/* 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^20 - 83*x^18 - 108*x^17 + 2380*x^16 + 5760*x^15 - 27524*x^14 - 103968*x^13 + 77348*x^12 + 735960*x^11 + 616108*x^10 - 1615050*x^9 - 3200232*x^8 - 714960*x^7 + 2411685*x^6 + 1666554*x^5 - 423490*x^4 - 635688*x^3 - 65073*x^2 + 67764*x + 15313, 20, 28, [20, 0], 516853980088694624404163683037236690944, [2, 3, 7, 11, 13], [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, 1/13*a^16 + 4/13*a^14 + 5/13*a^13 - 1/13*a^12 + 4/13*a^11 - 2/13*a^10 - 1/13*a^9 + 2/13*a^8 - 6/13*a^7 + 6/13*a^6 - 6/13*a^5 + 6/13*a^4 - 5/13*a^3 - 4/13*a^2 - 4/13*a + 1/13, 1/13*a^17 + 4/13*a^15 + 5/13*a^14 - 1/13*a^13 + 4/13*a^12 - 2/13*a^11 - 1/13*a^10 + 2/13*a^9 - 6/13*a^8 + 6/13*a^7 - 6/13*a^6 + 6/13*a^5 - 5/13*a^4 - 4/13*a^3 - 4/13*a^2 + 1/13*a, 1/46657*a^18 - 1465/46657*a^17 + 1280/46657*a^16 - 13122/46657*a^15 + 10739/46657*a^14 - 4878/46657*a^13 + 3158/46657*a^12 + 1845/46657*a^11 + 18363/46657*a^10 + 434/3589*a^9 + 155/46657*a^8 + 16815/46657*a^7 - 2463/46657*a^6 - 10874/46657*a^5 - 13194/46657*a^4 - 16202/46657*a^3 + 3045/46657*a^2 - 9260/46657*a + 12859/46657, 1/4938054874973657968018430322951439661*a^19 + 34122508535139623971776275875247/4938054874973657968018430322951439661*a^18 + 167276376025805321371551776392496702/4938054874973657968018430322951439661*a^17 - 109475722373952048649846957199102901/4938054874973657968018430322951439661*a^16 + 1435090721138362844448775909258571687/4938054874973657968018430322951439661*a^15 + 458460882376750745963573474567843393/4938054874973657968018430322951439661*a^14 - 41853877883287845409581717769965441/4938054874973657968018430322951439661*a^13 + 1258673070213887994607462880374400332/4938054874973657968018430322951439661*a^12 - 758386664210926556909070064627885625/4938054874973657968018430322951439661*a^11 + 134660759285777868943126564164360344/4938054874973657968018430322951439661*a^10 - 537801097085166334859874970016715488/4938054874973657968018430322951439661*a^9 - 1952214657477221470121535378318062869/4938054874973657968018430322951439661*a^8 - 1010069098236664528229873437587448553/4938054874973657968018430322951439661*a^7 + 4056032273123034811562044653461787/379850374997973689847571563303956897*a^6 + 1513926540270078002812618523133118856/4938054874973657968018430322951439661*a^5 + 308336248766799185824237608355793003/4938054874973657968018430322951439661*a^4 + 1101283140829825717284038232879137476/4938054874973657968018430322951439661*a^3 + 908781023838014714521775050798018331/4938054874973657968018430322951439661*a^2 + 2411308790992423517661632776620140938/4938054874973657968018430322951439661*a - 123977261531209698230593868475854162/4938054874973657968018430322951439661], 0, 2, [2], 1, [ (29476793973218017704378133865857849)/(4938054874973657968018430322951439661)*a^(19) - (82522756513420235224423433759639716)/(4938054874973657968018430322951439661)*a^(18) - (2236463884688411019331324253128525905)/(4938054874973657968018430322951439661)*a^(17) + (3149724370128621774043670149571205351)/(4938054874973657968018430322951439661)*a^(16) + (62878499037553204962413547209323925623)/(4938054874973657968018430322951439661)*a^(15) - (9473520313998105107658045644472557457)/(4938054874973657968018430322951439661)*a^(14) - (63648267386642024254030445850643329380)/(379850374997973689847571563303956897)*a^(13) - (714285205275168374080203591234048480792)/(4938054874973657968018430322951439661)*a^(12) + (4847694420475815641318953230929633931690)/(4938054874973657968018430322951439661)*a^(11) + (8273421553006641992929162984264282907790)/(4938054874973657968018430322951439661)*a^(10) - (8570657212773186430701280233585261955028)/(4938054874973657968018430322951439661)*a^(9) - (27343006788810594480362208109957062259926)/(4938054874973657968018430322951439661)*a^(8) - (9214263319108915520229065350613700264942)/(4938054874973657968018430322951439661)*a^(7) + (19656207182695262442185845454214160276356)/(4938054874973657968018430322951439661)*a^(6) + (13753183571101090784779674674047063239208)/(4938054874973657968018430322951439661)*a^(5) - (4116656458660588540727992611539061514959)/(4938054874973657968018430322951439661)*a^(4) - (4870701614885346292762035090134313445364)/(4938054874973657968018430322951439661)*a^(3) - (138742362800719947599031461646862474530)/(4938054874973657968018430322951439661)*a^(2) + (510891268354066531698987804055379145886)/(4938054874973657968018430322951439661)*a + (78655298746356646060932554934998490350)/(4938054874973657968018430322951439661) , (24693052008152427200922081340142946)/(4938054874973657968018430322951439661)*a^(19) - (47868203926082398028691205110794113)/(4938054874973657968018430322951439661)*a^(18) - (152328961489245479511304812259486011)/(379850374997973689847571563303956897)*a^(17) + (1213667879929513487943096602827350606)/(4938054874973657968018430322951439661)*a^(16) + (58308967867417910670156253768443304075)/(4938054874973657968018430322951439661)*a^(15) + (28369480735790971488855975913947779302)/(4938054874973657968018430322951439661)*a^(14) - (790159341082794395472099758726539749398)/(4938054874973657968018430322951439661)*a^(13) - (1072389285967182823519130888505353283824)/(4938054874973657968018430322951439661)*a^(12) + (4729868825243699148771122575106733285199)/(4938054874973657968018430322951439661)*a^(11) + (10155884160201441871623191844849085938272)/(4938054874973657968018430322951439661)*a^(10) - (8709693354370377615580109463822183531187)/(4938054874973657968018430322951439661)*a^(9) - (33365621937989176662974172018431927633437)/(4938054874973657968018430322951439661)*a^(8) - (8261353170431883312540880442101053684519)/(4938054874973657968018430322951439661)*a^(7) + (30647285922468818239858151596459262094446)/(4938054874973657968018430322951439661)*a^(6) + (14408153925364351802858668629599174329099)/(4938054874973657968018430322951439661)*a^(5) - (11680745177576930369149343746815924456419)/(4938054874973657968018430322951439661)*a^(4) - (416921806482955161167662745987454387911)/(379850374997973689847571563303956897)*a^(3) + (1937256084762786650656485402250242578058)/(4938054874973657968018430322951439661)*a^(2) + (524823168438738380026731360954968732906)/(4938054874973657968018430322951439661)*a - (87329223013917911238132439976960184753)/(4938054874973657968018430322951439661) , (121100591084685284882703434827456)/(20661317468509029154888829803144099)*a^(19) - (146551147457768007504084960083365)/(20661317468509029154888829803144099)*a^(18) - (9876563954908174207234012340901427)/(20661317468509029154888829803144099)*a^(17) - (1104738191659719894301360022819217)/(20661317468509029154888829803144099)*a^(16) + (289692468605539114962681107570565907)/(20661317468509029154888829803144099)*a^(15) + (345640816179287227157668437741680330)/(20661317468509029154888829803144099)*a^(14) - (3754113330809691864471116744367375848)/(20661317468509029154888829803144099)*a^(13) - (8018424409166839817599083191293028914)/(20661317468509029154888829803144099)*a^(12) + (19104279585046359782630176995380494925)/(20661317468509029154888829803144099)*a^(11) + (5053469173711979730096075899173768089)/(1589332112962233011914525369472623)*a^(10) - (5228629784947182129420998974828039999)/(20661317468509029154888829803144099)*a^(9) - (187589926632405842879069702419565398101)/(20661317468509029154888829803144099)*a^(8) - (158433281273168133900957259709314297185)/(20661317468509029154888829803144099)*a^(7) + (101250021366137054539780502951614906701)/(20661317468509029154888829803144099)*a^(6) + (163591608012968244011445909308234126694)/(20661317468509029154888829803144099)*a^(5) + (6421558441697597705049522652247513617)/(20661317468509029154888829803144099)*a^(4) - (1453352555123753993826299425066203753)/(558413985635379166348346751436327)*a^(3) - (968716582367961695669373662951442723)/(1589332112962233011914525369472623)*a^(2) + (5444219604424293562422195396967813939)/(20661317468509029154888829803144099)*a + (1711935782512243846052095222252154350)/(20661317468509029154888829803144099) , (13374894242992807249569555954776527)/(4938054874973657968018430322951439661)*a^(19) - (13740341057878249860053544299414002)/(4938054874973657968018430322951439661)*a^(18) - (1099134925721353282636333248951256948)/(4938054874973657968018430322951439661)*a^(17) - (301393884227410800640677634947913488)/(4938054874973657968018430322951439661)*a^(16) + (2489223651835850277019656066452806146)/(379850374997973689847571563303956897)*a^(15) + (43089175856231397523145904662155375607)/(4938054874973657968018430322951439661)*a^(14) - (418141563549466953811877635139790915598)/(4938054874973657968018430322951439661)*a^(13) - (949924695979625505934346082290721384739)/(4938054874973657968018430322951439661)*a^(12) + (2086015147598703617142238500931689491171)/(4938054874973657968018430322951439661)*a^(11) + (7643435774085628772831899140235459039969)/(4938054874973657968018430322951439661)*a^(10) - (110237235211567041177158561429141332887)/(4938054874973657968018430322951439661)*a^(9) - (21525157737169509654038915607459800355247)/(4938054874973657968018430322951439661)*a^(8) - (1479134501571423434504254738948536153286)/(379850374997973689847571563303956897)*a^(7) + (10956426823176623769409846496104308055000)/(4938054874973657968018430322951439661)*a^(6) + (19446848832897122957711362579062302782695)/(4938054874973657968018430322951439661)*a^(5) + (1393714086591432137667819455560400686972)/(4938054874973657968018430322951439661)*a^(4) - (6271937387875188105048990945315428288499)/(4938054874973657968018430322951439661)*a^(3) - (1596151652338891478105996157943375672418)/(4938054874973657968018430322951439661)*a^(2) + (609688859428086351809432916518655819834)/(4938054874973657968018430322951439661)*a + (193960812080636303948112976193516087031)/(4938054874973657968018430322951439661) , (28507521290646790430001328027367177)/(4938054874973657968018430322951439661)*a^(19) - (119343748956951275028269551867687659)/(4938054874973657968018430322951439661)*a^(18) - (2035475479109868901824044816079370234)/(4938054874973657968018430322951439661)*a^(17) + (5987310447906998740256165389282528286)/(4938054874973657968018430322951439661)*a^(16) + (55373395748000600784064531857643847082)/(4938054874973657968018430322951439661)*a^(15) - (90968362293471251060348658309676234204)/(4938054874973657968018430322951439661)*a^(14) - (754713326556221261205542245913375694442)/(4938054874973657968018430322951439661)*a^(13) + (395747470118659402788613374888858015174)/(4938054874973657968018430322951439661)*a^(12) + (5221590546645045118727521301390695720420)/(4938054874973657968018430322951439661)*a^(11) + (1316872479382877560321565961146455966043)/(4938054874973657968018430322951439661)*a^(10) - (16873619020614458106600661739713461421464)/(4938054874973657968018430322951439661)*a^(9) - (11678852315701810924328735085227832623306)/(4938054874973657968018430322951439661)*a^(8) + (22891854886272446688583409561935083408059)/(4938054874973657968018430322951439661)*a^(7) + (19845014468576310445179321201660253154277)/(4938054874973657968018430322951439661)*a^(6) - (15658234541076072251323356406699932475797)/(4938054874973657968018430322951439661)*a^(5) - (14726587118444121088097788502055944717125)/(4938054874973657968018430322951439661)*a^(4) + (4932039712412020046025990840096857943957)/(4938054874973657968018430322951439661)*a^(3) + (4657258848168592220803540937886140760213)/(4938054874973657968018430322951439661)*a^(2) - (549991132329493754528530393534548251775)/(4938054874973657968018430322951439661)*a - (460702300027867797326342276045981008665)/(4938054874973657968018430322951439661) , (23561359038189085316081374776401838)/(4938054874973657968018430322951439661)*a^(19) - (55163509482602715079409472588806345)/(4938054874973657968018430322951439661)*a^(18) - (1808977332434299672942211011957126636)/(4938054874973657968018430322951439661)*a^(17) + (1665737506621062444454974759140497123)/(4938054874973657968018430322951439661)*a^(16) + (3905969846352288251374180214145879716)/(379850374997973689847571563303956897)*a^(15) + (16915984005300765142682187632702634554)/(4938054874973657968018430322951439661)*a^(14) - (647872006342261638831346046683798909649)/(4938054874973657968018430322951439661)*a^(13) - (889431116107283586946096267626161099575)/(4938054874973657968018430322951439661)*a^(12) + (3396077906831227860799908269536299857346)/(4938054874973657968018430322951439661)*a^(11) + (641134219920843160378542668852306124827)/(379850374997973689847571563303956897)*a^(10) - (2555091822550927508278774835857657486900)/(4938054874973657968018430322951439661)*a^(9) - (1814064963648998282172413598256406033598)/(379850374997973689847571563303956897)*a^(8) - (19744673510016856593668994163468592168283)/(4938054874973657968018430322951439661)*a^(7) + (7477556882922926427041865353705842709114)/(4938054874973657968018430322951439661)*a^(6) + (16759421041105719481490087426456878145356)/(4938054874973657968018430322951439661)*a^(5) + (3615260586267320664619100668468381185228)/(4938054874973657968018430322951439661)*a^(4) - (4029171587290016810940398055408547151976)/(4938054874973657968018430322951439661)*a^(3) - (1588080143874832675466643149069761908738)/(4938054874973657968018430322951439661)*a^(2) + (308670787331904096306740767521792770368)/(4938054874973657968018430322951439661)*a + (147448571855537666169358291760467424442)/(4938054874973657968018430322951439661) , (61329329362821783359012319751567747)/(4938054874973657968018430322951439661)*a^(19) - (41478321389746462041457585463297266)/(4938054874973657968018430322951439661)*a^(18) - (5030287547281869712833300425246511373)/(4938054874973657968018430322951439661)*a^(17) - (3312919313039647375670939872184711180)/(4938054874973657968018430322951439661)*a^(16) + (145780148351274830548907874426237692882)/(4938054874973657968018430322951439661)*a^(15) + (258227483328396353602491984745258402790)/(4938054874973657968018430322951439661)*a^(14) - (1794455229359099002779791096439555910125)/(4938054874973657968018430322951439661)*a^(13) - (5177088590361306775073041226972997782329)/(4938054874973657968018430322951439661)*a^(12) + (7342428539589156454507671384611074482367)/(4938054874973657968018430322951439661)*a^(11) + (39447649727225153997642708470311699072910)/(4938054874973657968018430322951439661)*a^(10) + (16485320453813932691137816329652407895429)/(4938054874973657968018430322951439661)*a^(9) - 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