/* 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 - 9*x^18 + 24*x^17 - 6*x^16 - 42*x^15 + 4*x^14 + 34*x^13 + 74*x^12 + 46*x^11 - 238*x^10 - 49*x^9 + 181*x^8 + 195*x^7 + 116*x^6 - 193*x^5 - 275*x^4 + 106*x^3 - 8*x^2 + 121*x - 1, 19, 2, [1, 9], -49578494467761916312526550343, [1543], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 - 1/3, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/3*a^12 - 1/3*a^4, 1/3*a^13 - 1/3*a^5, 1/9*a^14 + 1/9*a^13 - 1/9*a^12 - 1/9*a^10 - 1/9*a^9 + 1/9*a^8 + 2/9*a^6 + 2/9*a^5 - 2/9*a^4 - 2/9*a^2 - 2/9*a + 2/9, 1/9*a^15 + 1/9*a^13 + 1/9*a^12 - 1/9*a^11 - 1/9*a^9 - 1/9*a^8 + 2/9*a^7 + 2/9*a^5 + 2/9*a^4 - 2/9*a^3 - 2/9*a - 2/9, 1/855*a^16 - 11/285*a^15 + 41/855*a^14 + 89/855*a^13 + 14/171*a^12 + 11/285*a^11 + 103/855*a^10 + 82/855*a^9 - 4/57*a^8 - 67/285*a^7 - 17/855*a^6 - 371/855*a^5 + 73/171*a^4 - 29/285*a^3 + 251/855*a^2 - 169/855*a - 61/855, 1/2565*a^17 - 98/2565*a^15 - 26/855*a^14 - 413/2565*a^13 - 32/2565*a^12 - 43/2565*a^11 - 43/855*a^10 + 122/855*a^9 + 194/2565*a^8 - 5/27*a^7 - 184/855*a^6 + 92/2565*a^5 - 487/2565*a^4 + 179/513*a^3 + 298/855*a^2 + 917/2565*a + 1027/2565, 1/4772442701295*a^18 + 662887919/4772442701295*a^17 + 1752360862/4772442701295*a^16 + 33487901806/954488540259*a^15 + 13895980616/954488540259*a^14 + 58546782047/1590814233765*a^13 + 736040120899/4772442701295*a^12 - 723266576861/4772442701295*a^11 - 43584455216/318162846753*a^10 + 474576464078/4772442701295*a^9 + 935269937/38800347165*a^8 + 647391070363/4772442701295*a^7 - 1487278745026/4772442701295*a^6 - 660860588378/1590814233765*a^5 - 1990918487548/4772442701295*a^4 + 326430003014/4772442701295*a^3 - 26896025713/60410667105*a^2 + 185213667625/954488540259*a - 51519525688/251181194805], 0, 1, [], 1, [ (17959875136)/(530271411255)*a^(18) - (170742520601)/(530271411255)*a^(17) + (168526829131)/(176757137085)*a^(16) - (249098257613)/(530271411255)*a^(15) - (107705448476)/(58919045695)*a^(14) + (141861836681)/(106054282251)*a^(13) + (1026407780539)/(530271411255)*a^(12) + (196483523537)/(530271411255)*a^(11) - (213101128832)/(530271411255)*a^(10) - (256272399431)/(35351427417)*a^(9) + (32404310506)/(12933449055)*a^(8) + (4995260337812)/(530271411255)*a^(7) - (8235336552)/(58919045695)*a^(6) - (419460757742)/(106054282251)*a^(5) - (1360146353143)/(530271411255)*a^(4) - (1658717815748)/(530271411255)*a^(3) + (1831912804)/(353278755)*a^(2) - (623739678769)/(530271411255)*a + (507780115297)/(530271411255) , (13156927406)/(4772442701295)*a^(18) - (29591640715)/(954488540259)*a^(17) + (109483527277)/(954488540259)*a^(16) - (461920476377)/(4772442701295)*a^(15) - (258869780084)/(954488540259)*a^(14) + (4827003128)/(16745412987)*a^(13) + (3067488956732)/(4772442701295)*a^(12) - (277717320521)/(954488540259)*a^(11) - (258386622394)/(318162846753)*a^(10) - (1551479184340)/(954488540259)*a^(9) + (11331086483)/(7760069433)*a^(8) + (3106736399332)/(954488540259)*a^(7) + (1419688731886)/(4772442701295)*a^(6) - (1024009356113)/(318162846753)*a^(5) - (2603687341768)/(954488540259)*a^(4) - (3058554546107)/(4772442701295)*a^(3) + (2342384036)/(635901759)*a^(2) + (991610363252)/(954488540259)*a + (1824113337292)/(4772442701295) , (42669179771)/(4772442701295)*a^(18) - (334653386162)/(4772442701295)*a^(17) + (596805388544)/(4772442701295)*a^(16) + (848855610022)/(4772442701295)*a^(15) - (25025270768)/(50236238961)*a^(14) + (3735872006)/(83727064935)*a^(13) - (1561202891824)/(4772442701295)*a^(12) + (295109856557)/(251181194805)*a^(11) + (330932984561)/(318162846753)*a^(10) - (5562234879449)/(4772442701295)*a^(9) - (84517697401)/(38800347165)*a^(8) + (5383654096436)/(4772442701295)*a^(7) + (7442914958137)/(4772442701295)*a^(6) + (7209378381409)/(1590814233765)*a^(5) - (4074757663706)/(4772442701295)*a^(4) - (1972104993328)/(954488540259)*a^(3) + (286539964)/(60410667105)*a^(2) + (472190295728)/(954488540259)*a + (3527831449339)/(4772442701295) , (179374741)/(110987039565)*a^(18) - (3701085019)/(110987039565)*a^(17) + (25590312451)/(110987039565)*a^(16) - (71663645878)/(110987039565)*a^(15) + (44860567228)/(110987039565)*a^(14) + (47022721987)/(36995679855)*a^(13) - (35277665647)/(22197407913)*a^(12) - (24021131401)/(22197407913)*a^(11) + (41117508368)/(36995679855)*a^(10) + (781793777)/(5841423135)*a^(9) + (3609172273)/(902333655)*a^(8) - (292017712856)/(110987039565)*a^(7) - (36868288612)/(5841423135)*a^(6) + (162142107617)/(36995679855)*a^(5) + (409488479663)/(110987039565)*a^(4) - (99131109319)/(110987039565)*a^(3) + (809404279)/(280979847)*a^(2) - (180538537792)/(110987039565)*a + (108776696858)/(110987039565) , (1213365566)/(78236765595)*a^(18) - (11519989592)/(78236765595)*a^(17) + (34715751704)/(78236765595)*a^(16) - (23264664908)/(78236765595)*a^(15) - (9002950439)/(15647353119)*a^(14) + (13450168954)/(26078921865)*a^(13) + (5510932091)/(78236765595)*a^(12) + (95301531908)/(78236765595)*a^(11) - (344972290)/(5215784373)*a^(10) - (252866301329)/(78236765595)*a^(9) + (394527154)/(636071265)*a^(8) + (221715247346)/(78236765595)*a^(7) + (35067046522)/(78236765595)*a^(6) + (50389294454)/(26078921865)*a^(5) - (316847425331)/(78236765595)*a^(4) - (13898712415)/(15647353119)*a^(3) + (1318508029)/(990338805)*a^(2) - (6794209435)/(15647353119)*a + (75077899054)/(78236765595) , (21587547676)/(4772442701295)*a^(18) - (204093079054)/(4772442701295)*a^(17) + (125740279940)/(954488540259)*a^(16) - (123915700130)/(954488540259)*a^(15) + (133182683302)/(4772442701295)*a^(14) - (58359328667)/(530271411255)*a^(13) - (15377793235)/(50236238961)*a^(12) + (6248593061482)/(4772442701295)*a^(11) - (321221377918)/(1590814233765)*a^(10) - (6071394919324)/(4772442701295)*a^(9) - (1926935149)/(12933449055)*a^(8) - (792817402987)/(954488540259)*a^(7) + (14579637031844)/(4772442701295)*a^(6) + (241896317311)/(176757137085)*a^(5) - (14963876953072)/(4772442701295)*a^(4) - (6374647569502)/(4772442701295)*a^(3) - (52486314469)/(60410667105)*a^(2) + (1224540768557)/(4772442701295)*a + (3227493096854)/(4772442701295) , (47936257897)/(4772442701295)*a^(18) - (448044733822)/(4772442701295)*a^(17) + (1202302108546)/(4772442701295)*a^(16) + (294510683534)/(4772442701295)*a^(15) - (5068119670088)/(4772442701295)*a^(14) + (186958326428)/(318162846753)*a^(13) + (9100301884528)/(4772442701295)*a^(12) - (6106874069861)/(4772442701295)*a^(11) - (2721805230883)/(1590814233765)*a^(10) - (82914318008)/(954488540259)*a^(9) + (53670820609)/(38800347165)*a^(8) + (819778705741)/(251181194805)*a^(7) - (292468243294)/(251181194805)*a^(6) - (1305481878095)/(318162846753)*a^(5) + (3873241031444)/(4772442701295)*a^(4) + (6368708899649)/(4772442701295)*a^(3) + (60637748177)/(60410667105)*a^(2) + (3555906193187)/(4772442701295)*a - (3267898875646)/(4772442701295) , (36486838)/(60410667105)*a^(18) - (904109332)/(60410667105)*a^(17) + (5679276124)/(60410667105)*a^(16) - (10611709492)/(60410667105)*a^(15) - (1560990148)/(12082133421)*a^(14) + (3401553518)/(6712296345)*a^(13) + (1864371938)/(12082133421)*a^(12) - (32509293452)/(60410667105)*a^(11) - (1785516857)/(4027377807)*a^(10) - (41513809339)/(60410667105)*a^(9) + (265006868)/(163714545)*a^(8) + (79548617746)/(60410667105)*a^(7) - (125138019436)/(60410667105)*a^(6) - (13972983007)/(6712296345)*a^(5) - (26084257816)/(60410667105)*a^(4) + (7178994551)/(60410667105)*a^(3) + (136723395311)/(60410667105)*a^(2) - (6787950947)/(12082133421)*a - (6261296407)/(60410667105) , a ], 17317158.8896, []]