/* 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^21 + 7*x^20 - 20*x^19 + 38*x^18 - 74*x^17 + 107*x^16 - 167*x^15 + 185*x^14 - 284*x^13 + 308*x^12 - 417*x^11 + 466*x^10 - 462*x^9 + 446*x^8 - 292*x^7 + 170*x^6 - 55*x^5 - 7*x^4 + 11*x^3 - 8*x^2 + x + 1, 22, 52, [4, 9], -1533107758369291702785569375, [5, 7, 83, 127, 997], [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, a^20, 1/49167961677028904155*a^21 - 2461309068973386848/49167961677028904155*a^20 + 4533706425681003074/9833592335405780831*a^19 + 171370386362851268/9833592335405780831*a^18 - 13398709126581984782/49167961677028904155*a^17 - 16445471766014570587/49167961677028904155*a^16 + 4208835173944438599/49167961677028904155*a^15 - 17596714550259048316/49167961677028904155*a^14 + 7733008968402678216/49167961677028904155*a^13 - 3945031426006518546/9833592335405780831*a^12 + 6332201538439407758/49167961677028904155*a^11 + 819246935174649052/9833592335405780831*a^10 + 10718725144472687101/49167961677028904155*a^9 + 7836926667780161432/49167961677028904155*a^8 - 18072120242673022621/49167961677028904155*a^7 - 23104295534366604726/49167961677028904155*a^6 - 2476415384533957679/49167961677028904155*a^5 - 11774754108422869416/49167961677028904155*a^4 + 24116653514121259529/49167961677028904155*a^3 - 4163388242535411363/49167961677028904155*a^2 - 3811034455186373428/9833592335405780831*a + 9090439958337064706/49167961677028904155], 0, 1, [], 1, [ (4350789530570481884)/(9833592335405780831)*a^(21) - (10578184920865948591)/(9833592335405780831)*a^(20) + (32600908578919432299)/(9833592335405780831)*a^(19) - (100277031149974378650)/(9833592335405780831)*a^(18) + (197456412220768673485)/(9833592335405780831)*a^(17) - (382039142009042448906)/(9833592335405780831)*a^(16) + (603086799802770657252)/(9833592335405780831)*a^(15) - (914542547981851216986)/(9833592335405780831)*a^(14) + (1149320982884760405254)/(9833592335405780831)*a^(13) - (1590765882859828673587)/(9833592335405780831)*a^(12) + (2008877688360308829544)/(9833592335405780831)*a^(11) - (2370330722860450346113)/(9833592335405780831)*a^(10) + (3042402276955723356933)/(9833592335405780831)*a^(9) - (2950382754846789568736)/(9833592335405780831)*a^(8) + (3086673179084615139549)/(9833592335405780831)*a^(7) - (2467956491687579644760)/(9833592335405780831)*a^(6) + (1596510310996473273545)/(9833592335405780831)*a^(5) - (1035555430147500290453)/(9833592335405780831)*a^(4) + (312766236172256158900)/(9833592335405780831)*a^(3) - (84807842223311913756)/(9833592335405780831)*a^(2) - (9513029174120540432)/(9833592335405780831)*a + (37716474160703250799)/(9833592335405780831) ,   (8905913114698597128)/(9833592335405780831)*a^(21) - (10277710381371620902)/(9833592335405780831)*a^(20) + (47742256798616430272)/(9833592335405780831)*a^(19) - (124859299844996914353)/(9833592335405780831)*a^(18) + (190387025359721324976)/(9833592335405780831)*a^(17) - (375140208518891535599)/(9833592335405780831)*a^(16) + (397233675218855364855)/(9833592335405780831)*a^(15) - (696690854495623440336)/(9833592335405780831)*a^(14) + (391542945242601830278)/(9833592335405780831)*a^(13) - (1175204783621975840992)/(9833592335405780831)*a^(12) + (593391863963386916281)/(9833592335405780831)*a^(11) - (1497889734220185691942)/(9833592335405780831)*a^(10) + (945801883181247526739)/(9833592335405780831)*a^(9) - (764017542254146335907)/(9833592335405780831)*a^(8) + (449256087369119492977)/(9833592335405780831)*a^(7) + (658050707505863299142)/(9833592335405780831)*a^(6) - (610679858438427633977)/(9833592335405780831)*a^(5) + (817019270295217147908)/(9833592335405780831)*a^(4) - (373397876402707969355)/(9833592335405780831)*a^(3) + (107851596573766604190)/(9833592335405780831)*a^(2) + (2322488389197104439)/(9833592335405780831)*a - (33136983072021339582)/(9833592335405780831) ,   (4196689314296168272)/(9833592335405780831)*a^(21) - (4345200848841313258)/(9833592335405780831)*a^(20) + (20974997935176422100)/(9833592335405780831)*a^(19) - (56142780415671751472)/(9833592335405780831)*a^(18) + (78357306289103483521)/(9833592335405780831)*a^(17) - (157650413578667580353)/(9833592335405780831)*a^(16) + (157973128539442282915)/(9833592335405780831)*a^(15) - (279987395043493570269)/(9833592335405780831)*a^(14) + (133538616222123180037)/(9833592335405780831)*a^(13) - (478972253817861923222)/(9833592335405780831)*a^(12) + (220894782044041496577)/(9833592335405780831)*a^(11) - (544613125406381677159)/(9833592335405780831)*a^(10) + (395628737452723876658)/(9833592335405780831)*a^(9) - (142069657423790488623)/(9833592335405780831)*a^(8) + (165118313547898099334)/(9833592335405780831)*a^(7) + (399894884362664644854)/(9833592335405780831)*a^(6) - (324973479711382633094)/(9833592335405780831)*a^(5) + (307204250722329316013)/(9833592335405780831)*a^(4) - (195063629731354373635)/(9833592335405780831)*a^(3) + (22429810746721190543)/(9833592335405780831)*a^(2) - (9758549296689999563)/(9833592335405780831)*a - (7235706443617545443)/(9833592335405780831) ,   (9894444544056710941)/(9833592335405780831)*a^(21) - (17797498823494568442)/(9833592335405780831)*a^(20) + (61943456225495956534)/(9833592335405780831)*a^(19) - (176874623631226292869)/(9833592335405780831)*a^(18) + (314055387331285823861)/(9833592335405780831)*a^(17) - (590459669505492756664)/(9833592335405780831)*a^(16) + (788962095417218588030)/(9833592335405780831)*a^(15) - (1212726963107203384681)/(9833592335405780831)*a^(14) + (1172715648894671740534)/(9833592335405780831)*a^(13) - (1958566558535667976202)/(9833592335405780831)*a^(12) + (1952559617344022211326)/(9833592335405780831)*a^(11) - (2731799996575610271407)/(9833592335405780831)*a^(10) + (2869775097688916948496)/(9833592335405780831)*a^(9) - (2525483673223233938323)/(9833592335405780831)*a^(8) + (2163220844422131928020)/(9833592335405780831)*a^(7) - (820710075660993944158)/(9833592335405780831)*a^(6) + (17846428627643201278)/(9833592335405780831)*a^(5) + (445412842810105050151)/(9833592335405780831)*a^(4) - (394869436189333069397)/(9833592335405780831)*a^(3) + (153197174871674378338)/(9833592335405780831)*a^(2) - (4129547985125208541)/(9833592335405780831)*a - (21477183022412019388)/(9833592335405780831) ,   (8164328969752409836)/(9833592335405780831)*a^(21) - (8042393950127313283)/(9833592335405780831)*a^(20) + (43951937695510777609)/(9833592335405780831)*a^(19) - (111721654408015809410)/(9833592335405780831)*a^(18) + (167709818424594297656)/(9833592335405780831)*a^(17) - (353821261022979201438)/(9833592335405780831)*a^(16) + (382082698369785638140)/(9833592335405780831)*a^(15) - (712024072405202960672)/(9833592335405780831)*a^(14) + (453591764453619907440)/(9833592335405780831)*a^(13) - (1300240279815650697664)/(9833592335405780831)*a^(12) + (696695589805476366259)/(9833592335405780831)*a^(11) - (1713402658741732029154)/(9833592335405780831)*a^(10) + (1219225098001695252843)/(9833592335405780831)*a^(9) - (1176730737567529495508)/(9833592335405780831)*a^(8) + (1117843993394573254446)/(9833592335405780831)*a^(7) - (8438147550201351354)/(9833592335405780831)*a^(6) + (155313303090042388628)/(9833592335405780831)*a^(5) + (286604015278221283240)/(9833592335405780831)*a^(4) - (158474609586682129614)/(9833592335405780831)*a^(3) + (50477904565020541880)/(9833592335405780831)*a^(2) - (39375390052183210092)/(9833592335405780831)*a - (12244899598106420623)/(9833592335405780831) ,   (45110485371607407579)/(49167961677028904155)*a^(21) - (147082319290718711672)/(49167961677028904155)*a^(20) + (84053631418747852429)/(9833592335405780831)*a^(19) - (257362824270356535447)/(9833592335405780831)*a^(18) + (2797417285694603972242)/(49167961677028904155)*a^(17) - (5353626941263804355898)/(49167961677028904155)*a^(16) + (8790384144668186810111)/(49167961677028904155)*a^(15) - (13151757622336028212664)/(49167961677028904155)*a^(14) + (17283773826374541805469)/(49167961677028904155)*a^(13) - (4483536569486123913031)/(9833592335405780831)*a^(12) + (29348845654568735118947)/(49167961677028904155)*a^(11) - (6967304123607961884052)/(9833592335405780831)*a^(10) + (43649101423320326185289)/(49167961677028904155)*a^(9) - (45318605286787128495767)/(49167961677028904155)*a^(8) + (44813525968671805349811)/(49167961677028904155)*a^(7) - (37026511777545876768149)/(49167961677028904155)*a^(6) + (23318717991191214333839)/(49167961677028904155)*a^(5) - (12350901597808272969179)/(49167961677028904155)*a^(4) + (3286559981237321894256)/(49167961677028904155)*a^(3) - (29802972690443313812)/(49167961677028904155)*a^(2) - (100206058637920306531)/(9833592335405780831)*a + (294071817047580020344)/(49167961677028904155) ,   (23659169335787717984)/(49167961677028904155)*a^(21) - (38916412014048543297)/(49167961677028904155)*a^(20) + (30990963119879159027)/(9833592335405780831)*a^(19) - (83454802624313126845)/(9833592335405780831)*a^(18) + (761182800455243397467)/(49167961677028904155)*a^(17) - (1500286375605540164178)/(49167961677028904155)*a^(16) + (1995200984450503626176)/(49167961677028904155)*a^(15) - (3262843120554248507389)/(49167961677028904155)*a^(14) + (3147559748269772322774)/(49167961677028904155)*a^(13) - (1116907457961858651633)/(9833592335405780831)*a^(12) + (5025507156000807042492)/(49167961677028904155)*a^(11) - (1629948419619023974490)/(9833592335405780831)*a^(10) + (7651407097833656250514)/(49167961677028904155)*a^(9) - (8124653003721541666362)/(49167961677028904155)*a^(8) + (7119765919043864822511)/(49167961677028904155)*a^(7) - (3733304806348818515509)/(49167961677028904155)*a^(6) + (2170815380816324043994)/(49167961677028904155)*a^(5) + (297921384765051225331)/(49167961677028904155)*a^(4) - (417771628042580285364)/(49167961677028904155)*a^(3) + (247379002651756865763)/(49167961677028904155)*a^(2) - (22487640749860081679)/(9833592335405780831)*a - (102506300591022498146)/(49167961677028904155) ,   (21026010735683000134)/(49167961677028904155)*a^(21) - (49556320981365215767)/(49167961677028904155)*a^(20) + (31934864538172007280)/(9833592335405780831)*a^(19) - (94654184844745325329)/(9833592335405780831)*a^(18) + (945186688367264972102)/(49167961677028904155)*a^(17) - (1829504463705177711988)/(49167961677028904155)*a^(16) + (2828853034165797059851)/(49167961677028904155)*a^(15) - (4364870190266124272174)/(49167961677028904155)*a^(14) + (5304221011861060268664)/(49167961677028904155)*a^(13) - (1519562918477926478868)/(9833592335405780831)*a^(12) + (9101006206987799534107)/(49167961677028904155)*a^(11) - (2302370934306038645536)/(9833592335405780831)*a^(10) + (13688996216400007688659)/(49167961677028904155)*a^(9) - (14141604538732268836937)/(49167961677028904155)*a^(8) + (13957673091010487217901)/(49167961677028904155)*a^(7) - (11151511530492892923589)/(49167961677028904155)*a^(6) + (7338878800041255990254)/(49167961677028904155)*a^(5) - (4136651188381961151059)/(49167961677028904155)*a^(4) + (1565822586348138558116)/(49167961677028904155)*a^(3) - (350539426331085021297)/(49167961677028904155)*a^(2) + (10599191629450101028)/(9833592335405780831)*a + (70161143011067076764)/(49167961677028904155) ,   (14357925548849958016)/(49167961677028904155)*a^(21) - (38218822897932688628)/(49167961677028904155)*a^(20) + (19165113722243260792)/(9833592335405780831)*a^(19) - (63216776597233015875)/(9833592335405780831)*a^(18) + (595791357301502289238)/(49167961677028904155)*a^(17) - (1027094791116644431697)/(49167961677028904155)*a^(16) + (1568116695817359780569)/(49167961677028904155)*a^(15) - (2128049958687555821036)/(49167961677028904155)*a^(14) + (2576451761771259610836)/(49167961677028904155)*a^(13) - (638644546653201940016)/(9833592335405780831)*a^(12) + (4677535315086485479413)/(49167961677028904155)*a^(11) - (896389549688131879226)/(9833592335405780831)*a^(10) + (6471214104139712770186)/(49167961677028904155)*a^(9) - (4988633878671166730183)/(49167961677028904155)*a^(8) + (4458448313221861559624)/(49167961677028904155)*a^(7) - (3025564808527785599571)/(49167961677028904155)*a^(6) + (96047743878590928666)/(49167961677028904155)*a^(5) - (382751773518443822966)/(49167961677028904155)*a^(4) - (338030921014302073126)/(49167961677028904155)*a^(3) + (76860695227519022137)/(49167961677028904155)*a^(2) + (19510989945869865530)/(9833592335405780831)*a + (82180685756100816651)/(49167961677028904155) ,   (50267137804515196991)/(49167961677028904155)*a^(21) - (111509512732396998138)/(49167961677028904155)*a^(20) + (70415488433360930613)/(9833592335405780831)*a^(19) - (206907945204204100521)/(9833592335405780831)*a^(18) + (1984893616023982971463)/(49167961677028904155)*a^(17) - (3703900355105324160597)/(49167961677028904155)*a^(16) + (5380785240526083778009)/(49167961677028904155)*a^(15) - (8096198671822631799741)/(49167961677028904155)*a^(14) + (9026881454666281286666)/(49167961677028904155)*a^(13) - (2640657345165744541237)/(9833592335405780831)*a^(12) + (15231242244448758293248)/(49167961677028904155)*a^(11) - (3882743063831937618920)/(9833592335405780831)*a^(10) + (22210502446888547776681)/(49167961677028904155)*a^(9) - (21231329802544774336543)/(49167961677028904155)*a^(8) + (19240901863259342908574)/(49167961677028904155)*a^(7) - (12145754199812030627056)/(49167961677028904155)*a^(6) + (5369703834202941040801)/(49167961677028904155)*a^(5) - (904488770874520417221)/(49167961677028904155)*a^(4) - (666998350425595822866)/(49167961677028904155)*a^(3) + (514532054203898928372)/(49167961677028904155)*a^(2) - (32790175977877755020)/(9833592335405780831)*a - (14411268947415324124)/(49167961677028904155) ,   (105335279332554154533)/(49167961677028904155)*a^(21) - (225475167938245705759)/(49167961677028904155)*a^(20) + (155464728438570608845)/(9833592335405780831)*a^(19) - (445738184137090075422)/(9833592335405780831)*a^(18) + (4373015842483169839794)/(49167961677028904155)*a^(17) - (8559268568572047976206)/(49167961677028904155)*a^(16) + (12754467519122656402402)/(49167961677028904155)*a^(15) - (19967205092530544619043)/(49167961677028904155)*a^(14) + (23104592687856160311088)/(49167961677028904155)*a^(13) - (6908289034470967513704)/(9833592335405780831)*a^(12) + (38726537454936973902849)/(49167961677028904155)*a^(11) - (10377727797005328925517)/(9833592335405780831)*a^(10) + (58685594408931360011588)/(49167961677028904155)*a^(9) - (60687863016470926438024)/(49167961677028904155)*a^(8) + (59155840980885057808922)/(49167961677028904155)*a^(7) - (43293834684555923581808)/(49167961677028904155)*a^(6) + (27999048237895817622378)/(49167961677028904155)*a^(5) - (12580811863108912622538)/(49167961677028904155)*a^(4) + (3253293686789742679592)/(49167961677028904155)*a^(3) - (123310948245975150359)/(49167961677028904155)*a^(2) - (100744298684466733633)/(9833592335405780831)*a + (180291515439931129793)/(49167961677028904155) ,   (4938273459242355564)/(9833592335405780831)*a^(21) - (6580517280085620877)/(9833592335405780831)*a^(20) + (24765317038282074763)/(9833592335405780831)*a^(19) - (69280425852652856415)/(9833592335405780831)*a^(18) + (101034513224230510841)/(9833592335405780831)*a^(17) - (178969361074579914514)/(9833592335405780831)*a^(16) + (173124105388512009630)/(9833592335405780831)*a^(15) - (264654177133914049933)/(9833592335405780831)*a^(14) + (71489797011105102875)/(9833592335405780831)*a^(13) - (353936757624187066550)/(9833592335405780831)*a^(12) + (117591056201952046599)/(9833592335405780831)*a^(11) - (329100200884835339947)/(9833592335405780831)*a^(10) + (122205522632276150554)/(9833592335405780831)*a^(9) + (270643537889592670978)/(9833592335405780831)*a^(8) - (503469592477555662135)/(9833592335405780831)*a^(7) + (1066383739418729295350)/(9833592335405780831)*a^(6) - (1090966641239852655699)/(9833592335405780831)*a^(5) + (837619505739325180681)/(9833592335405780831)*a^(4) - (409986896547380213376)/(9833592335405780831)*a^(3) + (79803502755467252853)/(9833592335405780831)*a^(2) + (22105736809284534137)/(9833592335405780831)*a - (28127789917532464402)/(9833592335405780831) ], 56909.7191275, [[x^11 - 2*x^10 + x^9 + 4*x^8 - 6*x^7 + 8*x^5 - 7*x^4 - 2*x^3 + 5*x^2 - 2*x - 1, 1]]]