/* 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^14 - x^13 + 217*x^12 + 239*x^11 + 15033*x^10 + 42167*x^9 + 447988*x^8 + 1691539*x^7 + 7469613*x^6 + 26563459*x^5 + 71615373*x^4 + 183273867*x^3 + 308477505*x^2 + 377213368*x + 356178109, 14, 1, [0, 7], -3094745824656233782531059200463, [3, 7, 43], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/7*a^10 - 2/7*a^9 - 2/7*a^7 - 1/7*a^6 - 3/7*a^5 + 2/7*a^3 + 2/7*a^2, 1/7*a^11 + 3/7*a^9 - 2/7*a^8 + 2/7*a^7 + 2/7*a^6 + 1/7*a^5 + 2/7*a^4 - 1/7*a^3 - 3/7*a^2, 1/553*a^12 + 2/553*a^11 + 8/553*a^10 - 167/553*a^9 - 65/553*a^8 + 220/553*a^7 - 34/79*a^6 - 228/553*a^5 + 10/553*a^4 - 142/553*a^3 - 150/553*a^2 + 24/79*a + 13/79, 1/18555403797243500097531069858961719089609129244277*a^13 + 10757308804754315830403189204988537301801796116/18555403797243500097531069858961719089609129244277*a^12 - 440151715441990050065542369544699911796262952260/18555403797243500097531069858961719089609129244277*a^11 + 65673265833883108203229934157510652942113888794/18555403797243500097531069858961719089609129244277*a^10 + 8420481694972864803053543582786600492619940518524/18555403797243500097531069858961719089609129244277*a^9 - 530025173343918505239565164940301367091940696749/2650771971034785728218724265565959869944161320611*a^8 + 2311790652717317212307981367027110051177121564475/18555403797243500097531069858961719089609129244277*a^7 - 43615700385127420398831204571256313283964297942/2650771971034785728218724265565959869944161320611*a^6 + 3424206168977502705531088811569214630313130803788/18555403797243500097531069858961719089609129244277*a^5 + 7703248872053133174718399690127271476600474251430/18555403797243500097531069858961719089609129244277*a^4 - 75113412563873166105473171640010925545071188696/234878529079031646804190757708376191007710496763*a^3 + 4171980549801950934947982379282541543593330982461/18555403797243500097531069858961719089609129244277*a^2 - 228630348339212579272338447854850847610351009476/2650771971034785728218724265565959869944161320611*a + 826971830792764982747094068071122144708628787709/2650771971034785728218724265565959869944161320611], 1, 115712, [2, 2, 2, 2, 2, 2, 2, 904], 1, [ (35068743818159952775531064725811748003058)/(2650771971034785728218724265565959869944161320611)*a^(13) - (130097473425792684012741051293775667978641)/(2650771971034785728218724265565959869944161320611)*a^(12) + (7717359242131752853687695271268096320662775)/(2650771971034785728218724265565959869944161320611)*a^(11) - (11598735447219592639937080215472548217970771)/(2650771971034785728218724265565959869944161320611)*a^(10) + (506619223773312668936130560911703771177520551)/(2650771971034785728218724265565959869944161320611)*a^(9) + (189158151698428677498548420674427136522668786)/(2650771971034785728218724265565959869944161320611)*a^(8) + (12070644012941812608392947430852953564654548643)/(2650771971034785728218724265565959869944161320611)*a^(7) + (25946147760064188577103708388261701290041493579)/(2650771971034785728218724265565959869944161320611)*a^(6) + (133600274850582508476316246636378498788443399663)/(2650771971034785728218724265565959869944161320611)*a^(5) + (465756466028123963517390472068259646079052958117)/(2650771971034785728218724265565959869944161320611)*a^(4) + (934508433405711833287020338365297944073609387520)/(2650771971034785728218724265565959869944161320611)*a^(3) + (3164739399336933404115640098180879616567695455880)/(2650771971034785728218724265565959869944161320611)*a^(2) + (2514244748193092568527326202249673905113790201311)/(2650771971034785728218724265565959869944161320611)*a + (12644984025301763337645609445902095831379548684291)/(2650771971034785728218724265565959869944161320611) , (243725219015233668745711030448514659592144)/(18555403797243500097531069858961719089609129244277)*a^(13) - (898372267516577686209364555349603641101420)/(18555403797243500097531069858961719089609129244277)*a^(12) + (50712763380852555750954594042817061771271096)/(18555403797243500097531069858961719089609129244277)*a^(11) - (73527343839638873271424686239860502825098398)/(18555403797243500097531069858961719089609129244277)*a^(10) + (2933527125939908120415917922869823800922171577)/(18555403797243500097531069858961719089609129244277)*a^(9) + (1292125898806171013708491902175494356819406162)/(18555403797243500097531069858961719089609129244277)*a^(8) + (50308583876608622404375649576983130260705541622)/(18555403797243500097531069858961719089609129244277)*a^(7) + (16433304702946532165238979106614354463805585804)/(2650771971034785728218724265565959869944161320611)*a^(6) + (41437336859082505580623823019341152980496029294)/(2650771971034785728218724265565959869944161320611)*a^(5) + (1184236474227404488708164980789313865632171747729)/(18555403797243500097531069858961719089609129244277)*a^(4) + (736445347540687647584049715168277423467248497592)/(18555403797243500097531069858961719089609129244277)*a^(3) + (973214240336023264739904020342159312342413584963)/(18555403797243500097531069858961719089609129244277)*a^(2) - (199937807311852460685072783596407115422117423455)/(2650771971034785728218724265565959869944161320611)*a - (533270380706129207547625929192997257006412889920)/(2650771971034785728218724265565959869944161320611) , (318143929514417597959217476849380212310166)/(18555403797243500097531069858961719089609129244277)*a^(13) - (682901828456933228973298690918186646148158)/(18555403797243500097531069858961719089609129244277)*a^(12) + (69486114959032038490292957704273967404745861)/(18555403797243500097531069858961719089609129244277)*a^(11) - (3358295903237572684452598186840503342353929)/(18555403797243500097531069858961719089609129244277)*a^(10) + (4711836847569532977795615297074727609862120500)/(18555403797243500097531069858961719089609129244277)*a^(9) + (7928640937397648672427253353386596166857011102)/(18555403797243500097531069858961719089609129244277)*a^(8) + (127925363970388084619700429761588848278983803491)/(18555403797243500097531069858961719089609129244277)*a^(7) + (53929458191864217216174654891035573061742723366)/(2650771971034785728218724265565959869944161320611)*a^(6) + (1763087202257612019897082031242250728375003905850)/(18555403797243500097531069858961719089609129244277)*a^(5) + (5879488526510959027992869088733989121474111796153)/(18555403797243500097531069858961719089609129244277)*a^(4) + (12917943724399086364967298030786439208085121301322)/(18555403797243500097531069858961719089609129244277)*a^(3) + (34997765146432975848070988646194041685482376079326)/(18555403797243500097531069858961719089609129244277)*a^(2) + (4493620443409511778499714070883266298945916320095)/(2650771971034785728218724265565959869944161320611)*a + (6021855031177029351261878476081536899002110911831)/(2650771971034785728218724265565959869944161320611) , (407922919172904020185357605181362547652252)/(18555403797243500097531069858961719089609129244277)*a^(13) - (156013317315198449752726865771913639765957)/(2650771971034785728218724265565959869944161320611)*a^(12) + (12475364294167841922674530075176846555400973)/(2650771971034785728218724265565959869944161320611)*a^(11) - (43834731492138939682114099711449132151363999)/(18555403797243500097531069858961719089609129244277)*a^(10) + (5581715401795454939610303166080825655506112585)/(18555403797243500097531069858961719089609129244277)*a^(9) + (7564111583032103591440261375634973177235458187)/(18555403797243500097531069858961719089609129244277)*a^(8) + (131914682697895887678849149398494466785982614422)/(18555403797243500097531069858961719089609129244277)*a^(7) + (54966034952512489768221547825520453657972788251)/(2650771971034785728218724265565959869944161320611)*a^(6) + (1543899572454568029614673152865830206282707434440)/(18555403797243500097531069858961719089609129244277)*a^(5) + (5380083548480664585939961466349260960005928483614)/(18555403797243500097531069858961719089609129244277)*a^(4) + (10476851846557834242590775090128069633615599316018)/(18555403797243500097531069858961719089609129244277)*a^(3) + (25389257491530808023205315407012066238693963961655)/(18555403797243500097531069858961719089609129244277)*a^(2) + (3148257158322167982301752666668570460186166906499)/(2650771971034785728218724265565959869944161320611)*a - (4975783346876639452555549921183401532261375242509)/(2650771971034785728218724265565959869944161320611) , (261021127157610705214357065236680062346775)/(18555403797243500097531069858961719089609129244277)*a^(13) - (515933418902607415863323224480841085400484)/(18555403797243500097531069858961719089609129244277)*a^(12) + (55620116872703640835081070387124372049907476)/(18555403797243500097531069858961719089609129244277)*a^(11) + (13800838854476102219138477187289090224513361)/(18555403797243500097531069858961719089609129244277)*a^(10) + (3561369893980987531293508617712249772646466355)/(18555403797243500097531069858961719089609129244277)*a^(9) + (8006867563631852720622562332079006132326265503)/(18555403797243500097531069858961719089609129244277)*a^(8) + (84759223078294868306631202526700306597246851598)/(18555403797243500097531069858961719089609129244277)*a^(7) + (48145556976577988326866270431796625878502216225)/(2650771971034785728218724265565959869944161320611)*a^(6) + (984653810516458596579758670934850781935228870351)/(18555403797243500097531069858961719089609129244277)*a^(5) + (3839089367170246660999704362360780844372832915318)/(18555403797243500097531069858961719089609129244277)*a^(4) + (7142071212804504973892100823596979915464759441903)/(18555403797243500097531069858961719089609129244277)*a^(3) + (6052165701043331340377178369022595859429226568977)/(18555403797243500097531069858961719089609129244277)*a^(2) + (1231450623096236731504581316732882523283938044414)/(2650771971034785728218724265565959869944161320611)*a - (756801667566715479448987833039398545693189077912)/(2650771971034785728218724265565959869944161320611) , (75914010026793552920749561712122507073737)/(18555403797243500097531069858961719089609129244277)*a^(13) + (469399172383304814393553514166574535773891)/(18555403797243500097531069858961719089609129244277)*a^(12) + (16854192212362194832412166592731201414179758)/(18555403797243500097531069858961719089609129244277)*a^(11) + (126197162410831375459524297849572636524981642)/(18555403797243500097531069858961719089609129244277)*a^(10) + (1467952135391904314382347820934120367080188326)/(18555403797243500097531069858961719089609129244277)*a^(9) + (9699170588761585952503951017060931936132903295)/(18555403797243500097531069858961719089609129244277)*a^(8) + (65723184428561217952628214813791668347176160922)/(18555403797243500097531069858961719089609129244277)*a^(7) + (41082578528529958550341488715077584226166468869)/(2650771971034785728218724265565959869944161320611)*a^(6) + (1356281055464691368636841779220590870180886858281)/(18555403797243500097531069858961719089609129244277)*a^(5) + (4206550403847814070587814397173946658409952345539)/(18555403797243500097531069858961719089609129244277)*a^(4) + (10768935278528603985079121372771687225181554596460)/(18555403797243500097531069858961719089609129244277)*a^(3) + (24774669103240290531222577246779780388053733228482)/(18555403797243500097531069858961719089609129244277)*a^(2) + (3680483702325720082050546551627984066111524214332)/(2650771971034785728218724265565959869944161320611)*a + (7196299408839650501054861512256814069844924534992)/(2650771971034785728218724265565959869944161320611) ], 35991.64185055774, [[x^2 - x + 226, 1], [x^7 - x^6 - 18*x^5 + 35*x^4 + 38*x^3 - 104*x^2 + 7*x + 49, 1]]]