{"label":"114.4.a","level":114,"weight":4,"dims":{"new":8,"cusp":56,"eisenstein":8,"modsym":120},"old":[[6,1,2],[19,4,4],[38,5,2],[57,10,2]],"T":[[5,1],[7,3]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 6, 19, 38, 57, 114]: [1, 2, 2, 5, 6, 17, 22, 64] (certified at ell = 2147483647)","T = [(5, 1), (7, 3)]; h of degree 8 = 1 x 8 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"114.4.a.a","letter":"a","dim":1,"charpoly":["-8","1"],"traces":["1","-2","-3","4","-19","6","9","-8","9","38","-13","-12","38","-18","57","16","99","-18","-19","-76","-27","26","68","24","236","-76","-27","36","130","-114","262","-32","39","-198","-171","36","-296","38","-114","152","-8","54","73","-52","-171","-136","-271","-48","-262","-472","-297","152","-502","54","247","-72","57","-260","540","228","587","-524","81","64","-722","-78","684","396","-204","342","992","-72","-507","592","-708","-76","-117","228","980","-304","81","16","-492","-108","-1881","-146","-390","104","810","342","342","272","-786","542","361","96","-1046","524","-117","944","1682","594","978","-304","513","1004","674","-108","-360","-494","888","144","1838","-114","-1292","520","342","-1080","891","-456","-1162","-1174","24","1048","-2109","-162","-1386","-128","-219","1444","-1083","156","-171","-1368","513","-792","499","408","-195","-684","813","-1984","-494","144","-2470","1014","786","-1184","-1485","1416","332","152","891","234","-4978","-456","3814","-1960","1506","608","612","-162","-3352","-32","-741","984","3714","216","-753","3762","-171","292","-1242","780","2124","-208","-1620","-1620","2310","-684","82","-684","-1761","-544","5624","1572","-1287","-1084","-243","-722","-1313","-192","-2352","2092","2166","-1048","-3826","234","2225","-1888","-2052","-3364","1170","-1188","152","-1956","612","608","247","-1026","1632","-2008","-2976","-1348","-1387","216","2358","720","1521","988","3762","-1776","1148","-288","2124","-3676","5794","228","2525","2584","351","-1040","-1227","-684","5149","2160","-2940","-1782","675","912","-6068","2324","-243","2348","4978","-48","-722","-2096","1476","4218","-3763","324","-884","2772","5643","256","4304","438","-2664","-2888","1170","2166","-8247","-312","9538","342","-2430","2736","-5430","-1026","5452","1584","-1026","-998","-3068","-816","-6311","390","2358","1368","-6158","-1626","5853","3968","-1083","988","-72","-288","4888","4940","3138","-2028","-5892","-1572","-10260","2368","351","2970","2584","-2832","657","-664","-5046","-304","-11153","-1782","1824","-468","-2934","9956","9757","912","-5722","-7628","-1539","3920","10224","-3012","-1690","-1216","-2022","-1224","-1881","324","8968","6704","1080","64","-2439","1482","1712","-1968","-2664","-7428","-12996","-432","934","1506","-5514","-7524","-3406","342","-5445","-584","3876","2484","-6491","-1560","3205","-4248","-1026","416","-3522","3240","-18848","3240","-2673","-4620","-7365","1368","361","-164","3486","1368","9633","3522","10624","1088","-72","-11248","-4518","-3144","2528","2574","6327","2168","4940","486","-6810","1444","4158","2626","-8222","384","2223","4704","657","-4184","1725","-4332","6732","2096","3249","7652","-18620","-468","11669","-4450","513","3776","9592","4104","9956","6728","-1539","-2340","3848","2376","9130","-304","-1497","3912","4860","-1224","9348","-1216","585","-494","-3660","2052","-13438","-3264","-2439","4016","23364","5952","5283","2696","1482","2774","-1458","-432","-13342","-4716","7410","-1440","-1292","-3042","4490","-1976","-2358","-7524","2713","3552","-15390","-2296","4455","576","2140","-4248","104","7352","-996","-11588","-6498","-456","-2221","-5050","-2673","-5168","16907","-702","-2237","2080","14934","2454","-311","1368","6156","-10298","-11442","-4320","-949","5880","-4484","3564","-4518","-1350","12640","-1824","-11248","12136","-1836","-4648","19874","486","13324","-4696","10056","-9956","5552","96","12870","1444","2223","4192","8928","-2952","-15125","-8436","-11142","7526","-1632","-648","-31958","1768","2259","-5544","4410","-11286","-4563","-512","513","-8608","-18582","-876","3523","5328","3726","5776","-2488","-2340","-17662","-4332","-6372","16494","25938","624","-7543","-19076","4860","-684","-304","4860","-12806","-5472","-6930","10860","3406","2052","10487","-10904","-246","-3168","6840","2052","13174","1996","5283","6136","-2470","1632","8820","12622","-16872","-780","-14321","-4716","2774","-2736","3861","12316","-7212","3252","-34922","-11706","729","-7936","3490","2166","6152","-1976","3939","144","16048","576","-20941","-9776","7056","-9880","-4428","-6276","6526","4056","-6498","11784","-23331","3144","-4978","20520","11478","-4736","-18542","-702","-16929","-5940","-6675","-5168","-2700","5664","17452","-1314","6156","1328","22078","10092","5114","608","-3510","22306","-10298","3564","19333","-3648","-456","936","1599","5868","3580","-19912","-1836","-19514","7290","-1824","10571","11444","-741","15256","-29304","3078","18917","-7840","-4896","-20448","26334","6024","-9956","3380","8928","2432","-8058","4044","4153","2448","4161","3762","17519","-648","-7020","-17936","-7074","-13408","-3957","-2160","20577","-128","-4563","4878","-14890","-2964","11812","-3424","-11286","3936","3249","5328","8840","14856","-3444","25992","-7631","864","9308","-1868","-6372","-3012","9814","11028","-9414","15048","-17382","6812","-29942","-684","-9481","10890","-7575","1168","-19076","-7752","-25353","-4968","-1053","12982","3705","3120","-792","-6410","3681","8496","-5038","2052","5624","-832","-15447","7044","15138","-6480","30150","37696","8820","-6480","17816","5346","9386","9240","-2025","14730","-425","-2736","8802","-722","18204","328","30680","-6972","-18941","-2736","729","-19266","7227","-7044","-27702","-21248","-14934","-2176","-8892","144","4685","22496","2166","9036","-36172","6288","28215","-5056","-4428","-5148","6066","-12654","2912","-4336","11289","-9880","-6308","-972","27259","13620","2652","-2888","147","-8316","-3240","-5252","-16929","16444","20520","-768","-14645","-4446","-12912","-9408","-1632","-1314","61832","8368","7992","-3450","152","8664","-12896","-13464","-3510","-4192","-72466","-6498","-15776","-15304","24741","37240","16542","936","22306","-23338","-28614","8900","-17256","-1026","-26829","-7552","7290","-19184","6591","-8208","-11628","-19912","16290","-13456","25845","3078","10962","4680","-16356","-7696","63688","-4752","-1387","-18260","3078","608","627","2994","38153","-7824","9204","-9720","23744","2448","-18060","-18696","18933","2432","-25938","-1170","-70566","988","-7074","7320","-8590","-4104","-7489","26876","18474","6528","14307","4878","-10458","-8032","-17559","-46728","-20128","-11904","-222","-10566","3249","-5392","-16956","-2964","11245","-5548","216","2916","12468","864","23598","26684","-14664","9432","-12740","-14820","25992","2880","-9414","2584","-18981","6084","8194","-8980","17676","3952","-28833","4716","29413","15048","30780","-5426","24544","-7104","-12474","30780","-1053","4592","5149","-8910","-43890","-1152","-7752","-4280","34060","8496","-49698","-208","-1971","-14704","-1558","1992","-26326","23176","15138","12996","-42738","912","6396","4442","33459","10100","-9747","5346","-38680","10336","-5472","-33814","37696","1404","-69856","4474","8802","-4160","32270","-29868","4978","-4908","-29271","622","24453","-2736","30989","-12312","17166","20596","-8318","22884","-544","8640","4617","1898","-46716","-11760","-19266","8968","-30672","-7128","-50212","9036","24947","2700","5070","-25280","4491","3648","38853","22496","6066","-24272","44688","3672","-12336","9296","5643","-39748","40532","-972","-1755","-26648","-26904","9392","-19426","-20112","-10530","19912","-3240","-11104","34428","-192","72694","-25740","7317","-2888","4964","-4446","10072","-8384","-5136","-17856","-42275","5904","12589","30250","7992","16872"]},{"label":"114.4.a.b","letter":"b","dim":1,"charpoly":["52","1"],"traces":["1","-2","3","4","-7","-6","-15","-8","9","14","-49","12","14","30","-21","16","-33","-18","-19","-28","-45","98","-148","-24","-76","-28","27","-60","-278","42","94","-32","-147","66","105","36","160","38","42","56","400","90","73","-196","-63","296","173","48","-118","152","-99","56","170","-54","343","120","-57","556","-12","-84","419","-188","-135","64","-98","294","444","-132","-444","-210","-952","-72","-27","-320","-228","-76","735","-84","-556","-112","81","-800","-276","-180","231","-146","-834","392","1386","126","-210","-592","282","-346","133","-96","130","236","-441","-304","-238","198","-1374","-112","315","-340","218","108","-2184","-686","480","-240","1334","114","1036","-1112","126","24","495","168","1070","-838","1200","376","1407","270","-666","-128","219","196","-303","-588","285","-888","-189","264","583","888","-1467","420","519","1904","-686","144","1946","54","-354","640","351","456","-3100","152","-297","-1470","-658","168","-2474","1112","510","224","2220","-162","2360","1600","1029","552","-1110","360","-2001","-462","-171","292","-258","1668","1140","-784","-36","-2772","-3762","-252","706","420","1257","1184","-1120","-564","1617","692","-405","-266","2659","192","3648","-260","-294","-472","494","882","-3679","608","1332","476","4170","-396","-2800","2748","-1332","224","931","-630","792","680","-2856","-436","-511","-216","-1410","4368","-81","1372","-462","-960","-4636","480","-684","-2668","-6446","-228","5765","-2072","2205","2224","-5847","-252","-1211","-48","-1668","-990","2823","-336","-6140","-2140","243","1676","826","-2400","-266","-752","-828","-2814","-3103","-540","7252","1332","693","256","2336","-438","-2400","-392","-2502","606","-2739","1176","-1190","-570","4158","1776","-6486","378","-308","-528","-630","-1166","3724","-1776","2977","2934","846","-840","4570","-1038","6429","-3808","399","1372","-6000","-288","-3824","-3892","390","-108","5724","708","84","-1280","-1323","-702","-2072","-912","-1095","6200","-714","-304","-2933","594","8304","2940","-4122","1316","-791","-336","10166","4948","945","-2224","6408","-1020","13622","-448","654","-4440","627","324","-1064","-4720","-6552","-3200","-2595","-2058","2576","-1104","1440","2220","-3108","-720","-7922","4002","4002","924","-4606","342","6915","-584","3108","516","2305","-3336","-4619","-2280","378","1568","12366","72","6664","5544","1485","7524","-12417","504","361","-1412","3210","-840","189","-2514","5776","-2368","3600","2240","-2550","1128","3392","-3234","4221","-1384","-3892","810","5766","532","-1998","-5318","8482","-384","-5145","-7296","657","520","-1983","588","4884","944","-909","-988","3892","-1764","-4555","7358","855","-1216","-11624","-2664","1316","-952","-567","-8340","-7840","792","-12446","5600","1749","-5496","180","2664","1932","-448","-4401","-1862","-468","1260","-7894","-1584","1557","-1360","2508","5712","-6285","872","-2058","1022","-9234","432","9842","2820","5838","-8736","2812","162","-10966","-2744","-1062","924","-8795","1920","-9702","9272","1053","-960","2476","1368","-19600","5336","-9300","12892","1470","456","-13837","-11530","-891","4144","407","-4410","-17741","-4448","-1974","11694","16765","504","-6660","2422","-7422","96","-3577","3336","1444","1980","1530","-5646","-824","672","2240","12280","6660","4280","-910","-486","-668","-3352","7080","-1652","15080","4800","9174","532","3087","1504","14280","1656","10915","5628","-3330","6206","-16728","1080","1666","-14504","-6003","-2664","17754","-1386","405","-512","-513","-4672","9618","876","-8477","4800","-774","784","-2584","5004","-2158","-1212","3420","5478","-3102","-2352","9737","2380","-108","1140","5600","-8316","-1526","-3552","-11286","12972","5782","-756","-14137","616","2118","1056","15288","1260","10222","2332","3771","-7448","5282","3552","8340","-5954","-3360","-5868","10387","-1692","1022","1680","4851","-9140","-10404","2076","-9338","-12858","-1215","7616","4258","-798","6440","-2744","7977","12000","11248","576","-14869","7648","10944","7784","4140","-780","-8330","216","-882","-11448","1041","-1416","-1786","-168","1482","2560","-15662","2646","-3465","1404","-11037","4144","18900","1824","6100","2190","3996","-12400","-7490","1428","-5902","608","12510","5866","2422","-1188","15901","-16608","-8400","-5880","-30429","8244","-22484","-2632","-3996","1582","-20790","672","-349","-20332","2793","-9896","-5280","-1890","29885","4448","2376","-12816","4662","2040","-1652","-27244","-8568","896","4038","-1308","19993","8880","-1533","-1254","-17077","-648","588","2128","-4230","9440","17631","13104","2121","6400","-243","5190","12014","4116","10852","-5152","-1386","2208","-1995","-2880","41144","-4440","-13908","6216","-20531","1440","-1708","15844","-2052","-8004","17902","-8004","-1950","-1848","-19338","9212","2938","-684","-4081","-13830","17295","1168","2380","-6216","519","-1032","6615","-4610","10269","6672","-13200","9238","-17541","4560","-4942","-756","-3040","-3136","-3633","-24732","3570","-144","19302","-13328","-5004","-11088","-13912","-2970","4802","-15048","8469","24834","-22973","-1008","20610","-722","-18420","2824","21128","-6420","-32429","1680","729","-378","-2409","5028","2682","-11552","2478","4736","-21756","-7200","-15835","-4480","-798","5100","-16876","-2256","-2457","-6784","-2484","6468","-3270","-8442","-35296","2768","-9309","7784","21700","-1620","18259","-11532","21756","-1064","13455","3996","32760","10636","2079","-16964","-168","768","-16061","10290","7008","14592","4680","-1314","-7144","-1040","-7200","3966","-7600","-1176","46648","-9768","-7506","-1888","17318","1818","-37760","1976","-8217","-7784","-20010","3528","5866","9110","-3570","-14716","22008","-1710","-5709","2432","12474","23248","1323","5328","-15540","-2632","-19458","1904","-12615","1134","45402","16680","-924","15680","-16520","-1584","-1387","24892","-1890","-11200","1335","-3498","-559","10992","11172","-360","13856","-5328","18228","-3864","8931","896","3894","8802","7770","3724","2538","936","-13414","-2520","52895","15788","13710","3168","14007","-3114","-16050","2720","19287","-5016","-23680","-11424","-44718","12570","1197","-1744","-33924","4116","-16427","-2044","-18000","18468","23292","-864","1806","-19684","-11472","-5640","27244","-11676","6216","17472","1170","-5624","-21105","-324","-43598","21932","17172","5488","39123","2124","-4115","-1848","252","17590","13384","-3840","9990","19404","-3969","-18544","-3287","-2106","26334","1920","-6216","-4952","-26132","-2736","-5610","39200","-3285","-10672","-4942","18600","-36718","-25784","-2142","-2940","46614","-912","13524","27674","-8799","23060","4545","1782","11192","-8288","24912","-814","-13328","8820","-12160","35482","-12366","8896","542","3948","2242","-23388","-2373","-33530","-11319","-1008","39053","13320","30498","-4844","-33398","14844","-59200","-192","2835","7154","-54084","-6672","-378","-2888","19224","-3960","-30484","-3060","-18613","11292","40866","1648","-8745","-1344","-20955","-4480","1962","-24560","-25536","-13320","13584","-8560","1881","1820","43892","972","22005","1336","-3192","6704","30542","-14160","-67914","3304","-19656","-30160","-2868","-9600","-3458","-18348","-7785","-1064","-10804","-6174","-23696","-3008","7728","-28560","25753","-3312","-46811","-21830","4320","-11256"]},{"label":"114.4.a.c","letter":"c","dim":1,"charpoly":["-24","1"],"traces":["1","-2","3","4","12","-6","4","-8","9","-24","8","12","-24","-8","36","16","62","-18","19","48","12","-16","194","-24","19","48","27","16","102","-72","18","-32","24","-124","48","36","-296","-38","-72","-96","134","-24","-60","32","108","-388","-226","48","-327","-38","186","-96","-362","-54","96","-32","57","-204","-316","144","134","-36","36","64","-288","-48","-240","248","582","-96","-800","-72","-578","592","57","76","32","144","1078","192","81","-268","940","48","744","120","306","-64","170","-216","-96","776","54","452","228","-96","206","654","72","76","-884","-372","-1146","192","144","724","940","108","-892","-192","-888","64","-1858","-114","2328","408","-216","632","248","-288","-1267","-268","402","72","-1272","-72","322","-128","-180","576","-1500","96","76","480","324","-496","-1146","-1164","1364","192","-678","1600","-192","144","1224","1156","-981","-1184","1168","-114","1270","-152","558","-64","216","-288","-1182","-2156","-1086","-384","776","-162","764","536","288","-1880","1284","-96","-1621","-1488","171","-240","-4134","-612","76","128","-948","-340","2660","432","2340","192","402","-1552","-3552","-108","496","-904","108","-456","3818","192","-1330","-412","-864","-1308","2432","-144","3788","-152","-720","1768","408","744","1608","2292","1746","-384","152","-288","-1868","-1448","-2400","-1880","-720","-216","72","1784","-1734","384","-1488","1776","-3990","-128","171","3716","-3596","228","5518","-4656","96","-816","138","432","-2712","-1264","3234","-496","6870","576","5830","2534","243","536","-3924","-804","-456","-144","2820","2544","564","144","1552","-644","2232","256","1842","360","-1184","-1152","918","3000","3702","-192","-4344","-152","510","-960","6130","-648","-7300","992","-288","2292","152","2328","7822","-2728","162","-384","3278","1356","-5636","-3200","684","384","536","-288","-1069","-2448","618","-2312","-7310","1962","-3792","2368","216","-2336","-4656","228","-240","-2540","-2652","304","1608","-1116","-4008","128","-3438","-432","6182","576","-9594","2364","432","4312","2874","2172","816","768","2820","-1552","1178","324","-456","-1528","-2676","-1072","-904","-576","-6240","3760","-2664","-2568","-2880","192","-10126","3242","-5574","2976","144","-342","-2680","480","6984","8268","-3376","1224","-9806","-152","-648","-256","9402","1896","-9600","680","744","-5320","11010","-864","361","-4680","-3801","-384","-6936","-804","9956","3104","1206","7104","-1448","216","2024","-992","-3816","1808","-2448","-216","-8560","912","966","-7636","-3944","-384","384","2660","-540","824","-1964","1728","12028","2616","-4500","-4864","12936","288","7434","-7576","228","304","-7026","1440","-432","-3536","972","-816","-2368","-1488","8454","-3216","-3438","-4584","-1264","-3492","11280","768","4092","-304","-12552","576","13120","3736","-2034","2896","1178","4800","536","3760","-576","1440","12388","432","7182","-144","3672","-3568","3686","3468","16090","-768","-2943","2976","-2544","-3552","2040","7980","3504","256","4338","-342","1072","-7432","3810","7192","-1152","-456","10274","-11036","1674","9312","768","-192","-11148","1632","648","-276","18532","-864","-960","5424","-3546","2528","-480","-6468","361","992","-3258","-13740","-6942","-1152","7104","-11660","2328","-5068","2472","-486","-9370","-1072","2292","7848","-13572","1608","6324","912","864","288","-3200","-5640","-124","-5088","3852","-1128","638","-288","-10608","-3104","-4863","1288","-9758","-4464","-2312","-512","513","-3684","-13752","-720","-1808","2368","-12402","2304","-4750","-1836","-18080","-6000","228","-7404","1116","384","25469","8688","-2844","304","-3216","-1020","11280","1920","7980","-12260","-2616","1296","-3478","14600","7020","-1984","-10704","576","13832","-4584","1206","-304","1938","-4656","4312","-15644","-10656","5456","-17296","-324","1440","768","1488","-6556","-2196","-2712","-22296","11272","324","6400","25386","-1368","1196","-768","11454","-1072","3686","576","-7934","2138","-3990","4896","3760","-1236","-2896","4624","-2592","14620","-22120","-3924","342","7584","7296","-4736","9722","-432","2976","4672","11364","9312","-9980","-456","6138","480","-2160","5080","-15204","5304","10286","-608","1224","-3216","5424","2232","4178","8016","4824","-256","-19086","6876","-11084","864","5238","-12364","680","-1152","-17639","19188","456","-4728","-18352","-864","-9160","-8624","-5604","-5748","3864","-4344","7848","-1632","-7200","-1536","13082","-5640","7852","3104","-2160","-2356","10530","-648","-2528","912","216","3056","-17880","5352","-18000","2144","-5202","1808","27404","1152","22936","12480","-4464","-7520","912","5328","19788","5136","-11970","5760","1072","-384","-25762","20252","513","-6484","11214","11148","824","-5952","-10788","-288","15516","684","-13752","5360","16554","-960","8688","-13968","-13028","-16536","288","6752","16368","-2448","8308","19612","414","304","-14404","1296","-5624","512","-8136","-18804","-3536","-3792","13070","19200","9702","-1360","3492","-1488","-2304","10640","20610","-22020","-7450","1728","-4584","-722","17490","9360","1938","7602","23792","768","729","13872","-3720","1608","-29390","-19912","-11772","-6208","-1920","-2412","-22580","-14208","-1368","2896","21732","-432","14016","-4048","8460","1984","3760","7632","-19754","-3616","1692","4896","15240","432","-5662","17120","4656","-1824","-6818","-1932","-3568","15272","6696","7888","7584","768","-7986","-768","5526","-5320","21666","1080","342","-1648","-3552","3928","2546","-3456","-6400","-24056","2754","-5232","-14184","9000","-10628","9728","11106","-25872","-7432","-576","-3216","-14868","-13032","15152","1450","-456","-14012","-608","1530","14052","-4624","-2880","9312","864","18390","7072","-32850","-1944","-2744","1632","-21900","4736","9168","2976","-1140","-16908","-864","6432","-13884","6876","20968","9168","456","2528","-12516","6984","22484","-22560","23466","-1536","-20274","-8184","15408","608","486","25104","8436","-1152","-13985","-26240","9834","-7472","-19452","4068","-5068","-5792","-16908","-2356","-57424","-9600","-4818","-1072","2052","-7520","29346","1152","45532","-2880","1608","-24776","18124","-864","-49608","-14364","-3207","288","8624","-7344","5760","7136","1854","-7372","-5088","-6936","-2824","-32180","-21930","1536","45906","5886","-32292","-5952","-11376","5088","2364","7104","1288","-4080","648","-15960","-4294","-7008","31920","-512","-13968","-8676","1836","684","-22444","-2144","-720","14864","28080","-7620","-4304","-14384","-7956","2304","-15060","912","7520","-20548","4824","22072","-6000","-3348","39160","-18624","-12024","-1536","19200","384","-5624","22296","-10314","-3264","-33810","-1296","-6213","552","18546","-37064","5952","1728","54614","1920","-28782","-10848","11594","7092","25996","-5056","1296","960","9452","12936","13872","-722","8622","-1984","36966","6516","45816","27480","2448","13884","-4584","2304","-29467","-14208","8460","23320","-15960","-4656","-324","10136","3534","-4944","9084","972","5456","18740","-1368","2144","38142","-4584","1360","-15696","-8028","27144","19248","-3216","29184","-12648","-2712","-1824","-11640","-1728","-34070","-576","-18720","6400","45456","11280","26282","248","-7992","10176"]},{"label":"114.4.a.d","letter":"d","dim":1,"charpoly":["56","1"],"traces":["1","2","-3","4","-11","-6","-15","8","9","-22","-29","-12","-82","-30","33","16","27","18","-19","-44","45","-58","100","-24","-4","-164","-27","-60","-118","66","70","32","87","54","165","36","232","-38","246","-88","8","90","-287","-116","-99","200","385","-48","-118","-8","-81","-328","538","-54","319","-120","57","-236","-300","132","-901","140","-135","64","902","174","132","108","-300","330","472","72","-1131","464","12","-76","435","492","-52","-176","81","16","276","180","-297","-574","354","-232","-1302","-198","1230","400","-210","770","209","-96","-1310","-236","-261","-16","-638","-162","786","-656","-495","1076","-1310","-108","-1296","638","-696","-240","-1130","114","-1100","-472","-738","-600","-405","264","-490","-1802","-24","280","1419","-270","750","128","861","1804","-1275","348","285","264","297","216","2123","-600","2277","660","-1155","944","2378","144","1298","-2262","354","928","2235","24","-2764","-152","243","870","-770","984","1702","-104","-1614","-352","-1500","162","2840","32","-957","552","1194","360","4527","-594","-171","-1148","-3786","708","60","-464","900","-2604","2094","-396","-350","2460","2703","800","-2552","-420","-783","1540","405","418","-1489","-192","600","-2620","-2706","-472","-290","-522","4169","-32","-396","-1276","1770","-324","-88","1572","900","-1312","551","-990","-1368","2152","-1416","-2620","3157","-216","-1050","-2592","3393","1276","-2214","-1392","2540","-480","-36","-2260","-5974","228","-355","-2200","-1305","-944","237","-1476","-4235","-1200","156","-810","1635","528","-164","-980","-243","-3604","1298","-48","1558","560","-828","2838","-2099","-540","-2900","1500","891","256","5536","1722","-3480","3608","-1062","-2550","2073","696","-5918","570","3906","528","1482","594","-7268","432","-3690","4246","116","-1200","-4583","4554","630","1320","5762","-2310","3909","1888","-627","4756","-120","288","-4184","2596","3930","-4524","-8148","708","3300","1856","783","4470","-8200","48","4305","-5528","1914","-304","9911","486","600","1740","-2358","-1540","-4963","1968","5462","3404","1485","-208","-984","-3228","3422","-704","3930","-3000","-513","324","328","5680","3888","64","-5775","-1914","-2632","1104","2088","2388","-1452","720","-11234","9054","3390","-1188","-2030","-342","6915","-2296","3300","-7572","-3211","1416","2341","120","2214","-928","6366","1800","-5192","-5208","1215","4188","-7989","-792","361","-700","1470","4920","12441","5406","-10544","1600","72","-5104","-8070","-840","7616","-1566","-4257","3080","9676","810","5958","836","-2250","-2978","-12382","-384","-4785","1200","-2583","-5240","7989","-5412","2700","-944","3825","-580","572","-1044","7061","8338","-855","-64","-14512","-792","-5740","-2552","-891","3540","-6728","-648","12634","-176","-6369","3144","4500","1800","-3036","-2624","-6831","1102","-8268","-1980","-1534","-2736","3465","4304","-108","-2832","13515","-5240","-7134","6314","14358","-432","-4534","-2100","-3894","-5184","-1900","6786","-12766","2552","-1062","-4428","-16711","-2784","14322","5080","-6705","-960","3932","-72","-232","-4520","8292","-11948","-13530","456","4451","-710","-729","-4400","9619","-2610","16603","-1888","2310","474","12857","-2952","-1980","-8470","-5106","-2400","8323","312","76","-1620","4842","3270","11072","1056","-19024","-328","4500","-1960","14410","-486","11284","-7208","-8520","2596","-11984","-96","-3186","3116","2871","1120","-7080","-1656","-18701","5676","-3582","-4198","21888","-1080","7018","-5800","-13581","3000","-14238","1782","16965","512","513","11072","-8646","3444","-11165","-6960","11358","7216","-12992","-2124","-9070","-5100","-180","4146","1890","1392","-2167","-11836","-2700","1140","-656","7812","14410","1056","-6282","2964","3422","1188","-2473","-14536","1050","864","14256","-7380","-11282","8492","-8109","232","2242","-2400","780","-9166","7656","9108","23975","1260","23534","2640","2349","11524","17892","-4620","12430","7818","-1215","3776","10778","-1254","8984","9512","4467","-240","-400","576","9539","-8368","-1800","5192","-4140","7860","-15602","-9048","8118","-16296","21789","1416","-1330","6600","870","3712","5474","1566","4455","8940","-12507","-16400","-17748","96","-8972","8610","1188","-11056","5390","3828","-17710","-608","-5310","19822","-31570","972","11557","1200","264","3480","-4473","-4716","1948","-3080","-2700","-9926","19530","3936","-15109","10924","-1653","6808","6264","2970","12653","-416","4104","-1968","-8250","-6456","9676","6844","4248","-1408","-11874","7860","-26783","-6000","-9471","-1026","-24593","648","8700","656","3150","11360","-3261","7776","14025","128","-10179","-11550","-20714","-3828","-30572","-5264","6642","2208","-3135","4176","-11800","4776","-7620","-2904","26129","1440","-9772","-22468","108","18108","12350","6780","19650","-2376","17922","-4060","-8686","-684","-23353","13830","1065","-4592","-44116","6600","-22449","-15144","3915","-6422","-25047","2832","216","4682","-711","240","-16430","4428","-4408","-1856","12705","12732","9570","3600","-15882","-10384","-468","-10416","7000","2430","-26158","8376","-4905","-15978","19079","-1584","-11790","722","492","-1400","472","2940","17275","9840","729","24882","-7749","10812","-26358","-21088","-3894","3200","-3828","144","-1675","-10208","-4674","-16140","26428","-1680","-24585","15232","2484","-3132","19650","-8514","-21328","6160","6297","19352","30404","1620","-16229","11916","8700","1672","-4965","-4500","19440","-5956","-2673","-24764","24600","-768","35275","-9570","-16608","2400","4776","-5166","-280","-10480","10440","15978","-152","-10824","-13688","5400","3186","-1888","-18722","7650","21136","-1160","-6219","1144","16950","-2088","73882","14122","17754","16676","38256","-1710","10395","-128","-11718","-29024","32799","-1584","16500","-11480","-4446","-5104","6189","-1782","-3030","7080","21804","-13456","-31240","-1296","5453","25268","11070","-352","38571","-12738","-14287","6288","-348","9000","23464","3600","-38700","-6072","13749","-5248","-3186","-13662","-13134","2204","-1890","-16536","-21758","-3960","-10465","-3068","-17286","-5472","-49797","6930","7350","8608","-11727","-216","23200","-5664","22770","27030","1881","-10480","-38484","-14268","23653","12628","360","28716","29988","-864","41646","-9068","12552","-4200","1508","-7788","-10824","-10368","-11790","-3800","-21285","13572","-29726","-25532","24444","5104","-28713","-2124","-2771","-8856","-9900","-33422","23000","-5568","-11250","28644","-2349","10160","-7315","-13410","-23034","-1920","24600","7864","-8260","-144","14526","-464","-12915","-9040","3850","16584","42074","-23896","-5742","-27060","6462","912","-8004","8902","-29733","-1420","19125","-1458","24776","-8800","-1800","19238","-38704","-5220","-928","33206","7074","-3776","15022","4620","2242","948","14889","25714","8613","-5904","26285","-3960","-16386","-16940","-18622","-10212","800","-4800","-4455","16646","-3660","624","92742","152","2952","-3240","-30044","9684","16379","6540","-10266","22144","-31845","2112","-24891","-38048","-11790","-656","-6600","9000","-6288","-3920","1539","28820","39028","-972","-34155","22568","-984","-14416","1678","-17040","37758","5192","-11664","-23968","-39972","-192","3190","-6372","17325","6232","-28700","5742","-23672","2240","7896","-14160","-45859","-3312","-36899","-37402","-6264","11352"]},{"label":"114.4.a.e","letter":"e","dim":2,"charpoly":["-3600","-30","1"],"traces":["2","4","-6","8","18","-12","4","16","18","36","60","-24","58","8","-54","32","96","36","38","72","-12","120","-30","-48","218","116","-54","16","-252","-108","-338","64","-180","192","-576","72","-158","76","-174","144","0","-24","-248","240","162","-60","-810","-96","546","436","-288","232","84","-108","1152","32","-114","-504","-504","-216","580","-676","36","128","-396","-360","-140","384","90","-1152","-480","144","616","-316","-654","152","-1104","-348","202","288","162","0","-552","-48","1476","-496","756","480","-924","324","1952","-120","1014","-1620","342","-192","40","1092","540","872","2034","-576","994","464","1728","168","-864","-216","-50","2304","474","64","768","-228","-576","-1008","522","-1008","-1032","-432","362","1160","0","-1352","5220","72","-2066","256","744","-792","3888","-720","76","-280","-486","768","-1296","180","-2192","-2304","2430","-960","-96","288","-4716","1232","-1638","-632","486","-1308","-4190","304","864","-2208","-6408","-696","-3128","404","-252","576","552","324","400","0","-3456","-1104","3588","-96","42","2952","342","-992","-2976","1512","-10580","960","1512","-1848","-3168","648","6502","3904","-1740","-240","-3564","2028","4104","-3240","-108","684","5298","-384","-3560","80","1188","2184","-6714","1080","-1580","1744","420","4068","4392","-1152","9180","1988","-270","928","1140","3456","-3776","336","1440","-1728","-4680","-432","6056","-100","-1848","4608","948","948","-1994","128","1962","1536","-1632","-456","5620","-1152","3312","-2016","-9084","1044","-10656","-2016","-606","-2064","5358","-864","8896","724","-486","2320","2466","0","1102","-2704","1656","10440","11640","144","-1512","-4132","-4428","512","9204","1488","3968","-1584","-2268","7776","1254","-1440","-11484","152","2772","-560","-6024","-972","-1076","1536","-5856","-2592","17556","360","4612","-4384","-3042","-4608","7128","4860","7096","-1920","-1026","-192","-18360","576","-3994","-9432","-120","2464","-9888","-3276","10152","-1264","-1620","972","48","-2616","4400","-8380","-6102","608","-8244","1728","10444","-4416","-2982","-12816","-1914","-1392","11344","-6256","-5184","808","576","-504","-12456","1152","2592","1104","1824","648","-10202","800","150","0","5112","-6912","6988","-2208","-1422","7176","6696","-192","-6908","84","-2304","5904","-16872","684","4616","-1984","1728","-5952","10692","3024","6016","-21160","-1566","1920","636","3024","10368","-3696","3096","-6336","2418","1296","722","13004","-1086","7808","9828","-3480","-4892","-480","0","-7128","24648","4056","8194","8208","-15660","-6480","36","-216","-23684","1368","6198","10596","7920","-768","-27072","-7120","-2232","160","-342","2376","-2052","4368","-11664","-13428","13752","2160","8392","-3160","-228","3488","-13248","840","296","8136","1458","8784","-9024","-2304","3640","18360","3888","3976","-30384","-540","-11088","1856","6576","2280","15204","6912","6106","-7552","-7290","672","21480","2880","28088","-3456","288","-9360","-204","-864","-23144","12112","14148","-200","-570","-3696","-4946","9216","4914","1896","-5868","1896","-7092","-3988","-1458","256","10116","3924","18360","3072","12570","-3264","-2016","-912","12172","11240","-2592","-2304","-4146","6624","-16988","-4032","19224","-18168","4752","2088","-16192","-21312","9384","-4032","-12336","-1212","4142","-4128","756","10716","32634","-1728","1844","17792","-1656","1448","-34524","-972","3010","4640","-1200","4932","23904","0","-16992","2204","10368","-5408","-30336","3312","5728","20880","-10764","23280","-1842","288","1476","-3024","-126","-8264","-2064","-8856","-7336","1024","-1026","18408","-9720","2976","-31032","7936","8928","-3168","972","-4536","4684","15552","31740","2508","-22956","-2880","-23578","-22968","-4536","304","-27540","5544","-6552","-1120","9504","-12048","11484","-1944","36040","-2152","-19506","3072","-6876","-11712","-20228","-5184","5220","35112","-4788","720","-23464","9224","10692","-8768","-32802","-6084","152","-9216","-12312","14256","9768","9720","28332","14192","324","-3840","708","-2052","112","-384","-15894","-36720","-8778","1152","13828","-7988","10680","-18864","11136","-240","-21960","4928","-3564","-19776","-32100","-6552","-6422","20304","20142","-2528","1164","-3240","-37440","1944","4740","96","-6348","-5232","-4748","8800","-1260","-16760","39978","-12204","-3038","1216","-13176","-16488","-13392","3456","-41216","20888","-27540","-8832","14316","-5964","3208","-25632","810","-3828","-4296","-2784","64406","22688","-3420","-12512","-11868","-10368","12208","1616","11328","1152","17208","-1008","23178","-24912","-4320","2304","26796","5184","-8384","2208","14040","3648","882","1296","14256","-20404","-18168","1600","28614","300","37440","0","5544","10224","21528","-13824","26770","13976","-2844","-4416","-10944","-2844","6228","14352","5982","13392","-9528","-384","48424","-13816","-5886","168","-84","-4608","69848","11808","4896","-33744","-26208","1368","18324","9232","-16860","-3968","39156","3456","51304","-11904","-9936","21384","-11160","6048","18360","12032","27252","-42320","31722","-3132","-3002","3840","31968","1272","37728","6048","18940","20736","1818","-7392","8436","6192","-10656","-12672","-16074","4836","-4242","2592","39320","1444","-26688","26008","-71532","-2172","-20480","15616","1458","19656","-16800","-6960","19840","-9784","-7398","-960","11712","0","-35744","-14256","-3306","49296","-1476","8112","-17964","16388","-4968","16416","-4176","-31320","24826","-12960","-34920","72","-7416","-432","-30416","-47368","4536","2736","-47688","12396","12752","21192","13284","15840","-58680","-1536","-39920","-54144","-27612","-14240","-2472","-4464","-97430","320","-11904","-684","0","4752","14976","-4104","6804","8736","18972","-23328","25384","-26856","-3762","27504","-41304","4320","57212","16784","34452","-6320","-13848","-456","-45612","6976","-8316","-26496","27048","1680","13536","592","18072","16272","-32616","2916","7348","17568","3228","-18048","9720","-4608","-4712","7280","17568","36720","32922","7776","-25088","7952","-52668","-60768","-8736","-1080","-56930","-22176","-13836","3712","21312","13152","41472","4560","9126","30408","-14244","13824","2558","12212","-21384","-15104","-52866","-14580","-72716","1344","-21288","42960","4512","5760","39820","56176","3078","-6912","6060","576","-52880","-18720","55080","-408","4716","-1728","25236","-46288","11982","24224","29928","28296","-27928","-400","360","-1140","-78912","-7392","39802","-9892","29664","18432","-6300","9828","-21704","3792","-30456","-11736","-1812","3792","-75736","-14184","4860","-7976","-15390","-2916","-49320","512","-144","20232","69516","7848","-20448","36720","-13200","6144","55764","25140","76396","-6528","18306","-4032","-21036","-1824","-28800","24344","24732","22480","2880","-5184","-9824","-4608","-31332","-8292","-57984","13248","-55778","-33976","8946","-8064","54624","38448","10374","-36336","5742","9504","84672","4176","-95216","-32384","-34032","-42624","77928","18768","-9180","-8064","15552","-24672","-5064","-2424","5012","8284","-1728","-8256","4128","1512","98784","21432","37368","65268","-62568","-3456","34566","3688","-7776","35584","-27756","-3312","21964","2896","-5472","-69048","56832","-1944","-21520","6020","30606","9280","5376","-2400","-25272","9864","-450","47808","86232","0","-80316","-33984","-15336","4408","6168","20736","-40874","-10816","-20964","-60672","-49104","6624","8968","11456","4266","41760"]},{"label":"114.4.a.f","letter":"f","dim":2,"charpoly":["88","-38","1"],"traces":["2","4","6","8","11","12","9","16","18","22","-1","24","16","18","33","32","9","36","-38","44","27","-2","-4","48","-53","32","54","36","-20","66","-238","64","-3","18","-87","72","-262","-76","48","88","-122","54","-427","-4","99","-8","125","96","-509","-106","27","64","140","108","-961","72","-114","-40","96","132","-551","-476","81","128","634","-6","-912","36","-12","-174","704","144","-321","-524","-159","-152","951","96","-512","176","162","-244","1188","108","459","-854","-60","-8","1776","198","-474","-16","-714","250","-209","192","1772","-1018","-9","-212","2132","54","942","128","-261","280","1022","216","1506","-1922","-786","144","2108","-228","524","-80","144","192","-369","264","4027","-1102","-366","-952","-165","162","930","256","-1281","1268","-2511","-12","-171","-1824","297","72","1753","-24","1473","-348","375","1408","-3830","288","982","-642","-1527","-1048","-3279","-318","-1016","-304","81","1902","-4858","192","1940","-1024","420","352","-564","324","-3788","-488","-2883","2376","-5982","216","-2082","918","-342","-1708","1752","-120","-1740","-16","288","3552","-3366","396","-772","-948","-1653","-32","-76","-1428","-2871","500","243","-418","-1709","384","1122","3544","1902","-2036","7664","-18","-2447","-424","-2736","4264","-1182","108","-6404","1884","-36","256","19","-522","9156","560","2112","2044","1337","432","2478","3012","-963","-3844","1710","-1572","2752","288","-477","4216","8614","-456","-749","1048","2853","-160","8379","288","6557","384","-1536","-738","-5937","528","2150","8054","486","-2204","-4028","-732","-304","-1904","3564","-330","8561","324","-3820","1860","1377","512","-1306","-2562","-2544","2536","-180","-5022","-7635","-24","4046","-342","5328","-3648","2388","594","7388","144","-1422","3506","-10484","-48","-14209","2946","-2142","-696","-296","750","561","2816","-627","-7660","5184","576","-8557","1964","5316","-1284","-8754","-3054","-7116","-2096","-27","-6558","2152","-636","-5607","-2032","6396","-608","-3713","162","6348","3804","2826","-9716","2641","384","-14288","3880","-783","-2048","5850","840","-7634","704","3066","-1128","-171","648","5582","-7576","4518","-976","-5307","-5766","10852","4752","-2358","-11964","-12660","432","8864","-4164","6324","1836","24962","-684","-4149","-3416","1572","3504","9745","-240","-2989","-3480","432","-32","-8712","576","12608","7104","-1107","-6732","-8745","792","722","-1544","12081","-1896","9","-3306","-400","-64","-1098","-152","-2646","-2856","-10646","-5742","-495","1000","4208","486","19410","-836","2790","-3418","-16598","768","999","2244","-3843","7088","-22893","3804","1620","-4072","-7533","15328","11380","-36","-2045","-4894","-513","-848","1966","-5472","-16100","8528","891","-2364","-9424","216","8876","-12808","5259","3768","8076","-72","-4932","512","4419","38","-17820","-1044","10492","18312","1125","1120","4266","4224","-1797","4088","-11490","2674","6486","864","-11804","4956","2946","6024","76","-1926","18070","-7688","-4581","3420","1573","-3144","9222","5504","-9837","576","898","-954","40192","8432","-3048","17228","-1242","-912","-1763","-1498","243","2096","21617","5706","-5653","-320","-14574","16758","22213","576","3540","13114","5820","768","-25585","-3072","1007","-1476","1260","-11874","4936","1056","3364","4300","-1692","16108","8654","972","-16336","-4408","-11364","-8056","9968","-1464","3186","-608","-8649","-3808","-5568","7128","5615","-660","-17946","17122","-28584","648","5174","-7640","-6246","3720","12348","2754","-3219","1024","-1026","-2612","-6","-5124","-41149","-5088","5256","5072","4886","-360","-266","-10044","-5220","-15270","-11718","-48","-22142","8092","864","-684","-23908","10656","22274","-7296","-10098","4776","8854","1188","-8411","14776","-2316","288","-2364","-2844","-9046","7012","-4959","-20968","380","-96","-16500","-28418","-228","5892","18829","-4284","11326","-1392","-8613","-592","-11904","1500","20330","1122","729","5632","-536","-1254","1228","-15320","-5127","10368","6112","1152","1837","-17114","3366","3928","16812","10632","-23002","-2568","5706","-17508","-12519","-6108","4522","-14232","22992","-4192","18388","-54","-801","-13116","-7341","4304","-38580","-1272","2438","-11214","-8208","-4064","23104","12792","1174","-1216","-3546","-7426","24478","324","-16813","12696","-19212","7608","-27939","5652","45080","-19432","-108","5282","8538","768","-6704","-28576","57","7760","2916","-1566","-26243","-4096","27468","11700","3750","1680","-8986","-15268","6336","1408","-6372","6132","-36139","-2256","4011","-342","6779","1296","53460","11164","7434","-15152","22329","9036","-1935","-1952","-2889","-10614","12794","-11532","-466","21704","5130","9504","1653","-4716","4408","-23928","8256","-25320","5053","864","-1946","17728","-1431","-8328","45160","12648","9066","3672","25842","49924","-2306","-1368","27523","-8298","-2247","-6832","14224","3144","18651","7008","8559","19490","45093","-480","-17748","-5978","25137","-6960","9788","864","4978","-64","19671","-17424","16146","1152","-588","25216","-4608","14208","-13720","-2214","-28982","-13464","-17811","-17490","16723","1584","9426","1444","6450","-3088","12542","24162","-53605","-3792","1458","18","9135","-6612","24888","-800","-12084","-128","53964","-2196","4969","-304","-912","-5292","-17308","-5712","-42741","-21292","10692","-11484","-12054","-990","-14012","2000","25683","8416","-51452","972","-41143","38820","-11460","-1672","14961","5580","17424","-6836","4131","-33196","-29808","1536","23909","1998","-3918","4488","37458","-7686","-32732","14176","-7632","-45786","2318","7608","-61504","3240","-540","-8144","-1342","-15066","5780","30656","-22905","22760","750","-72","-7138","-4090","12138","-9788","-11190","-1026","18171","-1696","15984","3932","-12261","-10944","-372","-32200","7164","17056","-9165","1782","3774","-4728","22164","-18848","-29024","432","8113","17752","-4266","-25616","24225","10518","-72479","7536","-31452","16152","-43900","-144","52518","-9864","-42627","1024","-5976","8838","-30990","76","-6426","-35640","-15118","-2088","-39842","20984","-888","36624","-2715","2250","17166","2240","1683","8532","5984","8448","-28992","-3594","-1881","8176","-30966","-22980","-34615","5348","15552","12972","-26052","1728","48402","-23608","-25671","9912","-99116","5892","-37872","12048","15948","152","11679","-3852","60260","36140","-26262","-15376","-37755","-9162","47561","6840","-21348","3146","28192","-6288","5550","18444","-81","11008","-2375","-19674","-36258","1152","6456","1796","-26012","-1908","10458","80384","-16821","16864","51446","-6096","-21338","34456","19188","-2484","-29538","-1824","79668","-3526","-11139","-2996","-23175","486","56944","4192","19044","43234","40576","11412","21958","-11306","8478","-640","-48232","-29148","9671","33516","7923","44426","-20295","1152","-38249","7080","-42864","26228","19252","11640","-22688","1536","-2349","-51170","43932","-6144","4530","2014","17550","-2952","-19966","2520","34963","-23748","-22902","9872","-9993","2112","61014","6728","9198","8600","15180","-3384","11040","32216","-513","17308","41288","1944","-30363","-32672","16746","-8816","-29332","-22728","2934","-16112","13554","19936","-66924","-2928","36146","6372","-15921","-1216","15596","-17298","72404","-7616","32556","-11136","-60551","14256","57419","11230","-7074","-1320"]}],"seconds":0.127,"computed":"atlas","estimate":{"seconds":0.376,"low":0.229,"high":0.65,"bytes":1983642}}