/* 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 + 181*x^36 + 14302*x^34 + 655785*x^32 + 19564842*x^30 + 403491764*x^28 + 5961216274*x^26 + 64460499272*x^24 + 516273473421*x^22 + 3076728313208*x^20 + 13620343868498*x^18 + 44444158242663*x^16 + 105381413708670*x^14 + 177560394917737*x^12 + 205585970435602*x^10 + 155336297697903*x^8 + 70268784621098*x^6 + 16089414412134*x^4 + 1207108975793*x^2 + 13841287201, 38, 1, [0, 19], -3600319611560698860610362435063272860144872381060102455880973038531255093138465367428016635904, [2, 191], [1, a, a^2, a^3, a^4, a^5, a^6, 1/7*a^7 + 1/7*a, 1/7*a^8 + 1/7*a^2, 1/7*a^9 + 1/7*a^3, 1/7*a^10 + 1/7*a^4, 1/7*a^11 + 1/7*a^5, 1/7*a^12 + 1/7*a^6, 1/7*a^13 - 1/7*a, 1/49*a^14 + 2/49*a^8 + 1/49*a^2, 1/49*a^15 + 2/49*a^9 + 1/49*a^3, 1/49*a^16 + 2/49*a^10 + 1/49*a^4, 1/49*a^17 + 2/49*a^11 + 1/49*a^5, 1/49*a^18 + 2/49*a^12 + 1/49*a^6, 1/49*a^19 + 2/49*a^13 + 1/49*a^7, 1/49*a^20 - 3/49*a^8 - 2/49*a^2, 1/343*a^21 + 3/343*a^15 + 3/343*a^9 + 1/343*a^3, 1/343*a^22 + 3/343*a^16 + 3/343*a^10 + 1/343*a^4, 1/343*a^23 + 3/343*a^17 + 3/343*a^11 + 1/343*a^5, 1/343*a^24 + 3/343*a^18 + 3/343*a^12 + 1/343*a^6, 1/343*a^25 + 3/343*a^19 + 3/343*a^13 + 1/343*a^7, 1/2401*a^26 - 1/2401*a^24 + 1/2401*a^22 - 11/2401*a^20 + 11/2401*a^18 - 11/2401*a^16 + 24/2401*a^14 - 73/2401*a^12 + 73/2401*a^10 - 13/2401*a^8 + 258/2401*a^6 - 258/2401*a^4 + 6/49*a^2, 1/2401*a^27 - 1/2401*a^25 + 1/2401*a^23 + 3/2401*a^21 + 11/2401*a^19 - 11/2401*a^17 + 17/2401*a^15 - 73/2401*a^13 + 73/2401*a^11 - 69/2401*a^9 - 85/2401*a^7 - 258/2401*a^5 + 37/343*a^3 - 1/7*a, 1/2401*a^28 - 3/2401*a^22 - 15/2401*a^16 - 17/2401*a^10 - 6/2401*a^4, 1/16807*a^29 + 1/16807*a^27 + 13/16807*a^25 + 19/16807*a^23 - 11/16807*a^21 + 4/16807*a^19 + 135/16807*a^17 - 74/16807*a^15 - 815/16807*a^13 - 53/2401*a^11 - 895/16807*a^9 - 463/16807*a^7 - 3232/16807*a^5 + 137/343*a^3 + 3/7*a, 1/16807*a^30 + 1/16807*a^28 - 1/16807*a^26 - 16/16807*a^24 + 24/16807*a^22 + 158/16807*a^20 - 166/16807*a^18 - 116/16807*a^16 - 122/16807*a^14 + 72/2401*a^12 - 55/16807*a^10 - 624/16807*a^8 - 6893/16807*a^6 - 625/2401*a^4 + 5/49*a^2, 1/16807*a^31 - 2/16807*a^27 + 20/16807*a^25 + 5/16807*a^23 + 22/16807*a^21 - 23/16807*a^19 + 92/16807*a^17 - 146/16807*a^15 - 935/16807*a^13 + 1002/16807*a^11 + 516/16807*a^9 + 822/16807*a^7 - 800/16807*a^5 - 2/7*a^3 + 1/7*a, 1/16807*a^32 - 2/16807*a^28 - 1/16807*a^26 - 23/16807*a^24 + 1/16807*a^22 - 135/16807*a^20 + 57/16807*a^18 + 85/16807*a^16 - 67/16807*a^14 + 673/16807*a^12 - 1017/16807*a^10 + 66/16807*a^8 - 8325/16807*a^6 + 88/2401*a^4 - 19/49*a^2, 1/117649*a^33 - 1/117649*a^31 + 1/117649*a^29 - 3/117649*a^27 + 101/117649*a^25 + 144/117649*a^23 - 113/117649*a^21 - 377/117649*a^19 + 83/117649*a^17 - 311/117649*a^15 + 997/117649*a^13 + 4883/117649*a^11 + 1758/117649*a^9 - 3326/117649*a^7 + 36156/117649*a^5 - 597/2401*a^3 + 11/49*a, 1/38689226597*a^34 + 943480/38689226597*a^32 - 135295/38689226597*a^30 + 3898752/38689226597*a^28 - 56477/354947033*a^26 - 37142206/38689226597*a^24 + 38440940/38689226597*a^22 - 177667027/38689226597*a^20 - 72606969/38689226597*a^18 - 321057166/38689226597*a^16 - 286267853/38689226597*a^14 - 450268136/38689226597*a^12 + 1616676958/38689226597*a^10 - 161463359/38689226597*a^8 + 15372658435/38689226597*a^6 - 360996155/789576053*a^4 + 2802321/16113797*a^2 + 19496/46979, 1/270824586179*a^35 + 943480/270824586179*a^33 - 135295/270824586179*a^31 - 705190/270824586179*a^29 + 196951/2484629231*a^27 - 129221046/270824586179*a^25 - 242399522/270824586179*a^23 - 255934041/270824586179*a^21 - 1315671309/270824586179*a^19 - 1184296291/270824586179*a^17 + 2294241638/270824586179*a^15 - 13263038722/270824586179*a^13 + 17633791176/270824586179*a^11 - 16312091895/270824586179*a^9 - 3395311128/270824586179*a^7 + 1589243072/5527032371*a^5 + 33432629/112796579*a^3 - 286339/2301971*a, 1/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^36 - 4581726622875218810992401735645417235059090673040383638436311261519/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^34 + 11873232812594360852180481300466411981091984122532769347423194503341655668/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^32 + 6683277042913664224038591182489480796579705134699936066083647553360462656/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^30 - 13767634298325273025982615489841217765581890239455423865151298291682330611/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^28 + 53266941091159648042027264595544376551073137274582048190644303665350238981/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^26 - 152078066337504608331051249487192002982086079013403186305631162455155120882/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^24 - 291188423880634312258985131210123151421016138499042735958574444018041931250/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^22 + 2891914232731322939549414694547201465590747969182404228173889463582380142206/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^20 - 1100387562717850943059930924188652812243958923860927150790060361838688369872/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^18 - 3654928535513055671801351650056811120861147813581712161363991763064445821356/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^16 + 3198078697050649509174194387109024077741348061814458172570960640275617581519/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^14 + 19711354082735511273826386651435018556078884554062426857419503888523761502074/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^12 + 20010584963179492726320163537637721582402033316142201219271063989611126668566/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^10 - 27317850157054000973467969892611874089076844946314550243135249059023107623854/477930393417471341536692345445681211783330834731663242098639874480095336336239*a^8 + 2507997335166193359842711159367032044124230368493378016356554325880061457370/9753681498315741664014129498891453301700629280238025348951834173063170129311*a^6 + 56016028198842813839377004389391371824437247573149629591267013461214266237/199054724455423299265594479569213332687767944494653578550037432103330002639*a^4 - 924685338474510932655223846365736391967627525687108584962589869868204550/4062341315416802025828458766718639442607509071319460786735457798027142911*a^2 - 521823032927252126904687878983954515681679808489965665039755090112775/1691937240906623084476659211461324215996463586555377253950627987516511, 1/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^37 - 4581726622875218810992401735645417235059090673040383638436311261519/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^35 + 11873232812594360852180481300466411981091984122532769347423194503341655668/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^33 - 50189501372921564137559831551571471399925421863772514948212761619019538098/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^31 - 42204023506242887206781826856871693863834453738691649372299502877872330988/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^29 + 536685557625759089115613857835062470221366716761597881812163781630580245390/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^27 + 729449999107941431273724302890752756063743389462919804415963179716734890805/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^25 + 4855798022752453854465672126222393022362697854862714080835250586082348136987/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^23 - 2425690549149270912260037831087497564782481405174769941662824794035149928293/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^21 + 3079761650846038341517553146764827174199167910526797998760725712331241685547/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^19 + 9368937721713211623004687156043146932138526269068479120909885937410574351310/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^17 + 23160423921008814664095240766764418298714647638278288478589000259780997846173/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^15 + 192405545742419182193819997283411099900766702684924024362330550340455633791595/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^13 + 107139681496239062576288947166219100347447887877801996173173162841697287823694/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^11 - 104664828802589911545241824810934769076323817664237083622578365533459908649294/3345512753922299390756846418119768482483315843121642694690479121360667354353673*a^9 - 4583689932604281033817826859104649954256306896010023528487344858675893738690/68275770488210191648098906492240173111904404961666177442662839211442190905177*a^7 - 491878932712226219737446118080494865069049566270318520423802995852294941360/1393383071187963094859161356984493328814375611462575049850262024723310018473*a^5 + 8313291996875651108587335448213093827373063656905251221607838941971945510/28436389207917614180799211367030476098252563499236225507148204586190000377*a^3 - 3663992194610980712361340700269270916817969326378523422376635638357724/11843560686346361591336614480229269511975245105887640777654395912615577*a], 1, 0,0,0,0,0, [[x^2 + 1, 1], [x^19 - x^18 - 90*x^17 + 57*x^16 + 3044*x^15 - 1124*x^14 - 51184*x^13 + 4822*x^12 + 474003*x^11 + 90110*x^10 - 2465084*x^9 - 1153239*x^8 + 6854098*x^7 + 5023125*x^6 - 8711114*x^5 - 8950277*x^4 + 2600136*x^3 + 5125792*x^2 + 1553447*x + 117649, 1]]]