{"label":"145.4.a","level":145,"weight":4,"dims":{"new":28,"cusp":44,"eisenstein":4,"modsym":92},"old":[[5,1,2],[29,7,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5, 29, 145]: [1, 3, 9, 48] (certified at ell = 2147483549)","T = [(2, 1), (3, 1)]; h of degree 28 = 1 x 28 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"145.4.a.a","letter":"a","dim":1,"charpoly":["7","1"],"traces":["1","1","-8","-7","-5","-8","-14","-15","37","-5","62","56","42","-14","40","41","-114","37","-70","35","112","62","62","120","25","42","-80","98","-29","40","142","161","-496","-114","70","-259","146","-70","-336","75","162","112","352","-434","-185","62","-444","-328","-147","25","912","-294","-238","-80","-310","210","560","-29","840","-280","2","142","-518","-167","-210","-496","-154","798","-496","70","892","-555","-38","146","-200","490","-868","-336","1050","-205","-359","162","-778","-784","570","352","232","-930","1410","-185","-588","-434","-1136","-444","350","-1288","466","-147","2294","-175","-878","912","1062","-630","-560","-238","1826","560","-1270","-310","-1168","-574","82","560","-310","203","1554","840","1596","-600","2513","2","-1296","-994","-125","-518","296","-1455","-2816","-210","-198","3472","980","-154","400","1710","166","-496","-80","-490","3552","892","2604","1517","145","-38","1176","-1022","3150","-200","-1868","1050","-4218","-868","-710","2352","-354","1050","1904","-805","-868","-359","-2268","-1134","2480","-778","2046","-1680","-433","570","-2590","-2464","-2118","232","-350","2542","-6720","1410","1260","1295","1342","-588","-16","-930","-730","-1136","-7068","3108","1120","350","1622","1336","-4058","466","1680","1029","266","2294","-2220","-375","1232","-878","406","-6384","-810","1062","2294","1722","-4340","-560","-3478","1666","-7136","1826","-1760","1200","-1988","-1270","304","2170","-4788","-1168","6622","-2254","925","82","3666","-3920","-350","-310","6944","435","2","1554","2220","-5880","-8400","1596","700","1640","-1018","2513","5032","-14","735","-1296","-2940","-2130","6224","-125","7102","3626","3844","296","-4560","-119","5906","-2816","-2044","1470","-1073","-198","6252","7440","1190","980","-11280","1078","-7230","400","-7838","-4674","4704","166","1550","3472","5386","-80","5254","-1050","6502","3552","-6478","-6244","-2800","2604","-2268","5957","8083","145","-3728","266","-6858","1176","-4200","-2190","-4960","3150","2604","1400","-4928","-1868","7024","-2870","-10","-4218","-3684","6076","-8496","-710","-138","5040","8802","-354","2590","-7350","5546","1904","-1798","835","-14608","-868","7980","2513","1050","-2268","10160","-2430","6216","2480","3082","5446","5402","2046","770","4592","-6414","-433","-656","-3990","8804","-2590","6860","-5280","2480","-2118","1486","-1624","1370","-350","-3360","9982","1122","-6720","-4460","-9870","-12768","1260","-4230","2775","-1959","1342","-20104","4116","190","-16","4016","2542","5994","-730","3332","7952","3802","-7068","1000","6660","-1218","1120","-4430","-2450","-2368","1622","8642","11640","4340","-4058","13024","-3262","10","1680","-7068","2205","1584","266","-5250","-16058","-7654","-2220","-7840","1025","8402","1232","5964","6146","1795","406","9052","-13680","-790","-810","-1328","-7434","-11760","2294","3890","6762","640","-4340","-15220","3920","4122","-3478","-16428","3570","-2850","-7136","-28","-12782","-20832","-1760","-12168","-3280","11822","-1988","-1160","8890","-4340","304","-6480","4650","-5439","-4788","-5308","8176","-7050","6622","-25200","2338","5210","925","10044","-574","14944","3666","2940","-8400","5626","-350","9120","2170","-4278","6944","9642","-1189","5680","2","-2204","-10878","2156","2220","2832","-12600","21824","-8400","-1750","-11172","-8806","700","11870","6440","6132","-1018","6944","-17591","-2330","5032","12626","-30","18144","735","922","9072","3306","-2940","-11470","5822","-12488","6224","18060","875","-16368","7102","13272","7770","4390","3844","3464","-2072","2410","-4560","532","11521","5600","5906","-5310","19712","-27528","-2044","16944","3150","-4018","-1073","-3618","1386","2800","6252","-16188","-20336","-8323","1190","31080","-6860","6804","-11280","-9130","2310","-10080","-7230","-9114","-2800","20522","-7838","-10736","-18354","6350","4704","20026","-1162","74","1550","2030","7440","-14700","5386","5840","560","9186","5254","14784","2870","56544","6502","-17068","-24864","-410","-6478","5026","-13380","-15270","-2800","15492","-18228","-12976","-2268","1550","-6179","-14554","8083","32464","-1015","10892","-3728","-14756","570","-7770","-6858","13226","-8232","-9940","-4200","-2128","5986","4642","-4960","-7980","-22050","17760","2604","16530","3000","-23198","-4928","-5698","13076","-12565","7024","7196","-11270","-3248","-10","-18648","29526","9282","-3684","6480","13020","-7974","-8496","-15890","4970","-4960","-138","-19740","-13776","625","8802","34720","2478","-16644","2590","-19788","-15750","27824","5546","-1480","-13328","-6174","-1798","33004","7275","-9878","-14608","-23918","6076","14080","7980","28646","5385","52080","1050","15904","15876","-23578","10160","990","6642","-1406","6216","22770","-17360","-1298","3082","38304","11670","-4900","5402","-1798","-14322","-52976","770","124","18032","1362","-6414","-2000","3031","12326","-656","-6524","-8550","-29328","8804","-22538","18130","-830","6860","2800","14432","-9996","2480","-21148","14826","-32116","1486","400","-3480","-18468","1370","-16","2450","-24498","-3360","-10220","-10354","-17760","1122","12292","47040","17890","-4460","38850","-21150","8804","-12768","-13020","-8820","-5600","-4230","-25140","-7585","-14868","-1959","8144","-9394","-725","-20104","-9944","8820","-30563","190","-40128","112","-25318","4016","-5880","9982","-9548","5994","-7830","5110","23520","3332","-30008","17040","-15750","3802","-28786","49476","-25564","1000","15562","-18204","-56816","-1218","9340","-7840","-6914","-4430","-30752","-5250","-13018","-2368","17780","-11354","21090","8642","35280","952","18450","4340","-47248","28406","-1838","13024","3550","-6990","16352","10","-11340","-11760","55304","-7068","2320","-6027","1770","1584","-5274","-1862","-50016","-5250","-1148","-34410","84","-7654","-9520","15540","21926","-7840","50616","4025","52170","8402","-2356","-8624","4340","5964","57840","13170","35010","1795","-2888","-2842","62704","9052","11340","37392","-24640","-790","-21756","5670","3542","-1328","-11468","-15930","-12400","-11760","16616","-16058","33970","3890","-43088","-7014","16758","640","-10230","30380","-11360","-15220","-43410","8400","841","4122","-52016","24346","2165","-16428","-35182","-9758","51824","-2850","9052","49952","82","-28","12950","-27390","29306","-20832","-490","12320","18144","-12168","31642","-12880","10590","11822","-64664","13916","65100","-1160","-6468","19050","17242","-4340","1750","-2128","-7774","-6480","54864","-12710","14682","-5439","922","33516","33600","-5308","-9664","17520","-4144","-7050","-22258","-46354","31080","-25200","-6300","20370","-20832","5210","-4118","-6475","27132","10044","39424","-1230","-6710","14944","-31904","-25662","-32486","2940","-27518","22960","-48236","5626","80","2450","2772","9120","-19420","4650","29472","-4278","37464","-48608","3650","9642","39294","-4669","39010","5680","10290","-14","1104","-2204","35340","-23310","-18734","2156","-70416","-15540","-29298","2832","10044","34440","-5600","21824","-45044","58800","-1596","-1750","-44368","-23940","30282","-8806","-8110","-4900","14384","11870","-2324","-6680","-9627","6132","67562","7126","20290","6944","-15364","-37695","-63840","-2330","44462","-35224","1120","12626","-8400","82","-18534","18144","87420","-5145","-46990","922","14272","19440","-1330","3306","-49728","20580","21824","-11470","-6508","22862","-24656","-12488","11100","-43568","-39874","18060","-11680","1875"],"derived":{"al":[[5,1],[29,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"145.4.a.b","letter":"b","dim":6,"charpoly":["3896","-329","-2054","-427","67","20","1"],"traces":["6","-7","-13","17","30","-21","-79","3","81","-35","-44","-61","-53","111","-65","-75","-145","-98","-84","85","-40","-310","-553","-221","150","-21","-532","-729","-174","-105","-293","-223","-364","-153","-395","468","-18","-138","-139","15","774","1312","-447","348","405","1493","-642","1135","1245","-175","998","1189","-1039","1808","-220","331","26","203","-947","-305","1397","991","-2666","-43","-265","2520","-910","-2765","1507","555","-1184","2940","607","1288","-325","2608","2370","727","417","-375","1730","2664","-3344","2692","-725","-1707","377","-530","-282","-490","-544","-1367","-4050","3156","-420","271","-723","-2598","-206","425","-1049","4970","-2098","-5693","-200","6517","-2168","-5564","730","-1550","-3434","2379","-2331","-3206","-2765","-493","-1915","1031","-1367","-1105","-1362","-759","-3078","-157","750","850","-1490","-825","3164","-105","962","3888","-2988","-6334","-2660","7507","-3175","-6187","1645","-3645","-4052","316","1932","-10644","-870","-1697","3328","-2322","-3222","-525","2542","-1626","7002","2054","-1465","1757","4348","21","4726","-1115","6616","-7759","5142","-740","-1820","5396","-1347","-2364","-319","-765","3016","-3211","725","609","-1975","2940","10081","-5240","4343","2340","7358","4616","6793","1949","-90","11782","-5970","1010","17853","-690","-9927","6447","5639","-9319","-695","4776","3193","-3596","-42","75","-176","-6033","2291","-5206","3870","3942","-10063","6257","4024","6560","468","-5313","6852","-8172","-2235","1504","7723","-568","5766","1740","-8410","7594","-8009","3195","2025","16625","-10618","-1170","5899","7465","4034","-87","-2908","1665","-3210","-24367","15283","12731","-17904","5675","-5667","4673","-12002","11303","6225","-20286","3954","-2145","2958","-875","2040","-4852","-1908","-9072","4990","-10931","-10142","21568","-2772","5945","-2349","-3980","8574","-15644","-5195","2180","4792","-428","10367","9040","282","-15601","22847","-15443","-1100","1135","-11504","1627","8916","1655","-10023","10384","1616","-12268","130","-11384","-10556","-1850","24417","1015","-17733","12627","4250","-25810","-4735","11524","-4722","24148","-4243","-1525","-3137","934","26027","1812","6985","-51700","-6222","-10458","25460","4955","-18485","-12625","2544","-9286","-13330","-6075","-18330","-31154","1276","-215","18130","-31432","-12632","10465","-1325","-14572","5934","17896","-2588","12600","9584","-8718","24562","-11533","-4550","-20104","337","-16632","-13585","-13825","11214","23226","-8486","-10571","7535","-44735","-19856","1769","8060","2775","-21441","2510","13964","9823","-5920","25896","-20951","16581","-23629","14700","-14266","23604","17439","-15852","3035","-53365","-14504","6657","16982","6440","6343","-12022","7125","42234","-1625","-18636","1537","-45685","33492","13040","13220","22829","6673","18863","11850","15951","-126","-23579","-216","3635","-1526","26936","-2906","5169","2085","-14046","-27673","37810","13258","-1875","14381","51120","23822","-18839","8650","-3219","-9428","41238","5616","13320","11483","21200","28350","55451","-16720","26131","-52446","-5724","-14337","13460","11248","5046","10518","-3315","-3625","34404","-21102","32542","30998","-8535","-24686","32180","26844","-27155","1885","-28516","16850","-40670","12664","-2650","33894","44094","8417","-32638","-1410","6677","8140","13155","-6518","-2450","-30952","19825","19682","24778","-2720","-7514","-5832","4979","-20175","-6835","-2849","-54218","-806","2175","-20250","-15774","-29579","-7489","36076","15780","5430","44139","-3090","-54871","-2100","90213","-35574","15040","189","1355","-1706","17409","-4143","-22207","-3615","65356","-16071","-34911","-56732","-12990","4290","-41982","4205","-30750","-1030","-12049","-3624","2226","24711","2125","46220","-53402","13946","-63882","-5245","28556","44803","-3062","-17282","24850","-23375","51041","-14706","-7920","-10490","11832","-12592","-24552","-8489","-28465","-5559","2842","-50340","29934","-1000","32576","-3947","22252","10249","32585","-29163","-34808","-42442","-18172","-10840","-13310","-4821","-28313","-25980","-27820","33451","32184","-110466","44811","3650","-54399","-31744","30349","-55035","-7750","2436","36121","-38","-9458","-17170","15033","23961","-39282","37928","11895","-76710","-57307","-13925","-34832","-11655","39036","-27508","-17248","-32324","-16030","-29241","30988","39382","-72324","-13825","-6800","-47765","-71700","-39767","-2465","11836","139845","-46402","-14761","-9575","43444","7882","-21584","-3772","5155","-24870","-43710","18086","45138","-6835","35456","-18576","18515","-31617","-5525","1474","81593","-17038","10922","-6810","-6887","17682","-33558","1160","-3795","73632","18678","41973","81484","-15390","77042","27765","-106124","3338","-785","102533","25671","-19310","41461","3750","7114","31312","10676","47840","4250","-3436","16681","-21984","-4632","-7450","-17970","-77498","8990","-8476","-4125","-206","-21082","18404","55992","15820","26896","-23470","-21457","-29476","-525","128579","71494","-6018","52230","4810","-41552","-18266","-29796","55124","19440","54674","-40858","-118991","64240","-14940","-70468","16037","-37505","4191","-31670","-24448","27544","69250","14717","-13300","-30450","-15224","-87087","116724","37535","-31822","-33226","-45336","-28780","-15875","13358","-1084","3001","-1582","-30935","71817","64951","42738","30304","8225","6409","-24484","28594","131218","-18225","43038","74625","-16948","-9136","-20260","-19370","85234","25249","29442","1580","-65939","-61132","-2370","-117401","9660","-9781","4182","124247","-63154","-53220","-60408","56041","-66439","-27848","-4350","-27089","600","69968","36753","-8485","105621","41585","17040","89214","16640","-45551","90424","70640","60962","-11610","9448","-109119","8986","-52854","-16110","30029","53768","7874","-18560","-2625","21046","-17506","-48430","609","12710","82237","1998","-96422","71334","-8130","-56209","67080","-49892","-47547","35010","72443","-99905","-96021","68482","10270","92102","-51929","92280","-155812","-7325","55969","94874","-2890","-9404","8785","-38924","-29990","15428","-41504","21740","-63058","61988","-633","-46664","105","17788","-19352","-4365","-1149","23630","-21906","-37436","55878","25260","-5575","-28432","-138071","-4550","82004","33080","-39250","-25960","-36781","46232","-38795","4651","21141","-9656","2228","25710","-55306","-40032","-71178","71087","-3700","-63726","76333","-44498","-43450","-9100","-12142","92183","-41205","-25897","26980","-8374","-71507","30561","66734","-6735","-16476","-70261","30641","-178058","-11820","5046","44662","156776","-43804","-1595","-59572","3409","14155","-5342","-3825","-12142","380","13718","18782","15080","-98784","-78862","-83510","146424","-16055","20658","-60166","-92995","-79256","3625","-33926","61630","15607","-39884","3045","38988","41552","22431","51566","-9875","22818","-6783","-142436","-56730","14700","-32934","35233","-19044","-108282","50405","-106415","39290","9230","73852","-26200","64602","-100847","-13332","-151960","21715","35095","29958","-89636","8497","11700","-4763","-31284","-3815","5489","36790","-112866","34007","-6796","-209657","23080","20179","32322","-2116","4450","33965","-24639","-103754","76167","-51484","9745","-178032","-65273","72024","-75454","-450","50958","-58302","6467","-21777","58910","47778","-12910","107349","171985","-29850","37169","-87782","102644","15898","5050","7200","-65062","16306","-17963","89265","61902","-60181","54735","-14814","-3450","54600","-278793","-59120","182012","-49635","-178280","10556","103621","17044","32235","-30751","39750","-76700","-19429","28195","72591","1536","31855","-5234","-46595","10408","73238","18267","28207","-3475","94555","66610","14944","56376","23880","78274","-46428","18278","31074","15965","4437","258408","53226","-64980","-17980","-76358","81515","46392","101720","-210","-68150","-6998","51661","-91754","375"],"derived":{"al":[[5,-1],[29,1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"145.4.a.c","letter":"c","dim":6,"charpoly":["32","183","324","133","-77","2","1"],"traces":["6","-1","-1","21","-30","-29","3","-99","-15","5","-148","3","13","-153","5","85","-53","-168","-188","-105","-220","340","-235","-445","150","-559","-100","123","174","145","-347","-853","-276","-237","-15","48","-538","944","-121","495","-574","332","421","-1258","75","393","-170","2619","85","-25","198","963","51","1528","740","243","-526","-29","-39","-15","247","-33","666","2561","-65","1280","-558","3727","173","765","-2540","1154","731","2160","-25","-3782","-758","2453","-2297","-425","-2974","744","-540","936","265","477","-29","6000","-2698","840","-528","-3871","886","576","940","-3857","409","3112","366","525","-563","-4666","2322","-2471","1100","-1141","-696","-260","1454","-1700","-1586","-745","-1695","5282","1175","609","1751","1059","-5253","2225","-1282","-7217","750","-3345","-750","-1312","-1706","-5299","-3732","2795","-3602","-6312","-668","-1696","500","-7065","149","4611","-6079","-615","468","-352","-3764","-468","-870","-57","-3796","62","-2338","-725","-5910","7784","-102","1818","1735","5087","6712","4897","406","4265","-1240","4811","5186","-2112","1380","746","-4669","48","4569","1185","-1664","-1067","9683","-841","75","-13978","5477","6532","-8117","-240","8910","-9556","119","12561","2690","-826","342","3758","4443","-4720","-9517","9951","2171","2601","605","-5952","3715","3018","1558","-2475","13296","2505","87","12594","2870","-1636","1063","5479","6520","-1660","-2444","-1179","2700","-4518","-2105","9912","13423","-19384","2622","6290","6646","-4682","5573","51","-375","8073","5270","-12562","-3923","-1965","8154","-2871","-6116","-3361","850","1313","6513","-14199","-7468","-13095","12837","-19681","2994","373","-425","4526","2390","703","7942","125","1584","722","10420","-2296","-990","21581","6094","-1772","3776","-4815","-435","-8006","-19606","28444","-255","9472","1196","-14438","-10343","-7640","-9298","24959","-14965","-10343","-3700","-14887","8960","419","-2540","-1215","12553","-19004","-6988","-24876","2630","17364","-17996","3412","19193","145","11023","-9745","-15402","13598","195","-8428","11674","-25308","-4559","75","6853","-22734","-9355","-38386","-1235","6380","19342","-11690","-4012","165","-687","-35451","-4540","17490","-3330","-21467","16682","5174","-4292","-12805","11002","4600","-24124","-15443","325","-18560","-8414","12680","1080","-6400","-10064","-11384","-9582","655","2790","16956","5573","-6086","-5133","-18635","478","-1292","-6630","37973","-865","14379","24332","87","-5320","-3825","-15247","41776","-20584","-18269","12700","-9184","30251","6225","-13703","-5770","918","-10940","20155","20168","-3655","14045","3156","-22639","890","-10800","16635","8346","-8713","47354","125","5784","377","6093","-32036","18910","30104","8873","-32893","-20937","3790","44227","11422","32561","-4744","-12265","-16138","10154","24426","-6169","11485","-2176","19997","22810","-17842","2125","11461","12976","-28698","53131","14870","-4437","6856","-46830","-8296","-3720","-11041","-19674","-26794","5311","2700","10105","33658","-67052","2579","-4680","-12720","23220","-518","-15061","-1325","42612","25146","41004","-7114","-2385","7390","-64892","18660","60877","145","50292","18374","9142","-9548","-30000","-5898","-13530","-17299","15090","13490","29425","-23356","21183","-962","-4200","21712","-29443","23802","-12156","2640","54006","5104","45305","333","19355","18169","10198","-3666","2465","-4430","-35194","-6039","10189","-37368","-2880","-43730","-5465","24866","18099","-4700","-14401","-1918","-25068","-33353","19285","-13734","4369","2121","65145","-2045","-30236","14231","44031","26140","-15560","-3710","-11946","-1537","42026","-1830","6923","5452","-1070","-28965","-2625","-65104","-43808","6054","6684","2815","-47232","-8305","-22566","-18758","23330","-9877","-46857","14374","19360","-11610","-53632","19496","50076","-26011","12355","23913","-4872","-708","7956","-5500","-32840","-66157","-103028","-44519","5705","-7767","8000","21054","-27552","3480","6024","-28457","24941","5028","1300","-34107","39838","-23070","-106161","-7270","23093","30724","39609","36739","8500","-5452","55103","-40910","74382","7930","-43247","-27849","12680","-61460","3725","-50810","45457","15263","1216","8475","-18542","-10536","61972","-4052","-26410","-16589","-55432","7838","-29584","-5875","-8572","-26561","28770","-16755","-3045","23808","-93499","-23026","32127","-8755","-45660","-40302","-34640","28860","-5295","20522","-34402","-9062","-48842","26265","34380","-17692","51011","20989","-11125","-11694","-34445","-3706","45882","6410","-93049","44626","154180","-6380","36085","-76096","-13530","-22057","-9592","-3750","6926","-32375","56284","-3042","16725","-4817","30043","-7166","44775","3750","-34246","49176","-26184","-5080","6560","-48876","31629","4288","-48908","8530","23614","30422","9860","9124","26495","19002","-111626","42732","-5532","18660","21292","-2086","39093","13956","-13975","-9497","80242","27626","12866","18010","-14020","6182","15640","20344","31560","49946","12496","64915","-48802","3340","9252","-6815","34711","-65855","8480","5472","-73268","-56186","64149","-2500","-39262","35840","77065","-21548","35325","39354","-50754","45792","11966","-745","40818","-10696","-65939","16890","-23055","-35027","69809","-10750","16406","30395","-12905","61876","27070","13974","3075","-8182","-44913","61728","-176078","-2340","47638","38626","-1019","-45006","1760","-17193","47216","13190","36261","18820","6183","62962","-38073","-69782","2340","43144","-80633","101849","37064","4350","-73681","1800","76548","79953","285","8569","-21601","-81116","55058","18980","109613","3072","18992","18290","-310","22256","47801","57518","70082","11690","-2709","-27888","-146878","43312","3625","-4994","37078","30918","-16211","29550","-47573","58582","32368","35398","-38920","-4609","-23344","58956","-28075","510","-25165","-41727","19223","-10722","-9090","5214","-63349","-3112","-16244","-8675","-154047","9918","52702","15692","-25435","51420","71182","-2900","-129508","-33560","-14926","140116","9781","19660","-24485","-114324","-33922","-5905","86725","-2030","-40798","-296","-46838","55896","-21325","-15292","-37863","7362","-12252","6200","29954","-104532","-152963","22368","-24055","-5657","3567","-52648","-77016","-25930","92438","-96280","-27742","70259","10560","6786","29925","19922","1740","-6900","-24462","-48893","4715","-30239","-3730","1998","119923","-36835","-40794","23345","220024","12041","-86815","14282","-240","5046","106998","39632","-107990","-22845","27484","15563","14329","-34334","-5925","-17302","-37212","-57058","-48038","8320","-137562","-38470","3162","47968","5335","44026","-57418","-46373","69488","-48415","-51886","-25422","9195","58364","4205","41980","-92584","-53589","-104298","-375","-65678","77303","-77772","6810","69890","49086","-31605","110716","3006","-27385","-81043","-38122","65354","-58044","-32660","74486","1513","-96060","106712","40585","-9577","-48802","-139148","-10063","1200","-86897","-28536","63639","126873","-44550","-66914","3651","42078","-36759","47780","-75511","-237774","-44396","-111074","-595","-63897","-78262","104275","-24860","-62805","73296","34485","41416","-22406","-13450","150720","4198","-24737","-30585","4130","109298","-91414","-120633","-193107","-1710","29583","91846","-18352","71054","-18790","29060","59414","33074","84365","-22215","10386","-53513","-35907","-23166","23600","-42128","7437","-11820","-9964","47585","122176","-8004","67201","-39772","-49755","39553","14746","-27604","-16985","-10855","-2561","89224","-236671","894","-13005","-23016","-6746","-52915","-43773","-3025","65641","-146382","-110028","101672","29760","59358","164766","47418","17302","-18575","-6873","132700","-157974","24504","-15090","26142","54651","-62140","88396","-7790","62330","94134","-147543","100846","12375"],"derived":{"al":[[5,1],[29,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"145.4.a.d","letter":"d","dim":7,"charpoly":["154644","-143948","-30574","9357","1045","-186","-7","1"],"traces":["7","6","1","52","-35","3","17","138","118","-30","2","-77","-17","361","-5","372","95","261","94","-260","-100","190","327","-117","175","-115","-236","-67","-203","-15","169","890","272","377","-85","2443","-500","282","1129","-690","1208","-1892","-1517","-734","-590","-1413","1974","-2637","794","150","-190","-2063","-255","-5052","-10","2057","94","-174","177","385","-705","-807","200","332","85","-2768","-744","-2323","1551","-1805","2024","6897","-1405","82","25","-18","3402","-5311","-2157","-1860","1099","2266","-158","-4372","-475","3033","-29","-1250","-2244","-1305","3376","2599","586","2212","-470","-5077","-727","-1567","416","1300","4841","-1558","-2748","-1059","500","4875","-246","-11684","3160","-950","4882","6797","-2711","810","-1635","-1508","1093","-6327","4673","585","1527","-2367","6914","829","-875","13636","1862","5642","4252","575","1544","-4280","-2452","-2200","1180","6265","5049","-21","1637","335","-1284","4240","10252","13083","1015","497","-9856","-6058","-2172","75","7026","7154","-4756","3362","-845","4009","-1422","2055","7326","-4450","-2292","9462","-2906","6766","-1360","1650","-4475","-28156","2496","-1885","1222","-6703","1573","-87","425","-10750","-14805","-6818","7815","-12215","-13256","-5204","6471","-1901","2500","-3714","-5494","15868","-22735","-1410","1215","-12109","-3261","-6877","-5645","2703","2873","1000","6794","3450","-5328","11407","-493","9386","-6040","3056","7017","-17967","-6956","9460","470","2279","8984","-7874","7585","-37788","-14407","-1190","9386","3670","2070","13330","751","9689","2950","-865","-2800","15666","-10687","7065","-4578","-4002","7570","-18373","-9870","9681","-28467","-15523","6296","13185","-4205","25090","-17126","-28267","-3970","-7694","-4646","16833","-22466","-750","-1870","42680","-11420","1296","950","10628","-10344","19176","7216","10315","-3422","188","8250","-34520","1275","-8336","9156","-7276","-5155","25260","1888","26653","-14471","-1333","50","-5429","-17446","33853","13222","-10285","-1921","-8744","-9490","20752","-470","9048","5068","62609","6196","870","17099","-11435","5836","-14482","-885","-15390","-14506","13714","3345","-1925","6303","4366","8837","11982","3525","13610","-6878","32338","13116","4035","19793","-14175","4174","17424","-1000","-14781","13504","54894","-58","-1660","-13866","18024","15116","23044","-425","7828","-19634","40410","1852","13840","-4722","-5178","-26888","11681","3720","-58276","-16951","-38431","8407","11615","-30766","4854","21262","-11919","-7755","-5241","11474","2233","8118","9025","11539","-27714","3350","-63513","-10120","-52518","-15001","37319","33093","-34485","-22345","-16158","38637","20940","7025","-23913","-26552","6663","30476","-410","-10145","30862","35141","-51562","-125","48988","493","-48311","-11730","90","-1564","20383","-8455","-86581","-17010","-30215","-37418","-5089","1938","26555","4446","-13955","20642","16387","10785","9484","-24669","-50822","-8698","9300","-4721","75476","-12434","18251","-5495","-10469","-3388","-9470","9822","-11330","-23781","-51252","-2766","-47055","790","-27747","4538","-34584","18947","21860","8330","33122","46086","-53","2375","63676","-5510","-62806","26182","-15165","32238","-129876","10758","-16595","145","10350","-24566","92990","48236","6250","-2257","-47162","-17249","68138","11220","-21097","12408","43213","-13136","6525","13140","-6773","30042","-56148","-16880","12338","-33810","-55753","-2047","-12995","-43851","48506","33260","-10788","-2930","14020","4523","-18041","-15800","-11060","-16362","-16959","1474","-49563","2350","-5939","-34848","-15276","6995","25385","14502","69685","3243","64600","3635","-110304","13453","-32159","-30332","7835","63308","64450","-2755","-39794","-2080","20973","-7936","-132810","-8193","-6500","-14600","34794","-16650","144788","-24205","-42584","40449","-2048","11080","7790","17033","9370","17302","-542","13740","96200","6848","-71300","17203","5295","30183","-7569","-4714","-99600","-2500","-1784","29423","-113848","55278","-24375","64533","26240","39162","-7784","1230","-96528","38073","33615","9670","58420","-34775","-7492","22978","19545","-15800","125113","19470","31383","-12141","4750","-2726","108691","-2994","-22788","-24410","33509","-10975","-22758","-4272","-33985","-65482","37957","-17347","-39680","13555","-26354","115118","41432","6454","-4050","36175","116768","20226","12224","8175","155843","-10949","-22383","93105","7540","54860","62039","14118","-59799","-5465","-43738","-25888","-189066","63388","31635","21482","-33706","1416","-37538","-23365","-1818","-26416","-25523","67089","-2925","8468","-126953","-82968","114846","-7635","-42527","10654","210","2900","11835","-4416","41534","17501","-35596","-34570","23514","-52539","-18256","-29948","-4145","51573","-6575","-13518","-83751","4375","2036","-34592","70484","26004","-68180","-2368","12471","-86992","106502","-9310","189878","-8236","-5510","-4900","-28210","-1316","133318","-93266","-173520","-21260","-292","-9812","176130","7992","-2875","-39037","-20772","24072","37966","-7720","24718","-127252","115284","7818","21400","-43692","32990","-73077","42434","12260","-85886","-9483","-69499","-12365","11000","100920","-209068","-50988","-181","-5900","43179","38570","42875","-55728","-31325","23642","-133922","17422","8250","-25245","-878","-9616","-48223","-29026","105","36413","-29349","18270","88098","-8185","3393","29932","-97652","-102758","-1675","-34228","14051","-34948","-21070","6420","-78336","81234","-337857","43164","-21200","-6897","-40346","-3654","8507","-51260","91151","-90982","83201","-23446","-65415","38844","-39166","-73037","-55858","-5075","247699","-99220","-72244","89998","-2485","-7631","114767","-22530","-41534","49280","121715","38556","-16034","-29076","30290","-31700","-85341","54294","74406","10860","54851","75406","-82794","928","-375","-23868","107580","180926","3335","-35130","-312799","-10588","-11942","-20114","-35770","7773","64272","-14368","-39877","23780","13425","-831","-39373","4712","-16810","-117810","-158315","5378","-13992","4225","-91125","34594","134604","49432","-20045","-52796","159198","6844","117327","7110","29006","-151010","107623","8376","-10275","-63952","56728","123149","-57267","-36630","16330","-18742","15250","12980","22250","-82242","-8323","-88418","24380","11460","-135766","85076","129959","-43366","-47310","-46773","1943","-79280","-111304","14530","72058","-11140","-41704","-78521","-33830","16132","4523","-23390","-12232","6800","215382","-45971","65365","5509","-8250","108242","-4255","38849","-90662","22375","-51240","107989","-7605","39704","140780","5887","256624","-145552","284350","-12480","116320","-10047","-77257","-103258","9425","82922","169612","24644","-76602","-6110","-166018","-66024","215790","-2534","33515","-89582","-107378","38121","-290476","-7865","-4836","-10646","17741","-4116","435","-67664","-2982","-27253","85426","-2125","210478","57465","-57984","4810","53750","-22584","137918","53046","-33386","74025","58145","137630","231786","-2160","34090","103628","-18925","55228","306316","-39075","31081","148110","158010","-4901","61075","-53647","-63072","18135","-26473","66280","-6386","-121843","21216","71453","26020","-33995","45522","94840","-140064","-32355","-64629","87294","43937","10868","9505","-32672","-21917","-62788","-84470","-12500","141104","-90360","-25810","69041","18570","-112332","26432","731","188969","27470","-5397","-29392","26172","-260774","-79340","34386","15426","29902","49521","113675","-124022","8877","-234507","-69006","7050","54028","-97307","8058","-51126","-6075","149348","-7888","84275","-40928","60545","12966","-73794","-247422","108745","16305","-87513","12340","38798","-44950","34385","-50646","-359672","162669","2465","28225","-296011","49780","-155144","-56148","-13515","-5912","-46864","91038","72066","-14365","-10933","-66080","-2634","-119392","-5000","5202","78929","182112","2180","-33970","-428946","160456","15195","38650","-17250"],"derived":{"al":[[5,1],[29,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"145.4.a.e","letter":"e","dim":8,"charpoly":["-2296348","442092","242434","-50267","-7462","1851","33","-22","1"],"traces":["8","5","17","41","40","3","33","21","91","25","96","203","39","-109","85","45","93","-24","8","205","64","42","295","-93","200","429","548","259","232","15","41","113","376","-109","165","492","106","250","-565","105","-690","-2160","539","546","455","-1387","806","-93","519","125","-902","-1683","-159","-1452","480","-1893","-2602","145","397","1015","-709","-129","734","-1583","195","-3360","-474","515","401","-545","1264","-3360","1941","-636","425","-4678","942","3907","-253","225","-572","-3276","876","128","465","-2199","493","-126","1046","-120","-3540","-715","842","-1492","40","-2821","-221","3448","4746","1025","-975","-2110","4502","1477","320","-1685","1492","5948","1478","210","290","-1381","4939","226","1475","1189","-1043","7425","3951","-465","-2512","-2211","310","-105","1000","-11340","2490","7461","1100","2145","3838","4872","1352","3364","2740","-2589","5687","3605","-1831","1295","2852","-1452","72","-5792","1160","1403","10368","7100","-2450","75","-510","2074","-1666","-8062","205","-6805","2144","12733","-5602","565","-1024","-7515","3298","-3164","1880","1206","7245","-6312","-5097","-545","-10136","-4423","-4063","87","825","6506","-4417","1364","-1137","2460","-11602","3092","-4839","-8171","530","15766","2086","5524","-2681","1250","3727","-17909","-5823","2237","-2825","6564","4801","-13824","-12114","525","-11184","-10545","957","-6654","-3450","10172","2513","-3259","-5208","-10800","520","-7197","-5736","-3426","2695","-3996","-13359","648","-870","2730","690","-15518","-9473","13859","2275","-151","1058","-20918","-3643","-6935","-4930","609","-13828","33683","4030","4905","-8201","8707","9312","-465","-10183","-7587","-9022","2205","2595","8278","11986","191","-12938","625","4736","116","-11832","16704","-4510","-1907","-8218","11728","-6136","-8415","2639","9680","16502","2808","-795","42272","17176","3092","897","-7260","-7378","-5757","-33667","6101","2400","16661","-8148","6973","-348","-9465","7245","-4072","4500","28796","-13010","22280","20976","-18068","-23281","725","10447","26531","-8142","24566","1985","30660","13258","16848","1329","5075","-22171","20090","-4325","4994","-3545","5784","5342","2218","-2308","-645","17773","30371","-11516","14270","3670","9093","4978","-19354","2784","-7915","2718","-5504","2908","41625","975","30796","45314","-14228","-11640","-16800","15112","-14434","-10362","4291","-2370","14912","9091","-25862","-9941","2575","2478","11750","-27102","-5655","2005","-24549","8100","5887","-20348","-2725","-12235","9626","-8484","57851","6320","21692","-5987","-14921","-8771","-16800","5432","-7564","741","-42836","9705","-29663","23176","-28819","-36686","-3180","15519","-26314","-44459","16498","2125","-35700","1131","-62409","-8264","-23390","1368","6529","19569","15939","4710","-30445","13254","-34723","19196","19535","-3850","-26112","-34114","-77","-1265","31128","1103","-32214","20834","1125","-2007","-16604","32362","-45817","-2860","-3161","15972","17882","-38592","-16380","33759","43948","-31598","26731","4380","-35059","-7366","14640","-3069","640","-1860","-76746","59762","-10509","2325","-51540","36542","20854","-23290","-10995","7114","3612","-40368","-45887","2465","26472","12818","3638","4912","-630","70344","-1598","38587","18874","5230","-35279","19568","17091","-13378","-600","-44584","-31927","-12166","14920","-17700","19034","44800","-48797","-6515","-3575","27953","-104702","16474","1305","4210","43858","7207","-34021","-9080","-7460","14526","59193","-1730","49127","200","6603","-12318","35376","-5037","-14105","-27802","-45717","36467","-20903","-1105","-7656","30441","-25115","-13732","17240","-38378","-92154","2697","-65926","23730","-29041","-16428","56134","21783","5125","70676","-16210","44094","-69060","-4875","-23088","30009","49400","-33658","-10550","11687","-47071","-40162","25244","22510","28944","16464","-36884","29009","7385","-18003","-696","2964","8656","1600","4948","22053","46968","-8317","-8425","-57999","21432","-22978","79780","7460","13652","-9979","21275","3444","29740","38565","-111240","-7650","41523","7390","2669","12140","97389","-13717","1050","232","-36979","14082","5534","1450","17909","65853","142598","37060","-6905","-31966","-4605","35985","141920","24695","-14282","-8596","20108","-16512","1130","-4089","-58088","92610","76248","7375","-67212","9601","-24770","-43643","5945","684","30611","30666","-30765","-5215","88748","4274","136902","-52544","37125","-24710","117132","64646","-24006","19755","-79784","-3092","27209","55401","-2325","-626","-68227","-8966","-41118","-12560","56383","9414","-29422","1856","-11055","-240","-54072","-14435","44452","1550","-32934","23767","77448","-85994","-525","53471","38259","11318","3499","5000","-146178","-79744","43198","-30296","-56700","14900","3909","-42992","-78788","12450","-86946","6638","1218","34768","37305","30502","-60386","-18048","43296","5500","47868","-63430","28365","-79824","10725","-168969","48452","47302","-43702","19190","-52180","37314","-124584","-9496","24360","-11886","-135834","-20311","48558","6760","-170780","8555","-18197","59405","16820","-35620","52472","-50566","50981","13700","-2690","-25828","-46041","-44996","-12945","34178","93462","10988","-129930","28435","-78958","-5012","-31599","24938","18025","-71179","-52613","54642","-29418","-9155","-2697","45656","74322","-71514","6475","11910","136501","-12612","-12414","14260","-51454","-58730","-3613","-19050","-7260","-30333","27380","-12594","33137","360","-26985","-25234","80683","20370","-28960","-67408","-38827","-42509","-146060","5800","-98269","64784","14084","-49205","7015","-20787","35257","19624","-55506","51840","-53155","57320","42848","-3682","35500","2380","43511","35006","119470","-12250","76083","-130276","-36310","44772","375","-21050","-97284","-47990","12441","-2550","65231","14438","-70066","25774","10370","28923","-2724","-41692","33105","-8330","56971","28439","17315","8110","-40310","-188642","46475","21352","112304","1025","-41707","78558","-139626","-5708","-34025","85764","-53682","15892","-116744","10720","81346","-87676","92611","74508","63665","68940","-115080","-87507","-108383","-28010","-29454","-10864","265398","-21816","2825","-50716","93867","9650","-48660","-5120","6954","-112368","-32785","98604","-37575","-128897","7511","-53808","-11000","16490","58418","5012","-20018","-154169","-15820","98738","-72561","-24730","160428","9400","97422","-103923","119347","-17687","6030","878","18877","-59617","104202","36225","-97320","-23665","27099","36202","-31560","6728","-36198","38856","5038","-25485","47156","79353","4859","151750","-2725","-40050","162172","-33382","109518","-50680","144934","-20478","151726","-10360","-22115","131130","58290","137445","34532","-20315","18274","-137974","-213303","-8640","435","40012","141904","96629","24678","4125","125222","-15875","16732","20262","32530","50430","119041","-33648","-10902","-22085","90025","33814","-100390","129864","6820","20862","25745","-73988","146244","-5685","147707","-63618","69852","1189","12300","83023","-30992","-78239","-86719","-58010","176558","121589","82520","-39343","15460","84829","20954","-145388","90878","-24195","-9229","-82450","-27763","41984","-40855","-13568","91703","-42156","80882","2650","-27148","-86014","3277","-20213","78830","-119170","-154870","-41903","-80927","10430","152587","-13418","-18784","-110938","27620","30396","205090","19754","40713","-13405","21662","-55623","-129913","-16922","6250","57292","-10453","-54800","25396","18635","71016","10904","-290091","124292","-89545","86067","4542","-124868","-84157","-29115","-33465","7308","-108699","43050","11185","-29544","-15592","-33813","-42377","-14125","-25691","36998","111832","-108968","32820","95974","237056","56310","-7066","24005","-3161","-86116","16026","132516","-69120","-39870","-19865","-20620","-207232","-60570","-141906","61734","-36973","104474","2625"],"derived":{"al":[[5,-1],[29,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.116,"computed":"atlas","estimate":{"seconds":0.343,"low":0.209,"high":0.593,"bytes":2063402},"url":"https://sagebrush.space/atlas/mf/145.4.a"}