/* 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 - 131*x^16 - 172*x^15 + 7028*x^14 + 18636*x^13 - 185680*x^12 - 792908*x^11 + 2039902*x^10 + 16130092*x^9 + 7737010*x^8 - 141852516*x^7 - 361190300*x^6 + 92662532*x^5 + 1932933080*x^4 + 3989871708*x^3 + 3965722697*x^2 + 1987694596*x + 394525193, 18, 807, [12, 3], -431144884247498060798327803279650586624, [2, 7, 43, 4129, 242689], [1, a, a^2, 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^4 - 1/2, 1/2*a^5 - 1/2*a, 1/4*a^6 - 1/4*a^4 - 1/4*a^2 + 1/4, 1/4*a^7 - 1/4*a^5 - 1/4*a^3 + 1/4*a, 1/4*a^8 - 1/4, 1/8*a^9 - 1/8*a^8 - 1/4*a^5 - 1/4*a^4 + 1/8*a + 3/8, 1/8*a^10 - 1/8*a^8 - 1/8*a^2 + 1/8, 1/8*a^11 - 1/8*a^8 - 1/4*a^5 - 1/4*a^4 - 1/8*a^3 + 1/4*a + 3/8, 1/16*a^12 + 1/16*a^8 + 3/16*a^4 - 5/16, 1/16*a^13 - 1/16*a^9 - 1/8*a^8 - 1/16*a^5 - 1/4*a^4 + 1/16*a + 3/8, 1/16*a^14 - 1/16*a^10 - 1/8*a^8 - 1/16*a^6 - 1/4*a^4 + 1/16*a^2 + 3/8, 1/32*a^15 - 1/32*a^14 - 1/32*a^13 - 1/32*a^12 + 1/32*a^11 - 1/32*a^10 - 1/32*a^9 - 1/32*a^8 + 3/32*a^7 - 3/32*a^6 - 3/32*a^5 - 3/32*a^4 - 5/32*a^3 + 5/32*a^2 + 5/32*a + 5/32, 1/32*a^16 + 1/16*a^8 - 1/4*a^4 + 5/32, 1/32468841745131076734440171666083045331104*a^17 - 216951110208174424063497197090417096249/16234420872565538367220085833041522665552*a^16 - 8515527875719575284407489004074019440/1014651304535346147951255364565095166597*a^15 + 53147216360250546911555713654381765179/4058605218141384591805021458260380666388*a^14 - 313851163073024974926917475631808063095/16234420872565538367220085833041522665552*a^13 - 5616698921245927613414450985806749799/377544671455012520167908972861430759664*a^12 - 368803495052290865845073812902885185421/8117210436282769183610042916520761332776*a^11 - 34609408994217432299349284296051944970/1014651304535346147951255364565095166597*a^10 - 10967015612073963358020665020243035757/312200401395491122446540112173875435876*a^9 + 841359353862444157528637313422433512845/16234420872565538367220085833041522665552*a^8 + 106132395227759962778561213038829555590/1014651304535346147951255364565095166597*a^7 - 66834648540541837777774852665384540369/2029302609070692295902510729130190333194*a^6 + 74088881411431915804158550209258131605/377544671455012520167908972861430759664*a^5 - 3996049204247656365055620479556485716611/16234420872565538367220085833041522665552*a^4 + 1910712476845765851779823171157831157585/8117210436282769183610042916520761332776*a^3 + 1410779068309237296185956882142255779953/4058605218141384591805021458260380666388*a^2 - 2819169503956938204361385070143858318345/32468841745131076734440171666083045331104*a + 113922253658405752884815828270876869477/4058605218141384591805021458260380666388], 0, 3, [3], 1, [ (13154619284154064554011568622628939)/(8117210436282769183610042916520761332776)*a^(17) - (58404246403970513406692118108678037)/(32468841745131076734440171666083045331104)*a^(16) - (1732213318145483936471471926566799023)/(8117210436282769183610042916520761332776)*a^(15) - (208081847532688667222044367429268643)/(8117210436282769183610042916520761332776)*a^(14) + (190742040404786239384124507304953520481)/(16234420872565538367220085833041522665552)*a^(13) + (2989968672011626052442205063019287995)/(188772335727506260083954486430715379832)*a^(12) - (2714520807545509307416022015018614432797)/(8117210436282769183610042916520761332776)*a^(11) - (7115936277769423566087768079905399293421)/(8117210436282769183610042916520761332776)*a^(10) + (5891661840136072294975772659429809533625)/(1248801605581964489786160448695501743504)*a^(9) + (334911413506642150409191094784365477250953)/(16234420872565538367220085833041522665552)*a^(8) - (140823482489117014658782396271736525786629)/(8117210436282769183610042916520761332776)*a^(7) - (1760610063903395672670469419955843471456257)/(8117210436282769183610042916520761332776)*a^(6) - (109405503626494762005853384230800060220231)/(377544671455012520167908972861430759664)*a^(5) + (4899264300858183873650465256346644673896573)/(8117210436282769183610042916520761332776)*a^(4) + (19388064576644720062148535023345727913213897)/(8117210436282769183610042916520761332776)*a^(3) + (25583426403993441414041234200030519833274945)/(8117210436282769183610042916520761332776)*a^(2) + (31120494122665241628831971465762033515730193)/(16234420872565538367220085833041522665552)*a + (14226342056995340395635475181657608087253931)/(32468841745131076734440171666083045331104) , (4508444232228724224098978433946087)/(2029302609070692295902510729130190333194)*a^(17) - (13602346474391405563925635426087561)/(4058605218141384591805021458260380666388)*a^(16) - (2317308399856458047381877660909878789)/(8117210436282769183610042916520761332776)*a^(15) + (688337019230660316226046806897088441)/(16234420872565538367220085833041522665552)*a^(14) + (251724704432372260384542148871260321567)/(16234420872565538367220085833041522665552)*a^(13) + (7014697777676695350196200712674635505)/(377544671455012520167908972861430759664)*a^(12) - (1779221423597569345829128304006946344397)/(4058605218141384591805021458260380666388)*a^(11) - (18199460467473896659394353518140284383485)/(16234420872565538367220085833041522665552)*a^(10) + (7675114240242037335184958349022047057549)/(1248801605581964489786160448695501743504)*a^(9) + (436940733532756957963363381263845135891665)/(16234420872565538367220085833041522665552)*a^(8) - (176026900596746265344000145749157226065491)/(8117210436282769183610042916520761332776)*a^(7) - (4612111023403920352761009755031943291155705)/(16234420872565538367220085833041522665552)*a^(6) - (148514994383841001545613230184099494565313)/(377544671455012520167908972861430759664)*a^(5) + (12592141661690082452335642970868150914505741)/(16234420872565538367220085833041522665552)*a^(4) + (12940242552756358571482712286397509032117697)/(4058605218141384591805021458260380666388)*a^(3) + (69557941207762113252707687978744629249347069)/(16234420872565538367220085833041522665552)*a^(2) + (42842846268752468060764359769412796408929483)/(16234420872565538367220085833041522665552)*a + (9818877818609964605681548259947119234684779)/(16234420872565538367220085833041522665552) , (8993919608166937773355263109042621)/(4058605218141384591805021458260380666388)*a^(17) - (90529184998475982152048757009045013)/(32468841745131076734440171666083045331104)*a^(16) - (4682688132069884224904803296205203417)/(16234420872565538367220085833041522665552)*a^(15) - (171561005488463330985549149758958459)/(16234420872565538367220085833041522665552)*a^(14) + (63989514273814528561581149215786118989)/(4058605218141384591805021458260380666388)*a^(13) + (7874736068235007095359273101989480351)/(377544671455012520167908972861430759664)*a^(12) - (7245590782245876941368766905917090201181)/(16234420872565538367220085833041522665552)*a^(11) - (19157719361203983677824391494057153429855)/(16234420872565538367220085833041522665552)*a^(10) + (486902091055985847627612482506367820296)/(78050100348872780611635028043468858969)*a^(9) + (28250889182439530079911722632739745299916)/(1014651304535346147951255364565095166597)*a^(8) - (348828946914846078762891325572634891774911)/(16234420872565538367220085833041522665552)*a^(7) - (4734713541270207221681396199978896354857345)/(16234420872565538367220085833041522665552)*a^(6) - (19191098673964151603479179512807400770401)/(47193083931876565020988621607678844958)*a^(5) + (12838412751252320930364809427358769800262291)/(16234420872565538367220085833041522665552)*a^(4) + (53010101412404475157048164314350229132819669)/(16234420872565538367220085833041522665552)*a^(3) + (71237834664076837630072811681729649966159419)/(16234420872565538367220085833041522665552)*a^(2) + (2742574509862317220987439985257298096584530)/(1014651304535346147951255364565095166597)*a + (20215856664106071395738980736976574672284389)/(32468841745131076734440171666083045331104) , (6507180410908764648812369043428195)/(4058605218141384591805021458260380666388)*a^(17) - (230092844071065000129905869701100761)/(32468841745131076734440171666083045331104)*a^(16) - (1483488918863804385513990450738404363)/(8117210436282769183610042916520761332776)*a^(15) + (8969040639021562826352994187944394239)/(16234420872565538367220085833041522665552)*a^(14) + (150717444431699116426630692472060051667)/(16234420872565538367220085833041522665552)*a^(13) - (2423216195942669396160875320888865579)/(188772335727506260083954486430715379832)*a^(12) - (2145844301222609745688197229523347295719)/(8117210436282769183610042916520761332776)*a^(11) - (929652990821681108608600219675125235863)/(16234420872565538367220085833041522665552)*a^(10) + (5252358303190539810569775916423411213075)/(1248801605581964489786160448695501743504)*a^(9) + (115527350358418983453094009918656599098795)/(16234420872565538367220085833041522665552)*a^(8) - (246673424240645071834286763636696179939229)/(8117210436282769183610042916520761332776)*a^(7) - (1752965343032144245277127004316336579508559)/(16234420872565538367220085833041522665552)*a^(6) - (4601767908180999791118914729086378691933)/(377544671455012520167908972861430759664)*a^(5) + (3823400050360053972596945589044936054561641)/(8117210436282769183610042916520761332776)*a^(4) + (7795575307120202561532143033745617918991959)/(8117210436282769183610042916520761332776)*a^(3) + (13529734002673964664684505892517039602318183)/(16234420872565538367220085833041522665552)*a^(2) + (5106868990629347334580994847297925786300233)/(16234420872565538367220085833041522665552)*a + (1159368045603810094068612933981122711539075)/(32468841745131076734440171666083045331104) , (178035400783794882939406917353675201)/(32468841745131076734440171666083045331104)*a^(17) - (655476551106102809769495084858030147)/(32468841745131076734440171666083045331104)*a^(16) - (10479002923999184133707923188346183673)/(16234420872565538367220085833041522665552)*a^(15) + (11621685320373256277214815944424485967)/(8117210436282769183610042916520761332776)*a^(14) + (542750404970153403624273823097693756207)/(16234420872565538367220085833041522665552)*a^(13) - (483906743450390436801879359435831336)/(23596541965938282510494310803839422479)*a^(12) - (15417040027744486440657076975224433136939)/(16234420872565538367220085833041522665552)*a^(11) - (1781870451545111641278986218515021648319)/(2029302609070692295902510729130190333194)*a^(10) + (9078371786704950329856296800062853004115)/(624400802790982244893080224347750871752)*a^(9) + (579203977766892044917510667005513276767463)/(16234420872565538367220085833041522665552)*a^(8) - (1445927461899854058597863311333481964967463)/(16234420872565538367220085833041522665552)*a^(7) - (3725240207998556334120248268179560129386161)/(8117210436282769183610042916520761332776)*a^(6) - (117140391359206947459804609553703716042121)/(377544671455012520167908972861430759664)*a^(5) + (1692114148758353946139866631453759433353450)/(1014651304535346147951255364565095166597)*a^(4) + (74730375464432408778359316227308438799726139)/(16234420872565538367220085833041522665552)*a^(3) + (21146522300688846364210070824909630254087311)/(4058605218141384591805021458260380666388)*a^(2) + (92068723835075651691876427324396242794803115)/(32468841745131076734440171666083045331104)*a + (19313667130902725180176723663852583309931797)/(32468841745131076734440171666083045331104) , (279927962143292335315814705842772361)/(32468841745131076734440171666083045331104)*a^(17) - (1401154388378144644240008378852970791)/(32468841745131076734440171666083045331104)*a^(16) - (30870379975613233667386933052665391781)/(32468841745131076734440171666083045331104)*a^(15) + (113143521302155012975645122016734103807)/(32468841745131076734440171666083045331104)*a^(14) + (1534190670304264088206755045535684819897)/(32468841745131076734440171666083045331104)*a^(13) - (70502209864290951144852259738229783715)/(755089342910025040335817945722861519328)*a^(12) - (43498380591435931687007639196311226426821)/(32468841745131076734440171666083045331104)*a^(11) + (12444348474454458022595554062283218340255)/(32468841745131076734440171666083045331104)*a^(10) + (54194993362989677249436053586567858525459)/(2497603211163928979572320897391003487008)*a^(9) + (861465761828201995709381073422248070541309)/(32468841745131076734440171666083045331104)*a^(8) - (5474511691401940375561922771402371812340431)/(32468841745131076734440171666083045331104)*a^(7) - (15553267350673141394365351272300140480667259)/(32468841745131076734440171666083045331104)*a^(6) + (104641790282437848816308667832940273608033)/(755089342910025040335817945722861519328)*a^(5) + (75663372412006024104543014407696761986573045)/(32468841745131076734440171666083045331104)*a^(4) + (128294175112207018335317371805782940590251625)/(32468841745131076734440171666083045331104)*a^(3) + (88313971816106955350380608070648905357895981)/(32468841745131076734440171666083045331104)*a^(2) + (4293592784413017937315586280169901627128331)/(8117210436282769183610042916520761332776)*a - (2065805803432987864990338825950105152420701)/(16234420872565538367220085833041522665552) , (475689782489151610069465838522769443)/(16234420872565538367220085833041522665552)*a^(17) - (558052354001913394563920358716038903)/(8117210436282769183610042916520761332776)*a^(16) - (59408184107101290248242557611822308613)/(16234420872565538367220085833041522665552)*a^(15) + (56108632359235319976801422309690078399)/(16234420872565538367220085833041522665552)*a^(14) + (397435635323631391161314752728545025385)/(2029302609070692295902510729130190333194)*a^(13) + (8869245066247946009843156158580250811)/(94386167863753130041977243215357689916)*a^(12) - (90308066135036160000047792636752705984667)/(16234420872565538367220085833041522665552)*a^(11) - (168654386199779823118443568363258800189255)/(16234420872565538367220085833041522665552)*a^(10) + (12698010813492343883475494445775553835755)/(156100200697745561223270056086937717938)*a^(9) + (2296876890246443814513049588917626971220333)/(8117210436282769183610042916520761332776)*a^(8) - 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