/* 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 - 99*x^20 + 3663*x^18 - 62997*x^16 + 515625*x^14 - 1891296*x^12 + 2785728*x^10 - 1631619*x^8 + 296538*x^6 - 17523*x^4 + 396*x^2 - 3, 22, 36, [22, 0], 90463257479444681369926681096111744478113640448, [2, 3, 11], [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, 1/2*a^17 - 1/2*a^15 - 1/2*a^14 - 1/2*a^13 - 1/2*a^8 - 1/2*a^5 - 1/2*a^2 - 1/2, 1/2*a^18 - 1/2*a^16 - 1/2*a^15 - 1/2*a^14 - 1/2*a^9 - 1/2*a^6 - 1/2*a^3 - 1/2*a, 1/2*a^19 - 1/2*a^16 - 1/2*a^14 - 1/2*a^13 - 1/2*a^10 - 1/2*a^8 - 1/2*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2, 1/144220380526307792977551206*a^20 - 20902296914524905742573009/144220380526307792977551206*a^18 + 14500617477452602658986179/144220380526307792977551206*a^16 - 1/2*a^15 + 24513277576061433390763841/144220380526307792977551206*a^14 - 1/2*a^13 + 10646575188426555672415141/72110190263153896488775603*a^12 - 1/2*a^11 - 4185990746108929766068791/72110190263153896488775603*a^10 - 32325055964105691963586053/72110190263153896488775603*a^8 - 21420672331652529333968131/72110190263153896488775603*a^6 - 34588727582441915798633630/72110190263153896488775603*a^4 - 1/2*a^3 + 11812677518902137467588889/144220380526307792977551206*a^2 - 56687566632271346802210329/144220380526307792977551206, 1/144220380526307792977551206*a^21 - 20902296914524905742573009/144220380526307792977551206*a^19 + 14500617477452602658986179/144220380526307792977551206*a^17 - 1/2*a^16 + 24513277576061433390763841/144220380526307792977551206*a^15 - 1/2*a^14 + 10646575188426555672415141/72110190263153896488775603*a^13 - 1/2*a^12 - 4185990746108929766068791/72110190263153896488775603*a^11 - 32325055964105691963586053/72110190263153896488775603*a^9 - 21420672331652529333968131/72110190263153896488775603*a^7 - 34588727582441915798633630/72110190263153896488775603*a^5 - 1/2*a^4 + 11812677518902137467588889/144220380526307792977551206*a^3 - 56687566632271346802210329/144220380526307792977551206*a], 0, 1, [], 1, [ (30210662753170084558815771)/(72110190263153896488775603)*a^(20) - (2990442764273579396879694643)/(72110190263153896488775603)*a^(18) + (110620682152339637477185292000)/(72110190263153896488775603)*a^(16) - (1901658726456978962318441906416)/(72110190263153896488775603)*a^(14) + (15550997092336527950068270761158)/(72110190263153896488775603)*a^(12) - (56918328348717406361241711675546)/(72110190263153896488775603)*a^(10) + (83331474505084367121008341779340)/(72110190263153896488775603)*a^(8) - (47999849579467939125954690331908)/(72110190263153896488775603)*a^(6) + (8163327564141956043761767348216)/(72110190263153896488775603)*a^(4) - (390824104074872969921160103129)/(72110190263153896488775603)*a^(2) + (5267360582939575885355883974)/(72110190263153896488775603) , (339934281534961220689259205)/(144220380526307792977551206)*a^(21) - (88480403011279672857932821)/(144220380526307792977551206)*a^(20) - (16816725067634812658188169263)/(72110190263153896488775603)*a^(19) + (4377481705186413703146011565)/(72110190263153896488775603)*a^(18) + (621597978149390344931086120271)/(72110190263153896488775603)*a^(17) - (161824438038113711409184058262)/(72110190263153896488775603)*a^(16) - (10670759964569791973589593858366)/(72110190263153896488775603)*a^(15) + (5557184008959554295854294529439)/(144220380526307792977551206)*a^(14) + (174019621151047525568485605308681)/(144220380526307792977551206)*a^(13) - (45333919298834499268486015189413)/(144220380526307792977551206)*a^(12) - (632644816086038860482155762324585)/(144220380526307792977551206)*a^(11) + (164985909136194253979900540439849)/(144220380526307792977551206)*a^(10) + (909573155192659886215976418854327)/(144220380526307792977551206)*a^(9) - (118948996223813496032912754776371)/(72110190263153896488775603)*a^(8) - (500683254857157883988441152702107)/(144220380526307792977551206)*a^(7) + (131959451965947265829038757994777)/(144220380526307792977551206)*a^(6) + (35393282656489526066848230704556)/(72110190263153896488775603)*a^(5) - (9657546627196784207600921834646)/(72110190263153896488775603)*a^(4) - (1497010981171893465694882603577)/(144220380526307792977551206)*a^(3) + (255410842656892645170034306895)/(72110190263153896488775603)*a^(2) + (2913784376250245054919542490)/(72110190263153896488775603)*a - (3347865405478953583434517859)/(144220380526307792977551206) , (6741997071245385213980228)/(72110190263153896488775603)*a^(20) - (667376360186757490404874983)/(72110190263153896488775603)*a^(18) + (24687847376748837903855979677)/(72110190263153896488775603)*a^(16) - (424424248465971138583690696817)/(72110190263153896488775603)*a^(14) + (3471095393960326933732969264422)/(72110190263153896488775603)*a^(12) - (12707132978315200638397777472308)/(72110190263153896488775603)*a^(10) + (18611932307789146196556816488169)/(72110190263153896488775603)*a^(8) - (10724920720927684906913206676146)/(72110190263153896488775603)*a^(6) + (1821054978283934968062541682668)/(72110190263153896488775603)*a^(4) - (84381093199318690223421530061)/(72110190263153896488775603)*a^(2) + (950388186051486377316886406)/(72110190263153896488775603) , (1392344410414483818312311)/(72110190263153896488775603)*a^(20) - (137916536288306627283903968)/(72110190263153896488775603)*a^(18) + (5107418663061396270454224083)/(72110190263153896488775603)*a^(16) - (87975573044115760638885963789)/(72110190263153896488775603)*a^(14) + (722231129259108167384308119678)/(72110190263153896488775603)*a^(12) - (2665296840094094790165739457752)/(72110190263153896488775603)*a^(10) + (3970383767720821115660986749795)/(72110190263153896488775603)*a^(8) - (2326159798342773294297755921565)/(72110190263153896488775603)*a^(6) + (394495969417969657916823326207)/(72110190263153896488775603)*a^(4) - (17443215420281223729557035127)/(72110190263153896488775603)*a^(2) + (199136415327696577325072788)/(72110190263153896488775603) , (520199920336723364898749376)/(72110190263153896488775603)*a^(21) - (53447405479602470576639147)/(72110190263153896488775603)*a^(20) - (102971504517384918325309003591)/(144220380526307792977551206)*a^(19) + (5290401684586471488079370633)/(72110190263153896488775603)*a^(18) + (3808205303301562675956923342001)/(144220380526307792977551206)*a^(17) - (391378967731144039785807358485)/(144220380526307792977551206)*a^(16) - (65439270259583966438406363426087)/(144220380526307792977551206)*a^(15) + (3363750215032434348654371165098)/(72110190263153896488775603)*a^(14) + (267344685621623773828132295948712)/(72110190263153896488775603)*a^(13) - (27502275320794619146016121982130)/(72110190263153896488775603)*a^(12) - (976631358374082162312491876561905)/(72110190263153896488775603)*a^(11) + (201237662354755852390122299714871)/(144220380526307792977551206)*a^(10) + (1422737966823327653995323058848366)/(72110190263153896488775603)*a^(9) - (147155411875577811077983732635918)/(72110190263153896488775603)*a^(8) - (1620512580791468731272702799694395)/(144220380526307792977551206)*a^(7) + (84573270029410264525563099777010)/(72110190263153896488775603)*a^(6) + (132317141565662118557279905248328)/(72110190263153896488775603)*a^(5) - (28532424526443293501383806241691)/(144220380526307792977551206)*a^(4) - (5556433986319873498806143302103)/(72110190263153896488775603)*a^(3) + (1310524771196602045743395353563)/(144220380526307792977551206)*a^(2) + (59016829495603419257438879753)/(72110190263153896488775603)*a - (7202329292825535859012998458)/(72110190263153896488775603) , (25148447639535629192639877)/(144220380526307792977551206)*a^(21) - (16813564995681506627071554)/(72110190263153896488775603)*a^(20) - (2487196119295506258991927693)/(144220380526307792977551206)*a^(19) + (1664197143685604127440765044)/(72110190263153896488775603)*a^(18) + (45935717234137048975867441114)/(72110190263153896488775603)*a^(17) - (123107746228221652675639231745)/(144220380526307792977551206)*a^(16) - (787568654996894981152438625423)/(72110190263153896488775603)*a^(15) + (1057939286423675663805689402127)/(72110190263153896488775603)*a^(14) + (12810354376622002990127327296289)/(144220380526307792977551206)*a^(13) - (17295551760361426770249798521003)/(144220380526307792977551206)*a^(12) - (23142881254221656356827519585710)/(72110190263153896488775603)*a^(11) + (31622249285926326563782305392688)/(72110190263153896488775603)*a^(10) + (32711286550008114917499492602449)/(72110190263153896488775603)*a^(9) - (92386301516558245762957565377931)/(144220380526307792977551206)*a^(8) - (17199647154448183415092334310550)/(72110190263153896488775603)*a^(7) + (26503163282443130338508614149178)/(72110190263153896488775603)*a^(6) + (3816242661497914954495677427897)/(144220380526307792977551206)*a^(5) - (8937524707701345491260849535807)/(144220380526307792977551206)*a^(4) + (86791937705818271085778596621)/(144220380526307792977551206)*a^(3) + (433040176015886206727530667525)/(144220380526307792977551206)*a^(2) - (8332924778561868552714754187)/(144220380526307792977551206)*a - (5993346301014613599904260205)/(144220380526307792977551206) , (36043296662602024609151745)/(72110190263153896488775603)*a^(20) - (3566214845201983149219720325)/(72110190263153896488775603)*a^(18) + (131822024662122094105615510167)/(72110190263153896488775603)*a^(16) - (2263081582111183464709392297113)/(72110190263153896488775603)*a^(14) + (18456147321439764083510195334588)/(72110190263153896488775603)*a^(12) - (67130882591862426933110216522992)/(72110190263153896488775603)*a^(10) + (96724360226816055061979719349110)/(72110190263153896488775603)*a^(8) - (53792041991795334410505235763808)/(72110190263153896488775603)*a^(6) + (8071045747001376273278392763690)/(72110190263153896488775603)*a^(4) - (243326928439009342184554615245)/(72110190263153896488775603)*a^(2) + (2029891430657877456801922730)/(72110190263153896488775603) , (3035746421159723882359799)/(72110190263153896488775603)*a^(20) - (300452982857151179126256996)/(72110190263153896488775603)*a^(18) + (11111469268872270412466642794)/(72110190263153896488775603)*a^(16) - (190931694786375134132946714600)/(72110190263153896488775603)*a^(14) + (1560020789174461376750708600981)/(72110190263153896488775603)*a^(12) - (5699296590737348813451759555293)/(72110190263153896488775603)*a^(10) + (8310317413722582948804745460046)/(72110190263153896488775603)*a^(8) - (4763669784075314710182799654946)/(72110190263153896488775603)*a^(6) + (804933116619683981838381050279)/(72110190263153896488775603)*a^(4) - (36550238129502419300556348275)/(72110190263153896488775603)*a^(2) + (437834584837371819711360538)/(72110190263153896488775603) , (168765878965255326817849768)/(72110190263153896488775603)*a^(21) + (10366180638478005654750653)/(144220380526307792977551206)*a^(20) - (16704069033344770025488403672)/(72110190263153896488775603)*a^(19) - (1025867456051901964468959263)/(144220380526307792977551206)*a^(18) + (1235635926848334898857704573361)/(144220380526307792977551206)*a^(17) + (37933294512369509521357144923)/(144220380526307792977551206)*a^(16) - (10618006211833761271623374266668)/(72110190263153896488775603)*a^(15) - (325816695007427294103794007661)/(72110190263153896488775603)*a^(14) + (86783823601687462144027265899444)/(72110190263153896488775603)*a^(13) + (2660482039520146925147920100792)/(72110190263153896488775603)*a^(12) - (634513989342968552701661548426985)/(144220380526307792977551206)*a^(11) - (9704666003174861462569449992273)/(72110190263153896488775603)*a^(10) + (463085744792363091576878585636751)/(72110190263153896488775603)*a^(9) + (28166532348610169187910501772197)/(144220380526307792977551206)*a^(8) - (265079886593599425621929867689309)/(72110190263153896488775603)*a^(7) - (7949457835606030190081351149620)/(72110190263153896488775603)*a^(6) + (88336378245843779436923737726723)/(144220380526307792977551206)*a^(5) + (1259202934382831176285697934395)/(72110190263153896488775603)*a^(4) - (3963556991429856691951720139913)/(144220380526307792977551206)*a^(3) - (50682583530587795939545848808)/(72110190263153896488775603)*a^(2) + (24091256361859470674975047857)/(72110190263153896488775603)*a + (776211088886487601921898792)/(72110190263153896488775603) , (372820484584913169931286410)/(72110190263153896488775603)*a^(21) + (64725046190290180703240762)/(72110190263153896488775603)*a^(20) - (36900193261318850735661002996)/(72110190263153896488775603)*a^(19) - (6406362383425826480825388815)/(72110190263153896488775603)*a^(18) + (2729494480227371543838800376919)/(144220380526307792977551206)*a^(17) + (236947480776330979371423830947)/(72110190263153896488775603)*a^(16) - (46907003607622853977850276873499)/(144220380526307792977551206)*a^(15) - (8144573130597294106577152642419)/(144220380526307792977551206)*a^(14) + (383334568963467006189805664752279)/(144220380526307792977551206)*a^(13) + (33284357197039971788234993806764)/(72110190263153896488775603)*a^(12) - (700470473789206469298116264031233)/(72110190263153896488775603)*a^(11) - (121679954808079202055999796021622)/(72110190263153896488775603)*a^(10) + (1021611804423201467280769429253426)/(72110190263153896488775603)*a^(9) + (355200384583618265526692935877461)/(144220380526307792977551206)*a^(8) - (583574786417888307732289385494339)/(72110190263153896488775603)*a^(7) - (101587511510473706345477428585822)/(72110190263153896488775603)*a^(6) + (192878746594208731574261159095083)/(144220380526307792977551206)*a^(5) + (16850962566085287475778756555145)/(72110190263153896488775603)*a^(4) - (4198990288829523882806151027826)/(72110190263153896488775603)*a^(3) - (1485421103813571024227632790571)/(144220380526307792977551206)*a^(2) + (45981080685845672905069477220)/(72110190263153896488775603)*a + (16770443943075689547336262765)/(144220380526307792977551206) , (1517767007512016303450279803)/(144220380526307792977551206)*a^(21) + (51137920802507851304323351)/(144220380526307792977551206)*a^(20) - (75106364829589076760910121183)/(72110190263153896488775603)*a^(19) - (5063606494272956444315632857)/(144220380526307792977551206)*a^(18) + (2777503948349829486321810595563)/(72110190263153896488775603)*a^(17) + (187412413915878997425489818533)/(144220380526307792977551206)*a^(16) - (95445676234266824467714403988975)/(144220380526307792977551206)*a^(15) - (1612508457725533968066253811056)/(72110190263153896488775603)*a^(14) + (779693573748796494599807116280685)/(144220380526307792977551206)*a^(13) + (26427720009763415867971258840827)/(144220380526307792977551206)*a^(12) - (2846820209010828135176856236255699)/(144220380526307792977551206)*a^(11) - (97203363575869588763078393907599)/(144220380526307792977551206)*a^(10) + (2070748056597037000120565411352421)/(72110190263153896488775603)*a^(9) + (72109178873943306714613423787679)/(72110190263153896488775603)*a^(8) - (2350602761020097883545249798536135)/(144220380526307792977551206)*a^(7) - (42968754282197552238377886313196)/(72110190263153896488775603)*a^(6) + (189438195875286661659954165005603)/(72110190263153896488775603)*a^(5) + (8232091275106870733457226586664)/(72110190263153896488775603)*a^(4) - (7623735103475900853900123588694)/(72110190263153896488775603)*a^(3) - (509109762127658110176411011011)/(72110190263153896488775603)*a^(2) + (161410506180075553912034300255)/(144220380526307792977551206)*a + (13302458977182571824970499675)/(144220380526307792977551206) , (235289985527927185945212258)/(72110190263153896488775603)*a^(21) - (75899757694850595800924908)/(72110190263153896488775603)*a^(20) - (46576439195801837527096328381)/(144220380526307792977551206)*a^(19) + (15024335614041493134796937515)/(144220380526307792977551206)*a^(18) + (861323950718880126757170310650)/(72110190263153896488775603)*a^(17) - 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