/* 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^19 - 2*x^18 + 8*x^17 - 12*x^16 + 43*x^15 - 74*x^14 + 108*x^13 - 18*x^12 - 25*x^11 + 338*x^9 - 70*x^8 - 264*x^7 - 128*x^6 + 120*x^5 + 98*x^4 + 43*x^3 - 22*x^2 - 31*x - 8, 19, 6, [1, 9], -75613185918270483380568064, [2, 19], [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, 1/39400150873630551157999*a^18 - 12080147394465471598402/39400150873630551157999*a^17 - 9753733715124784245249/39400150873630551157999*a^16 - 9235379841661719531612/39400150873630551157999*a^15 - 8557727836047276750604/39400150873630551157999*a^14 - 3769599737957497726074/39400150873630551157999*a^13 - 19063720987888872194204/39400150873630551157999*a^12 - 5806182467773850213415/39400150873630551157999*a^11 - 8612257376902739598163/39400150873630551157999*a^10 + 17862669450433223958046/39400150873630551157999*a^9 - 5688014749199544505380/39400150873630551157999*a^8 - 13839704170299550729659/39400150873630551157999*a^7 - 10932224163403606145946/39400150873630551157999*a^6 - 2172471404164941776342/39400150873630551157999*a^5 + 17614982574680198035959/39400150873630551157999*a^4 - 6161996356261955966797/39400150873630551157999*a^3 + 17496426713903776840932/39400150873630551157999*a^2 + 2488339540236741096796/39400150873630551157999*a - 16292170091273999535750/39400150873630551157999], 0, 1, [], 0, [ (757080908635904423222)/(39400150873630551157999)*a^(18) - (547132247821881814648)/(39400150873630551157999)*a^(17) + (3056177907769870474558)/(39400150873630551157999)*a^(16) + (1567751166433141638014)/(39400150873630551157999)*a^(15) + (11254222989635870347188)/(39400150873630551157999)*a^(14) + (3685303696103922178660)/(39400150873630551157999)*a^(13) - (41298660263018887699531)/(39400150873630551157999)*a^(12) + (197010584766074565036601)/(39400150873630551157999)*a^(11) - (188543411947468475852686)/(39400150873630551157999)*a^(10) + (40900419098341141206486)/(39400150873630551157999)*a^(9) + (333875630032394189731385)/(39400150873630551157999)*a^(8) + (213044187858511099252197)/(39400150873630551157999)*a^(7) - (605413349687882104588029)/(39400150873630551157999)*a^(6) - (19750385729193887302165)/(39400150873630551157999)*a^(5) + (344320349751954340267570)/(39400150873630551157999)*a^(4) + (25299272634119731101528)/(39400150873630551157999)*a^(3) - (128367626886695809386362)/(39400150873630551157999)*a^(2) + (17262714209935538893307)/(39400150873630551157999)*a + (27634655571487885362127)/(39400150873630551157999) , (1235016279361582561106)/(39400150873630551157999)*a^(18) - (3585591874596940353708)/(39400150873630551157999)*a^(17) + (12032981908808451780756)/(39400150873630551157999)*a^(16) - (23949932645886072721139)/(39400150873630551157999)*a^(15) + (66851552192923820713746)/(39400150873630551157999)*a^(14) - (142616231847962343908709)/(39400150873630551157999)*a^(13) + (220974985265689118867593)/(39400150873630551157999)*a^(12) - (163257798728743757903510)/(39400150873630551157999)*a^(11) + (32819785324218636275458)/(39400150873630551157999)*a^(10) - (71833231321318265252355)/(39400150873630551157999)*a^(9) + (536194145031657807452378)/(39400150873630551157999)*a^(8) - (595825374608353145953890)/(39400150873630551157999)*a^(7) - (184814899561859299031010)/(39400150873630551157999)*a^(6) - (6772669016878325563987)/(39400150873630551157999)*a^(5) + (367550356433354674968319)/(39400150873630551157999)*a^(4) - (67027740283912351604982)/(39400150873630551157999)*a^(3) + (13842121833547750449229)/(39400150873630551157999)*a^(2) - (72399231849403724766746)/(39400150873630551157999)*a - (41184774407123424090627)/(39400150873630551157999) , (464288233825045303010)/(39400150873630551157999)*a^(18) - (2175968432441329757891)/(39400150873630551157999)*a^(17) + (6456816698210706090842)/(39400150873630551157999)*a^(16) - (16426188180230373024310)/(39400150873630551157999)*a^(15) + (37688292372062949127946)/(39400150873630551157999)*a^(14) - (94052722804897438931246)/(39400150873630551157999)*a^(13) + (157537866422828057211011)/(39400150873630551157999)*a^(12) - (177594566340910155530934)/(39400150873630551157999)*a^(11) + (64966477546312602123765)/(39400150873630551157999)*a^(10) - (13249023523979728566517)/(39400150873630551157999)*a^(9) + (151882989653622461410758)/(39400150873630551157999)*a^(8) - (432923156306420949038643)/(39400150873630551157999)*a^(7) + (36219947019879181809727)/(39400150873630551157999)*a^(6) + (109964034697885953628235)/(39400150873630551157999)*a^(5) + (205202254606237353704265)/(39400150873630551157999)*a^(4) - (73056059078748097247925)/(39400150873630551157999)*a^(3) - (31261610762354583367492)/(39400150873630551157999)*a^(2) - (69512283278911010964956)/(39400150873630551157999)*a - (3657240765773318763087)/(39400150873630551157999) , (77049738869447660254)/(39400150873630551157999)*a^(18) - (1168725247932415180006)/(39400150873630551157999)*a^(17) + (1898177716288780572391)/(39400150873630551157999)*a^(16) - (8551128778022002853073)/(39400150873630551157999)*a^(15) + (11104932056631320571366)/(39400150873630551157999)*a^(14) - (48290052327777467859488)/(39400150873630551157999)*a^(13) + (60876811645141825635186)/(39400150873630551157999)*a^(12) - (98898749007207481477117)/(39400150873630551157999)*a^(11) - (3257671183820943789216)/(39400150873630551157999)*a^(10) - (65903272280292003783932)/(39400150873630551157999)*a^(9) + (49161459204425769814990)/(39400150873630551157999)*a^(8) - (365593638507476066994381)/(39400150873630551157999)*a^(7) - (225039661991974218023021)/(39400150873630551157999)*a^(6) - (26131622717556583590883)/(39400150873630551157999)*a^(5) + (249928087217159094615317)/(39400150873630551157999)*a^(4) + (51498074910084168080146)/(39400150873630551157999)*a^(3) - (125585192922376689338684)/(39400150873630551157999)*a^(2) - (64770938430695957530205)/(39400150873630551157999)*a - (2374892776159644464175)/(39400150873630551157999) , (1676690856949941365385)/(39400150873630551157999)*a^(18) - (3623757482866900857330)/(39400150873630551157999)*a^(17) + (14517369737614824174768)/(39400150873630551157999)*a^(16) - (22640507844010209683664)/(39400150873630551157999)*a^(15) + (78228183302257806875770)/(39400150873630551157999)*a^(14) - (135523694102593091520978)/(39400150873630551157999)*a^(13) + (214044108201226931875857)/(39400150873630551157999)*a^(12) - (61730370420895073470145)/(39400150873630551157999)*a^(11) - (44379662060846714297205)/(39400150873630551157999)*a^(10) + (113175032648736553050513)/(39400150873630551157999)*a^(9) + (483598793652887973486965)/(39400150873630551157999)*a^(8) - (158231159788938555808387)/(39400150873630551157999)*a^(7) - (224521795251319042014755)/(39400150873630551157999)*a^(6) + (12268838186401051733964)/(39400150873630551157999)*a^(5) + (91088067759830021033192)/(39400150873630551157999)*a^(4) + (5450105223364185556075)/(39400150873630551157999)*a^(3) + (32653447931975111493705)/(39400150873630551157999)*a^(2) - (7574594845081256445388)/(39400150873630551157999)*a - (16977617576047603592665)/(39400150873630551157999) , (988947013697939283332)/(39400150873630551157999)*a^(18) - (1118614931815368110800)/(39400150873630551157999)*a^(17) + (5227425025033143286426)/(39400150873630551157999)*a^(16) - (2411216004904502960631)/(39400150873630551157999)*a^(15) + (23091580994420233092725)/(39400150873630551157999)*a^(14) - (19209511175340539268578)/(39400150873630551157999)*a^(13) - (7138954551373616773938)/(39400150873630551157999)*a^(12) + (176321758370467614847590)/(39400150873630551157999)*a^(11) - (198881917862856975751055)/(39400150873630551157999)*a^(10) + (77026906447054811962532)/(39400150873630551157999)*a^(9) + (324927236652910519087605)/(39400150873630551157999)*a^(8) + (223700233214967755090975)/(39400150873630551157999)*a^(7) - (667757909214280646694524)/(39400150873630551157999)*a^(6) - (74489165889712711303222)/(39400150873630551157999)*a^(5) + (212227720274274478243664)/(39400150873630551157999)*a^(4) + (143803715510046707581862)/(39400150873630551157999)*a^(3) - (108432935901286993150576)/(39400150873630551157999)*a^(2) + (37104257978656719684595)/(39400150873630551157999)*a - (8049565168940260002313)/(39400150873630551157999) , (3256777270623314734318)/(39400150873630551157999)*a^(18) - (8024914599845700738792)/(39400150873630551157999)*a^(17) + (30369099679049632626701)/(39400150873630551157999)*a^(16) - (54362437461409508893770)/(39400150873630551157999)*a^(15) + (170271828918782405169195)/(39400150873630551157999)*a^(14) - (327396160764787318495156)/(39400150873630551157999)*a^(13) + (530616250461247481814874)/(39400150873630551157999)*a^(12) - (349531507630918705146037)/(39400150873630551157999)*a^(11) + (152149778572813117789473)/(39400150873630551157999)*a^(10) - (87187847310280220733361)/(39400150873630551157999)*a^(9) + (1128962323298073761929208)/(39400150873630551157999)*a^(8) - (716806993543833407111223)/(39400150873630551157999)*a^(7) - (360148973080813251729317)/(39400150873630551157999)*a^(6) - (279009603073401468530569)/(39400150873630551157999)*a^(5) + (433493142496456551714295)/(39400150873630551157999)*a^(4) + (103157252200398368836103)/(39400150873630551157999)*a^(3) + (79566608097698509043765)/(39400150873630551157999)*a^(2) - (84008567174151007894942)/(39400150873630551157999)*a - (37721003335938512243237)/(39400150873630551157999) , (183469238500412638204)/(39400150873630551157999)*a^(18) - (986795822200265892268)/(39400150873630551157999)*a^(17) + (2573824633816396396282)/(39400150873630551157999)*a^(16) - (6495087188455685569517)/(39400150873630551157999)*a^(15) + (13757366282829465321124)/(39400150873630551157999)*a^(14) - (36136805941650183547615)/(39400150873630551157999)*a^(13) + (57777743851001004708458)/(39400150873630551157999)*a^(12) - (47227024056196703778994)/(39400150873630551157999)*a^(11) - (23887315233180415530270)/(39400150873630551157999)*a^(10) + (38200001336138204058691)/(39400150873630551157999)*a^(9) + (92393608026684585084427)/(39400150873630551157999)*a^(8) - (228851107471150669944602)/(39400150873630551157999)*a^(7) - (92410044210676776152052)/(39400150873630551157999)*a^(6) + (356452933662134286128937)/(39400150873630551157999)*a^(5) + (152722589672189339654951)/(39400150873630551157999)*a^(4) - (160226343015273311699128)/(39400150873630551157999)*a^(3) - (139071239031107106259089)/(39400150873630551157999)*a^(2) + (28482465964406010173834)/(39400150873630551157999)*a + (20298052537749279813629)/(39400150873630551157999) , (3877843578596961623795)/(39400150873630551157999)*a^(18) - (8675618027147954523616)/(39400150873630551157999)*a^(17) + (33022456375239201641722)/(39400150873630551157999)*a^(16) - (53771317397724384650058)/(39400150873630551157999)*a^(15) + (178136265538989520555735)/(39400150873630551157999)*a^(14) - (324869741897071037188388)/(39400150873630551157999)*a^(13) + (488520667170026275841259)/(39400150873630551157999)*a^(12) - (162797899154554837167849)/(39400150873630551157999)*a^(11) - (93855096785926667747920)/(39400150873630551157999)*a^(10) + (62546201215878541193299)/(39400150873630551157999)*a^(9) + (1315978814394919853441419)/(39400150873630551157999)*a^(8) - (635012119456755702384545)/(39400150873630551157999)*a^(7) - (844716956619123820524620)/(39400150873630551157999)*a^(6) - (156735491561999221055966)/(39400150873630551157999)*a^(5) + (491748049143390291194329)/(39400150873630551157999)*a^(4) + (143017698231172849542856)/(39400150873630551157999)*a^(3) + (105103934325033968534434)/(39400150873630551157999)*a^(2) - (104243640327668711727999)/(39400150873630551157999)*a - (74797647447466565848209)/(39400150873630551157999) ], 540383.098056, []]