{"label":"515.2.a","level":515,"weight":2,"dims":{"new":35,"cusp":51,"eisenstein":3,"modsym":105},"old":[[103,8,2]],"T":[[2,1],[3,3]],"status":"proven","checks":["dim M^+ at levels [1, 5, 103, 515]: [0, 1, 9, 54] (certified at ell = 2147482501)","T = [(2, 1), (3, 3)]; h of degree 35 = 1 x 35 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"515.2.a.a","letter":"a","dim":4,"charpoly":["-11","-28","-15","4","1"],"traces":["4","-1","-1","-1","4","-4","-3","-3","-5","-1","-9","3","-11","1","-1","-3","-3","4","-8","-1","-7","4","5","9","4","-5","-1","-5","-19","-4","-4","8","-7","13","-3","-7","-13","13","3","-3","-21","3","4","2","-5","-16","3","-3","-5","-1","-4","16","1","17","-9","0","16","-11","3","3","-36","-1","17","-3","-11","9","-4","4","11","1","5","4","-9","-3","-1","-16","22","11","14","-3","-4","6","22","13","-3","24","28","-4","0","4","10","23","3","5","-8","-15","10","19","19","-1","-26","3","4","3","-7","-20","4","-5","-9","4","17","21","34","8","5","2","8","2","-16","9","-7","18","-18","42","4","4","20","15","-11","-5","8","10","-26","39","-1","-18","21","-5","-32","-5","1","23","32","20","-19","8","-14","-13","-16","-4","-11","27","-7","2","-4","-1","2","-55","22","8","-23","-11","25","-12","-7","-31","-33","-1","-1","13","3","-41","1","19","-3","13","-6","28","2","-7","-40","7","15","-1","-13","4","4","27","11","13","43","-2","-3","36","3","-12","11","-5","-13","-3","-27","-29","2","-5","-21","-1","-28","-3","-21","3","4","-6","2","-5","4","-30","-38","26","-16","2","4","13","-9","13","-5","-48","37","-45","-24","-16","2","56","6","12","3","-9","-2","-36","-9","-3","-17","-3","21","7","-5","21","-21","-34","0","-1","39","-4","-21","-15","-4","-7","8","-4","11","16","19","6","5","-20","1","-31","-18","-28","18","17","-24","-24","23","-35","-9","-6","-26","4","-36","0","-11","-3","-26","-49","16","-1","78","-11","-15","-11","-11","-20","6","5","3","46","24","-84","13","3","7","-69","22","6","-36","-35","-66","-13","-1","-1","58","-38","-27","-50","17","21","29","-1","12","-3","23","9","28","42","-11","-13","6","9","-45","9","15","-4","25","-8","-4","-26","-18","16","1","4","7","-55","33","2","11","69","-37","-45","-39","1","0","15","-33","-3","5","31","39","-24","-63","4","72","46","39","-1","-9","36","-40","-35","66","-3","0","-5","5","-43","-1","-34","42","-26","35","-16","-40","33","47","33","22","32","20","-28","0","11","-2","-16","-5","27","14","1","-56","-20","39","-3","-30","4","52","68","-4","22","8","-10","23","6","42","-1","11","37","22","19","17","-23","-4","13","4","-8","-39","47","-3","-5","-1","-14","30","24","13","-3","61","-38","28","1","-32","9","-25","-4","17","-32","3","-31","0","25","42","-27","-7","4","93","-35","52","2","10","0","9","6","38","23","-15","-22","-34","28","3","48","-10","-9","12","5","4","-2","-14","-14","-8","14","2","93","-39","-15","12","-26","20","-19","10","-47","26","26","18","19","27","30","-31","38","19","-77","-11","-22","-14","-1","-13","-22","80","-27","-26","25","17","15","-28","3","54","-43","-22","-6","4","-2","-16","18","-37","3","6","5","-13","-81","-7","0","79","-16","-25","-20","7","74","63","0","4","-34","-12","13","24","-5","-5","-59","-16","-5","-9","-10","0","14","32","4","94","-13","65","-16","17","30","-69","0","-66","21","41","81","24","-7","34","-33","-48","23","-39","8","95","-39","-22","33","5","2","-12","41","-73","2","22","-10","-27","5","8","16","-51","9","-31","2","20","41","-5","-46","-16","88","-41","-13","-41","9","68","-24","24","58","-7","26","18","-130","27","18","12","17","-95","0","-18","-9","-21","-4","-30","42","-31","-45","-51","-1","4","-26","-14","68","-34","4","-12","18","-24","-7","20","-24","-2","31","14","15","41","-4","-55","1","-11","-1","-19","-9","1","-5","87","49","84","9","8","72","46","-46","-17","10","-70","-70","20","13","-26","-8","-6","12","7","39","60","-19","-29","34","-1","-42","-45","-34","-42","-18","22","-39","-51","82","21","-33","36","37","-11","-5","-70","-88","-35","21","-32","-40","-39","18","-46","-5","21","-41","86","-18","1","23","-2","10","21","23","8","-77","79","16","32","-5","-116","-37","-39","20","-3","-122","42","22","-19","7","-45","7","16","8","7","-48","-103","-58","-14","39","27","0","39","-13","-80","43","22","-50","-16","71","-9","-10","-30","-4","53","-71","-60","84","-11","-23","59","-20","-2","27","13","-20","-47","-47","-7","-43","-14","-11","-105","2","-28","-3","12","-61","-4","-29","-1","-26","-54","-1","-42","45","-76","10","2","-8","-38","8","15","-55","61","-12","82","-15","22","3","-44","26","78","8","-41","35","51","15","-23","-71","-87","9","-64","-11","-18","62","31","22","25","28","82","3","-49","-12","-122","-21","-15","-3","-7","6","10","-38","-57","-31","84","-45","33","32","-33","85","34","-52","17","-1","81","31","-78","-5","-1","-16","-39","28","6","13","-35","-27","-103","-40","3","38","150","-32","88","-41","-42","131","146","31","1","-52","-1","7","17","19","-28","-12","-17","140","-3","24","-17","18","11","13","58","-43","73","-43","-6","-38","-5","-13","55","28","-13","-51","-2","16","2","-89","-21","66","-53","-7","-69","-6","-32","50","-40","11","62","-43","-9","7","-11","63","-35","7","15","-64","63","-2","-30","-1","63","13","-89","-6","-13","-1","-5","-105","102","4","18","-25","11","112","4","-2","52","-58","-8","27","-90","-2","-84","14","11","-31","-48","59","15","13","-90","77","67","38","43","-60","-27","24","-70","-2","118","75","-12","45","-3","23","3","68","-63","36","5","-10","-8","21","3","7","57","-25","8","-12","-15","65","-87","-30","11","-68","71","-18","-85","-5","-82","70","75","-27","-13","31","-94","-39","-53","-3"],"lmfdb":"agrees","derived":{"al":[[5,-1],[103,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"515.2.a.b","letter":"b","dim":8,"charpoly":["103797","-67401","-45660","19830","2725","-898","-84","11","1"],"traces":["8","-2","-3","6","-8","-8","-11","-6","11","2","5","-5","-23","5","3","-6","-13","-9","-12","-6","-15","-12","-9","-15","8","10","-15","-18","7","8","-4","-4","-21","-29","11","32","-27","14","-5","6","5","19","-2","8","-11","13","5","31","9","-2","22","-34","-15","-35","-5","33","-18","9","3","5","-42","3","-9","-22","23","61","0","3","-17","-5","23","-3","-31","15","-3","-16","-24","79","-14","6","28","-29","-22","-35","13","22","-10","-6","32","9","26","-11","-11","-1","12","59","-40","17","1","6","12","49","-8","27","15","42","-4","67","-47","12","29","-9","4","52","9","79","-60","34","32","15","-3","38","32","-10","-8","112","16","18","29","-10","20","-44","-10","23","15","3","-45","15","12","18","-7","-25","6","-31","-7","8","64","-51","-14","-8","49","51","-75","-26","4","-7","-66","-18","-30","4","29","2","-13","-42","21","-27","-11","63","17","29","-45","29","-37","-77","-11","5","26","-28","38","-32","-54","-76","23","9","27","-4","18","1","-73","-14","1","-12","13","-50","5","47","-1","-13","-17","-6","-7","71","-34","-13","-5","2","8","20","39","-19","0","-84","-32","-9","2","-72","34","-20","52","-8","16","51","-5","-29","11","16","-3","-11","-66","-13","38","-87","12","-9","-5","16","20","5","-29","-31","-81","-60","7","-100","-9","7","77","-12","4","2","-37","-59","-55","85","-22","-46","-16","-128","5","34","21","-7","-1","12","15","-138","44","-10","4","35","-66","36","133","-4","5","22","-76","54","60","-33","23","-121","-10","55","18","-3","-24","-51","11","-9","3","-26","-68","-143","-3","0","-2","87","85","-5","-93","-33","-38","-37","42","39","24","31","3","-3","-42","42","-23","60","9","37","41","95","-18","22","-59","-2","6","21","-23","-69","92","81","97","-61","19","-1","-49","-64","0","-32","0","-21","49","-3","39","-26","-79","-36","17","-15","-31","-39","-65","5","34","15","-5","-183","-23","-125","49","76","37","3","2","48","-17","70","31","68","-30","-2","28","-15","42","-57","-11","-33","3","36","-36","30","29","16","-64","-85","19","-3","24","-42","100","93","78","-79","-66","-69","-11","9","14","-105","-42","-104","151","-6","16","120","-54","56","-28","55","50","114","-35","29","-66","-6","-33","-38","22","17","27","31","24","35","0","96","123","15","-13","-57","139","-46","10","-22","5","55","-1","92","10","11","0","21","51","6","19","97","73","-19","-32","-138","30","97","67","-9","-41","-25","-84","42","-26","30","-7","40","100","11","53","-84","62","-8","11","-168","60","-219","-38","1","16","27","-80","2","-12","10","2","27","141","-59","48","6","74","12","40","-37","70","33","-30","-17","43","198","-21","-34","-1","23","15","98","112","-6","61","-32","-6","54","-12","-23","61","-1","-10","-49","78","178","44","-32","8","198","-138","-30","143","-27","-14","29","33","-17","-15","152","15","-8","9","-42","75","17","25","76","4","-90","-14","76","-2","-67","-71","89","12","59","47","-98","38","-88","-126","-12","-58","-27","-25","-108","-29","-18","-7","160","22","9","1","53","28","61","-4","-75","30","-39","-31","-52","-97","45","64","-16","-9","-61","48","11","19","-79","-32","-36","77","63","60","30","39","131","-83","-34","24","63","-13","50","-32","-110","135","-41","11","-15","-40","50","-146","76","3","-218","-20","-86","-41","-38","-88","-90","-61","36","-32","9","-31","8","18","10","3","123","-17","-109","8","29","8","6","50","-112","-56","-36","-42","-53","-16","-136","-76","-79","132","-18","55","250","-23","-30","-29","32","-77","36","-51","10","-133","-76","-94","-159","-20","-15","-252","178","-13","44","-108","-58","-50","-30","10","72","54","66","-3","-23","-126","-79","61","-39","-15","116","3","-38","106","-3","-30","-35","-17","-230","45","-56","54","-13","51","-15","-24","-4","57","-46","-12","66","-47","-38","6","-18","113","289","30","-16","7","37","84","68","-97","25","-20","45","-117","-62","-6","0","102","1","77","31","11","107","-52","-102","7","213","111","-162","32","-8","-187","-50","-67","65","-64","-13","67","-291","-117","51","-8","-43","-14","18","14","45","27","132","10","8","-55","-41","122","15","-49","-289","17","-58","-66","-51","65","-120","75","75","75","111","-134","-93","87","26","-104","49","-62","-285","-4","-60","-37","-102","78","7","-18","70","180","-4","66","-10","-86","2","-177","18","-49","138","158","165","30","-1","50","-22","-46","-4","35","-113","-105","-169","-29","-141","-95","57","32","-2","-128","-168","83","78","13","-172","26","-21","79","42","24","199","83","6","-21","7","-28","-48","-43","27","36","112","-77","34","11","-17","-162","15","-83","-63","51","65","20","9","-17","108","-5","42","154","-29","-123","7","-77","-35","45","162","-84","-224","58","-29","14","-55","-90","95","37","106","-137","195","1","77","98","66","55","-44","11","-32","-125","-144","83","-5","6","-221","63","74","-26","-80","-25","39","-9","28","-85","163","-158","-12","-38","-78","63","122","-55","32","-47","162","-118","-6","54","-25","-14","63","-41","76","-87","-53","123","-175","-23","-65","105","16","52","-9","-5","23","-91","206","-27","-27","-11","-9","-40","4","58","123","-55","59","-18","186","-94","-124","22","-1","14","-154","54","-80","73","189","-30","61","89","14","-238","3","-67","214","-1","13","-21","-64","122","12","26","-105","-250","-87","-13","19","15","-81","67","50","59","-120","-24","31","-5","71","-17","167","-16","-47","-3","-25","-183","-222","1","-189","-157","193","151","13","62","42","37","179","17","33","10","161","-37","6"],"lmfdb":"agrees","derived":{"al":[[5,1],[103,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"515.2.a.c","letter":"c","dim":9,"charpoly":["-313002","89626","260785","-54431","-31389","3802","1017","-104","-10","1"],"traces":["9","1","3","11","-9","0","9","3","4","-1","1","13","23","1","-3","7","7","6","10","-11","9","10","3","9","9","-1","6","17","-9","0","12","12","-9","1","-9","-17","26","-5","-9","-3","-19","-3","16","-4","-4","-44","15","19","28","1","-12","18","1","-3","-1","-44","27","-9","1","-13","22","11","11","7","-23","-59","22","-12","3","-1","1","-20","29","-7","3","2","4","-21","8","-7","-35","-2","4","5","-7","-56","-5","-16","14","-6","2","-5","9","19","-10","-47","20","-41","9","11","-10","-23","9","-1","-9","-44","6","-33","31","-10","5","37","0","24","-3","-68","8","-46","-28","-9","-30","24","-28","30","-9","-32","9","-31","0","1","-9","2","24","3","-6","-58","-27","-73","-10","-17","-12","-35","20","-8","9","-38","26","-31","-19","0","27","23","23","12","-12","-27","22","23","-35","-12","-55","-13","-25","-18","9","-47","-7","-97","18","-1","-14","23","25","61","9","47","-15","56","-16","17","68","63","-23","-17","-26","-36","24","85","29","5","-33","22","53","36","9","16","63","-45","-15","3","-18","101","18","59","19","1","-6","-51","-29","3","40","26","58","95","-16","36","50","10","-91","4","44","51","-5","-3","4","14","11","45","62","44","26","26","27","24","-15","-7","45","0","-66","-19","15","3","-54","93","-28","17","-55","48","-4","-1","-45","-34","29","59","12","-97","46","-8","-79","-18","32","-68","10","0","-1","13","-62","54","4","3","2","-18","71","5","1","58","50","16","-6","44","-61","21","0","27","-27","109","-72","-25","-52","9","25","-16","79","19","-1","2","-8","-72","-23","13","67","-59","-14","48","-22","77","1","61","3","-11","-15","-12","45","102","-11","15","53","-15","-70","-7","-3","-83","-32","-42","23","-21","-30","93","-39","59","37","98","40","24","-22","-22","26","50","-44","12","47","-3","-63","-154","-3","51","-61","-115","71","1","16","-39","47","-35","-1","53","65","58","-117","20","-27","-34","-77","103","-29","-46","-52","53","-49","7","52","-31","23","-33","-3","60","-42","48","-19","-2","28","23","-16","59","-4","64","35","-42","-12","21","34","-70","-11","5","-8","-65","98","78","-49","7","17","-54","22","-114","35","2","-58","24","-31","2","32","11","45","5","-4","43","-1","-77","-46","-5","22","-80","-13","-15","7","67","-147","50","-42","56","11","-45","67","14","5","83","52","-113","1","16","-78","14","-44","113","-14","-83","-132","-43","-127","6","-19","-67","18","68","-2","12","9","-44","-56","5","59","-70","4","-114","-9","-98","-36","-111","32","-19","-25","-200","-48","72","10","-14","-35","-49","-19","47","30","126","-50","1","-20","-39","-42","62","-114","41","-19","-80","-71","-110","-9","79","-39","-164","-92","-11","53","-62","-10","-11","10","-63","-125","-69","-55","23","50","-79","33","68","-9","78","-2","8","-7","1","-60","-1","-65","5","9","52","-63","-18","0","44","103","-86","-37","108","-6","64","-14","69","-60","33","45","-95","-6","15","-31","102","-10","-82","-31","10","28","55","7","-16","-5","8","67","-110","40","-37","-103","-77","112","149","0","175","-114","-129","-197","-24","-67","51","2","37","3","70","37","29","13","68","18","188","-29","-57","-8","-48","-83","33","23","46","57","-67","2","118","28","22","-45","-149","39","9","8","-188","-60","56","30","86","-22","-10","-69","-24","-6","33","27","4","28","83","-31","0","68","-30","-23","41","71","-1","9","150","42","46","122","32","26","92","-44","137","-9","4","124","39","-10","31","-41","-8","31","17","0","-53","-89","103","-11","-1","-21","-251","8","89","9","-38","-8","-136","-17","-2","56","200","-98","5","-24","180","-64","-124","121","-3","70","-87","-9","-162","6","-46","33","98","-106","58","-77","67","36","52","27","211","-69","-33","-55","73","44","40","-71","-15","10","88","-61","110","-82","17","-101","7","96","28","12","9","90","26","115","35","156","1","1","10","-20","65","86","-121","23","8","9","80","82","22","-9","37","-123","-21","-44","38","63","228","49","54","-26","-73","57","-42","-67","31","156","-195","136","-6","19","-53","-179","-34","30","0","-5","119","98","-76","-27","-47","81","56","54","-23","-51","56","33","-243","-23","-147","80","-139","33","-12","34","123","-84","111","12","223","-21","-132","-19","27","-102","-47","117","-112","-22","-46","94","336","3","-23","29","-66","62","65","35","-61","130","-82","28","12","19","-39","75","-77","55","93","56","-115","-118","13","-12","-176","83","-102","25","30","-18","19","71","18","80","-7","27","3","-9","-234","36","28","99","47","63","97","85","0","7","-47","60","-122","-71","97","-24","23","42","81","-18","30","-17","54","2","1","109","125","103","-60","14","-22","8","-142","-74","-23","-150","-57","20","63","-25","110","-187","109","-49","-61","126","84","15","-44","-9","-68","1","-50","147","-47","-28","145","-29","-107","15","-16","37","225","-1","-56","35","63","-3","-2","16","103","-21","-64","-17","-17","-79","80","106","62","-68","-133","2","-45","109","-63","33","-15","117","139","23","-158","149","36","-86","17","-113","-147","39","98","26","139","4","53","-8","36","104","83","47","-96","-24","-206","-9","108","-76","-85","123","138","18","-96","-29","-23","72","-79","137","-5","78","-139","-57","-50","33","98","89","-92","166","-22","-145","-225","88","103","-53","-249","-159","20","115","-36","47","-82","-18","-325","-9","145","61","-49","-52","-16","-223","37","71","84","-63","144","-101","0","21","45","-88","-30","-77","51","15","75","94","7","-18","-3"],"lmfdb":"agrees","derived":{"al":[[5,1],[103,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"515.2.a.d","letter":"d","dim":14,"charpoly":["5834971822","-6477808198","-809698201","2658137873","-400200865","-267953528","54522929","9867009","-2302339","-151260","41378","969","-334","-2","1"],"traces":["14","-1","1","17","14","4","9","-9","25","-1","3","-7","21","-3","1","19","-1","-20","10","17","17","-10","-7","9","14","-8","-14","24","15","4","12","-29","-3","5","9","41","20","4","-9","-9","25","-23","2","-10","25","57","-15","-31","27","-1","6","50","-9","-23","3","5","-13","-7","-11","-7","62","-41","13","-21","21","49","-18","-7","-17","-3","-5","-84","41","-39","1","6","-14","-9","-4","19","46","-43","-4","-91","-1","14","-33","-42","0","-20","26","-79","-41","-71","10","35","20","-40","-45","17","10","-61","-14","-95","17","16","-54","-41","39","-10","-23","7","-20","-148","-7","35","34","30","-44","9","43","-62","-38","-30","14","-84","11","-101","-24","-8","-1","-120","0","-13","-14","49","-31","47","62","24","28","-3","-14","16","15","-12","-28","37","53","4","7","-45","-55","-80","12","-17","44","16","1","-29","29","-57","41","-10","-3","33","-9","83","43","5","-18","17","1","-35","9","59","-9","66","16","41","52","-100","-27","49","20","116","18","15","89","4","5","-60","-17","4","-9","98","9","63","13","-9","18","23","-82","-29","25","1","-74","182","23","-23","-44","-2","36","-89","2","138","-66","-30","33","-10","4","9","15","-37","25","4","-33","135","82","57","-122","-47","-75","-139","-15","-18","89","65","42","-31","65","41","54","148","27","35","47","-82","24","-1","-25","123","-1","-5","6","39","-16","180","27","50","8","111","-70","16","-9","114","0","-40","52","-23","-24","76","-79","-54","3","6","58","-66","18","5","23","51","40","-53","-13","7","6","-2","41","-7","-113","116","77","15","-11","-38","-38","97","25","-7","23","5","-130","-55","62","101","-3","-19","-1","-41","-27","188","-65","82","13","7","-25","105","20","-21","27","6","-62","-8","21","95","40","-37","47","49","-103","1","30","-32","-18","-232","38","-110","-60","-7","-49","226","45","56","-17","-7","5","115","131","-3","-182","-99","-127","1","-5","-17","-65","-18","15","-84","92","54","-9","54","41","-10","-6","22","115","-39","-130","41","13","113","1","-146","-12","-48","-5","6","-20","-95","-42","127","-14","68","-71","121","48","-9","-142","120","-157","-87","-4","117","82","86","7","19","-55","46","-68","92","46","11","-76","-164","9","-43","-148","-17","-83","42","-4","-165","-103","85","34","-91","-56","48","-127","23","-1","-33","121","-86","-22","14","-85","-227","75","40","-33","75","-40","-13","1","-42","-55","55","-128","-27","0","74","116","45","17","-20","-13","-3","10","-20","26","-310","-17","4","-2","-79","13","196","-104","196","-41","-16","-130","201","-22","-71","-229","41","-58","-296","10","-258","-27","-3","-31","35","-2","64","-16","-117","20","-169","22","-65","30","-40","-55","-32","95","42","-45","3","-125","104","-6","17","-1","60","-92","-194","10","-199","-53","35","1","-61","-150","-47","-139","-164","-14","-162","192","112","-27","-95","-70","185","1","185","17","-132","5","-34","27","16","-153","-75","37","-176","-54","128","-172","18","-62","-41","97","5","-2","-99","39","162","-52","22","201","-10","-4","173","-43","298","-23","28","-97","302","-152","7","-15","21","-72","-159","-20","-107","236","137","85","-148","9","215","108","-180","-7","18","-11","128","-15","35","52","10","-17","-45","34","-132","99","-13","63","30","5","113","-110","134","-44","50","31","75","19","9","94","198","-118","-94","43","378","0","54","-105","-62","-70","-40","115","-128","-38","-247","-55","-4","32","-30","-69","53","-99","-277","14","-101","92","62","10","-84","-58","46","-50","-75","11","36","-12","-183","84","-101","39","90","59","282","-24","-140","-31","47","-107","-8","15","80","8","73","-1","-55","124","68","87","-120","40","128","144","-34","0","-118","12","114","-153","-13","44","485","31","83","-14","25","-41","238","82","49","-33","-137","-80","-64","-31","-36","63","-107","75","47","-74","-14","133","-110","62","-10","-17","12","170","24","93","-59","-32","186","28","45","-28","276","155","-3","40","25","-95","-132","-14","2","124","-19","-9","16","-9","-8","176","-68","15","-29","129","-166","-47","-12","29","-190","215","281","-28","67","-147","61","13","37","140","-45","24","-50","53","-45","185","80","22","4","-81","253","-156","-77","7","135","-43","-94","166","-45","83","44","-29","239","-55","75","148","-1","83","-80","-58","-271","64","151","12","-146","67","-114","49","-17","74","-118","-145","-7","44","196","122","116","-29","16","-209","-40","42","195","1","-65","18","-14","-12","-29","57","-57","-133","283","29","-65","142","27","124","-57","-18","-26","15","-158","41","462","-70","69","151","-10","40","-7","21","9","-3","87","26","-318","-101","33","-33","144","-79","-22","-9","-21","-240","-43","109","83","33","247","48","-265","43","-114","153","-66","-50","5","-11","151","195","-63","-18","-134","-24","410","92","17","98","-87","-108","223","1","-98","77","-255","59","-35","36","-240","45","124","9","276","175","224","43","59","66","-394","-19","22","-9","-150","49","29","-133","66","-297","-151","-29","-246","16","-214","-225","-102","181","41","107","44","-64","-36","52","135","-46","-303","-5","-100","-99","273","-97","295","-27","83","35","58","148","49","115","-191","-127","-370","20","-55","-25","-277","148","116","-124","-123","41","-25","18","-360","-19","-290","178","15","81","214","-108","62","89","-171","-14","431","-61","4","26","51","-169","-32","5","187","51","52","46","-60","180","-25","106","-67","-17","275","-7","22","-251","4","-183","316","122","65","-9","35","-127","-409","12","98","283","-453","235","144","9","-21","-189","-249","-83","63","-104","-82","9","-207","13","-15","132","-5","-106","-9"],"lmfdb":"agrees","derived":{"al":[[5,-1],[103,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.205,"computed":"atlas","estimate":{"seconds":0.357,"low":0.218,"high":0.618,"bytes":2126220},"url":"https://sagebrush.space/atlas/mf/515.2.a"}