/* 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^36 + 9*x^34 + 54*x^32 + 273*x^30 + 1260*x^28 - x^27 + 4374*x^26 - 18*x^25 + 13050*x^24 - 189*x^23 + 34695*x^22 - 153*x^21 + 79785*x^20 + 1935*x^19 + 133435*x^18 + 11664*x^17 + 197460*x^16 + 36792*x^15 + 255879*x^14 + 40932*x^13 + 256629*x^12 + 26649*x^11 + 121878*x^10 + 26*x^9 + 55485*x^8 - 19917*x^7 + 22041*x^6 - 4752*x^5 + 6021*x^4 - 699*x^3 + 81*x^2 - 9*x + 1, 36, 1, [0, 18], 7225377334561374804949923918873673793376691639423370361328125, [3, 5], [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, a^23, a^24, a^25, a^26, a^27, a^28, a^29, 1/271*a^30 - 132/271*a^29 + 118/271*a^28 + 72/271*a^27 - 40/271*a^26 - 128/271*a^25 - 7/271*a^24 + 96/271*a^23 + 50/271*a^22 + 43/271*a^21 + 73/271*a^20 + 18/271*a^19 - 56/271*a^18 + 20/271*a^17 + 13/271*a^16 - 45/271*a^15 - 39/271*a^14 - 78/271*a^13 - 21/271*a^12 - 128/271*a^11 + 52/271*a^10 + 76/271*a^9 + 16/271*a^8 - 48/271*a^7 + 116/271*a^6 + 36/271*a^5 + 19/271*a^4 - 65/271*a^3 - 46/271*a^2 - 45/271*a + 10/271, 1/271*a^31 + 38/271*a^29 - 70/271*a^28 - 21/271*a^27 + 12/271*a^26 - 101/271*a^25 - 15/271*a^24 - 15/271*a^23 - 132/271*a^22 + 58/271*a^21 - 102/271*a^20 - 119/271*a^19 - 55/271*a^18 - 57/271*a^17 + 45/271*a^16 - 17/271*a^15 - 77/271*a^14 - 19/271*a^13 + 81/271*a^12 - 42/271*a^11 - 106/271*a^10 + 21/271*a^9 - 104/271*a^8 + 13/271*a^7 - 99/271*a^6 - 107/271*a^5 + 4/271*a^4 + 46/271*a^3 + 116/271*a^2 + 32/271*a - 35/271, 1/271*a^32 + 68/271*a^29 + 102/271*a^28 - 14/271*a^27 + 64/271*a^26 - 29/271*a^25 - 20/271*a^24 + 14/271*a^23 + 55/271*a^22 - 110/271*a^21 + 88/271*a^20 + 74/271*a^19 - 97/271*a^18 + 98/271*a^17 + 31/271*a^16 + 7/271*a^15 + 108/271*a^14 + 64/271*a^13 - 57/271*a^12 - 120/271*a^11 - 58/271*a^10 - 11/271*a^9 - 53/271*a^8 + 99/271*a^7 + 92/271*a^6 - 9/271*a^5 - 134/271*a^4 - 124/271*a^3 - 117/271*a^2 + 49/271*a - 109/271, 1/318883648678381348159186580491*a^33 - 95219291383905279185744329/318883648678381348159186580491*a^32 + 493776682547585729833299192/318883648678381348159186580491*a^31 + 319718808092385137362199860/318883648678381348159186580491*a^30 - 128522254508942917885330874072/318883648678381348159186580491*a^29 + 24736519936449702571912175282/318883648678381348159186580491*a^28 - 68308705307503698328009006598/318883648678381348159186580491*a^27 - 137909923381810725710417722791/318883648678381348159186580491*a^26 - 4523783377269194185963303390/318883648678381348159186580491*a^25 - 91227237534201648749781953917/318883648678381348159186580491*a^24 - 42077842859838734118075872875/318883648678381348159186580491*a^23 + 4693090116142366869005418126/318883648678381348159186580491*a^22 - 157213114725633897901484226327/318883648678381348159186580491*a^21 + 114316059471640706143768887741/318883648678381348159186580491*a^20 + 128444353976047190874604360242/318883648678381348159186580491*a^19 + 2982590212873405254483767885/318883648678381348159186580491*a^18 + 71156223358266077005862341046/318883648678381348159186580491*a^17 + 47672736559876526387827383803/318883648678381348159186580491*a^16 + 57875655923449250061842116943/318883648678381348159186580491*a^15 - 138185899607103247083336812985/318883648678381348159186580491*a^14 + 101121602811926583919050621646/318883648678381348159186580491*a^13 + 65940287753460716978473324165/318883648678381348159186580491*a^12 - 19732099473577754896550691993/318883648678381348159186580491*a^11 + 105399351850892134517943515714/318883648678381348159186580491*a^10 + 51243100930378626618459188718/318883648678381348159186580491*a^9 + 94583834461568715848344406864/318883648678381348159186580491*a^8 - 116499542025746305117267606521/318883648678381348159186580491*a^7 + 121089124654152517524947573383/318883648678381348159186580491*a^6 - 54049184118354492730647844914/318883648678381348159186580491*a^5 + 53844162906849480054867758861/318883648678381348159186580491*a^4 - 125712120177027462773257173244/318883648678381348159186580491*a^3 - 101905550026748417025233369229/318883648678381348159186580491*a^2 - 77299181097134821023007001883/318883648678381348159186580491*a - 142037195598842167128102359058/318883648678381348159186580491, 1/318883648678381348159186580491*a^34 - 516236388781524581091894442/318883648678381348159186580491*a^32 - 544078367788428716623672595/318883648678381348159186580491*a^31 + 60642223156409370308545279/318883648678381348159186580491*a^30 - 105631203429691394955433453438/318883648678381348159186580491*a^29 - 151429470201693255632521676286/318883648678381348159186580491*a^28 + 91897535536286131731733227845/318883648678381348159186580491*a^27 + 144261133800951200806430240750/318883648678381348159186580491*a^26 + 136250747043634635731997349043/318883648678381348159186580491*a^25 - 84271841095319609542202108439/318883648678381348159186580491*a^24 + 71758417690506291728238235165/318883648678381348159186580491*a^23 + 130322969198587604986332506193/318883648678381348159186580491*a^22 - 62963769247786471545777250606/318883648678381348159186580491*a^21 + 24014995863918776691854084746/318883648678381348159186580491*a^20 - 51445773015472060015032444271/318883648678381348159186580491*a^19 - 123179437128314624655481863990/318883648678381348159186580491*a^18 + 118131682352882902144642938826/318883648678381348159186580491*a^17 + 92034947263987297824913556292/318883648678381348159186580491*a^16 + 148840570859302158576640271150/318883648678381348159186580491*a^15 + 103185717867744612317675201360/318883648678381348159186580491*a^14 + 69440409141463883646280280791/318883648678381348159186580491*a^13 + 58354469809364763675133548313/318883648678381348159186580491*a^12 - 125912921164347621720012002288/318883648678381348159186580491*a^11 + 92930653455787467315594177466/318883648678381348159186580491*a^10 + 137559048480590755453813413205/318883648678381348159186580491*a^9 - 102119248700771081720427096896/318883648678381348159186580491*a^8 + 39114761826296693000953129482/318883648678381348159186580491*a^7 - 77800971007139760486789674144/318883648678381348159186580491*a^6 + 84488958029597271950146444002/318883648678381348159186580491*a^5 - 151628095497863135641227584962/318883648678381348159186580491*a^4 - 49116496991808757347787566798/318883648678381348159186580491*a^3 + 37841232805976693647353966380/318883648678381348159186580491*a^2 + 69796298098214087363536974034/318883648678381348159186580491*a - 79720114379888609569652606524/318883648678381348159186580491, 1/318883648678381348159186580491*a^35 + 379626760802403774207976771/318883648678381348159186580491*a^32 + 365124513806611730008776986/318883648678381348159186580491*a^31 + 347614463071307414864992999/318883648678381348159186580491*a^30 - 101439505694470900282938002165/318883648678381348159186580491*a^29 - 33628006721856698094328600132/318883648678381348159186580491*a^28 - 93435839653333913965096478159/318883648678381348159186580491*a^27 + 159093992928802860512135308714/318883648678381348159186580491*a^26 - 132843405459621549264537321335/318883648678381348159186580491*a^25 - 104236421936236328386443263122/318883648678381348159186580491*a^24 - 28324729748471780921983925825/318883648678381348159186580491*a^23 + 35045781965479859881439245314/318883648678381348159186580491*a^22 - 65425653609991062106821327399/318883648678381348159186580491*a^21 + 16744307885957112704238385730/318883648678381348159186580491*a^20 + 50453916831124304912252623074/318883648678381348159186580491*a^19 - 922898403622726668255939824/318883648678381348159186580491*a^18 - 125889934450142522588860452769/318883648678381348159186580491*a^17 + 37230873322333954903296239221/318883648678381348159186580491*a^16 + 129945681207494755967572120393/318883648678381348159186580491*a^15 + 92794148912197250774860301526/318883648678381348159186580491*a^14 - 110488943157587675659309975187/318883648678381348159186580491*a^13 + 120046820594047395787906337030/318883648678381348159186580491*a^12 - 100414356153474158071443896481/318883648678381348159186580491*a^11 - 88489928115184085630072772417/318883648678381348159186580491*a^10 - 107233056855764878804431378580/318883648678381348159186580491*a^9 - 143997554826883708174799599907/318883648678381348159186580491*a^8 + 59543019106100151605236876177/318883648678381348159186580491*a^7 - 37121646469137986332149812219/318883648678381348159186580491*a^6 + 90790117116266444216787667166/318883648678381348159186580491*a^5 + 135130051805075002152142950600/318883648678381348159186580491*a^4 - 59262250215330553955353674075/318883648678381348159186580491*a^3 + 117617585107506866499831619121/318883648678381348159186580491*a^2 - 114594201208248071632476259506/318883648678381348159186580491*a + 6481279775257297063998136815/318883648678381348159186580491], 1, 2053, [2053], 1, [ (1498555494626522101087611150)/(318883648678381348159186580491)*a^(35) + (4353676618889939009172208713)/(318883648678381348159186580491)*a^(34) + (13531489415551535230238074650)/(318883648678381348159186580491)*a^(33) + (39104781312744928374718265838)/(318883648678381348159186580491)*a^(32) + (81308324315524809466742873310)/(318883648678381348159186580491)*a^(31) + (234426381277239357782469069543)/(318883648678381348159186580491)*a^(30) + (411386159173276478551919174820)/(318883648678381348159186580491)*a^(29) + (1184605414305667568019452121696)/(318883648678381348159186580491)*a^(28) + (1899605562464452592525386842315)/(318883648678381348159186580491)*a^(27) + (20163849802244746614981176130)/(1176692430547532650033898821)*a^(26) + (6602776464078692569970334390348)/(318883648678381348159186580491)*a^(25) + (43910736458653652421432414906)/(739869254474202663942428261)*a^(24) + (19655890599644593825999988239083)/(318883648678381348159186580491)*a^(23) + (56226683035264179687749522800740)/(318883648678381348159186580491)*a^(22) + (51695285018943760349206663826877)/(318883648678381348159186580491)*a^(21) + (149918699447198469254482955333145)/(318883648678381348159186580491)*a^(20) + (120288095225900319651878852936199)/(318883648678381348159186580491)*a^(19) + (347910173442594827742320458462205)/(318883648678381348159186580491)*a^(18) + (211503766293986031929728790857035)/(318883648678381348159186580491)*a^(17) + (593229656936674178693651143224540)/(318883648678381348159186580491)*a^(16) + (351482245671344843130351560110728)/(318883648678381348159186580491)*a^(15) + (907054445499179526013275833722029)/(318883648678381348159186580491)*a^(14) + (549993585616950147370040756276874)/(318883648678381348159186580491)*a^(13) + (1164817654540854615795339634345368)/(318883648678381348159186580491)*a^(12) + (569328802865260423944105092418459)/(318883648678381348159186580491)*a^(11) + (1143540604360104027660934410912948)/(318883648678381348159186580491)*a^(10) + (305029041865542030880234512331444)/(318883648678381348159186580491)*a^(9) + (517578001862512613537852528478651)/(318883648678381348159186580491)*a^(8) + (84758892048695190641574792484827)/(318883648678381348159186580491)*a^(7) + (207721700264366351085475119974445)/(318883648678381348159186580491)*a^(6) - (51644062182075522951788104487454)/(318883648678381348159186580491)*a^(5) + (85204524567867919124545536593625)/(318883648678381348159186580491)*a^(4) - (9896643615552841411931625704229)/(318883648678381348159186580491)*a^(3) + (24734299482983826012925526838777)/(318883648678381348159186580491)*a^(2) - (2871716312915618535729006177438)/(318883648678381348159186580491)*a + (333365770221793186145216802462)/(318883648678381348159186580491) , (4823828438459076727492818060)/(318883648678381348159186580491)*a^(35) + (1374057999137033619119928)/(318883648678381348159186580491)*a^(34) + (41967307414593967529187517122)/(318883648678381348159186580491)*a^(33) - (152549933287147022535041034)/(318883648678381348159186580491)*a^(32) + (247462443345713487746725731009)/(318883648678381348159186580491)*a^(31) - (1405468772230566331801207602)/(318883648678381348159186580491)*a^(30) + (1238759142996290903620155677808)/(318883648678381348159186580491)*a^(29) - (8490523069347153402810282588)/(318883648678381348159186580491)*a^(28) + (5682952130675527277433331276494)/(318883648678381348159186580491)*a^(27) - (47879981465368401870798398571)/(318883648678381348159186580491)*a^(26) + (19276015691966472328994062727904)/(318883648678381348159186580491)*a^(25) - (285990173677258181883597342582)/(318883648678381348159186580491)*a^(24) + (56621265384008250903483448066782)/(318883648678381348159186580491)*a^(23) - (1583672094041746609434426946524)/(318883648678381348159186580491)*a^(22) + (148480051515965285689475345520801)/(318883648678381348159186580491)*a^(21) - (2550719025190957662283436073558)/(318883648678381348159186580491)*a^(20) + (334691019202388243230516807677888)/(318883648678381348159186580491)*a^(19) + (3997136101233979529808108941184)/(318883648678381348159186580491)*a^(18) + (528233184401252695008980423959764)/(318883648678381348159186580491)*a^(17) + (40631643167755405030614261083529)/(318883648678381348159186580491)*a^(16) + (759107379367213081415342276277564)/(318883648678381348159186580491)*a^(15) + (139182236356044251238131285853066)/(318883648678381348159186580491)*a^(14) + (946693192685938492968165785907276)/(318883648678381348159186580491)*a^(13) + (112494198436540106724297030408912)/(318883648678381348159186580491)*a^(12) + (861676284530094741741545103667842)/(318883648678381348159186580491)*a^(11) + (28190247956869167705500928817182)/(318883648678381348159186580491)*a^(10) + (209956654370588355052327056459486)/(318883648678381348159186580491)*a^(9) - 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