{"label":"122.4.a","level":122,"weight":4,"dims":{"new":15,"cusp":45,"eisenstein":4,"modsym":94},"old":[[61,15,2]],"T":[[3,1],[5,3]],"status":"proven","checks":["dim M^+ at levels [1, 2, 61, 122]: [1, 2, 17, 49] (certified at ell = 2147482921)","T = [(3, 1), (5, 3)]; h of degree 15 = 1 x 15 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"122.4.a.a","letter":"a","dim":2,"charpoly":["457","70","1"],"traces":["2","4","-4","8","-22","-8","-40","16","-22","-44","-12","-16","-66","-80","-28","32","24","-44","108","-88","20","-24","-152","-32","208","-132","56","-160","-180","-56","-24","64","132","48","620","-88","-408","216","396","-176","162","40","-112","-48","530","-304","216","-64","264","416","504","-264","260","112","-192","-320","-216","-360","-348","-112","-122","-48","680","128","-66","264","-844","96","244","1240","-224","-176","-810","-816","1168","432","-30","792","704","-352","-238","324","2280","80","-1920","-224","0","-96","-360","1060","660","-608","-1752","432","-1188","-128","-380","528","-300","832","168","1008","-1300","-528","860","520","-408","224","-1198","-384","120","-640","-4102","-432","1852","-720","-330","-696","-1860","-224","-2104","-244","-2676","-96","-4290","1360","-1500","256","-1288","-132","2380","528","-2160","-1688","1544","192","358","488","652","2480","1200","-448","1584","-352","3060","-1620","1872","-1632","4050","2336","624","864","-2472","-60","5664","1584","2456","1408","344","-704","3190","-476","-1796","648","-372","4560","4636","160","688","-3840","-1188","-448","-348","0","-8120","-192","1092","-720","3360","2120","216","1320","244","-1216","6576","-3504","2340","864","680","-2376","-40","-256","-8328","-760","-396","1056","1834","-600","256","1664","308","336","4500","2016","5274","-2600","1912","-1056","-648","1720","-5976","1040","1144","-816","5768","448","4980","-2396","84","-768","5280","240","-8944","-1280","-8624","-8204","10420","-864","-3198","3704","-1740","-1440","-6404","-660","-7272","-1392","5156","-3720","4308","-448","254","-4208","3668","-488","-10104","-5352","-3564","-192","-6192","-8580","3472","2720","642","-3000","-3096","512","292","-2576","9900","-264","3420","4760","-6180","1056","-5452","-4320","5280","-3376","-5372","3088","-4588","384","-4620","716","5880","976","-8220","1304","7464","4960","-2624","2400","-5100","-896","-1512","3168","2640","-704","3158","6120","-872","-3240","5500","3744","2640","-3264","-3576","8100","4356","4672","6020","1248","-1896","1728","1342","-4944","-15484","-120","2408","11328","-9480","3168","644","4912","-15220","2816","-10020","688","-540","-1408","4632","6380","1296","-952","10560","-3592","2276","1296","-8400","-744","10276","9120","7272","9272","13424","320","-1644","1376","7244","-7680","-7956","-2376","2440","-896","2428","-696","3100","0","17720","-16240","-9768","-384","-3318","2184","376","-1440","-8040","6720","368","4240","-7886","432","2912","2640","13518","488","-168","-2432","7626","13152","-7360","-7008","-14420","4680","-7332","1728","1980","1360","9556","-4752","11232","-80","-8616","-512","5730","-16656","7280","-1520","2068","-792","-3204","2112","6712","3668","-27436","-1200","16160","512","1080","3328","14712","616","-19008","672","-11494","9000","-684","4032","6076","10548","-13340","-5200","5970","3824","-20184","-2112","3508","-1296","-9240","3440","2272","-11952","-8904","2080","38928","2288","2440","-1632","-8316","11536","-14672","896","22808","9960","4320","-4792","-8208","168","-5436","-1536","-12504","10560","4056","480","-9720","-17888","-5628","-2560","9006","-17248","-11556","-16408","-16212","20840","2640","-1728","1360","-6396","-15888","7408","5788","-3480","-26032","-2880","9336","-12808","2804","-1320","20330","-14544","8792","-2784","-6132","10312","11232","-7440","-6316","8616","-6712","-896","5808","508","-620","-8416","9076","7336","1652","-976","5392","-20208","13940","-10704","-10440","-7128","5136","-384","2740","-12384","25468","-17160","-1544","6944","3860","5440","2832","1284","-18800","-6000","-1352","-6192","20040","1024","3024","584","14876","-5152","6048","19800","14472","-528","10352","6840","17684","9520","-21680","-12360","-41688","2112","-12632","-10904","2244","-8640","-31218","10560","-6960","-6752","-14760","-10744","9216","6176","18480","-9176","-4128","768","13538","-9240","17780","1432","1342","11760","-9720","1952","-30490","-16440","9192","2608","7144","14928","-12936","9920","-6696","-5248","-13660","4800","48002","-10200","-7000","-1792","6630","-3024","18624","6336","-7252","5280","-19768","-1408","-22772","6316","21312","12240","-41520","-1744","2328","-6480","2838","11000","32496","7488","-1296","5280","-21932","-6528","-8340","-7152","55740","16200","9688","8712","16608","9344","47498","12040","14804","2496","27032","-3792","15960","3456","3600","2684","10824","-9888","4564","-30968","9492","-240","-13324","4816","13840","22656","-2456","-18960","-4200","6336","68926","1288","7128","9824","-20904","-30440","224","5632","-2232","-20040","-8196","1376","17688","-1080","-320","-2816","8916","9264","-12256","12760","9128","2592","-41712","-1904","3870","21120","26760","-7184","-48092","4552","-60596","2592","15054","-16800","13468","-1488","-35924","20552","-25608","18240","33480","14544","14580","18544","29204","26848","732","640","-48360","-3288","-41696","2752","-11688","14488","11680","-15360","-31556","-15912","388","-4752","33934","4880","-15036","-1792","924","4856","-13864","-1392","7530","6200","-21608","0","-52152","35440","12880","-32480","924","-19536","-22032","-768","-11184","-6636","540","4368","-19052","752","-34000","-2880","6324","-16080","-1980","13440","-21456","736","6180","8480","26480","-15772","38660","864","-42480","5824","6328","5280","6266","27036","-36120","976","-34930","-336","-15696","-4864","-1146","15252","2724","26304","21384","-14720","-23704","-14016","-51966","-28840","-18552","9360","-1380","-14664","24440","3456","-24680","3960","38028","2720","-24698","19112","-9132","-9504","-50700","22464","24260","-160","48864","-17232","15840","-1024","-27000","11460","-51320","-33312","-22692","14560","-121296","-3040","6360","4136","8748","-1584","4476","-6408","5760","4224","-68128","13424","43760","7336","22488","-54872","84440","-2400","4026","32320","-7960","1024","-9822","2160","40128","6656","-14280","29424","-2052","1232","-52370","-38016","20584","1344","-1418","-22988","27340","18000","-31408","-1368","14356","8064","-6048","12152","5940","21096","38096","-26680","-3520","-10400","-10032","11940","27164","7648","64498","-40368","16656","-4224","58368","7016","-74180","-2592","53328","-18480","21528","6880","-27178","4544","26560","-23904","44704","-17808","45320","4160","48144","77856","32748","4576","-63342","4880","28620","-3264","38402","-16632","33580","23072","36900","-29344","26984","1792","-37500","45616","6932","19920","25314","8640","12672","-9584","10708","-16416","125580","336","-3008","-10872","-16520","-3072","-46430","-25008","-7972","21120","2892","8112","-5408","960","9420","-19440","22596","-35776","11664","-11256","-12840","-5120","-26796","18012","29160","-34496","22992","-23112","21560","-32816","8712","-32424","8248","41680","4392","5280","-21268","-3456","-21024","2720","1708","-12792","-76280","-31776","-16784","14816","24476","11576","15048","-6960","-88368","-52064","15068","-5760","-8134","18672","14256","-25616","16572","5608","-19692","-2640","36022","40660","-53944","-29088","-3428","17584","-6432","-5568","-45640","-12264","-65476","20624","9834","22464","53352","-14880","-32308","-12632","22436","17232","-6480","-13424","24400","-1792","75706","11616","-10776","1016","77640","-1240","-38052","-16832","27216","18152","48040","14672","-25070","3304","-45936","-1952","-25116","10784","22680","-40416","13658","27880","40560","-21408","34618","-20880","-22320","-14256","12292","10272","68200","-768","-5012","5480","-33416","-24768","7288","50936","9456","-34320"]},{"label":"122.4.a.b","letter":"b","dim":3,"charpoly":["-1241","-205","5","1"],"traces":["3","-6","-2","12","-1","4","-31","-24","27","2","-15","-8","-21","62","-106","48","-30","-54","-272","-4","-220","30","-139","16","-268","42","-440","-124","-56","212","-50","-96","-184","60","251","108","-82","544","178","8","771","440","-370","-60","467","278","-312","-32","-142","536","356","-84","534","880","199","248","272","112","725","-424","183","100","653","192","-157","368","-1411","-120","1588","-502","1166","-216","-773","164","-84","-1088","853","-356","-1091","-16","303","-1542","-1344","-880","-326","740","-1496","120","1452","-934","-295","-556","276","624","0","64","-1910","284","-831","-1072","1450","-712","44","168","404","-1068","-1530","-1760","-423","-398","-1392","-496","1711","-544","-1449","-224","-69","-1450","-1016","848","-702","-366","-570","-200","477","-1306","-1142","-384","4680","314","-200","-736","3174","2822","-592","240","5535","-3176","-331","1004","692","-2332","-1755","432","1552","1546","4084","-328","101","168","-205","2176","1638","-1706","-226","712","1098","2182","8616","32","-2955","-606","-330","3084","1420","2688","-3988","1760","-5340","652","-6260","-1480","-3618","2992","3220","-240","1816","-2904","-906","1868","2284","590","-122","1112","1474","-552","-6708","-1248","3164","0","1803","-128","236","3820","458","-568","-5565","1662","-2918","2144","6772","-2900","5458","1424","-201","-88","-1819","-336","7442","-808","-6826","2136","-4460","3060","-4310","3520","-1072","846","-2126","796","4134","2784","-1479","992","-388","-3422","-8841","1088","4151","2898","5866","448","-6628","138","-380","2900","-588","2032","1246","-1696","-3349","1404","4378","732","-3942","1140","-1364","400","3008","-954","-12742","2612","-13217","2284","-1184","768","-3342","-9360","4348","-628","-2180","400","-3760","1472","-9150","-6348","-11932","-5644","8222","1184","494","-480","-1240","-11070","256","6352","-1792","662","4714","-2008","-2508","-1384","986","4664","13332","3510","-9639","-864","249","-3104","-10140","-3092","-9474","-8168","-2541","656","3980","-202","9377","-336","-6416","410","10820","-4352","-61","-3276","-885","3412","6384","452","-485","-1424","18226","-2196","2123","-4364","-1862","-17232","18686","-64","-19148","5910","-10624","1212","2324","660","21570","-6168","5776","-2840","18875","-5376","4298","7976","-5361","-3520","17434","10680","7566","-1304","-11644","12520","1585","2960","3984","7236","2768","-5984","8186","-6440","2512","480","573","-3632","3294","5808","-7928","1812","21046","-3736","17791","-4568","15944","-1180","2899","244","11150","-2224","17979","-2948","-24294","1104","-2500","13416","20958","2496","-10484","-6328","4826","0","-14748","-3606","14203","256","-6719","-472","-21694","-7640","12646","-916","30520","1136","-31624","11130","1679","-3324","10898","5836","28752","-4288","-5764","-13544","6970","5800","7199","-10916","5644","-2848","10222","402","-15966","176","-10053","3638","-1664","672","-24432","-14884","-2006","1616","-20034","13652","-26832","-4272","5260","8920","-1891","-6120","-6196","8620","-3674","-7040","-7204","2144","5188","-1692","-10546","4252","9132","-1592","-9994","-8268","-29720","-5568","10480","2958","23942","-1984","-8193","776","-23535","6844","8072","17682","1535","-2176","-38138","-8302","-88","-5796","-13682","-11732","-4956","-896","-3640","13256","-1785","-276","1731","760","-12984","-5800","-8816","1176","20668","-4064","-44034","-2492","-23098","3392","-3070","6698","-10722","-2808","12050","-8756","1540","-1464","-36556","7884","-12492","-2280","-38344","2728","1819","-800","-9324","-6016","20637","1908","-26404","25484","-4598","-5224","-12270","26434","5760","-4568","-1302","2368","18727","-1536","47336","6684","-6428","18720","40764","-8696","-14164","1256","-494","4360","18613","-800","18196","7520","26252","-2944","34654","18300","-19495","12696","5307","23864","20678","11288","-38172","-16444","-23204","-2368","-18272","-988","13752","960","-21147","2480","1681","22140","1647","-512","37848","-12704","14549","3584","-692","-1324","31656","-9428","10826","4016","-24020","5016","-28058","2768","-9277","-1972","16889","-9328","28499","-26664","-654","-7020","29388","19278","14840","1728","-364","-498","-35680","6208","9880","20280","-2850","6184","-7249","18948","44970","16336","-20248","5082","18042","-1312","1536","-7960","8944","404","46996","-18754","-22467","672","-18009","12832","-40567","-820","-15242","-21640","5982","8704","31576","122","-18936","6552","-4482","1770","-38226","-6824","-4802","-12768","-9936","-904","18532","970","7036","2848","12065","-36452","37108","4392","-9416","-4246","-29601","8728","2596","3724","15890","34464","16214","-37372","60434","128","-25826","38296","10194","-11820","27004","21248","16147","-2424","21085","-4648","-13744","-1320","-6578","-43140","31824","12336","-23849","-11552","-10146","5680","22352","-37750","10220","10752","-31926","-8596","-79950","-15952","-29808","10722","-915","7040","-28606","-34868","35784","-21360","21360","-15132","41702","2608","28776","23288","-25150","-25040","10431","-3170","-74886","-5920","1254","-7968","20028","-14472","9061","-5536","24763","11968","35274","-16372","476","12880","-17998","-5024","11884","-960","34564","-1146","-39684","7264","47436","-6588","-5795","-11616","50488","15856","7951","-3624","-36020","-42092","18810","7472","-15398","-35582","-4794","9136","260","-31888","23184","2360","-13857","-5798","23344","-488","-47885","-22300","9744","4448","-167","-35958","-53881","5896","-30208","48588","34015","-2208","-24043","5000","-26064","-26832","54026","-41916","21746","-4992","18472","20968","-7867","12656","9113","-9652","-49186","0","14500","29496","-38265","7212","-11162","-28406","-17299","-512","55358","13438","4932","944","-21878","43388","10116","15280","14284","-25292","-113112","1832","-60560","-61040","14632","-2272","11886","63248","-30282","-22260","-42532","-3358","-32119","6648","-1281","-21796","21000","-11672","36655","-57504","-82812","8576","78180","11528","61247","27088","13677","-13940","28808","-11600","-52213","-14398","-54193","21832","58480","-11288","36886","5696","31636","-20444","-12571","-804","80324","31932","-34074","-352","14388","20106","-56080","-7276","-60027","3328","71268","-1344","50332","48864","30392","29768","-3480","4012","25022","-3232","35105","40068","-70452","-27304","-420","53664","-29888","8544","-2664","-10520","-26656","-17840","-18197","3782","-48420","12240","52499","12392","-14470","-17240","-85140","7348","-80372","14080","17782","14408","53918","-4288","11231","-10376","16997","3384","56458","21092","-52791","-8504","-56872","-18264","83040","3184","-7535","19988","22249","16536","-1896","59440","-19590","11136","40736","-20960","50805","-5916","116156","-47884","39078","3968","8920","16386","-65024","-1552","-12288","47070","9604","-13688","-16036","-16144","-18574","-35364","-50906","-3070","-87810","4352","11208","76276","-6466","16604","72678","176","53412","11592","-46208","27364","19682","23464","9468","9912","-25384","1792","20635","7280","-20080","-26512","-35448","3570","30728","552","-77579","-3462","40868","-1520","21976","25968","40821","11600","-37684","17632","56423","-2352","-27329","-41336","10952","8128","47020","88068","-31191","4984","76916","46196","-34845","-6784","-42177","6140","119958","-13396","35444","21444","-64898","5616","-75668","-24100","-27954","17512","68011","-3080","-11220","2928","-7478","73112","-16992","-15768","-131175","24984","47370","4560","-12477","76688","79684","-5456","89468","-3638","-112300","1600","42440","18648","-44078","12032","-14478","-41274","4848","-3816"]},{"label":"122.4.a.c","letter":"c","dim":4,"charpoly":["5132477","-23565","-4540","11","1"],"traces":["4","-8","7","16","-6","-14","39","-32","27","12","40","28","96","-78","-76","64","58","-54","235","-24","340","-80","287","-56","558","-192","292","156","-61","152","163","-128","320","-116","-306","108","495","-470","286","48","-207","-680","-192","160","-1286","-574","-500","112","-291","-1116","-740","384","-1243","-584","-490","-312","-540","122","158","-304","-244","-326","1326","256","-1426","-640","682","232","341","612","-963","-216","7","-990","2357","940","352","-572","1054","-96","-916","414","-89","1360","772","384","212","-320","-862","2572","1498","1148","-985","1000","-244","-224","765","582","1450","2232","-249","1480","186","-768","-2476","2486","1813","1168","-864","980","1989","624","-557","1080","2002","-244","2284","-316","-1694","608","22","488","537","652","-4254","-2652","2130","-512","-6112","2852","-3400","1280","-307","-1364","-5524","-464","-415","-682","980","-1224","-3162","1926","314","432","72","-14","4966","1980","-4088","-4714","2793","-1880","-2992","-704","7704","1144","4079","-2108","-5929","192","1050","1832","7405","-828","-14088","178","2022","-2720","-4550","-1544","-1376","-768","-3305","-424","7423","640","5828","1724","-5573","-5144","2831","-2996","-427","-2296","-2528","1970","1232","-2000","433","488","5005","448","-1490","-1530","-3152","-1164","6098","-2900","-8170","-4464","2978","498","4357","-2960","-2758","-372","-979","1536","4258","4952","8582","-4972","-9336","-3626","8268","-2336","528","1728","-8820","-1960","-620","-3978","1486","-1248","12075","1114","7212","-2160","-9844","-4004","7330","488","308","-4568","3632","632","356","3388","1390","-1216","3465","-44","-8024","-976","-2496","-1074","4140","-1304","-12120","8508","10254","5304","9934","-4260","3208","1024","29","12224","4946","-5704","564","6800","-6732","-2560","3824","614","11694","2728","11044","11048","-968","928","11094","830","19338","1364","11411","-1960","-10659","2448","22260","6324","4443","-3852","-3748","-628","-3672","-864","-11456","-144","-8513","28","284","-9932","-18674","-3960","13038","8176","1604","9428","-17640","-5586","297","3760","366","5984","-6498","1408","-14096","-15408","-4367","-2288","17080","-8158","-19726","4216","7560","11858","-29834","-384","-2660","-2100","11898","-3664","16002","-14810","-16222","1656","-13302","28176","712","-356","8495","-4044","-20882","5440","-7140","9100","520","3088","-20484","2752","-3204","1536","-16600","6610","11356","848","-4884","-14846","10058","-1280","3793","-11656","-26772","-3448","-7710","11146","-9179","10288","-2905","-5662","11511","5992","24002","854","-23928","4592","4369","5056","-16874","-3940","-9845","-2464","-46792","4000","7184","-866","-16183","-976","9002","-10010","-2937","-896","-36894","2980","-26604","3060","-8623","6304","10832","2328","-5492","-12196","30686","5800","-5335","16340","6549","8928","-850","-5956","-1078","-996","918","-8714","24984","5920","-7620","5516","-7815","744","12110","1958","-16936","-3072","4478","-8516","-3190","-9904","10557","-17164","-13118","9944","2922","18672","-2379","7252","21828","-16536","14626","4672","6622","-1056","66284","-3456","24112","17640","-16692","3920","17394","1240","-8743","7956","-23896","-2972","12230","2496","2453","-24150","27862","-2228","47715","-14424","-14562","4320","-6456","19688","12494","8008","19606","-14660","-15980","-976","67608","-616","10734","9136","24496","-7264","21188","-1264","2284","-712","31957","-6776","-21611","-2780","-15408","2432","9414","-6930","19705","88","29136","16048","16368","1952","6801","4992","24421","2148","-20054","-8280","-66602","2608","-18801","24240","-4012","-17016","12132","-20508","17410","-10608","47104","-19868","-6683","8520","-33835","-6416","-24099","-2048","33235","-58","-8324","-24448","12228","-9892","-4728","11408","16556","-1128","4736","-13600","70924","13464","4068","5120","-7431","-7648","36158","-1228","-8804","-23388","-65660","-5456","-38989","-22088","2030","-22096","37937","1936","-33460","-1856","-71126","-22188","19552","-1660","-1647","-38676","-31681","-2728","9038","-22822","-64032","3920","47200","21318","-21020","-4896","-8260","-44520","26840","-12648","-72306","-8886","-15668","7704","-2070","7496","11913","1256","-25197","7344","48751","1728","30258","22912","-29840","288","-14331","17026","-44920","-56","-37458","-568","24066","19864","1644","37348","57640","7920","-8538","-26076","-2036","-16352","14896","-3208","-45862","-18856","-47197","35280","29816","11172","-20620","-594","-11414","-7520","-703","-732","-22588","-11968","-2632","12996","-74368","-2816","-6636","28192","-16699","30816","27703","8734","13780","4576","-4552","-34160","16998","16316","8944","39452","-4061","-8432","36748","-15120","53560","-23716","68","59668","-1236","768","-31202","5320","-9738","4200","37424","-23796","53886","7328","40406","-32004","-11877","29620","-9421","32444","7604","-3312","-50462","26604","-657","-56352","-10627","-1424","-20324","712","-30096","-16990","-59844","8088","-26484","41764","-2440","-10880","15870","14280","74076","-18200","-44780","-1040","-6938","-6176","3438","40968","32639","-5504","-8442","6408","-60762","-3072","-26286","33200","48617","-13220","58884","-22712","35262","-1696","5412","9768","21770","29692","-13751","-20116","35762","2560","-13176","-7586","-11250","23312","6480","53544","-29618","6896","-2127","15420","-46674","-22292","13538","18358","75248","-20576","-18402","5810","-43956","11324","-73615","-23022","-36556","-11984","3711","-48004","48736","-1708","-53718","47856","-38948","-9184","-67910","-8738","62974","-10112","-8430","33748","64405","7880","5530","19690","-19424","4928","6291","93584","34190","-8000","-22846","-14368","-13866","1732","86306","32366","9782","1952","82222","-18004","-36250","20020","-548","5874","21162","1792","14354","73788","77800","-5960","32872","53208","-55915","-6120","59579","17246","5326","-12608","-45594","-21664","-75257","-4656","-80044","10984","-9564","24392","-126324","-61372","16909","-11600","-5856","10670","120544","-32680","38150","-13098","21884","-17856","58978","1700","-4920","11912","-44034","2156","-16536","1992","-56567","-1836","49060","17428","64402","-49968","-17164","-11840","46468","15240","47844","-11032","-27479","15630","-74409","-1488","132000","-24220","2295","-3916","-40924","33872","3380","6144","-45310","-8956","77636","17032","-59787","6380","-43226","19808","108767","-21114","12840","34328","-45596","26236","15889","-19888","14179","-5844","63611","-37344","-17364","4758","-72576","-14504","-55167","-43656","-113647","33072","-1937","-29252","-20568","-9344","73460","-13244","-43403","2112","-38362","-132568","64782","6912","-54675","-48224","-123886","-35280","64527","33384","110974","-7840","-108791","-34788","134230","-2480","-151904","17486","-13716","-15912","31040","47792","63326","5944","6870","-24460","17112","-4992","32340","-4906","114612","48300","-6512","-55724","-105164","4456","-48000","-95430","39292","28848","-46213","29124","-90542","-8640","-92970","12912","4636","-39376","-8444","-24988","92482","-16016","-47426","-39212","16884","29320","125465","31960","-33964","1952","-91734","-135216","-64849","1232","-72352","-21468","94900","-18272","33797","-48992","123282","14528","31328","-42376","28757","2528","-130536","-4568","-40012","1424","-36850","-63914","50312","13552","52316","43222","78630","5560","-69810","30816","-29272","-4864","22355","-18828","57680","13860","-106320","-39410","-5146","-176","-43258","-58272","32895","-32096","-2838","-32736","113146","-3904","-45507","-13602","85720","-9984","22460","-48842","-158351","-4296","-123190","40108","-77400","16560","37460","133204","-48364","-5216","-38180","37602","108660","-48480","27039","8024","75909","34032"]},{"label":"122.4.a.d","letter":"d","dim":6,"charpoly":["25666806","-10570229","-1242320","190717","-4067","-44","1"],"traces":["6","12","5","24","13","10","44","48","113","26","43","20","103","88","122","96","106","226","-57","52","-288","86","-164","40","257","206","-28","176","231","244","-101","192","-1004","212","-873","452","37","-114","-280","104","-148","-576","-510","172","-1295","-328","144","80","376","514","-1152","412","-321","-56","-777","352","-308","462","-971","488","366","-202","389","384","-169","-2008","-371","424","-373","-1746","-1735","904","1806","74","-2595","-228","1135","-560","185","208","1346","-296","1019","-1152","1030","-1020","-1868","344","1880","-2590","461","-656","1561","288","532","160","589","752","713","1028","2073","-2304","2070","824","6444","-642","-157","-112","6021","-1554","-1033","704","1370","-616","4295","924","4599","-1942","1958","976","4965","732","2035","-404","873","778","1356","768","-2120","-338","-1076","-4016","3969","-742","-808","848","4204","-746","683","-3492","2978","-3470","-1039","1808","836","3612","-12242","148","-859","-5190","1592","-456","-468","2270","-10742","-1120","-679","370","-5851","416","-6487","2692","947","-592","-12","2038","-9686","-2304","2821","2060","-11384","-2040","-5251","-3736","1701","688","-2752","3760","-13335","-5180","3143","922","305","-1312","-15906","3122","372","576","-11481","1064","-2260","320","8712","1178","-14426","1504","-2923","1426","1800","2056","4406","4146","-2373","-4608","10923","4140","-12602","1648","-5580","12888","220","-1284","9052","-314","-9258","-224","7308","12042","3682","-3108","794","-2066","2965","1408","7042","2740","-3267","-1232","7399","8590","-316","1848","6538","9198","-2076","-3884","6016","3916","-6020","1952","11240","9930","20114","1464","-21480","4070","6780","-808","-2192","1746","-184","1556","13411","2712","14384","1536","-6283","-4240","13646","-676","16670","-2152","2404","-8032","3542","7938","7502","-1484","-156","-1616","10622","1696","3218","8408","-606","-1492","7575","1366","16717","-6984","-11354","5956","7165","-6940","-6556","-2078","-16421","3616","-16282","1672","6187","7224","-9468","-24484","13327","296","-28190","-1718","-15225","-10380","9880","3184","23807","-912","793","-936","-20613","4540","-17028","-21484","4140","-2240","-1008","-1358","-37593","740","-17112","-11702","4856","832","5792","-12974","2594","5384","-19832","1894","17148","-1184","-12094","-24","-15215","4076","28905","-19372","12339","-4608","-5704","5642","-5990","4120","-1720","-22768","35947","-4080","-13688","-10502","-9488","-7472","696","3402","42074","1376","2302","-5504","1378","7520","-16442","-26670","3233","-10360","-4071","6286","13035","1844","-4193","610","-3702","-2624","-3508","-31812","-11276","6244","15419","744","55914","1152","-7564","-22962","-11197","2128","26702","-4520","12062","640","-32815","17424","-12794","2356","12267","-28852","-1944","3008","48724","-5846","-361","2852","-7929","3600","19543","4112","22368","8812","-1052","8292","-41171","-4746","12968","-9216","-47084","21846","-24625","8280","10715","-25204","-23744","3296","-2502","-11160","-47848","25776","-11065","440","50362","-2568","38668","18104","2684","-628","-59256","-18516","24452","-448","-35356","14616","39244","24084","-9470","7364","-41392","-6216","10421","1588","1181","-4132","10740","5930","13360","2816","24144","14084","-40363","5480","12937","-6534","9059","-2464","-15132","14798","-32130","17180","16082","-632","29424","3696","13256","13076","27631","18396","-63775","-4152","45316","-7768","38528","12032","-35035","7832","-8393","-12040","10754","3904","22144","22480","52507","19860","34182","40228","26800","2928","-35459","-42960","7205","8140","22610","13560","1155","-1616","3719","-4384","-50181","3492","-16456","-368","51928","3112","2070","26822","13313","5424","-9301","28768","30192","3072","-10373","-12566","33408","-8480","-39016","27292","1020","-1352","15224","33340","187","-4304","-85408","4808","-25032","-16064","-11712","7084","-92639","15876","-7731","15004","45310","-2968","-24025","-312","17050","-3232","-55303","21244","74780","3392","-21383","6436","50399","16816","6893","-1212","-49547","-2984","-47595","15150","6564","2732","27558","33434","-95554","-13968","-41176","-22708","-29754","11912","2455","14330","29555","-13880","-53583","-13112","19011","-4156","-70963","-32842","4585","7232","-18004","-32564","-27176","3344","-20065","12374","42366","14448","-7981","-18936","-55492","-48968","-9772","26654","10242","592","67760","-56380","-54012","-3436","-4392","-30450","-1519","-20760","-5726","19760","45639","6368","7988","47614","40732","-1824","-66375","1586","-44860","-1872","12668","-41226","2730","9080","26152","-34056","-16895","-42968","-55543","8280","-16308","-4480","58032","-2016","49426","-2716","-22460","-75186","-3578","1480","30660","-34224","-55122","-23404","14076","9712","-100702","1664","41254","11584","31628","-25948","119460","5188","-20865","10768","-66467","-39664","-59981","3788","-41799","34296","8764","-2368","73765","-24188","-7267","-48","13733","-30430","-51208","8152","66978","57810","3306","-38744","122252","24678","2623","-9216","13106","-11408","-114876","11284","37034","-11980","29124","8240","-133942","-3440","-13015","-45536","-82357","71894","136996","-8160","60264","-27376","681","-21004","101263","-18976","-98745","-14944","19294","1392","-58558","6804","65319","84148","-5766","2752","113796","4604","4234","-11008","-16366","2756","66553","15040","-55643","-32884","99727","-53340","52966","6466","-41758","-20720","30180","-8142","62126","12572","132033","26070","69280","3688","43313","-8386","-2792","1220","37517","-7404","168240","-5248","49541","-7016","14555","-63624","2058","-22552","36768","12488","50809","30838","140732","1488","-11905","111828","9560","2304","133274","-15128","1025","-45924","34519","-22394","106688","4256","-57328","53404","66647","-9040","-39134","24124","-2043","1280","-29950","-65630","-111932","34848","76648","-25588","-58521","4712","-90097","24534","-22042","-57704","-43142","-3888","-36851","6016","-21942","97448","40378","-11692","17272","-722","73082","5704","6283","-15858","-132584","7200","-38535","39086","19768","8224","69676","44736","-151491","17624","37501","-2104","-87684","16584","117440","-82342","-79151","-9492","-42598","25936","54570","-18432","-55524","-94168","-90853","43692","-54963","-49250","66791","16560","-145600","21430","-6373","-50408","24949","-47488","-180760","6592","72680","-5004","-110420","-22320","58063","-95696","-103060","51552","-25135","-22130","100772","880","85918","100724","-8277","-5136","-56429","77336","-83893","36208","-45265","5368","42616","-1256","9780","-118512","3291","-37032","21113","48904","42424","-896","-68078","-70712","-22445","29232","96463","78488","39145","48168","-186155","-18940","-134323","14728","19419","-82784","-35150","-12432","49306","20842","-40331","3176","8360","2362","426","-8264","57756","21480","-191803","11860","-144682","26720","-2242","5632","-161328","48288","-30580","28168","-8468","-80726","-99396","10960","23976","25874","-129914","-13068","43897","18118","81604","-4928","123298","-30264","7442","29596","-75866","-64260","-69906","34360","42942","32164","-69190","-1264","-83095","58848","-85912","7392","-59155","26512","76731","26152","-16488","55262","-70620","36792","7374","-127550","-10490","-8304","-39354","90632","12562","-15536","176292","77056","-189347","24064","81279","-70070","-44808","15664","77222","-16786","89109","-24080","-169914","21508","105485","7808","-32671","44288","-125642","44960","105888","105014","151220","39720","53130","68364","-27899","80456","88567","53600","-136030","5856","106637","-70918","-24016","-85920","191225","14410","-30423","16280","59687","45220","-196376","27120","71548","2310","98876","-3232","-35508","7438","-70","-8768","95769","-100362","80807","6984"]}],"seconds":0.115,"computed":"atlas","estimate":{"seconds":0.319,"low":0.195,"high":0.552,"bytes":1979916}}