/* 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 - 12*x^15 + 36*x^14 - 33*x^12 + 117*x^11 - 171*x^10 - 2*x^9 + 135*x^8 - 81*x^7 - 30*x^6 + 36*x^5 + 81*x^4 - 393*x^3 + 531*x^2 - 270*x + 44, 18, 49, [6, 6], 36644198070556426025390625, [3, 5], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^7 - 1/2*a^6 - 1/2*a^3 - 1/2*a, 1/2*a^12 - 1/2*a^9 - 1/2*a^8 - 1/2*a^6 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^13 - 1/2*a^10 - 1/2*a^9 - 1/2*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/4*a^14 - 1/4*a^12 + 1/4*a^7 + 1/4*a^6 + 1/4*a^5 - 1/2*a^4 + 1/4*a^3 - 1/4*a^2 - 1/2*a, 1/4*a^15 - 1/4*a^13 + 1/4*a^8 + 1/4*a^7 + 1/4*a^6 - 1/2*a^5 + 1/4*a^4 - 1/4*a^3 - 1/2*a^2, 1/952*a^16 + 9/952*a^15 + 19/238*a^14 + 151/952*a^13 + 9/136*a^12 - 47/238*a^11 - 1/7*a^10 + 309/952*a^9 + 31/68*a^8 + 65/136*a^7 - 40/119*a^6 - 167/476*a^4 + 181/476*a^3 + 249/952*a^2 - 219/476*a - 93/238, 1/315357351837879512*a^17 - 105841414556345/315357351837879512*a^16 - 4639068746665219/78839337959469878*a^15 + 4979805991466829/315357351837879512*a^14 - 31762298562685177/315357351837879512*a^13 - 17886798747960595/78839337959469878*a^12 + 5997389967884136/39419668979734939*a^11 + 84066999796728869/315357351837879512*a^10 - 38183714297897625/78839337959469878*a^9 + 15181270189932287/45051050262554216*a^8 + 42480026599405025/157678675918939756*a^7 - 24437976802007731/78839337959469878*a^6 + 29082948056956903/78839337959469878*a^5 - 16285726830654523/39419668979734939*a^4 + 117367378260198709/315357351837879512*a^3 + 68627228707907509/157678675918939756*a^2 + 6889145225883994/39419668979734939*a + 14963554837019692/39419668979734939], 0, 1, [], 1, [ (641937521115)/(10860908935042)*a^(17) + (79116760827)/(5430454467521)*a^(16) + (26764657449)/(5430454467521)*a^(15) - (3931760030940)/(5430454467521)*a^(14) + (10570081998636)/(5430454467521)*a^(13) + (2349750710280)/(5430454467521)*a^(12) - (17287431279039)/(10860908935042)*a^(11) + (64571716853325)/(10860908935042)*a^(10) - (91019866630781)/(10860908935042)*a^(9) - (15425530973811)/(5430454467521)*a^(8) + (67883497525053)/(10860908935042)*a^(7) - (18927509618457)/(10860908935042)*a^(6) - (17173191890457)/(5430454467521)*a^(5) + (16438189858146)/(5430454467521)*a^(4) + (41382068045949)/(10860908935042)*a^(3) - (216890839459953)/(10860908935042)*a^(2) + (250464765196773)/(10860908935042)*a - (33149262805525)/(5430454467521) , (190182269157885)/(9275216230525868)*a^(17) + (3931226585490975)/(157678675918939756)*a^(16) + (5245422671339107)/(157678675918939756)*a^(15) - (9260738054362303)/(39419668979734939)*a^(14) + (18721327803863529)/(39419668979734939)*a^(13) + (76432503818557367)/(157678675918939756)*a^(12) + (32799445511026287)/(78839337959469878)*a^(11) + (13839275393678615)/(9275216230525868)*a^(10) - (6663230830184401)/(39419668979734939)*a^(9) - (19439130475798813)/(11262762565638554)*a^(8) - (85066943728087435)/(78839337959469878)*a^(7) + (119795618538553109)/(78839337959469878)*a^(6) - (28145815677761543)/(9275216230525868)*a^(5) + (7883696148434317)/(22525525131277108)*a^(4) - (63485485720823807)/(157678675918939756)*a^(3) - (54957373298086851)/(22525525131277108)*a^(2) - (228044531861092319)/(78839337959469878)*a + (99773293598061542)/(39419668979734939) , (21082290860664945)/(315357351837879512)*a^(17) + (15654198111420527)/(315357351837879512)*a^(16) + (3279444034408253)/(78839337959469878)*a^(15) - (243727110224528283)/(315357351837879512)*a^(14) + (578373126514898423)/(315357351837879512)*a^(13) + (51080731569277482)/(39419668979734939)*a^(12) - (82996074403825629)/(78839337959469878)*a^(11) + (2193318363909581129)/(315357351837879512)*a^(10) - (29056880150961595)/(4637608115262934)*a^(9) - (205477506371340749)/(45051050262554216)*a^(8) + (773863529534987075)/(157678675918939756)*a^(7) - (135899152625974771)/(78839337959469878)*a^(6) - (277605726542840233)/(78839337959469878)*a^(5) + (24858561850243535)/(78839337959469878)*a^(4) + (227354605091277675)/(45051050262554216)*a^(3) - (3423957888311605277)/(157678675918939756)*a^(2) + (741418859320251619)/(39419668979734939)*a - (180890854810520474)/(39419668979734939) , (21082290860664945)/(315357351837879512)*a^(17) + (15654198111420527)/(315357351837879512)*a^(16) + (3279444034408253)/(78839337959469878)*a^(15) - (243727110224528283)/(315357351837879512)*a^(14) + (578373126514898423)/(315357351837879512)*a^(13) + (51080731569277482)/(39419668979734939)*a^(12) - (82996074403825629)/(78839337959469878)*a^(11) + (2193318363909581129)/(315357351837879512)*a^(10) - (29056880150961595)/(4637608115262934)*a^(9) - (205477506371340749)/(45051050262554216)*a^(8) + (773863529534987075)/(157678675918939756)*a^(7) - (135899152625974771)/(78839337959469878)*a^(6) - (277605726542840233)/(78839337959469878)*a^(5) + (24858561850243535)/(78839337959469878)*a^(4) + (227354605091277675)/(45051050262554216)*a^(3) - (3423957888311605277)/(157678675918939756)*a^(2) + (741418859320251619)/(39419668979734939)*a - (141471185830785535)/(39419668979734939) , (312641150013499)/(9275216230525868)*a^(17) + (14696835158667497)/(315357351837879512)*a^(16) + (14847658599584875)/(315357351837879512)*a^(15) - (14787374806772250)/(39419668979734939)*a^(14) + (217851059326881551)/(315357351837879512)*a^(13) + (355662944368808147)/(315357351837879512)*a^(12) + (21772854194953053)/(78839337959469878)*a^(11) + (28142690918694683)/(9275216230525868)*a^(10) - (209029725875123117)/(315357351837879512)*a^(9) - (19840700671132674)/(5631381282819277)*a^(8) + (82016504439757239)/(315357351837879512)*a^(7) + (278822466220871777)/(157678675918939756)*a^(6) - (16045054389401725)/(9275216230525868)*a^(5) + (6389311319344677)/(22525525131277108)*a^(4) + (235505891007349803)/(157678675918939756)*a^(3) - (354166401230716309)/(45051050262554216)*a^(2) + (108497021275510029)/(157678675918939756)*a + (360636503423527315)/(78839337959469878) , (1273142373451021)/(315357351837879512)*a^(17) - (1154831777586577)/(157678675918939756)*a^(16) - (5259233553097283)/(315357351837879512)*a^(15) - (22212061712938249)/(315357351837879512)*a^(14) + (33585408893670829)/(157678675918939756)*a^(13) - (23371679965700497)/(315357351837879512)*a^(12) - (18714694711978831)/(39419668979734939)*a^(11) + (44504732046341869)/(315357351837879512)*a^(10) - (508783595709450849)/(315357351837879512)*a^(9) - (14349384059947793)/(45051050262554216)*a^(8) + (508748347805206123)/(315357351837879512)*a^(7) - (9827633747062349)/(39419668979734939)*a^(6) + (45504820112974169)/(157678675918939756)*a^(5) + (950116934760115)/(5631381282819277)*a^(4) - (457912834844248337)/(315357351837879512)*a^(3) + (5480616768974865)/(45051050262554216)*a^(2) + (625170673466812343)/(157678675918939756)*a - (81054171241719913)/(78839337959469878) , (41063377450430563)/(315357351837879512)*a^(17) + (25880185486447533)/(315357351837879512)*a^(16) + (770774712031579)/(11262762565638554)*a^(15) - (67801478800042489)/(45051050262554216)*a^(14) + (1184206915006038869)/(315357351837879512)*a^(13) + (340711817207309767)/(157678675918939756)*a^(12) - (197845301463102803)/(78839337959469878)*a^(11) + (4399858661664885963)/(315357351837879512)*a^(10) - (1054735498446391065)/(78839337959469878)*a^(9) - (333203510419213487)/(45051050262554216)*a^(8) + (53333087439727735)/(4637608115262934)*a^(7) - (769874117161744145)/(157678675918939756)*a^(6) - (1161590316637042253)/(157678675918939756)*a^(5) + (19693875373841385)/(39419668979734939)*a^(4) + (3300099431162922561)/(315357351837879512)*a^(3) - (1687101856894435801)/(39419668979734939)*a^(2) + (3358146779195362109)/(78839337959469878)*a - (449894818114240613)/(39419668979734939) , (2727955197524651)/(157678675918939756)*a^(17) - (5171530473066115)/(157678675918939756)*a^(16) + (598508537524152)/(39419668979734939)*a^(15) - (41424769177104655)/(157678675918939756)*a^(14) + (168522186155134009)/(157678675918939756)*a^(13) - (115291221330718631)/(78839337959469878)*a^(12) + (59164154746265647)/(78839337959469878)*a^(11) + (46830307819293045)/(157678675918939756)*a^(10) - (313057812787514835)/(78839337959469878)*a^(9) + (86477146678610093)/(22525525131277108)*a^(8) - (109213990047252395)/(78839337959469878)*a^(7) + (84107910947392985)/(39419668979734939)*a^(6) - (421105332180068925)/(78839337959469878)*a^(5) + (300299823305349809)/(39419668979734939)*a^(4) - (1329793095221187453)/(157678675918939756)*a^(3) + (226022925395080486)/(39419668979734939)*a^(2) + (187773317716480287)/(78839337959469878)*a - (56640999586330398)/(39419668979734939) , (10512729610451787)/(78839337959469878)*a^(17) + (25251652146215931)/(315357351837879512)*a^(16) + (25480406327538787)/(315357351837879512)*a^(15) - (123518537030005273)/(78839337959469878)*a^(14) + (1235311886927899825)/(315357351837879512)*a^(13) + (604805671918250025)/(315357351837879512)*a^(12) - (10084886471769607)/(5631381282819277)*a^(11) + (519386629953806294)/(39419668979734939)*a^(10) - (4165920665042136213)/(315357351837879512)*a^(9) - (153242034439322729)/(22525525131277108)*a^(8) + (3142058038206234117)/(315357351837879512)*a^(7) - (39627151718705837)/(39419668979734939)*a^(6) - (631448991263528449)/(78839337959469878)*a^(5) + (566527220422739511)/(157678675918939756)*a^(4) + (934575270469282429)/(157678675918939756)*a^(3) - (12216625372182464185)/(315357351837879512)*a^(2) + (5734019777951044555)/(157678675918939756)*a - (616678269894146293)/(78839337959469878) , (24673154314245449)/(315357351837879512)*a^(17) + (20213395159208665)/(315357351837879512)*a^(16) + (6673156986984137)/(157678675918939756)*a^(15) - (283697769058400885)/(315357351837879512)*a^(14) + (648448082446065229)/(315357351837879512)*a^(13) + (143372573463276671)/(78839337959469878)*a^(12) - (60508095146077736)/(39419668979734939)*a^(11) + (2646705230028097305)/(315357351837879512)*a^(10) - (1136948614728013571)/(157678675918939756)*a^(9) - (300711372178419433)/(45051050262554216)*a^(8) + (1050115136912044355)/(157678675918939756)*a^(7) - (313580274430927261)/(157678675918939756)*a^(6) - (394908989987005993)/(157678675918939756)*a^(5) - (1010218006214065)/(5631381282819277)*a^(4) + (2400687575168231863)/(315357351837879512)*a^(3) - (632195245096868885)/(22525525131277108)*a^(2) + (924955691705493269)/(39419668979734939)*a - (138811249538283019)/(39419668979734939) , (3573472167469874)/(39419668979734939)*a^(17) + (353064137604767)/(9275216230525868)*a^(16) + (1756312108771383)/(78839337959469878)*a^(15) - (42296233560321178)/(39419668979734939)*a^(14) + (222089333221479629)/(78839337959469878)*a^(13) + (173421515002117199)/(157678675918939756)*a^(12) - (93111226070961894)/(39419668979734939)*a^(11) + (384200561973929067)/(39419668979734939)*a^(10) - (1791246568139792591)/(157678675918939756)*a^(9) - (6336860053919407)/(1325030890075124)*a^(8) + (400694780319744760)/(39419668979734939)*a^(7) - (661604835862012403)/(157678675918939756)*a^(6) - (336437713169672675)/(78839337959469878)*a^(5) + (416575859814054547)/(157678675918939756)*a^(4) + (8518518619217527)/(1325030890075124)*a^(3) - (4812771084293678321)/(157678675918939756)*a^(2) + (76688410688082885)/(2318804057631467)*a - (378418078081053027)/(39419668979734939) ], 1783677.91642, [[x^2 - x - 1, 1], [x^6 - 6*x^4 - x^3 + 9*x^2 + 3*x - 11, 1]]]