/* 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^28 - 8*x^27 + 39*x^26 - 147*x^25 + 484*x^24 - 1461*x^23 + 4001*x^22 - 10052*x^21 + 23841*x^20 - 52926*x^19 + 109173*x^18 - 208723*x^17 + 369896*x^16 - 608215*x^15 + 913744*x^14 - 1246890*x^13 + 1584122*x^12 - 1829692*x^11 + 1878311*x^10 - 1777347*x^9 + 1518093*x^8 - 1036936*x^7 + 598732*x^6 - 344364*x^5 + 177291*x^4 - 79332*x^3 + 46992*x^2 - 15367*x + 6413, 28, 10, [0, 14], 84980457635217037392318371738994676821454381, [11, 181], [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, 1/11*a^16 + 2/11*a^15 + 2/11*a^14 + 2/11*a^13 - 2/11*a^11 + 1/11*a^10 + 4/11*a^9 - 3/11*a^8 + 1/11*a^7 - 2/11*a^6 - 5/11*a^5 - 4/11*a^4 - 3/11*a^3 + 4/11*a^2, 1/11*a^17 - 2/11*a^15 - 2/11*a^14 - 4/11*a^13 - 2/11*a^12 + 5/11*a^11 + 2/11*a^10 - 4/11*a^8 - 4/11*a^7 - 1/11*a^6 - 5/11*a^5 + 5/11*a^4 - 1/11*a^3 + 3/11*a^2, 1/11*a^18 + 2/11*a^15 + 2/11*a^13 + 5/11*a^12 - 2/11*a^11 + 2/11*a^10 + 4/11*a^9 + 1/11*a^8 + 1/11*a^7 + 2/11*a^6 - 5/11*a^5 + 2/11*a^4 - 3/11*a^3 - 3/11*a^2, 1/11*a^19 - 4/11*a^15 - 2/11*a^14 + 1/11*a^13 - 2/11*a^12 - 5/11*a^11 + 2/11*a^10 + 4/11*a^9 - 4/11*a^8 - 1/11*a^6 + 1/11*a^5 + 5/11*a^4 + 3/11*a^3 + 3/11*a^2, 1/11*a^20 - 5/11*a^15 - 2/11*a^14 - 5/11*a^13 - 5/11*a^12 + 5/11*a^11 - 3/11*a^10 + 1/11*a^9 - 1/11*a^8 + 3/11*a^7 + 4/11*a^6 - 4/11*a^5 - 2/11*a^4 + 2/11*a^3 + 5/11*a^2, 1/11*a^21 - 3/11*a^15 + 5/11*a^14 + 5/11*a^13 + 5/11*a^12 - 2/11*a^11 - 5/11*a^10 - 3/11*a^9 - 1/11*a^8 - 2/11*a^7 - 3/11*a^6 - 5/11*a^5 + 4/11*a^4 + 1/11*a^3 - 2/11*a^2, 1/121*a^22 + 2/121*a^21 - 4/121*a^20 + 1/121*a^19 - 3/121*a^18 + 4/121*a^17 - 3/121*a^16 + 23/121*a^15 - 42/121*a^14 + 14/121*a^13 + 3/121*a^12 + 36/121*a^11 + 14/121*a^10 - 8/121*a^9 + 10/121*a^8 + 6/121*a^7 + 50/121*a^6 + 6/121*a^5 + 58/121*a^4 - 5/11*a^3 - 2/11*a^2, 1/121*a^23 + 3/121*a^21 - 2/121*a^20 - 5/121*a^19 - 1/121*a^18 - 4/121*a^16 - 5/11*a^15 - 34/121*a^14 - 47/121*a^13 - 58/121*a^12 + 8/121*a^11 + 30/121*a^10 + 48/121*a^9 + 30/121*a^8 + 16/121*a^7 - 17/121*a^6 - 42/121*a^5 + 60/121*a^4 - 4/11*a^3 + 2/11*a^2, 1/121*a^24 + 3/121*a^21 - 4/121*a^20 - 4/121*a^19 - 2/121*a^18 - 5/121*a^17 - 2/121*a^16 - 37/121*a^15 - 20/121*a^14 + 32/121*a^13 + 32/121*a^12 - 45/121*a^11 + 28/121*a^10 + 21/121*a^9 + 41/121*a^8 + 20/121*a^7 - 27/121*a^6 + 53/121*a^5 - 53/121*a^4 - 5/11*a^3 - 1/11*a^2, 1/1573*a^25 - 6/1573*a^23 + 6/1573*a^22 + 61/1573*a^21 - 70/1573*a^20 - 35/1573*a^19 - 30/1573*a^18 + 43/1573*a^17 - 6/143*a^16 + 60/1573*a^15 + 2/13*a^14 - 711/1573*a^13 + 620/1573*a^12 + 43/143*a^11 - 700/1573*a^10 - 733/1573*a^9 + 101/1573*a^8 - 171/1573*a^7 + 492/1573*a^6 + 74/1573*a^5 - 439/1573*a^4 - 3/13*a^3 + 40/143*a^2 - 5/13*a + 2/13, 1/72032389*a^26 - 7643/72032389*a^25 + 189586/72032389*a^24 + 985/503723*a^23 + 11195/72032389*a^22 - 2706050/72032389*a^21 - 2374503/72032389*a^20 + 85144/5540953*a^19 - 222363/5540953*a^18 - 2385/284713*a^17 - 310940/72032389*a^16 - 21195444/72032389*a^15 + 14028182/72032389*a^14 + 397821/5540953*a^13 + 9147971/72032389*a^12 + 9858193/72032389*a^11 - 29140413/72032389*a^10 - 17455628/72032389*a^9 + 32715938/72032389*a^8 - 14910042/72032389*a^7 - 31894024/72032389*a^6 - 30330158/72032389*a^5 + 26940996/72032389*a^4 - 2411116/6548399*a^3 - 3263288/6548399*a^2 - 2434/595309*a - 280057/595309, 1/6948452831464791556490402061655278578013457256259205576961*a^27 - 24611249133424600620044742893774564635796556960118/6948452831464791556490402061655278578013457256259205576961*a^26 + 1024372656857620692369180076050200764985662113193875171/6948452831464791556490402061655278578013457256259205576961*a^25 + 18454629505371194223036694782994163759182652366812906433/6948452831464791556490402061655278578013457256259205576961*a^24 - 15444417966829341165728786960211038986574175652524677769/6948452831464791556490402061655278578013457256259205576961*a^23 + 457304266420827298907436331717989615483686049927179647/131102883612543236914913246446326010905914287853947275037*a^22 - 286366443570279109534867885041114204144929149407153021364/6948452831464791556490402061655278578013457256259205576961*a^21 - 191368196449251482725504801433329017971458950820374640964/6948452831464791556490402061655278578013457256259205576961*a^20 - 59468641445398164073044355389236773223652391873630894951/6948452831464791556490402061655278578013457256259205576961*a^19 + 148482743597142294775312683899186015393950718752768791769/6948452831464791556490402061655278578013457256259205576961*a^18 + 117823364893778367290214898666607699418114970162460833383/6948452831464791556490402061655278578013457256259205576961*a^17 + 159896230233363941926573240127991064360639535972510697045/6948452831464791556490402061655278578013457256259205576961*a^16 + 8064729618736763914701218028103163542515918275570386875/27464240440572298642254553603380547739183625518811089237*a^15 + 2938041375327781142045642911927849159523513989666293886699/6948452831464791556490402061655278578013457256259205576961*a^14 + 3339427010933309203764910296763810062718098851601585037348/6948452831464791556490402061655278578013457256259205576961*a^13 + 3278783967714673017687955622380479031793948717160615296620/6948452831464791556490402061655278578013457256259205576961*a^12 + 3462862950614304844082617446257190915083799648506676369083/6948452831464791556490402061655278578013457256259205576961*a^11 + 172723147161653664646531485442644164465981006773542210994/631677530133162868771854732877752598001223386932655052451*a^10 + 337921078195356134633916402815526302899298938101606984260/6948452831464791556490402061655278578013457256259205576961*a^9 + 1072860002898812187615549224272460045885486282087472578884/6948452831464791556490402061655278578013457256259205576961*a^8 - 112575074519457302645416789038612713001328144646626259104/302106644846295285064800089637186025131019880706921981607*a^7 + 1166410881763028004974030221998639285982002858941396448107/6948452831464791556490402061655278578013457256259205576961*a^6 + 986581369356939051508359288954916252794702395316661753623/6948452831464791556490402061655278578013457256259205576961*a^5 - 2543988599662322792197724164748930677844254263700152574130/6948452831464791556490402061655278578013457256259205576961*a^4 + 1974359437739808383309909626467753639689757149375774514/6132791554690901638561696435706335902924498902258786917*a^3 - 4503775796893363667725814790647611917614140183107988722/27464240440572298642254553603380547739183625518811089237*a^2 - 12776073526367268736610260209487864456110782021381745821/57425230012105715342895884807068418000111216993877732041*a - 252715611982334774608544012812388797251535874580369708/1083494905888787081941431788812611660379456924412787397], 0, 1, [], 1, [ (277450609234669307697754269000014133362006318266176112)/(6948452831464791556490402061655278578013457256259205576961)*a^(27) - (2475272983434101966697867917714962649467139396142637681)/(6948452831464791556490402061655278578013457256259205576961)*a^(26) + (12910568126054896988968786211978246769975906508242138211)/(6948452831464791556490402061655278578013457256259205576961)*a^(25) - (3903861986779218761205439737705425023703915179191591115)/(534496371651137812037723235511944506001035173558400428997)*a^(24) + (171081575362073022591087318373868475835554937435971659535)/(6948452831464791556490402061655278578013457256259205576961)*a^(23) - (9889209503024606398251931188221520811046575538080760841)/(131102883612543236914913246446326010905914287853947275037)*a^(22) + (1463878417173183612161885761101050952550168141913117021291)/(6948452831464791556490402061655278578013457256259205576961)*a^(21) - (3744823748285373011613184665302657468109438601908971178560)/(6948452831464791556490402061655278578013457256259205576961)*a^(20) + (8972801245424948881469502006820875487514971725780647369234)/(6948452831464791556490402061655278578013457256259205576961)*a^(19) - (20191125661621764442769370937121455288338819135551530135508)/(6948452831464791556490402061655278578013457256259205576961)*a^(18) + (42344896799574390711449118839072022158016142767739537321984)/(6948452831464791556490402061655278578013457256259205576961)*a^(17) - (3576510278616651300998688260691199581070230447788937121109)/(302106644846295285064800089637186025131019880706921981607)*a^(16) + (13459247330008135834679593951855309849705432152768613362374)/(631677530133162868771854732877752598001223386932655052451)*a^(15) - (246919350944912148546278000414511530692117293017805173109518)/(6948452831464791556490402061655278578013457256259205576961)*a^(14) + (377863614902656769525450607068901754452673865882316146959502)/(6948452831464791556490402061655278578013457256259205576961)*a^(13) - (524983639199563446819693307283377918757497758104916926022601)/(6948452831464791556490402061655278578013457256259205576961)*a^(12) + (669277257944131231670019630733145992148103909249081985620771)/(6948452831464791556490402061655278578013457256259205576961)*a^(11) - (71150194674722765052252155716781754016065629669719467267063)/(631677530133162868771854732877752598001223386932655052451)*a^(10) + (818721465631725805360913182580335501490908863250774862929751)/(6948452831464791556490402061655278578013457256259205576961)*a^(9) - (759417475054966812664517032691223106933604517850086358341874)/(6948452831464791556490402061655278578013457256259205576961)*a^(8) + (643627598894448173203915672331252789362559780122248667785314)/(6948452831464791556490402061655278578013457256259205576961)*a^(7) - (452248158191747908553889844958234665848244131814533353037508)/(6948452831464791556490402061655278578013457256259205576961)*a^(6) + (17267580148942963457594439184256820243439255383646931734652)/(534496371651137812037723235511944506001035173558400428997)*a^(5) - (89527300260572094711489272612017565969865965413875483854558)/(6948452831464791556490402061655278578013457256259205576961)*a^(4) + (44923881680155521164232087897438755793322835311715013820)/(6132791554690901638561696435706335902924498902258786917)*a^(3) - (1557792684334978350779022096554600666360454332989797631766)/(631677530133162868771854732877752598001223386932655052451)*a^(2) + (44695446909483168390617573073231349980531304381409074581)/(57425230012105715342895884807068418000111216993877732041)*a + (753132934882083974586084178365227178866061536046114155)/(1083494905888787081941431788812611660379456924412787397) , (1039817012480738974520392069937659919951003246229948649)/(6948452831464791556490402061655278578013457256259205576961)*a^(27) - (7579642812741603504952638430218788031591955694229430907)/(6948452831464791556490402061655278578013457256259205576961)*a^(26) + (2683693195741297823272178195968753402369926242462172137)/(534496371651137812037723235511944506001035173558400428997)*a^(25) - (126177043840470631291755573277473346700422748368181608600)/(6948452831464791556490402061655278578013457256259205576961)*a^(24) + (31168808583912339947781693432287486915548985621553914108)/(534496371651137812037723235511944506001035173558400428997)*a^(23) - (1743834351132373565513685020948355155859684262616885963)/(10084837200964864378070249726640462377378022142611328849)*a^(22) + (3212019708566654876894429020265414202368151803671475774270)/(6948452831464791556490402061655278578013457256259205576961)*a^(21) - (343126533259244647654382770564437690369241122433140415811)/(302106644846295285064800089637186025131019880706921981607)*a^(20) + (18449519208957811123734953318711328143362860193289943226228)/(6948452831464791556490402061655278578013457256259205576961)*a^(19) - (40139480840097065163508055267365577012229996371323461620908)/(6948452831464791556490402061655278578013457256259205576961)*a^(18) + (80847017212399489830761001700328505161261859024097934796007)/(6948452831464791556490402061655278578013457256259205576961)*a^(17) - (150653212472157781548803250263478274570147482058164963420509)/(6948452831464791556490402061655278578013457256259205576961)*a^(16) + (23613965559691655350932706271271177418504665293496273474329)/(631677530133162868771854732877752598001223386932655052451)*a^(15) - (415007484886500838452515818880388112681806213824385550261977)/(6948452831464791556490402061655278578013457256259205576961)*a^(14) + (599136300278903446936878859120852751765000003519350954689672)/(6948452831464791556490402061655278578013457256259205576961)*a^(13) - (781959761271088959162388332829116425611850143129546306590933)/(6948452831464791556490402061655278578013457256259205576961)*a^(12) + (965169924148062330294479314749635508023744284744991053300038)/(6948452831464791556490402061655278578013457256259205576961)*a^(11) - (95737506613297072679099870344316111413862518245804329090205)/(631677530133162868771854732877752598001223386932655052451)*a^(10) + (77077137848110262862637267522237350718697726667156959549717)/(534496371651137812037723235511944506001035173558400428997)*a^(9) - (919419772149516611829157741596888165102514519413551478193608)/(6948452831464791556490402061655278578013457256259205576961)*a^(8) + (717618086974979034644360267614670867369679345811968189816504)/(6948452831464791556490402061655278578013457256259205576961)*a^(7) - (374741396420841034758102590765636531175507342240956791471001)/(6948452831464791556490402061655278578013457256259205576961)*a^(6) + (209212182872892093759037636244763072410327165139779426723557)/(6948452831464791556490402061655278578013457256259205576961)*a^(5) - (132204779035743683986324540681370837487463016534030576483674)/(6948452831464791556490402061655278578013457256259205576961)*a^(4) + (34302824245887550707422883031666921283767669864211957482)/(6132791554690901638561696435706335902924498902258786917)*a^(3) - (2615099251887641374607620848372412229266574336452848300201)/(631677530133162868771854732877752598001223386932655052451)*a^(2) + (132406122509179535930958310227738096507650752994503219627)/(57425230012105715342895884807068418000111216993877732041)*a - (781036512943560576923753282071170603220743063149697448)/(1083494905888787081941431788812611660379456924412787397) , (12971988163868398409778841966294971290767283374402450)/(6948452831464791556490402061655278578013457256259205576961)*a^(27) + (330724476925709611393285619252313012651721407648150335)/(6948452831464791556490402061655278578013457256259205576961)*a^(26) - 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