{"label":"771.2.a","level":771,"weight":2,"dims":{"new":43,"cusp":85,"eisenstein":3,"modsym":173},"old":[[257,21,2]],"T":[[2,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 3, 257, 771]: [0, 1, 22, 88] (certified at ell = 2147483137)","T = [(2, 1), (5, 1)]; h of degree 43 = 1 x 43 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"771.2.a.a","letter":"a","dim":2,"charpoly":["-1","1","1"],"traces":["2","1","2","-1","-2","1","-4","0","2","-6","-8","-1","-2","-2","-2","-3","-6","1","2","-4","-4","-9","0","0","2","9","2","2","-2","-6","0","-9","-8","-3","4","-1","12","6","-2","10","-10","-2","-10","-1","-2","-5","-6","-3","-6","11","-6","11","-4","1","18","0","2","-1","12","-4","-16","5","-4","4","-18","-9","24","3","0","12","-22","0","-18","-4","2","4","16","9","12","18","2","0","-16","2","6","0","-2","10","10","-6","4","-5","0","12","-12","-9","-2","-3","-8","9","2","-3","8","-20","4","-2","-6","-1","-4","34","12","6","4","6","10","1","-2","11","12","10","20","-18","-10","5","-12","-2","-4","25","-10","-14","12","-1","-4","12","-2","0","18","-5","-24","8","-6","-6","-12","-3","2","-19","-6","-16","-26","11","0","-10","-6","18","-10","11","-40","-9","-4","4","0","1","42","10","18","-8","4","0","16","18","2","10","-18","-1","-4","27","12","25","24","-4","-10","-18","-16","10","8","5","24","18","-4","-16","12","4","32","-16","-18","3","-20","-9","12","-20","24","16","4","3","0","14","0","-27","-18","12","8","2","-22","-28","0","0","0","-22","-18","16","6","-4","8","18","2","-18","4","4","28","10","16","0","-18","9","-24","-1","12","6","-4","18","24","50","2","-2","6","0","18","-10","-16","4","10","2","10","-32","6","7","2","0","-24","4","-2","26","-28","10","4","-12","10","-12","0","-6","-38","9","4","29","-28","-5","20","-27","0","-20","30","12","12","16","-12","-41","20","-9","-16","6","-2","-1","-30","-3","-22","20","-8","-38","-20","9","20","0","2","-18","36","-3","-8","2","8","-10","-10","-20","-8","-30","4","-21","-14","-2","8","-14","-6","10","-6","-1","38","16","-4","-10","12","34","-14","8","12","-18","-24","6","38","-12","4","12","-10","6","40","-10","10","11","32","1","-38","-22","-2","31","-10","11","12","15","12","-18","-16","10","-26","-30","20","-22","38","-18","-18","15","-10","-16","8","5","-14","27","-12","-30","2","-2","12","-4","-4","-24","-34","25","-36","6","-10","-14","-58","-14","0","0","12","-10","18","-1","-46","-9","-4","-33","42","12","20","14","-2","2","-28","0","-22","20","18","6","-24","-5","16","19","-24","-34","-20","8","-32","49","-6","0","-6","-6","32","-22","-12","20","-6","-3","-58","-10","2","-18","-10","-19","-10","-50","-6","-27","-28","-16","-50","29","-26","-8","-14","11","30","-22","0","-8","36","-10","18","34","-6","0","-20","18","22","3","-10","6","46","11","-48","-12","-40","-10","30","-9","22","-6","-4","-7","24","4","-52","42","0","30","32","1","14","20","42","18","-4","10","6","14","18","-15","44","-8","4","16","4","-20","0","0","-32","25","16","-28","-62","18","36","-24","2","1","-28","10","-6","8","-18","10","32","-1","-24","14","-4","-4","0","27","-36","12","12","-8","30","25","56","0","24","-40","24","-4","-2","-4","-10","27","44","-18","26","11","-16","-59","-2","10","-24","50","8","-3","-14","5","30","-36","24","10","4","18","36","31","-4","-10","4","-16","-36","-29","12","0","-20","4","10","-8","32","4","32","-16","16","20","-18","-35","-64","3","10","-46","-20","12","-22","-9","-12","-12","12","-5","0","-20","-14","0","24","0","-100","16","42","-4","4","68","66","3","66","-59","0","-20","50","14","32","0","0","60","-20","-27","-18","-34","-18","10","-36","12","80","30","8","23","64","2","6","9","-22","-30","-18","-28","8","10","0","-18","24","0","-58","19","0","-26","20","-22","-52","0","-18","-24","-36","16","-12","-2","6","0","24","-4","0","-22","8","-72","84","18","-18","4","2","-28","6","-18","4","-30","4","-25","0","4","-58","20","28","0","4","10","10","29","16","46","54","0","30","-9","-18","-18","-54","9","-8","-26","-24","10","-4","-1","-26","56","12","-40","-10","6","82","-42","-4","42","60","18","-16","-3","24","-20","-2","50","4","40","2","74","30","-2","-60","-4","6","-5","-96","0","8","-24","18","4","28","-10","76","3","-16","3","12","4","-14","-36","10","-9","0","2","14","-19","10","20","66","-32","8","-36","6","18","8","7","42","-68","2","-26","34","0","20","30","-24","-14","0","4","78","15","-2","9","60","26","60","10","-28","-6","-8","10","-24","-23","4","-21","22","-12","18","1","10","41","92","-12","-20","5","0","-30","36","-6","40","-2","-38","-4","-32","9","0","-6","4","20","-20","29","24","-20","-28","-22","10","-5","-66","48","20","16","18","-27","36","-16","0","-40","40","-20","-56","-26","30","41","24","12","-40","6","12","-33","20","16","64","36","-12","50","-12","-41","32","20","20","12","-24","-9","-22","-19","-16","-10","-18","6","-24","40","-2","-10","24","-1","0","-70","-30","-102","40","-3","28","-33","-22","-34","0","20","8","-70","-8","21","24","-38","36","-50","-20","18","0","9","12","20","20","40","60","0","-16","-12","2","28","-60","-18","64","-1","36","6","-24","-3","-40","-10","-8","-10","42","2","-28","56","8","9","-28","-10","-6","24","-10","38","-54","-20","-70","-24","-8","12","-66","-30","-10","-33","4","20","-40","-21","-22","26","-14","0","0","-2","48","-3","8","-13","-36","-14","-52","44","-6","18","-12","10","-4","-80","-6","36","16","-1","48","22","38","54","4","16","-80","12","-4","53","-42","-10","20","3","12","-4","-10","34","42","5","-14","12","18","8","68","12","12","-20"],"lmfdb":"agrees","derived":{"al":[[3,-1],[257,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"771.2.a.b","letter":"b","dim":6,"charpoly":["-199","-246","63","176","81","15","1"],"traces":["6","-6","6","6","-9","-6","0","-12","6","6","-6","6","-9","-6","-9","6","-6","-6","-12","0","0","21","-27","-12","3","-3","6","9","-33","6","3","0","-6","9","-21","6","-18","0","-9","3","-9","-6","18","-24","-9","24","-3","6","6","3","-6","-9","-6","-6","0","-3","-12","39","-12","0","-18","12","0","24","27","21","-9","-15","-27","15","15","-12","12","-12","3","-12","-12","-3","-15","9","6","21","12","9","9","-9","-33","6","-6","6","-21","-27","3","-30","-9","0","9","27","-6","-6","-48","9","-3","66","-21","12","-21","6","-15","-21","-18","9","-6","0","27","-51","-9","15","-33","3","-12","45","-9","-24","3","-6","12","-6","18","-15","-51","-24","6","33","-9","27","0","24","39","-21","-3","24","-15","6","45","6","6","54","12","3","0","72","-6","30","15","-9","48","3","-6","-9","33","-6","0","-9","0","-33","-12","-3","15","69","-12","27","9","39","60","-15","-12","3","-6","0","-39","51","-18","66","21","12","9","105","0","66","-30","24","9","30","27","-48","24","21","-9","-3","-9","30","24","-15","-21","57","-27","-45","27","15","-18","-6","15","90","36","-12","15","-33","12","0","-6","-12","36","-18","3","21","21","-12","-39","12","-12","96","48","-3","69","-12","-15","-63","12","9","-33","-3","6","-63","-6","21","42","15","12","-27","-27","9","-6","36","9","-102","6","-9","51","54","-33","0","-30","6","18","9","-6","-36","-18","6","18","-24","-21","27","15","-27","15","-60","3","66","-3","-30","-45","-39","-9","-21","21","0","36","-42","9","-51","48","27","60","-60","-6","-87","21","-6","-108","9","-48","-48","-6","9","42","-3","-3","-87","-6","66","-51","-12","-21","3","30","12","-3","-54","-21","-30","69","6","-45","-33","-15","-30","-33","-21","-6","21","-18","6","39","9","-3","9","-6","-117","-57","0","-48","-99","27","-45","-51","-51","-81","3","-9","45","18","15","18","-6","-33","-60","9","3","42","-39","-12","-66","-63","45","75","-36","-9","-21","15","-24","-54","-81","3","-186","54","-6","-21","-99","12","3","-3","-6","33","-6","18","-36","-6","-15","48","18","-51","-87","42","-24","-30","-9","6","-6","15","33","18","-30","-9","12","24","27","-15","45","0","-66","-69","24","-9","-36","39","-99","81","-21","-18","72","-3","-12","-60","24","18","-138","-15","-90","33","6","-6","12","45","66","51","6","-33","84","6","81","-6","54","27","-135","12","-9","42","3","72","30","0","-30","102","72","-57","45","-6","-45","-27","30","63","-69","15","-99","-30","-9","-93","24","48","12","36","3","6","111","-6","-21","-27","-9","-12","69","33","-21","-36","-6","45","63","0","27","-36","-9","9","72","0","-33","-42","-33","-39","-6","-12","18","-30","-3","30","-66","15","-78","48","69","9","150","-12","-6","30","27","-42","33","9","-183","15","39","57","30","60","-135","-102","-15","45","-153","-12","42","-90","3","30","3","-6","156","15","0","-27","42","-39","9","27","51","9","-45","-18","21","18","66","-48","6","21","48","69","12","9","-39","9","9","-78","105","-18","90","0","-24","-3","66","33","30","-30","-42","9","24","45","18","9","45","15","30","39","93","27","-30","105","-48","-159","36","24","108","-9","21","60","48","-9","75","57","-3","-69","81","-9","27","0","30","-39","-36","24","-66","-81","-15","-18","-120","-21","-75","12","57","-39","177","-27","-9","-39","-45","-60","18","27","-42","-57","15","21","24","-18","-33","18","-6","-42","-69","15","51","-33","90","78","-12","36","-168","-18","-12","-30","24","15","81","9","-33","171","27","12","-120","-12","0","-96","24","-6","33","84","-12","198","-39","36","-78","87","-18","21","-96","3","15","-9","21","66","48","21","111","66","-12","-105","-21","-39","72","42","12","69","81","-12","81","-129","96","75","36","48","-21","-96","-3","48","-15","69","51","36","-12","93","-117","-15","24","27","-63","36","93","12","9","-72","9","-54","-60","-33","51","3","-3","126","57","6","132","-36","-63","-81","-6","-6","-9","102","21","117","-51","42","156","69","15","63","90","12","117","-93","-27","21","222","-27","-21","87","9","96","-126","-6","60","-78","36","114","6","9","-24","12","-102","-93","-120","6","54","-111","-9","9","-39","51","-90","78","54","-30","-81","-33","-57","-114","0","-30","60","-30","-108","105","6","6","9","18","-45","-36","9","96","18","-6","-39","-18","-36","30","-156","-18","114","-39","6","12","-93","18","-21","-93","-24","-99","135","-21","-147","63","27","-42","-21","15","-93","-69","-27","-93","-135","15","0","108","-60","42","126","3","-162","-51","66","87","-48","-3","-81","-99","-30","102","12","-45","-129","60","-39","-72","90","-9","117","-36","-21","-27","117","21","135","-36","0","36","-54","36","-138","84","-42","30","-21","9","-9","3","-51","0","78","48","-63","-75","27","57","-141","60","87","-66","-60","-42","12","-6","189","-87","-87","12","30","21","63","114","-6","-198","-105","-108","-156","78","9","132","-15","-48","-60","-69","-48","-6","30","-6","-12","3","9","-24","6","42","-54","-15","-3","51","-99","-3","18","-114","-87","-27","120","-6","51","105","66","69","105","-51","-147","-24","-12","45","-3","-21","18","-96","3","-24","-51","30","18","-3","12","42","57","-3","-42","117","-54","105","147","-21","-60","-18","-30","-39","111","69","-12","111","6","96","-135","-45","-72","87","-33","-3","-33","-15","-117","63","-30","-18","-12","-33","-165","-216","-21","-9","45","-6","15","-66","21","-66","84","-18","117"],"lmfdb":"agrees","derived":{"al":[[3,-1],[257,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"771.2.a.c","letter":"c","dim":8,"charpoly":["-1","11","-38","45","4","-30","1","6","1"],"traces":["8","1","-8","5","-7","-1","-6","6","8","-14","0","-5","-15","-8","7","-5","-2","1","-16","-14","6","-8","17","-6","1","-8","-8","-27","-17","14","-17","3","0","-10","19","5","-22","-8","15","-33","-23","8","-18","-17","-7","-29","23","5","-16","16","2","-22","6","-1","-26","-19","16","2","-14","14","-46","15","-6","-24","3","8","-1","-6","-17","35","19","6","2","2","-1","-16","-6","8","-11","-17","8","21","26","27","-19","27","17","20","-24","-14","-11","52","17","2","49","-3","-23","4","0","67","-36","10","-25","-14","-19","34","15","-5","-37","41","22","-1","-8","8","-3","-20","-15","6","3","33","-8","11","23","29","-27","-8","12","7","18","65","-13","17","6","-29","7","35","52","29","-37","93","-23","4","51","-5","-5","21","16","-34","-18","-16","-4","-44","-2","26","3","22","-60","18","-6","23","-19","1","0","-13","26","55","24","19","15","43","-16","5","-21","-2","-28","36","14","56","-10","-14","-55","87","46","4","19","-15","1","41","6","70","30","24","1","8","-3","55","-2","-8","-9","105","1","-36","38","6","-1","-21","17","28","-39","-35","-14","76","-19","72","-26","-6","-9","7","-2","-24","-14","-2","-20","-38","1","27","33","16","-69","-44","6","-44","6","-8","-7","-11","11","-5","40","17","-41","-29","-8","-89","-50","-21","-16","41","-26","-85","-9","-27","-36","-4","19","41","-8","-27","15","-18","-17","-14","68","-20","26","29","24","40","-74","14","20","11","11","-100","23","-52","-53","-111","-17","86","-19","-2","27","-13","-49","-6","41","3","-24","112","23","60","-52","-4","2","-68","0","37","-33","-67","-32","-83","36","-40","80","-10","18","-19","25","-99","-10","14","1","-20","19","-22","26","-34","9","-32","-15","56","21","5","-55","43","37","20","-93","-41","42","49","-22","-12","-29","1","-7","-63","8","3","-61","-8","-36","-5","3","58","27","20","17","-163","15","16","26","-6","-2","-19","-3","-42","-37","-33","52","-65","8","28","-55","-11","3","-123","-23","111","-37","-29","-32","-54","27","32","2","8","-41","127","-12","189","69","-7","-11","4","-18","-66","28","-65","0","64","13","-73","58","-17","88","-8","-6","85","-9","29","30","-90","-7","56","48","-35","-25","-7","-52","-64","-37","-29","-53","43","37","-41","15","-93","-56","5","23","20","32","-4","100","-78","-51","86","-61","5","24","-68","5","30","-91","-21","-15","-58","-16","-38","6","34","-9","40","18","47","-34","16","-22","-32","4","78","-8","44","81","-41","2","29","-51","-26","-1","-100","-3","43","-18","-22","-19","-96","60","-70","-4","-18","-106","-41","6","-60","73","-23","86","-41","19","-39","-34","-1","9","-115","0","-27","40","13","15","-42","-26","96","72","-55","29","-140","-24","70","-4","-19","30","19","-15","-6","-138","-43","7","-90","16","-1","120","-5","16","97","21","89","1","2","-75","-48","28","29","44","-36","77","-255","-14","126","-44","-56","-22","53","10","-132","47","14","23","-14","55","-56","-29","-87","43","14","-46","82","48","-4","80","-60","-19","41","73","15","21","71","-1","15","-2","-41","56","-149","-6","-22","-11","-70","37","113","-30","-106","41","-24","-1","0","-1","139","-111","-8","-39","53","3","103","91","-55","-65","100","2","-48","21","8","-20","12","9","58","45","-105","-59","5","-1","-35","54","36","13","-42","-38","138","41","-6","-20","59","1","-5","-40","21","-49","-155","-17","17","61","-28","126","38","39","-136","-73","35","37","-40","14","2","62","-76","100","-90","19","53","57","-72","54","-64","26","122","72","6","16","67","9","-15","9","-7","23","71","2","-4","46","24","-26","-28","14","71","-102","2","6","47","20","-40","-59","38","-13","-42","-1","103","9","-27","38","-54","-33","102","90","-16","97","63","69","-38","-116","44","5","-34","-6","-129","157","44","55","-21","-6","-207","-30","8","68","43","7","45","82","11","-49","-47","-11","12","17","5","102","-93","-40","61","84","-17","130","297","41","-53","-49","29","-58","5","8","-144","80","89","-23","50","50","114","96","21","97","103","16","-212","29","-41","-49","-187","26","56","75","85","-27","52","9","-18","59","27","128","55","36","196","8","4","-14","-16","-19","158","204","-41","9","30","8","24","45","27","125","9","-15","-94","60","18","0","-34","17","36","112","14","54","70","-68","-18","5","20","94","-10","-26","42","22","-29","-48","63","-24","-146","48","-40","66","13","74","-14","39","-14","-30","129","-20","-45","-9","-11","157","125","-11","1","-5","100","-54","-179","-23","205","-11","52","29","-125","53","40","54","111","-30","-82","17","-50","-47","-86","-1","112","19","16","89","2","36","72","-27","22","-76","13","16","96","49","5","-32","6","5","-35","-41","9","20","-3","-4","-9","24","-98","-166","-112","-22","-7","-23","-71","105","-60","-44","70","52","35","67","4","-123","72","-2","-15","-92","68","-106","-114","0","26","-5","-37","-4","104","33","23","-110","67","-176","27","32","-116","-42","83","24","-69","-36","-140","1","40","-46","63","-80","52","53","10","42","-34","-18","-118","-115","19","-117","9","-25","-121","84","99","-25","176","10","-25","-51","-14","-19","-33","-1","-191","-90","20","-129","-72","-19","-178","-40","22","-82","-277","-26","40","-49","34","-122","56","-9","141","-53","32","69","-37","15","-170","-168","-56","-87","-43","-21","208","-63","-5","-48","-39","55","6","-39","-43","-23","-213","-37","144","91","-20","82","-61","93","-41","-102","41","-57","46","-42","-61","-50","-49","-66","-78","22","-251"],"lmfdb":"agrees","derived":{"al":[[3,1],[257,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"771.2.a.d","letter":"d","dim":13,"charpoly":["-4658","4538","35313","-78164","38237","32856","-39222","9306","3502","-1989","169","68","-16","1"],"traces":["13","5","13","13","11","5","-2","12","13","6","4","13","7","6","11","5","22","5","2","16","-2","-8","21","12","4","-2","13","-15","21","6","5","19","4","-18","-1","13","2","0","7","-5","15","6","-12","-27","11","-13","15","5","-3","-4","22","-32","20","5","-18","-9","2","-34","6","16","32","-9","-2","-30","24","-8","-23","26","21","-29","0","12","-12","-4","4","-2","38","-2","-13","-29","13","-25","31","-15","-3","-5","21","-24","30","6","-31","6","5","-36","29","19","-9","-24","4","-51","51","-18","-21","-24","-1","10","-3","13","27","5","2","-41","20","0","-27","-12","7","-2","-25","-5","-7","-13","15","7","6","6","-40","15","-12","5","19","-27","-22","-31","11","-5","10","-13","-27","-39","15","-50","-15","5","-13","-5","-3","-28","42","-4","-8","-44","22","-38","-28","-32","-10","-4","20","-41","-31","5","-46","-15","-18","43","2","-9","-34","-79","2","-41","55","-34","-44","-56","6","-8","-12","16","9","-71","32","-28","-43","-9","-71","-47","-2","-14","21","-30","-34","50","24","19","-10","-8","-28","-19","-23","-34","-14","26","-2","-65","21","30","9","-29","-32","-22","0","-8","-6","12","-39","35","-12","-10","46","-4","-39","-64","4","43","25","-2","27","16","38","-44","15","-2","-60","41","-13","49","50","-29","25","-131","13","81","18","-25","-76","41","31","33","-29","-15","-20","-20","-3","15","-13","-5","-45","42","21","0","94","-24","-5","65","30","-46","54","6","-18","37","-31","136","-37","6","37","-7","5","6","38","-36","-8","25","29","-50","21","19","67","-34","-9","-22","52","-24","-4","-40","4","31","45","-51","-44","21","51","-6","-20","-18","-28","129","-21","-15","22","-24","3","-48","-1","116","86","10","-15","-110","-3","38","-19","13","94","25","27","22","21","5","-52","-31","2","178","32","-41","5","47","20","41","37","0","-22","3","-27","134","-25","-12","110","-121","7","24","38","-2","46","53","-25","38","35","-5","33","61","-7","-4","63","-13","-37","-45","15","51","-3","7","-2","52","6","24","4","6","-59","-85","-40","79","47","15","73","-88","-12","94","6","5","20","-40","19","15","-27","-27","10","-6","-22","5","-5","-31","-37","86","11","210","84","-5","89","-5","10","-68","65","-13","-33","-13","-27","215","-21","-39","12","-49","15","114","62","-50","-86","80","-15","138","1","5","-25","114","-13","204","-5","-5","53","-60","-3","50","2","-28","5","-56","42","111","42","-4","28","-4","-8","46","-42","-44","-13","-55","22","243","90","-38","-61","-52","-28","123","-24","-32","133","72","-10","34","-40","-4","-74","-159","20","92","41","-41","76","-41","-31","-7","-20","5","-55","141","-46","19","-42","-15","95","-68","-18","70","26","43","-74","-20","2","68","46","-9","22","-5","-34","-26","-70","-79","-61","-112","2","-5","-82","-41","44","-67","55","57","9","-34","-1","112","-44","77","-100","-56","150","-53","6","-98","-7","-8","-65","-103","-12","196","-171","16","53","-12","9","196","-9","-71","-103","96","32","-14","16","-28","-56","-16","-43","-57","59","-9","13","-17","-71","-141","-114","-47","174","-133","-2","-4","43","-14","-53","-49","21","158","-79","-30","-43","12","-34","-95","-71","50","-59","-69","24","287","-93","19","85","-98","-10","-26","-67","-8","-12","72","-28","78","39","-19","-33","-77","-23","77","4","-34","-77","88","-14","-24","-186","26","-23","43","-2","41","-146","-65","-91","-219","21","-23","-19","30","35","-72","9","142","53","-29","-133","46","-32","18","-44","-22","6","120","0","7","-21","-8","-88","-84","-6","-104","-62","12","108","-9","-39","-79","-15","35","-62","-29","-12","168","40","-10","-46","0","46","111","-122","-4","-22","113","-39","0","-73","-64","-31","-114","4","-47","83","43","-58","-54","25","-14","-64","-2","13","63","27","-60","0","16","17","-30","38","-21","2","-44","-119","165","15","27","-70","-2","-148","99","-60","-41","-128","41","21","-167","-13","52","-41","49","-92","-87","50","-19","-14","-29","-42","3","25","113","-99","-131","-92","-131","13","144","-188","81","15","120","18","-54","-14","-25","-89","137","-76","-92","41","41","-8","-43","31","-92","17","33","-75","-94","-29","90","-73","-15","-38","181","-20","12","-82","-20","-182","20","-3","70","0","15","147","-12","-13","-106","-139","-5","-143","125","-45","88","-98","42","108","-316","21","-90","-123","0","-186","62","94","2","3","-24","-51","26","-5","-84","-2","65","-26","-179","30","-42","50","-46","-66","-15","54","-10","19","6","26","-29","-18","-19","-249","37","-27","57","-31","-131","75","136","-120","35","-37","-31","-9","6","47","81","37","-114","66","-7","-104","-100","5","162","119","6","-82","-104","38","6","57","-36","-234","212","-8","-6","-98","25","120","70","29","13","78","-50","-25","163","21","-171","-72","19","38","129","67","68","88","-34","-116","59","-9","-53","-31","-22","-2","28","52","-59","-20","-24","-141","96","-4","-127","2","-40","106","-140","4","-72","55","31","-45","36","45","-31","146","-51","134","-3","-44","-48","-122","21","-66","53","51","-148","23","-6","-146","7","-20","-14","-75","-18","-26","220","-28","20","27","129","111","-207","-21","95","34","-15","31","142","22","3","-85","-24","15","239","3","-83","-46","-48","-71","22","-1","28","-158","116","113","129","86","-168","-53","10","-94","118","-15","-99","13","-110","-10","67","-3","124","208","38","-147","-127","-19","-76","-1","13","102","457","94","144","13","25","-3","129","27","-120","4","22","112","-35","21","-187","216","5","-133","174","-52","-157","-96","-31","16","-50","2","35"],"lmfdb":"agrees","derived":{"al":[[3,-1],[257,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"771.2.a.e","letter":"e","dim":14,"charpoly":["901802","-1058036","-940893","1258461","314495","-556529","-22144","112886","-6824","-10655","1152","455","-60","-7","1"],"traces":["14","-2","-14","20","9","2","4","-3","14","10","-2","-20","17","6","-9","28","2","-2","16","12","-4","8","-23","3","31","2","-14","3","29","-10","17","-18","2","20","3","20","24","-14","-17","39","21","-6","6","-15","9","11","-5","-28","38","11","-2","42","-2","2","10","23","-16","20","4","-12","82","21","4","45","16","-8","13","-30","23","11","8","-3","30","-28","-31","30","0","-2","35","29","14","17","-21","-3","3","-29","-29","-24","28","10","3","-58","-17","8","-25","18","15","-29","-2","54","41","-20","-11","-22","-3","-24","-21","-20","43","-79","-24","-53","-24","14","-3","-4","17","-42","-25","-39","30","-51","-21","-17","66","6","16","-94","-6","-133","5","15","30","-13","-9","-23","-6","-11","-3","-73","5","-44","15","28","19","-49","-38","-50","12","-11","-40","-94","2","-72","-44","-42","8","-148","2","17","-3","-2","-4","9","-10","-89","-54","-23","53","-19","16","-81","25","-20","-36","-72","-4","-62","-40","12","61","-41","-82","-12","23","-21","-15","7","-4","-130","-61","-45","16","-50","-16","-74","-2","8","48","-22","-13","-58","-4","30","102","67","-23","4","49","-11","32","4","-8","58","-4","3","57","-33","-30","-50","52","28","17","150","31","-63","-3","-30","27","-42","0","-38","-5","2","32","51","-35","-59","-42","-29","83","16","-14","163","34","-17","32","57","21","-29","11","3","60","52","-3","-106","14","29","79","158","29","-4","-116","24","35","21","-28","30","132","-10","26","-63","-3","42","7","58","35","61","17","30","-20","-8","48","15","25","22","-51","-18","-22","110","-15","16","60","29","16","98","2","-77","23","-54","28","-67","-41","24","42","20","0","-65","11","-5","-68","22","25","108","3","88","2","24","21","-20","21","-58","43","20","8","-43","-43","48","49","79","-18","-3","24","-46","-34","53","9","-80","24","-59","103","-14","14","35","3","-132","-87","4","20","175","-17","-16","-34","42","6","91","25","-22","-99","39","26","71","-30","8","45","51","-3","-79","21","-117","-51","17","40","156","-66","-24","-46","-6","25","-3","-16","-31","-55","94","-159","98","6","12","44","133","20","45","-5","25","77","-15","-20","60","-30","146","63","13","-21","306","9","-40","-116","23","-41","-85","6","-80","33","11","-117","-15","3","107","73","73","24","27","-5","40","-50","44","48","162","-15","-50","-43","-28","-23","44","-19","-96","-17","49","29","-20","38","98","-122","50","-61","166","-12","-41","50","11","-8","-158","40","-18","-88","94","-67","183","-2","-191","-22","72","-19","92","44","-171","-42","42","43","0","-8","-42","-42","148","-68","15","-2","84","37","-17","50","97","3","108","-14","2","-121","-63","4","-67","22","-9","75","-32","10","-58","-44","89","2","250","54","-72","-128","23","82","-1","-53","78","76","19","1","-25","-16","-2","16","81","-48","65","-25","-225","101","20","7","116","36","-71","-166","72","-141","277","4","-62","-9","62","-13","-89","40","-10","33","-12","43","-80","-61","30","-37","41","17","286","82","-138","-68","12","-120","150","-23","-17","-61","21","7","45","15","-3","42","-7","12","177","4","-24","-23","130","-25","115","61","190","-131","45","-17","-53","-16","-77","3","50","-93","69","16","-127","-55","74","-19","252","2","-164","83","-8","-176","50","-48","98","27","22","-15","31","13","-121","-36","58","-11","18","4","116","12","-30","-45","129","-102","-305","-38","-67","-97","-59","23","-89","-135","-4","-148","56","-49","136","57","11","35","-332","-32","-64","116","-4","-52","258","8","-27","-79","-58","20","-42","4","60","-108","-3","12","-171","-57","139","11","33","-118","93","30","68","-62","50","18","-222","-52","-131","-156","-28","-78","-63","-17","-38","-139","-150","43","162","-31","-26","73","63","6","-46","3","-230","-36","30","-27","-205","-27","-238","-98","42","-77","44","0","-49","-148","38","-81","43","5","-105","-32","-2","64","-201","-32","125","-74","-51","-81","-161","35","-178","-25","59","-4","-199","42","79","38","29","-58","-42","-83","-25","97","-16","-144","317","14","98","2","-163","-33","-84","-34","34","-204","17","47","-121","-32","-152","-63","-57","-104","-125","-21","116","-27","29","-69","-116","-11","50","-61","-3","90","-11","-60","-520","88","-52","2","-86","3","-190","-300","106","-175","-102","-14","232","69","-29","81","-243","-79","116","112","-158","20","116","-29","-71","-15","4","26","-208","116","-138","39","-24","-31","0","-35","40","20","-21","64","-98","28","-152","-32","-30","38","109","-132","86","-49","10","92","-221","-26","-51","-117","63","-107","179","3","345","29","-42","164","281","-7","-103","-33","-58","105","-145","-35","16","88","-61","12","280","-17","222","-105","-30","85","-112","20","-150","243","8","148","32","-48","20","-22","-15","62","148","-25","75","-100","-22","67","91","51","135","8","18","-172","-125","22","222","-24","-110","128","-177","15","255","-49","-16","-76","-14","-60","5","62","-29","-13","-26","-16","-87","124","-98","-230","16","-2","-96","-63","77","47","68","-23","125","-22","54","80","-219","-28","198","86","67","158","175","41","-32","-3","-24","54","119","-42","-62","31","-20","-32","-246","0","-16","-19","65","-19","-47","-11","-155","-142","5","183","-124","68","265","-23","-22","67","73","-25","277","288","-108","-59","102","-3","-136","-138","-88","-15","-291","-2","-74","-45","-24","6","-144","-21","81","7","20","-57","-5","-21","186","66","58","169","242","-43","72","165","-20","-10","-153","-8","274","-55","43","217","-101","43","92","-16","-48","60","-71","-49","557","-128","-79","57","150","18","-69","114","3","114","300","-24","35"],"lmfdb":"agrees","derived":{"al":[[3,1],[257,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.243,"computed":"atlas","estimate":{"seconds":0.524,"low":0.319,"high":0.906,"bytes":2290598},"url":"https://sagebrush.space/atlas/mf/771.2.a"}