{"label":"655.2.a","level":655,"weight":2,"dims":{"new":43,"cusp":65,"eisenstein":3,"modsym":133},"old":[[131,11,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 131, 655]: [0, 1, 12, 68] (certified at ell = 2147482481)","T = [(2, 1), (3, 1)]; h of degree 43 = 1 x 43 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"655.2.a.a","letter":"a","dim":1,"charpoly":["5","1"],"traces":["1","-2","-3","2","-1","6","-3","0","6","2","-4","-6","-5","6","3","-4","-2","-12","-6","-2","9","8","-6","0","1","10","-9","-6","-6","-6","-2","8","12","4","3","12","-8","12","15","0","5","-18","1","-8","-6","12","-2","12","2","-2","6","-10","9","18","4","0","18","12","9","6","-7","4","-18","-8","5","-24","-14","-4","18","-6","-8","0","16","16","-3","-12","12","-30","-14","4","9","-10","14","18","2","-2","18","0","9","12","15","-12","6","4","6","-24","-10","-4","-24","2","3","-12","4","0","-9","-18","-13","-18","-7","-8","24","12","6","-36","6","-12","-30","-18","6","0","5","14","-15","-4","-1","36","0","0","-3","-10","1","24","18","28","9","0","-8","-36","-16","6","6","16","20","-24","6","-32","-6","-16","-20","6","-5","0","-12","-24","2","30","-4","28","-27","-8","18","-18","4","10","-12","-28","24","0","12","-4","-36","2","-20","-36","-3","16","-27","-18","-3","-12","4","-30","21","0","8","-12","8","-4","27","-12","-3","24","-2","20","-15","4","-2","48","22","0","42","-6","18","12","-5","-8","-36","20","24","18","16","18","24","26","-1","0","6","14","-48","8","10","-48","-16","-24","6","-12","-12","36","28","-12","-36","0","1","60","2","18","42","-12","-4","-12","10","-10","0","-14","-2","30","30","0","-42","2","-20","-36","24","0","-6","16","18","6","24","10","-36","-2","-9","0","-9","-36","-27","-28","-3","-18","-15","8","-45","16","-4","36","-22","32","-12","0","-20","-12","-1","-16","-18","-40","-15","48","-13","-12","30","32","-6","12","-9","0","36","40","30","-6","-3","10","-9","24","7","24","3","24","-12","-4","-23","0","-28","8","18","-28","15","54","24","8","39","-36","12","18","-5","-8","21","0","6","24","26","28","-48","-48","14","-36","-7","-24","-18","4","8","72","15","0","-18","40","4","36","-2","6","45","-32","14","54","8","18","-18","6","-20","0","17","-8","-15","30","-16","-42","-37","24","30","-16","-27","12","-10","-16","3","0","30","-54","-4","12","0","6","5","0","-12","4","6","-20","-30","30","12","0","-3","4","14","-48","-27","-44","-54","-4","-10","-84","10","6","-9","-36","32","0","-10","10","24","8","-27","72","-14","-40","48","-48","14","-18","34","-32","-12","0","-2","-48","21","-26","-60","2","24","36","-22","-12","-18","-14","36","96","-29","0","12","-20","8","48","-9","32","60","24","0","-12","-20","12","15","24","-15","0","-29","-56","18","12","2","72","14","24","-6","-2","4","-60","42","-4","12","0","-4","-84","-6","12","54","8","-30","24","40","-20","-54","10","10","0","-8","0","-12","4","-42","-30","12","-60","24","8","24","84","-4","-2","-72","40","-24","0","-3","-48","-36","0","18","12","-48","-32","54","-36","-4","-6","8","-48","60","0","-30","72","-2","2","9","18","4","-48","13","18","54","36","-25","54","13","0","9","6","-8","18","-24","30","-12","-16","7","90","28","-16","-42","8","36","0","42","44","-24","-32","-17","24","-5","-12","-24","40","-45","12","-6","2","-27","0","-15","36","-32","40","9","30","-6","-48","-37","26","6","12","-42","-60","-36","0","30","12","-39","-12","12","18","6","32","26","-72","-6","-40","-66","-60","-1","0","37","6","-84","-10","-5","18","20","-48","-54","-14","10","-24","26","-6","15","0","24","24","36","4","54","46","-27","-60","1","56","-72","-8","16","-36","29","0","-48","-30","0","-54","-10","-48","-48","0","21","-78","-40","36","3","-24","16","0","-36","10","-18","8","-13","-42","-1","-20","96","-12","40","-24","-6","-52","-30","0","-18","96","36","48","48","-28","28","72","8","14","-9","24","-50","36","30","0","36","-16","-15","-72","8","-30","-84","-4","-45","36","-7","-40","72","-8","16","0","-10","4","-3","-6","39","-90","48","32","-6","-28","-9","-54","-28","-16","-84","0","12","36","-20","-6","12","40","51","24","-12","-34","-30","8","-6","30","-20","0","-27","32","-2","42","24","74","6","-48","56","-60","47","16","-90","54","44","0","20","20","84","16","39","-6","12","8","60","-60","5","54","-17","8","-72","0","-20","0","21","-6","12","-10","-45","-48","-14","24","-54","-4","30","-12","-2","0","-72","60","-30","-30","32","-24","54","-8","4","6","16","-4","27","-28","-18","0","35","54","27","44","-15","108","4","8","54","20","-64","84","-18","-20","9","0","24","18","7","36","45","-64","-4","-24","-6","20","90","-10","9","-48","16","0","12","54","31","-72","47","28","66","40","-4","-96","-24","48","18","-28","11","0","7","-68","60","32","-12","24","-15","-36","3","4","48","48","-36","-42","36","0","-6","120","8","-2","45","-48","24","-72","20","44","39","12","56","36","70","0","-60","-72","3","-96","-49","58","18","-16","10","-24","-30","20","27","-16","24","0","0","18","-36","-32","12","-120","3","0","-90","0","12","12","-18","40","9","0","-4","-30","-5","-24","18","30","-17","-72","-56","58","-21","56","-3","-36","-6","0","-9","-4","40","-72","-8","-28","24","-48","7","12","-12","2","69","-8","-8","0","-29","-84","84","4","-10","-24","-30","-36","-27","8","24","84","-80","12","-45","0","-6","-108","3","-8","-72","60","24","-24","-27","-80","-78","20","2","108","22","0","-36","-20","-8","0","48","16","15","28","42","24","-36","-4","-42","84","-16","0","2","-24","-18","60","-6","-48","7","-16","-78","-48","-22","-84","1","8","72","0"],"lmfdb":"agrees","curve":{"cremona":"655a1","lmfdb":"655.a","ainvs":[0,0,1,-13,18],"rank":2,"torsion":1},"derived":{"al":[[5,1],[131,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"655.2.a.b","letter":"b","dim":8,"charpoly":["1","30","-115","-305","-162","29","45","12","1"],"traces":["8","-5","-7","5","8","4","-6","-12","1","-5","-4","-13","-18","2","-7","3","-23","5","7","5","-5","-1","0","26","8","-1","-10","3","-2","4","5","-9","-16","8","-6","5","-35","-6","12","-12","-31","-13","-8","3","1","-6","-29","-7","-8","-5","30","-9","-29","-7","-4","-9","-18","17","-12","-13","-12","-27","13","28","-18","-12","-8","-9","-7","2","-2","-31","-15","22","-7","38","-20","14","2","3","0","-4","7","8","-23","-7","26","13","-49","5","30","-25","27","28","7","21","-45","19","46","5","8","-16","19","44","-5","36","-5","24","0","-1","37","34","-24","75","0","-41","-32","73","3","26","38","-21","63","35","8","21","3","12","27","-1","8","52","-29","10","-10","68","-47","71","26","3","-8","49","-19","8","-2","20","15","20","3","4","37","-74","-14","76","5","33","-30","32","35","-9","-30","21","22","37","-16","4","4","63","24","8","-8","-2","6","-20","-6","-63","-38","55","-34","5","10","-2","-2","23","-35","-24","7","-24","-9","-6","38","-55","-13","36","12","-61","-35","51","12","-12","-34","-15","-8","18","-31","-55","45","22","-59","-13","-3","-12","-20","17","-8","26","-20","34","-8","3","4","-51","-21","-39","1","72","37","-117","5","-6","50","-12","-10","-13","-29","-68","16","7","-20","-7","11","-34","33","14","-8","28","17","34","3","-5","8","5","-4","34","30","-63","-104","45","27","-9","10","-5","20","-57","-29","-51","105","47","-29","-7","45","-50","55","-52","-4","-60","-47","-55","-90","-9","52","29","-28","-7","-18","-8","-33","7","33","17","-7","9","2","35","-12","-30","-32","53","8","-13","-12","-63","-36","70","-12","-49","8","-25","-19","-27","-24","-113","10","45","13","-58","13","12","1","28","34","16","-48","-37","-18","-68","-12","-32","-13","-12","23","-79","-33","-12","-8","-70","23","47","59","-9","3","-138","-51","3","-7","-89","23","39","49","2","101","109","-54","-163","-2","-111","49","-28","-97","-31","45","48","-96","-47","-15","34","19","42","-73","22","-26","16","-48","-3","-7","53","-26","-6","11","38","55","23","-19","-4","-20","-79","21","-104","35","14","-21","79","-7","50","2","-132","43","79","34","3","-42","-9","-21","-36","0","-28","62","-46","-25","-4","91","66","102","-111","7","-20","36","-9","-78","8","22","95","34","38","-23","-30","77","-63","73","-7","19","-13","-69","21","26","-7","55","-101","31","13","8","87","-31","89","-49","17","-24","-23","-90","5","16","-37","20","-79","30","60","14","-52","42","-25","-35","-134","-3","34","27","-113","7","11","106","28","23","69","-55","-94","7","-2","-14","16","73","21","67","8","4","-60","-45","-102","-5","12","-40","19","34","-16","-70","-26","46","-59","38","-12","12","5","18","56","-25","-105","8","56","49","-44","-18","-16","86","76","115","141","19","-101","50","-31","-62","44","-39","61","30","5","-5","-80","91","149","46","36","64","60","44","-89","-5","-175","91","-79","75","24","101","47","88","-28","0","22","100","65","53","-1","-51","-1","-46","54","37","171","82","52","-70","34","81","-57","-75","26","-24","-11","101","-101","-9","75","31","90","-63","-53","0","102","-48","10","58","-41","-17","-84","-68","9","-32","61","21","46","-53","73","62","1","-7","-94","3","-41","74","30","-44","26","45","-40","140","-14","38","-56","18","-93","-127","-21","102","21","-17","139","63","-119","-64","11","24","35","-43","-12","63","19","8","37","130","-82","47","21","52","177","36","-121","3","-61","27","44","74","12","-61","-22","-68","58","27","93","84","-7","22","-1","83","13","-104","14","8","57","-55","27","32","52","24","32","-102","45","-29","84","76","8","-20","10","-67","-13","7","165","-10","-142","-25","-17","44","68","-22","-117","-24","163","-47","42","-25","66","-19","71","66","47","31","-172","26","-55","80","49","43","3","53","-4","-33","-9","-8","40","77","189","18","49","-140","185","-176","82","-19","-46","46","-105","-99","8","98","-32","-115","-217","-2","83","18","39","-5","20","117","-90","-35","-75","15","-11","-5","-37","-29","20","18","-65","-30","-62","3","-124","19","-71","-32","4","77","-49","171","-44","37","-35","-40","41","-70","-74","-161","-26","-99","8","-14","-32","24","21","-144","76","-32","36","60","-126","5","250","-10","-124","56","33","-72","-69","-157","-80","-30","4","54","-97","-11","32","-78","77","-5","60","35","-138","11","42","53","-9","-123","-163","32","-84","-30","95","16","63","71","21","-53","55","-26","-84","22","-15","4","221","-140","37","74","59","-71","-44","-16","22","74","197","-109","4","85","-145","-30","45","4","-108","88","-50","-14","63","-14","6","-89","-101","24","-116","19","-41","-57","8","-173","-54","44","-22","-8","179","-170","82","55","-2","15","156","-77","-89","6","-127","46","-37","-3","-20","-84","7","76","-203","-6","169","8","-88","-131","-63","-55","-64","-28","37","-38","55","-53","-139","-158","55","11","-34","91","-110","-34","102","-35","3","-131","5","217","-96","-65","-42","10","63","-6","128","103","-2","-130","-127","93","-25","-2","99","-6","143","-29","23","-2","167","-79","50","-35","95","-52","138","-215","-24","54","148","-95","-86","7","122","58","-82","104","-24","-53","-94","-59","-173","-9","138","61","183","151","-6","-69","-35","83","-207","38","-43","-87","-287","52","-55","39","-51","-105","94","-13","-97","-50","122","-115","36","-93","94","-29","177","12","104","-128","1","-158","-61","57","-147","90","-157","-35","-95","119","-123","134","51","-20","-37","14","-102","12","147","-18","74","50","-12"],"lmfdb":"agrees","derived":{"al":[[5,-1],[131,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"655.2.a.c","letter":"c","dim":8,"charpoly":["5","0","-61","67","26","-31","-7","4","1"],"traces":["8","-3","-1","5","-8","-6","0","-6","-3","3","-8","5","2","-12","1","-5","-15","-3","-13","-5","-13","9","-4","-8","8","-7","-4","1","-26","6","-19","-5","-14","-4","0","-15","11","-4","-12","6","-27","23","10","-21","3","14","-11","-11","-12","-3","0","9","-1","11","8","-7","16","13","-20","-5","-8","29","1","0","-2","24","6","-11","-11","12","-28","39","-15","-22","-1","-28","-8","-20","-4","5","-28","50","-19","0","15","-1","14","9","-61","3","-2","27","1","16","13","39","11","-35","10","5","-28","50","5","-10","13","24","33","8","-8","-9","-1","52","-28","11","4","17","28","3","7","8","-18","31","3","-19","-8","45","3","22","-1","7","-8","26","11","18","4","12","-25","-7","-6","-1","20","39","9","0","26","36","7","-22","-3","-6","9","62","-20","22","19","57","60","14","-5","5","-26","25","28","-75","14","32","-14","7","4","4","18","54","-26","8","0","1","18","57","22","15","-50","56","-4","-9","-11","4","33","-64","19","4","10","21","9","12","12","63","-7","-21","-4","-6","-16","-25","12","-20","27","25","-19","34","-43","-23","45","-22","-12","-57","-10","28","-8","-48","24","21","-62","57","31","-39","-3","-16","3","-35","-43","-14","-18","4","-24","5","11","28","16","-7","28","11","-35","32","27","-38","12","34","-53","-6","-55","3","-26","-77","36","-18","0","-55","-70","-79","37","-9","-26","3","4","-27","1","41","-7","-27","-45","-11","-7","-10","-59","-28","-8","-28","67","-69","4","7","-72","-9","22","13","-16","-46","-23","-11","-3","-13","9","7","-22","1","20","2","14","-25","-18","5","-36","-59","116","-20","8","11","-54","-47","21","-29","16","-45","-6","-115","-1","-24","-21","0","-21","0","-34","-30","44","11","2","36","4","2","-3","-24","-49","21","-23","44","-6","-14","-13","-49","31","11","-17","-4","33","-33","11","-21","47","-99","13","-12","-7","15","-112","59","28","-59","35","24","37","-39","-7","4","40","-95","15","50","5","-32","15","22","18","-22","70","9","1","29","-96","-56","11","28","61","-95","25","10","8","15","17","54","-69","20","39","-87","1","22","4","20","-9","-119","48","-5","-28","-41","49","-12","28","-68","0","-22","-9","-50","83","-138","48","5","19","36","-8","-27","64","0","-22","-29","48","-2","-15","-50","-69","53","1","1","35","1","31","57","-14","-23","-59","-57","51","-9","-24","27","79","5","61","-15","-58","13","-34","-3","64","19","64","29","2","52","12","14","36","-27","-79","-30","27","8","-1","-59","-47","-17","-68","-16","77","-127","-27","-66","-13","68","4","82","13","-39","-77","-2","32","-36","-11","52","69","20","-54","35","-58","8","64","118","-10","21","-50","48","46","-5","34","22","35","61","28","-4","39","-26","-76","-50","-62","62","-3","33","-5","35","14","-57","122","10","33","55","-28","-5","-13","-64","-23","-5","-70","-24","-88","-2","28","93","-33","121","-25","-33","23","-8","-37","-31","34","16","8","92","84","109","-31","9","73","-23","-98","36","1","5","2","-8","130","-52","47","-3","99","34","28","11","35","87","-5","-11","-27","-40","23","93","-4","-46","-24","24","6","-17","29","-54","70","85","-28","117","-27","30","35","-3","-30","1","-61","-50","-7","45","16","-34","56","-8","-51","52","60","154","18","-42","56","-7","125","-31","24","41","129","-79","-3","105","-42","63","54","19","63","-120","31","-45","8","33","-50","94","91","-45","52","129","-106","-19","-3","-33","47","24","38","-22","-9","48","90","6","1","-7","-8","-145","22","-7","41","-25","106","6","8","17","5","87","120","-26","-38","-16","114","5","-11","4","56","-118","24","-18","49","-51","61","-61","-4","-46","21","-57","60","-12","4","-115","-46","63","25","26","-119","4","-103","7","-42","-33","81","20","6","97","-20","5","91","1","105","70","47","7","-20","-100","-141","-61","-30","-39","64","59","-36","-74","-9","22","28","7","61","0","-36","20","79","29","-26","17","-118","19","3","-36","-127","-2","-21","-49","-7","-43","-19","-71","15","22","-16","-133","36","2","3","56","-27","59","0","6","-23","27","-115","128","-9","29","28","51","106","-62","21","-32","115","-64","20","28","-88","-65","-20","-22","52","-66","-12","8","-19","-82","-16","-98","2","-57","-48","-67","45","108","-60","6","-114","-63","49","-14","-38","-57","-9","144","5","134","-97","-70","-103","-5","-23","-151","-60","14","26","11","94","29","13","-25","-37","159","36","64","-28","93","-96","-91","8","75","138","-111","-29","84","-14","-168","54","13","-9","-32","-95","-213","16","25","14","118","-12","-74","6","-7","2","138","-27","47","-4","-56","-1","25","71","-4","-41","-78","82","122","-18","-155","-54","-24","15","-54","19","-96","-39","-109","26","213","-148","-59","83","-8","60","3","-32","-45","0","-121","24","42","3","-1","-115","108","128","5","-18","-93","-19","-25","-122","-57","39","-4","37","74","-22","20","93","165","25","-15","-69","-82","-45","2","50","-89","-34","-62","-9","-56","38","25","-63","-41","4","-161","0","-135","91","9","22","-17","51","30","11","27","24","-76","-115","-4","-90","44","85","-102","-33","-54","-70","176","-24","64","-15","-112","-49","107","-19","-54","-77","13","-97","-4","-105","13","-91","-3","-10","-7","81","-55","-14","-21","-81","59","-43","100","-9","23","-152","-12","-135","-12","7","-98","195","33","-12","-112","-70","-87","-46","-63","69","227","84","23","7","-35","-23","-9","30","21","-128","49","-194","114","4","-91","62","-142","-6","6"],"lmfdb":"agrees","derived":{"al":[[5,1],[131,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"655.2.a.d","letter":"d","dim":13,"charpoly":["1085","9117","24042","14373","-20725","-14908","9464","4008","-2312","-319","255","-8","-9","1"],"traces":["13","4","5","10","13","2","2","9","18","4","0","7","12","0","5","-4","21","8","3","10","-5","7","14","-4","13","3","14","-5","0","2","-3","12","16","-12","2","2","35","-14","-24","9","31","13","0","-3","18","-10","17","-19","-3","4","-4","29","21","-37","0","-3","20","-9","16","7","-14","21","-31","-45","12","12","12","-5","-31","0","16","6","13","8","5","-4","36","-78","-44","-4","29","4","1","-40","21","-1","14","-35","29","8","-30","-11","15","-30","3","-13","25","-50","-34","10","18","16","1","16","-5","-34","-5","-64","-62","7","-13","6","30","-97","14","51","30","-31","-25","-4","-5","29","-33","-51","13","-23","-3","-63","-37","3","-13","12","1","-28","14","-10","65","-113","-54","-5","-32","-7","-47","-51","0","2","-37","-4","-9","2","-23","22","26","-58","-3","-71","14","-52","-21","12","34","10","14","-27","16","-10","16","-75","-13","-12","-42","2","60","-12","2","-25","-14","-63","6","2","-60","80","-10","-13","35","44","-43","20","-77","-14","30","41","37","12","-24","-84","19","-15","-24","9","24","67","32","-36","31","47","45","-20","37","13","-27","74","26","-85","0","0","24","-52","40","-3","46","65","25","-11","18","2","11","-95","-25","-10","-54","18","16","-13","17","46","-14","7","16","-19","-9","57","97","6","-3","-18","5","-22","-7","4","82","73","28","48","-4","-18","38","69","-55","29","-24","-4","8","-83","21","77","5","-3","45","-37","-27","-8","31","-28","0","32","7","-47","80","-3","14","33","-44","61","20","22","-1","-62","-60","-9","61","29","88","69","16","32","40","23","26","7","-104","21","-16","24","-14","79","-48","-49","-87","21","-20","11","48","25","-31","-80","67","-70","-45","-45","94","-20","32","-8","12","-14","-116","140","77","12","-89","105","63","20","12","122","77","26","23","-5","15","18","13","15","-31","75","-9","-25","51","0","-59","-49","132","55","16","-7","37","-20","-31","6","10","66","-4","73","13","74","-61","34","13","8","30","74","92","79","5","-59","70","-42","-41","-4","-83","165","73","110","36","73","-143","42","5","-78","-81","-46","-5","42","-44","74","45","35","-12","-4","26","59","-31","104","29","20","-74","-46","1","4","11","56","66","-103","1","74","-18","99","32","-40","-60","47","24","88","21","70","-35","-103","-3","-1","-77","-129","107","-15","14","-35","-13","43","-41","-35","-23","-61","31","113","29","39","-178","5","24","8","-160","89","-20","13","-30","-24","-100","-74","36","-11","19","-68","-7","6","15","35","-77","9","-16","-30","-67","43","-7","86","3","-48","-84","10","65","-13","-89","-18","98","55","25","60","-73","-74","-14","-50","-10","-56","38","50","-34","-19","-30","-60","22","10","-126","-44","31","13","18","-84","-131","98","138","16","-66","-71","45","67","1","183","8","-39","-50","16","47","39","-6","-10","-5","-36","-153","-83","19","-34","-132","-160","52","-11","-5","-35","-21","143","-37","-64","-91","17","44","116","-62","72","-64","11","-53","7","-27","-5","78","10","-13","-39","16","-84","-66","6","31","-71","-15","-62","30","131","-227","91","-3","-97","-127","-26","-75","93","14","17","-50","-135","50","51","-91","-108","8","91","30","-77","-123","-14","-185","-31","26","27","27","194","-25","-33","-84","158","32","-4","-29","-26","-12","-118","-5","182","-116","-49","-71","29","4","-63","1","17","-33","-27","54","-197","-42","-51","-113","-136","-89","23","13","-15","-88","22","87","-23","-152","-135","-88","119","-3","43","-75","-224","-2","-63","9","14","20","126","-37","13","-44","104","-138","3","-87","-153","-2","114","-13","105","93","15","24","12","32","-96","-106","69","1","254","-156","-100","-100","-28","25","121","-3","117","14","-59","13","69","64","-10","-36","-133","-180","23","65","22","-89","66","49","-113","-14","43","-33","66","-54","-7","62","-93","99","-5","-57","-268","-5","23","-32","130","-83","69","-108","-7","-160","-89","76","-14","-47","0","-6","15","21","-51","8","-87","119","79","0","113","-8","-91","36","2","45","18","-29","99","-37","-7","131","-191","-41","-4","68","31","0","122","-9","116","-199","39","-120","2","-19","-175","71","12","-23","-79","26","-97","142","22","115","58","21","-38","26","-60","-88","-39","74","-58","96","-42","132","44","-3","84","-38","182","70","-71","-216","79","-49","-87","14","-2","10","-163","-123","-52","138","-89","27","-26","-21","6","113","-102","33","12","171","-49","2","234","34","7","-196","71","99","10","-53","39","-126","-56","14","69","24","177","132","-27","-12","35","97","56","16","12","-58","11","-19","-10","-23","-67","22","173","16","58","174","-30","46","-75","37","-206","-7","91","-13","290","-133","-27","-41","-12","-37","96","84","-74","-42","-15","164","-2","7","2","55","0","31","-93","60","-31","34","141","7","-12","-148","33","164","83","2","179","102","-252","-17","-25","79","11","-12","17","-14","171","-185","13","-38","-63","55","-82","-57","-242","6","80","67","149","17","2","-53","4","75","-60","-60","291","-18","-90","53","80","-26","-3","177","-131","-10","177","-2","67","-81","-13","206","109","159","82","35","-101","-78","124","75","44","-30","6","93","190","-43","260","20","-266","104","20","11","266","73","97","-77","118","75","73","-17","-14","95","17","97","-29","30","-45","-225","317","162","41","52","-91","-1","-178","37","135","-106","51","157","12","-101","166","-17","-215","-24","56","62","41","106","-84","-337","-291","144","235","19","-63","-83","223","-66","-15","60","-101","224","214","-24","-3","8","-74","158","9"],"lmfdb":"agrees","derived":{"al":[[5,-1],[131,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"655.2.a.e","letter":"e","dim":13,"charpoly":["-2843","-10335","15342","19477","-16347","-12852","7322","3676","-1708","-445","211","12","-11","1"],"traces":["13","5","6","15","-13","-2","-1","12","21","-5","12","23","-5","4","-6","23","25","21","9","-15","10","-19","8","22","13","29","21","-5","12","2","7","29","22","14","1","5","-33","12","-7","-12","56","-33","-15","5","-21","-26","21","5","32","5","-4","-37","-2","-17","-12","-1","-32","-19","27","-23","3","-31","19","50","5","-56","-20","63","11","-4","10","-31","-1","-66","6","-18","-12","6","16","-23","17","-18","17","-34","-25","-5","-40","-51","98","-21","-13","-11","-9","-10","-9","-15","9","29","54","15","17","-114","-9","84","-10","10","22","74","15","19","-31","-96","22","59","-8","-113","-26","25","61","-22","19","-23","34","-9","-13","-127","-51","112","34","-29","13","-38","-101","-72","-21","-12","57","45","22","5","-10","-89","1","-80","-12","40","-23","-108","39","-2","-6","-94","18","-20","-7","-141","-18","-10","-18","-29","12","-147","-52","81","-22","-14","-14","-91","58","-14","20","-48","26","36","-1","-93","61","91","-3","-5","2","-40","-105","-9","33","-4","11","88","76","-12","-3","-83","-1","-2","7","43","7","-27","-30","12","4","25","14","-50","-56","23","-47","22","37","33","41","-72","-6","83","15","78","-26","-14","-48","-5","-46","-115","5","-23","21","8","61","39","-15","26","42","-88","-21","-13","-21","112","0","181","4","-5","21","-26","19","-2","-32","-22","-91","-14","53","-5","-4","23","-68","44","4","141","96","115","-1","37","6","5","29","-25","2","29","8","-1","78","17","32","130","26","130","12","76","-35","23","-98","1","88","-25","7","49","32","132","-8","57","112","19","-25","53","36","27","-27","-138","114","-17","-122","23","27","27","-39","22","-3","-115","-9","65","45","31","3","-109","-22","-1","-19","18","8","112","-23","-50","-21","10","-32","101","-5","-14","15","28","-35","56","-39","-135","-73","40","20","-234","-6","-7","-43","-63","27","268","-158","3","-11","41","43","-31","15","4","-4","-63","110","51","-10","213","133","-2","-57","31","26","-12","-21","147","1","-44","22","60","121","66","29","-8","-74","-29","-6","29","90","-98","-57","18","151","61","4","16","12","-103","-65","-14","41","-6","7","-11","6","-8","-16","50","2","-31","-68","23","152","-41","-111","-76","-17","8","24","-62","77","18","-13","12","7","117","-17","96","-30","41","16","34","20","-13","34","-18","25","-54","-34","47","-71","5","-13","-47","-17","89","40","69","29","103","-8","51","114","135","-71","-155","-98","-133","44","-107","130","21","76","11","-87","-51","13","152","65","158","-32","11","91","-100","-67","-254","9","-47","-63","-61","-180","10","-93","211","105","-146","9","134","-90","28","-21","15","27","90","-236","-156","-9","-270","53","64","204","-29","-80","222","-164","-66","-54","77","106","20","-84","-15","58","-34","-57","-141","-17","-28","151","40","0","114","-14","208","-195","-31","9","-83","-52","31","-198","-84","183","207","-138","15","10","150","33","115","3","-10","42","-138","-15","1","-22","-119","-66","125","-29","-74","-51","37","-142","46","-15","48","-32","165","-49","-19","21","189","-100","-58","31","-109","23","80","-45","96","-31","153","-92","110","-22","59","-6","-145","10","-59","-33","-140","-62","-179","8","-172","29","92","-216","113","81","14","-266","-87","26","-39","124","326","59","-25","-88","-167","113","-162","-61","-77","-92","-174","-147","22","24","-36","-28","76","-19","-50","58","-119","35","23","-64","-209","-65","-15","-34","85","22","7","-136","9","-113","-110","-22","-117","13","-29","-8","16","55","127","-45","145","-6","61","51","-19","-143","92","-182","-112","-6","206","78","-330","-34","-71","20","-41","42","29","-363","25","-109","-76","-13","-9","-61","-145","-52","38","2","-48","-196","-191","101","-120","28","-70","-88","72","-111","-113","-67","-117","21","286","-33","105","-94","12","30","85","-35","-161","-57","-132","81","-256","-2","-45","-7","113","17","-78","-22","-31","-52","89","-42","-5","18","252","-61","-149","10","164","-28","225","14","89","136","295","284","146","-1","-106","-68","-129","-150","80","-62","-132","-193","-181","12","-251","32","-11","-36","-40","-101","72","-65","-181","23","-183","25","141","56","108","0","273","-146","138","-39","-270","35","5","97","2","21","205","-27","-48","6","163","-187","141","46","94","139","356","70","-40","-18","-58","-35","11","94","20","-110","98","188","170","7","-82","52","-270","-78","141","80","-243","-69","36","18","-2","82","201","22","10","-228","17","-128","-70","18","34","50","238","73","29","139","-63","-26","68","-12","-121","217","135","15","147","0","63","115","168","52","-159","102","163","-202","-81","113","-31","-77","128","22","-108","43","47","-48","14","-117","371","62","-23","14","-96","-24","-142","7","91","37","0","79","75","-58","90","194","93","68","14","63","-144","40","-120","-20","-41","-148","240","-61","48","-98","24","-7","271","-26","-41","57","-269","-7","-36","-10","-265","42","29","1","-3","45","92","7","93","91","204","18","-111","-61","27","53","-49","70","-91","179","32","29","182","3","-42","53","81","-71","5","23","-58","22","-166","-2","-79","-17","32","-23","40","-1","333","17","341","105","-49","-1","-31","-59","9","111","-49","-255","22","-33","-29","222","-268","66","4","178","50","-52","-242","-11","-414","-77","4","-20","-88","-51","96","133","37","-76","46","1","51","147","12","-16","457","75","73","3","-85","3","313","-236","83","104","-81","-21","98","1","-237","22","-166","-131","2","11","-18","55","-43","-7","174","16","129","54","-43","115","83","114","231","-7","17","141","-255","44","27","153","-271","-26","438","30","-193","109","-62","-122","-12"],"lmfdb":"agrees","derived":{"al":[[5,1],[131,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.219,"computed":"atlas","estimate":{"seconds":0.433,"low":0.264,"high":0.75,"bytes":2220028},"url":"https://sagebrush.space/atlas/mf/655.2.a"}