{"label":"509.2.a.a","letter":"a","dim":14,"charpoly":["-13","21","232","-682","12","1445","-621","-1193","504","508","-117","-109","1","8","1"],"traces":["14","-3","-5","3","-5","-8","-17","-6","5","-7","-20","-3","-6","4","-11","-15","1","-10","-45","-6","-15","0","-4","-5","-11","2","-17","-17","-8","-2","-17","5","1","-5","-6","15","-8","16","-19","2","6","27","-45","-8","-5","-26","4","27","-1","33","-34","-11","3","6","-18","20","22","-3","-11","7","-11","10","-9","-22","-3","37","-47","43","15","9","-15","3","7","-4","8","-12","49","81","-37","29","18","23","7","16","-16","39","25","18","11","57","-38","23","1","27","30","23","14","16","-36","-12","7","39","-1","23","29","-7","-9","58","-48","35","31","35","29","47","-18","4","25","21","13","59","-12","42","13","-2","33","40","2","63","33","-15","-11","-9","79","26","36","1","0","37","-63","9","2","38","19","-30","-37","13","39","25","-22","33","-90","-20","33","-39","9","-48","-10","9","25","-10","0","-54","-59","26","17","-33","25","41","-6","-51","-123","-23","3","-2","-46","12","-3","8","1","6","-16","-52","-30","-33","33","-49","-63","48","-5","-11","31","-26","3","-14","6","-39","8","79","-46","-2","-30","18","6","-48","-33","-61","8","-28","83","29","-103","-17","59","-45","-31","-38","-5","114","-22","18","1","-88","-15","-15","-51","-63","15","-30","-13","43","46","-10","19","-10","-95","-115","61","6","-20","-16","-14","-110","-6","-42","74","-43","-42","81","16","-56","-57","-132","15","7","89","-25","-4","18","-92","35","49","-53","41","-7","30","-28","-47","-14","-1","-102","-65","-26","55","6","-38","16","-20","-41","25","-32","-40","-82","2","-15","11","-16","-62","45","-17","-1","-120","-54","24","-102","-26","-60","-4","-34","29","-75","23","-28","27","49","6","-82","-10","79","79","20","-15","-88","68","-26","75","-30","32","-33","-64","-26","57","20","-26","-2","95","12","-19","14","-3","-8","-116","-98","85","0","97","-87","37","5","-87","-35","9","90","38","73","-37","-16","-20","96","-25","-49","-60","11","113","111","-17","-8","49","-71","-31","-82","37","-24","144","87","27","18","80","-71","-9","94","-10","32","24","51","68","-17","20","77","-84","87","52","-111","19","95","78","-130","-53","-18","37","-127","-28","-61","37","124","-32","-134","35","58","114","11","28","-70","-51","-83","13","61","31","-33","50","-72","-27","93","36","-2","14","-18","21","-20","29","38","-38","-10","83","-56","30","-4","14","64","21","45","-9","14","41","57","45","39","14","-90","48","-7","91","-39","44","73","23","-66","79","39","55","47","-77","-44","120","39","70","108","1","62","-29","63","73","-146","16","-27","178","12","-64","21","127","41","6","42","84","43","-7","-59","37","67","49","-58","-40","31","56","33","105","87","37","32","14","23","-4","-9","61","-63","66","42","31","163","-122","-14","-16","65","78","20","-4","-4","81","-56","-14","83","18","-72","164","20","4","-148","84","68","43","39","-40","-256","37","149","43","67","58","-12","-50","-29","83","95","128","-127","-16","16","39","-62","-148","-12","-32","13","93","40","36","-140","-132","-8","94","-18","36","-35","42","-32","-53","-56","-85","-83","13","-7","59","75","34","-70","118","-13","-21","77","26","89","-248","-18","7","-61","45","-61","79","16","-117","30","-61","143","-3","60","-111","23","48","165","-73","83","20","-7","-25","82","40","26","61","79","-37","-15","61","-162","-26","-63","88","19","-72","5","-117","-12","-83","-45","-105","-12","-12","-70","2","-161","-53","-236","-123","66","159","87","-40","26","33","76","-122","-113","-160","-62","-53","51","-26","70","8","178","-192","78","-2","-137","-103","16","69","-40","-50","37","-2","10","-15","-33","-91","-112","-36","-81","138","-32","-69","27","-37","-148","-30","75","-60","-97","-71","7","1","119","-25","-181","41","123","-16","-65","-44","239","-41","-99","-50","-35","-96","-111","67","35","116","42","-66","-143","-128","-143","70","1","26","-116","25","-21","-87","158","-19","-4","16","57","-5","188","105","-27","-73","-279","-62","33","-85","-121","16","43","-75","26","83","-23","-43","-31","26","76","-108","-139","120","42","-16","41","58","-149","19","-101","-118","115","29","46","-169","34","113","97","35","-68","-66","-139","-54","-10","-1","-18","1","-90","-73","-28","122","-101","71","140","-25","-21","-145","38","-23","53","-126","84","-15","-98","-79","-42","-16","189","-63","37","104","-39","-62","84","-146","7","-40","-250","120","82","119","-91","15","-76","-146","139","-19","67","103","-48","-87","-95","-109","-187","-47","-82","49","-49","-113","69","-11","-53","-132","27","-37","132","-118","-139","-49","74","102","26","188","-110","10","-92","-9","-142","75","-68","39","34","-59","5","9","69","83","187","-73","212","-65","39","-33","159","120","-145","-14","-90","-2","-82","-233","-12","-65","123","-53","8","-38","-223","-1","-158","109","88","137","-152","73","71","20","73","130","-7","-107","-21","-185","87","31","33","-101","-46","12","147","-29","221","-27","-23","38","-71","136","-56","58","34","91","-115","95","-5","7","-35","-46","135","-47","167","38","-169","-56","217","-111","0","-63","-37","250","59","-183","18","2","-15","-269","119","58","-130","71","-149","-124","159","-155","225","-121","112","30","-35","-95","121","-79","-122","102","81","16","68","-116","-70","-76","97","76","63","-5","-48","-5","31","-106","-106","108","49","-64","-57","47","96","-29","-181","-37","2","34","-74","58","8","-257","14","53","27","45","47","-77","31","61","-37","-6","85","216","195","-51","-77","30","173","179","64","-166","143","-2","-57","-135","159","46","-106","-50","76","98","94","-163","-175","58","-121","-170","45","37","-32","45","-73","82","156"],"lmfdb":"agrees","space":"509.2.a","level":509,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[509,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/509.2.a.a"}