{"label":"95.2.a","level":95,"weight":2,"dims":{"new":7,"cusp":9,"eisenstein":3,"modsym":21},"old":[[19,1,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 19, 95]: [0, 1, 2, 12] (certified at ell = 2147483629)","T = [(2, 1), (3, 1)]; h of degree 7 = 1 x 7 (phi(ord eps) x dim S_k^new); 1 primes, 0 rejected"],"newforms":[{"label":"95.2.a.a","letter":"a","dim":3,"charpoly":["1","-1","-3","1"],"traces":["3","1","2","1","3","-4","0","3","3","1","-8","-10","8","-4","2","-3","2","5","-3","1","-12","-16","-4","-4","3","-6","8","12","-10","-4","4","-3","4","18","0","-11","20","-1","4","3","-2","-12","-4","-12","3","12","0","10","11","1","4","4","16","20","-8","16","-2","6","-20","-10","-2","28","-32","-11","8","20","2","-2","-12","-4","-4","-13","2","-2","2","-1","8","-12","0","-3","-1","-18","-32","20","2","-16","-28","-4","2","5","20","8","-16","-4","-3","24","20","-15","-16","1","-18","0","-10","18","-12","14","14","0","-10","-16","12","-32","8","4","-4","18","-12","-16","-40","-4","15","30","-4","20","3","4","-2","-33","52","-6","20","44","0","32","8","-18","18","-4","0","12","-12","-20","-4","29","-10","10","50","8","-34","-4","-4","-3","42","-16","4","-8","14","28","12","-3","-8","-23","-12","2","4","-24","18","20","1","18","-3","-56","-20","-8","0","0","8","2","4","-11","26","-28","-8","-8","20","-24","-40","12","-40","-1","0","10","28","-30","4","-39","10","0","24","3","-28","-10","24","-44","-2","28","4","-28","8","-12","0","4","40","0","-4","-12","-16","-22","-20","-12","-32","-28","2","-20","3","-34","14","10","14","12","48","2","-10","22","0","-28","-64","32","48","10","14","77","6","6","11","0","-8","-4","-12","1","12","44","-16","-40","4","13","-32","60","20","4","-34","-28","28","28","16","4","-44","30","6","20","-4","38","8","-38","-8","-4","-50","48","20","16","-34","-12","16","-44","-2","-28","40","17","25","6","76","22","16","28","-20","30","-56","-34","-28","-10","-80","8","-24","3","-2","-14","38","-40","-36","28","12","8","70","14","-32","64","16","-20","8","-11","20","32","-2","-31","8","-8","36","18","32","20","-16","-20","0","72","2","-52","0","-65","68","-2","-64","-5","-48","-44","-12","-14","-16","36","-30","-4","-16","40","-6","48","-4","46","-88","-24","20","-13","3","-10","-70","12","2","-4","0","12","-42","-2","-20","-48","-24","-40","2","16","-24","24","-28","-1","4","80","10","-16","8","10","76","-56","-46","-12","32","-13","8","-58","0","28","38","-64","12","-3","-18","-32","-24","6","-1","32","-36","-40","82","-18","28","26","-24","-20","-32","-2","-4","16","12","20","18","52","-32","6","2","48","-48","-6","16","-16","28","32","64","48","-28","-46","4","-24","16","-4","59","68","-16","-48","2","24","8","36","-6","5","40","-60","-24","0","20","4","-10","-10","80","8","-22","32","-28","-14","-16","42","-48","-8","-4","-4","-12","-32","40","-64","-3","48","36","24","44","24","72","22","0","85","20","-28","-10","-26","-20","-15","20","44","-12","6","-16","12","-48","52","-24","1","-12","-20","-12","8","-18","-24","2","-6","38","0","24","61","-8","-30","-10","-12","8","-44","-60","18","-18","-26","-18","12","-12","-4","72","-52","-37","14","4","-12","32","-48","14","0","-24","18","8","0","-2","-68","60","-14","-10","-32","42","-10","46","-16","10","-12","72","-10","12","4","30","-20","-36","-32","-8","-2","70","20","8","0","-16","-28","-30","4","-88","-20","-56","-32","-4","-47","30","-45","-4","18","8","36","-60","14","-12","14","-56","-42","-4","-16","20","-40","-26","-72","-40","-42","96","52","-24","-4","-34","-24","6","20","15","12","-26","3","88","30","20","-50","-50","-8","-4","-16","-46","-16","-16","20","24","28","88","-12","3","50","-4","26","-24","4","-12","36","8","50","-2","-72","24","-8","44","-33","-26","-8","8","-8","52","-18","-84","-9","72","-6","-48","8","78","56","20","-38","-22","-8","28","44","-6","12","-32","-28","0","42","32","30","-52","32","-56","-28","44","-18","8","-1","8","52","-52","-18","20","-112","110","11","18","-24","64","84","24","-4","-8","40","56","24","0","16","-76","-10","-68","12","22","56","-20","100","-12","-38","32","64","-38","-20","-72","46","48","-8","-4","28","56","36","76","29","-4","1","12","-34","-10","-100","56","60","-9","10","48","-48","-14","-4","50","-28","-68","14","-60","8","-4","-4","-66","-40","-34","38","-40","-32","-12","-4","12","-32","-64","36","-4","72","18","60","32","-3","-6","8","-48","56","42","-52","-56","30","18","-16","44","32","32","8","4","-6","-40","-50","2","-8","48","-32","-32","37","14","-32","-46","-10","28","28","-52","12","-60","102","12","-72","16","12","-40","-3","-86","-30","-24","-40","-8","80","52","-2","-50","-23","-72","-64","44","-92","-12","84","4","-18","-60","2","34","-8","-88","-12","4","8","-74","16","-82","-24","36","24","18","-4","18","12","80","52","-32","20","-11","-86","-44","-8","1","4","16","4","44","18","-44","8","-86","64","-3","8","-16","24","-60","-56","88","-8","110","-20","-20","38","54","32","-56","-8","-28","-34","72","-12","0","-4","-48","-84","12","0","34","37","-28","0","8","-80","10","-8","68","2","48","54","0","76","4","-16","-32","22","24","-11","48","40","-144","-18","26","-16","-10","-6","-50","-28","-68","-10","112","50","-8","-50","80","8","-128","-8","-12","62","-16","-32","20","20","-6","-42","38","-24","-11","58","-68","0","-40","-42","18","60","28","12","-14","-40","-32","44","-40","160","64","8","8","-1","-28","-24","-64","18","0","-8","72","-28","56","10","19","-76","26","2","28","16","52","23","-4","-30","-88","18","-88","-20","4","50","-28","4","-8","-39","38","68","50","40","10","-36","64","-4","-24","0","100","-68","-8","-32","24","124","62","16","16","3"],"lmfdb":"agrees"},{"label":"95.2.a.b","letter":"b","dim":4,"charpoly":["-11","34","-18","0","1"],"traces":["4","-2","2","8","-4","0","4","-12","8","2","4","6","2","-8","-2","4","4","-34","4","-8","-4","4","-8","-24","4","4","-4","-8","4","0","4","-6","8","-4","-4","40","-6","-2","-12","12","16","28","4","24","-8","0","-12","38","20","-2","-36","18","-10","-20","-4","-12","2","-4","0","-6","20","20","20","-4","-2","-28","-18","4","28","8","-20","-52","28","32","2","8","-40","12","-16","-4","16","16","0","-44","-4","-8","-36","-12","4","34","-36","-28","-40","-48","-4","-52","30","38","-4","8","12","80","6","12","4","-24","10","36","4","-4","-20","4","-10","0","8","4","-6","36","16","24","4","-28","4","-36","-4","-8","-22","0","-4","-4","8","56","4","36","4","24","-4","-52","4","8","-4","-28","40","64","-4","-12","2","-38","12","0","4","-12","12","-40","-4","-8","28","44","12","6","24","-26","28","-8","-8","-8","-26","4","0","4","8","-8","-18","80","4","4","8","-60","24","-40","0","-68","20","-12","6","128","-8","40","-48","2","0","70","-26","-32","12","-40","-32","-60","8","-12","44","-44","16","-116","-16","-28","-8","-34","4","-28","-20","6","-56","-92","-4","-52","48","-16","52","-24","28","60","-10","88","8","12","18","6","-4","0","-24","24","-16","-40","12","-8","0","-72","24","-38","32","70","30","96","-20","48","2","52","-44","2","-24","48","-40","8","36","-4","10","28","-12","-18","12","-8","-16","-52","10","-8","36","-70","-4","20","28","-68","-56","60","4","60","20","44","-36","12","-16","-68","0","-36","-2","76","48","-14","12","4","44","60","-10","96","0","64","40","28","-68","6","48","-72","68","4","-20","-28","-54","-32","-12","-20","20","36","56","44","-20","-40","-70","-60","-8","4","-52","112","4","88","2","-56","-20","-20","-32","28","-36","-20","-70","24","18","12","46","90","20","-4","-40","-34","56","-12","-28","4","40","-116","-48","-8","0","-100","-28","-8","20","60","-72","4","-28","52","4","-68","18","12","-28","-76","76","64","-16","-32","-4","-208","-18","64","-2","-20","28","48","-16","-8","-68","16","-70","-52","40","-72","20","118","8","-12","-72","-4","-72","20","16","32","-36","16","-4","4","56","-72","0","24","-16","-72","0","128","-52","-16","-36","50","-56","88","0","-48","64","4","88","44","0","16","84","-16","4","88","-56","102","32","8","12","124","46","-48","36","76","-8","-80","-48","12","-56","-16","-40","-112","-4","8","84","0","20","-34","-16","-2","24","76","36","-24","24","20","-88","28","8","-40","40","-68","40","4","16","-22","-4","48","-20","28","-40","-8","4","72","38","96","-44","52","20","-56","96","-8","-30","-16","-66","-88","28","-38","0","-68","80","4","4","-124","48","108","-28","-8","-20","120","-8","12","-12","-112","6","-50","28","-80","16","46","-4","40","-6","-44","8","-28","4","-12","40","-28","-10","8","-4","64","88","64","20","24","-72","-8","-20","-120","-10","28","72","80","-44","-36","-44","-76","60","92","-4","-8","-30","-60","76","4","4","-76","-72","-52","20","-80","-76","76","-36","-4","0","-104","-10","116","10","72","-60","68","12","0","4","24","88","-8","-8","20","80","-134","76","-4","56","-116","-16","-120","6","120","-8","-154","4","-36","60","-98","-48","-88","-16","8","-48","-60","80","-24","96","24","-90","28","-4","-124","-10","-6","-72","28","12","-28","4","-60","-4","64","36","-8","36","36","48","-20","16","-12","4","-100","8","4","28","8","-68","76","-112","-4","22","88","-46","64","36","0","24","32","32","-40","4","-4","-24","-76","56","4","0","152","4","-24","-8","-40","52","8","8","-56","-64","72","-24","36","-4","132","-72","-22","52","-36","96","4","-14","108","-4","-72","110","-68","-52","-24","28","88","-58","40","4","64","-12","4","-28","52","-20","-50","40","16","-4","128","24","-44","-84","-8","76","40","-6","-8","4","68","88","8","16","28","-104","-104","-48","120","-40","-16","8","-116","-28","-64","-20","-2","148","24","4","-16","-116","60","-52","12","16","172","24","-152","-2","8","-32","-32","-32","38","-12","60","-6","232","-12","80","16","-64","20","0","68","100","-16","-16","-4","-32","24","80","-40","12","-84","120","-104","40","-12","4","48","-58","-20","40","76","30","-14","-8","4","-136","24","-100","16","8","-88","104","-88","-92","-28","160","-54","-56","28","-44","-60","-116","76","-20","-12","72","-50","28","-16","-6","124","-68","40","64","-24","-40","-116","-136","-56","26","-84","72","80","92","-28","-76","4","-72","100","8","136","120","-20","-28","8","-40","-58","-4","68","8","-84","-78","36","-36","26","24","-176","16","-80","-4","-36","24","-108","-20","0","-80","-108","82","-92","-4","-28","-160","-24","-96","-8","-60","50","32","24","8","56","-16","34","-188","18","4","-154","32","40","-80","-76","-4","94","0","-4","164","-66","-44","44","-4","-52","38","-28","52","-8","112","122","188","-4","60","92","-14","-12","-140","-24","-20","-8","-48","88","40","-44","40","16","12","0","-64","-46","-50","100","68","-12","38","-56","-60","-20","-64","32","216","112","12","-84","4","-32","24","-6","-32","62","92","72","-128","20","-40","144","-64","8","8","4","156","12","-40","8","120","-8","-56","48","-40","-16","-16","-12","-2","36","-32","34","4","0","-80","0","-28","-16","-70","52","32","194","56","26","-80","48","44","-36","32","12","58","88","188","-12","76","-54","-124","-8","40","36","-160","-38","8","32","-168","-112","18","24","60","12","188","-128","16","-8","-172","-44","212","-80","12"],"lmfdb":"agrees"}],"seconds":0.083,"computed":"atlas","estimate":{"seconds":0.21,"low":0.128,"high":0.363,"bytes":1857970}}