{"label":"155.4.a","level":155,"weight":4,"dims":{"new":30,"cusp":46,"eisenstein":4,"modsym":96},"old":[[5,1,2],[31,7,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 31, 155]: [1, 3, 9, 50] (certified at ell = 2147482921)","T = [(2, 1), (3, 1)]; h of degree 30 = 1 x 30 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"155.4.a.a","letter":"a","dim":1,"charpoly":["-3","1"],"traces":["1","1","2","-7","-5","2","16","-15","-23","-5","2","-14","-48","16","-10","41","-94","-23","-140","35","32","2","-68","-30","25","-48","-100","-112","300","-10","31","161","4","-94","-80","161","296","-140","-96","75","-138","32","-318","-14","115","-68","-224","82","-87","25","-188","336","312","-100","-10","-240","-280","300","160","70","-128","31","-368","-167","240","4","716","658","-136","-80","912","345","182","296","50","980","32","-96","-180","-205","421","-138","-1418","-224","470","-318","600","-30","-1190","115","-768","476","62","-224","700","322","126","-87","-46","-175","-1078","-188","1352","720","-160","312","-224","700","-2090","-10","592","656","942","-280","340","-2100","1104","160","-1504","150","-1327","-128","-276","-217","-125","-368","-1984","-1455","-636","240","2092","-28","-2240","716","500","1410","1746","-136","-990","560","-448","912","-96","-943","-1500","182","-174","-2072","570","50","-3468","2100","2162","32","-155","672","686","-180","624","-805","-1088","421","-1168","966","-20","-1418","556","-480","107","470","3220","2226","-2778","600","400","82","320","-1190","-610","-805","-2808","-768","-256","1020","-1480","62","-188","1568","-1600","700","1672","-334","-3198","126","480","609","2936","-46","-1040","-375","1432","-1078","4800","1316","690","1352","1564","-1968","-280","-160","-3688","-2184","1824","-224","1590","1500","496","-2090","364","70","4512","592","4552","2576","-575","942","-2144","1960","-2700","340","64","-4500","5142","1104","1120","-1120","-360","-1504","5020","-410","5102","-1327","3542","896","435","-276","6720","-465","-2836","-125","-898","2576","-136","-1984","940","-119","-5334","-636","4736","-1680","-6900","2092","792","-60","-1560","-2240","-2380","-5012","6720","500","-2788","-3854","-1536","1746","50","952","-304","-990","-713","1200","2202","-448","6352","-6384","1400","-96","-2208","-3703","3923","-1500","252","-1274","-58","-174","-800","-4440","-200","570","3264","-350","-5088","-3468","-2156","-5740","640","2162","-9464","-224","2704","-155","-2088","1440","-1718","686","1840","1260","-4134","624","600","835","-448","-1088","13160","-2947","-1200","-1168","-4180","2070","-3584","-20","-958","9926","-6808","556","-3580","1312","-9314","107","1884","-3290","62","3220","-6880","4770","680","-2778","-4374","-4200","-10430","400","4800","322","8302","320","-4560","8330","-3008","-610","7160","-1725","12741","-2808","-2654","5376","-910","-256","4996","-2788","3174","-1480","4992","-434","9662","-188","-250","3360","-14400","-1600","-3800","-4900","-3968","1672","2592","-2910","-160","-3198","7314","-882","1420","480","6392","1305","4184","2936","900","322","2666","-1040","-4480","1025","-5738","1432","-1488","7546","-2105","4800","592","2820","5430","690","3492","-9464","2560","1564","7090","-7728","-1980","-280","-6640","1120","-9678","-3688","5152","-4680","-2350","1824","-2048","1568","-192","1590","-8968","-4100","-3078","496","-3000","14630","9520","364","12840","150","2001","4512","11452","-4144","5950","4552","1140","-2672","-9290","-575","-276","-6594","-6936","-2144","3840","4200","5026","-2700","9400","-2380","-6408","64","-7228","12300","-310","5142","-3104","-7728","11456","1120","1372","-2400","-636","-360","-3500","10528","-7176","5020","-1960","-1610","-14208","5102","-2176","9289","-630","3542","-2224","1920","-2336","435","14082","1932","-28200","6720","230","1271","14592","-2836","12970","875","1112","-898","11952","5520","5390","-136","214","13888","-19240","940","2912","11521","14000","-5334","-6760","4452","-448","4736","-5556","-3600","-18198","-6900","-8138","-14644","800","792","-2914","164","-7543","-1560","-3680","15680","6624","-2380","1120","-10740","-1220","6720","-174","-3500","-20018","-2788","-5616","-15134","10450","-1536","-10504","-12222","2944","50","-42000","2040","-2880","-304","-2960","6930","8296","-713","15264","-3280","-376","2202","20052","3136","-4710","6352","6736","-13680","1830","1400","-4778","672","3344","-2208","-1700","3841","13246","3923","-6396","10500","-22688","252","624","-2730","-5520","-58","18126","1218","-4340","-800","5872","12136","5022","-200","7520","-3990","-2080","3264","-14960","-750","8402","-5088","-16468","24276","6635","-2156","3896","-22540","9600","640","10752","-15134","13492","-9464","1380","-480","-24854","2704","-370","1085","6800","-2088","-19040","-3936","625","-1718","-560","-4802","-27824","1840","692","2700","-7376","-4134","9920","-4368","4176","600","-20976","7275","10222","-448","11182","7616","3180","13160","5096","-6315","320","-1200","992","8176","-7118","-4180","-10460","-5658","-4186","-3584","-20460","140","-6098","-958","9024","21270","11200","-6808","-20400","-3892","9104","-3580","-256","5152","33442","-9314","-2500","-749","10336","1884","2016","-7050","-4288","62","4952","-22540","-8730","-6880","-5400","-13038","-14976","680","-6348","19446","-736","-4374","4950","-9000","12972","-10430","10284","-2800","18342","4800","-41440","-334","2240","8302","-17248","-2240","-12240","-4560","4140","17850","-2108","-3008","480","4270","10040","7160","5920","4715","21632","12741","10204","19656","7500","-2654","10536","11520","-4283","-910","29892","1792","922","4996","870","-10948","1432","3174","23770","10360","13440","4992","19752","-930","-2850","9662","32614","1316","-3584","-250","7072","-9184","-1796","-14400","17340","11200","7756","-3800","-272","-10500","-18618","-3968","-33440","-11704","-10810","2592","-7680","-238","-37250","-160","-10668","22386","9732","7314","775","-1890","9472","1420","19320","-3360","1824","6392","-30000","-3567","-3430","4184","24166","-20552","1584","900","15072","690","6144","2666","-3120","7280","-7224","-4480","21056","4025","27370","-5738","364","-10024","5440","-1488","13440","16170","24870","-2105","-16528","-33600","-5576","592","5840","-7708","44520","5430","17664","-4830","-30108","3492","26272","-20280","100","2560","-33774","-10948","-28000","7090","-608","8016","8178","-1980","-2780","1960","-3100","-6640","-10800","2400","65611","-9678","4404","25816","-535","5152","-21232","12792","12704","-2350","-20128","-12768","-8678","-2048","-16100","3360","2826","-192","-31190","-11130","-4416","-8968","-1048","-16100","13890","-3078","7846","-3472","-360","-3000","-34368","31350","-2898","9520","-2000","-2548","-42534","12840","-116","-410","-9958","2001","21622","-31584","-1600","11452","-20064","-8880","-31744","5950","842","-31864","31360","1140","3050","-23280","6528","-9290","9300","4025","-29328","-276","-10176","-14130","14040","-6936","1416","15008","24794","3840","-50168","-11480","-2836","5026","1280","18900","33472","9400","49880","-5100","-18928","-6408","-43776","-448","7400","-7228","-31096","48300","6670","-310","12180","-35994","-4176","-3104","940","-16560","-23934","11456","-3436","-7840","38292","1372","9384","6560","8000","-636","-3054","2520","-8736","-3500","-8268","22560","-17358","-7176","-8360","-35140","1200","-1960","27936","1670","961","-14208","5152","-35714","15990","-2176","-21144","19905","26320","-630","17292","-24794","-15840","-2224","-2400","-5248","48066","-2336","-2380","-3045","48070","14082","39352","4140","-14680","-28200","-7168","-47040","21624","230","32632","4991","-1916","14592","5200","19852","-46674","12970","-29600","1875"]},{"label":"155.4.a.b","letter":"b","dim":4,"charpoly":["507","74","-76","2","1"],"traces":["4","2","-4","6","-20","-18","-24","30","46","-10","-82","-118","-50","-128","20","-166","26","-130","-86","-30","-212","-62","24","-54","100","94","146","16","-334","90","124","-298","-356","-436","120","42","-640","112","-536","-150","-34","860","-436","-18","-230","840","1060","646","-292","50","214","322","228","-132","410","400","1730","-278","-174","590","-814","62","168","530","250","1908","-512","-964","-1964","640","-838","2022","674","238","-100","-1120","1452","892","-112","830","-1532","696","-84","1092","-130","2282","-268","-1422","-692","650","996","2392","-124","-1032","430","-206","-756","-934","-2374","150","-658","4252","-3800","-1130","1060","178","1844","620","-1626","310","490","-64","448","-1732","-120","390","-1946","-4176","1160","270","-772","2038","686","186","-500","376","1356","-1290","-1138","-470","-6662","4204","-3392","-2628","-730","-1376","798","-3716","-3194","-80","80","2748","3440","-814","1670","-5632","164","26","-7654","-450","-2408","-2556","-1900","-748","-620","1924","-8212","988","594","1490","424","962","1156","-1528","1780","3754","1154","-4148","-5332","2180","-1904","2862","5788","-944","-600","718","5338","-6452","3494","-210","-3438","-2036","4632","632","3200","-558","3640","1096","232","-560","5396","5886","2496","144","2680","-1842","3794","1654","7536","750","-3660","-448","3652","5892","170","6920","-96","-310","-3184","-4300","2080","2822","-5482","-12672","2180","5376","-744","6924","11770","90","316","-1728","2002","5392","1150","4800","14672","2860","-5262","-4200","3680","2434","-4608","3826","-5300","-5840","2012","-2864","3920","-3230","-19368","-5438","5858","-3638","1460","6468","-4548","930","20350","-250","12526","952","732","5876","-1070","-3598","-2608","-8764","1908","-1610","1898","-12176","16490","-10140","-1140","10024","3932","-3164","-6334","660","5992","-4384","6240","-164","-2050","-8076","-10468","17102","1426","-2000","-4414","-9068","432","6612","-8650","-6880","-3952","-10426","-2738","1390","23172","-12888","1364","9590","870","-4078","-6536","-8012","6468","-2950","-4236","-14772","3610","9164","4070","-13552","-18584","-628","-4608","-310","-6478","-11852","11090","7020","-840","4420","-4856","-19952","3580","-2650","11004","-7944","-538","-10074","-1250","8428","-12914","-15116","-2392","-9540","-15830","-10738","-6082","6036","2560","9268","2294","-10626","15280","4820","-2542","-2516","13392","-9954","9820","7684","1150","3600","-7146","-3200","-4052","18514","3112","4348","4190","-6540","-15896","-17894","-11236","-10110","-4314","-17422","26992","-4268","-3370","1520","2498","-3336","-18328","-1190","-3268","-3658","308","9256","500","24672","3268","-1264","14434","5600","-22540","8420","25022","27906","-7260","-4380","-12814","-12384","8990","-4460","-19424","-4650","6602","24858","560","5994","-24452","-216","5000","-4150","14128","35168","-1550","-7008","7660","12684","8944","-4784","1444","-3480","-13638","5672","7072","21264","420","9894","-18488","17552","5110","-5460","366","-1320","33328","21718","650","-8676","-12532","-25344","27884","-11410","-18574","-3584","17156","-3968","1340","14420","-17048","12172","-15954","7110","-7306","-3440","-13052","12432","3460","-1320","5450","-256","12036","-3250","12400","6272","-2012","26124","-4980","30816","-7676","20482","-8822","-11960","-12522","-16832","17640","15726","620","43080","-29888","10894","20904","5160","24004","21188","6460","-35480","-2150","13456","29106","-22780","-4416","1030","7468","-5432","25544","-14922","3780","17502","21862","-32202","-50208","4670","-28566","16964","-15924","7896","11870","-5146","5000","-33484","4122","-750","-21942","18526","23236","-18056","3290","-33180","35632","13036","-730","-21260","-5056","7622","-8242","11188","19000","204","-36916","22404","-32828","5650","-4430","20830","-3852","-18368","-5300","21104","806","44","-5284","-890","27840","7640","7524","13820","-9220","-13580","-13868","-326","15046","-3100","-22004","17548","-5292","32312","8130","-8624","-2116","14156","-37546","-1550","-2844","-28948","-7304","-54958","-2450","30130","-4694","-4030","13888","320","-20800","65776","-24784","-43188","-2240","-25828","-14256","-8152","1128","8660","6078","-17296","-67572","-9912","600","-5134","-12148","26154","-17232","-1950","-55212","-40656","-34008","17228","9730","-2920","-9898","20226","-2666","20880","-39896","30030","28984","-2712","-5800","-8580","10528","-7844","12140","-1350","-15004","6340","-24020","-8188","3860","24208","26476","-2500","19624","-10190","-28132","-9808","-67376","-48456","-3430","26516","22020","-272","6962","-930","8608","69028","22096","6044","2500","-22572","-30968","-25004","-20830","-1880","42028","28436","-16968","18616","-6780","-39376","6838","-1804","-14740","6450","-40944","82528","-3000","-27608","5690","53708","-43718","-50130","-17232","2350","-6572","49652","19140","-13400","33310","-6564","28952","-13976","-44262","-21020","27066","6558","1228","-31810","16960","33574","14612","19076","2414","13140","18748","-6036","-38450","-39792","3650","-29078","-17408","-109680","-42384","6880","36660","-1922","59104","-21820","-3990","47040","444","20114","-20620","18580","19286","20332","39924","51618","15970","4552","33402","-65036","7224","400","-51824","8944","15998","4750","-400","-30076","-1480","5820","-16558","-13740","38876","30316","744","-5280","-17200","-23770","99300","34756","35552","4070","4336","-49210","28148","-19538","-8350","-50094","3688","21420","-50900","28160","-40550","38544","33784","-77148","-820","-28936","55376","-18564","9454","-130","-21060","20252","33758","-1674","38270","-21448","-20430","29992","17616","2250","23428","-32080","11976","-3964","12040","-3120","-22688","39584","82736","12780","20032","39004","7888","57292","9500","93336","-30612","-54066","15906","3740","-29368","8412","85554","52466","3100","24","50696","5822","20238","-9620","22240","-79184","5564","4418","41060","71684","82474","46086","-65266","-4940","-52448","-53418","10204","45256","-2970","2360","22610","-57424","-14620","-7450","35236","-1992","-36536","56432","-2120","2914","95228","-34084","32700","-4810","28790","-10380","-85332","32","-5780","5664","13086","10304","33420","7640","20334","-17708","-17546","-70728","-8900","45288","-36012","43264","-9030","-18770","-71126","-21286","27370","-68044","-5770","33280","4526","-22320","-37426","20740","-46724","-49196","-81634","-7288","26660","-31896","-27600","14218","-17780","-10900","15580","1404","-46300","25332","9520","4392","68956","-45964","32350","-14310","8504","14056","83874","-34760","-28940","-10544","-61038","496","-49832","4720","33352","-29712","18288","-39128","3000","10084","14840","-16544","92656","-3590","28824","-10762","-30188","-3808","-26690","-21904","-94444","13796","13440","32260","37346","10912","-28652","23872","-17470","-50640","43680","-45840","-10354","1050","-73030","3696","91056","59712","17190","46824","-18336","10516","-42616","10180","-3344","-79520","-62388","-86792","-23160","15390","75472","-52388","15838","-3160","173984","-148758","34372","-56736","-16000","-71168","-97640","-4750","56808","2790","-246","2792","-29002","-8552","-18200","-47774","-26868","-25528","-25674","-5480","33998","45236","-28440","25836","-1160","-42956","-28972","-54200","-61852","2800","-46652","66208","12390","34594","-26980","-96340","31108","39904","23144","-29430","3844","-11168","8432","-27288","-12480","29560","-64532","53262","18586","-720","-28966","66482","-12268","-102616","-13400","37626","-6100","-39600","-2092","9210","-47052","-108946","-81972","-18800","-18970","-19360","-88104","13320","64556","-8270","-2104","-9238","50796","1232","-37680","124","19896","143642","-15878","-3750"]},{"label":"155.4.a.c","letter":"c","dim":6,"charpoly":["-484","-1219","-969","-252","20","15","1"],"traces":["6","-3","-12","11","30","-36","-34","-57","36","-15","-16","74","-240","-12","-60","83","-218","-45","-2","55","-280","-20","-262","-426","150","4","-522","-448","-296","-180","-186","-829","8","-66","-170","-229","-530","58","852","-285","430","984","-284","736","180","-106","-58","1970","706","-75","1570","-1904","-934","2550","-80","1256","-1466","790","1198","370","-1872","93","1178","2043","-1200","-680","150","1920","-472","-60","730","1611","-1734","1606","-300","152","-2316","3364","1216","415","1074","-1916","-352","1220","-1090","5628","-1760","848","276","-225","1948","-2930","372","-1856","-10","410","-2416","4685","-280","275","-2754","-3114","2138","6864","-1400","1290","658","392","-2970","-100","-602","-3952","-2408","2398","-1310","-2450","-4296","-1994","-644","-2130","-2402","-98","946","-341","750","-3024","-6314","-1973","538","20","-110","-1028","-1980","3404","-2610","-8420","-1310","8864","-3516","-2240","4064","-34","-612","-2557","-1480","1150","-2180","-160","526","-900","-2576","6532","-6980","-7492","-930","-6800","-2248","104","-250","-4145","4800","-9735","1430","10486","40","120","644","4940","6266","-330","10372","-10178","192","5656","-850","-1264","382","-10386","7468","-1145","2352","372","11088","5006","-2650","1116","-712","8724","-220","290","10604","-2166","-3972","-6054","4260","611","-3228","2812","-3960","-1425","768","8472","5240","3756","2150","-11568","15410","-7936","9204","4920","-3076","-8140","-2966","15340","-1420","-4428","1054","-7172","13710","3680","2120","3274","5244","13504","900","-3950","7050","-1384","-10384","-530","17472","10870","-8296","5428","-290","7044","3424","14044","1104","9850","588","18265","-9546","-9442","3530","-18374","-5180","1767","-8854","-375","36","-4624","-9588","-13082","7850","-517","160","-1098","-13464","-9520","10972","-11574","876","-5452","-4670","-21716","13152","5228","1596","12750","5916","18312","6592","-19274","-400","1864","-3126","5520","-1116","6280","-5374","-12584","-14366","-17024","-7330","-5076","12272","-7405","-2076","3950","2324","-2804","4968","-17500","5990","9892","3092","10128","6908","1850","-7744","7984","7398","-12120","-9360","14676","16434","-13484","-11080","465","10190","27192","-4762","-16602","5890","-21472","2060","11298","368","10215","-21524","4280","-15086","-24409","-6000","14688","15786","-39062","2756","-3400","9524","-21374","12472","-25776","750","-26092","3878","-1721","-8276","9600","496","-18236","-11036","-398","-2360","-32858","42478","-8576","-20842","-300","17892","-22168","-25132","-15842","3650","5458","9100","-14576","4956","8055","-6368","-342","-7928","47900","-8670","8296","4236","7038","-16688","8030","5368","-2294","-23384","-7960","-1500","-40228","6652","-4044","-7666","760","14032","10032","-44600","-23774","-11580","8654","-10874","54758","-4056","16820","-1768","-21233","22966","15568","6080","1036","14440","13744","20028","2075","-3676","-13216","7440","-55630","5370","-15692","23568","9832","-4784","-9580","24046","43688","-16244","-40474","-1760","58296","26724","31900","3378","6100","-1534","23792","-14926","63080","-5450","32738","24896","10304","996","28140","28638","-44320","-26188","372","-8800","11962","12776","-4094","17634","4240","-2792","32536","11154","-25936","1380","-26892","6838","22528","-13660","-1125","-14152","-5882","17200","7176","9740","-27020","34316","27054","48682","-14650","23736","49760","-18894","-31234","1860","20402","-6130","22708","-58372","-9280","40208","-608","-25896","12344","-50","-13280","-28036","62848","896","2050","148","-25874","-42216","-10041","-12080","27942","-276","13158","16088","23425","-3252","54760","-6892","-12836","-1400","-2573","-16636","38598","4924","1375","302","15936","-7598","15968","-13770","-11620","-21616","13222","-388","-15570","-13292","34331","-46190","33810","10690","-71372","-14700","-61832","40992","34320","34318","-24278","-15168","69952","-7000","-58116","6758","7820","23266","6450","-27716","-17144","-37256","29712","3290","3804","-31304","-12858","608","1960","-9160","-9396","-32484","2200","-14850","-82080","-27962","31020","-70668","-500","23600","-26536","39816","7082","-3010","-10512","-50876","1395","3236","-19760","8444","-21444","-22094","43692","-12040","-45356","65678","45220","-29544","11990","4624","-46028","5132","87004","-6550","15219","-3508","-42775","-12096","-12250","42312","-38820","39840","-7056","-21480","29814","-28430","-43174","62","-9970","-34692","-22056","-64172","6580","-3220","-16662","-28428","51692","12220","-10650","-45700","-37328","-2994","12864","-12010","50358","-16762","-33304","12752","-490","-20244","16656","-4358","-52468","4730","42660","-40788","-36912","-19756","-1705","-92728","-49770","-30188","-128992","3750","-4578","-40452","81946","4390","-15120","-32596","-18032","60296","76950","-31570","-59848","-65904","13976","49804","-9865","47240","-64964","15052","64424","2690","21066","78392","146595","34012","100","8680","-4488","21424","-3686","-550","60278","-73164","80744","32934","-5140","-36686","-2976","-99436","108758","-9900","-23456","41728","21666","-3174","17020","-34592","-3212","1090","72334","-13050","131065","-60714","58156","-13988","-42100","18816","620","-41586","-31000","-6550","-54968","-14632","-60506","98116","44320","30754","49322","-17220","-34426","-17580","26032","50990","2660","6452","-11200","108832","-169052","70258","-21904","20320","93524","90680","10008","-21424","-170","-23576","-82374","8122","-33212","-3060","-31764","-159228","376","-12292","-12785","59524","41943","6600","14806","-7400","-31376","29078","-85268","136446","5750","22766","-29992","-45508","-54416","-10900","74686","72000","48058","-49504","-800","79396","-77896","-10056","13206","2630","91118","16514","-9132","34020","-4500","2320","96916","86040","-43660","-12880","12344","-59534","6550","26088","32660","3600","52744","51952","87360","-34900","-22636","-16580","51578","44382","-37460","-56132","24058","71112","1782","-4650","-118258","92772","10114","-74482","-34000","-9116","44496","-6512","-33077","-11240","-107202","-14690","-86596","13434","520","64124","-17740","143252","25458","-1250","-62916","-3892","112540","74604","-20725","79896","55450","-1872","-66520","24000","-124","37224","91254","63240","-48675","62614","32244","-1368","98896","7150","5676","-45294","-127130","-47228","52430","23116","27346","-9088","-125848","200","-22100","-36704","-46010","36224","600","41094","-103232","4222","-9444","3220","5232","16182","-55070","36670","24700","-95574","3364","59354","-15064","31330","33316","36022","-150052","112876","-1650","56396","-40136","-54088","96636","51860","-21080","-19260","63588","-100424","-50890","-50260","-49358","1212","121616","960","94828","-72714","13888","-137320","28280","-36632","-17418","56108","-100224","-4250","-50372","-52224","-66130","-120828","-6320","127896","9467","-18256","-95428","1910","-6000","60658","5452","77120","-51930","-3244","39586","-66572","-36594","37340","59056","12608","-42742","9176","-5725","-45986","-92152","11420","16654","11760","-83792","58758","-28704","-88368","1860","-96652","-1536","7376","472","55440","-149130","-17524","-87570","-6670","25030","4452","15130","14460","3400","-13250","5830","77834","67990","-29872","5580","198","-48746","41426","-65120","-3560","-140292","-34332","-163272","-60766","43620","50632","-92856","-107252","-764","-1100","12472","4256","2000","103880","1450","-38764","13240","14362","64932","53020","-44444","788","99096","-70004","-10830","5766","-68012","-25994","-106398","-19860","-78424","-38410","-7661","155698","-30270","15966","80702","-113652","108388","21300","-7026","-7460","-55656","-69992","3055","-91644","42304","-71998","-38900","-16140","50460","-53896","12568","75840","14060","-31808","25699","95492","-85700","-19800","-46484","-130904","-26600","-3926","-7125"]},{"label":"155.4.a.d","letter":"d","dim":9,"charpoly":["12048357","9335981","-243820","-847524","-22774","25246","592","-280","-3","1"],"traces":["9","-1","4","39","-45","20","20","-33","175","5","4","282","188","-56","-20","467","-86","-189","150","-195","340","316","-182","530","225","416","310","240","442","-100","-279","-605","376","246","-100","1727","114","812","1628","165","52","-2560","148","-1292","-875","-330","-156","1354","2193","-25","-94","-104","470","-3914","-20","-4228","-2398","-1950","302","-1410","2362","31","1996","859","-940","-2788","-540","-6156","-1380","280","-290","-5845","2870","3218","100","-28","-760","-1656","2768","-2335","213","-4534","-84","2924","430","756","-1128","3296","1086","945","1144","-6870","-124","2444","-750","-1422","-1450","2811","96","975","1668","-6404","2112","7732","-1700","-1158","-1728","9120","1096","-1580","1162","-4380","-1190","4022","910","1854","1556","6452","4540","-2650","2541","-8010","1758","-1209","-1125","-11144","1162","4427","4854","-2080","1998","1420","3352","1140","-1550","-2344","-2538","2300","7508","-1200","11500","8620","4016","15043","-2210","3050","3604","4228","-544","500","1296","3456","3616","5412","1395","15348","10410","1244","-3542","3025","4376","-19801","-4640","7434","-1880","7576","-6316","-22624","5811","-1230","-8168","-3994","74","-10960","500","-10072","-738","-1706","-8196","-8635","16346","-21236","-14716","2982","-570","-620","7328","1344","17708","-4060","-12776","-5846","-13354","3502","-8140","14879","6708","5788","-144","-825","-104","-2710","-11320","-11940","-260","4012","-27010","18452","-8348","12800","-4092","9520","-4202","-8368","-740","-29876","-620","3966","-17490","6460","2940","28512","-6124","-21292","4375","2442","-9756","676","10474","1650","-18896","-3086","-17102","-2280","780","-11856","19020","23156","-14944","-6770","-3706","-10745","3734","10634","-10965","-9266","5944","1023","-10666","125","-10328","44348","9184","3266","470","-13637","-7234","1748","-9628","520","18802","-8712","-16172","-8408","-2350","8296","-16700","20100","4630","19570","-3020","-32576","-19816","-9938","100","-53688","33758","30976","-5425","21140","6148","1152","-10876","-4192","11990","-4420","-920","-7581","12069","9750","688","31100","-8650","-20480","-1510","27920","7248","16970","-10784","7050","21796","13720","-33302","-1916","-11810","17196","-3196","1800","-2160","-155","28974","4912","18718","20178","-9980","2452","2718","25344","-26408","-4295","21524","72972","-22862","2455","4700","2900","-1994","-5710","1128","13940","-2332","32174","-24016","11188","2700","17640","6858","8889","5568","30780","-124","38152","-2624","-662","6900","-11918","27082","72576","8972","-1400","4172","19344","-14608","-36326","1450","7214","19432","9768","3120","29225","2099","9122","-30308","-46512","-14350","-38288","25620","-68546","-21246","-16090","8612","-8742","25054","-35528","-500","36320","7024","-45564","-28746","140","4108","-18388","-1540","21698","3800","-18014","11442","-57958","12658","8280","13496","22655","-19342","-9256","-13840","-33320","17522","-27420","-60228","11675","32498","46796","-5828","-3938","-1065","-72652","56824","-42740","20022","22670","-33226","-30168","-12432","49506","420","27148","-11524","38224","-9302","-14620","4596","-37960","-432","-39616","-2150","-49690","-9680","5876","17848","-3780","-27302","38844","18976","1736","5640","-99850","16564","119136","-6074","-16480","31087","-89548","-36936","-77764","-5430","34568","-24938","-31708","26402","-4725","-20836","-17266","8452","13720","-5720","78432","-36500","-15222","-49970","34350","38402","-47404","-19278","68714","620","-76274","6076","42092","37664","-12220","42504","13592","-59024","-55072","3750","73828","30280","-83020","-55056","7110","16420","6982","-26264","-50901","7250","-113222","11700","-101662","-36272","-14055","22684","-1036","-28116","39808","-480","-14477","9136","113288","-7168","-4875","26446","-31620","-10492","-128164","-8340","-14996","67164","40218","27674","32020","-21684","30315","-21998","14202","-10560","31680","4608","53404","23616","-38660","-5468","-76074","-3556","-2580","8500","57792","2666","114000","21845","5790","82464","-100620","34768","101328","8640","-43968","31088","-8854","69436","-45600","-414","13516","-46200","-18080","-5480","-128236","-1352","-33836","98410","7900","9360","-34300","56392","5582","-5810","-5680","-8892","5859","30388","21900","34268","-76558","-7012","94880","5950","12356","56596","56196","53686","-20110","27012","57448","7352","-97556","-4550","-541","-38086","40673","-32672","-9270","-2260","-37324","-48584","16492","-7780","-28230","35166","251522","-4650","-32260","-4708","-7048","78574","40592","-22700","9046","15760","-73756","43160","13250","54134","-10676","18432","50964","-12705","14290","31784","36932","134560","40050","27928","-171668","4786","-27896","-8790","-112776","-41650","174540","50632","6045","24560","-33164","-57616","217592","5625","47210","-80368","98110","-37554","55720","86636","10384","73520","-51918","-5810","-111576","24580","-13916","8668","-22135","-12534","51056","-53236","32896","-24270","-35122","-164","-147565","101924","10400","-10540","-44720","-16706","10986","-9990","97574","-62580","-30816","-15962","-7100","2876","143224","-35632","-15662","-16760","125004","-79532","-59570","818","-5700","76776","-197672","68746","-115454","7750","2253","33450","-43616","-112976","11720","-40384","-9796","-70228","-28696","12690","9936","744","-2990","9516","-11500","7662","16910","82872","-61778","-37540","-119076","-113734","1150","26744","6000","1542","-74364","6826","38824","-57500","-105460","-45312","147992","-38754","-43100","81064","-2598","5642","246532","-20080","-7860","10740","24248","6444","-75215","-137000","14491","-29852","133758","11050","18664","32868","-175976","41317","-15250","92502","-54292","125510","-117408","-18020","-115170","-208784","-148290","10896","-21140","-76532","-26040","-14572","-16430","2720","122986","-10662","44676","51736","-2500","-46976","-26640","-168052","-1412","-6480","276948","-29594","-39496","-93488","-17280","97110","-1328","-40696","11520","-18080","-61440","3976","8682","41664","-27060","-129076","-250518","-53404","3502","-6975","138002","-271824","114858","53042","-76740","55252","109348","47076","15851","-52050","-12270","106022","-29488","-63438","-6220","-29440","83944","-19024","73422","17710","-94792","89984","-32580","27604","-15125","-35134","-122498","-82040","27668","-21880","-12896","128488","-65382","-109190","99005","4682","97880","-60148","61080","23200","-104248","-12574","44094","-12472","-37170","-57442","-45900","48508","181320","9400","-2652","-37140","-141074","50058","-37880","-38046","10916","-146334","64712","31580","97964","-9610","102616","25390","113120","48143","-18830","4390","12668","-29055","-3696","56604","129136","-100060","6150","62784","231316","58662","-25632","40840","-15932","-77166","80396","-60180","19970","-30100","-141216","-52436","-213044","-370","173852","95154","-7440","18464","54800","-74184","106098","-12878","-98132","-2500","-95816","19646","39068","-252","50360","-70598","-67981","134332","-227636","3690","-47112","54524","365476","-28800","8530","-110292","-254486","-77308","248138","40980","57908","-170336","-82090","-13702","43175","27006","103628","172296","147058","-81730","-74204","84972","-164484","38730","106180","79404","-47240","-79656","106080","73580","30006","55264","185316","37474","-14910","-62732","-89858","133136","-78224","2850","78998","-135144","10578","9862","3100","106446","198998","133882","-133404","-36640","-2908","-1510","-28308","24650","-6720","15818","36568","28568","-68500","-88540","-80768","9340","255908","-89036","20300","-47996","347952","-123154","-10752","63880","70428","68272","70652","36084","29230","8649","233932","-129980","70926","66770","354764","15706","-96741","-137546","-17510","-8870","330174","67096","128952","40700","199042","-16138","31972","-40296","-74395","-61230","121308","-137418","-120204","-33540","24728","133696","32956","-31396","-28940","-72048","18755","8256","-214320","720","-161264","48162","-307892","-53938","4125"]},{"label":"155.4.a.e","letter":"e","dim":10,"charpoly":["-13200704","-30779253","1886739","3451578","-157858","-138888","6896","2394","-138","-15","1"],"traces":["10","9","6","51","50","0","50","87","100","45","-12","-52","150","44","30","195","208","351","230","255","40","44","152","-176","250","154","78","560","156","0","310","535","336","110","250","407","936","130","-936","435","150","-432","-466","-1388","500","-836","334","-1532","-34","225","-830","558","-588","-3296","-60","-932","-106","-2134","-1158","-260","640","279","-938","-1301","750","-1356","1630","-1722","-144","220","-458","2191","1036","-3542","150","2280","792","-5856","124","975","1734","832","-842","-6044","1040","-2484","2004","-4248","-2484","1755","2624","544","186","-2916","1150","-2260","2756","-5651","-1972","1275","1810","1290","2506","-3198","200","2962","5126","-6628","1210","220","766","7716","1100","-6620","760","-2646","8974","-3150","-4312","-880","3910","8090","3326","1581","1250","4352","1332","-4489","190","770","-2310","6584","7308","1008","390","3254","8244","7464","-1136","2800","-1476","4910","3668","-2109","780","-2222","1574","8006","2874","0","-212","12844","7890","-1484","1550","-15456","5064","-3392","-4578","2675","-3192","9881","4602","-4406","1680","4472","-6294","-7400","6262","550","-1768","3936","4680","2640","1250","-8496","-862","-2350","-6324","2035","-6144","4476","372","-412","4680","0","-7084","1740","-9112","650","-11664","-2028","8232","-7942","-4680","-797","-2258","-14348","1744","2175","-9556","12520","-7236","-7416","750","-4204","-24396","-4254","-8104","-2160","4512","-7350","4826","15404","-2330","-21820","1550","-21056","-13066","-6940","-9488","-5142","-4154","5196","2500","15046","-5290","-24924","2244","-4180","-8848","-8762","5724","24262","1670","-3036","-15352","4996","-19692","-7660","7364","-1571","-13288","26630","-170","20252","-10296","2697","-12442","1125","-17024","-12804","7768","-5216","-4150","571","2460","-7462","-1944","2790","920","6030","-10170","18228","-2940","15500","-15140","-1768","7608","-16480","16084","-2878","5912","21302","-300","52012","-2060","-2392","3100","-4660","-10774","-16836","1934","-4828","-530","19584","-21912","4167","8440","-10670","-3188","23362","23956","19324","-5790","7150","-4108","12588","-22144","-1300","-2208","26116","10946","44708","3200","56162","-770","-3824","-7504","1395","-25118","-32588","26996","-12690","-4690","36716","-7352","18354","18812","-6505","-22692","-23132","3990","48803","3750","16424","-28226","-4022","16916","-6780","1852","840","30874","39612","8150","6272","19584","51135","-11120","-8610","-372","-6644","15652","-24","-720","31070","-17492","25480","37818","1100","-23572","-39560","4834","50096","-2290","-1950","-2692","-20944","-17104","10955","-2360","-2018","-9834","41232","5180","31784","-27670","24796","10196","-17710","-49832","-1612","19012","11068","750","-24420","-15200","-42908","10330","11400","31520","-38880","-7178","5604","3960","13314","-38352","-19902","-16232","-29280","-26432","-58641","58390","-28550","620","13136","24180","-1096","9720","4875","-35352","-49576","4650","-834","8670","-22652","-61632","-53312","22252","4160","-586","936","27180","-96232","-4210","-1942","19924","-57464","-6618","-30220","-7882","-10256","19738","4198","5200","72864","-22692","49476","10896","-12420","-26754","-62568","586","1364","10020","-18578","3756","-79358","20010","-21240","-14584","30676","23002","-22652","-12420","13612","-18802","-37884","-5916","8775","-21840","-25370","78152","-15732","13120","-33092","32502","26858","19934","2720","26452","39500","-23160","-55602","930","-45358","-16990","51802","-19084","-14580","23008","-43596","51944","25480","5750","-57700","14362","-80148","15256","-11300","16372","17410","9704","-18085","13780","27040","-15782","87902","25184","-28255","-32052","102288","31996","-20172","-9860","6045","-8868","-43234","-6696","6375","45274","-17140","25554","43036","9050","-21284","-76390","-142624","32256","6450","2984","38119","-40162","-74346","12530","9044","51016","-38508","44232","-15990","15446","-5390","21750","37232","1000","-94132","6448","-63844","26026","14810","-110204","17884","2980","-11712","25630","78844","58280","-117954","-38356","-33140","9056","17796","11800","-17670","6050","4348","-10302","96650","-14288","1100","-18396","160696","-5280","72174","3830","-85900","-4298","10881","1144","38580","19816","-80460","22010","-82664","5500","33804","62474","-70368","-56392","-33100","3224","84972","960","-10984","3800","-24941","59820","-5971","84316","-13230","57048","134228","16072","8726","44870","108650","-29752","-53836","7130","-15750","-5408","13322","3324","56276","-21560","73130","77764","-152316","15008","-4400","-10412","40660","35558","-41988","19550","37256","31066","108076","-50904","40450","-5752","177614","49728","75524","16630","24368","77260","-89868","-33428","7905","58384","32030","60012","-119260","6250","4538","6932","8974","26042","21760","-64328","-1008","-78992","-91898","6660","125088","31598","37336","-22332","-22445","-60092","-1860","75550","61608","950","-30520","21066","92995","-43016","3850","1240","-7028","73672","-49524","-11550","-11918","22126","-94408","4158","32920","-37362","23620","-72968","-12960","36540","72546","16896","-14800","-72042","5040","-62748","57456","-97008","39794","1950","43513","-36992","7356","66732","16270","-162308","1364","-31126","13704","41220","-134712","28468","-130276","-81308","37320","54214","47566","-102184","-125428","-5680","55524","-25790","174020","8456","14000","-9232","-158808","42326","-100256","-7380","72426","23248","59616","-42548","24550","-45992","-61570","4712","-162192","18340","-143900","-63764","-120852","2568","-10545","844","124199","-8204","-205034","3900","82444","44074","-8064","-101078","-11110","-73034","23948","23552","82392","7870","92724","-78856","-110474","-20680","40030","20508","-73736","56134","-5456","14370","-79478","40696","-73572","-34004","0","-14364","-24356","-76944","-35012","-1060","-99444","100876","111998","-35576","64220","-23600","112340","31640","-119756","39450","-23100","-54512","158532","-26218","-7420","46076","117198","-24154","-138780","7750","-182270","-4372","-58682","-84574","-77280","15768","-116172","99848","-7661","25320","61232","-3288","92702","30902","-16960","-70580","36440","-119920","-20266","-22890","31764","33266","30188","113644","13375","-155308","63198","108764","-38596","-15960","4774","-127444","6474","-134128","49405","118138","-38112","-56992","-69720","23010","-43464","-25458","-18222","79000","-22030","21984","151358","-17882","91264","8400","-90000","-59374","-338540","42008","22360","70542","-89854","-27224","232460","-31470","-190492","2418","-69382","46382","-37000","-111366","-94088","-60802","56268","31310","280204","-26950","9490","-219236","2750","17200","131284","39232","81264","-8840","37852","-163304","112116","69348","19680","91104","58330","-51130","-47856","23400","56730","-26364","17360","-77112","13200","50632","-217942","-144568","36948","6250","11716","37612","213018","-28380","-42480","-80616","102783","-83378","104672","-4310","56180","27794","4188","-50872","-11750","29572","42572","28820","73632","-31620","106172","22336","-72294","4836","10175","146850","-40212","-98492","130682","-30720","89180","7170","173536","95424","22380","-7200","50216","-57296","-53814","1860","127314","-72004","-7746","74422","-2060","-17512","110286","98352","90824","23400","90852","48018","-100274","11752","0","-6458","137638","-54202","8084","-35420","330466","43096","189284","126738","8700","-39192","135092","135572","87124","-45560","195056","-102894","20796","105280","3250","157568","27472","-34148","125614","-58320","-243824","87776","113076","170832","-10140","9610","-146296","120130","21002","41160","202148","-3876","129167","-146298","-39710","37042","-87236","-132624","165268","-23400","12278","30308","215796","87928","-3985","-31132","-92504","-80356","230004","-11290","84956","-220200","41444","-3232","-71740","98104","16585","-237932","-20516","8720","-196044","96212","28760","134758","10875"]}],"seconds":0.121,"computed":"atlas","estimate":{"seconds":0.365,"low":0.223,"high":0.631,"bytes":2082528}}