/* 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 - 3*x^20 - 36*x^18 + 60*x^16 + 213*x^14 - 9*x^12 - 114*x^10 - 180*x^8 - 108*x^6 + 6*x^4 + 36*x^2 + 54, 22, 52, [8, 7], -24986117063726489111930820723283680074515474022619927764789155841703936, [2, 3, 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^14 - 1/2*a^13 - 1/2*a^12, 1/2*a^16 - 1/2*a^12, 1/2*a^17 - 1/2*a^13, 1/12*a^18 - 1/4*a^16 - 1/4*a^14 - 1/4*a^12 - 1/2*a^10 - 1/2, 1/12*a^19 - 1/4*a^17 - 1/4*a^15 - 1/4*a^13 - 1/2*a^11 - 1/2*a, 1/27000*a^20 + 41/1125*a^18 - 23/750*a^16 - 299/1125*a^14 - 2833/9000*a^12 + 157/500*a^10 - 97/1125*a^8 - 27/250*a^6 + 2/5*a^4 - 899/4500*a^2 - 269/1500, 1/81000*a^21 + 539/13500*a^19 + 1079/4500*a^17 + 2179/13500*a^15 + 12917/27000*a^13 - 593/1500*a^11 + 1028/3375*a^9 - 9/250*a^7 + 7/15*a^5 - 5399/13500*a^3 + 1981/4500*a], 0, 1, [], 1, [ (6142481)/(13500)*a^(20) - (2525857)/(4500)*a^(18) - (29714377)/(1500)*a^(16) + (8283823)/(4500)*a^(14) + (203415988)/(1125)*a^(12) + (11202446)/(125)*a^(10) - (291006814)/(1125)*a^(8) - (5244362)/(125)*a^(6) - (332646)/(5)*a^(4) - (94521169)/(2250)*a^(2) + (39062368)/(375) , (508699009)/(2250)*a^(20) - (1647333721)/(1500)*a^(18) - (3051757281)/(500)*a^(16) + (37377460819)/(1500)*a^(14) + (3007227631)/(1500)*a^(12) - (1518511897)/(250)*a^(10) - (5585356117)/(375)*a^(8) - (1673395208)/(125)*a^(6) + (1572946)/(5)*a^(4) + (325829284)/(375)*a^(2) + (1657693783)/(250) , (2542899211)/(13500)*a^(20) - (1687154198)/(1125)*a^(18) + (494888669)/(750)*a^(16) + (9032244947)/(1125)*a^(14) + (1286203487)/(4500)*a^(12) - (779569623)/(250)*a^(10) - (6756971309)/(1125)*a^(8) - (513397697)/(125)*a^(6) + (180464)/(5)*a^(4) + (2146320061)/(2250)*a^(2) + (1537728241)/(750) , (14261483743)/(4500)*a^(20) - (1916341858)/(125)*a^(18) - (10724139589)/(125)*a^(16) + (130239293561)/(375)*a^(14) + (49260759581)/(1500)*a^(12) - (19793796297)/(250)*a^(10) - (76345434017)/(375)*a^(8) - (23227292183)/(125)*a^(6) + (14103376)/(5)*a^(4) + (7889904043)/(750)*a^(2) + (22827556883)/(250) , (100471139344)/(3375)*a^(20) - (3258544892297)/(4500)*a^(18) + (2088874621783)/(1500)*a^(16) + (102830933823983)/(4500)*a^(14) - (233241483936583)/(4500)*a^(12) - (24228958187093)/(250)*a^(10) + (138622023367306)/(1125)*a^(8) + (1615369176973)/(125)*a^(6) + (82063622664)/(5)*a^(4) + (48002352941738)/(1125)*a^(2) - (38891795645519)/(750) , (46178876783)/(125)*a^(20) - (3478660095461)/(1500)*a^(18) - (3486093738921)/(500)*a^(16) + (26146511897393)/(500)*a^(14) - (32275264314493)/(500)*a^(12) + (10960760031423)/(250)*a^(10) - (7042241506449)/(125)*a^(8) + (5040655676397)/(125)*a^(6) - (109281863414)/(5)*a^(4) + (2486788878623)/(125)*a^(2) - (1775741947447)/(250) , (2591315701857035141)/(13500)*a^(20) - (1983525354903900127)/(4500)*a^(18) - (10830496573465869097)/(1500)*a^(16) + (28963780770957668353)/(4500)*a^(14) + (51090921725053578793)/(1125)*a^(12) + (3778497510564189881)/(125)*a^(10) - (688949470646690479)/(1125)*a^(8) - (4372723626396719932)/(125)*a^(6) - (226726750283087381)/(5)*a^(4) - (69199684425463630009)/(2250)*a^(2) - (5524040566722963902)/(375) , (147432593020487543)/(3375)*a^(20) - (230438671288376896)/(1125)*a^(18) - (907268812478895287)/(750)*a^(16) + (5168165521923188269)/(1125)*a^(14) + (2335244142430084487)/(2250)*a^(12) - (79794340754259498)/(125)*a^(10) - (3017889065211201493)/(1125)*a^(8) - (364960886109956394)/(125)*a^(6) - (3020020121761997)/(5)*a^(4) - (330032835011309564)/(1125)*a^(2) + (367714262690912866)/(375) , (129438303455131081916464960999)/(27000)*a^(21) + (108577582069522851237054229571)/(27000)*a^(20) - (12384835767967386055062492916)/(1125)*a^(19) - (41555412674573343532187129981)/(4500)*a^(18) - (67624001915074454946842787676)/(375)*a^(17) - (226901942007158144810625599141)/(1500)*a^(16) + (361691030334381841041011060723)/(2250)*a^(15) + (606799331035776708653499079709)/(4500)*a^(14) + (10208130573484347356931000273833)/(9000)*a^(13) + (8562953142028338460234778295607)/(9000)*a^(12) + (377477987261307060446555778843)/(500)*a^(11) + (316642335016311319615558368397)/(500)*a^(10) - (17206799633859182606296060153)/(1125)*a^(9) - (14433661395109260461258897387)/(1125)*a^(8) - (218421067024176947373844065223)/(250)*a^(7) - (183219571835192506110003974917)/(250)*a^(6) - (5662591798888557175322748017)/(5)*a^(5) - (4749989111462012484603293698)/(5)*a^(4) - (3456579858317123120672358537101)/(4500)*a^(3) - (2899505703466286402853323382829)/(4500)*a^(2) - (551860525905889647264462657731)/(1500)*a - (462920813403361058779472566849)/(1500) , (30388084446094739555833)/(81000)*a^(21) + (99025750423258007603)/(9000)*a^(20) - (19346206704161382460513)/(13500)*a^(19) + (158768230759188293321)/(750)*a^(18) - (56430961022468527613443)/(4500)*a^(17) - (170036728923771357747)/(125)*a^(16) + (453719950501916978527357)/(13500)*a^(15) - (2776470178876492423297)/(375)*a^(14) + (1600444144503016321595861)/(27000)*a^(13) + (75719987464359846152701)/(3000)*a^(12) - (107022504081809330819969)/(1500)*a^(11) + (17917290847004499955513)/(500)*a^(10) - (52530541877003697205801)/(3375)*a^(9) - (19575235899672406164116)/(375)*a^(8) - (3032922761172664167497)/(250)*a^(7) - (1532477497905443777843)/(250)*a^(6) - (387244463657833338224)/(15)*a^(5) - (42160214466283243007)/(5)*a^(4) + (401515845323523033139633)/(13500)*a^(3) - (23822806848711537144097)/(1500)*a^(2) + (13237531713826952021173)/(4500)*a + (10871170378538451170793)/(500) , (730210572049130352835969)/(40500)*a^(21) - (34036941855415650980387)/(2250)*a^(20) - (139682175736967874846542)/(3375)*a^(19) + (26045443638040082663189)/(750)*a^(18) - (763015063572048769401287)/(1125)*a^(17) + (142273302491718384839979)/(250)*a^(16) + (4077064104356338486048201)/(6750)*a^(15) - (190041217762374845267273)/(375)*a^(14) + (57593740804083485894585573)/(13500)*a^(13) - (2685105142589877896886379)/(750)*a^(12) + (2132271846394560003666883)/(750)*a^(11) - (298168558266150193798277)/(125)*a^(10) - (188216458713060868415486)/(3375)*a^(9) + (18301529452055551829906)/(375)*a^(8) - (410958712701457268490971)/(125)*a^(7) + (344771484304295464489569)/(125)*a^(6) - (63919551643970430997234)/(15)*a^(5) + (17875486797312786110547)/(5)*a^(4) - (19518496949417031424842881)/(6750)*a^(3) + (909694846740880836714538)/(375)*a^(2) - (3116920127304895356390161)/(2250)*a + (145154431204893567703978)/(125) , (1242280561396263889411652168621)/(2025)*a^(21) - (15246911214975579061126819904849)/(13500)*a^(20) + (644785548237887196882158528627)/(2700)*a^(19) - (494603368502519779957422356993)/(1125)*a^(18) - (19148038122733386993800231150653)/(900)*a^(17) + (14688129327716200003410801248902)/(375)*a^(16) - (95311477559188402220292002065703)/(2700)*a^(15) + (146223542010476909648743444640779)/(2250)*a^(14) + (29770948275426316604639578846003)/(2700)*a^(13) - (91347278300204632347527915231533)/(4500)*a^(12) + (4777490601759192158846637407363)/(150)*a^(11) - (14658926372712245343890015671543)/(250)*a^(10) + (25658409526982676946523935142879)/(675)*a^(9) - (78728479084510959280809826552544)/(1125)*a^(8) + (460243035115827725830824799144)/(25)*a^(7) - (4236529421269792764128812025827)/(125)*a^(6) - (11578325999486027321957662019)/(3)*a^(5) + (35526322584404099806841105014)/(5)*a^(4) - (6344987224477273968660263553533)/(675)*a^(3) + (38937094326128211737398628880751)/(2250)*a^(2) - (4398389944804666081830632695021)/(450)*a + (13495723375320404760108157454881)/(750) , (17886277137935379109779635921)/(81000)*a^(21) - (42612322189375408385439181)/(200)*a^(20) - (7719553355315402660863717331)/(13500)*a^(19) + (69391607134073757892909023)/(100)*a^(18) - (37620960707607563046864013991)/(4500)*a^(17) + (763481438726296504281191659)/(100)*a^(16) + (139750013458785995990259748109)/(13500)*a^(15) - (1517888689652065946125971797)/(100)*a^(14) + (1558175118512203819254932599057)/(27000)*a^(13) - (9339598805381966265508299631)/(200)*a^(12) + (15879161007661944722733657347)/(1500)*a^(11) + (2294773440112828448976117891)/(100)*a^(10) - (208813717846507939189500218087)/(3375)*a^(9) + (1293055902753437515432917471)/(25)*a^(8) - (13819963853587864062342625039)/(250)*a^(7) + (852070545698440812598944599)/(50)*a^(6) - (24343056290742602790147133)/(15)*a^(5) - 17851533355793313215000730*a^(4) + (333311435510480359555271261021)/(13500)*a^(3) - (1620588868620990384016532043)/(100)*a^(2) + (38965690692041586633344216501)/(4500)*a + (415213280874191960001022051)/(100) , (24023593326806655490341984967454329077422)/(10125)*a^(21) + (34478561571721987604952682022147667402209)/(13500)*a^(20) - (14745439202351109022101077453012317057084)/(3375)*a^(19) - (21162593227788451861388805381301945066573)/(4500)*a^(18) - (101789210698688426016572810679193155796324)/(1125)*a^(17) - (146087453307533496589075990402984573736353)/(1500)*a^(16) + (253327370276021130665154894534216652751777)/(6750)*a^(15) + (181787195933005451595488961580243911959197)/(4500)*a^(14) + (3704863011332938420337102517183012098158073)/(6750)*a^(13) + (1329301009566091674709837920699941857171139)/(2250)*a^(12) + (230468047975600764487015494186283640228758)/(375)*a^(11) + (82691696806229727859275922119922681240219)/(125)*a^(10) + (1490348759124124244088554950839617284571528)/(3375)*a^(9) + (534735590494246623950709225638331196328579)/(1125)*a^(8) + (10568428980068196233357854010361296899683)/(125)*a^(7) + (11375824101492955242867536539591552673482)/(125)*a^(6) - (2374386728232149904205257865044326751173)/(15)*a^(5) - (851927497804702248226403259223914085144)/(5)*a^(4) - (570935987856892091070678304541558091807131)/(3375)*a^(3) - (409702481695231652627672495082781903867891)/(2250)*a^(2) - (124406865548829579663139848827793267686036)/(1125)*a - (44637054449975031557832407907510354546923)/(375) ], 17750647107900000000000000000, [[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]]]