{"label":"305.2.a","level":305,"weight":2,"dims":{"new":21,"cusp":29,"eisenstein":3,"modsym":61},"old":[[61,4,2]],"T":[[2,1],[3,3]],"status":"proven","checks":["dim M^+ at levels [1, 5, 61, 305]: [0, 1, 5, 32] (certified at ell = 2147482921)","T = [(2, 1), (3, 3)]; h of degree 21 = 1 x 21 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"305.2.a.a","letter":"a","dim":3,"charpoly":["-8","-12","0","1"],"traces":["3","0","0","0","-3","-6","-6","-3","-3","0","-6","3","-3","0","0","-6","0","-3","-15","0","0","9","9","6","3","15","3","-9","3","6","-15","9","-9","-15","6","6","3","-6","-15","3","-12","21","3","-9","3","9","-3","-3","9","0","15","6","9","18","6","6","6","-21","-24","-3","-3","6","-3","-3","3","21","9","21","-9","0","3","6","12","12","0","3","21","0","-15","6","-9","18","18","-6","0","-18","21","-3","6","3","-21","0","-6","-3","15","15","-24","9","-3","0","3","-21","-51","-12","0","0","24","-9","3","-9","-12","39","12","27","-9","-3","9","-12","-27","-6","-3","0","-18","-3","-3","6","-30","-3","18","-15","0","-15","30","-21","-3","15","-21","-18","24","9","3","0","15","-9","-3","-27","-9","-15","-9","-6","-18","21","21","-27","15","-18","-27","33","0","-9","-27","12","-9","-9","9","-24","-3","-21","42","15","18","-9","18","-3","-6","30","12","-27","0","-6","-21","-66","0","-18","-3","33","-36","-30","-6","6","-9","-15","15","9","15","18","21","6","-42","-3","21","-3","21","15","12","0","-9","-27","21","-21","-6","9","0","24","-3","-21","30","-9","27","9","3","9","-12","-9","-3","18","-18","-9","-6","-9","27","18","21","3","3","-3","-33","39","15","3","3","-54","-21","0","-9","33","0","9","24","0","-9","6","-9","12","-15","36","48","3","12","-6","-6","-3","-24","-12","-9","21","27","33","-3","-18","9","-48","66","-6","-6","0","-6","-12","12","-6","3","36","12","36","-6","-48","24","-6","27","21","-9","18","45","-36","24","-15","21","3","27","3","30","-57","3","27","3","0","-15","27","0","-6","-36","15","15","51","3","6","3","-27","-24","3","-24","-36","15","-33","-3","-45","9","-6","69","-21","12","21","-18","3","-9","-3","-36","39","-18","-21","39","15","-21","15","9","3","9","24","12","0","42","-36","-15","51","-3","9","-39","27","-15","-6","24","0","54","24","-12","6","-84","-27","3","-12","-36","-21","57","66","0","6","-96","-63","-3","-3","-12","27","-9","-30","-21","-12","-12","-27","15","0","-9","-18","3","33","15","-3","-12","-30","-21","-6","15","-51","30","-30","9","87","21","6","15","-18","6","0","66","-9","-18","-60","12","-24","-15","6","6","45","-27","-9","0","-42","6","6","48","18","-84","3","-78","-21","-21","-9","-54","-42","-12","3","9","54","21","-9","-6","45","-3","-21","-6","-3","51","-27","57","0","21","-33","-42","-3","-45","0","-42","-69","-30","24","6","72","3","-33","-63","3","-51","36","-15","24","-15","-15","0","45","-6","-15","0","-57","36","45","24","-3","42","3","45","-9","15","-30","12","-75","3","33","-78","-57","39","0","-3","90","12","-3","-3","0","-39","-51","0","21","-33","-18","-33","30","51","21","33","-33","-3","12","0","-3","12","-3","0","-33","-15","42","-24","0","21","39","57","-21","-24","12","-27","-42","-27","9","-24","15","0","24","-3","18","18","30","3","9","6","27","-15","-63","12","51","-42","15","-102","-39","-66","69","51","0","-12","6","72","-3","-75","-27","12","33","-27","-63","9","9","18","-66","12","3","-54","75","-27","15","-9","45","81","0","69","12","-33","27","-75","-54","27","30","30","63","-27","6","72","81","24","60","3","24","18","-30","-87","0","-99","-27","-39","48","18","6","15","102","-21","3","36","18","-3","84","3","-15","24","-21","-57","-6","-15","-18","-45","-12","30","9","81","69","33","3","-15","-54","-9","-18","-18","54","48","-3","39","15","21","-9","63","3","0","33","6","42","60","15","-15","0","-54","6","-30","-3","-36","3","-45","21","6","-57","39","12","3","-15","15","3","93","-15","0","-66","30","-30","21","-54","3","39","18","18","-51","-33","6","24","-24","-18","-45","-30","-72","-9","-42","15","-27","15","-3","-18","57","-12","39","0","21","21","-36","69","-15","-45","-45","-3","-6","9","102","57","57","45","3","-39","78","87","30","27","-9","-3","-57","-9","9","0","-72","12","9","15","75","-9","6","-27","9","-6","3","-51","-84","6","-30","99","-90","-39","18","9","21","87","0","-21","72","111","21","-36","-21","-21","-33","24","3","27","-30","33","-60","-3","-15","15","33","33","42","18","-42","-18","-60","-81","27","3","9","-3","33","-33","12","-3","3","-90","0","33","-66","-99","-87","9","3","-75","-69","30","27","-75","42","0","-54","-12","27","-30","-15","-42","9","-54","3","-33","45","9","-27","12","6","51","-9","51","78","9","27","24","63","81","45","-99","3","30","3","-81","-39","21","30","-45","-69","-9","-42","3","-30","-45","-6","-15","18","3","0","0","-18","-48","108","-63","-96","9","63","-24","15","-36","-18","36","66","51","57","3","6","6","-3","-63","6","39","-87","75","-45","-30","-99","-9","-15","-99","-12","-66","42","3","150","27","63","36","18","-12","0","-48","-63","-45","-36","6","27","-99","-81","-30","21","-24","48","27","-33","66","-27","-12","-81","-36","0","-75","9","48","0","18","-48","15","105","48","3","0","51","75","-24","-33","-54","-54","-18","-24","36","-12","45","51","15","30","3","75","-9","69","6","54","0","-48","-66","-6","12","-12","12","-9","9","-72","-69","-42","-12","15","-12","-21","-18","33","-15","72","3","57","-54","-9","75","6","-138","39","-15","6","-18","27","-48","-18","-12","0","-75","-15","-21","-75","-42","-48","-36","-6","63","-60","0","-36","42","42","30","63","39","3"],"lmfdb":"agrees","derived":{"al":[[5,1],[61,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"305.2.a.b","letter":"b","dim":4,"charpoly":["-568","96","122","21","1"],"traces":["4","-3","-6","3","4","4","-10","-6","6","-3","-2","-7","-1","8","-6","1","-4","-2","-7","3","6","-17","-13","6","4","-7","-15","-5","5","4","-21","0","1","-1","-10","1","-15","16","5","-6","6","-5","-1","29","6","5","-11","23","6","-3","15","-2","3","14","-2","18","16","25","2","-7","4","40","9","0","-1","25","-29","25","11","8","3","17","-2","22","-6","-37","7","20","-21","1","28","-6","-16","18","-4","22","-33","-19","0","-2","-1","-28","24","-15","-7","-15","-8","-6","-9","3","-1","-29","-23","16","6","-6","-8","13","5","-17","28","-27","4","-13","-13","-29","-3","32","1","6","6","-3","18","-23","4","-18","12","18","6","-7","16","-15","12","63","-15","-51","-19","28","-10","-5","27","10","7","-74","5","-31","39","-43","-15","4","-24","47","-57","43","-21","-6","-15","1","-52","0","41","-65","13","-3","1","-42","11","-23","-35","-1","-6","9","-30","-23","-10","24","22","-3","-8","1","11","8","-6","74","-15","-79","34","-12","14","16","25","-31","1","3","5","-19","25","4","10","-6","23","23","13","3","6","10","29","9","-39","-5","6","5","16","-28","-1","-55","60","-53","23","29","-19","-21","-66","15","6","6","10","23","0","5","11","26","15","-37","-11","-45","35","33","31","23","-3","-11","-21","3","6","-9","12","5","12","-3","31","4","-7","-30","15","-5","28","-79","32","-2","88","27","-2","-8","3","-51","33","-35","47","14","-79","54","-14","34","-2","18","50","-16","-26","18","-7","52","44","-54","16","20","-42","49","26","25","3","2","-31","-14","2","59","29","21","31","-7","-2","5","51","-17","4","126","-35","-101","92","40","76","-37","-21","-27","9","44","7","59","-64","0","-4","-48","-45","26","-1","-47","-11","-18","17","25","-20","71","-18","37","-29","-21","6","52","-22","25","-21","-37","7","-65","11","-27","11","20","-38","8","-26","-8","-43","-77","3","1","9","33","-17","17","-11","-24","24","14","-2","4","4","-47","-63","22","40","61","-65","-68","-6","60","-26","15","-27","-37","4","-13","17","8","7","14","-46","27","25","20","-73","-7","-35","37","-21","-63","22","-4","-37","1","39","-119","-36","-34","28","-77","-35","76","-71","-6","18","-64","-30","-129","-16","2","-22","98","-5","18","-44","55","-21","45","-4","2","-10","38","-36","22","56","91","16","-81","-33","105","64","72","24","-19","-110","20","39","37","0","81","25","31","-64","-2","-9","69","-23","-36","-1","-41","64","-99","143","-28","24","-53","22","-108","24","-38","-97","21","93","-15","-53","-2","-11","-40","-7","-103","148","-135","-62","-15","14","59","-34","36","-8","137","-50","-6","-71","-6","51","-12","-68","7","-9","-35","-28","75","51","3","-67","-88","20","-31","-1","128","39","43","56","-29","-15","9","-25","62","-23","23","25","-67","57","16","2","-63","38","-55","6","15","57","-56","41","-6","-59","125","9","-25","-8","8","7","-28","-25","13","-14","21","26","-42","5","-22","20","20","6","-17","28","-115","49","-5","28","-39","-24","97","-52","-27","2","3","15","-4","4","-38","-46","63","15","-13","44","3","-131","33","-13","76","-36","-117","16","-29","52","-23","5","41","-3","25","49","-12","27","32","-5","-19","-23","-38","1","-32","6","19","7","6","-2","-9","-10","8","6","-84","-22","10","29","-3","53","-119","89","16","18","84","-33","-12","51","-23","-82","-14","-33","-4","4","-1","4","49","-37","-18","-47","-62","9","62","12","-9","25","45","-13","18","-35","66","29","94","6","90","-78","60","-81","-7","-7","43","-107","55","16","75","-34","8","76","-15","-73","-28","40","-22","12","-33","18","-17","97","63","-2","11","21","-34","-15","-42","75","-73","29","-51","38","70","-48","82","-19","-18","-39","23","4","28","61","3","4","156","-10","2","21","108","30","-5","-38","47","79","-19","27","116","-47","30","-33","10","-87","-29","8","-7","7","27","-97","37","10","-74","0","-66","61","47","5","-39","-102","-27","15","-31","103","-7","-5","93","39","40","-40","66","1","-43","-13","-35","58","53","-15","8","-17","91","36","4","22","25","-22","-63","-24","-81","99","-7","-32","47","50","19","-9","106","-57","55","-21","-12","-31","43","34","-75","-46","185","-21","-39","-49","-73","6","-6","-70","156","-108","122","-15","-23","-51","-29","53","1","6","113","-1","-56","-52","-39","34","41","-49","0","-97","-93","37","92","41","5","-128","-26","-4","-65","63","96","85","132","13","-144","-39","49","23","-3","-11","-102","18","85","1","-51","64","101","9","-42","-95","-35","15","129","11","-124","141","-45","-63","-23","57","3","41","-131","-35","-107","-48","-139","-186","-1","90","7","-80","8","-6","8","18","-41","0","9","-27","-44","5","-74","-30","22","-84","31","85","-23","-62","-108","-15","-119","-10","-29","-15","-177","47","24","-41","86","11","-7","22","-78","-62","-53","-52","-3","35","-58","50","-26","-8","-80","-85","75","52","1","-101","-27","25","-140","11","48","6","-49","-139","8","41","6","145","74","-6","99","-29","-246","84","74","38","-157","31","36","-15","-36","-153","55","-18","-79","38","6","-134","48","34","52","47","-133","155","-12","-149","115","-45","29","14","-72","-92","22","62","16","-80","128","-90","-203","25","176","109","4","58","-31","93","21","26","-77","1","2","-55","-92","8","3","3","-132","62","9","5","1","-102","143","4","-19","-34","14","35","33","25","175","-54","-2","-120","4","-37","-2","92","-42","10","-26","-22","39","5","-6"],"lmfdb":"agrees","derived":{"al":[[5,-1],[61,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"305.2.a.c","letter":"c","dim":7,"charpoly":["91272","-69688","-2766","6089","-148","-146","2","1"],"traces":["7","-2","0","12","-7","0","12","-9","9","2","2","7","9","8","0","14","-4","-3","13","-12","2","-19","-5","2","7","7","-9","25","7","0","35","-35","7","13","-12","6","9","-6","-7","9","-8","-51","9","-3","-9","-3","-3","9","29","-2","11","-30","-5","-18","-2","-26","-18","-9","6","-7","7","-38","33","17","-9","-51","-11","7","-21","-8","19","-68","4","-24","0","-37","-3","-2","3","-14","-13","-32","10","46","4","-18","19","-15","14","3","11","-22","-46","-7","-13","-67","20","29","3","12","9","-33","25","34","-2","-20","-36","35","-17","19","56","63","-12","31","5","21","21","48","33","-2","-19","-2","-26","85","-7","-38","18","-23","-14","-7","16","81","-22","47","9","51","-9","86","22","-25","-29","-36","9","27","-7","87","-33","61","-37","0","28","-17","-53","-49","-35","-2","17","81","56","35","-23","80","-37","-49","-7","-58","17","-13","-34","-13","74","7","-30","-35","12","28","-2","1","20","-6","1","34","0","6","-9","-31","-8","-22","-86","6","29","5","9","-35","7","22","17","-6","34","-9","-41","49","-31","-17","8","18","3","-51","17","51","22","37","-58","32","-9","33","54","-19","-5","3","-19","17","74","-57","9","0","4","15","-18","3","51","2","-91","65","3","79","7","45","7","-9","-21","-62","-77","12","-29","19","76","-107","-44","2","11","-44","-73","-50","-11","-64","32","155","-16","30","-18","45","-36","-136","5","-11","-29","-43","-51","18","37","22","-40","-76","2","-182","-16","-84","54","26","15","-62","-24","94","18","-4","2","-18","-29","9","-41","10","-15","-154","-6","-99","-3","43","7","7","-74","-9","-57","-73","-7","-88","21","59","-48","38","-8","69","-7","67","-33","-80","7","17","80","-17","-52","18","-109","-97","9","85","45","-26","-15","51","64","93","32","1","11","111","-48","-1","-70","-7","47","153","69","55","21","-141","-63","150","-112","8","-62","-36","-7","51","-19","95","45","51","-5","68","52","80","26","-86","-4","0","-4","-29","27","24","-40","41","-3","-24","0","-100","0","13","29","37","20","-57","33","0","3","-16","-62","113","27","2","-21","40","-25","-33","-3","53","2","12","-85","14","45","-3","20","-104","13","-17","17","-54","35","32","58","112","66","35","-10","24","94","20","-1","-46","2","85","109","-81","-4","6","12","-218","-60","18","4","3","-12","67","-19","-77","28","134","24","15","25","-38","-63","117","-14","-71","-15","11","6","-3","-37","5","59","28","-11","123","50","-31","27","22","118","-117","30","-6","46","8","-13","-57","-43","7","15","-72","-63","44","13","125","14","29","46","67","-34","1","-44","41","-20","-35","-42","-9","-83","-29","7","-170","-20","11","-3","145","74","-35","-13","-12","125","22","0","-195","-9","200","-19","17","66","33","25","84","-89","-44","-25","-249","71","-165","121","-34","56","-3","72","81","2","-125","-35","220","8","20","53","-211","25","103","36","92","-39","-176","59","-35","40","45","56","-4","17","-38","-42","-50","9","-19","20","291","-35","-191","-56","61","130","-53","20","-63","26","-163","-13","192","12","-6","60","-143","-55","-31","-24","-39","-59","-63","-5","89","42","154","-40","-21","-28","-7","13","147","-21","-13","41","132","55","-48","-89","75","-63","2","-33","-42","58","-9","55","2","-56","81","-24","20","19","44","-58","28","81","2","13","-79","-23","-108","26","-232","-7","28","63","-85","-2","-170","41","-24","7","-127","-86","-9","-57","38","-19","238","-113","164","-18","103","65","-189","51","23","71","-166","71","-234","14","-158","44","115","-105","7","-35","-181","-7","35","-16","33","-62","-74","40","-81","89","-88","50","-22","22","-19","-156","-81","5","-47","2","-241","-45","32","-9","-171","-53","153","117","-51","-98","-92","-66","22","9","130","-169","-49","-52","-86","-71","-15","118","-12","-22","-274","-17","-74","6","25","-56","-51","23","157","29","26","-75","4","-51","36","-71","-243","-68","37","-9","55","191","141","54","-27","8","207","141","9","7","-47","122","-1","-6","-87","-21","7","43","-19","33","76","24","26","77","-61","-69","-181","38","-3","37","114","-109","9","68","0","2","-17","64","-11","-28","99","9","-11","-24","17","36","97","-49","26","53","-41","-61","168","39","49","-82","41","148","5","35","-9","137","101","42","2","-42","-14","70","59","-17","257","-7","17","-39","-81","-130","-83","9","66","-56","-55","-90","-75","-121","-35","177","-183","-151","56","23","69","-58","168","-30","-80","143","178","29","-112","37","72","41","-89","143","49","-25","-154","30","9","7","65","-126","-27","-57","58","45","25","99","89","-17","-48","-23","-53","25","13","-2","-37","5","37","34","133","-94","47","194","13","-38","-107","-56","8","-74","124","20","85","56","-7","-23","-4","43","-54","30","-76","-26","203","-3","35","10","148","-99","5","-12","-193","15","-143","-5","-28","101","-63","5","1","2","-110","-36","-201","-44","-1","3","-8","134","322","-20","-120","119","-49","84","6","-49","221","79","-90","-1","0","-10","109","3","-34","-15","-96","83","-152","0","41","-147","120","108","-6","-62","59","-37","212","9","-28","-53","-89","-24","31","-34","-164","-98","16","8","-38","97","167","-53","22","57","95","179","37","86","160","-142","6","2","-6","-68","198","76","-13","-29","212","-13","168","-34","-5","112","75","54","85","-9","198","27","-81","76","35","19","-78","-30","-75","-7","14","-70","-49","-116","-22","-124","-12","53","293","-17","-5","-156","-16","164","6","23","-136","-20","50","-34","-30","-8","-33","45","9"],"lmfdb":"agrees","derived":{"al":[[5,1],[61,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"305.2.a.d","letter":"d","dim":7,"charpoly":["14584","31292","-3816","-3671","596","78","-20","1"],"traces":["7","2","6","8","7","-2","8","3","5","2","-6","1","5","-8","6","6","-2","-11","9","8","4","3","5","-14","7","-13","21","-7","-13","-2","17","23","-15","-11","8","-18","1","-8","-11","3","-8","11","5","-21","5","1","21","-25","1","2","-5","32","-9","-22","-6","-22","-8","-25","-24","1","-7","16","1","-27","5","9","27","-39","-9","-8","-13","-14","4","-32","6","23","-25","-54","1","6","15","18","4","-42","-2","-14","-19","-23","-10","-11","-1","14","36","1","9","11","2","-39","-35","8","-29","55","45","12","4","36","24","1","11","3","24","13","18","-25","5","-31","-29","4","5","-14","9","-2","10","25","7","50","44","13","-26","-13","-20","61","36","-25","21","-45","-9","4","4","-7","11","10","37","-9","-13","45","19","-21","-25","-2","18","29","-5","41","17","34","-29","21","-20","23","-43","-42","53","31","-15","64","15","-23","26","-11","-2","77","-20","89","8","-50","-68","-25","-32","-18","-9","20","-6","34","1","-23","14","92","46","-8","11","-47","-15","61","-11","-14","-41","-24","38","3","13","29","57","43","-8","-28","1","-9","-51","11","-50","-29","-2","52","5","35","-28","75","-49","-21","-73","-5","64","55","5","-2","4","-49","38","1","-61","-84","13","-81","21","-27","-57","-57","-25","-25","3","12","-1","-8","1","29","24","45","0","2","-9","-98","1","44","-5","24","-46","-31","-4","32","-66","15","26","28","-9","-35","1","-23","-15","-22","21","-46","-72","38","-6","80","-46","-32","76","-22","-61","-22","4","-80","-8","24","-52","24","7","-25","-37","-4","-9","56","-24","-67","-103","-77","-37","1","-26","-23","19","71","-7","96","-31","-5","76","16","32","-27","-49","99","1","26","-43","-49","-16","-27","8","-58","-29","3","5","119","9","-12","-19","9","-28","3","34","-101","27","57","-28","5","-10","-39","-45","13","37","35","-9","147","31","-38","80","-8","-2","-80","-13","43","-13","-67","-11","-75","-19","-14","-60","-38","48","76","4","2","52","11","-41","-32","-20","27","-51","54","6","66","-66","27","9","23","36","19","35","-38","-25","-20","-80","-31","31","-54","83","-86","-71","-39","1","141","-14","226","27","6","-41","-79","-42","-26","15","-125","33","72","-21","18","-58","32","66","-13","4","120","0","-18","-47","-42","-38","-25","-5","83","-2","138","-8","74","144","-14","48","115","100","7","-19","11","-10","76","28","-23","5","-92","119","87","-10","45","77","-29","2","-11","47","127","31","-44","-1","-45","14","-13","-33","14","-22","-17","42","-80","36","-76","-25","99","25","1","49","-6","21","28","9","-3","36","-139","-2","11","12","-13","-98","-99","2","17","106","-3","153","-39","-81","56","104","33","-35","37","-20","13","-5","8","29","-100","16","9","-29","-40","159","-33","-32","55","63","-74","103","-18","45","77","-69","1","-75","12","-24","227","18","57","4","15","5","-66","8","36","-119","59","5","-117","24","-44","-101","-80","-91","1","-28","-37","-18","-148","11","82","24","118","-5","3","-2","45","5","25","24","-117","50","-95","98","13","-74","-7","59","44","18","38","98","-97","33","-25","-76","-157","57","-15","5","-79","-10","128","-100","-31","-30","7","-3","67","-29","-51","1","-76","1","4","171","-117","63","-78","5","-34","10","-125","-27","-14","4","-97","30","-128","9","-40","102","128","37","-2","5","3","-61","0","10","26","-69","-82","51","25","20","58","-53","-160","7","-79","-42","-189","47","50","21","62","5","-200","44","-95","-69","143","-31","13","69","58","-55","-42","-26","-138","58","-35","-1","-13","1","115","-23","-1","-20","-107","-72","-132","-52","61","-7","-132","-100","46","36","-19","-38","51","135","-25","6","35","-57","-188","21","-7","109","33","5","-45","40","-84","-12","-110","-9","-74","165","-33","6","4","-3","63","-132","-88","4","82","-11","-94","16","-7","2","-47","-39","67","11","-74","-83","-158","-45","10","-99","73","96","-71","37","-69","123","17","-82","-9","78","3","-55","-63","-13","65","54","-11","38","45","-21","-1","-55","43","19","-84","120","-26","-95","-21","-45","161","26","-27","-25","-10","-21","87","188","-2","118","21","76","-15","18","-67","49","19","-24","29","-28","177","-15","148","-5","91","19","64","-37","41","-82","-181","36","-35","17","111","-41","-187","-82","34","74","116","-122","-65","-29","11","-35","-131","61","21","44","97","-5","234","-20","25","36","49","9","23","167","125","-77","114","-43","-115","-20","-8","58","-42","-17","168","73","90","53","90","23","159","-251","31","13","40","-78","-29","-15","-17","112","53","111","64","-45","75","67","45","15","-102","115","7","-23","-23","90","-179","-181","-197","26","-41","164","175","-50","-11","18","77","26","8","-2","20","-32","91","-132","77","-85","-184","-23","200","-20","32","-116","-145","1","89","174","156","7","-43","8","-173","37","-135","31","-50","45","195","-85","-191","-68","46","-20","63","110","-25","-157","222","46","-160","-32","64","-23","173","-132","-18","-101","37","-175","30","-9","-64","60","17","27","20","-51","-14","61","80","-6","69","-17","-78","-16","34","116","-55","-151","160","1","-20","119","-107","92","-23","46","-126","34","-84","14","24","9","123","-57","92","39","255","-5","81","46","38","2","-32","-98","-8","56","2","-88","-89","11","-28","-3","82","-96","-47","-56","-143","-90","49","-15","-84","-31","-71","6","61","-81","-124","2","191","-11","-6","68","-97","-48","-14","88","170","51","45","-41","61","-104","182","64","-24","35","14","160","-56","38","-34","-122","79","-17","3"],"lmfdb":"agrees","derived":{"al":[[5,-1],[61,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.185,"computed":"atlas","estimate":{"seconds":0.263,"low":0.161,"high":0.456,"bytes":1983309},"url":"https://sagebrush.space/atlas/mf/305.2.a"}