/* 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 - 11*x^21 + 67*x^20 - 285*x^19 + 929*x^18 - 2433*x^17 + 5271*x^16 - 9630*x^15 + 15091*x^14 - 20633*x^13 + 25057*x^12 - 27453*x^11 + 27302*x^10 - 24426*x^9 + 19254*x^8 - 13050*x^7 + 7570*x^6 - 3890*x^5 + 1921*x^4 - 927*x^3 + 362*x^2 - 87*x + 9, 22, 2, [0, 11], -578978183833808423828407471, [271], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/3*a^12 - 1/3*a^4, 1/3*a^13 - 1/3*a^5, 1/3*a^14 - 1/3*a^6, 1/3*a^15 - 1/3*a^7, 1/3*a^16 - 1/3*a^8, 1/3*a^17 - 1/3*a, 1/27*a^18 - 1/9*a^16 + 1/9*a^15 + 1/9*a^13 - 2/27*a^10 + 1/9*a^9 - 2/9*a^8 - 1/9*a^7 - 1/9*a^5 + 10/27*a^2 - 1/9*a - 1/3, 1/81*a^19 + 1/81*a^18 + 2/27*a^17 - 1/9*a^16 - 2/27*a^15 + 1/27*a^14 + 4/27*a^13 + 7/81*a^11 + 1/81*a^10 - 4/27*a^9 - 7/27*a^7 + 8/27*a^6 + 5/27*a^5 + 1/3*a^4 - 26/81*a^3 + 34/81*a^2 - 4/27*a - 4/9, 1/148473*a^20 - 10/148473*a^19 + 2560/148473*a^18 - 7585/49491*a^17 + 4171/49491*a^16 + 6152/49491*a^15 - 5677/49491*a^14 - 587/3807*a^13 - 24644/148473*a^12 - 2884/148473*a^11 + 4027/148473*a^10 - 5464/49491*a^9 - 9223/49491*a^8 + 9751/49491*a^7 + 21301/49491*a^6 - 19351/49491*a^5 - 515/11421*a^4 + 4829/148473*a^3 - 22877/148473*a^2 - 20704/49491*a - 5644/16497, 1/148473*a^21 + 209/49491*a^19 + 1012/148473*a^18 + 2380/16497*a^17 + 430/5499*a^16 - 6479/49491*a^15 - 82/16497*a^14 + 21376/148473*a^13 - 623/49491*a^12 + 3949/49491*a^11 + 22045/148473*a^10 - 7040/49491*a^9 + 5501/16497*a^8 - 334/49491*a^7 + 4675/16497*a^6 - 20828/148473*a^5 - 20707/49491*a^4 + 2620/16497*a^3 - 56258/148473*a^2 - 2179/49491*a + 383/16497], 0, 1, [], 1, [ (695605)/(49491)*a^(21) - (817052)/(5499)*a^(20) + (4828385)/(5499)*a^(19) - (179646464)/(49491)*a^(18) + (21088270)/(1833)*a^(17) - (161011082)/(5499)*a^(16) + (1015964059)/(16497)*a^(15) - (199954799)/(1833)*a^(14) + (8197221595)/(49491)*a^(13) - (3621182783)/(16497)*a^(12) + (4270128809)/(16497)*a^(11) - (13653529436)/(49491)*a^(10) + (338312881)/(1269)*a^(9) - (1265856827)/(5499)*a^(8) + (2854663187)/(16497)*a^(7) - (67307030)/(611)*a^(6) + (2960457967)/(49491)*a^(5) - (485022211)/(16497)*a^(4) + (240466393)/(16497)*a^(3) - (339984797)/(49491)*a^(2) + (36140630)/(16497)*a - (1657276)/(5499) , (987238)/(148473)*a^(21) - (10616428)/(148473)*a^(20) + (63466003)/(148473)*a^(19) - (88361210)/(49491)*a^(18) + (21747550)/(3807)*a^(17) - (726083383)/(49491)*a^(16) + (1540616651)/(49491)*a^(15) - (2752404185)/(49491)*a^(14) + (12638647951)/(148473)*a^(13) - (16872199033)/(148473)*a^(12) + (20021639923)/(148473)*a^(11) - (7153237508)/(49491)*a^(10) + (147952879)/(1053)*a^(9) - (6049184477)/(49491)*a^(8) + (4589771410)/(49491)*a^(7) - (2954170348)/(49491)*a^(6) + (4851949267)/(148473)*a^(5) - (2393298787)/(148473)*a^(4) + (1181839885)/(148473)*a^(3) - (187988756)/(49491)*a^(2) + (6904601)/(5499)*a - (987905)/(5499) , (1307986)/(49491)*a^(21) - (4583665)/(16497)*a^(20) + (80954372)/(49491)*a^(19) - (111168563)/(16497)*a^(18) + (27014380)/(1269)*a^(17) - (296957152)/(5499)*a^(16) + (69172609)/(611)*a^(15) - (70154648)/(351)*a^(14) + (14970526717)/(49491)*a^(13) - (2197699951)/(5499)*a^(12) + (23260042046)/(49491)*a^(11) - (8243165807)/(16497)*a^(10) + (7945030928)/(16497)*a^(9) - (2279156447)/(5499)*a^(8) + (189533336)/(611)*a^(7) - (3240176960)/(16497)*a^(6) + (5255733004)/(49491)*a^(5) - (859641359)/(16497)*a^(4) + (1281839342)/(49491)*a^(3) - (200139800)/(16497)*a^(2) + (20822071)/(5499)*a - (310185)/(611) , (987833)/(49491)*a^(21) - (31462118)/(148473)*a^(20) + (186488921)/(148473)*a^(19) - (59467139)/(11421)*a^(18) + (818854685)/(49491)*a^(17) - (160713890)/(3807)*a^(16) + (4405332749)/(49491)*a^(15) - (7822607692)/(49491)*a^(14) + (3968590802)/(16497)*a^(13) - (47439689600)/(148473)*a^(12) + (4311589952)/(11421)*a^(11) - (59845497863)/(148473)*a^(10) + (19313532335)/(49491)*a^(9) - (16715879449)/(49491)*a^(8) + (12603503470)/(49491)*a^(7) - (8053232504)/(49491)*a^(6) + (4386460132)/(49491)*a^(5) - (6476442677)/(148473)*a^(4) + (3206959451)/(148473)*a^(3) - (116647355)/(11421)*a^(2) + (163649417)/(49491)*a - (7705027)/(16497) , (243190)/(148473)*a^(21) - (2091038)/(148473)*a^(20) + (10400150)/(148473)*a^(19) - (35622727)/(148473)*a^(18) + (30316835)/(49491)*a^(17) - (58872899)/(49491)*a^(16) + (28577749)/(16497)*a^(15) - (84180361)/(49491)*a^(14) + (85427923)/(148473)*a^(13) + (254809444)/(148473)*a^(12) - (684943330)/(148473)*a^(11) + (1099522703)/(148473)*a^(10) - (159919778)/(16497)*a^(9) + (42403481)/(3807)*a^(8) - (182470372)/(16497)*a^(7) + (451992991)/(49491)*a^(6) - (868671833)/(148473)*a^(5) + (451903303)/(148473)*a^(4) - (205677853)/(148473)*a^(3) + (117792068)/(148473)*a^(2) - (20578022)/(49491)*a + (1448092)/(16497) , (987238)/(148473)*a^(21) - (10115570)/(148473)*a^(20) + (58457423)/(148473)*a^(19) - (18205819)/(11421)*a^(18) + (245075711)/(49491)*a^(17) - (47021780)/(3807)*a^(16) + (419913493)/(16497)*a^(15) - (2185201768)/(49491)*a^(14) + (207447626)/(3159)*a^(13) - (269573572)/(3159)*a^(12) + (1129063004)/(11421)*a^(11) - (15391506583)/(148473)*a^(10) + (1624036862)/(16497)*a^(9) - (4113184921)/(49491)*a^(8) + (1000297115)/(16497)*a^(7) - (1839631640)/(49491)*a^(6) + (2906012101)/(148473)*a^(5) - (1411279970)/(148473)*a^(4) + (711347060)/(148473)*a^(3) - (24693853)/(11421)*a^(2) + (28523236)/(49491)*a - (950198)/(16497) , (1512778)/(148473)*a^(21) - (397792)/(3807)*a^(20) + (9969230)/(16497)*a^(19) - (363522758)/(148473)*a^(18) + (125563523)/(16497)*a^(17) - (313406059)/(16497)*a^(16) + (1938935743)/(49491)*a^(15) - (124652066)/(1833)*a^(14) + (319705526)/(3159)*a^(13) - (5131832)/(39)*a^(12) + (7547963051)/(49491)*a^(11) - (23755880390)/(148473)*a^(10) + (7523849128)/(49491)*a^(9) - (235418024)/(1833)*a^(8) + (4641357125)/(49491)*a^(7) - (316485653)/(5499)*a^(6) + (4504818655)/(148473)*a^(5) - (729970565)/(49491)*a^(4) + (368215969)/(49491)*a^(3) - (498362381)/(148473)*a^(2) + (44661860)/(49491)*a - (1559542)/(16497) , (3209632)/(148473)*a^(21) - (3797698)/(16497)*a^(20) + (67672595)/(49491)*a^(19) - (64860086)/(11421)*a^(18) + (298226368)/(16497)*a^(17) - (19543669)/(423)*a^(16) + (4829326522)/(49491)*a^(15) - (2863085842)/(16497)*a^(14) + (39276470104)/(148473)*a^(13) - (17412162776)/(49491)*a^(12) + (1584285640)/(3807)*a^(11) - (66034244636)/(148473)*a^(10) + (21332456896)/(49491)*a^(9) - (6162310159)/(16497)*a^(8) + (13960652141)/(49491)*a^(7) - (2978498975)/(16497)*a^(6) + (14613941326)/(148473)*a^(5) - (2397451660)/(49491)*a^(4) + (131781757)/(5499)*a^(3) - (129807059)/(11421)*a^(2) + (182895455)/(49491)*a - (8585191)/(16497) , (222094)/(148473)*a^(21) - (2829142)/(148473)*a^(20) + (18706591)/(148473)*a^(19) - (2175782)/(3807)*a^(18) + (97149121)/(49491)*a^(17) - (20464633)/(3807)*a^(16) + (598791392)/(49491)*a^(15) - (1130384477)/(49491)*a^(14) + (5455968370)/(148473)*a^(13) - (7608869122)/(148473)*a^(12) + (720473947)/(11421)*a^(11) - (3453284651)/(49491)*a^(10) + (3465373082)/(49491)*a^(9) - (3132455810)/(49491)*a^(8) + (2490590665)/(49491)*a^(7) - (1690339228)/(49491)*a^(6) + (2885900968)/(148473)*a^(5) - (1442303383)/(148473)*a^(4) + (697855975)/(148473)*a^(3) - (9001142)/(3807)*a^(2) + (5043008)/(5499)*a - (857846)/(5499) , (711668)/(49491)*a^(21) - (22686592)/(148473)*a^(20) + (134530654)/(148473)*a^(19) - (557854111)/(148473)*a^(18) + (45461392)/(3807)*a^(17) - (1508037289)/(49491)*a^(16) + (3179680780)/(49491)*a^(15) - (5645450132)/(49491)*a^(14) + (8589994891)/(49491)*a^(13) - (34215338854)/(148473)*a^(12) + (40408725661)/(148473)*a^(11) - (43125942988)/(148473)*a^(10) + (13911570586)/(49491)*a^(9) - (12033538046)/(49491)*a^(8) + (9064721885)/(49491)*a^(7) - (5783755645)/(49491)*a^(6) + (116463631)/(1833)*a^(5) - (4638579394)/(148473)*a^(4) + (2297503807)/(148473)*a^(3) - (1087045504)/(148473)*a^(2) + (116257519)/(49491)*a - (5351744)/(16497) ], 33482.7947011, [[x^2 - x + 68, 1], [x^11 + x^9 - x^8 + 3*x^7 + 3*x^6 - 6*x^5 + 3*x^4 + 5*x^3 - 6*x^2 + 5*x + 1, 11]]]