{"label":"155.2.a","level":155,"weight":2,"dims":{"new":11,"cusp":15,"eisenstein":3,"modsym":33},"old":[[31,2,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 31, 155]: [0, 1, 3, 18] (certified at ell = 2147482921)","T = [(2, 1), (3, 1)]; h of degree 11 = 1 x 11 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"155.2.a.a","letter":"a","dim":1,"charpoly":["3","1"],"traces":["1","-2","-1","2","1","2","-2","0","-2","-2","2","-2","-6","4","-1","-4","-7","4","-5","2","2","-4","4","0","1","12","5","-4","0","2","1","8","-2","14","-2","-4","-7","10","6","0","-3","-4","9","4","-2","-8","-2","4","-3","-2","7","-12","9","-10","2","0","5","0","-5","-2","-8","-2","4","-8","-6","4","8","-14","-4","4","-3","0","-1","14","-1","-10","-4","-12","0","-4","1","6","-11","4","-7","-18","0","0","10","4","12","8","-1","4","-5","-8","18","6","-4","2","17","-14","-16","0","2","-18","-2","10","-5","-4","7","8","-6","-10","4","0","12","10","14","0","-7","16","3","2","1","-8","8","0","-9","12","7","-4","10","-16","5","0","3","8","0","-4","2","6","-12","8","0","2","3","-14","-15","2","12","0","14","8","1","12","-22","0","-9","8","-8","-2","-16","-6","-2","22","13","0","23","14","10","18","-6","0","-2","-8","5","-20","-10","-4","-18","-24","8","0","-7","2","-14","-4","-10","10","-8","8","-6","-36","6","-6","-22","8","10","0","-8","-34","0","14","-3","32","-8","24","-10","-4","-28","18","3","4","9","0","-2","10","1","4","42","-14","19","-16","-2","12","28","10","0","-8","4","0","-6","-24","-2","-10","0","-28","10","4","2","14","-16","-16","-3","-6","30","0","11","-2","2","8","8","-16","7","16","-12","18","14","-12","0","-14","-21","0","9","-20","-10","16","0","-10","-28","28","-12","-6","2","-8","-7","0","-2","0","27","-4","-26","-6","5","24","6","-16","32","0","-18","-2","-16","-6","-5","0","10","30","-24","-2","-18","-24","-17","20","-8","-28","-2","-8","16","-2","-3","0","-11","44","4","0","-12","18","0","-8","2","16","35","2","-6","32","5","0","4","4","32","-22","14","-26","8","-8","13","-46","6","-14","2","-20","20","0","-4","12","-12","0","-5","4","-30","16","34","-10","-3","20","-14","20","20","0","6","36","7","24","-1","-16","13","-16","6","14","-18","-2","-16","28","-1","0","0","20","-5","-10","-8","16","9","0","-4","12","-18","36","10","-12","-28","0","-7","44","0","-8","-22","-20","-10","-4","22","16","-6","34","1","0","-14","0","0","6","-3","-32","10","16","-11","-48","0","20","5","4","-33","56","4","0","-7","-6","16","-4","12","-18","-13","-20","-6","4","0","-10","-20","-2","-15","0","6","-84","-26","14","10","-38","15","16","10","4","-6","-12","-12","-56","12","0","-2","0","-35","8","-18","-8","-16","0","-1","12","28","24","-16","4","22","0","18","0","-5","28","-18","-20","-40","-8","42","-4","8","-14","18","32","-7","0","16","6","12","6","0","-60","-4","-4","6","-22","40","2","-13","-4","-36","0","17","-16","-23","16","20","-14","2","-32","-25","24","-16","-18","-4","-28","6","0","27","0","19","14","2","42","-7","8","-7","-18","10","20","18","20","-2","0","10","0","-6","10","-38","56","18","-56","-5","24","38","6","16","-4","0","0","0","14","7","0","-2","4","-54","8","14","-54","24","4","-6","52","-2","0","0","-10","-8","-24","8","-12","4","16","-32","-64","6","0","22","36","18","0","12","32","-12","6","-5","10","22","28","24","-20","14","-30","-10","48","40","0","2","36","-16","24","-7","34","8","-40","0","16","12","28","19","4","3","0","-2","-32","-40","2","20","6","-20","-24","1","22","10","-44","49","-8","32","0","28","24","8","-18","18","0","6","0","-8","-4","19","-16","-9","-70","-37","0","-10","12","2","-32","4","-10","7","12","2","-8","15","-4","-23","-64","-42","0","10","-28","0","26","-19","-16","-16","16","19","-26","5","46","43","-12","-36","0","-28","-4","14","20","3","-40","0","-36","-54","8","27","-12","8","24","0","0","21","10","6","-4","-18","60","35","-16","2","-68","-34","10","30","6","0","0","4","28","-12","-20","-10","-40","-20","8","32","-12","-2","-36","0","-14","-12","0","13","2","-63","16","4","-26","3","32","16","-12","-50","-14","-30","36","9","0","-15","32","22","-28","4","2","-8","8","-2","0","12","-20","43","10","-8","0","12","16","10","-16","14","-18","30","-16","-5","8","12","-12","-6","36","1","0","-14","-20","15","12","-6","56","0","12","-22","14","28","-44","21","0","12","0","48","44","-9","20","-42","20","14","8","-20","-44","-2","-16","-8","12","0","0","0","-2","17","0","28","28","-16","-28","-45","0","-24","-6","-18","6","-11","0","-2","-20","-27","-16","-10","22","7","48","21","0","13","-20","5","-10","-15","0","-29","66","-27","-56","23","-8","14","-36","26","14","-28","6","4","-32","10","0","-42","-24","-50","18","-6","26","-1","40","-6","12","-32","-4","0","0","-48","0","-36","40","-2","2","18","30","16","-8","32","-12","-11","84","5","52","48","0","-16","-20","2","38","10","-30","-10","0","24","-20","0","-4","-63","12","18","0","-18","24","-12","56","-34","-24","-38","-20","-22","4","8","0","-14","70","-25","0","2","36","18","8","-7","32","32","0","40","2","15","-12","3","-56","-14","0","18","32","11","-4","-18","-44","-12","20","-10","-36","3","0","6","10","12","0","-21","36","-8","20","0","80","-6","8","1","-84","4","4","-6","-16","48","0","-35","-36","57","-32","0","14","6","32","-42","-32","20","-6","10","-24","4","0","-22","0","-4","60","36","8","-38","8","-32","-12","10","22","-12","-80","-35","0"],"lmfdb":"agrees","curve":{"cremona":"155a1","lmfdb":"155.a","ainvs":[0,-1,1,10,6],"rank":1,"torsion":5},"derived":{"al":[[5,-1],[31,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"155.2.a.b","letter":"b","dim":1,"charpoly":["-1","1"],"traces":["1","-1","2","-1","-1","-2","4","3","1","1","4","-2","0","-4","-2","-1","-8","-1","4","1","8","-4","2","6","1","0","-4","-4","-6","2","1","-5","8","8","-4","-1","-4","-4","0","-3","-6","-8","-6","-4","-1","-2","8","-2","9","-1","-16","0","-12","4","-4","12","8","6","-4","2","10","-1","4","7","0","-8","8","8","4","4","0","3","-4","4","2","-4","16","0","0","1","-11","6","2","-8","8","6","-12","12","14","1","0","-2","2","-8","-4","-10","-18","-9","4","-1","10","16","8","0","-8","12","-4","4","10","4","-8","-4","-18","-8","-2","6","0","4","-32","-6","5","-10","-12","-1","-1","-4","2","3","-12","0","-4","-8","16","-8","4","-24","12","-4","0","4","16","0","0","-1","6","4","18","4","6","-2","0","12","-8","-16","-1","0","14","0","-24","5","8","11","-16","6","-8","-2","14","24","-13","-8","4","6","6","12","4","-4","-8","-14","4","1","-18","0","20","6","4","-2","-32","-8","-16","4","8","14","-18","18","0","-9","-8","-4","-20","3","16","-10","-24","16","6","-8","2","0","16","8","20","12","0","4","6","-12","4","-10","-8","4","0","8","-26","-20","1","18","8","-8","18","2","32","-18","6","0","-8","4","0","32","20","2","-10","-5","-10","-10","-9","12","0","3","4","1","16","-4","8","-2","16","-17","-18","12","-16","0","-6","4","6","24","12","-16","28","-8","6","-4","-4","8","0","-12","4","-4","-4","0","1","-12","6","-16","16","0","-8","0","-24","-5","47","-6","-36","4","22","-18","4","-12","-16","-6","0","-2","-24","0","20","-4","-10","8","28","-16","16","1","24","0","-8","-14","-4","0","-6","24","-24","-7","-8","-8","-32","11","0","16","20","-18","32","8","8","-2","-4","-14","-8","-8","-8","13","-36","-8","4","-4","8","-18","-4","-6","6","12","22","-4","0","-20","-16","8","0","-14","-64","-4","-8","-3","-3","18","10","0","4","-20","22","-2","-6","-4","-48","-2","14","32","-2","24","0","16","28","4","4","-8","18","6","-16","18","-6","18","-10","0","-16","27","-8","8","0","-4","26","20","32","-1","2","-16","0","-10","11","24","-16","-48","-30","-6","24","-8","-16","-2","-2","0","0","-16","4","8","-18","-20","8","-36","-8","0","40","4","0","-6","40","4","24","-4","12","-10","8","8","0","-12","9","0","-4","8","-14","26","12","28","-22","-1","-24","18","0","-8","0","24","-20","-18","32","2","-18","-32","2","6","-2","-6","-28","0","32","8","28","-12","-24","0","4","32","-12","-20","16","10","0","10","16","-5","18","10","-22","30","-32","9","0","12","48","0","-4","-1","0","-4","28","1","28","-16","0","12","-10","-8","-26","-2","10","-16","-16","11","-16","18","-8","12","32","16","12","0","-18","6","22","4","8","-6","-8","-8","-19","-12","-4","-16","0","-28","4","24","8","-6","36","-4","-38","4","-36","40","-10","0","8","-12","10","-4","-24","12","0","4","8","0","-16","-1","0","4","-64","-6","24","-16","18","-16","-44","0","-6","8","-32","0","16","24","2","7","10","-47","-36","-6","8","36","-48","-12","0","-22","42","-18","4","-4","-16","4","-30","16","32","-6","-40","0","-40","6","38","24","8","0","-5","-20","-4","-20","-48","10","0","8","-8","-28","12","48","-22","-16","-4","1","-8","-24","56","0","1","8","32","-14","32","4","20","0","40","6","-2","24","0","24","0","-3","-10","8","-26","-8","12","32","-14","-33","-16","0","8","16","-46","-20","4","6","-4","-32","12","8","-38","-8","0","6","-16","4","-12","-14","-52","8","40","-40","28","8","-4","13","-16","36","-72","24","16","-4","28","-4","-12","-8","36","6","0","4","12","-6","16","-6","0","-36","48","-22","12","-4","-18","0","-16","28","-16","16","40","8","-30","0","0","42","2","64","0","-4","40","8","-52","1","32","3","-20","18","-6","-10","-12","0","13","-4","48","-20","34","-22","-18","-10","32","6","16","-4","0","48","6","6","-6","-14","2","32","-16","2","16","-8","32","0","0","16","16","-28","16","-12","42","-4","40","-8","8","-18","0","-34","10","16","-36","18","24","6","1","-54","-32","10","-24","0","0","16","24","-9","-14","8","-14","8","12","0","-72","12","0","-26","24","20","-12","-32","-64","-5","14","-2","-16","-16","-8","0","12","30","30","-11","-52","24","-8","16","16","16","-24","30","0","-6","42","-24","-38","24","8","16","-42","-2","-10","2","-8","0","-72","0","-14","-16","-4","-4","48","-24","7","18","12","-20","13","-8","20","12","32","8","-8","0","34","-40","-4","-12","30","0","-20","-6","-48","-40","-38","20","-6","-24","94","-4","0","-12","0","30","-18","-8","-4","8","18","0","44","4","-50","-9","-26","0","8","4","0","-24","8","14","-44","26","32","-12","-4","12","0","22","-6","-1","96","24","-48","-54","18","0","36","-8","10","0","-40","-8","8","20","-20","-18","-16","-32","-16","-6","56","18","0","-32","-4","-2","8","30","50","2","36","-6","48","28","32","0","-42","-32","-16","8","6","-28","-12","4","16","24","18","0","0","-4","-12","-96","36","12","-8","-20","-48","-16","48","-14","1","0","-4","10","18","-16","-54","15","-64","-18","-12","10","0","22","0","-10","-54","32","56","9","10","0","-10","-36","8","-48","64","0","-12","4","52","-5","16","0","20","-4","30","-28","16","-3"],"lmfdb":"agrees","curve":{"cremona":"155b1","lmfdb":"155.b","ainvs":[1,1,1,-1,-2],"rank":0,"torsion":2},"derived":{"al":[[5,1],[31,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"155.2.a.c","letter":"c","dim":1,"charpoly":["1","1"],"traces":["1","0","-1","-2","-1","0","0","0","-2","0","-4","2","-6","0","1","4","5","0","-1","2","0","0","8","0","1","0","5","0","-10","0","-1","0","4","0","0","4","1","0","6","0","-3","0","-7","8","2","0","-6","-4","-7","0","-5","12","5","0","4","0","1","0","11","-2","-12","0","0","-8","6","0","-2","-10","-8","0","9","0","-9","0","-1","2","0","0","-10","-4","1","0","9","0","-5","0","10","0","0","0","0","-16","1","0","1","0","-14","0","8","-2","-7","0","8","0","0","0","-2","-10","15","0","-1","0","-4","0","-8","20","12","0","0","0","5","0","3","2","-1","0","-8","0","7","0","-1","-8","0","0","-5","0","3","0","2","0","6","0","24","-8","10","0","7","-2","1","0","10","0","-10","0","1","-12","0","0","-5","0","0","0","24","6","-4","0","-15","0","23","0","2","14","4","0","0","-16","-11","0","-4","-4","-18","0","12","0","-1","0","-20","12","0","0","4","8","14","0","-6","14","-22","0","-8","0","2","0","0","10","3","0","-16","-24","4","0","20","-10","-9","0","7","0","0","0","9","-8","-30","0","-17","0","-2","0","-10","-2","-14","0","0","0","16","0","6","-22","10","0","6","4","4","0","-16","24","7","0","6","0","-9","0","-22","0","-32","0","5","16","10","0","0","-12","20","0","-9","0","-5","0","0","4","6","0","-14","20","0","0","-4","16","9","0","2","0","7","0","-6","-18","-1","0","0","0","8","0","14","18","6","0","-11","0","-20","0","-48","2","0","0","7","-4","12","0","20","0","-8","0","-7","0","29","0","0","20","32","0","40","8","2","0","-5","-2","-6","0","-15","0","0","0","12","-18","-2","0","2","0","-19","0","4","10","4","0","0","0","8","0","8","-20","-29","0","-30","0","-6","0","-9","0","0","0","16","0","-18","0","-5","0","9","0","25","32","6","0","0","-2","-26","0","1","0","60","0","-5","-2","8","0","1","0","0","0","14","28","-30","0","40","0","1","0","10","-16","-2","0","0","4","-16","0","6","14","-1","0","-4","0","-30","0","-3","-16","0","0","-9","0","-2","0","-15","0","-1","0","12","0","5","0","0","4","-24","0","-33","20","14","0","-10","-30","-8","0","-35","0","14","0","-34","2","0","0","-1","0","6","0","12","8","-10","0","0","0","26","0","25","16","4","0","-12","-40","-1","0","-28","-24","0","0","0","0","28","0","-1","0","-10","0","0","0","-6","0","0","-10","14","0","-19","0","-24","0","-4","-6","-50","0","-8","-4","0","0","34","2","15","0","-22","0","7","0","-23","16","0","0","0","0","-5","0","-8","-14","24","0","-4","0","19","0","11","2","0","0","-5","16","41","0","-22","0","18","0","2","0","4","0","28","10","2","0","18","0","-15","0","40","-6","24","0","10","0","0","0","1","-4","30","0","42","0","20","0","-6","-12","4","0","0","0","24","0","-26","-48","-4","0","8","16","6","0","-14","-20","0","0","-20","0","-12","0","-8","-14","1","0","22","4","-4","0","0","-2","8","0","-16","0","-8","0","4","-20","-5","0","-42","0","0","0","36","20","-5","0","-3","0","16","0","20","-2","40","0","0","24","1","0","-4","0","5","0","-16","0","-20","0","8","10","42","0","-18","0","-24","0","7","0","-7","0","-21","0","-44","0","0","-48","0","0","1","-12","18","0","39","8","29","0","30","0","0","0","-80","30","17","0","48","0","19","0","5","-46","27","0","0","0","10","0","48","-4","-3","0","14","-28","-30","0","-17","-8","0","0","-2","0","-15","0","-16","0","-26","0","-1","32","-6","0","0","22","14","0","20","0","-8","0","-24","8","-6","0","36","8","0","0","-4","36","-10","0","28","0","13","0","-35","-24","-40","0","-7","0","8","0","2","2","-6","0","-15","0","-1","0","-18","40","0","0","-12","-24","22","0","-10","0","-45","0","32","0","-44","0","0","-8","10","0","-66","-16","-29","0","-10","-28","2","0","-1","0","0","0","3","12","-36","0","-50","-28","0","0","-20","44","9","0","0","0","72","0","5","16","-18","0","-30","0","0","0","36","-4","0","0","-6","0","-22","0","-3","0","14","0","-24","-20","7","0","0","-6","56","0","-23","0","4","0","37","32","-46","0","-9","48","-35","0","15","-8","-5","0","-35","0","71","0","-7","-40","-23","0","0","20","6","0","8","18","-32","0","-2","0","36","0","36","-14","0","0","-45","0","-4","0","-8","0","40","0","12","0","28","0","0","-18","-44","0","-6","16","-18","0","-11","60","11","0","18","0","0","0","-4","34","6","0","4","0","48","0","10","4","25","0","0","0","18","0","-20","20","14","0","12","4","-36","0","-12","28","0","0","-17","0","-20","0","-54","0","1","0","-16","0","48","0","7","-32","7","0","20","0","28","0","-29","-12","54","0","-24","44","0","0","55","-20","54","0","-32","0","-9","0","-4","-12","-40","0","0","-8","1","0","4","-8","-14","0","-8","0","5","0","33","32","0","0","6","-48","-44","0","0","-14","-30","0","56","0","22","0","0","-12","-56","0","20","0","-12","0","8","18","-28","0","5","0"],"lmfdb":"agrees","curve":{"cremona":"155c1","lmfdb":"155.c","ainvs":[0,-1,1,-1,1],"rank":1,"torsion":1},"derived":{"al":[[5,1],[31,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"155.2.a.d","letter":"d","dim":4,"charpoly":["101","-32","-24","2","1"],"traces":["4","-1","-1","9","-4","8","0","-9","7","1","-6","-8","16","8","1","11","1","-1","5","-9","2","-24","0","-14","4","-12","5","16","6","-8","4","-29","-12","-18","0","-25","9","0","-6","9","13","-24","7","20","-7","-26","-14","2","-4","-1","5","20","11","30","6","-4","-31","22","13","8","22","-1","-40","47","-16","-20","-10","30","20","-8","3","19","9","-18","-1","14","8","56","-16","-11","36","6","-17","0","-1","16","38","-44","-12","1","-24","-10","-1","-12","-5","14","16","19","-52","9","21","-8","-40","-32","-2","-10","2","10","19","24","-23","36","-22","6","0","18","68","8","10","14","24","10","-31","9","-4","8","8","-101","-7","12","29","12","4","28","-5","-76","-47","36","-8","-16","-34","0","-32","-97","-6","-46","-21","10","21","8","-16","48","-36","-36","-4","-32","26","-20","-55","29","-36","-17","4","48","12","-12","-21","32","36","18","2","-12","14","-16","0","108","-57","78","-46","25","20","20","32","-82","-9","8","44","-20","30","0","20","6","-4","14","6","-15","-16","32","2","-9","16","-2","28","-2","-13","12","46","8","-6","24","-20","74","3","16","-7","-64","0","10","23","-20","-6","44","35","-68","7","-54","-2","-10","6","26","16","-50","-46","-12","14","10","-2","-44","22","-2","20","7","-26","38","4","-2","16","-9","17","1","42","-52","16","-30","-5","95","24","24","-26","-20","-22","-92","-5","88","-11","72","36","-56","22","-30","24","132","36","22","-6","0","-25","-108","7","4","27","-24","-66","-34","31","-60","28","147","-17","-22","-26","38","8","-20","-13","0","-40","-34","36","-8","-10","128","-61","-40","-22","84","16","-8","-16","1","-1","-88","11","-30","40","-84","10","-20","-28","-47","-30","-92","-27","65","16","68","29","26","-4","20","-28","-92","52","4","10","-40","-55","-55","10","-30","-6","-120","12","58","-20","-110","0","-12","59","8","-10","-148","-4","34","-3","-46","-20","4","-24","-19","-9","-2","91","16","-9","40","11","62","-24","18","42","-8","40","-72","1","64","-4","-44","1","-14","44","12","-7","86","-8","-46","50","30","32","-56","36","95","21","-4","16","-36","-28","-20","58","11","-44","-12","16","12","-36","-20","-8","52","42","-6","-29","-128","-8","122","17","-48","-54","24","-1","0","-37","-24","-32","16","1","46","4","80","-64","-16","33","64","52","8","-38","72","-66","44","-69","44","-13","-28","-2","-18","12","64","37","-20","84","-1","-10","-42","90","-40","24","-12","-24","-50","27","10","-20","76","44","62","1","6","4","-48","-8","12","-46","120","-56","40","5","24","-72","84","32","-14","62","70","-4","37","-16","6","17","-82","4","-19","52","-26","22","-72","52","11","-40","36","0","-9","-19","-8","42","-4","-21","-20","-47","46","-46","8","-26","-173","-79","122","40","-14","48","28","-78","32","-33","114","-27","22","2","8","1","-16","36","10","50","28","24","-80","-2","80","-24","-50","-18","-10","36","4","-98","-192","-19","-132","56","-106","46","-24","-48","-20","-72","130","23","100","16","-1","38","-36","-14","142","10","28","22","-4","-24","28","-14","-6","-24","88","40","100","0","-25","-4","-99","-78","-18","-70","20","40","-176","-68","90","28","8","5","-8","2","-16","-54","-144","-10","116","-92","-12","-28","-14","-48","60","24","-84","-24","74","6","12","-104","-10","-52","-100","27","-16","31","-96","-126","-44","4","-9","24","-56","56","48","4","170","108","54","-13","-8","-68","48","-96","34","-8","-22","-28","-124","86","101","-10","-88","-63","-72","7","30","-27","-77","-50","-12","2","-64","66","-6","-29","18","24","16","-47","-12","93","108","40","34","-4","-64","4","56","67","-28","-60","40","-13","-38","5","-53","11","8","12","76","24","-24","28","20","47","16","126","-110","2","-36","-71","30","100","-22","8","-12","-15","114","-50","16","8","164","37","204","34","44","-32","-26","-40","0","92","130","0","60","32","-76","-82","-144","16","97","-36","31","28","94","6","52","52","-48","-68","46","-49","-44","58","-152","21","-42","-44","-114","-62","-10","-182","112","47","-14","-21","-118","94","188","92","-8","-60","-48","-70","108","16","80","13","36","-116","-48","-66","16","44","-48","36","40","60","-114","-21","36","28","-18","16","-86","4","50","72","-98","81","32","-46","-36","154","-109","-26","186","20","-52","-21","20","-52","252","84","-146","55","-76","-28","-84","-14","-29","-58","-74","48","20","36","-12","-38","106","58","17","83","80","-30","8","-4","-76","37","-2","-196","-48","56","-104","-103","184","-12","156","-67","-10","52","12","109","208","-47","-24","21","-96","5","140","-41","-32","0","30","89","-60","-36","-104","-4","88","98","-18","16","-6","46","0","-2","12","42","-156","-38","12","34","-4","1","-84","-14","-124","-20","16","0","16","-32","-110","22","-108","0","-18","-10","24","76","-108","118","-129","-23","96","57","88","6","-52","0","-78","-62","76","42","2","46","-100","84","30","6","-25","7","-60","24","-86","-20","-108","-76","-128","104","-20","82","116","-12","8","-32","42","-128","-104","-43","82","46","18","52","-16","9","70","4","-98","46","-8","57","-114","-51","132","-44","80","26","4","153","20","32","80","-102","-152","-30","24","-17","32","62","0","-80","-72","-51","-148","-20","-24","-148","-140","10","-6","4","-100","-164","26","4","20","-76","-205","63","-14","3","-102","8","-80","-6","70","-10","12","-76","15","-40","120","128","-8","16","-96","72","28","-36","-32","-66","-29","20","0","-2","34","50","-96","-77","9"],"lmfdb":"agrees","derived":{"al":[[5,1],[31,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"155.2.a.e","letter":"e","dim":4,"charpoly":["-1","12","-6","-2","1"],"traces":["4","1","1","5","4","-4","2","3","-1","1","-4","6","10","-16","1","3","11","-13","-3","5","0","8","-2","-16","4","2","1","-24","-8","-4","-4","7","-10","-2","2","-5","3","-22","-10","3","-11","8","17","-24","-1","16","-10","-16","16","1","1","22","13","4","-4","-24","25","-10","-3","6","22","-1","16","-9","10","32","-12","28","0","-16","-21","-13","19","-2","1","2","8","-20","-2","3","-20","36","-15","36","11","8","-24","-4","-10","-13","-4","24","-1","40","-3","28","4","37","-8","5","5","-30","16","42","0","-18","-30","6","-1","8","-7","-24","12","-24","-2","-46","-2","2","-4","-16","-12","14","-3","-5","4","20","-10","15","-19","2","-23","-24","14","24","1","26","-1","-8","-2","-24","2","-18","-20","-13","-8","10","-51","-56","-19","-4","-18","-48","2","36","-4","16","4","0","57","7","-44","37","-16","-12","-10","36","-15","-8","8","-2","22","26","28","36","2","-4","-21","-70","0","-5","36","-84","-16","24","3","4","-30","12","-8","-22","-16","-12","20","54","-10","37","26","32","-4","3","-30","-56","40","26","-11","20","-16","42","-24","8","4","40","-1","-52","17","52","-2","56","19","-24","50","54","37","-24","-1","-38","-8","38","68","16","-28","2","24","-42","-10","38","68","-76","14","-16","-30","-55","-16","18","16","48","-32","-3","-7","1","-26","56","-8","12","1","-49","-42","-18","64","22","10","6","45","16","13","52","14","-72","-28","4","10","26","-16","-66","-4","-36","81","52","1","-24","-41","28","14","-30","25","-4","-46","3","-17","-10","-22","0","10","0","-3","-42","-2","-36","4","6","0","28","7","-48","22","-50","10","8","-8","-1","27","-40","-31","-10","16","24","26","-58","36","-9","50","-44","-7","9","10","-88","25","-6","-72","32","-4","-54","2","-84","-12","-8","11","35","-20","28","4","4","-56","64","0","-50","30","4","-13","-16","50","-44","2","-36","-21","-54","6","-12","12","-13","-1","42","45","-128","19","-4","37","24","-36","-2","4","-6","-30","28","1","8","-4","-60","-55","2","4","-20","51","28","8","2","-8","-54","-24","-20","4","139","-35","74","-2","-12","44","-8","36","3","-42","96","-10","52","-20","60","54","-44","4","36","55","56","-46","-20","-15","2","-36","88","115","36","19","-16","-40","-74","11","12","12","48","-36","8","-23","52","-58","16","-24","8","-14","10","-17","-4","-37","28","6","10","-10","20","61","8","-56","-13","48","-74","-16","-44","-4","12","38","-42","27","24","50","28","10","2","-1","14","20","-46","24","40","16","80","-18","-24","-3","-92","18","-36","-8","28","-34","-22","44","25","4","16","-81","50","-44","37","72","-94","-28","-84","-8","-3","6","90","-14","5","-11","72","-20","72","5","-36","-53","88","18","-30","28","-113","-51","-42","16","18","28","92","52","42","-57","62","15","-6","0","-12","-11","16","-48","-18","-2","152","-64","-16","-30","-12","-10","18","0","6","48","36","66","30","-1","44","-30","72","-14","8","-30","8","-28","50","-7","-52","-18","13","90","-24","-56","-92","-52","-100","12","12","-86","-28","-46","-24","42","-80","-104","40","-2","-29","-18","-19","42","-46","-12","108","-58","-38","-2","-14","30","-42","3","2","46","-42","-2","-52","-4","56","2","84","4","-16","26","-124","-24","40","-12","-108","-44","52","-88","14","-52","-22","13","68","-3","64","0","-36","-8","-5","8","-82","104","-40","4","-62","-62","98","-41","20","-24","-112","-12","118","-10","62","134","-44","18","15","2","-100","51","-72","-19","-108","-9","35","-36","2","0","-124","-70","48","-23","-6","-10","0","5","-24","41","-40","-12","-40","14","50","-40","-82","95","24","-4","80","1","98","1","27","89","36","8","26","-50","-8","-6","92","-1","-96","12","64","-30","-8","61","-54","-36","92","-2","32","-67","60","-28","-24","-16","64","-15","84","2","86","14","-10","44","-18","0","-82","2","16","-20","112","18","104","-20","-13","-44","-41","42","134","-8","-80","-32","-96","32","10","71","16","26","32","-51","24","96","34","42","-56","86","8","-27","16","-19","-22","-36","-104","-56","-4","-8","8","18","-48","-18","-116","35","78","28","-48","6","-76","-66","-128","2","156","72","12","59","36","26","154","-50","-60","-4","-10","-78","58","-31","16","12","76","36","139","4","12","-94","110","71","0","136","52","80","46","57","-60","-50","-100","-50","7","70","6","10","-72","-44","-2","-84","38","-32","37","55","48","-96","-4","-16","-44","-63","-142","84","-12","-2","-138","19","72","-10","-112","79","-56","80","36","1","-78","83","104","-15","-36","-1","42","95","-8","-12","-32","85","-12","8","8","6","-74","-18","-2","-64","-6","38","-112","22","-52","88","76","32","26","40","126","-81","-40","28","-66","6","24","-24","36","-60","-42","-54","-52","2","18","56","126","58","-4","8","-69","-45","108","-21","-92","-44","-12","-120","-70","28","178","-26","-92","0","152","16","34","8","-5","27","-100","-38","-34","36","-12","-68","-80","56","-84","108","12","90","-58","-16","34","-46","62","-71","24","-64","-54","-52","-56","3","-32","-20","-94","-106","4","-155","30","49","-116","-30","-86","44","108","45","12","-40","-108","46","80","-8","-20","17","-4","-10","-22","-24","-104","59","-66","-16","-100","32","-68","-8","-12","4","-108","52","-102","20","28","10","-65","99","54","27","-132","-4","-84","-10","50","-8","36","-16","37","-56","52","-134","44","26","-12","76","-36","0","32","-60","-7","16","100","-4","-102","170","-124","-33","3"],"lmfdb":"agrees","derived":{"al":[[5,-1],[31,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.178,"computed":"atlas","estimate":{"seconds":0.223,"low":0.136,"high":0.385,"bytes":1892541},"url":"https://sagebrush.space/atlas/mf/155.2.a"}