/* 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 - 5*x^19 + 17*x^18 - 68*x^17 + 207*x^16 - 629*x^15 + 1190*x^14 - 1544*x^13 + 1847*x^12 - 1673*x^11 + 1655*x^10 - 929*x^9 - 1293*x^8 + 994*x^7 + 135*x^6 + 252*x^5 + 7*x^4 - 147*x^3 - 91*x^2 + 50*x - 5, 20, 466, [8, 6], 762378983303206514165048828125, [5, 61, 397], [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, 1/2427088373034832308030795162586681*a^19 - 320146873847078525857877297617652/2427088373034832308030795162586681*a^18 + 569994951216933729235118100289769/2427088373034832308030795162586681*a^17 + 431021873978031771994291320977929/2427088373034832308030795162586681*a^16 - 505369080792275039188905486052427/2427088373034832308030795162586681*a^15 + 416904477094762500915181412682082/2427088373034832308030795162586681*a^14 + 881724344147416867185410189099978/2427088373034832308030795162586681*a^13 + 382306527497623456676975058757317/2427088373034832308030795162586681*a^12 + 1193418866671580479979809966978723/2427088373034832308030795162586681*a^11 + 846769547212696647177078385178129/2427088373034832308030795162586681*a^10 + 871646006367710745275673962429528/2427088373034832308030795162586681*a^9 + 31947355067504253006362528023698/2427088373034832308030795162586681*a^8 - 1011794448179901025200712868866779/2427088373034832308030795162586681*a^7 + 479773634042929163098645354366967/2427088373034832308030795162586681*a^6 + 263344450033974896482723347382353/2427088373034832308030795162586681*a^5 + 986892477614228241012658286829778/2427088373034832308030795162586681*a^4 + 947064463233645189273510172909166/2427088373034832308030795162586681*a^3 - 411407968129235793725223539443414/2427088373034832308030795162586681*a^2 - 996743915707675522231488829839606/2427088373034832308030795162586681*a - 385005193403642145766148393303082/2427088373034832308030795162586681], 0, 1, [], 1, [ (38896544367133702748)/(160964619046125722341)*a^(19) - (179675288814817290816)/(160964619046125722341)*a^(18) + (596467003594369885810)/(160964619046125722341)*a^(17) - (2432629936812062296898)/(160964619046125722341)*a^(16) + (7173130830256577874841)/(160964619046125722341)*a^(15) - (21935958514037466789112)/(160964619046125722341)*a^(14) + (38494072180287183564547)/(160964619046125722341)*a^(13) - (47141758173510867457413)/(160964619046125722341)*a^(12) + (56522744717419615965156)/(160964619046125722341)*a^(11) - (46512090151700896798791)/(160964619046125722341)*a^(10) + (50201428642707011365413)/(160964619046125722341)*a^(9) - (19107836285813328909074)/(160964619046125722341)*a^(8) - (54497706793663301662805)/(160964619046125722341)*a^(7) + (18540661258782044581941)/(160964619046125722341)*a^(6) + (6935338358300213809729)/(160964619046125722341)*a^(5) + (12086884778309899917753)/(160964619046125722341)*a^(4) + (4537250477897722296916)/(160964619046125722341)*a^(3) - (3283595777814329877736)/(160964619046125722341)*a^(2) - (3732822205501553798029)/(160964619046125722341)*a + (877859767303471217123)/(160964619046125722341) , (17525879093206341363693900552816)/(2427088373034832308030795162586681)*a^(19) - (48529437511310349882254292788207)/(2427088373034832308030795162586681)*a^(18) + (111558514249279128230204723707943)/(2427088373034832308030795162586681)*a^(17) - (573893941603995207624031262332851)/(2427088373034832308030795162586681)*a^(16) + (1120535663932630397443441694264612)/(2427088373034832308030795162586681)*a^(15) - (3538546622765732153830161714702813)/(2427088373034832308030795162586681)*a^(14) - (1872581436596022950919290866703866)/(2427088373034832308030795162586681)*a^(13) + (13946870616089349377967075925891495)/(2427088373034832308030795162586681)*a^(12) - (17561308413920373289127014041200920)/(2427088373034832308030795162586681)*a^(11) + (31278684047772501354537296162784806)/(2427088373034832308030795162586681)*a^(10) - (22225947023075292950761437643030110)/(2427088373034832308030795162586681)*a^(9) + (36633179756545371234523663977872466)/(2427088373034832308030795162586681)*a^(8) - (49069131948121766207138416432844928)/(2427088373034832308030795162586681)*a^(7) - (39369923588734299669161093318484163)/(2427088373034832308030795162586681)*a^(6) + (21002198821505493633837901965932440)/(2427088373034832308030795162586681)*a^(5) + (16366961171012303116884095674621356)/(2427088373034832308030795162586681)*a^(4) + (16346851664292049548566882888118234)/(2427088373034832308030795162586681)*a^(3) + (6278502609003126990036984665261054)/(2427088373034832308030795162586681)*a^(2) - (4961676575449255533606945294394245)/(2427088373034832308030795162586681)*a - (5405208757613004417674523863972577)/(2427088373034832308030795162586681) , (28884031916096545965069423112426)/(2427088373034832308030795162586681)*a^(19) - (97517222390515105468534399120310)/(2427088373034832308030795162586681)*a^(18) + (272791457290606225035067024513451)/(2427088373034832308030795162586681)*a^(17) - (1250427380802453052265237512670326)/(2427088373034832308030795162586681)*a^(16) + (3062631857674828573398317803934996)/(2427088373034832308030795162586681)*a^(15) - (9548068980835422134261194091625821)/(2427088373034832308030795162586681)*a^(14) + (8204272615548549147732805913507657)/(2427088373034832308030795162586681)*a^(13) + (1317027649881722331284947360412623)/(2427088373034832308030795162586681)*a^(12) - (452293803587280314706958477153523)/(2427088373034832308030795162586681)*a^(11) + (17512512786741804163855178926599184)/(2427088373034832308030795162586681)*a^(10) - (7132552882336965005570885930062717)/(2427088373034832308030795162586681)*a^(9) + (32770263611588799157644249526244239)/(2427088373034832308030795162586681)*a^(8) - (66326129851797831196944969395234412)/(2427088373034832308030795162586681)*a^(7) - (38945196244094315448588127274865851)/(2427088373034832308030795162586681)*a^(6) + (12824626134161700472616691138490887)/(2427088373034832308030795162586681)*a^(5) + (32375613040777431205199063931379617)/(2427088373034832308030795162586681)*a^(4) + (21486429606379199630343704210309565)/(2427088373034832308030795162586681)*a^(3) + (4083527748122457516881339462109653)/(2427088373034832308030795162586681)*a^(2) - (5135470956012645052047672549832780)/(2427088373034832308030795162586681)*a - (4165374293819111995945175707440628)/(2427088373034832308030795162586681) , (11358152822890204601375522559610)/(2427088373034832308030795162586681)*a^(19) - (48987784879204755586280106332103)/(2427088373034832308030795162586681)*a^(18) + (161232943041327096804862300805508)/(2427088373034832308030795162586681)*a^(17) - (676533439198457844641206250337475)/(2427088373034832308030795162586681)*a^(16) + (1942096193742198175954876109670384)/(2427088373034832308030795162586681)*a^(15) - (6009522358069689980431032376923008)/(2427088373034832308030795162586681)*a^(14) + (10076854052144572098652096780211523)/(2427088373034832308030795162586681)*a^(13) - (12629842966207627046682128565478872)/(2427088373034832308030795162586681)*a^(12) + (17109014610333092974420055564047397)/(2427088373034832308030795162586681)*a^(11) - (13766171261030697190682117236185622)/(2427088373034832308030795162586681)*a^(10) + (15093394140738327945190551712967393)/(2427088373034832308030795162586681)*a^(9) - (3862916144956572076879414451628227)/(2427088373034832308030795162586681)*a^(8) - (17256997903676064989806552962389484)/(2427088373034832308030795162586681)*a^(7) + (424727344639984220572966043618312)/(2427088373034832308030795162586681)*a^(6) - (8177572687343793161221210827441553)/(2427088373034832308030795162586681)*a^(5) + (16008651869765128088314968256758261)/(2427088373034832308030795162586681)*a^(4) + (5139577942087150081776821322191331)/(2427088373034832308030795162586681)*a^(3) - (2194974860880669473155645203151401)/(2427088373034832308030795162586681)*a^(2) - (173794380563389518440727255438535)/(2427088373034832308030795162586681)*a + (1239834463793892421729348156531949)/(2427088373034832308030795162586681) , (17525879093206341363693900552816)/(2427088373034832308030795162586681)*a^(19) - (48529437511310349882254292788207)/(2427088373034832308030795162586681)*a^(18) + (111558514249279128230204723707943)/(2427088373034832308030795162586681)*a^(17) - (573893941603995207624031262332851)/(2427088373034832308030795162586681)*a^(16) + (1120535663932630397443441694264612)/(2427088373034832308030795162586681)*a^(15) - (3538546622765732153830161714702813)/(2427088373034832308030795162586681)*a^(14) - (1872581436596022950919290866703866)/(2427088373034832308030795162586681)*a^(13) + (13946870616089349377967075925891495)/(2427088373034832308030795162586681)*a^(12) - (17561308413920373289127014041200920)/(2427088373034832308030795162586681)*a^(11) + (31278684047772501354537296162784806)/(2427088373034832308030795162586681)*a^(10) - (22225947023075292950761437643030110)/(2427088373034832308030795162586681)*a^(9) + (36633179756545371234523663977872466)/(2427088373034832308030795162586681)*a^(8) - (49069131948121766207138416432844928)/(2427088373034832308030795162586681)*a^(7) - (39369923588734299669161093318484163)/(2427088373034832308030795162586681)*a^(6) + (21002198821505493633837901965932440)/(2427088373034832308030795162586681)*a^(5) + (16366961171012303116884095674621356)/(2427088373034832308030795162586681)*a^(4) + (16346851664292049548566882888118234)/(2427088373034832308030795162586681)*a^(3) + (6278502609003126990036984665261054)/(2427088373034832308030795162586681)*a^(2) - (4961676575449255533606945294394245)/(2427088373034832308030795162586681)*a - (2978120384578172109643728701385896)/(2427088373034832308030795162586681) , (173281907701291693515302418564953)/(2427088373034832308030795162586681)*a^(19) - (913052978737039079576960486248810)/(2427088373034832308030795162586681)*a^(18) + (3119474593667206689720139221723825)/(2427088373034832308030795162586681)*a^(17) - (12330359191172490915669278401607511)/(2427088373034832308030795162586681)*a^(16) + (38250268216169365121137988945548421)/(2427088373034832308030795162586681)*a^(15) - (115319806102495753195962107302174646)/(2427088373034832308030795162586681)*a^(14) + (226220779957218942343281397505900387)/(2427088373034832308030795162586681)*a^(13) - (294139271750603769148126200636806237)/(2427088373034832308030795162586681)*a^(12) + (347579503193198681592028039255507197)/(2427088373034832308030795162586681)*a^(11) - (326499987327226537107317554842621710)/(2427088373034832308030795162586681)*a^(10) + (303829386735946889933158181660847329)/(2427088373034832308030795162586681)*a^(9) - (199122794723734604838773588822475413)/(2427088373034832308030795162586681)*a^(8) - (235878769638839821442169010182159612)/(2427088373034832308030795162586681)*a^(7) + (232022505349400507873621600774766389)/(2427088373034832308030795162586681)*a^(6) + (63913220791832269133941661086576934)/(2427088373034832308030795162586681)*a^(5) + (50084179973033130854989736019727765)/(2427088373034832308030795162586681)*a^(4) - (12578444237140005130942426628213261)/(2427088373034832308030795162586681)*a^(3) - (45562581051980844575366207652785728)/(2427088373034832308030795162586681)*a^(2) - (25133374873037036928965173670107114)/(2427088373034832308030795162586681)*a + (7231336610483222390213573563509081)/(2427088373034832308030795162586681) , (430044285647012894586531446912281)/(2427088373034832308030795162586681)*a^(19) - (1875725861567127396190494113870440)/(2427088373034832308030795162586681)*a^(18) + (6135079143334810416756095721248994)/(2427088373034832308030795162586681)*a^(17) - (25419764438012588121556545003022947)/(2427088373034832308030795162586681)*a^(16) + (73106021774162866168060461193494373)/(2427088373034832308030795162586681)*a^(15) - (225122906798247469855829698418817992)/(2427088373034832308030795162586681)*a^(14) + (371733379570827582050544207309172238)/(2427088373034832308030795162586681)*a^(13) - (438191390018364517393023071706385444)/(2427088373034832308030795162586681)*a^(12) + (533476331354319404896656437554102346)/(2427088373034832308030795162586681)*a^(11) - (402811497023624070296099103227934278)/(2427088373034832308030795162586681)*a^(10) + (481718295148333646975379280062560989)/(2427088373034832308030795162586681)*a^(9) - (108597785780780542674465479819180722)/(2427088373034832308030795162586681)*a^(8) - (605218808016692946945978499854453889)/(2427088373034832308030795162586681)*a^(7) + (46285096302232862160263011802045105)/(2427088373034832308030795162586681)*a^(6) + (53445854269429065619202448707696719)/(2427088373034832308030795162586681)*a^(5) + (157392648658438794000689124497370620)/(2427088373034832308030795162586681)*a^(4) + (84328753421659018784916868148952985)/(2427088373034832308030795162586681)*a^(3) - (16585579186558779704373624448693097)/(2427088373034832308030795162586681)*a^(2) - (38416147784481011924335623267589041)/(2427088373034832308030795162586681)*a + (4705285587491166178914676690911223)/(2427088373034832308030795162586681) , (158084727079777647659864286619987)/(2427088373034832308030795162586681)*a^(19) - (818082636218355983721887127610446)/(2427088373034832308030795162586681)*a^(18) + (2783650468212723078612652827380120)/(2427088373034832308030795162586681)*a^(17) - (11049873450419558727323723282770702)/(2427088373034832308030795162586681)*a^(16) + (34053961218046967209656565157804196)/(2427088373034832308030795162586681)*a^(15) - (102831069140952744532126652967718830)/(2427088373034832308030795162586681)*a^(14) + (199047504719956312990644195098388589)/(2427088373034832308030795162586681)*a^(13) - (256773917805458887152466415030434789)/(2427088373034832308030795162586681)*a^(12) + (304037463025828911789773546435740094)/(2427088373034832308030795162586681)*a^(11) - (280115548751716370736756923324323577)/(2427088373034832308030795162586681)*a^(10) + (263096516291964312019885525168283562)/(2427088373034832308030795162586681)*a^(9) - (161795161282904822973013284349767737)/(2427088373034832308030795162586681)*a^(8) - (224232600909849923906103169199706523)/(2427088373034832308030795162586681)*a^(7) + (197034619171234651407042171561841869)/(2427088373034832308030795162586681)*a^(6) + (43491860535852588705896877271642713)/(2427088373034832308030795162586681)*a^(5) + (52813154374802141321408292606141452)/(2427088373034832308030795162586681)*a^(4) - (3788688995738240925579585952023162)/(2427088373034832308030795162586681)*a^(3) - 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