/* 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 + 5*x^16 - 4*x^15 + 30*x^14 + 20*x^13 + 25*x^12 + 60*x^11 + 46*x^10 + 60*x^9 + 25*x^8 + 20*x^7 + 30*x^6 - 4*x^5 + 5*x^4 + 1, 20, 5, [0, 10], 12800000000000000000000000, [2, 5], [1, a, a^2, a^3, a^4, 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^6 - 1/2, 1/2*a^7 - 1/2*a, 1/2*a^8 - 1/2*a^2, 1/2*a^9 - 1/2*a^3, 1/4*a^10 - 1/4*a^8 - 1/4*a^6 - 1/4*a^4 + 1/4*a^2 + 1/4, 1/4*a^11 - 1/4*a^9 - 1/4*a^7 - 1/4*a^5 + 1/4*a^3 + 1/4*a, 1/4*a^12 - 1/4, 1/4*a^13 - 1/4*a, 1/8*a^14 - 1/8*a^10 - 1/4*a^9 - 1/8*a^8 - 1/8*a^6 - 1/4*a^5 + 3/8*a^4 + 1/4*a^2 - 1/4*a + 3/8, 1/16*a^15 - 1/16*a^14 - 1/8*a^13 + 1/16*a^11 + 1/16*a^10 + 3/16*a^9 - 1/16*a^8 - 3/16*a^7 + 1/16*a^6 + 3/16*a^5 - 5/16*a^4 - 1/2*a^3 + 3/8*a^2 + 1/16*a + 3/16, 1/32*a^16 + 1/32*a^14 + 1/16*a^13 + 1/32*a^12 + 1/16*a^11 - 3/16*a^9 - 1/4*a^8 - 1/16*a^7 + 3/16*a^5 + 15/32*a^4 - 1/16*a^3 - 1/32*a^2 - 1/4*a - 1/32, 1/32*a^17 - 1/32*a^15 - 3/32*a^13 + 1/16*a^12 - 1/16*a^11 - 1/8*a^10 - 3/16*a^9 + 1/8*a^8 + 3/16*a^7 - 1/4*a^6 + 1/32*a^5 + 3/8*a^4 - 1/32*a^3 - 3/8*a^2 - 3/32*a + 7/16, 1/5728*a^18 - 9/2864*a^17 - 35/5728*a^16 - 17/1432*a^15 - 347/5728*a^14 + 7/179*a^13 + 13/716*a^12 + 215/2864*a^11 - 15/179*a^10 + 197/2864*a^9 + 119/716*a^8 + 573/2864*a^7 - 433/5728*a^6 + 235/1432*a^5 - 2853/5728*a^4 - 1287/2864*a^3 + 323/5728*a^2 + 1423/2864*a + 291/716, 1/5728*a^19 - 1/5728*a^17 + 9/2864*a^16 - 139/5728*a^15 + 2/179*a^14 - 259/2864*a^13 - 281/2864*a^12 - 129/2864*a^11 + 22/179*a^10 - 95/2864*a^9 + 185/1432*a^8 - 211/5728*a^7 + 83/716*a^6 - 253/5728*a^5 + 423/2864*a^4 + 2321/5728*a^3 + 375/1432*a^2 + 85/179*a + 725/2864], 0, 2, [2], 0, [ (241)/(1432)*a^(19) + (391)/(5728)*a^(18) + (411)/(5728)*a^(17) - (225)/(2864)*a^(16) + (4633)/(5728)*a^(15) - (461)/(1432)*a^(14) + (29467)/(5728)*a^(13) + (27125)/(5728)*a^(12) + (11269)/(1432)*a^(11) + (31583)/(2864)*a^(10) + (1988)/(179)*a^(9) + (43565)/(2864)*a^(8) + (4675)/(716)*a^(7) + (23651)/(5728)*a^(6) + (16785)/(5728)*a^(5) - (1739)/(1432)*a^(4) + (5039)/(5728)*a^(3) - (7987)/(2864)*a^(2) - (6055)/(5728)*a - (2663)/(5728) , (1563)/(5728)*a^(19) + (697)/(2864)*a^(18) - (879)/(5728)*a^(17) - (787)/(5728)*a^(16) + (7645)/(5728)*a^(15) + (985)/(5728)*a^(14) + (9279)/(1432)*a^(13) + (72607)/(5728)*a^(12) + (21471)/(2864)*a^(11) + (44671)/(2864)*a^(10) + (56323)/(2864)*a^(9) + (44523)/(2864)*a^(8) + (42655)/(5728)*a^(7) - (6271)/(1432)*a^(6) + (19921)/(5728)*a^(5) + (8557)/(5728)*a^(4) - (23083)/(5728)*a^(3) - (1039)/(5728)*a^(2) - (319)/(2864)*a + (2499)/(5728) , (495)/(5728)*a^(19) + (49)/(716)*a^(18) + (63)/(716)*a^(17) - (335)/(5728)*a^(16) + (1047)/(2864)*a^(15) + (13)/(5728)*a^(14) + (15947)/(5728)*a^(13) + (18011)/(5728)*a^(12) + (8691)/(1432)*a^(11) + (20553)/(2864)*a^(10) + (2589)/(358)*a^(9) + (31253)/(2864)*a^(8) + (34401)/(5728)*a^(7) + (8051)/(2864)*a^(6) + (1249)/(1432)*a^(5) - (4907)/(5728)*a^(4) + (6309)/(2864)*a^(3) - (10311)/(5728)*a^(2) - (2619)/(5728)*a + (1247)/(5728) , (1247)/(5728)*a^(19) - (495)/(5728)*a^(18) - (49)/(716)*a^(17) - (63)/(716)*a^(16) + (3285)/(2864)*a^(15) - (3541)/(2864)*a^(14) + (37397)/(5728)*a^(13) + (8993)/(5728)*a^(12) + (3291)/(1432)*a^(11) + (5007)/(716)*a^(10) + (508)/(179)*a^(9) + (8349)/(1432)*a^(8) - (31331)/(5728)*a^(7) - (9461)/(5728)*a^(6) + (5327)/(1432)*a^(5) - (312)/(179)*a^(4) + (5571)/(2864)*a^(3) - (6309)/(2864)*a^(2) + (10311)/(5728)*a + (2619)/(5728) , (79)/(179)*a^(19) + (245)/(1432)*a^(18) - (299)/(5728)*a^(17) - (63)/(1432)*a^(16) + (12463)/(5728)*a^(15) - (1249)/(1432)*a^(14) + (70473)/(5728)*a^(13) + (39945)/(2864)*a^(12) + (36917)/(2864)*a^(11) + (41107)/(1432)*a^(10) + (78379)/(2864)*a^(9) + (43811)/(1432)*a^(8) + (46921)/(2864)*a^(7) + (10337)/(1432)*a^(6) + (75945)/(5728)*a^(5) + (405)/(358)*a^(4) + (5723)/(5728)*a^(3) - (431)/(716)*a^(2) - (5235)/(5728)*a - (565)/(2864) , (317)/(5728)*a^(19) + (615)/(2864)*a^(18) + (69)/(1432)*a^(17) - (649)/(5728)*a^(16) + (339)/(1432)*a^(15) + (4641)/(5728)*a^(14) + (6241)/(5728)*a^(13) + (39087)/(5728)*a^(12) + (21287)/(2864)*a^(11) + (4395)/(716)*a^(10) + (38923)/(2864)*a^(9) + (15939)/(1432)*a^(8) + (53893)/(5728)*a^(7) + (6135)/(2864)*a^(6) + (15)/(2864)*a^(5) + (14465)/(5728)*a^(4) - (169)/(2864)*a^(3) + (3387)/(5728)*a^(2) + (5781)/(5728)*a - (1835)/(5728) , (1351)/(5728)*a^(19) - (861)/(5728)*a^(18) - (889)/(5728)*a^(17) - (321)/(5728)*a^(16) + (7515)/(5728)*a^(15) - (9643)/(5728)*a^(14) + (19775)/(2864)*a^(13) + (719)/(1432)*a^(12) - (617)/(716)*a^(11) + (7261)/(1432)*a^(10) + (150)/(179)*a^(9) - (493)/(716)*a^(8) - (55283)/(5728)*a^(7) - (25367)/(5728)*a^(6) + (21665)/(5728)*a^(5) - (23939)/(5728)*a^(4) - (9523)/(5728)*a^(3) + (3147)/(5728)*a^(2) + (3915)/(2864)*a + (45)/(179) , (337)/(1432)*a^(19) - (325)/(2864)*a^(18) + (1223)/(5728)*a^(17) + (29)/(1432)*a^(16) + (7009)/(5728)*a^(15) - (2147)/(1432)*a^(14) + (49167)/(5728)*a^(13) + (809)/(1432)*a^(12) + (29143)/(2864)*a^(11) + (22941)/(1432)*a^(10) + (31901)/(2864)*a^(9) + (33641)/(1432)*a^(8) + (32897)/(2864)*a^(7) + (54841)/(2864)*a^(6) + (82755)/(5728)*a^(5) + (2977)/(716)*a^(4) + (63141)/(5728)*a^(3) + (653)/(716)*a^(2) + (16099)/(5728)*a + (981)/(1432) , (119)/(5728)*a^(19) + (801)/(5728)*a^(18) + (499)/(5728)*a^(17) + (241)/(5728)*a^(16) + (591)/(5728)*a^(15) + (3539)/(5728)*a^(14) + (9)/(16)*a^(13) + (793)/(179)*a^(12) + (1033)/(179)*a^(11) + (5551)/(716)*a^(10) + (9057)/(716)*a^(9) + (19333)/(1432)*a^(8) + (100941)/(5728)*a^(7) + (62975)/(5728)*a^(6) + (53373)/(5728)*a^(5) + (54711)/(5728)*a^(4) + (23041)/(5728)*a^(3) + (15857)/(5728)*a^(2) + (1407)/(2864)*a + (77)/(716) ], 26927.8287731, [[x^2 - x - 1, 1], [x^4 + 10*x^2 + 20, 1], [x^5 + 5*x^3 + 5*x - 2, 5], [x^10 + 5*x^8 + 5*x^6 - 5*x^4 - 5*x^2 - 5, 5]]]