/* Data is in the following format Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0. [polynomial, degree, t-number of Galois group, signature [r,s], discriminant, list of ramifying primes, integral basis as polynomials in a, 1 if it is a cm field otherwise 0, class number, class group structure, 1 if grh was assumed and 0 if not, fundamental units, regulator, list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial] ] */ [x^44 - 85*x^42 + 3361*x^40 - 82089*x^38 + 1386817*x^36 - 17197497*x^34 + 162122289*x^32 - 1187271081*x^30 + 6844037217*x^28 - 31279687001*x^26 + 113631570577*x^24 - 327608079881*x^22 + 745527993793*x^20 - 1326378465209*x^18 + 1818601994737*x^16 - 1883097361001*x^14 + 1431629797153*x^12 - 768135683609*x^10 + 274716257617*x^8 - 60026913481*x^6 + 6928067713*x^4 - 316835961*x^2 + 935089, 44, 2, [44, 0], 107163231750047944848560960956807209663182497699341984637548299223802110981295940395073536, [2, 7, 23], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, a^19, a^20, a^21, a^22, 1/967*a^23 - 46/967*a^21 - 47/967*a^19 + 149/967*a^17 - 354/967*a^15 - 282/967*a^13 + 180/967*a^11 + 199/967*a^9 + 148/967*a^7 - 421/967*a^5 - 168/967*a^3 + 279/967*a, 1/5025499*a^24 + 971789/5025499*a^22 + 2469671/5025499*a^20 - 1687266/5025499*a^18 + 1150376/5025499*a^16 - 818364/5025499*a^14 + 1124801/5025499*a^12 - 994844/5025499*a^10 + 622896/5025499*a^8 + 219088/5025499*a^6 - 844359/5025499*a^4 - 1784803/5025499*a^2 - 456/5197, 1/5025499*a^25 - 50/5025499*a^23 + 1944774/5025499*a^21 - 1240324/5025499*a^19 + 2085836/5025499*a^17 + 1478710/5025499*a^15 - 1219046/5025499*a^13 - 33399/5025499*a^11 - 1804103/5025499*a^9 + 2126387/5025499*a^7 + 1234441/5025499*a^5 + 668181/5025499*a^3 - 207087/5025499*a, 1/5025499*a^26 + 279234/5025499*a^22 + 1631250/5025499*a^20 - 1869480/5025499*a^18 - 1308478/5025499*a^16 - 1933254/5025499*a^14 + 926162/5025499*a^12 - 1291313/5025499*a^10 - 1907306/5025499*a^8 + 2137843/5025499*a^6 - 1345777/5025499*a^4 + 1011745/5025499*a^2 - 2012/5197, 1/5025499*a^27 - 1404/5025499*a^23 - 535899/5025499*a^21 + 1269508/5025499*a^19 + 2105951/5025499*a^17 + 1928117/5025499*a^15 - 341906/5025499*a^13 - 1551163/5025499*a^11 - 2473779/5025499*a^9 + 807411/5025499*a^7 + 1216344/5025499*a^5 - 2096061/5025499*a^3 + 164378/5025499*a, 1/5025499*a^28 + 1945628/5025499*a^22 + 1093282/5025499*a^20 + 194516/5025499*a^18 - 1154657/5025499*a^16 + 1514309/5025499*a^14 - 337245/5025499*a^12 - 2146033/5025499*a^10 + 916569/5025499*a^8 + 2260457/5025499*a^6 - 1558333/5025499*a^4 + 2024967/5025499*a^2 - 993/5197, 1/5025499*a^29 + 1950/5025499*a^23 + 43488/5025499*a^21 + 1088400/5025499*a^19 + 716263/5025499*a^17 + 1082958/5025499*a^15 + 560/5025499*a^13 - 223143/5025499*a^11 + 1088070/5025499*a^9 + 1049556/5025499*a^7 - 2426232/5025499*a^5 + 1905436/5025499*a^3 - 492501/5025499*a, 1/5025499*a^30 - 331939/5025499*a^22 - 342008/5025499*a^20 - 816882/5025499*a^18 - 777688/5025499*a^16 - 2298322/5025499*a^14 - 2467529/5025499*a^12 + 1191256/5025499*a^10 - 2452385/5025499*a^8 - 2480417/5025499*a^6 + 41814/5025499*a^4 + 2228041/5025499*a^2 + 513/5197, 1/5025499*a^31 + 669/5025499*a^23 - 565479/5025499*a^21 - 1372961/5025499*a^19 - 1474086/5025499*a^17 + 570422/5025499*a^15 - 778504/5025499*a^13 + 754708/5025499*a^11 - 1594880/5025499*a^9 + 1516076/5025499*a^7 + 727818/5025499*a^5 + 1630386/5025499*a^3 - 2190778/5025499*a, 1/5025499*a^32 - 2402949/5025499*a^22 - 193689/5025499*a^20 + 1595092/5025499*a^18 - 129775/5025499*a^16 - 1072379/5025499*a^14 + 2087689/5025499*a^12 + 589888/5025499*a^10 + 1915069/5025499*a^8 - 102583/5025499*a^6 - 1374830/5025499*a^4 + 799166/5025499*a^2 - 1559/5197, 1/5025499*a^33 - 1935/5025499*a^23 - 79355/5025499*a^21 - 691588/5025499*a^19 + 810882/5025499*a^17 - 1722004/5025499*a^15 - 1581393/5025499*a^13 + 579494/5025499*a^11 + 2294450/5025499*a^9 - 1562940/5025499*a^7 - 2076425/5025499*a^5 - 531266/5025499*a^3 - 16014/5025499*a, 1/5025499*a^34 + 795734/5025499*a^22 - 1127752/5025499*a^20 - 2499977/5025499*a^18 - 2040501/5025499*a^16 - 2083548/5025499*a^14 + 1028362/5025499*a^12 + 2037427/5025499*a^10 - 2378940/5025499*a^8 - 283061/5025499*a^6 - 1078756/5025499*a^4 - 1092006/5025499*a^2 + 1130/5197, 1/5025499*a^35 + 593/5025499*a^23 + 270241/5025499*a^21 - 306843/5025499*a^19 + 95466/5025499*a^17 - 2031578/5025499*a^15 - 889331/5025499*a^13 - 373981/5025499*a^11 + 203969/5025499*a^9 - 2377452/5025499*a^7 + 1992671/5025499*a^5 + 1828708/5025499*a^3 + 370327/5025499*a, 1/5025499*a^36 + 1931749/5025499*a^22 - 2401537/5025499*a^20 + 569903/5025499*a^18 - 736682/5025499*a^16 + 1952617/5025499*a^14 + 1010393/5025499*a^12 + 2163078/5025499*a^10 + 132146/5025499*a^8 - 2289038/5025499*a^6 - 16305/5025499*a^4 - 1621783/5025499*a^2 + 164/5197, 1/5025499*a^37 - 1535/5025499*a^23 + 1096044/5025499*a^21 + 975269/5025499*a^19 - 2342555/5025499*a^17 - 2158210/5025499*a^15 - 1582910/5025499*a^13 + 931389/5025499*a^11 + 2372053/5025499*a^9 - 1961627/5025499*a^7 - 234579/5025499*a^5 + 1537993/5025499*a^3 - 1499255/5025499*a, 1/5025499*a^38 + 218956/5025499*a^22 - 2331491/5025499*a^20 + 861619/5025499*a^18 - 281199/5025499*a^16 - 1396900/5025499*a^14 - 1270732/5025499*a^12 - 1987290/5025499*a^10 - 661077/5025499*a^8 - 642932/5025499*a^6 + 2025670/5025499*a^4 - 2274905/5025499*a^2 + 1635/5197, 1/5025499*a^39 + 682/5025499*a^23 - 2341885/5025499*a^21 + 1069499/5025499*a^19 + 2374468/5025499*a^17 + 489611/5025499*a^15 - 23452/5025499*a^13 - 1072618/5025499*a^11 + 1131888/5025499*a^9 + 2231009/5025499*a^7 - 1565457/5025499*a^5 - 783366/5025499*a^3 + 988587/5025499*a, 1/5025499*a^40 - 1736115/5025499*a^22 + 296042/5025499*a^20 + 2250609/5025499*a^18 - 88977/5025499*a^16 + 270407/5025499*a^14 + 714447/5025499*a^12 + 1173131/5025499*a^10 - 442147/5025499*a^8 - 218503/5025499*a^6 + 2162586/5025499*a^4 + 2053475/5025499*a^2 - 828/5197, 1/5025499*a^41 - 317/5025499*a^23 + 857318/5025499*a^21 + 1076087/5025499*a^19 + 2244476/5025499*a^17 - 1091207/5025499*a^15 - 1307186/5025499*a^13 + 2035833/5025499*a^11 - 1777776/5025499*a^9 + 379152/5025499*a^7 + 88983/5025499*a^5 + 1918353/5025499*a^3 + 1039062/5025499*a, 1/5025499*a^42 + 2358992/5025499*a^22 - 16050/5025499*a^20 + 84048/5025499*a^18 + 1742057/5025499*a^16 + 597374/5025499*a^14 + 1787321/5025499*a^12 - 536887/5025499*a^10 + 1842723/5025499*a^8 - 817107/5025499*a^6 + 607997/5025499*a^4 - 1887601/5025499*a^2 + 964/5197, 1/5025499*a^43 - 446/5025499*a^23 - 2042880/5025499*a^21 + 416656/5025499*a^19 + 1970725/5025499*a^17 + 1605592/5025499*a^15 - 1242530/5025499*a^13 + 1931688/5025499*a^11 - 314032/5025499*a^9 + 1770999/5025499*a^7 - 1117407/5025499*a^5 + 2509061/5025499*a^3 + 989355/5025499*a], 0, 0,0,0,0,0, [[x^2 - x - 40, 1], [x^2 - 23, 1], [x^2 - 7, 1], [x^4 - 15*x^2 + 16, 1], [x^11 - x^10 - 10*x^9 + 9*x^8 + 36*x^7 - 28*x^6 - 56*x^5 + 35*x^4 + 35*x^3 - 15*x^2 - 6*x + 1, 1], [x^22 - x^21 - 45*x^20 + 45*x^19 + 875*x^18 - 875*x^17 - 9613*x^16 + 9613*x^15 + 65459*x^14 - 65459*x^13 - 284877*x^12 + 284877*x^11 + 786739*x^10 - 786739*x^9 - 1318221*x^8 + 1318221*x^7 + 1207731*x^6 - 1207731*x^5 - 476237*x^4 + 476237*x^3 + 41907*x^2 - 41907*x - 5197, 1], [x^22 - 23*x^20 + 230*x^18 - 1311*x^16 + 4692*x^14 - 10948*x^12 + 16744*x^10 - 16445*x^8 + 9867*x^6 - 3289*x^4 + 506*x^2 - 23, 1], [x^22 - 2*x^21 - 96*x^20 + 178*x^19 + 3899*x^18 - 6608*x^17 - 87467*x^16 + 133046*x^15 + 1188426*x^14 - 1584074*x^13 - 10109060*x^12 + 11435962*x^11 + 53939118*x^10 - 49578134*x^9 - 176910567*x^8 + 124307164*x^7 + 342485752*x^6 - 168333340*x^5 - 366604062*x^4 + 109236440*x^3 + 193879860*x^2 - 25736464*x - 38604719, 1]]]