/* 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^27 - 513*x^25 + 116964*x^23 - 15617943*x^21 + 1354686795*x^19 - 124146*x^18 - 80025043581*x^17 + 42457932*x^16 + 3282297025608*x^15 - 6050255310*x^14 - 93545465229828*x^13 + 464928508044*x^12 + 1824136571981646*x^11 - 20822155324542*x^10 - 23533430642034312*x^9 + 547782855461028*x^8 + 189345054725982270*x^7 - 8095013308479636*x^6 - 856864467175196223*x^5 + 59924124491342760*x^4 + 1775016705261914199*x^3 - 170783754800326866*x^2 - 920607736797292131*x + 249008793852866527, 27, 1, [27, 0], 3463254175600113063839837232871102966170246194081956872095753304432278349849, [3, 19], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/19*a^9, 1/323*a^10 + 6/17*a^8 + 1/17*a^6 - 8/17*a^4 + 5/17*a^2 + 4/17, 1/323*a^11 - 5/323*a^9 + 1/17*a^7 - 8/17*a^5 + 5/17*a^3 + 4/17*a, 1/323*a^12 - 3/17*a^8 - 3/17*a^6 - 1/17*a^4 - 5/17*a^2 + 3/17, 1/323*a^13 - 6/323*a^9 - 3/17*a^7 - 1/17*a^5 - 5/17*a^3 + 3/17*a, 1/104329*a^14 - 3/5491*a^13 + 3/5491*a^12 - 7/5491*a^11 + 1/5491*a^10 + 104/5491*a^9 - 97/289*a^8 + 2/289*a^7 + 3/289*a^6 - 511/5491*a^5 - 29/289*a^4 - 3/289*a^3 + 32/289*a^2 + 14/289*a - 94/289, 1/104329*a^15 + 2/5491*a^13 - 6/5491*a^12 - 7/5491*a^11 + 8/5491*a^10 - 46/5491*a^9 + 134/289*a^8 - 2/289*a^7 - 1461/5491*a^6 + 53/289*a^5 + 27/289*a^4 + 99/289*a^3 - 100/289*a^2 - 112/289*a - 122/289, 1/104329*a^16 + 6/5491*a^13 - 2/5491*a^12 + 2/5491*a^11 + 1/5491*a^10 - 12/5491*a^9 + 80/289*a^8 - 2259/5491*a^7 - 44/289*a^6 - 141/289*a^5 + 113/289*a^4 + 31/289*a^3 - 53/289*a^2 - 25/289*a - 66/289, 1/104329*a^17 - 7/5491*a^10 + 2/323*a^9 - 1138/5491*a^8 - 3/17*a^7 + 61/289*a^6 + 5/17*a^5 + 22/289*a^4 + 1/17*a^3 + 135/289*a^2 - 98/289*a + 74/289, 1/4921540511596649*a^18 - 18/259028447978771*a^16 + 135/13633076209409*a^14 - 546/717530326811*a^12 + 24453/717530326811*a^10 + 23487485883/896292207539*a^9 - 643302/717530326811*a^8 - 22694276623/47173274081*a^7 + 9506574/717530326811*a^6 + 1047124596/2482803899*a^5 - 70373340/717530326811*a^4 - 588329902/2482803899*a^3 + 200564019/717530326811*a^2 - 619005797/2482803899*a - 302996942232/717530326811, 1/4921540511596649*a^19 - 18/259028447978771*a^17 + 135/13633076209409*a^15 - 546/717530326811*a^13 + 24453/717530326811*a^11 + 21901067363/15236967528163*a^10 - 643302/717530326811*a^9 - 244282880348/801945659377*a^8 + 9506574/717530326811*a^7 - 2061313060/42207666283*a^6 - 70373340/717530326811*a^5 - 19932823930/42207666283*a^4 + 200564019/717530326811*a^3 + 16787744340/42207666283*a^2 - 302996942232/717530326811*a + 2/17, 1/4921540511596649*a^20 - 189/13633076209409*a^16 + 1884/717530326811*a^14 - 162279/717530326811*a^12 + 21901067363/15236967528163*a^11 + 7719624/717530326811*a^10 + 20830529438/801945659377*a^9 - 210502710/717530326811*a^8 + 17754976997/42207666283*a^7 + 3180874968/717530326811*a^6 - 9854367538/42207666283*a^5 - 1403948133/42207666283*a^4 + 15058663035/42207666283*a^3 - 234404047734/717530326811*a^2 - 6282461905/42207666283*a - 300587182560/717530326811, 1/93509269720336331*a^21 - 189/259028447978771*a^17 + 1884/13633076209409*a^15 - 8541/717530326811*a^13 - 213965303042/289502383035097*a^12 + 406296/717530326811*a^11 + 8416509943/15236967528163*a^10 - 11079090/717530326811*a^9 - 314940745469/801945659377*a^8 + 167414472/717530326811*a^7 - 1433368149/42207666283*a^6 - 73892007/42207666283*a^5 + 2229973996/42207666283*a^4 + 5505838566754/13633076209409*a^3 - 18102304851/42207666283*a^2 + 286297654312/717530326811*a + 8/17, 1/93509269720336331*a^22 - 1518/13633076209409*a^16 + 16974/717530326811*a^14 - 213965303042/289502383035097*a^13 - 1554390/717530326811*a^12 + 8416509943/15236967528163*a^11 + 76731633/717530326811*a^10 + 20705412870/801945659377*a^9 - 2142683010/717530326811*a^8 + 16703179176/42207666283*a^7 + 32881943115/717530326811*a^6 - 146214431/332343829*a^5 + 41431526582/801945659377*a^4 - 15153825412/42207666283*a^3 + 288992719730/717530326811*a^2 + 7276865018/42207666283*a - 286044109636/717530326811, 1/132623542679464975902983*a^23 - 7307/6980186456813946100157*a^22 - 23/6980186456813946100157*a^21 + 11460/367378234569155057903*a^20 + 230/367378234569155057903*a^19 + 86/1463658305056394653*a^18 - 69/1017668239803753623*a^17 + 9953358/1137393915074783461*a^16 + 276/59862837635514919*a^15 - 3262441377629281/6980186456813946100157*a^14 + 190513089538994442/367378234569155057903*a^13 + 45552628296298868/367378234569155057903*a^12 - 18015849341813642/19335696556271318837*a^11 - 10900512143512378/19335696556271318837*a^10 - 466927034003799256/19335696556271318837*a^9 + 660916643477726/8013135746486249*a^8 - 396122637930744426/1017668239803753623*a^7 + 21267066702872347/53561486305460717*a^6 + 1359888344001207893/19335696556271318837*a^5 + 483750408333814846/1017668239803753623*a^4 + 6628717431711308/59862837635514919*a^3 - 25662566396204443/53561486305460717*a^2 - 7818811594503938/53561486305460717*a + 13840120823380097/53561486305460717, 1/132623542679464975902983*a^24 - 24/6980186456813946100157*a^22 + 10461/6980186456813946100157*a^21 + 252/367378234569155057903*a^20 + 60/5174341331959930393*a^19 - 80/1017668239803753623*a^18 - 2053809/19335696556271318837*a^17 + 18/3150675665027101*a^16 - 3248972368273417/6980186456813946100157*a^15 - 864/3150675665027101*a^14 + 48736043617173396/367378234569155057903*a^13 - 335476550520986201/367378234569155057903*a^12 + 6895725699072821/19335696556271318837*a^11 - 21439857720584760/19335696556271318837*a^10 + 665542376974565/59862837635514919*a^9 - 69198561983464750/1017668239803753623*a^8 - 184871749323154/53561486305460717*a^7 - 9460407153144328301/19335696556271318837*a^6 + 16954710008558046/53561486305460717*a^5 - 62823318771283680/1017668239803753623*a^4 - 468705783899551182/1017668239803753623*a^3 + 24081995131594739/53561486305460717*a^2 + 10474273006187475/53561486305460717*a - 14081330434424903/53561486305460717, 1/2519847310909834542156677*a^25 - 33381/6980186456813946100157*a^22 - 300/6980186456813946100157*a^21 - 19395/367378234569155057903*a^20 + 4000/367378234569155057903*a^19 + 31842/367378234569155057903*a^18 - 1350/1017668239803753623*a^17 + 130569014791592202/132623542679464975902983*a^16 + 5760/59862837635514919*a^15 - 29320576974813321/6980186456813946100157*a^14 + 71641213727585988/367378234569155057903*a^13 - 471546174124900292/367378234569155057903*a^12 + 16527923431311818/19335696556271318837*a^11 - 19968263386996534/19335696556271318837*a^10 + 110496777479105000/19335696556271318837*a^9 + 111130298165984986/1017668239803753623*a^8 + 112521930968529663715/367378234569155057903*a^7 - 5026286352257485/53561486305460717*a^6 + 3515713422080962742/19335696556271318837*a^5 + 377307808334068257/1017668239803753623*a^4 - 218167473375897745/1017668239803753623*a^3 + 1373697770540533/3150675665027101*a^2 + 9309294992951102/53561486305460717*a + 6494847862009434/53561486305460717, 1/2519847310909834542156677*a^26 - 325/6980186456813946100157*a^22 - 26602/6980186456813946100157*a^21 + 4550/367378234569155057903*a^20 - 28073/367378234569155057903*a^19 + 10551/367378234569155057903*a^18 + 7680116193538533/7801384863497939758999*a^17 - 491514/1137393915074783461*a^16 - 29242373197983654/6980186456813946100157*a^15 + 4371780/59862837635514919*a^14 - 256883036744247258/367378234569155057903*a^13 + 325451868939448777/367378234569155057903*a^12 - 945488097134398/19335696556271318837*a^11 + 1804225447715853/19335696556271318837*a^10 + 172993860239677697/19335696556271318837*a^9 - 711645988550529090/2892742004481535889*a^8 - 473804344395819598/1017668239803753623*a^7 + 261428409989759749/19335696556271318837*a^6 - 14006338704601158/53561486305460717*a^5 + 2567442884285488/14333355490193713*a^4 + 16103571645164588/59862837635514919*a^3 - 195347946342993/53561486305460717*a^2 + 543372572120461/53561486305460717*a - 24604977589704228/53561486305460717], 0, 9, [9], 1, [ (16652)/(4921540511596649)*a^(18) - (299736)/(259028447978771)*a^(16) + (2248020)/(13633076209409)*a^(14) - (9091992)/(717530326811)*a^(12) + (407191356)/(717530326811)*a^(10) - (481855)/(896292207539)*a^(9) - (10712264904)/(717530326811)*a^(8) + (4336695)/(47173274081)*a^(7) + (158303470248)/(717530326811)*a^(6) - (13010085)/(2482803899)*a^(5) - (1171856857680)/(717530326811)*a^(4) + (274657350)/(2482803899)*a^(3) + (3339792044388)/(717530326811)*a^(2) - (1565546895)/(2482803899)*a - (1266884565934)/(717530326811) , (31163)/(4921540511596649)*a^(18) - (560934)/(259028447978771)*a^(16) + (4207005)/(13633076209409)*a^(14) - (17014998)/(717530326811)*a^(12) + (762028839)/(717530326811)*a^(10) + (1931133)/(896292207539)*a^(9) - (20047220226)/(717530326811)*a^(8) - (17380197)/(47173274081)*a^(7) + (296253365562)/(717530326811)*a^(6) + (52140591)/(2482803899)*a^(5) - (2193044394420)/(717530326811)*a^(4) - (1100745810)/(2482803899)*a^(3) + (6250176524097)/(717530326811)*a^(2) + (6274251117)/(2482803899)*a - (2464731250300)/(717530326811) , (859189073)/(132623542679464975902983)*a^(24) - (20620537752)/(6980186456813946100157)*a^(22) - (1880901841)/(6980186456813946100157)*a^(21) + (216515646396)/(367378234569155057903)*a^(20) + (39498938661)/(367378234569155057903)*a^(19) - (24829344361013)/(367378234569155057903)*a^(18) - (355490447949)/(19335696556271318837)*a^(17) + (44093807748)/(8955857599014043)*a^(16) + (12295075880781219)/(6980186456813946100157)*a^(15) - (14231220229683)/(59862837635514919)*a^(14) - (38127599262786825)/(367378234569155057903)*a^(13) + (2831421064321422768)/(367378234569155057903)*a^(12) + (75152129680342917)/(19335696556271318837)*a^(11) - (3216921919011087417)/(19335696556271318837)*a^(10) - (105121811732709689)/(1137393915074783461)*a^(9) + (2364545839517317359)/(1017668239803753623)*a^(8) + (1378690261229840877)/(1017668239803753623)*a^(7) - (384371258241191848214)/(19335696556271318837)*a^(6) - (615821920953161958)/(53561486305460717)*a^(5) + (96358232655320255706)/(1017668239803753623)*a^(4) + (51357631418049881278)/(1017668239803753623)*a^(3) - (11133722180207690991)/(53561486305460717)*a^(2) - (4814440747521369024)/(53561486305460717)*a + (6613890416039927678)/(53561486305460717) , (1031314833)/(132623542679464975902983)*a^(24) - (24751555992)/(6980186456813946100157)*a^(22) + (277702267)/(6980186456813946100157)*a^(21) + (259891337916)/(367378234569155057903)*a^(20) - (5831747607)/(367378234569155057903)*a^(19) - (1567621910671)/(19335696556271318837)*a^(18) + (52485728463)/(19335696556271318837)*a^(17) + (352734411780)/(59862837635514919)*a^(16) - (1778640203374129)/(6980186456813946100157)*a^(15) - (891241557417)/(3150675665027101)*a^(14) + (5079626358948915)/(367378234569155057903)*a^(13) + (3328480800237235322)/(367378234569155057903)*a^(12) - (7797782627447319)/(19335696556271318837)*a^(11) - (3695265236386282425)/(19335696556271318837)*a^(10) + (222981907299178)/(59862837635514919)*a^(9) + (2605481845873319547)/(1017668239803753623)*a^(8) + (5948309108402586)/(53561486305460717)*a^(7) - (394096704511222101199)/(19335696556271318837)*a^(6) - (182062224683469621)/(53561486305460717)*a^(5) + (87479343611704745322)/(1017668239803753623)*a^(4) + (31670056696302941908)/(1017668239803753623)*a^(3) - (8109280491634750464)/(53561486305460717)*a^(2) - (4630558586241026397)/(53561486305460717)*a + (10112188844507786)/(421743986657171) , (253030955)/(132623542679464975902983)*a^(24) - (6072742920)/(6980186456813946100157)*a^(22) - (2561931570)/(6980186456813946100157)*a^(21) + (63763800660)/(367378234569155057903)*a^(20) + (53800562970)/(367378234569155057903)*a^(19) - (384583687089)/(19335696556271318837)*a^(18) - (484205066730)/(19335696556271318837)*a^(17) + (344668716)/(238497361097669)*a^(16) + (16729327101528728)/(6980186456813946100157)*a^(15) - (218433203415)/(3150675665027101)*a^(14) - (51670153360866720)/(367378234569155057903)*a^(13) + (814457739105168219)/(367378234569155057903)*a^(12) + (100787679345032910)/(19335696556271318837)*a^(11) - (900452789729793603)/(19335696556271318837)*a^(10) - (7250172153549770)/(59862837635514919)*a^(9) + (626675442925257423)/(1017668239803753623)*a^(8) + (90547899942098160)/(53561486305460717)*a^(7) - (90453175928473595793)/(19335696556271318837)*a^(6) - (689623572680873046)/(53561486305460717)*a^(5) + (16730464089382263819)/(1017668239803753623)*a^(4) + (43525661346199238766)/(1017668239803753623)*a^(3) - (613661411826837540)/(53561486305460717)*a^(2) - (1312406467425140238)/(53561486305460717)*a + (388420850948978016)/(53561486305460717) , (495888192)/(132623542679464975902983)*a^(24) - (11901316608)/(6980186456813946100157)*a^(22) - (4284134608)/(6980186456813946100157)*a^(21) + (124963824384)/(367378234569155057903)*a^(20) + (89966826768)/(367378234569155057903)*a^(19) - (14305287052187)/(367378234569155057903)*a^(18) - (809701440912)/(19335696556271318837)*a^(17) + (3205378483974)/(1137393915074783461)*a^(16) + (27958516597620583)/(6980186456813946100157)*a^(15) - (8013728152557)/(59862837635514919)*a^(14) - (86153217971384265)/(367378234569155057903)*a^(13) + (1539815837404547489)/(367378234569155057903)*a^(12) + (167033550285734886)/(19335696556271318837)*a^(11) - (1633553404119897747)/(19335696556271318837)*a^(10) - (225215490372351320)/(1137393915074783461)*a^(9) + (1053091621367095824)/(1017668239803753623)*a^(8) + (38515474059765165)/(14333355490193713)*a^(7) - (132551173475661158153)/(19335696556271318837)*a^(6) - (1035374982283036773)/(53561486305460717)*a^(5) + (19366620733947972117)/(1017668239803753623)*a^(4) + (816470149433428155)/(14333355490193713)*a^(3) - (658926778612829508)/(53561486305460717)*a^(2) - (1665492733312059429)/(53561486305460717)*a + (383860281673917432)/(53561486305460717) , (153319281)/(132623542679464975902983)*a^(24) - (3679662744)/(6980186456813946100157)*a^(22) + (3306804647)/(6980186456813946100157)*a^(21) + (38636458812)/(367378234569155057903)*a^(20) - (69442897587)/(367378234569155057903)*a^(19) - (4443380842344)/(367378234569155057903)*a^(18) + (624986078283)/(19335696556271318837)*a^(17) + (1012701636594)/(1137393915074783461)*a^(16) - (21599939636450661)/(6980186456813946100157)*a^(15) - (155302143048)/(3521343390324407)*a^(14) + (66792323890174095)/(367378234569155057903)*a^(13) + (552712707949180134)/(367378234569155057903)*a^(12) - (130686834151629459)/(19335696556271318837)*a^(11) - (9660857349556800)/(272333754313680547)*a^(10) + (10579665163926527)/(66905524416163733)*a^(9) + (576895389619553181)/(1017668239803753623)*a^(8) - (2279658089922210747)/(1017668239803753623)*a^(7) - (446536670198743965)/(77034647634547087)*a^(6) + (945071818277933466)/(53561486305460717)*a^(5) + (33890947634815817220)/(1017668239803753623)*a^(4) - (65594354044726734593)/(1017668239803753623)*a^(3) - (4099466506392801567)/(53561486305460717)*a^(2) + (3515726494304382237)/(53561486305460717)*a - (714255281950676114)/(53561486305460717) , (643423484)/(132623542679464975902983)*a^(24) - (15442163616)/(6980186456813946100157)*a^(22) + (2278932746)/(6980186456813946100157)*a^(21) + (162142717968)/(367378234569155057903)*a^(20) - (47857587666)/(367378234569155057903)*a^(19) - (18566550210856)/(367378234569155057903)*a^(18) + (430718288994)/(19335696556271318837)*a^(17) + (4164532850376)/(1137393915074783461)*a^(16) - (14873839248674942)/(6980186456813946100157)*a^(15) - (10439192798424)/(59862837635514919)*a^(14) + (45849784077533370)/(367378234569155057903)*a^(13) + (2017368552066304085)/(367378234569155057903)*a^(12) - (88978009579979922)/(19335696556271318837)*a^(11) - (2165185061019835908)/(19335696556271318837)*a^(10) + (120249392875922179)/(1137393915074783461)*a^(9) + (1428874083358587450)/(1017668239803753623)*a^(8) - (1469563357934101347)/(1017668239803753623)*a^(7) - 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