/* 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 - 4*x^19 + 3*x^18 - 21*x^17 + 27*x^16 - 77*x^15 + 60*x^14 - 106*x^13 + 71*x^12 - 162*x^11 + 205*x^10 - 413*x^9 + 548*x^8 - 703*x^7 + 696*x^6 - 572*x^5 + 386*x^4 - 205*x^3 + 86*x^2 - 20*x + 1, 20, 23, [4, 8], 3598368619012125638152362241, [11, 23], [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, 1/6*a^15 - 1/3*a^12 + 1/3*a^10 - 1/3*a^8 - 1/2*a^7 - 1/3*a^6 + 1/3*a^5 + 1/3*a^4 - 1/2*a^3 + 1/6*a - 1/6, 1/6*a^16 - 1/3*a^13 + 1/3*a^11 - 1/3*a^9 - 1/2*a^8 - 1/3*a^7 + 1/3*a^6 + 1/3*a^5 - 1/2*a^4 + 1/6*a^2 - 1/6*a, 1/6*a^17 - 1/3*a^14 + 1/3*a^12 - 1/3*a^10 - 1/2*a^9 - 1/3*a^8 + 1/3*a^7 + 1/3*a^6 - 1/2*a^5 + 1/6*a^3 - 1/6*a^2, 1/66*a^18 - 1/66*a^17 - 5/66*a^16 + 1/33*a^15 + 7/33*a^14 - 2/11*a^13 + 10/33*a^12 - 5/11*a^11 + 13/66*a^10 + 5/66*a^9 + 23/66*a^8 + 8/33*a^7 + 19/66*a^6 - 1/6*a^5 + 3/11*a^4 + 5/33*a^3 - 2/33*a^2 - 1/22*a + 10/33, 1/18914411302141938*a^19 - 20267615738053/3152401883690323*a^18 - 565599225167281/9457205651070969*a^17 - 39474093925372/3152401883690323*a^16 + 319876137990509/6304803767380646*a^15 - 1518414626185591/3152401883690323*a^14 - 3101651311932845/9457205651070969*a^13 - 705392634521349/3152401883690323*a^12 + 4175792663419093/18914411302141938*a^11 - 4120896052077995/9457205651070969*a^10 - 2757808332678745/9457205651070969*a^9 - 948462612611955/3152401883690323*a^8 - 927809049955432/9457205651070969*a^7 + 79182244307674/286581989426393*a^6 + 4826086194566831/18914411302141938*a^5 - 4287814152720055/18914411302141938*a^4 - 4875444187727579/18914411302141938*a^3 - 2673366357731461/9457205651070969*a^2 + 6632957682809995/18914411302141938*a + 65333108471271/573163978852786], 0, 2, [2], 0, [ (32591863764546007)/(18914411302141938)*a^(19) - (18722119970820855)/(3152401883690323)*a^(18) + (35622885648985859)/(18914411302141938)*a^(17) - (110919559240468904)/(3152401883690323)*a^(16) + (85704997684828699)/(3152401883690323)*a^(15) - (1112310566126396935)/(9457205651070969)*a^(14) + (368961829492298338)/(9457205651070969)*a^(13) - (1528229706910026932)/(9457205651070969)*a^(12) + (658621704579787105)/(18914411302141938)*a^(11) - (819438162485584594)/(3152401883690323)*a^(10) + (3988767089123688427)/(18914411302141938)*a^(9) - (5632430721516810367)/(9457205651070969)*a^(8) + (3899030333874233031)/(6304803767380646)*a^(7) - (8261818801479812336)/(9457205651070969)*a^(6) + (6852194894253049279)/(9457205651070969)*a^(5) - (1020865159437696131)/(1719491936558358)*a^(4) + (6523830444222379103)/(18914411302141938)*a^(3) - (1059500432809717091)/(6304803767380646)*a^(2) + (540349698062964728)/(9457205651070969)*a - (10980001495534480)/(3152401883690323) , (873983935115033)/(9457205651070969)*a^(19) - (1551228291462988)/(9457205651070969)*a^(18) - (1326548573823120)/(3152401883690323)*a^(17) - (17203950931977215)/(9457205651070969)*a^(16) - (9684822115189913)/(6304803767380646)*a^(15) - (37229562670631348)/(9457205651070969)*a^(14) - (21886013520681248)/(3152401883690323)*a^(13) - (17345713131535288)/(3152401883690323)*a^(12) - (27256988360011791)/(3152401883690323)*a^(11) - (86638384638788678)/(9457205651070969)*a^(10) - (55051931034294067)/(9457205651070969)*a^(9) - (34371847067309225)/(3152401883690323)*a^(8) - (59407757540258997)/(6304803767380646)*a^(7) + (4733135360508985)/(859745968279179)*a^(6) - (191948313271130638)/(9457205651070969)*a^(5) + (219128513214440120)/(9457205651070969)*a^(4) - (292362915728481679)/(18914411302141938)*a^(3) + (129552380004508520)/(9457205651070969)*a^(2) - (96265933140066263)/(18914411302141938)*a + (2552799672558941)/(1719491936558358) , (362617068840773)/(9457205651070969)*a^(19) - (2859998049037075)/(18914411302141938)*a^(18) + (807685588837810)/(9457205651070969)*a^(17) - (1226625781925455)/(1719491936558358)*a^(16) + (5931998589704975)/(6304803767380646)*a^(15) - (23817852053881246)/(9457205651070969)*a^(14) + (14631478274770553)/(9457205651070969)*a^(13) - (756550410345691)/(286581989426393)*a^(12) + (13793593332266923)/(9457205651070969)*a^(11) - (92441612695464565)/(18914411302141938)*a^(10) + (58338538528243421)/(9457205651070969)*a^(9) - (82724392493225557)/(6304803767380646)*a^(8) + (307153016333585105)/(18914411302141938)*a^(7) - (358586935167173605)/(18914411302141938)*a^(6) + (50771726775402132)/(3152401883690323)*a^(5) - (31828911493132330)/(3152401883690323)*a^(4) + (1224390120955274)/(286581989426393)*a^(3) - (7433570459406755)/(18914411302141938)*a^(2) - (2111704263421708)/(9457205651070969)*a + (14733646375679171)/(18914411302141938) , (21794524770232)/(286581989426393)*a^(19) - (3454488954577151)/(18914411302141938)*a^(18) - (1920473476740304)/(9457205651070969)*a^(17) - (4580420733789347)/(3152401883690323)*a^(16) - (3336846281117906)/(9457205651070969)*a^(15) - (34679000029657021)/(9457205651070969)*a^(14) - (31187794312141073)/(9457205651070969)*a^(13) - (14493503382098834)/(3152401883690323)*a^(12) - (41233818820971562)/(9457205651070969)*a^(11) - (52415669119661387)/(6304803767380646)*a^(10) - (2944685218941049)/(9457205651070969)*a^(9) - (128983553290579348)/(9457205651070969)*a^(8) + (26240906269014260)/(9457205651070969)*a^(7) - (43291424485421083)/(6304803767380646)*a^(6) - (3047462197338184)/(859745968279179)*a^(5) + (54114352199693799)/(6304803767380646)*a^(4) - (45395309459012749)/(6304803767380646)*a^(3) + (78338180764989115)/(9457205651070969)*a^(2) - (30964517386849360)/(9457205651070969)*a + (17636905461482974)/(9457205651070969) , (4030140417097034)/(3152401883690323)*a^(19) - (88778546100289847)/(18914411302141938)*a^(18) + (22224773848538588)/(9457205651070969)*a^(17) - (247333229803799404)/(9457205651070969)*a^(16) + (484629522565219831)/(18914411302141938)*a^(15) - (862666425548288278)/(9457205651070969)*a^(14) + (142843748977973344)/(3152401883690323)*a^(13) - (1167889247584984085)/(9457205651070969)*a^(12) + (140182194218213484)/(3152401883690323)*a^(11) - (3743935800629171273)/(18914411302141938)*a^(10) + (1791569605746106972)/(9457205651070969)*a^(9) - (1497407110022626252)/(3152401883690323)*a^(8) + (10150727151823321781)/(18914411302141938)*a^(7) - (1258858782128730487)/(1719491936558358)*a^(6) + (6032813750318181169)/(9457205651070969)*a^(5) - (9868825676121733595)/(18914411302141938)*a^(4) + (967898621439583809)/(3152401883690323)*a^(3) - (484622238896674202)/(3152401883690323)*a^(2) + (1024001509259434301)/(18914411302141938)*a - (2260739932416107)/(573163978852786) , (154764617697377)/(9457205651070969)*a^(19) + (117344123883725)/(6304803767380646)*a^(18) - (2059172244729056)/(9457205651070969)*a^(17) - (314789884600834)/(859745968279179)*a^(16) - (22380773783333927)/(18914411302141938)*a^(15) - (2550562640974327)/(9457205651070969)*a^(14) - (34470246249902671)/(9457205651070969)*a^(13) - (259291795403314)/(286581989426393)*a^(12) - (40537146259063811)/(9457205651070969)*a^(11) - (16029761918593195)/(18914411302141938)*a^(10) - (17369081938451006)/(3152401883690323)*a^(9) + (25868012088651673)/(9457205651070969)*a^(8) - (230705085158805511)/(18914411302141938)*a^(7) + (234003251387460919)/(18914411302141938)*a^(6) - (158426229100410614)/(9457205651070969)*a^(5) + (275913969829798843)/(18914411302141938)*a^(4) - (7098953970520156)/(859745968279179)*a^(3) + (51214199239519405)/(9457205651070969)*a^(2) - (11445632788789181)/(6304803767380646)*a + (11721396777324341)/(18914411302141938) , (9721127738396513)/(9457205651070969)*a^(19) - (1030200558252174)/(286581989426393)*a^(18) + (11947599497304356)/(9457205651070969)*a^(17) - (395264717827706479)/(18914411302141938)*a^(16) + (163026028853993762)/(9457205651070969)*a^(15) - (221713418683769526)/(3152401883690323)*a^(14) + (245126666398825115)/(9457205651070969)*a^(13) - (903665266296798424)/(9457205651070969)*a^(12) + (232309937844706453)/(9457205651070969)*a^(11) - (1462105689021186403)/(9457205651070969)*a^(10) + (416546644695808966)/(3152401883690323)*a^(9) - (6764409529186737737)/(18914411302141938)*a^(8) + (1201309062116943728)/(3152401883690323)*a^(7) - (5002314737663444330)/(9457205651070969)*a^(6) + (4217685828532340113)/(9457205651070969)*a^(5) - (6856283182843415927)/(18914411302141938)*a^(4) + (2021771445145262783)/(9457205651070969)*a^(3) - (654217911926877539)/(6304803767380646)*a^(2) + (231981610711854131)/(6304803767380646)*a - (17459780787783431)/(9457205651070969) , (4562532346757401)/(18914411302141938)*a^(19) - (8465509057607149)/(9457205651070969)*a^(18) + (10114521384760385)/(18914411302141938)*a^(17) - (16162611389117087)/(3152401883690323)*a^(16) + (8554602305456287)/(1719491936558358)*a^(15) - (15818162893043546)/(859745968279179)*a^(14) + (92912751912643274)/(9457205651070969)*a^(13) - (82946149281059741)/(3152401883690323)*a^(12) + (170614192979584655)/(18914411302141938)*a^(11) - (383028349985195525)/(9457205651070969)*a^(10) + (709871869559963633)/(18914411302141938)*a^(9) - (915078273565510510)/(9457205651070969)*a^(8) + (1033132087631463901)/(9457205651070969)*a^(7) - (487836487978713774)/(3152401883690323)*a^(6) + (1298270776737420245)/(9457205651070969)*a^(5) - (2187782100776453497)/(18914411302141938)*a^(4) + (655915046253419504)/(9457205651070969)*a^(3) - (229275823269506503)/(6304803767380646)*a^(2) + (248692852511129825)/(18914411302141938)*a - (28390079019202039)/(18914411302141938) , (102396411517369)/(573163978852786)*a^(19) - (882211453950712)/(3152401883690323)*a^(18) - (15971952910000711)/(18914411302141938)*a^(17) - (34531417625493347)/(9457205651070969)*a^(16) - (38550079591671497)/(9457205651070969)*a^(15) - (86658537644235710)/(9457205651070969)*a^(14) - (167309674648066559)/(9457205651070969)*a^(13) - (49828516176355509)/(3152401883690323)*a^(12) - (521605768768095515)/(18914411302141938)*a^(11) - (88416634589008782)/(3152401883690323)*a^(10) - (540149605095548815)/(18914411302141938)*a^(9) - (325028082964184398)/(9457205651070969)*a^(8) - (258830358698414849)/(6304803767380646)*a^(7) - (11096750032397833)/(9457205651070969)*a^(6) - (57056780974141387)/(859745968279179)*a^(5) + (802400793513171667)/(18914411302141938)*a^(4) - (1008491834103819667)/(18914411302141938)*a^(3) + (213913058270645155)/(6304803767380646)*a^(2) - (57615240714371058)/(3152401883690323)*a + (82895773378971776)/(9457205651070969) , (10607587595395775)/(18914411302141938)*a^(19) - (12692721510302727)/(6304803767380646)*a^(18) + (15568573339631461)/(18914411302141938)*a^(17) - (107277722532191291)/(9457205651070969)*a^(16) + (199558715804789155)/(18914411302141938)*a^(15) - (361991765389870112)/(9457205651070969)*a^(14) + (55868697379956399)/(3152401883690323)*a^(13) - (480819816619656557)/(9457205651070969)*a^(12) + (122321389960477995)/(6304803767380646)*a^(11) - (1548272205643893475)/(18914411302141938)*a^(10) + (1536483362411898793)/(18914411302141938)*a^(9) - (617740492979176150)/(3152401883690323)*a^(8) + (192835404264460349)/(859745968279179)*a^(7) - (1876476449768602679)/(6304803767380646)*a^(6) + (2498922081174161741)/(9457205651070969)*a^(5) - (665035256690138157)/(3152401883690323)*a^(4) + (2456325027332229637)/(18914411302141938)*a^(3) - (1223141068692198079)/(18914411302141938)*a^(2) + (446834500718325871)/(18914411302141938)*a - (46899486462175033)/(18914411302141938) , (174839108756801)/(859745968279179)*a^(19) - (15358641668910037)/(18914411302141938)*a^(18) + (5587589483223788)/(9457205651070969)*a^(17) - (79288457832684305)/(18914411302141938)*a^(16) + (101615692235669683)/(18914411302141938)*a^(15) - (145601984626866503)/(9457205651070969)*a^(14) + (35717797352049588)/(3152401883690323)*a^(13) - (64675187955057074)/(3152401883690323)*a^(12) + (39747569216810492)/(3152401883690323)*a^(11) - (607867853905528211)/(18914411302141938)*a^(10) + (371869640347593859)/(9457205651070969)*a^(9) - (1560579235558669681)/(18914411302141938)*a^(8) + (2011175910249866411)/(18914411302141938)*a^(7) - (2575529090242532503)/(18914411302141938)*a^(6) + (110898800876166502)/(859745968279179)*a^(5) - (990488965547916928)/(9457205651070969)*a^(4) + (636070384430791834)/(9457205651070969)*a^(3) - (655353316721616017)/(18914411302141938)*a^(2) + (43762837932403509)/(3152401883690323)*a - (51425072033617331)/(18914411302141938) ], 436538.984162, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^10 - 2*x^9 - 6*x^7 - x^6 - 7*x^5 - x^4 - 6*x^3 - 2*x + 1, 1], [x^10 - x^9 - 3*x^8 + x^6 + 7*x^5 - 2*x^4 - 11*x^3 + 2*x^2 + 6*x + 1, 1], [x^10 - 2*x^9 - 17*x^7 - x^6 + 4*x^5 + 164*x^4 + 280*x^3 - 198*x^2 - 497*x - 197, 1]]]