/* 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 - 9*x^26 + 41*x^25 - 116*x^24 + 234*x^23 - 347*x^22 + 380*x^21 - 274*x^20 + 118*x^19 - 121*x^18 + 474*x^17 - 1071*x^16 + 1556*x^15 - 1531*x^14 + 964*x^13 - 256*x^12 + 122*x^11 - 700*x^10 + 1761*x^9 - 2620*x^8 + 2840*x^7 - 2483*x^6 + 1678*x^5 - 860*x^4 + 463*x^3 - 60*x^2 + 44*x - 1, 27, 8, [1, 13], -800194812883861824535483445924579987063, [983], [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, 1/5*a^17 + 2/5*a^16 - 2/5*a^15 - 2/5*a^14 + 2/5*a^12 + 2/5*a^11 - 1/5*a^9 - 2/5*a^7 + 2/5*a^5 + 2/5*a^4 - 2/5*a^2 - 1/5*a + 2/5, 1/5*a^18 - 1/5*a^16 + 2/5*a^15 - 1/5*a^14 + 2/5*a^13 - 2/5*a^12 + 1/5*a^11 - 1/5*a^10 + 2/5*a^9 - 2/5*a^8 - 1/5*a^7 + 2/5*a^6 - 2/5*a^5 + 1/5*a^4 - 2/5*a^3 - 2/5*a^2 - 1/5*a + 1/5, 1/5*a^19 - 1/5*a^16 + 2/5*a^15 - 2/5*a^13 - 2/5*a^12 + 1/5*a^11 + 2/5*a^10 + 2/5*a^9 - 1/5*a^8 - 2/5*a^6 - 2/5*a^5 - 2/5*a^3 + 2/5*a^2 + 2/5, 1/5*a^20 - 1/5*a^16 - 2/5*a^15 + 1/5*a^14 - 2/5*a^13 - 2/5*a^12 - 1/5*a^11 + 2/5*a^10 - 2/5*a^9 + 1/5*a^7 - 2/5*a^6 + 2/5*a^5 + 2/5*a^3 - 2/5*a^2 + 1/5*a + 2/5, 1/5*a^21 - 1/5*a^15 + 1/5*a^14 - 2/5*a^13 + 1/5*a^12 - 1/5*a^11 - 2/5*a^10 - 1/5*a^9 + 1/5*a^8 + 1/5*a^7 + 2/5*a^6 + 2/5*a^5 - 1/5*a^4 - 2/5*a^3 - 1/5*a^2 + 1/5*a + 2/5, 1/85*a^22 + 6/85*a^21 + 7/85*a^20 - 6/85*a^19 - 6/85*a^17 - 14/85*a^16 - 14/85*a^15 - 42/85*a^14 + 12/85*a^13 - 19/85*a^12 - 28/85*a^11 - 6/85*a^10 - 4/17*a^9 + 23/85*a^8 - 13/85*a^7 + 37/85*a^6 - 3/17*a^5 - 1/17*a^4 - 37/85*a^3 - 24/85*a^2 + 21/85*a + 32/85, 1/1105*a^23 - 2/1105*a^22 + 19/221*a^21 + 6/1105*a^20 - 54/1105*a^19 - 23/1105*a^18 + 6/65*a^17 - 79/221*a^16 - 236/1105*a^15 + 433/1105*a^14 + 72/1105*a^13 - 97/1105*a^12 - 394/1105*a^11 - 42/221*a^10 + 108/221*a^9 + 66/221*a^8 + 37/85*a^7 - 4/17*a^6 - 293/1105*a^5 + 326/1105*a^4 - 28/65*a^3 - 5/221*a^2 + 16/65*a - 103/1105, 1/5525*a^24 + 2/5525*a^23 + 22/5525*a^22 - 4/5525*a^21 - 43/5525*a^20 - 512/5525*a^19 - 432/5525*a^18 - 4/85*a^17 - 2674/5525*a^16 - 264/5525*a^15 - 991/5525*a^14 + 2284/5525*a^13 - 652/5525*a^12 + 93/325*a^11 - 424/1105*a^10 + 1359/5525*a^9 + 44/325*a^8 + 193/425*a^7 - 173/1105*a^6 - 1418/5525*a^5 + 108/221*a^4 + 16/65*a^3 - 1583/5525*a^2 + 1167/5525*a - 282/5525, 1/5525*a^25 - 2/5525*a^23 - 8/5525*a^22 + 11/221*a^21 - 42/425*a^20 - 538/5525*a^19 - 41/5525*a^18 + 226/5525*a^17 - 2486/5525*a^16 - 2373/5525*a^15 + 87/425*a^14 + 436/1105*a^13 + 81/1105*a^12 + 388/5525*a^11 + 2064/5525*a^10 + 319/1105*a^9 + 1043/5525*a^8 + 1072/5525*a^7 + 84/425*a^6 - 1864/5525*a^5 + 98/1105*a^4 + 1902/5525*a^3 + 2623/5525*a^2 + 1889/5525*a - 691/5525, 1/160497705249110837897575*a^26 - 1143171342020832313/14590700477191894354325*a^25 + 12042547297511383639/160497705249110837897575*a^24 - 261342174697961794/2918140095438378870865*a^23 - 739809879310502280739/160497705249110837897575*a^22 + 740811871484393469103/32099541049822167579515*a^21 + 3258012399365648422627/160497705249110837897575*a^20 + 9418735920655884211396/160497705249110837897575*a^19 + 10269350004228255221792/160497705249110837897575*a^18 - 12902260304265240580209/160497705249110837897575*a^17 - 52956548233273764927189/160497705249110837897575*a^16 + 30871640536410862160916/160497705249110837897575*a^15 - 46955886372723557565459/160497705249110837897575*a^14 + 2406294423568932068119/160497705249110837897575*a^13 + 1604046812257698793573/9441041485241813993975*a^12 + 36264304417158786945836/160497705249110837897575*a^11 - 76577735361570364878322/160497705249110837897575*a^10 + 45841298791240909448282/160497705249110837897575*a^9 + 23443617690375582435321/160497705249110837897575*a^8 - 9721655120203278319656/32099541049822167579515*a^7 - 13395596628200100868117/32099541049822167579515*a^6 - 4703429698717194610411/14590700477191894354325*a^5 + 68282674755647920441022/160497705249110837897575*a^4 - 29089499530605548866318/160497705249110837897575*a^3 - 26217258769654822472563/160497705249110837897575*a^2 + 75812345561325992011044/160497705249110837897575*a - 16548831501749163795569/160497705249110837897575], 0, 1, [], 1, [ (1870983275145255197704)/(160497705249110837897575)*a^(26) - (2084232795244502227098)/(14590700477191894354325)*a^(25) + (25745113149804019603218)/(32099541049822167579515)*a^(24) - (1595827098929615291209)/(583628019087675774173)*a^(23) + (201242115374597867499706)/(32099541049822167579515)*a^(22) - (1651004004263982895835151)/(160497705249110837897575)*a^(21) + (1924863295348657604001972)/(160497705249110837897575)*a^(20) - (1456696993571422039860576)/(160497705249110837897575)*a^(19) + (415764396043151475688001)/(160497705249110837897575)*a^(18) + (6487962608864153111428)/(160497705249110837897575)*a^(17) + (1492412334960151444412004)/(160497705249110837897575)*a^(16) - (4860519218172303842560739)/(160497705249110837897575)*a^(15) + (602441500563438161262343)/(12345977326854679838275)*a^(14) - (7931759283931385913692248)/(160497705249110837897575)*a^(13) + (4664451477023036355202031)/(160497705249110837897575)*a^(12) - (94808597650528238439159)/(32099541049822167579515)*a^(11) - (961057486955674710077027)/(160497705249110837897575)*a^(10) - (2537356277680200434049666)/(160497705249110837897575)*a^(9) + (638968598181517082759831)/(12345977326854679838275)*a^(8) - (12816655112914475498985186)/(160497705249110837897575)*a^(7) + (13555874954533652310228913)/(160497705249110837897575)*a^(6) - (1023292115904783613775152)/(14590700477191894354325)*a^(5) + (7945484873838830792459088)/(160497705249110837897575)*a^(4) - (3903094219401055195676524)/(160497705249110837897575)*a^(3) + (1206025416362757027148673)/(160497705249110837897575)*a^(2) - (134224627190748912977207)/(32099541049822167579515)*a - (163039075645859961649083)/(160497705249110837897575) , (3663352191656437632646)/(160497705249110837897575)*a^(26) - (2773896348512558324804)/(14590700477191894354325)*a^(25) + (9686711800674903285279)/(12345977326854679838275)*a^(24) - (2149692796348784385489)/(1122361575168607258025)*a^(23) + (101694350124660511222341)/(32099541049822167579515)*a^(22) - (562525341059075809600897)/(160497705249110837897575)*a^(21) + (373552846666223232114984)/(160497705249110837897575)*a^(20) - (6472244282275043201467)/(160497705249110837897575)*a^(19) - (71027412809674596795953)/(160497705249110837897575)*a^(18) - (6539576240992626642227)/(1888208297048362798795)*a^(17) + (346225225989267460006528)/(32099541049822167579515)*a^(16) - (2474063830518652052804128)/(160497705249110837897575)*a^(15) + (2109077002357684753695802)/(160497705249110837897575)*a^(14) - (851081900416138178156254)/(160497705249110837897575)*a^(13) - (38604128546504561049739)/(32099541049822167579515)*a^(12) + (129658850419216857708656)/(160497705249110837897575)*a^(11) + (1553818831737705649854384)/(160497705249110837897575)*a^(10) - (235845677577312305708077)/(12345977326854679838275)*a^(9) + (3681764639533595494742832)/(160497705249110837897575)*a^(8) - (663963183132748604480049)/(32099541049822167579515)*a^(7) + (2641404750980480354001903)/(160497705249110837897575)*a^(6) - (12616640291702119894123)/(858276498658346726725)*a^(5) + (1560218348110506447731427)/(160497705249110837897575)*a^(4) - (108761623991935864002907)/(32099541049822167579515)*a^(3) + (10297684736885103470117)/(1888208297048362798795)*a^(2) + (65847043715388066795171)/(160497705249110837897575)*a + (62119427366983786478411)/(160497705249110837897575) , (7915450701733131081666)/(160497705249110837897575)*a^(26) - (6435772621120978889609)/(14590700477191894354325)*a^(25) + (24627475157828480728002)/(12345977326854679838275)*a^(24) - (81611340625368735510614)/(14590700477191894354325)*a^(23) + (1794255773972068943485328)/(160497705249110837897575)*a^(22) - (2635146559327133418498138)/(160497705249110837897575)*a^(21) + (2851227856914741465014057)/(160497705249110837897575)*a^(20) - (401509806081425755337959)/(32099541049822167579515)*a^(19) + (809812555909003484210979)/(160497705249110837897575)*a^(18) - (174643715334191487742728)/(32099541049822167579515)*a^(17) + (3604994075971610877850044)/(160497705249110837897575)*a^(16) - (8165424927331602609279729)/(160497705249110837897575)*a^(15) + (907619728435784855191021)/(12345977326854679838275)*a^(14) - (11529271593189132227887358)/(160497705249110837897575)*a^(13) + (7048769023178821682278452)/(160497705249110837897575)*a^(12) - (60870910511436258188048)/(6419908209964433515903)*a^(11) + (28982301025688526779187)/(9441041485241813993975)*a^(10) - (1015325774618883287387381)/(32099541049822167579515)*a^(9) + (13343426372306709695863874)/(160497705249110837897575)*a^(8) - (20066317729276568791321044)/(160497705249110837897575)*a^(7) + (21479767073538082616509188)/(160497705249110837897575)*a^(6) - (1673895602819948743247533)/(14590700477191894354325)*a^(5) + (11726193844093707201220172)/(160497705249110837897575)*a^(4) - (64045385951215771244276)/(1888208297048362798795)*a^(3) + (219969846759921185365761)/(12345977326854679838275)*a^(2) + (83584234623944181590039)/(160497705249110837897575)*a + (7924884026643710804321)/(12345977326854679838275) , (4887198780227827989166)/(160497705249110837897575)*a^(26) - (309623564579839942028)/(1122361575168607258025)*a^(25) + (200766667974101602997528)/(160497705249110837897575)*a^(24) - (10110337884296158264627)/(2918140095438378870865)*a^(23) + (1064505036295039477734582)/(160497705249110837897575)*a^(22) - (109275776300065497421282)/(12345977326854679838275)*a^(21) + (1241611636209778080203641)/(160497705249110837897575)*a^(20) - (376128113857014098994894)/(160497705249110837897575)*a^(19) - (18835185362335617183918)/(6419908209964433515903)*a^(18) + (1238718675858148847077)/(2469195465370935967655)*a^(17) + (2286201736916182873275456)/(160497705249110837897575)*a^(16) - (5320468132022447963298287)/(160497705249110837897575)*a^(15) + (6614399347570983618262516)/(160497705249110837897575)*a^(14) - (178303977597642607429474)/(6419908209964433515903)*a^(13) + (200726734860270245104288)/(160497705249110837897575)*a^(12) + (2939399208341232666722097)/(160497705249110837897575)*a^(11) - (1369453379800358939833711)/(160497705249110837897575)*a^(10) - (3871831513885016573925692)/(160497705249110837897575)*a^(9) + (1891366800891758252442969)/(32099541049822167579515)*a^(8) - (857654468904643774953992)/(12345977326854679838275)*a^(7) + (8780678662626718688636503)/(160497705249110837897575)*a^(6) - (416853122897159580670209)/(14590700477191894354325)*a^(5) + (855269710084146587258627)/(160497705249110837897575)*a^(4) + (58772940754313583081175)/(6419908209964433515903)*a^(3) - (63858383145133638510199)/(9441041485241813993975)*a^(2) + (690153565764465539593183)/(160497705249110837897575)*a - (150948598476394537692296)/(160497705249110837897575) , (273041563195062487)/(44744272441904331725)*a^(26) - (158882661618116678)/(2766009569135904143)*a^(25) + (42063310709894148128)/(152130526302474727865)*a^(24) - (58379409004167419591)/(69150239228397603575)*a^(23) + (1427131405648226910001)/(760652631512373639325)*a^(22) - (2414607923680672363386)/(760652631512373639325)*a^(21) + (3203763327297618264524)/(760652631512373639325)*a^(20) - (130200606290008967105)/(30426105260494945573)*a^(19) + (2570107802952905091038)/(760652631512373639325)*a^(18) - (1928905155258665753944)/(760652631512373639325)*a^(17) + (2753568858107671698176)/(760652631512373639325)*a^(16) - (5721397252668045332528)/(760652631512373639325)*a^(15) + (10072197551187930657377)/(760652631512373639325)*a^(14) - (13500298166481082201563)/(760652631512373639325)*a^(13) + (801221086744271070408)/(44744272441904331725)*a^(12) - (9908052462339717671721)/(760652631512373639325)*a^(11) + (985670664958691725159)/(152130526302474727865)*a^(10) - (3042253013425073250831)/(760652631512373639325)*a^(9) + (7153021011660799446167)/(760652631512373639325)*a^(8) - (3211494836661846368362)/(152130526302474727865)*a^(7) + (24653428262297165688289)/(760652631512373639325)*a^(6) - (151726192597261513102)/(4067661131082211975)*a^(5) + (24372147088221925848243)/(760652631512373639325)*a^(4) - (1191467896207326349016)/(58511740885567203025)*a^(3) + (7354808064003876875452)/(760652631512373639325)*a^(2) - (234791633443378166201)/(58511740885567203025)*a - (326543481401809959246)/(760652631512373639325) , (9743129380807351760974)/(160497705249110837897575)*a^(26) - (7532503359937150618026)/(14590700477191894354325)*a^(25) + (350410534749291089919509)/(160497705249110837897575)*a^(24) - (80200303011712411857071)/(14590700477191894354325)*a^(23) + (1497266710971943597383837)/(160497705249110837897575)*a^(22) - (1651757117350342195682682)/(160497705249110837897575)*a^(21) + (923922219990815338017333)/(160497705249110837897575)*a^(20) + (110679776503135475696614)/(32099541049822167579515)*a^(19) - (1253726743109385097594044)/(160497705249110837897575)*a^(18) - (19475864688630991842727)/(6419908209964433515903)*a^(17) + (4667303313349507885890181)/(160497705249110837897575)*a^(16) - (8044857296857425103214651)/(160497705249110837897575)*a^(15) + (553352740505654552211919)/(12345977326854679838275)*a^(14) - (1668458549372862436924712)/(160497705249110837897575)*a^(13) - (4316374472940770050530867)/(160497705249110837897575)*a^(12) + (1111700458764902251052839)/(32099541049822167579515)*a^(11) + (976068733310260197500831)/(160497705249110837897575)*a^(10) - (1907698098142454555278351)/(32099541049822167579515)*a^(9) + (14221928047813952897935731)/(160497705249110837897575)*a^(8) - (11557171025191386578270511)/(160497705249110837897575)*a^(7) + (4830854070728676463447852)/(160497705249110837897575)*a^(6) - (3512507263675320528942)/(14590700477191894354325)*a^(5) - (2579176982962098782682537)/(160497705249110837897575)*a^(4) + (567448158491316968318302)/(32099541049822167579515)*a^(3) + (150880066999923624610157)/(160497705249110837897575)*a^(2) + (529728426571025754204986)/(160497705249110837897575)*a + (216141788627172504422642)/(160497705249110837897575) , (1101312818369377393856)/(14590700477191894354325)*a^(26) - 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