/* 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 - 8*x^20 - 11*x^18 + 234*x^16 - 633*x^14 + 30*x^12 + 2835*x^10 - 5934*x^8 + 5448*x^6 - 2104*x^4 + 8*x^2 + 80, 22, 52, [8, 7], -333148227516353188159077609643782400993539653634932370197188744556052480, [2, 3, 5, 7, 23, 137], [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, 1/2*a^15 - 1/2*a^11 - 1/2*a^7 - 1/2*a^3, 1/2*a^16 - 1/2*a^12 - 1/2*a^8 - 1/2*a^4, 1/2*a^17 - 1/2*a^13 - 1/2*a^9 - 1/2*a^5, 1/12*a^18 - 1/4*a^14 - 1/2*a^12 + 1/4*a^10 - 1/2*a^8 + 1/4*a^6 - 1/2*a^4 - 1/3, 1/12*a^19 - 1/4*a^15 - 1/2*a^13 + 1/4*a^11 - 1/2*a^9 + 1/4*a^7 - 1/2*a^5 - 1/3*a, 1/27000*a^20 - 497/13500*a^18 - 201/1000*a^16 + 73/375*a^14 - 4183/9000*a^12 + 34/125*a^10 + 413/1000*a^8 - 197/450*a^6 + 263/750*a^4 + 556/3375*a^2 - 293/675, 1/27000*a^21 - 497/13500*a^19 - 201/1000*a^17 + 73/375*a^15 - 4183/9000*a^13 + 34/125*a^11 + 413/1000*a^9 - 197/450*a^7 + 263/750*a^5 + 556/3375*a^3 - 293/675*a], 0, 1, [], 1, [ (6142481)/(13500)*a^(20) - (53847239)/(13500)*a^(18) - (2193181)/(500)*a^(16) + (183364279)/(1500)*a^(14) - (1406555273)/(4500)*a^(12) - (73880793)/(500)*a^(10) + (802111403)/(500)*a^(8) - (2158539853)/(900)*a^(6) + (1011177131)/(750)*a^(4) - (173027003)/(3375)*a^(2) - (35532791)/(675) , (508699009)/(2250)*a^(20) - (5231979017)/(4500)*a^(18) - (1453384177)/(250)*a^(16) + (18157602387)/(500)*a^(14) - (14714082386)/(375)*a^(12) - (53020377687)/(500)*a^(10) + (42350628763)/(125)*a^(8) - (111484638409)/(300)*a^(6) + (40785805343)/(250)*a^(4) - (1569406859)/(1125)*a^(2) - (1483598873)/(225) , (363317363)/(3375)*a^(20) - (8892032663)/(13500)*a^(18) - (303225213)/(125)*a^(16) + (30955441093)/(1500)*a^(14) - (65797277233)/(2250)*a^(12) - (26071919431)/(500)*a^(10) + (51782551463)/(250)*a^(8) - (222849727351)/(900)*a^(6) + (88778422877)/(750)*a^(4) - (9725342501)/(3375)*a^(2) - (3078007547)/(675) , (263579161)/(13500)*a^(20) - (405926446)/(3375)*a^(18) - (223578611)/(500)*a^(16) + (2851967137)/(750)*a^(14) - (22715963713)/(4500)*a^(12) - (2632392729)/(250)*a^(10) + (18448679243)/(500)*a^(8) - (18448301809)/(450)*a^(6) + (13055181811)/(750)*a^(4) - (694273093)/(3375)*a^(2) - (444573571)/(675) , (15007510961)/(13500)*a^(20) - (122521202609)/(13500)*a^(18) - (5388566411)/(500)*a^(16) + (392966869849)/(1500)*a^(14) - (3356102042363)/(4500)*a^(12) + (75993664517)/(500)*a^(10) + (1564711168893)/(500)*a^(8) - (6388175319043)/(900)*a^(6) + (2695203198493)/(375)*a^(4) - (11748587102618)/(3375)*a^(2) + (378752290579)/(675) , (7774529)/(2700)*a^(20) - (77404601)/(2700)*a^(18) + (2720121)/(100)*a^(16) + (176714161)/(300)*a^(14) - (2610189107)/(900)*a^(12) + (611986813)/(100)*a^(10) - (635641723)/(100)*a^(8) + (371603153)/(180)*a^(6) + (147423202)/(75)*a^(4) - (1303336127)/(675)*a^(2) + (51669751)/(135) , (433233640988423573)/(3375)*a^(20) - (6674958820396276249)/(6750)*a^(18) - (213134797759455798)/(125)*a^(16) + (22149172141320001139)/(750)*a^(14) - (81566364621261190859)/(1125)*a^(12) - (4408901263106799163)/(250)*a^(10) + (44836244200737880774)/(125)*a^(8) - (294940092981512784173)/(450)*a^(6) + (189412224453048966046)/(375)*a^(4) - (406328043342984496046)/(3375)*a^(2) - (23390144146439490287)/(675) , (122756675514338611)/(1350)*a^(20) - (631846175182943809)/(1350)*a^(18) - (58394583407688068)/(25)*a^(16) + (2192385070532807849)/(150)*a^(14) - (3567043688522470694)/(225)*a^(12) - (2127595062531015383)/(50)*a^(10) + (3411039810589070709)/(25)*a^(8) - (13515012265475999723)/(90)*a^(6) + (9978655219876732997)/(150)*a^(4) - (742726655748012761)/(675)*a^(2) - (342675494675361677)/(135) , (745582745366649344882377)/(4500)*a^(21) - (1217635228549696282721939)/(13500)*a^(20) - (5743715946425832292105363)/(4500)*a^(19) + (9380281416744186995781491)/(13500)*a^(18) - (1100392025572960966039081)/(500)*a^(17) + (599022520866574143832989)/(500)*a^(16) + (19059074674271235931177043)/(500)*a^(15) - (31126090962523659516071251)/(1500)*a^(14) - (140373832300840107184841491)/(1500)*a^(13) + (229250746463851834663487837)/(4500)*a^(12) - (11381278078187818198873243)/(500)*a^(11) + (6195549582554185424456217)/(500)*a^(10) + (231486196375587750523125103)/(500)*a^(9) - (126016488615310427059406807)/(500)*a^(8) - (253792512453947790214898501)/(300)*a^(7) + (414479769405471671564315557)/(900)*a^(6) + (81493547743166763572615026)/(125)*a^(5) - (133090912590415217431547707)/(375)*a^(4) - (174820470332676004030290151)/(1125)*a^(3) + (285507995404502756999195207)/(3375)*a^(2) - (10063481319006820815360847)/(225)*a + (16435155228680709160543379)/(675) , (16318762388794006232580169048403)/(1000)*a^(21) + (59959056940371233816879687685877)/(6750)*a^(20) - (188569887338518206636971465027123)/(1500)*a^(19) - (923817769982352843288911564887601)/(13500)*a^(18) - (216766885400658803852775310161581)/(1000)*a^(17) - (29496246424778853847056198143777)/(250)*a^(16) + (469292103538391661273621438033646)/(125)*a^(15) + (3065444845964243214880753302762211)/(1500)*a^(14) - (9217010653155021127159359683793747)/(1000)*a^(13) - (5644543098125200671136382259748058)/(1125)*a^(12) - (280274816159649769915027673753296)/(125)*a^(11) - (610042119144120545910926020384037)/(500)*a^(10) + (45598837842602177802993124415001353)/(1000)*a^(9) + (3102700344764504958054347718840538)/(125)*a^(8) - (4166022562550768344932246206488573)/(50)*a^(7) - (40821115293570076329527599720013677)/(900)*a^(6) + (8026287083619477165839122654029263)/(125)*a^(5) + (26215988403261321032827157685868979)/(750)*a^(4) - (3826224226888092132753450610770239)/(250)*a^(3) - (28119672383700516657215459744483927)/(3375)*a^(2) - (330383424442895740161478206474812)/(75)*a - (1618688754560600325464565570638069)/(675) , (73442362677570772800664069575490236077)/(1350)*a^(21) + (500784769267817599822405459850700791147)/(6750)*a^(20) - (450947602400557112971124572011993862463)/(1350)*a^(19) - (3074897089029669724941146501064045698993)/(6750)*a^(18) - (30491817759611324690946444817467717526)/(25)*a^(17) - (207915873984606628509079190251150646586)/(125)*a^(16) + (1569241497494740724695102729709723443693)/(150)*a^(15) + (10700257974879408132834652229370304778473)/(750)*a^(14) - (3370352897825658728236195918615796374258)/(225)*a^(13) - (22981598402085331896149512474205970190513)/(1125)*a^(12) - (1311360605764568436641518881827488015031)/(50)*a^(11) - (8941824140073384964081318018836421691391)/(250)*a^(10) + (2636261581196687901415000027676120326538)/(25)*a^(9) + (17976003772726381699800102168006224794043)/(125)*a^(8) - (11402867887462801174496370784526445137011)/(90)*a^(7) - (77753341910144544933839385518334536454211)/(450)*a^(6) + (9111166936006382060276597140066119158329)/(150)*a^(5) + (62126859899550336944137457813218550721019)/(750)*a^(4) - (1007236688570735614590894426569152717477)/(675)*a^(3) - (6868132150901958638449079853007856359072)/(3375)*a^(2) - (315907378540586521558908459813648385024)/(135)*a - (2154096854453777299946763673996825170559)/(675) , (119260134964188576088169130830160445397233111)/(1000)*a^(21) + (218392666559556690810968881741449893028646979)/(750)*a^(20) - (364649422551744377733592113279343023337371751)/(1500)*a^(19) - (296780776369949873666221812045831726092793709)/(500)*a^(18) - (2761124647120776971284275070181635094040375897)/(1000)*a^(17) - (1685417552616088867540247310804277540259064261)/(250)*a^(16) + (1430768154307123082428149571754439159258113177)/(125)*a^(15) + (13973678521223928290355102265819813762451138291)/(500)*a^(14) - (7254302577035243275399298306215357995176933439)/(1000)*a^(13) - (2214048704406156786702462565400053206220441016)/(125)*a^(12) - (4958682630113131249197202683080041732067473602)/(125)*a^(11) - (48429255818552624099173041040778006028479413191)/(500)*a^(10) + (101608942494924020970190876239719710639268426261)/(1000)*a^(9) + (31011547298721569205372791208720303041319322159)/(125)*a^(8) - (5096878067399516354874371063706977813527585401)/(50)*a^(7) - (24889474706755907715561666734300642504533678879)/(100)*a^(6) + (5252255116050848585595362326749936633226327056)/(125)*a^(5) + (25648224096338780561839683250405773147414422099)/(250)*a^(4) - (107121293048385793873067504085828762459899693)/(250)*a^(3) - (392327324485580648354743491691421423859005329)/(375)*a^(2) - (120028274982648725027133641913638764399043719)/(75)*a - (97688580956525402099199011731153039491249471)/(25) , (22506244345480483057855154826119449509859754043134843331856982629)/(60)*a^(21) + (26737219736845668490174377531819535047648660141474653182325324617)/(50)*a^(20) - (68348019497788086546101744666539217057347303282393141825705881113)/(30)*a^(19) - (167304433947907098441025452983455070724460295658028655630468576223)/(50)*a^(18) - (175147844029285282047501503973336967880173273478041697683678706201)/(20)*a^(17) - (599233904458066830521319999782847539789536075509298179447082972159)/(50)*a^(16) + (360697168917317079430729164095504219008255332770856970566004840567)/(5)*a^(15) + (5281326638479927590118082918545116569911921028794724103346423467427)/(50)*a^(14) - (1831960214617962234747285412318417144539709765628869836241042344647)/(20)*a^(13) - (7336278112190093609786069548528067305555226307020581599756783946283)/(50)*a^(12) - (1025358556636494147455088615279811599514320157013774616654299172437)/(5)*a^(11) - (14213449350490410377457519424768606353632526116828231821946989329027)/(50)*a^(10) + (13766895946162286056967352834701550806134794938343924492406905079573)/(20)*a^(9) + (52147434088321880047399322902718220537938467350939325030602029809717)/(50)*a^(8) - 747616065527009649765353545808348383801398974406618825663022837752*a^(7) - (11852897983098120971543164728654297215103436618369056356121401055363)/(10)*a^(6) + (1541291780966996655998482578643756401855299289748031799710882154566)/(5)*a^(5) + (12937142879152718209453246183696646951625337068974768721061787106503)/(25)*a^(4) - (39923965069511418823312449912908096641860414345895638510648309187)/(15)*a^(3) - (190927580764540375731193316508804274631089143848030727770913843192)/(25)*a^(2) - (34854497211461674341343174615977306688024382593326656538921422878)/(3)*a - (98254640666051698779866464618033442398646475547590732619379187069)/(5) , (3077757161460544435024579676853801407913043118887495290997648580251)/(2250)*a^(21) - (31181848867275789942471493514848905705279057998179164938035386695263)/(13500)*a^(20) - (7923333986144437160554276167206897356754906164019850414504938443247)/(1125)*a^(19) + (80274196953531286136088654865520724593915590905963686784168035578961)/(6750)*a^(18) - (8781988540751949509324433166419517328994605851853082665214530077353)/(250)*a^(17) + (29657791061134984777656046644020959205269193593133140696998901782113)/(500)*a^(16) + (27491132042031443929714371762912961126788337694792952421127572953417)/(125)*a^(15) - (139261367353733514239410648516450763048590192646878416641956177249523)/(375)*a^(14) - (179104724952739879329423798040439132817510637979160195976927810441183)/(750)*a^(13) + (1814579576860265398946986776266139334849320668717708397185064069843379)/(4500)*a^(12) - (79982367166536302107067032658415200237017143452944897517491421768092)/(125)*a^(11) + (135055017607997879208129856119110826332902837973682083676840755300741)/(125)*a^(10) + (513397128724501632538547165656848133336195612122033505611280596572489)/(250)*a^(9) - (1733805723583954042664114349894060087497514069760851234085806952788869)/(500)*a^(8) - (169635186712700554059588112951769691979344225033645059294833092343819)/(75)*a^(7) + (859318952520608985392725709557598942126103591957112866363147025981136)/(225)*a^(6) + (125416671599534737322343711257167602068203534513272193549440299251151)/(125)*a^(5) - (1270643723456202671115707259006046899880678236127824346941806478440713)/(750)*a^(4) - (19461232837145738215543725647974361065167690263853107134152373159526)/(1125)*a^(3) + (98584628643546711287743381468903441957951597488692781800343841178794)/(3375)*a^(2) - (8635555743354424918940488627305079347641263430153747904885403027997)/(225)*a + (43745039686535359758406137414880674037704766786453879307032797266143)/(675) ], 140217818601000000000000000000, [[x^11 - 3*x^10 - 36*x^9 + 60*x^8 + 213*x^7 - 9*x^6 - 114*x^5 - 180*x^4 - 108*x^3 + 6*x^2 + 36*x + 54, 1]]]