{"label":"949.2.a","level":949,"weight":2,"dims":{"new":73,"cusp":83,"eisenstein":3,"modsym":169},"old":[[73,5,2]],"T":[[2,1],[3,3]],"status":"proven","checks":["dim M^+ at levels [1, 13, 73, 949]: [0, 1, 6, 86] (certified at ell = 2147482873)","T = [(2, 1), (3, 3)]; h of degree 73 = 1 x 73 (phi(ord eps) x dim S_k^new); 10 primes, 0 rejected"],"newforms":[{"label":"949.2.a.a","letter":"a","dim":2,"charpoly":["11","-8","1"],"traces":["2","-1","3","-1","4","-4","2","0","1","-7","4","1","2","-1","11","-3","4","-8","5","3","3","3","0","5","8","-1","0","-1","-9","-18","5","9","1","8","4","7","3","-5","3","10","17","-4","12","-7","17","-5","-21","-12","-12","-24","-4","-1","6","-5","-2","0","10","17","-24","7","-4","15","1","4","4","2","-14","-12","5","-7","8","15","-2","21","32","0","4","-4","8","-21","2","-6","24","1","-12","-6","-26","-10","0","-26","2","5","-10","13","15","11","-16","6","-13","16","-6","12","-2","0","11","-8","-11","5","2","1","-18","-3","27","-15","10","-8","1","17","4","25","-4","7","23","-20","36","-8","5","-25","18","-7","9","-3","5","12","10","-20","21","-10","8","3","-34","1","4","-24","-43","1","-18","-24","3","-56","14","5","-28","3","-25","1","16","-4","14","13","0","14","9","-11","-3","-17","12","5","2","16","10","-6","-8","43","8","9","-41","20","-3","9","-29","-1","-11","10","-39","25","28","8","0","-25","22","11","-26","-7","11","6","-27","-6","-42","40","-26","-27","-9","-8","29","-9","15","-3","5","-18","-17","2","7","-22","24","10","5","-21","-3","1","4","39","-3","9","64","-1","24","5","-6","-15","1","-25","-12","-8","-47","7","12","8","-12","-54","-19","22","-12","-3","-24","-29","5","-35","41","-53","0","7","-10","-5","-28","7","18","-24","3","3","-42","-27","36","-5","22","-5","-20","2","30","-15","-36","24","3","-8","-24","5","-17","16","-50","10","-28","47","2","-9","40","3","17","-3","14","69","-9","1","-34","24","-58","-45","-10","21","0","24","12","-22","21","-15","-18","4","52","-7","7","35","40","5","7","-18","17","-4","-14","-22","7","18","11","-5","0","-16","8","3","23","-5","-21","4","10","-7","-66","-11","-38","-12","-8","-1","28","-4","45","-25","-26","0","25","-36","27","-17","28","-24","0","23","0","58","6","-20","-4","-36","-30","35","-23","37","-26","-1","-4","18","11","-15","1","57","6","-15","-45","16","89","-5","-9","-5","21","10","10","-31","13","-40","-2","18","6","23","42","-18","-20","0","36","21","16","19","-25","21","10","-72","21","38","5","33","-26","17","51","-20","53","-52","29","11","-24","-10","58","9","-8","5","33","7","-11","21","-18","10","-64","-6","-4","33","1","-42","-15","-15","12","15","-112","19","5","4","39","0","-6","8","12","-21","-40","9","-18","4","0","-72","39","-26","36","3","4","20","-34","33","-20","5","30","2","8","51","-60","-9","-53","7","-14","81","34","-10","24","-16","40","-12","18","26","-20","37","3","2","5","-18","-2","41","-30","-10","6","42","72","6","32","-5","-1","45","8","-58","-18","17","23","-30","12","15","48","-5","3","0","-22","44","-2","24","5","-19","16","6","-37","21","28","10","-22","61","-67","18","32","7","80","6","-36","-36","-27","0","17","40","33","-10","33","-10","-24","5","-59","-12","-66","28","44","-4","-34","-13","-17","-8","-35","15","8","-4","-96","-24","-9","15","12","-21","12","24","0","-13","29","14","2","-10","-8","-65","90","-7","53","-6","40","17","42","33","-44","-26","24","2","2","0","17","27","51","-6","-5","99","-48","63","22","-5","-12","-24","-63","-5","0","80","-44","-6","-22","8","-48","-48","28","20","-26","29","-21","24","-54","-26","81","-10","14","-16","-14","-10","10","5","0","-12","102","-46","0","2","96","-26","-11","0","-38","32","15","8","-12","-1","-11","-55","0","-33","-4","5","66","20","-43","-30","-38","-24","-10","-12","-14","-44","63","-18","-1","13","28","-1","-46","-10","-4","10","15","33","-25","-1","-12","64","2","11","8","44","40","-1","47","-29","-16","-20","21","25","-20","15","37","13","-39","-18","6","-40","-51","44","-13","19","-24","-60","44","-64","-3","16","-48","-5","-15","-2","-128","-30","-6","-17","-16","-13","4","-40","-35","12","-2","39","-38","-15","27","-78","-2","-1","-21","-8","-136","48","-41","0","-59","7","24","-7","-45","-38","-66","-5","-18","-63","85","-18","10","-8","-30","-40","-39","45","27","-44","-11","-142","57","39","30","17","58","5","2","-3","-5","35","-12","-15","2","9","-36","41","-24","33","-24","1","37","8","3","-48","-120","30","-18","-21","40","7","26","0","-25","18","52","-63","-89","6","29","-28","27","25","-4","-35","58","21","-26","-15","-32","16","-60","27","-4","-12","10","15","40","60","32","38","-64","-8","-24","27","3","36","30","-19","1","23","-63","-37","-48","20","-16","17","-12","-5","61","-99","-13","4","-24","24","34","-10","-35","-9","8","25","45","-27","-52","-4","4","89","-4","-24","-12","32","-45","-1","-62","7","60","55","15","2","-60","18","23","20","-6","-5","64","39","-19","-20","16","181","-14","40","37","-15","36","-1","-11","-27","-61","3","45","48","38","-12","-157","24","-24","-60","5","60","34","-6","-55","39","69","-25","5","-40","65","8","-8","28","18","-25","-103","-58","37","-27","87","-7","8","-45","38","-28","-47","-27","9","0","-1","20","78","-5","8","-3","-168","-14","29","-28","36","95","-30","21","35","44","-4","15","-30","12","53","-34","-19","-52","-5","51","10","18","-21","4","-2","-80","-46","-20","-32","-34","84","-14","8","30","21","47","73","21","77","17","-62","-10","67","-40","-20","11","50","-29","8","-15","32","21","-18","-3","40","-18","61","-51","58","35","-69","-36","-34","0","0","8","78","40","20","1","-84","17","-8","9","-45","70"],"lmfdb":"agrees","derived":{"al":[[13,-1],[73,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"949.2.a.b","letter":"b","dim":2,"charpoly":["31","-12","1"],"traces":["2","3","3","3","0","2","6","6","1","-5","0","-3","2","9","5","13","0","-6","5","-15","9","5","0","-1","0","3","0","9","9","0","-1","15","-5","0","0","-21","-13","15","3","-20","3","6","-20","15","15","-5","-3","12","4","0","0","3","-6","-5","-10","18","0","11","0","-15","4","-9","3","4","0","0","-14","0","5","-15","6","-27","-2","-27","0","30","0","2","8","-15","2","22","12","-9","0","-30","16","20","12","20","6","-15","6","-7","-15","15","6","6","-15","0","12","0","-12","6","15","-4","-3","-15","-8","-15","-12","39","-27","5","10","6","1","-5","0","-15","-12","-9","-13","-24","0","-18","-19","-9","-30","-5","-9","15","15","-36","10","0","3","0","12","-45","-2","-11","0","-16","5","-3","6","-42","27","0","2","45","0","15","15","-3","8","12","-14","-15","0","18","-21","57","-15","33","0","-3","2","0","-20","-30","-12","9","0","15","5","28","33","15","-25","9","21","-20","15","-1","0","-12","0","-35","24","-9","2","9","5","6","3","-20","28","0","-6","23","27","0","-35","-3","15","13","15","0","3","6","29","-2","0","-20","-3","3","-3","-15","0","-13","-19","45","0","-43","-18","15","-30","15","-15","17","42","-6","5","-15","12","0","-48","10","15","-18","-12","-39","0","3","5","-33","3","25","0","-63","-10","-51","0","-9","-42","-20","-39","-15","12","19","18","15","-10","45","8","-66","6","15","24","0","9","12","0","-15","43","-12","22","-60","0","-3","18","-51","-10","5","9","-15","-34","-15","9","-3","36","4","10","-69","-10","53","0","0","-60","18","13","55","30","0","-20","45","-33","25","12","-1","27","-18","45","12","6","-6","-5","-30","-7","-15","0","48","0","-9","-27","79","-9","-10","-2","63","16","15","30","36","8","3","-38","0","-15","-45","-30","-60","15","-48","39","-21","-16","0","0","15","12","0","40","48","0","52","-12","35","-3","-45","-18","9","0","4","23","-15","-51","55","-18","-21","63","0","-25","-19","9","-15","31","-60","-6","31","-27","-26","-30","18","-10","9","18","0","0","12","-46","57","0","-15","-1","27","0","0","-15","-14","-1","33","-30","33","-15","0","-5","-60","-3","27","0","20","-30","15","48","35","57","-45","-21","27","6","2","0","6","12","3","-5","50","-9","-15","-10","-27","30","33","-15","-2","-33","-30","2","0","60","-3","-20","9","28","12","24","0","35","-48","-12","-57","0","20","-38","-45","0","15","12","0","32","51","20","73","51","-21","-42","15","42","-20","0","8","0","0","-18","-62","-12","15","-13","60","15","-18","0","17","4","-48","-54","-10","6","48","0","15","-5","-29","18","12","28","75","-15","-10","12","-81","-10","-15","3","-96","12","0","-6","-18","-15","-83","-30","30","-5","-81","12","-20","0","-17","-19","84","0","37","0","-10","-36","0","15","90","3","12","-5","-102","47","34","0","15","39","36","-30","0","-30","6","50","27","47","0","15","-15","24","72","-10","-72","3","33","-20","-45","0","-20","18","-3","5","42","6","-62","-6","-15","20","15","41","66","0","-43","30","-51","-12","-60","36","6","10","-6","15","39","-51","-6","-25","15","-48","-107","-30","-15","0","78","57","-5","-18","0","38","-90","38","48","0","12","20","60","48","35","-3","0","-26","-30","-45","60","-18","-12","28","30","10","-7","36","12","-50","78","10","-78","0","60","31","24","-18","-56","45","24","4","15","63","-25","24","-3","-80","-45","-50","0","39","66","-10","0","18","36","-18","-8","-65","72","-1","-21","12","15","40","-18","0","96","-45","69","5","45","-66","80","-30","45","44","-48","0","3","-33","-27","18","0","3","-25","-36","-75","-15","-45","-45","-130","-6","10","7","-108","-45","41","60","-12","0","-24","53","0","42","-5","-55","30","0","38","36","-15","0","45","4","76","15","0","-10","57","-82","-43","-39","90","-36","33","-15","-60","0","-12","63","18","-59","5","0","-51","-45","72","10","-15","-30","-79","-15","120","0","-12","42","-22","-25","87","-39","0","-9","0","21","-27","10","11","-30","-45","-14","69","-15","-95","36","-19","-24","21","0","-43","0","9","-8","-45","-43","48","-63","60","0","18","-36","27","60","-15","-40","0","5","26","60","-9","79","162","17","-20","-81","-35","4","-39","-30","-3","78","15","0","0","-24","-25","0","-24","30","-9","-16","56","48","-50","14","18","36","-55","-45","0","-50","-15","3","-75","-93","3","50","24","0","-15","24","15","-101","-75","57","4","0","12","-30","60","15","73","6","-45","-15","21","20","72","0","19","-36","-24","12","0","15","-69","-50","-27","30","1","-33","0","-10","150","-39","-66","-78","-15","60","45","-51","-72","0","5","-14","36","3","-35","0","3","-27","-57","69","-65","-75","-12","0","0","15","100","-12","-16","-57","-60","30","84","-15","27","-5","-27","5","-4","3","0","0","60","-90","-91","15","2","67","-117","-9","-15","0","15","30","-72","55","-45","-27","0","-39","30","-30","-17","6","45","0","18","-51","60","12","15","10","93","43","44","0","-27","14","-108","3","30","27","8","-35","-15","30","-50","27","-12","-2","0","74","0","36","-2","10","-42","-30","-58","9","-35","-39","-27","-9","135","-30","0","-85","-36","0","-15","72","87","36","-39","0","-19","-78","-21","20","-30","-49","-1","-6","51","-105","0","-6","30","0","30","-22","-30","12","-33","30","27","-4","57","15","100"],"lmfdb":"agrees","derived":{"al":[[13,-1],[73,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"949.2.a.c","letter":"c","dim":16,"charpoly":["6993036273","7661253473","-4473869485","-5488731330","1048154170","1333714352","-49926604","-150093005","-9490000","7825688","1110613","-147275","-38262","-767","382","36","1"],"traces":["16","-3","-11","11","-6","-4","1","-9","9","-8","-23","-23","16","-16","-1","9","-18","14","-18","-9","-12","-5","-38","-19","8","-3","-38","23","-30","39","-17","-6","24","2","-48","17","-5","-30","-11","-30","-11","-19","-2","-38","-20","-4","-3","-3","13","-12","-21","11","-9","-32","-9","-8","15","20","-35","37","-23","-9","14","-33","-6","-10","-3","-56","25","-41","1","69","16","-2","-21","-41","-28","-4","-35","-24","16","10","-60","-14","-3","40","-23","17","-39","-102","1","-68","51","-28","-38","-40","38","53","-5","39","-4","17","4","-9","44","23","-52","-23","-46","71","-17","102","-25","126","23","-71","9","48","-23","76","1","6","23","32","9","93","-4","13","-64","-8","-74","84","-14","-13","26","40","-3","122","-21","21","-44","2","-23","20","88","-3","-5","-25","-3","40","18","38","58","-32","-80","-23","15","25","36","13","-58","100","-6","86","-31","91","-13","-61","16","62","-60","50","-29","39","55","48","58","57","-19","-52","-64","-16","15","29","50","27","21","42","22","116","-67","114","36","-38","-1","-21","53","40","-37","34","47","115","2","148","50","-86","-93","9","21","111","22","28","-30","-12","14","-8","6","44","-11","16","-18","13","40","-23","48","25","-54","113","28","86","78","15","-21","14","-3","-67","135","75","-37","99","2","62","-25","95","9","-104","-18","-71","151","14","-136","34","72","81","10","33","-10","-34","-78","-9","10","34","-9","108","-22","-33","51","97","-101","197","-19","-60","-12","-57","-81","82","7","-39","-65","-63","-2","90","-14","15","-1","-5","-102","133","26","8","-55","11","47","16","-35","73","32","15","-38","-296","-13","19","-22","-160","34","-87","52","-25","14","115","-144","-19","48","-75","-37","-67","-41","-30","2","25","-41","142","62","22","8","-48","37","11","-9","-206","33","2","101","4","-14","-93","-40","-3","-10","57","-44","-187","-25","-60","13","-8","-129","145","-4","36","-38","-107","42","-122","44","-190","73","60","-42","-193","88","41","-73","23","-6","-21","-63","-168","-110","27","-83","80","-75","69","102","-71","-30","-133","-97","62","-62","-166","69","54","157","-50","60","64","4","39","25","-29","139","125","-88","-200","-10","-30","-11","52","-40","-51","-17","2","-19","-5","-24","107","63","80","18","-70","14","-179","-88","-6","12","171","-159","147","-87","-52","56","-63","-222","-110","54","59","24","-65","-42","-148","-21","-16","-95","-48","130","-4","5","128","-50","2","-36","-43","3","-225","-120","22","92","107","-61","-72","12","-4","-48","50","61","12","-22","-78","14","146","65","-105","136","-18","-84","17","70","-27","91","117","-17","-69","-48","-207","36","93","-14","0","-5","-56","99","-72","-10","-188","-33","92","113","-72","-66","-87","72","-30","92","1","75","-48","-137","-173","-91","-27","-173","200","-146","-41","-11","-61","31","-232","1","-148","266","24","88","-34","7","63","-31","-30","25","-180","3","-172","-234","45","80","7","100","72","-7","-337","-11","18","96","-76","72","-109","-142","232","49","46","48","-13","61","-19","-95","52","-56","-64","-10","110","82","143","-131","78","29","27","-2","-136","31","-1","-74","18","56","58","9","-72","77","-328","-116","-38","111","104","-62","-172","-3","-51","-161","178","-81","25","211","-9","-20","-68","-167","-10","128","23","71","-157","11","50","49","83","128","-4","4","-64","15","73","15","-28","92","-232","16","131","-21","-276","-3","-237","63","133","156","-85","180","234","69","-191","163","-268","61","-3","232","-28","-21","106","-18","-223","91","42","-83","-14","24","-128","13","-14","71","-57","-46","-60","14","-111","145","-34","96","-5","-39","-12","-99","10","48","126","-89","-42","9","-31","-122","11","-10","13","-21","-104","97","-158","90","107","14","-25","-122","-15","195","-28","1","11","-44","-117","-22","170","69","-115","74","-78","-27","21","76","93","-9","-312","-56","-75","-105","75","17","227","74","66","-61","246","85","-32","69","59","56","-53","-129","-1","-35","15","-195","67","52","9","-9","-160","77","-74","-137","-253","38","96","73","-30","-39","31","-44","-8","225","-8","-85","-132","32","-103","143","205","-20","42","-5","81","15","-239","127","-70","12","172","-215","93","70","189","-30","81","154","20","-192","-325","-90","-25","-151","265","31","10","9","-56","143","-168","-35","37","50","195","135","35","77","145","25","-213","217","33","-145","37","72","-25","180","64","145","-30","-97","173","-112","115","6","-288","-23","-193","-94","-45","-104","94","206","345","-22","-169","-23","-131","155","-9","72","390","-55","-192","-165","-128","105","214","-95","27","-29","14","14","-235","151","100","13","30","190","307","47","-9","36","178","-10","-33","38","89","-9","213","12","87","-27","288","-24","168","137","57","-6","24","50","140","141","34","-50","-41","72","83","275","-24","-10","-10","-81","-204","227","-1","118","-196","-45","-22","-225","79","94","-48","-3","26","110","-82","-20","-23","116","177","54","99","45","3","20","-56","264","-195","-17","63","37","-123","62","164","-6","90","224","-33","25","29","-67","450","-218","-86","202","139","-14","31","-32","62","286","-41","43","16","168","21","9","76","176","222","43","330","-125","23","1","80","61","103","101","66","-50","-257","124","155","202","-8","190","69","-80","-97","27","-43","16","-102","76","-87","196","-28","16","131","16","-239","106","1","-48","144","54","-180","-69","-47","36","15","-5","-2","-70","178","69","5","49","81","-84","19","-154","65","35","-14","-21","-194","142","-7","168","-18","-73","162","52","-159","-82","203","-69","-41","110","387","112","-32","1","-214","69","135","39","-100","-5","-173"],"lmfdb":"agrees","derived":{"al":[[13,-1],[73,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"949.2.a.d","letter":"d","dim":16,"charpoly":["102132288983","-23209973263","-87358716685","-1640010450","21731067424","2322460722","-2083327704","-252344787","100144198","10924384","-2680125","-225803","40434","2197","-318","-8","1"],"traces":["16","-1","3","17","4","8","-3","-9","19","8","23","3","16","6","-17","3","14","10","10","21","-28","-23","30","35","14","-1","30","5","20","25","-5","-24","4","-30","20","15","3","2","3","0","11","15","28","44","-28","-34","33","-19","5","28","29","17","25","8","35","16","5","-14","59","-63","-17","-21","-4","3","4","34","7","30","-17","17","-1","-51","-16","16","-25","-15","4","8","21","20","8","-66","2","16","-27","18","-1","-95","9","0","-3","78","-25","0","46","48","20","-39","67","-43","30","1","52","-9","-46","-11","88","-37","6","33","13","-84","23","-12","17","23","19","-18","-25","42","33","-12","-35","-10","-45","61","-18","-7","74","8","128","-96","-74","-23","-20","16","-35","-52","21","-21","-6","2","23","16","2","1","27","-17","-43","-94","-38","-42","14","-26","26","3","-61","-105","66","-121","0","28","-28","4","-1","-99","11","-25","16","18","6","24","57","-1","-51","0","-44","-115","17","-80","96","6","9","-113","46","-69","23","16","-78","-60","39","-176","12","12","-17","-69","-3","-122","37","-26","-5","-111","-32","-4","-116","-22","-35","3","19","-149","28","26","-74","-34","-2","-54","-8","-90","-3","38","14","-45","-52","-29","-54","47","18","-183","2","64","-92","29","-9","10","11","7","-33","-89","91","-33","-14","-98","123","-29","27","38","10","59","-49","32","148","114","-38","-61","-128","79","-56","-8","60","21","24","44","29","28","12","5","-37","-47","-39","-85","73","114","-28","59","33","-60","-11","-31","-39","-79","12","-8","-86","53","39","-23","-10","-119","-30","-14","109","-17","-7","-148","5","107","114","53","30","36","-77","45","-38","42","-24","-157","-32","93","-128","27","12","35","-60","19","13","201","-57","-24","-64","41","59","-14","30","-38","14","84","-5","-151","149","124","9","-80","7","64","18","-69","-12","-1","50","15","-102","41","57","98","-89","16","17","-139","58","52","30","-145","-74","-30","-38","150","-29","-124","38","-69","-16","71","55","5","-4","-73","27","126","114","103","109","38","-11","-199","0","75","20","107","-111","140","14","18","19","184","-1","104","100","6","38","25","103","27","-5","-111","116","118","36","44","-11","-58","-98","289","-5","98","13","89","18","131","-51","-10","-144","44","-86","-81","-28","-24","-114","39","91","69","49","4","30","-49","84","-150","-38","89","4","107","24","-6","-5","196","-21","-198","60","-8","-25","-80","50","-30","38","121","-57","83","76","50","-30","-107","89","-16","14","184","20","202","53","-116","42","148","54","68","-191","-37","-116","-40","96","15","-24","-31","-31","-61","-49","-19","26","9","90","9","166","236","3","136","19","140","4","78","-51","-86","-7","46","-8","-69","-36","2","50","-35","-45","-222","81","-21","83","-81","127","-18","-44","-43","3","155","-33","160","3","-30","2","72","38","162","29","-115","-27","0","23","196","57","86","-6","-53","-72","-271","136","-72","109","131","11","122","-16","38","-72","-9","120","-188","-31","102","68","-89","-33","15","-63","148","-120","146","128","260","-84","-77","211","84","-43","67","28","-2","-131","7","152","224","-186","-20","-225","46","5","50","-100","44","-193","138","-30","10","35","-13","139","148","55","-99","-57","9","-28","34","75","-114","-44","15","11","-147","-119","-2","-11","-115","98","-34","88","-34","-83","221","21","-110","20","-32","76","-207","-139","10","33","159","19","61","-26","47","-10","14","-59","-87","-185","264","95","-19","-84","158","31","-130","-156","-47","49","-208","-59","-34","54","94","5","80","-165","-59","76","138","64","-175","-247","-38","90","27","89","28","-119","-76","-82","-82","-1","78","-19","-39","190","-395","8","169","29","126","-119","-36","42","43","-132","-163","-22","25","-155","-288","61","17","-58","145","-52","-18","159","65","86","-156","51","-113","68","149","25","266","44","39","-175","111","-125","87","-102","234","197","12","93","8","-21","111","-92","15","-143","-67","-67","33","97","-17","-76","85","35","44","-19","-150","53","245","-36","-160","-133","-40","-67","195","-86","16","19","-8","103","274","90","237","67","-131","58","-196","-67","-153","5","109","-25","-124","-36","106","-143","307","-102","-85","-220","-81","154","-14","44","133","-104","-47","-63","-63","-27","154","39","-36","-147","32","59","-93","64","1","181","83","-49","-9","23","127","-51","-3","-201","-63","-188","-77","16","-132","-113","14","23","-237","-84","-173","-26","-240","-17","29","-212","-161","-38","-166","-18","-75","-42","265","-23","-159","71","-21","-152","-38","-85","-192","21","76","-83","-18","-29","-211","-169","-18","-4","-35","201","206","-135","6","-68","37","41","-79","-74","50","-74","3","-32","11","43","125","-20","-183","3","62","-46","64","53","153","4","88","-102","-94","-107","-2","20","271","-10","-27","61","118","-14","34","-143","-144","-111","-55","-76","-100","-113","46","121","-145","56","-258","7","110","-366","76","164","-3","-144","-151","-298","61","203","105","-124","30","-6","169","107","-165","97","-85","90","56","-76","-296","-84","-71","-17","-43","133","160","-6","-150","-344","-55","-186","73","-18","70","48","17","115","-58","-204","-83","79","150","42","108","27","-240","-35","97","-1","50","-267","-223","-125","-62","-110","-109","26","17","-148","-8","48","-51","-110","-159","93","-183","0","212","-76","7","-56","0","-170","-53","-16","65","-8","-15","-52","410","-120","-270","-171","-127","170","77","-195","16","-146","-46","67","-73","73","-287","-22","151","146","151","143","-84","-25","-62","-82","-221","-58","-100","-161","34","-132","-33","-118","157","107","-15","-74","35","-88","58","3","84","-67","203","-11","-314","-219","169"],"lmfdb":"agrees","derived":{"al":[[13,-1],[73,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"949.2.a.e","letter":"e","dim":18,"charpoly":["-5566743311","24969017119","6777053538","-77362220937","-36280350729","26953918266","9024986388","-4044975911","-870775120","305704839","43260233","-12261903","-1280687","265096","23440","-2885","-241","12","1"],"traces":["18","-3","-3","17","-12","-14","-7","-9","19","-4","-35","-3","-18","-22","-19","7","-10","-16","-24","-29","-16","3","10","-21","30","3","-18","-17","-18","-17","-11","-16","-12","-10","-36","19","-3","22","3","10","-41","45","-22","-72","-14","-20","-41","-7","27","14","-23","-17","-5","0","15","-54","11","10","-65","-23","-11","-27","-30","49","12","56","-13","-14","-47","81","-23","-69","-18","-26","-37","7","28","14","13","-48","18","30","-76","22","17","-20","17","1","-23","138","7","72","-15","42","-6","42","-14","-23","-107","33","-66","83","6","9","20","-23","-8","-23","28","-13","-27","-22","39","-70","-19","-21","-19","8","-31","72","87","60","29","-28","-57","-41","44","-7","46","4","-128","84","10","31","14","6","-9","0","-61","-63","48","30","35","66","-50","3","23","23","-5","-30","-40","50","2","164","48","3","15","21","-8","9","-28","104","16","-160","105","11","-63","197","18","-14","-86","36","51","99","15","-96","-12","-47","-91","88","36","22","43","-33","-46","115","7","-56","-26","-34","9","-26","-6","26","19","133","-41","80","-1","100","-43","11","-24","-18","-18","72","147","-7","17","137","-18","148","114","38","-98","40","78","16","3","164","10","229","14","-79","114","105","-60","115","-26","74","-2","177","57","16","29","65","-41","79","-17","105","18","-30","-37","-85","-7","160","24","-7","-77","92","-92","60","-64","-7","54","39","-2","-18","64","29","-96","-44","27","32","76","69","-9","47","51","-227","3","-84","16","75","-123","-58","5","95","25","125","6","-48","-66","-21","99","-3","64","-91","36","-12","-37","-17","-27","-196","73","-147","64","27","-10","76","-37","5","58","106","-74","-87","-76","23","14","1","-44","21","18","-39","-157","-135","57","52","38","-67","7","-194","-74","-48","-30","92","-97","91","-49","190","-37","-226","-47","-42","2","-73","92","-3","-192","13","-52","-27","13","60","-27","-72","-61","-67","0","-154","18","103","18","112","16","-50","-67","-24","-44","97","-90","-89","11","17","12","113","93","260","14","-93","-139","-272","157","-51","-64","53","18","133","-39","-64","22","62","-85","-164","63","-38","-44","-16","-8","17","-67","95","-15","-61","-78","-228","58","-162","117","-174","10","-91","11","-158","43","-257","14","235","9","-148","-88","-156","-10","95","160","16","-44","-79","-95","-101","33","50","-24","-173","78","-230","-42","31","12","135","-160","84","113","26","67","-36","-48","14","-47","-84","156","10","6","-85","39","147","62","-48","-100","-3","63","16","176","-64","36","-206","-7","6","-120","4","-130","-446","67","35","-4","-154","-110","-19","-18","-45","59","-89","125","87","-58","123","0","-133","-214","38","3","56","37","222","76","-10","23","-8","-25","14","-176","-9","48","-22","-100","-137","-1","104","185","47","55","61","51","-132","110","-43","-3","179","29","-228","7","10","-24","44","-44","-22","-21","73","21","-10","7","-286","55","-276","366","-101","-40","131","6","-148","-221","-201","41","50","2","-212","0","175","-214","-102","-93","10","24","-43","-17","-45","37","52","12","-258","-74","-236","-18","-59","197","-176","7","149","22","280","91","-47","-98","88","8","-282","-113","-12","-141","112","48","72","133","70","30","10","51","113","145","-278","127","-87","-57","9","14","0","-19","-114","-78","-21","29","47","79","58","-117","15","88","20","20","-176","67","-107","69","40","56","-30","-28","-165","175","-16","41","101","-23","-23","-52","249","-110","-10","-111","197","-113","-278","117","7","34","8","-9","-16","26","-25","-141","-80","209","-42","-262","-80","-27","186","31","-13","46","68","18","-133","129","86","-44","143","89","-14","-219","-48","28","-198","211","-136","-19","165","-6","-13","174","-55","23","154","173","-206","-88","-65","-50","57","20","29","43","64","-195","17","-2","51","-14","-22","153","119","-8","-34","-1","-97","-132","213","5","-138","-100","125","347","-77","129","-37","-22","-18","-75","108","11","0","1","-59","16","-25","-53","-37","73","11","233","-209","50","217","-15","188","153","98","-91","-267","-144","-82","-143","182","55","-117","92","54","-53","4","-129","-228","82","13","7","-201","236","182","-35","29","-11","77","-127","476","64","-112","-129","-149","52","31","82","-109","58","-10","-80","-87","22","143","261","-131","-43","-316","-3","-50","203","12","65","253","2","-229","-117","-43","-91","-91","-133","107","-137","-71","-85","23","-42","97","158","34","3","220","-81","-67","76","119","-76","290","11","187","108","-5","140","20","-48","-45","108","-381","35","53","143","27","56","62","-11","44","37","162","113","60","185","-355","171","-198","30","161","-57","-112","-77","180","30","-21","-53","151","-44","124","-22","-49","-58","295","123","55","134","-49","-3","-328","306","-190","-83","-43","-12","100","-66","212","169","198","-18","181","116","27","147","-438","54","-56","-21","-40","-25","19","68","420","221","-248","231","247","20","492","13","186","26","-146","-140","3","74","71","-58","271","-53","-97","100","14","160","-129","41","159","23","481","-88","-194","214","-282","-26","-5","47","407","-281","-136","302","-102","232","123","96","-269","-52","-86","-40","-81","51","340","188","225","109","-132","124","-202","19","60","363","215","23","40","43","39","57","370","38","-419","-198","109","218","312","82","69","-64","177","59","157","38","-160","52","207","284","-116","18","195","18","173","-38","-139","80","-218","-30","-22","81","-27","-44","237","173","26","190","-12","-131","277","11","109","138","-113","-126","-331","99","-138","37","6","-98","47","-82","-192","35","-8","28","29","62","-311","111","-7","-50","-503","-132","-110","-25","246","-35","71","3","20","21","-201"],"lmfdb":"agrees","derived":{"al":[[13,1],[73,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"949.2.a.f","letter":"f","dim":19,"charpoly":["151159350959","1496400510370","-1084862432689","-1684702395733","886550975000","566955717513","-220014454622","-80189773201","24120596351","5019648875","-1411591966","-142285086","45499740","1382051","-774724","9903","6282","-237","-19","1"],"traces":["19","4","5","20","8","8","5","12","24","6","27","9","-19","0","5","14","12","5","26","31","12","1","-2","-7","15","-4","2","-3","6","-1","13","13","12","20","36","34","-7","-4","-5","-4","31","-39","4","2","4","12","19","13","40","3","11","-20","-29","26","7","12","3","-26","65","37","33","7","0","-32","-8","-6","13","14","-15","-51","29","-6","19","28","35","27","8","-8","-11","38","3","24","50","-56","9","42","-3","-5","23","-32","-5","-32","-7","-52","-34","-16","-16","12","65","-28","32","-57","-44","-12","-12","-35","10","-23","-24","-41","13","12","-23","-42","-41","-11","-24","-38","79","-96","16","34","61","14","45","-67","24","2","-56","-6","94","60","-38","81","-8","-40","1","24","37","69","-42","-92","-27","-83","-2","4","-1","-89","79","8","-16","8","68","-44","16","-9","-11","47","-14","-9","2","-93","26","50","-99","53","29","-177","19","-158","138","-26","-21","-137","33","52","-18","-85","35","-94","-100","0","-81","-49","-38","-37","-47","-62","-22","-70","-39","10","-60","28","-5","-68","-7","-80","-29","-51","-15","7","48","-58","-2","24","-13","-14","63","-17","26","-44","-46","-112","46","24","-54","2","5","-108","-12","-43","8","-99","-101","-67","110","47","-18","-48","54","-135","-31","-5","-7","99","-73","-69","79","-75","0","-11","-69","111","-27","-108","-26","-85","-5","-22","108","-132","-66","99","80","-106","58","-68","10","-31","-70","26","-5","18","-70","-49","91","83","43","115","11","-8","-12","-79","103","-34","-57","27","119","155","66","-54","70","29","-111","-1","-50","-50","39","-32","-17","20","47","40","-23","127","-90","-35","2","-12","27","3","-52","-92","4","197","44","-165","110","-59","28","7","14","17","-53","-75","19","-94","46","-5","-33","62","6","-89","-15","2","49","145","-41","-110","19","136","-97","46","74","-49","-22","4","-26","-1","72","143","-41","-42","-145","46","11","83","-56","-62","-2","123","72","30","12","80","11","156","130","-15","13","87","123","3","8","31","-31","-20","-46","-9","89","194","-107","161","-10","-153","-6","-75","55","16","-18","82","-37","72","85","-110","12","-92","-52","1","51","146","-21","7","18","134","-28","-76","-89","89","120","-71","-13","-58","61","7","-120","-125","-3","78","216","-24","58","75","80","-13","38","-99","145","7","-117","6","-30","227","-42","386","50","-23","-12","-45","50","100","9","-122","115","4","88","8","-31","14","-123","-20","-96","3","19","97","28","-56","4","112","47","172","-54","-78","-36","-86","3","84","40","138","30","14","99","-61","96","-62","20","-34","8","75","1","35","-3","25","-4","151","-76","115","130","-134","7","16","53","-107","-144","-94","99","126","87","38","96","147","-128","4","-92","-33","-23","108","-27","35","-135","139","7","84","-58","79","5","35","101","24","5","17","-58","180","148","-166","47","75","-39","4","9","36","51","-32","-50","-75","32","209","-169","172","95","5","-31","-122","-146","146","-96","13","172","66","-15","-18","-76","-85","-17","39","57","-260","32","92","56","-86","-164","11","-159","294","99","-155","-4","76","129","35","22","-282","-52","100","125","10","15","86","66","-2","39","-128","-34","13","-149","46","49","122","-53","221","-89","12","-4","-14","127","6","-60","-135","105","87","71","-18","-29","261","-120","-12","-58","-154","165","-15","-105","42","94","146","-200","-59","107","-106","-19","-53","99","21","58","-85","-6","66","147","73","23","284","-69","-13","-77","-20","-35","-18","44","-7","-83","-34","-23","100","120","114","-40","-194","-61","135","-94","-74","68","239","65","118","-66","126","-119","-3","65","10","-48","78","45","12","24","133","62","35","-84","-159","-11","-18","91","164","-40","-21","-18","-37","220","-43","-29","58","-135","20","-4","-99","-130","-210","-165","-21","32","136","-125","269","-120","-83","29","-50","20","185","-29","-133","95","-121","-70","-336","-27","-118","-5","-26","65","45","-100","265","71","-107","-85","-175","-67","53","-50","-87","-7","-100","49","60","27","-263","0","133","35","82","85","-5","-24","-12","-216","6","235","256","-204","-37","-221","-13","18","224","-55","1","-3","-35","-87","-20","-68","32","87","-19","-84","79","-86","53","-334","26","176","83","-46","-277","-107","-15","-71","226","-267","124","-79","146","-65","-135","-138","-115","-37","-173","-171","215","-55","-19","-183","-143","79","-37","0","-127","6","77","-95","72","-127","-167","-170","343","106","-88","-33","-79","-66","25","64","44","-32","72","62","229","27","49","-229","-7","-64","-228","9","-34","69","48","-163","-16","-31","111","-45","-78","0","17","-5","152","-203","-40","52","-73","173","-197","-32","262","-42","32","-158","-23","-173","-75","-146","85","233","50","-67","-66","-67","-315","8","-84","-14","-92","-95","-212","166","255","24","-183","39","-12","-22","6","127","-108","-95","339","-18","88","-83","-194","-89","35","-242","36","-13","-204","-60","122","-48","9","-34","147","78","43","33","-4","-58","-14","188","3","-87","7","-329","55","-92","0","-46","-90","-14","65","15","-79","87","-273","-234","102","78","-65","-204","69","-98","138","22","51","35","128","-4","59","-325","-96","0","-152","-101","8","-63","-171","-29","-108","-47","21","-31","-108","-48","203","16","19","-62","-260","-112","6","76","-293","-335","269","88","262","-164","41","-296","264","182","-357","-19","-119","-36","89","-278","-370","-14","288","-67","-127","-44","-265","46","-28","258","-62","-229","197","-167","-196","-364","35","20","17","-141","-54","-35","110","-8","-47","52","-348","37","60","64","281","-32","-89","111","-27","30","-369","-92","-66","-79","-52","227","-113","-101","68","125","35"],"lmfdb":"agrees","derived":{"al":[[13,1],[73,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.291,"computed":"atlas","estimate":{"seconds":0.712,"low":0.434,"high":1.232,"bytes":2484360},"url":"https://sagebrush.space/atlas/mf/949.2.a"}