/* 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^32 - 12*x^30 + 102*x^28 - 452*x^26 + 1409*x^24 - 1772*x^22 + 2946*x^20 - 15768*x^18 + 33540*x^16 - 20668*x^14 + 94478*x^12 - 7132*x^10 + 205785*x^8 + 131700*x^6 + 83794*x^4 + 9720*x^2 + 2025, 32, 12882, [0, 16], 38559672304350233766313499377700700160000000000000000, [2, 5, 31, 89], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/8*a^12 + 1/4*a^10 - 1/4*a^6 - 1/2*a^2 + 1/8, 1/8*a^13 + 1/4*a^11 - 1/4*a^7 - 1/2*a^3 + 1/8*a, 1/8*a^14 - 1/2*a^10 - 1/4*a^8 - 1/2*a^6 - 1/2*a^4 + 1/8*a^2 - 1/4, 1/8*a^15 - 1/2*a^11 - 1/4*a^9 - 1/2*a^7 - 1/2*a^5 + 1/8*a^3 - 1/4*a, 1/8*a^16 - 1/4*a^10 - 1/2*a^8 - 1/2*a^6 + 1/8*a^4 - 1/4*a^2 - 1/2, 1/8*a^17 - 1/4*a^11 - 1/2*a^9 - 1/2*a^7 + 1/8*a^5 - 1/4*a^3 - 1/2*a, 1/40*a^18 + 1/20*a^16 + 1/40*a^12 - 1/20*a^10 - 1/10*a^8 - 1/8*a^6 - 1/5*a^4 - 1/10*a^2 - 1/8, 1/40*a^19 + 1/20*a^17 + 1/40*a^13 - 1/20*a^11 - 1/10*a^9 - 1/8*a^7 - 1/5*a^5 - 1/10*a^3 - 1/8*a, 1/40*a^20 + 1/40*a^16 + 1/40*a^14 + 1/40*a^12 - 17/40*a^8 + 3/10*a^6 + 17/40*a^4 + 13/40*a^2 - 1/8, 1/240*a^21 - 1/120*a^19 - 1/80*a^18 + 1/20*a^17 - 1/40*a^16 + 11/240*a^15 + 7/120*a^13 - 1/80*a^12 - 3/20*a^11 + 1/40*a^10 + 71/240*a^9 + 1/20*a^8 - 17/60*a^7 + 1/16*a^6 + 1/5*a^5 + 1/10*a^4 + 101/240*a^3 - 9/20*a^2 + 5/12*a - 7/16, 1/240*a^22 - 1/120*a^20 - 1/80*a^19 - 1/40*a^17 - 13/240*a^16 + 7/120*a^14 - 1/80*a^13 + 1/20*a^12 + 1/40*a^11 - 5/48*a^10 + 1/20*a^9 - 1/12*a^8 + 1/16*a^7 - 1/20*a^6 + 1/10*a^5 - 43/240*a^4 - 9/20*a^3 - 23/60*a^2 - 7/16*a - 1/2, 1/240*a^23 - 1/80*a^20 + 1/120*a^19 - 7/240*a^17 + 1/20*a^16 + 1/40*a^15 - 1/80*a^14 - 7/120*a^13 + 1/20*a^12 - 49/240*a^11 + 19/120*a^9 - 3/80*a^8 - 29/120*a^7 - 1/40*a^6 + 19/48*a^5 + 7/20*a^4 + 29/60*a^3 + 37/80*a^2 - 7/24*a - 1/8, 1/960*a^24 - 1/240*a^20 - 1/80*a^19 - 1/240*a^18 - 1/40*a^17 + 3/80*a^16 + 1/24*a^14 - 1/80*a^13 + 19/480*a^12 + 1/40*a^11 + 19/120*a^10 + 1/20*a^9 + 1/30*a^8 + 1/16*a^7 - 13/240*a^6 + 1/10*a^5 + 1/48*a^4 - 9/20*a^3 + 1/3*a^2 - 7/16*a + 31/64, 1/960*a^25 - 1/80*a^20 - 1/80*a^19 - 1/80*a^18 - 3/80*a^17 + 1/40*a^16 - 3/80*a^15 - 1/80*a^14 - 13/480*a^13 + 3/80*a^12 - 59/120*a^11 + 1/40*a^10 + 19/240*a^9 + 1/80*a^8 - 7/80*a^7 + 3/80*a^6 - 97/240*a^5 + 9/20*a^4 + 91/240*a^3 + 1/80*a^2 - 91/192*a + 7/16, 1/36480*a^26 + 1/2432*a^24 - 1/760*a^22 - 1/760*a^20 + 23/3040*a^18 - 1/76*a^16 - 113/3648*a^14 + 871/18240*a^12 - 2957/9120*a^10 + 1171/3040*a^8 - 3109/9120*a^6 - 1549/4560*a^4 + 6577/36480*a^2 + 877/2432, 1/36480*a^27 + 1/2432*a^25 - 1/760*a^23 - 1/760*a^21 + 23/3040*a^19 - 1/76*a^17 - 113/3648*a^15 + 871/18240*a^13 - 2957/9120*a^11 + 1171/3040*a^9 - 3109/9120*a^7 - 1549/4560*a^5 + 6577/36480*a^3 + 877/2432*a, 1/10068480*a^28 + 1/629280*a^26 + 841/10068480*a^24 + 1261/1258560*a^22 - 947/132480*a^20 - 1/80*a^19 + 101/21888*a^18 - 1/40*a^17 - 271517/5034240*a^16 + 13073/2517120*a^14 - 1/80*a^13 + 84979/5034240*a^12 + 1/40*a^11 - 375181/1258560*a^10 + 1/20*a^9 - 52249/104880*a^8 + 1/16*a^7 - 107629/2517120*a^6 + 1/10*a^5 + 93247/437760*a^4 - 9/20*a^3 + 1095989/2517120*a^2 - 7/16*a + 101841/223744, 1/100684800*a^29 - 1/20136960*a^28 - 341/25171200*a^27 + 13/1006848*a^26 + 2321/20136960*a^25 - 7189/20136960*a^24 + 9541/12585600*a^23 - 2917/2517120*a^22 + 51007/25171200*a^21 - 37759/5034240*a^20 + 1381/1094400*a^19 - 103/11520*a^18 + 751891/50342400*a^17 - 72215/2013696*a^16 - 1191253/25171200*a^15 + 55789/5034240*a^14 - 2574833/50342400*a^13 + 333713/10068480*a^12 - 1135147/12585600*a^11 + 774691/2517120*a^10 + 19235/83904*a^9 - 61177/139840*a^8 - 8539153/25171200*a^7 + 2091793/5034240*a^6 + 1072063/4377600*a^5 - 130687/875520*a^4 - 1557073/6292800*a^3 + 15959/39330*a^2 - 2306633/6712320*a - 101565/447488, 1/135200509996728019630003200*a^30 + 478122052746002761/135200509996728019630003200*a^28 - 20701607061242350747/27040101999345603926000640*a^26 - 54728391848194482589807/135200509996728019630003200*a^24 - 7506844452578063273183/33800127499182004907500800*a^22 - 62629145208198218815661/16900063749591002453750400*a^20 - 743724575154589709033039/67600254998364009815001600*a^18 + 4164074096698484998619869/67600254998364009815001600*a^16 + 1663148529099055364161477/67600254998364009815001600*a^14 - 2284865359844133137054833/67600254998364009815001600*a^12 - 436742930818162698559999/1126670916639400163583360*a^10 - 10538077574052117874170613/33800127499182004907500800*a^8 + 53202575051389789648881749/135200509996728019630003200*a^6 + 661502617772638557255359/3144197906900651619302400*a^4 + 52204387217847670601559/158129251458161426467840*a^2 + 258309675393713979702845/600891155541013420577792, 1/405601529990184058890009600*a^31 - 36028645312072627/16900063749591002453750400*a^29 - 1/20136960*a^28 + 603804278736222662509/45066836665576006543334400*a^27 + 13/1006848*a^26 + 31528620745763646059317/101400382497546014722502400*a^25 - 7189/20136960*a^24 + 204063541087885574901239/101400382497546014722502400*a^23 - 2917/2517120*a^22 + 36855353026393207207739/20280076499509202944500480*a^21 + 25169/5034240*a^20 - 575305747373955012680951/67600254998364009815001600*a^19 - 103/11520*a^18 - 365781087376134003314701/6760025499836400981500160*a^17 + 394061/10068480*a^16 + 165127018277164422199973/7511139444262667757222400*a^15 + 118717/5034240*a^14 - 242102315835226184197837/25350095624386503680625600*a^13 - 169711/10068480*a^12 - 1873190709862225921002421/25350095624386503680625600*a^11 + 145411/2517120*a^10 - 21040432693953128280605233/101400382497546014722502400*a^9 + 13987/139840*a^8 + 32494055151143621989421779/135200509996728019630003200*a^7 - 299471/5034240*a^6 - 35818194839166176236489/786049476725162904825600*a^5 - 327679/875520*a^4 - 102590339053894995950136983/405601529990184058890009600*a^3 - 96509/314640*a^2 - 137244485434597898086063/751113944426266775722240*a + 178115/447488], 1, 96, [2, 2, 24], 1, [ (485450893471)/(7857700169333760)*a^(30) - (6160434374317)/(7857700169333760)*a^(28) + (10715733541147)/(1571540033866752)*a^(26) - (28230209629037)/(873077796592640)*a^(24) + (23313402331647)/(218269449148160)*a^(22) - (56126788916219)/(327404173722240)*a^(20) + (205981969444747)/(785770016933376)*a^(18) - (4314019703029513)/(3928850084666880)*a^(16) + (10750729893203699)/(3928850084666880)*a^(14) - (1204321125015843)/(436538898296320)*a^(12) + (6708774657111461)/(982212521166720)*a^(10) - (369906117718733)/(85409784449280)*a^(8) + (20456726515179167)/(1571540033866752)*a^(6) - (10104727857611)/(182737213240320)*a^(4) + (2296123592733023)/(7857700169333760)*a^(2) - (288636099896213)/(174615559318528) , (23926654959228178898941)/(202800764995092029445004800)*a^(31) - (68439044336341)/(566129571951078900)*a^(30) - (97561943148784947238697)/(67600254998364009815001600)*a^(29) + (3270100989364621)/(2264518287804315600)*a^(28) + (278256626914203640742797)/(22533418332788003271667200)*a^(27) - (277186166046383)/(22645182878043156)*a^(26) - (11345053577784945960710147)/(202800764995092029445004800)*a^(25) + (13545497005033467)/(251613143089368400)*a^(24) + (8975960404047659159230493)/(50700191248773007361251200)*a^(23) - (62729908835378737)/(377419714634052600)*a^(22) - (6090883099234287458234353)/(25350095624386503680625600)*a^(21) + (37699913855446811)/(188709857317026300)*a^(20) + (12570765020404668462687343)/(33800127499182004907500800)*a^(19) - (371516996990393069)/(1132259143902157800)*a^(18) - (64378328437469481843300541)/(33800127499182004907500800)*a^(17) + (1055436205618775837)/(566129571951078900)*a^(16) + (16282444460222995669445027)/(3755569722131333878611200)*a^(15) - (24073650673738622)/(6153582303816075)*a^(14) - (316082259865889501537860637)/(101400382497546014722502400)*a^(13) + (98824964926879898)/(47177464329256575)*a^(12) + (281881891476550198160268739)/(25350095624386503680625600)*a^(11) - (129712779028487929)/(11918517304233240)*a^(10) - (146081010868187513084955073)/(50700191248773007361251200)*a^(9) - (44181913342472963)/(566129571951078900)*a^(8) + (1556280748664262126022784491)/(67600254998364009815001600)*a^(7) - (26793580473445602293)/(1132259143902157800)*a^(6) + (16101600103400362727299361)/(1572098953450325809651200)*a^(5) - (926749603943544751)/(52663215995449200)*a^(4) + (694666662179833388096990701)/(202800764995092029445004800)*a^(3) - (230246766162645313)/(28306478597553945)*a^(2) - (3058540993687428836804961)/(1502227888852533551444480)*a - (17586593124220831)/(10064525723574736) , (852580586678542515593)/(2204356141251000320054400)*a^(31) + (485450893471)/(7857700169333760)*a^(30) - (2295868160885707958183)/(489856920278000071123200)*a^(29) - (6160434374317)/(7857700169333760)*a^(28) + (29373669993091900114717)/(734785380417000106684800)*a^(27) + (10715733541147)/(1571540033866752)*a^(26) - (790020434463755922360227)/(4408712282502000640108800)*a^(25) - (28230209629037)/(873077796592640)*a^(24) + (19397570730256402906543)/(34443064707046880000850)*a^(23) + (23313402331647)/(218269449148160)*a^(22) - (813693147738502660442363)/(1102178070625500160027200)*a^(21) - (56126788916219)/(327404173722240)*a^(20) + (72403676035265480027563)/(61232115034750008890400)*a^(19) + (205981969444747)/(785770016933376)*a^(18) - (4534144764922932109404323)/(734785380417000106684800)*a^(17) - (4314019703029513)/(3928850084666880)*a^(16) + (499333186302734077407733)/(36739269020850005334240)*a^(15) + (10750729893203699)/(3928850084666880)*a^(14) - (20137207440781531150712849)/(2204356141251000320054400)*a^(13) - (1204321125015843)/(436538898296320)*a^(12) + (20135379223434202106272441)/(551089035312750080013600)*a^(11) + (6708774657111461)/(982212521166720)*a^(10) - (3318706040616128014757459)/(551089035312750080013600)*a^(9) - (369906117718733)/(85409784449280)*a^(8) + (11365126651425010287553553)/(146957076083400021336960)*a^(7) + (20456726515179167)/(1571540033866752)*a^(6) + (19520781047000440218899)/(455680856072558205696)*a^(5) - (10104727857611)/(182737213240320)*a^(4) + (48182660392860736939662317)/(2204356141251000320054400)*a^(3) + (2296123592733023)/(7857700169333760)*a^(2) - (19953436740763345551467)/(97971384055600014224640)*a - (114020540577685)/(174615559318528) , (54765448667812407077713)/(202800764995092029445004800)*a^(31) + (17444737762259433779)/(554100450806262375532800)*a^(30) - (48940819751753603717291)/(15022278888525335514444800)*a^(29) - (797721640697745925739)/(2216401803225049502131200)*a^(28) + (1876642796998327203207677)/(67600254998364009815001600)*a^(27) + (82720657858876588607)/(27705022540313118776640)*a^(26) - (50266212941854956914364517)/(405601529990184058890009600)*a^(25) - (3021853031538510692423)/(246266867025005500236800)*a^(24) + (9866309809046703075146149)/(25350095624386503680625600)*a^(23) + (1080403624176287795499)/(30783358378125687529600)*a^(22) - (51405748989479122163891353)/(101400382497546014722502400)*a^(21) - (4631279378988442213499)/(184700150268754125177600)*a^(20) + (590978871717978647887681)/(704169322899625102239600)*a^(19) + (23657685460524373385033)/(554100450806262375532800)*a^(18) - (292584322874991733505650573)/(67600254998364009815001600)*a^(17) - (459049312391919115804601)/(1108200901612524751065600)*a^(16) + (15820166698823183294962009)/(1690006374959100245375040)*a^(15) + (400457465300864504161781)/(554100450806262375532800)*a^(14) - (1277331890138232441463068199)/(202800764995092029445004800)*a^(13) + (18068441015855589882523)/(123133433512502750118400)*a^(12) + (1327862641257167327891013431)/(50700191248773007361251200)*a^(11) + (23687731950593649308173)/(11082009016125247510656)*a^(10) - (195367174076409996411883459)/(50700191248773007361251200)*a^(9) + (4376832799313959175797)/(2164454885961962404425)*a^(8) + (763926923467738813503489013)/(13520050999672801963000320)*a^(7) + (1347802053430317658968463)/(277050225403131187766400)*a^(6) + (6708606771004730954510713)/(209613193793376774620160)*a^(5) + (437300365959485342291879)/(51544227981977895398400)*a^(4) + (4464435048576895711183469977)/(202800764995092029445004800)*a^(3) + (225350291504426872928873)/(110820090161252475106560)*a^(2) + (22738935509451602336197283)/(9013367333115201308666880)*a + (15508948287601798699861)/(9850674681000220009472) , (119406152705635404169)/(17634849130008002560435200)*a^(31) - (36945510999401837547)/(246266867025005500236800)*a^(30) - (1574089109572265505349)/(33800127499182004907500800)*a^(29) + (27839578756473121643)/(15391679189062843764800)*a^(28) + (2221228009291804964647)/(9013367333115201308666880)*a^(27) - (2272771753243375260217)/(147760120215003300142080)*a^(26) + (41225892191177296396837)/(50700191248773007361251200)*a^(25) + (183065050051413193247)/(2676813772010929350400)*a^(24) - (911580633118986739945391)/(101400382497546014722502400)*a^(23) - (39289010824578428329847)/(184700150268754125177600)*a^(22) + (5017339583245525922239901)/(101400382497546014722502400)*a^(21) + (49106108006422643979937)/(184700150268754125177600)*a^(20) - (236834589914467655410247)/(2939141521668000426739200)*a^(19) - (51345549996283848940137)/(123133433512502750118400)*a^(18) + (1448157522575306463108143)/(33800127499182004907500800)*a^(17) + (429229741657611929055503)/(184700150268754125177600)*a^(16) - (2964222822498670326068653)/(7511139444262667757222400)*a^(15) - 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