{"label":"115.4.a.d","letter":"d","dim":5,"charpoly":["-361","437","-89","-47","11","1"],"traces":["5","-5","-6","33","-25","-36","-15","-102","79","25","-153","-30","28","69","30","145","-341","-409","3","-165","-212","11","115","-243","125","-266","-243","-709","-583","180","662","-681","-457","799","75","2047","-172","511","83","510","344","1668","-230","-503","-395","-115","-337","2050","-4","-125","-205","130","-942","783","765","2621","-890","2039","-1166","150","499","-1768","-1228","388","-140","4627","-972","-2433","-138","-345","-14","-4023","-229","-1004","-150","1529","312","3161","-88","-725","897","114","-72","-6302","1705","2490","1157","1789","-90","2045","-1309","759","-3071","-1827","-15","-4160","-1765","-4006","-91","825","-252","39","-493","-3933","1060","774","-1950","-419","-1383","-55","-2400","-4659","-5398","-2962","-575","-5695","-902","2718","2816","1215","2928","-429","4252","9304","-625","6132","-283","2233","3366","1330","2527","-7235","-3441","-344","1215","11663","-2551","-828","863","3545","-4593","-4004","3952","7591","2915","-3175","11145","-6406","-3905","-900","5342","-2839","-4083","-5404","-3310","1097","-3596","8296","8804","3405","-345","-4833","4868","76","2285","-4624","10860","19860","1509","-3995","4432","-2488","-9613","-1789","-375","-7433","-3214","2534","3295","-10235","-3557","155","4119","-2346","860","-2113","6623","-8717","-8755","-2555","-7412","20007","4051","-1621","-415","4968","212","-975","6208","-2550","9904","11364","-3636","-6145","-1720","-11817","1817","2992","2552","-8340","2160","-15598","7354","6182","1150","-4062","1447","5453","-9423","2515","-14956","32728","-7276","11859","1975","-8738","1812","-1384","-1454","575","4967","9202","-959","-23994","1685","-4546","6492","-9496","-2101","-10250","4434","-5042","2938","-8395","20","-28562","-1867","-11491","6850","625","-179","-20432","-3519","-7789","1025","-4911","-4407","-18538","18684","-650","-20254","-15559","-1159","28369","4710","3175","2170","762","-2455","-3915","-861","-19221","-7273","-14419","-3825","-690","-4075","31261","33928","-13105","-16788","53205","-12398","9176","4450","3772","804","-20225","13882","-10195","6627","14257","4972","-31157","5830","20306","-3397","-4585","644","-750","-18636","20388","-22210","-8125","-2495","55497","451","43380","2811","8840","-19749","4348","-2549","6848","6140","-23630","-4749","-7488","17056","-1940","4728","1587","4480","805","700","6778","11790","2351","29992","-23135","1167","20644","-8808","-15024","4860","-51112","-12305","33573","24148","12165","-17358","5904","-6366","-13806","690","-7653","7549","18481","-6209","1725","-2344","48349","-13947","19798","70","22420","27231","-11743","-3492","20115","-13324","-4853","19770","6897","1145","9303","-11144","3335","-5235","5020","10426","-31109","-19144","-17173","750","32950","9505","30561","6957","-7645","20787","-21520","8914","-37122","-1560","23541","-23196","-7371","-2603","-15805","-7843","-23219","115","39034","440","-41695","3182","35864","-6881","3625","1340","-56716","-24818","-18416","-4485","-9188","19192","28135","-31010","-570","3580","-18377","-9896","-9407","360","32500","-55587","-23268","-27106","31510","12661","-7008","-6894","31804","-8525","-11380","3284","2336","-25879","-12450","-2548","14645","-21085","13831","-5785","-12309","69","23399","28688","-8945","912","-11444","22568","-76494","450","67440","-31686","-44943","-8861","-10225","-47299","16072","-49898","-12836","6545","-10948","-12884","36754","13159","-3795","-18991","-57873","2804","-34291","15355","15379","-11772","23478","-28","9135","418","6266","4464","-50540","75","56720","-52546","71869","-13708","20800","13348","-5194","-4876","-6076","8825","40706","-14983","-7219","2889","20030","-1157","57572","28988","-25219","455","27874","-25376","-53582","2159","-4125","11936","-26031","9925","62324","1260","253","-31558","12565","181","-195","11494","8370","16255","43167","2465","74616","34692","-62160","85061","19665","29268","73486","-17662","64501","-5300","-88031","-14282","-107009","2645","-3870","-11634","8955","-41333","-104774","9750","25538","30731","-14753","-34150","2095","61935","-31713","38144","21819","6915","16999","11354","47857","-38787","275","17666","-5589","15028","22891","12000","-27115","-20714","-67812","34434","23295","72368","-13028","22048","-129385","26990","98838","8040","-47855","22158","14810","-21825","18258","-37284","35396","2875","-23823","23697","-24728","19553","28475","-19086","22331","-8290","8508","4510","-32452","33950","158433","8577","-13590","-7184","-32340","1788","47783","-14080","-30917","-24802","-6118","18521","-6075","30550","27856","3932","400","-14640","55646","37008","-7435","30872","2145","13627","-164571","-23028","29763","-21260","-136336","-29501","129967","1821","-46520","-5589","29377","-25620","-25301","3125","-43881","48363","-89482","280","-30660","-15864","57710","22026","12635","1415","76332","-9640","-13128","10277","-11165","24914","-62444","-27716","-16307","-16830","2056","-25499","-29466","71122","-6650","-41443","-43048","18376","-71746","-12635","42768","73132","-97240","-7400","36175","-6955","-34571","46125","-28564","17205","-17176","-13409","80032","-59092","1720","-16641","104630","40263","-19913","-6075","-40799","-39886","-35112","-11248","-58315","106738","-23970","33144","12196","12755","90466","33544","-8938","-10944","4140","-53294","-58037","99391","12405","-4315","608","11385","-42299","-26881","-17725","-4461","42550","-54604","-59171","22965","-55301","26778","-25434","2139","20020","-83200","-4438","15226","-154069","-19760","-48863","-62331","-37988","-22035","-37955","57648","54098","-76370","30177","-14575","-99816","-3659","17903","-80108","15875","-21696","23629","-32016","43856","-55725","-15663","-44924","61437","25785","32030","55117","-894","-57625","-5206","19525","47260","61442","31655","-39370","4500","18964","-51417","100754","81495","-26710","-77697","62940","19897","-10511","14195","-63430","-93735","-6975","-29324","20415","-18438","41952","34586","49946","27020","-51209","-33631","41906","35300","16550","-1653","75764","-129255","-21698","-5485","9889","18377","81817","152012","17980","41661","4950","-110442","28673","-41480","-67150","108549","65492","45704","-44020","-87910","-2966","30255","13136","-17025","70892","162768","33922","144738","1725","-162316","-77847","66902","-13821","24165","39485","102206","-37820","-41508","-24340","-139069","43536","57672","44547","-380","-40778","21860","-911","28299","-11425","-32504","45286","47081","155326","23120","-60147","54373","-20410","76131","-54300","-89528","-85638","33618","-39680","-99300","24598","5681","24158","151612","-7545","-29218","55106","13202","-5620","19975","-3956","131920","58813","-20504","-22160","2112","-5077","-35791","-179","12440","-13443","-132512","-47407","-69461","48065","93579","22926","-106555","-82216","8945","-131960","40613","-28257","11753","1875","-118321","-5631","55614","-45990","37165","62716","-74580","-44253","-54208","16070","6686","63129","254682","4998","-12670","33868","-50272","-80286","241222","-16475","112901","1909","-9793","-169755","51175","54230","92521","-27372","-39694","17785","48300","-32382","31622","-29036","-775","-89586","50918","-37258","21308","-20595","20136","-134260","-64853","91954","11730","57973","100083","58089","252011","-4300","-52784","-33975","105015","5513","10565","-53861","-65809","-21635","-11240","-33115","-17356","47997","103024","-106956","43585","78787","216238","7912","-84154","43775","27252","53272","55274","-69843","12775","-110820","-243408","-75217","138590","37060","-128275","119414","-188100","-71057","-100035","102159","34456","-3576","127302","-20255","38364","49","44153","-13997","8105","-68473","-79414","20254","-91721","2075","14367","-20925","-34685","-75136","-24840","-48482","148129","-54395","-180695","-1060","-227092","115976","-72477","-5290","4875","-7703","-153830","136641","105380","-31040","149606","-92218","-97907","-136900","12750"],"space":"115.4.a","level":115,"weight":4,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[5,1],[23,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/115.4.a.d"}