{"label":"622.2.a","level":622,"weight":2,"dims":{"new":25,"cusp":77,"eisenstein":3,"modsym":157},"old":[[311,26,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 311, 622]: [0, 1, 27, 80] (certified at ell = 2147479121)","T = [(3, 1), (5, 1)]; h of degree 25 = 1 x 25 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"622.2.a.a","letter":"a","dim":1,"charpoly":["4","1"],"traces":["1","1","0","1","-4","0","1","1","-3","-4","-1","0","-4","1","0","1","-8","-3","8","-4","0","-1","-8","0","11","-4","0","1","-3","0","6","1","0","-8","-4","-3","-10","8","0","-4","2","0","1","-1","12","-8","9","0","-6","11","0","-4","-8","0","4","1","0","-3","5","0","-1","6","-3","1","16","0","-4","-8","0","-4","6","-3","1","-10","0","8","-1","0","-1","-4","9","2","6","0","32","1","0","-1","15","12","-4","-8","0","9","-32","0","4","-6","3","11","3","0","-14","-4","0","-8","-6","0","-6","4","0","1","-13","0","32","-3","12","5","-8","0","-10","-1","0","6","-24","-3","5","1","0","16","-4","0","8","-4","0","-8","-5","0","-20","-4","0","6","4","-3","12","1","0","-10","-2","0","8","8","24","-1","-24","0","8","-1","0","-4","-8","9","-18","2","0","6","24","0","3","32","-24","1","-6","0","11","-1","0","15","10","12","-19","-4","0","-8","40","0","8","9","0","-32","2","0","27","4","0","-6","-18","3","16","11","0","3","-3","0","-8","-14","24","-4","-8","0","-12","-8","0","-6","-4","0","6","-6","0","4","32","0","-13","1","-33","-13","9","0","-14","32","0","-3","-8","12","-36","5","0","-8","-16","0","-10","-10","0","-1","24","0","-32","6","0","-24","-21","-3","8","5","0","1","0","0","-10","16","9","-4","4","0","32","8","0","-4","-18","0","-18","-8","0","-5","-11","0","-14","-20","-18","-4","-6","0","-7","6","0","4","2","-3","47","12","0","1","-9","0","-20","-10","0","-2","32","0","1","8","0","8","4","24","33","-1","0","-24","1","0","14","8","12","-1","-20","0","3","-4","0","-8","-64","9","-44","-18","0","2","9","0","-2","6","30","24","16","0","27","3","0","32","-6","-24","-13","1","0","-6","18","0","-25","11","0","-1","-21","0","-24","15","0","10","-31","12","45","-19","0","-4","-4","0","-5","-8","-6","40","-8","0","-23","8","0","9","12","0","19","-32","0","2","0","0","4","27","-3","4","12","0","64","-6","0","-18","4","3","9","16","0","11","5","0","-24","3","-36","-3","10","0","-14","-8","0","-14","5","24","-24","-4","0","-8","12","0","10","-12","-27","-8","-88","0","-1","-6","0","-4","27","0","-28","6","0","-6","-64","0","-24","4","18","32","36","0","-60","-13","0","1","-22","-33","-2","-13","0","9","16","0","23","-14","0","32","-6","0","-24","-3","0","-8","-22","12","-4","-36","0","5","-1","0","88","-8","24","-16","29","0","40","-10","0","-10","-16","0","24","-1","0","24","40","0","24","-32","-12","6","6","0","40","-24","0","-21","-3","-3","-12","8","0","5","19","0","1","1","0","0","56","0","-9","-10","0","16","-1","9","-24","-4","0","4","-48","0","41","32","-15","8","-8","0","24","-4","0","-18","6","0","-17","-18","0","-8","24","0","-28","-5","3","-11","-24","0","-1","-14","0","-20","9","-18","-4","-4","0","-6","30","0","52","-7","9","6","30","0","-30","4","0","2","-88","-3","28","47","0","12","6","0","8","1","-48","-9","15","0","48","-20","0","-10","-1","0","32","-2","0","32","12","0","-8","1","12","8","40","0","8","8","0","4","-36","24","6","33","0","-1","-12","0","15","-24","0","1","15","0","41","14","0","8","80","12","40","-1","0","-20","-20","0","24","3","-18","-4","-8","0","40","-8","0","-64","48","9","-5","-44","0","-18","21","0","16","2","-3","9","-7","0","-14","-2","0","6","-32","30","24","24","0","16","1","0","-22","27","0","3","17","0","4","32","0","-6","-28","-24","20","-13","0","1","32","0","35","-6","3","18","80","0","-16","-25","0","11","-24","0","-80","-1","0","-21","3","0","9","-24","3","15","-48","0","-16","10","0","-31","4","12","-14","45","0","-19","-33","0","29","-4","-27","-4","-8","0","-35","-5","0","-8","4","-6","-16","40","0","-8","0","0","8","-23","-18","8","-6","0","-38","9","0","12","-32","0","-2","19","0","-32","-10","0","-6","2","-96","0","-20","0","17","4","0","27","-29","-3","66","4","0","12","16","0","-6","64","0","-6","-32","0","-17","-18","0","4","-13","3","4","9","0","16","-38","0","-72","11","-45","5","-1","0","32","-24","0","3","29","-36","16","-3","0","10","72","0","8","-14","12","-8","-18","0","-4","-14","0","5","-12","24","38","-24","0","-4","48","0","-96","-8","0","12","-2","0","-20","10","0","-12","-12","-27","-10","-8","0","-88","80","0","-22","-1","96","-6","-29","0","-4","-4","0","27","18","0","24","-28","0","6","1","0","16","-6","-12","-64","-24","0","9","-24","0","4","-30","18","29","32","0","36","35","0","5","-60","-9","-13","72","0","-40","1","0","-22","-18","-33","64","-2","0","-13","76","0","27","9","-9","16","-40","0","-6","23","0","-14","-4","0","32","32","0","-6","-24","0","-110","-24","42","-3","-30","0","-48","-8","0","-22","-32","12","-17","-4","0","-36","0","0","-16","5","0","-1","42","0","-4","88","0","-8","-37","24","-8","-16","0","29","-5","0","5","40","18","-10","-108","0","34","-10","0","-16","53","0","-20","24","0","-1","-8","0","-15","24","18","40","-4","0","72","24","0","-32","-8","-12","-34","6","0","6","-64","0","12","40","0","-24"],"lmfdb":"agrees","curve":{"cremona":"622a1","lmfdb":"622.a","ainvs":[1,-1,1,8,-5],"rank":1,"torsion":1}},{"label":"622.2.a.b","letter":"b","dim":4,"charpoly":["-1","15","20","8","1"],"traces":["4","4","-5","4","-3","-5","-11","4","5","-3","-14","-5","1","-11","-6","4","4","5","-12","-3","2","-14","-15","-5","-1","1","-11","-11","-6","-6","-6","4","19","4","11","5","-1","-12","8","-3","5","2","0","-14","2","-15","-20","-5","23","-1","7","1","-10","-11","14","-11","2","-6","10","-6","2","-6","20","4","-14","19","-8","4","37","11","-9","5","25","-1","39","-12","32","8","-18","-3","16","5","-17","2","-37","0","25","-14","7","2","-8","-15","-1","-20","36","-5","7","23","-45","-1","10","7","25","1","36","-10","-25","-11","-5","14","22","-11","-10","2","2","-6","9","10","-1","-6","60","2","-26","-6","-27","20","-9","4","0","-14","37","19","32","-8","37","4","-30","37","20","11","33","-9","-57","5","16","25","13","-1","7","39","12","-12","7","32","-3","8","3","-18","-6","-3","14","16","9","5","34","-17","-8","2","11","-37","-3","0","-24","25","-30","-14","-2","7","-7","2","-20","-8","-52","-15","2","-1","8","-20","-33","36","-2","-5","-8","7","-29","23","-38","-45","-27","-1","14","10","-30","7","-12","25","-52","1","15","36","-30","-10","-19","-25","-45","-11","41","-5","13","14","-9","22","-3","-11","-46","-10","-29","2","44","2","26","-6","-56","9","12","10","-14","-1","-2","-6","-19","60","-53","2","-32","-26","11","-6","53","-27","1","20","25","-9","0","4","48","0","-40","-14","-76","37","-34","19","48","32","-37","-8","-42","37","45","4","-43","-30","-31","37","-19","20","20","11","2","33","12","-9","17","-57","34","5","40","16","45","25","-17","13","0","-1","120","7","42","39","45","12","-78","-12","44","7","-31","32","-58","-3","4","8","-13","3","-29","-18","-26","-6","23","-3","-10","14","-94","16","72","9","-26","5","42","34","-69","-17","-76","-8","-25","2","-19","11","20","-37","45","-3","-55","0","-17","-24","-34","25","15","-30","-67","-14","-28","-2","64","7","-80","-7","60","2","28","-20","-95","-8","-23","-52","69","-15","54","2","24","-1","49","8","-27","-20","14","-33","7","36","5","-2","-19","-5","-51","-8","98","7","-12","-29","-39","23","-97","-38","46","-45","-34","-27","49","-1","-54","14","-34","10","-16","-30","36","7","15","-12","4","25","-56","-52","-27","1","-26","15","38","36","27","-30","-52","-10","43","-19","48","-25","25","-45","-8","-11","8","41","-33","-5","60","13","12","14","-72","-9","-1","22","7","-3","56","-11","25","-46","50","-10","49","-29","65","2","-2","44","-87","2","-15","26","10","-6","39","-56","37","9","45","12","55","10","-114","-14","-36","-1","-15","-2","6","-6","-12","-19","-11","60","-68","-53","-23","2","-30","-32","44","-26","-78","11","-4","-6","28","53","-45","-27","46","1","-73","20","103","25","36","-9","-131","0","-153","4","63","48","-3","0","91","-40","61","-14","20","-76","-11","37","-79","-34","52","19","25","48","-56","32","-86","-37","58","-8","33","-42","-95","37","26","45","-19","4","19","-43","91","-30","81","-31","61","37","90","-19","-30","20","-62","20","114","11","-71","2","-50","33","-20","12","92","-9","-20","17","-4","-57","-8","34","83","5","34","40","18","16","23","45","47","25","19","-17","-14","13","-24","0","76","-1","32","120","159","7","69","42","17","39","-53","45","19","12","-53","-78","44","-12","71","44","-18","7","52","-31","60","32","-29","-58","33","-3","77","4","25","8","70","-13","48","3","-25","-29","78","-18","78","-26","100","-6","62","23","33","-3","55","-10","-90","14","-8","-94","25","16","46","72","-37","9","-45","-26","28","5","-111","42","-22","34","16","-69","76","-17","-154","-76","89","-8","38","-25","21","2","99","-19","-19","11","34","20","-64","-37","127","45","-29","-3","62","-55","-122","0","-33","-17","57","-24","-80","-34","37","25","117","15","61","-30","-80","-67","5","-14","23","-28","-7","-2","-35","64","57","7","-29","-80","92","-7","-1","60","-29","2","-31","28","22","-20","45","-95","-51","-8","158","-23","74","-52","-1","69","-113","-15","29","54","7","2","-91","24","7","-1","-95","49","-80","8","112","-27","4","-20","9","14","-78","-33","-35","7","-141","36","33","5","63","-2","26","-19","-68","-5","35","-51","-65","-8","-105","98","-35","7","56","-12","-99","-29","-58","-39","181","23","-47","-97","-15","-38","43","46","40","-45","-77","-34","29","-27","0","49","-12","-1","110","-54","-42","14","14","-34","-9","10","-68","-16","-76","-30","-150","36","-39","7","-29","15","13","-12","-19","4","30","25","-171","-56","-70","-52","-67","-27","-26","1","-21","-26","-68","15","-48","38","96","36","22","27","-23","-30","-54","-52","-117","-10","-2","43","46","-19","-56","48","-32","-25","25","25","-6","-45","-42","-8","-79","-11","-32","8","-12","41","23","-33","1","-5","-103","60","151","13","42","12","-49","14","99","-72","4","-9","-14","-1","107","22","-56","7","-139","-3","47","56","-66","-11","-30","25","-69","-46","-100","50","-188","-10","61","49","-22","-29","60","65","44","2","109","-2","75","44","-56","-87","-77","2","14","-15","57","26","40","10","105","-6","-77","39","-52","-56","-5","37","188","9","-41","45","-20","12","39","55","-134","10","-128","-114","-138","-14","5","-36","93","-1","-31","-15","-20","-2","-140","6","110","-6","-56","-12","82","-19","3","-11","-5","60","50","-68","76","-53","-105","-23","44","2","-23","-30","-123","-32","40","44","85","-26","-1","-78","3","11","16","-4","-105","-6","44","28","-33","53","-90","-45","166","-27"],"lmfdb":"agrees"},{"label":"622.2.a.c","letter":"c","dim":5,"charpoly":["16","1","-25","2","6","1"],"traces":["5","-5","-1","5","-5","1","0","-5","-2","5","-5","-1","-1","0","0","5","-10","2","0","-5","-8","5","-17","1","-6","1","-7","0","-5","0","6","-5","-9","10","-7","-2","-5","0","-4","5","-15","8","1","-5","-4","17","-21","-1","-7","6","-7","-1","-20","7","0","0","-18","5","-5","0","-3","-6","-5","5","-26","9","-2","-10","3","7","-3","2","-10","5","7","0","-13","4","9","-5","-3","15","1","-8","17","-1","7","5","-22","4","14","-17","1","21","8","1","-7","7","20","-6","-3","7","-1","1","8","20","-9","-7","17","0","10","0","-11","18","16","-5","9","5","21","0","-2","3","32","6","9","5","28","-5","32","26","11","-9","-4","2","7","10","-27","-3","58","-7","15","3","31","-2","20","10","15","-5","15","-7","4","0","-7","13","23","-4","11","-9","28","5","8","3","25","-15","30","-1","-2","8","2","-17","43","1","-10","-7","27","-5","-24","22","-5","-4","21","-14","24","17","24","-1","-8","-21","41","-8","-10","-1","-37","7","17","-7","-20","-20","33","6","-38","3","-23","-7","-8","1","24","-1","3","-8","42","-20","19","9","-3","7","-55","-17","5","0","-11","-10","-2","0","-7","11","-30","-18","2","-16","-2","5","-24","-9","22","-5","8","-21","14","0","-53","2","3","-3","8","-32","-27","-6","-7","-9","2","-5","-13","-28","10","5","-32","-32","6","-26","-35","-11","-12","9","-32","4","5","-2","44","-7","-21","-10","-7","27","-12","3","-45","-58","12","7","-40","-15","5","-3","7","-31","-22","2","-37","-20","1","-10","-44","-15","-2","5","-14","-15","-18","7","-24","-4","-2","0","12","7","-6","-13","6","-23","-5","4","-59","-11","19","9","-34","-28","40","-5","6","-8","4","-3","38","-25","-36","15","-49","-30","-31","1","-22","2","31","-8","-28","-2","50","17","25","-43","-24","-1","-23","10","-24","7","40","-27","11","5","3","24","36","-22","24","5","9","4","-15","-21","17","14","61","-24","8","-17","16","-24","8","1","-32","8","-13","21","4","-41","34","8","37","10","9","1","-15","37","-35","-7","52","-17","41","7","23","20","-8","20","-45","-33","29","-6","-41","38","-52","-3","32","23","-48","7","57","8","-44","-1","77","-24","21","1","6","-3","-14","8","-25","-42","21","20","17","-19","1","-9","-21","3","-5","-7","-2","55","27","17","40","-5","-6","0","-42","11","-77","10","-7","2","-58","0","29","7","8","-11","7","30","-61","18","-47","-2","55","16","-57","2","36","-5","5","24","-23","9","51","-22","-65","5","-11","-8","-30","21","61","-14","57","0","-56","53","51","-2","0","-3","-9","3","14","-8","10","32","2","27","16","6","-42","7","-31","9","26","-2","48","5","-53","13","-26","28","82","-10","-90","-5","-29","32","-33","32","72","-6","89","26","39","35","39","11","11","12","-38","-9","-10","32","-19","-4","26","-5","30","2","37","-44","57","7","-39","21","63","10","31","7","-7","-27","26","12","-61","-3","9","45","-28","58","-17","-12","0","-7","37","40","66","15","2","-5","27","3","12","-7","-4","31","-52","22","29","-2","0","37","52","20","31","-1","-17","10","59","44","-45","15","34","2","36","-5","-1","14","7","15","15","18","29","-7","-101","24","-3","4","53","2","44","0","-31","-12","16","-7","18","6","-52","13","-1","-6","-14","23","15","5","80","-4","-33","59","-46","11","35","-19","40","-9","60","34","-24","28","40","-40","1","5","-67","-6","-88","8","-36","-4","13","3","-39","-38","-19","25","10","36","-2","-15","14","49","37","30","-20","31","14","-1","52","22","-55","-2","2","-31","-112","8","-57","28","39","2","23","-50","-38","-17","-73","-25","-41","43","-54","24","-52","1","51","23","-8","-10","31","24","-93","-7","-15","-40","63","27","-10","-11","5","-5","3","-3","36","-24","-12","-36","-92","22","-37","-24","50","-5","93","-9","37","-4","-65","15","-72","21","-26","-17","-54","-14","-17","-61","-28","24","-66","-8","27","17","-39","-16","47","24","19","-8","31","-1","29","32","-92","-8","-60","13","-12","-21","1","-4","-34","41","1","-34","-11","-8","91","-37","-87","-10","6","-9","16","-1","-36","15","-21","-37","48","35","-89","7","18","-52","-19","17","-34","-41","15","-7","17","-23","28","-20","73","8","-53","-20","-99","45","-81","33","44","-29","-6","6","-63","41","69","-38","62","52","-23","3","93","-32","-18","-23","34","48","-41","-7","-65","-57","-27","-8","-103","44","-30","1","-9","-77","16","24","85","-21","86","-1","-9","-6","-40","3","-80","14","-80","-8","-14","25","21","42","38","-21","13","-20","-32","-17","46","19","-66","-1","-70","9","68","21","26","-3","18","5","-55","7","20","2","58","-55","30","-27","-57","-17","85","-40","3","5","-13","6","-109","0","-41","42","39","-11","26","77","-70","-10","-19","7","-8","-2","-11","58","2","0","36","-29","49","-7","-4","-8","-30","11","-51","-7","-9","-30","39","61","-44","-18","5","47","-105","2","84","-55","51","-16","-100","57","-93","-2","2","-36","121","5","59","-5","-98","-24","1","23","-52","-9","74","-51","20","22","87","65","68","-5","-40","11","-100","8","-77","30","-157","-21","28","-61","-46","14","94","-57","115","0","-11","56","60","-53","79","-51","-55","2","54","0","119","3","-15","9","-10","-3","55","-14","-10","8","42","-10","-23","-32","7","-2","9","-27","-28","-16","-15","-6","-40","42","47","-7","72","31","28","-9"],"lmfdb":"agrees"},{"label":"622.2.a.d","letter":"d","dim":7,"charpoly":["16","-168","432","-413","143","0","-8","1"],"traces":["7","7","3","7","5","3","4","7","4","5","9","3","1","4","2","7","4","4","6","5","-2","9","11","3","0","1","-3","4","-3","2","4","7","-7","4","-1","4","1","6","0","5","-7","-2","9","9","-6","11","-1","3","-19","0","-5","1","10","-3","-4","4","-28","-3","-1","2","-13","4","3","7","-18","-7","-8","4","-19","-1","11","4","-16","1","-17","6","-1","0","7","5","-29","-7","9","-2","-19","9","-7","9","-8","-6","-24","11","9","-1","14","3","-25","-19","-8","0","-7","-5","-5","1","-28","10","17","-3","-15","-4","-16","4","3","-28","8","-3","-35","-1","-1","2","-14","-13","-4","4","-3","3","-6","7","-26","-18","7","-7","0","-8","-7","4","7","-19","-20","-1","-3","11","31","4","-64","-16","5","1","13","-17","8","6","-1","-1","9","0","-29","7","-10","5","10","-29","19","-7","-30","9","22","-2","-12","-19","-13","9","-2","-7","7","9","-4","-8","23","-6","13","-24","32","11","10","9","-8","-1","-25","14","24","3","-7","-25","35","-19","36","-8","11","0","2","-7","23","-5","-8","-5","2","1","-5","-28","12","10","43","17","39","-3","-51","-15","5","-4","29","-16","26","4","-1","3","10","-28","-2","8","4","-3","58","-35","0","-1","-22","-1","42","2","-33","-14","19","-13","-8","-4","11","4","-11","-3","24","3","25","-6","2","7","24","-26","36","-18","37","7","60","-7","-24","0","-1","-8","16","-7","13","4","29","7","24","-19","-17","-20","46","-1","-20","-3","23","11","-9","31","28","4","-31","-64","19","-16","28","5","14","1","0","13","2","-17","22","8","56","6","16","-1","-20","-1","26","9","-7","0","-3","-29","-13","7","22","-10","0","5","-30","10","74","-29","-28","19","-34","-7","-7","-30","61","9","44","22","11","-2","-50","-12","12","-19","43","-13","-22","9","-5","-2","24","-7","20","7","-11","9","25","-4","-24","-8","14","23","27","-6","-17","13","33","-24","21","32","38","11","-80","10","60","9","36","-8","-19","-1","-2","-25","34","14","49","24","65","3","-7","-7","13","-25","16","35","13","-19","63","36","62","-8","-71","11","-29","0","29","2","4","-7","36","23","6","-5","-91","-8","-4","-5","31","2","21","1","-18","-5","18","-28","-19","12","31","10","-79","43","-59","17","33","39","57","-3","8","-51","33","-15","40","5","-28","-4","-18","29","63","-16","-41","26","2","4","45","-1","-4","3","57","10","-43","-28","-5","-2","5","8","27","4","28","-3","-37","58","43","-35","-75","0","35","-1","-5","-22","-40","-1","49","42","21","2","-88","-33","-19","-14","28","19","-77","-13","-54","-8","-8","-4","-2","11","-68","4","-44","-11","-25","-3","6","24","46","3","-9","25","-92","-6","-52","2","38","7","15","24","-23","-26","-38","36","9","-18","-39","37","-59","7","-31","60","8","-7","-120","-24","41","0","46","-1","-62","-8","-27","16","-65","-7","-13","13","-13","4","-33","29","33","7","10","24","-59","-19","-53","-17","-40","-20","5","46","-56","-1","-47","-20","16","-3","16","23","-81","11","-62","-9","-78","31","62","28","17","4","-88","-31","-122","-64","25","19","13","-16","-81","28","-55","5","8","14","24","1","49","0","-19","13","-1","2","-51","-17","-85","22","3","8","-57","56","-154","6","43","16","-26","-1","8","-20","70","-1","29","26","-44","9","11","-7","10","0","-79","-3","-96","-29","-85","-13","-10","7","84","22","-128","-10","-18","0","-15","5","-33","-30","30","10","18","74","-15","-29","-149","-28","-97","19","44","-34","-58","-7","-56","-7","-77","-30","-26","61","-16","9","36","44","1","22","-26","11","-28","-2","-59","-50","9","-12","-21","12","-120","-19","49","43","27","-13","30","-22","-10","9","-65","-5","34","-2","77","24","-31","-7","-67","20","-83","7","68","-11","-59","9","-5","25","-64","-4","18","-24","-98","-8","-1","14","-2","23","39","27","-17","-6","-39","-17","104","13","6","33","44","-24","-59","21","-54","32","-54","38","-29","11","17","-80","-69","10","51","60","91","9","-9","36","-50","-8","-10","-19","76","-1","101","-2","-10","-25","23","34","-33","14","-29","49","37","24","32","65","-88","3","30","-7","89","-7","132","13","-13","-25","-34","16","-71","35","24","13","21","-19","-51","63","-94","36","59","62","-15","-8","7","-71","-151","11","114","-29","60","0","63","29","-41","2","26","4","39","-7","-1","36","-12","23","148","6","-7","-5","11","-91","45","-8","47","-4","26","-5","21","31","26","2","21","21","38","1","43","-18","160","-5","88","18","-70","-28","-14","-19","59","12","46","31","-7","10","-12","-79","18","43","88","-59","52","17","10","33","-114","39","112","57","15","-3","-96","8","0","-51","48","33","45","-15","-3","40","51","5","105","-28","57","-4","13","-18","65","29","178","63","-76","-16","-21","-41","-20","26","63","2","62","4","32","45","-71","-1","84","-4","-56","3","117","57","1","10","13","-43","48","-28","-5","-5","1","-2","76","5","5","8","124","27","105","4","102","28","-13","-3","-77","-37","30","58","-3","43","-36","-35","4","-75","40","0","59","35","-10","-1","-12","-5","-24","-22","-35","-40","57","-1","50","49","26","42","24","21","-13","2","27","-88","92","-33","-65","-19","71","-14","42","28","-55","19","23","-77","48","-13","97","-54","88","-8","94","-8","61","-4","-57","-2","-41","11","44","-68","-3","4","136","-44","61","-11","78","-25","24","-3"],"lmfdb":"agrees"},{"label":"622.2.a.e","letter":"e","dim":8,"charpoly":["-608","-48","2024","-386","-713","227","18","-12","1"],"traces":["8","-8","3","8","9","-3","2","-8","13","-9","9","3","1","-2","8","8","16","-13","-12","9","-4","-9","21","-3","15","-1","9","2","1","-8","-6","-8","13","-16","9","13","7","12","-12","-9","13","4","-9","9","34","-21","21","3","14","-15","-23","1","42","-9","-14","-2","32","-1","13","8","-21","6","25","8","38","-13","14","16","3","-9","35","-13","22","-7","19","-12","31","12","-45","9","32","-13","29","-4","-9","9","-17","-9","-2","-34","-38","21","-21","-21","2","-3","15","-14","-20","15","-7","23","-25","-1","-56","-42","3","9","-21","14","-24","2","17","-32","-26","1","-17","-13","-3","-8","-5","21","-18","-6","-3","-25","-22","-8","-58","-38","-17","13","-44","-14","-29","-16","57","-3","-6","9","-29","-35","-65","13","0","-22","-61","7","11","-19","-76","12","-53","-31","-53","-12","-11","45","-64","-9","-24","-32","1","13","10","-29","36","4","-1","9","-45","-9","-20","17","-15","9","74","2","-17","34","17","38","-60","-21","-4","21","4","21","-47","-2","18","3","3","-15","17","14","34","20","-45","-15","38","7","37","-23","20","25","74","1","-9","56","-50","42","-59","-3","-103","-9","-29","21","21","-14","31","24","16","-2","-54","-17","-2","32","28","26","44","-1","12","17","-2","13","-16","3","-6","8","29","5","55","-21","106","18","9","6","-23","3","28","25","-13","22","-24","8","26","58","-124","38","73","17","22","-13","44","44","17","14","-24","29","1","16","1","-57","60","3","9","6","-72","-9","26","29","-31","35","89","65","26","-13","32","0","43","22","14","61","16","-7","54","-11","-26","19","4","76","-32","-12","52","53","58","31","-142","53","8","12","-1","11","-1","-45","84","64","-50","9","130","24","-56","32","-32","-1","-12","-13","-7","-10","61","29","-8","-36","-37","-4","60","1","-30","-9","-19","45","10","9","-7","20","36","-17","102","15","-77","-9","47","-74","12","-2","-30","17","19","-34","48","-17","13","-38","-23","60","-14","21","6","4","44","-21","6","-4","115","-21","20","47","12","2","25","-18","37","-3","121","-3","-35","15","34","-17","93","-14","-49","-34","-92","-20","21","45","-77","15","39","-38","18","-7","-14","-37","-36","23","11","-20","44","-25","-21","-74","29","-1","14","9","-34","-56","-21","50","-109","-42","61","59","11","3","-41","103","-75","9","-20","29","-119","-21","-20","-21","10","14","127","-31","97","-24","-111","-16","-36","2","-71","54","-56","17","-85","2","-105","-32","57","-28","-173","-26","-59","-44","38","1","-19","-12","-67","-17","15","2","-69","-13","55","16","48","-3","23","6","-45","-8","52","-29","-93","-5","-68","-55","33","21","70","-106","6","-18","6","-9","0","-6","-64","23","-63","-3","-106","-28","-54","-25","-33","13","2","-22","-106","24","168","-8","51","-26","-17","-58","80","124","-91","-38","15","-73","-5","-17","-173","-22","118","13","53","-44","83","-44","78","-17","14","-14","-55","24","-109","-29","-21","-1","89","-16","-1","-1","-63","57","-208","-60","47","-3","-41","-9","62","-6","-3","72","-94","9","-75","-26","-82","-29","134","31","153","-35","38","-89","28","-65","86","-26","7","13","-8","-32","-16","0","-29","-43","141","-22","-77","-14","13","-61","-166","-16","-8","7","-21","-54","33","11","-83","26","-19","-19","165","-4","61","-76","-93","32","-34","12","-127","-52","44","-53","32","-58","-78","-31","87","142","-80","-53","37","-8","-14","-12","142","1","-134","-11","-25","1","40","45","-106","-84","96","-64","86","50","75","-9","39","-130","60","-24","-158","56","29","-32","23","32","181","1","26","12","-8","13","74","7","-9","10","-6","-61","130","-29","-210","8","97","36","2","37","-22","4","33","-60","-141","-1","-21","30","-34","9","169","19","33","-45","122","-10","52","-9","-57","7","68","-20","69","-36","71","17","149","-102","11","-15","-112","77","77","9","-25","-47","176","74","24","-12","-50","2","15","30","80","-17","-63","-19","73","34","85","-48","42","17","-224","-13","72","38","70","23","-24","-60","-68","14","-49","-21","17","-6","27","-4","121","-44","3","21","163","-6","148","4","0","-115","-94","21","61","-20","-134","-47","55","-12","-39","-2","69","-25","77","18","56","-37","12","3","-24","-121","129","3","-174","35","19","-15","-4","-34","13","17","-18","-93","-1","14","-31","49","20","34","-87","92","-23","20","177","-21","-53","-45","18","77","90","-15","-119","-39","187","38","-102","-18","49","7","-83","14","-22","37","-172","36","-25","-23","23","-11","-175","20","73","-44","-54","25","-117","21","-2","74","63","-29","126","1","37","-14","40","-9","-128","34","-20","56","73","21","151","-50","-156","109","-39","42","130","-61","66","-59","40","-11","-22","-3","-28","41","-14","-103","-136","75","9","-9","80","20","202","-29","-98","119","-37","21","51","20","-57","21","-91","-10","1","-14","-91","-127","-7","31","94","-97","20","24","175","111","250","16","-103","36","-14","-2","22","71","-175","-54","0","56","22","-17","41","85","-75","-2","-7","105","-40","32","37","-57","-67","28","-16","173","-39","26","-10","59","-9","44","38","-38","97","-1","35","19","-110","12","3","67","-140","17","18","-15","80","-2","-15","69","120","13","-140","-55","120","-16","-213","-48","39","3","-116","-23","-56","-6","-30","45","-7","8","116","-52","32","29","-45","93","-17","5","78","68","17","55","-59","-33","234","-21","-15","-70","44","106","-44","-6","61","18","-69","-6","253","9","64","0","-39","6","116","64","-43","-23","-22","63","146","3"],"lmfdb":"agrees"}],"seconds":0.31,"computed":"atlas","estimate":{"seconds":0.393,"low":0.24,"high":0.68,"bytes":2140848}}