/* 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^20 + 22*x^19 - 44*x^18 + 46*x^17 - 18*x^16 - 9*x^15 - 94*x^14 + 67*x^13 + 50*x^12 + 44*x^11 - 96*x^10 + 288*x^9 + 690*x^8 + 639*x^7 - 246*x^6 - 1218*x^5 - 1692*x^4 - 1384*x^3 - 784*x^2 - 288*x - 64, 21, 62, [3, 9], -647754154086026198212292912701505536, [2, 79, 159017], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/2*a^8 - 1/2*a^2, 1/2*a^9 - 1/2*a^3, 1/4*a^10 - 1/4*a^9 - 1/2*a^7 - 1/2*a^5 + 1/4*a^4 + 1/4*a^3 - 1/2*a, 1/4*a^11 - 1/4*a^9 - 1/2*a^7 - 1/2*a^6 - 1/4*a^5 - 1/2*a^4 + 1/4*a^3 - 1/2*a, 1/8*a^12 - 1/8*a^10 - 1/4*a^9 - 1/4*a^8 - 1/4*a^7 + 3/8*a^6 - 1/4*a^5 + 1/8*a^4 - 1/4*a^3 + 1/4*a^2 - 1/2*a, 1/8*a^13 - 1/8*a^11 - 1/4*a^8 - 1/8*a^7 - 1/4*a^6 - 3/8*a^5 - 1/2*a^2 - 1/2*a, 1/16*a^14 - 1/16*a^13 - 1/16*a^12 - 1/16*a^11 - 3/16*a^8 + 3/16*a^7 - 5/16*a^6 - 3/16*a^5 + 1/4*a^4 + 1/8*a^3 + 1/4*a^2, 1/16*a^15 + 1/16*a^11 - 1/8*a^10 - 3/16*a^9 + 1/8*a^6 + 3/16*a^5 - 1/8*a^3 - 1/2*a^2 - 1/2*a, 1/32*a^16 + 1/32*a^12 + 1/16*a^11 + 1/32*a^10 - 1/4*a^9 - 1/4*a^8 - 7/16*a^7 + 11/32*a^6 + 1/8*a^5 - 3/16*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/32*a^17 + 1/32*a^13 - 1/16*a^12 + 1/32*a^11 - 1/8*a^10 - 3/16*a^8 - 13/32*a^7 - 1/4*a^6 + 1/16*a^5 + 3/8*a^4 - 1/4*a^3 + 1/4*a^2 - 1/2*a, 1/1984*a^18 + 1/1984*a^17 - 15/992*a^16 - 3/124*a^15 + 9/1984*a^14 + 11/1984*a^13 + 85/1984*a^12 + 5/1984*a^11 + 117/992*a^10 - 131/992*a^9 + 485/1984*a^8 - 949/1984*a^7 - 91/496*a^6 + 189/992*a^5 - 137/496*a^4 + 9/62*a^3 - 1/2*a^2 - 7/62*a + 11/31, 1/7936*a^19 - 1/256*a^17 + 53/3968*a^16 + 181/7936*a^15 - 123/3968*a^14 - 211/3968*a^13 - 113/1984*a^12 - 887/7936*a^11 - 7/64*a^10 - 617/7936*a^9 - 841/3968*a^8 - 2639/7936*a^7 + 1921/3968*a^6 - 525/3968*a^5 + 581/1984*a^4 + 119/992*a^3 - 45/496*a^2 - 33/248*a + 51/124, 1/31744*a^20 - 1/31744*a^19 + 1/31744*a^18 - 327/31744*a^17 - 389/31744*a^16 + 21/31744*a^15 - 55/1984*a^14 + 409/15872*a^13 + 797/31744*a^12 - 317/31744*a^11 - 1685/31744*a^10 + 471/31744*a^9 + 4643/31744*a^8 - 11487/31744*a^7 - 539/7936*a^6 - 5161/15872*a^5 + 3953/7936*a^4 - 1785/3968*a^3 - 269/1984*a^2 - 89/992*a - 195/496], 0, 1, [], 1, [ (113)/(1024)*a^(20) - (1217)/(1024)*a^(19) + (6465)/(1024)*a^(18) - (21943)/(1024)*a^(17) + (49483)/(1024)*a^(16) - (75659)/(1024)*a^(15) + (609)/(8)*a^(14) - (30367)/(512)*a^(13) + (69789)/(1024)*a^(12) - (80909)/(1024)*a^(11) + (54043)/(1024)*a^(10) - (36201)/(1024)*a^(9) + (79139)/(1024)*a^(8) - (126127)/(1024)*a^(7) - (12403)/(256)*a^(6) - (26137)/(512)*a^(5) + (25761)/(256)*a^(4) + (15655)/(128)*a^(3) + (8467)/(64)*a^(2) + (1719)/(32)*a + (429)/(16) , (113)/(1024)*a^(20) - (1217)/(1024)*a^(19) + (6465)/(1024)*a^(18) - (21943)/(1024)*a^(17) + (49483)/(1024)*a^(16) - (75659)/(1024)*a^(15) + (609)/(8)*a^(14) - (30367)/(512)*a^(13) + (69789)/(1024)*a^(12) - (80909)/(1024)*a^(11) + (54043)/(1024)*a^(10) - (36201)/(1024)*a^(9) + (79139)/(1024)*a^(8) - (126127)/(1024)*a^(7) - (12403)/(256)*a^(6) - (26137)/(512)*a^(5) + (25761)/(256)*a^(4) + (15655)/(128)*a^(3) + (8467)/(64)*a^(2) + (1719)/(32)*a + (397)/(16) , (1397)/(15872)*a^(20) + (6895)/(15872)*a^(19) - (81795)/(15872)*a^(18) + (413673)/(15872)*a^(17) - (1154577)/(15872)*a^(16) + (1926413)/(15872)*a^(15) - (60801)/(496)*a^(14) + (443189)/(7936)*a^(13) - (1412775)/(15872)*a^(12) + (2521115)/(15872)*a^(11) - (960601)/(15872)*a^(10) - (293681)/(15872)*a^(9) - (429089)/(15872)*a^(8) + (6633089)/(15872)*a^(7) + (1237435)/(3968)*a^(6) - (736617)/(7936)*a^(5) - (2451135)/(3968)*a^(4) - (1361385)/(1984)*a^(3) - (479109)/(992)*a^(2) - (94873)/(496)*a - (11707)/(248) , (705)/(1984)*a^(20) - (4727)/(1984)*a^(19) + (1169)/(124)*a^(18) - (695)/(32)*a^(17) + (57733)/(1984)*a^(16) - (38909)/(1984)*a^(15) - (6165)/(1984)*a^(14) - (27257)/(1984)*a^(13) + (4653)/(248)*a^(12) + (573)/(31)*a^(11) - (30031)/(1984)*a^(10) - (16689)/(1984)*a^(9) + (3223)/(32)*a^(8) + (90045)/(496)*a^(7) + (34695)/(496)*a^(6) - (67065)/(496)*a^(5) - (81889)/(248)*a^(4) - (21193)/(62)*a^(3) - (7302)/(31)*a^(2) - (3175)/(31)*a - (923)/(31) , (122783)/(31744)*a^(20) - (914815)/(31744)*a^(19) + (3928399)/(31744)*a^(18) - (10364937)/(31744)*a^(17) + (17547077)/(31744)*a^(16) - (19484245)/(31744)*a^(15) + (423073)/(992)*a^(14) - (8202449)/(15872)*a^(13) + (22140275)/(31744)*a^(12) - (13317203)/(31744)*a^(11) + (7598613)/(31744)*a^(10) - (13243575)/(31744)*a^(9) + (49059245)/(31744)*a^(8) + (23985839)/(31744)*a^(7) + (1128475)/(7936)*a^(6) - (29710727)/(15872)*a^(5) - (17236225)/(7936)*a^(4) - (7467287)/(3968)*a^(3) - (1455875)/(1984)*a^(2) - (279863)/(992)*a + (14099)/(496) , (62611)/(31744)*a^(20) - (565003)/(31744)*a^(19) + (2697379)/(31744)*a^(18) - (8140493)/(31744)*a^(17) + (16001361)/(31744)*a^(16) - (20746313)/(31744)*a^(15) + (1079497)/(1984)*a^(14) - (7058485)/(15872)*a^(13) + (22305367)/(31744)*a^(12) - (22073231)/(31744)*a^(11) + (9856945)/(31744)*a^(10) - (11266099)/(31744)*a^(9) + (36885657)/(31744)*a^(8) - (25871797)/(31744)*a^(7) - (7802557)/(7936)*a^(6) - (21681539)/(15872)*a^(5) + (4171707)/(7936)*a^(4) + (5538205)/(3968)*a^(3) + (3570481)/(1984)*a^(2) + (847373)/(992)*a + (183967)/(496) , (4941)/(31744)*a^(20) + (82019)/(31744)*a^(19) - (734131)/(31744)*a^(18) + (3445941)/(31744)*a^(17) - (9620897)/(31744)*a^(16) + (17108865)/(31744)*a^(15) - (1261149)/(1984)*a^(14) + (7516837)/(15872)*a^(13) - (17343047)/(31744)*a^(12) + (22660599)/(31744)*a^(11) - (14467601)/(31744)*a^(10) + (8391739)/(31744)*a^(9) - (11113241)/(31744)*a^(8) + (48188861)/(31744)*a^(7) + (5295225)/(7936)*a^(6) + (1742523)/(15872)*a^(5) - (14523955)/(7936)*a^(4) - (8387141)/(3968)*a^(3) - (3687369)/(1984)*a^(2) - (787045)/(992)*a - (157127)/(496) , (96133)/(31744)*a^(20) - (609301)/(31744)*a^(19) + (2298357)/(31744)*a^(18) - (4844451)/(31744)*a^(17) + (5368391)/(31744)*a^(16) - (1722727)/(31744)*a^(15) - (109059)/(992)*a^(14) - (1869371)/(15872)*a^(13) + (3533537)/(31744)*a^(12) + (9282959)/(31744)*a^(11) - (4794537)/(31744)*a^(10) - (4231773)/(31744)*a^(9) + (25745087)/(31744)*a^(8) + (62133701)/(31744)*a^(7) + (7787513)/(7936)*a^(6) - (20311917)/(15872)*a^(5) - (27421819)/(7936)*a^(4) - (14222605)/(3968)*a^(3) - (4788913)/(1984)*a^(2) - (990621)/(992)*a - (131359)/(496) , (69763)/(31744)*a^(20) - (510979)/(31744)*a^(19) + (2178307)/(31744)*a^(18) - (5702933)/(31744)*a^(17) + (9659921)/(31744)*a^(16) - (11044545)/(31744)*a^(15) + (537035)/(1984)*a^(14) - (5596821)/(15872)*a^(13) + (13548791)/(31744)*a^(12) - (7553847)/(31744)*a^(11) + (5010273)/(31744)*a^(10) - (7714427)/(31744)*a^(9) + (26318697)/(31744)*a^(8) + (17891171)/(31744)*a^(7) + (1854279)/(7936)*a^(6) - (16087611)/(15872)*a^(5) - (11360701)/(7936)*a^(4) - (5344491)/(3968)*a^(3) - (1359287)/(1984)*a^(2) - (267115)/(992)*a - (14825)/(496) , (69)/(7936)*a^(20) + (841)/(256)*a^(19) - (192675)/(7936)*a^(18) + (820961)/(7936)*a^(17) - (2132721)/(7936)*a^(16) + (3523365)/(7936)*a^(15) - (236077)/(496)*a^(14) + (1243261)/(3968)*a^(13) - (3345015)/(7936)*a^(12) + (4615571)/(7936)*a^(11) - (2617417)/(7936)*a^(10) + (1633815)/(7936)*a^(9) - (2994177)/(7936)*a^(8) + (10616777)/(7936)*a^(7) + (1557179)/(1984)*a^(6) + (873903)/(3968)*a^(5) - (3264767)/(1984)*a^(4) - (2044417)/(992)*a^(3) - (930493)/(496)*a^(2) - (201305)/(248)*a - (40751)/(124) , (870583)/(31744)*a^(20) - (6210007)/(31744)*a^(19) + (25806455)/(31744)*a^(18) - (64730465)/(31744)*a^(17) + (101420877)/(31744)*a^(16) - (99474141)/(31744)*a^(15) + (3333143)/(1984)*a^(14) - (43316289)/(15872)*a^(13) + (119093787)/(31744)*a^(12) - (41825083)/(31744)*a^(11) + (18652573)/(31744)*a^(10) - (69538799)/(31744)*a^(9) + (311739781)/(31744)*a^(8) + (285752887)/(31744)*a^(7) + (21021435)/(7936)*a^(6) - (201220687)/(15872)*a^(5) - (155324649)/(7936)*a^(4) - (72265295)/(3968)*a^(3) - (636549)/(64)*a^(2) - (3956639)/(992)*a - (374261)/(496) ], 182519624586, [[x^3 - x^2 - 4*x + 2, 1]]]