{"label":"358.2.a","level":358,"weight":2,"dims":{"new":14,"cusp":44,"eisenstein":3,"modsym":91},"old":[[179,15,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 179, 358]: [0, 1, 16, 47] (certified at ell = 2147483137)","T = [(3, 1), (5, 1)]; h of degree 14 = 1 x 14 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"358.2.a.a","letter":"a","dim":1,"charpoly":["-2","1"],"traces":["1","-1","2","1","0","-2","-2","-1","1","0","5","2","6","2","0","1","3","-1","-2","0","-4","-5","2","-2","-5","-6","-4","-2","2","0","5","-1","10","-3","0","1","-1","2","12","0","-6","4","-10","5","0","-2","5","2","-3","5","6","6","11","4","0","2","-4","-2","-12","0","-10","-5","-2","1","0","-10","-8","3","4","0","12","-1","8","1","-10","-2","-10","-12","-10","0","-11","6","-2","-4","0","10","4","-5","-1","0","-12","2","10","-5","0","-2","-2","3","5","-5","-12","-6","2","-6","0","-11","-8","-4","7","0","-2","-2","2","4","0","2","6","12","-6","0","14","10","-12","5","0","2","-20","-1","-20","0","15","10","4","8","0","-3","14","-4","-14","0","10","-12","30","1","0","-8","-6","-1","2","10","-17","2","3","10","0","12","11","10","22","0","-4","11","11","-6","0","2","-22","4","23","0","-2","-10","12","-4","10","5","-24","1","1","0","-6","12","-20","-2","0","-10","15","5","8","0","3","2","19","2","0","-3","6","-5","11","5","-16","12","-4","6","0","-2","2","6","-10","0","-8","11","24","8","0","4","-10","-7","16","0","18","2","-14","2","-5","-2","4","-4","22","0","-20","-2","-24","-6","0","-12","-20","6","-15","0","20","-14","-10","-10","0","12","-12","-5","-4","0","-28","-2","10","20","0","1","26","20","2","0","2","-15","-4","-10","0","-4","-2","-8","-21","0","-10","3","-24","-14","-25","4","10","14","5","0","18","-10","-11","12","0","-30","12","-1","-8","0","-4","8","1","6","0","1","-20","-2","12","-10","20","17","-24","-2","0","-3","16","-10","4","0","8","-12","16","-11","0","-10","12","-22","10","0","-16","4","-6","-11","-30","-11","14","6","-10","0","-7","-2","-1","22","0","-4","27","-23","4","0","25","2","20","10","0","-12","34","4","-11","-10","-24","-5","-24","24","0","-1","-12","-1","24","0","-15","6","28","-12","0","20","16","2","-6","0","-22","10","0","-15","0","-5","12","-8","20","0","-40","-3","32","-2","0","-19","-10","-2","-16","0","6","3","30","-6","0","5","-8","-11","8","-5","-3","16","30","-12","0","4","-5","-6","-7","0","28","2","24","-2","0","-6","-28","10","16","0","-22","8","5","-11","-15","-24","20","-8","60","0","-24","-4","21","10","0","7","-4","-16","-24","0","-3","-18","-2","-2","0","14","4","-2","8","5","-30","2","-34","-4","0","4","-40","-22","-12","0","13","20","34","2","0","24","8","6","16","0","22","12","-50","20","10","-6","11","15","-16","0","-6","-20","-8","14","0","10","25","10","22","0","-17","-12","6","12","0","5","-24","4","-8","0","-44","28","-17","2","0","-10","46","-20","22","0","-16","-1","8","-26","0","-20","25","-2","24","0","-30","-2","-35","15","20","4","15","10","-19","0","-12","4","-36","2","0","8","2","21","-15","0","-28","10","-12","-3","0","24","23","14","-10","25","-4","-4","20","-10","0","-14","32","-5","-60","0","30","-18","11","10","0","11","22","-12","-34","0","28","30","6","-12","-10","1","24","8","38","0","4","4","55","-8","0","-1","-17","-6","-10","0","12","-1","13","20","0","2","22","-12","6","10","-5","-20","-8","-17","0","24","-3","2","-8","0","30","3","-22","-16","0","10","3","-4","10","0","-8","-8","2","12","25","-16","-20","11","-3","0","22","10","-16","-12","0","22","-18","-10","12","0","-22","16","-34","-4","0","6","-40","11","-60","30","-20","11","24","-14","0","-6","8","10","-23","0","44","7","36","2","0","1","4","-22","-28","0","-50","4","26","-27","20","23","-33","-4","4","0","8","-25","-30","-2","0","-20","44","-10","66","0","12","12","-10","-34","0","-4","-18","11","-48","10","35","24","2","5","0","24","24","-24","10","0","-10","1","10","12","0","1","-30","-24","32","0","-4","15","40","-6","-10","-28","12","12","13","0","-30","-20","-26","-16","0","-2","-40","6","11","0","-24","22","-15","-10","0","0","-2","15","16","0","-38","5","-56","-12","0","8","22","-20","20","0","11","40","-14","3","0","-32","-72","2","-50","0","52","19","-42","10","-25","2","4","16","12","0","60","-6","-8","-3","0","-30","-3","6","-8","0","-4","-5","-60","8","0","11","-18","-8","15","5","-1","3","40","-16","0","-30","-42","12","-37","0","20","-4","-20","5","0","6","20","7","-12","0","15","-28","-49","-2","-50","-24","20","2","55","0","20","6","-9","28","0","-10","-20","-16","2","0","-25","22","36","-8","0","-5","-28","11","-22","15","-2","24","57","-20","0","8","-3","-60","41","0","24","24","-9","4","0","-21","-16","-10","-50","0","-48","-7","-2","4","0","16","48","24","2","0","44","3","-43","18","0","2","32","2","40","0","-55","-14","-10","-4","0","2","24","-8","10","-5","33","30","40","-2","0","34","-54","4","-12","0","-11","-4","-10","40","0","22","-30","12","40","0","32","-13","72","-20","5","-34","2","-2","-48","0","6","-24","16","-8","0","-6","-15","-16","32","0","12","-22","-12","-12","0","50","42","-20","48","-10","24","6","18","-11","0","-15","20","16","-28","0","-6","6","-8","20","0","8","-12","-14","-12","0","12","-10","28","-25","-60","-10","29","-22","-5","0","7","17","36","12","0","-6","-20","-12","-20","0","-42","-5","-14","24","0","-4","-7","8","4","0"],"lmfdb":"agrees","curve":{"cremona":"358a1","lmfdb":"358.a","ainvs":[1,1,0,55,197],"rank":0,"torsion":1},"derived":{"al":[[2,1],[179,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"358.2.a.b","letter":"b","dim":1,"charpoly":["2","1"],"traces":["1","1","-2","1","0","-2","2","1","1","0","3","-2","2","2","0","1","3","1","2","0","-4","3","6","-2","-5","2","4","2","-6","0","5","1","-6","3","0","1","-7","2","-4","0","6","-4","-10","3","0","6","-3","-2","-3","-5","-6","2","-3","4","0","2","-4","-6","0","0","2","5","2","1","0","-6","-4","3","-12","0","0","1","-4","-7","10","2","6","-4","-10","0","-11","6","6","-4","0","-10","12","3","-9","0","4","6","-10","-3","0","-2","2","-3","3","-5","0","-6","14","2","0","-3","12","4","-7","0","14","2","6","-4","0","-6","2","0","6","0","-2","2","-12","5","0","2","20","1","20","0","-15","-6","4","-4","0","3","18","-12","-10","0","6","0","6","1","0","-4","6","-7","-6","10","-1","2","3","6","0","-4","5","-10","6","0","12","-11","-19","6","0","6","-6","-4","-9","0","2","-10","0","12","-10","3","0","-9","-1","0","-10","4","-4","6","0","-10","9","-3","8","0","3","-2","-13","2","0","-3","-6","3","-13","-5","8","0","-12","-6","0","14","6","2","6","0","8","-3","0","12","0","4","10","-7","8","0","6","14","26","2","-5","6","0","-4","-22","0","-12","-6","0","2","0","0","20","6","9","0","20","-2","10","2","0","-12","4","5","-12","0","-12","2","18","20","0","1","18","20","-14","0","-6","-15","24","-6","0","4","18","-4","-3","0","-22","3","-8","18","-15","-12","-10","-10","5","0","30","6","-13","0","0","6","12","1","-8","0","-4","-4","-9","6","0","-7","12","-6","12","10","-20","-1","0","2","0","3","-16","6","-28","0","-24","-4","-28","5","0","-10","-12","6","-18","0","-24","12","6","-11","-10","-19","14","6","-6","0","-25","6","-7","-6","0","-4","11","-9","-12","0","15","2","-20","-10","0","0","18","12","35","-10","8","3","24","0","0","-9","-12","-1","0","0","-15","-10","4","4","0","-4","-16","6","6","0","-6","-10","-16","9","0","-3","-12","8","20","0","-40","3","-24","-2","0","-13","-10","2","-12","0","18","-3","30","-6","0","3","20","-13","-8","-5","-27","8","10","0","0","-12","-21","-6","17","0","-36","14","0","6","0","2","20","6","12","0","-10","8","-3","-3","-15","0","4","12","-12","0","-36","4","29","10","0","-7","12","8","8","0","-3","6","6","14","0","26","12","2","36","-5","18","6","2","0","0","-4","-28","-22","12","0","27","-12","26","-6","0","0","24","2","-8","0","-10","0","-30","20","-10","6","-3","9","0","0","-14","20","-24","-2","0","10","-7","2","38","0","33","-12","-18","4","0","5","0","-12","32","0","12","-12","15","2","0","18","18","20","-30","0","-8","1","8","18","0","20","-9","-14","0","0","30","-6","11","-15","20","24","15","-6","13","0","0","4","12","18","0","-4","2","-3","-9","0","-16","-22","20","3","0","-8","17","18","2","-15","-12","-12","-20","-10","0","-10","-12","5","-20","0","-18","30","-27","6","0","-13","-22","0","18","0","-4","6","-6","12","-30","1","8","-8","26","0","12","-4","-9","-4","0","-9","-15","6","10","0","12","-7","21","12","0","-6","26","12","30","10","35","-20","-4","-1","0","0","29","2","24","0","-6","3","14","-16","0","6","-45","-28","2","0","24","-24","-18","-4","25","-28","-12","5","-21","0","-34","-10","-16","-12","0","6","-6","-18","0","0","-30","-24","14","12","0","6","-24","-11","0","-10","-20","-19","36","14","0","6","-4","-6","15","0","8","-25","-12","6","0","-7","-36","-6","-52","0","6","-4","26","11","-20","-9","33","-12","4","0","0","15","30","2","0","-20","44","-10","-6","0","44","0","6","18","0","12","18","35","0","-10","45","8","-14","3","0","24","0","0","-34","0","-10","-9","30","-12","0","-1","-18","0","-48","0","28","-15","-40","-10","30","4","44","4","13","0","-30","-4","14","-16","0","6","-12","6","29","0","-8","-6","-39","-10","0","-16","6","9","24","0","50","-3","24","-12","0","8","-22","20","-36","0","-21","-40","-14","3","0","-24","0","-2","14","0","-36","-13","-6","-10","-25","2","28","-12","12","0","0","18","-24","-3","0","30","11","-6","-48","0","12","3","4","20","0","-13","-42","-8","-9","-5","-9","-27","-12","8","0","10","6","0","-45","0","20","-12","44","-21","0","-6","-20","17","4","0","-39","-36","-1","14","30","0","12","6","-7","0","20","2","-9","20","0","6","20","12","-54","0","7","-10","-60","8","0","-3","-4","-3","26","-15","-42","0","-49","4","0","12","45","-12","47","0","-24","-36","-33","4","0","29","16","10","-30","0","-8","-7","2","12","0","8","20","8","18","0","48","-3","-13","6","0","6","0","14","40","0","-33","26","-6","12","0","2","-24","36","-30","-5","-9","18","40","6","0","2","14","0","0","0","-27","-4","18","-28","0","-22","-30","12","-16","0","32","27","0","-12","35","26","14","-6","0","0","-6","0","48","24","0","2","-55","-8","56","0","-24","-10","36","0","0","-30","-30","20","-8","-10","24","6","-54","-3","0","9","36","0","36","0","-6","-14","12","20","0","-24","20","-2","-12","0","12","10","-20","-7","20","2","21","38","-27","0","-7","33","-12","-12","0","-18","12","4","-60","0","-10","5","50","0","0","-12","-1","32","-28","0"],"lmfdb":"agrees","curve":{"cremona":"358b1","lmfdb":"358.b","ainvs":[1,0,0,-18,28],"rank":0,"torsion":3},"derived":{"al":[[2,-1],[179,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"358.2.a.c","letter":"c","dim":2,"charpoly":["7","-7","1"],"traces":["2","-2","1","2","6","-1","2","-2","5","-6","-2","1","-3","-2","3","2","0","-5","-7","6","1","2","1","-1","8","3","10","2","4","-3","-8","-2","-1","0","6","5","13","7","-12","-6","15","-1","10","-2","15","-1","4","1","-12","-8","-21","-3","10","-10","-6","-2","-14","-4","12","3","-8","8","5","2","-9","1","-10","0","-10","-6","3","-5","1","-13","4","-7","-2","12","-11","6","-10","-15","-7","1","0","-10","-19","2","19","-15","-3","1","-25","-4","-21","-1","-4","12","-5","8","9","21","-5","3","3","-10","-4","10","-4","6","-4","2","22","14","3","4","-18","-12","0","-3","-20","8","18","-8","-6","-5","14","-2","26","9","-3","-1","-7","10","30","0","-5","10","-28","6","23","-3","3","5","12","-1","-6","13","7","-4","-13","7","-21","2","-24","-12","-2","11","5","-6","1","10","4","15","-3","7","19","-1","-11","0","-28","10","18","19","8","-2","27","-19","2","15","0","3","38","-1","39","25","0","4","10","21","-36","1","-4","4","-36","-12","-9","5","7","-8","-26","-9","4","-21","45","5","-8","-3","7","-3","2","10","33","4","30","-10","-8","4","11","-6","21","4","8","-2","20","-22","-16","-14","32","-3","-1","-4","6","18","12","12","-16","0","6","3","-23","20","-14","-8","-36","-18","21","8","-14","6","-5","5","-1","-14","-63","2","-5","-26","13","-9","-11","3","-38","1","30","7","20","-10","9","-30","-20","0","-12","5","-8","-10","-7","28","-41","-6","-30","-23","20","3","-42","-3","15","-5","8","-12","-65","1","14","6","36","-13","-10","-7","9","4","10","13","15","-7","-24","21","11","-2","71","24","-35","12","-28","2","15","-11","-36","-5","-4","6","-65","-1","21","-10","-12","-4","40","-15","4","3","16","-7","22","-19","-30","1","18","11","11","0","8","28","-26","-10","-30","-18","-34","-19","32","-8","-15","2","30","-27","9","19","-21","-2","27","-15","-3","0","-10","-3","3","-38","17","1","48","-39","10","-25","24","0","-3","-4","15","-10","16","-21","7","36","4","-1","-6","4","46","-4","-23","36","21","12","-12","9","-33","-5","56","-7","-14","8","15","26","33","9","-30","-4","-13","21","-14","-45","50","-5","12","8","-21","3","-35","-7","-19","3","52","-2","31","-10","0","-33","-8","-4","12","-30","6","10","15","8","-57","-4","7","-11","24","6","-30","-21","26","-4","57","-8","35","2","-65","-20","-15","22","46","16","-9","14","4","-32","0","3","-49","1","-10","4","-75","-6","31","-18","-10","-12","104","-12","-10","16","-28","0","25","-6","-29","-3","-9","23","-10","-20","-12","14","-61","8","-61","36","-13","18","42","-21","-15","-8","3","14","65","-6","-1","5","29","-5","27","1","26","14","-16","63","1","-2","-35","5","-15","26","-4","-13","72","9","-21","11","2","-3","4","38","42","-1","-35","-30","51","-7","-33","-20","-12","10","1","-9","12","30","25","20","63","0","-12","12","-74","-5","22","8","7","10","-11","7","-12","-28","-23","41","-36","6","21","30","46","23","66","-20","-10","-3","-2","42","-7","3","-18","-15","4","5","-15","-8","82","12","-7","65","-10","-1","-54","-14","29","-6","49","-36","-57","13","5","10","0","7","-70","-9","81","-4","-28","-10","-46","-13","-60","-15","-12","7","-19","24","-27","-21","-50","-11","54","2","-3","-71","-40","-24","5","35","19","-12","-58","28","14","-2","21","-15","-40","11","-125","36","42","5","18","4","39","-6","-20","65","-8","1","78","-21","16","10","-12","12","-25","4","-12","-40","-9","15","13","-4","-10","-3","-59","-16","42","7","-21","-22","23","19","4","30","8","-1","-26","-18","40","-11","33","-11","-4","0","13","-8","78","-28","-15","26","-26","10","-15","30","42","18","-5","34","-84","19","-21","-32","87","8","-11","15","-35","-2","69","-30","9","27","-4","-9","-38","-19","17","21","9","2","66","-27","-11","15","-5","3","-22","0","16","10","48","3","-19","-3","-42","38","29","-17","-18","-1","10","-48","-77","39","63","-10","6","25","21","-24","-28","0","-4","3","26","4","-55","-15","-39","10","35","-16","10","21","10","-7","-4","-36","-63","-4","-39","1","56","6","-34","-4","-30","-46","-32","4","-4","23","-63","-36","-3","-21","20","-12","-6","12","-3","-9","-19","33","22","5","-30","-56","15","7","-39","14","-42","-8","58","-15","-1","-26","3","-33","-69","-9","-35","30","10","4","-10","13","12","-21","-56","14","-18","45","-9","-50","4","5","-4","-12","4","-8","68","21","-98","-3","0","35","57","7","-40","19","28","-3","-8","-52","-15","2","-33","-31","-20","10","-53","0","17","33","-42","8","-84","4","-15","-12","10","30","18","-6","-57","-10","54","-15","4","-8","11","57","36","4","-73","-7","-6","11","39","-24","7","-6","-53","30","-38","21","81","-26","-56","4","14","-57","10","8","-35","-35","6","-2","15","65","26","20","0","15","26","-22","0","-46","-60","-16","33","9","29","-14","7","-4","114","32","-3","0","5","-3","100","49","-36","-1","52","10","61","-4","48","75","42","6","-70","-31","0","18","0","10","-35","12","21","-104","-3","12","30","10","30","-16","-12","28","-60","0","-12","-25","-108","6","19","29","-5","3","12","9","-73","-23","-12","10","27","20","84","12","0","-14","-28","61","-48","-8","46","61","-19","-36","32","13","99","-18","-27","-42","23","21","-16","15","-27","8","71","-3","21","-14","91","-65","65","6"],"lmfdb":"agrees","derived":{"al":[[2,1],[179,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"358.2.a.d","letter":"d","dim":2,"charpoly":["11","7","1"],"traces":["2","2","-3","2","-4","-3","-6","2","1","-4","0","-3","-3","-6","1","2","-8","1","-9","-4","9","0","-3","-3","8","-3","0","-6","6","1","4","2","5","-8","12","1","7","-9","12","-4","-3","9","-2","0","13","-3","-16","-3","4","8","7","-3","4","0","-10","-6","6","6","-2","1","16","4","-3","2","-9","5","-2","-8","12","12","-9","1","3","7","8","-9","0","12","13","-4","2","-3","-21","9","26","-2","-9","0","3","13","9","-3","9","-16","33","-3","-4","4","-15","8","-21","7","3","-3","-3","4","-6","0","20","-10","-28","-6","-26","6","-9","6","-24","-2","24","1","-12","16","-8","4","-36","-3","-22","2","-2","-9","-3","5","27","-2","-10","-8","-27","12","2","12","29","-9","15","1","-12","3","-6","7","21","8","-27","-9","11","0","-38","12","2","13","-11","-4","9","2","14","-3","5","-21","-9","9","1","26","18","-2","14","-9","-24","0","-17","3","2","13","6","9","-14","-3","21","9","-10","-16","0","33","-12","-3","-8","-4","6","4","15","-15","-11","8","18","-21","-18","7","31","3","-24","-3","-15","-3","36","4","-9","-6","14","0","-12","20","3","-10","-3","-28","28","-6","-56","-26","-38","6","-12","-9","-15","6","18","-24","22","-2","-42","24","-14","1","11","-12","12","16","-8","-8","-9","4","34","-36","41","-3","15","-22","-9","2","-31","-2","-21","-9","3","-3","14","5","2","27","18","-2","-27","-10","4","-8","-36","-27","40","12","47","2","-43","12","6","29","-26","-9","-12","15","9","1","8","-12","1","3","-32","-6","44","7","10","21","27","8","6","-27","49","-9","-52","11","-5","0","-27","-38","-15","12","-8","2","-39","13","-36","-11","0","-4","-1","9","51","2","48","14","-20","-3","48","5","18","-21","56","-9","-26","9","-18","1","49","26","30","18","30","-2","6","14","6","-9","38","-24","15","0","18","-17","63","3","-21","2","33","13","25","6","18","9","-21","-14","39","-3","36","21","-12","9","-16","-10","19","-16","-9","0","-12","33","43","-12","-36","-3","30","-8","14","-4","-5","6","-3","4","12","15","19","-15","26","-11","-18","8","-25","18","39","-21","-34","-18","-35","7","-10","31","28","3","6","-24","37","-3","-3","-15","21","-3","-26","36","-23","4","-72","-9","-48","-6","-30","14","-14","0","55","-12","3","20","-9","3","-40","-10","2","-3","-18","-28","-51","28","-19","-6","-3","-56","-25","-26","48","-38","27","6","-20","-12","-10","-9","39","-15","-54","6","17","18","-41","-24","6","22","12","-2","-10","-42","-96","24","17","-14","-3","1","-63","11","-36","-12","18","12","41","16","-51","-8","19","-8","-24","-9","25","4","27","34","29","-36","21","41","11","-3","7","15","-24","-22","42","-9","-9","2","-15","-31","39","-2","10","-21","4","-9","-7","3","-22","-3","-24","14","-46","5","-19","2","59","27","-33","18","32","-2","-3","-27","0","-10","-7","4","-9","-8","-60","-36","22","-27","-22","40","-27","12","-39","47","-14","2","-9","-43","-12","12","-5","6","66","29","32","-26","-6","-9","22","-12","-25","15","-2","9","48","1","19","8","-18","-12","63","1","-10","3","18","-32","-93","-6","-63","44","15","7","9","10","-78","21","44","27","65","8","-44","6","-46","-27","24","49","20","-9","27","-52","39","11","-20","-5","-14","0","-27","-27","-32","-38","15","-15","-9","12","102","-8","0","2","7","-39","-68","13","-39","-36","24","-11","-6","0","63","-4","-32","-1","10","9","-6","51","40","2","-40","48","-27","14","-8","-20","-9","-3","-21","48","-18","5","45","18","-18","-21","-99","56","-9","-9","-52","-26","20","9","-66","-18","40","1","-21","49","12","26","37","30","-28","18","79","30","18","-2","-21","6","-56","14","45","6","-4","-9","37","38","-27","-24","5","15","21","0","-3","18","63","-17","-26","63","74","3","39","-21","-15","2","46","33","-9","13","-9","25","-44","6","24","18","-56","9","-59","-21","18","-14","-9","39","2","-3","30","36","-25","21","-9","-12","46","9","-67","-16","-18","-10","18","19","30","-16","-49","-9","39","0","-51","-12","-30","33","94","43","-60","-12","-77","-36","-57","-3","-52","30","44","-8","-36","14","136","-4","84","-5","51","6","-45","-3","0","4","-34","12","-5","15","-71","19","78","-15","6","26","-3","-11","-9","-18","54","8","-66","-25","15","18","27","39","83","-21","25","-34","44","-18","-46","-35","32","7","24","-10","72","31","27","28","28","3","-40","6","6","-24","44","37","-78","-3","-16","-3","3","-15","30","21","-4","-3","-40","-26","31","36","43","-23","36","4","69","-72","-63","-9","-38","-48","-96","-6","45","-30","-42","14","24","-14","-19","0","-78","55","28","-12","-45","3","48","20","13","-9","108","3","-7","-40","23","-10","-23","2","-18","-3","-21","-18","0","-28","66","-51","30","28","57","-19","-4","-6","-63","-3","12","-56","-6","-25","6","-26","-12","48","6","-38","-63","27","-9","6","5","-20","18","-12","9","-10","17","-9","40","39","-54","-15","-112","-54","69","6","-36","17","-18","18","20","-41","60","-24","80","6","-13","22","-39","12","-33","-2","30","-10","-30","-42","18","-96","84","24","60","17","64","-14","15","-3","81","1","36","-63","27","11","76","-36","-37","-12","-24","18","-18","12","-6","41","-72","16","-62","-51","45","-8","-20","19","45","-8","-105","-24","-87","-9","-12","25","-55","4","-27","27","-33","34","19","29","-35","-36"],"lmfdb":"agrees","derived":{"al":[[2,-1],[179,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"358.2.a.e","letter":"e","dim":2,"charpoly":["-1","-4","1"],"traces":["2","2","3","2","1","3","4","2","1","1","-2","3","-11","4","-6","2","5","1","-3","1","6","-2","-2","3","13","-11","0","4","-5","-6","5","2","2","5","2","1","-6","-3","-14","1","-4","6","-19","-2","-22","-2","16","3","-6","13","15","-11","16","0","-16","4","-7","-5","5","-6","-3","5","2","2","-13","2","1","5","-8","2","2","1","2","-6","12","-3","-4","-14","24","1","2","-4","11","6","-20","-19","-5","-2","3","-22","-22","-2","-10","16","6","3","18","-6","14","13","-12","15","-2","-11","-12","16","-19","0","24","-16","-14","4","-14","-7","14","-5","2","5","10","-6","-10","-3","4","5","24","2","-20","2","-36","-13","24","2","-6","1","-15","5","2","-8","5","2","24","2","16","1","-10","2","-9","-6","-1","12","-1","-3","25","-4","55","-14","-12","24","24","1","-4","2","-18","-4","-14","11","20","6","37","-20","-9","-19","-1","-5","26","-2","25","3","-2","-22","-24","-22","-7","-2","12","-10","10","16","0","6","15","3","9","18","23","-6","-6","14","19","13","-11","-12","-10","15","-32","-2","-16","-11","-2","-12","0","16","-12","-19","13","0","10","24","38","-16","-20","-14","4","4","-16","-14","32","-7","-2","14","4","-5","28","2","8","5","36","10","-5","-6","-46","-10","-12","-3","-3","4","14","5","24","24","36","2","-8","-20","-45","2","-4","-36","-12","-13","5","24","-10","2","8","-6","12","1","18","-15","28","5","-28","2","-28","-8","4","5","-50","2","-20","24","22","2","19","16","-8","1","1","-10","32","2","16","-9","-50","-6","10","-1","6","12","-38","-1","-38","-3","6","25","-10","-4","2","55","-30","-14","-22","-12","-44","24","48","24","10","1","-36","-4","-15","2","-79","-18","26","-4","32","-14","-16","11","-18","20","38","6","47","37","-46","-20","-40","-9","-40","-19","26","-1","-15","-5","-28","26","5","-2","-8","25","46","3","30","-2","-39","-22","-31","-24","-25","-22","-104","-7","21","-2","28","12","32","-10","-23","10","21","16","30","0","0","6","-20","15","-27","3","-32","9","-32","18","23","23","-20","-6","16","-6","12","14","-21","19","-14","13","27","-11","-45","-12","46","-10","-4","15","-16","-32","38","-2","10","-16","-17","-11","40","-2","-25","-12","-64","0","8","16","10","-12","-6","-19","-6","13","-32","0","16","10","5","24","8","38","-5","-16","-3","-20","-31","-14","-21","4","26","4","22","-16","24","-14","46","32","-26","-7","30","-2","15","14","-20","4","-6","-5","55","28","-4","2","2","8","-18","5","4","36","-12","10","8","-5","7","-6","28","-46","-16","-10","-6","-12","11","-3","-12","-3","-56","4","-5","14","22","5","4","24","-31","24","10","36","40","2","54","-8","28","-20","29","-45","4","2","-5","-4","-16","-36","-16","-12","6","-13","42","5","22","24","24","-10","-40","2","-34","8","55","-6","32","12","13","1","-3","18","6","-15","-51","28","-6","5","42","-28","58","2","-9","-28","5","-8","48","4","38","5","-33","-50","97","2","20","-20","-8","24","68","22","4","2","2","19","34","16","10","-8","2","1","-2","1","-29","-10","22","32","-16","2","121","16","44","-9","10","-50","-54","-6","1","10","-40","-1","21","6","20","12","15","-38","-37","-1","25","-38","-9","-3","-10","6","-88","25","-28","-10","-28","-4","39","2","-53","55","-10","-30","6","-14","-8","-22","-8","-12","-30","-44","0","24","10","48","-40","24","33","10","-44","1","-46","-36","-20","-4","87","-15","11","2","30","-79","-20","-18","-17","26","72","-4","106","32","22","-14","43","-16","-65","11","12","-18","0","20","36","38","-2","6","14","47","-15","37","30","-46","36","-20","28","-40","-35","-9","-104","-40","12","-19","-88","26","-56","-1","28","-15","-95","-5","20","-28","52","26","-50","5","14","-2","-48","-8","-24","25","16","46","12","3","30","30","98","-2","-55","-39","-13","-22","-4","-31","-84","-24","-40","-25","46","-22","-59","-104","-70","-7","-25","21","18","-2","-26","28","-52","12","31","32","27","-10","-83","-23","28","10","-38","21","2","16","44","30","-143","0","-26","0","-12","6","-11","-20","48","15","-55","-27","-10","3","10","-32","-36","9","23","-32","85","18","-28","23","-4","23","-32","-20","5","-6","-6","16","-58","-6","-20","12","-28","14","14","-21","-48","19","36","-14","40","13","24","27","68","-11","28","-45","12","-12","-71","46","-57","-10","52","-4","-54","15","36","-16","4","-32","-64","38","60","-2","-2","10","-8","-16","50","-17","46","-11","-15","40","70","-2","-35","-25","-12","-12","-43","-64","20","0","101","8","-20","16","58","10","16","-12","-34","-6","33","-19","0","-6","72","13","8","-32","59","0","-23","16","39","10","-24","5","-18","24","24","8","48","38","39","-5","44","-16","8","-3","40","-20","-85","-31","89","-14","-40","-21","-32","4","-24","26","-1","4","34","22","-30","-16","40","24","-72","-14","-102","46","11","32","-66","-26","17","-7","4","30","19","-2","48","15","30","14","-70","-20","-26","4","-24","-6","14","-5","4","55","9","28","-70","-4","-10","2","13","2","-68","8","0","-18","-16","5","-30","4","63","36","24","-12","82","10","16","8","45","-5","0","7","4","-6","73","28","-32","-46","132","-16","84","-10","-40","-6","29","-12","10","11","-61","-3","-5","-12","12","-3","-18","-56","61","4","132","-5","48","14","34","22","-48","5","-4","4","32","24","-6","-31","-10","24"],"lmfdb":"agrees","derived":{"al":[[2,-1],[179,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"358.2.a.f","letter":"f","dim":2,"charpoly":["5","-5","1"],"traces":["2","2","3","2","2","3","-4","2","1","2","4","3","3","-4","3","2","-4","1","5","2","-11","4","-7","3","-8","3","0","-4","0","3","-6","2","1","-4","-4","1","1","5","2","2","-11","-11","18","4","1","-7","6","3","4","-8","-11","3","-2","0","4","-4","10","0","10","3","-16","-6","-17","2","3","1","6","-4","2","-4","-11","1","-17","1","-12","5","2","2","-15","2","2","-11","13","-11","-4","18","-15","4","15","1","-1","-7","1","6","5","3","-4","4","-13","-8","19","-11","13","3","-11","-2","26","0","-20","4","-6","-4","-2","10","-7","0","-6","10","18","3","-4","-16","-4","-6","-18","-17","-4","2","22","3","-1","1","-15","6","0","-4","21","2","30","-4","-11","-11","11","1","0","-17","26","1","5","-12","9","5","-17","2","-6","2","-14","-15","27","2","-11","2","18","-11","1","13","21","-11","-19","-4","10","18","18","-15","16","4","15","15","-2","1","24","-1","-14","-7","1","1","2","6","-10","5","-16","3","-12","-4","2","4","31","-13","-15","-8","34","19","30","-11","-11","13","34","3","5","-11","24","-2","-19","26","18","0","-8","-20","-23","4","-1","-6","-32","-4","-4","-2","26","10","0","-7","3","0","-2","-6","6","10","-40","18","10","3","-1","-4","-12","-16","4","-4","5","-6","42","-18","39","-17","-39","-4","-11","2","21","22","13","3","-45","-1","-12","1","-2","-15","10","6","-15","0","-16","-4","-4","21","-16","2","-19","30","27","-4","-6","-11","-22","-11","10","11","-3","1","-16","0","-1","-17","-22","26","10","1","-10","5","-23","-12","-26","9","21","5","-16","-17","21","2","27","-6","-11","2","28","-14","-17","-15","36","27","30","2","39","-11","-15","2","-12","18","-40","-11","28","1","-26","13","-22","21","6","-11","-34","-19","7","-4","-32","10","-20","18","2","18","-34","-15","-40","16","-5","4","-2","15","-11","15","47","-2","-25","1","-23","24","-26","-1","-17","-14","-29","-7","32","1","-56","1","8","2","-27","6","15","-10","-40","5","-41","-16","38","3","2","-12","-6","-4","15","2","-11","4","-44","31","-15","-13","-4","-15","-40","-8","-41","34","-19","19","2","30","17","-11","-10","-11","44","13","-20","34","13","3","45","5","15","-11","4","24","-57","-2","16","-19","12","26","4","18","4","0","23","-8","-15","-20","-5","-23","10","4","62","-1","-2","-6","15","-32","25","-4","5","-4","-47","-2","26","26","-1","10","-4","0","-10","-7","-1","3","-22","0","1","-2","21","-6","-62","6","-36","10","46","-40","-20","18","89","10","5","3","9","-1","-24","-4","-4","-12","11","-16","37","4","29","-4","30","5","-13","-6","27","42","15","-18","19","39","-7","-17","19","-39","-36","-4","20","-11","29","2","5","21","13","22","52","13","12","3","-31","-45","18","-1","44","-12","-8","1","41","-2","5","-15","-29","10","26","6","-3","-15","-32","0","-41","-16","41","-4","-20","-4","-34","21","22","-16","-15","2","65","-19","-6","30","51","27","32","-4","3","-6","-2","-11","-2","-22","26","-11","-10","10","9","11","6","-3","28","1","71","-16","2","0","-71","-1","-64","-17","-6","-22","41","26","-5","10","59","1","33","-10","18","5","-10","-23","-65","-12","4","-26","78","9","-4","21","66","5","75","-16","29","-17","-62","21","-4","2","21","27","0","-6","25","-11","-5","2","22","28","0","-14","13","-17","14","-15","61","36","-4","27","-14","30","-13","2","-36","39","38","-11","22","-15","-34","2","20","-12","-17","18","-52","-40","-1","-11","-1","28","-70","1","-41","-26","-4","13","-15","-22","-75","21","-68","6","-52","-11","-42","-34","0","-19","1","7","-2","-4","29","-32","-32","10","21","-20","30","18","-33","2","4","18","1","-34","30","-15","-3","-40","-53","16","-51","-5","-5","4","-11","-2","-23","15","80","-11","-60","15","71","47","11","-2","-30","-25","-65","1","-41","-23","-64","24","0","-26","36","-1","-59","-17","-26","-14","43","-29","26","-7","-38","32","-55","1","5","-56","-42","1","5","8","74","2","-52","-27","-36","6","71","15","9","-10","-29","-40","-16","5","-46","-41","60","-16","-17","38","15","3","40","2","24","-12","38","-6","24","-4","32","15","-15","2","-17","-11","-30","4","-14","-44","-19","31","17","-15","-16","-13","-34","-4","27","-15","51","-40","28","-8","-30","-41","-39","34","-11","-19","-65","19","25","2","64","30","-14","17","18","-11","40","-10","-8","-11","-1","44","-2","13","-4","-20","-14","34","-60","13","4","3","-48","45","21","5","20","15","20","-11","32","4","-19","24","-19","-57","48","-2","-63","16","-41","-19","18","12","10","26","41","4","70","18","-2","4","3","0","18","23","-4","-8","5","-15","-16","-20","13","-5","36","-23","1","10","-23","4","-51","62","38","-1","15","-2","-44","-6","78","15","34","-32","-5","25","-2","-4","-7","5","-60","-4","-56","-47","-74","-2","24","26","-14","26","-13","-1","79","10","-19","-4","-14","0","87","-10","25","-7","44","-1","-14","3","-4","-22","29","0","40","1","30","-2","46","21","2","-6","36","-62","-3","6","-61","-36","101","10","-10","46","6","-40","-28","-20","84","18","28","89","-16","10","15","5","-67","3","-4","9","13","-1","-12","-24","21","-4","-40","-4","-46","-12","-60","11","-8","-16","-34","37","55","4","-40","29","63","-4","31","30","67","5","-88","-13","-11","-6","-39","27","-15","42","-49","15","-15","-18"],"lmfdb":"agrees","derived":{"al":[[2,-1],[179,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"358.2.a.g","letter":"g","dim":4,"charpoly":["-1","19","24","9","1"],"traces":["4","-4","-2","4","-7","2","0","-4","6","7","-4","-2","-8","0","-5","4","-15","-6","4","-7","-17","4","-9","2","5","8","-14","0","-7","5","3","-4","-15","15","0","6","-7","-4","4","7","-9","17","3","-4","-19","9","-22","-2","6","-5","16","-8","-8","14","24","0","15","7","-11","-5","-15","-3","17","4","14","15","-5","-15","-4","0","15","-6","15","7","40","4","0","-4","21","-7","40","9","10","-17","22","-3","46","4","-6","19","17","-9","-27","22","-7","2","-2","-6","11","5","17","-16","-1","8","51","8","-19","-14","-8","-24","12","0","-12","-15","3","-7","-46","11","0","5","-6","15","30","3","-12","-17","12","-4","-10","-14","11","-15","-51","5","33","15","1","4","-15","0","11","-15","-9","6","-26","-15","-3","-7","-22","-40","34","-4","-48","0","-1","4","-58","-21","-13","7","17","-40","2","-9","39","-10","9","17","-2","-22","23","3","-19","-46","-34","-4","-20","6","-4","-19","-22","-17","-1","9","-9","27","-2","-22","-68","7","-9","-2","9","2","27","6","1","-11","26","-5","11","-17","-34","16","3","1","46","-8","13","-51","-2","-8","35","19","-1","14","34","8","-33","24","47","-12","-20","0","16","12","-4","15","-42","-3","17","7","6","46","64","-11","66","0","-7","-5","31","6","-114","-15","-19","-30","-59","-3","-22","12","37","17","9","-12","6","4","-1","10","-17","14","-2","-11","-38","15","14","51","-48","-5","-25","-33","-4","-15","68","-1","-56","-4","7","15","47","0","10","-11","2","15","-73","9","-17","-6","1","26","69","15","-48","3","32","7","-20","22","1","40","0","-34","17","4","90","48","47","0","-25","1","-21","-4","18","58","17","21","68","13","-44","-7","35","-17","-32","40","-27","-2","-98","9","0","-39","20","10","66","-9","64","-17","-39","2","23","22","14","-23","0","-3","24","19","79","46","-14","34","62","4","-10","20","-39","-6","85","4","14","19","30","22","37","17","-5","1","38","-9","-56","9","34","-27","-59","2","-96","22","-3","68","-36","-7","11","9","-61","2","-34","-9","30","-2","44","-27","21","-6","20","-1","-75","11","-107","-26","-34","5","50","-11","-6","17","-36","34","7","-16","-14","-3","8","-1","68","-46","-26","8","-35","-13","-66","51","-46","2","-135","8","-6","-35","-34","-19","64","1","40","-14","15","-34","-106","-8","-9","33","13","-24","43","-47","39","12","2","20","45","0","-35","-16","-25","-12","-34","4","-51","-15","-38","42","95","3","-29","-17","-4","-7","60","-6","-15","-46","-68","-64","46","11","14","-66","56","0","5","7","-2","5","-37","-31","-34","-6","12","114","-4","15","-1","19","-43","30","39","59","-15","3","-17","22","12","-12","-13","-37","15","-17","-51","-9","18","12","-25","-6","-17","-4","20","1","-45","-10","22","17","-50","-14","57","2","72","11","-68","38","-24","-15","-25","-14","-76","-51","35","48","-5","5","2","25","-6","33","0","4","79","15","82","-68","-52","1","-167","56","44","4","-51","-7","-38","-15","60","-47","-23","0","69","-10","-42","11","72","-2","170","-15","56","73","-7","-9","-4","17","10","6","-33","-1","-47","-26","17","-69","8","-15","123","48","55","-3","-31","-32","25","-7","6","20","0","-22","21","-1","15","-40","-77","0","-135","34","-15","-17","-55","-4","-17","-90","95","-48","-4","-47","-44","0","-20","25","51","-1","-79","21","85","4","30","-18","-66","-58","5","-17","26","-21","1","-68","30","-13","-29","44","-105","7","30","-35","-36","17","9","32","-79","-40","-6","27","-51","2","15","98","-49","-9","99","0","4","39","-110","-20","-49","-10","119","-66","37","9","44","-64","66","17","80","39","25","-2","13","-23","-102","-22","-15","-14","15","23","11","0","-98","3","33","-24","6","-19","119","-79","39","-46","55","14","65","-34","-41","-62","61","-4","53","10","-17","-20","-30","39","-96","6","23","-85","-31","-4","63","-14","4","-19","119","-30","10","-22","140","-37","2","-17","90","5","-24","-1","-88","-38","-16","9","56","56","-51","-9","-64","-34","-7","27","98","59","100","-2","68","96","34","-22","-95","3","-68","-68","47","36","4","7","27","-11","68","-9","118","61","107","-2","-22","34","94","9","23","-30","-43","2","-68","-44","-9","27","-83","-21","67","6","76","-20","61","1","-83","75","-68","-11","64","107","61","26","-11","34","108","-5","110","-50","53","11","17","6","-81","-17","78","36","85","-34","2","-7","-12","16","20","14","-102","3","19","-8","10","1","-74","-68","-8","46","70","26","-46","-8","-31","35","-71","13","-121","66","-36","-51","45","46","-73","-2","-22","135","0","-8","-35","6","71","35","52","34","-121","19","85","-64","-58","-1","68","-40","-36","14","63","-15","-77","34","-123","106","10","8","-173","9","170","-33","-14","-13","-27","24","-21","-43","-10","47","120","-39","13","-12","-102","-2","62","-20","-73","-45","7","0","25","35","-52","16","30","25","-34","12","-38","34","-17","-4","17","51","58","15","7","38","57","-42","-85","-95","175","-3","2","29","38","17","72","4","75","7","44","-60","23","6","70","15","-56","46","33","68","-145","64","-33","-46","-1","-11","68","-14","-139","66","-98","-56","-34","0","28","-5","37","-7","-29","2","-17","-5","-75","37","-139","31","-20","34","-19","6","-52","-12","-31","-114","68","4","-165","-15","-67","1","23","-19","90","43","-106","-30","-91","-39","221","-59","6","15","-19","-3","143","17","-105","-22","-7","-12","-69","12"],"lmfdb":"agrees","derived":{"al":[[2,1],[179,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.302,"computed":"atlas","estimate":{"seconds":0.283,"low":0.173,"high":0.49,"bytes":1968225},"url":"https://sagebrush.space/atlas/mf/358.2.a"}