/* 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 + 16*x^19 - 26*x^18 + 29*x^17 - 36*x^16 + 50*x^15 - 50*x^14 + 35*x^13 - 14*x^12 + 100*x^11 - 22*x^10 - 25*x^9 - 112*x^8 - 78*x^7 - 286*x^6 - 632*x^5 - 1000*x^4 - 1000*x^3 - 688*x^2 - 288*x - 64, 21, 62, [1, 10], 2421032603211455207440720697704448, [2, 11, 283, 6311], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3, 1/2*a^7 - 1/2*a^3, 1/2*a^8 - 1/2*a^4, 1/2*a^9 - 1/2*a^5, 1/4*a^10 - 1/4*a^9 - 1/4*a^6 + 1/4*a^5 - 1/2*a^4 - 1/2*a^2, 1/4*a^11 - 1/4*a^9 - 1/4*a^7 - 1/4*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/8*a^12 - 1/8*a^10 - 1/4*a^9 - 1/8*a^8 - 1/8*a^6 - 1/2*a^5 - 1/4*a^4 - 1/4*a^3 - 1/2*a^2, 1/8*a^13 - 1/8*a^11 + 1/8*a^9 - 1/8*a^7 - 1/4*a^6 - 1/4*a^4 - 1/2*a^2, 1/16*a^14 - 1/16*a^13 - 1/16*a^12 - 1/16*a^11 + 1/16*a^10 - 3/16*a^9 + 3/16*a^8 - 3/16*a^7 + 1/8*a^6 + 1/4*a^5 - 3/8*a^4 + 1/4*a^3 - 1/2*a^2 - 1/2*a, 1/16*a^15 - 1/8*a^11 + 1/8*a^9 - 1/8*a^8 - 3/16*a^7 - 1/4*a^6 + 1/8*a^5 - 1/8*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/32*a^16 - 1/16*a^12 + 1/16*a^10 + 3/16*a^9 + 5/32*a^8 + 1/8*a^7 - 3/16*a^6 - 1/16*a^5 - 1/4*a^4 + 1/4*a^3 + 1/4*a^2 - 1/2*a, 1/32*a^17 - 1/16*a^13 + 1/16*a^11 - 1/16*a^10 - 3/32*a^9 + 1/8*a^8 - 3/16*a^7 + 3/16*a^6 - 1/4*a^4 + 1/4*a^3, 1/128*a^18 + 1/128*a^17 - 1/32*a^15 + 1/64*a^14 - 3/64*a^13 + 3/64*a^12 + 3/32*a^11 + 7/128*a^10 - 27/128*a^9 + 13/64*a^8 - 1/16*a^7 - 13/64*a^6 - 3/16*a^5 - 1/4*a^4 + 7/16*a^3 + 3/8*a^2 + 1/4*a - 1/2, 1/256*a^19 + 3/256*a^17 + 3/128*a^15 - 1/32*a^14 + 1/64*a^13 - 1/128*a^12 + 3/256*a^11 - 1/128*a^10 + 33/256*a^9 + 1/128*a^8 - 13/128*a^7 - 15/128*a^6 + 1/16*a^5 + 11/32*a^4 - 9/32*a^3 + 5/16*a^2 - 1/8*a - 1/4, 1/1024*a^20 - 1/1024*a^19 + 3/1024*a^18 - 11/1024*a^17 + 7/512*a^16 - 15/512*a^15 - 5/256*a^14 + 21/512*a^13 - 43/1024*a^12 + 43/1024*a^11 + 35/1024*a^10 - 215/1024*a^9 - 5/256*a^8 + 23/256*a^7 + 103/512*a^6 + 27/128*a^5 - 5/16*a^4 - 29/128*a^3 + 29/64*a^2 + 15/32*a + 5/16], 0, 1, [], 1, [ (173)/(1024)*a^(20) - (1025)/(1024)*a^(19) + (2623)/(1024)*a^(18) - (3827)/(1024)*a^(17) + (1595)/(512)*a^(16) - (1391)/(512)*a^(15) + (883)/(256)*a^(14) - (767)/(512)*a^(13) - (3543)/(1024)*a^(12) + (9075)/(1024)*a^(11) + (5399)/(1024)*a^(10) + (8185)/(1024)*a^(9) - (4975)/(256)*a^(8) - (1411)/(256)*a^(7) - (12049)/(512)*a^(6) - (4577)/(128)*a^(5) - (3689)/(32)*a^(4) - (20061)/(128)*a^(3) - (10051)/(64)*a^(2) - (2833)/(32)*a - (483)/(16) , (55)/(64)*a^(20) - (777)/(128)*a^(19) + (159)/(8)*a^(18) - (5257)/(128)*a^(17) + (1933)/(32)*a^(16) - (4959)/(64)*a^(15) + (3135)/(32)*a^(14) - (3547)/(32)*a^(13) + (815)/(8)*a^(12) - (8647)/(128)*a^(11) + (6849)/(64)*a^(10) - (12195)/(128)*a^(9) + (1935)/(64)*a^(8) - (5249)/(64)*a^(7) - (83)/(64)*a^(6) - (1653)/(8)*a^(5) - (5289)/(16)*a^(4) - (6845)/(16)*a^(3) - (2343)/(8)*a^(2) - (537)/(4)*a - (35)/(2) , (657)/(1024)*a^(20) - (3081)/(1024)*a^(19) + (4843)/(1024)*a^(18) - (1163)/(1024)*a^(17) - (2361)/(512)*a^(16) - (4247)/(512)*a^(15) + (8551)/(256)*a^(14) - (16755)/(512)*a^(13) + (14437)/(1024)*a^(12) - (12141)/(1024)*a^(11) + (100107)/(1024)*a^(10) + (26041)/(1024)*a^(9) - (20237)/(256)*a^(8) - (28989)/(256)*a^(7) - (24633)/(512)*a^(6) - (27221)/(128)*a^(5) - 607*a^(4) - (128493)/(128)*a^(3) - (64915)/(64)*a^(2) - (18545)/(32)*a - (2427)/(16) , (321)/(1024)*a^(20) - (1833)/(1024)*a^(19) + (4331)/(1024)*a^(18) - (5083)/(1024)*a^(17) + (439)/(512)*a^(16) + (2153)/(512)*a^(15) - (2097)/(256)*a^(14) + (8877)/(512)*a^(13) - (30763)/(1024)*a^(12) + (40531)/(1024)*a^(11) - (8501)/(1024)*a^(10) + (31177)/(1024)*a^(9) - (11885)/(256)*a^(8) - (1957)/(256)*a^(7) - (24809)/(512)*a^(6) - (8517)/(128)*a^(5) - (1827)/(8)*a^(4) - (39805)/(128)*a^(3) - (20195)/(64)*a^(2) - (5825)/(32)*a - (971)/(16) , (223)/(256)*a^(20) - (703)/(128)*a^(19) + (3937)/(256)*a^(18) - (3307)/(128)*a^(17) + (3689)/(128)*a^(16) - (2079)/(64)*a^(15) + (2777)/(64)*a^(14) - (5359)/(128)*a^(13) + (4817)/(256)*a^(12) + (397)/(32)*a^(11) + (14583)/(256)*a^(10) - (1179)/(64)*a^(9) - (6937)/(128)*a^(8) - (6659)/(128)*a^(7) - (3129)/(64)*a^(6) - (6849)/(32)*a^(5) - (15813)/(32)*a^(4) - (1295)/(2)*a^(3) - (2203)/(4)*a^(2) - (561)/(2)*a - (143)/(2) , (35045)/(1024)*a^(20) - (241925)/(1024)*a^(19) + (768903)/(1024)*a^(18) - (1530271)/(1024)*a^(17) + (1071107)/(512)*a^(16) - (1322555)/(512)*a^(15) + (823699)/(256)*a^(14) - (1809727)/(512)*a^(13) + (3095001)/(1024)*a^(12) - (1677641)/(1024)*a^(11) + (3487479)/(1024)*a^(10) - (2839931)/(1024)*a^(9) + (63123)/(256)*a^(8) - (691853)/(256)*a^(7) - (418805)/(512)*a^(6) - (1028321)/(128)*a^(5) - (232297)/(16)*a^(4) - (2392073)/(128)*a^(3) - (896231)/(64)*a^(2) - (214333)/(32)*a - (21055)/(16) , (78905)/(1024)*a^(20) - (554649)/(1024)*a^(19) + (1804595)/(1024)*a^(18) - (3700043)/(1024)*a^(17) + (2695215)/(512)*a^(16) - (3438471)/(512)*a^(15) + (2177271)/(256)*a^(14) - (4932939)/(512)*a^(13) + (9034909)/(1024)*a^(12) - (5908333)/(1024)*a^(11) + (9638531)/(1024)*a^(10) - (8499095)/(1024)*a^(9) + (630759)/(256)*a^(8) - (1838705)/(256)*a^(7) - (220057)/(512)*a^(6) - (2374053)/(128)*a^(5) - (482535)/(16)*a^(4) - (5006781)/(128)*a^(3) - (1750483)/(64)*a^(2) - (406961)/(32)*a - (30139)/(16) , (45)/(64)*a^(20) - (297)/(64)*a^(19) + (55)/(4)*a^(18) - (789)/(32)*a^(17) + (477)/(16)*a^(16) - (1105)/(32)*a^(15) + (1531)/(32)*a^(14) - (909)/(16)*a^(13) + (2899)/(64)*a^(12) - (953)/(64)*a^(11) + (1885)/(32)*a^(10) - (1435)/(32)*a^(9) - (231)/(16)*a^(8) - (683)/(16)*a^(7) - (221)/(8)*a^(6) - (2739)/(16)*a^(5) - 339*a^(4) - (1691)/(4)*a^(3) - (1299)/(4)*a^(2) - (307)/(2)*a - 35 , (1627)/(1024)*a^(20) - (9627)/(1024)*a^(19) + (24377)/(1024)*a^(18) - (34177)/(1024)*a^(17) + (11965)/(512)*a^(16) - (6309)/(512)*a^(15) + (2813)/(256)*a^(14) + (6879)/(512)*a^(13) - (62873)/(1024)*a^(12) + (110377)/(1024)*a^(11) + (32969)/(1024)*a^(10) + (85339)/(1024)*a^(9) - (48243)/(256)*a^(8) - (16595)/(256)*a^(7) - (98667)/(512)*a^(6) - (43839)/(128)*a^(5) - (17077)/(16)*a^(4) - (187863)/(128)*a^(3) - (89657)/(64)*a^(2) - (23987)/(32)*a - (3697)/(16) , (65)/(64)*a^(20) - (219)/(32)*a^(19) + (673)/(32)*a^(18) - (2557)/(64)*a^(17) + (1673)/(32)*a^(16) - (975)/(16)*a^(15) + (2367)/(32)*a^(14) - (1223)/(16)*a^(13) + (3501)/(64)*a^(12) - (99)/(8)*a^(11) + (2291)/(32)*a^(10) - (3135)/(64)*a^(9) - (213)/(8)*a^(8) - (1923)/(32)*a^(7) - (1403)/(32)*a^(6) - (927)/(4)*a^(5) - (3783)/(8)*a^(4) - (4769)/(8)*a^(3) - (1877)/(4)*a^(2) - (451)/(2)*a - 52 ], 19772231044.3, [[x^3 - x^2 + x + 1, 1]]]