{"label":"546.2.a","level":546,"weight":2,"dims":{"new":13,"cusp":105,"eisenstein":15,"modsym":225},"old":[[14,1,4],[21,1,4],[26,2,4],[39,3,4],[42,1,2],[78,1,2],[91,7,4],[182,5,2],[273,11,2]],"T":[[5,1],[11,2],[17,3],[19,4],[23,5],[29,6],[31,7],[37,8]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546]: [0, 1, 1, 3, 1, 1, 4, 4, 5, 6, 12, 18, 10, 32, 40, 120] (certified at ell = 2147483629)","T = [(5, 1), (11, 2), (17, 3), (19, 4), (23, 5), (29, 6), (31, 7), (37, 8)]; h of degree 13 = 1 x 13 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"546.2.a.a","letter":"a","dim":1,"charpoly":["-131","1"],"traces":["1","-1","-1","1","-1","1","-1","-1","1","1","-1","-1","1","1","1","1","-1","-1","7","-1","1","1","3","1","-4","-1","-1","-1","-3","-1","8","-1","1","1","1","1","7","-7","-1","1","8","-1","7","-1","-1","-3","8","-1","1","4","1","1","-10","1","1","1","-7","3","4","1","7","-8","-1","1","-1","-1","2","-1","-3","-1","4","-1","-1","-7","4","7","1","1","2","-1","1","-8","-6","1","1","-7","3","1","14","1","-1","3","-8","-8","-7","1","-14","-1","-1","-4","4","-1","-5","-1","-1","10","-18","-1","-11","-1","-7","-1","6","7","-3","-3","1","-4","1","-1","-10","-7","-8","8","9","1","18","-1","-7","1","-5","1","-7","-2","1","1","-19","3","0","1","-8","-4","-1","1","3","1","-1","7","0","-4","-9","-7","-1","-1","-8","-1","-13","-2","10","1","-3","-1","2","8","-1","6","15","-1","1","-1","7","7","14","-3","4","-1","-4","-14","12","-1","-22","1","-7","-3","-7","8","1","8","1","7","19","-1","16","14","1","1","-12","1","1","4","-2","-4","3","1","-8","5","3","1","-7","1","-3","-10","-4","18","-7","1","-8","11","1","1","-1","7","14","1","-4","-6","-22","-7","10","3","-1","3","12","-1","-8","4","-2","-1","24","1","10","10","-1","7","-1","8","7","-8","6","-9","7","-1","-3","-18","-1","1","18","7","-7","-1","-3","5","-4","-1","10","7","-14","2","-2","-1","2","-1","1","19","4","-3","-14","0","8","-1","10","8","32","4","7","1","-8","-1","-16","-3","14","-1","14","1","-4","-7","1","0","3","4","-7","9","-4","7","-7","1","-32","1","5","8","30","1","-24","13","1","2","12","-10","3","-1","18","3","-7","1","-4","-2","11","-8","-8","1","-10","-6","7","-15","-2","1","-21","-1","-6","1","-8","-7","-1","-7","3","-14","-12","3","-18","-4","-1","1","14","4","-4","14","-1","-12","0","1","30","22","10","-1","1","7","-8","3","8","7","10","-8","-12","-1","-9","-8","-3","-1","12","-7","-18","-19","-9","1","-1","-16","7","-14","-2","-1","-3","-1","5","12","-2","-1","18","-1","7","-4","18","2","8","4","-1","-3","-7","-1","5","8","19","-5","-4","-3","6","-1","0","7","1","-1","34","3","8","10","4","4","-7","-18","1","7","-38","-1","12","8","-3","-11","21","-1","-17","-1","1","1","-10","-7","-14","-14","0","-1","-39","4","-8","6","9","22","1","7","-12","-10","1","-3","21","1","-17","-3","8","-12","-25","1","-2","8","13","-4","-7","2","-28","1","-10","-24","5","-1","7","-10","3","-10","14","1","16","-7","-2","1","-30","-8","3","-7","1","8","-4","-6","12","9","-15","-7","34","1","-4","3","-1","18","-3","1","1","-1","-7","-18","5","-7","-8","7","-14","1","-35","3","-20","-5","-4","4","-8","1","-14","-10","4","-7","8","14","18","-2","-12","2","-1","1","-43","-2","22","1","11","-1","-4","-19","7","-4","-21","3","-2","14","7","0","-24","-8","7","1","-1","-10","19","-8","-6","-32","-1","-4","-6","-7","16","-1","-19","8","-12","1","42","16","-16","3","6","-14","10","1","-1","-14","-38","-1","56","4","12","7","30","-1","-1","0","-1","-3","-3","-4","-28","7","2","-9","10","4","-1","-7","-3","7","8","-1","37","32","8","-1","-33","-5","-1","-8","-3","-30","-14","-1","11","24","7","-13","-7","-1","27","-2","3","-12","-18","10","1","-3","4","1","50","-18","17","-3","7","7","12","-1","-4","4","8","2","35","-11","5","8","-1","8","6","-1","22","10","1","6","7","-7","-9","15","-14","2","-7","-1","7","21","4","1","-22","6","14","-1","22","8","-19","7","19","1","-10","7","-10","-3","-20","14","1","12","0","-3","-8","18","-12","4","10","1","49","-1","8","-14","-4","-4","-6","4","2","-14","24","1","1","12","-24","0","-42","-1","5","-30","-10","-22","12","-10","23","1","1","-1","-7","-7","-32","8","1","-3","-2","-8","22","-7","-7","-10","6","8","0","12","-6","1","18","9","-28","8","-7","3","9","1","18","-12","3","7","16","18","11","19","1","9","4","-1","5","1","-18","16","-27","-7","-32","14","7","2","56","1","-4","3","3","1","13","-5","55","-12","4","2","-6","1","7","-18","-10","1","16","-7","-8","4","14","-18","1","-2","3","-8","2","-4","-10","1","-45","3","-2","7","-2","1","49","-5","-1","-8","-24","-19","20","5","-4","4","-41","3","7","-6","14","1","-1","0","-15","-7","-8","-1","-4","1","-20","-34","-10","-3","-1","-8","10","-10","-32","-4","21","-4","-44","7","-7","18","-18","-1","-44","-7","8","38","46","1","-14","-12","16","-8","-2","3","2","11","-14","-21","-9","1","34","17","-14","1","-49","-1","31","-1","4","10","-36","7","-18","14","-1","14","56","0","-12","1","-3","39","-24","-4","10","8","7","-6","22","-9","4","-22","4","-1","13","-7","6","12","7","10","5","-1","38","3","32","-21","4","-1","-28","17","-5","3","28","-8","7","12","-30","25","-1","-1","2","2","24","-8","-46","-13","24","4","-1","7","-13","-2","-1","28","-12","-1","36","10","-19","24","-3","-5","19","1","33","-7","-18","10","-16","-3","13","10","7","-14","-40","-1","0","-16","4","7","-45","2","-14","-1","-11","30","-3","8","12","-3","8","7","21","-1","42","-8","10","4","-1","6","-14","-12","-7","-9"],"lmfdb":"agrees","curve":{"cremona":"546a1","lmfdb":"546.a","ainvs":[1,1,0,-108,-486],"rank":0,"torsion":1}},{"label":"546.2.a.b","letter":"b","dim":1,"charpoly":["80","1"],"traces":["1","-1","1","1","-2","-1","-1","-1","1","2","-4","1","1","1","-2","1","-2","-1","-4","-2","-1","4","-4","-1","-1","-1","1","-1","-2","2","0","-1","-4","2","2","1","-2","4","1","2","2","1","4","-4","-2","4","-12","1","1","1","-2","1","6","-1","8","1","-4","2","0","-2","-10","0","-1","1","-2","4","4","-2","-4","-2","-8","-1","-6","2","-1","-4","4","-1","8","-2","1","-2","8","-1","4","-4","-2","4","-6","2","-1","-4","0","12","8","-1","2","-1","-4","-1","-6","2","-8","-1","2","-6","0","1","14","-8","-2","-1","10","4","8","-2","1","0","2","2","5","10","2","0","12","1","-8","-1","4","2","12","-4","4","-4","-2","2","22","4","4","2","-12","8","-4","1","4","6","1","-2","18","1","-16","4","-2","-4","0","1","22","-8","6","2","4","-1","12","2","8","-8","12","1","1","-4","-4","4","2","2","1","-4","0","6","-24","-2","-26","1","-10","4","4","0","8","-12","-1","-8","-12","1","2","-2","-2","1","-6","4","-8","1","4","6","2","-2","-4","8","-4","1","16","-2","4","6","-8","0","-8","-1","0","-14","-6","8","-2","2","-24","1","-1","-10","-8","-4","-26","-8","4","2","26","-1","24","0","8","-2","-24","-2","2","-5","1","-10","-2","-2","-4","0","8","-12","-4","-1","16","8","4","1","-18","-4","2","-2","-2","-12","-20","4","-12","-4","-6","4","-6","2","-24","-2","-1","-22","4","-4","22","-4","0","-2","22","12","-28","-8","8","4","-2","-1","-13","-4","2","-6","14","-1","0","2","-4","-18","-4","-1","-4","16","-6","-4","20","2","-12","4","-8","0","24","-1","-6","-22","2","8","2","-6","8","-2","0","-4","8","1","-1","-12","14","-2","12","-8","-12","8","-2","-12","-8","-1","18","-1","10","4","0","4","-1","-4","8","-2","16","-2","-34","-1","1","4","-14","0","16","-6","2","24","24","2","-3","26","5","-1","12","10","-24","-4","2","-4","-6","0","-26","-8","12","12","-2","1","28","8","-8","12","-12","-1","-8","-2","4","2","14","2","8","-1","12","6","-16","-4","14","8","4","-1","-10","-4","0","-6","-2","-2","8","2","26","4","22","-8","0","4","-16","-1","4","-16","20","2","-26","-4","-12","-6","2","8","10","0","-4","8","-40","1","-30","0","4","14","16","6","-32","-8","1","2","-24","-2","12","24","18","-1","-18","1","-8","10","-16","8","2","4","18","26","-2","8","-2","-4","24","-2","0","-26","4","1","-4","-24","22","0","-16","-8","4","2","6","24","12","2","-2","-2","4","5","-4","-1","32","10","12","2","-8","2","4","4","8","0","8","-8","-20","12","12","4","-16","1","12","-16","1","-8","6","-4","6","-1","-4","18","16","4","48","-2","2","2","-18","2","36","12","1","20","0","-4","-7","12","0","4","2","6","0","-4","-24","6","-4","-2","-2","24","-26","2","-28","1","20","22","-10","-4","8","4","-8","-22","4","4","-38","0","4","2","8","-22","-4","-12","-20","28","-1","8","26","-8","-28","-4","-12","2","4","1","18","13","2","4","-8","-2","-24","6","-2","-14","-24","1","0","0","-6","-2","-22","4","-4","18","-8","4","-12","1","-22","4","4","-16","-10","6","8","4","2","-20","-12","-2","14","12","-4","-4","22","8","-28","0","-4","-24","6","1","-19","6","16","22","4","-2","40","-8","4","-2","16","6","1","-8","-8","2","-22","0","20","4","-8","-8","-48","-1","0","1","0","12","30","-14","-24","2","-6","-12","0","8","22","12","-2","-8","-8","2","8","12","-24","8","40","1","18","-18","-1","1","34","-10","-2","-4","-8","0","-44","-4","-44","1","-26","4","6","-8","28","2","4","-16","-8","2","-4","34","26","1","-42","-1","8","-4","24","14","6","0","6","-16","8","6","0","-2","8","-24","-24","-24","8","-2","8","3","2","-26","2","-5","0","1","1","-12","-8","-10","30","24","-2","4","-16","-2","4","4","-4","6","40","0","-36","26","8","8","0","-12","-8","-12","-4","2","32","-1","22","-28","16","-8","-14","8","-14","-12","4","12","0","1","34","8","-18","2","-34","-4","0","-2","2","-14","-8","-2","32","-8","-2","1","-44","-12","44","-6","-20","16","-10","4","-10","-14","-12","-8","42","-4","24","1","-6","10","24","4","-8","0","-6","6","-30","2","-4","2","-24","-8","-24","-2","-16","-26","-1","-4","34","-22","-8","8","4","0","28","-4","30","16","22","1","-2","-4","-24","16","0","-20","-12","-2","-25","26","22","4","-2","12","-5","6","-28","-2","8","-8","-26","-10","8","0","6","4","4","-8","-2","40","0","-1","-4","30","-13","0","-32","-4","4","-14","2","-16","-12","-6","-10","32","14","8","22","-1","20","-2","0","24","-16","2","8","-12","-4","-24","48","-18","48","1","-4","18","0","-1","-12","8","-4","-10","52","16","-36","-8","-6","-2","-12","-4","-32","-18","20","-26","-12","2","-40","-8","-12","2","-8","4","2","-24","-8","2","-6","0","-4","26","24","-4","-16","-1","42","4","-6","24","-34","-22","-8","0","2","16","-20","8","-6","-4","2","-2","-46","-6","24","-24","8","-12","-22","-2","-31","2","0","2","-4","-4","-24","-5","8","4","12","1","-4","-32","-1","-10","-42","-12","24","-2","14","8","-4","-2","12","-4","12","-4","-16","-8","24","0","-12","-8","16","8","46","20","-2","-12"],"lmfdb":"agrees","curve":{"cremona":"546c1","lmfdb":"546.b","ainvs":[1,0,1,-57,-164],"rank":1,"torsion":2}},{"label":"546.2.a.c","letter":"c","dim":1,"charpoly":["-59","1"],"traces":["1","-1","1","1","1","-1","-1","-1","1","-1","3","1","-1","1","1","1","5","-1","1","1","-1","-3","3","-1","-4","1","1","-1","5","-1","4","-1","3","-5","-1","1","-5","-1","-1","-1","-8","1","-1","3","1","-3","8","1","1","4","5","-1","6","-1","3","1","1","-5","0","1","13","-4","-1","1","-1","-3","-10","5","3","1","8","-1","-15","5","-4","1","-3","1","6","1","1","8","-2","-1","5","1","5","-3","-2","-1","1","3","4","-8","1","-1","-2","-1","3","-4","-16","-5","1","1","-1","-6","-6","1","-7","-3","-5","-1","-6","-1","3","5","-1","0","-5","-1","-2","-13","-8","4","-9","1","-18","-1","-1","1","17","3","-1","10","1","-5","-15","-3","-16","-1","8","-8","-3","1","5","15","1","-5","-16","4","-5","-1","5","3","4","-1","9","-6","6","-1","-3","-1","10","-8","3","2","-15","1","1","-5","1","-1","6","-5","4","3","0","2","-16","1","6","-1","13","-3","-5","-4","15","8","-1","-1","11","1","-20","2","-1","1","0","-3","-5","4","-10","16","-5","5","-8","-1","3","-1","3","1","5","6","8","6","-1","-1","-4","7","-15","3","-5","5","26","1","-4","6","2","1","-6","-3","-3","-5","-4","1","8","0","6","5","-12","1","22","2","1","13","1","8","-1","-4","-2","9","21","-1","9","18","5","1","-18","1","5","-1","5","-17","12","-3","6","1","-2","-10","6","-1","2","5","1","15","-12","3","-18","16","4","1","10","-8","-8","8","1","3","8","-1","8","-5","-2","-15","-6","-1","0","5","3","16","-3","-4","1","5","-16","1","13","-5","0","-3","1","-4","26","1","28","-9","-1","6","-24","-6","15","1","-6","3","5","1","4","-10","-7","8","-8","-3","34","-2","-5","15","-10","-1","-29","-1","-6","5","12","-1","-1","1","3","-6","32","5","6","-4","-1","-3","2","0","8","-2","-5","16","24","-1","-18","-6","-2","1","-15","-13","8","3","-8","5","-6","4","-32","-15","-9","-8","-5","1","-8","1","-18","-11","1","-1","-3","20","-1","-2","-18","1","15","-1","17","0","6","3","30","5","-1","-4","-30","10","-4","-16","1","5","-15","-5","3","8","-15","1","0","-3","-2","1","-16","-3","-5","-1","-22","-5","8","-6","-20","-8","-13","-6","-3","1","10","1","20","4","5","-7","3","15","-11","-3","1","5","-18","-5","-2","-26","-16","-1","13","4","-24","-6","-5","-2","1","-1","8","6","5","3","-13","3","-13","5","4","4","21","-1","10","-8","9","0","-3","-6","-4","-5","6","12","27","-1","5","-22","-3","-2","-2","-1","8","-13","10","-1","-38","-8","25","1","3","4","-8","2","8","-9","-15","-21","-6","1","-16","-9","1","-18","11","-5","15","-1","1","18","1","-1","24","-5","6","1","39","-5","-24","17","4","-12","20","3","-14","-6","0","-1","8","2","-6","10","-16","-6","3","1","41","-2","6","-5","-7","-1","-44","-15","13","12","5","-3","-6","18","-5","-16","-24","-4","1","-1","15","-10","9","8","-6","8","-1","-8","34","-1","0","-3","11","-8","-12","1","-34","-8","-20","5","2","2","18","15","-1","6","-26","1","4","0","0","-5","38","-3","-5","-16","-5","3","37","4","20","-1","-10","-5","-2","16","-27","-1","-5","-13","-8","5","41","0","-8","3","43","-1","-31","4","3","-26","2","-1","11","-28","3","9","-25","1","-9","-6","5","24","-18","6","-1","-15","8","-1","30","6","-1","-3","-1","-5","28","-1","0","-4","-4","10","3","7","17","-8","-15","8","6","3","10","-34","-5","2","-1","5","15","-15","26","10","39","1","-1","29","-4","1","-18","6","2","-5","2","-12","33","1","-15","1","-6","-1","-6","-3","-20","6","-3","-32","-16","-5","-40","-6","-4","4","-14","1","-5","3","8","-2","16","0","50","-8","6","2","12","5","-3","-16","-12","-24","30","1","-1","18","22","6","-20","2","-27","-1","1","15","-5","13","20","-8","1","-3","-30","8","-26","-5","-1","6","-42","-4","-16","32","-2","15","6","9","24","8","21","5","-5","-1","-34","8","9","-1","-24","18","7","11","5","-1","0","1","43","3","-18","-20","11","1","-16","2","5","18","-8","-1","24","-15","5","1","9","-17","-47","0","12","-6","6","-3","-13","-30","6","-5","-28","1","40","4","-2","30","-45","-10","-3","4","6","16","10","-1","-19","-5","2","15","10","5","-1","-3","1","-8","24","15","24","-1","-12","0","43","3","-19","2","-18","-1","5","16","-15","3","4","5","-12","1","-4","22","10","5","1","-8","2","6","-8","20","-15","8","-28","13","1","6","42","3","-28","-1","8","-10","-2","-1","6","-20","8","-4","18","-5","10","7","-2","-3","9","-15","34","11","-6","3","37","-1","-41","-5","0","18","-20","5","18","2","3","26","8","16","-16","1","-3","-13","20","-4","30","24","1","6","6","5","-20","2","-16","-1","29","1","-6","-8","13","-6","-17","-5","-50","-3","0","13","-8","-3","20","13","1","-5","-4","-4","1","-4","26","-21","15","1","-14","-10","28","8","-18","-9","-24","0","-1","3","47","6","15","4","-24","5","-44","-6","11","-12","15","-27","15","1","-15","-5","-6","22","-20","3","-31","2","5","2","-32","1","16","-8","4","13","-25","-10","-6","1","-7","38","-5","8","0","-25","-8","-1","-3","-3","-30","-4","34","8","-5","-2","-50","-8","-5","9"],"lmfdb":"agrees","curve":{"cremona":"546b1","lmfdb":"546.c","ainvs":[1,0,1,-8,-10],"rank":0,"torsion":1}},{"label":"546.2.a.d","letter":"d","dim":1,"charpoly":["121","1"],"traces":["1","-1","1","1","3","-1","1","-1","1","-3","3","1","1","-1","3","1","-3","-1","-7","3","1","-3","9","-1","4","-1","1","1","-9","-3","-4","-1","3","3","3","1","-7","7","1","-3","12","-1","-1","3","3","-9","0","1","1","-4","-3","1","-6","-1","9","-1","-7","9","12","3","-1","4","1","1","3","-3","14","-3","9","-3","12","-1","-7","7","4","-7","3","-1","-10","3","1","-12","-6","1","-9","1","-9","-3","-6","-3","1","9","-4","0","-21","-1","-10","-1","3","4","12","3","-13","-1","3","6","-6","1","11","-9","-7","1","-18","7","27","-9","1","-12","-3","-3","-2","1","12","-4","-3","-1","2","-1","-1","-3","-15","3","-7","-14","3","3","9","-9","-4","3","0","-12","3","1","-27","7","1","-7","-12","-4","17","7","-3","-3","-12","1","-13","10","-6","-3","9","-1","2","12","9","6","3","-1","1","9","-7","-1","-6","9","4","3","12","6","0","3","2","-1","-1","-9","-21","4","-9","0","1","21","-15","1","-4","10","3","1","-12","-3","-7","-4","14","-12","-9","-3","36","13","9","1","-21","-3","5","-6","12","6","-3","-1","-4","-11","-7","9","-3","7","26","-1","4","18","-18","-7","14","-27","3","9","24","-1","0","12","-10","3","24","3","-10","2","1","-1","3","-12","-7","4","-6","3","21","1","27","-2","-9","1","-18","1","-7","3","-9","15","12","-3","-18","7","-6","14","6","-3","2","-3","1","-9","12","9","26","4","-4","-3","-6","0","-4","12","-21","-3","12","-1","-8","27","-10","-7","-18","-1","36","7","3","12","9","4","-1","-17","12","-7","-3","3","-16","3","-13","12","18","-1","8","13","3","-10","0","6","-27","3","-6","-9","21","1","4","-2","11","-12","0","-9","-10","-6","-7","-3","42","1","-13","-1","-18","-9","-12","7","1","1","27","6","12","-9","26","-4","1","-3","-6","-12","36","-6","-3","0","24","-3","30","-2","-2","1","-21","1","8","9","12","21","-6","-4","-4","9","-3","0","-9","-1","-16","-21","2","15","-21","-1","9","4","-1","-10","-30","-3","-27","-1","-15","12","-30","3","-34","7","-7","4","18","-14","-4","12","3","9","-21","3","-13","-36","9","-13","12","-9","-18","-1","-4","21","3","3","-10","-5","0","6","-12","-12","-1","-6","3","3","18","1","-16","4","-27","11","-63","7","-1","-9","1","3","18","-7","-18","-26","-12","1","21","-4","36","-18","17","18","3","7","-28","-14","-3","27","33","-3","41","-9","-12","-24","-3","1","14","0","-13","-12","-3","10","-28","-3","-6","-24","-15","-3","-7","10","9","-2","-30","-1","-16","1","2","-3","30","12","27","7","9","-4","12","6","32","-3","3","-21","-6","-1","36","-27","1","2","9","9","-7","-1","-7","18","-39","-1","0","7","-6","-3","-33","9","-16","-15","4","-12","12","3","58","18","12","-7","12","6","-18","-14","0","-6","3","3","11","-2","2","3","33","-1","-28","9","-1","-12","63","-9","-10","-26","-21","-4","0","4","-1","3","-9","6","-15","0","-54","4","1","-12","6","21","32","3","-15","-12","36","1","38","8","-4","-27","-6","10","-18","7","3","18","-18","1","28","-36","-12","-7","6","-3","-9","-12","-7","-9","-9","-4","8","1","14","17","-6","-12","23","7","-9","3","0","-3","11","16","36","-3","27","13","17","-12","9","-18","-6","1","-29","-8","-21","-13","21","-3","29","10","5","0","6","-6","1","27","12","-3","18","6","-49","9","-3","-21","0","-1","36","-4","-4","2","9","-11","-45","12","-7","0","6","9","14","10","-3","6","-21","7","-81","3","26","-42","-3","-1","-1","13","4","1","18","18","-10","9","-18","12","33","-7","27","-1","14","-1","-6","-27","-28","-6","3","-12","-12","9","-36","-26","24","4","-18","-1","49","3","0","6","12","12","-10","-36","-10","6","-36","3","9","0","24","-24","18","3","-13","-30","-10","2","-36","2","-1","-1","1","21","3","-1","32","-8","3","-9","42","-12","-34","-21","-7","6","30","4","-36","4","-6","-9","-6","3","-4","0","21","9","51","1","38","16","27","21","-12","-2","11","-15","-9","21","12","1","-13","-9","-18","-4","33","1","-16","10","-7","30","-84","3","36","27","-9","1","-39","15","-31","-12","12","30","-18","-3","-1","34","-18","-7","36","7","0","-4","-6","-18","-21","14","27","4","6","-12","54","-3","-43","-9","2","21","6","-3","7","13","1","36","24","-9","-40","13","12","-12","27","9","-25","18","26","1","-3","4","9","-21","-4","-3","-12","-3","52","10","-6","5","3","0","-2","-6","-4","12","-63","12","44","1","-21","6","42","-3","-4","-3","12","-18","6","-1","-18","16","-8","-4","-30","27","14","-11","-10","63","-3","-7","14","1","-18","9","-3","-1","-25","-3","36","-18","36","7","2","18","3","26","0","12","0","-1","9","-21","36","4","18","-36","-1","18","6","-17","-28","-18","12","-3","-33","-7","-18","28","-3","14","-15","3","-34","-27","-16","-33","12","3","-28","-41","-13","9","12","12","-7","24","18","3","-27","-1","-34","-14","8","0","18","13","108","12","3","3","-57","-10","-7","28","0","3","-24","6","-45","24","-27","15","9","3","-15","7","-6","-10","-12","-9","-13","2","21","30","0","1","-4","16","4","-1","15","-2","-18","3","11","-30","-39","-12","-36","-27","0","-7","-9","-9","38","4","-10","-12","-21","-6","-46","-32","-7","3"],"lmfdb":"agrees","curve":{"cremona":"546d1","lmfdb":"546.d","ainvs":[1,0,1,13,182],"rank":0,"torsion":3}},{"label":"546.2.a.e","letter":"e","dim":1,"charpoly":["27","1"],"traces":["1","1","-1","1","3","-1","-1","1","1","3","1","-1","-1","-1","-3","1","7","1","1","3","1","1","-7","-1","4","-1","-1","-1","3","-3","0","1","-1","7","-3","1","-5","1","1","3","4","1","11","1","3","-7","0","-1","1","4","-7","-1","-14","-1","3","-1","-1","3","4","-3","1","0","-1","1","-3","-1","-6","7","7","-3","-12","1","5","-5","-4","1","-1","1","-10","3","1","4","-14","1","21","11","-3","1","-6","3","1","-7","0","0","3","-1","6","1","1","4","-12","-7","-7","-1","3","-14","-18","-1","-7","3","5","-1","-14","-1","-21","3","-1","4","-7","-3","-10","1","-4","0","-3","-1","10","1","-11","-3","15","-1","-1","-6","-3","7","15","7","4","-3","0","-12","-1","1","9","5","-1","-5","16","-4","7","1","7","-1","0","1","5","-10","14","3","7","1","10","4","-3","-14","7","1","1","21","1","11","2","-3","-4","1","-4","-6","8","3","22","1","-1","-7","-15","0","7","0","1","3","-15","-1","-8","6","3","1","-20","1","3","4","6","-12","-3","-7","12","-7","-7","-1","1","3","25","-14","12","-18","33","-1","0","-7","-5","3","-7","5","14","-1","4","-14","-18","-1","18","-21","1","3","-12","-1","0","4","10","-7","20","-3","-18","-10","-1","1","3","-4","-1","0","14","-3","3","-1","-7","10","-21","1","10","-11","5","-3","3","15","-4","-1","-42","-1","6","-6","2","-3","-30","7","-1","15","4","7","10","4","0","-3","6","0","-16","-12","-3","-1","-4","1","32","9","-6","5","30","-1","12","-5","-1","16","7","-4","-11","7","12","1","3","7","-32","-1","7","0","2","1","0","5","-3","-10","-28","14","3","3","18","7","7","1","-4","10","7","4","0","-3","-14","-14","-5","7","-18","1","3","1","14","21","0","1","-1","11","21","2","32","-3","2","-4","1","1","-10","-4","-36","-6","7","8","12","3","-18","22","10","1","15","-1","32","-7","4","-15","14","0","12","7","3","0","-3","1","20","3","-10","-15","-1","-1","-3","-8","11","6","34","3","-49","1","-15","-20","-30","1","-14","3","1","4","-2","6","0","-12","3","-3","-5","-7","23","12","-15","-7","-4","-7","-42","-1","-4","1","29","3","26","25","0","-14","28","12","-1","-18","1","33","-10","-1","-8","0","-9","-7","-7","-5","-19","3","1","-7","26","5","-18","14","-16","-1","19","4","4","-14","-7","-18","3","-1","-40","18","-7","-21","-23","1","23","3","0","-12","3","-1","6","0","-5","4","11","10","4","-7","-14","20","-11","-3","5","-18","-7","-10","18","-1","-32","1","-10","3","2","-4","21","-1","3","0","12","14","16","-3","-7","3","-6","-1","-36","-7","-1","10","-39","-21","-5","1","-1","10","-21","-11","0","5","-2","-3","-11","3","20","15","4","-4","0","-1","26","-42","4","-1","-4","6","-54","-6","-8","2","1","-3","25","-30","-22","7","-21","-1","28","15","1","4","3","7","10","10","15","4","-12","0","-11","-3","-7","6","39","0","-42","-16","-1","-12","14","-3","-8","-1","15","-4","-28","1","-26","32","8","9","14","-6","-14","5","-3","30","42","-1","0","12","20","-5","-42","-1","-21","16","-3","7","-1","-4","16","-11","-6","7","-30","12","13","1","3","3","0","7","-7","-32","-12","-1","-27","7","1","0","7","2","6","1","-29","0","-1","5","-35","-3","-37","-10","-25","-28","30","14","-1","3","-12","3","42","18","-9","7","-33","7","-36","1","4","-4","0","10","-43","7","45","4","5","0","-18","-3","38","-14","7","-14","-3","-5","-21","7","-14","-18","1","1","7","3","-4","1","-38","14","-6","21","18","0","-13","1","45","-1","-18","11","14","21","-4","2","-1","32","12","-3","28","2","12","-4","-42","1","-5","1","0","-10","12","-4","50","-36","-10","-6","0","7","-3","8","-20","12","30","3","7","-18","18","22","12","10","37","1","1","15","77","-1","-4","32","-3","-7","-6","4","38","-15","1","14","-26","0","48","12","-14","7","18","3","8","0","-3","-3","21","1","26","20","7","3","-32","-10","7","-15","21","-1","-4","-1","-49","-3","-10","-8","-7","11","0","6","-5","34","4","3","-12","-49","-3","1","15","-15","-31","-20","4","-30","14","1","-1","-14","42","3","36","1","0","4","-6","-2","5","6","21","0","-2","-12","-50","3","21","-3","30","-5","30","-7","11","23","1","12","-32","-15","4","-7","-4","-4","9","-7","49","-42","-10","-1","7","-4","21","1","0","29","-4","3","-20","26","-6","25","3","0","10","-14","16","28","35","12","44","-1","3","-18","22","1","40","33","4","-10","-42","-1","6","-8","-32","0","-10","-9","6","-7","6","-7","3","-5","18","-19","-30","3","-17","1","35","-7","-12","26","-24","5","-10","-18","1","14","0","-16","24","-1","-7","19","0","4","-98","4","11","-14","66","-7","12","-18","-12","3","15","-1","-14","-40","-3","18","-15","-7","-50","-21","32","-23","12","1","-20","23","-7","3","48","0","1","-12","-2","3","21","-1","-22","6","0","0","34","-5","-28","4","3","11","-11","10","-5","4","28","-7","36","-14","-45","20","-3","-11","-15","-3","-31","5","-18","-18","-24","-7","13","-10","-7","18","48","-1","-4","-32","4","1","-7","-10","-6","3","-7","2","-19","-4","-60","21","0","-1","-77","3","34","0","14","12","9","14","54","16","5","-3"],"lmfdb":"agrees","curve":{"cremona":"546e1","lmfdb":"546.e","ainvs":[1,1,1,-100484,-12372091],"rank":0,"torsion":1}},{"label":"546.2.a.f","letter":"f","dim":1,"charpoly":["-5","1"],"traces":["1","1","1","1","-1","1","1","1","1","-1","5","1","-1","1","-1","1","-3","1","-1","-1","1","5","3","1","-4","-1","1","1","9","-1","4","1","5","-3","-1","1","-11","-1","-1","-1","0","1","-5","5","-1","3","-8","1","1","-4","-3","-1","-2","1","-5","1","-1","9","4","-1","-15","4","1","1","1","5","-2","-3","3","-1","-12","1","11","-11","-4","-1","5","-1","10","-1","1","0","-14","1","3","-5","9","5","6","-1","-1","3","4","-8","1","1","-14","1","5","-4","4","-3","-15","-1","-1","-2","10","1","-9","-5","-11","1","2","-1","-3","9","-1","4","-3","-1","14","-15","0","4","9","1","2","1","-5","1","13","5","-1","-2","-1","-3","19","3","0","-1","-8","-12","-5","1","-9","11","1","-11","-4","-4","-23","-1","-3","5","-4","-1","-3","10","-2","-1","3","1","10","0","-5","-14","-21","1","1","3","-1","-5","6","9","-4","5","4","6","12","-1","14","-1","-15","3","11","4","-15","-8","1","1","3","1","12","-14","1","1","-12","5","11","-4","-2","4","9","-3","0","-15","3","-1","-5","-1","9","-2","-12","10","5","1","4","-9","11","-5","3","-11","-14","1","-4","2","18","-1","6","-3","5","9","24","-1","8","4","10","-3","-12","-1","18","14","1","-15","-1","0","1","4","-14","9","-7","1","15","2","3","1","6","-5","-11","1","9","13","12","5","2","-1","6","-2","18","-1","-22","-3","-1","19","-20","3","26","0","4","-1","-26","-8","4","-12","1","-5","0","1","-8","-9","-14","11","14","1","-4","-11","5","-4","-3","-4","-5","-23","4","-1","15","-3","0","5","-15","-4","-10","-1","-8","-3","-1","10","24","-2","45","-1","10","3","3","1","4","10","-9","0","-8","-5","10","-14","-11","-21","2","1","-5","1","2","3","20","-1","1","-5","-3","6","-16","9","14","-4","-1","5","18","4","12","6","-3","12","-4","-1","-18","14","14","-1","-11","-15","32","3","0","11","-2","4","-4","-15","9","-8","-9","1","16","1","2","3","-29","1","-5","12","-5","-14","-2","1","-9","1","13","-12","-10","5","6","11","-1","-4","-18","-2","-4","4","-1","9","-55","-3","25","0","19","-15","4","3","14","-1","0","-5","7","-1","30","9","-8","-2","12","-12","-15","10","-5","5","-2","1","28","4","-9","-9","-3","11","13","-5","1","3","-18","-11","-6","-14","-4","1","23","-4","0","2","-23","18","1","-1","-32","6","-3","-3","-35","5","9","9","-4","24","-15","-1","-2","8","-3","4","-25","10","4","-3","-2","-12","-31","-1","11","18","3","14","14","1","-16","-15","10","-1","-26","0","-27","1","-5","4","-12","-14","-4","9","-21","-7","42","1","-4","15","1","2","13","3","11","1","-1","6","15","-5","-40","-11","6","1","-17","9","-8","13","-4","12","-12","5","-14","2","4","-1","0","6","-10","-2","12","18","5","-1","-25","-22","14","-3","9","-1","-12","19","-15","-20","-9","3","10","26","11","0","-44","4","5","-1","-15","-26","-3","-8","-2","4","1","-12","-46","1","40","-5","3","0","-12","1","-38","-8","12","-9","-14","-14","-10","11","1","14","14","1","-4","-4","-12","-11","6","5","3","-4","11","-3","5","-4","-28","-5","-2","-23","-14","4","-43","-1","9","15","8","-3","-9","0","0","5","9","-15","-17","-4","3","-10","6","-1","11","-8","-5","-3","33","-1","37","10","9","24","-2","-2","-1","45","-12","-1","-30","10","-7","3","5","3","32","1","20","4","4","10","31","-9","-13","0","11","-8","30","-5","46","10","3","-14","1","-11","27","-21","-14","2","-75","1","-33","-5","-4","1","34","2","-14","3","18","20","-9","-1","-19","1","6","-5","2","-3","20","6","5","-16","0","9","0","14","24","-4","2","-1","11","5","8","18","4","4","-18","12","10","6","12","-3","5","12","-12","-4","34","-1","-15","-18","18","14","-36","14","-35","-1","1","-11","15","-15","20","32","-1","3","-10","0","-2","11","1","-2","-26","4","4","-4","-14","-15","10","9","-32","-8","-7","-9","23","1","-26","16","15","1","20","2","-9","3","3","-29","-4","1","49","-5","6","12","-3","-5","-16","-14","-11","-2","0","1","-60","-9","9","1","3","13","39","-12","12","-10","2","5","15","6","2","11","0","-1","24","-4","6","-18","55","-2","-3","-4","18","4","54","-1","35","9","-22","-55","-10","-3","5","25","-1","0","-32","19","-16","-15","-20","4","-19","3","25","14","26","-1","-3","0","21","-5","4","7","-28","-1","52","30","-26","9","-1","-8","14","-2","4","12","-33","-12","-28","-15","1","10","18","-5","-8","5","0","-2","38","1","-6","28","-8","4","50","-9","2","-9","-14","-3","9","11","-18","13","14","-5","21","1","51","3","-4","-18","48","-11","2","-6","5","-14","8","-4","-12","1","-3","23","36","-4","6","0","-5","2","-14","-23","12","18","4","1","-19","-1","-70","-32","15","6","13","-3","38","-3","0","-35","12","5","44","9","-15","9","-8","-4","-1","24","-10","-15","15","-1","14","-2","-8","8","18","-3","0","4","-1","-25","-39","10","-11","4","24","-3","16","-2","-3","-12","45","-31","19","-1","-15","11","10","18","-12","3","-5","14","3","14","-8","1","0","-16","4","-15","-51","10","30","-1","-9","-26","25","0","12","-27","-8","1","-15","-5","-2","4","10","-12","-11","-14","-10","-4","-11","9"],"lmfdb":"agrees","curve":{"cremona":"546f1","lmfdb":"546.f","ainvs":[1,0,0,714,-82908],"rank":0,"torsion":7}},{"label":"546.2.a.g","letter":"g","dim":1,"charpoly":["16","1"],"traces":["1","1","1","1","2","1","1","1","1","2","-4","1","-1","1","2","1","6","1","-4","2","1","-4","0","1","-1","-1","1","1","-6","2","-8","1","-4","6","2","1","10","-4","-1","2","-6","1","4","-4","2","0","4","1","1","-1","6","-1","10","1","-8","1","-4","-6","4","2","-6","-8","1","1","-2","-4","-8","6","0","2","0","1","-10","10","-1","-4","-4","-1","-8","2","1","-6","4","1","12","4","-6","-4","-6","2","-1","0","-8","4","-8","1","-2","1","-4","-1","10","6","-12","-1","2","10","16","1","-6","-8","10","1","2","-4","0","-6","-1","4","6","2","5","-6","-6","-8","-12","1","-16","1","4","-2","-20","-4","-4","-8","2","6","10","0","-12","2","4","0","4","1","-12","-10","1","10","14","-1","16","-4","6","-4","-16","-1","18","-8","10","2","0","1","16","-6","-8","4","-12","1","1","12","-4","4","18","-6","-1","-4","4","-6","24","2","-22","-1","-6","0","20","-8","-24","4","1","-8","0","1","-6","-2","-2","1","6","-4","20","-1","-8","10","-6","6","-12","-12","0","-1","16","2","12","10","0","16","8","1","-8","-6","-10","-8","-6","10","-8","1","-1","2","-12","-4","-6","0","-4","-6","18","-1","8","4","-8","6","-24","2","30","5","1","-6","2","-6","4","-8","4","-12","-4","1","0","-16","12","1","6","4","10","-2","-6","-20","24","-4","20","-4","-6","-8","18","2","8","6","-1","10","4","0","-10","-12","-8","2","10","4","28","0","-8","4","-6","1","19","-12","-2","-10","2","1","8","10","-4","14","0","-1","4","16","10","-4","-12","6","-12","-4","-12","-16","-16","-1","10","18","2","-8","-18","10","24","2","16","0","-24","1","1","16","-6","-6","4","-8","-8","4","10","-12","-16","1","34","1","2","12","32","-4","1","4","0","18","8","-6","2","-1","-1","-4","-6","4","0","-6","6","24","-16","2","-3","-22","5","-1","-20","-6","-28","0","-6","20","10","-8","14","-24","-12","4","6","1","16","-8","-16","0","4","1","-8","-6","4","-2","34","-2","0","1","-20","6","-16","-4","18","20","-4","-1","-30","-8","8","10","2","-6","-40","6","22","-12","10","-12","4","0","8","-1","-12","16","28","2","-30","12","4","10","-6","0","-6","16","4","8","-32","1","34","-8","-12","-6","0","-10","-20","-8","1","-6","24","10","-12","-8","14","1","2","-1","24","2","16","-12","-2","-4","-14","-6","6","0","-14","-4","-24","-6","-16","18","12","-1","-8","8","18","4","-16","-8","4","6","10","-24","-4","2","-10","30","0","5","-4","1","8","-6","16","2","-32","-6","-36","4","-8","-8","0","4","32","-12","-12","-4","-24","1","20","0","1","-16","-14","12","-10","1","-4","6","-24","4","-16","10","18","-2","-26","-6","4","-20","-1","24","-48","-4","-23","20","4","-4","6","-6","32","-8","24","18","-4","2","-46","8","-22","6","-12","-1","12","10","-6","4","24","0","-8","-10","20","-12","22","-8","-4","2","-24","10","-12","4","4","28","1","0","-22","-8","-20","4","0","-6","0","1","22","19","-6","-12","4","-2","-40","-10","-2","2","-28","1","32","8","6","10","18","-4","12","14","20","0","8","-1","2","4","-8","16","10","10","-28","-4","-6","-12","-4","6","-30","-12","-12","-4","-6","-12","28","-16","0","-16","-6","-1","-19","10","16","18","60","2","16","-8","12","-18","-32","10","-1","24","0","2","-30","16","-28","0","8","-24","8","1","-16","1","-8","16","-14","-6","-40","-6","-10","4","0","-8","-38","-8","-6","4","-8","10","0","-12","-8","-16","24","1","18","34","-1","1","-38","2","-2","12","-12","32","36","-4","20","1","-6","4","-10","0","20","18","-4","8","-24","-6","-36","2","18","-1","50","-1","-40","-4","8","-6","10","4","-6","0","-8","-6","0","6","8","24","-24","-16","16","2","-12","-3","30","-22","6","5","28","-1","1","-20","24","-6","2","-28","2","0","32","-6","40","20","4","10","-8","-8","28","14","4","-24","16","-12","16","4","-4","6","32","1","-26","16","0","-8","26","-16","-6","0","12","4","-4","1","-50","-8","6","-6","18","4","8","-2","10","34","24","-2","0","0","-6","1","36","-20","-12","6","24","-16","2","-4","6","18","20","20","-30","-4","24","-1","-6","-30","40","-8","0","8","18","10","-30","2","20","-6","8","-40","32","6","-16","22","-1","-12","-2","10","32","-12","4","4","20","0","-38","8","-10","-1","6","-12","-24","16","-8","28","-4","2","7","-30","10","12","2","4","5","10","28","-6","0","0","-22","-6","-8","16","-18","4","28","8","-6","-32","56","1","36","34","19","-8","32","-12","8","-6","-2","0","-12","-10","-6","-20","2","-8","-18","1","12","-6","8","24","0","10","-16","-12","-4","-8","-16","14","48","1","0","2","48","-1","60","24","4","2","-44","16","12","-12","10","-2","-40","-4","-16","-14","-12","-6","-20","6","-16","0","-12","-14","0","-4","-10","-24","-12","-6","34","-16","-4","18","-16","12","-48","-1","-22","-8","10","8","-54","18","0","4","2","-16","12","-8","10","4","-18","6","-14","10","0","-24","24","-4","10","2","33","-10","16","30","-12","0","16","5","-24","-4","4","1","-12","8","1","-6","-30","16","24","2","-6","-32","4","-6","12","-36","4","4","0","-8","40","-8","-8","0","40","4","2","32","10","-12"],"lmfdb":"agrees","curve":{"cremona":"546g1","lmfdb":"546.g","ainvs":[1,0,0,-7,-7],"rank":0,"torsion":2}},{"label":"546.2.a.h","letter":"h","dim":2,"charpoly":["4816","-139","1"],"traces":["2","-2","-2","2","-1","2","2","-2","2","1","3","-2","-2","-2","1","2","-7","-2","3","-1","-2","-3","-3","2","19","2","-2","2","9","-1","16","-2","-3","7","-1","2","-1","-3","2","1","-2","2","3","3","-1","3","0","-2","2","-19","7","-2","20","2","27","-2","-3","-9","16","1","-17","-16","2","2","1","3","10","-7","3","1","0","-2","-3","1","-19","3","3","-2","10","-1","2","2","6","-2","-25","-3","-9","-3","-28","1","-2","-3","-16","0","27","2","0","-2","3","19","-10","-7","13","2","1","-20","-14","-2","-7","-27","1","2","-12","3","-27","9","-2","-16","-7","-1","11","17","2","16","-33","-2","-26","-2","-3","-1","-9","-3","3","-10","1","7","3","-3","8","-1","0","0","-3","2","-33","3","-2","-1","30","19","5","-3","-7","-3","-8","2","11","-10","-20","1","-3","-2","10","-2","-27","-6","-11","2","2","25","3","3","-16","9","19","3","-16","28","24","-1","8","2","17","3","29","16","-39","0","-2","-27","-3","-2","-22","0","-1","2","10","-3","-9","-19","-10","10","9","7","-56","-13","-3","-2","33","-1","25","20","0","14","27","2","16","7","3","27","7","-1","-2","-2","19","12","-26","-3","8","27","-3","-9","26","2","0","16","-10","7","20","1","0","-11","-2","-17","-1","-2","-3","-16","-6","33","-5","2","-33","26","25","2","-28","3","-1","1","9","9","56","3","-10","-3","28","10","12","-1","42","-7","2","-3","0","3","-20","-8","16","1","0","0","-8","0","-27","3","-2","-2","19","33","0","-3","-12","2","-8","1","-3","-30","3","-19","3","-5","10","3","37","7","12","3","-13","8","22","-2","-10","-11","-1","10","-18","20","-15","-1","14","3","-39","2","-19","-10","7","2","0","27","-14","6","-1","11","-62","-2","-19","-2","12","-25","24","-3","2","-3","27","16","-20","-9","4","-19","2","-3","24","16","0","-28","7","-24","-64","1","-5","-8","-11","-2","87","-17","-36","-3","-2","-29","20","-16","38","39","33","0","-9","2","-36","27","26","3","53","2","27","22","3","0","-4","1","39","-2","9","-10","-62","3","-28","9","-3","19","24","10","-16","-10","-1","-9","27","-7","-37","56","-3","13","16","3","54","2","-8","-33","-3","1","-24","-25","0","-20","-38","0","-17","-14","3","-27","-38","-2","2","-16","33","-7","-33","-3","-7","-27","2","-7","30","1","14","2","-30","2","7","-19","-60","-12","-5","26","1","3","-22","-8","7","-27","17","3","53","9","8","-26","-45","-2","10","0","-11","-16","33","10","0","-7","20","-20","-9","-1","1","0","3","11","-114","2","24","17","-10","1","2","2","-3","3","27","16","0","6","20","-33","11","5","-22","-2","-52","33","-2","-26","33","-25","-3","-2","-3","28","-35","-3","0","1","16","-1","-1","-9","72","-9","-19","-56","-56","-3","-13","10","16","3","2","-28","-50","-10","-24","-12","3","1","17","-42","-8","7","-25","-2","-8","3","-17","0","-15","-3","10","20","-29","8","-14","-16","-3","-1","39","0","-33","0","6","8","2","0","-24","27","-44","-3","3","2","0","2","-48","-19","22","-33","6","0","30","3","1","12","18","-2","24","8","-10","-1","16","3","-25","30","9","-3","51","19","2","-3","10","5","80","-10","41","-3","-9","-37","0","-7","25","-12","56","-3","-19","13","67","-8","3","-22","-28","2","64","10","-33","11","-25","1","1","-10","-25","18","70","-20","-2","15","0","1","0","-14","5","-3","-27","39","24","-2","24","19","-16","10","27","-7","-81","-2","-3","0","-30","-27","-20","14","-7","-6","27","1","15","-11","2","62","3","2","25","19","-19","2","-28","-12","0","25","26","-24","-31","3","141","-2","-8","3","-20","-27","40","-16","3","20","-4","9","64","-4","-26","19","0","-2","27","3","0","-24","-10","-16","-16","0","10","28","-24","-7","-27","24","-20","64","-14","-1","13","5","0","8","114","11","33","2","2","-87","-39","17","14","36","1","3","-42","2","30","29","3","-20","38","16","-72","-38","6","-39","-14","-33","-40","0","5","9","-31","-2","-40","36","33","-27","62","-26","-7","-3","-25","-53","-16","-2","43","-27","28","-22","33","-3","152","0","1","4","-60","-1","0","-39","-9","2","137","-9","-13","10","-56","62","-12","-3","17","28","10","-9","14","3","0","-19","-28","-24","81","-10","-27","16","-12","10","-52","1","15","9","-42","-27","-62","7","33","37","-2","-56","18","3","-20","-13","0","-16","-45","-3","31","-54","20","-2","-7","8","-23","33","-16","3","76","-1","11","24","0","25","-1","0","11","20","8","38","-27","0","-10","17","27","14","8","-3","-40","27","2","38","14","2","-106","-2","-19","16","-42","-33","-10","7","0","33","-33","3","72","7","12","27","-71","-2","11","7","8","-30","-36","-1","-26","-14","3","-2","0","30","-12","-2","-3","-7","72","19","-70","60","-3","12","-118","5","56","-26","-10","-1","-37","-3","66","22","-37","8","-9","-7","-10","27","-12","-17","0","-3","-38","-53","13","-9","14","-8","3","26","-22","45","-123","2","64","-10","10","0","72","11","60","16","1","-33","-57","-10","3","0","18","7","18","-20","-27","20","15","9","3","1","66","-1","-14","0","68","-3","63","-11","39","114","-28","-2","8","-24","19","-17","25","10","-42","-1","-7","-2","39","-2","52","3","0","-3","-33","-27","-18","-16","14","0","-81","-6","-56","-20","1","33"],"lmfdb":"agrees"},{"label":"546.2.a.i","letter":"i","dim":2,"charpoly":["5240","-161","1"],"traces":["2","2","-2","2","-1","-2","2","2","2","-1","5","-2","2","2","1","2","1","2","5","-1","-2","5","3","-2","11","2","-2","2","-1","1","0","2","-5","1","-1","2","15","5","-2","-1","-6","-2","-1","5","-1","3","-16","-2","2","11","-1","2","-4","-2","-23","2","-5","-1","-4","1","9","0","2","2","-1","-5","-2","1","-3","-1","-16","2","-9","15","-11","5","5","-2","6","-1","2","-6","-14","-2","-21","-1","1","5","8","-1","2","3","0","-16","-23","-2","8","2","5","11","6","-1","-13","2","1","-4","2","-2","25","-23","-15","2","-16","-5","19","-1","2","-4","1","1","11","9","6","0","-21","2","-26","2","1","-1","-21","-5","5","-2","1","1","-31","-3","-12","-1","16","-16","5","2","21","-9","-2","15","18","-11","-3","5","1","5","0","-2","21","6","4","-1","3","2","-2","-6","23","-14","13","-2","2","-21","5","-1","-36","1","11","5","4","8","4","-1","-8","2","-9","3","13","0","23","-16","-2","-23","19","-2","10","8","1","2","6","5","25","11","2","6","-1","-1","44","-13","3","2","33","1","-43","-4","16","2","-61","-2","0","25","9","-23","1","-15","6","2","11","-16","30","-5","12","19","-5","-1","2","2","8","-4","-6","1","32","1","-24","11","-2","9","-1","6","5","0","14","-21","-25","2","-13","-26","21","2","-12","1","15","-1","-1","-21","-28","-5","2","5","-8","-2","16","1","-14","1","-2","-31","48","-3","4","-12","0","-1","0","16","8","-16","23","5","-6","2","-13","21","-8","-9","0","-2","-80","15","-5","18","3","-11","-1","-3","-6","5","-25","1","12","5","13","0","42","-2","6","21","-1","6","2","4","-23","-1","-2","3","23","2","11","-2","-25","-6","-16","23","26","-14","15","13","42","-2","-27","2","16","-21","0","5","2","-1","-19","-36","8","1","60","11","-2","5","16","4","8","8","-1","4","28","-1","-5","-8","-11","2","25","-9","-8","3","-6","13","-4","0","-26","23","21","-16","-1","-2","16","-23","26","19","-11","-2","-23","10","-1","8","28","1","-19","2","21","6","38","5","-24","25","-5","11","-16","2","0","6","-1","-1","17","-1","17","44","31","-13","-4","3","-34","2","12","33","49","1","-12","-43","-16","-4","26","16","9","2","-5","-61","14","-2","-10","0","-21","25","-13","9","-33","-23","2","1","-38","-15","-86","6","-18","2","-35","11","-56","-16","3","30","-1","-5","14","12","-1","19","17","-5","-11","-1","0","2","-41","2","-2","8","-21","-4","59","-6","48","1","-4","32","-17","1","15","-24","-3","11","-86","-2","-16","9","2","-1","66","6","-21","5","-23","0","-16","14","-28","-21","-13","-25","-54","2","-44","-13","-2","-26","33","21","-9","2","-5","-12","27","1","-40","15","36","-1","-9","-1","-16","-21","-11","-28","0","-5","-21","2","-4","5","-6","-8","-42","-2","-4","16","5","1","-7","-14","8","1","-33","-2","-32","-31","9","48","-23","-3","6","4","-13","-12","-62","0","-1","-1","-23","0","11","16","90","8","2","-16","52","23","-28","5","-19","-6","-4","2","8","-13","-10","21","-14","-8","-10","-9","-1","0","6","-2","0","-80","-6","15","-8","-5","-21","18","-25","3","29","-11","-18","-1","-2","-3","-108","-6","-17","5","1","-25","-16","1","33","12","-44","5","-17","13","21","0","-3","42","8","-2","-24","6","-33","21","-13","-1","17","6","43","2","54","4","2","-23","-16","-1","-72","-2","35","3","61","23","-16","2","72","11","0","-2","13","-25","31","-6","-9","-16","-6","23","-24","26","-1","-14","-23","15","19","13","-6","42","43","-2","41","-27","-11","2","12","16","8","-21","-30","0","-9","5","-5","2","-12","-1","-4","-19","48","-36","5","8","88","1","-44","60","-2","11","32","-2","17","5","-8","16","6","4","52","8","6","8","0","-1","-23","4","-32","28","2","-1","-13","-5","24","-8","-26","-11","-25","2","2","25","61","-9","54","-8","1","3","-46","-6","42","13","-5","-4","-18","0","32","-26","-14","23","2","21","44","-16","25","-1","-19","-2","-16","16","13","-23","78","26","25","19","-21","-11","-4","-2","57","-23","12","10","1","-1","0","8","-15","28","-56","1","-40","-19","1","2","51","21","-3","6","28","38","-16","5","9","-24","-2","25","-94","-5","-8","11","8","-16","-43","2","19","0","-16","6","28","-1","-63","-1","14","17","42","-1","59","17","2","44","70","31","36","-13","-48","-4","61","3","-15","-34","-4","2","1","12","-27","33","0","49","44","1","-37","-12","0","-43","-1","-16","11","-4","-8","26","43","16","-6","9","-23","2","-8","-5","52","-61","6","14","-58","-2","18","-10","13","0","-26","-21","-2","25","8","-13","-21","9","52","-33","0","-23","41","2","47","1","80","-38","-16","-15","-26","-86","5","6","-40","-18","80","2","-3","-35","0","11","-2","-56","1","-16","86","3","0","30","6","-1","37","-5","6","14","25","12","-21","-1","-42","19","-12","17","-16","-5","62","-11","-13","-1","2","0","5","2","-42","-41","-73","2","32","-2","-6","8","-100","-21","32","-4","1","59","41","-6","-9","48","-2","1","10","-4","11","32","23","-17","-31","1","-62","15","2","-24","36","-3","-33","11","-23","-86","84","-2","-12","-16","-11","9","-13","2","102","-1","25","66","-57","6","-44","-21","16","5","-63","-23","-90","0","-26","-16","49","14","0","-28","-15","-21"],"lmfdb":"agrees"},{"label":"546.2.a.j","letter":"j","dim":2,"charpoly":["3776","131","1"],"traces":["2","2","2","2","3","2","-2","2","2","3","1","2","2","-2","3","2","-1","2","3","3","-2","1","-7","2","3","2","2","-2","1","3","-4","2","1","-1","-3","2","-11","3","2","3","6","-2","-17","1","3","-7","0","2","2","3","-1","2","8","2","-7","-2","3","1","-12","3","1","-4","-2","2","3","1","-6","-1","-7","-3","16","2","-3","-11","3","3","-1","2","-14","3","2","6","26","-2","-27","-17","1","1","20","3","-2","-7","-4","0","-21","2","-4","2","1","3","-2","-1","11","2","-3","8","-26","2","-5","-7","-11","-2","8","3","-19","1","2","-12","1","3","-13","1","6","-4","15","-2","-18","2","-17","3","-15","1","-3","-6","3","-1","-3","-7","24","-3","0","16","1","2","27","-3","2","-11","6","3","3","3","-1","-1","28","2","-27","-14","8","3","7","2","-42","6","-7","26","17","-2","2","-27","3","-17","24","1","-3","1","-12","20","0","3","16","-2","1","-7","-25","-4","25","0","-2","-21","1","2","14","-4","3","2","30","1","-15","3","-6","-2","-1","-1","-8","11","-7","2","27","-3","-11","8","16","-26","-17","2","4","-5","-3","-7","-1","-11","-6","-2","3","8","-6","3","40","-19","-1","1","30","2","0","-12","-14","1","32","3","-28","-13","2","1","3","6","3","-4","26","15","5","-2","5","-18","-27","2","8","-17","11","3","1","-15","-44","1","46","-3","20","-6","24","3","18","-1","-2","-3","-24","-7","-12","24","-4","-3","16","0","20","16","-21","1","-6","2","43","27","-4","-3","0","2","16","-11","1","6","-7","3","17","3","-2","3","27","-1","36","-1","11","28","-34","2","14","-27","-3","-14","14","8","-25","3","-26","7","75","2","3","-42","-5","6","0","-7","2","26","-11","17","-26","-2","13","2","8","-27","-36","3","-2","-17","-19","24","-40","1","32","-3","2","1","28","-12","24","20","1","0","-4","3","43","16","-13","-2","-13","1","-32","-7","6","-25","-8","-4","6","25","15","0","1","-2","52","-21","-18","1","-7","2","7","14","-17","-4","-8","3","29","2","-15","30","-38","1","-36","-15","-3","3","0","-6","-4","-2","3","-1","3","-1","19","-8","-3","11","12","-7","22","2","24","27","-61","-3","-24","-11","0","8","-78","16","-1","-26","1","-17","-42","2","-38","4","27","-5","15","-3","15","-7","2","-1","14","-11","30","-6","6","-2","9","3","20","8","3","-6","-3","3","30","40","-1","-19","-19","-1","-5","1","28","30","-19","2","6","0","-27","-12","-17","-14","-72","1","8","32","11","3","-11","-28","7","-13","62","2","-16","1","-42","3","-26","6","-77","3","-7","-4","-16","26","72","15","17","5","2","-2","-20","5","2","-18","13","-27","3","2","3","8","-9","-17","0","11","24","3","-7","1","60","-15","-3","-44","-100","1","-13","46","-12","-3","6","20","-22","-6","0","24","1","3","-37","18","16","-1","-67","-2","-56","-3","1","-24","-75","-7","14","-12","-25","24","18","-4","-17","-3","25","16","25","0","-22","20","-2","16","0","-21","20","1","1","-6","-36","2","-60","43","14","27","-26","-4","-30","-3","3","0","2","2","-108","16","30","-11","-24","1","27","6","-15","-7","39","3","-30","17","-6","3","-28","-2","-41","3","-1","27","0","-1","19","36","-8","-1","-5","11","51","28","-7","-34","-20","2","16","14","27","-27","31","-3","-17","-14","-11","14","-10","8","2","-25","16","3","-24","-26","53","7","-17","75","-12","2","-40","3","4","-42","-5","-5","-31","6","-3","0","18","-7","16","2","-1","26","21","-11","-29","17","-6","-26","-25","-2","-47","13","3","2","-28","8","4","-27","-6","-36","83","3","-13","-2","40","-17","8","-19","0","24","-1","-40","36","1","48","32","30","-3","-4","2","9","1","0","28","2","-12","-16","24","-14","20","-20","1","-7","0","32","-4","78","3","-11","43","-28","16","78","-13","15","-2","2","-13","-17","1","-42","-32","3","-7","14","6","10","-25","3","-8","-18","-4","-76","6","26","25","26","15","4","0","5","1","47","-2","36","52","5","-21","2","-18","5","1","-27","-7","-12","2","-37","7","8","14","77","-17","96","-4","11","-8","60","3","8","29","1","2","-49","-15","-13","30","-44","-38","-8","1","1","-36","46","-15","38","-3","0","3","20","0","7","-6","19","-4","24","-2","28","3","79","-1","18","3","-46","-1","-51","19","-2","-8","70","-3","-24","11","-24","12","25","-7","65","22","-12","2","-1","24","85","27","-4","-61","28","-3","19","-24","16","-11","3","0","13","8","20","-78","47","16","-30","-1","-21","-26","-36","1","28","-17","-6","-42","-10","2","70","-38","43","4","10","27","-6","-5","-4","15","-15","-3","-64","15","0","-7","7","2","-1","-1","16","14","-72","-11","18","30","1","-6","0","6","68","-2","-7","9","100","3","-106","20","17","8","-10","3","-48","-6","-2","-3","39","3","30","30","27","40","15","-1","30","-19","36","-19","16","-1","-42","-5","11","1","10","28","3","30","-34","-19","29","2","-28","6","14","0","-68","-27","-4","-12","-3","-17","5","-14","-3","-72","14","1","-2","8","61","32","-25","11","3","3","82","-11","-26","-28","72","7","-39","-13","75","62","-12","2","-24","-16","3","1","-33","-42","10","3","-5","-26","19","6","28","-77","0","3","51","-7","26","-4","2","-16","37","26","32","72","-11","15"],"lmfdb":"agrees"}],"seconds":0.599,"computed":"atlas","estimate":{"seconds":0.933,"low":0.569,"high":1.613,"bytes":2261997}}