/* 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 + 12*x^16 - 23*x^15 + 23*x^14 - 6*x^13 - 48*x^12 + 98*x^11 - 67*x^10 + 110*x^8 - 114*x^7 - 130*x^6 + 74*x^5 + 121*x^4 + 25*x^3 - 23*x^2 - 11*x - 1, 18, 968, [6, 6], 7038753626787421437161, [167, 498761, 711353], [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, a^15, a^16, 1/7789069253239*a^17 - 1297982438441/7789069253239*a^16 + 2327626625610/7789069253239*a^15 - 3813884301729/7789069253239*a^14 + 2860425166744/7789069253239*a^13 + 2290461385230/7789069253239*a^12 - 3864103578635/7789069253239*a^11 - 3184949847745/7789069253239*a^10 + 1106766841925/7789069253239*a^9 - 2759535619792/7789069253239*a^8 + 1438603483515/7789069253239*a^7 - 1310421806047/7789069253239*a^6 - 2995855907586/7789069253239*a^5 + 2557090179256/7789069253239*a^4 - 746595549879/7789069253239*a^3 - 1032256687215/7789069253239*a^2 - 325570583681/7789069253239*a + 433193052963/7789069253239], 0, 1, [], 0, [ (6580026498149)/(7789069253239)*a^(17) - (30584246495013)/(7789069253239)*a^(16) + (99488274190730)/(7789069253239)*a^(15) - (218964852602922)/(7789069253239)*a^(14) + (303390908462739)/(7789069253239)*a^(13) - (257782791774318)/(7789069253239)*a^(12) - (120255035687119)/(7789069253239)*a^(11) + (701186343693094)/(7789069253239)*a^(10) - (915458702129774)/(7789069253239)*a^(9) + (671044756223273)/(7789069253239)*a^(8) + (196067563534998)/(7789069253239)*a^(7) - (816004342736801)/(7789069253239)*a^(6) - (287508348612820)/(7789069253239)*a^(5) + (575584799279181)/(7789069253239)*a^(4) + (397854820355295)/(7789069253239)*a^(3) - (51564671604345)/(7789069253239)*a^(2) - (81696085093428)/(7789069253239)*a - (13355456500736)/(7789069253239) , (75689138428848)/(7789069253239)*a^(17) - (346116711220941)/(7789069253239)*a^(16) + (1106887756377684)/(7789069253239)*a^(15) - (2376193766172802)/(7789069253239)*a^(14) + (3105773359529625)/(7789069253239)*a^(13) - (2239878755376482)/(7789069253239)*a^(12) - (2344312995337718)/(7789069253239)*a^(11) + (8760859282751842)/(7789069253239)*a^(10) - (10107183705945447)/(7789069253239)*a^(9) + (5818884930880326)/(7789069253239)*a^(8) + (4977575909057316)/(7789069253239)*a^(7) - (11487414581006600)/(7789069253239)*a^(6) - (3220013539174596)/(7789069253239)*a^(5) + (7416500621666029)/(7789069253239)*a^(4) + (4856959964260546)/(7789069253239)*a^(3) - (871215742389247)/(7789069253239)*a^(2) - (1202029921820077)/(7789069253239)*a - (136413346925779)/(7789069253239) , (6610551970411)/(7789069253239)*a^(17) - (32519734375118)/(7789069253239)*a^(16) + (107797825422364)/(7789069253239)*a^(15) - (244249513631207)/(7789069253239)*a^(14) + (353753568990393)/(7789069253239)*a^(13) - (313616538742017)/(7789069253239)*a^(12) - (102677374112436)/(7789069253239)*a^(11) + (806585597457636)/(7789069253239)*a^(10) - (1160346206320329)/(7789069253239)*a^(9) + (896966559657285)/(7789069253239)*a^(8) + (143415170142517)/(7789069253239)*a^(7) - (1067931472380703)/(7789069253239)*a^(6) + (86621906403004)/(7789069253239)*a^(5) + (631699916792684)/(7789069253239)*a^(4) + (210095588810371)/(7789069253239)*a^(3) - (155516188463458)/(7789069253239)*a^(2) - (53320784205443)/(7789069253239)*a + (13139470784811)/(7789069253239) , (31287671615514)/(7789069253239)*a^(17) - (139998269364135)/(7789069253239)*a^(16) + (441635956160062)/(7789069253239)*a^(15) - (927674314802797)/(7789069253239)*a^(14) + (1154304534204999)/(7789069253239)*a^(13) - (721194741869814)/(7789069253239)*a^(12) - (1184829468715049)/(7789069253239)*a^(11) + (3659379713772528)/(7789069253239)*a^(10) - (3849121484559014)/(7789069253239)*a^(9) + (1799641949262521)/(7789069253239)*a^(8) + (2661775953891915)/(7789069253239)*a^(7) - (4923332935172828)/(7789069253239)*a^(6) - (1676412410117169)/(7789069253239)*a^(5) + (3133265719203362)/(7789069253239)*a^(4) + (2262946493550975)/(7789069253239)*a^(3) - (296667666566925)/(7789069253239)*a^(2) - (575068324470380)/(7789069253239)*a - (73116779273745)/(7789069253239) , (2166460533140)/(7789069253239)*a^(17) - (6805723458333)/(7789069253239)*a^(16) + (15864023014031)/(7789069253239)*a^(15) - (14034445676991)/(7789069253239)*a^(14) - (38115158541586)/(7789069253239)*a^(13) + (133893707370655)/(7789069253239)*a^(12) - (271047053377325)/(7789069253239)*a^(11) + (271963399588458)/(7789069253239)*a^(10) + (51631206578768)/(7789069253239)*a^(9) - (436090971383837)/(7789069253239)*a^(8) + (725678780189709)/(7789069253239)*a^(7) - (461871772981332)/(7789069253239)*a^(6) - (475179002391606)/(7789069253239)*a^(5) + (301822768247016)/(7789069253239)*a^(4) + (366674421513656)/(7789069253239)*a^(3) + (37123751941898)/(7789069253239)*a^(2) - (89763335844721)/(7789069253239)*a - (16874547240556)/(7789069253239) , (13355456500736)/(7789069253239)*a^(17) - (60001852501093)/(7789069253239)*a^(16) + (190849724503845)/(7789069253239)*a^(15) - (406663773707658)/(7789069253239)*a^(14) + (526140352119850)/(7789069253239)*a^(13) - (383523647467155)/(7789069253239)*a^(12) - (383279120261010)/(7789069253239)*a^(11) + (1429089772759247)/(7789069253239)*a^(10) - (1596001929242406)/(7789069253239)*a^(9) + (915458702129774)/(7789069253239)*a^(8) + (798055458857687)/(7789069253239)*a^(7) - (1718589604618902)/(7789069253239)*a^(6) - (920205002358879)/(7789069253239)*a^(5) + (1275812129667284)/(7789069253239)*a^(4) + (1040425437309875)/(7789069253239)*a^(3) - (63968407836895)/(7789069253239)*a^(2) - (255610827912583)/(7789069253239)*a - (65213936414668)/(7789069253239) , (22585347660888)/(7789069253239)*a^(17) - (99439032249035)/(7789069253239)*a^(16) + (309595932920484)/(7789069253239)*a^(15) - (636756240267923)/(7789069253239)*a^(14) + (751230649777745)/(7789069253239)*a^(13) - (381402408555377)/(7789069253239)*a^(12) - (1014412766912887)/(7789069253239)*a^(11) + (2700158269407543)/(7789069253239)*a^(10) - (2588187760642730)/(7789069253239)*a^(9) + (868417741356547)/(7789069253239)*a^(8) + (2397180896832798)/(7789069253239)*a^(7) - (3755480160159048)/(7789069253239)*a^(6) - (1431422972164336)/(7789069253239)*a^(5) + (2466791367424857)/(7789069253239)*a^(4) + (1733424313537405)/(7789069253239)*a^(3) - (291809465442268)/(7789069253239)*a^(2) - (443107382516277)/(7789069253239)*a - (36117055798267)/(7789069253239) , (118830634251827)/(7789069253239)*a^(17) - (545483322721959)/(7789069253239)*a^(16) + (1747457031052431)/(7789069253239)*a^(15) - (3762143741358466)/(7789069253239)*a^(14) + (4945380033068646)/(7789069253239)*a^(13) - (3612798549439631)/(7789069253239)*a^(12) - (3599658762487008)/(7789069253239)*a^(11) + (13796939550962167)/(7789069253239)*a^(10) - (16099672430166397)/(7789069253239)*a^(9) + (9442759089423370)/(7789069253239)*a^(8) + (7588410298719348)/(7789069253239)*a^(7) - (18102811832709139)/(7789069253239)*a^(6) - (4767289882271662)/(7789069253239)*a^(5) + (11683292191895597)/(7789069253239)*a^(4) + (7478367525390057)/(7789069253239)*a^(3) - (1478229222296119)/(7789069253239)*a^(2) - (1885956324541029)/(7789069253239)*a - (194023433407645)/(7789069253239) , (4180617039420)/(7789069253239)*a^(17) - (21952956224497)/(7789069253239)*a^(16) + (75288424339846)/(7789069253239)*a^(15) - (178564207049536)/(7789069253239)*a^(14) + (280109274487629)/(7789069253239)*a^(13) - (284918899365501)/(7789069253239)*a^(12) + (21142417698349)/(7789069253239)*a^(11) + (508050648074500)/(7789069253239)*a^(10) - (893268782471575)/(7789069253239)*a^(9) + (832989717514610)/(7789069253239)*a^(8) - (148712151203116)/(7789069253239)*a^(7) - (643419026391221)/(7789069253239)*a^(6) + (246133541957278)/(7789069253239)*a^(5) + (370537818484628)/(7789069253239)*a^(4) - (6817206879480)/(7789069253239)*a^(3) - (129649037975941)/(7789069253239)*a^(2) + (8403956281000)/(7789069253239)*a + (21407406118249)/(7789069253239) , (51090484688020)/(7789069253239)*a^(17) - (237149982890510)/(7789069253239)*a^(16) + (763291907245326)/(7789069253239)*a^(15) - (1655569984977228)/(7789069253239)*a^(14) + (2207280992785210)/(7789069253239)*a^(13) - (1656773854294153)/(7789069253239)*a^(12) - (1478869109632470)/(7789069253239)*a^(11) + (6025550864328223)/(7789069253239)*a^(10) - (7235977331883466)/(7789069253239)*a^(9) + (4405053461313277)/(7789069253239)*a^(8) + (3088144351189489)/(7789069253239)*a^(7) - (7994708034631810)/(7789069253239)*a^(6) - (1623812077255587)/(7789069253239)*a^(5) + (5140404501777806)/(7789069253239)*a^(4) + (2931103164946277)/(7789069253239)*a^(3) - (806630473839543)/(7789069253239)*a^(2) - (756021283977209)/(7789069253239)*a - (37604698088456)/(7789069253239) , (4205737996612)/(7789069253239)*a^(17) - (19146484205818)/(7789069253239)*a^(16) + (61944535887959)/(7789069253239)*a^(15) - (135216833383411)/(7789069253239)*a^(14) + (185640735875665)/(7789069253239)*a^(13) - (159676663651394)/(7789069253239)*a^(12) - (67676983136623)/(7789069253239)*a^(11) + (408517447080715)/(7789069253239)*a^(10) - (522975350708829)/(7789069253239)*a^(9) + (396293138011273)/(7789069253239)*a^(8) + (86131684863717)/(7789069253239)*a^(7) - (399915138206536)/(7789069253239)*a^(6) - (304614456858497)/(7789069253239)*a^(5) + (332749613544109)/(7789069253239)*a^(4) + (361452573428026)/(7789069253239)*a^(3) - (49819399893812)/(7789069253239)*a^(2) - (64597066059163)/(7789069253239)*a - (4834514556225)/(7789069253239) ], 7259.79898445, [[x^9 - 2*x^8 + x^7 + 2*x^6 - 4*x^5 + x^4 + 2*x^3 - 3*x^2 + 1, 1]]]