/* 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, 51, [6, 8], 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) , (42440)/(181121)*a^(20) - (193650)/(181121)*a^(18) + (371813)/(181121)*a^(16) - (101860)/(181121)*a^(14) - (185056)/(181121)*a^(12) - (640760)/(181121)*a^(10) + (713750)/(181121)*a^(8) + (731193)/(181121)*a^(6) + (322826)/(181121)*a^(4) - (429223)/(181121)*a^(2) - (189601)/(181121) , a , (426265)/(181121)*a^(21) - (2386759)/(181121)*a^(19) + (5882635)/(181121)*a^(17) - (5421790)/(181121)*a^(15) - (202997)/(181121)*a^(13) - (2902618)/(181121)*a^(11) + (9560866)/(181121)*a^(9) + (2291345)/(181121)*a^(7) - (6689036)/(181121)*a^(5) - (762183)/(181121)*a^(3) + (1105173)/(181121)*a , (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 , (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) - a + (157476)/(181121) , (2374)/(2551)*a^(21) + (193767)/(181121)*a^(20) - (13298)/(2551)*a^(19) - (1097740)/(181121)*a^(18) + (32844)/(2551)*a^(17) + (2770939)/(181121)*a^(16) - (30751)/(2551)*a^(15) - (2777894)/(181121)*a^(14) + (842)/(2551)*a^(13) + (425469)/(181121)*a^(12) - (19926)/(2551)*a^(11) - (1719106)/(181121)*a^(10) + (56673)/(2551)*a^(9) + (4677115)/(181121)*a^(8) + (11840)/(2551)*a^(7) + (400030)/(181121)*a^(6) - (34811)/(2551)*a^(5) - (2609679)/(181121)*a^(4) - (8777)/(2551)*a^(3) - (147281)/(181121)*a^(2) + (6265)/(2551)*a + (421170)/(181121) , a^(21) - (251562)/(181121)*a^(20) - 6*a^(19) + (1427048)/(181121)*a^(18) + 16*a^(17) - (3583803)/(181121)*a^(16) - 18*a^(15) + (3518950)/(181121)*a^(14) + 4*a^(13) - (312415)/(181121)*a^(12) - 6*a^(11) + (1987049)/(181121)*a^(10) + 25*a^(9) - (5867908)/(181121)*a^(8) - 3*a^(7) - (938638)/(181121)*a^(6) - 19*a^(5) + (3717306)/(181121)*a^(4) + 4*a^(3) + (530001)/(181121)*a^(2) + 4*a - (527581)/(181121) , (295083)/(181121)*a^(21) + (76590)/(181121)*a^(20) - (1624905)/(181121)*a^(19) - (355875)/(181121)*a^(18) + (3902552)/(181121)*a^(17) + (652775)/(181121)*a^(16) - (3268759)/(181121)*a^(15) + (21709)/(181121)*a^(14) - (780160)/(181121)*a^(13) - (987263)/(181121)*a^(12) - (1669559)/(181121)*a^(11) - (401146)/(181121)*a^(10) + (6318725)/(181121)*a^(9) + (1009058)/(181121)*a^(8) + (2393850)/(181121)*a^(7) + (1994068)/(181121)*a^(6) - (5006044)/(181121)*a^(5) - (776156)/(181121)*a^(4) - (992080)/(181121)*a^(3) - (863500)/(181121)*a^(2) + (896320)/(181121)*a + (116995)/(181121) , (332024)/(181121)*a^(21) - (163470)/(181121)*a^(20) - (1805029)/(181121)*a^(19) + (860871)/(181121)*a^(18) + (4284430)/(181121)*a^(17) - (1952506)/(181121)*a^(16) - (3492024)/(181121)*a^(15) + (1308703)/(181121)*a^(14) - (845232)/(181121)*a^(13) + (905014)/(181121)*a^(12) - (2208005)/(181121)*a^(11) + (793259)/(181121)*a^(10) + (6999784)/(181121)*a^(9) - (2976001)/(181121)*a^(8) + (2875414)/(181121)*a^(7) - (2034774)/(181121)*a^(6) - (4997949)/(181121)*a^(5) + (2526368)/(181121)*a^(4) - (1206917)/(181121)*a^(3) + (583750)/(181121)*a^(2) + (977024)/(181121)*a - (532209)/(181121) , (23645)/(181121)*a^(21) + (193767)/(181121)*a^(20) - (167083)/(181121)*a^(19) - (1097740)/(181121)*a^(18) + (531902)/(181121)*a^(17) + (2770939)/(181121)*a^(16) - (864625)/(181121)*a^(15) - (2777894)/(181121)*a^(14) + (689153)/(181121)*a^(13) + (425469)/(181121)*a^(12) - (507557)/(181121)*a^(11) - (1719106)/(181121)*a^(10) + (895485)/(181121)*a^(9) + (4677115)/(181121)*a^(8) - (724267)/(181121)*a^(7) + (400030)/(181121)*a^(6) - (8645)/(181121)*a^(5) - (2609679)/(181121)*a^(4) + (232678)/(181121)*a^(3) - (147281)/(181121)*a^(2) - (381306)/(181121)*a + (421170)/(181121) , (237106)/(181121)*a^(21) + (25213)/(181121)*a^(20) - (1179112)/(181121)*a^(19) - (153582)/(181121)*a^(18) + (2487569)/(181121)*a^(17) + (439015)/(181121)*a^(16) - (1181235)/(181121)*a^(15) - (594573)/(181121)*a^(14) - (1590149)/(181121)*a^(13) + (365687)/(181121)*a^(12) - (1772889)/(181121)*a^(11) - (304360)/(181121)*a^(10) + (3983604)/(181121)*a^(9) + (653332)/(181121)*a^(8) + (4107353)/(181121)*a^(7) - (440610)/(181121)*a^(6) - (2293731)/(181121)*a^(5) - (138098)/(181121)*a^(4) - (1814876)/(181121)*a^(3) + (294765)/(181121)*a^(2) + (271335)/(181121)*a + (157476)/(181121) ], 107375.053215, [[x^11 - 2*x^8 + 4*x^4 - x^3 - 3*x^2 + x + 1, 1]]]