/* 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 - 69*x^42 + 2139*x^40 - 39468*x^38 + 484495*x^36 - 4193682*x^34 + 26499197*x^32 - 125010267*x^30 + 447055439*x^28 - 1224773115*x^26 + 2588447416*x^24 - 4235761650*x^22 + 5369828745*x^20 - 5258413410*x^18 + 3950328660*x^16 - 2250421545*x^14 + 955257620*x^12 - 294507525*x^10 + 63543480*x^8 - 9077640*x^6 + 785565*x^4 - 34914*x^2 + 529, 44, 2, [44, 0], 65347506006797164323533696798768413693852562329201668296707932160000000000000000000000, [2, 5, 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, 1/23*a^22, 1/23*a^23, 1/23*a^24, 1/23*a^25, 1/23*a^26, 1/23*a^27, 1/23*a^28, 1/23*a^29, 1/23*a^30, 1/23*a^31, 1/23*a^32, 1/23*a^33, 1/23*a^34, 1/23*a^35, 1/23*a^36, 1/23*a^37, 1/23*a^38, 1/23*a^39, 1/23*a^40, 1/23*a^41, 1/119065662966459206469142305042008031773*a^42 + 2366306122525813891090010977660989726/119065662966459206469142305042008031773*a^40 + 659241420377185617287538190701293598/119065662966459206469142305042008031773*a^38 - 823722461331763048903311289996699497/119065662966459206469142305042008031773*a^36 - 74633285535024869919254267388543196/5176767955063443759527926306174262251*a^34 - 1102018233721431688549009340392226645/119065662966459206469142305042008031773*a^32 + 692472151679804406039322617839847398/119065662966459206469142305042008031773*a^30 - 854781014505855961290814810941202388/119065662966459206469142305042008031773*a^28 - 699804487662845403224171832518458002/119065662966459206469142305042008031773*a^26 - 1036494116831807342490339593844649112/119065662966459206469142305042008031773*a^24 - 1395801635517096940389950280632949041/119065662966459206469142305042008031773*a^22 + 1698051835025592547271696061539685296/5176767955063443759527926306174262251*a^20 - 1318566500120216940814401688536628461/5176767955063443759527926306174262251*a^18 - 199714160702359264876728874507936990/5176767955063443759527926306174262251*a^16 - 1434525147276707909459488885610419622/5176767955063443759527926306174262251*a^14 - 948912050754673992699344456400037232/5176767955063443759527926306174262251*a^12 - 28562325843893428536399586216427882/5176767955063443759527926306174262251*a^10 + 2536880362138947577469682819431071366/5176767955063443759527926306174262251*a^8 - 2123925454680881557819778079015500742/5176767955063443759527926306174262251*a^6 + 605187513823834534390531883007438827/5176767955063443759527926306174262251*a^4 + 1044093066154803695826250555500293316/5176767955063443759527926306174262251*a^2 - 1655220652593536351987183524758208257/5176767955063443759527926306174262251, 1/119065662966459206469142305042008031773*a^43 + 2366306122525813891090010977660989726/119065662966459206469142305042008031773*a^41 + 659241420377185617287538190701293598/119065662966459206469142305042008031773*a^39 - 823722461331763048903311289996699497/119065662966459206469142305042008031773*a^37 - 74633285535024869919254267388543196/5176767955063443759527926306174262251*a^35 - 1102018233721431688549009340392226645/119065662966459206469142305042008031773*a^33 + 692472151679804406039322617839847398/119065662966459206469142305042008031773*a^31 - 854781014505855961290814810941202388/119065662966459206469142305042008031773*a^29 - 699804487662845403224171832518458002/119065662966459206469142305042008031773*a^27 - 1036494116831807342490339593844649112/119065662966459206469142305042008031773*a^25 - 1395801635517096940389950280632949041/119065662966459206469142305042008031773*a^23 + 1698051835025592547271696061539685296/5176767955063443759527926306174262251*a^21 - 1318566500120216940814401688536628461/5176767955063443759527926306174262251*a^19 - 199714160702359264876728874507936990/5176767955063443759527926306174262251*a^17 - 1434525147276707909459488885610419622/5176767955063443759527926306174262251*a^15 - 948912050754673992699344456400037232/5176767955063443759527926306174262251*a^13 - 28562325843893428536399586216427882/5176767955063443759527926306174262251*a^11 + 2536880362138947577469682819431071366/5176767955063443759527926306174262251*a^9 - 2123925454680881557819778079015500742/5176767955063443759527926306174262251*a^7 + 605187513823834534390531883007438827/5176767955063443759527926306174262251*a^5 + 1044093066154803695826250555500293316/5176767955063443759527926306174262251*a^3 - 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(1593444087089044910555752904049810270803754930)/(5176767955063443759527926306174262251)*a^(16) + (1038655250857104110893884620736317820596084445)/(5176767955063443759527926306174262251)*a^(14) - (497835376028731351430248133795389220346374235)/(5176767955063443759527926306174262251)*a^(12) + (170990032942184649522995314247277418891945290)/(5176767955063443759527926306174262251)*a^(10) - (40540347769465239875205573918351606333241360)/(5176767955063443759527926306174262251)*a^(8) + (6275754194298762332010763510465919224697193)/(5176767955063443759527926306174262251)*a^(6) - (580084157372240934187327409096084141574517)/(5176767955063443759527926306174262251)*a^(4) + (27101345770457255804271412589209954579815)/(5176767955063443759527926306174262251)*a^(2) - (431630947170348718039844135943025112804)/(5176767955063443759527926306174262251) , (22998794926619152068187134462760404588)/(119065662966459206469142305042008031773)*a^(42) - (1569948409767242562923914391382544948769)/(119065662966459206469142305042008031773)*a^(40) + (48036616999633933991774116874498730916737)/(119065662966459206469142305042008031773)*a^(38) - 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