/* 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 - 12*x^27 + 74*x^26 - 288*x^25 + 773*x^24 - 1407*x^23 + 1601*x^22 - 676*x^21 - 794*x^20 + 2173*x^19 - 6644*x^18 + 23336*x^17 - 53512*x^16 + 82551*x^15 - 80880*x^14 + 23133*x^13 + 117766*x^12 - 327568*x^11 + 536090*x^10 - 646700*x^9 + 621936*x^8 - 488735*x^7 + 317878*x^6 - 166984*x^5 + 68952*x^4 - 21502*x^3 + 5711*x^2 - 1133*x + 193, 28, 10, [0, 14], 1923732503543401200540313355166872100640336877, [43, 53], [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, 1/7*a^20 + 3/7*a^19 + 3/7*a^18 + 3/7*a^17 + 3/7*a^16 - 2/7*a^15 - 3/7*a^13 - 2/7*a^12 + 1/7*a^11 - 1/7*a^10 + 3/7*a^9 + 2/7*a^8 + 1/7*a^7 - 3/7*a^6 - 3/7*a^5 + 1/7*a^4 + 2/7*a^3 - 3/7*a^2 - 2/7*a - 2/7, 1/7*a^21 + 1/7*a^19 + 1/7*a^18 + 1/7*a^17 + 3/7*a^16 - 1/7*a^15 - 3/7*a^14 + 3/7*a^11 - 1/7*a^10 + 2/7*a^8 + 1/7*a^7 - 1/7*a^6 + 3/7*a^5 - 1/7*a^4 - 2/7*a^3 - 3/7*a - 1/7, 1/7*a^22 - 2/7*a^19 - 2/7*a^18 + 3/7*a^16 - 1/7*a^15 + 3/7*a^13 - 2/7*a^12 - 2/7*a^11 + 1/7*a^10 - 1/7*a^9 - 1/7*a^8 - 2/7*a^7 - 1/7*a^6 + 2/7*a^5 - 3/7*a^4 - 2/7*a^3 + 1/7*a + 2/7, 1/371*a^23 - 19/371*a^22 - 3/53*a^21 + 8/371*a^20 - 172/371*a^19 - 72/371*a^18 + 40/371*a^17 + 3/53*a^16 + 111/371*a^15 + 136/371*a^14 + 44/371*a^13 - 96/371*a^12 - 19/53*a^11 + 47/371*a^10 + 146/371*a^9 + 163/371*a^8 + 103/371*a^7 + 131/371*a^6 + 13/371*a^5 + 135/371*a^4 + 163/371*a^3 - 127/371*a^2 - 65/371*a - 93/371, 1/2597*a^24 - 2/2597*a^23 + 80/2597*a^22 + 128/2597*a^21 + 176/2597*a^20 - 876/2597*a^19 - 177/2597*a^18 - 412/2597*a^17 + 468/2597*a^16 - 415/2597*a^15 + 1296/2597*a^14 - 81/371*a^13 - 440/2597*a^12 + 436/2597*a^11 - 433/2597*a^10 - 482/2597*a^9 + 489/2597*a^8 - 874/2597*a^7 + 703/2597*a^6 - 969/2597*a^5 - 563/2597*a^4 + 153/2597*a^3 - 263/2597*a^2 + 339/2597*a - 1263/2597, 1/2597*a^25 - 1/2597*a^23 - 104/2597*a^22 - 177/2597*a^21 - 27/2597*a^20 + 556/2597*a^19 - 787/2597*a^18 + 274/2597*a^17 + 388/2597*a^16 - 1032/2597*a^15 + 828/2597*a^14 - 881/2597*a^13 + 641/2597*a^12 + 1034/2597*a^11 - 515/2597*a^10 + 1268/2597*a^9 + 167/2597*a^8 - 1185/2597*a^7 - 1117/2597*a^6 + 950/2597*a^5 + 19/371*a^4 + 9/49*a^3 + 1059/2597*a^2 - 774/2597*a + 925/2597, 1/17979031*a^26 - 166/2568433*a^25 - 709/17979031*a^24 + 957/781697*a^23 - 162853/17979031*a^22 - 1160055/17979031*a^21 - 1221526/17979031*a^20 + 2436201/17979031*a^19 - 2734302/17979031*a^18 - 2754855/17979031*a^17 + 4849983/17979031*a^16 - 1811666/17979031*a^15 - 8/2568433*a^14 + 4179382/17979031*a^13 - 8048323/17979031*a^12 + 5315381/17979031*a^11 - 395497/2568433*a^10 + 312464/17979031*a^9 - 2424409/17979031*a^8 - 8946880/17979031*a^7 + 6887253/17979031*a^6 + 863936/17979031*a^5 + 326678/781697*a^4 + 3390761/17979031*a^3 + 12603/59731*a^2 - 8732278/17979031*a - 2330374/17979031, 1/615518663136640948199250770635903489437240592847*a^27 + 8331027850140854056708474856588623159476/615518663136640948199250770635903489437240592847*a^26 - 44188593237243918795441882229418513252409466/615518663136640948199250770635903489437240592847*a^25 - 6595093562231907922835763816195762977389345/87931237590948706885607252947986212776748656121*a^24 + 11651822428737709333460130870522517954146726/11613559681823414116966995672375537536551709299*a^23 - 15171220627885975314959933088589404146817053834/615518663136640948199250770635903489437240592847*a^22 - 15185620733117072305933268703888728500770030414/615518663136640948199250770635903489437240592847*a^21 + 28773566776874405887153350323122233923021168556/615518663136640948199250770635903489437240592847*a^20 - 6069315318782191245522114360990188444620173702/12561605370135529555086750421140887539535522303*a^19 + 31922588785346845076239546482656489479258580300/615518663136640948199250770635903489437240592847*a^18 + 1994615116372558285491699603161224505063379708/19855440746343256393524218407609789981846470737*a^17 - 289734478915455870307056073345521208305426624841/615518663136640948199250770635903489437240592847*a^16 + 95790011893026361179691019276008588807705819214/615518663136640948199250770635903489437240592847*a^15 - 16861327438320004945518205451553667120571611213/615518663136640948199250770635903489437240592847*a^14 + 171955674354031904870769664115988205230078927961/615518663136640948199250770635903489437240592847*a^13 + 29080744131601035545881789970437607437319956377/87931237590948706885607252947986212776748656121*a^12 - 73653410184302212373059955353590816987483639220/615518663136640948199250770635903489437240592847*a^11 - 121046836633973624073025302375675534897695153379/615518663136640948199250770635903489437240592847*a^10 - 154236664733222941224952642281084436392038941095/615518663136640948199250770635903489437240592847*a^9 + 128105986289056202512498213548104415379511648658/615518663136640948199250770635903489437240592847*a^8 + 245194515113471411329482992024445492977691055962/615518663136640948199250770635903489437240592847*a^7 + 1629240195043485151563805071520926955325988659/26761681005940910791271772636343629975532199689*a^6 - 116528743250765722088132889158088792419874046841/615518663136640948199250770635903489437240592847*a^5 - 271960484478823424584275716605543239605648728395/615518663136640948199250770635903489437240592847*a^4 + 193054928828723969493181151690572869421362962085/615518663136640948199250770635903489437240592847*a^3 - 98141900283845647559262841369666139644490733829/615518663136640948199250770635903489437240592847*a^2 + 739118940701361655857273465912593485797576065/1794515052876504222155250060162983934219360329*a - 269578715783894575356818332355757453292888303209/615518663136640948199250770635903489437240592847], 0, 3, [3], 1, [ (105431899427537747872743030274)/(20593047221917444081557090217093)*a^(27) - (1213369931186613991659492080885)/(20593047221917444081557090217093)*a^(26) + (7186067181040392500552071596633)/(20593047221917444081557090217093)*a^(25) - (3801704551689703628075628344994)/(2941863888845349154508155745299)*a^(24) + (67118006396756471704211692722510)/(20593047221917444081557090217093)*a^(23) - (110516358878237315323911161979162)/(20593047221917444081557090217093)*a^(22) + (102030018082882456119903105059558)/(20593047221917444081557090217093)*a^(21) + (302699916947439361487219489873)/(20593047221917444081557090217093)*a^(20) - (15178869910407344008228916448710)/(2941863888845349154508155745299)*a^(19) + (183792832792978511917526253016165)/(20593047221917444081557090217093)*a^(18) - (596544885482002917798598807683391)/(20593047221917444081557090217093)*a^(17) + (2129871775451738198828248985128953)/(20593047221917444081557090217093)*a^(16) - (4480590731535763832892742869111217)/(20593047221917444081557090217093)*a^(15) + (6112561086374445973931455064271934)/(20593047221917444081557090217093)*a^(14) - (4692977599498569218482840964810295)/(20593047221917444081557090217093)*a^(13) - (159339736277927193879922616032965)/(2941863888845349154508155745299)*a^(12) + (12990042839549856192984671565089302)/(20593047221917444081557090217093)*a^(11) - (28307068201044768585710431897157944)/(20593047221917444081557090217093)*a^(10) + (40469469878881531740432552897869398)/(20593047221917444081557090217093)*a^(9) - (43099699612557225889907246318534196)/(20593047221917444081557090217093)*a^(8) + (36213109589132768926498358942898869)/(20593047221917444081557090217093)*a^(7) - (24257690167007173192121322320785440)/(20593047221917444081557090217093)*a^(6) + (12808439419989417722328943644348822)/(20593047221917444081557090217093)*a^(5) - (4761028066498848327115090823936781)/(20593047221917444081557090217093)*a^(4) + (884089606661968041067623707659287)/(20593047221917444081557090217093)*a^(3) + (145720748472228974034070885603966)/(20593047221917444081557090217093)*a^(2) - (13670196818923062786281729193271)/(2941863888845349154508155745299)*a + (21721059489407657667222506617392)/(20593047221917444081557090217093) , (1886703666194212661639964495349813524124245096)/(615518663136640948199250770635903489437240592847)*a^(27) - (21040819159285433269491664867517481522807227227)/(615518663136640948199250770635903489437240592847)*a^(26) + (119724426942342556751791349236227768615205567099)/(615518663136640948199250770635903489437240592847)*a^(25) - (59800749735295931079219253236371318690968057785)/(87931237590948706885607252947986212776748656121)*a^(24) + (967598925792334155640576628097852091887014824852)/(615518663136640948199250770635903489437240592847)*a^(23) - (1338555038240370300767446660636635953198645950720)/(615518663136640948199250770635903489437240592847)*a^(22) + (28541691687195781115349765754805101899795334068)/(26761681005940910791271772636343629975532199689)*a^(21) + (1256157646757254643567013672669309893410962104680)/(615518663136640948199250770635903489437240592847)*a^(20) - (311535789010859608812600808525139320909098769300)/(87931237590948706885607252947986212776748656121)*a^(19) + (92920745573605302243055072756361856597873927995)/(26761681005940910791271772636343629975532199689)*a^(18) - (286874497781305563095192894121563882510637319839)/(19855440746343256393524218407609789981846470737)*a^(17) + (33292499584533356908631872609014588003997289129751)/(615518663136640948199250770635903489437240592847)*a^(16) - (61506347746653154746802285809898899960135847792182)/(615518663136640948199250770635903489437240592847)*a^(15) + (63803612114427811235650705039664913181216716753673)/(615518663136640948199250770635903489437240592847)*a^(14) - (17446256555231895217831177984275447647509407045334)/(615518663136640948199250770635903489437240592847)*a^(13) - (11294068284236311773822129157134234071080475826841)/(87931237590948706885607252947986212776748656121)*a^(12) + (235239477041263659336268271201836628373294183174651)/(615518663136640948199250770635903489437240592847)*a^(11) - (394319470966677175331628609619602910682366367553718)/(615518663136640948199250770635903489437240592847)*a^(10) + (438976599867815935136058973211284547148826510889421)/(615518663136640948199250770635903489437240592847)*a^(9) - (339907629070427886797346571065324889235123362754995)/(615518663136640948199250770635903489437240592847)*a^(8) + (7312041819765269416717198645042910408377019867049)/(26761681005940910791271772636343629975532199689)*a^(7) - (18845325669390587067407145776099067506896142804436)/(615518663136640948199250770635903489437240592847)*a^(6) - (61277056110631177727718224870281252381689238118569)/(615518663136640948199250770635903489437240592847)*a^(5) + (75494353749686277406642224255232877327280858955471)/(615518663136640948199250770635903489437240592847)*a^(4) - (51061153955000455478791557536473205406792073319338)/(615518663136640948199250770635903489437240592847)*a^(3) + (18703494258922892336519630662952053162107110308964)/(615518663136640948199250770635903489437240592847)*a^(2) - (469485718287503643579447587920873256159404483811)/(87931237590948706885607252947986212776748656121)*a + (1274100796256336921743160945592988433585442452005)/(615518663136640948199250770635903489437240592847) , (260562406437185721832905096146979581191554)/(432550009231652106956606304030852768402839489)*a^(27) - (7507812174487487955923188503413933756033414)/(432550009231652106956606304030852768402839489)*a^(26) + (64132007672939611957790138668155387138023630)/(432550009231652106956606304030852768402839489)*a^(25) - (45006030365966355196135921957119985007920638)/(61792858461664586708086614861550395486119927)*a^(24) + (986537058233173003410426554413557356680043680)/(432550009231652106956606304030852768402839489)*a^(23) - (2077852641712462698658379627620851561520671880)/(432550009231652106956606304030852768402839489)*a^(22) + (2591114650400802321141939432258565358834817012)/(432550009231652106956606304030852768402839489)*a^(21) - (1177244246472414433604647814188963925914251662)/(432550009231652106956606304030852768402839489)*a^(20) - (277182032801722560807213518346582907532699892)/(61792858461664586708086614861550395486119927)*a^(19) + (2651258173783206738850339826306564868431806596)/(432550009231652106956606304030852768402839489)*a^(18) - (186095766254217152229240183417350977054778357)/(13953226104246842159890525936479121561381919)*a^(17) + (25227900999595644483211854814337634496060837488)/(432550009231652106956606304030852768402839489)*a^(16) - (77176460597131687696131800317980715811960928101)/(432550009231652106956606304030852768402839489)*a^(15) + (121115675462896465053252342718107747051507002555)/(432550009231652106956606304030852768402839489)*a^(14) - (128794835202745684576176818776782230341819355527)/(432550009231652106956606304030852768402839489)*a^(13) + (810603821624188762893352534309694559803789301)/(8827551208809226672583802123078627926588561)*a^(12) + (137441807870240837353949245525289593543014783761)/(432550009231652106956606304030852768402839489)*a^(11) - (476725950848667783477664205057903468335370977532)/(432550009231652106956606304030852768402839489)*a^(10) + (767054334530541849948242181682113722020734608610)/(432550009231652106956606304030852768402839489)*a^(9) - (927347061522459790820463655277914353596671249573)/(432550009231652106956606304030852768402839489)*a^(8) + (833738890144918384903552196421614988614796267586)/(432550009231652106956606304030852768402839489)*a^(7) - (636415023062539826523146307239931168712219495423)/(432550009231652106956606304030852768402839489)*a^(6) + (369239634195700501104403797646457132195245950974)/(432550009231652106956606304030852768402839489)*a^(5) - (186605187145361213370348534594503536126258324925)/(432550009231652106956606304030852768402839489)*a^(4) + (54642727997058436870925457155230941843029372842)/(432550009231652106956606304030852768402839489)*a^(3) - (20256032623400179810022508192675379468791538907)/(432550009231652106956606304030852768402839489)*a^(2) + (582524244856668511834230620378930777450194378)/(61792858461664586708086614861550395486119927)*a - (1766463227984358849195334829703204903002556933)/(432550009231652106956606304030852768402839489) , (985905555674674910597006111599191391661630825)/(615518663136640948199250770635903489437240592847)*a^(27) - 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