/* 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 + 2*x^20 - 5*x^18 - 22*x^16 + 29*x^14 + 153*x^12 + 72*x^10 - 195*x^8 - 158*x^6 + 66*x^4 + 77*x^2 + 11, 22, 52, [0, 11], -492568978448025181133471744, [2, 11, 19, 547], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/2*a^11 - 1/2*a^9 - 1/2*a^7 - 1/2*a^6 - 1/2*a^4 - 1/2*a - 1/2, 1/2*a^12 - 1/2*a^10 - 1/2*a^8 - 1/2*a^7 - 1/2*a^5 - 1/2*a^2 - 1/2*a, 1/2*a^13 - 1/2*a^8 - 1/2*a^7 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^14 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^15 - 1/2*a^10 - 1/2*a^9 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/2*a^16 - 1/2*a^10 - 1/2*a^9 - 1/2*a^5 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^17 - 1/2*a^10 - 1/2*a^9 - 1/2*a^7 - 1/2*a^2 - 1/2, 1/2*a^18 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^4 - 1/2*a^3 - 1/2, 1/4*a^19 - 1/4*a^18 - 1/4*a^17 - 1/4*a^14 - 1/4*a^13 - 1/4*a^12 - 1/4*a^11 - 1/4*a^8 - 1/4*a^7 - 1/4*a^6 - 1/4*a^5 - 1/2*a^4 + 1/4*a^3 - 1/2*a + 1/4, 1/5528348828*a^20 - 272817717/1382087207*a^18 - 1/4*a^17 - 42819692/1382087207*a^16 - 1/4*a^15 - 123044705/1382087207*a^14 - 250642240/1382087207*a^12 - 1/4*a^11 - 28171175/1382087207*a^10 - 1/4*a^9 - 392133315/2764174414*a^8 - 439687842/1382087207*a^6 + 1/4*a^5 - 287650587/5528348828*a^4 - 1/4*a^3 + 359620784/1382087207*a^2 + 1/4*a + 389481833/5528348828, 1/5528348828*a^21 + 290816339/5528348828*a^19 + 1210808439/5528348828*a^17 - 1/4*a^16 - 123044705/1382087207*a^15 - 1/4*a^14 + 379518247/5528348828*a^13 + 1269402507/5528348828*a^11 + 1/4*a^10 + 494976946/1382087207*a^9 + 1/4*a^8 - 376664161/5528348828*a^7 + 273609155/1382087207*a^5 - 1/4*a^4 - 2707778485/5528348828*a^3 - 1/4*a^2 + 389481833/5528348828*a + 1/4], 0, 1, [], 1, [ (792725095)/(2764174414)*a^(20) + (845642949)/(2764174414)*a^(18) - (4822819285)/(2764174414)*a^(16) - (6523716598)/(1382087207)*a^(14) + (35529305711)/(2764174414)*a^(12) + (89448549059)/(2764174414)*a^(10) - (14444533207)/(1382087207)*a^(8) - (136607873999)/(2764174414)*a^(6) - (122842295)/(1382087207)*a^(4) + (62883390701)/(2764174414)*a^(2) + (7405295673)/(2764174414) , (130212107)/(1382087207)*a^(20) + (351159339)/(2764174414)*a^(18) - (767186051)/(1382087207)*a^(16) - (4778588097)/(2764174414)*a^(14) + (10662317313)/(2764174414)*a^(12) + (16619452600)/(1382087207)*a^(10) - (2366231549)/(2764174414)*a^(8) - (51700747649)/(2764174414)*a^(6) - (5722998043)/(1382087207)*a^(4) + (13661929029)/(1382087207)*a^(2) + (8786648363)/(2764174414) , (82067133)/(1382087207)*a^(21) - (90652948)/(1382087207)*a^(20) + (226279087)/(2764174414)*a^(19) - (131116289)/(2764174414)*a^(18) - (1015796519)/(2764174414)*a^(17) + (584425643)/(1382087207)*a^(16) - (1507241424)/(1382087207)*a^(15) + (1289707498)/(1382087207)*a^(14) + (3482615631)/(1382087207)*a^(13) - (4565247214)/(1382087207)*a^(12) + (10765147189)/(1382087207)*a^(11) - (17546434451)/(2764174414)*a^(10) - (2089045921)/(1382087207)*a^(9) + (6860215196)/(1382087207)*a^(8) - (17113364174)/(1382087207)*a^(7) + (13801524156)/(1382087207)*a^(6) - (1351764775)/(2764174414)*a^(5) - (10668085715)/(2764174414)*a^(4) + (18187624031)/(2764174414)*a^(3) - (13528845471)/(2764174414)*a^(2) + (783669952)/(1382087207)*a + (740922315)/(2764174414) , (621954672)/(1382087207)*a^(21) - (82067133)/(1382087207)*a^(20) + (1551404837)/(2764174414)*a^(19) - (226279087)/(2764174414)*a^(18) - (3677106611)/(1382087207)*a^(17) + (1015796519)/(2764174414)*a^(16) - (21863451503)/(2764174414)*a^(15) + (1507241424)/(1382087207)*a^(14) + (26093579181)/(1382087207)*a^(13) - (3482615631)/(1382087207)*a^(12) + (150788251185)/(2764174414)*a^(11) - (10765147189)/(1382087207)*a^(10) - (10524351043)/(1382087207)*a^(9) + (2089045921)/(1382087207)*a^(8) - (112389138020)/(1382087207)*a^(7) + (17113364174)/(1382087207)*a^(6) - (38202455867)/(2764174414)*a^(5) + (1351764775)/(2764174414)*a^(4) + (99849352315)/(2764174414)*a^(3) - (18187624031)/(2764174414)*a^(2) + (13555162035)/(1382087207)*a - (783669952)/(1382087207) , (27809283)/(5528348828)*a^(21) - (1519432397)/(5528348828)*a^(20) + (13537877)/(5528348828)*a^(19) - (449715975)/(1382087207)*a^(18) - (35202689)/(2764174414)*a^(17) + (8986223935)/(5528348828)*a^(16) - (162222587)/(5528348828)*a^(15) + (25904070557)/(5528348828)*a^(14) + (1049568311)/(5528348828)*a^(13) - (16233212638)/(1382087207)*a^(12) + (122535089)/(2764174414)*a^(11) - (177755223951)/(5528348828)*a^(10) + (446478131)/(5528348828)*a^(9) + (34174578911)/(5528348828)*a^(8) + (9588286087)/(5528348828)*a^(7) + (64135777840)/(1382087207)*a^(6) + (12145524109)/(5528348828)*a^(5) + (9722562645)/(2764174414)*a^(4) - (2773659603)/(2764174414)*a^(3) - (112801721585)/(5528348828)*a^(2) - (3260679123)/(2764174414)*a - (9891847765)/(2764174414) , (266134191)/(5528348828)*a^(21) + (261542197)/(5528348828)*a^(20) + (674345561)/(5528348828)*a^(19) + (87840017)/(1382087207)*a^(18) - (641237135)/(2764174414)*a^(17) - (1484814403)/(5528348828)*a^(16) - (6686484679)/(5528348828)*a^(15) - (4716759661)/(5528348828)*a^(14) + (6105464775)/(5528348828)*a^(13) + (5183226471)/(2764174414)*a^(12) + (23974784903)/(2764174414)*a^(11) + (32290950357)/(5528348828)*a^(10) + (28606710819)/(5528348828)*a^(9) - (237743625)/(5528348828)*a^(8) - (61771696103)/(5528348828)*a^(7) - (11228544917)/(1382087207)*a^(6) - (50415096753)/(5528348828)*a^(5) - (5857307863)/(2764174414)*a^(4) + (13686273363)/(2764174414)*a^(3) + (17902842683)/(5528348828)*a^(2) + (4760465919)/(1382087207)*a + (1229656891)/(2764174414) , (1534733111)/(5528348828)*a^(21) + (302451419)/(5528348828)*a^(20) + (1943220303)/(5528348828)*a^(19) + (67717701)/(1382087207)*a^(18) - (2231851955)/(1382087207)*a^(17) - (1784334025)/(5528348828)*a^(16) - (26898164991)/(5528348828)*a^(15) - (4562622843)/(5528348828)*a^(14) + (63493844095)/(5528348828)*a^(13) + (3462716722)/(1382087207)*a^(12) + (46213422775)/(1382087207)*a^(11) + (30194618897)/(5528348828)*a^(10) - (20264675033)/(5528348828)*a^(9) - (12479272523)/(5528348828)*a^(8) - (262270403113)/(5528348828)*a^(7) - (10098884160)/(1382087207)*a^(6) - (37301012185)/(5528348828)*a^(5) + (2266703663)/(1382087207)*a^(4) + (57154517445)/(2764174414)*a^(3) + (18835903649)/(5528348828)*a^(2) + (6371911146)/(1382087207)*a - (548029862)/(1382087207) , (505236041)/(1382087207)*a^(21) + (597613211)/(2764174414)*a^(20) + (2619299201)/(5528348828)*a^(19) + (1400341497)/(5528348828)*a^(18) - (11731800113)/(5528348828)*a^(17) - (1735255708)/(1382087207)*a^(16) - (8954908037)/(1382087207)*a^(15) - (20124738905)/(5528348828)*a^(14) + (82752009339)/(5528348828)*a^(13) + (50487852617)/(5528348828)*a^(12) + (246669753131)/(5528348828)*a^(11) + (34201379778)/(1382087207)*a^(10) - (10681018665)/(2764174414)*a^(9) - (22539322209)/(5528348828)*a^(8) - (349897878913)/(5528348828)*a^(7) - (185635553667)/(5528348828)*a^(6) - (61471116611)/(5528348828)*a^(5) - (8034572391)/(2764174414)*a^(4) + (148790390151)/(5528348828)*a^(3) + (34224800965)/(2764174414)*a^(2) + (8235314666)/(1382087207)*a + (9672062269)/(5528348828) , (2385920)/(19466017)*a^(21) + (1022360195)/(5528348828)*a^(20) + (12239317)/(77864068)*a^(19) + (1522753979)/(5528348828)*a^(18) - (28620319)/(38932034)*a^(17) - (2907160191)/(2764174414)*a^(16) - (170462477)/(77864068)*a^(15) - (19472737785)/(5528348828)*a^(14) + (402421187)/(77864068)*a^(13) + (39143793413)/(5528348828)*a^(12) + (297235319)/(19466017)*a^(11) + (33848084895)/(1382087207)*a^(10) - (183503801)/(77864068)*a^(9) + (8080078483)/(5528348828)*a^(8) - (1845561793)/(77864068)*a^(7) - (196756262851)/(5528348828)*a^(6) - (68427910)/(19466017)*a^(5) - (64917983493)/(5528348828)*a^(4) + (485153443)/(38932034)*a^(3) + (45318192341)/(2764174414)*a^(2) + (249210469)/(77864068)*a + (9064802172)/(1382087207) , (254714171)/(2764174414)*a^(20) + (183315641)/(2764174414)*a^(18) - (769284451)/(1382087207)*a^(16) - (3556982363)/(2764174414)*a^(14) + (12284360861)/(2764174414)*a^(12) + (11600628190)/(1382087207)*a^(10) - (14747669305)/(2764174414)*a^(8) - (30590836639)/(2764174414)*a^(6) + (13337950355)/(2764174414)*a^(4) + (4866083003)/(1382087207)*a^(2) - (2530486308)/(1382087207) ], 19198.3237336, [[x^11 - x^9 + x^7 - x^6 + 2*x^5 + x^4 - 2*x^3 - x - 1, 1]]]