0","-9","14","-6","-9","-10","-1","20","27","-33","-1","0","4","21","6","18","-6","38","18","4","-24","3","0","13","27","12","-4","2","-3","-9","-8","0","6","0","15","-28","16","8","3","-6","-2","44","-6","2","0","12","6","-1","-8","12","-10","-9","-2","-2","-3","0","18","12","-6","-27","-8","1","-3","-21","-12","-10","0","3","-1","-24","-2","2","8","-16","9","-12","1","0","10","12","24","-33","1","4","-18","24","-4","-39","0","9","-3","-16","12","30","-4","29","1","-16","17","33","6","-25","4","-3","-3","-12","6","-16","-8","-3","0","-18","-11","-4","3","30","-6","3","2","-29","-14","0","-4","12","-6","-34","1","-4","-30","-42","9","2","0","-6","3","18","-3","29","-6","3","-12","-45","-1","0","-8","-1","20","21","-2","-54","1","20","6","42","0","-10","-2","-6","12","12","-8","18","0","-1","24","0","-1","8","19","-20","-9","-6","-9","-1","-9","-15","0","24","8","18","-1","-16","-1","18","-18","5","21","0","0","30","3","-3","-26","-24","4","42","10","16","0","18","-6","-6","-6","-19","9","2","-3","6","3","0","0","-24","-36","-6","6","11","3","-28","8","-12","11","44","-2","13","-30","3","-1","-25","7","-3","6","0","2","-37","12","-8","-9","42","1","9","-32","24","0","3","-3","-40","-6","-12","6","-51","-5","-43","7","0","-12","6","-14","2","3","-18","24","-12","1","2","0","-27","-16","18","-2","-4","1","-4","36","-4","-6","0","-18","15","1","12","-18","-4","24","24","-3","9","0","-2","22","-27","-16","51","4","18","-4","-6","-3","0","8","18","2","-6","6","0","3","2","-3","-16","0","-60","-3","4","28","-4","-3","-24","6","23","-11","0","6","30","12","41","-36","8","2","-3","10","0","0","5","30","-12","3","-20","-11","-18","-4","27","-12","-11","9","8","12","24","3","-19","1","-24","-3","42","0","14","3","1","-12","-30","5","-63","-14","-8","-1","0","-9","16","-2","2","-24","3","-10","32","28","-24","0","-12","2","8","-6","18","-15","30","4","14","9","0","-1","24","3","0","-1","-12","-15","3","-8","-27","0","-1","-9","-24","-17","-13","-15","12","6","0","-4","0","34","3","-16","18","-15","5","-18","8","15","6","0","-16","16","-22","3","6","-3","-4","-24","6","24","0","4","47","-8","14","18","-6","4","-6","-6","15","0","36","-1","-20","16","30","3","6","18","-9","-24","0","-6","-6","-3","-30","8","-6","-28","48","6","-49","11","12","-3","45","16","-10","-2","8","-1","-42","-20","0","-3","-4","3","-33","-1","-72","-9","-6","-8","6","0","-40","1","2","-3","48","-12","-58","34","20","-3"],"lmfdb":"agrees","curve":{"cremona":"574f1","lmfdb":"574.c","ainvs":[1,0,1,-80,190],"rank":1,"torsion":3}},{"label":"574.2.a.d","letter":"d","dim":1,"charpoly":["34","1"],"traces":["1","-1","2","1","-2","-2","-1","-1","1","2","-6","2","-4","1","-4","1","-2","-1","2","-2","-2","6","0","-2","-1","4","-4","-1","0","4","0","-1","-12","2","2","1","10","-2","-8","2","-1","2","4","-6","-2","0","8","2","1","1","-4","-4","-4","4","12","1","4","0","-8","-4","10","0","-1","1","8","12","-14","-2","0","-2","-12","-1","-6","-10","-2","2","6","8","0","-2","-11","1","4","-2","4","-4","0","6","-14","2","4","0","0","-8","-4","-2","-10","-1","-6","-1","12","4","-8","4","4","4","12","-4","4","-12","20","-1","-14","-4","0","0","-4","8","2","4","25","-10","-2","0","12","1","0","-1","8","-8","0","-12","-2","14","8","2","6","0","8","2","16","12","24","1","0","6","2","10","-20","2","4","-2","-2","-6","0","-8","12","0","-8","2","0","11","12","-1","24","-4","-12","2","3","-4","2","4","18","0","1","-6","-16","14","6","-2","-24","-4","20","0","-20","0","12","8","4","4","-12","2","-26","10","16","1","-6","6","16","1","-28","-12","0","-4","2","8","0","-4","-12","-4","2","-4","-24","-12","-8","4","0","-4","-12","12","8","-20","24","1","-1","14","10","4","-16","0","12","0","-6","4","-16","-8","0","-2","-12","-4","-2","-25","-10","10","-2","2","-8","0","8","-12","16","-1","0","0","8","1","-6","-8","-10","8","0","0","24","12","8","2","-28","-14","-26","-8","-8","-2","8","-6","6","0","-22","-8","0","-2","2","-16","0","-12","-8","-24","1","-1","-13","0","-20","-6","0","-2","16","-10","24","20","0","-2","-4","-4","24","2","-20","2","8","6","-16","0","12","8","30","-12","2","0","-28","8","0","-2","24","0","-4","-11","4","-12","8","1","-8","-24","-34","4","10","12","28","-2","-26","-3","-28","4","0","-2","-1","-4","0","-18","-6","0","-10","-1","16","6","-2","16","24","-14","4","-6","-24","2","-15","24","50","4","12","-20","8","0","-1","20","4","0","14","-12","24","-8","0","-4","0","-4","0","12","28","-2","-12","26","4","-10","2","-16","0","-1","0","6","0","-6","16","-16","-4","-1","34","28","0","12","22","0","-60","4","-10","-2","12","-8","8","0","-8","4","16","12","-20","4","-16","-2","8","4","2","24","-10","12","48","8","-40","-4","-18","0","0","4","0","12","20","-12","1","-8","-24","20","28","-24","-40","-1","-6","1","6","-14","8","-10","-8","-4","-18","16","8","0","18","-12","0","0","0","6","8","-4","14","16","24","8","-24","0","-2","2","-4","12","-32","4","-40","2","0","25","20","10","32","-10","24","2","32","-2","0","8","12","0","12","-8","-26","12","-24","-16","32","1","-24","0","6","0","24","-8","6","-1","-8","6","16","8","-48","10","36","-8","38","0","-12","0","2","-24","0","-12","-23","-8","-8","-2","4","28","-24","14","12","26","-6","8","-18","8","-48","2","-8","-8","30","6","10","-6","0","0","0","22","-40","8","40","0","-16","2","24","-2","-10","16","28","0","11","12","-6","8","22","24","-24","-1","0","1","-30","13","-52","0","-4","20","24","6","8","0","42","2","0","-16","-12","10","42","-24","-4","-20","32","0","-24","2","-46","4","-14","4","-50","-24","0","-2","0","20","-32","-2","-2","-8","4","-6","-38","16","-16","0","0","-12","14","-8","-19","-30","-24","12","-20","-2","32","0","4","28","0","-8","-4","0","-12","2","-34","-24","-2","0","-16","4","-24","11","48","-4","0","12","24","-8","0","-1","-6","8","30","24","-2","34","16","-4","4","-10","0","-12","48","-28","-60","2","-2","26","4","3","30","28","10","-4","20","0","-18","2","-12","1","-32","4","16","0","-34","18","6","6","-16","0","2","10","-12","1","-6","-16","20","-6","-32","2","-12","-16","-16","-24","0","14","0","-4","-48","6","-24","24","-12","-2","8","15","-4","-24","0","-50","4","-4","13","-12","-8","20","34","-8","-4","0","84","1","52","-20","-16","-4","8","0","40","-14","4","12","-12","-24","52","8","32","0","-8","4","24","0","0","4","34","0","-4","-12","4","-28","32","2","-30","12","-12","-26","-32","-4","0","10","-20","-2","-2","16","72","0","0","1","-24","0","32","-6","48","0","14","6","-40","-16","16","16","-2","4","-16","1","-14","-34","36","-28","0","0","-52","-12","-10","-22","0","0","-16","60","-24","-4","8","10","4","2","10","-12","-4","8","12","-8","30","0","-50","8","-44","-4","-2","-16","24","-12","0","20","-16","-4","-29","16","4","2","-6","-8","-25","-4","0","-2","0","-24","-22","10","-4","-12","6","-48","-32","-8","2","40","8","4","-36","18","-26","0","0","0","56","-4","-10","0","-12","-12","-42","-20","0","12","46","-1","-18","8","32","24","8","-20","0","-28","66","24","16","40","-12","1","0","6","0","-1","8","-6","-8","14","48","-8","-40","10","12","8","-24","4","-24","18","-40","-16","0","-8","-36","0","16","-18","48","12","-10","0","-8","0","-2","0","2","-6","24","-8","-24","4","18","-14","60","-16","-38","-24","0","-8","-8","24","48","0","24","2","-56","-2","22","4","24","-12","0","32","-6","-4","-31","40","12","-2","52","0","-48","-25","-8","-20","-30","-10","-8","-32","8","10","-18","-24","84","-2","4","-32","24","2","12","0","-16","-8","0","-12","-52","0","-68","-12","-32","8","4","26","-40","-12"],"lmfdb":"agrees","curve":{"cremona":"574b1","lmfdb":"574.d","ainvs":[1,1,0,-2061,35165],"rank":1,"torsion":2}},{"label":"574.2.a.e","letter":"e","dim":1,"charpoly":["-34","1"],"traces":["1","-1","2","1","2","-2","1","-1","1","-2","-2","2","4","-1","4","1","6","-1","-6","2","2","2","8","-2","-1","-4","-4","1","-4","-4","-8","-1","-4","-6","2","1","10","6","8","-2","-1","-2","-4","-2","2","-8","8","2","1","1","12","4","-8","4","-4","-1","-12","4","-4","4","-10","8","1","1","8","4","-2","6","16","-2","12","-1","10","-10","-2","-6","-2","-8","0","2","-11","1","0","2","12","4","-8","2","18","-2","4","8","-16","-8","-12","-2","-10","-1","-2","-1","-20","-12","-16","-4","4","8","-4","-4","8","4","20","1","18","12","16","-4","4","4","6","-4","-7","10","-2","-8","-12","-1","-8","-1","-8","-8","-12","-4","-6","2","-8","-6","-18","-16","4","2","16","-12","-8","1","-8","-10","2","10","8","2","-20","6","6","2","-16","8","-12","0","-16","-2","8","11","4","-1","-8","0","4","-2","3","-12","-6","-4","6","8","-1","-2","-8","-18","10","2","8","-4","-20","-8","20","16","-12","8","-4","12","-20","2","-10","10","16","1","2","2","0","1","-4","20","-4","12","-2","16","8","4","12","-4","-18","-8","24","4","-8","4","-8","-8","20","-4","24","-20","8","-1","-1","-18","18","-12","0","-16","-4","4","10","-4","16","-4","0","-6","-4","4","-2","7","-10","-10","2","2","-24","8","0","12","12","1","-16","8","24","1","26","8","10","8","-4","12","-8","4","-16","6","36","-2","2","8","8","6","8","18","2","16","2","-4","-8","-2","-14","-16","-28","12","-24","8","-1","-1","19","8","-20","10","24","-2","-8","-10","8","-8","32","-2","-4","20","-40","-6","-20","-6","12","-2","-32","16","-4","-8","22","12","2","0","32","16","8","2","-8","-8","-36","-11","-4","-4","16","1","8","8","-6","0","10","-4","-4","2","22","-3","36","12","16","6","1","4","32","-6","-18","-8","-14","1","-16","2","6","8","24","18","12","-10","-8","-2","17","-8","-14","4","20","20","24","8","-1","-20","-8","-16","-2","12","-24","-8","-16","4","16","-12","-16","20","-36","-2","-4","10","-4","-10","-30","-16","48","-1","-24","-2","0","-2","32","0","-12","-1","2","4","-32","-20","-22","4","-20","-12","-10","2","-36","-16","-4","-8","0","-4","8","-12","0","4","36","18","8","8","-6","-24","-10","-4","-16","8","16","-4","14","8","-16","8","-48","-20","-28","4","1","-24","0","20","36","-8","16","1","10","1","2","18","-40","-18","8","12","14","0","-24","16","-10","4","-16","-4","-32","-10","12","4","-2","-16","-24","4","8","0","6","6","-8","4","16","-4","40","2","16","-7","-20","10","16","10","8","-2","-8","-2","-24","24","-4","-8","12","0","-6","-12","8","-12","16","-1","-40","16","6","-8","8","-24","10","-1","24","-26","-32","-8","-16","-10","12","-8","30","4","0","-12","-2","8","-48","-4","41","16","-4","-6","-4","-36","-8","2","20","-2","-2","-8","-34","-8","16","-6","16","-8","26","-18","-10","-2","24","-16","0","-2","40","4","-36","8","-16","2","-24","14","14","16","36","28","-11","-12","-6","24","18","-8","-40","1","-8","1","42","-19","-20","-8","0","20","16","-10","8","-24","-6","2","48","8","4","10","26","-8","12","8","0","-32","24","2","-22","4","-2","-20","-14","40","32","6","-8","20","32","6","6","-12","-4","2","-6","32","4","-16","-32","4","18","8","-19","-22","24","-12","60","-2","24","0","-36","-32","-16","-16","4","-8","12","-2","-18","8","6","8","-16","36","-16","11","8","4","-16","4","-12","-16","-24","-1","10","-8","26","-8","18","6","48","0","-12","-10","-32","4","16","4","20","-2","22","-22","4","3","42","-36","-10","-12","36","-16","34","-6","-36","-1","0","-4","-32","-32","-18","6","-2","18","8","8","-6","14","20","-1","-22","16","-60","-2","32","-6","-20","-8","44","-24","0","-18","-64","-12","-16","10","-8","8","52","2","-16","-17","-4","8","4","14","-28","-4","13","-20","-24","-20","30","-24","4","-8","4","1","-36","20","-48","8","-24","16","16","2","0","-12","-4","24","44","8","24","16","-40","-4","-44","-16","-32","12","-22","16","8","-20","12","36","-16","2","26","4","52","-10","-40","4","8","10","20","30","6","16","-24","-48","16","1","-24","24","52","2","-16","0","18","2","-40","-32","-32","0","-22","12","48","1","18","-2","-20","-4","16","32","4","20","-10","22","-12","-4","16","20","8","12","24","10","4","-2","-14","36","4","16","4","4","-30","8","-30","0","4","4","6","-8","8","12","32","0","-16","-4","-13","-36","-28","-18","6","-8","-7","-8","-56","6","80","24","-2","10","-12","4","-10","16","44","-8","-2","-16","24","4","12","-14","38","-8","0","16","-8","-8","-10","48","-12","20","-34","28","48","-4","-26","-1","34","24","-16","0","8","-20","-8","-36","22","8","-48","-16","20","-1","64","-10","32","-1","-48","-2","-8","-18","16","40","32","18","-20","-8","-16","-12","0","-14","-40","0","-12","24","20","-16","24","10","48","-4","-10","16","-16","4","14","32","-6","10","-8","-12","-24","-4","-30","2","44","16","6","24","-8","-4","-8","-8","48","0","40","-6","64","-6","6","8","-40","-4","16","-16","-18","4","33","-40","-4","-2","-20","-16","-32","7","-72","20","-38","-10","4","-16","-8","-10","38","-8","-36","2","8","8","16","2","4","24","16","-24","-32","4","-28","8","-12","-12","0","0","-44","6","-40","12"],"lmfdb":"agrees","curve":{"cremona":"574c1","lmfdb":"574.e","ainvs":[1,1,0,-84,80],"rank":0,"torsion":2}},{"label":"574.2.a.f","letter":"f","dim":1,"charpoly":["-50","1"],"traces":["1","-1","3","1","-1","-3","1","-1","6","1","4","3","-6","-1","-3","1","3","-6","4","-1","3","-4","2","-3","-4","6","9","1","1","3","9","-1","12","-3","-1","6","-8","-4","-18","1","-1","-3","-5","4","-6","-2","-6","3","1","4","9","-6","-3","-9","-4","-1","12","-1","14","-3","-11","-9","6","1","6","-12","-8","3","6","1","3","-6","-14","8","-12","4","4","18","7","-1","9","1","16","3","-3","5","3","-4","5","6","-6","2","27","6","-4","-3","1","-1","24","-4","-10","-9","13","6","-3","3","-9","9","-14","4","-24","1","-15","-12","-2","1","-36","-14","3","3","5","11","-3","9","9","-6","2","-1","-15","-6","-14","12","4","8","-9","-3","-6","-6","-22","-1","-18","-3","-24","6","-1","14","3","-8","9","12","1","-4","18","-4","-9","-18","4","-7","-9","1","2","-9","-4","-1","-12","-16","0","-3","23","3","24","-5","-1","-3","-4","4","42","-5","-4","-6","-20","6","-33","-2","8","-27","12","-6","9","4","-5","3","12","-1","18","1","0","-24","0","4","-24","10","1","9","1","-13","12","-6","16","3","-12","-3","9","9","5","-9","9","14","-42","-4","-18","24","9","-1","-24","15","19","12","20","2","12","-1","-20","36","6","14","21","-3","0","-3","-16","-5","0","-11","-1","3","-24","-9","48","-9","24","6","8","-2","-9","1","27","15","-8","6","6","14","-16","-12","3","-4","15","-8","-10","9","-16","3","-18","6","-16","6","32","22","54","1","-10","18","24","3","-12","24","-1","-6","-8","1","3","-14","-16","-3","-14","8","36","-9","-12","-12","-5","-1","-30","4","11","-18","-16","4","39","9","18","18","26","-4","-6","7","6","9","4","-1","-27","-2","12","9","24","4","-42","1","-6","12","-2","16","-48","0","8","3","5","-23","-45","-3","36","-24","1","5","-6","1","-24","3","14","4","-54","-4","18","-42","-3","5","9","4","24","6","-3","20","15","-6","14","33","-17","2","-6","-8","-3","27","36","-12","27","6","-6","-9","13","-4","6","5","20","-3","-4","-12","-30","1","28","-18","6","-1","-42","0","-7","24","2","0","12","-4","11","24","-54","-10","-9","-1","-32","-9","8","-1","-18","13","14","-12","-16","6","-66","-16","34","-3","-1","12","-36","3","-12","-9","-11","-9","-72","-5","20","9","-6","-9","-3","-14","8","42","28","4","6","18","-13","-24","-5","-9","27","1","15","24","-4","-15","3","-19","6","-12","18","-20","27","-2","-21","-12","-32","1","-27","20","24","-36","-8","-6","12","-14","-20","-21","-16","3","-18","0","14","3","48","16","6","5","-1","0","-18","11","-12","1","25","-3","3","24","-24","9","3","-48","22","9","0","-24","-30","-6","10","-8","69","2","30","9","-14","-1","36","-27","-13","-15","-24","8","-3","-6","-26","-6","26","-14","-12","16","27","12","-19","-3","84","4","6","-15","9","8","-12","10","4","-9","-20","16","-60","-3","14","18","-4","-6","-66","16","4","-6","7","-32","24","-22","-21","-54","30","-1","36","10","-20","-18","15","-24","9","-3","-37","12","22","-24","-15","1","-8","6","22","8","36","-1","16","-3","-12","14","36","16","-27","3","36","14","0","-8","-1","-36","-3","9","0","12","34","12","-21","5","-48","1","-5","30","41","-4","3","-11","36","18","20","16","3","-4","-18","-39","0","-9","18","-18","5","-18","11","-26","48","4","-24","6","42","-7","-36","-6","-2","-9","-6","-4","18","1","-18","27","47","2","15","-12","-27","-9","56","-24","27","-4","-15","42","14","-1","-84","6","-22","-12","-14","2","-54","-16","-4","48","2","0","27","-8","-44","-3","36","-5","-36","23","30","45","1","3","57","-36","-8","24","6","-1","60","-5","18","6","-41","-1","24","24","22","-3","-3","-14","-60","-4","-38","54","-32","4","18","-18","-10","42","-39","3","42","-5","18","-9","24","-4","0","-24","-14","-6","13","3","-48","-20","-4","-15","8","6","-27","-14","-15","-33","-35","17","-3","-2","-32","6","7","8","-72","3","42","-27","-9","-36","96","12","-9","-27","-24","-6","72","6","-1","9","-23","-13","24","4","30","-6","-14","-5","-18","-20","-84","3","-26","4","81","12","-38","30","-36","-1","-24","-28","-4","18","12","-6","9","1","-4","42","-28","0","-48","7","-15","-24","66","-2","9","0","9","-12","-18","4","30","-11","-56","-24","-2","54","-30","10","12","9","18","1","-48","32","4","9","-20","-8","-36","1","-28","18","39","-13","-48","-14","6","12","-13","16","96","-6","3","66","0","16","81","-34","44","3","-28","1","-30","-12","-23","36","5","-3","72","12","-16","9","-9","11","-24","9","22","72","-26","5","-3","-20","46","-9","1","6","-24","9","28","3","48","14","6","-8","9","-42","16","-28","-48","-4","48","-6","-32","-18","-42","13","50","24","2","5","36","9","-24","-27","4","-1","-36","-15","9","-24","-9","4","-15","15","20","-3","-17","19","-60","-6","-40","12","64","-18","33","20","-14","-27","-27","2","-48","21","-18","12","32","32","78","-1","58","27","4","-20","54","-24","-12","36","-23","8","78","6","-18","-12","-2","14","-9","20","44","21","84","16","18","-3","-42","18","5","0","12","-14","-6","-3","50","-48","-54","-16","-12","-6","-41","-5","36","1","-17","0","-22","18","72","-11","-42","12","20","-1","-84","-25","-39","3","0","-3","-18","-24","-10","24","40","-9","-6","-3","0","48","-38","-22","-72","-9"],"lmfdb":"agrees","curve":{"cremona":"574e1","lmfdb":"574.f","ainvs":[1,-1,0,-40,-88],"rank":0,"torsion":1}},{"label":"574.2.a.g","letter":"g","dim":1,"charpoly":["142","1"],"traces":["1","1","-3","1","-1","-3","1","1","6","-1","-2","-3","0","1","3","1","-3","6","-8","-1","-3","-2","-4","-3","-4","0","-9","1","-5","3","-3","1","6","-3","-1","6","10","-8","0","-1","-1","-3","-5","-2","-6","-4","6","-3","1","-4","9","0","-9","-9","2","1","24","-5","-10","3","13","-3","6","1","0","6","-2","-3","12","-1","9","6","4","10","12","-8","-2","0","-11","-1","9","-1","-14","-3","3","-5","15","-2","-1","-6","0","-4","9","6","8","-3","7","1","-12","-4","-10","9","13","0","3","-9","3","-9","-2","2","-30","1","9","24","4","-5","0","-10","-3","3","-7","13","3","-3","9","6","2","1","15","0","-8","6","-8","-2","9","-3","12","12","14","-1","-18","9","0","6","5","4","-3","10","3","12","19","-8","-18","-2","3","0","4","-11","27","-1","-4","9","-4","-1","-6","-14","0","-3","-13","3","-48","-5","-1","15","-4","-2","30","-1","-16","-6","-14","0","-39","-4","-10","9","6","6","-9","8","-11","-3","12","7","0","1","-12","-12","-24","-4","6","-10","-5","9","1","13","-24","0","16","3","-12","-9","-27","3","5","-9","-3","-2","-12","2","0","-30","21","1","-24","9","25","24","20","4","6","-5","10","0","-6","-10","33","-3","-12","3","-10","-7","0","13","-1","3","0","-3","42","9","0","6","8","2","-9","1","-15","15","10","0","-30","-8","-16","6","9","-8","3","-2","-10","9","20","-3","0","12","8","12","26","14","-18","-1","2","-18","18","9","-24","0","-1","6","-8","5","-21","4","14","-3","10","10","18","3","0","12","-5","19","30","-8","-13","-18","-28","-2","-39","3","18","0","-22","4","-6","-11","-18","27","10","-1","-9","-4","24","9","0","-4","6","-1","6","-6","-32","-14","60","0","2","-3","-19","-13","-27","3","6","-48","1","-5","-12","-1","12","15","14","-4","0","-2","-24","30","-9","-1","9","-16","24","-6","45","-14","21","0","-4","-39","-17","-4","-6","-10","-9","9","-18","6","-27","6","0","-9","37","8","-6","-11","-22","-3","2","12","-30","7","-2","0","12","1","24","-12","11","-12","20","-24","24","-4","-25","6","0","-10","-9","-5","-20","9","-10","1","-36","13","-10","-24","14","0","-42","16","28","3","-19","-12","36","-9","12","-27","13","3","0","5","-16","-9","0","-3","-15","-2","32","-12","34","2","6","0","-25","-30","1","21","-9","1","-33","-24","2","9","-57","25","0","24","-18","20","27","4","-21","6","16","-5","-9","10","6","0","-2","-6","-12","-10","10","33","32","-3","-54","-12","-10","3","0","-10","12","-7","-7","0","12","13","12","-1","37","3","15","0","12","-3","9","42","10","9","0","0","0","6","10","8","39","2","-36","-9","4","1","72","-15","-13","15","-12","10","3","0","-38","-30","20","-8","12","-16","9","6","-7","9","-60","-8","0","3","-3","-2","48","-10","-2","9","10","20","42","-3","2","0","2","12","78","8","40","12","-11","26","30","14","33","-18","0","-1","-18","2","4","-18","-9","18","9","9","-25","-24","-44","0","33","-1","16","6","46","-8","-36","5","-14","-21","18","4","0","14","-21","-3","24","10","36","10","-43","18","3","3","72","0","-44","12","21","-5","-12","19","7","30","-43","-8","15","-13","0","-18","-16","-28","-3","-2","30","-39","-24","3","36","18","-1","0","11","-22","-48","4","-30","-6","30","-11","36","-18","-2","27","0","10","54","-1","-30","-9","-7","-4","-15","24","-3","9","20","0","9","-4","3","6","8","-1","24","6","44","-6","-38","-32","0","-14","8","60","20","0","-63","2","-26","-3","30","-19","36","-13","6","-27","7","3","-75","6","40","-48","-12","1","-60","-5","0","-12","13","-1","-12","12","-14","15","3","14","-30","-4","16","0","-80","-2","18","-24","-10","30","3","-9","-66","-1","12","9","0","-16","36","24","-8","-6","13","45","30","-14","20","21","-28","0","-27","-4","15","-39","13","-17","3","-4","4","-6","19","-10","0","-9","-12","9","-3","-18","-84","6","3","-27","24","6","0","0","-19","-9","-5","37","-24","8","6","-6","-2","-11","18","-22","0","-3","-14","2","45","12","-38","-30","12","7","-30","-2","8","0","-18","12","45","1","-4","24","-52","-12","48","11","9","-12","0","20","-27","-24","21","24","-18","-4","-6","-25","-8","6","4","0","30","-10","54","-9","0","-5","-60","-20","4","9","40","-10","0","1","-4","-36","-51","13","-24","-10","30","-24","11","14","-78","0","-3","-42","0","16","27","28","14","3","-4","-19","-6","-12","13","36","-7","-9","-54","12","-40","-27","-21","13","48","3","-38","0","-8","5","3","-16","-32","-9","1","0","24","-3","22","-15","0","-2","42","32","9","-12","-32","34","-42","2","0","6","-26","0","-30","-25","20","-30","2","1","-18","21","-48","-9","16","1","0","-33","15","-24","27","2","15","9","14","-57","19","25","-60","0","2","24","28","-18","39","20","-8","27","3","4","84","-21","0","6","-40","16","78","-5","-50","-9","-8","10","-54","6","-6","0","7","-2","66","-6","18","-12","4","-10","9","10","-4","33","0","32","54","-3","30","-54","11","-12","-30","-10","12","3","-22","0","18","-10","-12","12","-47","-7","-72","-7","13","0","14","12","0","13","54","12","2","-1","-12","37","-3","3","12","15","-18","0","20","12","40","-3","96","9","24","42","4","10","-90","9"],"lmfdb":"agrees","curve":{"cremona":"574i1","lmfdb":"574.g","ainvs":[1,-1,1,-19353,958713],"rank":1,"torsion":7}},{"label":"574.2.a.h","letter":"h","dim":1,"charpoly":["50","1"],"traces":["1","1","-1","1","-1","-1","-1","1","-2","-1","-6","-1","-4","-1","1","1","7","-2","0","-1","1","-6","-8","-1","-4","-4","5","-1","1","1","5","1","6","7","1","-2","-2","0","4","-1","1","1","-5","-6","2","-8","-6","-1","1","-4","-7","-4","-3","5","6","-1","0","1","-10","1","-3","5","2","1","4","6","14","7","8","1","3","-2","8","-2","4","0","6","4","7","-1","1","1","-2","1","-7","-5","-1","-6","5","2","4","-8","-5","-6","0","-1","5","1","12","-4","6","-7","-11","-4","-1","-3","-13","5","2","6","2","-1","1","0","8","1","8","-10","-7","1","25","-3","-1","5","9","2","6","1","5","4","-20","6","0","14","-5","7","-4","8","-18","1","6","3","24","-2","-1","8","-1","-2","-15","4","-15","0","-14","6","-5","4","0","7","3","-1","8","1","-4","1","-6","-2","4","1","3","-7","0","-5","-1","-1","4","-6","10","5","0","2","14","4","3","-8","2","-5","-42","-6","-5","0","-25","-1","-4","5","-4","1","12","12","4","-4","-14","6","-1","-7","-1","-11","16","-4","0","-1","28","-3","-3","-13","5","5","-5","2","-8","6","-28","2","21","-1","8","1","3","0","-20","8","-6","1","-6","8","6","-10","-7","-7","-28","1","-18","25","-16","-3","-1","-1","0","5","2","9","-20","2","48","6","7","1","19","5","2","4","-2","-20","-16","6","3","0","-5","14","6","-5","-12","7","-4","-4","24","8","-26","-18","-10","1","-10","6","6","3","0","24","-1","-2","32","-1","-5","8","-14","-1","10","-2","-30","-15","32","4","5","-15","-6","0","3","-14","-4","6","11","-5","-34","4","22","0","-2","7","2","3","-6","-1","13","8","0","1","16","-4","-2","1","6","-6","-12","-2","4","4","-14","1","-27","3","-1","-7","-30","0","-1","-5","-8","-1","28","-1","6","4","-20","-6","32","10","-3","5","7","0","20","2","-19","14","-25","4","-8","3","15","-8","-2","2","3","-5","-2","-42","-9","-6","-4","-5","5","0","-6","-25","30","-1","-6","-4","10","5","-34","-4","-56","1","20","12","-7","12","-12","4","0","-4","-25","-14","-20","6","-1","-1","12","-7","18","-1","4","-11","10","16","2","-4","18","0","36","-1","39","28","12","-3","-28","-3","3","-13","-24","5","-28","5","24","-5","1","2","0","-8","22","6","-2","-28","-9","2","-5","21","15","-1","-33","8","-6","1","15","3","-4","0","6","-20","35","8","-37","-6","-16","1","5","-6","6","8","-14","6","0","-10","30","-7","0","-7","6","-28","-2","1","8","-18","-8","25","-5","-16","4","-3","4","-1","-3","-1","7","0","-12","5","-3","2","2","9","-4","-20","36","2","-6","48","-3","6","-20","7","-8","1","0","19","11","5","36","2","1","4","-2","-2","20","-20","-4","-16","35","6","41","3","20","0","-4","-5","13","14","0","6","-6","-5","-22","-12","-14","7","-2","-4","22","-4","6","24","0","8","-7","-26","-2","-18","-21","-10","20","1","42","-10","-12","6","-1","6","-1","3","39","0","40","24","25","-1","32","-2","2","32","4","-1","2","-5","18","8","-8","-14","-39","-1","0","10","-12","-2","-33","-30","7","-15","-4","32","44","4","39","5","-28","-15","-25","-6","5","0","1","3","24","-14","28","-4","1","6","46","11","16","-5","-40","-34","-5","4","11","22","0","0","-14","-2","-26","7","-28","2","-6","3","-4","-6","-6","-1","-2","13","-29","8","-5","0","-27","1","60","16","5","-4","17","-2","20","1","-16","6","-36","-6","18","-12","28","-2","0","4","-8","4","-21","-14","18","1","50","-27","-20","3","6","-1","-5","-7","-3","-30","4","0","4","-1","20","-5","12","-8","-17","-1","-12","28","18","-1","7","6","6","4","-20","-20","0","-6","-6","32","-6","10","-31","-3","-14","5","-40","7","-24","0","28","20","12","2","11","-19","18","14","-4","-25","8","4","13","-8","-35","3","-11","15","1","-8","-84","-2","-29","2","0","3","-12","-5","15","-2","4","-42","13","-9","16","-6","20","-4","15","-5","-7","5","-48","0","50","-6","-2","-25","14","30","40","-1","-34","-6","-19","-4","-42","10","-20","5","-2","-34","0","-4","-18","-56","5","1","0","20","-8","12","16","-7","-1","12","12","-12","-3","4","-19","0","-42","-4","-10","-25","-48","-14","-8","-20","-6","6","2","-1","48","-1","12","12","4","-7","0","18","-8","-1","-8","4","-1","-11","-24","10","22","16","-29","2","26","-4","7","18","-4","0","25","36","26","-1","-28","39","10","28","-3","12","-25","-3","-6","-28","16","-3","-37","3","0","-13","42","-24","8","5","1","-28","36","5","1","24","-32","-5","-42","1","-56","2","-10","0","-9","-8","-44","22","14","6","-4","-2","34","-28","-10","-9","48","2","-6","-5","-6","21","0","15","0","-1","-32","-33","5","8","-21","-6","-5","1","-14","15","43","3","-12","-4","-42","0","12","6","-3","-20","20","35","25","8","4","-37","-12","-6","8","-16","22","1","-6","5","0","-6","34","6","42","8","-43","-14","-22","6","50","0","-8","-10","5","30","-28","-7","-32","0","-2","-7","22","6","25","-28","6","-2","4","1","-6","8","26","-18","4","-8","-29","25","0","-5","39","-16","18","4","-16","-3","-6","4","-30","-1","-4","-3","-3","-1","-12","7","-6","0","40","-12","24","5","12","-3","-4","2","-20","2","-10","9"],"lmfdb":"agrees","curve":{"cremona":"574g1","lmfdb":"574.h","ainvs":[1,1,1,-21,-5],"rank":1,"torsion":1}},{"label":"574.2.a.i","letter":"i","dim":1,"charpoly":["-26","1"],"traces":["1","1","-1","1","1","-1","1","1","-2","1","2","-1","4","1","-1","1","3","-2","0","1","-1","2","4","-1","-4","4","5","1","-5","-1","7","1","-2","3","1","-2","-2","0","-4","1","1","-1","-1","2","-2","4","-2","-1","1","-4","-3","4","-1","5","2","1","0","-5","10","-1","-13","7","-2","1","4","-2","-2","3","-4","1","-3","-2","4","-2","4","0","2","-4","-15","1","1","1","-6","-1","3","-1","5","2","-15","-2","4","4","-7","-2","0","-1","-7","1","-4","-4","2","-3","-1","4","-1","-1","-17","5","-10","2","2","1","9","0","4","-5","-8","10","3","-1","-7","-13","-1","7","-9","-2","-2","1","1","4","12","-2","0","-2","5","3","-12","-4","10","1","2","-3","8","-2","-5","4","-1","-2","-5","4","7","0","-6","2","7","-4","-12","-15","1","1","4","1","4","1","-2","-6","8","-1","3","3","0","-1","9","5","-4","2","-10","-15","20","-2","2","4","13","4","-2","-7","6","-2","5","0","17","-1","-16","-7","-4","1","28","-4","0","-4","2","2","-5","-3","1","-1","-8","4","0","-1","12","-1","3","-17","-1","5","7","-10","-4","2","12","2","-1","1","8","9","3","0","0","4","-2","-5","14","-8","-2","10","15","3","-20","-1","22","-7","-16","-13","1","-1","0","7","6","-9","12","-2","8","-2","-3","1","-17","1","-2","4","10","12","-16","-2","-1","0","15","-2","10","5","-28","3","-4","-12","-8","-4","-22","10","-14","1","2","2","14","-3","0","8","1","-2","-8","-5","7","4","-6","-1","10","-2","10","-5","16","4","-1","7","-2","0","-13","-6","-12","2","1","7","22","-4","-26","-12","-2","-15","-2","1","-10","1","17","4","0","1","-16","4","10","1","-2","-2","12","-6","4","8","-2","-1","13","3","-9","3","14","0","1","-1","-4","9","-12","5","10","-4","20","2","24","-10","-3","-15","-3","20","20","-2","-19","2","7","4","4","13","-27","4","-2","-2","-1","-7","34","6","9","-2","-20","5","25","0","2","17","-6","-1","2","-16","2","-7","30","-4","12","1","-12","28","-15","-4","8","0","0","-4","7","2","28","2","1","-5","-4","-3","-10","1","12","-1","10","-8","-6","4","-10","0","0","-1","-3","12","4","-1","-12","3","-13","-17","-8","-1","32","5","-16","7","5","-10","0","-4","-10","2","-2","12","-21","2","-15","-1","5","1","-25","8","2","9","-7","3","4","0","-22","0","15","4","37","-2","-16","-5","-7","14","18","-8","-2","-2","12","10","-2","15","0","3","2","-20","-10","-1","-8","22","-4","-7","-7","-16","-32","-13","-4","1","17","-1","-15","0","-4","7","-3","6","-30","-9","-8","12","-16","-2","2","8","-3","-2","-20","-3","4","1","0","-17","-1","1","-4","-2","-9","4","-18","10","-36","12","4","-16","21","-2","-7","-1","-20","0","4","15","-17","-2","-20","10","2","5","2","-28","-2","3","-10","-4","-22","-12","26","-8","0","-4","-15","-22","2","10","33","-14","-4","1","-6","2","4","2","9","14","1","-3","15","0","12","8","-17","1","-16","-2","18","-8","16","-5","-6","7","-2","4","-8","-6","33","-1","0","10","-28","-2","19","10","3","-5","0","16","0","4","-13","-1","4","7","-7","-2","23","0","5","-13","-8","-6","-36","-12","-1","2","-42","1","-20","7","20","22","-15","-4","11","-26","0","-12","-6","-2","42","-15","-12","-2","-2","1","4","-10","6","1","-18","17","-21","4","1","0","-17","1","20","-16","-7","4","-21","10","12","1","-8","-2","-20","-2","-18","12","-12","-6","0","4","-20","8","1","-2","-26","-1","34","13","-20","3","18","-9","-7","3","-3","14","-16","0","-12","1","0","-1","-4","-4","-33","9","-4","-12","10","5","3","10","-14","-4","-8","20","0","2","2","24","2","-10","35","-3","30","-15","28","-3","8","20","20","20","20","-2","-1","-19","-22","2","20","7","8","4","13","4","-3","13","-21","-27","-1","4","-4","-2","15","-2","0","-1","-36","-7","-5","34","12","6","-17","9","32","-2","-12","-20","7","5","43","25","-8","0","22","2","-10","17","-6","-6","40","-1","-10","2","17","-16","34","2","-28","-7","2","30","0","-4","-6","12","-25","1","-12","-12","28","28","16","-15","9","-4","-52","8","1","0","43","0","-6","-4","30","7","8","2","4","28","-10","2","10","1","12","-5","28","-4","4","-3","0","-10","-8","1","32","12","49","-1","8","10","-42","-8","45","-6","22","4","3","-10","8","0","35","0","10","-1","-4","-3","-2","12","3","4","-7","-1","-14","-12","-8","3","-11","-13","0","-17","-2","-8","20","-1","-1","32","-36","5","9","-16","8","7","-30","5","-8","-10","14","0","-9","-4","8","-10","6","2","-28","-2","-26","12","-10","-21","28","2","-2","-15","2","-1","0","5","20","1","-16","-25","-35","8","-3","2","1","9","2","-7","23","3","-4","4","-38","0","-12","-22","13","0","12","15","-25","4","12","37","-12","-2","8","-16","2","-5","10","-7","0","14","-22","18","6","-8","33","-2","26","-2","-18","12","4","10","5","-2","-12","15","16","0","2","3","54","2","17","-20","10","-10","-12","-1","18","-8","34","22","-16","-4","13","-7","0","-7","47","-16","10","-32","16","-13","-2","-4","-30","1","20","17","-1","-1","28","-15","2","0","-4","-4","32","7","-12","-3","0","6","28","-30","-10","-9"],"lmfdb":"agrees","curve":{"cremona":"574j1","lmfdb":"574.i","ainvs":[1,1,1,-175,789],"rank":0,"torsion":5}},{"label":"574.2.a.j","letter":"j","dim":1,"charpoly":["52","1"],"traces":["1","1","0","1","-4","0","1","1","-3","-4","-2","0","-6","1","0","1","-6","-3","4","-4","0","-2","8","0","11","-6","0","1","-8","0","0","1","0","-6","-4","-3","-2","4","0","-4","-1","0","-8","-2","12","8","0","0","1","11","0","-6","0","0","8","1","0","-8","2","0","-8","0","-3","1","24","0","10","-6","0","-4","-12","-3","10","-2","0","4","-2","0","16","-4","9","-1","-2","0","24","-8","0","-2","-10","12","-6","8","0","0","-16","0","-2","1","6","11","-10","0","4","-6","0","0","12","0","4","8","0","1","-18","0","-32","-8","18","2","-6","0","-7","-8","0","0","-24","-3","-16","1","0","24","10","0","4","10","0","-6","6","0","14","-4","0","-12","12","-3","32","10","0","-2","0","0","-8","4","18","-2","0","0","-14","16","0","-4","8","9","-16","-1","0","-2","0","0","23","24","-12","-8","-4","0","11","-2","0","-10","-10","12","-2","-6","0","8","8","0","12","0","0","-16","-20","0","6","-2","0","1","-6","6","0","11","0","-10","-8","0","4","4","-24","-6","-8","0","-6","0","0","12","32","0","0","4","0","8","36","0","-24","1","-33","-18","-20","0","-10","-32","0","-8","10","18","0","2","0","-6","24","0","-10","-7","0","-8","-4","0","-24","0","0","-24","6","-3","-16","-16","0","1","6","0","-2","24","24","10","-16","0","0","4","0","10","-16","0","-4","-6","0","6","-22","0","2","14","0","-4","-22","0","-6","-12","0","12","-1","-3","19","32","0","10","26","0","-8","-2","0","0","-48","0","-8","-8","0","4","32","18","26","-2","0","0","24","0","26","-14","12","16","0","0","16","-4","0","8","-24","9","-66","-16","0","-1","0","0","-14","-2","6","0","-40","0","2","23","0","24","0","-12","1","-8","0","-4","6","0","-16","11","0","-2","18","0","48","-10","0","-10","0","12","-3","-2","0","-6","-40","0","28","8","3","8","0","0","-18","12","0","0","48","0","28","-16","0","-20","-16","0","8","6","24","-2","-26","0","-48","1","0","-6","-64","6","-34","0","0","11","-34","0","0","-10","-36","-8","4","0","14","4","0","4","2","-24","8","-6","0","-8","34","0","-28","-6","0","0","-66","0","-8","12","0","32","32","0","30","0","0","4","32","0","-32","8","-3","36","32","0","40","-24","0","1","-6","-33","2","-18","0","-20","24","0","6","-10","0","-32","-36","0","16","-8","0","10","18","18","10","0","0","2","16","0","44","-6","0","24","32","0","12","-10","0","-7","8","0","0","-8","0","-4","-8","0","48","-24","-24","0","-12","0","-26","-24","0","6","0","-3","40","-16","0","-16","-18","0","10","1","0","6","-16","0","0","-2","0","24","-14","24","38","10","0","-16","0","0","41","0","-6","4","6","0","-48","10","0","-16","-2","0","22","-4","0","-6","-16","0","2","6","24","-22","-32","0","16","2","0","14","12","0","48","-4","0","-22","28","0","72","-6","9","-12","-10","0","-14","12","0","-1","88","-3","-14","19","0","32","-2","0","0","10","-72","26","0","0","0","-8","0","-2","38","0","24","0","0","-48","16","0","-6","-8","-30","-8","28","0","44","4","0","32","0","18","2","26","0","-2","-18","0","18","0","0","24","-10","0","41","26","0","-14","12","12","-24","16","0","0","64","0","-6","16","36","-4","-42","0","20","8","0","-24","-12","9","-4","-66","0","-16","-24","0","-40","-1","-30","0","26","0","-20","-14","0","-2","-16","6","-64","0","0","-40","16","0","-18","2","0","23","0","0","-2","24","0","0","-26","-12","-24","1","0","-8","0","0","-32","-4","6","6","-56","0","6","-16","0","11","46","0","-8","-2","0","18","-10","0","48","48","-48","-10","0","0","-48","-10","0","0","16","12","4","-3","0","-2","-88","0","-40","-6","-27","-40","48","0","40","28","0","8","-20","3","-8","8","0","0","0","0","0","-18","6","12","12","0","48","0","0","48","32","0","-32","28","0","-16","6","0","4","-20","-72","-16","-12","0","-26","8","0","6","-14","24","0","-2","0","-26","-4","0","24","-48","0","1","56","0","26","-6","0","-64","-18","6","48","-34","0","0","48","0","0","11","30","-34","-20","0","-32","0","0","-10","6","-36","-30","-8","0","4","64","0","-32","14","18","4","-22","0","36","4","0","2","30","-24","-28","8","0","-6","-6","0","0","-8","0","34","8","0","35","-28","0","-6","-92","0","-7","0","0","-66","-16","0","12","-8","48","12","-26","0","-26","32","0","32","16","0","16","30","0","0","-32","0","-60","4","6","32","-24","0","34","-32","0","8","42","-3","-2","36","0","32","-40","0","-16","40","-18","-24","0","0","40","1","0","-6","0","-33","0","2","0","-18","8","0","-8","-20","30","24","-40","0","4","6","0","-10","10","0","-36","-32","0","-36","72","0","-22","16","-12","-8","-2","0","4","10","0","18","-48","18","22","10","0","0","-24","0","-8","2","0","16","-52","0","-60","44","0","-6","6","0","80","24","0","32","6","0","-31","12","-36","-10","-24","0","-44","-7","0","8","-20","0","14","0","0","-8","-42","0","20","-4","-12","-8","24","0","24","48","0","-24","-64","-24","4","0","0","-12","0","0","22","-26","0","-24"],"lmfdb":"agrees","curve":{"cremona":"574h1","lmfdb":"574.j","ainvs":[1,-1,1,3,5],"rank":1,"torsion":2}},{"label":"574.2.a.k","letter":"k","dim":2,"charpoly":["-10994","26","1"],"traces":["2","2","4","2","2","4","2","2","2","2","-2","4","-4","2","4","2","0","2","0","2","4","-2","-4","4","-2","-4","-8","2","2","4","-4","2","-4","0","2","2","-4","0","-8","2","2","4","4","-2","2","-4","8","4","2","-2","0","-4","-2","-8","-8","2","0","2","2","4","10","-4","2","2","-16","-4","-10","0","-8","2","12","2","-4","-4","-4","0","-2","-8","0","2","-22","2","6","4","0","4","4","-2","12","2","-4","-4","-8","8","-12","4","4","2","-2","-2","16","0","4","-4","4","-2","8","-8","-14","-8","-8","2","-12","0","-4","2","-4","2","0","4","-14","10","4","-4","0","2","20","2","8","-16","6","-4","0","-10","-8","0","0","-8","2","2","16","12","16","2","-28","-4","4","-4","-22","-4","-28","0","0","-2","8","-8","36","0","-4","2","-4","-22","-28","2","-16","6","16","4","6","0","0","4","-18","4","-2","-2","4","12","-14","2","16","-4","20","-4","20","-8","0","8","-8","-12","4","4","-20","4","-32","2","-16","-2","0","-2","-20","16","2","0","2","4","-4","-4","12","4","18","-2","24","8","40","-8","-4","-14","-8","-8","0","-8","16","2","-2","-12","24","0","-24","-4","-4","2","-44","-4","-4","2","0","0","44","4","-28","-14","-20","10","2","4","24","-4","12","0","30","2","4","20","0","2","-4","8","-4","-16","2","6","40","-4","28","0","24","-10","26","-8","16","0","-8","0","-10","-8","-8","2","-4","2","28","16","-2","12","-24","16","2","2","-34","-28","8","-4","36","4","44","-4","8","-22","8","-4","4","-28","32","0","16","0","30","-2","8","8","8","-8","-40","36","2","0","26","-4","28","2","16","-4","0","-22","-20","-28","-28","2","8","-16","6","6","-4","16","8","4","-4","6","-24","0","-8","0","2","4","-8","-18","54","4","26","-2","16","-2","-24","4","0","12","0","-14","-8","2","-14","16","-28","-4","-28","20","24","-4","2","20","-2","-8","-52","0","0","8","56","-8","8","-12","40","4","24","4","-8","-20","4","4","-12","-32","0","2","12","-16","0","-2","-32","0","0","-2","20","-20","-16","16","-22","2","-20","0","-44","2","0","4","2","-4","12","-4","4","12","-18","4","6","18","8","-2","0","24","10","8","32","40","4","-8","4","-4","-56","-14","0","-8","-56","-8","2","0","36","-8","36","16","-44","2","4","-2","-2","-12","-56","24","-16","0","4","-24","0","-4","26","-4","40","2","16","-44","18","-4","-10","-4","72","2","-40","0","-24","0","-2","44","-32","4","-40","-28","-8","-14","4","-20","8","10","-56","2","-44","4","0","24","-8","-4","12","12","-6","0","32","30","-32","2","16","4","12","20","32","0","-4","2","0","-4","16","8","4","-4","-36","-16","-24","2","-18","6","-4","40","0","-4","-38","28","2","0","-4","24","-16","-10","-28","26","-2","-8","4","16","32","0","-44","-8","-14","0","10","-10","60","-8","0","-8","40","2","18","-4","-80","2","0","28","-64","16","-24","-2","-22","12","-12","-24","-42","16","8","2","4","2","-24","-34","-40","-28","6","8","-28","-4","-16","36","-60","4","-24","44","-32","-4","-28","8","0","-22","0","8","24","-4","16","4","-10","-28","-2","32","16","0","4","16","8","0","-48","30","4","-2","-60","8","-22","8","16","8","12","-8","-14","-40","24","36","0","2","-12","0","36","26","20","-4","-4","28","12","2","36","16","-24","-4","80","0","-4","-22","-44","-20","-8","-28","-30","-28","-36","2","-4","8","-10","-16","54","6","0","6","-12","-4","-4","16","32","8","-16","4","-64","-4","8","6","30","-24","4","0","48","-8","10","0","-12","2","-48","4","-56","-8","60","-18","-2","54","20","4","0","26","-88","-2","20","16","-48","-2","-8","-24","16","4","22","0","0","12","8","0","40","-14","88","-8","-8","2","4","-14","-56","16","-62","-28","-56","-4","26","-28","0","20","30","24","4","-4","-8","2","36","20","48","-2","0","-8","-52","-52","6","0","8","0","28","8","60","56","-40","-8","2","8","8","-12","32","40","-14","4","0","24","-88","4","-32","-8","-8","-20","20","4","28","4","-8","-12","0","-32","0","0","-8","2","48","12","26","-16","80","0","-12","-2","-32","-32","56","0","2","0","0","-2","12","20","28","-20","-4","-16","52","16","68","-22","6","2","32","-20","-40","0","-72","-44","-4","2","40","0","20","4","-20","2","-30","-4","-6","12","-16","-4","0","4","40","12","16","-18","8","4","94","6","56","18","54","8","-14","-2","-4","0","8","24","14","10","-12","8","20","32","10","40","4","4","-24","-8","-24","4","-68","-4","0","-56","-16","-14","4","0","0","-8","64","-56","72","-8","64","2","62","0","88","36","8","-8","20","36","22","16","24","-44","-8","2","16","4","-64","-2","0","-2","8","-12","40","-56","28","24","16","-16","-4","0","-12","4","32","-24","6","0","-20","-4","60","26","0","-4","52","40","4","2","44","16","0","-44","16","18","0","-4","-12","-10","-80","-4","-6","72","-4","2","-8","-40","-24","0","56","-24","52","0","-12","-2","40","44","56","-32","0","4","-30","-40","8","-28","-20","-8","32","-14","0","4","16","-20","2","8","-40","10","32","-56","-36","2","-14","-44","-68","4","20","0","16","24","-8","-8","-20","-4","12","12","-84","12","104","-6","16","0"],"lmfdb":"agrees"},{"label":"574.2.a.l","letter":"l","dim":3,"charpoly":["-44476","-4318","-78","1"],"traces":["3","3","1","3","1","1","-3","3","8","1","6","1","0","-3","5","3","-7","8","4","1","-1","6","4","1","-2","0","7","-3","5","5","7","3","-10","-7","-1","8","6","4","0","1","-3","-1","-9","6","-18","4","6","1","3","-2","-19","0","-7","7","10","-3","-32","5","-2","5","-13","7","-8","3","0","-10","22","-7","-8","-1","7","8","-28","6","-8","4","-6","0","19","1","19","-3","-14","-1","-7","-9","-3","6","23","-18","0","4","19","6","-8","1","-25","3","-12","-2","18","-19","-1","0","-5","-7","-1","7","-2","10","2","-3","-15","-32","-24","5","0","-2","7","5","-1","-13","-1","7","15","-8","-18","3","-53","0","4","-10","-4","22","-9","-7","8","-8","-18","-1","2","7","0","8","-11","-28","1","6","37","-8","21","4","-26","-6","7","0","-24","19","17","1","-4","19","28","-3","22","-14","12","-1","-39","-7","-4","-9","1","-3","2","6","2","23","20","-18","6","0","-33","4","2","19","-2","6","-7","-8","43","1","12","-25","0","3","8","-12","-24","-2","62","18","-5","-19","-1","-1","52","0","32","-5","12","-7","-29","-1","-17","7","-7","-2","24","10","0","2","-1","-3","-54","-15","13","-32","16","-24","10","5","2","0","2","-2","-1","7","-4","5","-14","-1","52","-13","1","-1","0","7","-26","15","12","-8","-8","-18","5","3","-7","-53","-6","0","34","4","48","-10","-31","-4","15","22","-22","-9","60","-7","0","8","24","-8","26","-18","26","-1","26","2","6","7","40","0","3","8","-18","-11","-1","-28","6","1","-34","6","-38","37","0","-8","9","21","-22","4","-1","-26","8","-6","-69","7","6","0","18","-24","18","19","22","17","2","1","11","-4","24","19","0","28","50","-3","-6","22","-24","-14","16","12","34","-1","9","-39","69","-7","2","-4","-3","-9","16","1","-12","-3","-78","2","0","6","20","2","39","23","19","20","-16","-18","15","6","-15","0","0","-33","29","4","-8","2","7","19","-10","-2","-21","6","0","-7","-39","-8","18","43","6","1","-10","12","-46","-25","10","0","0","3","-72","8","27","-12","8","-24","32","-2","15","62","0","18","25","-5","12","-19","-18","-1","-36","-1","2","52","-22","0","34","32","-4","-5","-29","12","16","-7","12","-29","13","-1","0","-17","-32","7","-76","-7","13","-2","24","24","22","10","8","0","27","2","-13","-1","-11","-3","67","-54","-6","-15","57","13","0","-32","-58","16","-57","-24","-19","10","-48","5","-5","2","-42","0","-22","2","-8","-2","18","-1","12","7","58","-4","2","5","0","-14","8","-1","-29","52","-40","-13","52","1","81","-1","-7","0","-56","7","-7","-26","-14","15","52","12","28","-8","-70","-8","-13","-18","-20","5","28","3","-72","-7","-65","-53","12","-6","-67","0","74","34","-16","4","8","48","-33","-10","-13","-31","64","-4","0","15","71","22","52","-22","6","-9","-50","60","-122","-7","-66","0","-18","8","-70","24","16","-8","-19","26","10","-18","-17","26","0","-1","14","26","-104","2","-7","6","-19","7","-41","40","0","0","31","3","-44","8","-58","-18","-144","-11","14","-1","-62","-28","0","6","31","1","-24","-34","12","6","-99","-38","7","37","-4","0","-40","-8","-55","9","60","21","41","-22","-9","4","3","-1","0","-26","12","8","-5","-6","30","-69","-8","7","32","6","-23","0","-15","18","-32","-24","-14","18","-42","19","-36","22","-22","17","0","2","-86","1","30","11","-3","-4","35","24","15","19","-40","0","-19","28","13","50","-76","-3","-60","-6","28","22","62","-24","0","-14","8","16","32","12","-45","34","6","-1","-6","9","-68","-39","-30","69","25","-7","45","2","-44","-4","60","-3","48","-9","0","16","-31","1","12","-12","62","-3","7","-78","134","2","64","0","8","6","10","20","-18","2","77","39","2","23","0","19","0","20","60","-16","-32","-18","1","15","62","6","-24","-15","20","0","-49","0","71","-33","67","29","5","4","16","-8","-25","2","0","7","-4","19","-51","-10","-24","-2","1","-21","0","6","-80","0","21","-7","-51","-39","-64","-8","46","18","2","43","30","6","0","1","70","-10","-39","12","-50","-46","-12","-25","-2","10","-4","0","82","0","23","3","-8","-72","-60","8","64","27","15","-12","0","8","-31","-24","-5","32","-14","-2","110","15","-80","62","24","0","90","18","34","25","-40","-5","20","12","44","-19","88","-18","0","-1","-24","-36","43","-1","48","2","54","52","-11","-22","118","0","-7","34","-28","32","57","-4","34","-5","-66","-29","-10","12","-13","16","1","-7","66","12","8","-29","13","13","-48","-1","-6","0","72","-17","1","-32","32","7","61","-76","68","-7","66","13","0","-2","-18","24","-15","24","-32","22","-146","10","-4","8","10","0","-6","27","-68","2","18","-13","-10","-1","8","-11","8","-3","0","67","7","-54","-3","-6","53","-15","-10","57","63","13","172","0","90","-32","-24","-58","7","16","-4","-57","45","-24","44","-19","0","10","-4","-48","58","5","-62","-5","4","2","106","-42","-42","0","-41","-22","-14","2","38","-8","-4","-2","9","18","-36","-1","0","12","58","7","-34","58","19","-4","-42","2","-8","5","-60","0","-134","-14","8","8","-1","-1","56","-29","-15","52","18","-40","0","-13","-34","52","18","1","176","81","-1","-1","28","-7","-2","0","16","-56","-8","7","32","-7","84","-26","12","-14","14","15"],"lmfdb":"agrees"},{"label":"574.2.a.m","letter":"m","dim":4,"charpoly":["-15942808","393892","4924","-178","1"],"traces":["4","-4","-1","4","3","1","-4","-4","9","-3","4","-1","-6","4","11","4","-1","-9","2","3","1","-4","6","1","13","6","-13","-4","17","-11","5","-4","8","1","-3","9","-6","-2","18","-3","4","-1","-13","4","34","-6","6","-1","4","-13","-11","-6","29","13","-16","4","16","-17","16","11","21","-5","-9","4","18","-8","4","-1","-18","3","17","-9","12","6","26","2","-4","-18","-27","3","40","-4","-18","1","-29","13","-41","-4","37","-34","6","6","-47","-6","24","1","-3","-4","-32","13","2","11","-19","6","-11","-29","19","-13","-8","16","-40","-4","11","-16","-18","17","-28","-16","1","-11","-12","-21","-1","5","-15","9","-34","-4","-1","-18","-12","8","-2","-4","-35","1","12","18","-4","-3","-50","-17","-12","9","-19","-12","-1","-6","5","-26","-1","-2","-72","4","-9","18","0","27","3","-3","-6","-40","12","4","44","18","-8","-1","0","29","-10","-13","3","41","-13","4","30","-37","60","34","-28","-6","33","-6","-28","47","16","6","13","-24","-15","-1","18","3","-10","4","34","32","-4","-13","-24","-2","-17","-11","3","19","28","-6","-4","11","8","29","-19","-19","1","13","-5","8","-22","-16","26","40","-27","4","17","-11","-21","16","28","18","-8","-17","-42","28","-58","16","-7","-1","36","11","54","12","-90","21","3","1","40","-5","12","15","10","-9","12","34","-61","4","7","1","6","18","24","12","-48","-8","113","2","-37","4","78","35","-20","-1","-18","-12","52","-18","-18","4","38","3","24","50","-46","17","12","12","-4","-9","49","19","23","12","-20","1","-6","6","76","-5","-52","26","13","1","-2","2","-13","72","30","-4","-27","9","18","-18","32","0","-34","-27","-4","-3","12","3","-13","6","24","40","-56","-12","94","-4","-6","-44","26","-18","14","8","-56","1","55","0","-15","-29","-28","10","-4","13","10","-3","80","-41","-18","13","14","-4","28","-30","35","37","11","-60","-20","-34","-32","28","-37","6","42","-33","-25","6","9","28","-29","-47","-18","-16","105","-6","-38","-13","-19","24","-58","15","-16","1","16","-18","-30","-3","18","10","-26","-4","70","-34","7","-32","-10","4","-16","13","5","24","-14","2","59","17","-24","11","50","-3","98","-19","-16","-28","28","6","-30","4","-12","-11","-9","-8","-28","-29","-86","19","-21","19","0","-1","48","-13","40","5","-51","-8","-40","22","-56","16","9","-26","-65","-40","-23","27","-41","-4","21","-17","4","11","-153","21","-18","-16","24","-28","-21","-18","-5","8","0","17","-117","42","26","-28","-4","58","8","-16","-28","7","-30","1","160","-36","-34","-11","-24","-54","18","-12","-51","90","22","-21","-4","-3","53","-1","71","-40","4","5","-17","-12","30","-15","-100","-10","-46","9","62","-12","-47","-34","-22","61","-12","-4","-12","-7","51","-1","20","-6","-5","-18","28","-24","-20","-12","-26","48","57","8","-40","-113","-18","-2","-6","37","141","-4","-56","-78","4","-35","6","20","-36","1","22","18","52","12","-6","-52","-4","18","27","18","-108","-4","15","-38","46","-3","-36","-24","-26","-50","-25","46","-40","-17","5","-12","-14","-12","-59","4","56","9","32","-49","40","-19","18","-23","-52","-12","-96","20","-3","-1","-4","6","-4","-6","11","-76","29","5","44","52","-14","-26","43","-13","-88","-1","-93","2","17","-2","41","13","-44","-72","-50","-30","11","4","-8","27","18","-9","-14","-18","-37","18","38","-32","16","0","24","34","90","27","56","4","-50","3","-6","-12","206","-3","-40","13","51","-6","-75","-24","61","-40","68","56","47","12","-39","-94","18","4","194","6","42","44","62","-26","18","18","-24","-14","38","-8","-87","56","88","-1","-46","-55","160","0","-70","15","3","29","61","28","-4","-10","18","4","-28","-13","34","-10","-9","3","32","-80","-106","41","-1","18","-12","-13","-12","-14","-36","4","-94","-28","-2","30","-27","-35","22","-37","14","-11","112","60","-8","20","-2","34","19","32","28","-28","-30","37","-56","-6","108","-42","39","33","1","25","11","-6","40","-9","-1","-28","-24","29","98","47","93","18","-14","16","-19","-105","28","6","36","38","-127","13","25","19","0","-24","68","58","8","-15","-178","16","-40","-1","116","-16","-123","18","34","30","-108","3","40","-18","2","-10","-20","26","-163","4","44","-70","-22","34","48","-7","-11","32","-74","10","33","-4","69","16","102","-13","28","-5","-40","-24","18","14","74","-2","-70","-59","32","-17","24","24","4","-11","20","-50","28","3","2","-98","-19","19","-52","16","62","28","-25","-28","128","-6","-1","30","-20","-4","-213","12","36","11","49","9","30","8","-123","28","12","29","4","86","24","-19","19","21","-28","-19","-44","0","-8","1","1","-48","-6","13","-55","-40","206","-5","-68","51","-4","8","-88","40","15","-22","58","56","32","-16","-10","-9","-100","26","162","65","42","40","34","23","-108","-27","-32","41","24","4","60","-21","119","17","-45","-4","1","-11","16","153","-69","-21","72","18","-76","16","-52","-24","215","28","12","21","-57","18","-32","5","-134","-8","-78","0","122","-17","-84","117","2","-42","-186","-26","-28","28","129","4","-102","-58","-30","-8","6","16","35","28","-68","-7","-100","30","-38","-1","52","-160","19","36","44","34","-12","11","13","24","262","54","-84","-18","17","12","-4","51","39","-90","4","-22","0","21","-64","4","60","3","-114","-53","37","1","120","-71","50","40","-46","-4","-80","-5","-62","17","-40","12","18","-30","-108","15"],"lmfdb":"agrees"}],"seconds":0.494,"computed":"atlas","estimate":{"seconds":0.469,"low":0.286,"high":0.812,"bytes":2136026}}