{"label":"209.4.a.a","letter":"a","dim":8,"charpoly":["7508","-26701","34001","-19056","4030","202","-142","1","1"],"traces":["8","0","-1","22","-12","1","-59","-36","-19","-120","-88","-55","-61","-93","-62","-34","107","-183","152","-82","-145","0","-259","-315","-392","-287","-205","-439","61","304","-276","-108","11","-563","-18","-791","-204","0","-705","-268","-402","-217","-598","-242","-624","705","-892","-427","-181","270","-743","743","-147","1249","132","771","-19","-771","-1193","60","-1216","1134","808","-854","2000","-11","589","1819","365","1992","-538","1617","-367","1854","565","418","649","2267","-2368","1218","1652","282","-918","3087","-978","2164","673","396","2212","2136","-2577","2579","88","-1768","-228","4917","-3136","4035","209","-96","674","1351","954","-2739","1626","1343","941","5249","-1589","1320","-2576","-203","-1596","19","208","-1455","-1474","3571","-131","4896","968","2640","138","-3194","1950","-1362","-496","2748","82","-106","380","605","-1121","-1215","-644","2037","-1443","-6619","-5568","-958","-3232","2122","671","425","-2588","7423","2590","-7778","462","-1305","-5932","-684","6332","1023","-6336","-1697","-7648","5708","-9319","-4308","-2505","3090","302","8782","682","-3232","-2906","363","-1197","-9610","-361","-2618","424","3607","-451","374","-2869","-5086","-3964","3656","-3980","1331","-660","-499","-302","3260","-1177","-12564","-7627","-2280","-7827","-427","-7622","-3094","396","-3063","8916","2013","-18529","5446","-8109","3674","-1115","-5615","174","220","-12502","2439","-1672","-1000","-8689","-10479","11962","-20029","-1166","-10215","1022","5237","12019","902","-4513","10906","3590","7483","-2885","-20750","243","-1045","3658","11070","1595","-8979","5056","4876","6600","-9139","10460","9319","5621","752","9422","0","-14686","-732","-748","5928","-1159","7942","24486","10122","-812","12716","2849","-13676","-830","-18122","22800","-6202","-8030","20172","20362","7828","14612","3465","194","-1767","-9594","19003","-4342","-18128","-7495","16611","7733","1273","4312","8291","-6468","3046","24420","4744","6854","3896","-5836","-8892","-1178","3157","-10434","3465","-4747","22064","15454","-27711","22517","7370","-1200","19130","2255","-3230","15885","-10795","18816","-39044","-24054","-646","6280","8872","7804","4829","2082","1828","-4733","17843","-7249","12120","12762","-18936","20277","31899","-671","4322","-5311","-24671","2033","-10922","-3107","-1274","12661","-16242","45548","-3344","-35355","-2214","25968","4190","-21502","-1321","15928","-1541","20378","-1354","3036","-3477","1823","4364","7276","-42226","-13322","23441","-1862","6613","10263","1188","31165","-17469","908","27366","-6139","7006","-7197","10808","2888","18110","-121","-22353","4150","-36364","11390","-30193","-16764","-3024","15417","726","15255","6193","14322","-6352","11181","4223","-25631","-1558","8808","5629","-20276","-12675","198","11592","-23482","-12378","2564","-1762","-41869","-27129","31140","8716","616","8701","-37430","-6931","-2755","17536","4880","-17983","-17032","-3374","15810","-22823","2244","-17521","21300","-43124","-7517","-16894","42441","-19266","-8690","-30415","46864","0","1794","-9862","-17827","-35595","3488","-2625","13277","-22536","-11560","33265","7755","-4622","-2074","13349","964","-19132","-27426","-65961","-4921","7625","-9110","2948","-18667","-65699","5848","-4798","5286","-27652","-13142","21977","-21784","25461","4422","-39406","9188","-31895","-22624","-5985","-487","-15304","1915","-12378","8700","2387","-27986","-33639","-8276","7864","-29130","-20578","37609","59232","-34534","52567","6578","-22820","-7448","-15803","40266","-10959","-5276","-36396","10650","-42792","42787","2662","18130","-4172","-39988","78528","35442","8056","31636","-63306","-21493","-5453","6864","1762","3476","-11778","-47268","-7752","-6298","-23266","3057","26934","9740","-7755","3868","63636","-1892","25078","-53709","-9444","-3895","75396","12170","-9002","9812","-35714","2304","-26558","-12004","-18582","637","2988","6867","60750","25566","4697","17683","-12202","-24914","-8341","18764","-33168","18554","25049","8554","91750","1991","7602","-27212","-4221","-16880","-2651","30954","-4993","-32676","70395","-25396","-2970","1159","45609","35332","6804","11434","-67216","33158","-7314","-34970","-6554","8173","38388","4368","73272","40026","-51864","10507","-9490","-4020","5776","-4716","-8173","12277","43756","-10787","31825","27253","47223","45482","56656","-24168","-9280","1617","12311","-11488","55819","-52272","-23632","-5244","-11006","-17428","16146","-9908","-13739","16314","7882","3167","100991","-20590","20163","16880","36922","31264","2896","-1452","-16470","-27586","-2052","-35147","37232","-5112","-60236","23388","71336","-7678","-8481","-24378","79094","16854","-8198","34631","17637","10060","4275","-18760","-69059","209","100658","13614","-9804","-62170","-19364","83727","-25919","9668","-3235","42976","8481","-45196","87764","25276","16063","58020","-22105","29882","-10697","6201","19326","13123","-33215","-52896","6190","-42502","9695","-61424","67534","872","70248","29421","-660","461","-621","-12877","-33976","-342","-18432","37109","-20262","-69072","-32098","13376","-18705","1212","-2112","46381","70021","15443","43836","14432","-61850","-13565","-12474","23744","-15029","-284","-20689","-61088","11006","21227","22050","-106864","-65360","-8888","138710","-34870","-46145","67758","4862","-45142","26393","-89112","-90379","-3876","9394","20280","46661","19442","3257","-15576","47910","-60964","15438","-44940","-14885","-22000","-62950","-28593","129377","-14307","-21276","-19230","0","9538","89478","-70331","121","-37299","92339","-34966","40698","-15096","49184","49334","-97764","-24766","-13403","-6479","89070","-31926","-17428","-13395","42667","26736","-86464","26368","54967","7290","-20009","-28659","-37782","-70966","-39900","80164","115377","75400","-58107","-10602","-110299","-4015","-5092","-25105","-74084","6177","-22553","-11616","-11334","-96597","66677","-94903","-21912","-35166","-42622","94031","-1946","21386","-25538","-72950","-59584","-7638","-59928","5918","-59031","-73133","-42567","-28032","-118910","-53561","-7828","31274","100344","-29184","-17787","15008","86078","12038","-53865","16015","-4123","-92600","-12282","-41762","-47048","4037","30981","-20514","-4822","-136386","131098","9381","-18468","-40659","26445","-71465","-20394","-74004","-27503","-11362","-23646","111876","49582","-25880","-24895","-54633","-137764","-6215","59551","9083","44822","-3075","8594","45092","5343","-102656","-43072","-23864","-4598","-19730","18442","6120","-75568","3007","-65533","101422","1003","9544","-50128","-7139","46233","-55672","112899","-62920","17252","48122","-133064","-11856","-31733","-88618","-24937","-20796","-53014","26596","-44502","97646","8925","58362","85786","-72366","65782","26048","-45860","-88147","36661","-55606","13395","24458","-24437","13819","97678","-18475","-13398","-50768","-11739","-53764","-2209","100988","97386","35524","-101922","-28836","-2040","-18172","98624","-16948","111610","-52076","-39149","37133","-65602","49622","38463","40169","-3102","46812","23102","10910","-31816","135711","116411","5804","-1464","-108776","-8113","10098","-5097","102476","55516","22204","28333","915","-26486","-59656","54108","-43030","-33957","33306","-1844","3072","75085","12961","-46484","-3439","-66452","36059","4236","10758","92688","-20015","34505","-25991","69160","117437","-51524","-53434","44737","24636","-23804","-28482","55500","26909","5130","55253","39919","-26502","-40006","66248","-21359","-7403","86020","-32043","-19184","-88784","9994","68654","27646","-74046","45321","26570","-4356","-14117","49372","174606","-111238","135482","29888","51847","-67052","39432","-78146","-24332","78778","-22412","88076","-35012","79424","44408","-152051","44792","14117","-13104","-23496","18052","27730","-12149","-29518","95902","-62002","1878","9804","-59132","24142"],"space":"209.4.a","level":209,"weight":4,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[11,1],[19,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/209.4.a.a"}