{"label":"890.2.a","level":890,"weight":2,"dims":{"new":31,"cusp":131,"eisenstein":7,"modsym":269},"old":[[89,7,4],[178,7,2],[445,29,2]],"T":[[3,1],[7,2],[17,3],[19,4],[23,5],[11,6],[13,7],[29,8]],"status":"proven","checks":["dim M^+ at levels [1, 2, 5, 10, 89, 178, 445, 890]: [0, 1, 1, 3, 8, 24, 46, 138] (certified at ell = 2147482921)","T = [(3, 1), (7, 2), (17, 3), (19, 4), (23, 5), (11, 6), (13, 7), (29, 8)]; h of degree 31 = 1 x 31 (phi(ord eps) x dim S_k^new); 9 primes, 0 rejected"],"newforms":[{"label":"890.2.a.a","letter":"a","dim":1,"charpoly":["-54","1"],"traces":["1","-1","-2","1","-1","2","-2","-1","1","1","4","-2","4","2","2","1","2","-1","-4","-1","4","-4","-6","2","1","-4","4","-2","6","-2","4","-1","-8","-2","2","1","-12","4","-8","1","-2","-4","-6","4","-1","6","-8","-2","-3","-1","-4","4","6","-4","-4","2","8","-6","0","2","6","-4","-2","1","-4","8","-8","2","12","-2","0","-1","-6","12","-2","-4","-8","8","-8","-1","-11","2","-6","4","-2","6","-12","-4","-1","1","-8","-6","-8","8","4","2","-10","3","4","1","-14","4","-2","-4","-4","-6","-4","4","-18","4","24","-2","20","-8","6","6","4","0","-4","-2","5","-6","4","4","-1","2","6","-1","12","4","-12","-8","8","8","-4","-2","20","-12","-20","2","16","0","16","1","-6","6","6","-12","-6","2","16","4","2","8","-4","-8","14","8","-12","1","12","11","-14","-2","8","6","-12","-4","3","2","-4","-6","18","12","-2","4","0","1","4","-1","10","8","-12","6","12","8","8","-8","-8","-4","24","-2","4","10","8","-3","20","-4","-16","-1","16","14","-12","-4","2","2","-6","4","-16","4","-4","6","0","4","6","-4","-8","18","12","-4","8","-24","-8","2","1","-20","-16","8","-2","-6","16","-6","22","-4","8","0","16","4","0","2","-10","-5","10","6","3","-4","-16","-4","12","1","-12","-2","-24","-6","4","1","14","-12","24","-4","6","12","-16","8","-6","-8","2","-8","-26","4","8","2","16","-20","4","12","2","20","4","-2","-2","-16","-12","0","-8","-16","4","-1","-13","6","20","-6","-24","-6","0","12","16","6","-24","-2","12","-16","28","-4","-6","-2","-16","-8","4","4","-8","8","-12","-14","2","-8","-18","12","24","-1","8","-12","-8","-11","4","14","36","2","16","-8","4","-6","-12","12","8","4","-24","-3","-40","-2","16","4","20","6","-12","-18","4","-12","-10","2","16","-4","-24","0","0","-1","8","-4","4","1","-3","-10","-10","-8","6","12","24","-6","-2","-12","-12","-8","34","-8","2","8","24","8","20","4","-12","-24","6","2","8","-4","-6","-10","-6","-8","-12","3","24","-20","8","4","0","16","-16","1","18","-16","16","-14","11","12","-48","4","-38","-2","-40","-2","0","6","6","-4","40","16","-12","-4","-26","4","-8","-6","2","0","-12","-4","-32","-6","-12","4","4","8","12","-18","24","-12","-28","4","-3","-8","-36","24","1","8","12","-2","34","-1","-8","20","-32","16","8","-8","-16","2","8","6","-14","-16","24","6","8","-22","-24","4","16","-8","-28","0","-24","-16","-4","-4","6","0","24","-2","-48","10","-24","5","10","-10","12","-6","28","-3","24","4","12","16","-4","4","0","-12","8","-1","24","12","30","2","14","24","-6","6","18","-4","12","-1","-16","-14","2","12","-32","-24","-36","4","-22","-6","16","-12","4","16","8","-8","13","6","0","8","-8","-2","4","8","-8","26","-12","-4","18","-8","-20","-2","18","-16","14","20","6","-4","-24","-12","16","-2","-24","-20","12","-4","-24","2","-16","2","18","16","-20","12","22","0","2","8","44","16","-48","-4","-6","1","32","13","-8","-6","12","-20","24","6","-4","24","-24","6","-16","0","-40","-12","36","-16","4","-6","32","24","-16","2","-10","-12","-8","16","-5","-28","12","4","24","6","-32","2","-26","16","-4","8","-20","-4","36","-4","-24","8","2","-8","1","12","32","14","-24","-2","-16","8","8","18","-6","-12","-12","-24","0","1","26","-8","16","12","-12","8","-14","11","0","-4","16","-14","-20","-36","12","-2","-6","-16","20","8","-18","-4","-16","6","-8","12","-36","-12","16","-8","24","-4","-34","24","4","3","-48","40","20","2","32","-16","6","-4","-20","-20","4","-6","24","12","-12","18","-8","-4","20","12","-4","10","-44","-2","-34","-16","48","4","-16","24","28","0","-2","0","-8","1","-24","-8","-16","4","0","-4","36","-1","4","3","20","10","6","10","-6","8","13","-6","-12","-12","46","-24","-6","6","-32","2","-24","12","32","12","6","8","6","-34","-6","8","8","-2","-40","-8","24","-24","-16","-8","34","-20","48","-4","-22","12","36","24","-2","-6","0","-2","46","-8","-28","4","-44","6","4","10","-48","6","8","8","0","12","24","-3","-14","-24","-2","20","32","-8","-40","-4","24","0","12","-16","38","16","-16","-1","-1","-18","-24","16","-12","-16","52","14","38","-11","-20","-12","-16","48","14","-4","24","38","-8","2","-10","40","-12","2","-8","0","6","-6","10","-6","-4","4","-6","-40","12","-16","16","12","44","4","7","26","4","-4","-3","8","-10","6","24","-2","72","0","-36","12","4","4","32","32","-24","6","-8","12","42","-4","-18","-4","26","-8","-32","-12","-32","18","-10","-24","2","12","12","28","48","-4","2","3","34","8","0","36","-22","-24","-12","-1","-44","-8","32","-12","-4","2","48","-34","24","1","12","8","-24","-20","-10","32","-56","-16","-14","-8","8","8","-24","16","12","-2","24","-8","56","-6","32","14","0","16","-12","-24","-2","-6","18","-8","12","22","16","24","-8","-4","30","-16","24","8","-46","28","12","0","8","24","-48","16","-24","4","36","4","-52","-6","-24","0","-48","-24","-40","2","-15","48","-4","-10","-4","24","26","-5","16","-10","12","10","40","-12","-8","6","42","-28","-4","3","-18","-24","-16","-4","-20","-12","-32","-16","36","4","32","-4","-8","0","16","12","26","-8","-48","1"],"lmfdb":"agrees","curve":{"cremona":"890b1","lmfdb":"890.a","ainvs":[1,0,1,-9,-4],"rank":1,"torsion":2},"derived":{"al":[[2,1],[5,1],[89,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.b","letter":"b","dim":1,"charpoly":["48","1"],"traces":["1","-1","-2","1","1","2","2","-1","1","-1","-4","-2","-2","-2","-2","1","6","-1","-6","1","-4","4","2","2","1","2","4","2","-2","2","-2","-1","8","-6","2","1","-2","6","4","-1","2","4","-10","-4","1","-2","4","-2","-3","-1","-12","-2","2","-4","-4","-2","12","2","-6","-2","-10","2","2","1","-2","-8","-12","6","-4","-2","-12","-1","-6","2","-2","-6","-8","-4","4","1","-11","-2","-2","-4","6","10","4","4","1","-1","-4","2","4","-4","-6","2","-2","3","-4","1","-2","12","-14","2","-4","-2","-8","4","10","4","4","2","2","-12","2","-2","-2","6","12","2","5","10","-4","-2","1","-2","6","-1","20","2","16","8","-12","12","4","-6","2","4","4","2","-8","12","8","1","-2","6","6","-2","-18","2","-18","6","6","8","-2","4","10","-4","-4","-1","4","11","2","2","8","2","-24","4","-9","-6","-6","-10","14","-4","2","-4","12","-1","20","1","-10","4","20","-2","-2","-4","-24","4","8","6","-18","-2","26","2","4","-3","6","4","4","-1","24","2","-4","-12","2","14","2","-2","24","4","6","2","24","8","-10","-4","-4","-10","12","-4","-12","-4","-24","-2","1","-2","0","12","22","-2","16","2","10","2","4","-6","-8","-12","2","-2","10","-5","10","-10","-3","4","12","2","4","-1","-12","2","-8","-6","-12","1","2","-20","-4","-2","-2","-16","24","-8","2","12","-2","-12","-14","-4","-8","6","8","-2","-4","-4","6","-4","-2","-2","-6","8","-20","-12","12","-8","4","-1","19","2","4","-6","-18","-6","-6","2","-16","18","-4","-2","-20","18","4","-6","-10","-6","32","-8","28","2","16","-4","10","-10","2","4","-2","4","8","1","16","-4","-36","-11","-2","-2","-20","-2","8","-8","-4","-2","-2","24","-12","-4","-14","9","-4","6","8","6","-20","10","-4","-14","32","4","-10","-2","-8","4","34","-12","-12","1","-24","-20","34","-1","17","10","-10","-4","-6","-20","-8","2","2","2","4","4","-10","24","-2","-4","4","-8","-2","-6","-12","18","-18","2","-8","-26","-10","-2","30","-4","12","3","-32","-6","4","-4","-2","-4","24","1","-18","-24","4","-2","-11","4","8","12","-18","-2","-4","-14","-12","-2","-2","2","-8","-24","26","-4","22","-6","4","-2","6","-24","-20","-8","-16","10","2","4","2","4","4","10","-12","-12","-30","4","-3","12","36","4","1","24","36","2","-30","-1","-8","2","36","0","-4","-12","2","-22","24","2","18","-16","-36","-2","4","-10","36","-2","-24","-4","-20","6","40","8","-6","12","2","-2","4","2","4","-10","-8","5","-2","-10","28","10","-4","3","-34","-4","-12","-12","-4","-2","-24","-4","18","1","48","12","22","-2","-2","8","18","6","-30","12","-12","-1","-24","-2","-14","20","-16","4","-28","2","-14","2","-36","16","-4","-24","-12","8","-19","-2","-6","-12","-4","2","-8","12","-40","14","12","4","-10","8","20","-6","10","-8","10","2","-10","4","12","4","8","-6","4","4","-2","2","20","2","48","6","-6","-8","2","20","-22","12","-38","-12","2","8","36","-4","2","1","2","-19","-52","-2","-4","-4","-8","6","-2","18","-24","6","12","6","-12","-2","-6","16","12","-18","-8","4","26","2","10","20","-12","-18","5","-4","48","6","8","10","-8","6","34","-32","-4","8","-38","-28","-44","-2","8","-16","2","4","1","-10","-48","10","-12","-2","32","-4","-12","2","6","-4","6","-8","-12","-1","34","-16","32","4","20","36","-6","11","24","2","8","2","-2","20","16","2","-6","-8","0","8","-18","4","24","2","-12","2","-4","-24","48","12","40","4","-2","14","4","-9","-42","4","-4","-6","0","-8","-30","-6","2","20","-44","-10","-4","4","24","14","-8","-32","4","-4","12","10","-20","2","-2","8","12","-4","-8","-34","-4","12","-34","12","4","-1","-4","24","8","20","-4","-34","-30","1","-28","-17","-20","-10","-2","10","14","4","13","6","-60","20","-22","8","6","-2","48","-2","18","-2","-24","-4","-18","-4","-18","10","-2","-24","-16","2","32","4","24","-4","-18","8","10","2","16","6","46","12","20","-18","6","18","12","-2","-50","8","-4","26","-18","10","-2","2","8","-30","-12","4","48","-12","-8","-3","10","32","30","6","-48","-4","4","4","20","2","-4","4","30","-24","24","-1","1","18","24","24","4","-4","28","2","26","11","40","-4","16","-8","2","-12","60","18","-4","2","18","4","16","14","8","12","34","2","22","2","-12","-2","-18","8","-24","24","-8","-26","-10","4","-25","-22","12","6","-9","-4","10","2","40","-6","-4","24","-26","20","-6","8","-30","16","-6","-10","-8","-2","22","-4","14","-2","-38","-4","-16","-4","24","-10","-2","12","2","12","14","30","36","-4","-26","3","46","-12","12","-36","10","-4","12","-1","44","-24","-24","-36","20","-2","8","30","4","1","12","8","40","-2","-10","-36","-16","0","-2","4","-12","12","8","-2","20","22","32","-24","-42","-2","-64","-18","24","16","-2","36","-14","2","-14","-4","18","10","-32","-36","-24","2","-38","24","-20","4","38","20","4","-6","8","-40","-36","-8","12","6","4","-12","-14","-2","-18","2","-16","-4","4","-2","-27","-4","-8","10","26","8","-22","-5","72","2","-12","10","8","-28","4","-10","34","4","-4","-3","10","34","-40","4","6","12","-16","12","-20","4","10","2","8","24","4","4","-10","-18","-8","-1"],"lmfdb":"agrees","curve":{"cremona":"890e1","lmfdb":"890.b","ainvs":[1,0,1,-1138,-14844],"rank":1,"torsion":2},"derived":{"al":[[2,1],[5,-1],[89,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.c","letter":"c","dim":1,"charpoly":["10","1"],"traces":["1","-1","0","1","-1","0","2","-1","-3","1","4","0","-6","-2","0","1","-6","3","-2","-1","0","-4","6","0","1","6","0","2","0","0","-4","-1","0","6","-2","-3","-10","2","0","1","2","0","0","4","3","-6","4","0","-3","-1","0","-6","-10","0","-4","-2","0","0","-10","0","-4","4","-6","1","6","0","4","-6","0","2","8","3","-14","10","0","-2","8","0","0","-1","9","-2","0","0","6","0","0","-4","-1","-3","-12","6","0","-4","2","0","-10","3","-12","1","12","0","-18","6","0","10","-20","0","-2","4","0","2","-4","0","-6","0","18","10","-12","0","5","4","0","-4","-1","6","2","-1","0","-6","12","0","-4","-4","0","6","8","0","16","-2","0","-8","-24","-3","0","14","0","-10","8","0","0","2","18","-8","4","0","-18","0","0","1","12","-9","12","2","0","0","4","0","23","-6","6","0","-2","0","2","4","0","1","0","3","12","12","0","-6","10","0","-24","4","0","-2","0","0","16","10","0","-3","18","12","0","-1","0","-12","0","0","-2","18","-18","-6","-8","0","10","-10","0","20","0","0","-8","2","0","-4","36","0","20","-2","-3","4","12","0","-16","6","0","0","-10","-18","-4","-10","0","12","16","0","-6","-5","0","-4","3","0","12","4","0","1","-24","-6","24","-2","0","1","-2","0","-20","6","0","-12","28","0","10","4","0","4","-30","0","8","-6","0","-8","4","0","10","-16","12","2","-10","0","-12","8","0","24","4","3","19","0","0","-14","10","0","10","10","0","-8","-36","0","0","0","0","-2","4","-18","20","8","0","-4","24","0","-8","18","6","0","30","0","0","-1","0","-12","12","9","-6","-12","0","-2","8","0","4","0","30","-4","-4","0","8","-23","0","6","-16","-6","-20","0","0","2","-20","0","-16","-2","0","-4","0","0","-8","-1","0","0","-24","-3","-15","-12","0","-12","14","0","32","6","-6","-10","-20","0","-34","24","0","-4","0","0","-30","2","0","0","-22","0","-8","-16","0","-10","-24","0","-36","3","0","-18","0","-12","30","0","0","1","-6","0","24","12","-9","0","-40","0","10","2","0","-18","-20","18","0","6","0","8","-6","0","-24","-10","-12","10","-6","0","-8","-20","0","0","16","0","-8","8","0","-2","-12","0","28","4","9","-36","20","0","1","-20","0","2","14","3","8","-4","0","-12","12","0","-28","16","0","-6","-30","0","-4","0","0","10","-36","18","8","4","0","10","0","0","-2","-12","30","-16","24","0","60","6","0","5","10","0","-20","4","0","-3","-30","0","0","-12","12","-4","16","0","-10","-1","0","24","38","6","-12","-24","0","2","-14","0","-28","-1","0","2","18","0","16","20","0","-6","30","0","20","12","0","-28","24","0","13","-10","30","-4","-12","0","20","-4","0","30","-12","0","8","-8","0","6","2","0","-36","8","12","-4","0","0","0","-10","0","16","-14","-12","0","-2","0","10","-32","0","4","12","18","-8","-10","0","10","-24","0","-4","6","-3","8","-19","0","0","0","0","-40","14","-18","-10","-12","0","8","-10","0","-10","-36","0","12","8","0","36","12","0","-10","0","-12","0","-5","0","-16","2","0","-4","-24","18","-46","-20","0","-8","-12","0","-28","4","0","-24","-2","0","1","8","0","-18","60","-6","-16","0","0","-30","-2","0","18","0","-24","1","30","0","44","12","0","-12","38","-9","-40","6","0","12","34","0","-12","2","42","-8","20","0","-8","-4","0","0","4","-30","0","4","0","4","-16","0","14","-8","0","23","18","0","-20","-6","0","16","16","6","-8","20","0","0","60","0","-36","-2","-24","20","-16","0","-12","16","0","2","-18","0","20","4","0","0","24","0","32","8","0","1","-24","0","24","0","0","24","48","3","-36","15","0","12","0","0","6","12","-27","-14","0","0","-22","-32","0","-6","16","6","6","10","0","20","46","0","-8","34","0","-24","-40","0","-8","4","0","0","0","0","38","30","0","-2","38","0","-4","0","-18","22","60","0","-2","8","0","16","6","0","-4","10","0","24","-4","0","32","36","0","-3","18","0","-32","18","0","0","-8","12","24","-30","0","0","-54","0","-24","-1","3","6","-56","0","-12","-24","0","-12","14","9","28","0","0","40","-12","0","0","-10","36","-2","-50","0","28","18","0","20","-12","-18","-52","0","0","-6","18","0","-4","-8","0","6","-12","0","-29","24","0","10","-23","12","10","-10","0","6","-60","0","46","8","-6","20","-4","0","-22","0","0","-16","-26","0","2","8","0","-8","0","0","-24","2","30","12","-2","0","-22","-28","0","-4","-18","-9","8","36","0","-20","2","0","4","-1","36","20","-8","0","0","-2","0","-14","0","-3","60","-8","0","4","-12","0","28","12","-36","-12","-32","0","0","28","0","-16","24","0","44","6","0","30","-48","0","-10","4","54","0","-30","0","6","-10","0","36","24","-18","-10","-8","0","-4","48","0","12","-10","0","0","-20","0","84","2","0","12","-8","-30","0","16","0","-24","16","0","-15","-60","60","-6","-16","0","34","-5","0","-10","-20","0","32","20","0","-4","-38","0","-4","3","6","30","16","0","-18","0","0","12","0","-12","-8","4","0","-16","0","0","-50","10","0","1"],"lmfdb":"agrees","curve":{"cremona":"890a1","lmfdb":"890.c","ainvs":[1,-1,0,-5,1],"rank":1,"torsion":2},"derived":{"al":[[2,1],[5,1],[89,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.d","letter":"d","dim":1,"charpoly":["45","1"],"traces":["1","-1","1","1","1","-1","-4","-1","-2","-1","-1","1","4","4","1","1","0","2","-6","1","-4","1","-4","-1","1","-4","-5","-4","-2","-1","-8","-1","-1","0","-4","-2","-2","6","4","-1","-4","4","11","-1","-2","4","-5","1","9","-1","0","4","11","5","-1","4","-6","2","-12","1","-7","8","8","1","4","1","0","0","-4","4","6","2","-12","2","1","-6","4","-4","-8","1","1","4","7","-4","0","-11","-2","1","1","2","-16","-4","-8","5","-6","-1","-8","-9","2","1","13","0","-14","-4","-4","-11","10","-5","-2","1","-2","-4","-1","6","-4","-2","-8","12","0","-1","-10","7","-4","-8","1","-8","12","-1","11","-4","1","-1","24","0","-5","0","2","4","19","-4","-5","-6","-4","-2","-2","12","9","-2","15","-1","-3","6","0","-4","-8","4","1","8","11","-1","16","-1","8","-4","-1","-7","-3","4","3","0","12","11","5","2","-4","-1","-12","-1","-16","-2","-19","16","-7","4","-2","8","0","-5","20","6","-15","1","-7","8","4","9","12","-2","16","-1","0","-13","8","0","-4","14","8","4","6","4","-18","11","6","-10","11","5","32","2","-12","-1","0","2","0","4","-2","1","12","-6","-5","4","4","2","10","8","-5","-12","-8","0","-7","1","-26","10","16","-7","9","4","-24","8","7","-1","27","8","4","-12","0","1","2","-11","8","4","4","-1","9","1","11","-24","1","0","28","5","22","0","-16","-2","-1","-4","9","-19","16","4","-18","5","-26","6","-6","4","16","2","-17","2","-8","-12","24","-9","-12","2","5","-15","-16","1","-44","3","13","-6","-7","0","20","4","-14","8","-20","-4","-23","-1","8","-8","31","-11","2","1","10","-16","0","1","4","-8","-2","4","20","1","29","7","4","3","0","-4","1","-3","-1","0","8","-12","-8","-11","-4","-5","-28","-2","26","4","-20","1","-23","12","6","1","0","16","-20","2","17","19","-10","-16","-12","7","-17","-4","8","2","-44","-8","23","0","1","5","-8","-20","-2","-6","12","15","24","-1","4","7","-22","-8","15","-4","0","-9","1","-12","-8","2","-26","-16","24","1","3","0","-32","13","1","-8","2","0","-15","4","2","-14","48","-8","7","-4","19","-6","-22","-4","10","18","10","-11","0","-6","28","10","-4","-11","8","-5","5","-32","-2","-2","24","12","-21","1","-18","0","-30","-2","1","0","15","-4","-6","2","4","-1","-3","-12","-16","6","-22","5","0","-4","-6","-4","-24","-2","-8","-10","-6","-8","0","5","1","12","-11","8","-6","0","-22","7","-14","-1","-8","26","16","-10","-8","-16","-23","7","8","-9","38","-4","0","24","2","-8","-24","-7","-36","1","-3","-27","10","-8","13","-4","3","12","-30","0","48","-1","30","-2","-14","11","5","-8","5","-4","-20","-4","-36","1","-4","-9","0","-1","-7","-11","24","24","-16","-1","10","0","-16","-28","-9","-5","11","-22","-19","0","-2","16","-44","2","14","1","12","4","32","-9","-2","19","-14","-16","44","-4","0","18","-36","-5","-1","26","-4","-6","22","6","26","-4","-15","-16","-4","-2","5","17","-7","-2","-28","8","-11","12","-8","-24","0","9","48","12","12","-2","15","-5","0","15","16","16","17","-1","49","44","0","-3","-10","-13","-12","6","8","7","-20","0","-5","-20","-4","-4","-17","14","-5","-8","20","20","-4","4","1","23","6","1","0","-8","20","8","-18","-31","12","11","36","-2","-12","-1","-23","-10","-46","16","11","0","6","-1","12","-4","32","8","16","2","1","-4","24","-20","-39","-1","15","-29","0","-7","24","-4","8","-3","0","0","7","4","28","-1","-5","3","-24","1","32","0","12","-8","9","12","2","8","-5","11","44","4","-21","5","-8","28","19","2","0","-26","10","-4","-32","20","12","-1","-5","23","-52","-12","11","-6","16","-1","32","0","-4","-16","-7","20","-15","-2","56","-17","-26","-19","-2","10","-10","16","13","12","0","-7","-46","17","9","4","0","-8","30","-2","-24","44","0","8","15","-23","-14","0","-40","-1","-4","-5","27","8","-3","20","10","2","4","6","1","-12","8","-15","0","-24","-48","1","13","-4","2","-7","-36","22","-8","8","8","-15","24","4","-6","0","10","9","1","-1","36","12","9","8","4","-2","-28","26","11","16","39","-24","0","-1","-2","-3","12","0","16","32","28","-13","-13","-1","-20","8","22","-2","8","0","-66","15","32","-4","-12","-2","31","14","-1","-48","-44","8","-50","-7","9","4","0","-19","-3","6","40","22","-19","4","-25","-10","-18","-18","3","-10","40","11","-26","0","8","6","28","-28","12","-10","-33","4","-6","11","16","-8","46","5","5","-5","-17","32","8","2","0","2","16","-24","-4","-12","-34","21","24","-1","25","18","31","0","-12","30","-14","2","-48","-1","-1","0","30","-15","-16","4","-16","6","16","-2","0","-4","-44","1","-19","3","-16","12","-26","16","-48","-6","-7","22","-7","-5","-4","0","51","4","20","6","24","4","-2","24","28","2","-35","8","-54","10","-20","6","0","8","-44","0","-23","-5","11","-1","16","-12","20","11","-12","-8","-48","6","31","0","10","22","-15","-7","2","14","-8","1","33","8","-20","-26","-7","-16","-34","10","0","8","24","16","-76","23","4","-7","-2","-8","-1","9","4","-38","11","4","12","0","20","-24","-44","-2","13","8","29","24","16","7","59","36","10","-1"],"lmfdb":"agrees","curve":{"cremona":"890d1","lmfdb":"890.d","ainvs":[1,0,1,-13,16],"rank":1,"torsion":1},"derived":{"al":[[2,1],[5,-1],[89,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.e","letter":"e","dim":1,"charpoly":["-52","1"],"traces":["1","-1","2","1","-1","-2","4","-1","1","1","0","2","0","-4","-2","1","2","-1","6","-1","8","0","-4","-2","1","0","-4","4","4","2","4","-1","0","-2","-4","1","-4","-6","0","1","-2","-8","6","0","-1","4","0","2","9","-1","4","0","14","4","0","-4","12","-4","-6","-2","-8","-4","4","1","0","0","-8","2","-8","4","-16","-1","14","4","2","6","0","0","0","-1","-11","2","6","8","-2","-6","8","0","1","1","0","-4","8","0","-6","-2","-2","-9","0","1","4","-4","0","0","-8","-14","-8","-4","6","0","-8","4","10","-12","4","4","0","6","8","2","-11","8","-4","4","-1","-4","12","-1","12","0","-4","0","24","8","4","-2","6","8","-4","-4","0","16","0","1","-4","-14","18","-4","-8","-2","12","-6","2","0","-4","0","-18","0","28","1","-16","11","2","-2","0","-6","-16","-8","-13","2","6","6","-6","-8","4","0","-12","-1","20","-1","-20","0","-16","4","4","-8","0","0","-16","6","-20","2","-2","2","0","9","-8","0","-24","-1","-16","-4","16","4","2","0","-4","0","0","8","2","14","-32","8","-6","4","16","-6","28","0","0","8","-16","-4","1","-10","-8","12","-4","-4","0","-4","6","0","0","-6","0","-8","-20","-2","-10","11","-10","-8","-9","4","0","-4","12","1","20","4","0","-12","-4","1","-18","-12","-16","0","4","4","-16","0","-14","-24","2","-8","-6","-4","8","2","0","-6","0","-8","10","4","4","4","-30","0","0","-16","-12","0","-8","-1","-13","4","-4","14","12","-18","6","4","0","8","0","2","24","-12","8","6","8","-2","12","0","0","4","0","0","-26","18","-4","0","30","-28","0","-1","-16","16","12","-11","0","-2","12","2","0","0","4","6","-4","16","8","8","2","13","20","-2","0","-6","8","-6","8","6","8","8","-28","-4","0","0","10","12","16","1","16","-20","-24","1","17","20","-22","0","-14","16","16","-4","-2","-4","56","8","-22","0","-2","0","0","16","18","-6","24","20","20","-2","0","2","6","-2","-24","0","-8","-9","-8","8","0","0","24","24","48","1","-6","16","0","4","11","-16","0","-4","10","-2","12","0","-24","4","-6","0","-8","0","18","-8","12","-2","0","-14","2","32","-32","-8","0","6","40","-4","14","-16","-8","6","-24","-28","20","0","9","0","24","-8","-1","16","-16","4","30","-1","0","10","24","8","0","-12","38","4","-8","4","-30","0","8","4","-8","-6","4","0","-32","0","-36","6","0","0","6","8","14","20","24","2","0","10","-32","-11","2","10","-40","8","4","9","-18","-4","8","0","0","4","-64","-12","10","-1","-32","-20","-16","-4","-4","0","-26","12","34","4","56","-1","-24","18","0","12","0","16","-12","0","-26","-4","24","-4","8","16","8","0","-7","14","-6","24","0","-2","8","8","40","6","0","4","-16","-8","-40","-2","-6","0","6","6","-8","0","24","8","0","-10","8","-4","-8","-4","0","-4","0","30","-34","0","-10","0","-44","16","6","12","10","0","-40","8","-4","1","10","13","-4","-4","24","4","0","-14","0","-12","12","18","24","-6","-16","-4","42","0","-8","-8","-48","0","-40","-2","-22","-24","-8","12","11","-8","32","-6","32","-8","0","2","46","-12","4","0","2","0","28","-4","16","0","4","0","1","26","0","-18","-8","4","-40","0","4","-30","-12","28","0","0","-16","1","-2","16","-4","-16","-12","-12","-4","11","0","0","32","2","8","-12","4","-2","14","0","4","0","-44","-4","0","-6","-24","4","-16","-16","-32","-8","0","-8","26","-2","-4","-13","-28","-20","-8","2","-16","0","42","6","-6","-8","-8","6","0","-8","-12","-6","0","-8","4","-8","-4","28","12","4","6","0","-24","0","0","-10","16","-12","44","-16","0","-1","-16","-16","0","20","-40","24","24","-1","0","-17","-20","-20","4","22","12","0","13","14","12","-16","-26","-16","-18","4","0","2","-30","4","0","-56","48","-8","8","22","6","0","-32","2","32","0","40","0","-12","-16","-22","-18","0","6","6","-24","24","-20","-2","-20","0","2","26","0","-36","-2","4","-6","4","2","-32","24","-12","0","0","8","-16","9","18","8","18","-8","-32","0","40","0","0","-24","-28","-24","-18","-48","0","-1","1","6","0","-16","16","0","-12","-4","42","-11","32","16","16","0","-2","4","36","-10","0","2","-10","-12","-40","0","0","24","6","-4","36","6","20","0","18","8","16","0","-16","-18","-52","8","-13","-12","-60","2","13","0","-44","14","0","-2","16","-32","-28","32","-6","8","6","0","14","-6","-16","-40","-20","4","6","-14","-26","16","0","8","0","-6","-2","24","-4","28","-32","-20","24","0","-26","-9","14","0","12","-24","0","8","48","1","0","-16","0","16","-20","-4","0","-30","16","1","28","0","48","-10","20","-24","32","-8","4","0","40","12","0","-38","16","-4","-16","8","-40","-4","24","30","0","0","-4","-8","0","-4","50","8","54","6","0","-4","0","0","-22","32","-52","0","24","36","8","-6","16","0","48","0","0","-6","60","-8","-34","-14","20","-20","0","-24","24","-2","-15","0","-8","-10","2","32","8","11","24","-2","-28","-10","-16","40","0","-8","30","-4","0","-9","6","18","8","4","8","-8","0","0","-24","0","-44","-4","8","64","24","12","-38","-10","16","1"],"lmfdb":"agrees","curve":{"cremona":"890c1","lmfdb":"890.e","ainvs":[1,1,0,-418,3072],"rank":0,"torsion":2},"derived":{"al":[[2,1],[5,1],[89,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.f","letter":"f","dim":1,"charpoly":["21","1"],"traces":["1","1","-3","1","-1","-3","0","1","6","-1","3","-3","-4","0","3","1","-4","6","2","-1","0","3","-4","-3","1","-4","-9","0","2","3","-8","1","-9","-4","0","6","-10","2","12","-1","-12","0","7","3","-6","-4","-3","-3","-7","1","12","-4","1","-9","-3","0","-6","2","0","3","-5","-8","0","1","4","-9","-4","-4","12","0","-14","6","-4","-10","-3","2","0","12","12","-1","9","-12","11","0","4","7","-6","3","1","-6","0","-4","24","-3","-2","-3","16","-7","18","1","7","12","6","-4","0","1","6","-9","-14","-3","30","0","-1","-6","4","2","-24","0","0","3","-2","-5","36","-8","-1","0","-12","1","-21","4","21","-9","0","-4","9","-4","-6","12","7","0","9","-14","-12","6","-2","-4","21","-10","-3","-3","-13","2","-24","0","8","12","-13","12","-3","-1","0","9","-16","-12","9","11","3","0","3","4","12","7","-9","-6","0","3","0","1","24","-6","7","0","15","-4","10","24","-12","-3","0","-2","15","-3","-7","16","-12","-7","0","18","4","1","12","7","0","12","12","6","-24","-4","6","0","-22","1","42","6","-7","-9","0","-14","12","-3","16","30","0","0","6","-1","0","-6","9","4","0","2","-6","-24","3","0","-36","0","-9","3","-10","-2","0","-5","7","36","-8","-8","-33","-1","15","0","-12","-12","-12","1","22","-21","0","4","12","21","-9","-9","-1","0","-3","-4","8","9","-14","-4","0","-6","3","12","27","7","-48","0","-6","9","-2","-14","6","-12","0","6","-1","-2","-48","-4","-16","21","0","-10","-27","-3","16","-3","0","-13","-21","2","5","-24","-20","0","-18","8","-20","12","33","-13","0","12","-19","-3","6","-1","-18","0","-8","9","-4","-16","42","-12","0","9","-7","11","-60","3","4","0","33","3","3","4","-24","12","0","7","-12","-9","8","-6","-26","0","36","3","9","0","14","1","0","24","36","-6","-15","7","6","0","4","15","9","-4","-72","10","0","24","-3","-12","3","-3","-8","0","2","-2","36","15","-20","-3","0","-7","42","16","29","-12","16","-7","-63","0","-12","18","14","4","0","1","27","12","32","7","-9","0","-30","12","-31","12","18","6","0","-24","-11","-4","-21","6","-30","0","30","-22","-18","1","-4","42","0","6","36","-7","-16","-9","13","0","6","-14","-8","12","-3","-3","-42","16","30","30","-1","0","9","0","-6","6","-36","-1","39","0","0","-6","-22","9","36","4","-18","0","-8","2","-24","-6","42","-24","0","3","39","0","21","-36","2","0","6","-9","-14","3","40","-10","0","-2","-16","0","15","-5","48","7","-22","36","-8","-8","-18","-8","0","-33","-36","-1","-9","15","30","0","-7","-12","-9","-12","42","-12","0","1","-18","22","-6","-21","-9","0","27","4","16","12","-40","21","0","-9","32","-9","-7","-1","0","0","48","-3","-6","-4","-72","8","-21","9","17","-14","-21","-4","14","0","-28","-6","-30","3","4","12","0","27","-30","7","6","-48","-28","0","36","-6","12","9","1","-2","0","-14","30","6","18","-12","-45","0","-4","6","-27","-1","21","-2","0","-48","3","-4","24","-16","-8","21","-16","0","0","-10","31","-27","0","-3","-12","16","39","-3","-23","0","-24","-13","2","-21","-4","2","0","5","12","-24","41","-20","-36","0","-33","-18","-17","8","36","-20","0","12","1","33","-18","-13","40","0","16","12","66","-19","12","-3","28","6","-84","-1","-47","-18","-38","0","21","-8","18","9","0","-4","0","-16","-28","42","-21","-12","-24","0","13","9","-19","-7","-48","11","0","-60","-8","3","0","4","-15","0","16","33","-9","3","-48","3","0","4","0","-24","-27","12","6","0","-27","7","-4","-12","-33","-9","0","8","-7","-6","48","-26","18","0","0","36","-20","3","-9","9","0","0","9","14","72","1","32","0","12","24","27","36","7","-6","0","-15","30","7","2","6","46","0","-27","4","-28","15","22","9","-21","-4","-12","-72","30","10","24","0","12","24","3","-3","66","-12","0","3","52","-3","-45","-8","13","0","-42","2","36","-2","-15","36","0","15","24","-20","0","-3","-19","0","-66","-7","-12","42","-8","16","0","29","-24","-12","-42","16","-18","-7","13","-63","44","0","27","-12","0","18","20","14","3","4","-27","0","12","1","6","27","-12","12","0","32","-24","7","27","-9","-20","0","42","-30","16","12","14","-31","0","12","28","18","-15","6","-9","0","28","-24","2","-11","-81","-4","28","-21","-3","6","72","-30","19","0","-25","30","18","-22","-3","-18","0","1","6","-4","40","42","-44","0","-12","6","-25","36","50","-7","0","-16","6","-9","9","13","3","0","36","6","16","-14","96","-8","0","12","22","-3","48","-3","33","-42","11","16","0","30","-30","30","0","-1","27","0","-6","9","-24","0","-48","-6","-16","6","-4","-36","0","-1","-7","39","-28","0","42","0","-44","-6","33","-22","-15","9","0","36","-27","4","60","-18","56","0","-10","-8","36","2","21","-24","-14","-6","60","42","12","-24","28","0","-99","3","-15","39","48","0","0","21","48","-36","16","2","57","0","26","6","-15","-9","-18","-14","0","3","33","40","36","-10","7","0","-26","-2","24","-16","48","0","0","15","12","-5","-50","48","3","7","-84","-22","21","36","0","-8","0","-8","-28","-18","-61","-8","21","0","-4","-33","41","-36","90","-1"],"lmfdb":"agrees","curve":{"cremona":"890f1","lmfdb":"890.f","ainvs":[1,-1,1,12,87],"rank":1,"torsion":1},"derived":{"al":[[2,-1],[5,1],[89,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.g","letter":"g","dim":1,"charpoly":["131","1"],"traces":["1","1","-1","1","1","-1","-2","1","-2","1","-3","-1","-6","-2","-1","1","-2","-2","0","1","2","-3","4","-1","1","-6","5","-2","-10","-1","-8","1","3","-2","-2","-2","8","0","6","1","2","2","9","-3","-2","4","3","-1","-3","1","2","-6","-11","5","-3","-2","0","-10","0","-1","7","-8","4","1","-6","3","-2","-2","-4","-2","-8","-2","-16","8","-1","0","6","6","0","1","1","2","9","2","-2","9","10","-3","-1","-2","12","4","8","3","0","-1","-2","-3","6","1","-13","2","-6","-6","2","-11","8","5","0","-3","-8","-2","-1","0","4","-10","12","0","4","-1","-2","7","-2","-8","1","4","18","1","-9","-6","7","3","0","-2","5","-2","18","-4","5","-2","-3","-8","18","-2","-10","-16","3","8","5","-1","-3","0","4","6","-8","6","3","0","11","1","-8","1","-16","2","3","9","13","2","23","-2","0","9","-21","10","-2","-3","0","-1","-20","-2","7","12","-7","4","8","8","6","3","-10","0","17","-1","-11","-2","6","-3","8","6","0","1","2","-13","20","2","2","-6","-8","-6","0","2","2","-11","8","8","9","5","16","0","16","-3","12","-8","-16","-2","-2","-1","8","0","5","4","-6","-10","24","12","3","0","0","4","5","-1","-28","-2","-16","7","-3","-2","0","-8","-9","1","-23","4","-12","18","2","1","-12","-9","-16","-6","20","7","-11","3","-11","0","1","-2","0","5","-28","-2","-12","18","-3","-4","-17","5","16","-2","-18","-3","24","-8","0","18","-4","-2","-13","-10","2","-16","24","3","0","8","-15","5","-24","-1","-18","-3","13","0","7","4","-12","6","6","-8","-18","6","-11","3","4","0","-27","11","30","1","-8","-8","0","1","-6","-16","0","2","-6","3","7","9","-16","13","-2","2","-7","23","1","-2","24","0","20","9","-4","-21","28","10","-10","-2","-30","-3","29","0","-8","-1","-4","-20","0","-2","-19","7","2","12","-16","-7","-17","4","-4","8","22","8","29","6","-1","3","60","-10","-30","0","-18","17","-26","-1","6","-11","-18","-2","-15","6","-8","-3","-7","8","0","6","-12","0","0","1","27","2","48","-13","1","20","-24","2","25","2","-18","-6","0","-8","9","-6","-5","0","30","2","-18","2","-6","-11","-2","8","-14","8","-18","9","32","5","-31","16","10","0","0","16","-25","-3","6","12","-36","-8","-1","-16","-5","-2","-30","-2","-6","-1","3","8","12","0","38","5","-10","4","12","-6","-16","-10","8","24","8","12","4","3","-3","0","-27","0","0","4","22","5","0","-1","-48","-28","8","-2","-2","-16","-7","7","16","-3","42","-2","20","0","6","-8","16","-9","10","1","-13","-23","-26","4","-13","-12","-23","18","-10","2","32","1","0","-12","-6","-9","-9","-16","21","-6","2","20","24","7","2","-11","16","3","-7","-11","0","0","-12","1","8","-2","20","0","9","5","17","-28","-7","-2","0","-12","-12","18","-14","-3","0","-4","0","-17","-8","5","8","16","-54","-2","-6","-18","4","-3","-1","24","-2","-8","0","0","22","18","-17","-4","4","-2","-47","-13","11","-10","-18","2","33","-16","12","24","18","3","0","0","-8","8","-21","-15","4","5","0","-24","-35","-1","-43","-18","4","-3","-2","13","8","0","-20","7","-18","4","-11","-12","-2","6","-17","6","-35","-8","20","-18","2","6","1","-11","0","3","-16","4","32","0","-2","-27","18","11","18","30","16","1","17","-8","-16","-8","-9","0","28","1","0","-6","-16","-16","4","0","7","2","32","-6","35","3","-23","7","-12","9","0","-16","-40","13","16","-2","-21","2","-16","-7","5","23","-2","1","4","-2","-8","24","39","0","18","20","-5","9","66","-4","-3","-21","-12","28","5","10","-4","-10","-24","-2","12","-30","0","-3","-3","29","26","0","5","-8","0","-1","-32","-4","18","-20","-5","0","-15","-2","12","-19","28","7","-10","2","-42","12","13","-16","-18","-7","34","-17","3","4","6","-4","30","8","0","22","-36","8","5","29","-18","6","-16","-1","2","3","23","60","-3","-10","38","-30","12","0","-3","-18","0","17","4","-26","0","-1","5","6","12","-11","-16","-18","-8","-2","16","-15","0","6","24","-8","-50","-3","3","-7","-12","8","11","0","2","6","-42","-12","11","0","33","0","-6","1","2","27","48","2","-8","48","0","-13","15","1","-28","20","28","-24","-16","2","0","25","-24","2","22","-18","-1","-6","3","0","-12","-8","30","9","17","-6","6","-5","13","0","-40","30","-35","2","71","-18","18","2","23","-6","4","-11","-24","-2","32","8","-16","-14","0","8","3","-18","-10","9","4","32","44","5","-21","-31","13","16","0","10","12","0","4","0","-2","16","-2","-25","-24","-3","17","6","-31","12","0","-36","48","-8","-36","-1","-3","-16","0","-5","-20","-2","24","-30","80","-2","22","-6","18","-1","7","3","38","8","26","12","-28","0","-27","38","-7","5","-14","-10","-25","4","12","12","48","-6","8","-16","12","-10","-35","8","0","24","18","8","6","12","-22","4","11","3","-3","-3","8","0","-10","-27","18","0","96","0","27","4","34","22","17","5","-30","0","-36","-1","33","-48","-16","-28","-11","8","-52","-2","0","-2","52","-16","-10","-7","6","7","18","16","3","-3","0","42","19","-2","8","20","6","0","36","6","-23","-8","-7","16","0","-9","-47","10","40","1"],"lmfdb":"agrees","curve":{"cremona":"890g1","lmfdb":"890.g","ainvs":[1,1,1,10,147],"rank":1,"torsion":5},"derived":{"al":[[2,-1],[5,-1],[89,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.h","letter":"h","dim":1,"charpoly":["-36","1"],"traces":["1","1","0","1","1","0","4","1","-3","1","-4","0","6","4","0","1","2","-3","0","1","0","-4","4","0","1","6","0","4","-2","0","-4","1","0","2","4","-3","-2","0","0","1","-6","0","8","-4","-3","4","-8","0","9","1","0","6","6","0","-4","4","0","-2","-8","0","-2","-4","-12","1","6","0","4","2","0","4","0","-3","10","-2","0","0","-16","0","8","1","9","-6","0","0","2","8","0","-4","1","-3","24","4","0","-8","0","0","2","9","12","1","-10","0","-12","6","0","6","-12","0","-18","-4","0","4","-6","0","4","-2","-18","-8","8","0","5","-2","0","-4","1","-12","-12","1","0","6","-4","0","0","4","0","2","-14","0","-20","4","0","0","-24","-3","-2","10","0","-2","6","0","-12","0","-6","-16","-4","0","-18","8","0","1","16","9","-24","-6","0","0","24","0","23","2","0","8","14","0","4","-4","0","1","4","-3","6","24","0","4","-2","0","-8","-8","0","0","-20","0","26","2","0","9","14","12","-16","1","0","-10","-8","0","-6","-12","-12","6","0","0","8","6","0","-12","8","0","-16","-18","0","-4","12","0","16","4","-3","-6","-4","0","-10","4","0","-2","26","-18","-8","-8","0","8","-12","0","18","5","0","-2","9","0","0","-4","0","1","-4","-12","-16","-12","0","1","-14","0","-8","6","6","-4","-24","0","6","0","0","4","-18","0","16","2","0","-14","-4","0","22","-20","12","4","26","0","12","0","0","-24","-24","-3","-13","-2","0","10","14","0","-8","-2","0","6","24","0","32","-12","0","0","-2","-6","12","-16","0","-4","24","0","34","-18","-12","8","-18","0","8","1","0","16","0","9","6","-24","0","-6","-32","0","-20","0","6","24","4","0","10","23","0","2","16","0","8","8","0","14","-12","0","14","4","0","-4","26","0","0","1","0","4","12","-3","-19","6","0","24","10","0","-32","4","18","-2","24","0","22","-8","0","-8","-12","0","-16","0","0","-20","-12","0","-16","26","-24","2","6","0","8","9","0","14","8","12","6","-16","0","1","-30","0","-24","-10","9","-8","8","0","10","-6","0","-12","-32","-12","0","6","0","0","0","0","6","8","24","6","2","0","-8","-12","0","8","-12","0","-22","-16","0","-18","0","0","28","-4","-27","12","-4","0","1","16","0","4","2","-3","24","-6","0","-4","24","0","34","-10","0","4","-18","0","8","-2","0","26","20","-18","16","-8","0","-8","-32","0","0","8","-18","-12","24","0","-12","18","0","5","2","0","32","-2","0","9","0","0","-4","0","12","-4","0","0","-32","1","0","-4","12","-12","-10","-16","0","-12","30","0","40","1","0","-14","-12","0","32","-8","0","6","10","6","12","-4","0","-24","-8","0","-7","6","24","0","-36","0","-12","4","0","-18","-36","0","14","16","0","2","-18","0","-8","-14","6","-4","0","0","32","22","0","-20","-42","12","48","4","0","26","-24","0","-6","12","36","0","26","0","40","-24","0","-24","4","-3","26","-13","0","-2","0","0","-24","10","-18","14","36","0","0","-8","0","-2","-6","0","8","6","0","24","28","0","-38","32","-12","-12","5","0","16","0","0","-2","-48","-6","-10","12","0","-16","34","0","-4","-4","0","24","4","0","1","34","0","-18","-4","-12","-8","8","0","-18","-12","0","54","8","0","1","2","0","-4","16","0","0","-12","9","32","6","0","-24","6","0","-4","-6","-30","-32","12","0","-26","-20","0","0","0","6","-8","24","0","4","8","0","34","10","0","23","14","0","8","2","0","16","-32","0","-14","8","0","8","36","0","-36","14","48","-12","-20","0","-12","14","0","4","30","0","0","-4","0","26","-40","0","-26","0","-24","1","-16","0","-24","4","0","12","36","-3","-48","-19","0","6","-2","0","-36","24","-27","10","16","0","14","-32","0","4","-16","18","16","-2","0","24","44","0","6","22","0","-8","-48","0","-32","-8","0","-12","-12","0","22","-16","0","0","-22","0","-72","-20","-6","-12","-48","0","50","-16","0","26","14","-24","-4","2","0","6","0","0","0","8","0","9","-18","0","0","14","0","8","-24","12","-12","6","0","-16","-18","0","-16","1","-3","-30","-40","0","16","-24","0","-10","-22","9","20","-8","0","8","-24","0","0","10","-72","-6","-42","0","56","-12","0","-32","0","-12","30","0","0","6","18","0","24","0","0","0","4","0","-25","6","0","8","23","24","20","6","0","2","-8","0","14","-8","0","-12","-14","0","-56","8","0","-12","-12","0","14","-22","0","-16","-32","0","24","-18","-6","0","4","0","-26","28","0","-4","2","-27","32","12","0","-4","-28","0","-48","1","-36","16","0","0","4","4","0","2","8","-3","12","24","0","-6","6","0","52","-4","30","24","24","0","0","34","0","-10","-16","0","20","4","0","-18","0","0","-2","8","36","-2","34","0","0","26","0","20","-8","-18","26","16","0","-8","-18","0","-24","-8","0","-32","-28","0","60","0","0","8","-30","-18","-20","-12","0","24","-56","0","-15","-12","36","18","26","0","-44","5","0","2","-36","0","-80","32","0","-2","50","0","-4","9","54","0","24","0","14","-4","0","0","32","12","20","-4","0","0","-16","0","38","-32","0","1"],"lmfdb":"agrees","curve":{"cremona":"890h1","lmfdb":"890.h","ainvs":[1,-1,1,-52,151],"rank":0,"torsion":4},"derived":{"al":[[2,-1],[5,-1],[89,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.i","letter":"i","dim":2,"charpoly":["-402","-3","1"],"traces":["2","-2","-1","2","-2","1","-4","-2","11","2","-7","-1","-4","4","1","2","4","-11","-2","-2","2","7","6","1","2","4","-19","-4","6","-1","-16","-2","-13","-4","4","11","6","2","2","2","20","-2","-15","-7","-11","-6","5","-1","-6","-2","-2","-4","-3","19","7","4","-32","-6","-6","1","-3","16","-22","2","4","13","-10","4","-36","-4","0","-11","18","-6","-1","-2","14","-2","-4","-2","26","-20","-15","2","-4","15","30","7","-2","11","8","6","8","-5","2","1","-20","6","-22","2","17","2","8","4","-2","3","-8","-19","-18","-7","-36","-4","-5","32","-6","6","-22","6","-8","-1","19","3","-10","-16","-2","22","12","-2","-9","-4","-21","-13","4","10","19","-4","-14","36","-19","4","47","0","14","11","-6","-18","3","6","27","1","11","2","22","-14","16","2","-17","4","-15","2","-12","-26","-4","20","13","15","3","-2","-18","4","22","-15","-33","-30","-4","-7","36","2","-4","-11","-19","-8","51","-6","-6","-8","-14","5","38","-2","39","-1","-19","20","-2","-6","10","22","28","-2","38","-17","-12","-2","-20","-8","66","-4","40","2","16","-3","0","8","15","19","32","18","24","7","-8","36","-4","4","11","5","-8","-32","-13","6","26","-6","-10","22","-5","-6","68","8","27","1","-26","-19","-88","-3","6","10","4","16","-9","2","33","-22","12","-12","2","2","-26","9","-12","4","0","21","-5","13","3","-4","1","-10","38","-19","4","4","-4","14","-7","-36","7","19","-88","-4","8","-47","-12","0","32","-14","-40","-11","-26","6","10","18","6","-3","6","-6","17","-27","-12","-1","30","-11","-25","-2","3","-22","-8","14","-70","-16","2","-2","-27","17","22","-4","-51","15","-54","-2","4","12","-4","26","-4","4","-24","-20","-10","-13","-37","-15","66","-3","10","2","9","18","-47","-4","56","-22","40","15","36","33","-4","30","-2","4","38","7","-27","-36","0","-2","4","4","-28","11","30","19","106","8","-18","-51","-51","6","110","6","6","8","29","14","1","-5","-12","-38","-32","2","-6","-39","-36","1","-14","19","-66","-20","-9","2","12","6","-39","-10","4","-22","-6","-28","64","2","-27","-38","32","17","-26","12","12","2","11","20","-26","8","12","-66","15","4","59","-40","0","-2","-34","-16","-22","3","4","0","6","-8","26","-15","-12","-19","65","-32","-30","-18","60","-24","-11","-7","-33","8","-36","-36","2","4","-63","-4","-40","-11","-70","-5","-55","8","-8","32","10","13","-38","-6","14","-26","12","6","-8","10","60","-22","20","5","-41","6","69","-68","-2","-8","0","-27","-12","-1","-12","26","72","19","20","88","-9","3","-64","-6","-48","-10","12","-4","22","-16","0","9","-8","-2","81","-33","12","22","-17","-12","9","12","48","-2","-36","-2","-80","26","-8","-9","-67","12","-33","-4","4","0","-16","-21","2","5","-32","-13","38","-3","-66","4","-40","-1","8","10","68","-38","21","19","-9","-4","59","-4","18","4","40","-14","-66","7","-72","36","8","-7","36","-19","-18","88","30","4","-26","-8","-12","47","5","12","-52","0","-26","-32","40","14","-3","40","6","11","-23","26","59","-6","30","-10","27","-18","22","-6","54","3","16","-6","28","6","-9","-17","8","27","52","12","31","1","-29","-30","-88","11","-19","25","24","2","-60","-3","-10","22","17","8","10","-14","11","70","33","16","-156","-2","4","2","2","27","112","-17","12","-22","4","4","58","51","-12","-15","12","54","0","2","-17","-4","-28","-12","9","4","-34","-26","-12","4","-16","-4","-10","24","21","20","66","10","-41","13","-57","37","4","15","-4","-66","-48","3","-64","-10","-39","-2","-14","-9","-19","-18","0","47","40","4","4","-56","15","22","14","-40","89","-15","6","-36","-15","-33","44","4","19","-30","40","2","104","-4","34","-38","60","-7","-47","27","-34","36","11","0","-88","2","-48","-4","-14","-4","-63","28","-9","-11","-16","-30","-20","-19","6","-106","-24","-8","98","18","-30","51","-16","51","-3","-6","2","-110","36","-6","64","-6","18","-8","-27","-29","-66","-14","16","-1","70","5","-33","12","-11","38","-40","32","60","-2","-101","6","36","39","-22","36","12","-1","-13","14","112","-19","2","66","-16","20","72","9","-20","-2","0","-12","42","-6","17","39","44","10","-47","-4","10","22","6","6","15","28","13","-64","10","-2","-11","27","-96","38","12","-32","-52","-17","13","26","56","-12","-68","-12","4","-2","48","-11","44","-20","40","26","-39","-8","-13","-12","-48","66","2","-15","-53","-4","-12","-59","-3","40","152","0","7","2","26","34","62","16","18","22","-38","-3","72","-4","84","0","-6","-6","-22","8","-17","-26","0","15","20","12","-6","19","33","-65","13","32","-52","30","20","18","-110","-60","4","24","-60","11","96","7","79","33","41","-8","-36","36","34","36","-24","-2","41","-4","-104","63","4","4","72","40","-48","11","-6","70","18","5","19","55","86","-8","110","8","-80","-32","69","-10","-51","-13","42","38","37","6","4","-14","0","26","6","-12","110","-6","-81","8","6","-10","-34","-60","14","22","-24","-20","-69","-5","-29","41","60","-6","-38","-69","-30","68","-36","2","9","8","58","0","-39","27","-138","12","28","1","66","12","-44","-26","19","-72","-26","-19","-64","-20","-72","-88","38","9","2","-3","-12","64","7","6","-66","48","-23","10","-10","-12","-94","4","-12","-22","-89","16","-31","0","-28","-9","-47","8","-156","2"],"lmfdb":"agrees","derived":{"al":[[2,1],[5,1],[89,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.j","letter":"j","dim":2,"charpoly":["216","108","1"],"traces":["2","2","0","2","-2","0","-6","2","-6","-2","0","0","-2","-6","0","2","-8","-6","-8","-2","0","0","-2","0","2","-2","0","-6","-2","0","2","2","0","-8","6","-6","-2","-8","0","-2","0","0","-4","0","6","-2","-12","0","10","2","0","-2","-4","0","0","-6","0","-2","12","0","-10","2","18","2","2","0","4","-8","0","6","20","-6","16","-2","0","-8","-12","0","0","-2","18","0","4","0","8","-4","0","0","2","6","0","-2","0","-12","8","0","-28","10","0","2","-10","0","6","-2","0","-4","0","0","8","0","0","-6","-20","0","2","-2","6","12","24","0","2","-10","0","2","-2","18","-6","2","0","2","0","0","12","4","0","-8","-24","0","-16","6","0","20","12","-6","2","16","0","-2","6","0","34","-8","24","-12","-2","0","-20","0","0","-2","24","18","4","0","0","4","-12","0","-18","8","24","-4","24","0","-6","0","0","2","24","6","-34","0","0","-2","2","0","0","-12","0","8","6","0","16","-28","0","10","-18","0","-40","2","0","-10","36","0","0","6","6","-2","24","0","16","-4","0","0","4","0","12","8","0","0","8","0","-12","-6","-6","-20","24","0","-18","2","0","-2","0","6","12","12","0","24","-6","0","-8","2","0","-10","-10","0","20","2","0","-2","48","18","-36","-6","0","2","-40","0","24","2","6","0","12","0","4","12","0","4","4","0","-28","-8","0","-24","0","0","-12","-16","-6","6","12","0","-52","20","0","12","-36","-6","-2","2","0","16","-14","0","-12","-2","0","6","-16","0","24","34","0","-8","10","24","-28","-12","0","-2","44","0","-24","-20","-18","0","-20","0","-60","-2","0","24","32","18","-2","4","0","0","24","0","-8","4","6","-12","-4","0","12","-18","0","8","-36","24","-24","-4","0","24","16","0","38","-6","0","0","-36","0","-20","2","0","24","-6","6","18","-34","0","0","-16","0","24","-2","0","2","12","0","0","0","0","-12","-28","0","-8","8","0","6","-22","0","12","16","12","-28","-2","0","8","10","0","-18","0","0","-62","-40","0","2","12","0","-20","-10","-18","36","-36","0","4","0","0","6","-12","6","-4","-2","0","24","12","0","-54","16","36","-4","-8","0","36","0","0","4","22","0","-40","12","0","8","-28","0","42","0","-30","8","-12","0","-2","-12","0","-6","12","-6","72","-20","0","24","0","0","16","-18","0","2","-24","0","-28","-2","0","0","48","6","-60","12","0","12","-24","0","-8","24","12","-6","8","0","-16","-8","0","2","28","0","-60","-10","0","-10","52","0","8","20","0","2","-72","0","12","-2","0","48","-6","18","10","-36","0","-6","48","0","-48","2","0","-40","-6","0","24","24","0","2","-16","6","4","0","0","12","-8","0","10","4","-36","12","36","0","0","4","0","4","72","0","-50","-28","0","-8","-8","0","16","-24","30","0","-52","0","-24","-12","0","-16","-6","-6","-8","6","0","12","0","0","20","-52","-54","20","0","0","-12","12","0","-36","-2","-6","-36","-2","0","2","-48","0","0","16","-6","-14","-4","0","-44","-12","0","-2","-4","0","-24","6","0","-16","30","0","20","24","-12","34","-2","0","16","-8","0","10","24","24","64","-28","0","-12","-12","0","-40","-2","0","44","-6","0","2","-24","0","-20","8","-18","-28","0","0","-20","6","0","26","-60","-60","-2","-4","0","20","24","0","32","-30","18","-48","-2","0","4","34","0","0","0","-48","24","56","0","46","-8","0","4","-12","6","92","-12","0","-4","-12","0","8","12","0","-18","-18","0","84","8","0","-36","-12","24","24","-24","0","-4","4","0","0","24","36","16","16","0","0","38","0","-6","12","0","-28","0","0","-36","60","0","-54","-20","0","2","52","0","-12","24","0","-6","-22","6","-24","18","0","-34","-2","0","-22","0","-54","-16","16","0","8","24","0","-2","96","0","12","2","0","12","18","0","-6","0","-12","0","24","0","-4","-12","0","-28","-34","0","0","-8","0","8","-12","0","-60","6","-24","-22","-36","0","-20","12","0","16","6","12","2","-28","0","-2","72","0","24","8","0","10","20","0","-32","-18","0","0","72","0","4","-62","0","-40","72","0","48","2","-6","12","0","0","-24","-20","0","-10","12","-18","-64","36","0","-36","-4","0","-8","4","0","0","-40","0","12","6","0","-12","56","6","46","-4","0","-2","-40","0","12","24","0","12","-34","0","94","-54","0","16","18","36","-6","-4","0","-8","56","0","-34","36","-24","0","88","0","-8","4","0","22","54","0","-24","-40","0","12","48","0","44","8","84","-28","6","0","86","42","0","0","-36","-30","4","8","0","-12","18","0","24","-2","0","-12","72","0","-24","-6","0","12","88","-6","16","72","0","-20","34","0","16","24","30","0","-4","0","72","16","0","-18","60","0","-6","2","0","-24","-8","0","-2","-28","-18","-2","-36","0","32","0","0","48","0","6","-52","-60","0","12","6","0","-108","12","0","-24","12","0","-16","-8","0","24","-8","12","-6","-6","0","8","72","0","-6","-16","0","-8","-16","0","86","2","0","28","24","0","96","-60","0","-10","80","0","0","-10","-24","52","48","0","18","8","0","20","40","0","-38","2","0","-72","40","0","64","12","0","-2"],"lmfdb":"agrees","derived":{"al":[[2,-1],[5,1],[89,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.k","letter":"k","dim":3,"charpoly":["-2517","-1249","-49","1"],"traces":["3","-3","1","3","-3","-1","0","-3","2","3","-1","1","12","0","-1","3","-6","-2","-2","-3","-6","1","12","-1","3","-12","13","0","-8","1","6","-3","15","6","0","2","18","2","10","3","4","6","9","-1","-2","-12","3","1","-5","-3","-8","12","1","-13","1","0","-16","8","8","-1","7","-6","4","3","-12","-15","30","-6","16","0","0","-2","8","-18","1","-2","4","-10","12","-3","3","-4","5","-6","6","-9","-18","1","3","2","-16","12","20","-3","2","-1","14","5","34","3","-25","8","10","-12","6","-1","16","13","4","-1","0","0","1","16","-12","-8","4","-8","16","1","2","-7","38","6","-3","-4","-16","-3","17","12","-15","15","-4","-30","-13","6","-16","-16","11","0","-45","0","-8","2","8","-8","-23","18","-1","-1","-35","2","0","-4","-6","10","19","-12","-15","3","-32","-3","2","4","-15","-5","5","6","25","-6","-36","9","7","18","0","-1","0","-3","-20","-2","-23","16","-11","-12","-18","-20","6","3","10","-2","5","1","11","-14","-10","-5","-16","-34","32","-3","16","25","-4","-8","-4","-10","0","12","-34","-6","-18","1","-18","-16","-9","-13","-48","-4","12","1","-40","0","-20","0","2","-1","24","-16","11","12","-2","8","-16","-4","-3","8","-48","-16","31","-1","-34","-2","-20","7","5","-38","-4","-6","-55","3","23","4","-12","16","8","3","4","-17","16","-12","-40","15","-3","-15","-1","4","1","30","-48","13","20","-6","-8","16","-1","16","-9","-11","-8","0","-26","45","-8","0","16","8","-8","-2","-23","-8","20","8","-64","23","-8","-18","15","1","80","1","30","35","-19","-2","-7","0","44","4","-18","6","26","-10","21","-19","-4","12","-31","15","-32","-3","-22","32","0","3","12","-2","10","-4","-12","15","57","5","16","-5","-30","-6","45","-25","-17","6","-14","36","12","-9","-16","-7","8","-18","12","0","42","1","29","0","0","3","-4","20","22","2","-21","23","34","-16","-8","11","11","12","68","18","-4","20","37","-6","-1","-3","-28","-10","38","2","-42","-5","24","-1","-4","-11","64","14","-1","10","-56","5","-33","16","-12","34","58","-32","8","3","17","-16","72","-25","-3","4","-2","8","43","4","62","10","52","0","-5","-12","-11","34","-34","6","-44","18","-102","-1","-6","18","58","16","62","9","6","13","-49","48","18","4","0","-12","5","-1","-34","40","24","0","-3","20","-81","0","22","-2","64","1","-13","-24","16","16","-28","-11","-16","-12","40","2","-68","-8","-20","16","-8","4","-16","3","43","-8","55","48","-2","16","-34","-31","68","1","56","34","8","2","-14","20","-19","-7","4","-5","-14","38","12","4","-34","6","48","55","-40","-3","23","-23","6","-4","25","12","35","-16","22","-8","20","-3","-28","-4","-10","17","-105","-16","-43","12","4","40","-12","-15","-6","3","-60","15","43","1","52","-4","24","-1","-16","-30","-52","48","-29","-13","9","-20","-55","6","-4","8","14","-16","36","1","40","-16","4","9","0","11","2","8","6","0","-32","26","70","-45","-1","8","-48","0","-50","-16","-14","-8","-37","8","12","2","-15","23","41","8","-6","-20","-35","-8","-4","64","38","-23","8","8","4","18","29","-15","-16","-1","-32","-80","-23","-1","-41","-30","16","-35","-2","19","32","2","20","7","24","0","-51","-44","-38","-4","-13","18","-37","-6","32","-26","0","10","3","-21","-60","19","-20","4","28","-12","-34","31","16","-15","-32","32","12","3","-33","22","-24","-32","-17","0","-10","-3","44","-12","36","2","32","-10","15","4","44","12","41","-15","13","-57","-28","-5","4","-16","-24","5","-40","30","29","6","-36","-45","13","25","20","17","4","-6","32","14","15","-36","16","-12","23","9","8","16","103","7","-40","-8","-11","18","-16","-12","-54","0","44","-42","-16","-1","45","-29","6","0","-37","0","-92","-3","120","4","8","-20","27","-22","31","-2","12","21","-8","-23","-8","-34","10","16","-37","8","12","-11","-18","-11","23","-12","-14","-68","-42","-18","-72","4","-12","-20","1","-37","-116","6","28","1","-6","3","105","28","35","10","90","-38","64","-2","-17","42","-68","5","0","-24","-20","1","-81","4","78","11","0","-64","6","-14","-52","1","-68","-10","12","56","-54","-5","-19","33","14","-16","27","12","-66","-34","-30","-58","15","32","-35","-8","-18","-3","2","-17","36","16","32","-72","-68","25","-119","3","-8","-4","10","2","-2","-8","-64","-43","36","-4","6","-62","-61","-10","15","-52","-14","0","32","5","-49","12","22","11","-5","-34","-4","34","27","-6","-31","44","-82","-18","-25","102","-44","1","30","6","40","-18","28","-58","36","-16","-45","-62","-2","-9","0","-6","62","-13","-7","49","-5","-48","-104","-18","136","-4","44","0","0","12","78","-5","-24","1","15","34","-91","-40","0","-24","-30","0","8","3","-13","-20","102","81","20","0","56","-22","-4","2","-6","-64","-48","-1","23","13","2","24","-32","-16","36","-16","-121","28","11","11","-60","16","47","12","24","-40","-48","-2","18","68","-24","8","59","20","34","-16","64","8","-6","-4","46","16","33","-3","-43","-43","32","8","-10","-55","-38","-48","12","2","-29","-16","116","34","-5","31","-90","-68","0","-1","63","-56","-16","-34","-11","-8","-54","-2","40","14","124","-20","84","19","10","7","2","-4","-1","5","-48","14","75","-38","16","-12","6","-4","-24","34","-25","-6","-11","-48","-32","-55","-15","40","88","3"],"lmfdb":"agrees","derived":{"al":[[2,1],[5,1],[89,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.l","letter":"l","dim":5,"charpoly":["199389900","-18812200","534543","-1855","-111","1"],"traces":["5","5","1","5","-5","1","8","5","4","-5","1","1","6","8","-1","5","8","4","6","-5","12","1","6","1","5","6","7","8","-4","-1","16","5","-9","8","-8","4","8","6","-4","-5","6","12","-3","1","-4","6","11","1","13","5","-14","6","-17","7","-1","8","10","-4","-6","-1","1","16","2","5","-6","-9","12","8","-4","-8","-26","4","-8","8","1","6","6","-4","12","-5","-19","6","-15","12","-8","-3","-6","1","-5","-4","-12","6","-24","11","-6","1","28","13","-34","5","-27","-14","4","6","-12","-17","-6","7","6","-1","-22","8","-35","10","-6","-4","12","-6","-36","-1","-20","1","-40","16","-5","2","16","5","-23","-6","-25","-9","4","12","-7","8","4","-4","13","-8","-43","-26","-6","4","4","-8","25","8","1","1","15","6","8","6","-16","-4","41","12","-23","-5","-4","-19","-12","6","9","-15","21","12","19","-8","-42","-3","5","-6","8","1","52","-5","-36","-4","15","-12","-7","6","-8","-24","0","11","36","-6","-33","1","-17","28","4","13","16","-34","40","5","26","-27","-28","-14","-6","4","2","6","48","-12","-68","-17","0","-6","3","7","40","6","-60","-1","-24","-22","20","8","4","-35","-16","10","21","-6","-60","-4","-10","12","-11","-6","48","-36","-7","-1","16","-20","-38","1","-13","-40","4","16","-27","-5","-27","2","4","16","14","5","46","-23","0","-6","4","-25","29","-9","17","4","-1","12","12","-7","-42","8","-48","4","1","-4","17","13","-10","-8","-6","-43","-42","-26","-10","-6","8","4","59","4","-42","-8","28","25","6","8","15","1","-48","1","4","15","17","6","-1","8","8","6","54","-16","0","-4","49","41","-2","12","31","-23","-8","-5","8","-4","24","-19","6","-12","60","6","42","9","-21","-15","-56","21","-12","12","9","19","9","-8","26","-42","76","-3","4","5","0","-6","48","8","-8","1","41","52","26","-5","56","-36","-40","-4","29","15","-8","-12","8","-7","51","6","36","-8","-50","-24","-53","0","-1","11","72","36","44","-6","-44","-33","40","1","-6","-17","38","28","-47","4","92","13","-37","16","-12","-34","20","40","-76","5","13","26","8","-27","19","-28","64","-14","-41","-6","-42","4","68","2","15","6","33","48","-32","-12","-4","-68","-2","-17","8","0","-72","-6","16","3","-4","7","75","40","6","6","16","-60","31","-1","44","-24","-34","-22","5","20","-29","8","-46","4","-30","-35","57","-16","12","10","0","21","-22","-6","-38","-60","28","-4","24","-10","30","12","32","-11","3","-6","-41","48","6","-36","-54","-7","-38","-1","72","16","64","-20","-28","-38","41","1","36","-13","-24","-40","-40","4","34","16","-20","-27","0","-5","73","-27","72","2","27","4","67","16","-14","14","-104","5","-6","46","-4","-23","13","0","-3","-6","22","4","52","-25","12","29","8","-9","-39","17","2","4","76","-1","6","12","12","12","-31","-7","75","-42","45","8","-6","-48","-76","4","16","1","-8","-4","4","17","22","13","28","-10","60","-8","50","-6","4","-43","35","-42","0","-26","-4","-10","-12","-6","89","8","6","4","-59","59","-21","4","-56","-42","37","-8","-12","28","-64","25","-4","6","56","8","9","15","36","1","8","-48","-85","1","-5","4","72","15","20","17","96","6","-72","-1","-2","8","103","8","40","6","47","54","-3","-16","0","0","-8","-4","5","49","-14","41","-24","-2","28","12","-82","31","-16","-23","-46","-8","-28","-5","55","8","30","-4","23","24","-86","-19","-8","6","4","-12","-48","60","25","6","-16","42","-29","9","31","-21","-8","-15","-4","-56","-60","21","-36","-12","-15","12","-28","9","7","19","86","9","136","-8","4","26","19","-42","-4","76","-1","-3","-138","4","57","5","-76","0","-13","-6","-56","48","40","8","-36","-8","100","1","43","41","-60","52","-67","26","92","-5","16","56","6","-36","33","-40","-135","-4","84","29","-18","15","-4","-8","-24","-12","-71","8","-86","-7","-78","51","-25","6","-60","36","92","-8","132","-50","30","-24","-1","-53","-14","0","-160","-1","20","11","-75","72","-15","36","42","44","8","-6","11","-44","-36","-33","-8","40","-116","1","135","-6","-112","-17","-72","38","16","28","-168","-47","-136","4","2","92","-22","13","-41","-37","-32","16","57","-12","4","-34","-16","20","23","40","11","-76","-16","5","-4","13","8","26","4","8","12","-27","-51","19","32","-28","-160","64","12","-14","-138","-41","-92","-6","32","-42","-13","4","-9","68","-96","2","-28","15","39","6","-140","33","-21","48","64","-32","-39","-12","-65","-4","-162","-68","-19","-2","-6","-17","-80","8","-40","0","-52","-72","42","-6","35","16","16","3","8","-4","38","7","-5","75","-205","40","-80","6","-48","6","12","16","-8","-60","-110","31","-24","-1","79","44","65","-24","-52","-34","-90","-22","8","5","73","20","-80","-29","36","8","-48","-46","-24","4","136","-30","10","-35","-15","57","-144","-16","-52","12","4","10","-1","0","7","21","-46","-22","65","-6","112","-38","-108","-60","8","28","10","-4","-33","24","-118","-10","-122","30","0","12","-52","32","95","-11","47","3","-60","-6","-36","-41","8","48","44","6","59","-36","-28","-54","33","-7","34","-38","-36","-1","-35","72","108","16","17","64","22","-20","80","-28","-56","-38","-50","41","-4","1","-14","36","-1","-13","164","-24","-69","-40","-16","-40","20","4","-76","34","29","16","-119","-20","-40","-27","-137","0","22","-5"],"lmfdb":"agrees","derived":{"al":[[2,-1],[5,1],[89,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.m","letter":"m","dim":5,"charpoly":["6534984","17559576","681043","-12565","-69","1"],"traces":["5","5","1","5","5","1","0","5","12","5","3","1","0","0","1","5","6","12","2","5","-6","3","-8","1","5","0","-11","0","8","1","10","5","11","6","0","12","14","2","6","5","16","-6","-7","3","12","-8","-7","1","-7","5","-12","0","-1","-11","3","0","-40","8","8","1","17","10","24","5","0","11","-18","6","0","0","8","12","0","14","1","2","-24","6","-24","5","5","16","-11","-6","6","-7","-46","3","5","12","-28","-8","-4","-7","2","1","10","-7","-50","5","25","-12","26","0","-6","-1","-44","-11","8","3","-12","0","5","-40","-8","8","-24","8","-8","1","4","17","-10","10","5","24","-4","5","-15","0","-3","11","20","-18","-11","6","-16","0","-13","0","-3","8","24","12","8","0","-55","14","-15","1","31","2","32","-24","10","6","-11","-24","19","5","-28","5","10","16","11","-11","-65","-6","-37","6","8","-7","-7","-46","0","3","-52","5","-12","12","31","-28","-25","-8","14","-4","-14","-7","-62","2","39","1","7","10","6","-7","-32","-50","28","5","-20","25","-16","-12","16","26","-92","0","-2","-6","6","-1","-6","-44","-7","-11","28","8","-36","3","8","-12","-28","0","12","5","-28","-40","37","-8","62","8","-16","-24","-7","8","52","-8","-11","1","10","4","-12","17","-7","-10","-20","10","41","5","15","24","68","-4","-12","5","-40","-15","20","0","16","-3","-1","11","-1","20","1","-18","16","-11","20","6","48","-16","3","0","1","-13","48","0","6","-3","4","8","-40","24","-8","12","7","8","4","0","4","-55","8","14","3","-15","28","1","14","31","-65","2","17","32","32","-24","10","10","-18","6","25","-11","24","-24","-25","19","8","5","46","-28","-56","5","0","10","-18","16","32","11","41","-11","124","-65","-18","-6","17","-37","7","6","-18","8","12","-7","0","-7","-12","-46","-36","0","62","3","-7","-52","8","5","-76","-12","-14","12","45","31","-14","-28","0","-25","73","-8","56","14","-24","-4","27","-14","1","-7","16","-62","6","2","26","39","-32","1","-24","7","-24","10","57","6","32","-7","35","-32","-24","-50","78","28","16","5","25","-20","-28","25","5","-16","-82","-12","19","16","70","26","12","-92","-11","0","9","-2","-14","-6","36","6","-26","-1","6","-6","34","-44","-62","-7","42","-11","59","28","-46","8","-48","-36","23","3","4","8","-64","-12","5","-28","69","0","22","12","-8","5","17","-28","-28","-40","-20","37","-44","-8","100","62","36","8","-4","-16","-80","-24","56","-7","97","8","3","52","2","-8","38","-11","40","1","-20","10","24","4","10","-12","7","17","84","-7","-14","-10","44","-20","-50","10","56","41","28","5","-7","15","-106","24","25","68","-61","-4","18","-12","20","5","-60","-40","26","-15","5","20","103","0","-4","16","20","-3","-6","-1","4","11","57","-1","40","20","8","1","-44","-18","-20","16","-25","-11","-9","20","3","6","8","48","30","-16","124","3","64","0","-76","1","-12","-13","-46","48","-14","0","44","6","-82","-3","5","4","96","8","2","-40","30","24","57","-8","-8","12","45","7","-23","8","-62","4","-41","0","-24","4","-14","-55","24","8","-112","14","57","3","-8","-15","-84","28","19","1","19","14","-44","31","4","-65","40","2","-12","17","-32","32","-37","32","-10","-24","-49","10","11","10","-56","-18","0","6","5","25","60","-11","60","24","40","-24","90","-25","-4","19","-12","8","116","5","-97","46","28","-28","-15","-56","14","5","-16","0","-60","10","-16","-18","-3","16","52","32","5","11","75","41","76","-11","20","124","12","-65","0","-18","-73","-6","-32","17","-11","-37","64","7","20","6","-220","-18","-33","8","-16","12","29","-7","24","0","19","-7","-96","-12","-13","-46","104","-36","-46","0","-64","62","-8","3","-3","-7","-2","-52","37","8","-60","5","-44","-76","24","-12","1","-14","13","12","56","45","-32","31","8","-14","86","-28","69","0","-80","-25","46","73","-55","-8","-10","56","-70","14","-16","-24","-84","-4","-15","27","-36","-14","52","1","30","-7","21","16","31","-62","42","6","56","2","-45","26","-28","39","32","-32","-12","1","-129","-24","26","7","-52","-24","10","10","-100","57","-52","6","-92","32","-42","-7","-11","35","86","-32","-75","-24","-98","-50","-34","78","19","28","-29","16","-42","5","12","25","-52","-20","-28","-28","-24","25","13","5","0","-16","86","-82","10","-12","96","19","-88","16","-58","70","-95","26","11","12","-38","-92","-56","-11","29","0","18","9","-65","-2","-84","-14","97","-6","-21","36","106","6","-37","-26","24","-1","-10","6","-140","-6","24","34","8","-44","-153","-62","-6","-7","-88","42","-118","-11","-7","59","43","28","-12","-46","-56","8","104","-48","0","-36","10","23","56","3","-85","4","-35","8","-52","-64","30","-12","-84","5","-177","-28","34","69","-12","0","-24","22","0","12","-86","-8","52","5","31","17","-26","-28","-48","-28","56","-40","3","-20","-25","37","-72","-44","-155","-8","-160","100","-56","62","14","36","100","8","87","-4","78","-16","152","-80","-14","-24","-6","56","-119","-7","-205","97","16","8","-62","3","-46","52","-20","2","-23","-8","-44","38","39","-11","42","40","16","1","-107","-20","-96","10","7","24","30","4","-184","10","-52","-12","40","7","6","17","-150","84","3","-7","-92","-14","49","-10","-32","44","-22","-20","-32","-50","125","10","113","56","28","41","7","28","12","5"],"lmfdb":"agrees","derived":{"al":[[2,-1],[5,-1],[89,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"890.2.a.n","letter":"n","dim":6,"charpoly":["-2300296392","-199484612","1440846","263913","-1521","-97","1"],"traces":["6","-6","3","6","6","-3","6","-6","13","-6","9","3","6","-6","3","6","-6","-13","10","6","0","-9","-4","-3","6","-6","15","6","-2","-3","16","-6","-13","6","6","13","4","-10","0","-6","4","0","-5","9","13","4","5","3","26","-6","18","6","-17","-15","9","-6","2","2","6","3","5","-16","8","6","6","13","20","-6","-20","-6","26","-13","-18","-4","3","10","-14","0","4","6","42","-4","7","0","-6","5","38","-9","-6","-13","68","-4","-12","-5","10","-3","34","-26","-6","6","1","-18","30","-6","0","17","-6","15","24","-9","46","6","-15","-2","-4","-2","8","-6","-44","-3","41","-5","-60","16","6","-8","14","-6","-35","-6","23","-13","-4","-20","15","6","-28","20","21","6","67","-26","-14","13","-2","18","-5","4","-23","-3","-11","-10","-58","14","16","0","-19","-4","-109","-6","0","-42","-2","4","-13","-7","-45","0","-10","6","74","-5","-79","-38","6","9","-56","6","-16","13","23","-68","-9","4","4","12","-4","5","-80","-10","-7","3","-5","-34","0","26","-24","6","-8","-6","-10","-1","-44","18","4","-30","-40","6","-64","0","28","-17","-8","6","-5","-15","-20","-24","-56","9","-44","-46","0","-6","13","15","36","2","13","4","-56","2","-40","-8","5","6","-92","44","-17","3","14","-41","68","5","26","60","-4","-16","-47","-6","-27","8","-56","-14","18","6","-20","35","16","6","-18","-23","-9","13","-17","4","-3","20","14","-15","-10","-6","16","28","9","-20","-31","-21","-14","-6","-4","-67","38","26","2","14","-4","-13","-2","2","-22","-18","-52","5","6","-4","11","23","0","3","-16","11","23","10","5","58","-36","-14","26","-16","-20","0","21","19","8","4","27","109","52","6","-36","0","-8","42","6","2","80","-4","-50","13","19","7","-40","45","20","0","-31","10","21","-6","114","-74","36","5","-20","79","32","38","18","-6","-80","-9","17","56","26","-6","8","16","-24","-13","42","-23","70","68","-18","9","5","-4","26","-4","-10","-12","35","4","3","-5","-44","80","12","10","-36","7","66","-3","-14","5","24","34","-23","0","-12","-26","-33","24","4","-6","4","8","-68","6","-1","10","-20","1","42","44","0","-18","9","-4","54","30","12","40","7","-6","13","64","44","0","18","-28","74","17","-6","8","60","-6","-56","5","-8","15","-41","20","38","24","32","56","29","-9","49","44","26","46","-6","0","45","6","-20","-13","-38","-15","7","-36","68","-2","-36","-13","30","-4","-28","56","116","-2","-12","40","118","8","-92","-5","-39","-6","-69","92","10","-44","0","17","-66","-3","16","-14","112","41","34","-68","11","-5","-32","-26","84","-60","112","4","-6","16","92","47","-32","6","-73","27","18","-8","1","56","-23","14","-8","-18","-80","-6","42","20","30","-35","-1","-16","-89","-6","-52","18","12","23","0","9","52","-13","-42","17","-22","-4","-4","3","-6","-20","108","-14","113","15","-73","10","-21","6","24","-16","34","-28","-138","-9","-40","20","20","31","46","21","-44","14","-16","6","118","4","-50","67","-15","-38","14","-26","86","-2","-64","-14","-73","4","-4","13","13","2","-97","-2","20","22","19","18","8","52","36","-5","-4","-6","-24","4","-59","-11","-44","-23","68","0","109","-3","57","16","52","-11","41","-23","12","-10","-104","-5","-50","-58","-37","36","-60","14","-13","-26","93","16","-56","20","-6","0","6","-21","-94","-19","20","-8","-44","-4","-46","-27","14","-109","78","-52","20","-6","-7","36","106","0","-35","8","20","-42","44","-6","-156","-2","-60","-80","23","4","-250","50","75","-13","11","-19","8","-7","-4","40","-108","-45","100","-20","-61","0","26","31","15","-10","94","-21","-28","6","64","-114","-3","74","-28","-36","-15","-5","-10","20","121","-79","-200","-32","21","-38","-44","-18","-100","6","-14","80","-100","9","67","-17","-40","-56","41","-26","-240","6","-84","-8","-14","-16","159","24","31","13","8","-42","10","23","-2","-70","-74","-68","-2","18","-14","-9","20","-5","-5","4","64","-26","20","4","-68","10","-40","12","-23","-35","124","-4","16","-3","8","5","-223","44","-11","-80","-76","-12","-176","-10","5","36","144","-7","-58","-66","12","3","-27","14","-120","-5","-88","-24","16","-34","232","23","152","0","-34","12","86","26","-19","33","-34","-24","23","-4","-20","6","60","-4","-109","-8","67","68","12","-6","-13","1","144","-10","0","20","-140","-1","-13","-42","-164","-44","-80","0","-2","18","134","-9","140","4","46","-54","61","-30","-13","-12","54","-40","-102","-7","13","6","-122","-13","-45","-64","-16","-44","75","0","46","-18","86","28","-10","-74","80","-17","-72","6","16","-8","-52","-60","74","6","11","56","32","-5","-120","8","-28","-15","-79","41","-119","-20","92","-38","-92","-24","226","-32","6","-56","6","-29","-292","9","-87","-49","-1","-44","-56","-26","-40","-46","4","6","49","0","-32","-45","-16","-6","112","20","136","13","-112","38","-94","15","23","-7","68","36","-118","-68","144","2","91","36","-9","13","190","-30","-49","4","0","28","92","-56","4","-116","64","2","73","12","-98","-40","18","-118","-4","-8","-118","92","115","5","75","39","72","6","-80","69","72","-92","-80","-10","-31","44","20","0","-7","-17","294","66","24","3","38","-16","-128","14","-5","-112","52","-41","104","-34","44","68","-42","-11","0","5","32","32","-9","26","266","-84","-43","60","-24","-112","136","-4","60","6","-125","-16","61","-92","-8","-47","-49","32","94","-6"],"lmfdb":"agrees","derived":{"al":[[2,1],[5,-1],[89,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.956,"computed":"atlas","estimate":{"seconds":0.906,"low":0.552,"high":1.567,"bytes":2460261},"url":"https://sagebrush.space/atlas/mf/890.2.a"}