/* 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^25 - 7*x^24 + 49*x^23 - 283*x^22 + 1302*x^21 - 5636*x^20 + 22809*x^19 - 80739*x^18 + 282358*x^17 - 893429*x^16 + 2621604*x^15 - 6788665*x^14 + 15933765*x^13 - 33100241*x^12 + 60008112*x^11 - 95295391*x^10 + 131154926*x^9 - 150037171*x^8 + 139788299*x^7 - 104949621*x^6 + 56076967*x^5 - 27454311*x^4 + 20655635*x^3 - 14146574*x^2 + 4203471*x - 447083, 25, 4, [1, 12], 23368375067493109808662942110693103411946589151921, [11, 239], [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, 1/17*a^14 + 5/17*a^13 - 7/17*a^12 - 1/17*a^11 - 1/17*a^10 - 5/17*a^9 - 1/17*a^6 - 5/17*a^5 + 7/17*a^4 + 1/17*a^3 + 1/17*a^2 + 5/17*a, 1/17*a^15 + 2/17*a^13 + 4/17*a^11 + 8/17*a^9 - 1/17*a^7 - 2/17*a^5 - 4/17*a^3 - 8/17*a, 1/17*a^16 + 7/17*a^13 + 1/17*a^12 + 2/17*a^11 - 7/17*a^10 - 7/17*a^9 - 1/17*a^8 - 7/17*a^5 - 1/17*a^4 - 2/17*a^3 + 7/17*a^2 + 7/17*a, 1/119*a^17 - 3/119*a^16 - 3/119*a^15 - 2/119*a^14 - 54/119*a^13 + 11/119*a^12 + 18/119*a^11 + 57/119*a^10 + 58/119*a^9 + 3/119*a^8 + 20/119*a^7 - 15/119*a^6 + 54/119*a^5 - 45/119*a^4 + 50/119*a^3 - 6/119*a^2 - 25/119*a, 1/119*a^18 + 2/119*a^16 + 3/119*a^15 + 3/119*a^14 + 52/119*a^13 - 19/119*a^12 + 13/119*a^11 - 3/7*a^10 - 5/119*a^9 + 15/119*a^8 + 31/119*a^7 - 54/119*a^6 + 33/119*a^5 - 15/119*a^4 + 4/119*a^3 - 1/119*a^2 - 12/119*a, 1/119*a^19 + 2/119*a^16 + 2/119*a^15 - 16/119*a^13 + 19/119*a^12 + 46/119*a^11 - 2/17*a^10 + 53/119*a^9 + 32/119*a^8 + 32/119*a^7 - 18/119*a^5 - 53/119*a^4 + 4/119*a^3 + 2/17*a^2 + 15/119*a, 1/29393*a^20 - 2/4199*a^19 - 5/2261*a^18 - 10/29393*a^17 + 797/29393*a^16 + 401/29393*a^15 - 565/29393*a^14 - 9993/29393*a^13 - 10429/29393*a^12 + 1179/29393*a^11 + 11714/29393*a^10 - 6618/29393*a^9 + 433/2261*a^8 + 708/2261*a^7 + 7263/29393*a^6 + 12050/29393*a^5 - 1240/4199*a^4 - 5466/29393*a^3 - 10068/29393*a^2 + 4146/29393*a + 6/19, 1/499681*a^21 + 2/499681*a^20 + 452/499681*a^19 - 2038/499681*a^18 + 125/38437*a^17 - 97/71383*a^16 - 2053/499681*a^15 + 1962/499681*a^14 - 119188/499681*a^13 - 15101/38437*a^12 + 97268/499681*a^11 - 117076/499681*a^10 - 230428/499681*a^9 - 4220/38437*a^8 - 11120/26299*a^7 + 15357/38437*a^6 + 10046/29393*a^5 + 155018/499681*a^4 + 5828/71383*a^3 - 28313/71383*a^2 - 6231/29393*a + 9/19, 1/499681*a^22 + 6/499681*a^20 - 953/499681*a^19 + 839/499681*a^18 + 491/499681*a^17 + 12344/499681*a^16 + 13582/499681*a^15 - 3551/499681*a^14 - 189324/499681*a^13 - 191228/499681*a^12 + 17806/71383*a^11 + 37095/499681*a^10 + 190300/499681*a^9 - 24422/71383*a^8 + 11599/71383*a^7 - 96342/499681*a^6 - 79140/499681*a^5 + 149334/499681*a^4 - 766/3757*a^3 - 222707/499681*a^2 + 367/4199*a - 3/19, 1/424718356699*a^23 - 2141/24983432747*a^22 - 32388/32670642823*a^21 + 523525/32670642823*a^20 + 1451038279/424718356699*a^19 + 24309496/32670642823*a^18 - 365687278/424718356699*a^17 - 40721965/424718356699*a^16 + 64940826/4667234689*a^15 + 175565508/60674050957*a^14 + 99014949361/424718356699*a^13 - 78858756512/424718356699*a^12 - 207562259935/424718356699*a^11 + 160139365682/424718356699*a^10 + 87133810018/424718356699*a^9 - 6546645438/60674050957*a^8 - 148144804447/424718356699*a^7 - 152884654180/424718356699*a^6 - 8777527503/60674050957*a^5 + 55550647744/424718356699*a^4 + 197603666941/424718356699*a^3 + 70599098690/424718356699*a^2 - 11444102875/24983432747*a - 2017682/16149601, 1/58043956543233443285184360397601563488696200534346574990140125161*a^24 - 14566734513647335813323613103488014306623148953991171/58043956543233443285184360397601563488696200534346574990140125161*a^23 - 3731760879654017932042393778630320627390805082088516600622/8291993791890491897883480056800223355528028647763796427162875023*a^22 + 1724946981466159592435982475185299027884501682026471627408/4464919734094880252706489261353966422207400041103582691549240397*a^21 - 15921105605208227998201770246963465338825169729735551535896/1095168991381763080852535101841538933748984915742388207361134437*a^20 - 81434828172518905484001264354217698322622901763515490291858201/58043956543233443285184360397601563488696200534346574990140125161*a^19 - 207179492209979293503166455908478997901258930199149776953939315/58043956543233443285184360397601563488696200534346574990140125161*a^18 - 191035788614123506268004138563604193077055549917447299640768123/58043956543233443285184360397601563488696200534346574990140125161*a^17 - 320280867844799838235868910813474174026565993524417387488635660/58043956543233443285184360397601563488696200534346574990140125161*a^16 - 539758024848933450161955097236058278030474734107380125965041084/58043956543233443285184360397601563488696200534346574990140125161*a^15 - 717307650531773427505374751087734959988833864730252638989739762/58043956543233443285184360397601563488696200534346574990140125161*a^14 + 13261197453283385961742168795382157234526686127423367067959693325/58043956543233443285184360397601563488696200534346574990140125161*a^13 + 635544890978466901174888664878450603608068368993292157118536199/8291993791890491897883480056800223355528028647763796427162875023*a^12 + 9718185329290696692800647112839368326627425549366102078054889767/58043956543233443285184360397601563488696200534346574990140125161*a^11 - 3555923268476177513203881104068122034372926496733241505650050566/8291993791890491897883480056800223355528028647763796427162875023*a^10 - 155159696032046498534574932277846171340593441787958992914170975/3054945081222812804483387389347450709931378975491924999481059219*a^9 + 1727625469265554893783393005213704456265080530148616832943499263/8291993791890491897883480056800223355528028647763796427162875023*a^8 + 28013358261651924595647156749028205108427816027935246552946163215/58043956543233443285184360397601563488696200534346574990140125161*a^7 - 6737037863713686581317068380603873900227465115400460111131948592/58043956543233443285184360397601563488696200534346574990140125161*a^6 - 4216908817732883612986885291139004388444968068511018434451968283/58043956543233443285184360397601563488696200534346574990140125161*a^5 - 6076026166491553999511831235919919215679997634882546114442673344/58043956543233443285184360397601563488696200534346574990140125161*a^4 + 26474520938618723188135346870402270283403655350378947048981994701/58043956543233443285184360397601563488696200534346574990140125161*a^3 - 28836828390787931030888763532029790241492713317667001468305188907/58043956543233443285184360397601563488696200534346574990140125161*a^2 - 1288830215862641903273195361176296853196806876412214106576299696/3414350384896084899128491788094209616982129443196857352361183833*a + 29032500259544950602264032165884740088660396509727200599421/129828144982550093126297265603034701584932105524805405238267], 0, 5, [5], 1, [ (2081669120737491367127680172321332905406380538491273108)/(2099011193839129327204439315719869941369695893188680251334037)*a^(24) - (13450844130056084135392348955728311870441345541299485959)/(2099011193839129327204439315719869941369695893188680251334037)*a^(23) + (95228756547531404273132816909883316507202767669579045011)/(2099011193839129327204439315719869941369695893188680251334037)*a^(22) - (41584507785726168663235769314248170625155746191235497266)/(161462399526086871323418408901528457028438145629898480871849)*a^(21) + (46015282764658776217177538955643750424984030517495024552)/(39603984789417534475555458787167357384333884777144910402529)*a^(20) - (10528189020274050254045992187318182951926812472606413162117)/(2099011193839129327204439315719869941369695893188680251334037)*a^(19) + (6041254112580363631993799883340984250869267162864882485315)/(299858741977018475314919902245695705909956556169811464476291)*a^(18) - (147348734828657126433239486323693231563934996968680311000961)/(2099011193839129327204439315719869941369695893188680251334037)*a^(17) + (516598978208888890101368908381056832776403405220109113459913)/(2099011193839129327204439315719869941369695893188680251334037)*a^(16) - (1609427790145704440443914110315277586386368968503879346660513)/(2099011193839129327204439315719869941369695893188680251334037)*a^(15) + (4688408136272343629803285859317233598902706713756928385603724)/(2099011193839129327204439315719869941369695893188680251334037)*a^(14) - (11906103452402352907995313665260226480711604585959511157021674)/(2099011193839129327204439315719869941369695893188680251334037)*a^(13) + (27616925353434801775873919542077767308278811423917733748712350)/(2099011193839129327204439315719869941369695893188680251334037)*a^(12) - (8022641562324334451775885454613045360605511840416433519944928)/(299858741977018475314919902245695705909956556169811464476291)*a^(11) + (99539994817611611657365953777919016029300378523169870662651060)/(2099011193839129327204439315719869941369695893188680251334037)*a^(10) - (1161629805791791952201646460100551662678594835501840907111124)/(15782039051422025016574731697141879258418766114200603393489)*a^(9) + (206752221849388407752413012872803320998941539052598459321250884)/(2099011193839129327204439315719869941369695893188680251334037)*a^(8) - (227135749419907518636512392066083042474848384012828238487581007)/(2099011193839129327204439315719869941369695893188680251334037)*a^(7) + (203750527050366227443140215223302365535359641195124299996210859)/(2099011193839129327204439315719869941369695893188680251334037)*a^(6) - (147292333543019951484834499812996597578078559425093444753627527)/(2099011193839129327204439315719869941369695893188680251334037)*a^(5) + (3846270956132132485381848262562433466451546878114298415999581)/(110474273359954175116023121879993154808931362799404223754423)*a^(4) - (45673245625446550456901734295403750401435758997798864046373216)/(2099011193839129327204439315719869941369695893188680251334037)*a^(3) + (33082593802629623705782266047213856117073896236225607995737846)/(2099011193839129327204439315719869941369695893188680251334037)*a^(2) - (1322301705221297633190346497362491310393154068103772157346273)/(123471246696419372188496430336462937727629170187569426549061)*a + (10121279562575376113549193884042223081064121464688138686)/(4694902722400827871344782323908245094019893158963056639) , (10460131584570664634723316783564520163133237820216629254)/(2099011193839129327204439315719869941369695893188680251334037)*a^(24) - (70287852869508023961707444210473027642214681750551880799)/(2099011193839129327204439315719869941369695893188680251334037)*a^(23) + (492867778904418331303567252736552882885915445532509912008)/(2099011193839129327204439315719869941369695893188680251334037)*a^(22) - (217087103027857945326291022309590048740404132885668262909)/(161462399526086871323418408901528457028438145629898480871849)*a^(21) + (242046135824766097692034206177697347235537440367303489220)/(39603984789417534475555458787167357384333884777144910402529)*a^(20) - (7908557036514806572754626187665120392902664441273574142627)/(299858741977018475314919902245695705909956556169811464476291)*a^(19) + (223073314299035508548539206268198256317811952841457597432098)/(2099011193839129327204439315719869941369695893188680251334037)*a^(18) - (782034392024175826255912750965366853749269532977568822026975)/(2099011193839129327204439315719869941369695893188680251334037)*a^(17) + (2734395438000796875105118997984103892078264692588620287124025)/(2099011193839129327204439315719869941369695893188680251334037)*a^(16) - (1225579255223606182825396261904375442026383175947333869486095)/(299858741977018475314919902245695705909956556169811464476291)*a^(15) + (25018229220963493544843106646148032107073299327305511448299402)/(2099011193839129327204439315719869941369695893188680251334037)*a^(14) - (63999059387797269658726883277009370983539140664858674395423348)/(2099011193839129327204439315719869941369695893188680251334037)*a^(13) + (148730205014362290900220204077415799116789908202755414889805017)/(2099011193839129327204439315719869941369695893188680251334037)*a^(12) - (304534220550178319961743955583723700971320236451153741695381354)/(2099011193839129327204439315719869941369695893188680251334037)*a^(11) + (77472174144446468243806020519220325441126506376304028225349369)/(299858741977018475314919902245695705909956556169811464476291)*a^(10) - (120682086109117842164617344218666671265069533530419326711518174)/(299858741977018475314919902245695705909956556169811464476291)*a^(9) + (1135066355922782494325741954155959000785586483056801024854601009)/(2099011193839129327204439315719869941369695893188680251334037)*a^(8) - (1251345033980873803464253743735010884486111208972181475483651184)/(2099011193839129327204439315719869941369695893188680251334037)*a^(7) + (1111980272838751177686625813574850094734631383149132836950859107)/(2099011193839129327204439315719869941369695893188680251334037)*a^(6) - (786853972500143130586217377204876873262074839196634390721684904)/(2099011193839129327204439315719869941369695893188680251334037)*a^(5) + (366644109239440515474063499131910369511478425102930907247216236)/(2099011193839129327204439315719869941369695893188680251334037)*a^(4) - (185378822565355262698908380999859878845768837779523724693823074)/(2099011193839129327204439315719869941369695893188680251334037)*a^(3) + (164833918994219353242031721858264591645459885324884863704407570)/(2099011193839129327204439315719869941369695893188680251334037)*a^(2) - (6058419066804413072707379461368297574535819197219840531818541)/(123471246696419372188496430336462937727629170187569426549061)*a + (39644163377423773365763373248580593092573488769790956659)/(4694902722400827871344782323908245094019893158963056639) , (10007629707184049024338416070149001124100048406751592082838)/(58043956543233443285184360397601563488696200534346574990140125161)*a^(24) - (326295094326450120636818094322982280267272188838672803104041)/(58043956543233443285184360397601563488696200534346574990140125161)*a^(23) + (2282952755691594775474647795776017261234869650965391549570913)/(58043956543233443285184360397601563488696200534346574990140125161)*a^(22) - (1182429886832792407745510467692043916093175856477071180453994)/(4464919734094880252706489261353966422207400041103582691549240397)*a^(21) + (1611689450714433288069265866899434029472087460578236689261941)/(1095168991381763080852535101841538933748984915742388207361134437)*a^(20) - (389135207217241919061053980299810116606709029303443488223025424)/(58043956543233443285184360397601563488696200534346574990140125161)*a^(19) + (1667310846069226816081101598269876776835812051457650187700114693)/(58043956543233443285184360397601563488696200534346574990140125161)*a^(18) - 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