{"label":"479.2.a.b","letter":"b","dim":32,"charpoly":["2550717","-109995678","-471701802","9029625271","68617794259","142171527973","-42021772396","-403862086316","-142211793688","499959702602","238890398341","-375101029632","-165826086624","187190452708","65109425841","-64251441694","-15806504776","15412369331","2406842138","-2601650507","-214638469","308331082","7329678","-25295422","570303","1392943","-81959","-48577","4228","957","-104","-8","1"],"traces":["32","3","5","43","6","7","8","6","55","2","11","3","13","1","11","61","0","5","19","1","10","6","0","1","74","-8","8","2","21","-37","37","-10","7","20","-20","54","49","-27","16","-17","28","-61","1","14","0","45","-17","-23","90","-32","-20","-11","-3","-30","-1","-34","17","30","-8","-43","36","-54","-34","80","21","-96","19","-59","3","-17","13","-53","58","-38","-16","-6","-48","-97","48","-74","96","-28","-44","-89","49","-45","-74","-4","49","-147","39","-85","4","-24","-74","-101","81","-79","-17","25","-30","-136","-18","-110","-22","-11","-35","-122","106","-150","-55","-103","9","-85","-49","-51","-78","-106","-34","-237","109","-83","-53","78","-12","-55","-12","-52","22","-13","-26","-34","19","-17","7","79","45","-62","5","-38","91","35","-52","90","58","24","7","118","-16","9","81","-42","-22","45","-3","45","-17","-7","-83","-47","25","120","18","76","-46","35","17","-48","167","40","29","40","-44","22","-35","165","110","-40","-18","19","66","63","-70","107","48","129","-21","-52","-16","88","-40","124","130","9","-55","124","10","13","40","-59","102","-21","10","-14","-16","102","-72","-80","36","77","61","121","-75","112","-76","85","60","5","-2","83","34","121","-24","-58","222","-25","-49","-19","68","108","5","259","-5","-16","3","-39","-61","-65","-18","3","150","154","-86","-38","-53","207","37","19","78","-56","-24","25","0","14","-102","63","49","117","-37","229","70","51","-116","-141","176","105","7","-40","-26","-8","-8","60","-90","21","-16","172","1","-51","11","71","59","173","-48","140","-152","-96","-27","-7","172","21","-49","26","-43","151","-26","-107","26","-52","-130","217","192","222","-181","13","-7","20","-9","-151","72","-150","65","-146","112","-71","-228","242","-43","141","-8","80","-29","35","-102","130","16","-29","-24","-192","-27","81","130","56","23","-45","-119","-42","121","180","-113","101","-137","300","-116","-101","49","164","-56","-304","-48","41","78","53","-67","-181","-155","264","24","-124","-82","-146","171","104","-144","75","82","-87","-104","-199","61","-20","-86","351","-39","105","-55","56","-39","-290","76","-306","-107","-41","-144","-106","89","107","-174","46","-93","81","-60","110","49","68","-123","57","-29","-76","-272","-10","179","438","-126","-172","-195","17","-99","-310","165","66","-176","-18","-164","278","-54","-175","-2","-254","-70","99","200","-22","-232","-41","-258","176","-31","128","-123","37","-126","-226","18","-184","-293","149","121","-340","-90","-131","127","3","-144","-60","47","113","-202","-237","174","32","-172","121","-218","-52","-320","231","22","-138","-289","-337","-107","-7","-29","-211","-155","77","-76","-422","-7","189","-166","7","-155","-239","-127","17","-81","-179","32","-438","102","211","-271","83","-90","193","10","-301","148","-230","-64","109","-128","-179","-116","95","-105","21","124","333","-23","-87","-74","-261","258","11","164","-109","-22","-38","-60","4","19","49","1","42","-130","283","-86","-222","28","312","-31","-92","-88","179","20","102","158","-91","-80","47","-18","-144","-73","86","64","-125","-94","90","55","52","36","146","-75","274","2","-62","53","-138","28","164","134","469","-14","-156","-66","-87","-63","301","251","-137","-20","152","28","-69","-15","-43","34","320","31","167","19","-266","-59","429","114","-89","-11","30","20","154","24","-14","26","-43","21","281","-53","92","-39","83","-32","-311","-132","-148","-192","-98","-86","-70","148","229","188","203","-21","201","30","-42","172","248","-34","374","-61","-50","83","-101","62","-290","-11","-195","-60","173","198","414","140","391","70","-204","-119","141","35","147","10","-140","171","-122","25","-19","56","-219","202","80","6","19","85","-90","-25","14","212","30","81","96","-43","154","89","99","55","-302","72","-141","38","241","89","-144","-51","29","-106","247","234","-181","73","56","124","-193","283","329","-20","11","20","545","62","94","11","-321","-143","-111","129","-219","-3","393","71","138","-26","52","7","111","259","49","-58","-226","-30","-95","41","186","-120","-296","221","125","72","9","216","-276","-21","228","-99","437","-140","-14","151","-83","352","152","60","43","160","378","-164","-122","145","-284","-24","-198","-92","-20","141","328","-107","210","192","-68","-162","-20","-71","278","76","-136","86","-385","-35","150","53","129","116","-244","51","-12","68","101","107","143","-110","237","-15","82","-209","-106","111","-102","0","202","301","-51","69","-249","95","147","-137","-187","106","690","65","-127","-89","-117","253","100","-142","135","-215","-265","-77","805","177","-103","70","-177","106","-379","-12","-394","377","-131","223","207","-269","42","8","-243","175","175","-43","194","49","-188","114","-329","124","12","287","-188","-55","111","54","357","-64","112","-134","-689","90","321","165","-264","-112","-227","68","137","-134","-365","0","372","221","14","332","6","-99","-70","-144","83","158","-109","236","339","-115","-34","-69","107","-120","-49","-107","-361","-411","98","54","-43","93","-15","282","-361","99","54","-131","-137","351","-333","84","238","-21","54","352","-369","63","211","-25","-297","-88","-115","-149","38","386","82","-191","4","148","-320","-2","305","-266","-360","66","155","5","-6","214","-350","42","196","-100","-209","-83","-593","123","302","-194","-91","292","131","-333","-194","-180","367","199","-207","-57","-191","196","-124","-1","359","229","-639","169","390","-166","-264","33","-569","-97","-425","-207","-378","-105","345","-22","-248","326","-63","90","6","243","225","-15","-621","-67","-233","-15","-161","-290","3","-233","520","149","159","179","69","31","-11","-108","170","-36","-566","-106","-464","-210","47","178","122","28","176","61","-256","113","-215","158","234","-154","324","-149","-397","-189","-540","258","-187","-148","-298","94","-253","76","-247","-47","-548"],"lmfdb":"agrees","space":"479.2.a","level":479,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[479,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/479.2.a.b"}