{"label":"217.4.a","level":217,"weight":4,"dims":{"new":46,"cusp":62,"eisenstein":4,"modsym":128},"old":[[7,1,2],[31,7,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 7, 31, 217]: [1, 3, 9, 66] (certified at ell = 2147482951)","T = [(2, 1), (3, 1)]; h of degree 46 = 1 x 46 (phi(ord eps) x dim S_k^new); 7 primes, 0 rejected"],"newforms":[{"label":"217.4.a.a","letter":"a","dim":1,"charpoly":["9","1"],"traces":["1","-1","-8","-7","4","8","7","15","37","-4","66","56","-78","-7","-32","41","78","-37","-106","-28","-56","-66","-28","-120","-109","78","-80","-49","88","32","-31","-161","-528","-78","28","-259","152","106","624","60","-18","56","-506","-462","148","28","-484","-328","49","109","-624","546","364","80","264","105","848","-88","770","224","-222","31","259","-167","-312","528","-220","-546","224","-28","-512","555","-646","-152","872","742","462","-624","-380","164","-359","18","-832","392","312","506","-704","990","-1402","-148","-546","196","248","484","-424","1288","414","-49","2442","763","940","624","-784","-1170","-224","-364","416","560","-862","-264","-1216","287","1058","-848","-112","-616","-2886","-770","546","-480","3025","222","144","217","-936","-259","-1280","1455","4048","312","-290","3696","-742","220","-320","1170","-1050","-224","-2772","-196","3872","512","-5148","1517","352","646","-392","-1064","2946","-872","1024","-1590","2886","-462","-124","-4368","-1276","380","-2912","-644","-196","359","-1980","126","-2112","832","-2544","-840","3887","-312","-3922","3542","-228","704","-763","2706","-6160","1402","258","-1036","-2170","546","1776","-420","608","-248","5148","3388","-560","424","-4808","1336","1726","-414","2496","-343","-2372","-2442","-5000","-1635","1760","-940","616","4368","-72","784","-1036","-3198","-6996","224","2088","-2548","4096","-416","-2024","-1200","-217","862","5168","-1848","-6084","1216","-464","-1127","-4033","-1058","4674","-5936","6026","112","-3696","1320","-978","2886","-1936","-5390","3040","-546","-2776","-1312","5402","-3025","5032","1554","196","-144","8268","-465","6656","936","-1744","-1813","-1848","1280","-2496","-119","-1670","-4048","1064","2184","3256","290","-1868","-7920","1456","742","11216","1540","2022","320","3640","3198","4368","1050","-7194","-1568","1324","2772","-1147","420","7610","-3872","-574","3584","3392","5148","-126","-5957","1171","-352","-3312","4522","2608","392","3080","2280","-5280","-2946","2184","-6104","-3542","-1024","-7520","-4346","-888","-2886","-2966","-3234","6272","124","8972","9360","-9942","1276","1036","2660","1338","2912","5808","-668","-3328","196","-8268","2513","8502","1980","6896","-270","-3388","2112","5890","5824","5624","2544","-880","-2296","4202","-3887","-8464","-2184","-2046","3922","343","-7590","896","228","-1482","4928","-384","763","6240","-10626","-9630","6160","-2048","9814","-4368","-258","10224","2220","4377","2170","-24200","3822","-2584","-1776","-2432","-1148","-666","-608","2548","-1736","-3482","-5148","7488","-7260","-6864","560","-11716","2968","10240","4808","4008","-11640","1848","-1726","-18722","-2898","11800","-2496","-2184","735","2320","2372","-1520","-17094","-8296","5000","5936","-4469","-5546","-1760","2418","-6580","-1436","-616","10032","-9360","8074","72","8400","5488","5390","1036","-3328","12558","22176","6996","3990","1568","-11126","-2088","-17908","5460","-8502","-4096","-1554","-2912","41184","2024","3240","-3280","7298","217","-2816","6034","2968","-5168","-13480","3960","1813","6084","20","8512","-5608","464","-23568","-1169","3222","4033","-1188","-7406","-8192","-4674","-2184","12720","-14474","-6026","-6240","784","-11330","3696","-7072","3608","992","978","570","20202","-1540","1936","10208","11550","-33396","-3040","11554","-3822","13468","2776","248","5152","-11856","-5402","1568","-21175","1656","-5032","-11432","-3330","15840","-196","-8450","-1008","6864","-8268","9768","-1271","-3584","-6656","22102","6552","20352","1744","2924","3885","3760","1848","-31096","8960","5614","2496","-4522","-11521","8480","1670","-3136","-28336","-31944","-1064","1824","-4680","3742","-3256","8768","2030","6104","1868","-2418","-21648","-11383","-1456","28490","5194","1404","-11216","1664","-3300","-2064","-2022","3234","2240","-15986","-3640","17360","-12558","-3448","-4368","-9260","7350","-8214","7194","-9328","3360","-2660","-1324","-4864","19404","-15188","1147","39468","1148","-41184","-7610","4842","-27104","4232","574","-2513","-7680","-9834","-3392","13238","36036","38464","126","3052","-6179","-15814","-1171","-13808","-2464","-5824","3312","24024","-9690","-11544","-2608","-15084","2744","3286","-3080","18976","6232","11682","5280","2184","-20622","40000","-2184","10416","13080","-1594","3542","-8140","-7168","12100","7520","-5316","17066","-4928","888","37752","-20202","-25324","2966","576","6930","12678","-6272","-21028","868","2240","-8972","-9814","25584","9881","9942","55968","8932","11856","-1036","-12812","-5700","-16704","-1338","-5120","20384","-3822","-5808","-18944","5820","8006","3328","5852","1372","16192","8268","7496","-5385","50820","-8502","1736","13860","13974","-6896","-1160","-738","-23902","3388","27600","14784","22632","-5890","48672","-12480","-2968","-5624","-2464","17808","3712","880","-14652","9016","-24010","-4202","8720","-27209","-4086","8464","2898","4680","-37392","2046","1024","27454","-4200","-343","-48208","-20746","-28392","-896","3078","1596","17094","1482","-11088","-10560","-1404","384","7824","5341","29522","-6240","-16112","-11022","15488","9630","6580","43120","30132","2048","-14060","-21030","868","4368","-20592","-1806","22208","-10224","-168","6068","-5488","-4377","-43216","15190","-9592","24200","12424","-8190","-30563","2584","-39468","-12432","9556","2432","-1568","4508","-14520","666","-8494","-4256","-66144","-2548","-23184","3720","11784","3482","-30784","-36036","2912","-7488","-39976","-19844","13952","6864","4096","3920","13116","11716","14784","-6360","-2618","-10240","-6034","33656","11544","-4008","-60060","952","18678","-1848","13360","-12082","13850","18722","3379","6210","-8512","-11800","1908","-17472","-33792","2184","-7040","2009","-5104","-2320","39160","16604","14944","1520","7406","36630","17316","8296","-11648","35000","22250","-5936","-37752","17549","-51874","5546","-42636","-12320","-784","-2418","-16176","14100","15054","1436","22090","-4312","-29120","-10032","-7920","-25584","53636","-8074","-20202","504","-3516","-8400","260","-11760","57552","-5390","-2190","7252","-13766","3328","-10592","13026","3822","-22176","-10176","48972","2480","-3990","6516","-3360","-16645","11126","-60880","-14616","15548","17908","21175","14924","4592","8502","-4256","-28672","16760","1554","-15688","6240","5166","-41184","-37108","14168","1008","-3240","34596","12880","-912","-7298","-9368","1519","-25080","2816","17160","-12930","15318","-2968","-6552","-36176","-30314","13480","-20864","10824","3122","-1813","30614","42588","-24640","-20","19588","-18240","-8960","5608","-23694","3248","51304","23568","1032","10185","-17472","-3222","-2728","28231","28392","1188","28336","15870","-8680","8192","25000","-32718","34780","2184","-24780","34768","-54912","14474","7104","-42182","-2030","6240","-42816","-1680","23728","11330","39936","25872","-16568","7072","-29008","-14168","-10558","-992","-5194","6846","-71776","-570","20592","-43290","4762","1540","79536","13552","-25410","-10208","504","31570","-2240","33396","37494","-21280","50388","-11554","-10704","8190","12342","-13468","-19232","19432","-46464","-248","-7350","5344","961","11856","15392","-37814","6904","-1568","-2264","45375","66144","-1656","-20890","-35224","-19404","11432","-68016","-9102","38586","-15840","-92532","-1372","-31894","8450","12072","2160","-9488","-6864","27104","-57876","14168","-9768","26136","4991","-47120","3584","-20000","-46592","43976","-22102","-12160","-14040"]},{"label":"217.4.a.b","letter":"b","dim":10,"charpoly":["-3951342","4013190","-197825","-719145","76718","52354","-2668","-1762","-42","17","1"],"traces":["10","-5","-12","37","-38","-48","70","-84","82","30","-174","-70","36","-35","-172","105","-488","158","112","-287","-84","-187","-550","-417","192","-403","-528","259","-366","-346","-310","-372","-46","-88","-266","509","-68","-1039","-786","-711","-620","-336","638","-966","-318","-1055","-1444","-171","490","494","1840","-1584","-1972","-2456","-118","-588","280","1514","-1212","1389","-582","155","574","2330","560","3653","-532","-3409","-912","210","628","2113","824","2319","-1666","4870","-1218","7354","1750","4873","1950","452","-3546","-490","1552","1368","1238","3016","-1816","4779","252","3055","372","5963","-1672","63","-694","-245","-4122","-3849","-460","7208","-3118","-2159","-1204","8983","-378","4345","1156","3209","1136","735","-1776","-5528","2972","1986","-1774","-1188","-3416","12270","-1894","5774","-2078","-1147","-3372","1106","-986","-9379","-1634","-1419","-4970","-1589","784","2507","-3908","4751","-1584","6167","-234","-2009","6110","-3295","1380","-4139","-7048","-104","-588","6721","-3504","12819","1938","-1591","-15842","-1309","1178","4033","4196","-3376","-2470","-4556","-3850","2940","-1160","4316","18248","1674","-4012","-2919","10236","-4693","4174","-4123","-6374","-9847","1344","-5521","-1512","424","-5192","-20422","-3154","-2821","-10836","-9857","-8558","1488","296","-15937","-3696","7667","-6142","-4460","-6994","-4039","-13268","1813","7638","-11387","5158","-3860","-1298","-4763","-2562","11891","-4550","-21472","-12704","-5672","-7594","-2422","-3806","-16246","4528","-4052","-18608","-4009","-2170","11213","-1446","10718","9880","-19897","-10192","-2604","28940","14806","1520","-7157","12060","5800","-322","26739","7060","14993","8948","-9600","-10970","-616","-4530","-8890","-8234","5666","-7548","14441","-1862","26271","-29254","2604","30970","7689","-15018","3563","30238","-2961","4758","9609","-6030","12657","-476","15743","8008","16101","-13212","18550","12378","-7273","-418","-31410","6652","3259","-12798","-28105","-5502","26171","-3258","8274","12206","-18929","-2542","-4977","17502","-9902","12530","-9144","29394","-3650","-4340","43396","32270","-15448","10622","-1875","-8010","-2352","15772","10807","15526","-22606","-2582","18417","4466","-19473","-16034","29848","17688","-23009","-16592","-6762","60118","-930","-26932","36495","7332","19870","-2226","2646","20094","16374","12294","7159","7884","-7385","-2456","3844","39974","8108","-9236","-21979","-10108","-23448","11308","-33667","25180","-12219","-3054","-1197","-1420","987","-1560","21738","5394","-3593","3430","9024","42984","-19582","6022","-49474","5562","3458","-16276","-14863","-25980","-1807","21098","-25880","12880","5502","-4166","-19994","4720","-20803","6820","-11088","-21414","5665","3568","17488","-17872","-24702","-13804","2170","28508","43153","-12024","39278","-29244","-17192","20372","-18531","-13412","-8403","-4026","83923","-826","-1787","28176","14964","21038","-95161","-3704","-4116","-2444","22622","-14078","-32570","34492","11345","1960","-52952","-6184","35301","-1116","13590","67990","10598","-35044","8352","10498","-17302","32234","-3052","-8484","-30426","-15114","-14462","-10260","11054","-8110","9723","-20570","-39493","-39198","21313","-31084","-21132","-4074","-11907","17912","18747","-19916","-15255","-26858","1085","37190","19118","-17848","-40769","9276","-15179","4018","7641","22254","1692","-21514","12851","24684","16310","11724","-35195","11200","-64799","34986","1548","3920","-71719","4656","-52143","82842","39020","16626","25571","-23266","19","5332","-80347","-1026","-142789","-3724","-40424","-52148","30951","23060","-10684","-30996","-23863","-39040","-51138","-56660","-30577","-10754","25193","-6384","-12434","5692","14737","-31968","-51310","-33296","1470","-9078","-47356","-41204","-15100","-23226","-3255","4396","8253","-28870","7144","30510","-15537","-33774","14791","4024","49172","-18826","-46041","4172","23337","5768","-59227","38012","3553","26374","-4435","38058","16233","-11108","-14405","19664","47194","-15100","17491","-11662","-9152","15128","59113","54368","-62475","-2678","34090","-9812","60011","-20072","33902","116482","-24126","-8526","44014","31460","18946","-40410","74286","-44906","51478","-47342","-21100","-22736","-82734","8742","80638","12250","66505","-53796","-51127","23234","-4898","20532","34111","-42516","6478","-2494","-44220","44040","74818","13650","-52893","24148","85327","51934","87204","-26906","3164","-51858","-122373","-7966","-33252","48798","11245","-24822","8318","7958","128582","123016","-32477","3580","-3430","-3472","58794","-69056","-65776","44630","121225","10864","3195","-3664","-9993","59414","-20865","-12032","9576","-20156","115904","-22774","32189","-24788","-9140","8666","-80931","-68946","-29754","-1674","53923","100142","21112","-38668","-45007","-14106","8897","105254","63586","-12712","22765","111794","-63793","-57020","15377","33604","33453","-88854","115114","43428","-29699","139620","-33759","1764","-78045","30620","-70016","-13120","-1769","-49418","21385","13346","44147","-137492","-85003","53360","132253","2604","-36277","41830","-32873","52370","57637","53152","41741","14330","-9401","-6634","-90033","412","126294","-11704","16554","-24032","114810","-52462","116621","-18930","441","-69444","-18975","-117616","51332","82864","14111","-4858","122046","73460","5797","15758","161233","-66230","-1715","-31058","-106524","8208","8793","4272","167034","-28854","81583","43068","-97523","37976","-103080","75588","-26943","-10298","7281","-4232","15603","16688","29581","-3220","-3728","-680","69053","24052","54969","17050","50456","-47980","28152","5638","-33914","-62470","13775","-21826","28509","70632","-86716","-23216","-33539","-36716","-15113","-56828","78229","-113118","-167769","-65330","166137","-8428","-168327","96528","20410","92274","-38400","-1690","62881","-35428","12927","-54274","30192","-90604","106382","-2646","-288288","-50304","-21435","-43172","-41126","6474","30415","-23962","118384","-16014","-51633","-3464","-30883","8092","-39887","-18460","-118905","-85534","-22678","-16774","22463","-193916","-73829","-51406","-90189","-5952","-60695","7952","-75282","81894","118168","-41896","145726","-34272","5145","12198","-292175","-146228","15307","38938","46868","-12432","11101","-76264","80859","7458","-114883","-114846","-38696","15174","194319","37350","-79758","-37726","85435","20804","12493","-49196","21300","-56848","9196","-39794","13902","-49410","15190","13854","53260","-69686","202495","-12418","61095","74492","31156","33542","-55957","-129140","-8316","-57496","-215430","-48346","-65249","-15840","258185","-23912","-67336","-148406","-133358","16368","-121013","32036","85890","15494","202284","-47114","-139425","920","13062","-13258","-113342","-16464","104143","-44238","233925","-10964","40418","-266898","-82326","-96500","-263437","30706","-37705","-14546","-12124","-70174","-79656","68052","100281","-238136","-8029","28728","107681","-87678","126954","-42126","-118183","-23604","-5589","58790","166982","42358","-21216","17750","7742","-17264","206059","132426","-180912","-71552","-171890","-6902","67620","-89324","20378","-84962","197536","-81964","-65653","-28360","-3713","11346","-83657","183254","-92633","-11438","120868","134216","-157251","127646","27700","-48294","-9933","180","-7015","-160","70841","118416","88485","-34790","109861","-40998","-94025","52672","60213","13156","-11123","31676","-37395","-217366","-43419","-68000","10726","5488","211693","-18952","82266","114204","-153073","-66210","17549","152464","59913","39974","-62607","56712","51667","-27356","-138792","-31086","-137132","-69388","-124223","27858","33257","-131064","47033","279482","226696","52222","-85384","-11088","-35737","9610","34503","177322","-106881","174798","43169","-124430","83117","44798","-137959","102876","-53437","-1638","276507","-91990","301236","19450","-54834","43118","-14063","-12986","38886","-140322","-60693","48562","-66770","42770","-92587","-94","-4725","94534","11532","84700","-23065","-51484","39925","-112572","-45062","51376","156339"]},{"label":"217.4.a.c","letter":"c","dim":10,"charpoly":["2491058","3501666","852035","-548381","-181704","35662","10078","-1250","-160","11","1"],"traces":["10","-5","-6","37","-14","-4","-70","-84","62","10","-80","-226","-98","35","-48","9","32","-282","-72","-115","42","-221","-618","363","-176","113","-300","-259","-200","-776","310","-972","38","-626","98","-147","-150","-1097","-594","147","-268","28","-1348","-924","-1190","1263","-1576","-821","490","-1238","-1588","-770","-666","1186","-746","588","-1880","148","-364","3173","2024","-155","-434","1562","64","1255","804","4565","484","-70","-1036","1457","2256","-1357","1352","3260","560","594","562","-2013","66","4414","420","1582","-2596","3900","-2818","1952","-676","7151","686","-5843","-186","1953","-2120","7779","-806","-245","-996","4931","-256","4584","-1522","4291","336","3545","-4046","1051","-404","5899","2396","-63","-2796","12854","-264","-1018","3616","1162","-224","-11186","4502","-3016","1218","1147","-372","1974","-2850","-3707","1062","123","-2190","3769","504","-6785","-2712","-9789","-4940","4487","-2652","805","-3526","8265","-5324","5681","4988","-2580","-294","2373","-2012","255","-7502","-7151","7054","1547","-434","2881","-5488","-7292","-1858","14770","4326","-5364","260","-11504","-6640","11436","-4828","-2541","-10016","8803","-9574","219","-650","8207","1232","-9557","-2424","-8182","-3122","-8044","4820","-791","-10668","15567","-8282","-124","-6880","-10611","2100","-4809","-838","-11814","-3394","-409","3056","1813","-10492","-5305","-5462","-13000","2754","-2479","1400","-24109","-598","5566","-12304","1812","6286","5432","-5178","-16130","-12908","10624","1160","2047","-2170","-20415","2782","-11318","-9892","13211","1700","6804","-2416","2218","-2448","-6415","10962","-11698","-266","-12297","-4360","-6827","9268","18772","29530","4382","-14686","35944","8726","3358","6734","14875","-686","-24577","7938","-2604","2942","-3769","2724","1029","2310","357","16070","713","-5718","-13583","1050","-5583","1742","-10863","-25120","20752","24310","7679","-470","18414","3742","23235","9574","29129","4158","-19585","1724","19748","12252","22017","1922","-1029","-7674","21278","-6706","-7860","43678","-1820","1876","-34668","26670","-3768","-10198","5777","14710","-196","-30204","-23387","25994","8562","13074","-3509","9436","-641","2502","28758","-4708","-977","7972","6468","23198","310","-12252","-15029","13976","-4484","8330","134","6986","-30522","-2698","-37501","23928","-8841","-3740","-11124","-5052","-9432","-12580","36409","11032","19796","-5102","-5417","11858","34973","-12654","5747","13800","9507","20452","-23070","-2480","-16805","-3430","11738","10744","-21488","-27992","18988","18850","8666","-11684","21713","-3000","22309","9354","-10238","11116","-30160","-25446","22334","34984","-7421","8234","5390","7554","-14975","-5668","-21334","31388","26252","4662","-7006","-1300","-29293","15272","-7124","868","-8302","18768","-71263","27440","-7231","-28946","26885","5222","-14423","-19238","-1830","-10316","16155","-16824","-4116","14200","3162","13118","5310","-4220","-30065","13160","33360","-14336","-19651","-3038","-2920","-5374","-1036","-24124","39796","60894","16990","-24958","-74588","2548","28154","18710","-17130","2024","1224","-14278","-22211","8410","-20145","-16730","46383","9120","5118","-14168","-45955","-1264","-26933","-18724","-23497","-16114","1085","22046","-30546","48272","-34953","-38932","10805","3038","2877","-69338","-58510","-13974","-10409","21188","-10934","1276","-20451","-7392","26545","24770","-25572","-448","37223","14260","-13921","-17462","-12034","16372","-8785","10674","18999","-1488","-36075","-60510","-10783","-5628","-43848","2804","-57953","-41520","-27208","10756","-31955","10806","-31302","11580","-53267","738","-69747","-3388","6222","4324","-26257","13584","11850","39008","490","-49164","34106","8680","34546","-22378","279","7252","-74871","51108","7006","-18674","11731","-43482","-10199","42704","-50748","22772","-29943","94","-97285","-15792","41661","-44728","93153","-33402","11015","30286","9499","40500","-3053","29188","-6062","-33122","41509","-9464","22010","992","-50283","9744","12311","10286","-22820","41344","79371","-21204","12918","-44854","39376","-3920","-26638","-16356","17656","-20626","-93850","58818","-4158","59238","35150","96402","75194","-2606","-107734","-3934","70759","30828","-101307","-9348","-8742","2320","14091","100604","-14758","-17990","120022","-48132","17448","-462","-11253","25808","-93109","-34484","32308","-28234","-30898","-57446","98903","22350","45968","-15170","17105","-2940","106508","-61010","9292","31952","-37495","16466","-11074","-2232","94654","-25548","110324","-47034","-45465","18172","31899","-10416","-19631","6246","105075","-820","-27300","73340","24608","109614","21691","-13460","-73760","19726","43911","1522","104928","11340","79773","-102302","-13664","60732","-21107","15600","-3565","-48834","-67506","4732","47953","-29118","98123","-71980","-10727","53948","-50057","64330","-28718","-26308","40505","-23344","28877","-4802","111555","-764","113474","-44968","52689","58024","40901","6786","-178555","-16820","115629","4984","40595","1302","40579","-94030","89731","-40246","-85229","30248","-13671","18986","-1161","1246","189623","-55020","-3026","14840","-45840","-9352","29908","128442","15523","-18686","-54453","67432","42745","61008","-103124","-35910","-52899","5642","194104","-12676","-6851","-102030","29419","-28982","1715","31422","-24352","65364","92025","-27744","11634","6972","54725","-38128","-75131","-107484","14582","84","-34517","92590","31897","4948","171897","30696","-77629","1792","-183210","-9590","93337","-96704","-86789","-19158","-32088","4284","62516","-47190","60302","8330","-89877","10654","19885","-5828","147772","-4214","-171343","-67280","-30037","-26428","-12517","101806","-33977","10602","12405","-2352","111637","-56612","-70108","-59900","-95742","45930","-24815","-4480","11253","56630","-660","-14818","-131204","28322","53286","-13712","-26135","-57824","-62942","72810","-7357","-9576","-27908","-36050","215231","-66436","19797","2828","56661","-36956","-23251","-36118","-75442","-38898","-41293","29420","70259","38520","111927","-5456","-127943","-16772","29480","-153674","-72730","-30332","126636","-82768","441","-42442","56285","42430","55177","56542","-173200","19572","-42953","26068","116569","-29454","-39243","-42976","-89978","-23802","-65909","-41862","116496","-27958","-62655","1848","3503","-90020","-161852","64248","-121714","-42602","7126","702","20354","-59530","-248852","-47194","-137723","-25312","52575","-97974","122748","-145566","281515","-14584","-8134","8010","-24216","22136","70669","-225108","-72635","1568","23732","-61042","107256","-9300","67487","-90520","78302","-99246","-33588","8254","-5557","14224","-18886","-31514","-54736","-34172","-167077","-5366","-85513","-35588","21112","105190","4358","-17472","-1513","-12492","69125","-8526","-99008","-257618","-31460","-92100","126245","-119786","-8029","-2400","-86759","730","40734","-106446","84965","2604","13215","-27702","-20800","-9326","-79574","46658","-13818","-16638","7763","48786","158744","27696","169974","19950","213866","111802","-80408","39630","-208440","122436","25949","23308","-57367","-6200","8987","-102810","8251","-7434","-588","-40620","-148561","-122926","67160","-37522","-861","-17684","-209767","-54344","17257","-67528","-106051","15330","-26571","104106","58989","18312","94945","63864","-26383","50714","-1283","56862","50627","101408","-24056","-3528","-6595","146976","-34122","-93108","60651","-16374","47495","7884","76801","134148","40491","-62008","166021","18984","-99108","-34256","155120","29776","133813","9818","68523","34920","181485","25638","-52396","-75418","87894","34580","55109","9610","4093","-170674","213549","6294","-31409","110370","61181","-74122","24225","-472","222995","18564","-133869","50242","-24380","-114326","-65290","322722","-5635","61758","41442","-15622","-60273","-8182","-72048","24682","-78927","113706","-86011","-93162","-30132","63532","-57855","103892","-92947","-5096","198678","-14440","-27989"]},{"label":"217.4.a.d","letter":"d","dim":12,"charpoly":["26332800","369366624","-57215508","-97236644","8689299","8524961","-357780","-279902","9934","3874","-164","-19","1"],"traces":["12","7","12","61","-14","-16","-84","60","240","10","92","284","26","-49","252","473","66","562","72","-35","-84","-1","520","219","222","379","372","-427","206","-362","-372","352","-134","-326","98","2341","1204","159","150","-285","-628","112","484","620","-242","821","928","2573","588","1446","1828","1110","1128","-442","2246","-420","-52","-2660","492","-4085","-1320","-217","-1680","1730","312","-7821","636","-1313","-880","-70","2724","741","-242","-1009","-434","-4844","-644","-3222","624","-217","732","-4018","1270","-1988","-64","-2544","1454","-5858","-4198","-8201","-182","10749","-372","-259","4680","-6071","-2482","343","2156","-7741","1476","-1472","-750","-557","-1764","-4249","-326","6689","-2272","3811","2400","-3311","2964","-5390","-2188","1700","1052","-2350","-462","-11584","2052","7460","-538","-1891","-3732","-3934","5200","-5479","3258","1841","-2354","-13091","-504","4039","-636","-8577","6388","-9289","-7194","245","8890","-1327","11576","20333","1336","-12030","588","14555","-820","6347","-1964","6849","1464","7","434","-17659","8312","1392","202","-8570","-3640","15328","-1236","-4288","16312","6684","3192","-1533","8418","1301","-3822","5843","-134","-9697","-1554","13927","-5028","6436","13926","-27536","-3172","-2653","14604","1371","8094","496","-792","-4111","-2604","8571","12006","18786","5822","-7645","-6912","2989","13390","-24595","8838","8872","-3770","-5159","-1442","29327","242","8874","26818","-7576","-782","2534","1502","8550","25428","8376","11788","13863","2604","14661","-3382","21860","24","-7109","4356","-2464","17706","-4042","6404","-17981","-9102","-12476","938","8295","-10652","12661","-1976","15316","-5546","2282","5832","-28704","1980","8294","-1824","-15133","-686","21827","-3934","-1860","-26822","-24317","2946","-16387","5598","12463","-78","-8823","-8318","-26391","-8428","18621","-24604","-10627","11310","-86576","-33190","-1113","-8106","21102","-3418","-23795","-6086","2781","-1050","16587","-9092","44408","-4446","-2829","-7440","1995","-19206","13300","-13330","3012","-4574","31640","4396","16804","-31372","18030","-10074","-41117","3278","-784","-19076","16247","-28718","-32414","17198","7065","-3388","28433","14970","-17278","1644","-23003","-1492","-4340","-33490","-310","6656","-70465","1150","21232","1694","21114","-8118","-16226","-2270","-38373","-44284","-5747","15036","15892","-51680","5664","-12948","-11207","-6496","47368","4414","-2577","41344","-23609","6126","-18011","-6852","43703","8124","-496","-2852","-17181","-4116","5550","-64708","2936","42904","12832","-15062","-10122","-20412","-47201","-9186","-33035","17658","-4450","-12796","39356","37814","-30378","-8166","-8549","24272","-7770","20174","48425","-4396","81280","-71092","-30074","-7896","-8804","-27064","-37181","60228","-816","-25300","3094","-14916","-4719","-1384","-28963","58718","8729","-15722","35305","-47882","37130","-6978","21391","-672","2940","-19012","21322","2094","-12538","-45848","34313","364","2208","15880","21561","-806","28420","-82082","18620","24864","-21712","-18240","47862","12798","25232","-3444","70592","-14990","2768","-30980","41146","-12210","28595","13810","21655","77326","-41761","-2218","94490","9240","2097","-54284","69223","23348","86171","-40284","1519","-45514","-20762","-6464","-46821","-7772","112639","11760","-14303","91382","23974","-6806","40961","-10696","-12110","-21924","65349","-43988","45009","-6082","61028","-2184","32779","-17768","37113","4606","-42942","21260","54747","12128","48505","-7812","-17859","41570","70947","-4452","-59896","27548","69315","5540","-36528","-100","9191","3768","-62650","4952","-83393","-23390","29609","6160","77774","52100","123161","36330","106422","-45900","490","-41496","-11664","8372","-25132","88742","-14663","-19068","-12279","17652","-40166","-16130","25483","38390","-5187","-53180","-53976","-13318","-45783","-5574","17859","1694","-64339","-30400","66465","4710","64955","-12938","7063","-33312","33755","-50456","-99650","41976","-30019","3038","8978","-2046","-44607","7614","-29187","37110","33908","16764","-23029","-46512","-71154","29334","98026","4508","-183128","-9432","-33466","82862","-73108","22338","22554","-34834","47484","-53586","-23748","49062","-52002","-4368","-135857","-14056","-90225","24322","-17422","-19076","1519","66152","-57542","-8910","4750","-59260","-63392","-5124","-47193","35812","-2359","22776","83052","-43754","28126","-85904","148103","-16794","-59044","13830","14203","-8890","-96844","5994","-270218","37224","48985","60540","13916","-2232","-92946","-44824","142676","-1866","-190653","448","-16373","18224","39981","63122","236749","16594","17808","-7524","-111374","-61610","-3533","90792","19580","-10178","-21181","30230","18538","-5286","-153987","-37070","41006","-29824","-168595","13414","1085","55406","-55434","29386","-234407","35868","-53395","19684","38769","-56188","57407","-7952","-146630","-70980","-124167","4168","220921","1274","-8889","53748","-32270","31668","32471","13658","-75243","-113710","-29749","43092","124389","14780","-52121","2604","-25365","11482","97251","17562","-197977","2086","1813","-23534","104335","-17726","39953","126904","31710","-32760","25208","13476","-51426","66442","24051","-994","42497","45036","41591","-11048","-31252","-39458","170447","17374","-44956","56052","31","-14414","-162689","58518","-2401","-98970","68938","-176892","-167099","53260","-121962","-15092","-82745","85340","-77831","9636","19686","-28100","54187","11362","5013","16088","-53085","151424","137105","-10332","-117236","-13820","-30299","78750","24933","-16120","10304","-141524","175046","-73814","-36934","83658","-96577","5250","-131739","85444","151236","-54372","-43401","32028","3899","-77814","-12861","71774","-69369","56570","-2011","12348","71239","92532","-167224","-47952","-139290","35906","29743","85418","-6789","3302","-147420","144160","15780","2282","69598","-19852","-97959","-6136","-68190","108514","-46823","-108342","11384","-171570","12495","-85294","412345","15904","-83787","39260","143623","87258","186838","-73574","-26677","-46376","35755","6064","-248535","-6882","-40559","-16800","68868","14102","81474","26116","-118480","51644","23177","-81698","161047","-33228","-153715","23078","45228","-20748","-279989","157576","-142799","187518","148389","55948","37730","10366","51883","-98740","55670","128994","80613","15316","-11749","23284","61500","128420","-237938","-47550","-11900","-74906","-113994","75910","74652","165438","76699","-7364","159727","-1020","96588","75224","-172629","27092","16450","9234","528024","56656","-109955","34732","-39399","3234","91924","-71874","-12300","-11532","-33737","-85680","81088","-75120","38724","162566","-113497","30072","176510","-14364","228064","74948","21671","135114","198805","51120","-52220","212310","15638","-110360","-64277","112546","133165","3766","-45292","-12280","78214","183656","40131","-78728","13237","-31736","-129535","167102","-99042","-13786","72217","26124","83251","-3926","-96992","135838","191248","-13748","27538","18766","-80321","-86090","199516","187232","173038","-36400","29176","-121462","1362","-2154","-216738","-136972","38353","-92708","159299","-6386","-170845","17518","92159","-22806","-67684","106192","54479","-38854","-78132","-50478","-12887","27122","-308563","-71268","-372039","-130336","-16161","16478","89581","114502","-164517","217940","91721","20432","91637","-6752","-52003","38358","-85131","-52926","11222","3528","-221655","220352","-150942","-21204","110989","-138438","-28273","-22944","-188851","-15828","-91439","-104512","80017","4452","29704","-58200","371368","3332","-139723","-121782","60039","44064","-170443","-40962","-217072","98614","105238","-44716","-87307","11532","-159295","-166274","20173","-56366","65023","-33292","212445","-126226","101457","-127364","230165","50358","-49993","-69430","-78862","30170","-245956","34962","-1715","46010","46486","33870","72329","-2122","-116724","-62230","117655","77530","361807","111812","-10912","-9432","9289","-120544","-176219","-55560","-59708","125004","84827"]},{"label":"217.4.a.e","letter":"e","dim":13,"charpoly":["-732729088","-1022569344","765926436","190762892","-133394361","-12143188","9325847","217240","-300482","5878","4168","-207","-16","1"],"traces":["13","6","10","54","46","20","91","75","121","106","-16","-44","42","42","96","130","236","-75","166","565","70","-33","400","183","385","449","448","378","128","-8","403","831","390","78","322","-78","-530","243","966","741","1034","140","20","-332","1042","151","1960","331","637","919","-568","-422","626","980","-182","525","-796","-38","1214","-773","-988","186","847","-1509","-440","-4639","232","-645","-1300","742","-332","-2760","-748","-1769","176","-1292","-112","-5726","448","-2047","-95","-122","-476","-308","-3228","-2046","1158","-3544","2216","-1817","294","-2913","310","-2109","-96","-2655","1252","294","-5728","-734","1380","-4424","566","4055","672","-11255","3950","-3509","1322","137","4636","910","-622","-4584","-304","-7764","-1536","-2926","1652","-9824","2761","-4600","1766","1674","6636","-525","-920","6920","450","-11201","3352","4671","1162","-4681","6768","-4315","-1042","6903","3216","3955","-6218","1497","4380","-11714","-3580","6304","490","-14205","5610","-9865","-1324","4203","6386","-231","1426","11269","-2456","-3272","6190","3844","2800","-8697","8804","5762","-5408","5434","15488","1281","1405","10821","820","3795","8410","6105","2695","-11431","7924","-15440","690","9154","6164","3143","-7772","5623","-4174","620","11436","27911","3136","-5673","15798","-4796","-7140","14807","14572","2646","204","16521","2218","5505","13946","7025","896","-25537","2938","-13012","3310","21510","10486","-56","962","4082","-6208","5476","8140","3135","2821","3351","8550","-12404","-3680","3839","5872","5817","-8795","3576","12990","-6839","-1210","16786","2730","-14457","7662","-17449","-2744","12082","-9854","546","-3084","-15438","-15014","4601","9706","-11981","2254","-18613","3718","2325","-20554","28405","9352","-546","-22402","-6307","-23894","9490","14460","27385","-3710","-9441","-6442","-11637","15550","-1866","-15346","1701","-13510","-16766","-5646","13405","4686","577","6762","-24239","11524","-31346","-36800","28425","3751","5187","-4660","2912","4228","-3496","-26290","-28914","7238","-21009","-8169","-12406","-9790","5813","1270","980","-3012","-16159","-22914","-3888","-21066","-9469","140","-807","-18326","-12686","-14176","4659","-18302","-2324","-48714","3286","22836","18771","-15384","-5882","7294","-30618","2824","-6754","-16366","3139","-10368","1057","17764","-9363","-34512","40384","-12548","-4441","13720","-58004","12090","16861","-35774","14795","25398","2317","-12630","8080","-25280","11560","-496","4377","4459","-34754","-20868","-7666","-19396","39938","114","6433","10164","-35695","4352","30873","-6966","24386","-3976","-1680","-40330","-24390","-43845","17343","-14218","-2954","-24370","12689","35152","30974","-46714","-9032","4382","-1364","78","51037","-31068","46998","19796","6860","-20884","15757","-6308","22617","18246","16127","-1274","9583","32234","20578","6768","-27861","12496","3675","-13848","-11362","6002","13468","-18488","43503","-5572","-30285","-16578","17273","1302","20110","-6674","-266","59528","31796","-30070","39538","8014","-11880","8498","-38888","6442","74030","-36864","52112","9604","-5411","-40872","-701","10606","-15067","-12528","-12848","-6916","51625","-12116","-16409","-2492","-707","-16606","1302","64334","89576","-248","83835","-27836","-13549","5929","15385","11986","36032","-30746","69737","50904","-10563","11850","47158","25664","2875","13494","-46638","-3080","16577","-16478","22477","18590","65048","25968","-32473","33980","-2959","2976","53007","38408","-74165","1624","45160","-7860","-37055","-26252","17732","27046","-4515","37982","87578","41976","48421","-26410","48387","-9100","33439","-13500","10679","-14030","-35252","-66036","5194","51052","62830","-31448","-15562","-34442","4030","-2324","78477","-10416","63388","17390","-29033","34494","-19320","-26420","42424","-27240","72267","-24930","-52095","-5236","2188","8636","-77425","-41546","-38271","-47094","-12383","17280","-1821","72242","130546","-42806","-34343","1232","73640","7316","9341","-23369","-139529","77324","-9044","23508","-3333","34996","-8902","-58002","-33278","-784","55828","-56738","-8676","19670","-51126","-36194","-40082","30878","-51260","-55786","-12542","-32398","-6510","3136","-68827","-21672","15715","-59428","-2325","24572","-14329","-18040","19236","80756","-82352","-49656","-50808","-665","43903","-107618","-42959","5560","-51024","-1578","-854","74176","-119040","-6348","8045","-45850","-132069","-3332","28058","61530","12058","-65648","-86229","41430","-2156","5146","-67014","46556","-97092","16392","-62371","-22596","66165","-23296","20651","-16638","-129843","16952","-14322","117160","5818","22166","131361","-76044","-88374","8106","17989","-55006","-50094","-47712","-68399","116366","-24808","19630","15961","-8548","17515","-5914","-21170","15512","42125","36165","-33101","-12572","47109","-26748","-12719","25956","-106242","69892","15195","26540","-3859","2058","-124313","-34100","-53420","-78790","-155463","66144","-20391","108690","110297","70316","36948","-62088","-238037","2170","119175","35028","-161113","41898","8791","-79228","-14763","51442","-19617","19202","-91877","48904","40062","-672","179362","-50340","57960","-108782","-46515","50270","-18585","-4898","-183579","47528","153875","41262","39701","8764","10478","-50380","-1023","2750","30307","-120522","2058","154278","-36480","55696","48461","24810","-62878","-40096","-35333","-26552","-4991","-69732","-304","83244","-5138","61276","-150467","63876","-122201","-91000","-50179","9660","175194","-40106","-65447","55966","-55967","12400","-30968","94628","-135712","82126","134802","-9358","-108817","3962","-14516","86336","-141894","-81718","162639","56032","28385","-25961","110161","-8394","-26505","-29550","-188183","4704","2487","-95928","97648","81656","-129796","-2066","-78785","33438","5673","61446","106834","-161198","113794","27650","-111956","75612","64969","42740","54370","-34014","-24563","102660","-165160","102546","43207","35424","-124903","9254","-109471","-38652","16621","-45114","86594","21156","959","42320","-29095","117892","5067","11935","-78029","32452","-10966","-32230","127444","-6768","-36678","181188","6370","39582","-51941","34126","99795","58346","72408","-4354","179927","-116096","-175821","-31506","48853","-107608","-32088","64294","-173772","187274","80630","-44706","-34745","-2128","13919","154940","225768","-105030","41296","38300","-54348","85846","10938","155326","175780","-81074","-30729","-10752","76935","18330","40964","115288","-192317","-89400","-20482","82282","73098","-76296","24203","33120","249831","11564","-53856","60834","62146","13888","118085","63520","-68768","121631","47410","-35458","17155","112556","-97530","19327","-103882","-34976","162289","-30814","142175","96968","-32200","-73482","164434","29034","177591","-105952","-261753","12362","161600","69336","-123066","-98992","-26959","41790","11718","16536","310249","-36442","211368","82660","-81299","46452","139719","8428","132550","-163550","75018","114350","-3675","93602","-255629","232454","-22608","52884","-69226","-6440","-215354","-137674","50832","53294","137674","42964","48440","108864","151303","3968","158950","79902","-364641","3150","-2134","-74596","-37403","5854","89786","20154","-78407","28646","124725","-50268","-7045","-196136","173381","23464","68533","29702","-25775","-210124","19367","-42980","32697","156370","-186683","-71734","-23161","-800","-248","8134","40039","-50872","54364","70812","-100429","37760","-32767","-64668","211693","73028","97547","-11760","-191735","47376","-68776","4488","-156444","-149460","-65273","68930","-30205","-122962","-130535","-101006","125868","-194130","-51880","-7294","59931","12493","-171765","-79702","-57951","109450","48321","-37684","-61652","25542","143689","-14050","-138383","22512","-92393","-10558","-27552","22516","58128","-122726","27685","-153652","-5912","23866","-101635","-110594","-133726","-43526","-26681","-156086","-186247","-181836","25761","68280","10479","-194640","78853","66060","-10962","-105332","14867"]}],"seconds":0.144,"computed":"atlas","estimate":{"seconds":0.486,"low":0.296,"high":0.84,"bytes":2234319}}