/* 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^38 + 229*x^36 + 22442*x^34 + 1242325*x^32 + 43174744*x^30 + 989928070*x^28 + 15310092242*x^26 + 160462320009*x^24 + 1129846290713*x^22 + 5241767939799*x^20 + 15619544332617*x^18 + 29338707057674*x^16 + 34962128493052*x^14 + 26729901012072*x^12 + 13161379227544*x^10 + 4139430890096*x^8 + 811133080337*x^6 + 94183964323*x^4 + 5864318791*x^2 + 149876149, 38, 1, [0, 19], -566307980489842712804141765373005041569726061524232428759764421442954360220603558656123885789904896, [2, 229], [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, a^17, a^18, a^19, a^20, a^21, a^22, a^23, a^24, a^25, 1/107*a^26 - 6/107*a^24 + 53/107*a^22 + 14/107*a^20 - 34/107*a^18 + 41/107*a^16 + 30/107*a^14 + 23/107*a^12 + 16/107*a^8 - 46/107*a^6 - 2/107*a^4 + 29/107*a^2 - 19/107, 1/107*a^27 - 6/107*a^25 + 53/107*a^23 + 14/107*a^21 - 34/107*a^19 + 41/107*a^17 + 30/107*a^15 + 23/107*a^13 + 16/107*a^9 - 46/107*a^7 - 2/107*a^5 + 29/107*a^3 - 19/107*a, 1/107*a^28 + 17/107*a^24 + 11/107*a^22 + 50/107*a^20 + 51/107*a^18 - 45/107*a^16 - 11/107*a^14 + 31/107*a^12 + 16/107*a^10 + 50/107*a^8 + 43/107*a^6 + 17/107*a^4 + 48/107*a^2 - 7/107, 1/107*a^29 + 17/107*a^25 + 11/107*a^23 + 50/107*a^21 + 51/107*a^19 - 45/107*a^17 - 11/107*a^15 + 31/107*a^13 + 16/107*a^11 + 50/107*a^9 + 43/107*a^7 + 17/107*a^5 + 48/107*a^3 - 7/107*a, 1/107*a^30 + 6/107*a^24 + 5/107*a^22 + 27/107*a^20 - 2/107*a^18 + 41/107*a^16 - 51/107*a^14 + 53/107*a^12 + 50/107*a^10 - 15/107*a^8 + 50/107*a^6 - 25/107*a^4 + 35/107*a^2 + 2/107, 1/107*a^31 + 6/107*a^25 + 5/107*a^23 + 27/107*a^21 - 2/107*a^19 + 41/107*a^17 - 51/107*a^15 + 53/107*a^13 + 50/107*a^11 - 15/107*a^9 + 50/107*a^7 - 25/107*a^5 + 35/107*a^3 + 2/107*a, 1/9523*a^32 + 3/9523*a^30 - 6/9523*a^28 + 8/9523*a^26 - 3408/9523*a^24 - 2165/9523*a^22 + 2268/9523*a^20 - 4084/9523*a^18 - 860/9523*a^16 - 3933/9523*a^14 - 2499/9523*a^12 + 4319/9523*a^10 - 3045/9523*a^8 + 3092/9523*a^6 + 389/9523*a^4 + 2766/9523*a^2 - 4163/9523, 1/9523*a^33 + 3/9523*a^31 - 6/9523*a^29 + 8/9523*a^27 - 3408/9523*a^25 - 2165/9523*a^23 + 2268/9523*a^21 - 4084/9523*a^19 - 860/9523*a^17 - 3933/9523*a^15 - 2499/9523*a^13 + 4319/9523*a^11 - 3045/9523*a^9 + 3092/9523*a^7 + 389/9523*a^5 + 2766/9523*a^3 - 4163/9523*a, 1/127495457203*a^34 - 3762954/127495457203*a^32 + 594272018/127495457203*a^30 - 271586296/127495457203*a^28 + 458836508/127495457203*a^26 - 37659860813/127495457203*a^24 - 21551733898/127495457203*a^22 - 54484420657/127495457203*a^20 + 21826424541/127495457203*a^18 + 61232976004/127495457203*a^16 + 9113298200/127495457203*a^14 - 39977086622/127495457203*a^12 + 22236079087/127495457203*a^10 + 15642261184/127495457203*a^8 + 34855167983/127495457203*a^6 - 37594057250/127495457203*a^4 + 20944557106/127495457203*a^2 - 35681719383/127495457203, 1/127495457203*a^35 - 3762954/127495457203*a^33 + 594272018/127495457203*a^31 - 271586296/127495457203*a^29 + 458836508/127495457203*a^27 - 37659860813/127495457203*a^25 - 21551733898/127495457203*a^23 - 54484420657/127495457203*a^21 + 21826424541/127495457203*a^19 + 61232976004/127495457203*a^17 + 9113298200/127495457203*a^15 - 39977086622/127495457203*a^13 + 22236079087/127495457203*a^11 + 15642261184/127495457203*a^9 + 34855167983/127495457203*a^7 - 37594057250/127495457203*a^5 + 20944557106/127495457203*a^3 - 35681719383/127495457203*a, 1/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^36 + 4611253692845769111308356238387866473384938104800730335938611091412159257939755154580385/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^34 - 17464721208697311416708119177750349072413250427755502818173537446957003487441325683694136639596/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^32 - 9661832890699945846938743870715244443965429536382423719560421552557142255240069591151484378702747/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^30 - 13031126787119119783525053205342901613421455845493608178112847514817351605229077046730954491114117/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^28 + 8846649801369273351511600161653624616690014832787149562784616170739449310563329020749337721667570/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^26 - 764550873005830203861360859231676302870463204474909893917017458852146058202474126405873958611310774/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^24 - 1430710338483021511672661881900638327759115630113851391651146390656323575292549051616052908019979518/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^22 + 1926214617560046204315498347151784355039323368028639264411214045315898983666018747077176970397297901/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^20 + 647827209920609089657432230233261121948526888897130409678998159165847972992795864402883682335873247/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^18 + 1031335037142080859690142341524248129925363955818574823626874036387039821869952786917406153297733522/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^16 + 1592000171084196763973161066291828484124568753336168845430393583619286143523392188225274936050945872/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^14 + 1286465436741378669735362307357378844256401817531791865182348894356000930715212868923570749260931996/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^12 - 905541526634273727165817874051357912990216142482110048673831320500380597181281168706507083389848713/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^10 + 1846112821380756640488786826132873220705914922391367349714819183617399157369181596633658353546580874/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^8 + 1390713646126118611192600100374314797905966134364654811616661137112315131844695499956695683338638962/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^6 - 7611727918084709786761937480961784595060293156217934562560183294598963905803740276080180189354297/44862863781614138049679089802379192586750927301875205966459061529916871182581668201713213131956777*a^4 - 1128148921336826268801541015912812308649144450816119640079249783218227932739573299526716008896308454/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153*a^2 - 74504599672988349086887289655856693419572440095374750241261647919281748665159910608433310040350427/3992794876563658286421438992411748140220832529866893331014856476162601535249768469952475968744153153, 1/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^37 + 11967764108769065746365219762028664567775234901628424241504494217954306091802093757562545067/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^35 + 8633466287802686498416557265099568805667440312024875645044101690190183320259089519753182735953584/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^33 + 14649244644271964504805803930329711260823023287546803025253157815098800162054604200158570244167228395/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^31 - 14032501039572589624639983204757354666057124971279789914545927015896710996811544417758294686119224957/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^29 + 889681334011398371049649047179295860792243719354488434341993153635789123310752421271526382738654325/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^27 + 1582552644561238807453898198183423222753192941039999371557919811606430118874923880099743311498683508591/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a^25 - 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1069639884338431399868189943058743889449360705125452816443679845386559570284453167861326759556370217581/3230171055139999553714944144861104245438653516662316704791018889215544642017062692191553058714019900777*a], 1, 0,0,0,0,0, [[x^2 + 229, 1], [x^19 - x^18 - 108*x^17 + 213*x^16 + 4270*x^15 - 11618*x^14 - 74320*x^13 + 248057*x^12 + 559431*x^11 - 2225275*x^10 - 1928935*x^9 + 9223494*x^8 + 3299920*x^7 - 17492482*x^6 - 3737798*x^5 + 13322064*x^4 + 4255245*x^3 - 3318455*x^2 - 1865379*x - 251347, 1]]]