/* 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 + 19*x^15 - 19*x^14 - 19*x^13 + 171*x^12 + 19*x^11 - 266*x^10 + 19*x^9 + 475*x^8 + 741*x^7 + 437*x^6 + 38*x^5 - 38*x^4 - 19*x^3 + 1, 19, 4, [1, 9], -714209495693373205673756419, [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, 1/10*a^16 + 1/5*a^15 - 1/10*a^14 + 1/10*a^13 + 1/5*a^12 - 3/10*a^11 - 1/5*a^10 - 1/5*a^9 - 2/5*a^8 + 3/10*a^6 - 1/10*a^5 + 2/5*a^4 - 1/10*a^3 + 3/10*a^2 - 1/2*a + 3/10, 1/370*a^17 + 6/185*a^16 - 171/370*a^15 + 51/370*a^14 + 16/185*a^13 - 123/370*a^12 - 71/185*a^11 + 69/185*a^10 - 52/185*a^9 - 14/37*a^8 + 93/370*a^7 - 41/370*a^6 + 92/185*a^5 - 91/370*a^4 - 147/370*a^3 + 15/74*a^2 - 137/370*a + 15/37, 1/26521869359148268510*a^18 - 6826040825032609/26521869359148268510*a^17 + 628721947265875046/13260934679574134255*a^16 + 6413722722121603321/13260934679574134255*a^15 - 1260785536523544687/13260934679574134255*a^14 - 909665398604062088/2652186935914826851*a^13 - 6616310951575836579/26521869359148268510*a^12 - 396876292381548847/5304373871829653702*a^11 - 1381901801247986266/13260934679574134255*a^10 + 2427022988972449907/13260934679574134255*a^9 - 4661541396092582077/26521869359148268510*a^8 - 411399133396466912/13260934679574134255*a^7 - 1276119457010125836/2652186935914826851*a^6 + 608820512510773566/2652186935914826851*a^5 - 3736187603432184098/13260934679574134255*a^4 + 1977641008305862037/26521869359148268510*a^3 + 480456212482391413/26521869359148268510*a^2 - 5284893778945036104/13260934679574134255*a + 1201796264987315159/5304373871829653702], 0, 1, [], 0, [ a , (2821589847247263681)/(26521869359148268510)*a^(18) + (324705206467517067)/(2652186935914826851)*a^(17) - (585432652769065589)/(26521869359148268510)*a^(16) + (191132438645721835)/(5304373871829653702)*a^(15) + (26433092505665539342)/(13260934679574134255)*a^(14) + (8674500683414847259)/(26521869359148268510)*a^(13) - (63465740653096772422)/(13260934679574134255)*a^(12) + (225224168311134681497)/(13260934679574134255)*a^(11) + (293716910544596855739)/(13260934679574134255)*a^(10) - (390802018397738166627)/(13260934679574134255)*a^(9) - (664350131893604224021)/(26521869359148268510)*a^(8) + (1454068676105143088703)/(26521869359148268510)*a^(7) + (1726432036430511286077)/(13260934679574134255)*a^(6) + (700571289363439906217)/(5304373871829653702)*a^(5) + (1433930548297838940439)/(26521869359148268510)*a^(4) + (217845346692710394983)/(26521869359148268510)*a^(3) - (129187184741103019539)/(26521869359148268510)*a^(2) - (24921763530522856628)/(13260934679574134255)*a - (5930623190911153336)/(13260934679574134255) , (10216472169536273957)/(26521869359148268510)*a^(18) - (2275008152320847384)/(13260934679574134255)*a^(17) + (471301533290613459)/(5304373871829653702)*a^(16) - (981472696708480119)/(26521869359148268510)*a^(15) + (97047999576234644058)/(13260934679574134255)*a^(14) - (280249981149156329369)/(26521869359148268510)*a^(13) - (31563967927898751713)/(13260934679574134255)*a^(12) + (885099751777852957081)/(13260934679574134255)*a^(11) - (305308571253631803733)/(13260934679574134255)*a^(10) - (1187892587837965041977)/(13260934679574134255)*a^(9) + (1270852704703595671157)/(26521869359148268510)*a^(8) + (4120227600518466778937)/(26521869359148268510)*a^(7) + (2882624745444423282214)/(13260934679574134255)*a^(6) + (2171869810938457967139)/(26521869359148268510)*a^(5) - (391482032316335402593)/(26521869359148268510)*a^(4) - (222712000904005360877)/(26521869359148268510)*a^(3) - (232773751980773000991)/(26521869359148268510)*a^(2) + (43506890337074631347)/(13260934679574134255)*a + (4221074936489079254)/(13260934679574134255) , (587835118898817727)/(13260934679574134255)*a^(18) + (295874246044315057)/(5304373871829653702)*a^(17) - (833741532537998963)/(26521869359148268510)*a^(16) - (178197647490634089)/(26521869359148268510)*a^(15) + (11128583838149070644)/(13260934679574134255)*a^(14) + (5756331076903038019)/(26521869359148268510)*a^(13) - (13227688078541748759)/(5304373871829653702)*a^(12) + (185068613273124051597)/(26521869359148268510)*a^(11) + (146759898083815134598)/(13260934679574134255)*a^(10) - (211603736437526084316)/(13260934679574134255)*a^(9) - (206018677671822818863)/(13260934679574134255)*a^(8) + (781306016325852565107)/(26521869359148268510)*a^(7) + (161665607980971104074)/(2652186935914826851)*a^(6) + (1238974449059344864007)/(26521869359148268510)*a^(5) - (40216579352945864537)/(26521869359148268510)*a^(4) - (258126480863908369793)/(13260934679574134255)*a^(3) - (110442607398365115161)/(13260934679574134255)*a^(2) - (12197117101896266647)/(13260934679574134255)*a + (13577545223975122321)/(26521869359148268510) , (3780813683969624329)/(26521869359148268510)*a^(18) + (1898494392258969419)/(13260934679574134255)*a^(17) - (2736332648864971841)/(26521869359148268510)*a^(16) + (316669747534256025)/(5304373871829653702)*a^(15) + (7137033800839645310)/(2652186935914826851)*a^(14) + (413433788202801051)/(26521869359148268510)*a^(13) - (98055571390259410371)/(13260934679574134255)*a^(12) + (328381208314870939779)/(13260934679574134255)*a^(11) + (366836322100753177629)/(13260934679574134255)*a^(10) - (709969937959255685053)/(13260934679574134255)*a^(9) - (143263085357028928793)/(5304373871829653702)*a^(8) + (2554471921037742693551)/(26521869359148268510)*a^(7) + (412576605493501075659)/(2652186935914826851)*a^(6) + (3317810332997272501203)/(26521869359148268510)*a^(5) + (13913805636897678667)/(716807279976980230)*a^(4) - (246865445804180738403)/(26521869359148268510)*a^(3) + (52413057959987360351)/(26521869359148268510)*a^(2) - (6756871317695123215)/(2652186935914826851)*a + (4974368458754618782)/(13260934679574134255) , (456775977678263989)/(26521869359148268510)*a^(18) - (20586574931610225)/(2652186935914826851)*a^(17) - (688333087589139477)/(26521869359148268510)*a^(16) + (673619756244234913)/(26521869359148268510)*a^(15) + (4220230175777873996)/(13260934679574134255)*a^(14) - (2492038973293495613)/(5304373871829653702)*a^(13) - (8948639051926818749)/(13260934679574134255)*a^(12) + (1457677419406644971)/(358403639988490115)*a^(11) - (15387837955074084098)/(13260934679574134255)*a^(10) - (124420294736810045257)/(13260934679574134255)*a^(9) + (33285261942586269597)/(5304373871829653702)*a^(8) + (366686049065832317257)/(26521869359148268510)*a^(7) + (33921653262637454874)/(13260934679574134255)*a^(6) - (207283129108488669409)/(26521869359148268510)*a^(5) - (310376617972666057353)/(26521869359148268510)*a^(4) + (87409619395906727393)/(26521869359148268510)*a^(3) + (166014019622893953291)/(26521869359148268510)*a^(2) + (2337328648284928113)/(13260934679574134255)*a + (8847078339453690572)/(13260934679574134255) , (456478150412940428)/(2652186935914826851)*a^(18) - (1757524451064269341)/(13260934679574134255)*a^(17) + (1994405051339643959)/(26521869359148268510)*a^(16) - (533172476738630371)/(13260934679574134255)*a^(15) + (17549659688541830935)/(5304373871829653702)*a^(14) - (154521679574819541111)/(26521869359148268510)*a^(13) + (9360344357990490621)/(13260934679574134255)*a^(12) + (157753086996091081455)/(5304373871829653702)*a^(11) - (256169364591370945266)/(13260934679574134255)*a^(10) - (479238555659726361069)/(13260934679574134255)*a^(9) + (446055838389365468454)/(13260934679574134255)*a^(8) + (860267864004373871487)/(13260934679574134255)*a^(7) + (1881449176558892208201)/(26521869359148268510)*a^(6) + (154693625613716621309)/(26521869359148268510)*a^(5) - (79064895642625901033)/(13260934679574134255)*a^(4) + (73823550448124763301)/(26521869359148268510)*a^(3) + (12333067963459397279)/(26521869359148268510)*a^(2) - (10662468563527617121)/(26521869359148268510)*a + (9572436075278189679)/(26521869359148268510) , (1228960797721632798)/(13260934679574134255)*a^(18) + (83955582070005463)/(5304373871829653702)*a^(17) + (1770738504045781)/(5304373871829653702)*a^(16) + (220352876250622713)/(26521869359148268510)*a^(15) + (4601332298018491558)/(2652186935914826851)*a^(14) - (38212263721120744687)/(26521869359148268510)*a^(13) - (54506667488932031031)/(26521869359148268510)*a^(12) + (416228184172715520827)/(26521869359148268510)*a^(11) + (10083366268357866639)/(2652186935914826851)*a^(10) - (312461835986035716316)/(13260934679574134255)*a^(9) - (12241280820984963361)/(13260934679574134255)*a^(8) + (1048489469828969610863)/(26521869359148268510)*a^(7) + (1017155151839025136928)/(13260934679574134255)*a^(6) + (1607903200673398302441)/(26521869359148268510)*a^(5) + (38462712232865724407)/(5304373871829653702)*a^(4) - (130516860614061348213)/(13260934679574134255)*a^(3) - (1047271428372062413)/(358403639988490115)*a^(2) + (10121692406694806287)/(13260934679574134255)*a + (32085529577805335)/(5304373871829653702) , (555287056779977302)/(13260934679574134255)*a^(18) - (168573020837348313)/(26521869359148268510)*a^(17) - (291912677727288233)/(26521869359148268510)*a^(16) - (732391738932965329)/(26521869359148268510)*a^(15) + (10628675475050745167)/(13260934679574134255)*a^(14) - (24426500430777267651)/(26521869359148268510)*a^(13) - (23360949495103726999)/(26521869359148268510)*a^(12) + (36902076276080748105)/(5304373871829653702)*a^(11) + (1518028377160012425)/(2652186935914826851)*a^(10) - (170125298610099758751)/(13260934679574134255)*a^(9) - (6368540210807943951)/(2652186935914826851)*a^(8) + (610589038231951503043)/(26521869359148268510)*a^(7) + (462600773741659467628)/(13260934679574134255)*a^(6) + (165595177084956167969)/(26521869359148268510)*a^(5) - (119492294807305710051)/(5304373871829653702)*a^(4) - (299085447248460795583)/(13260934679574134255)*a^(3) - (134088371211786932842)/(13260934679574134255)*a^(2) - (37114624160516428979)/(13260934679574134255)*a - (8104393220559002191)/(26521869359148268510) ], 1437945.22979, []]