/* 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 - 5*x^18 + 11*x^17 - 10*x^16 + 3*x^15 + 3*x^14 - 80*x^13 + 481*x^12 - 1180*x^11 + 1220*x^10 + 888*x^9 - 5070*x^8 + 8854*x^7 - 9440*x^6 + 6893*x^5 - 3748*x^4 + 2592*x^3 - 2790*x^2 + 2673*x - 1053, 19, 2, [1, 9], -101575284882268140616515967431, [3, 557], [1, a, a^2, a^3, a^4, 1/3*a^5 + 1/3*a^3 + 1/3*a, 1/3*a^6 + 1/3*a^4 + 1/3*a^2, 1/3*a^7 - 1/3*a, 1/9*a^8 + 1/3*a^4 - 4/9*a^2, 1/9*a^9 + 2/9*a^3 - 1/3*a, 1/9*a^10 + 2/9*a^4 - 1/3*a^2, 1/27*a^11 - 1/27*a^9 + 1/9*a^7 + 2/27*a^5 + 1/3*a^4 + 4/27*a^3 - 1/3*a^2 - 1/3*a, 1/27*a^12 - 1/27*a^10 + 2/27*a^6 - 5/27*a^4 + 1/3*a^3 + 1/9*a^2 - 1/3*a, 1/81*a^13 + 1/81*a^11 + 1/27*a^10 - 2/81*a^9 - 1/27*a^8 + 8/81*a^7 - 1/9*a^6 - 1/81*a^5 - 4/27*a^4 + 11/81*a^3 + 7/27*a^2 + 1/9*a - 1/3, 1/81*a^14 + 1/81*a^12 - 2/81*a^10 - 1/81*a^8 + 1/9*a^7 - 1/81*a^6 + 1/9*a^5 + 38/81*a^4 + 4/9*a^3 - 1/9*a^2, 1/243*a^15 + 1/243*a^14 + 1/243*a^13 + 1/243*a^12 - 2/243*a^11 - 2/243*a^10 - 10/243*a^9 + 8/243*a^8 + 35/243*a^7 + 35/243*a^6 - 34/243*a^5 - 61/243*a^4 - 8/27*a^3 + 11/27*a^2 - 1/3, 1/3159*a^16 - 2/3159*a^15 + 16/3159*a^14 + 10/3159*a^13 + 1/243*a^12 + 43/3159*a^11 + 158/3159*a^10 - 67/3159*a^9 - 70/3159*a^8 - 298/3159*a^7 + 302/3159*a^6 + 245/3159*a^5 + 406/1053*a^4 + 203/1053*a^3 + 25/351*a^2 + 10/117*a - 1/3, 1/161109*a^17 + 16/161109*a^16 - 37/53703*a^15 - 61/53703*a^14 - 161/53703*a^13 - 653/53703*a^12 - 290/161109*a^11 - 122/161109*a^10 + 424/53703*a^9 + 2878/53703*a^8 - 331/53703*a^7 + 34/243*a^6 - 9530/161109*a^5 + 70828/161109*a^4 + 4753/17901*a^3 + 3028/17901*a^2 - 11/117*a + 52/153, 1/1302244047*a^18 + 428/144693783*a^17 - 80209/1302244047*a^16 + 793007/434081349*a^15 + 1936471/434081349*a^14 - 63280/33390873*a^13 + 313963/100172619*a^12 - 7269046/434081349*a^11 - 67681507/1302244047*a^10 - 23466806/434081349*a^9 + 18566036/434081349*a^8 + 1014310/33390873*a^7 - 24995450/1302244047*a^6 - 59695478/434081349*a^5 + 630458807/1302244047*a^4 + 2484602/5359029*a^3 - 51382954/144693783*a^2 - 6634339/16077087*a + 520313/1236699], 0, 1, [], 1, [ (2245027)/(1302244047)*a^(18) - (1377262)/(144693783)*a^(17) + (22557497)/(1302244047)*a^(16) - (708839)/(144693783)*a^(15) - (7222558)/(434081349)*a^(14) + (276232)/(48231261)*a^(13) - (199041563)/(1302244047)*a^(12) + (132135868)/(144693783)*a^(11) - (2557216489)/(1302244047)*a^(10) + (126933494)/(144693783)*a^(9) + (1748164948)/(434081349)*a^(8) - (497693552)/(48231261)*a^(7) + (1263225316)/(100172619)*a^(6) - (382805542)/(48231261)*a^(5) - (2114394868)/(1302244047)*a^(4) + (3742811)/(412233)*a^(3) - (1365238492)/(144693783)*a^(2) + (94370168)/(16077087)*a - (4057633)/(1236699) , (406838)/(144693783)*a^(18) - (16183489)/(1302244047)*a^(17) + (25830203)/(1302244047)*a^(16) - (1763357)/(434081349)*a^(15) - (3456923)/(434081349)*a^(14) - (694141)/(434081349)*a^(13) - (99833692)/(434081349)*a^(12) + (1593348335)/(1302244047)*a^(11) - (2996263279)/(1302244047)*a^(10) + (342032915)/(434081349)*a^(9) + (2037355205)/(434081349)*a^(8) - (4824433418)/(434081349)*a^(7) + (5858425957)/(434081349)*a^(6) - (13216639594)/(1302244047)*a^(5) + (6674182718)/(1302244047)*a^(4) - (37093100)/(16077087)*a^(3) + (437696276)/(144693783)*a^(2) - (7291514)/(1786343)*a + (1736531)/(1236699) , (253148)/(76602591)*a^(18) - (2142689)/(144693783)*a^(17) + (34669133)/(1302244047)*a^(16) - (491263)/(33390873)*a^(15) - (1517222)/(434081349)*a^(14) + (131843)/(33390873)*a^(13) - (349610864)/(1302244047)*a^(12) + (622474220)/(434081349)*a^(11) - (3929996398)/(1302244047)*a^(10) + (826236733)/(434081349)*a^(9) + (1951885688)/(434081349)*a^(8) - (6175771847)/(434081349)*a^(7) + (1497929795)/(76602591)*a^(6) - (7545034148)/(434081349)*a^(5) + (13080722648)/(1302244047)*a^(4) - (770296021)/(144693783)*a^(3) + (742806848)/(144693783)*a^(2) - (1849121)/(315237)*a + (5710457)/(1236699) , (194)/(161109)*a^(18) - (776)/(161109)*a^(17) + (1556)/(161109)*a^(16) - (415)/(53703)*a^(15) + (74)/(17901)*a^(14) + (2)/(243)*a^(13) - (15529)/(161109)*a^(12) + (4613)/(9477)*a^(11) - (167017)/(161109)*a^(10) + (52042)/(53703)*a^(9) + (2131)/(1989)*a^(8) - (262618)/(53703)*a^(7) + (1345769)/(161109)*a^(6) - (1373501)/(161109)*a^(5) + (909239)/(161109)*a^(4) - (14555)/(5967)*a^(3) + (34247)/(17901)*a^(2) - (5060)/(1989)*a + (353)/(153) , (290465)/(434081349)*a^(18) + (23606)/(144693783)*a^(17) - (3994465)/(434081349)*a^(16) + (303121)/(11130291)*a^(15) - (3611783)/(144693783)*a^(14) + (1356740)/(144693783)*a^(13) - (18545452)/(434081349)*a^(12) + (347050)/(11130291)*a^(11) + (361026104)/(434081349)*a^(10) - (138542203)/(48231261)*a^(9) + (571401761)/(144693783)*a^(8) + (28897390)/(144693783)*a^(7) - (4542944455)/(434081349)*a^(6) + (1033309832)/(48231261)*a^(5) - (10595745694)/(434081349)*a^(4) + (2520860084)/(144693783)*a^(3) - (28150219)/(5359029)*a^(2) - (2531954)/(1236699)*a + (1089784)/(412233) , (194)/(161109)*a^(18) - (776)/(161109)*a^(17) + (1556)/(161109)*a^(16) - (415)/(53703)*a^(15) + (74)/(17901)*a^(14) + (2)/(243)*a^(13) - (15529)/(161109)*a^(12) + (4613)/(9477)*a^(11) - (167017)/(161109)*a^(10) + (52042)/(53703)*a^(9) + (2131)/(1989)*a^(8) - (262618)/(53703)*a^(7) + (1345769)/(161109)*a^(6) - (1373501)/(161109)*a^(5) + (909239)/(161109)*a^(4) - (8588)/(5967)*a^(3) - (19456)/(17901)*a^(2) + (2896)/(1989)*a + (47)/(153) , (156175)/(100172619)*a^(18) - (12834241)/(1302244047)*a^(17) + (32766751)/(1302244047)*a^(16) - (10663559)/(434081349)*a^(15) - (28456)/(11130291)*a^(14) + (4847834)/(434081349)*a^(13) - (145765961)/(1302244047)*a^(12) + (1199630408)/(1302244047)*a^(11) - (266051672)/(100172619)*a^(10) + (1317866165)/(434081349)*a^(9) + (282965042)/(144693783)*a^(8) - (5058850577)/(434081349)*a^(7) + (25074823822)/(1302244047)*a^(6) - (24764010793)/(1302244047)*a^(5) + (16439622340)/(1302244047)*a^(4) - (898602001)/(144693783)*a^(3) + (747627193)/(144693783)*a^(2) - (12141715)/(1786343)*a + (6477520)/(1236699) , (76538)/(100172619)*a^(18) - (609731)/(144693783)*a^(17) + (786109)/(100172619)*a^(16) - (1780010)/(434081349)*a^(15) - (573553)/(434081349)*a^(14) - (1039988)/(434081349)*a^(13) - (83759752)/(1302244047)*a^(12) + (169768072)/(434081349)*a^(11) - (1151742266)/(1302244047)*a^(10) + (15357535)/(25534197)*a^(9) + (32303126)/(25534197)*a^(8) - (1666019131)/(434081349)*a^(7) + (7063602041)/(1302244047)*a^(6) - (2124212620)/(434081349)*a^(5) + (4426537708)/(1302244047)*a^(4) - (27846064)/(11130291)*a^(3) + (346637422)/(144693783)*a^(2) - (41844076)/(16077087)*a + (1474738)/(1236699) , (30167360)/(1302244047)*a^(18) - (31363669)/(434081349)*a^(17) + (24064966)/(1302244047)*a^(16) + (124084066)/(434081349)*a^(15) - (122024392)/(434081349)*a^(14) - (96734486)/(434081349)*a^(13) - (1859474611)/(1302244047)*a^(12) + (1161346543)/(144693783)*a^(11) - (6965635406)/(1302244047)*a^(10) - (12267839923)/(434081349)*a^(9) + (29746652116)/(434081349)*a^(8) - (14844362749)/(434081349)*a^(7) - (107417673898)/(1302244047)*a^(6) + (64550291047)/(434081349)*a^(5) - (94024211630)/(1302244047)*a^(4) - (214282169)/(11130291)*a^(3) + (24170956)/(144693783)*a^(2) + (314037989)/(5359029)*a - (41025089)/(1236699) ], 191261859.157, []]