/* 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^18 + x^16 - 2*x^15 - 5*x^14 - 3*x^13 - 20*x^12 - 38*x^11 + 15*x^10 + 49*x^9 + 33*x^8 + 87*x^7 + 61*x^6 - x^5 + 25*x^4 + 14*x^3 - 12*x^2 - 7*x - 1, 18, 662, [6, 6], 29952326871260677511424, [2, 3, 113, 127, 607], [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, 1/3*a^15 - 1/3*a^14 - 1/3*a^13 - 1/3*a^10 - 1/3*a^9 - 1/3*a^8 - 1/3*a^5 + 1/3*a^4 + 1/3*a^2 + 1/3*a + 1/3, 1/3*a^16 + 1/3*a^14 - 1/3*a^13 - 1/3*a^11 + 1/3*a^10 + 1/3*a^9 - 1/3*a^8 - 1/3*a^6 + 1/3*a^4 + 1/3*a^3 - 1/3*a^2 - 1/3*a + 1/3, 1/135907351235157*a^17 + 4245397936149/45302450411719*a^16 + 14689901966912/135907351235157*a^15 - 19394648332136/135907351235157*a^14 - 52194416410627/135907351235157*a^13 - 63361828068586/135907351235157*a^12 - 37280286840848/135907351235157*a^11 - 18232411062188/45302450411719*a^10 + 38139048312601/135907351235157*a^9 + 27521160789317/135907351235157*a^8 + 29584710619361/135907351235157*a^7 + 17183814397144/45302450411719*a^6 + 461145029909/45302450411719*a^5 + 22253652827558/135907351235157*a^4 + 11376192616145/135907351235157*a^3 + 1795213462728/45302450411719*a^2 + 20753183323988/135907351235157*a + 2510543973370/135907351235157], 0, 1, [], 1, [ (200095089972233)/(135907351235157)*a^(17) - (10036022492494)/(45302450411719)*a^(16) + (195088797054080)/(135907351235157)*a^(15) - (418295560184639)/(135907351235157)*a^(14) - (318444586970141)/(45302450411719)*a^(13) - (420234373102790)/(135907351235157)*a^(12) - (3926315042688211)/(135907351235157)*a^(11) - (7014967925644744)/(135907351235157)*a^(10) + (4237837947205651)/(135907351235157)*a^(9) + (3104208689566957)/(45302450411719)*a^(8) + (4797609337649740)/(135907351235157)*a^(7) + (5526027960527166)/(45302450411719)*a^(6) + (9687197265577145)/(135907351235157)*a^(5) - (2333421826925980)/(135907351235157)*a^(4) + (5598987096144415)/(135907351235157)*a^(3) + (1950641111518918)/(135907351235157)*a^(2) - (3002817548335105)/(135907351235157)*a - (253697476597384)/(45302450411719) , (12244685940779)/(135907351235157)*a^(17) - (15621742316854)/(135907351235157)*a^(16) + (12157256954476)/(135907351235157)*a^(15) - (39802632754073)/(135907351235157)*a^(14) - (35910492798943)/(135907351235157)*a^(13) + (52097338309957)/(135907351235157)*a^(12) - (71046443312866)/(45302450411719)*a^(11) - (123374681095291)/(135907351235157)*a^(10) + (766712294835862)/(135907351235157)*a^(9) + (364454781348794)/(135907351235157)*a^(8) - (281647820411996)/(135907351235157)*a^(7) + (589492120777375)/(135907351235157)*a^(6) - (300844299306922)/(45302450411719)*a^(5) - (298064190899871)/(45302450411719)*a^(4) + (124438522127548)/(45302450411719)*a^(3) - (430718603159279)/(135907351235157)*a^(2) - (81293867903311)/(135907351235157)*a + (81646283580910)/(135907351235157) , (68517626836343)/(135907351235157)*a^(17) - (57523905039988)/(135907351235157)*a^(16) + (100999587840100)/(135907351235157)*a^(15) - (213186642828011)/(135907351235157)*a^(14) - (182287363021036)/(135907351235157)*a^(13) - (11861020099505)/(135907351235157)*a^(12) - (434205224699698)/(45302450411719)*a^(11) - (1501480000683088)/(135907351235157)*a^(10) + (2593763192142466)/(135907351235157)*a^(9) + (1615134742510445)/(135907351235157)*a^(8) + (413178771963703)/(135907351235157)*a^(7) + (5075116576642597)/(135907351235157)*a^(6) - (73060410670138)/(45302450411719)*a^(5) - (351697032232219)/(45302450411719)*a^(4) + (768422330105433)/(45302450411719)*a^(3) - (846908008373381)/(135907351235157)*a^(2) - (831867256396765)/(135907351235157)*a + (43869828387991)/(135907351235157) , (14811626979939)/(45302450411719)*a^(17) - (15759702517250)/(135907351235157)*a^(16) + (17574552701332)/(45302450411719)*a^(15) - (110505015839174)/(135907351235157)*a^(14) - (173133665265946)/(135907351235157)*a^(13) - (28124470575762)/(45302450411719)*a^(12) - (858465211114066)/(135907351235157)*a^(11) - (1397789469228308)/(135907351235157)*a^(10) + (1091477538695014)/(135907351235157)*a^(9) + (1743128839744970)/(135907351235157)*a^(8) + (289087494659926)/(45302450411719)*a^(7) + (3461939597524076)/(135907351235157)*a^(6) + (557950993564704)/(45302450411719)*a^(5) - (202022368681871)/(135907351235157)*a^(4) + (1216193034785119)/(135907351235157)*a^(3) + (477071429314526)/(135907351235157)*a^(2) - (570913347231637)/(135907351235157)*a - (199028013409142)/(135907351235157) , a , (47828371578641)/(135907351235157)*a^(17) - (13592463532076)/(135907351235157)*a^(16) + (47703185318503)/(135907351235157)*a^(15) - (34585859096988)/(45302450411719)*a^(14) - (72940940962436)/(45302450411719)*a^(13) - (59099237704994)/(135907351235157)*a^(12) - (944553752464943)/(135907351235157)*a^(11) - (1536391086292505)/(135907351235157)*a^(10) + (402886911006034)/(45302450411719)*a^(9) + (683717659624072)/(45302450411719)*a^(8) + (815439206166532)/(135907351235157)*a^(7) + (3860741419773563)/(135907351235157)*a^(6) + (567686418968796)/(45302450411719)*a^(5) - (666561032444113)/(135907351235157)*a^(4) + (1579587003071021)/(135907351235157)*a^(3) + (210013883451419)/(135907351235157)*a^(2) - (206407426340462)/(45302450411719)*a - (79481264132575)/(45302450411719) , (22739477121654)/(45302450411719)*a^(17) - (53261773217174)/(135907351235157)*a^(16) + (121462823070412)/(135907351235157)*a^(15) - (78590276697300)/(45302450411719)*a^(14) - (137941298446052)/(135907351235157)*a^(13) - (42852375669434)/(45302450411719)*a^(12) - (1301401124605345)/(135907351235157)*a^(11) - (537477432966481)/(45302450411719)*a^(10) + (679833607180047)/(45302450411719)*a^(9) + (1377748869594868)/(135907351235157)*a^(8) + (458103543908407)/(45302450411719)*a^(7) + (5166751156961378)/(135907351235157)*a^(6) + (470475182753378)/(135907351235157)*a^(5) + (661275907598150)/(135907351235157)*a^(4) + (1776632820233257)/(135907351235157)*a^(3) - (47569353870874)/(45302450411719)*a^(2) - (88920220517919)/(45302450411719)*a - (129190339516333)/(135907351235157) , (35440223351698)/(135907351235157)*a^(17) - (6670570207419)/(45302450411719)*a^(16) + (15478102745793)/(45302450411719)*a^(15) - (34380130253936)/(45302450411719)*a^(14) - (115367549908547)/(135907351235157)*a^(13) - (52003813868782)/(135907351235157)*a^(12) - (657626585036243)/(135907351235157)*a^(11) - (965141600018203)/(135907351235157)*a^(10) + (366099202885259)/(45302450411719)*a^(9) + (1242180807427927)/(135907351235157)*a^(8) + (633302246974010)/(135907351235157)*a^(7) + (861544770855263)/(45302450411719)*a^(6) + (607732278342356)/(135907351235157)*a^(5) - (172346390340065)/(45302450411719)*a^(4) + (812216616104129)/(135907351235157)*a^(3) - (35814495986321)/(135907351235157)*a^(2) - (229623420582486)/(45302450411719)*a - (185031109628842)/(135907351235157) , (69539541471577)/(135907351235157)*a^(17) - (28761660159895)/(135907351235157)*a^(16) + (83688683026322)/(135907351235157)*a^(15) - (55071634231756)/(45302450411719)*a^(14) - (93569549494129)/(45302450411719)*a^(13) - (86039124155476)/(135907351235157)*a^(12) - (1393887319598056)/(135907351235157)*a^(11) - (2100198148753921)/(135907351235157)*a^(10) + (614485727369299)/(45302450411719)*a^(9) + (804515853447387)/(45302450411719)*a^(8) + (1091241551160800)/(135907351235157)*a^(7) + (5930799396246559)/(135907351235157)*a^(6) + (753725668675369)/(45302450411719)*a^(5) - (526358452265141)/(135907351235157)*a^(4) + (2610171798554986)/(135907351235157)*a^(3) - (11693010765473)/(135907351235157)*a^(2) - (352928151837470)/(45302450411719)*a - (23520246545823)/(45302450411719) , (42711716923297)/(135907351235157)*a^(17) - (8128502877502)/(45302450411719)*a^(16) + (60104787794683)/(135907351235157)*a^(15) - (111983876730322)/(135907351235157)*a^(14) - (50806086985758)/(45302450411719)*a^(13) - (33971581386436)/(135907351235157)*a^(12) - (878791652193854)/(135907351235157)*a^(11) - (1143486867526979)/(135907351235157)*a^(10) + (1209699518601293)/(135907351235157)*a^(9) + (376022427303753)/(45302450411719)*a^(8) + (627611619403766)/(135907351235157)*a^(7) + (1253438505865726)/(45302450411719)*a^(6) + (694287298915684)/(135907351235157)*a^(5) - (44497105095404)/(135907351235157)*a^(4) + (1776245898291800)/(135907351235157)*a^(3) - (298448523322762)/(135907351235157)*a^(2) - (127228008526313)/(135907351235157)*a + (44792288109734)/(45302450411719) , (151667053752407)/(135907351235157)*a^(17) - (2762925721393)/(45302450411719)*a^(16) + (157542605194697)/(135907351235157)*a^(15) - (320855441903453)/(135907351235157)*a^(14) - (242822662422650)/(45302450411719)*a^(13) - (437954461387745)/(135907351235157)*a^(12) - (3008883031187878)/(135907351235157)*a^(11) - (5589433671533725)/(135907351235157)*a^(10) + (2472790594833418)/(135907351235157)*a^(9) + (2419516265852292)/(45302450411719)*a^(8) + (4888837635000184)/(135907351235157)*a^(7) + (4286871438031128)/(45302450411719)*a^(6) + (8447935913086631)/(135907351235157)*a^(5) - (241228362524851)/(135907351235157)*a^(4) + (3542700684721837)/(135907351235157)*a^(3) + (1940397693246031)/(135907351235157)*a^(2) - (1742904367991461)/(135907351235157)*a - (377231230273691)/(45302450411719) ], 17082.1882208, [[x^3 - x^2 - x + 4, 1], [x^9 - 4*x^8 + 5*x^7 - 6*x^5 + 7*x^4 - x^3 - 3*x^2 + x - 1, 1]]]