/* 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^21 - 6*x^18 - 6*x^16 + 8*x^15 - 8*x^14 + 17*x^13 - 3*x^12 + 23*x^11 - 28*x^10 - 11*x^9 - 45*x^8 - 14*x^7 - 44*x^6 - 17*x^5 - 21*x^4 - 4*x^3 - 8*x^2 - 1, 21, 62, [1, 10], 238583305854552412020101, [23, 41227], [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, 1/518266524713*a^20 + 60217880587/518266524713*a^19 - 48116156212/518266524713*a^18 - 79153041266/518266524713*a^17 - 92621406219/518266524713*a^16 + 42692262758/518266524713*a^15 + 31180083129/74038074959*a^14 + 101440730908/518266524713*a^13 + 139464783058/518266524713*a^12 - 15199703780/74038074959*a^11 + 129938744042/518266524713*a^10 + 216947069004/518266524713*a^9 - 16279227377/74038074959*a^8 - 173697961391/518266524713*a^7 + 66140149252/518266524713*a^6 - 227637798004/518266524713*a^5 - 36081591520/74038074959*a^4 - 2528948491/74038074959*a^3 + 239167134524/518266524713*a^2 - 104948707685/518266524713*a - 254047246773/518266524713], 0, 1, [], 1, [ (1840141022)/(2263172597)*a^(20) + (877143788)/(2263172597)*a^(19) + (449344201)/(2263172597)*a^(18) - (11487780082)/(2263172597)*a^(17) - (5472735332)/(2263172597)*a^(16) - (13500248291)/(2263172597)*a^(15) + (1667617199)/(323310371)*a^(14) - (8650682375)/(2263172597)*a^(13) + (29084376644)/(2263172597)*a^(12) + (840462758)/(323310371)*a^(11) + (45513354493)/(2263172597)*a^(10) - (34338086854)/(2263172597)*a^(9) - (6107916974)/(323310371)*a^(8) - (106230878737)/(2263172597)*a^(7) - (69811258792)/(2263172597)*a^(6) - (94229005548)/(2263172597)*a^(5) - (9132197950)/(323310371)*a^(4) - (7106189621)/(323310371)*a^(3) - (19268887963)/(2263172597)*a^(2) - (10469768775)/(2263172597)*a - (3954802245)/(2263172597) , a , (384420544792)/(518266524713)*a^(20) + (229288999410)/(518266524713)*a^(19) - (98828140774)/(518266524713)*a^(18) - (2292108019564)/(518266524713)*a^(17) - (1441783757438)/(518266524713)*a^(16) - (1718212929210)/(518266524713)*a^(15) + (236405694242)/(74038074959)*a^(14) - (320576439327)/(518266524713)*a^(13) + (3965937182329)/(518266524713)*a^(12) + (531696392713)/(74038074959)*a^(11) + (6253413636198)/(518266524713)*a^(10) - (5270878609937)/(518266524713)*a^(9) - (1866388343097)/(74038074959)*a^(8) - (17907267077096)/(518266524713)*a^(7) - (14574063616349)/(518266524713)*a^(6) - (15895094456798)/(518266524713)*a^(5) - (1836528670722)/(74038074959)*a^(4) - (1022434666669)/(74038074959)*a^(3) - (2311040908101)/(518266524713)*a^(2) - (1889977628712)/(518266524713)*a - (216748597701)/(518266524713) , (129583014030)/(518266524713)*a^(20) - (61396266508)/(518266524713)*a^(19) - (97778237562)/(518266524713)*a^(18) - (719603998937)/(518266524713)*a^(17) + (379119510204)/(518266524713)*a^(16) - (134991559537)/(518266524713)*a^(15) + (144459214909)/(74038074959)*a^(14) - (1048529565014)/(518266524713)*a^(13) + (1323468656208)/(518266524713)*a^(12) - (15019801145)/(74038074959)*a^(11) + (1164025539168)/(518266524713)*a^(10) - (3666341008126)/(518266524713)*a^(9) - (270633178779)/(74038074959)*a^(8) - (1083276687986)/(518266524713)*a^(7) + (1114707308206)/(518266524713)*a^(6) - (2118736104108)/(518266524713)*a^(5) - (188722385709)/(74038074959)*a^(4) + (3873798615)/(74038074959)*a^(3) + (703454848603)/(518266524713)*a^(2) - (724391249543)/(518266524713)*a + (110541671508)/(518266524713) , (146692774465)/(518266524713)*a^(20) + (57273645278)/(518266524713)*a^(19) + (102932512331)/(518266524713)*a^(18) - (831663862087)/(518266524713)*a^(17) - (422579544990)/(518266524713)*a^(16) - (1427025741545)/(518266524713)*a^(15) + (61856372089)/(74038074959)*a^(14) - (791130313938)/(518266524713)*a^(13) + (2171091176479)/(518266524713)*a^(12) + (150742608670)/(74038074959)*a^(11) + (3328264393648)/(518266524713)*a^(10) - (777686482826)/(518266524713)*a^(9) - (468259935241)/(74038074959)*a^(8) - (7441333256753)/(518266524713)*a^(7) - (9720901805547)/(518266524713)*a^(6) - (9415301771196)/(518266524713)*a^(5) - (1357358193704)/(74038074959)*a^(4) - (797639305011)/(74038074959)*a^(3) - (4992374975297)/(518266524713)*a^(2) - (1634311571813)/(518266524713)*a - (900034280910)/(518266524713) , (342658115757)/(518266524713)*a^(20) - (29164090029)/(518266524713)*a^(19) - (148978858352)/(518266524713)*a^(18) - (2019307180683)/(518266524713)*a^(17) + (248846541579)/(518266524713)*a^(16) - (1257867105703)/(518266524713)*a^(15) + (404556124694)/(74038074959)*a^(14) - (2626257870620)/(518266524713)*a^(13) + (5139274261850)/(518266524713)*a^(12) - (148288599575)/(74038074959)*a^(11) + (6634564584394)/(518266524713)*a^(10) - (10710744719361)/(518266524713)*a^(9) - (597339481924)/(74038074959)*a^(8) - (12026049292373)/(518266524713)*a^(7) - (372104367154)/(518266524713)*a^(6) - (11463821981282)/(518266524713)*a^(5) - (443835315600)/(74038074959)*a^(4) - (607634361899)/(74038074959)*a^(3) + (384092017446)/(518266524713)*a^(2) - (1420410121057)/(518266524713)*a + (101815443378)/(518266524713) , (49532839703)/(518266524713)*a^(20) - (98637379062)/(518266524713)*a^(19) - (84757897573)/(518266524713)*a^(18) - (281167121115)/(518266524713)*a^(17) + (652537267386)/(518266524713)*a^(16) + (134644762265)/(518266524713)*a^(15) + (135924433745)/(74038074959)*a^(14) - (1062224303935)/(518266524713)*a^(13) + (1282214878633)/(518266524713)*a^(12) - (234551938079)/(74038074959)*a^(11) + (843007913294)/(518266524713)*a^(10) - (4327064129902)/(518266524713)*a^(9) + (265476494677)/(74038074959)*a^(8) + (127695891864)/(518266524713)*a^(7) + (6043653516237)/(518266524713)*a^(6) + (315110168187)/(518266524713)*a^(5) + (736408507281)/(74038074959)*a^(4) + (324045093290)/(74038074959)*a^(3) + (3458330660972)/(518266524713)*a^(2) + (280069450495)/(518266524713)*a + (1075626096735)/(518266524713) , (520689878469)/(518266524713)*a^(20) - (260720939655)/(518266524713)*a^(19) - (173353578808)/(518266524713)*a^(18) - (3075841947147)/(518266524713)*a^(17) + (1622646755728)/(518266524713)*a^(16) - (2153230681472)/(518266524713)*a^(15) + (781355432950)/(74038074959)*a^(14) - (5515603227664)/(518266524713)*a^(13) + (9570833124449)/(518266524713)*a^(12) - (662591672832)/(74038074959)*a^(11) + (10003814915664)/(518266524713)*a^(10) - (19898640160002)/(518266524713)*a^(9) - (222044200854)/(74038074959)*a^(8) - (15152097329055)/(518266524713)*a^(7) + (5846937344860)/(518266524713)*a^(6) - (13549677273830)/(518266524713)*a^(5) + (440039205951)/(74038074959)*a^(4) - (75616626630)/(74038074959)*a^(3) + (3902308119900)/(518266524713)*a^(2) - (1643082222160)/(518266524713)*a + (1564036279270)/(518266524713) , (28733056595)/(518266524713)*a^(20) - (256920674214)/(518266524713)*a^(19) - (82287906782)/(518266524713)*a^(18) - (174908951690)/(518266524713)*a^(17) + (1630660017887)/(518266524713)*a^(16) + (332093357390)/(518266524713)*a^(15) + (250042292697)/(74038074959)*a^(14) - (2264035138580)/(518266524713)*a^(13) + (1725482969100)/(518266524713)*a^(12) - (582291430617)/(74038074959)*a^(11) + (377488133718)/(518266524713)*a^(10) - (6384157574237)/(518266524713)*a^(9) + (799398178696)/(74038074959)*a^(8) + (4673308977042)/(518266524713)*a^(7) + (12619896246464)/(518266524713)*a^(6) + (5150939228374)/(518266524713)*a^(5) + (1299509641957)/(74038074959)*a^(4) + (671292739123)/(74038074959)*a^(3) + (3948212468992)/(518266524713)*a^(2) + (1027403093975)/(518266524713)*a + (972550743419)/(518266524713) , (499161549793)/(518266524713)*a^(20) - (256651413884)/(518266524713)*a^(19) - (124824071854)/(518266524713)*a^(18) - (2879785562485)/(518266524713)*a^(17) + (1421818684003)/(518266524713)*a^(16) - (2160024917205)/(518266524713)*a^(15) + (691815038620)/(74038074959)*a^(14) - (4692477340541)/(518266524713)*a^(13) + (8525283089095)/(518266524713)*a^(12) - (487999908292)/(74038074959)*a^(11) + (8397026408898)/(518266524713)*a^(10) - (16903888642686)/(518266524713)*a^(9) - (404055561453)/(74038074959)*a^(8) - (13525264522173)/(518266524713)*a^(7) + (2043893609276)/(518266524713)*a^(6) - (11931927272010)/(518266524713)*a^(5) + (160183524736)/(74038074959)*a^(4) - (111700673438)/(74038074959)*a^(3) + (2550239630545)/(518266524713)*a^(2) - (889941322891)/(518266524713)*a + (1547778934122)/(518266524713) ], 952.218112417, [[x^3 - x^2 + 1, 1]]]