/* 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 - 4*x^17 + 6*x^16 - 2*x^15 - 17*x^14 + 48*x^13 - 36*x^12 - 14*x^11 + 85*x^10 - 116*x^9 - 56*x^8 + 82*x^7 - 87*x^6 - 80*x^5 + 140*x^4 + 14*x^3 - 74*x^2 - 16*x + 2, 18, 396, [6, 6], 141062025047564619874304, [2, 11, 13], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^10 - 1/2*a^8 - 1/2*a^6, 1/2*a^13 - 1/2*a^11 - 1/2*a^9 - 1/2*a^7, 1/4*a^14 - 1/2*a^11 - 1/2*a^8 - 1/4*a^6 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2, 1/4*a^15 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/4*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a, 1/92*a^16 + 1/46*a^15 + 5/92*a^14 + 1/46*a^13 + 11/46*a^12 - 15/46*a^11 + 1/23*a^10 + 8/23*a^9 - 5/92*a^8 - 5/46*a^7 - 5/92*a^6 - 1/46*a^5 + 3/23*a^4 + 9/46*a^3 - 9/23*a - 7/46, 1/96619284212644*a^17 + 226884968579/48309642106322*a^16 + 9858033889831/96619284212644*a^15 + 5105130521369/96619284212644*a^14 + 1056879280034/24154821053161*a^13 + 76023704133/24154821053161*a^12 + 311351705888/24154821053161*a^11 - 11984930236071/48309642106322*a^10 - 41685438383139/96619284212644*a^9 + 3719326704415/48309642106322*a^8 + 17514042239359/96619284212644*a^7 + 35265537019537/96619284212644*a^6 + 9565901736701/24154821053161*a^5 + 205443657564/1050209611007*a^4 - 22281788137787/48309642106322*a^3 - 1705275799697/48309642106322*a^2 - 3681230870671/48309642106322*a - 19267268595613/48309642106322], 0, 1, [], 0, [ (3618571837543)/(48309642106322)*a^(17) - (15586587506543)/(48309642106322)*a^(16) + (13373534725436)/(24154821053161)*a^(15) - (32134162258319)/(96619284212644)*a^(14) - (55790301648043)/(48309642106322)*a^(13) + (4125816374110)/(1050209611007)*a^(12) - (94958371504245)/(24154821053161)*a^(11) + (5658697190626)/(24154821053161)*a^(10) + (152310169806769)/(24154821053161)*a^(9) - (251255593469401)/(24154821053161)*a^(8) - (52131102099657)/(48309642106322)*a^(7) + (650757938844831)/(96619284212644)*a^(6) - (226045588293786)/(24154821053161)*a^(5) - (208767687145875)/(48309642106322)*a^(4) + (551540663878635)/(48309642106322)*a^(3) - (199032702176111)/(48309642106322)*a^(2) - (119733531460575)/(24154821053161)*a + (50356525143795)/(48309642106322) , (2517050112527)/(96619284212644)*a^(17) - (8940256295427)/(96619284212644)*a^(16) + (4846478072971)/(48309642106322)*a^(15) + (4187826670655)/(48309642106322)*a^(14) - (31772503355887)/(48309642106322)*a^(13) + (62094456874745)/(48309642106322)*a^(12) - (14825299798871)/(48309642106322)*a^(11) - (42293107567079)/(24154821053161)*a^(10) + (388117788421113)/(96619284212644)*a^(9) - (327301330296139)/(96619284212644)*a^(8) - (93147316885540)/(24154821053161)*a^(7) + (242973481704131)/(48309642106322)*a^(6) - (123077574837033)/(24154821053161)*a^(5) - (174735636652173)/(48309642106322)*a^(4) + (290180838819051)/(48309642106322)*a^(3) + (28694085042955)/(48309642106322)*a^(2) - (69354337527953)/(24154821053161)*a - (5666772565890)/(24154821053161) , (3403182646795)/(48309642106322)*a^(17) - (7814335383113)/(24154821053161)*a^(16) + (29503468116523)/(48309642106322)*a^(15) - (12055173899693)/(24154821053161)*a^(14) - (42910369544373)/(48309642106322)*a^(13) + (94234961135795)/(24154821053161)*a^(12) - (10206186334491)/(2100419222014)*a^(11) + (45632530595154)/(24154821053161)*a^(10) + (115596964171210)/(24154821053161)*a^(9) - (270330168165009)/(24154821053161)*a^(8) + (70628908816467)/(24154821053161)*a^(7) + (109764025873272)/(24154821053161)*a^(6) - (216637456057649)/(24154821053161)*a^(5) + (8688553531908)/(24154821053161)*a^(4) + (256084354093009)/(24154821053161)*a^(3) - (172845875190097)/(24154821053161)*a^(2) - (44177185069225)/(24154821053161)*a + (11855264416229)/(24154821053161) , (4347549383745)/(48309642106322)*a^(17) - (36952020394125)/(96619284212644)*a^(16) + (60679094675261)/(96619284212644)*a^(15) - (7599958140880)/(24154821053161)*a^(14) - (35221610639975)/(24154821053161)*a^(13) + (223656009700635)/(48309642106322)*a^(12) - (8910470044713)/(2100419222014)*a^(11) - (19873299795429)/(48309642106322)*a^(10) + (368964974602105)/(48309642106322)*a^(9) - (1149776424203915)/(96619284212644)*a^(8) - (249607522114015)/(96619284212644)*a^(7) + (399481518704743)/(48309642106322)*a^(6) - (220289817123414)/(24154821053161)*a^(5) - (116444271730268)/(24154821053161)*a^(4) + (691547571297213)/(48309642106322)*a^(3) - (100379472833427)/(48309642106322)*a^(2) - (269966358497225)/(48309642106322)*a - (12294225657823)/(24154821053161) , (3613663106039)/(96619284212644)*a^(17) - (17771985292769)/(96619284212644)*a^(16) + (36037974295373)/(96619284212644)*a^(15) - (32306683883333)/(96619284212644)*a^(14) - (21888351011631)/(48309642106322)*a^(13) + (109428866399145)/(48309642106322)*a^(12) - (75290155951785)/(24154821053161)*a^(11) + (65814452576803)/(48309642106322)*a^(10) + (263226666308759)/(96619284212644)*a^(9) - (649316656753453)/(96619284212644)*a^(8) + (270522150505437)/(96619284212644)*a^(7) + (295148487866011)/(96619284212644)*a^(6) - (259466570826319)/(48309642106322)*a^(5) + (30166475619505)/(48309642106322)*a^(4) + (260391895963613)/(48309642106322)*a^(3) - (114107780971654)/(24154821053161)*a^(2) - (75517625639283)/(48309642106322)*a + (37620648459511)/(48309642106322) , (1831455891187)/(96619284212644)*a^(17) - (4408054775961)/(96619284212644)*a^(16) - (45178921137)/(4200838444028)*a^(15) + (3787662624819)/(24154821053161)*a^(14) - (9998132357037)/(24154821053161)*a^(13) + (10799119930465)/(24154821053161)*a^(12) + (18520155342724)/(24154821053161)*a^(11) - (36344121246784)/(24154821053161)*a^(10) + (146682629608149)/(96619284212644)*a^(9) - (14961031690633)/(96619284212644)*a^(8) - (435345725869777)/(96619284212644)*a^(7) + (7172508419685)/(24154821053161)*a^(6) + (13606408415561)/(48309642106322)*a^(5) - (77173016897604)/(24154821053161)*a^(4) + (33882691975543)/(24154821053161)*a^(3) + (252746496654261)/(48309642106322)*a^(2) - (45835298697079)/(48309642106322)*a - (30810073755027)/(24154821053161) , (4642002413987)/(48309642106322)*a^(17) - (42368479367901)/(96619284212644)*a^(16) + (79125666327223)/(96619284212644)*a^(15) - (60706433286921)/(96619284212644)*a^(14) - (32317659053630)/(24154821053161)*a^(13) + (263400143135505)/(48309642106322)*a^(12) - (158771837197896)/(24154821053161)*a^(11) + (103183891348241)/(48309642106322)*a^(10) + (364827518641809)/(48309642106322)*a^(9) - (1564932460903845)/(96619284212644)*a^(8) + (419821919208651)/(96619284212644)*a^(7) + (584332436751895)/(96619284212644)*a^(6) - (322405611363835)/(24154821053161)*a^(5) + (70335339426155)/(48309642106322)*a^(4) + (280884136125665)/(24154821053161)*a^(3) - (147554134858057)/(24154821053161)*a^(2) - (140866353863373)/(48309642106322)*a - (5882934288223)/(48309642106322) , (63911511504)/(24154821053161)*a^(17) + (85071530625)/(96619284212644)*a^(16) - (1406877020057)/(48309642106322)*a^(15) + (2531435510969)/(48309642106322)*a^(14) - (1750231089477)/(48309642106322)*a^(13) - (4296248414209)/(48309642106322)*a^(12) + (9595700643783)/(24154821053161)*a^(11) - (5717746322328)/(24154821053161)*a^(10) - (6633096540786)/(24154821053161)*a^(9) + (63825661712957)/(96619284212644)*a^(8) - (44631878341611)/(48309642106322)*a^(7) - (61415229814897)/(48309642106322)*a^(6) + (66410083620013)/(48309642106322)*a^(5) - (31897919492271)/(48309642106322)*a^(4) - (26029581960359)/(24154821053161)*a^(3) + (105718358477427)/(48309642106322)*a^(2) - (2392798026122)/(24154821053161)*a - (14856881628901)/(24154821053161) , (9176504826677)/(96619284212644)*a^(17) - (39129609362509)/(96619284212644)*a^(16) + (32905866054619)/(48309642106322)*a^(15) - (37030057981745)/(96619284212644)*a^(14) - (72102220397343)/(48309642106322)*a^(13) + (237497542880151)/(48309642106322)*a^(12) - (4952559837128)/(1050209611007)*a^(11) + (952344061631)/(24154821053161)*a^(10) + (763223511745071)/(96619284212644)*a^(9) - (1232565395514431)/(96619284212644)*a^(8) - (51930389682279)/(24154821053161)*a^(7) + (767929584880641)/(96619284212644)*a^(6) - (248879257969195)/(24154821053161)*a^(5) - (131608571823296)/(24154821053161)*a^(4) + (345888887502529)/(24154821053161)*a^(3) - (51040069242631)/(24154821053161)*a^(2) - (148430309809334)/(24154821053161)*a - (4146899793767)/(48309642106322) , (4848572313203)/(48309642106322)*a^(17) - (20493618859683)/(48309642106322)*a^(16) + (17110202567525)/(24154821053161)*a^(15) - (39858674955735)/(96619284212644)*a^(14) - (71985390912273)/(48309642106322)*a^(13) + (121172724375603)/(24154821053161)*a^(12) - (117679624341574)/(24154821053161)*a^(11) + (9797935911563)/(24154821053161)*a^(10) + (177999917086232)/(24154821053161)*a^(9) - (304827352103083)/(24154821053161)*a^(8) - (84828639813753)/(48309642106322)*a^(7) + (613678357451547)/(96619284212644)*a^(6) - (227252584985098)/(24154821053161)*a^(5) - (266482022432331)/(48309642106322)*a^(4) + (618852200288035)/(48309642106322)*a^(3) - (97946319431099)/(48309642106322)*a^(2) - (134739101995800)/(24154821053161)*a - (63944488117689)/(48309642106322) , (1811517171837)/(24154821053161)*a^(17) - (8933243025821)/(24154821053161)*a^(16) + (37013366954695)/(48309642106322)*a^(15) - (70954085826747)/(96619284212644)*a^(14) - (19569919738038)/(24154821053161)*a^(13) + (108140635934681)/(24154821053161)*a^(12) - (312145225713919)/(48309642106322)*a^(11) + (84505931534103)/(24154821053161)*a^(10) + (112499630755334)/(24154821053161)*a^(9) - (631815504459643)/(48309642106322)*a^(8) + (299524373272141)/(48309642106322)*a^(7) + (366791190899635)/(96619284212644)*a^(6) - (245074322389717)/(24154821053161)*a^(5) + (51789365585191)/(48309642106322)*a^(4) + (505672862056133)/(48309642106322)*a^(3) - (386383881375669)/(48309642106322)*a^(2) - (41129276204503)/(24154821053161)*a + (2085137780915)/(48309642106322) ], 93137.3629249, [[x^3 - x - 2, 1], [x^6 - 2*x^5 + 4*x^4 - 8*x^3 + 4*x^2 - 2*x + 1, 1], [x^9 - 3*x^8 + 10*x^6 - 14*x^5 + 12*x^4 - 18*x^3 + 8*x^2 + 7*x + 1, 1]]]