/* 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 - 354*x^30 + 122947*x^24 - 838624*x^18 + 5611807*x^12 - 2369*x^6 + 1, 36, 4, [0, 18], 2169042462588586105943635605392908833154745008913475914510106624, [2, 3, 13], [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, 1/62015*a^24 + 4335/12403*a^18 + 14541/62015*a^12 + 3174/12403*a^6 + 18311/62015, 1/62015*a^25 + 4335/12403*a^19 + 14541/62015*a^13 + 3174/12403*a^7 + 18311/62015*a, 1/62015*a^26 + 4335/12403*a^20 + 14541/62015*a^14 + 3174/12403*a^8 + 18311/62015*a^2, 1/62015*a^27 + 4335/12403*a^21 + 14541/62015*a^15 + 3174/12403*a^9 + 18311/62015*a^3, 1/62015*a^28 + 4335/12403*a^22 + 14541/62015*a^16 + 3174/12403*a^10 + 18311/62015*a^4, 1/62015*a^29 + 4335/12403*a^23 + 14541/62015*a^17 + 3174/12403*a^11 + 18311/62015*a^5, 1/42787497099335045*a^30 + 65876963448/8557499419867009*a^24 + 12738486085268876/42787497099335045*a^18 - 734243975729351/8557499419867009*a^12 + 7282103864965656/42787497099335045*a^6 + 3195150047441441/8557499419867009, 1/42787497099335045*a^31 + 65876963448/8557499419867009*a^25 + 12738486085268876/42787497099335045*a^19 - 734243975729351/8557499419867009*a^13 + 7282103864965656/42787497099335045*a^7 + 3195150047441441/8557499419867009*a, 1/42787497099335045*a^32 + 65876963448/8557499419867009*a^26 + 12738486085268876/42787497099335045*a^20 - 734243975729351/8557499419867009*a^14 + 7282103864965656/42787497099335045*a^8 + 3195150047441441/8557499419867009*a^2, 1/42787497099335045*a^33 + 65876963448/8557499419867009*a^27 + 12738486085268876/42787497099335045*a^21 - 734243975729351/8557499419867009*a^15 + 7282103864965656/42787497099335045*a^9 + 3195150047441441/8557499419867009*a^3, 1/42787497099335045*a^34 + 65876963448/8557499419867009*a^28 + 12738486085268876/42787497099335045*a^22 - 734243975729351/8557499419867009*a^16 + 7282103864965656/42787497099335045*a^10 + 3195150047441441/8557499419867009*a^4, 1/42787497099335045*a^35 + 65876963448/8557499419867009*a^29 + 12738486085268876/42787497099335045*a^23 - 734243975729351/8557499419867009*a^17 + 7282103864965656/42787497099335045*a^11 + 3195150047441441/8557499419867009*a^5], 1, 2268, [18, 126], 1, [ (641949686563582)/(8557499419867009)*a^(34) - (2917811370)/(8557499419867009)*a^(32) - (227250188628364794)/(8557499419867009)*a^(28) + (1013378967535)/(8557499419867009)*a^(26) + (78925787969750187367)/(8557499419867009)*a^(22) - (351823946338286)/(8557499419867009)*a^(20) - (538354363886505919965)/(8557499419867009)*a^(16) + (46254786075835)/(8557499419867009)*a^(14) + (3602497738124231495827)/(8557499419867009)*a^(10) - (19526257445)/(8557499419867009)*a^(8) - (1520778804690949709)/(8557499419867009)*a^(4) - (114075601222143740)/(8557499419867009)*a^(2) - 1 , (641949686563582)/(8557499419867009)*a^(34) - (2917811370)/(8557499419867009)*a^(32) - (227250188628364794)/(8557499419867009)*a^(28) + (1013378967535)/(8557499419867009)*a^(26) + (78925787969750187367)/(8557499419867009)*a^(22) - (351823946338286)/(8557499419867009)*a^(20) - (538354363886505919965)/(8557499419867009)*a^(16) + (46254786075835)/(8557499419867009)*a^(14) + (3602497738124231495827)/(8557499419867009)*a^(10) - (19526257445)/(8557499419867009)*a^(8) - (1520778804690949709)/(8557499419867009)*a^(4) - (114075601222143740)/(8557499419867009)*a^(2) , (641949686563582)/(8557499419867009)*a^(34) - (3332954604)/(42787497099335045)*a^(31) - (227250188628364794)/(8557499419867009)*a^(28) + (1157561496322)/(42787497099335045)*a^(25) + (78925787969750187367)/(8557499419867009)*a^(22) - (401882137809489)/(42787497099335045)*a^(19) - (538354363886505919965)/(8557499419867009)*a^(16) + (52835869992682)/(42787497099335045)*a^(13) + (3602497738124231495827)/(8557499419867009)*a^(10) - (22304433494)/(42787497099335045)*a^(7) - (1520778804690949709)/(8557499419867009)*a^(4) - (156221148634915203)/(42787497099335045)*a , (739071989274)/(42787497099335045)*a^(35) - (256685547642007)/(42787497099335045)*a^(29) + (89115824624648359)/(42787497099335045)*a^(23) - (11716184640993667)/(42787497099335045)*a^(17) + (4945936560989)/(42787497099335045)*a^(11) + (27760776055536113968)/(42787497099335045)*a^(5) - 1 , (65951429848686)/(42787497099335045)*a^(31) - (23346778217155936)/(42787497099335045)*a^(25) + (8108520590475048366)/(42787497099335045)*a^(19) - (55305029140356653046)/(42787497099335045)*a^(13) + (370087902323929324631)/(42787497099335045)*a^(7) - (9855131349276)/(42787497099335045)*a + 1 , (24875746319369)/(42787497099335045)*a^(30) - (8806034810675928)/(42787497099335045)*a^(24) + (3058405542000489604)/(42787497099335045)*a^(18) - (20863883314655514098)/(42787497099335045)*a^(12) + (139598214103940247124)/(42787497099335045)*a^(6) - (58930780978788908)/(42787497099335045) , (7923147642)/(42787497099335045)*a^(32) - (2751771845031)/(42787497099335045)*a^(26) + (955355456072452)/(42787497099335045)*a^(20) - (125602190393811)/(42787497099335045)*a^(14) + (53022420237)/(42787497099335045)*a^(8) + (215148211741553249)/(42787497099335045)*a^(2) , (11719091329607067)/(42787497099335045)*a^(35) + (1210726244878024)/(42787497099335045)*a^(33) + (65948096894082)/(42787497099335045)*a^(31) - (4148558329423663284)/(42787497099335045)*a^(29) - (428597098609968138)/(42787497099335045)*a^(27) - (23345620655659614)/(42787497099335045)*a^(25) + (1440827121264551214062)/(42787497099335045)*a^(23) + (148855162380790261759)/(42787497099335045)*a^(21) + (8108118708337238877)/(42787497099335045)*a^(19) - (9827911095609216502334)/(42787497099335045)*a^(17) - (1015345041740044071428)/(42787497099335045)*a^(15) - (55304976304486660364)/(42787497099335045)*a^(13) + (65765278737197795431622)/(42787497099335045)*a^(11) + (6794362141692399623179)/(42787497099335045)*a^(9) + (370087902301624891137)/(42787497099335045)*a^(7) - (27762527351425588474)/(42787497099335045)*a^(5) - (2868210527138459093)/(42787497099335045)*a^(3) - (156231003766264479)/(42787497099335045)*a , (4420474677695934)/(42787497099335045)*a^(34) - (90831766361093)/(42787497099335045)*a^(32) + (4590193038)/(42787497099335045)*a^(30) - (1564848041751792108)/(42787497099335045)*a^(28) + (32154407238180573)/(42787497099335045)*a^(26) - (1594210348709)/(42787497099335045)*a^(24) + (543484102229541198594)/(42787497099335045)*a^(22) - (11167479605793800933)/(42787497099335045)*a^(20) + (553473318262963)/(42787497099335045)*a^(18) - (3707116861172573671253)/(42787497099335045)*a^(16) + (76168985221332568273)/(42787497099335045)*a^(14) - (72766320401129)/(42787497099335045)*a^(12) + (24806850832313557102314)/(42787497099335045)*a^(10) - (509686116458587558498)/(42787497099335045)*a^(8) + (30717986743)/(42787497099335045)*a^(6) - (10472104550593207638)/(42787497099335045)*a^(4) + (13573003500138)/(42787497099335045)*a^(2) + (58927063106638046)/(42787497099335045) , (941243069004)/(42787497099335045)*a^(35) - (48162358700592)/(8557499419867009)*a^(32) - (326901162725522)/(42787497099335045)*a^(29) + (17049435109016942)/(8557499419867009)*a^(26) + (113493209910972364)/(42787497099335045)*a^(23) - (5921403406481554868)/(8557499419867009)*a^(20) - (14921114246717882)/(42787497099335045)*a^(17) + (40385209819435804777)/(8557499419867009)*a^(14) + (6298883701894)/(42787497099335045)*a^(11) - (270245100368034737666)/(8557499419867009)*a^(8) + (35364190415624978273)/(42787497099335045)*a^(5) - (114068404750183088)/(8557499419867009)*a^(2) , (11718352257617793)/(42787497099335045)*a^(35) - (37101261342)/(42787497099335045)*a^(32) - (4148301643876021277)/(42787497099335045)*a^(29) + (12885561520381)/(42787497099335045)*a^(26) + (1440738005439926565703)/(42787497099335045)*a^(23) - (4473594919455312)/(42787497099335045)*a^(20) - (9827899379424575508667)/(42787497099335045)*a^(17) + (588150051152161)/(42787497099335045)*a^(14) + (65765278732251858870633)/(42787497099335045)*a^(11) - (248284994687)/(42787497099335045)*a^(8) - (55523303406961702442)/(42787497099335045)*a^(5) - (1355904223962990649)/(42787497099335045)*a^(2) , (2343574075996209)/(8557499419867009)*a^(35) + (55961475383958)/(541613887333355)*a^(34) - (1210726244878024)/(42787497099335045)*a^(33) - (22512204492)/(42787497099335045)*a^(32) + (31355972651035)/(8557499419867009)*a^(31) - (29822940118792)/(42787497099335045)*a^(30) - (4148134283961317163)/(42787497099335045)*a^(29) - (1565015401666496222)/(42787497099335045)*a^(28) + (428597098609968138)/(42787497099335045)*a^(27) + (7818666682706)/(42787497099335045)*a^(26) - (55500027893840187)/(42787497099335045)*a^(25) + (10557330700150434)/(42787497099335045)*a^(24) + (288135980319475439516)/(8557499419867009)*a^(23) + (543542206072090566717)/(42787497099335045)*a^(22) - (148855162380790261759)/(42787497099335045)*a^(21) - (2714475187763882)/(42787497099335045)*a^(20) + (3855119662826207962)/(8557499419867009)*a^(19) - (3666644456472868387)/(42787497099335045)*a^(18) - (9827891740429391763233)/(42787497099335045)*a^(17) - (3707124500167757416687)/(42787497099335045)*a^(16) + (1015345041740044071428)/(42787497099335045)*a^(15) + (356876120772986)/(42787497099335045)*a^(14) - (131473961525819228637)/(42787497099335045)*a^(13) + (25011427662081119674)/(42787497099335045)*a^(12) + (13153055745805418033191)/(8557499419867009)*a^(11) + (24806850835538325806992)/(42787497099335045)*a^(10) - (6794362141692399623179)/(42787497099335045)*a^(9) - (150653707462)/(42787497099335045)*a^(8) + (1120731234089442611)/(54506365731637)*a^(7) - (167360741029432504447)/(42787497099335045)*a^(6) - (73598161723700327553)/(42787497099335045)*a^(5) + (7602753766145417473)/(42787497099335045)*a^(4) + (2868210527138459093)/(42787497099335045)*a^(3) - (785526217852271949)/(42787497099335045)*a^(2) - (156244576769764617)/(42787497099335045)*a + (113438108479720294)/(42787497099335045) , (641949686563582)/(8557499419867009)*a^(35) - (132558750084)/(42787497099335045)*a^(34) - (48159440889222)/(8557499419867009)*a^(33) + (48156523077852)/(8557499419867009)*a^(32) - (291261443)/(689953996603)*a^(30) - (227250188628364794)/(8557499419867009)*a^(29) + (46038702391462)/(42787497099335045)*a^(28) + (17048421730049407)/(8557499419867009)*a^(27) - (17047408351081872)/(8557499419867009)*a^(26) + (103106425506)/(689953996603)*a^(24) + (78925787969750187367)/(8557499419867009)*a^(23) - (15983668765676344)/(42787497099335045)*a^(22) - (5921051582535216582)/(8557499419867009)*a^(21) + (5920699758588878296)/(8557499419867009)*a^(20) - (35809677109283)/(689953996603)*a^(18) - (538354363886505919965)/(8557499419867009)*a^(17) + (2101395823821022)/(42787497099335045)*a^(16) + (40385163564649728942)/(8557499419867009)*a^(15) - (40385117309863653107)/(8557499419867009)*a^(14) + (244243720409623)/(689953996603)*a^(12) + (3602497738124231495827)/(8557499419867009)*a^(11) - (887095138274)/(42787497099335045)*a^(10) - (270245100348508480221)/(8557499419867009)*a^(9) + (270245100328982222776)/(8557499419867009)*a^(8) - (1634501018077823)/(689953996603)*a^(6) - (1520778804690949709)/(8557499419867009)*a^(5) - (4950532975269521053)/(42787497099335045)*a^(4) + (7196471960652)/(8557499419867009)*a^(3) - (114082797694104392)/(8557499419867009)*a^(2) + (689997519841)/(689953996603) , a^(35) - (11719830401596341)/(42787497099335045)*a^(34) + (132558750084)/(42787497099335045)*a^(33) + (48156523077852)/(8557499419867009)*a^(32) - (65948096894082)/(42787497099335045)*a^(31) + (42942914900052)/(42787497099335045)*a^(30) - 354*a^(29) + (4148815014971305291)/(42787497099335045)*a^(28) - (46038702391462)/(42787497099335045)*a^(27) - (17047408351081872)/(8557499419867009)*a^(26) + (23345620655659614)/(42787497099335045)*a^(25) - (15201773998779227)/(42787497099335045)*a^(24) + 122947*a^(23) - (1440916237089175862421)/(42787497099335045)*a^(22) + (15983668765676344)/(42787497099335045)*a^(21) + (5920699758588878296)/(8557499419867009)*a^(20) - (8108118708337238877)/(42787497099335045)*a^(19) + (5279696141250937812)/(42787497099335045)*a^(18) - 838624*a^(17) + (9827922811793857496001)/(42787497099335045)*a^(16) - (2101395823821022)/(42787497099335045)*a^(15) - (40385117309863653107)/(8557499419867009)*a^(14) + (55304976304486660364)/(42787497099335045)*a^(13) - (36010730402178685572)/(42787497099335045)*a^(12) + 5611807*a^(11) - (65765278742143731992611)/(42787497099335045)*a^(10) + (887095138274)/(42787497099335045)*a^(9) + (270245100328982222776)/(8557499419867009)*a^(8) - (370087902301624891137)/(42787497099335045)*a^(7) + (240961794770754427212)/(42787497099335045)*a^(6) - 2369*a^(5) + (1751295889474506)/(42787497099335045)*a^(4) + (4950532975269521053)/(42787497099335045)*a^(3) - (114082797694104392)/(8557499419867009)*a^(2) + (156231003766264479)/(42787497099335045)*a - (6416965755432)/(42787497099335045) , (11719830401596341)/(42787497099335045)*a^(35) + (40434215946)/(8557499419867009)*a^(34) + (1451600984801422)/(42787497099335045)*a^(33) + (174834518495178)/(42787497099335045)*a^(32) + (3332954604)/(42787497099335045)*a^(31) + (29826273073396)/(42787497099335045)*a^(30) - (4148815014971305291)/(42787497099335045)*a^(29) - (14043123016703)/(8557499419867009)*a^(28) - (513866135944752257)/(42787497099335045)*a^(27) - (61891421099749746)/(42787497099335045)*a^(26) - (1157561496322)/(42787497099335045)*a^(25) - (10558488261646756)/(42787497099335045)*a^(24) + (1440916237089175862421)/(42787497099335045)*a^(23) + (4875477057264801)/(8557499419867009)*a^(22) + (178469769365443064782)/(42787497099335045)*a^(21) + (21495380084607152603)/(42787497099335045)*a^(20) + (401882137809489)/(42787497099335045)*a^(19) + (3667046338610677876)/(42787497099335045)*a^(18) - (9827922811793857496001)/(42787497099335045)*a^(17) - (640985921144843)/(8557499419867009)*a^(16) - (1217272088699265013142)/(42787497099335045)*a^(15) - (146620610244831605171)/(42787497099335045)*a^(14) - (52835869992682)/(42787497099335045)*a^(13) - (25011480497951112356)/(42787497099335045)*a^(12) + (65765278742143731992611)/(42787497099335045)*a^(11) + (270589428181)/(8557499419867009)*a^(10) + (8145587643953816447152)/(42787497099335045)*a^(9) + (981137599343286222743)/(42787497099335045)*a^(8) + (22304433494)/(42787497099335045)*a^(7) + (167360741051736937941)/(42787497099335045)*a^(6) - (1751295889474506)/(42787497099335045)*a^(5) + (1520682872017772861)/(8557499419867009)*a^(4) - (216912937365852)/(42787497099335045)*a^(3) - (414182984704257481)/(42787497099335045)*a^(2) + (113433651535580158)/(42787497099335045)*a - (4456944140136)/(42787497099335045) , (11721051351222363)/(42787497099335045)*a^(35) + (593830679890306)/(8557499419867009)*a^(33) + (174837851449782)/(42787497099335045)*a^(31) - (4149239060433651412)/(42787497099335045)*a^(29) - (210215810021332090)/(8557499419867009)*a^(27) - (61892578661246068)/(42787497099335045)*a^(25) + (1441063456756349878903)/(42787497099335045)*a^(23) + (73009611864272235586)/(8557499419867009)*a^(21) + (21495781966744962092)/(42787497099335045)*a^(19) - (9827942166973682235102)/(42787497099335045)*a^(17) - (497969841307777335866)/(8557499419867009)*a^(15) - (146620663080701597853)/(42787497099335045)*a^(13) + (65765278750314437258278)/(42787497099335045)*a^(11) + (3332252638046312443787)/(8557499419867009)*a^(9) + (981137599365590656237)/(42787497099335045)*a^(7) + (45833883076385264573)/(42787497099335045)*a^(5) - (88736201216196)/(8557499419867009)*a^(3) - (3265339697080282)/(541613887333355)*a , (2089978589903421)/(42787497099335045)*a^(34) + (65933507837232)/(42787497099335045)*a^(32) + (4945936560989)/(42787497099335045)*a^(30) - (739851538700582836)/(42787497099335045)*a^(28) - (295450047605341)/(541613887333355)*a^(26) - (1750859240622119)/(42787497099335045)*a^(24) + (256956285387064079901)/(42787497099335045)*a^(22) + (8106359588605547447)/(42787497099335045)*a^(20) + (608087323291925309)/(42787497099335045)*a^(18) - (1752597738707451523881)/(42787497099335045)*a^(16) - (55304745030556281189)/(42787497099335045)*a^(14) - (4147524416975197129)/(42787497099335045)*a^(12) + (11727812666221418132491)/(42787497099335045)*a^(10) + (370087902203993603912)/(42787497099335045)*a^(8) + (27762526917078704074)/(42787497099335045)*a^(6) - (312305791821786)/(42787497099335045)*a^(4) - (726609009876983179)/(42787497099335045)*a^(2) + (42786758027345771)/(42787497099335045) ], 860633953627025.8, [[x^2 - x + 1, 1], [x^2 + 1, 1], [x^2 - 3, 1], [x^3 - 3*x - 1, 1], [x^3 - 39*x - 91, 1], [x^3 - 39*x - 26, 1], [x^3 - x^2 - 4*x - 1, 1], [x^4 - x^2 + 1, 1], [x^6 - x^3 + 1, 1], [x^6 - 91*x^3 + 2197, 1], [x^6 - 26*x^3 + 2197, 1], [x^6 - x^5 + 5*x^4 + 6*x^3 + 15*x^2 + 4*x + 1, 1], [x^6 + 6*x^4 + 9*x^2 + 1, 1], [x^6 - 6*x^4 + 9*x^2 - 3, 1], [x^6 + 78*x^4 + 1521*x^2 + 8281, 1], [x^6 - 78*x^4 + 1521*x^2 - 507, 1], [x^6 + 78*x^4 + 1521*x^2 + 676, 1], [x^6 - 78*x^4 + 1521*x^2 - 8112, 1], [x^6 + 9*x^4 + 14*x^2 + 1, 1], [x^6 - 2*x^5 - 16*x^4 + 18*x^3 + 39*x^2 - 52*x + 13, 1], [x^9 - 3*x^8 - 18*x^7 + 38*x^6 + 93*x^5 - 147*x^4 - 161*x^3 + 201*x^2 + 57*x - 53, 1], [x^12 - x^6 + 1, 1], [x^12 + 3887*x^6 + 4826809, 1], [x^12 - 3718*x^6 + 4826809, 1], [x^12 - 9*x^10 + 67*x^8 - 124*x^6 + 187*x^4 - 14*x^2 + 1, 1], [x^18 - 16*x^15 + 305*x^12 + 786*x^9 + 2385*x^6 + 49*x^3 + 1, 1], [x^18 + 45*x^16 + 738*x^14 + 5996*x^12 + 26937*x^10 + 69201*x^8 + 99645*x^6 + 74337*x^4 + 24555*x^2 + 2809, 1], [x^18 - 6*x^17 - 27*x^16 + 190*x^15 + 252*x^14 - 2292*x^13 - 796*x^12 + 13428*x^11 - 1767*x^10 - 40488*x^9 + 17475*x^8 + 60252*x^7 - 39087*x^6 - 37440*x^5 + 32055*x^4 + 5474*x^3 - 8583*x^2 + 1170*x + 181, 1]]]