{"label":"955.2.a","level":955,"weight":2,"dims":{"new":63,"cusp":95,"eisenstein":3,"modsym":193},"old":[[191,16,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 191, 955]: [0, 1, 17, 98] (certified at ell = 2147476141)","T = [(2, 1), (3, 1)]; h of degree 63 = 1 x 63 (phi(ord eps) x dim S_k^new); 7 primes, 0 rejected"],"newforms":[{"label":"955.2.a.a","letter":"a","dim":1,"charpoly":["1","1"],"traces":["1","-1","0","-1","-1","0","2","3","-3","1","-4","0","2","-2","0","-1","2","3","-4","1","0","4","4","0","1","-2","0","-2","10","0","-4","-5","0","-2","-2","3","-8","4","0","-3","6","0","8","4","3","-4","-2","0","-3","-1","0","-2","4","0","4","6","0","-10","12","0","10","4","-6","7","-2","0","8","-2","0","2","16","-9","16","8","0","4","-8","0","-16","1","9","-6","2","0","-2","-8","0","-12","6","-3","4","-4","0","2","4","0","-10","3","12","-1","-2","0","4","6","0","-4","4","0","10","-4","0","-2","-8","0","-4","-10","-6","-12","4","0","5","-10","0","4","-1","6","2","3","0","2","-12","0","-8","-8","0","6","12","0","-8","2","0","-16","-8","3","-10","-16","0","8","-14","0","4","-12","-6","8","4","0","-8","16","0","5","8","-9","20","-6","0","-2","2","0","-9","2","12","-8","16","0","2","4","0","-6","0","-3","-2","-4","0","12","8","0","-8","2","0","-4","1","0","-10","10","0","3","-6","-12","-24","3","0","2","20","0","-6","-4","-12","-2","16","0","20","-4","0","-4","-8","0","-8","-10","0","-4","4","0","-28","-10","-3","8","0","0","26","4","0","30","-4","6","2","-12","0","-4","0","0","10","-5","0","-10","3","0","-8","-12","0","1","12","6","-16","-2","0","-17","-12","0","-16","2","-30","12","-16","0","-4","8","0","-8","14","0","-32","-2","0","-12","-4","0","-22","8","12","-6","-6","0","4","-16","0","8","12","15","-13","10","0","-16","-6","0","-12","-24","0","14","8","0","16","-4","0","4","-10","6","-6","8","0","-4","0","0","28","8","6","16","24","0","-40","-7","0","-8","-8","-9","2","-20","0","18","-4","0","-12","-2","24","-2","-8","0","0","9","0","2","16","-12","-20","24","0","-16","-4","0","30","-2","0","20","34","0","-16","-6","0","0","32","9","-3","2","0","-4","-16","0","10","-4","-18","-8","8","0","-20","8","0","-6","20","0","16","-4","0","-1","8","0","8","10","-24","10","30","0","8","-9","0","6","16","-12","-10","24","0","-1","10","0","-8","2","-9","-20","32","0","14","6","0","-4","24","12","-2","-10","0","-16","0","0","30","-20","6","12","2","0","20","-4","0","8","8","0","6","8","0","-10","-16","0","20","12","9","-4","-6","0","-6","28","0","14","-30","3","-24","8","0","0","-4","0","22","-26","0","4","18","0","8","-10","0","4","36","6","16","-2","0","36","-32","0","-4","-4","-12","0","8","0","-16","-10","0","-5","10","0","-42","30","0","-3","-20","0","20","8","-12","4","32","0","-20","1","0","-12","-32","-18","2","16","0","-2","2","0","32","11","0","12","-4","0","8","16","0","-6","-14","30","-34","12","0","16","-8","0","-7","4","-36","8","12","0","-4","24","0","-14","12","0","14","32","0","-10","-10","0","-26","-12","-30","4","-40","0","-32","22","0","8","-24","-12","16","2","0","6","-34","0","8","-4","18","48","34","0","24","8","0","-12","4","-21","42","13","0","10","4","0","-16","48","6","6","26","0","16","12","0","8","6","0","-4","14","0","-8","-8","0","-2","-16","-24","-4","-5","0","0","20","0","10","-4","6","38","6","0","-24","16","0","28","-4","0","0","12","0","1","-28","0","8","-16","-6","-8","-48","0","-24","-2","0","-6","40","-48","-3","30","0","-50","-8","0","8","-42","27","-48","-2","0","-20","26","0","12","-6","-48","4","-36","0","-14","12","0","6","8","-24","40","-2","0","8","-40","0","22","0","0","9","22","0","-20","-6","0","-16","-50","-12","-12","20","0","-8","8","0","28","-16","24","4","8","0","12","-30","0","-2","-42","0","32","-28","0","-34","-4","0","10","16","48","18","-16","0","8","0","0","-32","16","-3","8","3","0","2","10","0","40","12","-27","16","16","0","-10","-10","0","-20","-32","18","0","-8","0","-8","-32","0","14","20","-6","8","8","0","-20","2","0","-20","-4","0","30","-16","0","12","-30","0","20","-1","6","-8","24","0","-2","-8","0","10","30","24","-4","-30","0","-30","-24","0","-64","-8","0","3","8","0","32","6","0","-16","-16","36","20","10","0","24","40","0","-4","-5","-18","-10","-64","0","-8","8","0","-6","-10","9","20","-20","0","-32","-20","0","-32","-14","-12","6","18","0","-48","12","0","-24","-6","12","-6","2","0","14","-6","0","-2","-16","0","0","-8","0","71","-30","0","-20","9","-6","10","-4","0","-2","-32","0","-44","-20","-12","12","-52","0","-52","8","0","-8","10","0","-16","-6","0","8","64","0","16","30","30","16","-2","0","-44","-20","0","-4","46","-9","46","-4","0","6","-18","0","4","6","-36","28","8","0","0","6","0","30","-40","3","8","24","0","-24","2","0","14","0","6","4","48","0","-8","-22","0","-26","-24","0","20","-12","0","-18","32","0","-8","-8","-12","-50","-6","0","12","4","0","-36","8","-18","-4","-16","0","-2","14","0","24","-12","0","32","30","0","32","4","0","12","24","12","-1","0","0","-8","24","0","-15","16","-12","-10","10","0","32","15","0","-10","-52","0","-16","42","0","-10","-12","0","-24","-3","-30","20","6","0","6","-20","0","8","32","12","16","20","0","-32","24","0","8","20","0","-3"],"lmfdb":"agrees","curve":{"cremona":"955a1","lmfdb":"955.a","ainvs":[1,-1,1,-1038,13292],"rank":0,"torsion":2},"derived":{"al":[[5,1],[191,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"955.2.a.b","letter":"b","dim":2,"charpoly":["-1","1","1"],"traces":["2","1","-2","-1","2","-1","1","0","-4","1","-6","1","3","-2","-2","-3","-9","-2","10","-1","-1","2","-12","0","2","-6","10","-3","0","-1","-6","-9","6","-7","1","2","-4","0","-3","0","-1","2","13","8","-4","-11","-14","3","-11","1","9","-9","-7","5","-6","5","-10","15","0","1","-16","-3","-2","4","3","-2","1","2","12","-2","-21","0","-22","3","-2","-10","-8","6","10","-3","2","2","3","3","-9","4","0","-10","15","-2","9","1","6","-2","10","9","-14","-8","12","-1","-6","7","-12","15","-1","-21","1","-5","20","2","4","6","-7","0","-12","15","-6","-20","-2","0","6","-3","1","3","2","4","6","25","-13","-6","9","-8","10","33","10","5","-9","11","30","-3","14","-18","-24","6","0","-1","11","7","-15","-1","39","10","18","6","-6","9","-34","20","7","-9","-1","1","-12","3","6","29","6","-5","1","-7","-20","-9","28","-15","1","-6","0","25","0","2","19","-3","16","10","-4","3","22","12","5","0","2","-4","-7","-2","-3","3","-14","-4","-5","0","-1","27","-15","-2","-1","-21","24","18","-40","2","4","-14","21","33","13","0","-3","25","22","8","-6","-3","-12","-7","-4","-21","6","10","-50","-11","8","-30","-7","12","-14","-20","-10","9","25","3","-1","-27","-32","13","-11","-2","30","0","-3","1","-6","6","26","-27","9","7","6","-4","-7","-9","0","-33","-2","10","-7","-10","-15","32","15","5","-6","21","-9","23","-6","-1","-24","15","12","5","-21","2","18","3","-10","18","-3","18","9","15","14","21","13","8","0","-10","-30","-40","-3","1","9","12","6","0","-16","14","56","14","12","-3","-6","-15","-42","-12","-2","10","-29","21","30","4","-1","12","-40","-1","3","-36","-20","-5","-12","-2","-41","26","8","3","1","-6","-4","-22","7","2","18","0","-10","5","12","24","-34","-15","-20","-2","15","32","-12","20","-21","10","2","-25","0","0","22","-13","-6","-12","-22","3","-29","33","2","3","14","-3","3","-4","-2","-10","-45","-10","-35","-10","-6","1","-7","-25","-8","4","-26","12","-45","6","59","5","-9","-17","10","-16","-24","50","-10","-3","-1","-33","-9","33","2","0","22","-5","20","2","9","-9","20","22","3","-21","-30","20","-30","3","34","27","28","35","-9","18","-13","32","24","4","24","-15","13","6","0","5","-50","1","55","-10","22","27","3","-7","15","9","15","-3","10","-2","8","-14","-39","13","9","-10","26","-15","-45","1","39","-6","-17","-45","6","-46","-9","18","-32","-2","34","40","-44","-20","10","11","14","25","0","9","-21","-38","1","-33","-14","-16","-19","-10","12","-8","-11","-3","-15","-30","12","9","-3","-29","-25","-1","-6","47","13","-10","-6","-2","-1","-33","50","7","-21","-24","50","-47","-12","9","52","4","-28","15","14","-30","-32","-42","-1","-56","27","6","36","-21","0","-20","-9","-25","1","-65","0","0","28","-5","-16","-3","-19","38","20","3","16","32","32","2","-30","-10","-10","-57","4","-15","-24","6","27","6","-22","22","18","-12","-7","39","1","15","0","0","49","42","-2","1","-12","-8","11","27","7","15","-26","2","-14","-20","-6","19","11","-3","-30","-20","14","-9","-72","10","-2","-25","5","36","0","0","14","-13","-2","-27","6","-27","41","-50","15","-3","-36","-4","-2","13","1","-20","-29","21","25","3","-60","12","-10","-18","2","-21","40","22","13","4","49","-30","-4","-42","6","14","-9","-30","42","25","-6","-33","-32","13","-13","-10","36","0","-40","-6","3","-24","-67","-25","9","-6","44","14","10","-8","14","-28","6","-55","10","-6","-30","-3","12","33","58","7","-37","28","10","-23","-24","21","-12","5","-6","-6","58","20","-9","25","50","-12","42","11","29","-4","16","8","30","30","2","10","7","-3","-36","-30","-30","-2","14","-46","-33","20","60","-18","-20","-35","36","-9","-24","-25","-25","-60","-75","6","9","-39","1","-32","0","27","31","15","26","-1","-56","-13","-37","-37","11","49","62","-4","50","7","-30","7","-2","0","-15","24","-6","-26","-32","-1","39","6","6","0","39","-15","1","10","-26","10","39","27","-5","-1","18","9","60","-7","5","6","-6","11","13","-8","-6","-10","7","-35","-10","9","48","67","0","24","-34","33","1","-3","2","20","14","20","-39","-12","7","55","36","10","58","-9","-30","12","86","-32","-1","18","-15","-60","-15","1","54","15","6","-14","-12","-21","70","-20","-18","3","-76","-23","23","30","6","0","-4","-2","-30","29","24","-9","52","-15","6","60","-30","-55","-20","-5","32","62","21","23","1","4","33","63","-18","-7","14","-3","38","16","-20","-65","21","-18","-20","-9","3","-23","-12","-45","28","-16","-9","9","0","-15","-96","-30","28","-20","1","-21","36","15","-13","-6","-1","16","8","33","0","4","-9","10","33","25","-6","21","-80","40","0","10","3","-35","0","2","49","-6","-9","35","19","-12","26","7","12","-3","44","0","46","28","16","35","42","-35","70","10","-56","-3","-9","-14","-4","-51","24","15","75","3","-50","-39","6","18","22","-30","-29","-1","42","12","39","12","1","60","5","18","-14","-10","-63","0","29","-20","-42","42","2","0","-30","15","-32","-4","-44","12","-2","-37","-7","-12","31","60","40","-2","54","16","15","-17","-3","9","66","36","-10","3","-40","-8","-72","5","-14","-75","12","-60","-73","-4","9","27","41","21","-5","-26","16","10","-20","0"],"lmfdb":"agrees","derived":{"al":[[5,-1],[191,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"955.2.a.c","letter":"c","dim":12,"charpoly":["-1","-27","-219","-507","671","2418","1279","-667","-588","-34","55","14","1"],"traces":["12","-9","-5","15","12","-1","-11","-24","13","-9","-7","-16","-33","0","-5","25","-24","-19","-8","15","-23","-5","0","15","12","12","-26","-18","-41","-1","10","-22","-19","38","-11","46","-26","1","18","-24","-18","46","-26","-8","13","33","17","4","39","-9","-7","-49","-44","25","-7","0","-31","9","-9","-16","2","3","9","32","-33","11","-9","-47","-32","0","10","-111","-14","-26","-5","19","-57","73","-5","25","-4","-2","2","-45","-24","-59","7","39","-23","-19","17","-13","-11","20","-8","-7","-45","11","-12","15","-37","-78","15","42","-23","77","-43","19","-47","-5","54","-41","-37","6","0","-89","-79","29","26","15","39","-61","24","11","12","-21","-29","-67","27","12","24","21","-12","-14","-26","84","-28","75","-2","-18","-36","58","65","143","-41","-10","19","67","-65","-1","7","-47","-28","74","10","-25","1","-38","63","-22","21","3","31","3","-19","9","-36","222","67","38","109","14","-53","103","-11","-38","-33","55","66","46","4","-12","55","58","-26","35","44","50","-40","1","12","-3","-12","25","18","131","-103","119","60","-24","32","53","72","161","-18","-39","-15","-60","40","46","24","-205","-10","83","-26","76","-112","82","3","-8","-35","58","16","85","13","77","-23","76","73","33","98","171","8","80","17","82","79","146","-81","4","-4","-9","-28","42","39","54","-9","66","22","-9","42","12","-80","122","-7","-13","0","75","-37","-49","-85","-25","-64","46","-44","-47","75","33","-5","25","45","-140","68","-63","-7","-231","-25","60","-24","0","-75","-107","-17","-93","-31","-33","52","-131","32","9","-2","12","-108","-59","-9","-79","-25","136","-55","-16","13","-71","24","16","2","120","-47","-86","-105","3","-18","70","-34","70","9","26","-82","-86","16","32","1","-84","32","-58","-33","-39","120","135","5","11","35","0","-3","68","-9","-269","-46","62","7","-47","44","-105","-19","-75","-32","-19","5","-43","37","0","49","14","11","120","10","-59","75","-5","-27","-111","28","-19","1","178","-14","-133","39","19","-22","-26","8","-81","14","-113","-5","-29","154","190","54","19","87","-9","-47","24","-57","16","71","-104","-101","73","14","-234","-50","6","-5","-144","54","-70","-126","25","-20","-69","14","23","-4","7","-10","-128","45","-2","43","-17","-86","-137","2","111","-34","157","2","-45","-13","-39","74","203","-24","32","26","-39","46","-59","-71","-62","-122","-13","7","-126","-79","149","-41","39","5","-53","27","-136","-23","12","8","-27","-27","-19","-62","-37","117","-24","17","-53","-106","-51","135","-13","-50","-148","-83","-153","-11","34","21","-147","33","20","-20","-4","39","-134","-8","-205","-67","-49","-81","-7","88","-87","10","-86","-45","-55","99","-60","32","11","69","-203","19","171","-12","-151","82","76","49","15","114","-77","71","-13","-37","-82","25","-129","-113","-78","106","-5","-139","134","15","25","7","3","-44","42","-37","32","-22","137","-23","-90","-45","-88","54","77","-48","74","-72","-204","-43","-133","121","-79","-155","19","59","111","-68","102","-47","-400","1","58","-85","-5","-40","138","13","70","54","-219","-49","182","46","-41","63","118","22","1","-37","-71","157","56","70","6","-53","103","-5","-289","0","205","-48","-65","-110","-89","47","172","27","27","-79","140","138","-41","-45","29","112","247","29","-244","26","-103","-26","-159","-2","15","-18","294","-70","176","39","-182","23","-21","139","-61","-31","-245","-24","100","24","166","68","157","16","11","162","25","-94","-240","12","-188","70","-137","-60","-21","52","-56","38","-11","-29","290","-75","24","-91","-67","-20","58","-16","26","27","-69","34","-58","83","12","290","-6","-5","-69","24","-104","-38","-249","-243","21","31","111","-4","-334","-12","-147","138","-1","-35","-14","-57","274","-86","40","-26","103","-25","-251","156","84","8","-143","-34","172","-28","-111","103","191","105","75","72","-37","56","75","-2","5","20","63","-92","-18","49","-159","-81","4","-36","105","26","-416","-27","58","45","215","-80","-109","65","-15","45","-105","116","143","79","-30","44","-88","-41","11","11","121","91","-10","49","480","51","-87","19","-146","7","-37","-7","67","208","103","-82","-109","-65","201","197","100","-18","-1","84","91","77","9","7","-495","26","-41","207","-47","39","-156","24","15","-28","-63","144","196","62","74","-139","120","-63","-70","10","-84","-6","83","10","-25","-52","17","143","219","1","42","42","-73","26","-38","170","53","61","-12","63","7","22","317","-145","-22","43","57","-184","196","21","-176","53","98","4","3","114","231","38","-5","31","240","-65","-87","54","3","-165","-84","-11","-9","-19","-355","21","192","23","9","69","-112","-113","-51","-36","-313","101","46","-4","222","83","-38","83","-248","67","107","195","-289","19","38","31","-143","-4","347","109","213","103","45","83","14","36","-9","43","-87","-53","143","69","-209","-175","103","101","254","10","-211","-11","-188","-97","90","200","-38","85","-310","31","106","-33","161","84","42","-36","55","182","-181","-31","-296","66","228","95","-172","-40","46","146","157","31","32","4","-292","114","48","-166","-12","-80","42","-215","103","55","-38","-132","-160","60","58","-1","112","52","296","-26","22","231","112","-35","35","80","-68","40","-196","44","435","3","235","99","50","-144","-144","56","64","-40","-34","-8","407","41","1","213","-14","-115","302","12","-24","147","80","-21","-3","180","28","-24","93","-12","202","-3","-69","107","25","92","-17","21","35","18","-32","77","46","-16","131","-336","167","-81","184","-103","-52","161","-305","-22","119","87","272","-5","-271","60","-38","-99","-12","115","-24"],"lmfdb":"agrees","derived":{"al":[[5,-1],[191,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"955.2.a.d","letter":"d","dim":14,"charpoly":["-191","1562","-691","-7295","-107","8356","938","-4102","-580","983","155","-113","-20","5","1"],"traces":["14","-4","-1","10","-14","-10","-2","-12","5","4","-17","1","6","-8","1","6","-7","-1","-18","-10","-28","7","-6","-21","14","-22","-10","5","-53","10","-16","-33","-5","-17","2","-20","-14","9","-21","12","-39","16","5","-44","-5","-26","-7","15","-12","-4","2","48","-45","-14","17","-25","-15","4","-9","-1","-32","24","-13","12","-6","31","12","-33","-16","8","-23","57","16","-1","-1","-21","-15","-39","-11","-6","-14","36","-7","-14","7","21","41","31","-40","1","0","28","-61","-6","18","2","49","-13","-32","10","-51","73","13","-63","28","4","-24","-36","-35","-7","-2","51","-30","24","6","-62","3","57","-32","21","-7","68","-7","2","-14","87","27","-70","-46","22","-1","49","-6","19","10","17","-27","-2","-26","-5","-12","26","-27","-11","53","35","34","-8","-60","-10","-30","121","10","-8","16","88","39","-40","22","33","-16","64","3","-34","5","40","16","-13","-20","17","-39","51","-57","96","-2","-12","75","20","-38","20","-53","47","15","-16","14","50","36","-34","-41","-9","-14","157","23","23","21","6","-65","-49","7","-12","3","22","3","-17","39","36","43","114","-16","-16","-36","83","31","52","-5","100","107","-9","-1","44","-49","107","54","16","5","118","3","-46","15","26","58","49","-29","84","7","26","53","15","12","-15","-41","106","84","-91","12","52","23","0","-33","4","4","94","-2","-91","-2","138","34","-27","24","-48","-75","44","44","78","45","31","-66","-43","-66","14","-13","7","5","-18","-17","132","1","-1","30","25","-52","95","59","-42","15","19","5","-57","-3","-4","-44","-31","-83","5","9","53","41","18","-10","1","-28","49","70","-188","32","-6","-13","-72","3","-24","88","-121","54","-16","13","-56","-93","-17","58","-12","4","-2","-28","5","6","65","-16","20","-55","-31","-42","66","-93","1","-12","27","-34","-102","60","33","-122","19","29","-34","16","53","-33","-16","-15","-8","-36","132","-3","-176","23","-55","-25","-128","-39","-57","2","-68","-1","-42","-16","82","-2","100","-66","1","34","-104","37","19","1","-77","-41","-78","-7","21","-27","4","62","-121","15","-88","-51","4","-82","39","-7","79","-9","29","11","-36","0","-96","120","6","-103","-4","-3","-84","14","19","0","13","-119","-36","-10","34","-86","-103","7","-162","44","-75","24","14","-75","-16","-42","-56","-7","14","9","-189","-22","-21","-67","-55","115","13","-41","3","-99","-78","14","-31","7","-30","42","-29","40","25","-19","-90","-33","-1","54","-79","14","61","0","73","36","-112","54","-28","-71","30","116","-142","61","-106","48","-45","-75","6","24","-40","-3","-14","-18","52","-85","32","87","-2","-67","1","55","-51","-49","-35","26","-44","-16","13","-70","76","-12","79","32","-100","-99","-103","56","-10","-2","-56","-44","-63","51","120","4","-24","-17","-73","-35","-135","11","-63","-13","46","85","-193","-28","63","-105","-92","122","-25","-28","-18","-22","-206","26","-4","172","-180","-109","103","24","210","107","79","33","36","-71","12","161","124","35","-55","-49","-50","-115","7","78","-142","13","-211","2","-126","-117","154","121","-51","-65","80","32","105","30","-48","-74","3","-8","-24","94","-157","1","-60","-6","5","97","-52","225","62","-39","-86","73","79","-3","-89","-27","-224","5","-57","-86","-126","13","80","32","12","11","-71","50","-21","-116","-35","150","-103","7","99","-14","299","70","-68","105","-119","-42","35","7","54","-91","-142","1","-2","22","-157","138","178","14","53","72","53","-101","-87","7","-58","100","49","-27","4","-132","-16","75","70","-122","-37","30","47","46","-15","-4","76","-55","-22","5","-82","-78","-90","1","70","62","89","167","-49","-37","81","134","-61","6","-173","-10","190","29","-19","101","49","57","-88","-10","36","-79","-194","22","-17","-6","-195","22","66","27","-46","-121","49","-89","2","1","-127","12","-17","26","217","56","33","175","5","-55","161","139","-136","12","23","-41","-154","-171","-26","81","36","52","130","27","136","-50","71","25","11","-64","-157","53","112","-53","50","-28","26","-31","-35","117","125","24","124","-34","-361","-129","-119","81","8","-18","-204","42","-27","60","39","-49","146","44","10","-3","63","-79","117","30","80","-95","-83","33","-121","-30","137","53","-10","-10","-150","-84","107","-93","8","47","-33","-68","154","-16","30","139","92","-4","-88","-72","118","109","-37","-39","45","113","-2","64","40","-100","-79","28","164","-22","34","0","-51","105","-33","17","179","166","-256","16","152","-84","-50","-47","-64","24","18","-30","137","-3","-69","117","145","172","34","-63","-7","72","245","-5","103","-143","-68","-71","-40","129","199","95","26","-16","251","-97","121","52","13","35","-66","-56","107","20","-29","16","18","93","-17","47","44","60","-173","39","280","20","81","111","-51","243","-180","-35","84","57","47","-58","238","19","-96","-63","102","66","163","2","-115","-61","-187","55","12","48","-26","201","43","-75","13","99","78","93","-20","38","-40","-57","200","38","62","158","-159","136","-20","-119","-27","138","119","53","174","-50","27","-14","-47","-28","-116","249","-61","-15","29","-116","-77","126","16","107","145","133","98","-14","107","145","349","66","-50","-8","105","-72","-42","-36","-23","138","102","49","34","-33","-208","215","64","41","-170","10","49","-54","9","124","-58","75","-8","14","56","-25","-11","175","-157","36","122","112","-104","-23","-24","60","-127","51","-23","166","-99","-44","-112","-21","33","1","60","158","-6","4","-7","-3","-79","65","57","33","-245","-155","49","-4","87","138","66","-7","66","-127","-122","151","12"],"lmfdb":"agrees","derived":{"al":[[5,1],[191,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"955.2.a.e","letter":"e","dim":17,"charpoly":["356","5120","10985","-69225","-180045","72766","306922","-38155","-185850","18744","49346","-5609","-6098","822","331","-51","-6","1"],"traces":["17","7","-1","21","-17","2","-2","15","28","-7","23","1","-12","20","1","29","-1","18","2","-21","32","-1","10","15","17","12","-10","13","41","-2","8","42","-21","5","2","27","32","21","11","-15","27","20","-19","60","-28","22","9","15","17","7","30","-34","41","34","-23","-1","-1","14","9","-1","4","-4","27","27","12","-51","-12","5","28","-20","21","24","-66","9","-1","-23","13","-15","51","-29","-3","-36","21","2","1","-55","-29","31","34","-18","-2","20","-9","-44","-2","-78","-21","46","28","21","27","-111","-35","27","-32","-12","-8","-36","53","1","-18","-55","56","-30","-10","36","-51","17","12","-15","-4","-50","29","-2","-17","-51","-31","77","-2","-12","37","-185","-30","63","10","-33","11","-2","-4","-13","66","-54","33","-16","-41","-71","-14","46","160","2","-10","-15","-24","0","-8","-116","-31","48","22","-42","44","-89","-21","60","21","-8","-10","-1","25","-5","-63","-141","49","36","-2","60","27","-30","46","-27","5","-49","39","-8","-32","-170","-22","6","137","-21","17","-139","-43","-19","-11","-91","133","-29","21","15","-1","-118","3","47","-27","-148","-49","-72","24","-20","-32","-77","35","32","19","-56","-93","21","-59","-60","99","-161","-26","-36","28","4","11","-10","49","-22","-50","-141","25","-146","-9","-50","-11","-81","-26","-15","-9","45","-96","-27","-17","-88","-27","50","67","-7","-22","-20","18","-35","-30","41","-26","45","-16","34","141","-142","76","-124","-41","-77","-66","21","50","-34","7","-59","-53","68","23","-12","59","17","8","1","60","-101","-13","-14","1","97","13","154","14","-14","12","-115","115","-55","-9","51","-99","48","-74","1","66","19","0","140","-4","-52","-73","-32","83","4","-26","-65","-104","38","-27","100","127","197","74","-27","48","30","-38","-40","-12","53","-60","-22","93","51","-2","104","81","69","12","-123","-100","23","30","-5","54","19","41","-94","-28","149","-1","108","57","20","-64","110","-69","112","-21","17","25","102","-47","-24","33","-50","-137","62","66","-142","4","244","22","-9","76","-110","59","-65","1","-37","-49","260","39","23","73","7","-46","-157","-13","46","-43","42","40","15","49","-66","-71","135","-51","92","22","96","-192","29","17","44","-21","114","3","139","64","113","-27","36","-168","58","90","-23","-21","-72","20","125","-16","-2","33","12","-66","54","-1","86","-43","55","110","55","11","-15","-123","-43","29","185","135","4","-10","-31","56","126","-44","21","-34","-159","61","-60","147","18","42","-11","20","173","2","21","-30","138","-30","-20","109","-90","-84","-140","9","32","56","-71","-15","44","-70","-176","69","162","2","-22","239","72","25","78","-21","-201","-231","132","21","245","62","-130","-68","-46","92","-184","-50","57","-28","54","-83","-3","-2","-21","120","68","-56","47","-27","-84","-16","22","43","111","-77","164","-21","-161","35","-18","89","-41","-100","-27","67","38","-100","-57","32","6","76","-182","61","12","78","-132","47","59","8","-130","29","-43","-35","36","109","-48","-9","-22","-53","-73","67","206","-43","-1","-22","170","-203","7","18","102","229","136","9","55","49","42","-18","-55","-56","-28","30","-161","16","30","52","-79","-1","172","10","80","-109","-23","-11","-36","37","178","-27","-109","51","-43","9","88","49","-17","38","42","-73","6","-12","230","7","29","52","15","-2","3","-58","-39","4","43","-74","115","38","50","89","-49","-92","-153","-29","74","79","102","-89","2","66","-17","-138","130","17","-141","112","41","193","51","33","62","-148","35","31","-88","-50","80","-5","-77","74","-41","-144","-97","2","-151","44","-105","-149","12","-51","150","140","314","-37","152","34","-3","-187","185","135","19","-262","101","30","39","-88","184","53","-63","17","-189","-81","-160","-10","-167","199","206","-40","33","-74","301","42","-20","-11","14","57","-339","-49","2","57","217","-8","-29","4","-41","-54","-25","-157","13","165","-63","-185","122","-66","-3","7","438","-47","54","-17","68","24","66","-33","-48","134","17","-223","16","-32","194","-267","10","41","-110","-52","144","40","71","37","175","-34","62","14","215","-31","231","-53","-46","186","36","118","-365","-160","-171","69","-286","138","-2","-117","-101","-123","37","10","74","-13","-71","-119","15","64","131","-205","21","24","-198","-56","-177","-119","0","-145","73","106","-286","8","60","83","-86","-136","116","120","114","-193","-362","31","95","61","340","24","-48","-40","215","-218","190","-22","-106","-24","-203","149","42","-49","145","-286","44","-44","-70","-52","-40","7","89","-8","134","70","-7","21","283","-93","155","-192","-60","49","-65","-116","-283","-21","241","93","-228","-7","8","-235","-91","57","-254","10","187","-75","89","-198","1","64","-96","-116","-29","-25","-279","40","-54","21","5","-67","214","-80","-65","63","-104","-28","211","-105","141","131","276","-105","-248","-49","-91","-198","-158","-75","-36","33","-36","-132","-183","2","-77","29","31","-337","-60","-136","305","-193","-81","-27","-29","59","-24","-49","30","0","104","115","28","-46","-248","98","107","68","27","-153","37","-188","-13","-5","-456","-26","-69","-136","49","-104","-44","-111","-231","-39","227","-36","3","-126","8","-65","7","-81","110","32","47","-131","-123","-14","170","-302","-93","-128","106","22","-117","-114","32","-123","-6","227","-206","-201","-376","-137","-196","36","169","-162","21","-130","238","115","-32","-17","-236","-125","1","-183","139","131","-62","-244","-94","43","-286","48","164","-73","19","26","-211","-148","-400","11","-145","5","20","126","91","196","-99","-113","-555","-133","-183","5","49","105","29","-12","207","-50","-214","-21","-132","-153","118","-185","-15"],"lmfdb":"agrees","derived":{"al":[[5,1],[191,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"955.2.a.f","letter":"f","dim":17,"charpoly":["-1436","21048","-33975","-98545","238149","-18684","-260116","133049","89076","-75854","-5264","15743","-2142","-1226","331","15","-12","1"],"traces":["17","7","5","17","17","-2","8","15","16","7","11","5","20","0","5","13","21","2","-2","17","4","9","8","-9","17","-4","8","1","33","-2","-8","32","19","-3","8","7","26","-7","-9","15","11","-4","7","24","16","-6","9","-5","1","7","-2","24","41","-42","11","11","9","-6","-19","5","-2","24","9","-21","20","3","12","-7","-32","0","17","-12","44","1","5","-37","43","-17","-25","13","-7","0","11","-42","21","49","21","-7","14","2","-24","24","-1","-30","-2","-2","19","-34","-12","17","11","9","-9","-57","4","22","14","-74","-11","9","2","21","12","-52","8","44","33","-55","0","-9","8","58","-35","-90","17","-41","5","-27","-78","-4","11","71","-2","-21","8","-17","55","-106","-54","1","4","24","5","-32","33","13","-6","10","44","-2","-10","15","36","-128","-8","-12","27","-114","-50","32","0","55","-37","-16","19","-80","14","-131","-31","-3","1","41","43","-100","8","12","-1","-46","-30","7","-31","-11","-49","-48","26","10","-4","-112","-53","-7","-17","21","55","-31","-9","-31","69","-141","-55","15","-45","-4","13","-121","11","32","-7","-96","-40","-4","-48","39","-9","-56","7","-80","-3","-11","-45","24","67","11","-24","0","16","-40","11","-150","-75","-6","-26","31","45","-38","9","-30","53","-73","10","-5","-77","-13","4","-73","1","48","-33","-32","23","7","-6","54","-2","5","-2","-87","80","-145","-88","24","59","4","22","-62","41","43","-16","-11","78","-42","-45","-41","1","-76","11","-24","45","-11","-98","11","56","95","-7","58","9","-13","-11","6","-22","-6","-116","107","75","53","-19","27","25","-22","30","5","8","15","8","-88","-2","88","-9","-56","35","24","54","23","4","62","9","-24","79","-35","-18","-21","-44","108","78","-64","20","25","16","-12","-35","3","34","94","117","-15","12","-45","102","-31","-28","-7","30","27","-29","114","-32","-9","35","-62","-55","0","44","-24","93","-68","17","15","19","88","61","-12","-79","38","15","-6","44","126","22","-96","12","1","32","58","69","-9","5","-13","77","-10","-31","-37","101","-7","54","15","43","94","-31","-138","24","-17","-135","66","79","-45","-25","88","-4","-36","32","13","103","90","11","-50","-7","-37","-52","-105","-35","0","58","42","118","1","11","56","-16","57","-8","-42","25","112","20","110","21","98","-91","5","-22","49","11","-53","41","41","21","-87","101","-112","2","-7","-140","42","54","63","14","9","-41","66","19","2","-122","83","68","-127","-24","5","34","-92","46","24","65","-50","28","104","-1","20","-140","-23","-27","-30","4","-12","39","54","-2","-20","61","80","-15","-2","-79","49","77","152","19","53","-54","16","-48","-34","32","90","134","91","-12","-52","79","35","-30","17","74","118","56","-47","11","32","-88","94","45","9","-101","-62","27","155","-9","-94","-17","-81","8","-57","1","44","46","39","4","14","-72","78","-35","22","-138","30","75","15","14","82","-29","55","-3","-74","-13","24","-17","-46","-11","149","15","72","59","9","-34","-40","107","139","2","-50","115","-90","-31","21","-57","190","76","109","12","12","-88","163","122","-52","-118","35","-5","92","8","40","13","11","-99","44","57","54","41","137","33","-71","-53","80","-23","-55","-70","112","83","80","0","158","-41","41","-36","-9","-118","167","4","-47","8","231","-68","-163","58","58","-31","229","-12","103","-35","-186","123","134","-33","-90","-38","-63","96","102","17","115","-154","155","47","-41","3","-86","10","91","5","12","-78","-30","15","-27","-62","-171","-20","127","-78","89","-116","-91","-79","-4","77","-70","62","6","11","-24","-120","-99","125","71","-119","137","-42","-5","-2","309","-110","16","1","-21","-75","-69","151","74","8","-67","21","-62","-94","-17","-74","155","-10","14","55","-38","-169","155","55","-106","-147","65","4","215","-54","-51","-60","-129","-17","1","17","-61","-11","8","4","-23","-243","4","53","24","-101","-84","-24","-46","5","-44","100","113","73","-32","-136","-82","69","-6","33","-46","-150","-114","-68","13","-127","-91","108","-104","-6","-13","-1","101","-11","10","-18","-82","80","181","44","137","-229","26","136","-2","-47","-13","7","9","-10","56","-67","-171","53","15","-76","-123","13","-17","36","50","-56","-75","-83","-128","-129","97","100","6","-8","-124","-167","154","-76","-12","-36","-24","-27","82","27","33","-149","14","-172","-114","-144","-37","60","114","-50","-70","0","63","9","32","-9","-197","74","-24","0","224","-274","116","31","55","-128","-58","80","-11","-37","35","-85","-197","-36","-16","87","131","-96","153","19","203","-25","-86","-159","-80","-31","-183","5","126","14","-173","-75","127","30","-131","-160","2","-28","175","-31","-13","-154","36","-135","-3","-25","-252","136","-37","1","-60","74","-187","-73","41","-121","-96","-41","64","43","-71","-308","-164","23","-100","-147","-46","20","163","8","185","-29","-185","187","12","44","-59","-9","215","-1","-39","-43","-42","-125","-46","-154","-4","-91","84","-30","82","-122","131","-44","7","-79","-193","-72","-67","-31","182","-118","-189","-132","-11","56","-186","-25","181","-49","-81","46","-67","-62","-48","-109","-257","-127","62","26","71","-129","179","-68","10","-108","69","-106","50","-4","-5","28","-220","97","-112","43","90","37","12","-53","90","-230","85","-70","-7","72","-138","-35","-18","-17","4","105","51","41","21","-177","-108","138","-102","55","132","-216","-226","-49","-31","-10","-213","-60","284","-9","11","89","-166","-106","-31","176","-221","3","185","69","73","-39","153","61","-141","-88","-193","-216","110","-55","390","153","-218","39","15"],"lmfdb":"agrees","derived":{"al":[[5,-1],[191,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.276,"computed":"atlas","estimate":{"seconds":0.689,"low":0.42,"high":1.192,"bytes":2463724},"url":"https://sagebrush.space/atlas/mf/955.2.a"}