/* 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 - 2*x^20 - x^19 - 3*x^18 + 10*x^17 + 13*x^16 + x^15 - 27*x^14 - 16*x^13 - 20*x^12 + 55*x^11 - 4*x^10 + 8*x^9 - 32*x^8 - x^7 + 70*x^6 - 52*x^5 - 4*x^4 + 6*x^3 + 2*x^2 - 6*x + 1, 21, 8, [3, 9], -6826740523487474380439552, [2, 71], [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, 1/1123*a^19 + 549/1123*a^18 - 486/1123*a^17 + 29/1123*a^16 + 485/1123*a^15 - 210/1123*a^14 - 484/1123*a^13 + 269/1123*a^12 - 486/1123*a^11 - 380/1123*a^10 - 229/1123*a^9 + 184/1123*a^8 + 226/1123*a^7 - 126/1123*a^6 - 383/1123*a^5 - 240/1123*a^4 + 135/1123*a^3 - 73/1123*a^2 + 400/1123*a - 482/1123, 1/5759846840051113*a^20 - 1831290216085/5759846840051113*a^19 + 1578844555870078/5759846840051113*a^18 - 2737252450552301/5759846840051113*a^17 + 427915791087797/5759846840051113*a^16 + 2790640140238848/5759846840051113*a^15 + 1535080883554518/5759846840051113*a^14 + 1760669225346069/5759846840051113*a^13 - 445066428164865/5759846840051113*a^12 + 1330609776501890/5759846840051113*a^11 + 962987638183864/5759846840051113*a^10 - 690862674853154/5759846840051113*a^9 + 1345081312925895/5759846840051113*a^8 + 513812502314985/5759846840051113*a^7 - 2445770844664860/5759846840051113*a^6 + 1969042718365795/5759846840051113*a^5 + 1833979453799909/5759846840051113*a^4 - 2097781925797724/5759846840051113*a^3 + 2561737255419719/5759846840051113*a^2 - 1218171558187049/5759846840051113*a - 2486611624028086/5759846840051113], 0, 1, [], 1, [ (859098796309984)/(5759846840051113)*a^(20) - (1951760768872006)/(5759846840051113)*a^(19) - (513184546071150)/(5759846840051113)*a^(18) - (1740899258555365)/(5759846840051113)*a^(17) + (9037255916769327)/(5759846840051113)*a^(16) + (8398304765604263)/(5759846840051113)*a^(15) - (5217863936567274)/(5759846840051113)*a^(14) - (22840450990137712)/(5759846840051113)*a^(13) - (404549494737331)/(5759846840051113)*a^(12) - (3179780478211645)/(5759846840051113)*a^(11) + (48648034502540934)/(5759846840051113)*a^(10) - (26788741770020684)/(5759846840051113)*a^(9) - (17536827477720503)/(5759846840051113)*a^(8) - (22675386989934311)/(5759846840051113)*a^(7) + (15266478186589548)/(5759846840051113)*a^(6) + (76897288007111490)/(5759846840051113)*a^(5) - (68616595666409901)/(5759846840051113)*a^(4) - (9994589352057597)/(5759846840051113)*a^(3) + (26886701242858412)/(5759846840051113)*a^(2) + (2594185349594482)/(5759846840051113)*a - (8322290117632823)/(5759846840051113) , (2636140753929321)/(5759846840051113)*a^(20) - (3902982288196551)/(5759846840051113)*a^(19) - (4480081908777327)/(5759846840051113)*a^(18) - (10327998976113304)/(5759846840051113)*a^(17) + (20544730792170145)/(5759846840051113)*a^(16) + (43952800685152792)/(5759846840051113)*a^(15) + (25820933744986418)/(5759846840051113)*a^(14) - (54276717364755082)/(5759846840051113)*a^(13) - (65946846684507334)/(5759846840051113)*a^(12) - (86043098099492213)/(5759846840051113)*a^(11) + (97617035870142567)/(5759846840051113)*a^(10) + (32702927060798142)/(5759846840051113)*a^(9) + (35028846074698670)/(5759846840051113)*a^(8) - (68070061049378561)/(5759846840051113)*a^(7) - (40935987767619076)/(5759846840051113)*a^(6) + (163015765158802902)/(5759846840051113)*a^(5) - (57862122053589209)/(5759846840051113)*a^(4) - (29825897082963315)/(5759846840051113)*a^(3) + (299531420433311)/(5759846840051113)*a^(2) + (5861671379035579)/(5759846840051113)*a - (6386007618236963)/(5759846840051113) , (1875792486673466)/(5759846840051113)*a^(20) - (2955748552095050)/(5759846840051113)*a^(19) - (3213750107082536)/(5759846840051113)*a^(18) - (6709172160972783)/(5759846840051113)*a^(17) + (16153405567494095)/(5759846840051113)*a^(16) + (30991863962037335)/(5759846840051113)*a^(15) + (13032870091173346)/(5759846840051113)*a^(14) - (47024608470149604)/(5759846840051113)*a^(13) - (46563280418554432)/(5759846840051113)*a^(12) - (47700730415077773)/(5759846840051113)*a^(11) + (88968149296783432)/(5759846840051113)*a^(10) + (26606359406367126)/(5759846840051113)*a^(9) + (8093166763759830)/(5759846840051113)*a^(8) - (69482661222813863)/(5759846840051113)*a^(7) - (29713600993257271)/(5759846840051113)*a^(6) + (128256576823854722)/(5759846840051113)*a^(5) - (36381191392088184)/(5759846840051113)*a^(4) - (33998677270845555)/(5759846840051113)*a^(3) + (963619791070374)/(5759846840051113)*a^(2) + (17807300042204638)/(5759846840051113)*a - (5750021014876486)/(5759846840051113) , (1299112436901294)/(5759846840051113)*a^(20) - (2655609124622645)/(5759846840051113)*a^(19) - (877314763182357)/(5759846840051113)*a^(18) - (4018662083191253)/(5759846840051113)*a^(17) + (12370824912516701)/(5759846840051113)*a^(16) + (14530515135433689)/(5759846840051113)*a^(15) + (1549569599728577)/(5759846840051113)*a^(14) - (28525562143867303)/(5759846840051113)*a^(13) - (10967736060534677)/(5759846840051113)*a^(12) - (26262106821709567)/(5759846840051113)*a^(11) + (61658326976573933)/(5759846840051113)*a^(10) - (26498669721441099)/(5759846840051113)*a^(9) + (11156636658943604)/(5759846840051113)*a^(8) - (31338069451357614)/(5759846840051113)*a^(7) + (10370323369890497)/(5759846840051113)*a^(6) + (85806104679496667)/(5759846840051113)*a^(5) - (75486919435253)/(5128982048131)*a^(4) + (7812843879735041)/(5759846840051113)*a^(3) + (16925890006140408)/(5759846840051113)*a^(2) + (829795094620996)/(5759846840051113)*a - (8118479848013183)/(5759846840051113) , (1436484960135554)/(5759846840051113)*a^(20) - (2838545541119735)/(5759846840051113)*a^(19) - (2187946195484238)/(5759846840051113)*a^(18) - (3704354594726302)/(5759846840051113)*a^(17) + (15955196671151228)/(5759846840051113)*a^(16) + (22188822622151532)/(5759846840051113)*a^(15) - (1777424885475960)/(5759846840051113)*a^(14) - (52753079289108386)/(5759846840051113)*a^(13) - (36029388057621553)/(5759846840051113)*a^(12) - (19967827132669048)/(5759846840051113)*a^(11) + (100519046159868183)/(5759846840051113)*a^(10) + (25119257117659851)/(5759846840051113)*a^(9) - (784277518456175)/(5759846840051113)*a^(8) - (65357250488337161)/(5759846840051113)*a^(7) - (10919119631036509)/(5759846840051113)*a^(6) + (110659112051514421)/(5759846840051113)*a^(5) - (47748761546077276)/(5759846840051113)*a^(4) - (46383703597163074)/(5759846840051113)*a^(3) + (3235982807236526)/(5759846840051113)*a^(2) + (17270841743268728)/(5759846840051113)*a - (11782795117185033)/(5759846840051113) , (1261221169061464)/(5759846840051113)*a^(20) - (3302832168012251)/(5759846840051113)*a^(19) - (743036770071761)/(5759846840051113)*a^(18) - (2064958372668575)/(5759846840051113)*a^(17) + (17285319889798527)/(5759846840051113)*a^(16) + (13792036010512162)/(5759846840051113)*a^(15) - (13816977386263696)/(5759846840051113)*a^(14) - (54676538291222587)/(5759846840051113)*a^(13) - (19734319083956314)/(5759846840051113)*a^(12) - (3873613121839599)/(5759846840051113)*a^(11) + (112709642521490338)/(5759846840051113)*a^(10) - (2509344109920018)/(5759846840051113)*a^(9) + (1331343328751283)/(5759846840051113)*a^(8) - (63334494500734570)/(5759846840051113)*a^(7) + (11329582627382699)/(5759846840051113)*a^(6) + (110868247503987425)/(5759846840051113)*a^(5) - (92737540030543758)/(5759846840051113)*a^(4) - (18823643562013830)/(5759846840051113)*a^(3) + (1604652591102209)/(5759846840051113)*a^(2) + (6665909796792202)/(5759846840051113)*a - (10559528132358847)/(5759846840051113) , (5750021014876486)/(5759846840051113)*a^(20) - (9624249543079506)/(5759846840051113)*a^(19) - (8705769566971536)/(5759846840051113)*a^(18) - (20463813151711994)/(5759846840051113)*a^(17) + (50791037987792077)/(5759846840051113)*a^(16) + (90903678760888413)/(5759846840051113)*a^(15) + (36741884976913821)/(5759846840051113)*a^(14) - (142217697310491776)/(5759846840051113)*a^(13) - (139024944708173380)/(5759846840051113)*a^(12) - (161563700716084152)/(5759846840051113)*a^(11) + (268550425403128957)/(5759846840051113)*a^(10) + (65968065237277488)/(5759846840051113)*a^(9) + (72606527525379014)/(5759846840051113)*a^(8) - (175907505712287722)/(5759846840051113)*a^(7) - (75232682237690349)/(5759846840051113)*a^(6) + (372787870048096749)/(5759846840051113)*a^(5) - (170744515949722550)/(5759846840051113)*a^(4) - (59381275451594128)/(5759846840051113)*a^(3) + (501448818413361)/(5759846840051113)*a^(2) + (12463661820823346)/(5759846840051113)*a - (16692826047054278)/(5759846840051113) , (982255783775215)/(5759846840051113)*a^(20) - (2520521514683392)/(5759846840051113)*a^(19) - (1660029728300310)/(5759846840051113)*a^(18) - (534383668381874)/(5759846840051113)*a^(17) + (15538167597559183)/(5759846840051113)*a^(16) + (15856446195162901)/(5759846840051113)*a^(15) - (16873515952350646)/(5759846840051113)*a^(14) - (62605388814619779)/(5759846840051113)*a^(13) - (32797009228092445)/(5759846840051113)*a^(12) + (16140786252428246)/(5759846840051113)*a^(11) + (125831696441400416)/(5759846840051113)*a^(10) + (46941815362529758)/(5759846840051113)*a^(9) - (29298647982698963)/(5759846840051113)*a^(8) - (86302342801105241)/(5759846840051113)*a^(7) - (24827827863867445)/(5759846840051113)*a^(6) + (107020824207304792)/(5759846840051113)*a^(5) - (34550045306994283)/(5759846840051113)*a^(4) - (64335958900528383)/(5759846840051113)*a^(3) - (611561064731710)/(5759846840051113)*a^(2) + (18756738612294981)/(5759846840051113)*a + (1399196826916100)/(5759846840051113) , (73320916522334)/(5759846840051113)*a^(20) - (388737782089224)/(5759846840051113)*a^(19) + (1285221647280314)/(5759846840051113)*a^(18) - (496234699578267)/(5759846840051113)*a^(17) - (154358740703264)/(5759846840051113)*a^(16) - (6820332679787112)/(5759846840051113)*a^(15) - (1560701741486010)/(5759846840051113)*a^(14) + (12381680163669178)/(5759846840051113)*a^(13) + (29548416524048628)/(5759846840051113)*a^(12) + (11343979184834463)/(5759846840051113)*a^(11) - (1778100546237308)/(5759846840051113)*a^(10) - (59046237968488639)/(5759846840051113)*a^(9) - (14605936984087058)/(5759846840051113)*a^(8) - (18120650872264744)/(5759846840051113)*a^(7) + (22528534377729253)/(5759846840051113)*a^(6) + (1900918520720412)/(5759846840051113)*a^(5) - (31310508290469442)/(5759846840051113)*a^(4) + (43065026464472489)/(5759846840051113)*a^(3) + (3270249627298468)/(5759846840051113)*a^(2) + (6583601769237404)/(5759846840051113)*a + (2526047295408373)/(5759846840051113) , (1190161516562551)/(5759846840051113)*a^(20) - (2380941682262265)/(5759846840051113)*a^(19) - (1899392665420195)/(5759846840051113)*a^(18) - (3017702976978029)/(5759846840051113)*a^(17) + (13514332590000460)/(5759846840051113)*a^(16) + (19312319014553168)/(5759846840051113)*a^(15) - (1647510456351589)/(5759846840051113)*a^(14) - (46081376288769882)/(5759846840051113)*a^(13) - (35182791067980779)/(5759846840051113)*a^(12) - (20089266572552651)/(5759846840051113)*a^(11) + (85384256397687232)/(5759846840051113)*a^(10) + (30089222392281129)/(5759846840051113)*a^(9) + (5510860111995111)/(5759846840051113)*a^(8) - (50873900157432264)/(5759846840051113)*a^(7) - (15841580953382522)/(5759846840051113)*a^(6) + (91194201883716906)/(5759846840051113)*a^(5) - (39632585680891072)/(5759846840051113)*a^(4) - (33672111879603849)/(5759846840051113)*a^(3) - (427122688243206)/(5759846840051113)*a^(2) + (4272672315284871)/(5759846840051113)*a - (5716183374571750)/(5759846840051113) , (2476930331302074)/(5759846840051113)*a^(20) - (4635396507162412)/(5759846840051113)*a^(19) - (3102430857052855)/(5759846840051113)*a^(18) - (7869122958557550)/(5759846840051113)*a^(17) + (23848510826129064)/(5759846840051113)*a^(16) + (35609767725885822)/(5759846840051113)*a^(15) + (7136338139017531)/(5759846840051113)*a^(14) - (66587175497856399)/(5759846840051113)*a^(13) - (50126846755579841)/(5759846840051113)*a^(12) - (56444503583340241)/(5759846840051113)*a^(11) + (129660229136204377)/(5759846840051113)*a^(10) + (8553031412276338)/(5759846840051113)*a^(9) + (19461786761150969)/(5759846840051113)*a^(8) - (79981606879444842)/(5759846840051113)*a^(7) - (16502488031394268)/(5759846840051113)*a^(6) + (177324943153060277)/(5759846840051113)*a^(5) - (103103531821505591)/(5759846840051113)*a^(4) - (14716803608334014)/(5759846840051113)*a^(3) + (6556098154106791)/(5759846840051113)*a^(2) + (7736010383839439)/(5759846840051113)*a - (10343169200004037)/(5759846840051113) ], 7666.61577427, [[x^3 - x^2 - 6*x - 2, 1], [x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1, 1]]]