/* 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 - x^27 + 14*x^26 - 11*x^25 + 115*x^24 - 79*x^23 + 617*x^22 - 353*x^21 + 2421*x^20 - 1188*x^19 + 7015*x^18 - 2803*x^17 + 15415*x^16 - 5107*x^15 + 25195*x^14 - 6334*x^13 + 30532*x^12 - 6088*x^11 + 26057*x^10 - 3239*x^9 + 15207*x^8 - 1590*x^7 + 5362*x^6 - 70*x^5 + 1050*x^4 - 84*x^3 + 77*x^2 + 7*x + 1, 28, 2, [0, 14], 503553375386417026489977159144851919778199649, [3, 29], [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, 1/17*a^26 + 6/17*a^25 + 8/17*a^24 - 5/17*a^23 + 2/17*a^22 + 5/17*a^21 - 5/17*a^20 + 1/17*a^19 - 1/17*a^18 - 2/17*a^17 - 6/17*a^16 + 5/17*a^15 - 4/17*a^14 - 3/17*a^13 + 2/17*a^12 - 5/17*a^11 + 5/17*a^10 + 1/17*a^9 + 1/17*a^8 + 1/17*a^7 + 2/17*a^6 + 8/17*a^5 + 1/17*a^4 - 5/17*a^3 - 2/17*a^2 + 6/17*a - 6/17, 1/3895907347685506947339847625632831500841*a^27 + 94974196297919567674530297273816680935/3895907347685506947339847625632831500841*a^26 - 1757113464741665998113530038316256390903/3895907347685506947339847625632831500841*a^25 + 24578954983254063362995042355463027681/3895907347685506947339847625632831500841*a^24 - 307144181563506270526384407919579491408/3895907347685506947339847625632831500841*a^23 + 424237376936331706001988848616728841772/3895907347685506947339847625632831500841*a^22 - 1088401692781031861288783548562989117133/3895907347685506947339847625632831500841*a^21 - 1802550801714419401257485572078452070133/3895907347685506947339847625632831500841*a^20 + 687727648764306980147201738082910313485/3895907347685506947339847625632831500841*a^19 - 1535578479753183437920119565859459594718/3895907347685506947339847625632831500841*a^18 + 155154103626356511406811380802035561606/3895907347685506947339847625632831500841*a^17 - 1778103150074836056109172676602648103048/3895907347685506947339847625632831500841*a^16 - 1538325354226302230179671647617129862406/3895907347685506947339847625632831500841*a^15 - 1818183532261965231037310205997831490806/3895907347685506947339847625632831500841*a^14 - 1572084019506622842671319022828475296847/3895907347685506947339847625632831500841*a^13 - 516485973011675242874436686084477689569/3895907347685506947339847625632831500841*a^12 + 1725074057080875135854069638030427506029/3895907347685506947339847625632831500841*a^11 - 36375549898676541406401752818992323114/3895907347685506947339847625632831500841*a^10 + 1406999444225789946382404844468854014208/3895907347685506947339847625632831500841*a^9 + 752043549368866031985994752216068354425/3895907347685506947339847625632831500841*a^8 - 296748472292101331385986882560244289680/3895907347685506947339847625632831500841*a^7 - 83384469760869518667619088021452574201/229171020452088643961167507390166558873*a^6 + 810715063244245183211705340945781853939/3895907347685506947339847625632831500841*a^5 + 250897107727719820246953299519325099740/3895907347685506947339847625632831500841*a^4 + 912927810758554317674830797681254603670/3895907347685506947339847625632831500841*a^3 - 989103005516448858452844619781883190451/3895907347685506947339847625632831500841*a^2 + 1427458978851209173918301073010047240985/3895907347685506947339847625632831500841*a - 687849409610446700814666501434686311070/3895907347685506947339847625632831500841], 1, 192, [4, 4, 12], 1, [ (476875925319524416949903132889941600444)/(3895907347685506947339847625632831500841)*a^(27) - (464875386872696630068439648251180809305)/(3895907347685506947339847625632831500841)*a^(26) + (6693802915907202611475572874215798336944)/(3895907347685506947339847625632831500841)*a^(25) - (5092880268300901334861821688641971597352)/(3895907347685506947339847625632831500841)*a^(24) + (55110742496415225165130097307604804847465)/(3895907347685506947339847625632831500841)*a^(23) - (36419472033317008275702267827880661994618)/(3895907347685506947339847625632831500841)*a^(22) + (296557565120466886583048564409435615901042)/(3895907347685506947339847625632831500841)*a^(21) - (161641318596137566450819936639462948943068)/(3895907347685506947339847625632831500841)*a^(20) + (1167627761204809482956937556464127967642670)/(3895907347685506947339847625632831500841)*a^(19) - (539241705534667757174164337884105115717766)/(3895907347685506947339847625632831500841)*a^(18) + (3398666975011074572775915942410893066432169)/(3895907347685506947339847625632831500841)*a^(17) - (1253880463185422991640817466052195636403558)/(3895907347685506947339847625632831500841)*a^(16) + (7511561176225105449507665134872514180668644)/(3895907347685506947339847625632831500841)*a^(15) - (2236849423335657276566559750852253334755860)/(3895907347685506947339847625632831500841)*a^(14) + (12377515984025015820061571380823782471083212)/(3895907347685506947339847625632831500841)*a^(13) - (2661404760208211008149104129128452625149488)/(3895907347685506947339847625632831500841)*a^(12) + (15167301156394195215980945895365175084203779)/(3895907347685506947339847625632831500841)*a^(11) - (2395906159903525362923631173296452220720544)/(3895907347685506947339847625632831500841)*a^(10) + (13167922636129899492727661376628158973496890)/(3895907347685506947339847625632831500841)*a^(9) - (1035080630790521924954293764371977321972991)/(3895907347685506947339847625632831500841)*a^(8) + (7877556078461678657933082346989762601642422)/(3895907347685506947339847625632831500841)*a^(7) - (22413466367865651911711374553046800099970)/(229171020452088643961167507390166558873)*a^(6) + (2898104373105857051685176369310669588752661)/(3895907347685506947339847625632831500841)*a^(5) + (126067926176941670435563900516974434173906)/(3895907347685506947339847625632831500841)*a^(4) + (597517225223234260485579420160989835215012)/(3895907347685506947339847625632831500841)*a^(3) + (2975321194462738505841837196876323723718)/(3895907347685506947339847625632831500841)*a^(2) + (47134384482132522682359767988179603891920)/(3895907347685506947339847625632831500841)*a + (4364374716768416934551213561082523376102)/(3895907347685506947339847625632831500841) , (384428356375175432842564447720003571)/(3895907347685506947339847625632831500841)*a^(27) - (4161721117574005459357190294315609638)/(3895907347685506947339847625632831500841)*a^(26) + (9731867192266854205139205541140668179)/(3895907347685506947339847625632831500841)*a^(25) - (3300726111535013604869868140900613997)/(229171020452088643961167507390166558873)*a^(24) + (91920978608175347520832298594404851176)/(3895907347685506947339847625632831500841)*a^(23) - (449830614180290894722605937185692097442)/(3895907347685506947339847625632831500841)*a^(22) + (581588255219810722731031912517501502391)/(3895907347685506947339847625632831500841)*a^(21) - (137752360279931387894748462036894655314)/(229171020452088643961167507390166558873)*a^(20) + (2475575966939590530871652958589725631137)/(3895907347685506947339847625632831500841)*a^(19) - (8923271608364202859554767810395462940372)/(3895907347685506947339847625632831500841)*a^(18) + (7948318197917433235668006463475544347033)/(3895907347685506947339847625632831500841)*a^(17) - (24923017440282420738731379569062958847512)/(3895907347685506947339847625632831500841)*a^(16) + (18452439725845178620075112126056272595340)/(3895907347685506947339847625632831500841)*a^(15) - (52573460130962709850575557102733116311856)/(3895907347685506947339847625632831500841)*a^(14) + (33021469661642556067355590728921528718541)/(3895907347685506947339847625632831500841)*a^(13) - (81337723244954812033352651644297160105306)/(3895907347685506947339847625632831500841)*a^(12) + (41475419152243858487731008119189736895841)/(3895907347685506947339847625632831500841)*a^(11) - (92169352852008335877430008181613676317191)/(3895907347685506947339847625632831500841)*a^(10) + (40494844586602912649711724722685320501953)/(3895907347685506947339847625632831500841)*a^(9) - (71045668522820709155101606870202212603332)/(3895907347685506947339847625632831500841)*a^(8) + (23536156083795908808787854917604537798630)/(3895907347685506947339847625632831500841)*a^(7) - (36159383114676452860047315444425681041280)/(3895907347685506947339847625632831500841)*a^(6) + (14553491781574744624759303019701982390246)/(3895907347685506947339847625632831500841)*a^(5) - (9806815922872157832400235598352319349321)/(3895907347685506947339847625632831500841)*a^(4) + (3883301935883154378875807615952536753823)/(3895907347685506947339847625632831500841)*a^(3) - (1280567238946457877735196761596840768116)/(3895907347685506947339847625632831500841)*a^(2) + (11517788720989083041527031744687407218218)/(3895907347685506947339847625632831500841)*a - (19669719447235437098491680748942341821)/(3895907347685506947339847625632831500841) , (61883976647369650009448529677698394762)/(3895907347685506947339847625632831500841)*a^(27) - (9327862295259813774693671141176972324)/(229171020452088643961167507390166558873)*a^(26) + (976609579934896615717723670352756451798)/(3895907347685506947339847625632831500841)*a^(25) - (2030506253153986954321567851006360632776)/(3895907347685506947339847625632831500841)*a^(24) + (8356537427590938814239170442109891308395)/(3895907347685506947339847625632831500841)*a^(23) - (15915289530044492445725650754692513195874)/(3895907347685506947339847625632831500841)*a^(22) + (47240876253497345271758137953643032153307)/(3895907347685506947339847625632831500841)*a^(21) - (80592945180349237509685016197378270780675)/(3895907347685506947339847625632831500841)*a^(20) + (191377047965650025998500948072214110345210)/(3895907347685506947339847625632831500841)*a^(19) - (301823774686304510654188794695687121938256)/(3895907347685506947339847625632831500841)*a^(18) + (577993904800473572637207680829140864065952)/(3895907347685506947339847625632831500841)*a^(17) - (826620037701035671772642095103131336229119)/(3895907347685506947339847625632831500841)*a^(16) + (76985869908905741468321594263555603938865)/(229171020452088643961167507390166558873)*a^(15) - (1726155975798427858769984313342909947965315)/(3895907347685506947339847625632831500841)*a^(14) + (2240884271179060828281592876869766656906308)/(3895907347685506947339847625632831500841)*a^(13) - (155316141875077113009580551728518614100701)/(229171020452088643961167507390166558873)*a^(12) + (2817948316315977946291463960560906451552004)/(3895907347685506947339847625632831500841)*a^(11) - (3003564950110400711593965994655209054765656)/(3895907347685506947339847625632831500841)*a^(10) + (2611342208720388266473233488979651792690156)/(3895907347685506947339847625632831500841)*a^(9) - (2319786908754177406888184793100494040960403)/(3895907347685506947339847625632831500841)*a^(8) + (1635158259244507601279741042457688434679324)/(3895907347685506947339847625632831500841)*a^(7) - (1224967425174226233480624293387210660864649)/(3895907347685506947339847625632831500841)*a^(6) + (744679205117875103853463715448826005414812)/(3895907347685506947339847625632831500841)*a^(5) - (339695020241053766068547803545483421576808)/(3895907347685506947339847625632831500841)*a^(4) + (174578343132625216289805410436841736302088)/(3895907347685506947339847625632831500841)*a^(3) - (50573296040886542223798123494581829324025)/(3895907347685506947339847625632831500841)*a^(2) + (35438350973624397958240061630274273789432)/(3895907347685506947339847625632831500841)*a - (801537394995694834188017214262830107267)/(3895907347685506947339847625632831500841) , (590090234803699624474221059718414182826)/(3895907347685506947339847625632831500841)*a^(27) - (372301186756087509888411108263609613912)/(3895907347685506947339847625632831500841)*a^(26) + (8051467171936195099605414795138335771595)/(3895907347685506947339847625632831500841)*a^(25) - (3462630242533149530497073566937829705270)/(3895907347685506947339847625632831500841)*a^(24) + (65583404604771133344176799938041432158315)/(3895907347685506947339847625632831500841)*a^(23) - 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