{"label":"151.4.a.b","letter":"b","dim":22,"charpoly":["-67372030867991488","-14288741498091520","37727290344398272","9447245633001024","-7903527758972180","-2128562205760434","857433194268028","237694354846122","-55032035299736","-15070026017873","2254637430557","576247397266","-62008140723","-13622784462","1171912322","198234727","-14995995","-1704187","121884","7775","-550","-14","1"],"traces":["22","6","8","100","59","48","30","51","330","-11","125","21","116","200","116","504","391","205","141","699","270","84","204","517","927","559","584","432","485","472","261","559","918","799","788","2188","101","426","-800","-2093","1746","-2288","-1043","-135","1051","-2737","1013","-5959","-152","-2439","-1296","-485","956","-1721","-758","315","942","-5588","981","-8485","524","-2546","-2630","743","2204","-746","818","1580","-966","-3261","1494","-4797","-290","-1877","-1110","-4838","-660","-8760","238","1879","4850","-2552","2180","-3309","-1166","2413","-638","-6029","6774","-6830","410","546","764","-5145","-700","3860","2101","2140","-865","1633","6046","-2978","421","6800","2324","-4581","764","-2444","1220","3808","6122","-1976","7318","-1255","4390","953","4744","-1961","6128","1462","9491","3518","2220","-2859","8190","-665","-185","1076","7274","466","6980","5857","3548","1894","2754","8861","6513","-977","4177","5679","3224","6391","3052","16367","6628","7886","6406","34","13336","13715","-3322","10860","7199","-4696","2861","-13089","514","4951","3902","-14847","9352","-8578","-7836","17024","-5550","1820","-5238","-12301","2556","4912","-22309","-8015","4709","-400","-13878","-5788","-24834","-1034","790","19836","-1718","-1157","-15668","-16017","2604","-3189","-24929","16232","-9684","12005","4871","-37666","-3185","7637","-24922","-19414","1648","-14811","-9934","-19968","2480","729","1642","-2798","-14092","12849","-27400","4898","13198","-27398","-16514","9339","5446","-1860","-10381","4205","-12554","489","-26792","-12406","5918","-13668","-17969","18573","15023","-8607","-18547","22596","-1905","6892","-46836","-38946","11234","11232","-26152","21920","-13428","11623","11351","-75767","7381","23064","-3634","9915","9633","4480","-29626","-11406","8680","-21902","-7704","-12390","390","15481","-42986","27704","16324","31458","-10058","23359","-14739","-13545","-7328","36075","19740","22597","-8724","27817","24321","21096","-8752","26848","-10494","8545","-5091","-33411","-23156","7329","-15923","20776","16210","28930","-27656","47325","-2894","2821","-9692","9541","9863","-2836","-15540","3236","35438","35514","-21273","16922","18942","34775","12944","-3491","10770","-906","-28524","-19313","19574","57383","-10233","20382","20616","32057","11497","-35192","-1541","39169","-18228","12415","15262","55134","-1650","70226","34036","2483","9130","48837","420","16398","-40882","26819","36598","63590","-39305","46466","24953","19402","20978","16857","-6600","47330","-16682","-8877","53650","31335","-31728","44102","-25550","27195","-35178","23855","17063","-14140","-27300","-51830","32674","32339","-9430","17886","-10434","13524","12298","-88340","3895","-89104","15534","29679","-9456","51541","-42980","17859","64308","-27483","-38146","-24286","25040","-47037","-35508","-48829","1850","-34917","12382","-109052","31932","-21193","5105","57195","-33420","-45344","-93623","40479","-1872","-54961","-26138","-65116","9976","39629","-12468","-32867","-25885","14874","-10186","32259","-2359","-53647","-25556","-40820","58201","-34621","-35059","-33089","13700","-45197","-3010","527","-2474","-52137","-16494","-8369","20816","16424","44100","15049","-26352","-93769","42393","-14433","34039","-50942","-36408","-89495","34048","-32118","16464","-179703","49374","-25934","-474","-30311","-16818","85330","-16631","-86542","8854","-13759","-4282","102557","28982","-116058","14040","4951","68074","-119991","-13558","-4326","-1208","64491","-44076","-82681","12703","-36305","-17684","33728","50609","-74158","2443","-95268","39732","23169","-56698","145604","34522","-183031","-22076","-12479","18280","35668","-10948","-25777","39266","568","26878","94707","50388","-43075","38908","21282","19548","-18498","-17763","-80515","78772","66570","-42223","-43359","-19210","-65465","6660","-27250","3636","85604","-5862","4264","-1994","-9056","35017","79467","33054","-117083","-81346","72132","67500","739","-31132","-203816","60592","9485","13022","94268","59690","-63795","-12808","45171","72423","-118069","10322","68856","21792","-11967","-75924","64429","65666","-154317","49839","-4024","-24322","80384","3724","-70655","30162","34227","71681","-155248","4031","-74514","73416","135257","74250","-26876","-37333","-69492","42142","12313","-1421","31946","51322","17952","7146","57210","-29534","11105","47798","-62546","61492","18520","41845","103765","44920","14390","-20788","164171","54211","33178","30407","-189015","48976","105144","-35752","196918","21311","44440","42354","135576","4458","-73475","426","2541","87704","102635","-12096","100618","79536","-93814","25828","-60032","104282","203145","63106","-75989","35282","132404","20930","275043","47191","-180003","116208","-15100","13396","29641","-17048","110398","123712","19510","44304","86479","-9028","-34241","-22392","53323","-17352","-11645","63654","-8805","-99240","63482","28844","-111701","-6612","-7038","-29826","94696","16749","-29370","-14000","-113764","1518","128465","12361","16408","-97348","-45124","8970","-66255","53799","-191641","83557","-33296","-102536","-83177","5487","-51847","-88154","-77273","-56254","2306","-99076","205554","6702","27200","-14794","-40260","-58761","-19219","-19110","-118692","-176150","67647","14608","-54132","8000","57810","-44078","-11998","31446","-112686","-63411","13749","-776","62945","-76124","95265","-25678","-58099","41266","-15855","-13764","-246709","-112421","-180936","-37214","-12199","77084","141130","-48456","-64672","-283242","-35905","9718","172386","54352","-111354","52152","-62853","-102003","-230722","-85080","-39871","-153480","128230","-9786","-216502","38539","69965","61842","-129760","112144","100868","-69176","-157935","-76168","102562","38412","205657","4238","-230033","-38222","123697","-49504","-99098","63752","-4630","-107736","-147733","94550","-2070","-149722","-92337","137174","-149115","61220","77555","-31940","-200526","-96522","-64047","-42865","-16868","1960","9166","-37994","-40363","-8240","126293","76948","18828","-167254","21994","-8909","-46828","-239643","-59977","20262","242364","144070","254953","-34842","170257","-302846","9889","-38404","-226734","56722","-159683","95938","-97799","-71778","292327","-112229","127388","416","40996","79790","-8642","-73510","-131509","105044","-171102","21474","106363","89757","124990","-294158","91830","-26874","-340663","-176528","144750","-89654","-42943","7797","205221","-4034","-305539","111396","-9251","8822","34690","-89918","-76628","45048","83490","-22910","-84276","-25912","-36883","-268060","34103","196044","-17176","-4690","81834","128520","-57037","43476","-38473","24427","-12678","96860","223633","28432","97707","-198684","-193075","101728","206894","-113433","296746","-68326","40116","-105516","-53436","105003","-79360","25519","-268194","-95330","59915","-74071","-23550","-3290","105010","-208018","129516","93674","11578","-93151","-1304","-257360","76408","6724","345864","-105686","-46036","-98208","-38787","7470","299861","91604","91846","138620","61215","-137646","212193","106240","-39896","-29927","105014","76372","65583","-164748","156329","42766","46278","215482","284212","-79581","170162","-246170","345557","10596","343148","87750","-144032","82353","-20134","-98427","169318","-49206","86337","20844","-110469","126556","421307","-231018","125964","-76380","-81602","209664","-7248","76501","-119363","-25322","31884","67695","437165","181196","148541","-15962","77969","41160","52559","-78922","42285","188150","118993","35054","59737","-61377","41642","108245","-18063","216680","572569","139223","-43731","-232712","195820","-46471","335943","172929","246280","26114","143658","42510","218771","-121774","399028","-35870","-129746","-54966","-101515","-67182","-11923","150204","-79181","-75101","-168943","129266","186193","-389014","216638","-10148","-528427","-23731","-42500","-46130","38082","-108411","112359","-62326","35977","266140","287203","54780","54694","-368818","-51776","26322","138141","266346","-37366","59534","-171382","-405810","28526","34054","101627","196960","-153390","-21060","-264937","-168596","80675","-156557","-106218","-110448","-40585","30126","-76829","337","229865","128064","-359765"],"space":"151.4.a","level":151,"weight":4,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[151,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/151.4.a.b"}