{"label":"946.2.a","level":946,"weight":2,"dims":{"new":35,"cusp":129,"eisenstein":7,"modsym":265},"old":[[11,1,4],[43,3,4],[86,4,2],[473,35,2]],"T":[[3,1],[5,3]],"status":"proven","checks":["dim M^+ at levels [1, 2, 11, 22, 43, 86, 473, 946]: [0, 1, 2, 5, 4, 13, 46, 136] (certified at ell = 2147482681)","T = [(3, 1), (5, 3)]; h of degree 35 = 1 x 35 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"946.2.a.a","letter":"a","dim":1,"charpoly":["-6","1"],"traces":["1","-1","0","1","2","0","0","-1","-3","-2","-1","0","2","0","0","1","2","3","4","2","0","1","8","0","-1","-2","0","0","2","0","0","-1","0","-2","0","-3","2","-4","0","-2","10","0","1","-1","-6","-8","0","0","-7","1","0","2","-10","0","-2","0","0","-2","4","0","2","0","0","1","4","0","12","2","0","0","8","3","6","-2","0","4","0","0","-4","2","9","-10","12","0","4","-1","0","1","-6","6","0","8","0","0","8","0","-14","7","3","-1","2","0","-8","-2","0","10","4","0","2","2","0","0","10","0","16","2","-6","-4","0","0","1","-2","0","0","-12","0","4","-1","0","-4","-4","0","0","-12","0","-2","-6","0","12","0","0","-8","-2","-3","4","-6","0","2","10","0","-8","-4","-6","0","0","0","-14","4","0","-2","0","-9","-8","10","0","-12","-4","0","-9","-4","-12","1","2","0","0","-1","0","6","0","-6","-2","0","0","-8","4","0","-2","0","0","-8","8","0","-22","14","0","-7","-14","-3","-16","1","0","-2","0","0","20","8","-24","2","-4","0","4","-10","0","-4","2","0","0","-2","0","-2","4","0","-24","0","3","-10","28","0","14","-16","0","-2","6","6","0","4","0","0","28","0","-10","-1","0","2","-14","0","8","0","0","12","-20","0","-8","-4","0","1","-14","0","0","4","-6","4","-8","0","-20","0","0","12","-2","0","20","2","0","6","1","0","-22","-12","0","0","-6","0","-28","8","0","2","0","3","-13","-4","0","6","-6","0","8","-2","0","-10","16","0","0","8","0","4","4","6","-28","0","0","0","16","0","18","14","0","-4","-18","0","-2","2","0","0","8","9","-2","8","0","-10","0","0","8","12","-6","4","24","0","-22","9","0","4","0","12","0","-1","0","-2","-12","0","-30","0","0","1","18","0","16","-6","0","0","4","6","-3","2","0","0","12","0","-16","8","-30","-4","0","0","26","2","0","0","4","0","20","8","0","-8","-16","0","0","22","-3","-14","26","0","16","7","0","14","-8","3","-26","16","0","-1","18","0","0","2","18","0","-2","0","14","-20","0","-8","0","24","24","-2","0","4","-40","0","26","-4","0","10","-2","0","0","4","0","-2","12","0","2","0","0","2","32","0","-20","2","21","-4","12","0","-12","24","0","0","-6","-3","-10","10","0","-28","0","0","-18","-14","0","16","-6","0","16","2","0","-6","0","-6","0","0","0","-4","-1","0","-4","0","30","-28","-20","0","4","10","0","1","-28","0","-16","-2","0","14","12","0","4","-8","6","0","0","0","32","-12","0","20","16","0","4","8","0","4","-26","0","0","-1","0","14","-16","0","0","0","0","-4","42","6","-4","-4","0","8","0","0","41","20","-12","0","20","0","8","-12","0","2","7","0","-30","-20","0","-2","4","0","12","-6","-6","-1","8","0","0","22","0","12","-38","0","2","0","0","6","12","0","20","28","0","-8","2","0","-4","-2","0","0","-8","-3","-6","13","0","4","0","0","10","-6","-12","6","-8","0","0","-8","0","2","6","0","0","10","0","-16","16","0","30","0","-36","-8","2","0","40","-4","0","-4","0","-6","42","28","0","0","-22","0","-4","0","0","-16","0","0","-19","-18","0","-14","4","0","40","4","0","18","8","0","-14","2","-24","-2","-38","0","4","0","0","-8","0","-9","-4","2","0","-8","-14","0","-8","10","-18","0","4","0","-2","-8","0","-12","0","6","16","-4","0","-24","-2","0","-26","22","0","-9","-6","0","0","-4","0","0","-36","-12","-12","0","0","1","-20","0","-8","2","0","12","24","0","20","30","0","0","2","0","8","-1","0","-18","0","0","-26","-16","12","6","0","0","-4","0","0","-4","-8","-6","0","3","0","-2","-2","0","16","0","-27","-12","2","0","34","16","0","-8","-12","30","-12","4","0","0","48","0","20","-26","-36","-2","0","0","24","0","0","-4","-16","0","2","-20","0","-8","30","0","0","8","-12","16","8","0","-22","0","0","-22","-54","3","0","14","0","-26","40","0","-8","-16","0","-7","-28","0","-28","-14","0","8","0","-3","4","26","0","-16","-18","0","0","1","18","-18","-6","0","0","0","0","-2","-54","-18","-28","0","0","2","-16","0","4","-14","0","20","18","0","-24","8","0","0","-52","-24","2","-24","0","2","-14","0","-8","-4","0","40","40","0","-25","-26","0","4","-18","0","0","-10","0","2","16","0","26","0","-24","-4","18","0","24","2","0","-12","32","0","4","-2","0","0","4","0","24","-2","42","-32","0","0","10","20","0","-2","34","-21","44","4","0","-12","-32","0","0","12","-9","-24","0","0","0","0","0","6","0","3","-20","10","0","-10","-4","0","-44","28","-6","0","-40","0","-12","18","0","14","0","0","36","-16","0","6","16","0","-2","-16","24","-2","18","0","-28","6","0","0","-4","6","-2","0","0","0","-30","0","80","4","0","1","-12","0","12","4","0","0","-42","-30","16","28","0","20","0","0","-31","-4","-12","-10","-44","0","28","-1","0","28","12","0","0","16","0","2","18","0","6","-14","-6","-12","-16","0","-28","-4","0","8","8","-6","16","0","0","0","-32","0","58","-32","0","12"],"lmfdb":"agrees","curve":{"cremona":"946a1","lmfdb":"946.a","ainvs":[1,-1,0,-11,-11],"rank":0,"torsion":2}},{"label":"946.2.a.b","letter":"b","dim":1,"charpoly":["-1","1"],"traces":["1","-1","1","1","0","-1","-4","-1","-2","0","1","1","2","4","0","1","6","2","2","0","-4","-1","-6","-1","-5","-2","-5","-4","-9","0","-10","-1","1","-6","0","-2","2","-2","2","0","0","4","1","1","0","6","-6","1","9","5","6","2","-9","5","0","4","2","9","0","0","-1","10","8","1","0","-1","-16","6","-6","0","0","2","-1","-2","-5","2","-4","-2","-1","0","1","0","9","-4","0","-1","-9","-1","0","0","-8","-6","-10","6","0","-1","17","-9","-2","-5","-12","-6","14","-2","0","9","-3","-5","20","0","2","-4","-6","-2","0","-9","-4","0","-24","0","1","1","0","-10","0","-8","17","-1","1","0","-18","1","-8","16","0","-6","12","6","23","0","-6","0","2","-2","0","1","9","2","-9","5","-22","-2","-12","4","0","2","8","1","-9","0","24","-1","-13","0","0","-9","15","4","-9","0","-4","1","6","9","20","1","0","0","3","0","5","8","-1","6","0","10","6","-6","20","0","-15","1","-4","-17","0","9","0","2","20","5","-16","12","36","6","0","-14","12","2","2","0","-22","-9","0","3","0","5","40","-20","-1","0","12","-2","11","4","10","6","-6","2","5","0","-4","9","-9","4","0","0","-1","24","-21","0","2","-1","16","-1","0","0","4","10","9","0","-12","8","-6","-17","0","1","-6","-1","-8","0","18","18","-12","-1","0","8","0","-16","3","0","8","6","-8","-12","-5","-6","-22","-23","20","0","-6","6","5","0","0","-2","0","2","19","0","17","-1","6","-9","0","-2","-5","9","-12","-5","-4","22","-12","2","0","12","17","-4","14","0","-30","-2","26","-8","0","-1","3","9","-9","0","-3","-24","12","1","-10","13","20","0","24","0","-28","9","-4","-15","0","-4","14","9","-6","0","-10","4","-8","-1","0","-6","-24","-9","26","-20","-10","-1","21","0","0","0","-24","-3","9","0","-15","-5","1","-8","0","1","14","-6","0","0","36","-10","-19","-6","0","6","-18","-20","8","0","17","15","-3","-1","0","4","-2","17","0","0","-36","-9","-18","0","0","-2","-7","-20","-8","-5","3","16","-20","-12","0","-36","2","-6","5","0","12","14","0","-12","0","-2","23","-2","-9","0","-10","22","12","9","-30","0","4","-3","2","0","36","-5","20","-40","0","20","-12","1","-40","0","-18","-12","6","2","0","-11","-9","-4","24","-10","0","-6","-22","6","0","-2","26","-5","-30","0","0","4","-16","-9","0","9","12","-4","64","0","8","0","1","1","-10","-24","18","21","39","0","4","-2","24","1","0","-16","-40","1","-13","0","-18","0","-54","-4","0","-10","0","-9","-1","0","15","12","-36","-8","0","6","-9","17","-30","0","4","-1","-10","6","0","1","-6","8","6","0","-42","-18","-34","-18","20","12","-60","1","13","0","0","-8","0","0","0","16","3","-3","9","0","2","-8","5","-6","0","8","-1","12","2","5","-18","6","4","22","0","23","18","-20","2","0","6","6","36","-6","0","-5","-4","0","24","0","-28","2","-15","0","30","-2","-34","-19","-4","0","-36","-17","-9","1","0","-6","24","9","-20","0","0","2","-15","5","0","-9","20","12","-30","5","38","4","32","-22","0","12","-4","-2","36","0","-12","-12","44","-17","0","4","-6","-14","-34","0","30","30","0","2","25","-26","2","8","12","0","-13","1","-22","-3","0","-9","18","9","0","0","36","3","14","24","0","-12","-9","-1","0","10","40","-13","12","-20","0","0","2","-24","-45","0","-19","28","12","-9","0","4","54","15","11","0","-1","4","-7","-14","25","-9","27","6","-68","0","-6","10","42","-4","0","8","5","1","-18","0","-43","6","8","24","0","9","0","-26","-9","20","24","10","4","1","0","-21","48","0","-37","0","2","0","60","24","0","3","-21","-9","-18","0","-56","15","2","5","45","-1","-19","8","13","0","6","-1","41","-14","0","6","-16","0","50","0","4","-36","-42","10","0","19","-18","6","12","0","11","-6","-12","18","0","20","2","-8","-6","0","9","-17","-80","-15","0","3","0","1","20","0","-6","-4","-12","2","50","-17","-8","0","0","0","0","36","45","9","0","18","8","0","-12","0","24","2","-2","7","0","20","-18","8","-36","5","0","-3","-1","-16","0","20","3","12","-42","0","26","36","8","-2","0","6","2","-5","16","0","-36","-12","-40","-14","-5","0","3","12","20","0","-22","2","54","-23","0","2","50","9","3","0","52","10","-6","-22","0","-12","-4","-9","5","30","-12","0","44","-4","0","3","-48","-2","-4","0","0","-36","3","5","0","-20","19","40","-1","0","-32","-20","-34","12","0","-1","-22","40","6","0","-9","18","-4","12","0","-6","6","-2","-68","0","1","11","-12","9","0","4","-12","-24","90","10","-54","0","-4","6","0","22","-28","-6","24","0","-9","2","9","-26","0","5","72","30","41","0","17","0","0","-4","-10","16","-28","9","-42","0","18","-9","-30","-12","0","4","29","-64","26","0","18","-8","0","0","0","-1","24","-1","-2","10","3","24","-57","-18","0","-21","-9","-39","-48","0","69","-4","6","2","0","-24","23","-1","12","0","48","16","-92","40","-10","-1","9","13","0","0","-40","18","12","0","0","54","24","4","-6","0","-37","10","-28","0","0","9","-22","1","-10","0"],"lmfdb":"agrees","curve":{"cremona":"946b1","lmfdb":"946.b","ainvs":[1,0,1,14,-8],"rank":1,"torsion":3}},{"label":"946.2.a.c","letter":"c","dim":1,"charpoly":["-13","1"],"traces":["1","1","1","1","4","1","0","1","-2","4","-1","1","-2","0","4","1","6","-2","2","4","0","-1","-6","1","11","-2","-5","0","1","4","-6","1","-1","6","0","-2","2","2","-2","4","-4","0","-1","-1","-8","-6","2","1","-7","11","6","-2","-9","-5","-4","0","2","1","4","4","1","-6","0","1","-8","-1","4","6","-6","0","-8","-2","9","2","11","2","0","-2","1","4","1","-4","-1","0","24","-1","1","-1","8","-8","0","-6","-6","2","8","1","-7","-7","2","11","-8","6","2","-2","0","-9","-5","-5","16","-4","2","0","-6","2","-24","1","4","4","0","4","1","1","-4","-6","24","0","7","1","-1","-8","-10","-1","0","4","-20","6","8","-6","-15","0","2","-8","2","-2","4","9","-7","2","17","11","2","2","-12","0","-24","-2","-24","1","-9","4","0","1","19","-4","-4","-1","-15","0","-9","24","-4","-1","26","1","0","-1","4","8","-21","-8","-11","0","1","-6","8","-6","-6","2","0","8","-15","1","-4","-7","-8","-7","-8","2","4","11","4","-8","0","6","-16","2","12","-2","-2","0","18","-9","-8","-5","-4","-5","0","16","9","-4","-12","2","3","0","-22","-6","-22","2","-27","-24","0","1","17","4","8","4","1","0","5","4","14","1","16","1","-28","-4","-4","-6","-1","24","8","0","6","7","24","1","18","-1","0","-8","-2","-10","24","-1","-36","0","8","4","27","-20","8","6","0","8","-11","-6","22","-15","12","0","18","2","-5","-8","8","2","0","-2","19","4","-7","9","-6","-7","16","2","5","17","12","11","0","2","-8","2","4","-12","-25","0","2","-24","-10","-2","6","-24","0","1","-13","-9","-1","4","-5","0","12","1","-22","19","16","-4","0","-4","-4","-1","-4","-15","16","0","14","-9","-6","24","6","-4","0","-1","-24","26","16","1","6","0","10","-1","-11","4","-32","8","0","-21","-17","-8","-15","-11","1","0","36","1","10","-6","8","8","0","-6","-29","-6","24","2","-2","0","-32","8","7","-15","21","1","0","-4","2","-7","24","-8","-36","-7","-10","-8","4","2","-7","4","0","11","3","4","12","-8","4","0","-2","6","-5","-16","8","2","0","12","-4","-2","-15","-2","15","0","10","18","-4","-9","66","-8","0","-5","2","-4","28","-5","4","0","4","16","-12","9","-40","-4","14","-12","-26","2","32","3","17","0","32","-22","4","-6","2","-22","0","2","30","-27","-30","-24","12","0","16","1","-24","17","-28","4","0","8","-24","4","1","1","22","0","18","5","9","4","-4","14","0","1","-28","16","-28","1","19","-28","22","-4","6","-4","8","-6","0","-1","39","24","-15","8","36","0","-32","6","-9","7","34","24","0","1","-10","18","8","-1","-2","0","26","-8","18","-2","10","-10","0","24","-36","-1","13","-36","-8","0","8","8","-20","4","-21","27","7","-20","-30","8","-11","6","64","0","9","8","-2","-11","2","-6","0","22","8","-15","6","12","2","0","-6","18","-20","2","-24","-5","0","-8","-20","8","-40","2","-15","0","-66","-2","38","19","-4","4","0","-7","9","9","16","-6","24","-7","-12","16","-8","2","-9","5","0","17","4","12","38","11","10","0","-8","2","4","-8","-12","2","0","4","-4","-12","-48","-25","-16","0","18","2","34","-24","30","-10","0","-2","41","6","-2","-24","12","0","-5","1","18","-13","28","-9","14","-1","16","4","4","-5","38","0","-4","12","31","1","-4","-22","0","19","48","16","-40","-4","-18","0","45","-4","5","-4","-12","-1","0","-4","-6","-15","3","16","-1","0","7","14","-55","-9","-27","-6","0","24","-22","6","-42","-4","32","0","-27","-1","18","-24","45","26","0","16","-60","1","-24","6","17","0","-48","10","4","-1","8","-11","0","4","-21","-32","-2","8","36","0","8","-21","5","-17","-26","-8","0","-15","14","-11","11","1","-35","0","13","36","-6","1","23","10","-28","-6","-4","8","54","8","-4","0","-6","-6","68","-29","2","-6","0","24","-45","2","8","-2","8","0","-38","-32","6","8","-25","7","0","-15","-48","21","-8","1","-36","0","18","-4","-4","2","-66","-7","0","24","-8","-8","8","-36","-5","-7","-96","-10","-8","-8","24","4","0","2","-2","-7","-36","4","-34","0","12","11","-16","3","-9","4","0","12","27","-8","30","4","38","0","8","-2","76","6","-2","-5","0","-16","36","8","-24","2","-11","0","-27","12","0","-4","22","-2","-42","-15","-60","-2","30","15","27","0","-28","10","18","18","-36","-4","0","-9","-5","66","-12","-8","28","0","-16","-5","16","2","36","-4","0","28","11","-5","104","4","19","0","-1","4","-8","16","14","-12","0","9","34","-40","-6","-4","-33","14","20","-12","16","-26","-58","2","0","32","-1","3","4","17","-84","0","12","32","-6","-22","-54","4","0","-6","-44","2","12","-22","16","0","-57","2","1","30","4","-27","0","-30","-25","-24","-25","12","16","0","22","16","-4","1","18","-24","-14","17","-10","-28","-24","4","-5","0","6","8","46","-24","24","4","0","1","36","1","-18","22","-13","0","41","18","-60","5","-1","9","0","4","5","-4","10","14","-16","0","-47","1","12","-28","44","16","0","-28","-22","1","17","19","-8","-28","-32","22","12","-4","-32","6","0","-4","6","8","-53","-6","-4","0","16","-1","-2","39","-10","24"],"lmfdb":"agrees","curve":{"cremona":"946c1","lmfdb":"946.c","ainvs":[1,0,0,-1806,-29692],"rank":0,"torsion":1}},{"label":"946.2.a.d","letter":"d","dim":2,"charpoly":["61","18","1"],"traces":["2","-2","-3","2","-5","3","2","-2","1","5","2","-3","4","-2","10","2","-3","-1","-1","-5","2","-2","3","3","5","-4","0","2","-3","-10","-5","-2","-3","3","0","1","9","1","-16","5","-15","-2","2","2","-10","-3","-7","-3","-2","-5","-3","4","-8","0","-5","-2","4","3","0","10","-12","5","-14","2","-20","3","18","-3","-2","0","-10","-1","8","-9","-20","-1","2","16","-7","-5","2","15","-22","2","0","-2","7","-2","-20","10","-16","3","15","7","5","3","-11","2","1","5","6","3","-7","-4","-10","8","-6","0","10","5","-21","2","-12","-4","-5","-3","32","0","-18","-10","2","12","20","-5","0","14","-21","-2","-3","20","-11","-3","4","-18","5","3","14","2","-4","0","13","10","4","1","10","-8","13","9","-3","20","6","1","21","-2","20","-16","21","7","2","5","8","-2","-21","-15","10","22","0","-2","22","0","-8","2","2","-7","-20","2","-20","20","-9","-10","20","16","18","-3","-30","-15","-3","-7","10","-5","10","-3","7","11","60","-2","10","-1","-40","-5","-42","-6","2","-3","35","7","-6","4","-1","10","21","-8","20","6","-5","0","10","-10","-32","-5","24","21","2","-2","40","12","33","4","-20","5","2","3","2","-32","20","0","18","18","43","10","14","-2","12","-12","15","-20","-12","5","38","0","-14","-14","3","21","15","2","-12","3","-6","-20","-9","11","-34","3","10","-4","20","18","-14","-5","-19","-3","24","-14","5","-2","11","4","-25","0","33","-13","0","-10","-15","-4","-20","-1","-7","-10","24","8","2","-13","-20","-9","0","3","-4","-20","2","-6","-14","-1","30","-21","24","2","18","-20","0","16","-18","-21","30","-7","-24","-2","-3","-5","14","-8","-6","2","60","21","-10","15","-2","-10","-16","-22","27","0","-60","2","43","-22","8","0","-5","8","4","-2","5","-2","27","7","-43","20","-20","-2","12","20","30","-20","12","9","-7","10","-35","-20","-3","-16","-40","-18","-17","3","0","30","-28","15","-23","3","25","7","-16","-10","-34","5","39","-10","-46","3","0","-7","1","-11","0","-60","-12","2","19","-10","25","1","-34","40","-6","5","-9","42","-40","6","10","-2","9","3","-30","-35","-16","-7","-40","6","60","-4","26","1","12","-10","-35","-21","-11","8","30","-20","-12","-6","-16","5","7","0","10","-10","-25","10","1","32","-25","5","-31","-24","-48","-21","40","-2","-33","2","-12","-40","-15","-12","6","-33","40","-4","-8","20","-15","-5","0","-2","-22","-3","-55","-2","-1","32","-12","-20","-54","0","2","-18","-15","-18","26","-43","-27","-10","48","-14","-2","2","35","-12","55","12","24","-15","19","20","-3","12","-10","-5","0","-38","23","0","40","14","38","14","-20","-3","-73","-21","0","-15","-32","-2","5","12","25","-3","-7","6","32","20","-24","9","-3","-11","30","34","-15","-3","-39","-10","60","4","-20","-20","20","-18","36","14","-2","5","34","19","-30","3","-20","-24","58","14","-6","-5","4","2","8","-11","75","-4","6","25","4","0","-3","-33","42","13","20","0","32","10","-12","15","9","4","-50","20","-5","1","42","7","12","10","-12","-24","-8","-8","-100","-2","48","13","10","20","-10","9","-40","0","30","-3","70","4","-25","20","-44","-2","54","6","-5","14","-28","1","-8","-30","-24","21","38","-24","-65","-2","3","-18","-28","20","5","0","-40","-16","0","18","4","21","9","-30","-26","7","-9","24","60","2","-44","3","-20","5","-8","-14","8","8","10","6","12","-2","0","-60","-20","-21","69","10","30","-15","64","2","0","10","-68","16","-36","22","-10","-27","-2","0","-8","60","-12","-2","-14","-43","-25","22","-51","-8","4","0","-32","5","34","-8","-30","-4","50","2","24","-5","4","2","-14","-27","30","-7","30","43","-8","-20","-82","20","-12","2","-45","-12","-4","-20","16","-30","-26","20","0","-12","-20","-9","-62","7","19","-10","8","35","-66","20","-20","3","-18","16","-59","40","-3","18","-43","17","-50","-3","18","0","25","-30","28","28","-24","-15","-30","23","-26","-3","4","-25","22","-7","46","16","0","10","29","34","-2","-5","18","-39","20","10","-45","46","80","-3","35","0","48","7","-9","-1","-50","11","24","0","5","60","-10","12","5","-2","-75","-19","26","10","76","-25","-32","-1","-24","34","0","-40","64","6","3","-5","20","9","8","-42","-10","40","46","-6","1","-10","57","2","-14","-9","45","-3","-1","30","-8","35","-22","16","40","7","-20","40","76","-6","35","-60","26","4","-27","-26","40","-1","15","-12","-34","10","-51","35","-67","21","-95","11","2","-8","60","-30","6","20","-52","12","25","6","19","16","-3","-5","-10","-7","-24","0","30","-10","33","10","-7","25","96","-10","-28","-1","50","-32","36","25","52","-5","57","31","-18","24","80","48","-18","21","-6","-40","2","2","6","33","45","-2","-4","12","15","40","42","15","2","12","-50","-6","-16","33","18","-40","22","4","-22","8","-60","-20","-6","15","-33","5","-66","0","-40","2","60","22","-26","3","36","55","11","2","-20","1","0","-32","-32","12","72","20","36","54","-25","0","-20","-2","78","18","96","15","56","18","-24","-26","-60","43","7","27","24","10","-27","-48","-18","14","5","2","1","-2","9","-35","36","12","36","-55","-140","-12","33","-24","-20","15","-10","-19","-46","-20","-20","3","-12","-12","3","10","-24","5","84","0","110","38","21","-23","-15","0"],"lmfdb":"agrees"},{"label":"946.2.a.e","letter":"e","dim":2,"charpoly":["-51","2","1"],"traces":["2","-2","1","2","-1","-1","2","-2","1","1","-2","1","-8","-2","6","2","5","-1","3","-1","14","2","-1","-1","-3","8","4","2","17","-6","-13","-2","-1","-5","12","1","-11","-3","-4","1","-11","-14","2","-2","6","1","9","1","14","3","9","-8","8","-4","1","-2","8","-17","4","6","4","13","14","2","4","1","-22","5","6","-12","2","-1","-4","11","-8","3","-2","4","1","-1","-14","11","6","14","4","-2","15","2","24","-6","-8","-1","-13","-9","5","-1","-3","-14","-1","-3","14","-9","21","8","6","-8","10","4","-2","-1","-25","2","-20","-8","7","17","-4","-4","18","-6","2","-4","-12","-13","0","-14","3","-2","1","-4","17","-1","16","22","-15","-5","-6","-6","-16","12","-15","-2","8","1","-2","4","33","-11","-23","8","30","-3","9","2","0","-4","-15","-1","30","1","12","14","3","-11","-6","-6","8","-14","6","-4","8","2","-22","-15","-16","-2","-24","-24","-33","6","0","8","2","1","-14","13","-5","9","-22","-5","14","1","19","3","-24","14","-38","1","28","3","2","-14","30","9","-1","-21","6","-8","-3","-6","-39","8","-12","-10","-1","-4","-26","2","-28","1","-20","25","-10","-2","-8","20","-11","8","-44","-7","-14","-17","18","4","-24","4","-58","-18","-5","6","-14","-2","-32","4","19","12","-12","13","42","0","-14","14","1","-3","15","2","4","-1","-50","4","15","-17","10","1","22","-16","12","-22","10","15","37","5","-56","6","3","6","-5","16","-13","-12","9","15","4","2","9","-8","-24","-1","-15","2","44","-4","30","-33","-28","11","-4","23","4","-8","2","-30","-6","3","-2","-9","-20","-2","-22","0","16","4","-22","15","6","1","0","-30","-17","-1","18","-12","14","-14","12","-3","38","11","-30","6","-8","6","-25","-8","24","14","19","-6","-36","4","13","-8","52","-2","-3","22","15","15","41","16","-16","2","-12","24","-14","24","48","33","25","-6","-27","0","1","-8","-24","-2","31","-1","-12","14","60","-13","25","5","-39","-9","-68","22","-26","5","47","-14","-22","-1","-12","-19","1","-3","-16","24","4","-14","15","38","-59","-1","-30","-28","34","-3","39","-2","52","14","-6","-30","11","-9","-2","1","36","21","-48","-6","36","8","-34","3","44","6","25","39","-15","-8","-14","12","4","10","4","1","15","4","-2","26","51","-2","5","28","63","-1","33","20","24","-25","-12","10","-57","2","-36","8","11","-20","2","11","-48","-8","-16","44","-3","7","24","14","30","17","-39","-18","27","-4","4","24","38","-4","-2","58","-11","18","30","5","37","-6","44","14","6","2","47","32","43","-4","8","-19","15","-12","49","12","-6","-13","-24","-42","-5","0","-48","14","-2","-14","-20","-1","3","3","-8","-15","-56","-2","-7","-4","-43","1","-9","50","-24","-4","12","-15","1","17","-34","-10","-39","-1","-39","-22","-24","16","44","-12","8","22","-36","-10","-14","-15","-10","-37","26","-5","40","56","2","-6","2","-3","32","-6","-116","5","-33","-16","-26","13","-8","12","-9","-9","66","-15","-16","-4","-40","-2","20","-9","13","8","-6","24","-5","1","-10","15","68","-2","84","-44","-8","4","-24","-30","-32","33","-26","28","-6","-11","24","4","30","-23","14","-4","7","8","20","-2","2","30","-1","6","36","-3","132","2","-36","9","14","20","-33","2","-37","22","28","0","-15","-16","24","-4","-24","22","-8","-15","-47","-6","30","-1","-13","0","44","30","-56","17","-12","1","52","-18","-12","12","6","-14","-24","14","-4","-12","-104","3","25","-38","-2","-11","-28","30","28","-6","-12","8","-36","-6","18","25","-2","8","8","-24","-4","-14","54","-19","7","6","-27","36","88","-4","-12","-13","-42","8","42","-52","-22","2","-32","3","12","-22","-14","-15","-18","-15","-34","-41","48","-16","26","16","-36","-2","27","12","-12","-24","36","14","-58","-24","0","-48","-4","-33","30","-25","19","6","-44","27","-46","0","-32","-1","-54","8","13","24","5","2","-15","-31","42","1","22","12","-43","-14","-32","-60","-12","13","-34","-25","42","-5","36","39","50","9","6","68","-28","-22","25","26","-6","-5","18","-47","76","14","15","22","-16","1","-53","12","-24","19","3","-1","26","3","-116","16","-23","-24","-2","-4","21","14","53","-15","-2","-38","-60","59","-72","1","-16","30","24","28","-36","-34","3","3","12","-39","4","2","-6","-52","18","-14","-15","6","-11","30","38","-11","5","9","3","2","-56","-1","6","-36","-16","-21","8","48","44","6","-17","-36","-22","-8","61","34","-56","-3","-13","-44","10","-6","93","-25","-15","-39","-3","15","2","8","-76","14","-14","-12","-44","-4","9","-10","-33","-4","29","-1","-90","-15","-4","-4","-2","2","25","-26","-1","-51","88","2","44","-5","-78","-28","84","-63","-24","1","49","-33","-26","-20","12","-24","-2","25","94","12","14","-10","-6","57","-3","-2","-24","36","-117","-8","46","-11","14","20","26","-2","-48","-11","-6","48","-34","8","-6","16","12","-44","30","3","23","-7","-10","-24","-8","-14","36","-30","-22","-17","48","39","47","18","60","-27","-4","4","12","-4","-76","-24","-36","-38","-1","4","24","2","-6","-58","16","11","0","-18","24","-30","-20","-5","-15","-37","72","6","29","-44","18","-14","49","-6","57","-2","33","-47","-36","-32","-68","-43","32","4","-87","-8","-24","19","38","-15","2","12","32","-49","24","-12","-1","6","48","13","-4","24","-14","42","-87","5","17","0"],"lmfdb":"agrees"},{"label":"946.2.a.f","letter":"f","dim":2,"charpoly":["31","12","1"],"traces":["2","2","-3","2","-3","-3","0","2","1","-3","2","-3","-2","0","2","2","-3","1","-11","-3","0","2","1","-3","-3","-2","0","0","-5","2","-7","2","-3","-3","0","1","-9","-11","8","-3","-9","0","-2","2","6","1","-13","-3","-14","-3","7","-2","-6","0","-3","0","14","-5","-6","2","0","-7","0","2","-2","-3","16","-3","-14","0","2","1","10","-9","12","-11","0","8","21","-3","2","-9","-12","0","2","-2","-5","2","12","6","0","1","13","-13","19","-3","9","-14","1","-3","2","7","15","-2","0","-6","-12","0","-10","-3","21","0","6","14","11","-5","-16","-6","0","2","2","0","26","-7","12","0","29","2","3","-2","-15","-3","0","16","-5","-3","0","-14","2","0","7","2","-2","1","20","10","21","-9","-21","12","20","-11","-9","0","8","8","-9","21","24","-3","0","2","7","-9","2","-12","-32","0","-14","2","2","-2","-14","-5","0","2","24","12","-25","6","-20","0","30","1","6","13","-3","-13","0","19","12","-3","13","9","-2","-14","-28","1","16","-3","-24","2","0","7","1","15","38","-2","-11","0","21","-6","22","-12","3","0","0","-10","-40","-3","8","21","18","0","-24","6","19","14","-8","11","0","-5","10","-16","32","-6","-24","0","3","2","-8","2","12","0","21","26","6","-7","-2","12","-6","0","1","29","-3","2","8","3","0","-2","35","-15","30","-3","-6","0","-18","16","-36","-5","29","-3","0","0","-3","-14","-9","2","-11","0","-23","7","-16","2","-11","-2","0","1","-27","20","-36","10","28","21","-6","-9","0","-21","-26","12","0","20","2","-11","-30","-9","-40","0","-30","8","-60","8","-8","-9","0","21","0","24","-5","-3","-12","0","14","2","18","7","0","-9","0","2","32","-12","-27","-32","-24","0","-21","-14","-14","2","-7","2","0","-2","1","-14","-3","-5","35","0","10","2","24","24","-28","12","0","-25","7","6","25","-20","-3","0","10","30","1","1","-42","6","0","13","5","-3","-13","-13","-20","0","18","19","-41","12","32","-3","0","13","-1","9","-12","-2","-14","-14","5","-28","-39","1","-44","16","0","-3","-9","-24","12","2","-18","0","-9","7","4","1","40","15","0","38","38","-2","22","-11","-32","0","-29","21","31","-6","12","22","0","-12","8","3","13","0","-30","0","-5","-10","7","-40","-31","-3","-7","8","54","21","-18","18","19","0","-24","-24","-9","6","-40","19","0","14","44","-8","5","11","10","0","-16","-5","-7","10","-29","-16","0","32","6","-6","-2","-24","9","0","-48","3","-15","2","24","-8","0","2","9","12","5","0","32","21","9","26","-5","6","6","-7","0","-2","-73","12","68","-6","0","0","-8","1","11","29","6","-3","0","2","-5","8","-15","3","-13","0","-4","-2","32","35","25","-15","0","30","13","-3","17","-6","-48","0","34","-18","48","16","40","-36","-14","-5","22","29","0","-3","30","0","8","0","-90","-3","40","-14","0","-9","-9","2","-36","-11","2","0","7","-23","-60","7","-4","-16","0","2","-48","-11","37","-2","-38","0","-39","1","4","-27","-2","20","0","-36","-6","10","14","28","4","21","36","-6","32","-9","-66","0","0","-21","-24","-26","29","12","-10","0","8","20","-3","2","28","-11","0","-30","-12","-9","-10","-40","-9","0","-17","-30","-52","8","-25","-60","0","8","-8","-8","14","-9","21","0","-16","21","-39","0","-46","24","14","-5","-74","-3","-42","-12","-10","0","-2","14","0","2","-6","18","0","7","3","0","40","-9","80","0","-2","2","40","32","-22","-12","0","-27","60","-32","-42","-24","0","0","-4","-21","15","-14","41","-14","0","2","-26","-7","-38","2","-40","0","22","-2","36","1","-20","-14","0","-3","-28","-5","26","35","-40","0","6","10","42","2","-13","24","0","24","-14","-28","-12","12","-16","0","-2","-25","48","7","-39","6","0","25","-18","-20","-30","-3","-24","0","-59","10","3","30","51","1","-14","1","16","-42","-59","6","-34","0","48","13","44","5","54","-3","0","-13","10","-13","-6","-20","-20","0","11","18","-14","19","74","-41","0","12","1","32","36","-3","67","0","-52","13","-67","-1","18","9","0","-12","37","-2","2","-14","-25","-14","21","5","6","-28","-10","-39","0","1","60","-44","-6","16","4","0","7","-3","6","-9","10","-24","0","12","64","2","-27","-18","-1","0","-56","-9","-53","7","11","4","0","1","30","40","76","15","12","0","-20","38","9","38","36","-2","21","22","28","-11","5","-32","-32","0","17","-29","7","21","31","31","0","-6","54","12","-42","22","38","0","-43","-12","21","8","5","3","0","13","32","0","46","-30","33","0","21","-5","-16","-10","72","7","0","-40","42","-31","-32","-3","-79","-7","8","8","-6","54","24","21","0","-18","2","18","84","19","35","0","54","-24","5","-24","24","-9","0","6","60","-40","-28","19","-14","0","-50","14","-12","44","0","-8","0","5","85","11","60","10","48","0","36","-16","30","-5","-54","-7","77","10","80","-29","2","-16","12","0","32","32","6","6","-67","-6","0","-2","-18","-24","-60","9","60","0","-32","-48","2","3","-5","-15","0","2","-35","24","84","-8","-37","0","17","2","-31","9","-54","12","0","5","-42","0","33","32","12","21","40","9","42","26","52","-5","0","6","-1","6","40","-7","-48","0","-24","-2","15","-73","15","12"],"lmfdb":"agrees"},{"label":"946.2.a.g","letter":"g","dim":4,"charpoly":["249","-366","82","22","1"],"traces":["4","4","-4","4","-6","-4","-2","4","2","-6","-4","-4","-12","-2","6","4","-8","2","-4","-6","-8","-4","-10","-4","10","-12","-10","-2","-12","6","4","4","4","-8","-18","2","2","-4","-2","-6","-12","-8","4","-4","-24","-10","8","-4","4","10","0","-12","14","-10","6","-2","-8","-12","-12","6","-24","4","40","4","18","4","-14","-8","24","-18","6","2","-28","2","-10","-4","2","-2","-12","-6","20","-12","4","-8","12","4","48","-4","-34","-24","20","-10","22","8","6","-4","-6","4","-2","10","-36","0","18","-12","54","14","18","-10","14","6","22","-2","10","-8","36","-12","22","-12","12","6","4","-24","30","4","-48","40","14","4","-4","18","6","4","14","-14","78","-8","-4","24","-4","-18","-18","6","12","2","-24","-28","-36","2","0","-10","30","-4","12","2","-6","-2","10","-12","-36","-6","-30","20","14","-12","-6","4","20","-8","12","12","22","4","12","48","58","-4","-6","-34","-18","-24","-6","20","28","-10","-24","22","8","8","-74","6","-32","-4","-12","-6","24","4","18","-2","-18","10","28","-36","12","0","60","18","-54","-12","4","54","-26","14","-6","18","-6","-10","-28","14","70","6","10","22","70","-2","68","10","-36","-8","4","36","8","-12","16","22","30","-12","-32","12","-24","6","24","4","-34","-24","-6","30","54","4","6","-48","-48","40","10","14","42","4","-28","-4","-4","18","-36","6","-14","4","-42","14","54","-14","-34","78","-28","-8","-4","-4","-10","24","0","-4","-50","-18","12","-18","-6","6","12","12","-54","2","30","-24","34","-28","-36","-36","18","2","10","0","2","-10","-2","30","36","-4","36","12","-30","2","-68","-6","36","-2","-8","10","-102","-12","-8","-36","12","-6","-72","-30","-58","20","-30","14","-26","-12","-36","-6","-36","4","-26","20","42","-8","-16","12","36","12","-4","22","44","4","-78","12","8","48","-80","58","16","-4","44","-6","12","-34","-30","-18","-66","-24","18","-6","-4","20","42","28","84","-10","-84","-24","36","22","-16","8","48","8","-6","-74","-16","6","52","-32","-14","-4","18","-12","2","-6","-8","24","34","4","-36","18","18","-2","-16","-18","2","10","-6","28","-82","-36","-72","12","-2","0","-64","60","6","18","24","-54","-6","-12","22","4","-44","54","6","-26","-18","14","-20","-6","8","18","2","-6","26","-10","-10","-28","-114","14","-32","70","2","6","66","10","22","22","72","70","-24","-2","-32","68","12","10","-44","-36","12","-8","-48","4","-18","36","-18","8","48","-12","-54","16","28","22","-28","30","34","-12","-4","-32","-10","12","72","-24","-8","6","-6","24","90","4","-54","-34","54","-24","-68","-6","-44","30","-30","54","24","4","-24","6","52","-48","12","-48","-22","40","96","10","72","14","66","42","-28","4","16","-28","-48","-4","-8","-4","-36","18","-102","-36","-42","6","-146","-14","72","4","-18","-42","30","14","-6","54","-6","-14","0","-34","-4","78","58","-28","34","-8","0","-4","-14","-4","-20","-10","-6","24","50","0","-96","-4","-38","-50","-12","-18","0","12","70","-18","6","-6","76","6","60","12","-30","12","54","-54","-88","2","-8","30","-26","-24","-12","34","-14","-28","-12","-36","-20","-36","-136","18","-48","2","6","10","-18","0","94","2","-12","-10","34","-2","-56","30","-6","36","52","-4","42","36","-10","12","-60","-30","-108","2","62","-68","32","-6","102","36","-24","-2","64","-8","8","10","-124","-102","50","-12","76","-8","-42","-36","16","12","-18","-6","12","-72","-4","-30","6","-58","-62","20","12","-30","26","14","-14","-26","-30","-12","-98","-36","20","-6","36","-36","42","4","0","-26","30","20","-110","42","24","-8","-132","-16","-214","12","-48","36","38","12","-60","-4","6","22","90","44","-80","4","-28","-78","52","12","-40","8","6","48","60","-80","-108","58","-62","16","70","-4","6","44","-24","-6","-44","12","82","-34","60","-30","-18","-18","36","-66","-60","-24","62","18","10","-6","96","-4","0","20","62","42","-8","28","-36","84","138","-10","14","-84","34","-24","-4","36","-54","22","0","-16","-18","8","24","48","58","8","-12","-6","-150","-74","50","-16","-24","6","4","52","-16","-32","-60","-14","36","-4","16","18","48","-12","106","2","10","-6","50","-8","-60","24","-6","34","-30","4","6","-36","-70","18","78","18","-72","-2","100","-16","138","-18","74","2","-8","10","-78","-6","28","28","108","-82","96","-36","-108","-72","36","12","64","-2","84","0","-4","-64","-64","60","18","6","0","18","10","24","40","-54","-14","-6","22","-12","68","22","-72","4","-2","-44","-68","54","142","6","-48","-26","-18","-18","-2","14","-98","-20","-26","-6","26","8","-12","18","104","2","-14","-6","138","26","-18","-10","-60","-10","2","-28","12","-114","56","14","4","-32","-18","70","14","2","-18","6","-26","66","90","10","72","22","-42","22","-52","72","-20","70","4","-24","132","-2","12","-32","48","68","40","12","-8","10","156","-44","112","-36","-60","12","52","-8","-4","-48","-84","4","48","-18","22","36","142","-18","-60","8","68","48","130","-12","-12","-54","-16","16","-24","28","-12","22","98","-28","10","30","-26","34","114","-12","174","-4","6","-32","0","-10","12","12","-32","72","90","-24","-48","-8","-84","6","82","-6","96","24","60","90","68","4","90","-54","34","-34","-16","54","-68","-24","94","-68","34","-6","10","-44","68","30","78","-30","42","54","-10","24","0","4","4","-24","48","6","24","52","4","-48"],"lmfdb":"agrees"},{"label":"946.2.a.h","letter":"h","dim":4,"charpoly":["-104","260","-53","-4","1"],"traces":["4","4","1","4","1","1","0","4","11","1","-4","1","10","0","-6","4","5","11","5","1","0","-4","9","1","-5","10","4","0","7","-6","1","4","-1","5","0","11","7","5","-8","1","19","0","-4","-4","14","9","-5","1","-28","-5","-9","10","22","4","-1","0","18","7","-14","-6","-4","1","0","4","6","-1","-8","5","-2","0","10","11","-10","7","-24","5","0","-8","5","1","20","19","4","0","-22","-4","-21","-4","0","14","0","9","-35","-5","-17","1","13","-28","-11","-5","22","-9","-25","10","0","22","-4","4","-22","-1","-19","0","-30","18","-9","7","-20","-14","0","-6","4","-4","42","1","0","0","1","4","-1","6","9","-1","0","-8","-53","5","-4","-2","34","0","-57","10","-10","11","8","-10","-7","7","-1","-24","4","5","-13","0","36","-8","-5","5","-40","1","0","20","-17","19","6","4","16","0","24","-22","50","-4","-2","-21","0","-4","-16","0","-17","14","0","0","-26","9","-18","-35","-5","-5","0","-17","36","1","9","13","22","-28","0","-11","-24","-5","-72","22","0","-9","33","-25","-34","10","-5","0","-51","22","38","-4","-1","4","0","-22","-48","-1","16","-19","-14","0","-18","-30","-13","18","28","-9","0","7","-2","-20","-12","-14","16","0","3","-6","-4","4","8","-4","-7","42","-42","1","38","0","34","0","-9","1","9","4","28","-1","0","6","15","9","-50","-1","18","0","-66","-8","24","-53","-51","5","0","-4","5","-2","11","34","21","0","17","-57","24","10","-27","-10","0","11","-5","8","24","-10","64","-7","26","7","-4","-1","70","-24","0","4","-38","5","58","-13","-48","0","22","36","-44","-8","20","-5","0","5","12","-40","-7","1","44","0","26","20","-2","-17","-16","19","0","6","-64","4","-55","16","16","0","11","24","50","-22","-1","50","0","-4","41","-2","-3","-21","47","0","-62","-4","20","-16","-60","0","0","-17","51","14","3","0","1","0","10","-26","25","9","142","-18","0","-35","-7","-5","19","-5","28","0","-22","-17","79","36","8","1","0","9","-11","13","72","22","38","-28","13","0","9","-11","-16","-24","0","-5","-29","-72","20","22","-14","0","-7","-9","8","33","32","-25","0","-34","-34","10","-82","-5","48","0","-9","-51","-49","22","4","38","0","-4","8","-1","-39","4","22","0","-29","-22","-25","-48","5","-1","-77","16","-18","-19","-34","-14","19","0","92","-18","-19","-30","88","-13","0","18","-8","28","61","-9","22","0","-32","7","-55","-2","71","-20","0","-12","46","-14","4","16","-23","0","52","3","49","-6","72","-4","0","4","-67","8","-19","-4","-8","-7","-15","42","19","-42","-14","1","0","38","-37","0","-52","34","-56","0","-8","-9","55","1","-22","9","0","4","131","28","53","-1","5","0","60","6","28","15","25","9","0","-50","-35","-1","-13","18","-16","0","-14","-66","40","-8","104","24","28","-53","66","-51","-8","5","-2","0","56","-4","34","5","-8","-2","0","11","43","34","56","21","-10","0","9","17","76","-57","4","24","0","10","-28","-27","5","-10","98","0","-7","11","-72","-5","14","8","0","24","-22","-10","70","64","-28","-7","-52","26","-48","7","-22","-4","0","-1","-24","70","29","-24","50","0","56","4","1","-38","4","5","0","58","12","-13","2","-48","-81","0","-53","22","-12","36","-9","-44","0","-8","-46","20","-18","-5","69","0","-128","5","1","12","-22","-40","-70","-7","30","1","-6","44","-10","0","6","26","-56","20","14","-2","0","-17","23","-16","-28","19","-36","0","22","6","-68","-64","-70","4","0","-55","20","16","-18","16","4","0","48","11","-57","24","93","50","0","-22","-86","-1","42","50","16","0","102","-4","76","41","-52","-2","0","-3","-20","-21","-70","47","136","0","18","-62","-26","-4","-13","20","0","-16","-42","-60","120","0","-16","0","-6","-17","-64","51","105","14","0","3","-50","0","14","1","16","0","23","10","-5","-26","47","25","42","9","8","142","-91","-18","-122","0","-16","-35","-8","-7","-98","-5","0","19","-78","-5","50","28","28","0","3","-22","2","-17","-50","79","0","36","25","8","-28","1","27","0","44","9","29","-11","34","13","0","72","57","22","-10","38","-45","-28","77","13","-66","0","78","9","0","-11","4","-16","-70","-24","120","0","71","-5","-62","-29","10","-72","0","20","-72","22","5","-14","7","0","-40","-7","-69","-9","-5","8","0","33","-14","32","-20","-25","24","0","-20","-34","-127","-34","32","10","-35","-82","20","-5","-159","48","-48","0","-81","-9","39","-51","-5","-49","0","22","-2","4","90","38","-62","0","-51","-4","33","8","-3","-1","0","-39","8","4","-122","22","-55","0","-5","-29","-80","-22","-68","-25","0","-48","-26","5","80","-1","-43","-77","40","16","-14","-18","0","-19","0","-34","-20","-14","-20","19","-101","0","46","92","37","-18","48","-19","0","-30","-76","88","-36","-13","-18","0","38","18","-4","-8","-64","28","0","61","-63","-9","-12","22","-40","0","12","-32","-138","7","-26","-55","-35","-2","-176","71","22","-20","16","0","80","-12","-14","46","-47","-14","0","4","-74","16","-4","-23","-76","0","-68","52","10","3","21","49","0","-6","-17","72","-44","-4","-37","0","-127","4","25","-67","-14","8","0","-19","-2","-4","-27","-8","0","-7","-108","-15","26","42","92","19","0","-42","-9","-14","0","1","120","0","48","38","83","-37","-9","0"],"lmfdb":"agrees"},{"label":"946.2.a.i","letter":"i","dim":5,"charpoly":["1331","1815","-308","-100","5","1"],"traces":["5","-5","1","5","-2","-1","-4","-5","0","2","-5","1","4","4","-10","5","-10","0","-6","-2","-6","5","-6","-1","5","-4","-5","-4","-9","10","-4","-5","-1","10","-18","0","-4","6","-4","2","-22","6","-5","-5","0","6","-4","1","-7","-5","-30","4","7","5","2","4","12","9","-14","-10","-5","4","2","5","-8","1","8","-10","6","18","-22","0","-7","4","15","-6","4","4","-31","-2","-27","22","-3","-6","10","5","-11","5","-6","0","8","-6","-20","4","-40","-1","31","7","0","5","-40","30","-18","-4","-4","-7","-13","-5","-10","-2","-26","-4","2","-12","6","-9","-30","14","30","10","5","5","-12","-4","-24","-2","7","-5","-1","8","-26","-1","34","-8","8","10","-30","-6","-33","-18","40","22","-4","0","46","7","13","-4","-1","-15","2","6","18","-4","14","-4","10","31","-13","2","-6","27","77","-22","10","3","-11","6","23","-10","-4","-5","-14","11","14","-5","30","6","45","0","-17","-8","-27","6","60","20","10","-4","24","40","-19","1","42","-31","2","-7","24","0","18","-5","54","40","-26","-30","-8","18","38","4","6","4","-2","7","20","13","2","5","10","10","43","2","-42","26","-5","4","-10","-2","6","12","53","-6","6","9","-1","30","2","-14","65","-30","-7","-10","36","-5","6","-5","42","12","-12","4","47","24","0","2","6","-7","28","5","-6","1","-30","-8","-32","26","30","1","78","-34","40","8","-1","-8","-32","-10","20","30","-5","6","64","33","12","18","-30","-40","-15","-22","18","4","42","0","29","-46","13","-7","-8","-13","-52","4","5","1","-56","15","4","-2","-4","-6","-8","-18","13","4","-30","-14","-50","4","-28","-10","32","-31","31","13","9","-2","39","6","26","-27","74","-77","-40","22","-38","-10","16","-3","54","11","10","-6","-42","-23","8","10","4","4","-20","5","-58","14","32","-11","-2","-14","-8","5","-27","-30","-42","-6","14","-45","-53","0","-1","17","1","8","32","27","-56","-6","-6","-60","-72","-20","59","-10","-14","4","60","-24","-12","-40","-57","19","-33","-1","18","-42","0","31","-4","-2","0","7","-60","-24","0","0","47","-18","-8","5","-27","-54","-62","-40","40","26","4","30","43","8","-30","-18","36","-38","-112","-4","65","-6","-11","-4","32","2","-60","-7","-80","-20","40","-13","4","-2","-44","-5","42","-10","56","-10","-32","-43","-76","-2","-40","42","-10","-26","-62","5","-7","-4","28","10","22","2","-52","-6","-88","-12","34","-53","86","6","20","-6","-6","-9","50","1","-46","-30","-72","-2","6","14","5","-65","-6","30","-28","7","-47","10","-106","-36","32","5","-18","-6","32","5","15","-42","2","-12","-32","12","0","-4","44","-47","-13","-24","-29","0","-12","-2","16","-6","107","7","-50","-28","-68","-5","24","6","30","-1","4","30","-66","8","4","32","-10","-26","44","-30","100","-1","11","-78","10","34","-40","-40","-50","-8","31","1","7","8","-72","32","-85","10","134","-20","-71","-30","58","5","-68","-6","-34","-64","-26","-33","22","-12","-4","-18","30","30","-36","40","-118","15","-4","22","-72","-18","60","-4","11","-42","20","0","48","-29","0","46","68","-13","-7","7","-14","8","16","13","34","52","-18","-4","29","-5","92","-1","4","56","-20","-15","-46","-4","-18","2","-2","4","12","6","14","8","66","18","4","-13","92","-4","-28","30","-26","14","-44","50","28","-4","-7","28","-12","10","74","-32","73","31","44","-31","32","-13","32","-9","-16","2","-42","-39","32","-6","10","-26","39","27","14","-74","-30","77","-70","40","16","-22","-4","38","-5","10","1","-16","-44","3","58","-54","-26","-11","47","-10","5","6","-101","42","-65","23","-35","-8","-26","-10","-28","-4","-8","-4","64","20","63","-5","-22","58","-17","-14","-2","-32","-48","11","112","2","105","14","2","8","-92","-5","78","27","28","30","33","42","2","6","-32","-14","8","45","105","53","-120","0","18","1","-16","-17","11","-1","-63","-8","27","-32","10","-27","-3","56","82","6","-8","6","-22","60","-62","72","20","20","-94","-59","20","10","24","14","-81","-4","8","-60","78","24","-4","12","-6","40","-71","57","-84","-19","68","33","44","1","-88","-18","26","42","18","0","-124","-31","10","4","102","2","22","0","-9","-7","70","60","102","24","-52","0","108","0","-78","-47","112","18","16","8","-124","-5","36","27","7","54","62","62","-49","40","62","-40","-54","-26","-98","-4","2","-30","6","-43","64","-8","46","30","-60","18","-15","-36","-3","38","-22","112","-6","4","-66","-65","92","6","84","11","35","4","14","-32","10","-2","-54","60","-4","7","37","80","126","20","24","-40","12","13","14","-4","108","2","-8","44","19","5","44","-42","69","10","31","-56","-64","10","-2","32","20","43","98","76","28","2","-107","40","-100","-42","-90","10","58","26","18","62","27","-5","14","7","22","4","14","-28","-46","-10","4","-22","6","-2","22","52","128","6","-36","88","-43","12","3","-34","-64","53","70","-86","3","-6","13","-20","136","6","-98","6","78","9","20","-50","-42","-1","6","46","-10","30","103","72","-52","2","-98","-6","-52","-14","42","-5","-6","65","-126","6","29","-30","55","28","-60","-7","11","47","-4","-10","-25","106","76","36","-60","-32","53","-5","38","18","-164","6","16","-32","148","-5","-33","-15","6","42","-32","-2","-96","12","-74","32","-46","-12","6","0","53","4","4","-44","-86","47","-94","13","16","24"],"lmfdb":"agrees"},{"label":"946.2.a.j","letter":"j","dim":6,"charpoly":["-37706","-26894","3483","1596","-118","-14","1"],"traces":["6","-6","2","6","4","-2","0","-6","12","-4","6","2","-4","0","10","6","8","-12","-4","4","-6","-6","16","-2","8","4","2","0","-4","-10","22","-6","2","-8","10","12","-12","4","18","-4","10","6","-6","6","10","-16","18","2","2","-8","-12","-4","12","-2","4","0","-6","4","18","10","-12","-22","22","6","0","-2","4","8","16","-10","24","-12","-34","12","38","-4","0","-18","10","4","22","-10","2","-6","-6","6","16","-6","26","-10","0","16","-10","-18","20","-2","-6","-2","12","8","42","12","8","4","4","-12","4","2","8","-4","44","0","20","6","-22","-4","-32","-18","50","-10","6","12","-4","22","12","-22","10","-6","-2","0","24","2","-34","-4","20","-8","-14","-16","-18","10","6","-24","-4","12","-22","34","-58","-12","4","-38","-24","4","-2","0","14","18","24","-10","-30","-4","-10","-22","-4","10","10","-2","22","6","-34","6","-4","-6","2","-16","-18","6","-62","-26","0","10","-18","0","-60","-16","28","10","8","18","-28","-20","16","2","-66","6","-26","2","38","-12","16","-8","-22","-42","-50","-12","-72","-8","6","-4","-4","-4","8","12","-44","-4","-4","-2","-50","-8","-58","4","-6","-44","20","0","-78","-20","-16","-6","8","22","-6","4","-64","32","-30","18","-70","-50","-42","10","18","-6","38","-12","-16","4","-36","-22","-114","-12","88","22","16","-10","-12","6","-20","2","-18","0","-14","-24","18","-2","-26","34","0","4","-32","-20","-26","8","68","14","8","16","-22","18","-80","-10","20","-6","14","24","50","4","-42","-12","24","22","-14","-34","-20","58","88","12","2","-4","28","38","0","24","48","-4","-84","2","2","0","64","-14","80","-18","-26","-24","-72","10","32","30","-4","4","10","10","-66","22","18","4","-20","-10","62","-10","16","2","48","-22","-86","-6","-20","34","86","-6","22","4","12","6","-34","-2","-24","16","-68","18","58","-6","4","62","-2","26","-110","0","-2","-10","-16","18","2","0","16","60","46","16","82","-28","-20","-10","-38","-8","2","-18","-42","28","-8","20","-22","-16","114","-2","10","66","-12","-6","2","26","32","-2","38","-38","96","12","-22","-16","-8","8","-42","22","-30","42","-10","50","-12","12","-38","72","-6","8","76","-6","40","4","-38","4","68","4","-24","-8","80","-12","54","44","-20","4","18","4","-6","2","34","50","36","8","-72","58","54","-4","-4","6","52","44","-46","-20","-60","0","4","78","10","20","30","16","56","6","60","-8","-132","-22","58","6","80","-4","34","64","6","-32","-8","30","42","-18","-6","70","16","50","-110","42","86","-10","6","-18","40","6","-66","-38","-12","12","-100","16","108","-4","-18","36","10","22","-44","114","-14","12","48","-88","-16","-22","0","-16","-62","10","76","12","88","-6","-14","20","-14","-2","18","18","-4","0","-6","14","72","24","-40","-18","52","2","-24","26","90","-34","-36","0","-38","-4","-28","32","2","20","44","26","-68","-8","-46","-68","-8","-14","20","-8","78","-16","54","22","66","-18","-2","80","4","10","-12","-20","-92","6","122","-14","128","-24","24","-50","12","-4","-50","42","18","12","-14","-24","-76","-22","0","14","12","34","-34","20","-60","-58","50","-88","-22","-12","-20","-2","92","4","104","-28","-58","-38","-72","0","102","-24","4","-48","16","4","-90","84","2","-2","-10","-2","-40","0","-34","-64","-44","14","46","-80","68","18","50","26","-6","24","-110","72","22","-10","138","-32","-84","-30","-40","4","98","-4","62","-10","22","-10","-10","66","-4","-22","18","-18","-58","-4","64","20","84","10","-142","-62","26","10","-60","-16","96","-2","-106","-48","-36","22","-148","86","-12","6","134","20","-88","-34","66","-86","-130","6","42","-22","-14","-4","-76","-12","-112","-6","80","34","-16","2","22","24","-136","-16","-32","68","8","-18","-140","-58","64","6","-26","-4","12","-62","62","2","-2","-26","44","110","0","0","-162","2","-42","10","-66","16","-18","-18","98","-2","120","0","-24","-16","-8","-60","-68","-46","-34","-16","4","-82","-40","28","-94","20","-2","10","-74","38","6","8","-44","-2","-44","18","-68","42","-118","-28","-76","8","16","-20","112","22","12","16","-68","-114","-64","2","4","-10","20","-66","0","12","206","6","54","-2","-14","-26","24","-32","-84","2","-26","-38","-50","38","72","-96","-36","-12","-80","22","-136","16","18","8","132","-8","56","42","-34","-22","114","30","-142","-42","8","10","-56","-50","58","12","18","-12","4","38","-88","-72","108","6","52","-8","38","-76","4","6","20","-40","0","-4","32","38","96","-4","-170","-68","-44","-4","40","24","-8","8","-8","-80","0","12","116","-54","-70","-44","78","20","68","-4","-58","-18","48","-4","-16","6","12","-2","-60","-34","-184","-50","10","-36","-12","-8","-124","72","36","-58","-46","-54","62","4","2","4","8","-6","90","-52","12","-44","42","46","22","20","-130","60","-10","0","62","-4","104","-78","22","-10","6","-20","-58","-30","96","-16","122","-56","174","-6","2","-60","-64","8","-118","132","-2","22","-104","-58","-140","-6","-30","-80","-178","4","42","-34","8","-64","100","-6","-6","32","-18","8","-182","-30","-22","-42","76","18","-42","6","38","-70","52","-16","-4","-50","16","110","-96","-42","16","-86","-108","10","156","-6","-38","18","76","-40","-2","-6","26","66","44","38","92","12","-162","-12","-86","100","26","-16","114","-108","78","4","154","18","-98","-36","-16","-10","26","-22","-16","44","-30","-114","-24","14","158","-12"],"lmfdb":"agrees"},{"label":"946.2.a.k","letter":"k","dim":7,"charpoly":["-1218506","463920","9563","-21357","2038","136","-27","1"],"traces":["7","7","3","7","8","3","-2","7","10","8","7","3","4","-2","2","7","10","10","-2","8","0","7","-4","3","11","4","15","-2","5","2","-2","7","3","10","-10","10","6","-2","-8","8","4","0","7","7","-2","-4","-6","3","31","11","-14","4","1","15","8","-2","-30","5","-4","2","9","-2","-24","7","18","3","-6","10","2","-10","0","10","13","6","-9","-2","-2","-8","-31","8","-25","4","-11","0","-24","7","-13","7","10","-2","-12","-4","12","-6","-18","3","23","31","10","11","-10","-14","-16","4","-50","1","-13","15","-4","8","-28","-2","32","-30","24","5","-20","-4","-28","2","7","9","-54","-2","0","-24","-47","7","3","18","32","3","-18","-6","42","10","12","2","-9","-10","12","0","4","10","-24","13","-29","6","-23","-9","-32","-2","36","-2","-22","-8","28","-31","41","8","10","-25","-25","4","2","-11","-31","0","-23","-24","-50","7","-16","-13","-30","7","-18","10","91","-2","23","-12","-21","-4","0","12","10","-6","-66","-18","-43","3","-12","23","-72","31","-4","10","-24","11","56","-10","-36","-14","-32","-16","-58","4","-2","-50","-16","1","-70","-13","8","15","-52","-4","-11","8","42","-28","-11","-2","4","32","22","-30","-7","24","0","5","9","-20","-42","-4","-19","-28","17","2","2","7","-2","9","112","-54","-18","-2","25","0","20","-24","-4","-47","-50","7","-30","3","4","18","-26","32","54","3","46","-18","62","-6","109","42","-26","10","4","12","11","2","-6","-9","30","-10","-2","12","-45","0","28","4","2","10","7","-24","5","13","8","-29","-42","6","15","-23","14","-9","-2","-32","-12","-2","20","36","35","-2","6","-22","86","-8","86","28","-38","-31","-25","41","5","8","-17","10","-22","-25","38","-25","-34","4","108","2","4","-11","76","-31","-2","0","-42","-23","18","-24","-2","-50","-76","7","-110","-16","12","-13","18","-30","46","7","69","-18","48","10","18","91","25","-2","13","23","3","-12","6","-21","-22","-4","12","0","12","12","39","10","-72","-6","60","-66","28","-18","-57","-43","3","3","-10","-12","10","23","30","-72","-74","31","70","-4","18","10","17","-24","186","11","-23","56","-22","-10","10","-36","6","-14","-45","-32","-10","-16","56","-58","-42","4","163","-2","85","-50","18","-16","-18","1","22","-70","-88","-13","-8","8","24","15","-14","-52","-6","-4","52","-11","76","8","34","42","80","-28","-20","-11","-5","-2","56","4","4","32","-82","22","-108","-30","-14","-7","84","24","20","0","-54","5","114","9","-40","-20","-76","-42","-110","-4","7","-19","-12","-28","6","17","1","2","-42","2","162","7","102","-2","-46","9","135","112","6","-54","76","-18","-2","-2","16","25","5","0","17","20","142","-24","80","-4","-39","-47","140","-50","4","7","-102","-30","-76","3","-6","4","-54","18","-20","-26","28","32","22","54","16","3","133","46","-30","-18","-26","62","-154","-6","27","109","31","42","-54","-26","9","10","24","4","-71","12","54","11","72","2","-22","-6","28","-9","-90","30","4","-10","-14","-2","-2","12","90","-45","-76","0","56","28","18","4","103","2","106","10","2","7","58","-24","36","5","1","13","-44","8","40","-29","28","-42","-32","6","45","15","-66","-23","10","14","46","-9","-40","-2","52","-32","8","-12","-40","-2","106","20","-46","36","6","35","48","-2","84","6","54","-22","-72","86","-56","-8","-125","86","-30","28","68","-38","17","-31","-30","-25","22","41","144","5","-168","8","16","-17","10","10","2","-22","-51","-25","-4","38","-14","-25","-72","-34","2","4","32","108","47","2","17","4","94","-11","16","76","-84","-31","109","-2","9","0","99","-42","73","-23","-51","18","-138","-24","6","-2","-44","-50","-90","-76","-57","7","-14","-110","-61","-16","-24","12","18","-13","76","18","67","-30","36","46","-90","7","14","69","32","-18","-21","48","-106","10","-120","18","18","91","-51","25","38","-2","-98","13","140","23","-37","3","-31","-12","-11","6","10","-21","15","-22","-82","-4","-6","12","-100","0","-8","12","40","12","-32","39","132","10","96","-72","5","-6","-76","60","2","-66","-42","28","2","-18","99","-57","96","-43","-72","3","-8","3","24","-10","-74","-12","64","10","-64","23","-166","30","48","-72","0","-74","-13","31","6","70","-2","-4","46","18","-72","10","-74","17","94","-24","-84","186","-40","11","70","-23","13","56","-140","-22","-79","-10","6","10","-82","-36","24","6","-24","-14","-2","-45","32","-32","-144","-10","-24","-16","-9","56","23","-58","72","-42","-80","4","126","163","40","-2","8","85","19","-50","0","18","-42","-16","68","-18","-2","1","-35","22","-134","-70","-4","-88","-132","-13","-28","-8","-138","8","2","24","-35","15","-196","-14","55","-52","-31","-6","-12","-4","46","52","-82","-11","-90","76","12","8","97","34","-58","42","-208","80","28","-28","60","-20","-25","-11","-8","-5","56","-2","-176","56","78","4","-94","4","0","32","-12","-82","-72","22","-2","-108","-137","-30","-11","-14","112","-7","-128","84","-63","24","-79","20","48","0","16","-54","-34","5","-2","114","-110","9","94","-40","-24","-20","-27","-76","196","-42","-82","-110","-178","-4","-154","7","-62","-19","-114","-12","-51","-28","-95","6","42","17","-13","1","188","2","-103","-42","82","2","-56","162","-15","7","-202","102","94","-2","32","-46","-94","9","-69","135","10","112","-16","6","-110","-54","-162","76","-30","-18","-4","-2","-41","-2","-80","16","-4","25","-118","5","126","0"],"lmfdb":"agrees"}],"seconds":0.444,"computed":"atlas","estimate":{"seconds":0.948,"low":0.578,"high":1.639,"bytes":2469037}}