{"label":"915.2.a","level":915,"weight":2,"dims":{"new":39,"cusp":121,"eisenstein":7,"modsym":249},"old":[[15,1,2],[61,4,4],[183,11,2],[305,21,2]],"T":[[2,1],[7,1]],"status":"proven","checks":["dim M^+ at levels [1, 3, 5, 15, 61, 183, 305, 915]: [0, 1, 1, 4, 5, 22, 32, 128] (certified at ell = 2147482921)","T = [(2, 1), (7, 1)]; h of degree 39 = 1 x 39 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"915.2.a.a","letter":"a","dim":1,"charpoly":["3","1"],"traces":["1","-1","1","-1","1","-1","-2","3","1","-1","-2","-1","-2","2","1","-1","-2","-1","-4","-1","-2","2","0","3","1","2","1","2","0","-1","0","-5","-2","2","-2","-1","-4","4","-2","3","-10","2","10","2","1","0","-8","-1","-3","-1","-2","2","-6","-1","-2","-6","-4","0","6","-1","-1","0","-2","7","-2","2","-10","2","0","2","-14","3","-2","4","1","4","4","2","12","-1","1","10","4","2","-2","-10","0","-6","-16","-1","4","0","0","8","-4","-5","10","3","-2","-1","-12","2","4","-6","-2","6","4","-1","-14","2","-4","2","-2","4","0","0","-2","-6","4","3","-7","1","-10","0","1","2","12","3","10","2","-4","2","8","10","1","-6","6","0","16","2","-8","14","4","-1","0","2","-3","4","-14","-1","8","-12","-2","-4","0","2","8","-12","-6","-5","0","-1","-12","10","-2","-4","0","-6","-9","2","-4","-10","22","0","-2","2","6","16","0","-1","2","-4","-1","0","-4","0","4","8","-2","4","-6","7","16","-10","-2","3","6","2","0","3","-10","12","0","2","-10","-4","0","2","8","2","-8","6","-14","-4","10","3","0","14","-2","2","4","4","14","10","1","2","24","4","6","0","4","0","22","2","-8","-6","12","-4","8","-1","18","7","1","1","-3","10","8","0","4","-1","6","2","0","-12","-2","-17","2","-10","8","2","0","4","8","-6","-6","-8","-16","10","6","-1","8","2","4","-6","-2","0","-8","-16","0","-6","12","8","0","14","-4","-4","20","-5","-13","0","10","2","-6","3","6","-12","-2","14","0","-1","-20","-8","-12","4","-1","2","2","-4","4","0","-18","-6","-12","-8","-2","-12","-30","6","0","7","4","0","8","-1","-2","12","-14","-30","16","2","28","-4","-4","0","-10","2","4","9","-2","2","0","4","20","30","0","-22","-28","0","-6","2","-2","10","-2","-6","-14","16","4","0","6","3","-3","-2","-7","-4","-2","1","-4","0","-10","4","12","0","8","-4","1","-24","0","2","-20","4","12","6","-4","3","4","-16","10","-10","-20","2","0","-9","-4","-6","12","2","32","0","8","-1","-32","10","0","12","1","0","8","-6","6","10","6","-4","-12","0","4","10","16","-8","10","2","-10","8","-8","-18","-2","14","2","-4","4","-10","-36","-1","-20","0","0","14","0","2","-24","-6","-3","-4","12","4","-16","-14","-14","-14","22","-1","20","2","8","-24","4","-12","-8","-6","-2","0","-6","-4","-4","0","0","-22","-16","2","20","8","8","18","-20","-12","-4","-4","-6","-8","-40","-5","8","-18","0","7","10","-1","-36","-3","-12","3","8","10","0","-8","-2","0","28","-4","-20","-1","0","-6","-8","-6","-12","0","-9","-12","-20","2","4","11","-4","-2","4","-10","16","-8","22","-6","28","0","-30","4","-2","-8","0","2","-23","6","6","-8","20","16","4","-30","0","-6","6","-1","10","-8","2","10","-14","-4","-2","-6","-1","2","0","0","-24","8","-4","-16","2","0","-20","2","4","-12","20","8","-2","0","-2","-42","6","4","44","-4","-6","-20","0","7","-20","13","16","0","-8","-10","12","-6","-2","6","-16","3","0","-6","6","4","-30","2","4","14","0","0","-38","3","38","20","-10","-8","-7","12","-8","20","0","1","16","2","-42","-2","-10","12","22","-4","44","0","0","18","32","2","1","12","8","-8","8","2","28","36","-8","30","12","6","6","0","-14","3","-8","-4","26","0","10","-8","0","3","-12","2","0","12","-14","14","-4","10","-2","-16","8","2","-14","-28","4","12","8","4","0","0","14","10","2","10","32","-4","1","9","-14","2","-20","-6","24","0","-4","4","6","-20","6","-10","12","0","4","-22","4","28","16","0","20","6","22","2","-12","2","16","-14","-8","2","24","-6","38","14","12","-48","0","-4","4","0","8","-6","20","-1","-8","3","18","-2","0","7","8","12","1","2","-20","1","22","4","-3","0","20","10","24","4","8","-12","-24","0","-14","-8","4","-4","-8","-1","32","8","6","0","8","2","-30","20","0","-12","4","-12","28","6","-2","4","-12","-17","14","-4","2","-16","14","-10","0","30","8","20","40","2","28","0","0","3","8","4","-42","-6","8","-12","4","-6","2","-32","-6","0","-38","-8","16","-5","-16","32","4","10","0","0","6","-36","6","-1","4","0","8","-8","-12","2","-40","-6","4","10","-12","-6","30","12","-2","12","-28","0","-42","-4","-8","-14","6","-16","0","-8","0","-10","-12","-6","-29","10","12","8","-9","8","14","6","0","2","0","14","-34","-2","-4","12","-14","-4","36","-10","20","36","16","-5","22","20","-13","0","-24","0","20","-42","10","0","-2","2","-24","24","-6","2","10","3","42","-4","6","-12","-44","-12","-24","16","-2","-14","32","14","0","-6","0","-22","0","-1","12","-20","-20","-6","2","-8","-18","-24","-12","-4","8","4","-8","8","-1","-6","8","2","-8","0","2","6","28","-4","-4","4","4","0","-42","0","12","-22","-18","16","4","-6","18","-20","-12","8","-48","-8","0","-6","-2","20","52","-12","4","4","-30","12","50","6","-6","-8","0","40","-12","7","-31","-8","4","-18","16","0","-16","-21","8","-10","36","-1","-32","36","-2","1","18","12","32","3","-14","-8","60","-30","6","0","16","-8","0","2","0","0","28","-28","0","-4","-32","20","-4","3"],"lmfdb":"agrees","curve":{"cremona":"915d1","lmfdb":"915.a","ainvs":[1,0,0,50,107],"rank":1,"torsion":2}},{"label":"915.2.a.b","letter":"b","dim":1,"charpoly":["-1","1"],"traces":["1","1","-1","-1","1","-1","0","-3","1","1","0","1","-2","0","-1","-1","-2","1","-4","-1","0","0","0","3","1","-2","-1","0","-10","-1","-4","5","0","-2","0","-1","2","-4","2","-3","-6","0","-4","0","1","0","8","1","-7","1","2","2","-14","-1","0","0","4","-10","0","1","1","-4","0","7","-2","0","-4","2","0","0","4","-3","2","2","-1","4","0","2","4","-1","1","-6","4","0","-2","-4","10","0","10","1","0","0","4","8","-4","-5","2","-7","0","-1","-10","2","8","6","0","-14","12","1","-2","0","-2","0","-6","4","0","10","-2","0","0","3","-11","1","6","4","1","0","-8","-3","4","-2","12","0","0","-4","-1","6","18","0","-16","0","-8","4","0","-1","-10","2","7","-2","22","-1","12","12","-2","0","-4","-2","2","4","14","5","0","1","4","6","0","4","8","0","-9","-2","-4","4","18","10","0","0","0","10","4","-1","-18","0","-1","0","2","4","0","-8","0","-4","-12","-7","6","2","2","7","6","0","-16","-3","4","-10","0","-2","-6","8","0","2","0","0","-8","14","-4","12","-4","3","0","-2","-2","0","4","-2","8","0","1","-6","12","-4","-26","0","0","30","-18","-2","8","0","-4","0","24","1","2","-11","-1","-1","-7","6","8","12","-4","1","0","0","0","-8","2","-17","-6","4","0","2","-10","12","-24","0","-14","0","-10","4","-18","-1","-24","2","0","18","0","0","-14","-16","-4","0","-6","-8","-4","-4","4","0","0","5","-13","-10","-2","-2","14","7","0","-6","0","22","0","1","0","12","10","4","1","-2","12","0","-8","-4","12","-6","-10","2","0","-4","-10","14","0","7","-12","0","8","-1","-2","4","2","18","0","0","8","-4","2","8","-4","0","6","-9","6","2","0","-4","0","12","0","18","-12","-10","-18","0","2","0","18","0","4","-10","0","4","4","-3","-3","-18","11","0","2","-1","16","0","-6","2","0","-4","26","0","-1","-24","20","0","4","4","8","-12","0","3","0","6","-4","-2","-26","2","0","21","-12","6","4","0","-30","-16","0","-1","-6","4","8","10","1","0","0","-6","26","-6","-18","-8","0","0","4","-10","16","0","-24","0","-10","-8","8","42","-2","-4","0","-12","0","-4","24","1","14","0","10","2","0","-2","-8","0","-7","4","-36","2","10","8","-22","0","2","1","0","6","-12","12","0","-12","-10","-26","2","0","14","0","-8","10","4","-18","-12","2","0","8","-2","0","0","-4","-4","0","-14","24","40","-5","-4","2","0","11","2","-1","-40","-3","-4","-7","12","-6","20","8","0","4","0","-4","-32","-1","-8","0","16","0","-10","0","9","8","6","2","0","-11","4","-6","8","-4","0","0","-18","6","-30","-10","4","-12","0","-24","8","0","-23","-14","0","0","12","-10","12","12","-4","-18","0","1","-10","-24","18","-10","-2","0","36","-18","1","0","40","0","0","-14","-2","16","-14","-4","8","0","0","-6","36","8","-6","-4","0","-12","-22","4","4","0","12","0","0","7","14","-13","-6","10","0","-2","0","-6","-2","14","-28","-7","16","0","-6","-2","-10","0","0","-22","16","0","-4","3","10","0","-4","-12","-11","10","16","-20","0","1","-16","2","22","12","6","0","-2","-8","-4","4","0","12","0","-2","1","-10","0","-2","-4","0","-36","-12","8","-10","-8","-14","14","0","4","-3","2","-12","4","0","4","8","-16","-3","0","-2","0","-4","-38","2","12","6","2","0","-20","0","22","8","-4","-12","0","2","0","-8","-8","-4","0","0","6","6","-1","9","-6","6","0","6","-12","0","12","4","18","0","26","4","28","0","12","-18","0","-12","-16","-30","12","-18","18","0","6","2","-8","0","-8","18","0","0","22","4","4","-30","0","0","0","-4","-24","4","24","-1","0","-3","-2","18","-10","11","32","0","1","2","8","1","-2","16","7","0","0","-6","-16","-2","-8","0","-16","-12","22","26","4","0","0","-1","-16","-8","0","20","12","0","-50","4","0","12","18","8","0","12","-2","0","0","17","-38","0","6","-6","-34","-4","-4","-6","0","-26","24","-2","0","0","10","7","2","-12","28","-6","24","4","0","0","-2","-30","14","16","30","0","-16","5","10","-6","0","-4","0","8","18","30","-22","1","40","0","24","0","4","-2","16","26","0","6","-18","-18","40","-24","0","0","-44","0","14","4","14","-14","14","16","8","0","4","-24","-48","0","71","-10","6","8","-9","8","0","14","4","-2","0","4","22","0","-4","-36","50","0","-36","4","0","24","-24","-5","18","14","13","0","0","10","8","6","2","0","0","2","50","-8","-14","0","2","-7","36","-4","0","-36","40","6","0","10","0","-8","-32","-22","4","0","0","2","40","-1","28","0","0","18","-18","-12","-44","-12","-10","0","40","-4","0","-10","-1","26","0","2","-48","0","-12","14","-8","0","2","-8","8","-50","18","4","28","18","-12","-12","0","6","-22","0","10","-8","46","-2","0","0","0","0","12","4","-4","-4","10","0","30","-14","-12","-24","0","40","0","-7","-15","-4","12","-2","6","0","-32","33","-8","2","36","1","0","-40","2","-1","18","-4","0","7","-2","12","16","-18","6","20","0","-8","0","0","16","-20","-8","0","-16","4","-38","-32","-2","-3"],"lmfdb":"agrees","curve":{"cremona":"915b1","lmfdb":"915.b","ainvs":[1,1,0,-57,144],"rank":1,"torsion":2}},{"label":"915.2.a.c","letter":"c","dim":1,"charpoly":["-5","1"],"traces":["1","2","-1","2","1","-2","3","0","1","2","-4","-2","4","6","-1","-4","8","2","7","2","-3","-8","-6","0","1","8","-1","6","-5","-2","0","-8","4","16","3","2","11","14","-4","0","-2","-6","1","-8","1","-12","-1","4","2","2","-8","8","2","-2","-4","0","-7","-10","-7","-2","-1","0","3","-8","4","8","-12","16","6","6","13","0","-8","22","-1","14","-12","-8","-12","-4","1","-4","9","-6","8","2","5","0","-6","2","12","-12","0","-2","7","8","-4","4","-4","2","-6","-16","-10","0","-3","4","-9","-2","11","-8","-11","-12","-1","-14","-6","-10","4","-14","24","0","5","-2","2","0","1","6","-20","0","-1","8","-12","8","21","-24","-1","0","-9","12","20","6","1","26","-16","-4","-5","-16","-2","22","-8","-2","-14","0","8","-24","0","-8","-10","-24","-2","-8","-18","2","2","-4","4","18","9","0","3","16","7","2","6","10","3","16","7","-12","2","2","14","24","1","0","11","0","-32","-2","-3","14","-17","8","-1","-8","-4","4","-3","-8","25","0","12","-12","-15","-16","-2","-20","-6","-16","-28","-6","8","4","-13","-18","1","0","0","22","8","-8","32","-22","-19","-24","1","-2","-8","-14","-21","-12","12","0","0","8","-1","-14","12","48","26","4","13","10","-1","-2","2","4","28","0","-9","2","9","6","24","-40","-8","16","3","-2","33","8","-5","-24","16","0","2","42","6","-24","-22","-2","1","-32","-12","-18","-4","12","9","40","0","0","3","2","12","26","-7","-32","-6","-8","47","-10","4","-16","-9","-4","-7","0","4","-16","-24","-2","3","-28","6","-28","-1","16","28","-24","10","0","9","0","-19","-20","3","-24","34","-4","20","-8","9","-36","56","2","4","4","-11","0","-3","8","0","18","11","18","-12","12","25","6","1","16","0","14","-15","0","6","12","-1","10","28","6","-4","32","6","14","13","-12","-24","4","-24","0","30","28","-5","24","-8","2","6","24","-2","22","6","0","-2","-64","-1","0","-20","-6","16","14","20","-34","-36","0","-12","-2","1","-8","30","-8","-48","0","12","-6","-12","-8","25","50","-21","-4","-3","24","0","-12","1","-30","-44","0","20","-4","9","-20","-21","-12","9","-32","-20","-56","1","-6","-38","16","-1","0","8","-26","-3","-18","16","2","-30","4","-23","0","5","22","-42","16","31","0","2","64","-9","-22","-6","-38","8","-24","8","2","8","-2","14","-16","12","0","-26","-42","-8","-12","36","24","-42","20","0","0","-14","8","-36","-2","10","0","-4","24","7","48","2","52","-24","8","44","26","18","10","-4","-2","-22","0","-2","4","22","4","-40","56","-4","0","39","-18","-32","2","-9","18","16","0","-6","48","-3","-40","5","-16","-24","32","-7","6","-10","-2","4","66","-6","0","-17","-10","7","-24","-3","32","0","-16","13","4","-7","42","-8","12","-9","0","-2","-44","-8","-2","30","2","-14","-64","11","-24","-23","-18","-1","-8","-35","0","-36","18","-11","40","24","0","4","-12","32","6","27","2","-1","24","3","0","42","-14","23","-32","17","-12","-6","-8","5","94","1","-10","27","8","-8","0","4","-18","-12","-4","0","-14","3","-44","-32","8","24","-16","-25","-48","-11","0","-10","6","-12","-28","5","12","40","-56","15","-2","-4","16","-14","56","2","0","-12","20","-4","0","6","18","-18","16","1","-38","28","-20","88","6","-44","0","-8","68","-20","-4","8","40","13","0","45","18","15","-36","-1","112","-28","0","28","8","0","4","-44","-22","-12","8","-8","-6","26","8","-20","0","-32","0","21","22","30","18","19","-24","4","24","18","50","-1","6","6","2","-12","0","8","0","-48","14","-9","-30","21","-4","8","12","-23","12","-12","-2","20","0","-16","56","0","6","-47","-8","77","32","1","12","-18","14","40","26","-12","0","0","-48","-16","4","-26","-48","-6","-4","-30","60","-13","28","-5","-10","-10","0","1","-16","8","2","32","12","-2","48","48","-4","-2","22","-28","12","26","0","-8","-4","9","-64","-27","-2","-41","4","-9","-40","-14","-6","4","32","-24","0","51","40","33","-34","8","-72","-28","-16","-22","-24","-3","-2","9","2","0","0","-33","60","-14","-8","-52","-96","5","-8","-10","24","-11","-6","-16","-24","-3","0","-4","50","-2","50","-11","-42","-8","-8","-6","-6","32","24","-18","0","22","0","-44","2","-24","-30","-1","-88","2","32","7","40","12","-4","21","18","-16","0","4","-42","-1","-12","-21","18","-9","-32","16","-40","9","-56","0","2","-14","0","-4","-76","-3","16","3","-2","15","-8","-12","16","-66","-26","0","-6","7","0","-10","32","43","2","6","-60","7","8","6","-46","-47","0","48","10","-48","0","-4","-84","3","16","6","62","9","16","8","4","20","64","7","-18","6","0","-60","-12","-4","-38","-7","16","2","0","24","16","0","2","16","16","-3","0","14","28","-48","-16","-6","24","50","28","-36","-52","1","-42","-36","-16","52","0","-28","72","52","24","11","-84","-10","40","-8","0","14","0","-9","-28","-32","0","-36","-72","19","-2","-14","20","12","28","-3","-8","18","24","-32","14","-34","0","44","4","-17","52","-20","-48","-27","8","-31","88","-9","26","-1","36","50","0","-56","-8","-6","-2","60","-44","-4","4","-10","-4","24","4","11","44","36","0","-3","-80","3","56","-6","-8","-40","0","0","78","25","-18","-18","-64","-11","0"],"lmfdb":"agrees","curve":{"cremona":"915a1","lmfdb":"915.c","ainvs":[0,-1,1,-460,-11577],"rank":0,"torsion":1}},{"label":"915.2.a.d","letter":"d","dim":1,"charpoly":["-3","1"],"traces":["1","2","1","2","-1","2","1","0","1","-2","4","2","4","2","-1","-4","4","2","-1","-2","1","8","-6","0","1","8","1","2","3","-2","0","-8","4","8","-1","2","-7","-2","4","0","2","2","-5","8","-1","-12","13","-4","-6","2","4","8","6","2","-4","0","-1","6","-15","-2","-1","0","1","-8","-4","8","-4","8","-6","-2","-11","0","-8","-14","1","-2","4","8","0","4","1","4","-5","2","-4","-10","3","0","2","-2","4","-12","0","26","1","-8","-8","-12","4","2","-6","8","-14","0","-1","12","13","2","19","-8","-7","-4","-11","-2","6","6","4","-30","4","0","5","-2","2","0","-1","2","12","0","-5","-8","20","8","-1","-8","-1","0","-3","-12","-20","-2","13","-22","16","-4","-3","-16","-6","-14","-8","2","14","0","4","8","0","8","2","0","6","8","-6","2","-6","4","-4","-10","3","0","3","-8","-1","-10","-14","6","1","-16","-15","4","6","-2","2","8","-1","0","7","0","16","26","1","2","15","-8","13","-16","-4","-12","15","8","9","0","-4","-12","3","8","-2","-28","-6","-16","-4","-2","-20","12","-11","26","5","0","0","38","-8","-8","16","-14","-1","-8","1","-22","24","-2","3","12","4","0","16","8","-13","-30","0","8","26","4","-3","10","1","-2","6","4","-4","0","-5","-2","-15","2","-24","24","-4","16","-7","-10","-7","-8","3","40","8","0","-6","-2","2","-8","6","-2","-31","-16","4","-6","4","-12","19","-40","0","0","3","26","-24","-22","1","32","2","-8","-1","-6","-8","-16","-3","-12","15","0","4","-16","-24","2","-5","28","-6","4","1","8","-4","8","-14","0","-15","0","-9","4","-1","0","30","12","12","8","13","-12","-4","2","4","-12","19","0","13","-8","-8","-10","-7","6","4","-4","19","6","-11","-8","0","-2","-13","0","6","-28","-19","6","12","2","4","-32","34","-30","11","4","4","12","24","0","-18","4","5","8","8","-2","2","24","2","14","6","0","26","32","-1","0","12","2","-32","2","12","30","20","0","-4","26","-5","-16","-26","-8","-24","0","20","30","0","8","11","18","-1","-4","13","-8","0","-12","-1","6","-28","0","0","-4","-3","-28","-15","-12","5","-32","-20","-8","1","-2","-10","-40","13","0","4","-22","-1","26","16","10","-18","-4","-5","0","-3","38","6","-16","15","0","-6","32","21","-14","-2","-2","-8","-8","-20","2","8","-22","14","48","-4","0","10","6","4","12","0","8","-34","-12","0","32","-10","8","-4","-26","2","0","-20","0","-1","8","6","52","-40","8","-28","-6","-6","10","8","2","-18","0","-6","12","26","4","12","-8","-4","0","-11","-10","4","-2","3","-30","40","0","6","-48","3","24","-35","-8","-8","32","-1","-14","14","-10","52","-14","-14","0","7","6","-3","40","1","16","0","-16","13","-12","-15","-2","8","4","-13","0","6","12","-24","-2","10","-62","2","-32","-19","8","19","-6","-1","8","-3","0","0","38","7","-40","-16","0","-20","4","16","6","41","26","11","-48","1","0","-6","2","23","32","15","4","-6","-8","7","-2","13","-6","-5","-16","24","0","-4","-6","8","-12","0","30","15","28","48","8","-4","-16","9","-48","-35","0","14","-10","-4","28","-5","-12","4","8","3","2","52","8","30","-8","-2","0","28","-28","20","0","-6","-30","2","-16","1","-18","-4","4","-28","-2","-8","0","-20","60","-12","12","-24","24","-11","0","13","26","-19","-12","5","-8","-24","0","-60","8","0","-12","-8","38","-20","-8","-8","26","-22","-8","40","-16","16","0","1","-14","-18","6","-1","8","-4","-8","14","38","1","6","10","-22","-8","0","24","0","8","-2","3","-26","3","20","24","12","-23","-28","4","-38","20","0","8","24","16","2","9","8","7","-32","-13","68","-6","-30","-4","22","0","0","0","8","-16","12","26","48","-34","4","-14","-36","-3","4","3","10","14","0","1","16","-20","-2","52","4","6","48","-16","4","18","14","-4","12","-42","0","8","52","-5","32","13","-2","47","-52","-15","24","-14","2","24","-64","-24","0","-5","24","19","30","-4","40","-60","16","-34","-8","-7","26","-13","-10","0","0","-7","-52","-2","-8","-44","-48","3","24","-2","40","-33","30","8","0","-11","0","-4","22","-6","18","7","-2","52","-8","2","26","-32","-8","6","0","6","0","36","-2","4","6","-31","-56","6","-16","5","0","4","-4","-27","-6","-24","0","4","-30","-19","-12","-45","10","19","-32","-24","-40","-3","-8","0","2","-42","0","-20","-20","3","-40","-3","26","5","-24","-24","8","42","-22","56","-2","1","0","-38","32","-21","10","2","-36","-11","-8","14","-10","-1","0","0","-6","-16","0","-8","12","-1","-16","-6","30","-3","16","-56","-12","-36","32","15","42","10","0","12","-4","4","-2","-13","-16","-6","0","-24","-40","0","2","24","16","-5","0","-2","28","-24","48","-6","-8","38","4","-20","20","1","6","20","8","4","0","-4","0","-44","8","-7","-68","-14","-24","12","0","6","32","-15","-20","-16","0","-12","-8","-9","-26","18","4","-12","60","-1","-40","-2","0","-32","-2","30","0","8","12","-15","52","12","-80","-3","8","-31","-56","13","-6","-13","-12","-22","0","-4","16","-42","2","-20","-36","4","4","42","-12","8","12","19","52","-12","0","-15","24","13","-8","30","-8","24","0","-8","-22","-9","-10","-62","8","-7","0"],"lmfdb":"agrees","curve":{"cremona":"915c1","lmfdb":"915.d","ainvs":[0,1,1,-6,-25],"rank":0,"torsion":1}},{"label":"915.2.a.e","letter":"e","dim":3,"charpoly":["-1","9","7","1"],"traces":["3","-2","-3","4","3","2","-5","-12","3","-2","12","-4","0","-10","-3","18","0","-2","7","4","5","-8","10","12","3","8","-3","26","7","2","-4","-36","-12","0","-5","4","3","-10","0","-12","18","10","-7","16","3","-16","-1","-18","20","-2","0","12","18","2","12","-32","-7","26","-19","-4","-3","12","-5","58","0","8","8","0","-10","-10","1","-12","-20","-14","-3","54","-20","-8","8","18","3","-12","-7","-26","0","18","-7","-48","2","-2","12","52","4","14","7","36","8","-8","12","4","10","0","22","-32","5","-20","15","-4","23","-8","-3","56","35","10","10","-50","0","34","0","12","15","2","-18","-44","3","-10","-12","-60","7","8","-28","-16","33","-48","-3","0","19","16","-16","26","1","-30","0","18","7","56","-20","-14","4","2","30","-112","0","-40","-4","-12","-6","20","-18","-36","22","-2","-38","24","-12","10","-47","32","17","0","7","-42","22","-26","-5","72","19","8","-22","4","-6","-40","3","-108","3","-12","0","-34","5","-10","-37","-58","-25","-32","0","-18","25","-8","-15","-12","-8","-16","-71","0","18","12","10","-20","28","10","4","12","-1","-82","-7","12","-32","6","20","16","0","14","21","-72","3","-2","-24","-54","47","-16","20","60","-16","8","-1","-46","-8","0","18","-18","25","-10","-3","-4","20","12","68","84","7","-2","13","26","40","24","0","118","15","-18","-23","12","7","0","-16","48","18","-102","-2","52","-2","2","57","0","-12","-10","12","-52","25","20","-4","-32","-1","-14","-44","10","-7","32","-30","-36","-51","26","-8","-68","-13","8","-19","36","-12","-80","40","-4","-21","16","-10","108","-3","0","-8","104","-22","12","5","32","29","-32","-5","-4","46","20","28","58","-15","-92","0","4","0","68","-23","-72","-31","8","-4","-54","3","18","8","-56","41","42","-35","0","-16","-10","-43","80","-10","-4","-1","50","-24","-10","0","-144","-14","-34","1","-36","0","-28","0","-12","72","4","-15","-32","-20","-2","30","136","18","-14","-42","44","-14","0","-3","56","4","10","24","54","12","22","-20","60","-20","-14","-7","76","-18","-8","0","4","28","-6","8","16","9","-38","-33","18","-23","48","-40","52","3","34","12","0","-24","-12","-19","-36","11","-16","-7","16","16","-40","-43","-26","22","92","-1","-40","0","30","5","70","0","18","2","-18","-31","72","-7","10","102","-56","-1","-48","20","0","47","14","2","-86","-4","132","36","-2","72","26","-30","-36","12","112","-14","-10","0","52","-16","40","22","-140","4","64","2","12","28","14","6","96","-28","-20","7","0","18","-20","0","36","-84","-38","-22","20","8","2","-22","12","38","-8","-26","-24","0","8","12","-100","7","-10","28","4","47","10","32","-32","10","-64","-17","8","33","0","-8","-236","-7","-74","22","42","-4","50","-22","-32","-45","26","-57","40","5","-24","0","-72","23","-20","-19","82","0","-8","15","-72","22","20","80","-4","34","2","6","0","23","40","17","82","-3","-8","-39","108","-28","-122","-3","-60","16","12","-12","56","0","34","19","34","35","-24","-5","8","-18","10","-9","48","37","-60","10","58","-59","34","25","-50","-33","32","72","120","0","46","-28","18","-88","34","-25","48","-32","8","0","100","15","8","-79","12","26","62","8","-64","15","16","0","-200","71","2","-12","0","22","48","-18","-128","-4","-12","44","-44","-10","-14","-42","20","3","-58","-28","96","0","-10","-40","-28","-4","-12","-12","-12","-68","104","1","-60","-31","82","-41","124","7","0","-20","-12","-76","8","32","-92","-36","-6","-28","108","-20","42","2","-16","-32","28","0","112","33","-14","-34","-30","-21","-48","-12","72","-74","-34","-3","-108","-18","2","52","0","24","48","72","54","19","82","-47","-128","-56","16","41","-60","-20","-2","-16","-60","0","128","16","26","-43","-8","-95","232","1","12","22","46","52","-30","8","60","-72","0","0","12","-18","32","66","18","-102","-96","-25","-8","7","10","-42","80","3","56","0","4","28","76","-20","-244","32","-12","34","-14","-68","-20","-46","-84","4","112","-7","0","25","2","-41","-92","-13","80","30","-26","80","0","-40","-112","47","-24","-59","-106","0","-92","44","-118","86","-40","-15","26","21","18","-4","-136","23","24","42","-12","4","0","-7","54","-6","0","21","102","16","20","-79","-48","0","-26","-18","66","33","102","0","-36","2","-18","-80","-52","22","8","2","-108","-56","-2","84","-62","-57","-56","-38","0","-61","-24","12","24","9","10","108","16","-12","62","-73","52","-41","10","-25","84","0","-20","-47","216","4","66","-94","32","50","36","1","-116","17","14","-25","128","44","0","-50","-10","-76","10","7","-88","-22","-32","3","-42","30","92","55","36","22","-34","51","-72","32","-26","-88","-72","8","-148","-5","68","-86","86","13","72","-52","-8","-40","0","19","-138","-50","-36","44","8","12","78","-47","80","-22","-320","-40","-48","48","4","0","-48","21","-120","-6","-16","36","48","10","-40","-118","-108","-28","64","3","42","124","0","76","-108","8","-120","-100","-104","3","12","22","188","-92","-12","-66","-152","-5","80","0","-32","96","-24","-29","-34","58","32","60","-220","5","72","18","4","88","-10","-46","0","20","-20","-37","12","-28","0","25","-58","-29","-16","15","54","-25","92","50","-60","0","-32","-14","-4","-12","-28","0","-18","-46","-68","8","-18","23","-28","36","72","25","0","31","-40","-62","-8","-64","172","4","38","-15","54","-78","-28","-3","-12"],"lmfdb":"agrees"},{"label":"915.2.a.f","letter":"f","dim":4,"charpoly":["137","2","-24","0","1"],"traces":["4","1","4","3","-4","1","-1","9","4","-1","4","3","-2","8","-4","9","0","1","-1","-3","-1","-2","20","9","4","-22","4","4","5","-1","-4","19","4","-2","1","3","13","14","-2","-9","4","8","-7","16","-4","8","5","9","-7","1","0","-22","18","1","-4","-10","-1","-14","25","-3","-4","4","-1","13","2","-2","2","-24","20","-8","29","9","-6","-10","4","-22","8","-22","4","-9","4","-42","19","4","0","-16","5","10","-20","-1","-16","2","-4","-2","1","19","6","-9","4","3","-4","-2","-2","-30","1","-10","13","3","-15","2","13","10","15","14","-20","-36","-2","-4","16","-9","-12","-1","4","8","-4","8","-8","-3","-7","22","-36","16","3","22","-4","-42","35","8","-4","-4","5","28","4","9","-5","-30","-7","-6","18","1","-18","-12","0","8","4","-22","46","-8","18","-19","-14","1","-26","-38","-4","14","27","-10","-8","2","-1","16","10","-14","-1","-12","25","-40","22","-3","4","-4","-4","44","-13","4","-4","10","-1","-14","-29","13","5","-10","2","-47","53","-2","-23","9","2","44","19","-24","-4","-28","20","-74","-48","-8","12","28","29","-2","7","9","-24","-44","-6","-16","4","-10","-19","38","4","-20","-14","-22","17","-8","8","-64","-28","-22","-5","-10","4","0","-18","-9","-17","-47","4","-3","7","-42","-28","32","19","-1","-11","4","-8","-56","0","-3","-9","-16","1","22","5","-40","28","10","-18","-2","-20","22","-12","-1","9","-24","-16","16","4","2","31","84","-4","10","-51","-2","-32","86","1","-48","-34","19","-28","14","6","38","27","-9","-25","-4","4","-26","-16","3","-1","64","-4","52","4","-2","-18","-20","-2","-4","41","-30","3","44","1","-56","40","-10","16","-13","13","40","24","3","-2","-12","-15","-42","-47","2","-24","-18","13","18","-2","10","19","39","15","24","-28","14","-5","-6","-20","66","21","-36","2","8","-2","66","12","-4","-29","-58","16","24","32","-9","21","-38","-12","-12","6","-1","46","66","4","10","-62","8","-34","0","-4","60","28","8","-28","22","-8","48","42","-3","-8","-86","-7","6","20","22","4","-51","-36","92","-4","16","11","18","3","9","63","22","-8","62","-4","10","28","-42","-58","42","35","4","-11","8","-19","-62","-4","76","-39","-4","68","-20","5","98","0","28","1","90","4","16","54","9","47","-8","-5","-72","42","-30","-33","-10","-7","48","-7","-6","20","-44","18","18","-34","1","16","-40","-18","-4","16","-12","58","-8","0","-2","14","8","-54","-70","4","-46","-16","-22","16","2","46","22","40","-8","-1","-36","18","-64","12","-19","20","8","-14","-13","-6","1","58","-9","-26","9","-14","-38","60","48","-4","36","57","14","-32","-3","27","108","-80","-10","4","24","-8","-32","43","2","-4","-53","-1","-52","2","16","-28","26","10","30","-11","-14","55","-120","-1","64","-36","-12","36","10","25","22","84","-40","-13","30","22","54","-48","-3","52","-38","4","-14","15","-4","-103","68","-4","-2","-3","44","56","38","-13","116","-4","4","32","-10","-4","66","17","10","-15","24","-1","86","-40","-14","-33","-12","-29","8","20","13","27","27","5","36","23","-10","4","6","2","-80","-66","-47","24","4","53","-28","-68","-2","-16","-66","-23","-84","-75","9","12","-14","2","96","12","44","-52","-56","19","1","4","-24","32","42","-4","16","-64","-28","-92","-8","20","108","-62","-74","4","10","-48","40","20","-8","8","-116","12","118","8","28","18","-44","29","3","-37","-2","7","44","7","-4","-62","9","12","-22","-24","-44","8","-44","36","-130","-6","10","-58","-16","70","24","4","-8","-3","-10","14","110","-19","-22","-4","38","18","34","4","109","-18","-20","-68","42","-14","36","60","-22","-35","-70","17","-70","20","-8","9","8","8","6","4","-64","8","-34","-28","4","7","-22","-29","20","-5","50","18","-10","114","-28","4","-56","4","0","-4","148","-18","-46","-18","-9","2","-145","-17","10","5","-47","-122","-36","4","30","-24","-3","30","68","7","48","-4","-42","-94","6","-28","36","60","32","-18","108","19","-40","-63","-1","-57","44","-11","52","18","4","6","44","-8","12","-31","-56","-93","-26","0","36","8","-3","-24","-8","-9","-146","49","-16","-4","70","1","-120","-58","22","116","-12","5","-31","-46","-40","-27","80","28","8","-59","10","2","6","-18","34","45","-2","-52","19","-20","46","88","22","14","0","-12","84","-62","-1","-4","-66","9","-48","26","-24","-95","2","-16","38","-13","16","-50","-28","4","50","-71","2","-83","-14","31","-70","28","84","-27","-28","-4","-84","-10","10","1","-114","-51","76","8","-2","-37","40","-32","-2","50","86","18","-8","1","164","44","-48","-73","-16","-34","-40","21","19","-10","-6","-28","56","20","14","-44","-38","6","8","1","38","54","-34","27","12","-22","-9","30","92","-25","102","-20","-4","12","40","4","-112","19","-26","-22","-50","-16","-74","-76","3","-72","-100","-1","14","-4","64","-102","-58","-4","4","-6","52","-4","100","4","156","-60","-2","44","-44","-18","-54","-56","-20","13","-84","-2","0","-30","-4","70","-112","41","36","4","-30","-54","4","3","-10","-8","44","8","20","1","-72","-40","-56","60","14","40","-48","-64","-10","29","-64","16","76","5","-13","-60","-40","13","-156","-5","40","-150","-35","24","10","54","3","60","-88","-2","-9","80","-12","-60","47","-15","-112","50","-42","-53","88","-47","-32","-82","2","44","-52","-24","58","23","-18","6","-56","13","-9"],"lmfdb":"agrees"},{"label":"915.2.a.g","letter":"g","dim":5,"charpoly":["29","-13","-26","4","7","1"],"traces":["5","-3","5","3","-5","-3","-4","-9","5","3","-8","3","-6","-2","-5","3","-14","-3","0","-3","-4","6","-16","-9","5","-4","5","-8","-10","3","-4","-1","-8","6","4","3","-18","-18","-6","9","6","-2","-4","-6","-5","12","-20","3","-3","-3","-14","14","-30","-3","8","30","0","12","-20","-3","5","24","-4","11","6","6","8","-20","-16","2","0","-9","-2","0","5","32","-24","-4","-4","-3","5","14","-12","-8","14","18","-10","18","-6","3","8","2","-4","4","0","-1","-18","-3","-8","3","10","6","12","-28","4","22","0","3","-26","-6","-18","-28","-18","-18","16","16","-6","-6","4","9","21","-3","6","-24","-5","-2","-4","9","-4","4","12","-6","-20","-22","-5","34","-10","12","-16","8","-20","30","-28","3","10","58","-3","-30","-6","-3","4","-30","-14","24","4","14","-6","-48","-30","1","20","-3","32","10","8","80","-28","30","3","-6","0","-16","2","12","-4","16","-20","20","12","-3","-2","52","5","20","18","24","48","-28","-4","18","4","11","22","8","6","31","-10","6","40","-9","8","-44","-8","-20","-6","62","-16","46","28","2","8","-16","0","-28","4","-9","0","70","-2","6","20","0","-4","54","5","-2","-8","32","26","-12","-24","4","6","-4","20","50","-4","56","-12","-3","6","-1","5","3","3","14","12","32","-12","3","-24","-8","0","46","14","-21","-34","18","40","-14","-10","-52","4","18","30","60","-6","32","14","3","24","42","8","-2","-8","2","-6","12","-4","-30","6","4","16","-86","0","-24","-28","-1","11","-12","-18","-66","-18","-3","20","108","-8","-66","16","3","-8","16","10","60","-5","6","36","-8","12","-24","24","-28","2","-36","4","16","-30","22","28","-11","0","-44","12","3","-6","46","-26","-30","68","-6","-48","-68","-18","-24","-8","-28","2","27","-18","20","16","-18","16","-42","16","-6","16","16","-2","-2","-6","-86","-14","-6","0","-40","4","-8","40","9","-39","54","21","-60","2","-3","76","-60","6","0","20","-24","-10","-74","-5","64","-32","-2","-4","-32","-4","-70","-120","9","24","16","-4","-30","-2","4","-12","-21","12","38","4","-6","-78","-12","-20","3","58","-22","-48","4","-5","-76","64","34","-30","-14","-10","-48","-28","12","12","8","-16","8","-24","8","-10","-40","-20","10","-14","30","-4","80","-28","-18","8","3","-34","-88","10","-134","-12","58","64","-18","-3","32","24","-30","6","22","-6","-52","10","-3","0","-50","4","-8","-8","-30","-46","-128","-14","-2","-42","24","-28","-86","4","-82","32","14","-32","-4","-6","-82","-36","-48","0","0","-30","0","8","1","-44","8","20","-61","18","-3","72","-9","32","3","32","10","-60","-48","8","-92","56","80","-16","-3","-28","-18","16","30","-10","38","3","-24","-42","-6","-48","-3","0","-2","-12","-16","-36","-28","2","28","70","12","92","60","-4","-44","-32","16","-7","-22","-20","-88","-40","20","0","-62","12","70","12","-3","-98","116","-2","-54","26","52","76","38","5","6","4","20","104","-28","18","-68","-46","24","88","28","48","-32","-20","-28","18","-40","-4","74","82","18","-64","64","4","-72","-16","11","-26","13","22","-16","-8","8","8","34","6","-86","36","31","-40","6","-10","-46","10","6","-4","90","40","-8","4","-9","14","72","8","60","-21","-44","96","-86","-8","3","68","-20","-54","-30","-6","-20","-98","62","-80","24","-16","18","-32","46","5","12","28","34","80","2","-36","100","8","-122","4","-16","-14","78","0","-9","-78","-28","8","48","4","28","-12","-9","20","-4","0","-84","-66","70","-12","-66","-2","12","56","6","-50","120","20","8","20","0","120","-8","-4","22","-8","54","-2","108","5","-55","-54","-2","80","-34","-8","20","-28","32","10","-20","26","68","108","-12","-16","136","-24","-12","16","4","-88","-46","6","-8","14","-4","-4","14","20","-2","80","50","-50","-30","-4","92","56","56","28","-16","-12","-150","-20","-3","-96","-31","6","-54","-10","-1","116","16","5","-58","48","3","-2","-118","3","60","8","14","8","30","12","72","-116","32","6","-120","-12","32","-92","3","32","-8","-24","-64","-4","-8","-98","32","0","30","-42","46","32","50","14","64","128","-21","74","-24","-34","6","-22","18","-4","152","40","84","-12","-14","-68","2","-10","-37","6","-52","116","-86","4","48","52","18","-6","0","30","12","54","60","80","-1","-6","-108","76","32","-20","0","14","52","86","3","-8","40","24","16","-32","42","-20","-110","8","-10","-46","-2","4","-102","-8","148","120","2","-58","-80","-6","-14","-58","12","28","-40","-4","-46","-8","-30","63","2","6","20","-3","4","136","42","16","6","28","-86","46","-2","0","-88","2","-24","132","16","-28","20","16","-1","-2","152","11","96","-52","-12","40","114","-18","80","4","-66","-90","-144","-18","-16","70","-3","52","20","20","-52","-8","108","-8","-20","-8","-32","-36","-66","-12","-94","16","18","104","3","104","48","-8","78","2","16","132","-78","10","-52","24","60","-32","-8","-5","130","8","6","112","-20","36","22","20","-8","-18","-30","12","28","50","-24","24","60","24","32","-48","-28","-106","112","2","28","-118","-36","52","128","4","-120","24","16","-92","-18","-30","-128","-10","22","-4","-28","28","44","12","-11","-59","100","0","-186","-22","-44","116","57","12","-8","-36","3","-48","-116","-6","3","-66","46","148","-31","-26","-52","-156","-30","10","-34","68","104","-24","-6","-28","56","-48","-40","-40","-68","74","-56","-18","9"],"lmfdb":"agrees"},{"label":"915.2.a.h","letter":"h","dim":5,"charpoly":["9","-35","-54","-8","5","1"],"traces":["5","1","-5","3","-5","-1","-6","3","5","-1","2","-3","-10","-4","5","-5","2","1","0","-3","6","-16","0","-3","5","-8","-5","-18","-8","1","-4","-13","-2","-6","6","3","-32","2","10","-3","6","4","-14","-8","-5","-12","8","5","1","1","-2","-30","-14","-1","-2","-8","0","-10","26","3","-5","-12","-6","-29","10","16","-22","16","0","4","-6","3","-30","-30","-5","24","-24","8","-8","5","5","-10","4","18","-2","48","8","8","0","-1","12","-14","4","20","0","13","-22","41","2","3","-16","6","-4","8","-6","2","-4","-3","-30","16","32","6","6","-2","0","-14","-10","36","-4","3","17","-1","-6","8","-5","-4","-20","17","14","8","36","8","-20","4","5","-2","-34","12","12","18","-8","-8","36","-5","8","-22","-1","-4","-34","-1","-4","-18","2","-4","4","30","-24","32","14","13","56","1","-44","-6","2","32","20","8","3","6","0","14","-10","10","-6","38","-26","42","-12","-3","10","-8","5","-12","32","12","-16","72","6","-2","-2","29","-32","-12","-10","67","-42","-16","8","3","22","34","28","-16","-6","34","0","58","8","-4","28","-4","6","20","14","-3","-16","2","30","8","-32","30","-30","4","5","42","28","-24","-22","12","24","10","-14","-8","-8","24","8","16","36","-5","-10","27","-5","-3","-1","10","-28","36","-4","-1","6","-18","-60","-62","2","27","6","-48","24","30","-8","-4","16","-8","14","12","0","-38","34","1","-24","-30","-12","-30","2","14","-48","44","-4","8","-36","-20","-12","-32","0","84","48","-13","-53","10","22","2","-10","-41","-26","-38","-2","-30","-28","-3","-52","-28","16","-28","5","-6","2","-24","4","12","50","-8","8","34","6","52","-54","-2","-28","29","4","104","8","3","-10","-18","30","-54","-76","-16","8","-28","-32","-80","22","-6","40","27","-6","-16","-8","2","-60","16","0","34","40","14","34","-4","10","52","-6","-36","6","-50","4","-88","-14","-3","-39","-94","-17","56","30","1","-20","-28","6","30","36","-8","-28","-26","5","8","16","4","28","-24","20","12","8","-17","24","50","-14","-18","-24","-8","28","23","-36","-50","8","-8","-16","32","20","-5","-88","-4","8","-30","-5","12","28","2","38","10","34","-8","-84","-12","-4","16","-12","-40","62","-18","-26","-40","8","-50","2","8","6","36","-36","-48","-48","5","44","-72","-8","-18","-32","22","0","-8","1","24","28","4","0","-44","34","98","-42","1","-20","22","4","92","-12","18","28","32","-2","14","-30","4","-28","8","-4","-38","-16","-30","76","-20","24","20","12","-32","0","-32","-14","56","4","-13","48","-72","-56","-25","22","-1","20","-3","44","-41","-44","6","20","12","-2","4","8","-32","-16","-3","-20","-144","12","-8","16","-66","-3","24","-8","-6","4","-19","0","-34","4","-14","-20","96","10","-8","-52","-10","-54","-36","6","20","48","-38","25","-2","26","-32","-48","-42","4","-56","12","122","6","3","50","-64","-10","22","30","8","94","-58","-5","-16","-48","12","-16","18","-32","64","-74","-12","52","-6","16","42","16","-72","-6","-32","-6","56","50","2","-24","-20","2","188","0","-29","60","-47","32","14","-56","12","-16","-6","10","102","16","-67","-56","-36","42","16","-22","16","4","-58","-8","-8","150","-3","-6","-208","-22","-60","-17","-34","-56","50","-28","1","-84","16","-82","-136","6","8","34","-34","8","-8","0","88","28","-58","5","10","-8","-40","8","4","24","-36","-28","2","20","4","-34","46","-6","-17","56","-20","-58","108","-14","-20","-8","3","64","-8","16","56","-46","-2","-36","-42","-30","-116","24","-8","42","-36","32","24","20","-30","60","-24","30","-4","-2","-4","80","-14","-5","49","46","-42","44","2","-28","100","-16","24","34","-200","22","38","0","-12","16","104","-24","-116","-12","-10","-8","102","14","-18","-56","8","52","-72","8","-22","84","-24","-42","8","-8","6","8","-16","-36","24","-36","24","44","5","88","-71","10","-58","-8","-27","-80","28","5","22","-56","3","-90","22","1","4","-24","-10","116","4","28","104","108","-36","34","-138","4","64","36","1","-24","-76","-6","28","4","18","10","44","60","18","76","62","76","56","-2","-84","-16","-27","118","4","-6","32","18","48","-4","-44","-24","74","60","-30","0","-10","8","-33","24","4","14","34","-16","-32","-48","8","10","-50","-14","-132","62","-12","56","-13","0","-46","16","38","-56","72","-34","-2","-18","-1","-16","36","24","64","44","30","20","94","12","6","-68","30","-54","6","-2","-144","36","-14","-18","-32","48","62","14","-44","-20","16","4","24","128","-8","-61","130","36","48","-3","20","70","-14","12","-6","-8","32","30","4","0","0","-14","-84","124","-14","-48","52","116","13","10","-50","53","-104","-68","-10","44","-10","-22","8","6","-2","12","80","10","-38","-50","41","-94","-20","26","100","96","38","32","-42","2","46","60","30","12","76","28","-42","112","3","-24","-180","52","66","-10","28","-26","86","-16","8","0","28","112","50","-5","10","72","6","16","12","-2","50","68","24","-32","38","-4","-2","-18","-12","56","104","-50","28","16","8","42","136","-8","-72","48","-34","100","10","-6","140","48","-52","52","2","54","8","-94","2","2","-28","28","-32","144","-29","101","160","-4","-66","32","-104","28","-67","-8","12","-28","-3","0","48","10","5","14","18","-4","-67","-30","64","108","54","42","2","76","-56","-188","16","-4","-12","-8","-100","-8","28","48","28","32","-3"],"lmfdb":"agrees"},{"label":"915.2.a.i","letter":"i","dim":5,"charpoly":["23","-51","20","10","-7","1"],"traces":["5","1","-5","5","-5","-1","6","3","5","-1","2","-5","6","-8","5","5","8","1","2","-5","-6","12","2","-3","5","-2","-5","16","2","1","0","17","-2","2","-6","5","28","-4","-6","-3","-2","8","22","10","-5","12","-2","-5","-5","1","-8","38","12","-1","-2","16","-2","-2","-4","5","5","12","6","5","-6","-12","28","-12","-2","8","-20","3","14","18","-5","-8","8","2","4","-5","5","26","2","-16","-8","28","-2","-4","-16","-1","0","10","0","-16","-2","-17","10","-35","2","5","-16","-2","16","-2","6","-42","-2","-5","36","-12","-28","-8","0","4","-2","-16","6","-36","-12","3","-3","1","2","-12","-5","-8","20","7","-22","2","0","-10","14","-24","5","-54","12","-12","16","-16","2","-4","-16","5","-2","-38","5","-14","46","-1","-8","36","8","20","0","-38","18","-44","-12","-17","8","1","44","38","2","-84","-14","-16","27","-2","2","8","20","2","6","-18","4","-26","-28","-5","26","-16","-5","-4","-28","-12","20","-40","-6","4","-40","-5","16","18","6","-23","4","12","-2","3","-28","-22","-26","12","2","-20","2","50","-24","-8","-16","-28","20","-16","-22","-3","-16","-62","-14","-10","12","-18","-34","4","5","-10","10","8","20","-12","-8","-6","64","-2","2","-54","-4","-12","8","5","-20","45","-5","5","5","-26","-32","-64","-2","-1","-32","16","52","52","8","-51","-16","-28","18","-38","2","-24","-16","4","-12","-12","16","20","62","1","2","-28","0","42","2","-10","48","-40","0","-16","26","16","76","-30","2","-4","-28","17","-13","2","-10","-22","20","35","4","10","-2","14","-16","-5","38","4","16","8","-5","2","20","-12","-16","-12","20","2","36","22","-6","40","14","42","-56","-5","2","20","-36","5","6","88","-36","22","-18","12","-12","-12","28","8","-28","8","20","-97","0","12","68","-4","-18","60","2","-18","22","16","-6","-8","-6","0","6","36","20","-52","12","-56","-10","-3","-45","70","3","104","-14","-1","32","-18","-2","-18","64","12","74","36","5","-20","28","8","-44","8","-20","20","-26","-7","-8","38","22","-38","84","-2","20","3","0","38","-4","10","32","-4","-14","5","-50","24","-16","44","-5","-8","24","54","2","-26","-12","-56","22","12","-2","102","-16","-20","-44","16","10","48","-2","-50","8","4","6","-40","16","-28","-4","-5","56","24","2","-22","-24","38","-82","4","-5","-80","-6","14","16","32","-46","12","46","1","4","162","8","-24","0","-36","-22","-14","-8","-10","10","-20","16","36","0","-34","-42","38","52","16","-18","-72","56","44","2","28","12","-4","-56","17","-44","-34","-8","-79","-10","-1","-28","3","-44","35","8","-38","8","80","-2","-56","-2","84","8","-5","14","-36","-84","16","16","56","-27","8","-18","2","8","-39","-2","2","-16","-8","-60","-20","-20","2","-50","-2","-62","24","-6","-48","76","18","-63","42","-4","-28","76","26","2","-12","28","110","-50","5","-6","60","-26","30","-36","16","38","6","5","12","14","4","32","90","28","-28","40","12","-72","8","-20","14","-106","40","0","36","6","104","34","-4","38","24","40","56","2","5","28","43","-16","16","46","-18","28","-74","-6","2","-58","23","-64","36","-4","-2","52","-12","12","82","2","-4","-68","-3","-2","12","28","24","3","22","-48","-32","26","-1","-16","-12","-30","40","-2","-20","32","20","-88","12","-2","-112","-52","-50","5","94","24","-2","64","8","40","32","16","-78","-20","28","-34","-52","-20","-7","34","16","-38","-12","22","-4","-42","3","16","-2","16","108","60","62","0","86","14","-28","-16","10","-22","48","-12","-120","-14","18","-56","-12","34","24","2","-4","14","-58","-5","115","108","10","-40","54","-10","68","0","-8","-12","-4","-20","8","-76","12","106","148","8","-32","-16","6","0","-50","-64","16","42","2","34","70","-2","-138","4","54","-42","4","4","-58","68","12","16","-24","-8","-52","-12","-5","52","-55","20","18","2","-45","-64","-56","5","38","12","-5","2","-116","-5","0","-12","26","-12","14","32","-108","-98","64","-46","118","2","0","-18","1","26","-12","32","16","8","-16","26","100","-52","-36","-46","-52","78","-90","-8","8","-88","51","-38","-20","16","30","-20","28","0","90","-18","-50","-44","38","-80","36","-2","-43","-18","24","-10","-66","16","44","90","-4","6","-70","12","-108","-56","12","0","17","-16","-46","-52","-20","-8","-80","-62","-158","-42","-1","-84","32","-2","80","-44","28","46","98","0","-38","90","-42","40","-8","-2","-64","2","10","-24","84","-48","-138","-48","40","14","20","0","-96","-20","16","-59","46","-26","-4","-27","-16","-74","-140","-76","2","24","30","-62","-8","-2","-20","-50","4","-74","-8","28","24","-66","-17","-20","38","13","-16","-108","-2","40","-158","10","-20","-6","22","-30","-76","-20","18","-46","-35","4","-20","-4","64","-50","-10","-40","26","2","-184","34","-14","28","64","16","-162","-52","5","32","0","-38","150","-26","-4","16","6","-16","16","-48","-8","-44","-54","5","-46","32","-2","-24","4","-20","10","-88","12","28","60","16","30","-14","12","56","52","-20","92","-20","-2","-110","-104","-36","40","-56","-22","4","-142","6","100","18","-40","44","-4","-14","-52","-56","-42","40","124","56","28","42","5","-11","84","-2","94","-16","-20","-52","-149","36","-18","-20","-5","-40","144","-6","5","-102","-88","-92","23","36","-96","-58","-22","-4","-20","18","-16","56","-12","84","-4","12","32","2","12","82","-104","-28","-3"],"lmfdb":"agrees"},{"label":"915.2.a.j","letter":"j","dim":5,"charpoly":["235","-475","276","-32","-7","1"],"traces":["5","1","-5","11","5","-1","6","9","5","1","0","-11","2","12","-5","19","-8","1","-4","11","-6","16","-2","-9","5","-28","-5","-18","14","-1","20","19","0","6","6","11","12","-14","-2","9","-14","-12","-6","6","5","36","-28","-19","33","1","8","-38","4","-1","0","20","4","26","24","-11","-5","-40","6","15","2","-16","2","26","2","12","-8","9","34","-26","-5","16","36","28","36","19","5","-18","-16","18","-8","-8","-14","64","10","1","4","-24","-20","-8","-4","-19","-2","9","0","11","6","-6","-8","-48","-6","-2","-4","-11","-6","16","-12","-54","-46","14","-2","36","2","-16","-72","-9","45","-1","14","20","5","12","-24","39","6","-28","40","-6","-28","36","-5","58","14","-36","-32","-18","28","-64","-48","19","14","-22","-33","-16","10","-1","8","-34","-8","-48","20","38","52","12","-4","19","44","1","-8","-98","0","-20","-12","-20","19","6","-4","-118","8","-26","6","-56","-24","-26","-16","11","38","-32","5","20","12","40","12","-68","-6","-14","24","-15","4","-112","-2","59","42","16","16","9","-2","-42","40","-26","-14","-62","-2","-26","16","-12","16","-22","8","-20","-6","-9","40","82","-34","6","-28","26","6","-68","5","-70","34","-16","6","36","-36","22","-28","-28","-28","54","-36","-124","-16","-19","34","-105","-5","-11","33","18","-28","-60","16","1","-56","-18","-32","-6","8","51","-10","8","16","-38","14","8","0","-64","4","44","-10","46","18","-1","-40","100","-4","-58","0","24","16","72","20","20","18","8","-12","-34","4","-48","8","19","55","26","2","138","10","-9","24","-30","0","122","-8","-11","116","-32","-6","-48","-5","6","10","172","8","-40","-64","48","20","-42","6","92","2","2","-16","15","4","28","16","11","2","-50","6","-50","4","-16","56","0","12","-4","2","54","-32","59","46","26","20","-14","60","-44","2","-42","4","-36","50","12","-2","24","6","16","-8","4","72","28","-20","9","-39","66","-45","-112","34","1","-40","38","-14","-26","-8","-20","8","-34","-5","-68","-28","-12","52","16","24","84","-14","-39","36","110","-6","-82","-2","28","-56","-43","-40","-70","36","6","4","24","28","19","38","-36","40","-52","5","120","-48","-58","-22","-18","-14","-72","-32","36","-16","-44","32","36","44","18","66","-28","-28","-30","-8","64","-6","60","48","-8","-80","-19","-48","120","-14","22","-64","22","72","64","33","20","-24","16","10","100","-10","-118","22","1","-64","-70","-8","-52","4","34","-12","108","8","-24","58","48","-32","66","-20","-22","-54","-38","-12","-8","-52","64","24","-12","-4","-124","4","-108","-28","-19","88","-36","-44","15","-2","-1","92","-9","8","9","-52","98","-72","-4","0","-100","-92","20","68","11","12","-100","-24","20","6","26","-19","-96","18","-6","-68","157","4","-22","-8","118","52","-8","-8","-48","46","26","6","88","-6","76","-100","56","37","-2","24","24","104","26","-4","-12","16","-30","-12","-11","-130","56","-38","222","-6","32","-46","62","-5","16","-24","-20","-32","78","-12","-48","84","-40","84","-54","-12","90","-40","68","-46","-176","6","-72","-94","14","4","-48","-24","-124","-2","15","16","237","-4","36","-16","112","-116","110","2","46","50","-59","40","-16","-42","12","-32","-16","-72","82","-16","4","84","-9","-42","-48","2","68","45","42","-64","-62","-40","-1","-36","26","98","128","14","-60","68","62","20","20","2","28","64","26","5","6","-16","108","-44","12","48","100","-16","-58","-24","22","-22","126","-8","39","-30","20","2","88","6","-40","-70","9","-36","-28","-40","-120","-20","-82","40","-54","34","-12","32","-6","26","-16","28","-252","-28","-26","80","96","-6","36","0","68","-4","142","-5","-71","-20","70","-44","58","-34","40","12","16","14","240","-6","-210","76","-36","-28","38","36","-20","-32","-22","-12","38","28","-18","50","28","-36","110","28","30","-16","-54","122","-64","36","-14","-100","124","-48","-92","16","-164","84","19","-80","-31","-34","106","14","105","12","60","5","-22","-140","11","-154","-74","-33","-24","-68","-18","-16","-16","28","4","14","60","10","90","-16","-64","-164","-1","-64","-216","56","-112","8","18","-70","44","32","-34","-66","6","36","34","-8","48","68","-51","-58","-48","10","100","6","-8","20","-212","-16","-38","-68","38","-68","-82","-14","-25","52","-8","-38","70","0","12","-136","64","-2","106","-4","244","2","-44","-8","19","10","14","44","-46","44","-80","-18","74","102","1","-72","40","40","-16","-8","-100","-68","-58","4","-98","14","58","-46","-194","0","-84","64","-24","38","-20","-16","-106","-220","-72","-12","-144","-20","112","-88","-20","-33","-14","-18","72","19","-8","50","104","12","6","-12","34","38","-12","-4","-8","14","48","36","-118","-8","20","-144","-19","8","90","-55","0","-104","-26","-68","146","-2","52","6","-138","-48","64","-10","-56","58","9","-78","40","-24","-20","-34","30","120","-26","0","30","52","-122","-16","-280","8","106","20","11","-28","-148","-116","-282","38","32","-102","68","6","-32","-44","48","-96","-34","5","98","48","-6","-136","20","-10","158","112","-172","12","-50","-8","-10","146","40","4","38","64","40","12","-48","-114","176","-20","-68","-78","42","64","188","-6","-208","58","-92","-4","-14","-2","-220","32","-2","24","-8","16","-76","-64","-15","85","16","-4","14","4","-28","116","-145","-16","-112","8","-11","80","16","-2","-19","86","50","120","59","-6","84","-178","50","42","-98","-4","136","88","16","96","-160","-56","-144","16","0","76","120","-12","9"],"lmfdb":"agrees"},{"label":"915.2.a.k","letter":"k","dim":8,"charpoly":["1369","1258","-1384","-1034","320","152","-38","-4","1"],"traces":["8","2","8","10","8","2","2","6","8","2","10","10","0","2","8","10","2","2","-6","10","2","-6","6","6","8","22","8","-20","20","2","-8","4","10","-20","2","10","18","-26","0","6","12","2","2","0","8","-24","18","10","6","2","2","-20","6","2","10","22","-6","-10","12","10","8","-20","2","-22","0","-6","-16","-20","6","2","28","6","-16","-10","8","-32","-20","22","-20","10","8","0","10","-20","2","42","20","-14","38","2","-8","-4","-8","-52","-6","4","-8","-2","10","10","22","-20","-8","26","2","40","-10","10","6","-6","18","-32","2","-26","6","80","0","-18","12","6","8","2","12","-64","8","2","-20","-32","2","22","20","0","-26","-66","8","-8","-2","-24","-12","-20","18","-6","0","10","20","-12","6","80","44","2","-16","-82","2","-68","-8","-20","-32","-4","6","4","8","2","-8","-40","10","28","-22","22","-16","-20","-6","-4","6","-10","2","34","12","30","-12","10","20","-92","8","-112","18","-20","-64","8","2","-26","28","-22","14","-26","0","26","10","-6","-18","6","-16","-134","-26","-20","12","54","6","-32","24","2","-68","-16","28","-4","2","6","-80","-88","-16","0","44","-10","-46","-26","8","28","-74","-32","10","-24","-20","-10","18","22","18","44","-20","12","-4","10","-10","60","8","10","6","0","-44","-80","10","2","28","-20","64","-98","2","-54","-42","42","-70","-20","20","-20","8","-14","6","64","38","-16","36","2","-22","-78","-8","32","10","-4","-6","20","-8","22","16","-52","-36","48","-6","116","72","4","16","-10","-8","4","22","-2","12","22","10","60","-20","10","6","-28","22","-36","8","-20","-44","-184","-8","-20","24","26","-26","-2","2","20","-16","40","-36","-22","-10","56","-28","10","0","50","6","88","98","-6","-24","8","18","-40","-16","-32","-34","-26","2","-20","60","-26","34","10","6","12","-6","80","-4","2","0","-30","-40","-18","28","204","12","64","42","6","18","68","8","-4","-16","2","-56","-38","12","-10","8","-64","60","-18","8","-20","-80","2","56","-32","-20","62","22","-32","-20","18","2","68","74","22","-24","82","20","-44","-20","0","26","-72","-26","10","36","-66","56","-24","8","156","52","-8","64","0","-2","52","-14","-24","10","-6","-12","36","44","-20","28","40","18","92","2","-6","2","-60","0","42","8","10","-10","-72","20","24","40","-12","-34","-14","6","-32","-86","80","38","34","44","84","60","2","-100","24","-16","32","-8","-82","24","-34","2","-4","-36","-68","24","70","-8","104","6","-20","60","-52","-32","10","16","-4","-6","88","6","124","52","4","-24","66","8","54","-8","2","-20","6","-8","-2","-32","-40","16","24","10","8","-18","28","12","10","-22","10","-48","22","22","-46","-16","92","60","-20","-48","10","-6","56","-8","-4","16","-24","6","26","60","-10","-66","-92","2","92","20","34","80","40","12","-4","-28","30","-10","-26","-12","-4","90","10","44","88","20","36","6","-92","82","-20","8","-6","22","-112","-40","-22","18","28","22","-20","-40","-32","-64","-38","-86","8","2","20","2","62","44","-26","-58","92","28","64","6","-22","-94","-56","14","80","70","-26","-56","-216","0","140","-26","26","104","-18","10","196","-38","-6","12","152","-18","172","128","6","0","60","-16","-24","8","-134","-24","30","-26","2","-180","-20","4","-18","12","-64","66","54","24","-64","6","42","-136","-32","8","-26","24","20","-20","2","-80","28","-68","192","-20","-16","32","-154","28","-32","24","-4","-14","-136","2","24","106","6","68","22","-80","60","70","-88","20","20","-16","168","-76","0","12","48","44","112","-26","-10","-28","-188","-46","-66","10","-26","-72","-74","8","42","-94","28","-80","-8","-74","176","-232","-32","-2","-208","10","104","52","-24","-110","112","-20","-44","-12","-10","96","40","18","-20","-64","22","-134","-68","18","-172","40","44","80","-6","-20","42","4","12","0","-20","-4","118","-28","10","-4","22","-10","8","20","60","-24","-184","8","-12","-136","10","-76","-134","6","-140","-56","0","8","80","-44","-36","-74","-80","44","26","10","-20","82","2","-86","96","28","64","-16","-20","-20","-12","64","-82","-40","-98","-30","-4","2","-32","-4","-54","48","-68","-42","168","-66","42","-8","-86","-70","126","8","-20","108","154","20","2","-32","-20","-54","100","8","-4","-34","-14","0","-234","6","16","10","64","-56","4","38","258","-128","-16","8","88","36","-202","28","2","-232","12","-22","-72","-8","-78","62","-12","-8","-40","20","32","24","162","10","-68","-86","-4","50","28","-6","8","-42","20","-22","-16","-8","82","96","22","-10","104","16","-60","-16","-52","-50","-86","-36","-20","-32","48","-12","2","-6","-84","-180","116","-6","-4","72","68","-10","4","6","-86","16","-104","-112","-10","-56","36","-8","172","2","4","60","84","22","34","-52","-2","-108","-100","12","-52","-18","22","-120","30","10","-180","2","60","-12","34","-20","136","-68","10","40","-136","6","-4","20","-28","128","-80","22","-92","-72","-36","-4","54","8","-96","-40","-20","-160","-112","-44","-112","-40","-184","18","-70","-8","78","56","-20","-200","224","24","-116","-64","26","-88","40","-26","8","130","-2","-264","-6","2","-44","102","20","-48","-26","-16","68","-58","40","28","-192","-36","152","-58","-22","24","176","-10","56","14","56","48","120","-28","-26","16","10","80","-20","0","10","60","50","-16","26","6","-52","2","88","10","-42","98","24","-44","-6","-128","60","-24","-80","-18","8","48","64","18","6"],"lmfdb":"agrees"}],"seconds":0.423,"computed":"atlas","estimate":{"seconds":0.904,"low":0.551,"high":1.564,"bytes":2453947}}