/* 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 - x^21 + x^20 + x^19 + x^18 + 5*x^17 - 11*x^16 + 6*x^15 + 19*x^14 - 22*x^13 - 4*x^12 + 6*x^11 + 13*x^10 + 26*x^9 - 75*x^8 - 11*x^7 + 101*x^6 - 32*x^5 - 59*x^4 + 28*x^3 + 15*x^2 - 6*x - 1, 22, 53, [4, 9], -1897242698910438481935564683, [47147, 200601609583], [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, 1/23*a^20 + 5/23*a^19 - 9/23*a^18 - 7/23*a^16 + 9/23*a^15 + 1/23*a^14 - 3/23*a^13 + 7/23*a^12 + 2/23*a^11 + 4/23*a^10 - 4/23*a^9 - 10/23*a^8 + 11/23*a^7 + 9/23*a^5 - 6/23*a^4 + 9/23*a^3 + 5/23*a^2 - 3/23*a + 4/23, 1/140492380027*a^21 - 489918049/140492380027*a^20 + 1670174114/140492380027*a^19 + 64023947760/140492380027*a^18 - 15049179365/140492380027*a^17 - 50331626752/140492380027*a^16 + 60766032187/140492380027*a^15 - 59800005798/140492380027*a^14 + 70000161927/140492380027*a^13 - 66127248310/140492380027*a^12 + 4594787493/140492380027*a^11 - 2545358882/6108364349*a^10 + 63508459473/140492380027*a^9 - 43533025151/140492380027*a^8 + 40914747276/140492380027*a^7 + 51904774829/140492380027*a^6 - 23326460387/140492380027*a^5 - 2514555658/140492380027*a^4 - 30149135848/140492380027*a^3 - 13950411235/140492380027*a^2 - 48112699384/140492380027*a - 46026854520/140492380027], 0, 1, [], 1, [ (146135252591)/(140492380027)*a^(21) - (11393413462)/(6108364349)*a^(20) + (334836102676)/(140492380027)*a^(19) - (94416785039)/(140492380027)*a^(18) + (196299204765)/(140492380027)*a^(17) + (581743704310)/(140492380027)*a^(16) - (2094687085931)/(140492380027)*a^(15) + (2470019229450)/(140492380027)*a^(14) + (1063458664580)/(140492380027)*a^(13) - (4203772481453)/(140492380027)*a^(12) + (2508545834385)/(140492380027)*a^(11) - (774801190886)/(140492380027)*a^(10) + (2491424982795)/(140492380027)*a^(9) + (1906041534055)/(140492380027)*a^(8) - (12934767090746)/(140492380027)*a^(7) + (8095753339226)/(140492380027)*a^(6) + (9711136917935)/(140492380027)*a^(5) - (12338521454989)/(140492380027)*a^(4) - (190574776542)/(140492380027)*a^(3) + (4525666868883)/(140492380027)*a^(2) - (874800692251)/(140492380027)*a - (78910713704)/(140492380027) , (230951054654)/(140492380027)*a^(21) - (404591326234)/(140492380027)*a^(20) + (507250128116)/(140492380027)*a^(19) - (129028618879)/(140492380027)*a^(18) + (302793330696)/(140492380027)*a^(17) + (902781980471)/(140492380027)*a^(16) - (3259333439797)/(140492380027)*a^(15) + (3688034440814)/(140492380027)*a^(14) + (1887507297694)/(140492380027)*a^(13) - (6615677453483)/(140492380027)*a^(12) + (3536977370947)/(140492380027)*a^(11) - (889775313959)/(140492380027)*a^(10) + (3784004731889)/(140492380027)*a^(9) + (3126404131565)/(140492380027)*a^(8) - (20199867968825)/(140492380027)*a^(7) + (11616971544225)/(140492380027)*a^(6) + (16322045549870)/(140492380027)*a^(5) - (18984861473906)/(140492380027)*a^(4) - (69341726537)/(6108364349)*a^(3) + (7671181616855)/(140492380027)*a^(2) - (1148479940504)/(140492380027)*a - (390955532472)/(140492380027) , (253322986066)/(140492380027)*a^(21) - (421521813042)/(140492380027)*a^(20) + (544056074067)/(140492380027)*a^(19) - (142146003082)/(140492380027)*a^(18) + (356021265579)/(140492380027)*a^(17) + (1021012363762)/(140492380027)*a^(16) - (151593109582)/(6108364349)*a^(15) + (3842717461563)/(140492380027)*a^(14) + (1984118636031)/(140492380027)*a^(13) - (6696383822857)/(140492380027)*a^(12) + (3701296755771)/(140492380027)*a^(11) - (1478649070415)/(140492380027)*a^(10) + (4356522933730)/(140492380027)*a^(9) + (3981041044404)/(140492380027)*a^(8) - (21171970793051)/(140492380027)*a^(7) + (11518388941437)/(140492380027)*a^(6) + (16237543369752)/(140492380027)*a^(5) - (18323119633099)/(140492380027)*a^(4) - (457544273055)/(140492380027)*a^(3) + (6481567988379)/(140492380027)*a^(2) - (1600445705051)/(140492380027)*a - (41987988774)/(140492380027) , (96050121604)/(140492380027)*a^(21) - (182195008315)/(140492380027)*a^(20) + (258156429974)/(140492380027)*a^(19) - (83424094300)/(140492380027)*a^(18) + (148021576110)/(140492380027)*a^(17) + (423854431909)/(140492380027)*a^(16) - (1380681174936)/(140492380027)*a^(15) + (1950564067007)/(140492380027)*a^(14) + (437123620867)/(140492380027)*a^(13) - (2797941536255)/(140492380027)*a^(12) + (2441940070816)/(140492380027)*a^(11) - (822173795463)/(140492380027)*a^(10) + (1626957796089)/(140492380027)*a^(9) + (1102930949519)/(140492380027)*a^(8) - (8470449738822)/(140492380027)*a^(7) + (7108838428016)/(140492380027)*a^(6) + (4867219195812)/(140492380027)*a^(5) - (9769627012335)/(140492380027)*a^(4) + (2096554077807)/(140492380027)*a^(3) + (3036702889372)/(140492380027)*a^(2) - (1614520802367)/(140492380027)*a - (84295409530)/(140492380027) , (168198826976)/(140492380027)*a^(21) - (290733088001)/(140492380027)*a^(20) + (17194303876)/(6108364349)*a^(19) - (102698279513)/(140492380027)*a^(18) + (245602566568)/(140492380027)*a^(17) + (700088673660)/(140492380027)*a^(16) - (2322779545167)/(140492380027)*a^(15) + (2829018099223)/(140492380027)*a^(14) + (1123278129405)/(140492380027)*a^(13) - (4714588700035)/(140492380027)*a^(12) + (2998586986811)/(140492380027)*a^(11) - (1063324114872)/(140492380027)*a^(10) + (2605356593312)/(140492380027)*a^(9) + (2172746838101)/(140492380027)*a^(8) - (14304941788163)/(140492380027)*a^(7) + (9348078222914)/(140492380027)*a^(6) + (10216784078987)/(140492380027)*a^(5) - (14488511904839)/(140492380027)*a^(4) + (611475621469)/(140492380027)*a^(3) + (5400290496041)/(140492380027)*a^(2) - (1477949927622)/(140492380027)*a - (253322986066)/(140492380027) , (295755863567)/(140492380027)*a^(21) - (496991090350)/(140492380027)*a^(20) + (29012103801)/(6108364349)*a^(19) - (197404018731)/(140492380027)*a^(18) + (460768312882)/(140492380027)*a^(17) + (1168819930294)/(140492380027)*a^(16) - (4027669804489)/(140492380027)*a^(15) + (4632798535071)/(140492380027)*a^(14) + (2019699925667)/(140492380027)*a^(13) - (7743563077266)/(140492380027)*a^(12) + (4563186089844)/(140492380027)*a^(11) - (2067684607623)/(140492380027)*a^(10) + (5082486758129)/(140492380027)*a^(9) + (4158082693677)/(140492380027)*a^(8) - (24415319659781)/(140492380027)*a^(7) + (14355410286977)/(140492380027)*a^(6) + (17656589125400)/(140492380027)*a^(5) - (21855714056487)/(140492380027)*a^(4) + (348975054337)/(140492380027)*a^(3) + (7584426106497)/(140492380027)*a^(2) - (1974114174799)/(140492380027)*a - (115815896405)/(140492380027) , (29715827871)/(140492380027)*a^(21) - (33068802378)/(140492380027)*a^(20) + (14090245818)/(140492380027)*a^(19) + (35983830436)/(140492380027)*a^(18) - (7166056845)/(140492380027)*a^(17) + (128426675219)/(140492380027)*a^(16) - (401070086128)/(140492380027)*a^(15) + (88372958708)/(140492380027)*a^(14) + (650573218902)/(140492380027)*a^(13) - (869467909371)/(140492380027)*a^(12) - (305242418078)/(140492380027)*a^(11) + (347885217799)/(140492380027)*a^(10) + (252434972824)/(140492380027)*a^(9) + (892774239309)/(140492380027)*a^(8) - (2591143182611)/(140492380027)*a^(7) - (597781550642)/(140492380027)*a^(6) + (3930519127527)/(140492380027)*a^(5) - (1186290469116)/(140492380027)*a^(4) - (2291597783730)/(140492380027)*a^(3) + (1260729488551)/(140492380027)*a^(2) + (510239344493)/(140492380027)*a - (235692048932)/(140492380027) , (174712343959)/(140492380027)*a^(21) - (14294168946)/(6108364349)*a^(20) + (451934288065)/(140492380027)*a^(19) - (167025786394)/(140492380027)*a^(18) + (295129589015)/(140492380027)*a^(17) + (669912129669)/(140492380027)*a^(16) - (2468016432864)/(140492380027)*a^(15) + (3284304871626)/(140492380027)*a^(14) + (886028845721)/(140492380027)*a^(13) - (4924228734910)/(140492380027)*a^(12) + (3675938978603)/(140492380027)*a^(11) - (1273841422796)/(140492380027)*a^(10) + (3117682928521)/(140492380027)*a^(9) + (1821059076403)/(140492380027)*a^(8) - (15190851520130)/(140492380027)*a^(7) + (11425924244242)/(140492380027)*a^(6) + (9867444912462)/(140492380027)*a^(5) - (16007057150293)/(140492380027)*a^(4) + (1607812880934)/(140492380027)*a^(3) + (5521323823307)/(140492380027)*a^(2) - (1883971736999)/(140492380027)*a - (191694414035)/(140492380027) , (24618261837)/(140492380027)*a^(21) + (12587359949)/(140492380027)*a^(20) - (2069250585)/(140492380027)*a^(19) + (2483884034)/(6108364349)*a^(18) + (52644844161)/(140492380027)*a^(17) + (184148065438)/(140492380027)*a^(16) - (101548585072)/(140492380027)*a^(15) - (194996178604)/(140492380027)*a^(14) + (530090031528)/(140492380027)*a^(13) + (109772802802)/(140492380027)*a^(12) - (655451564985)/(140492380027)*a^(11) - (214261459840)/(140492380027)*a^(10) + (281713647878)/(140492380027)*a^(9) + (1114059665580)/(140492380027)*a^(8) - (29873074685)/(6108364349)*a^(7) - (2564014455608)/(140492380027)*a^(6) + (1242583656813)/(140492380027)*a^(5) + (2226966474423)/(140492380027)*a^(4) - (1357278200904)/(140492380027)*a^(3) - (972078361453)/(140492380027)*a^(2) + (550781047316)/(140492380027)*a + (9254241688)/(6108364349) , (72305931941)/(140492380027)*a^(21) - (69907344545)/(140492380027)*a^(20) + (139915306325)/(140492380027)*a^(19) - (6317318067)/(140492380027)*a^(18) + (197934307754)/(140492380027)*a^(17) + (383821678612)/(140492380027)*a^(16) - (642934719160)/(140492380027)*a^(15) + (766281657593)/(140492380027)*a^(14) + (670785355344)/(140492380027)*a^(13) - (765098761633)/(140492380027)*a^(12) + (581226592735)/(140492380027)*a^(11) - (870234678847)/(140492380027)*a^(10) + (1436187681405)/(140492380027)*a^(9) + (1742147449037)/(140492380027)*a^(8) - (4207646920700)/(140492380027)*a^(7) + (534846211740)/(140492380027)*a^(6) + (2261069273510)/(140492380027)*a^(5) - (1158206643328)/(140492380027)*a^(4) + (314009645570)/(140492380027)*a^(3) - (1007357492846)/(140492380027)*a^(2) - (476691132635)/(140492380027)*a + (572550671643)/(140492380027) , (17917311977)/(140492380027)*a^(21) - (112944410992)/(140492380027)*a^(20) + (97549914726)/(140492380027)*a^(19) - (132426189623)/(140492380027)*a^(18) - (45344402929)/(140492380027)*a^(17) - (115252057008)/(140492380027)*a^(16) - (731323615583)/(140492380027)*a^(15) + (920731130909)/(140492380027)*a^(14) - (439799762575)/(140492380027)*a^(13) - (1721911777770)/(140492380027)*a^(12) + (1373905189082)/(140492380027)*a^(11) - (170101535590)/(140492380027)*a^(10) + (544267715529)/(140492380027)*a^(9) - (758008807825)/(140492380027)*a^(8) - (3636958046940)/(140492380027)*a^(7) + (5566368758194)/(140492380027)*a^(6) + (1961647738095)/(140492380027)*a^(5) - (6220096341425)/(140492380027)*a^(4) + (1684135466231)/(140492380027)*a^(3) + (2783686384896)/(140492380027)*a^(2) - (862882292643)/(140492380027)*a - (361587529455)/(140492380027) , (14612920145)/(140492380027)*a^(21) + (72433832300)/(140492380027)*a^(20) - (80052840804)/(140492380027)*a^(19) + (150348683122)/(140492380027)*a^(18) + (55168520937)/(140492380027)*a^(17) + (223400966939)/(140492380027)*a^(16) + (296249092980)/(140492380027)*a^(15) - (818622884119)/(140492380027)*a^(14) + (1129367190735)/(140492380027)*a^(13) + (931508661026)/(140492380027)*a^(12) - (1692447932899)/(140492380027)*a^(11) + (526784828277)/(140492380027)*a^(10) + (36430473564)/(140492380027)*a^(9) + (1780247713655)/(140492380027)*a^(8) + (973557839297)/(140492380027)*a^(7) - (6344705182353)/(140492380027)*a^(6) + (2094670186930)/(140492380027)*a^(5) + (5630863101020)/(140492380027)*a^(4) - (4133775817844)/(140492380027)*a^(3) - (1831140271822)/(140492380027)*a^(2) + (1409744550197)/(140492380027)*a + (16238064135)/(140492380027) ], 64048.1745685, [[x^11 + x^9 - 2*x^7 - x^6 - 3*x^5 + x^4 + x^3 + x^2 + x - 1, 1]]]