{"label":"799.2.a","level":799,"weight":2,"dims":{"new":61,"cusp":71,"eisenstein":3,"modsym":145},"old":[[17,1,2],[47,4,2]],"T":[[2,1],[3,3],[5,5],[7,7],[11,9]],"status":"proven","checks":["dim M^+ at levels [1, 17, 47, 799]: [0, 2, 5, 74] (certified at ell = 2147483137)","T = [(2, 1), (3, 3), (5, 5), (7, 7), (11, 9)]; h of degree 61 = 1 x 61 (phi(ord eps) x dim S_k^new); 15 primes, 0 rejected"],"newforms":[{"label":"799.2.a.a","letter":"a","dim":1,"charpoly":["9","1"],"traces":["1","-1","2","-1","0","-2","-2","3","1","0","0","-2","-6","2","0","-1","1","-1","-4","0","-4","0","4","6","-5","6","-4","2","-4","0","0","-5","0","-1","0","-1","6","4","-12","0","4","4","-12","0","0","-4","1","-2","-3","5","2","6","-10","4","0","-6","-8","4","-12","0","14","0","-2","7","0","0","4","-1","8","0","-6","3","8","-6","-10","4","0","12","2","0","-11","-4","16","4","0","12","-8","0","-10","0","12","-4","0","-1","0","-10","-6","3","0","5","14","-2","-20","-18","0","10","12","4","-8","0","12","2","-16","8","0","4","-6","12","-2","0","-11","-14","8","0","0","2","0","3","-24","0","-10","0","8","-4","0","3","14","-8","16","0","2","6","0","-1","0","-8","-6","-6","-22","10","16","-12","1","0","0","12","10","-2","-20","0","-8","11","-16","-4","0","-16","0","-12","23","0","-4","12","14","8","10","0","-24","10","4","0","20","-12","28","12","0","0","0","-1","8","0","12","14","16","6","0","3","26","0","20","-15","8","-14","8","-2","0","20","4","6","0","0","20","10","-12","-12","0","-12","0","8","16","0","-6","-12","-16","10","-5","16","-28","8","-2","0","0","-12","-4","6","0","12","4","2","8","0","-26","11","-10","-14","0","-8","24","0","32","0","0","2","0","0","0","-17","-30","24","-12","0","-4","10","0","0","0","-8","-20","-4","6","0","-12","-1","24","-14","0","-8","10","-16","0","0","-2","-2","22","6","0","0","-8","-5","1","0","-12","-8","-2","6","0","18","0","22","-24","10","24","-16","28","4","0","-1","-8","0","-40","0","20","-36","4","-10","0","-2","-12","20","0","0","24","8","-4","11","30","16","-16","12","-2","0","-20","-16","6","0","0","4","-18","-23","-32","0","0","4","20","-36","0","-14","-18","8","10","-10","24","0","-18","24","0","10","-4","-4","-16","0","-3","-20","-22","-12","0","-28","8","-4","4","0","20","0","-14","0","0","3","24","-8","22","0","0","-12","-12","6","0","-16","-12","6","-10","0","4","-9","-20","-26","0","0","-2","-20","16","5","-10","-8","0","-14","0","-8","0","6","-22","0","28","20","24","-4","0","30","32","0","-20","0","-30","-20","1","-30","-5","12","-28","-12","0","0","-22","4","-22","0","0","8","-16","-16","-18","0","-3","6","36","-12","0","16","-44","-14","20","5","0","16","32","28","0","-24","-10","2","-4","0","-30","0","24","4","0","4","4","6","-8","0","20","-36","0","-4","20","2","-10","-8","-10","0","-36","26","-16","11","0","10","-38","42","-32","0","-8","-8","-4","-24","0","0","12","-32","-8","0","0","0","16","-6","0","0","46","0","-34","0","-16","11","16","30","0","24","0","12","28","0","-42","4","-4","10","20","0","0","0","-7","0","-12","-8","-24","20","0","12","8","-6","0","0","10","12","40","-5","0","-24","4","-14","14","0","16","24","-4","-10","0","-16","18","0","72","0","0","2","20","-2","0","-22","22","-18","6","0","-22","0","24","8","-20","7","30","-1","32","0","-32","12","0","24","0","2","-20","6","0","0","52","-6","-18","0","0","22","40","24","-32","-30","-46","-24","4","-16","0","-28","40","20","16","0","-6","-1","6","8","0","0","10","40","6","0","-16","-20","20","12","25","-4","0","-10","6","0","16","6","40","12","0","20","18","0","-6","0","-12","-24","10","8","0","4","36","-33","0","-30","0","16","22","16","0","-4","8","2","4","0","10","20","-12","48","0","-6","-16","0","-32","0","0","20","16","18","20","-23","-12","32","12","0","-56","0","18","4","0","-20","-4","12","60","0","4","-14","0","18","0","-24","4","-10","-8","-10","-30","-24","-24","0","0","18","-28","24","-6","0","2","-30","0","4","0","-4","16","16","-6","0","40","3","-52","-20","20","22","-16","36","13","0","-12","-28","-30","-8","0","-20","0","-4","-16","0","48","-20","-20","0","0","14","16","0","-24","0","-52","-1","0","-24","0","-8","6","-22","0","0","34","0","16","-12","0","12","72","-34","-50","0","-60","-16","6","12","0","-18","-24","10","-16","0","0","-4","16","3","0","20","-20","-26","0","0","32","0","-84","2","0","-20","18","-16","1","25","-10","10","0","-8","0","0","12","42","48","0","30","-8","-24","0","0","-2","48","22","12","0","-12","-28","34","-60","0","-24","6","-4","-10","0","20","-42","-3","-32","0","0","0","20","-4","0","-13","30","-4","-20","0","-1","22","10","44","5","24","12","-26","28","0","36","-32","0","-28","0","-16","22","24","20","0","22","2","0","0","0","-24","-24","-6","16","0","-16","-40","18","-4","0","-36","3","48","6","0","-36","4","36","0","0","0","16","-4","44","0","-6","-48","-20","0","5","-10","0","48","-48","0","-32","42","28","14","0","18","8","0","10","0","2","20","4","16","0","-16","30","36","0","-30","-24","-20","20","-42","0","12","4","40","-4","0","-18","46","8","8","0","-42","-20","16","12","0","0","38","-4","-48","-20","-24","-6","-18","10","0","-8","0","10","-28","0","-31","36","12","26","0","16","-28","-33","-8","0","20","10","-32","38","60","-14","-34","32","0","0","-8","8","60","24","0","4","-4","-24","-48","0","-30","0","-40","-12","0","-32","4","8","-24","0"],"lmfdb":"agrees","curve":{"cremona":"799b1","lmfdb":"799.a","ainvs":[1,1,1,-118,418],"rank":1,"torsion":2}},{"label":"799.2.a.b","letter":"b","dim":1,"charpoly":["-11","1"],"traces":["1","-1","2","-1","4","-2","-2","3","1","-4","0","-2","2","2","8","-1","1","-1","4","-4","-4","0","-4","6","11","-2","-4","2","8","-8","8","-5","0","-1","-8","-1","-2","-4","4","12","-8","4","-4","0","4","4","-1","-2","-3","-11","2","-2","6","4","0","-6","8","-8","4","-8","6","-8","-2","7","8","0","-4","-1","-8","8","-6","3","4","2","22","-4","0","-4","2","-4","-11","8","0","4","4","4","16","0","6","-4","-4","4","16","1","16","-10","10","3","0","-11","-18","-2","-4","6","-16","-6","-4","4","-4","0","-4","2","12","-8","-16","-8","2","-4","-2","24","-11","-6","-16","-8","24","2","-8","3","-8","-8","6","0","-8","4","-16","3","6","8","0","8","-2","6","0","-1","32","-4","-6","2","10","-22","-16","12","1","0","32","-4","10","-2","12","-20","8","11","-16","8","0","0","-8","-12","-9","-4","4","4","-26","-16","-22","0","8","-6","-12","-4","16","4","12","-12","-8","-16","0","1","8","-16","12","14","-20","-10","16","3","-22","0","-20","33","-8","18","-16","-2","-32","4","-4","-2","0","16","-12","-6","-12","4","-16","-12","-16","4","8","0","2","4","-16","10","11","-12","-28","-8","14","16","0","24","0","-2","-4","-4","4","2","8","-8","-18","11","-10","-6","-12","16","8","24","0","-24","16","2","0","8","8","-17","18","8","4","-8","8","-6","-16","0","24","8","12","4","14","16","-28","-1","-8","-6","0","8","10","0","8","-24","-26","2","6","6","32","0","16","-5","1","-32","20","-4","30","6","16","-6","0","-10","-8","-22","8","16","-36","-4","24","-1","8","0","-8","-32","12","12","8","-10","-8","-2","-32","-12","0","28","-8","-8","4","11","22","16","-8","-24","2","0","28","0","-2","8","-16","4","6","9","24","-4","0","-4","20","-12","-32","26","30","-16","-30","22","-8","0","14","-8","-24","-6","-4","12","0","12","-3","-16","-22","4","16","-12","-16","4","-8","8","-12","-16","26","0","48","-3","16","-8","38","-16","-16","-12","-12","6","0","20","-4","-10","-26","-16","-4","-9","12","22","8","0","22","20","-16","-11","-18","8","16","18","-44","16","0","6","-22","32","12","4","-8","4","0","-10","0","0","28","16","26","12","-1","18","11","12","-12","4","0","16","10","4","-38","16","64","4","-16","-8","14","0","-3","-2","12","4","24","16","20","-14","24","-11","0","-12","-32","28","-16","24","-10","-14","-4","16","10","0","-8","-8","64","0","4","-2","8","4","20","12","0","-4","44","2","6","-8","6","-40","-4","18","16","11","40","10","-22","18","-32","12","24","16","8","-8","0","-8","12","0","40","-24","-16","-16","-24","-6","-72","0","-18","8","30","-8","-8","11","-16","-18","-16","8","0","-4","-52","24","-18","-8","-4","-6","-44","16","8","0","-7","-24","4","8","-16","-12","-16","-12","-24","-14","0","16","-22","28","32","-5","-16","8","4","-6","6","0","32","-24","-4","-10","-16","0","42","-8","-8","8","0","26","20","2","48","-6","22","-18","14","-32","10","0","24","-16","-44","7","22","-1","-40","-32","0","-20","0","12","8","-30","-44","6","32","-16","-44","2","6","0","-8","-10","-40","8","-16","66","2","-8","-4","16","-44","36","-32","-20","-32","-24","-2","-1","-26","-8","-64","0","-38","8","-42","-32","16","-12","-12","-4","41","-8","0","-10","-2","8","32","6","-24","32","-32","-12","-6","0","-6","12","24","8","-6","-8","-32","-4","-12","-33","0","-22","-32","16","46","8","24","8","4","-2","-28","0","10","-28","4","0","-32","2","-32","8","-32","16","0","20","44","-6","-44","9","-32","-24","-20","12","-56","0","2","-4","24","-20","28","4","12","32","-28","26","0","-30","0","48","-8","30","0","22","10","8","-8","0","-8","-14","36","-8","10","24","2","18","-32","4","0","12","16","0","42","-4","8","3","-36","-16","88","22","-40","-12","13","-16","-4","-12","34","16","-24","20","0","8","32","8","16","12","-12","48","40","-26","0","0","8","-48","4","1","32","-16","-64","-8","22","-38","0","48","50","16","8","-12","4","12","8","-34","-2","0","36","20","6","4","88","30","8","26","-32","-16","0","4","-32","3","40","-12","12","22","-32","-8","-24","0","12","-22","48","20","-6","16","-1","-55","6","18","0","8","32","-16","28","-54","12","44","-50","16","-56","0","-64","-2","-16","22","-4","32","32","-12","-30","-12","0","8","54","4","6","0","20","14","-3","0","-32","0","-32","-28","4","-48","35","-26","-52","12","-36","1","22","-6","12","-11","8","12","-18","12","16","-12","-36","0","-28","16","32","-10","-24","20","-104","38","2","16","0","-64","-8","-12","10","16","-48","-8","28","-14","60","0","48","3","16","-2","32","-12","28","-12","16","-24","0","16","-4","-20","-48","-6","-16","-24","64","-11","6","0","16","36","64","32","26","28","-18","16","-30","-8","0","10","48","-14","-12","4","-8","-48","16","-10","-12","0","-22","8","-4","-40","46","-64","-12","0","24","-4","0","6","-58","-8","16","4","-18","-20","32","-4","32","0","38","-4","8","-44","-64","-6","38","-6","48","-8","0","-6","-12","56","33","4","-4","18","-80","-16","-44","-33","8","-40","-20","10","0","22","44","-6","30","32","0","12","-4","-24","-44","-48","-88","-8","4","-8","16","0","2","-40","56","-12","-80","0","0","-40","8","72"],"lmfdb":"agrees","curve":{"cremona":"799a1","lmfdb":"799.b","ainvs":[1,1,1,-16,16],"rank":0,"torsion":2}},{"label":"799.2.a.c","letter":"c","dim":2,"charpoly":["1199","76","1"],"traces":["2","-3","0","3","-1","-5","-2","-6","4","4","-6","15","8","8","-5","13","2","-6","9","-9","-10","9","-5","-20","-7","-17","0","-18","-10","10","1","-15","0","-3","6","6","-11","-6","10","13","-14","20","-10","-9","-2","5","2","15","-2","8","0","27","-9","5","3","26","-15","10","6","-15","-4","6","-4","4","-9","15","-21","3","5","-14","-24","-12","-14","14","5","-9","6","-35","25","-14","-22","26","18","-30","-1","15","10","18","-12","8","-18","0","-15","-3","3","-15","5","-7","-12","-3","-13","-5","23","-44","10","26","22","-15","-1","-12","5","-28","-22","0","0","0","16","-4","-2","25","-4","-4","-10","-21","6","16","10","9","0","26","-8","-45","6","24","5","-6","6","5","-11","24","0","31","-24","26","0","21","20","-9","-3","10","25","3","4","-24","7","75","0","-45","-25","15","0","33","8","-36","15","-37","11","50","16","4","18","-15","24","10","2","-39","-10","28","-20","-18","-8","52","20","5","3","20","-6","3","10","3","-24","30","-3","10","-25","27","-3","18","-2","11","15","37","0","15","12","-37","-10","67","-27","-30","-45","-51","10","-43","5","20","14","24","0","27","8","20","-1","30","-14","13","-4","45","51","-5","30","10","0","-34","-1","-6","15","8","-57","-40","-23","6","0","24","-9","50","21","27","20","-29","15","-36","15","-45","-5","-9","11","25","6","-51","-20","-23","6","60","17","6","-20","-9","-38","-10","-10","13","-50","-4","21","-30","-35","44","2","-38","14","-5","-12","-21","-15","51","24","-30","2","-10","-35","-21","12","-25","2","23","0","-23","-15","-45","10","-15","-35","36","-8","-6","43","54","5","-13","0","-110","-18","-15","12","60","-8","60","30","-17","20","-10","9","-33","-23","23","-45","62","-2","-30","1","57","-22","-34","3","-80","-17","-64","40","-9","-3","-12","-4","30","10","-51","29","-60","9","-18","-10","45","45","0","7","-48","-10","55","-35","26","25","-13","0","-102","7","-20","9","-25","-28","-17","34","-15","2","9","40","-6","-30","-20","31","-18","60","11","25","-25","-18","-33","-20","-45","28","60","-5","-34","70","37","-20","-18","-16","18","-30","-38","24","30","-11","-72","11","-20","33","-20","-3","-38","-10","42","4","10","-19","-75","-55","18","0","60","-59","75","4","77","-7","45","-16","63","-30","-20","11","-15","59","-26","20","-69","-30","35","20","-39","-4","-17","8","-75","16","-31","55","-34","-9","16","42","27","-45","-34","34","-45","-44","-69","0","15","29","-60","7","-50","5","40","-3","54","6","4","30","2","30","-85","-39","-18","-18","88","-27","45","-39","27","20","-6","15","40","11","-28","-70","16","-33","-120","-10","-24","6","-16","14","-75","0","69","35","-45","-20","52","24","-15","80","105","28","10","14","18","15","-44","-14","-75","-6","-34","30","77","-69","20","30","93","30","-19","1","-45","-31","-43","12","-36","-66","60","-21","33","-50","82","6","15","19","-15","50","-15","23","120","-26","-6","-8","-24","-60","35","-40","45","25","-99","-21","12","-40","54","0","-1","71","15","-9","78","22","52","-22","15","-2","-81","50","-76","20","8","-4","-3","75","30","-38","40","27","42","-18","-3","18","15","27","2","-65","-64","-12","-15","6","78","-30","25","58","55","4","-40","-42","-30","2","85","16","-45","40","12","8","6","-26","-72","40","-78","-3","-65","45","18","-5","-55","32","125","12","27","45","45","-11","-28","-56","-105","-15","7","-35","-105","12","-30","-48","8","-66","-85","32","30","25","-6","-3","66","-18","42","10","-93","-16","70","-31","-106","-28","8","-39","45","9","16","10","-94","12","28","30","69","65","-27","12","90","-38","73","-5","144","44","-5","30","13","80","-18","14","-18","2","-24","-15","-65","-61","-15","4","81","12","-61","33","70","-14","-6","-80","48","-57","35","-57","-12","-5","-50","48","30","5","-38","50","76","-10","20","27","-105","-5","25","60","-28","-28","30","15","63","40","10","6","154","-14","-28","-10","0","-22","-51","-5","30","63","52","19","42","-15","-86","18","35","-26","32","36","-9","-42","-75","-2","13","45","50","10","30","29","1","-15","21","10","-115","46","39","-2","-20","14","-45","29","42","55","108","-16","30","-11","55","50","-52","-48","-105","72","5","-10","17","-15","-85","-47","-102","20","65","-18","36","4","39","35","-48","54","30","2","45","-24","-61","42","-135","-10","44","-50","109","9","-44","10","60","60","-42","31","15","-45","-48","-36","78","45","0","-38","-79","-15","4","51","0","-25","56","15","46","-2","110","-23","27","15","-55","-18","-90","2","96","-40","-90","-48","-6","4","-96","-120","8","30","-165","25","24","6","-106","-36","105","8","45","80","-49","22","15","-27","-111","0","36","-75","-30","-69","93","10","15","-46","-105","21","-45","-30","42","10","-14","-43","27","-10","-32","-48","95","-70","-44","66","96","9","-75","35","16","-5","-4","-20","-6","-9","-78","50","-14","-21","5","-86","114","-26","-86","-30","-30","-54","71","0","54","-62","5","-23","-20","15","-41","-86","90","41","37","46","60","-26","-25","-39","-120","110","87","3","-88","50","-54","0","-9","-7","-45","30","24","-10","-45","-56","210","-56","21","10","26","-42","52","-13","-93","-30","38","4","-25","-39","76","44","-12","-36","-30","-12","12","-15","-25","18","-120","66","21","-15","4","-33","85","36","-21","-2","67","62","170","34","10","-10","9","25","-24","16","15","-35","-76","16","165","44","-15","-5","-98"],"lmfdb":"agrees"},{"label":"799.2.a.d","letter":"d","dim":8,"charpoly":["890716588271","134292769928","3896635431","-309469901","-21040182","-317748","4438","151","1"],"traces":["8","1","-7","7","-10","2","-9","0","-1","2","-2","-11","-3","-9","14","-7","8","-5","-8","-20","4","-20","-9","-4","14","-20","2","-21","-2","-27","-7","21","-23","1","7","-17","-13","-7","9","-16","-39","11","35","-17","-13","19","8","9","1","-30","-7","-17","-6","-4","22","-48","5","3","-19","32","-15","15","17","-8","-29","-5","15","7","-12","35","-7","1","-22","-43","-29","52","2","43","-43","6","-16","19","-3","34","-10","-19","1","5","-53","42","5","28","44","1","-53","-41","-40","30","45","47","-14","2","16","7","-23","17","0","52","16","29","-1","-15","-5","32","4","31","17","-20","-9","38","10","-28","38","-34","-51","26","8","1","-14","20","-12","40","30","32","-2","0","-19","-16","-11","9","-7","-27","5","14","20","-39","-40","48","27","100","7","14","-1","83","15","13","35","7","-35","1","-47","14","0","-30","33","-13","18","94","-29","2","-21","5","-27","-1","-1","-11","47","56","4","8","-11","73","-17","58","5","25","-2","7","-27","5","57","-30","-28","-17","32","82","-6","58","45","4","-4","23","44","-11","46","-4","-14","-27","-73","-29","35","0","36","119","-21","30","-33","-34","30","77","-3","25","6","-16","-1","-37","22","-54","-39","22","0","-62","-39","-18","-10","-100","1","-9","21","-13","-50","32","29","-59","-26","-48","15","-8","-45","103","-79","21","-14","-25","14","-5","-21","10","22","31","-52","56","6","20","-102","-101","146","-78","-25","44","71","-7","13","-137","-47","-29","23","8","-58","122","-68","2","-12","19","34","-23","76","10","8","84","101","-101","-48","-69","57","17","-13","142","-39","-43","-98","-18","52","14","-48","-5","-68","-7","-3","-98","-5","-28","35","77","47","-107","-43","30","-79","37","-28","-101","-8","-11","66","-9","51","-15","-9","4","0","29","-21","-35","-48","14","-5","38","25","-20","-50","-22","-33","58","42","-75","9","-51","23","-20","-54","59","-158","51","42","-131","4","-30","18","-20","56","-91","-8","102","-26","61","-29","28","14","12","-21","79","42","-20","81","0","-95","-110","-15","-149","-110","-69","48","37","33","94","4","-54","49","-88","-9","159","-33","12","73","-22","-47","92","-16","-101","-107","2","63","-28","95","-133","25","-4","-101","-103","-29","48","37","-78","42","-58","13","19","90","-18","52","-56","-1","88","14","-41","37","42","-47","-48","-84","14","39","128","-23","29","11","89","62","-53","22","-20","-44","-30","104","-147","-19","-24","-193","-101","-4","22","-14","20","39","-17","138","114","2","-44","-103","-128","-36","3","-86","92","-46","21","80","2","-56","-87","68","-28","137","-21","96","4","-17","72","0","-104","136","-23","195","-23","-27","8","-20","-60","96","72","-2","70","-108","-111","-85","16","-22","-58","30","16","47","-45","-20","-22","-7","19","-62","-27","32","-81","56","-3","32","-36","-2","-8","40","36","-126","-8","12","-37","59","91","-7","55","9","36","-16","12","-3","-47","-30","-96","0","-1","35","-97","-37","-16","-4","21","-21","-121","-56","36","106","-70","91","-117","0","21","33","92","31","-83","52","64","-23","-144","-62","-11","-19","-82","11","125","-2","-69","-40","32","-76","18","39","52","111","1","-14","-130","121","-29","17","-12","-17","12","16","-106","-58","188","-74","-4","-77","9","7","-42","-102","-119","21","-61","-98","84","81","99","-70","-1","-3","-14","-81","87","-3","-17","24","-82","-133","-13","-92","-114","26","135","113","154","75","80","32","109","132","51","-13","-92","45","34","41","31","-161","10","-58","108","-22","-11","-7","-100","53","-124","65","-7","35","-53","-44","-9","83","-69","45","85","136","67","69","-9","-33","-62","-26","-48","9","-160","-69","85","63","98","-43","9","82","-24","-25","40","58","-39","-11","32","-4","-16","24","-200","10","18","54","-155","62","-19","96","38","-29","-4","17","-6","-28","102","-39","118","97","110","4","-81","138","72","14","-91","-45","34","18","-40","97","-82","22","11","-24","-47","-8","80","47","57","-67","-79","97","-32","35","27","89","78","-25","201","35","88","137","206","102","-27","-24","69","79","-40","-3","-25","63","-72","78","34","-26","-17","-79","-196","42","-7","93","0","19","-99","118","-10","111","142","-81","62","14","39","-13","31","24","144","83","-128","-8","56","-50","26","34","-65","-22","-112","86","-56","39","19","128","156","-123","-136","81","-4","23","134","78","-51","129","74","142","-29","-49","183","8","-17","-75","47","4","79","109","67","35","71","50","-148","-89","75","46","52","100","9","-151","-185","-111","74","11","152","-6","121","8","97","-15","50","18","180","62","-27","1","40","55","-116","-77","-62","-84","-217","78","23","66","-3","51","-5","59","27","101","-30","-11","-139","-9","167","135","90","-107","40","5","71","-102","-53","-83","78","4","120","-7","91","108","-38","50","-76","-156","15","-27","23","91","-37","-78","-39","71","-18","68","-17","-44","-11","51","10","65","-92","-2","32","-8","-142","-138","103","-50","-6","-111","22","-6","110","96","-44","-35","-71","115","109","-12","-162","-197","-110","-21","-66","92","97","2","-4","-11","-171","29","34","1","0","51","-124","25","61","-52","20","52","13","63","72","22","64","-70","79","29","-20","-110","-96","-43","-35","-21","-166","8","92","140","-85","-32","-48","172","-133","-96","48","207","61","10","-14","95","80","-3","-89","29","118","-66","-68","5","-187","77","-46","-136","-246","-152","-45","-46","-100","-183","-123","-126","57","-7","81","-3","3","4","-28","-87","7","-133","-202","-125","-83","-34","40","9","-80","80","120"],"lmfdb":"agrees"},{"label":"799.2.a.e","letter":"e","dim":12,"charpoly":["-19979807770049","285273914102020","44415857678457","-8353576311653","-1507416977731","-11349241052","5618616209","151199376","-6179857","-247804","806","109","1"],"traces":["12","-4","-1","8","-11","-1","1","-12","-3","-2","-6","-4","-13","-15","-15","4","-12","-9","-9","-23","-6","11","-2","-6","1","-9","2","23","-14","25","-18","-28","-17","4","-15","-13","8","-13","-9","21","-43","-21","-7","4","-1","-24","-12","-2","-19","8","1","-14","5","-1","-7","-26","2","27","-25","-13","-1","5","-13","34","-8","2","-2","-8","-27","31","-5","27","6","21","14","-41","-22","40","-10","-24","-4","9","-45","24","11","-48","7","25","-65","32","7","-8","-15","4","44","12","-21","41","-41","50","-27","1","7","9","3","15","-24","43","-5","-47","-16","49","-11","2","36","-31","-13","56","-1","11","8","28","4","37","15","-4","-4","-32","20","54","-44","35","0","18","13","12","-45","89","46","-35","1","42","15","-18","-8","48","48","11","-24","-28","-50","29","3","-3","18","-36","-29","58","66","90","-51","1","28","8","66","58","-31","8","5","2","43","88","-13","29","11","54","-5","40","-44","42","15","27","63","-53","-62","47","6","-8","35","76","-31","96","55","21","39","-57","-5","58","-11","57","-119","-8","-38","4","62","75","72","-4","-76","65","26","29","18","2","12","48","-17","26","-70","-80","13","-43","7","-38","-25","4","42","27","6","5","10","76","-29","44","11","-74","64","15","8","55","-7","4","-5","37","-9","26","-8","21","-27","-132","32","-17","29","-2","15","0","-86","3","44","76","38","9","76","-98","-5","5","-24","43","-79","-56","-35","-4","-9","35","46","53","28","-26","2","46","-142","1","94","-30","-17","-32","-62","26","12","-118","18","-64","-16","6","23","-70","-79","-53","30","-6","14","3","-1","-36","-70","9","43","61","-22","-31","-7","114","-5","-22","43","-71","-7","-74","27","-82","-22","-63","9","-86","-75","34","-2","-25","-1","-42","41","-150","71","51","7","50","10","-76","35","23","-65","22","53","-184","-32","-34","28","-27","-60","-18","-8","-152","-1","-9","-71","-91","6","-69","-5","-58","-65","56","114","-88","-15","-59","-6","73","-92","65","-79","-186","-28","-11","25","12","-37","66","-24","131","-16","-74","-55","-124","11","-101","56","7","-75","-172","2","-117","-27","1","27","-56","79","-12","18","-93","-35","70","54","16","-38","59","-34","6","-22","95","7","-18","-1","54","87","37","-66","-71","-66","-42","3","-75","3","13","-1","-136","81","47","103","134","45","-149","-90","42","51","-80","5","28","-32","32","-88","9","-36","67","104","28","70","76","-50","-31","78","-115","129","-78","41","-2","-30","19","-2","75","-8","-6","7","-47","67","-182","45","83","-10","2","10","87","-80","-61","-82","-23","-38","116","-34","-9","-57","49","-36","-71","-120","-79","36","-74","6","8","35","-90","14","66","118","-87","-43","113","18","19","1","-245","103","87","-4","-61","-1","-44","-110","-25","52","31","-41","-11","42","23","6","-2","114","-55","-69","-72","82","-134","5","-156","18","90","36","-79","-36","-38","119","41","97","107","0","147","-35","26","62","-67","44","28","-18","63","82","-8","-112","174","-33","-106","-92","30","94","-17","20","-35","-40","-142","17","9","91","4","72","20","77","57","-46","2","96","-151","24","-24","-79","-26","-151","-4","-59","0","-59","-97","84","96","43","-55","-76","71","33","-94","141","146","-63","186","15","-64","38","140","-11","-58","74","-130","117","-115","-50","-22","-47","131","-49","-47","13","13","90","14","129","-35","25","73","-39","33","-152","61","-19","-159","-14","-258","-51","32","-8","-6","-89","143","-14","-12","172","-31","44","122","144","125","-11","-63","-125","56","-66","13","16","167","56","49","-19","-96","7","-51","25","53","-43","15","40","27","-61","48","9","122","-13","-101","5","41","106","-188","-42","-118","85","-39","101","127","75","-25","-38","-21","4","162","150","10","58","149","19","194","-185","-147","63","93","49","87","-11","-2","43","-40","143","16","29","-82","33","-66","15","-89","143","-38","83","136","89","2","-108","21","97","188","1","5","-65","79","3","185","12","59","87","-177","-33","70","27","-155","7","68","35","-69","21","-21","37","181","74","-140","-30","-29","155","241","4","202","-22","-4","71","75","92","-4","104","-68","51","-121","-149","73","106","-87","-151","-31","-26","58","1","11","42","27","-60","50","131","2","106","28","33","150","30","-100","66","107","21","24","-18","83","30","171","140","230","73","-111","-32","-147","35","-185","-17","-201","9","39","12","-30","17","136","94","-64","145","-283","113","40","13","28","49","-63","-14","-6","11","2","28","149","-17","20","-48","-30","66","-2","-47","179","-26","-80","43","-106","-131","-19","19","-74","-24","-23","184","91","114","9","-154","-39","40","137","11","9","17","59","-39","-8","-33","224","136","-77","-65","-128","17","-31","-121","-96","4","-250","-9","95","119","-15","-1","-99","-111","10","21","81","98","106","117","74","-48","42","-96","-25","-119","50","33","14","110","-23","71","-63","-83","84","84","-180","9","-127","49","-199","49","110","65","-70","-5","-160","32","104","-88","-86","7","-155","-22","-16","-1","18","53","89","-170","-157","64","1","92","245","-32","-219","-35","8","-102","123","-189","129","-190","-51","-41","21","27","53","7","-138","20","59","-29","23","61","-7","-61","-51","-27","-13","-48","-46","-54","-276","54","26","-82","-53","31","-5","-111","89","146","-231","-2","-110","-115","-101","-19","-52","-86","202","-2","72","-159","0","112","133","135","-143","-131","19","-1","56","144","-124","-83","55","-183","-27","6","101","128","-93","199","161","158","-131","-6","-3","-5","121","-101","-150"],"lmfdb":"agrees"},{"label":"799.2.a.f","letter":"f","dim":17,"charpoly":["17733328387528411007449913","1860397705981978243248869","-616516351134528977510381","11022219367597009713506","3450591291917968727165","-156513792034819904472","-5102096086265869552","410004844558822969","-421675032020617","-419448589691954","5816514427435","186288292084","-4453271133","-26531600","1326062","-3803","-140","1"],"traces":["17","3","1","19","11","5","1","3","30","12","8","12","1","11","-7","15","17","-26","-1","13","14","3","12","-24","0","33","22","1","10","1","2","-1","3","3","9","50","10","23","13","1","65","-41","-3","10","31","0","-17","-16","14","5","1","-32","-13","-15","-11","46","36","-1","39","43","23","33","-15","-27","-10","-86","-14","19","45","-13","21","-42","24","25","-32","-5","-2","36","-26","-14","41","-37","-5","-60","11","-24","-5","-25","61","6","29","-12","-3","-3","-6","12","3","36","-27","-77","47","5","-25","79","23","-19","24","85","29","-15","-16","-19","35","-120","8","11","-67","-92","1","-89","29","-38","-32","9","51","-90","-20","-69","38","42","-52","-1","14","-34","1","3","49","5","-2","5","-1","-44","-27","-19","-76","40","-92","-75","34","-42","-30","-31","30","29","30","-20","-59","18","4","-110","-3","-116","22","70","-128","-26","-1","-176","8","12","-69","-48","59","-87","-23","44","29","-114","-44","54","-11","-131","-81","1","46","-89","8","-19","3","-20","-15","-72","97","-69","-41","-18","65","-38","-9","-14","37","-30","58","12","18","59","-16","-126","48","-9","32","-93","-66","34","20","-154","-17","-116","-86","-72","1","29","27","98","-38","64","120","-95","20","-31","104","36","-13","190","-11","-2","-56","11","24","55","53","39","17","-17","145","-38","-96","37","99","-22","28","-47","-63","-94","-7","11","132","-51","-140","20","126","-7","-8","-2","7","137","10","-65","-49","-124","1","15","-97","105","52","21","-34","146","66","-46","92","-5","-4","-82","47","-36","6","-107","17","110","58","170","-30","86","45","46","97","-47","86","164","-40","99","-91","44","-66","-26","3","77","-26","-59","41","152","67","68","-205","-35","57","2","-49","-56","-22","-75","-1","45","31","-32","-26","121","-1","-78","-67","-38","-49","37","-85","146","76","-123","27","13","47","166","-49","64","68","4","-34","-147","-46","-90","-4","30","21","-89","53","143","14","-1","39","-48","72","-24","120","-150","45","53","-18","19","130","61","-59","214","-138","3","-107","-3","83","-2","-32","121","148","-6","-7","84","83","9","0","51","63","220","12","74","-67","27","-33","72","-29","-90","34","-80","151","150","-140","42","-6","-29","62","-24","28","55","27","-34","-7","108","-93","27","-162","141","42","-156","17","107","-30","-193","0","100","13","7","-157","8","83","187","64","-86","-3","214","49","200","-42","-56","-3","33","-40","167","116","136","-228","94","90","-30","-142","145","27","-58","89","-188","12","-15","22","-9","70","100","-37","-103","75","-62","17","-223","-30","-12","-170","51","66","31","-122","1","-88","184","60","-25","191","53","32","-32","-40","21","-48","2","62","50","-37","118","10","-102","6","115","-47","-87","-6","-95","57","71","1","-13","98","87","-79","44","48","1","20","138","203","-113","-80","323","-8","-290","-146","125","247","-48","-94","-92","125","20","2","-154","-59","189","124","194","23","-171","21","-89","54","59","-65","250","-112","-35","-128","-1","46","199","64","134","-44","-154","19","54","-240","144","-176","-153","-66","-201","-4","-38","3","119","-33","-12","-64","88","49","-139","60","-250","-22","51","-38","116","-119","-127","-33","3","105","204","47","135","-34","152","-147","115","-28","-155","13","-62","17","-174","15","-246","9","26","-10","106","17","-22","-32","-94","-119","-231","-104","232","131","23","-135","169","-1","50","-128","210","-97","105","-33","201","-5","25","44","-63","-61","95","-33","4","-143","-258","10","-162","-77","17","-2","210","28","-191","-118","-122","50","61","35","253","-63","-272","-170","23","68","-86","72","-49","-31","220","-69","-19","-211","97","13","-11","-32","-209","89","-148","13","-82","99","411","-135","71","76","-6","154","-62","1","59","-59","60","-71","7","-134","1","-28","110","-12","98","-108","73","-55","-310","75","-49","-103","107","-43","109","-215","-114","65","-258","-29","126","191","132","-109","22","7","45","-181","284","-115","-4","-345","-84","40","-41","-23","-40","-13","-19","-113","291","-87","-60","-212","-121","-103","137","-65","-140","-12","29","-3","-408","-151","121","-179","113","175","-351","-30","-32","-122","129","-131","-263","-190","-152","66","10","-17","183","126","-15","-130","-82","89","-45","-143","-257","-184","-57","275","129","-186","-26","31","-149","-14","11","-110","38","-79","106","48","-120","31","-244","-60","166","-218","-325","-235","0","78","222","-92","91","76","-88","59","-15","-128","-201","1","131","-93","111","-57","-85","-17","-113","19","64","-122","-180","-45","151","-11","26","115","-206","89","101","-154","-138","107","-16","-24","-81","45","-72","-42","282","-176","-22","-115","-147","-116","-14","-59","-62","-27","-21","14","82","28","-73","-80","1","164","-127","65","99","-46","19","179","26","-129","-239","117","5","119","164","2","135","89","80","103","-175","31","-80","108","210","-57","-143","3","55","1","233","21","40","37","-147","156","-338","-83","-194","108","-62","-264","35","119","237","-211","-32","-154","93","-13","249","69","4","-148","144","1","147","-111","-41","-79","10","-151","-73","-13","-188","116","208","40","340","17","29","172","-180","-99","-36","61","-13","-178","293","-156","-15","-32","-71","-116","-13","-179","322","226","-301","-133","11","244","-237","39","103","23","-215","-11","248","-46","29","3","-13","121","-169","55","-103","119","77","-124","166","32","-40","-90","46","56","329","-107","91","17","27","46","-7","-89","-80","123","-71","185","30","-50","105","36","-108","109","314","-144","-157","-67","-119","-49","59","115","-122","244","220","27","-41","13","-1","-14","-215","-142","-5","43","143","-24","33","26","249","25","-145","51","54"],"lmfdb":"agrees"},{"label":"799.2.a.g","letter":"g","dim":20,"charpoly":["-8395243417324645960907831403","12589682422287260129246873108","-3314848479908423738976562643","163847564754158241267420763","36606586740145421618785723","-4204366297860108705480446","-21804468886010623471035","19368722563226758295436","-507937072213646181294","-31343730664727996104","1502021849942256205","10703030337182072","-1534665254050088","15206243901214","541699343743","-10845599284","-42653475","2267100","-8278","-147","1"],"traces":["20","4","3","24","13","11","-3","12","37","-2","10","8","1","13","1","28","-20","15","5","37","6","-19","4","30","41","-9","6","-25","26","-25","6","28","29","-4","21","-5","-8","-21","-19","-25","69","3","-7","16","39","-24","20","26","53","16","-3","18","29","23","5","-22","-36","-1","55","-103","-17","-7","-9","58","40","50","-6","-24","17","-15","47","7","-32","-67","-22","-5","4","-60","-26","108","68","25","3","24","-13","8","-41","-47","119","-54","-35","0","-15","4","-48","-84","-13","1","-5","130","21","-11","15","-29","-17","-5","-26","-93","-29","-23","28","-111","21","34","0","51","57","24","3","-125","28","24","-8","-27","75","8","-38","32","40","-122","48","-65","-26","48","-81","-12","3","-143","2","-135","3","-78","23","-42","52","44","4","-29","8","-56","-28","-7","-37","-125","-54","-136","3","-118","-102","-2","105","-55","-74","86","114","-90","7","-8","73","2","41","-102","31","13","-69","-104","-61","48","36","-144","-3","59","-5","-159","136","-67","-10","24","-49","-136","1","-100","-83","45","-137","-41","-37","-196","17","-75","35","-48","-36","-8","10","31","-44","32","136","-173","-20","93","82","-60","-16","204","-19","46","-18","8","-1","29","-39","-18","75","-110","0","13","8","-27","-120","-126","23","-184","13","218","88","-13","-20","-157","25","52","-29","-15","-43","146","68","-89","-55","48","24","103","-3","102","-1","120","58","-3","84","120","-54","117","8","56","71","-43","44","-111","109","46","9","-28","-13","-41","-80","85","-36","-44","-28","-8","118","11","14","210","-141","16","0","222","20","-102","-78","86","4","-18","-51","-134","-21","-1","-38","2","90","7","19","-114","32","-15","-37","-97","-74","189","107","-12","-41","74","203","-59","19","54","-13","256","56","181","-5","-62","-113","96","94","-61","-3","290","81","26","-33","-23","143","-98","-114","-16","-111","-37","59","-206","-63","36","32","26","-32","145","100","-22","-64","-54","135","67","53","205","-6","-127","-53","-178","59","94","-186","10","-43","257","-48","-115","206","-77","81","24","36","19","-3","12","103","18","-36","-157","-114","242","89","-240","-169","-27","20","-77","-11","-4","-4","23","-35","-123","89","-24","39","44","-182","471","193","-84","-10","56","156","151","-62","-30","124","-153","129","66","23","42","-5","171","134","33","10","136","-67","5","37","41","-41","184","-7","41","71","-22","-79","271","-42","158","-149","-72","-7","-248","-4","36","232","9","-140","-53","-36","-182","102","-116","140","289","106","-41","7","162","-7","488","26","-67","-6","119","66","-18","-17","39","-113","-6","-25","51","-22","-2","18","75","56","179","-106","25","146","-104","-170","-347","61","-111","-232","-55","-10","-47","-20","94","134","72","27","128","-26","14","-110","-233","61","173","-102","285","-95","67","-3","-125","-126","-25","99","-4","178","25","-138","-121","-261","9","68","-171","10","86","226","25","111","182","30","26","-159","160","-6","142","32","-43","0","-96","-137","249","-31","129","32","-49","-9","-210","126","113","-54","-28","142","-225","-48","-166","-96","-22","67","30","44","22","76","161","-86","131","-80","-170","-29","195","-63","8","96","132","-291","61","-52","214","-88","-187","-228","-6","75","-50","35","4","-167","20","49","171","-102","52","7","53","78","99","-131","-122","-39","18","135","74","-21","112","-12","-60","-5","-70","-62","108","-33","169","36","-178","-105","-139","153","-81","1","5","-46","-170","-219","105","97","-419","-95","-15","80","151","-131","-21","82","-96","-19","144","8","324","-7","-241","-138","-230","-36","-95","-98","122","-112","-125","63","179","-149","178","34","21","-28","-349","-94","-35","-75","234","11","-109","-115","287","-129","13","-148","219","-109","128","19","-94","119","31","-103","-163","-192","472","-94","10","-157","-79","-67","-21","209","-117","-22","25","72","-38","-26","140","-70","49","-243","-8","171","-107","117","173","-343","-197","-7","132","-69","104","-179","-536","-229","168","-169","-256","1","311","87","14","-25","-290","85","218","120","-3","-269","40","-119","-111","-29","-421","75","141","-56","157","43","135","-113","-170","283","81","7","268","47","-79","-87","-395","-163","327","-170","10","-30","203","23","-141","18","210","-82","-16","175","-131","-14","28","-12","-4","-305","335","-49","-67","26","-187","117","51","-204","114","-39","-213","-130","-201","96","-274","-199","82","-126","-232","-311","10","-106","40","130","-97","135","24","-410","-357","168","67","-82","-286","-111","-289","36","183","-269","-109","-259","379","-39","-415","-20","94","361","-196","14","-176","9","45","-91","-104","31","-156","-131","-293","-42","-138","-101","-26","112","-233","-469","224","32","-48","-10","150","285","107","-30","-392","-71","-220","-83","451","-53","106","-116","193","-6","77","-52","437","-114","-189","-160","-55","-107","15","57","11","-143","-16","-5","188","56","-277","-93","-40","33","49","-79","-92","-258","150","-13","-5","33","29","3","203","21","62","-203","7","122","266","-105","122","-94","-234","100","-17","237","246","185","-18","-142","21","19","-247","-181","60","-24","-100","5","197","121","-103","153","72","149","-258","-29","-92","70","-224","100","-56","39","19","-182","348","-9","562","-23","-211","192","3","128","-23","-166","-259","104","9","115","-220","-110","241","23","-155","230","101","137","129","-23","175","-5","60","60","115","133","37","-31","189","-17","533","-169","51","-24","-102","2","-48","258","22","-2","-233","-139","-77","169","-55","-74","-319","190","30","91","39","-15","110","38","62","36","188","-97","-196","2","-199","-269","205","-3","97","97","-156","-18","-160","89","395","111","1","6","-15","96","-257","55","-109","166","269","142","73","-195","-133","83","-410"],"lmfdb":"agrees"}],"seconds":0.41,"computed":"atlas","estimate":{"seconds":0.569,"low":0.347,"high":0.985,"bytes":2359299}}