{"label":"995.2.a","level":995,"weight":2,"dims":{"new":67,"cusp":99,"eisenstein":3,"modsym":201},"old":[[199,16,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 199, 995]: [0, 1, 17, 102] (certified at ell = 2147483053)","T = [(2, 1), (3, 1)]; h of degree 67 = 1 x 67 (phi(ord eps) x dim S_k^new); 7 primes, 0 rejected"],"newforms":[{"label":"995.2.a.a","letter":"a","dim":1,"charpoly":["-1","1"],"traces":["1","0","1","-2","1","0","2","0","-2","0","-6","-2","-4","0","1","4","3","0","-4","-2","2","0","0","0","1","0","-5","-4","-6","0","-7","0","-6","0","2","4","2","0","-4","0","-6","0","8","12","-2","0","12","4","-3","0","3","8","6","0","-6","0","-4","0","-6","-2","-13","0","-4","-8","-4","0","5","-6","0","0","0","0","-13","0","1","8","-12","0","8","4","1","0","-12","-4","3","0","-6","0","3","0","-8","0","-7","0","-4","0","14","0","12","-2","6","0","-16","0","2","0","-3","10","-16","0","2","8","-9","0","0","12","8","0","6","0","25","0","-6","14","1","0","20","0","8","0","-3","12","-8","0","-5","0","-6","0","-13","-4","12","0","24","-8","-6","0","-3","-4","24","0","-13","0","-6","0","-7","8","20","0","6","0","0","0","11","12","-6","0","0","0","3","0","8","-16","9","0","2","-24","-6","0","0","4","20","0","-13","0","2","0","-18","-24","-10","0","18","-8","2","0","-4","6","-6","0","1","0","5","0","-12","-6","-6","0","0","-16","24","0","-4","-12","0","0","8","0","-14","0","-13","12","-12","0","11","0","-2","0","6","8","-22","0","-12","0","9","0","12","12","8","0","15","4","26","0","16","26","-3","0","16","0","-12","0","-15","8","0","0","3","16","-24","0","4","8","12","0","30","0","6","0","3","-10","15","0","-25","12","-8","0","-6","0","-25","0","14","0","-6","0","-4","0","-4","0","-12","0","-8","0","14","26","-24","0","-6","0","30","0","0","-2","16","0","6","-16","-13","0","-25","24","-16","0","0","0","-10","0","-4","-16","-27","0","36","-8","-3","0","-12","-2","-4","0","-16","0","24","0","-13","24","-4","0","5","8","5","0","-9","-6","42","0","-20","0","0","0","21","12","-34","0","20","0","9","0","0","-6","6","0","9","0","-3","0","25","16","-13","0","8","0","12","0","12","14","-34","0","1","0","24","0","-16","8","20","0","36","0","-12","0","-16","-28","-30","0","0","0","-3","0","8","-24","-7","0","-8","4","12","0","28","-12","1","0","-12","0","-22","0","-6","32","-12","0","-12","0","-13","0","18","-4","-1","0","-24","0","3","0","-26","6","24","0","-3","-20","-16","0","-6","32","0","0","-4","0","6","0","6","-4","3","0","24","-16","-27","0","36","18","-13","0","-8","0","17","0","-15","0","-21","0","-16","-24","-7","0","-21","-16","10","0","20","0","-48","0","-4","-12","-12","0","9","0","-8","0","0","-50","14","0","-16","0","11","0","12","12","-18","0","12","-28","0","0","-10","-2","0","0","36","0","6","0","3","-40","15","0","-26","0","20","0","-16","-16","-72","0","9","0","9","0","14","6","2","0","-21","-24","-23","0","12","16","24","0","-3","0","0","0","18","10","-10","0","20","0","-16","0","-13","12","26","0","24","0","16","0","2","26","33","0","-32","8","-18","0","6","-24","-9","0","2","0","0","0","2","-48","18","0","0","16","-25","0","2","12","-24","0","-36","0","8","0","3","6","28","0","-6","8","-21","0","6","-48","1","0","9","0","-43","0","-10","26","25","0","-10","0","-12","0","-48","12","14","0","-6","0","-12","0","20","14","0","0","6","-16","1","0","24","-40","6","0","-34","0","-4","0","20","-12","12","0","0","0","6","0","-4","0","8","0","30","0","36","0","-14","-22","6","0","-3","-24","26","0","-51","12","-22","0","-12","0","-8","0","0","0","11","0","78","0","5","0","-5","-6","12","0","28","0","6","0","24","-16","-6","0","-22","32","-24","0","44","-18","24","0","-13","0","-18","0","9","-4","-9","0","-8","48","12","0","12","12","41","0","-16","0","0","0","24","0","15","0","-39","-8","-32","0","26","-40","-6","0","8","0","13","0","24","26","5","0","-3","0","-30","0","-34","-4","16","0","9","0","24","0","24","36","-6","0","-46","48","-15","0","-13","20","20","0","0","0","6","0","-32","-36","-6","0","24","16","-31","0","-24","-4","-27","0","-7","0","4","0","24","8","0","0","30","-12","20","0","20","12","30","0","-18","0","52","0","6","-2","-42","0","36","0","-6","0","78","-10","0","0","15","0","15","0","20","24","-25","0","11","12","-32","0","16","12","-45","0","23","0","-6","0","48","0","-19","0","-25","32","-9","0","0","-48","35","0","-24","0","7","0","-6","8","3","0","50","24","-4","0","0","0","8","0","8","0","-24","0","-4","-16","-12","0","-36","0","9","0","-8","28","-48","0","-20","0","-28","0","2","26","-40","0","-24","-24","18","0","20","24","-6","0","-48","0","40","0","-6","-22","-48","0","0","0","0","0","42","4","18","0","16","0","20","0","2","-12","-12","0","9","-16","72","0","-13","44","-6","0","44","0","-25","0","0","24","2","0","32","0","48","0","12","-18","0","0","-18","0","5","0","-10","-24","-21","0","0","-24","-10","0","42","-16","52","0","-27","0","-30","0","18","-30","36","0","-12","-8","18","0","6","-52","2","0","-7","0","-12","0","15","-32","-26","0","-4","-52","57","0","-18","6","32","0","36","0","-6","0","24","-32","0","0","26","0","-13","0","1","24","26","0","-10","0"],"lmfdb":"agrees","curve":{"cremona":"995b1","lmfdb":"995.a","ainvs":[0,1,1,-15,19],"rank":1,"torsion":3}},{"label":"995.2.a.b","letter":"b","dim":1,"charpoly":["1","1"],"traces":["1","1","-2","-1","1","-2","4","-3","1","1","0","2","-2","4","-2","-1","0","1","4","-1","-8","0","0","6","1","-2","4","-4","2","-2","0","5","0","0","4","-1","4","4","4","-3","6","-8","8","0","1","0","0","2","9","1","0","2","6","4","0","-12","-8","2","0","2","6","0","4","7","-2","0","2","0","0","4","-4","-3","8","4","-2","-4","0","4","8","-1","-11","6","-14","8","0","8","-4","0","-10","1","-8","0","0","0","4","-10","0","9","0","-1","14","0","0","6","-8","6","2","-4","-2","0","-8","-4","0","-8","0","-2","-2","0","0","6","-11","6","-12","0","1","4","-10","-3","-16","-2","-4","0","16","2","4","0","16","0","-20","-4","0","-4","0","-1","2","8","-18","-4","-10","-2","-8","-12","0","0","0","-4","14","8","-12","5","0","-11","6","-6","0","-14","-10","24","-9","0","4","-8","0","-4","4","0","0","-10","-4","-1","-2","-8","-12","0","4","0","0","0","16","4","-24","-14","6","0","4","-9","16","0","-1","-3","-4","14","8","0","6","0","0","2","0","-8","4","-6","8","2","8","-12","0","-2","-16","0","0","-8","26","20","1","0","0","8","-14","0","0","-6","-12","-2","0","0","-16","0","0","2","-2","-11","10","-6","9","-12","-8","0","28","1","-12","-4","0","-10","0","-17","22","-16","16","2","2","-4","-12","0","6","16","20","-2","14","4","-8","0","16","16","0","0","28","-20","0","-12","14","0","26","4","-8","0","24","5","-17","2","0","-8","30","-18","0","-12","0","-10","0","2","32","-8","-28","-4","6","0","2","0","0","0","0","-12","6","14","4","-8","-24","-12","0","7","-4","0","0","11","-2","6","4","-18","0","0","12","14","4","-10","2","8","4","-9","0","0","0","4","8","-24","0","0","-2","4","-14","4","-8","0","4","0","-4","10","0","-4","-32","-3","-3","-2","22","8","8","-12","-10","0","6","4","24","0","0","0","-2","0","-4","16","20","-4","20","-24","-16","6","0","6","8","0","6","4","0","-27","8","16","8","0","-32","-1","-32","-1","26","-4","0","-14","-11","8","0","0","10","6","-32","0","0","0","-14","-10","40","0","40","8","26","4","0","-18","0","8","24","-2","0","8","-8","-4","2","0","-4","2","0","-16","24","0","9","0","-24","8","-10","26","20","28","-30","1","0","0","16","0","-8","24","-28","-14","0","0","-22","0","-36","-2","0","-12","-6","2","8","0","-28","0","0","-16","4","0","6","0","0","-10","-8","-2","0","11","0","10","-20","-18","-12","9","-36","12","0","-8","0","0","-16","28","-20","-1","20","-12","-18","-12","14","0","18","10","-10","0","32","-11","16","22","0","16","0","16","0","6","-38","2","4","4","-8","-12","0","0","-23","6","0","-16","-12","20","2","-6","8","14","0","-4","30","-8","4","0","-2","16","10","-16","6","0","8","0","32","28","-8","20","-8","0","-16","-4","0","14","-24","0","0","26","-44","12","-22","-8","0","0","48","24","0","7","40","-17","-12","-2","-56","0","0","-24","-2","30","-10","18","0","0","-32","-4","32","0","0","10","2","0","-24","6","10","32","2","8","-11","-28","32","20","-16","6","0","0","10","2","-12","0","42","0","32","0","0","0","-40","-4","1","6","0","-14","0","4","8","-24","-8","-24","-10","12","-18","0","-4","-3","22","-4","40","0","-16","0","-32","33","0","-2","0","-6","-18","4","-4","-6","8","0","-4","0","26","12","0","42","16","4","0","10","-52","2","0","-40","-36","4","4","9","18","0","0","0","0","0","-4","-4","16","8","28","-8","-12","0","12","0","0","-2","-20","12","0","-14","24","-4","34","-8","16","0","0","4","56","0","42","-4","8","30","0","0","0","4","0","-32","8","-1","0","-3","4","2","2","22","16","24","13","8","0","12","24","-10","-18","0","0","6","0","-4","16","24","-2","0","-10","0","-14","0","8","-2","32","0","24","-4","-8","-16","-10","20","0","-12","-38","20","-8","24","0","-16","0","34","14","0","-44","-6","-16","8","0","0","-32","6","24","-4","0","0","8","-9","14","8","14","-16","24","8","0","0","-12","-32","-12","1","-14","-32","0","5","-10","26","0","4","0","0","-28","-42","-46","-11","-16","-8","16","0","6","0","32","10","-8","-6","-22","-32","-14","0","0","0","-36","0","-30","-14","-56","-14","0","40","-10","0","0","40","0","24","-25","26","-28","-4","-9","0","-44","-6","-52","0","0","-8","26","24","4","-6","54","0","4","-8","-48","-8","-30","20","0","2","34","0","0","-4","-4","6","0","0","4","16","-38","24","-60","0","6","9","-58","0","0","-24","28","24","-40","-10","0","-26","0","20","-4","-12","0","-30","0","-1","0","0","-64","0","-2","16","44","0","14","-8","-48","8","0","-28","-12","14","-16","0","-16","0","-4","-22","8","0","4","-36","0","10","34","0","36","12","0","-6","0","6","-20","8","-12","0","-6","-28","0","0","16","0","48","16","-16","4","48","0","-46","6","-24","0","0","0","64","-14","-31","-8","2","2","6","0","14","33","0","0","12","-10","-80","-20","4","-6","60","-12","0","-9","-2","-36","-12","36","16","0","0","8","0","0","48","0","-24","-16","-1","-28","-18","-20","16","-3"],"lmfdb":"agrees","curve":{"cremona":"995a1","lmfdb":"995.b","ainvs":[1,0,1,2,3],"rank":0,"torsion":2}},{"label":"995.2.a.c","letter":"c","dim":3,"charpoly":["5","13","7","1"],"traces":["3","-6","-1","6","3","2","0","0","-2","-6","0","-2","-6","0","-1","-12","-9","4","6","6","-4","0","-12","0","3","12","-1","0","10","2","-1","24","0","18","0","-4","-20","-12","6","0","6","8","-14","0","-2","24","0","4","11","-6","1","-12","0","2","0","0","2","-20","2","-2","-23","2","-12","-24","-6","0","-7","-18","8","0","14","0","-15","40","-1","12","0","-12","4","-12","-9","-12","-6","-8","-9","28","-34","0","9","4","-32","-24","-27","0","6","-8","-12","-22","0","6","-20","-2","-22","0","-4","0","-3","-2","-10","0","2","0","-25","-4","-12","20","16","-4","16","0","-33","46","30","-2","3","24","-34","0","14","12","7","0","-32","14","-1","0","8","-16","-19","0","-36","-28","0","8","10","30","15","-40","22","2","-27","0","0","0","-1","12","8","-8","8","24","-32","18","11","12","0","12","26","0","5","18","8","-28","-37","68","0","0","-14","-18","8","-4","24","64","21","0","-20","54","0","0","24","-12","4","8","-18","24","6","22","28","0","3","0","-5","40","48","2","6","44","20","24","0","8","18","0","-2","6","-14","0","-28","20","-15","0","2","-4","-1","0","-2","50","42","4","-16","24","0","0","7","-32","0","4","4","-32","1","4","-4","66","16","-46","11","-60","20","0","4","-6","3","-24","0","68","1","48","8","-28","-12","-12","0","-14","12","0","0","64","51","-14","-35","2","1","36","0","-16","0","16","-17","38","42","0","14","72","-14","28","2","0","40","-16","-16","-20","18","-30","-28","-30","2","0","0","-44","56","-2","24","54","-12","-24","-23","0","-15","0","-10","2","4","0","6","-16","-12","8","-3","-16","0","-24","35","64","-34","-18","-6","-22","-14","0","-8","0","17","-12","24","-52","-7","16","47","-10","37","-18","0","-16","48","0","8","74","23","-68","-64","0","-22","0","-21","28","14","18","16","-16","-1","0","-13","-48","11","-64","-15","-42","-18","48","-56","40","-64","-54","-20","0","-1","0","-68","-48","12","12","-16","-8","14","0","0","36","-12","-24","12","-12","20","0","-11","-56","4","0","23","-6","-16","-12","-42","10","30","-40","-9","-96","0","0","34","-12","-42","-44","8","-40","-6","-48","55","0","-24","-8","9","-36","40","0","-9","4","-8","-6","0","28","-13","4","26","56","-34","-20","8","30","8","0","-50","-4","-58","4","9","2","-34","0","3","4","0","-50","33","-84","-32","0","13","32","15","-24","33","0","90","-40","-27","-14","5","32","-40","0","4","0","0","-8","6","32","24","-2","43","-8","52","8","8","-66","-12","-32","12","0","61","-22","48","60","-6","-40","0","4","-120","-8","64","6","-36","-6","-26","0","-20","0","1","-68","-31","-2","12","-96","-26","-16","-22","28","0","24","-13","0","-1","0","-18","14","-4","-24","-11","0","11","0","8","-64","-52","-102","-3","0","8","70","0","-2","-36","-2","60","-72","-10","0","-19","16","6","0","-28","0","56","34","2","-38","15","-84","4","0","0","-28","-54","-72","-25","28","68","0","-38","-4","-6","0","64","-80","-12","16","-29","32","-34","20","132","-36","0","0","16","56","3","30","26","-4","-58","80","17","0","16","44","-1","-112","59","0","19","-48","32","-54","-33","24","10","48","48","46","8","0","-24","30","30","0","64","20","-38","-2","-20","-8","12","-24","3","-12","0","16","54","24","-18","0","34","6","-34","16","-70","0","48","0","60","-70","74","-64","14","68","16","0","0","12","56","22","-84","28","7","-24","24","16","15","0","-22","-34","-18","0","-32","-48","-88","52","-15","14","0","-32","87","-94","-1","10","-28","-74","36","0","-22","0","60","16","8","-96","-48","56","64","-16","-72","-74","0","-46","-19","0","2","128","-17","0","5","44","-28","0","-36","42","-48","-28","-17","-28","-36","0","32","-32","0","16","-13","2","-13","8","40","26","0","48","10","-22","42","0","7","30","54","42","-17","36","15","-96","0","112","66","-40","12","128","37","0","22","40","-64","0","24","2","68","0","71","136","-27","48","-108","-24","0","0","-54","32","40","8","0","-28","-12","-16","-9","0","-8","-36","17","24","-1","0","36","-24","-28","12","0","-40","82","-44","8","22","6","56","40","-8","-32","0","54","-46","8","6","68","32","-4","24","-66","84","0","-10","-32","-60","65","0","-43","18","-42","96","-21","0","11","-4","-52","-68","88","12","-23","84","43","0","0","-16","-64","40","11","12","41","48","-9","-110","26","0","41","48","-44","0","117","-18","90","36","5","-80","0","0","4","18","92","-4","28","16","8","0","-38","0","36","-28","-72","26","54","-8","-37","-52","22","-56","0","68","54","0","-24","-16","0","-30","-76","-16","88","0","-30","100","18","4","-14","116","-14","0","-28","-18","0","-2","8","68","8","0","-24","-6","78","-4","-32","0","0","0","24","-66","-12","84","56","64","11","-8","0","-26","21","-32","20","-30","-80","0","45","-66","92","0","-20","-180","12","80","54","54","-26","14","-12","-10","0","0","-63","80","-46","0","-115","-8","-64","-8","24","0","-24","8","18","-12","87","0","-26","-48","4","2","0","-86","68","8","86","-104","-44","-8","-18","-16","41","0","-14","24","-43","32","-44","-24","6","92","-49","-122","0","22","4","-96","-18","0","28","12","72","40","32","0","-142","-8","53","240","3","8","42","-128","10","0"],"lmfdb":"agrees"},{"label":"995.2.a.d","letter":"d","dim":9,"charpoly":["153","3","-400","-21","286","28","-73","-10","6","1"],"traces":["9","-1","-5","7","9","-3","-15","-18","10","-1","6","-11","-29","-2","-5","23","-19","-17","-16","7","-13","-9","0","3","9","10","-2","-12","-8","-3","4","-57","-25","-24","-15","24","-14","25","17","-18","-6","36","1","22","10","-11","-11","3","-2","-1","-7","-35","-46","12","6","27","-24","2","10","-11","-11","7","-25","44","-29","-2","-9","-5","-41","-2","-11","18","-13","-14","-5","-40","-11","-1","-14","23","29","26","6","1","-19","-6","72","-55","3","-17","57","57","31","-65","-16","1","-43","1","-7","7","-7","74","20","56","-13","4","-11","-122","-30","-9","3","-30","-20","0","0","-29","-91","-25","39","3","17","3","-30","-58","9","2","21","-31","-21","10","6","33","17","4","-2","-11","-34","52","30","-12","27","38","-23","40","-8","72","89","-43","-29","-3","32","108","-50","9","4","125","-58","22","47","-57","58","18","10","-20","-25","20","-25","33","14","-24","-4","66","-35","-114","-15","96","49","-90","68","24","-63","11","-20","-36","-14","15","44","125","-19","25","41","125","-7","79","17","-35","-42","55","9","-18","71","19","-14","79","-6","46","33","-77","-1","36","0","5","-70","21","1","165","4","20","74","22","77","145","-55","134","10","-17","-38","23","-40","-11","90","32","-83","87","-11","64","-33","0","-4","3","-63","15","54","-37","-2","154","63","49","32","-1","37","61","-74","15","-7","89","-104","-16","61","-35","-25","-14","-21","-92","-46","-51","-53","-103","10","12","-31","45","69","-12","6","-127","3","-61","-14","27","35","79","13","-24","-24","-13","24","-98","40","2","-35","5","-32","-64","10","36","-115","72","-1","-11","-65","1","29","-144","-11","-20","-15","-61","-16","7","13","-116","-76","12","-25","-7","44","-83","-37","44","-12","-30","42","32","-29","24","-13","53","-17","-2","-21","-13","-3","143","-9","-104","-25","-62","28","-5","-69","76","0","-2","-41","-53","-45","130","-4","-2","30","-74","41","-70","-11","153","47","-50","-45","18","-11","120","33","-6","-13","-65","46","12","-15","-14","74","-1","-26","-8","-5","-202","34","51","1","-40","-43","8","-33","-119","-11","-69","157","-48","104","-1","-22","45","58","44","-14","101","-96","-1","131","23","70","21","-6","-33","29","125","-56","-40","-5","26","-85","61","-89","-89","6","173","-5","17","61","1","-147","44","-38","43","-19","76","57","-177","158","-6","49","-117","32","-16","72","-62","-14","-190","-11","-55","40","63","86","-111","3","75","-22","-156","33","-17","-140","58","-1","52","57","-12","-60","-28","-66","57","-17","5","-77","31","31","11","-50","-177","-66","-65","-76","-53","36","100","-16","6","-7","30","-53","1","24","-69","22","-68","-43","-26","-100","83","-77","1","-4","-169","-122","-95","-7","-65","81","-67","75","7","-1","29","47","-189","-7","-75","-23","96","28","74","-77","-150","37","-40","20","-190","2","7","88","56","14","133","-70","-105","-13","62","-11","28","23","4","107","100","28","50","-11","138","-74","-119","-39","-122","-21","65","31","79","-30","-167","53","-7","-16","-9","-56","159","34","-44","3","110","-5","-65","-88","-30","132","-77","104","45","-20","-171","-86","95","51","0","12","-106","63","-177","0","-135","67","186","18","-29","-56","-112","34","16","-91","-2","-41","41","-76","-25","-9","-85","-7","52","39","59","-5","111","44","3","-36","-30","65","-104","17","103","-33","163","-98","3","37","5","6","-25","-30","138","-87","-194","16","-58","-87","78","51","56","9","54","-49","-30","-23","2","-16","-36","81","-19","21","3","-29","-1","30","-31","99","17","-29","-52","-21","-22","-71","-51","-48","10","-138","63","45","86","6","-261","-71","105","84","33","-21","-192","59","1","17","-286","-86","58","132","4","28","150","-49","-149","-2","107","59","27","60","-11","53","87","-30","-52","-34","44","62","-3","97","52","-86","9","107","-282","30","-170","83","82","116","-12","10","-41","27","131","27","92","-18","-57","51","38","-39","-195","-12","-173","-23","-79","92","61","104","40","4","-100","20","-167","-8","-83","-130","12","-50","72","-23","131","-93","-7","89","-67","-42","-286","24","-43","70","91","9","59","-29","-119","-25","-30","106","-3","73","231","40","-81","32","181","-19","81","109","108","69","-137","138","-228","-50","47","-81","152","-7","9","12","66","53","3","4","170","-17","120","108","125","-29","-149","162","-39","-58","-35","-26","81","50","22","66","-43","70","113","47","7","-16","-115","113","-57","53","-15","-3","-34","58","-10","55","-11","78","18","-108","-61","7","-44","10","-136","89","51","191","-20","137","-40","67","6","-25","-11","27","267","-107","20","126","-79","16","-147","-25","-214","134","103","-23","33","29","78","57","6","14","-194","-99","-28","70","-24","57","-204","-82","60","-4","311","-113","-29","-89","66","0","4","126","157","-35","-85","101","74","160","-114","-25","64","-64","115","-15","63","-24","15","47","96","55","16","89","-21","49","-167","-36","348","3","-90","-119","-116","5","-357","68","129","231","-34","33","24","-62","-41","31","-181","-63","199","-59","-277","-97","11","130","-110","9","88","-20","-3","-95","136","81","-36","-109","-28","14","-210","-14","-103","6","-53","51","15","-17","-107","-99","-231","44","44","-13","-7","77","125","133","272","168","110","-19","24","-27","-147","33","25","116","129","-40","229","41","-61","-30","195","100","125","-111","208","153","115","-7","55","55","87","108","79","-60","17","-26","-54","17","27","31","-131","63","-35","-43","95","172","343","-42","31","-38","125","-13","55","147","144","101","-131","9","62","-25","114","85","-18"],"lmfdb":"agrees"},{"label":"995.2.a.e","letter":"e","dim":13,"charpoly":["97","-475","364","1605","-3225","1053","1711","-1127","-268","281","13","-28","0","1"],"traces":["13","1","-1","7","-13","-11","-5","0","6","-1","-12","-3","-23","-6","1","-9","11","-9","-26","-7","-23","-11","12","-19","13","-18","-4","-24","-20","11","-16","1","-13","-16","5","-4","-28","1","-17","0","-30","6","-5","-26","-6","-19","-7","5","-18","1","-11","-39","6","-20","12","-17","4","20","-28","3","-51","17","9","-4","23","18","-29","25","-21","6","-3","-34","-23","26","-1","-52","21","69","-10","9","-27","-38","8","27","-11","22","-14","9","-33","9","5","53","-5","27","26","-11","-13","53","-9","7","-41","-32","-6","24","23","-44","19","110","-56","11","3","-30","62","88","-12","-17","-33","-7","-1","19","-31","-21","24","22","-13","42","-23","45","-17","18","10","-21","-11","62","4","-37","46","6","-18","24","-55","-16","65","52","20","36","-15","23","-37","-11","-4","-10","50","9","16","-45","-70","-2","37","-1","-30","-18","4","-30","13","-46","13","125","22","16","-30","-38","5","106","-5","-28","89","56","-20","4","-147","33","62","20","28","-3","-46","9","-43","-1","-39","7","13","-45","17","29","14","115","-13","0","-13","-9","30","87","30","30","37","15","-1","-6","-14","31","-12","51","5","33","8","88","14","26","-63","-19","3","-22","6","43","50","81","-66","19","-6","16","131","115","7","24","1","114","36","-5","-27","59","-38","19","18","38","31","105","16","-1","41","-71","-42","45","11","-39","36","132","-3","39","-89","-8","1","152","-6","15","35","79","6","20","1","-7","75","-2","-12","29","-15","-59","-70","17","-47","47","27","-50","-4","23","38","26","-12","-20","65","-147","-28","2","28","4","-37","-34","-49","-3","-97","-57","19","-22","51","-90","9","85","-22","-17","53","64","-34","-60","-9","81","26","57","-25","4","-32","-144","-2","-8","-23","8","-11","7","-13","-18","23","-97","3","-63","29","28","-7","28","8","-25","-77","-40","-10","22","21","43","29","-84","-154","-6","16","-22","9","-58","3","-111","-77","46","19","34","41","-32","-27","102","23","77","42","52","-73","-26","6","-131","-70","48","1","94","34","7","37","52","-39","38","-7","75","-21","-153","-21","68","18","-69","-30","-13","-56","92","10","-33","-78","-1","11","-9","-40","-191","-12","-149","27","-151","102","-62","-117","38","47","-15","-45","7","-8","45","-3","35","7","-27","-111","4","-22","-169","11","32","9","-19","14","-22","1","9","-94","8","14","-130","-26","94","-45","-9","12","-59","20","-27","33","-67","-26","24","-67","-9","52","72","-1","40","-5","-24","-58","-38","82","-53","-49","-135","-35","39","5","-25","64","-49","-46","-27","78","-117","82","-130","-26","-48","-61","-62","11","11","-72","-29","-16","-4","13","46","84","-81","51","-53","24","37","-142","-51","9","-1","149","17","-83","-7","39","-25","-37","31","41","-23","159","72","12","32","113","-92","-41","-4","6","-164","-128","-157","32","-24","-86","95","-90","75","-23","-58","39","76","-5","44","-7","96","102","24","-19","18","108","41","-15","-110","-53","21","45","17","56","-65","-33","-25","-112","-11","64","-163","-108","-52","-3","-130","49","25","68","30","-22","-77","50","-57","-62","63","122","-55","-25","-88","-20","144","15","129","12","-39","-45","-96","-70","17","30","-200","-26","-80","33","-54","45","-23","-100","7","67","-53","-5","-16","1","-35","1","25","-12","-19","16","-118","11","88","31","-5","3","-147","68","21","89","63","-134","-61","-24","20","99","-122","44","-22","27","-68","3","78","13","26","165","8","-175","-42","66","48","55","1","23","219","-91","-205","42","-45","-33","-81","-37","-156","17","26","145","-75","-76","-18","252","-1","45","102","-10","-109","-45","-45","-60","21","-133","84","-105","5","11","78","150","90","44","-62","22","-4","9","-113","-4","75","17","-57","-82","37","-31","-207","-60","-28","-46","-52","16","1","-15","-6","66","3","119","60","18","-6","-55","-164","-84","-24","-58","-9","15","41","55","50","98","81","11","16","149","-15","-32","51","-65","5","-52","109","-76","-52","24","100","112","-87","-20","-59","0","-16","18","-36","79","-57","-179","159","15","169","58","-36","38","-23","-26","93","17","21","37","-13","93","-114","-62","11","-103","25","-42","-89","4","-115","59","219","61","10","-79","-35","-48","-66","-50","83","111","-96","-95","-9","214","72","-65","191","-16","128","39","-108","132","45","-9","-77","-52","17","70","-89","-12","39","-50","2","-120","-55","14","111","-37","-7","44","-115","-57","1","37","21","5","10","30","-158","-39","121","-78","18","132","81","-45","92","-4","136","57","-241","67","30","73","-94","87","-14","-13","185","-7","-13","-47","46","-6","-3","52","309","-13","182","62","61","121","-125","41","68","11","90","-22","-38","107","-172","-26","-16","103","-110","-98","16","30","49","111","-195","171","38","144","-28","18","61","-5","155","169","-110","-126","-106","105","70","106","51","5","35","-76","-105","91","28","-3","20","-41","-85","-89","-39","208","124","15","-56","55","-28","95","3","20","45","-31","68","5","-4","-2","109","-57","191","147","-29","321","-185","31","-33","62","-124","29","104","-62","-13","-75","-182","-3","-20","79","-46","14","-38","-28","125","208","71","-49","3","39","93","109","45","46","56","-71","21","163","-9","-27","112","-172","58","43","-26","103","119","15","1","28","-59","42","-159","39","119","170","-101","158","-7","225","68","67","99","-13","149","69","-89","-8","45","32","-155","94","-242","-17","23","115","-49","155","-29","-39","-163","-122","123","-14","233","212","179","3","-115","155","114","101","73","13","114","-121","-22","-67","0"],"lmfdb":"agrees"},{"label":"995.2.a.f","letter":"f","dim":19,"charpoly":["1611","-4959","-129429","756078","-1000302","-1125219","3045679","-867930","-1613216","967936","238371","-279357","14028","33353","-6305","-1520","503","1","-12","1"],"traces":["19","5","7","25","19","3","7","18","16","5","0","-3","37","-18","7","29","23","7","14","25","21","7","8","-21","19","2","4","28","-4","3","8","11","17","2","7","-6","24","9","-13","18","-6","8","-1","-14","16","-11","13","-17","12","5","-35","45","20","-8","0","-45","22","-14","-12","-3","25","-3","-5","42","37","-34","17","25","-1","-18","-27","6","47","-12","7","60","-3","41","2","29","-13","-38","32","-21","23","-50","0","59","15","7","17","-3","67","-1","14","-73","31","31","-25","25","-25","-68","18","-12","21","-80","-1","28","56","7","-33","-42","58","-16","8","-93","49","7","-5","-21","15","-47","-6","-10","19","-102","15","41","27","2","-66","-67","19","4","4","5","-32","30","10","28","-27","-78","-17","-38","-4","-26","1","93","23","3","4","0","60","33","8","-113","38","-46","-11","11","-54","-124","24","-34","17","-36","-3","9","64","2","-38","-110","49","2","7","-128","-43","80","-16","-6","25","-141","12","-76","24","-63","-30","65","-23","9","-43","-159","77","-23","-13","-1","-16","5","-19","18","-29","-73","-54","-57","-6","-134","-43","63","-69","8","-10","-91","-64","-7","-1","-43","46","70","-18","-14","-39","-79","-45","-158","16","-39","6","-45","70","-11","-86","-156","67","91","13","-88","-1","-12","-84","-17","41","-91","-36","91","12","-74","51","-3","-120","5","-27","-143","32","-29","-35","55","-36","76","33","45","-53","-120","5","8","20","-129","-17","23","-46","-8","65","-7","7","-24","0","-59","35","101","-6","-45","-47","-89","13","-90","22","55","-2","114","26","-14","1","59","-24","64","-12","-10","27","42","-81","-3","-33","-49","23","218","25","-88","43","-79","-14","-3","-43","-200","56","0","-5","-3","118","67","-1","42","12","-70","8","-90","37","-166","85","71","-81","-34","-77","-3","31","147","17","52","109","48","72","25","47","-34","44","-2","-1","57","43","186","142","-18","12","-6","75","122","-27","-75","53","108","-53","6","39","36","-29","-14","47","9","40","72","-5","-12","-86","19","88","-40","7","-10","22","-37","13","60","-71","-28","-43","-55","-3","3","37","166","-10","41","38","29","104","94","2","-49","246","-5","-33","29","-104","-33","-68","51","-13","53","-12","-48","63","-38","3","-115","71","247","32","-23","63","141","-109","-21","93","-84","-106","-81","23","16","47","107","74","-50","-51","137","70","56","0","50","54","-60","115","59","-42","-11","-34","69","15","-17","-8","-84","-83","7","-24","140","65","8","17","-228","90","124","-62","-3","11","-215","-51","-245","67","81","4","71","6","-1","42","-107","46","142","14","80","73","40","-113","-73","76","-179","-46","114","31","120","160","7","-53","31","36","-105","78","65","-25","-9","115","137","-3","25","-5","119","-19","27","-25","5","-65","-24","44","-68","-87","234","-29","92","18","240","60","77","4","-12","14","-75","-86","-145","21","114","-1","48","-39","-80","-39","-70","30","48","-1","68","2","111","-135","28","-17","131","-149","171","56","155","65","7","12","7","-32","9","54","-106","-33","-90","169","31","-24","-42","22","-115","28","59","58","121","164","25","-117","-16","32","10","-55","25","8","83","49","74","50","-93","-46","32","-182","186","49","138","-21","23","36","7","107","39","7","68","-5","185","-7","-89","-132","-21","24","130","-31","12","15","-33","7","163","-112","-47","-67","-31","40","117","-6","268","-3","52","28","-10","39","90","-95","-246","19","158","71","318","13","-102","-14","96","15","-37","15","75","109","165","-102","41","-53","191","-227","-40","27","-34","15","-195","-120","2","16","-35","-21","234","-66","59","59","-91","-108","-67","131","-6","-271","-97","19","-40","6","16","64","4","14","160","219","81","4","209","175","-63","-50","5","-239","-97","-62","100","-32","252","-140","-255","-11","30","-38","233","-71","86","10","206","67","72","-136","28","-58","35","-185","-331","-27","-88","-126","-13","-61","-78","53","69","-92","287","-17","-19","24","75","-132","-38","48","130","-298","-111","-4","139","-48","-348","-212","-26","-145","-27","83","-39","1","45","184","-36","-30","93","-54","-169","-137","137","23","89","25","-70","-90","3","25","183","-162","99","4","21","49","-91","33","0","-19","-141","-74","-10","60","147","-43","-354","-51","33","-58","142","13","-241","8","78","55","80","-260","-113","-117","191","-192","31","38","51","86","-89","34","-46","0","-89","32","33","-11","-25","54","125","-177","11","-55","-169","-213","90","-54","-62","63","61","-106","-124","204","83","121","-88","24","40","19","-81","51","-34","-63","-36","-169","-18","17","217","79","-189","-27","-36","118","101","-150","61","-3","-130","172","-55","-143","9","35","240","-223","30","64","146","79","-24","-98","2","-69","-80","86","-232","-38","-73","-55","-61","-37","-110","28","-246","-30","89","49","19","-95","114","34","2","61","68","-188","63","7","55","-20","-163","3","-128","-59","-20","-25","35","-43","-35","-30","-228","27","80","-25","-274","-97","315","-16","-107","-59","24","-95","-6","258","-17","-245","-175","25","-185","-157","203","-25","-141","-34","-382","-59","6","12","199","67","86","-3","-76","-253","-242","-254","-30","24","97","-178","-513","-193","-63","-5","-43","-201","411","-30","416","91","-211","-61","65","-15","-128","-96","-90","-23","-18","-121","-19","135","9","64","-81","52","-23","-43","-329","-38","-107","-146","-159","-13","88","-255","95","77","65","19","-441","-128","-23","28","-165","92","42","-13","179","-1","-29","-13","-1","-67","-87","-202","27","-16","169","4","195","-93","5","15","12","17","137","-19","78","135","-26","-99","18"],"lmfdb":"agrees"},{"label":"995.2.a.g","letter":"g","dim":21,"charpoly":["1247","-19971","-57630","365927","841455","-1606073","-3951835","1630233","6688693","1696858","-3066945","-1301177","637823","330596","-71145","-40805","4484","2605","-149","-82","2","1"],"traces":["21","-3","1","27","-21","3","11","-12","30","3","0","3","33","6","-1","35","-15","-9","26","-27","37","5","-8","23","21","2","4","24","12","-3","28","-27","19","46","-11","56","30","1","11","12","18","10","11","10","-30","29","-3","19","54","-3","21","65","-18","-10","0","19","-20","4","-6","-3","65","5","9","16","-33","-14","17","-55","51","-6","15","-34","23","-2","1","44","25","-93","2","-35","41","-6","-2","45","15","26","6","-81","15","9","45","-7","-27","27","-26","9","49","-71","-15","27","23","-28","30","-4","-37","40","-35","-116","100","-5","35","82","-76","-52","8","-1","103","-43","-15","-23","49","-21","-4","26","-21","-26","23","-99","5","-2","46","75","11","-46","-4","49","-4","-84","18","-24","-1","-4","3","-8","-12","18","-13","-107","49","3","80","-10","-100","-111","-28","-7","106","-110","25","27","18","-6","-6","-40","-19","-52","-1","-187","46","-46","68","10","-29","-106","11","-32","49","-136","-16","-56","77","17","-38","-12","-30","-127","42","-99","119","-1","-21","37","-15","-73","-11","-7","-32","-99","21","-12","11","87","-30","-69","-18","86","-59","23","-21","-10","2","-65","-44","-69","-11","-11","52","-186","-18","-10","-41","-39","29","-86","30","1","18","-167","106","-29","-66","0","-89","-265","3","-36","77","-114","-4","-19","99","-25","-82","-45","-54","-166","7","-107","28","3","-11","-31","16","3","-21","5","-56","-152","9","-65","-49","52","-67","-172","18","13","-91","7","54","10","-39","-69","5","-8","0","81","5","-15","-70","-19","43","63","79","-80","20","-13","-32","-190","40","-4","-59","77","84","-178","6","128","19","-120","23","3","39","-49","-25","-144","-65","184","37","95","-26","-5","17","-56","-18","-16","-9","53","-24","-133","15","-16","4","56","2","44","33","10","-143","-51","3","14","27","83","107","-9","-17","216","-27","-44","-80","55","89","214","46","82","-51","-15","-129","-4","186","6","-32","-2","-51","-110","-15","161","19","28","67","34","13","144","-23","102","-23","157","28","-56","65","2","10","89","168","24","-1","270","-30","-65","-11","-44","141","114","29","-83","-25","103","-69","100","94","93","-30","-53","-160","-132","-2","49","134","-3","7","35","12","141","12","167","-41","73","-66","114","31","6","-73","189","3","-25","2","-15","-121","-17","39","-45","73","188","-10","83","-15","72","-119","-161","138","-26","53","179","-14","56","-6","270","2","-46","-55","81","100","187","-44","-103","-15","141","-110","84","85","-9","-20","36","177","44","-45","56","36","90","-122","7","103","109","49","11","27","-35","48","243","172","-27","-156","57","-152","164","26","-38","-69","-106","59","-9","76","-43","0","-100","-49","-110","-224","171","87","71","-76","361","82","205","15","-89","-101","-31","-23","-27","99","103","-15","-109","-23","161","83","38","184","28","-91","84","-109","-68","-30","10","22","69","-112","4","6","227","98","175","37","-58","-115","160","107","-40","-5","138","32","40","35","-170","-144","25","47","116","5","49","101","147","-100","-275","-111","19","200","5","-108","-121","-16","-118","-35","138","37","413","16","-82","30","73","18","-223","76","13","-134","-105","5","52","-104","148","119","-265","-8","-211","-51","-108","-146","1","72","316","26","76","-103","-50","-163","105","130","43","-169","-203","51","-64","15","31","1","49","-8","23","72","26","35","168","-49","-9","-45","-119","70","21","41","-175","150","-23","4","-246","-65","68","-126","-26","209","112","-65","216","21","50","-267","232","133","26","-36","-236","47","-45","-23","-61","181","-39","-22","99","-71","287","43","40","-5","-110","-95","49","96","2","-284","175","85","-182","-46","99","-23","63","-64","-75","167","-160","43","-163","-11","134","-110","74","-8","46","-110","-34","-113","261","4","-41","45","-89","-84","-49","37","-83","-56","60","4","-188","-56","113","13","84","46","-167","237","-96","-18","-122","-171","-10","8","24","70","-53","111","131","1","122","-134","245","115","4","-371","-115","-48","263","-3","-79","14","145","-116","8","84","120","124","-35","12","107","-56","16","102","-18","-17","-183","383","25","13","-15","-246","78","-64","107","78","81","-17","-177","-49","-283","-23","98","104","-3","-129","-215","-148","99","-80","345","67","95","-199","10","-67","109","-40","168","100","-61","-283","-92","101","111","8","52","151","375","28","2","-273","88","128","7","159","87","2","-115","-106","-249","-8","-5","164","110","-72","-33","118","-37","-25","27","-72","173","25","-27","-55","-49","149","-122","-18","186","-371","-95","-14","6","-198","-223","91","-64","6","-160","159","79","-225","40","-3","-14","43","194","19","-171","-131","-109","169","52","-118","117","-194","-169","1","-222","-44","215","45","187","1","-172","-13","-170","-46","-122","-145","36","-6","46","-103","250","34","188","-68","-17","-297","-275","-17","-10","0","144","10","-299","29","95","-183","-18","8","106","-87","-270","88","-97","-11","-361","108","-7","-109","32","-21","-232","21","-221","-49","117","-112","4","-93","136","-489","48","-35","-93","16","-299","-73","-68","53","56","52","-283","-33","-89","-77","-15","-23","547","-73","-17","-130","20","-47","-134","38","-59","1","-538","-139","12","-73","154","-18","-194","30","-51","92","71","-19","127","-123","-189","-17","-393","-42","-292","-35","41","-87","99","57","52","-24","-322","-119","-104","-213","91","11","1","-348","-209","-142","5","21","127","110","-125","-60","-37","85","-4","-101","155","15","-469","-131","7","-254","73","-148","-327","298","-22","11","-341","-307","307","-171","7","249","-9","-158","-461","32","-33","-162","-119","-173","99","-285","-234","-127","-267","-21","190","87","150","5","12"],"lmfdb":"agrees"}],"seconds":0.376,"computed":"atlas","estimate":{"seconds":0.753,"low":0.459,"high":1.303,"bytes":2507799}}