/* 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^22 + 6*x^20 + 16*x^18 + 18*x^16 + 4*x^14 + 6*x^12 + 25*x^10 + 3*x^8 - 19*x^6 - 4*x^4 + 4*x^2 + 1, 22, 53, [0, 11], -2613825179875044875466440704, [2, 971, 25709231], [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, 1/181121*a^20 - 52104/181121*a^18 - 45455/181121*a^16 - 40370/181121*a^14 - 39711/181121*a^12 + 32791/181121*a^10 - 43471/181121*a^8 - 6534/181121*a^6 - 20759/181121*a^4 - 84247/181121*a^2 - 80745/181121, 1/181121*a^21 - 52104/181121*a^19 - 45455/181121*a^17 - 40370/181121*a^15 - 39711/181121*a^13 + 32791/181121*a^11 - 43471/181121*a^9 - 6534/181121*a^7 - 20759/181121*a^5 - 84247/181121*a^3 - 80745/181121*a], 0, 1, [], 1, [ (25213)/(181121)*a^(20) + (153582)/(181121)*a^(18) + (439015)/(181121)*a^(16) + (594573)/(181121)*a^(14) + (365687)/(181121)*a^(12) + (304360)/(181121)*a^(10) + (653332)/(181121)*a^(8) + (440610)/(181121)*a^(6) - (138098)/(181121)*a^(4) - (294765)/(181121)*a^(2) + (157476)/(181121) , (251562)/(181121)*a^(20) + (1427048)/(181121)*a^(18) + (3583803)/(181121)*a^(16) + (3518950)/(181121)*a^(14) + (312415)/(181121)*a^(12) + (1987049)/(181121)*a^(10) + (5867908)/(181121)*a^(8) - (938638)/(181121)*a^(6) - (3717306)/(181121)*a^(4) + (530001)/(181121)*a^(2) + (527581)/(181121) , a , (249258)/(181121)*a^(20) + (1391441)/(181121)*a^(18) + (3443064)/(181121)*a^(16) + (3254115)/(181121)*a^(14) + (159333)/(181121)*a^(12) + (1964042)/(181121)*a^(10) + (5502937)/(181121)*a^(8) - (1279587)/(181121)*a^(6) - (3523393)/(181121)*a^(4) + (292256)/(181121)*a^(2) + (552794)/(181121) , (295083)/(181121)*a^(20) + (1624905)/(181121)*a^(18) + (3902552)/(181121)*a^(16) + (3268759)/(181121)*a^(14) - (780160)/(181121)*a^(12) + (1669559)/(181121)*a^(10) + (6318725)/(181121)*a^(8) - (2393850)/(181121)*a^(6) - (5006044)/(181121)*a^(4) + (992080)/(181121)*a^(2) + (896320)/(181121) , (383825)/(181121)*a^(21) + (2193109)/(181121)*a^(19) + (5510822)/(181121)*a^(17) + (5319930)/(181121)*a^(15) - (17941)/(181121)*a^(13) + (2261858)/(181121)*a^(11) + (8847116)/(181121)*a^(9) - (1560152)/(181121)*a^(7) - (7011862)/(181121)*a^(5) + (332960)/(181121)*a^(3) + (1294774)/(181121)*a , (193767)/(181121)*a^(21) - (170831)/(181121)*a^(20) + (1097740)/(181121)*a^(19) - (937605)/(181121)*a^(18) + (2770939)/(181121)*a^(17) - (2250980)/(181121)*a^(16) + (2777894)/(181121)*a^(15) - (1908057)/(181121)*a^(14) + (425469)/(181121)*a^(13) + (345028)/(181121)*a^(12) + (1719106)/(181121)*a^(11) - (1095759)/(181121)*a^(10) + (4677115)/(181121)*a^(9) - (3570140)/(181121)*a^(8) - (400030)/(181121)*a^(7) + (1409999)/(181121)*a^(6) - (2609679)/(181121)*a^(5) + (2467243)/(181121)*a^(4) + (147281)/(181121)*a^(3) - (599887)/(181121)*a^(2) + (421170)/(181121)*a - (426265)/(181121) , (212317)/(181121)*a^(21) + (87823)/(181121)*a^(20) + (1211317)/(181121)*a^(19) + (454715)/(181121)*a^(18) + (3061186)/(181121)*a^(17) + (999101)/(181121)*a^(16) + (3030850)/(181121)*a^(15) + (572428)/(181121)*a^(14) + (224405)/(181121)*a^(13) - (597661)/(181121)*a^(12) + (1425596)/(181121)*a^(11) + (523456)/(181121)*a^(10) + (4821878)/(181121)*a^(9) + (1726015)/(181121)*a^(8) - (798023)/(181121)*a^(7) - (1312001)/(181121)*a^(6) - (3531488)/(181121)*a^(5) - (1221518)/(181121)*a^(4) + (77419)/(181121)*a^(3) + (693053)/(181121)*a^(2) + (472090)/(181121)*a + (343499)/(181121) , (42440)/(181121)*a^(21) + (137358)/(181121)*a^(20) + (193650)/(181121)*a^(19) + (819567)/(181121)*a^(18) + (371813)/(181121)*a^(17) + (2168674)/(181121)*a^(16) + (101860)/(181121)*a^(15) + (2412649)/(181121)*a^(14) - (185056)/(181121)*a^(13) + (559861)/(181121)*a^(12) + (640760)/(181121)*a^(11) + (1075876)/(181121)*a^(10) + (713750)/(181121)*a^(9) + (3729930)/(181121)*a^(8) - (731193)/(181121)*a^(7) + (500746)/(181121)*a^(6) + (322826)/(181121)*a^(5) - (2381392)/(181121)*a^(4) + (429223)/(181121)*a^(3) - (178736)/(181121)*a^(2) - (189601)/(181121)*a + (516088)/(181121) , (153362)/(181121)*a^(21) + (21341)/(181121)*a^(20) + (828235)/(181121)*a^(19) + (131476)/(181121)*a^(18) + (1907669)/(181121)*a^(17) + (391163)/(181121)*a^(16) + (1303050)/(181121)*a^(15) + (599790)/(181121)*a^(14) - (1051483)/(181121)*a^(13) + (536071)/(181121)*a^(12) + (431019)/(181121)*a^(11) + (484550)/(181121)*a^(10) + (3162444)/(181121)*a^(9) + (530514)/(181121)*a^(8) - (1736025)/(181121)*a^(7) + (383318)/(181121)*a^(6) - (3156998)/(181121)*a^(5) + (185268)/(181121)*a^(4) + (883726)/(181121)*a^(3) - (470423)/(181121)*a^(2) + (1114806)/(181121)*a - (356093)/(181121) ], 24986.318925, [[x^11 - 2*x^8 + 4*x^4 - x^3 - 3*x^2 + x + 1, 1]]]