{"label":"30.4.a.a","letter":"a","dim":1,"charpoly":["28","1"],"traces":["1","-2","3","4","5","-6","32","-8","9","-10","-60","12","-34","-64","15","16","42","-18","-76","20","96","120","0","-24","25","68","27","128","6","-30","-232","-32","-180","-84","160","36","134","152","-102","-40","234","-192","-412","-240","45","0","-360","48","681","-50","126","-136","222","-54","-300","-256","-228","-12","660","60","-490","464","288","64","-170","360","812","168","0","-320","120","-72","746","-268","75","-304","-1920","204","152","80","81","-468","-804","384","210","824","18","480","-678","-90","-1088","0","-696","720","-380","-96","194","-1362","-540","100","798","-252","1088","272","480","-444","1716","108","-970","600","402","512","426","456","0","24","-306","-1320","1344","-120","2269","980","702","-928","125","-576","200","-128","-1236","340","60","-720","-2432","-1624","135","-336","642","0","-2836","640","-1080","-240","2040","144","30","-1492","2043","536","-1554","-150","-2272","608","378","3840","-1160","-408","1694","-304","666","-160","0","-162","-52","936","-900","1608","-1200","-768","-1041","-420","-684","-1648","54","-36","800","-960","1980","1356","876","180","3854","2176","-1470","0","670","1392","-2520","-1440","864","760","-2784","192","914","-388","-510","2724","-5202","1080","3152","-200","2436","-1596","192","504","1170","-2176","0","-544","4560","-960","740","888","360","-3432","-2060","-216","-7424","1940","2238","-1200","-1428","-804","-520","-1024","225","-852","396","-912","-1330","0","-5760","-48","4866","612","-1800","2640","456","-2688","-1824","240","6482","-4538","243","-1960","3405","-1404","2584","1856","-2412","-250","1476","1152","0","-400","630","256","4314","2472","4288","-680","54","-120","-5280","1440","1110","4864","-2034","3248","5526","-270","2024","672","-3264","-1284","-1500","0","2054","5672","-2088","-1280","-7302","2160","-3724","480","-1140","-4080","7488","-288","-3149","-60","582","2984","-7218","-4086","3300","-1072","-1620","3108","0","300","-13184","4544","2394","-1216","-2450","-756","2540","-7680","3264","2320","1560","816","-934","-3388","1440","608","-1674","-1332","-360","320","5148","0","-3192","324","-850","104","-2910","-1872","-11520","1800","-3988","-3216","1206","2400","4060","1536","2","2082","1278","840","13920","1368","10816","3296","0","-108","1764","72","4310","-1600","-918","1920","138","-3960","600","-2712","4032","-1752","-11976","-360","-1083","-7708","6807","-4352","3730","2940","9704","0","2106","-1340","7104","-2784","-8122","5040","375","2880","-204","-1728","3404","-1520","600","5568","-2520","-384","-9600","-1828","-3708","776","1566","1020","0","-5448","180","10404","760","-2160","-4354","-6304","-7296","400","-8046","-4872","7888","3192","405","-384","-8040","-1008","-2806","-2340","1926","4352","21120","0","-4020","1088","-8508","-9120","11580","1920","-370","-1480","-3240","-1776","1050","-720","-15680","6864","6120","4120","5040","432","-3742","14848","90","-3880","0","-4476","-6208","2400","6129","2856","-15564","1608","-3390","1040","-4662","2048","-15774","-450","-14040","1704","-6816","-792","-5440","1824","9722","2660","1134","0","-10890","11520","15128","96","-3480","-9732","10668","-1224","25984","3600","5082","-5280","24720","-912","-1900","5376","1998","3648","15264","-480","-4556","-12964","0","9076","970","-486","-5776","3920","-156","-6810","14244","2808","252","-5168","-2700","-3712","3840","4824","-17116","500","-3600","-2952","-16848","-2304","3990","0","-3123","800","-3834","-1260","23872","-512","-2052","-8628","5440","-4944","21600","-8576","162","1360","-18822","-108","-15340","240","2400","10560","-9744","-2880","-12167","-2220","5940","-9728","-7956","4068","8580","-6496","2628","-11052","-40860","540","18950","-4048","11562","-1344","-4850","6528","-10036","2568","-4410","3000","-456","0","4864","-4108","2010","-11344","10326","4176","14008","2560","-7560","14604","4524","-4320","2130","7448","2592","-960","16362","2280","6620","8160","-8352","-14976","0","576","8834","6298","2742","120","-25728","-1164","-13320","-5968","-1530","14436","3636","8172","17632","-6600","-15606","2144","6570","3240","6720","-6216","9456","0","16584","-600","-502","26368","7308","-9088","11345","-4788","-18568","2432","576","4900","12240","1512","-13114","-5080","3510","15360","5250","-6528","-10804","-4640","0","-3120","-21696","-1632","625","1868","13680","6776","5628","-2880","-27088","-1216","2220","3348","1000","2664","-23154","720","1080","-640","18930","-10296","20108","0","-6180","6384","-7152","-648","-39600","1700","-22272","-208","-31626","5820","300","3744","6714","23040","28092","-3600","-13186","7976","-4284","6432","-12160","-2412","0","-4800","-1560","-8120","29400","-3072","5138","-4","675","-4164","6078","-2556","6208","-1680","1188","-27840","32244","-2736","3210","-21632","-3990","-6592","-7548","0","4484","216","-17280","-3528","-14180","-144","9828","-8620","14598","3200","-30426","1836","-10184","-3840","-5400","-276","25536","7920","13262","-1200","1368","5424","0","-8064","10200","3504","-5472","23952","13920","720","34816","2166","19446","15416","150","-13614","-9376","8704","729","-7460","-17304","-5880","6014","-19408","10215","0","-48720","-4212","-7468","2680","7752","-14208","31248","5568","-7770","16244","-7236","-10080","54912","-750","32840","-5760","4428","408","-11360","3456","-19066","-6808","0","3040","6858","-1200","-31040","-11136","1890","5040","-22440","768","22178","19200","12942","3656","14286","7416","-5800","-1552","12864","-3132","-17784","-2040","-7200","0","162","10896","8470","-360","-18868","-20808","-15840","-1520","13632","4320","16660","8708","3330","12608","-21690","14592","-15120","-800","-6102","16092","-44760","9744","0","-15776","16578","-6384","-24726","-810","-2644","768","6072","16080","-260","2016","31312","5612","-9792","4680","-37842","-3852","-880","-8704","-4500","-42240","-12876","0","-25498","8040","6162","-2176","28602","17016","-6000","18240","-6264","-23160","-40584","-3840","-24353","740","-21906","2960","-5205","6480","72608","3552","-11172","-2100","0","1440","-25738","31360","-3420","-13728","13314","-12240","24524","-8240","22464","-10080","5592","-864","270","7484","-9447","-29696","-9120","-180","-27608","7760","1746","0","4000","8952","-14386","12416","-21654","-4800","47106","-12258","51548","-5712","9900","31128","34080","-3216","6400","6780","-4860","-2080","27360","9324","4380","-4096","0","31548","-1392","900","9324","28080","-39552","-3408","19270","13632","25748","1584","7182","10880","-24768","-3648","48240","-19444","-7350","-5320","1920","-2268","-31264","0","7620","21780","-4080","-23040","3350","-30256","9792","-192","-6174","6960","-51756","19464","4680","-21336","-12600","2448","28922","-51968","-2802","-7200","29238","-10164","0","10560","4320","-49440","-2868","1824","-25364","3800","-5022","-10752","24018","-3996","-13920","-7296","-1080","-30528","20544","960","24033","9112","15444","25928","4570","0","25712","-18152","-9576","-1940","-12396","972","-90752","11552","-2550","-7840","-46614","312","40680","13620","-8730","-28488","-672","-5616","-26010","-504","-34560","10336","0","5400","-38776","7424","-11964","-7680","15760","-9648","30422","34232","3618","-1000"],"space":"30.4.a","level":30,"weight":4,"T":[[7,1],[11,1]],"status":"proven","derived":{"al":[[2,1],[3,-1],[5,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/30.4.a.a"}