{"label":"597.2.a","level":597,"weight":2,"dims":{"new":33,"cusp":65,"eisenstein":3,"modsym":133},"old":[[199,16,2]],"T":[[2,1],[5,3]],"status":"proven","checks":["dim M^+ at levels [1, 3, 199, 597]: [0, 1, 17, 68] (certified at ell = 2147483647)","T = [(2, 1), (5, 3)]; h of degree 33 = 1 x 33 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"597.2.a.a","letter":"a","dim":2,"charpoly":["-1","-2","1"],"traces":["2","2","-2","2","0","-2","0","6","2","0","0","-2","2","0","0","6","2","2","2","0","0","8","6","-6","-10","10","-2","0","8","0","8","-6","0","6","0","2","0","2","-2","0","-6","0","4","16","0","-6","22","-6","-14","-10","-2","18","-8","-2","0","0","-2","-8","12","0","-2","0","0","-14","0","-8","-14","10","-6","0","0","6","-8","-24","10","2","0","-10","-12","0","2","-10","12","0","0","-4","-8","8","0","0","0","-18","-8","18","0","6","8","-14","0","-10","24","-6","12","14","0","-16","0","-2","4","0","0","0","-16","-2","0","-24","2","4","0","0","-6","-18","6","-8","0","0","14","-10","-4","0","-2","-16","0","10","0","10","0","6","-16","0","-22","-16","16","6","0","8","14","-48","22","10","-12","6","2","0","0","-18","-38","12","8","0","0","2","26","-14","0","-20","-16","0","-8","0","2","-12","0","8","0","0","-12","24","40","0","-4","0","2","6","0","0","8","14","0","0","-12","14","22","16","0","-14","30","8","2","-30","14","16","0","-10","0","12","6","6","0","0","8","-24","0","8","0","-6","0","-4","8","0","10","24","42","0","-10","-8","14","-2","-20","0","0","8","26","10","0","-4","12","0","-6","0","-16","-6","-2","-34","0","10","2","16","-12","0","26","0","-24","-18","0","-26","20","4","0","0","8","-30","-26","-8","0","0","0","34","-12","0","-32","6","0","8","0","18","4","-8","8","0","16","-18","26","-32","0","24","0","-6","-28","0","-8","24","0","14","0","-24","0","42","-18","10","0","-36","-24","6","0","6","24","0","-12","0","12","-14","22","-38","0","36","-26","16","-32","0","0","0","2","2","-10","2","-4","-22","0","0","28","-52","0","24","0","0","-28","8","16","0","-16","2","0","4","0","8","16","24","-16","0","-2","8","24","-4","0","48","0","56","12","0","-36","-52","6","0","0","18","42","18","-6","0","0","8","56","16","0","62","-24","0","40","0","-14","4","12","10","0","-2","4","24","-6","0","-6","-42","2","42","0","16","24","2","0","-30","-38","-10","-8","8","0","0","-48","-10","-12","0","0","12","0","-6","0","2","16","8","32","0","-22","24","22","-32","-10","16","0","16","-16","0","6","-6","-2","0","0","-12","6","-8","-18","0","-14","22","12","48","0","42","-22","0","-36","-10","-8","0","12","42","0","-6","-48","28","-2","0","-48","0","0","24","0","22","-28","18","0","0","38","28","-16","-12","-10","0","-8","62","-60","0","-48","-40","0","-6","0","-2","16","-22","-26","0","-12","14","-8","10","0","24","0","20","-40","0","16","46","40","0","0","0","8","-50","36","0","0","-54","-2","28","0","12","-8","0","0","0","-28","-8","20","-58","0","-30","0","0","8","0","12","0","-14","-24","0","-18","-40","-20","0","0","48","-56","4","-2","0","0","-6","16","-2","-40","8","-6","0","-52","0","0","30","0","-12","0","-8","-40","-60","-14","0","18","0","-16","2","0","-58","32","12","0","-30","-14","20","-20","-22","0","0","-16","-16","-8","0","56","36","14","8","0","-30","0","54","-8","0","62","-2","-6","-42","30","-12","0","-14","-60","0","-16","-12","-6","0","0","14","10","-68","24","0","0","0","-12","-6","0","-6","-20","0","-6","50","-2","0","-38","-24","0","-32","-12","-8","-70","0","24","-14","0","0","0","0","-8","4","0","0","6","6","6","-16","-50","0","-22","-12","4","0","-18","-8","0","-10","0","4","68","-10","4","0","-24","72","64","-42","0","-32","0","-8","-36","10","24","-24","8","0","0","-14","16","-66","2","0","0","20","12","-24","0","40","16","0","-16","0","-8","-10","-40","-26","0","24","-10","0","-16","0","-16","0","4","38","0","-12","24","48","0","0","72","6","60","20","0","0","-36","16","-100","-40","6","16","0","2","0","-4","34","-40","18","0","-30","48","-10","82","0","-2","0","24","-16","0","64","12","24","0","0","-26","66","-26","-8","0","0","42","24","24","0","48","18","0","20","0","-36","-4","26","-34","0","-20","-26","38","-4","-40","32","0","62","-6","0","-32","-6","-8","-42","0","30","32","54","26","0","0","8","-34","48","0","2","36","0","18","30","0","-42","32","-34","0","16","12","64","-48","0","-6","0","32","-48","0","-6","4","12","0","0","32","-8","0","36","0","0","6","-18","-2","0","-4","-30","-14","8","0","16","-8","48","38","0","38","-6","-16","40","0","18","0","-24","-26","-30","72","32","-4","0","0","8","0","-24","8","0","0","-6","-36","6","0","94","28","0","48","0","34","4","8","-6","0","-24","18","-90","0","0","22","-14","58","34","0","12","-6","24","0","0","0","42","22","-42","0","0","18","-36","64","-10","-16","-32","0","-40","0","36","-8","70","24","0","-28","-6","-64","-24","0","76","0","-6","-60","0","-24","-96","-32","0","0","48","12","-40","66","0","-14","18","-12","-12","0","14","-20","0","-22","0","-48","38","-6","36","0","0","-42","-36","24","-10","26","0","48","-16","0","130","32","-44","0","0","-14","-72","0","-64","0","0","0","-18","-2","0","-38","-2","0","24","10","-6","-30","-2","48","0","4","4","-28","22","0","-8","0","18","36","0","14","-32","-28","0","0","52","12","-24","0","0"],"lmfdb":"agrees"},{"label":"597.2.a.b","letter":"b","dim":3,"charpoly":["-13","-1","5","1"],"traces":["3","-2","3","0","-1","-2","-5","-3","3","-4","-4","0","-11","8","-1","2","-7","-2","-11","7","-5","-2","2","-3","-10","5","3","-7","0","-4","-1","7","-4","7","-3","0","-3","12","-11","1","3","8","-14","7","-1","8","-9","2","-8","9","-7","-7","6","-2","6","5","-11","0","7","7","-4","-11","-5","-11","6","-2","-10","0","2","9","9","-3","3","16","-10","-7","2","5","-5","-3","3","-16","-11","-7","0","7","0","4","19","-4","16","0","-1","-8","-1","7","1","-11","-4","0","12","7","-8","32","-3","10","-20","0","3","3","-3","-1","9","12","-10","-7","-11","21","14","1","-23","-16","3","35","6","8","-10","19","-14","24","-10","7","23","30","-1","0","30","8","-16","-14","-9","15","17","2","0","-2","-8","-7","15","9","21","11","-7","1","12","-7","15","29","6","0","6","-2","12","14","6","12","-5","5","34","7","-11","0","7","0","19","-5","7","-8","-20","7","-11","-34","-4","-30","-13","-11","7","14","-5","17","30","-11","-26","-24","6","28","-13","-2","3","3","-10","-1","0","0","13","-32","2","2","10","9","-25","-42","9","39","7","-3","-10","-23","3","-7","14","16","4","-14","-10","-27","-23","-7","17","-12","2","14","7","5","17","-42","-5","-21","27","-3","-30","27","3","21","19","-16","38","-34","-11","31","-39","-7","-12","51","0","-28","13","7","19","-35","0","-33","-19","4","-16","-41","19","-35","-5","-4","5","-7","16","-13","11","0","-10","13","-1","10","-5","-8","-60","-21","-1","19","-19","7","-30","7","1","14","-11","-11","-28","-25","-4","-45","-54","0","21","-63","12","-5","20","7","-22","-7","-8","-22","-17","32","16","-31","-3","-49","13","10","0","-22","-20","-4","28","0","25","-36","3","11","1","3","-49","-42","-3","43","-20","-1","-6","10","9","-14","13","12","32","21","-10","-21","-55","-7","24","-29","-11","-7","6","21","-24","14","14","53","23","1","-12","-16","-23","49","-1","-16","-12","-8","3","-3","4","35","16","0","6","23","21","8","55","-28","-10","-48","-53","19","-3","-6","-14","21","14","24","14","1","-10","-38","-24","7","21","-2","23","-9","0","30","-43","14","-1","-7","-10","0","-16","-4","30","77","14","8","-1","-77","-16","5","77","-14","39","-9","-9","36","28","15","-12","-28","17","21","-33","2","38","44","0","7","2","-2","30","-13","-8","-21","-54","-7","-11","37","15","44","14","9","10","21","21","-15","18","11","3","5","-7","14","34","1","-18","7","12","28","-75","-7","40","12","15","0","21","29","39","14","6","-18","-11","0","-38","-1","6","-14","23","-2","52","18","12","-1","58","14","-7","-44","6","-24","6","12","-16","-56","-5","40","-35","5","-11","-20","34","-70","56","7","-5","-24","-11","-39","40","0","26","-29","7","-20","-14","0","-32","91","19","-20","14","-5","7","20","7","42","17","-8","-19","10","-20","-20","27","7","-11","48","-11","0","20","-34","-7","-21","-4","2","0","-30","34","23","-13","-49","53","-11","63","5","7","-62","-38","14","18","12","-5","-30","48","17","4","-28","30","36","12","-11","-11","13","-26","-7","23","-24","-22","-31","6","82","-44","28","-8","7","-13","-9","37","-2","7","42","3","-34","-49","3","9","-35","-10","56","-4","-1","-29","-28","0","3","61","0","60","-67","13","5","59","-32","-65","21","2","-19","-27","2","13","22","10","70","28","9","83","26","-25","-53","-41","-42","27","7","9","31","22","39","-25","-14","7","-35","-79","-3","-35","-26","-10","7","8","-23","43","2","3","4","-6","-7","33","28","14","81","18","16","-28","-63","4","25","24","-14","-45","46","-10","7","28","-27","-25","7","-23","-11","-133","-7","-17","-33","17","-7","34","-12","-25","-14","2","74","3","14","-21","33","7","21","36","5","25","-11","17","-4","-13","-42","4","-12","-5","-61","46","-21","-36","-70","27","-48","-53","-3","-24","-27","-30","-7","-7","27","-38","-44","3","-18","28","21","-21","106","19","70","-10","-16","-3","0","38","-40","-39","-34","30","-34","-11","-14","59","31","-12","-6","-39","-7","42","-7","5","-25","-12","8","41","51","-26","42","0","-16","-28","-28","-45","2","13","49","-66","7","15","27","19","28","-25","-35","-33","-14","0","-17","16","-33","8","84","-19","30","-36","4","45","42","-16","0","-14","-41","7","-7","19","56","-4","-35","-2","80","-5","-61","43","-4","11","21","5","-19","24","-7","49","97","16","7","-23","-13","-78","-34","11","-49","50","0","-29","52","-10","38","14","13","-38","-21","-1","-77","34","10","-73","-54","-5","70","-44","-8","50","32","-60","-28","82","-21","22","29","-1","-1","-63","19","-19","-35","-19","-34","2","7","14","-16","-30","-91","-19","7","25","46","1","-20","25","14","0","-41","-11","4","31","-11","9","35","-28","-13","50","-25","61","-44","-4","-49","19","-45","-33","-69","-54","63","-35","0","-28","12","21","12","27","-63","24","49","12","-47","3","-5","10","-72","20","14","-23","7","51","38","-22","66","-75","-7","31","-37","-8","-35","56","-22","13","-35","-17","64","-7","32","-141","-85","16","-21","-35","-31","-54","21","-3","14","-7","-49","-53","-47","13","-7","57","10","18","-7","0","33","-43","-22","24","-68","-20","-7","32","-4","-32","16","28","1","-5","0","29","-30","25","-5","-5","-36","-30","-7","3","-76","-7","11","51","0","1","63","-28","3","-3","91","-49","-18","-1","-42","-29","62","-3","1"],"lmfdb":"agrees"},{"label":"597.2.a.c","letter":"c","dim":3,"charpoly":["361","-57","-9","1"],"traces":["3","0","-3","0","3","0","3","-3","3","0","6","0","-3","0","-3","-6","9","0","9","9","-3","-6","6","3","6","-3","-3","9","-6","0","-9","9","-6","3","21","0","-3","12","3","-3","9","0","18","3","3","0","-3","6","0","9","-9","-3","6","0","6","-3","-9","0","3","-9","-12","-3","3","-3","-12","6","6","-6","-6","9","15","-3","3","0","-6","-15","6","3","-9","-33","3","-12","27","-9","0","15","6","0","9","0","-12","0","9","-24","-9","-9","-15","9","6","0","-30","-3","0","6","-21","-18","18","0","-33","-15","3","-33","15","-12","6","9","-3","9","0","3","-15","-18","-9","15","0","0","-30","-3","-18","-12","18","-3","-9","-36","-3","-12","6","0","12","0","3","3","-3","-6","12","0","0","9","3","-9","9","-21","9","-15","18","3","51","-3","-6","0","6","0","36","-12","-6","0","21","3","-30","3","9","-12","3","0","15","-15","-3","12","-6","9","-15","-12","12","-6","15","3","15","12","-3","21","42","3","-42","-12","12","0","-3","-6","3","-15","-6","-21","12","6","-27","-42","6","18","6","-9","-21","-18","-15","3","9","3","18","-27","-3","21","-6","0","0","0","6","57","39","15","21","0","-6","6","-21","-3","-3","0","9","3","-21","33","30","-27","-3","9","9","12","-6","12","-27","27","-9","9","12","15","0","36","-39","-15","15","-3","-6","15","9","0","-48","21","-9","9","21","0","33","-3","12","-33","3","0","30","-9","-9","-30","-39","24","12","-15","9","3","-27","9","-18","9","15","-18","21","-9","12","3","-6","3","-6","0","9","3","30","15","-12","3","18","21","0","6","33","-6","-24","27","21","-21","-9","18","-12","24","-18","0","42","0","-15","-30","33","3","-3","15","-9","0","-3","15","-12","33","-30","12","-15","30","-15","12","-12","-33","-6","-9","-3","-9","12","27","3","33","0","-9","-12","-24","0","69","-15","-3","12","60","15","-3","-33","18","36","-12","9","9","-48","-15","-48","-6","0","27","-3","0","-33","30","30","-24","3","3","33","-36","18","-3","36","12","18","-9","-18","30","-54","3","9","0","9","-21","24","36","-3","6","3","9","-6","12","-36","-48","-6","-15","12","0","27","3","-12","21","-33","0","-9","45","-3","12","18","-3","-12","-24","3","33","-33","6","18","6","-12","27","18","0","18","9","0","-9","12","-9","-27","-9","-3","24","-12","9","30","-33","-9","-39","-30","21","3","3","-9","18","24","15","-30","-15","-18","60","27","-3","-12","-60","-51","-12","21","3","27","30","6","-42","51","0","-6","-63","-6","18","-33","0","-48","30","-36","27","-36","12","-27","-18","6","-24","-12","0","-12","-36","-21","36","-15","-3","-39","-12","30","-30","-24","-3","-33","-18","-9","-15","-72","12","18","9","-3","24","12","0","36","-21","-15","0","-42","15","-57","-72","3","30","15","-12","-27","30","6","108","-9","-9","-51","-60","15","24","-6","12","33","39","-12","6","-36","6","-54","-21","-15","63","-3","-3","-21","-51","-15","-6","36","-12","6","54","3","-18","-12","-21","36","-6","-42","-48","12","-3","21","15","42","-27","27","12","30","-3","-12","-54","-54","0","-60","27","3","-21","9","6","63","-24","-3","-6","-69","15","-63","33","6","-24","-6","21","-21","6","-12","-45","15","-6","48","-27","27","9","-21","42","-57","-39","-6","45","-27","-18","-75","-6","-6","-18","-18","9","27","12","21","-21","-75","18","-9","3","15","51","54","-3","27","18","-9","33","-27","-3","-3","-24","-18","15","42","27","-9","30","3","-60","6","-21","-15","-42","6","-27","72","0","-12","51","0","-99","-6","0","27","78","-6","3","18","-57","-33","-3","-39","-3","27","-15","51","27","-21","-15","30","0","15","-36","6","-90","129","-6","39","63","21","9","12","3","-27","-21","3","0","-39","0","60","-6","-9","-21","-18","-3","-12","-30","21","60","15","-33","-72","33","-30","-3","-3","27","-6","24","3","-18","66","-9","63","36","-9","18","48","-12","-39","-18","6","-72","51","-12","-42","0","27","-6","-27","-27","-12","-6","9","-3","-36","-9","33","63","-12","-12","-27","-15","-6","30","0","84","-12","-36","27","-24","39","45","-12","15","-9","27","-15","-72","39","3","27","6","6","-9","42","-15","36","-6","-9","-30","6","0","21","24","48","0","-18","-21","-21","-9","9","48","6","-9","42","0","-21","51","-33","0","-9","-27","-33","-3","36","3","93","27","-12","51","33","33","-42","42","-3","27","72","0","3","0","-30","-18","0","9","138","-33","9","51","-60","30","-57","12","39","-18","-12","-24","-6","60","-12","24","-6","15","-18","-45","-9","-21","9","-3","-63","51","27","6","6","-9","-78","48","18","-39","-15","-9","21","60","-15","24","-45","18","0","111","-21","-60","27","9","21","-9","-12","87","12","-3","-75","12","6","27","-57","-3","3","51","6","-33","45","0","36","-30","-9","-72","39","-3","60","51","-30","-39","21","-15","54","54","12","-6","-9","-3","51","-6","-18","18","-3","-21","3","81","0","-27","60","-6","9","15","-33","-12","-3","6","-21","-99","24","3","123","-27","18","-15","-21","6","69","21","15","33","9","-3","-21","-18","78","3","12","-51","51","-24","-24","-6","18","9","12","0","-36","42","-42","-39","9","0","129","66","15","15","-3","30","6","-9","-33","0","-123","-3","15","-6","3","-9","36","-15","-3","-33","9","-6","3","0","75","-30","3","-27"],"lmfdb":"agrees"},{"label":"597.2.a.d","letter":"d","dim":11,"charpoly":["-233649995","-12798101","90936676","-6927012","-8113765","467312","303189","-2300","-4621","-148","20","1"],"traces":["11","-5","-11","11","-5","5","-5","-18","11","-2","-10","-11","-9","-12","5","15","-19","-5","-11","-15","5","0","-16","18","20","-15","-11","-7","-14","2","-5","-46","10","11","-39","11","-5","-14","9","-9","-19","12","-34","-13","-5","12","-33","-15","22","-27","19","-8","-22","5","-26","6","11","2","-27","15","-14","4","-5","46","-20","0","-16","-48","16","14","11","-18","-13","0","-20","17","-12","15","11","28","11","24","-53","7","30","53","14","2","-5","-2","12","29","5","52","-23","46","17","40","-10","65","-12","-11","-28","42","39","17","-40","-11","45","75","5","51","-15","14","-70","33","-9","-1","-2","9","81","89","19","23","0","-12","-24","-34","34","80","-46","13","-7","84","5","104","2","-12","-32","69","33","-21","-25","15","68","90","-22","63","17","27","1","35","-19","65","-32","8","-11","-11","22","-27","-4","-5","-12","-14","26","10","-11","-6","24","19","-11","-60","-67","-2","-5","13","27","-86","-38","-15","3","9","14","34","1","-4","-97","-72","5","89","-26","-46","24","-36","20","-121","41","0","-11","4","16","-19","-64","48","-11","13","-16","-50","0","-14","7","-20","-11","-53","-33","18","10","69","13","-117","12","0","-8","50","20","-23","-3","-17","37","100","12","-71","-39","-15","-27","-40","-11","25","-5","-28","62","-6","-11","-1","47","-24","-12","-38","53","-125","-21","-7","-6","-19","-30","21","-43","-53","-25","36","-14","23","-9","-2","20","1","5","-117","15","2","-63","-151","-12","67","-21","-29","16","53","-5","-120","-3","-52","-90","11","23","-65","53","-46","82","-54","-17","-56","7","-40","96","-107","10","-83","74","-65","21","75","12","-61","-44","11","-94","-61","28","42","19","-42","-6","13","-39","-13","-23","-17","22","156","40","-55","52","11","-81","-88","-45","3","47","-75","-45","34","-5","-65","52","-51","56","-5","15","-102","5","-14","-28","129","70","-7","-79","-33","36","71","9","51","-20","1","24","47","2","-49","87","-9","76","116","-81","-7","-5","-89","-12","-66","-19","-83","-94","-23","44","70","0","63","-13","12","-21","-124","24","14","91","34","69","-44","-34","-1","52","-80","-2","129","46","-68","52","-13","35","5","7","130","-44","-84","-31","40","-5","-75","76","-104","46","12","-2","-243","-6","12","-7","43","32","-103","11","-69","9","47","-33","-32","-10","21","-16","56","25","-98","23","-15","-44","82","-68","-113","54","-90","80","285","22","111","-36","-63","81","-107","-17","-87","22","-27","-94","79","-1","122","88","-35","-49","-43","19","-171","-48","-65","30","31","32","-138","-107","-8","84","29","11","2","127","11","-75","142","-22","-21","13","27","64","83","4","173","9","5","-60","32","12","54","-68","14","-103","70","-26","52","74","-10","66","-116","11","48","-13","6","159","-250","-24","66","82","-19","-37","32","11","-9","144","60","144","-17","67","-57","-44","2","-144","-125","5","24","2","-13","153","158","-27","-16","63","86","61","24","38","151","23","15","53","46","-3","306","-50","-9","27","-73","-14","-30","108","-34","142","31","-1","-196","103","4","63","83","97","-70","-86","72","56","48","-5","58","-48","-89","44","144","26","-64","170","46","81","-240","-24","272","35","36","182","73","-20","16","-38","121","174","-3","-41","71","129","0","-45","172","11","-42","187","-4","63","62","-16","69","-14","19","-21","112","64","-89","-93","-48","-22","61","11","115","-25","-13","39","-187","16","177","-91","50","153","-70","0","-64","-64","14","-13","-30","-7","145","15","20","-107","111","11","-93","24","53","-5","-72","33","-199","-23","-18","-23","-21","-10","51","-66","-69","-25","-68","-13","41","-96","117","11","4","-12","-17","36","0","-56","-95","8","-89","-74","-50","137","-140","-20","-236","-128","23","31","171","3","-293","183","17","1","-33","-37","-160","-22","-100","-65","-98","-12","224","71","71","91","-109","39","60","-94","15","-243","-31","27","94","-55","40","22","-350","11","-55","-30","-25","68","-202","5","64","-9","28","4","18","-62","-27","-207","6","-26","66","11","-168","0","1","75","-78","-47","-82","-130","24","-107","106","12","112","131","38","-46","142","-53","-6","-65","125","92","-95","21","56","-30","7","-69","-83","6","324","-165","19","-146","56","30","-236","68","-21","-87","-132","43","127","-60","53","-81","-155","25","10","-3","-36","35","48","14","-196","-68","-23","-42","36","9","-227","34","2","-47","2","-20","-11","-156","-1","95","-396","-5","58","-74","117","4","53","-15","-173","-183","-2","-123","33","63","209","50","151","-143","-183","12","115","-39","-67","70","226","21","-125","-62","29","-59","-78","-16","120","-80","-53","38","-37","5","181","160","120","33","132","3","-50","-32","52","-166","28","90","168","-54","-11","-88","-139","-23","-99","-41","65","1","33","-53","23","-48","46","20","-78","-82","-108","-195","54","3","274","17","168","-59","56","-8","-137","-7","-472","7","40","-33","-51","-96","-93","-70","107","-25","178","-10","133","-93","83","127","-133","-74","-71","7","65","-14","48","-21","-14","-65","-75","84","13","-12","-4","13","61","30","-50","44","92","41","-11","-121","177","94","-172","-219","61","-25","-39","-28","-111","-210","-42","57","169","-19","4","223","42","7","-187","6","-145","53","-13","16","7","39","114","-1","13","111","107","23","-169","57","17","-8","39","-22","141","133","-156","-18","-110","-40","139","34","55","24","-533","-52","245","117","-11","17","-100","81","-283","-17","88","82","74","45","136","81","-3","-41","26","-47","65","-28","75","71","65","45","124","5","-34","-63","-16","5","92"],"lmfdb":"agrees"},{"label":"597.2.a.e","letter":"e","dim":14,"charpoly":["151519161847","-120099054178","-18955958278","24248009298","-713062996","-1544551121","124417808","43302864","-4592932","-560724","70521","2986","-451","-5","1"],"traces":["14","2","14","20","1","2","11","3","14","4","0","20","15","-4","1","28","5","2","19","-11","11","0","6","3","25","-15","14","1","-14","4","11","-7","0","-9","9","20","1","-20","15","-11","-17","-4","38","-45","1","-10","-5","28","25","-40","5","16","-12","2","30","-34","19","-20","9","-11","14","12","11","15","-30","0","10","2","6","-74","-19","3","37","-14","25","27","8","-15","11","-16","14","12","45","1","-6","-39","-14","-62","-25","4","24","19","11","-10","-39","-7","3","-11","0","-16","12","-9","8","-24","9","-25","-18","20","19","-43","1","11","-27","-20","-30","-73","15","11","-36","-11","24","15","-17","-53","-54","-4","30","-47","38","-72","32","-45","-23","16","1","-56","-20","-10","32","-41","-5","-81","-29","28","-20","-66","25","-39","-67","-40","-15","-39","5","-63","-26","16","25","-31","-12","-57","-48","2","46","-32","30","-2","11","-34","23","11","19","56","-25","-20","-9","-53","9","-20","-48","-11","1","23","14","-32","-39","12","23","16","11","13","-18","15","8","-82","-30","-12","-9","0","-14","21","10","11","12","2","-7","95","6","46","-32","-74","71","54","-19","-5","41","3","6","79","37","119","-70","-14","-30","-92","25","67","61","27","-21","144","8","-125","-27","-15","49","118","11","17","21","-16","28","81","14","35","-41","12","62","156","45","-21","67","1","-46","35","-6","106","-5","-39","59","20","-14","93","101","-62","-40","107","-25","25","-33","4","-19","101","24","-19","39","19","2","67","11","-8","-71","-10","136","-59","-39","-89","13","-7","-11","248","3","102","-19","-11","-64","51","0","-43","0","-16","17","109","12","-107","-8","-9","62","79","8","6","49","-24","2","-33","9","91","-33","-25","-6","-80","-18","-107","100","20","15","28","19","79","-65","-43","-21","304","1","-13","-36","11","46","142","-27","-78","-47","-20","40","-93","-30","103","25","-73","-10","135","15","-121","36","11","20","119","-36","-85","5","-11","-3","86","24","53","-73","15","-6","204","-17","13","66","-53","-38","124","-54","-47","-77","-4","-17","82","30","66","47","-47","-151","10","38","-11","-54","-72","48","100","32","-168","182","-45","-75","-2","-23","-47","-44","16","65","-14","1","5","20","-56","0","12","-20","-147","-84","-10","-75","219","32","145","53","-41","-31","5","-5","-110","-88","-81","80","0","-29","-22","-27","28","-64","64","-20","129","-64","-66","-10","47","25","-111","138","-39","-75","137","-67","-35","-74","-40","46","-37","-15","-136","52","-39","-15","197","5","-175","-84","-63","-62","-153","-26","-34","95","16","-72","73","25","246","-41","-31","31","30","-12","73","-57","-57","12","119","-48","-102","-83","2","-96","44","46","100","106","-32","-15","-214","30","-76","-108","-2","-30","108","11","-90","31","-34","-113","70","23","52","-92","11","-25","-41","19","-127","88","56","-64","-15","-25","-281","-124","-20","44","109","-9","94","-78","-53","-38","-6","9","28","-101","-20","61","42","-48","-35","-89","-11","-29","174","1","-174","-124","23","-67","-39","14","98","-72","-32","54","-63","-39","8","-73","12","-73","-93","23","-8","180","16","-136","96","11","-154","-108","13","90","-110","-18","-188","-72","15","-65","55","8","-32","-161","-82","-38","-261","-30","26","92","-12","-78","-111","-9","-131","-63","0","-197","-38","-14","220","-3","21","29","14","10","73","-154","11","-1","-16","12","-29","7","2","0","-87","-7","127","-107","95","9","-119","6","-59","13","46","80","134","-32","60","-138","-74","-29","-64","71","33","193","54","-135","115","-19","169","-158","-5","31","-204","41","131","107","3","-39","-195","6","173","-102","79","-101","56","37","-127","-46","119","13","-18","-70","43","-58","-14","56","247","-30","187","-52","-92","99","14","25","193","-48","67","31","161","61","-205","33","27","-151","91","-21","352","-46","144","-45","-114","8","-16","5","-125","-31","-65","-27","-112","-72","-15","-55","-265","49","224","27","118","-22","220","11","-33","-118","17","92","-302","21","-152","-97","-16","100","-95","28","191","-93","81","-58","-10","14","220","198","35","37","-98","-41","-84","-80","12","11","-56","62","120","-15","156","86","46","45","90","-67","-21","-58","95","67","24","20","1","-57","-11","-46","-64","-39","35","122","-184","-6","244","-32","106","193","46","-5","15","-74","-39","-9","-245","59","138","-133","20","-145","-182","-14","-223","-94","93","70","90","101","-87","-176","-62","59","-34","-40","-20","14","107","-39","89","-25","-78","132","25","88","221","-33","141","-65","4","-77","73","-19","73","-58","101","73","-15","24","11","-81","-19","146","38","39","39","194","19","-47","54","2","116","46","67","70","255","11","25","52","-8","54","-14","-71","194","114","-10","-174","-34","136","132","34","-59","98","-301","-39","237","-23","-89","185","-25","13","-183","16","-7","-76","-106","-11","192","17","248","-91","106","3","34","391","102","-32","161","-19","64","-121","-11","93","-357","-64","79","190","51","127","-198","0","-137","57","-43","-117","-29","0","99","179","-16","86","6","17","212","-1","109","52","-7","12","68","-65","-107","66","-306","-8","-130","11","-9","-21","249","62","198","157","79","13","-45","8","-157","162","6","111","-149","49","-128","31","-24","-19","-165","2","551","-91","-33","126","-13","9","2","41","91","-17","-215","-33","-181","41","-25","-36","-41","-6","-67","-49","-80","257","224","-18","-23","162","-107","100","122","100","-79","157","20","-115","-232","15","413","13","28","-66","-250","19","-100","129","79","31","-116","-65","-177","72","-43","-47","409","-21","32","-1","304","91","-208","1","-52"],"lmfdb":"agrees"}],"seconds":0.221,"computed":"atlas","estimate":{"seconds":0.393,"low":0.24,"high":0.68,"bytes":2154208}}