/* 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 - 7*x^19 + 8*x^18 + 7*x^17 + 17*x^16 - 26*x^15 - 35*x^14 - 4*x^13 + 68*x^12 + 92*x^11 + 10*x^10 - 49*x^9 - 27*x^8 + 32*x^7 + 57*x^6 + 24*x^5 - 13*x^4 - 17*x^3 - 3*x^2 + 2*x + 1, 22, 53, [0, 11], -3273714539904703691187619, [61, 1279, 1609, 4025911], [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, 1/11521304158449797*a^21 - 739608894551581/11521304158449797*a^20 - 469895265641984/11521304158449797*a^19 + 435265577257926/11521304158449797*a^18 - 5710698697039737/11521304158449797*a^17 - 168388016981139/11521304158449797*a^16 - 1127221923624567/11521304158449797*a^15 + 3033538536688846/11521304158449797*a^14 - 2404752630075298/11521304158449797*a^13 - 4108420174725029/11521304158449797*a^12 + 215875868487319/11521304158449797*a^11 - 3442447303482306/11521304158449797*a^10 + 2519039132613763/11521304158449797*a^9 + 2387586649481750/11521304158449797*a^8 + 1815069984512517/11521304158449797*a^7 + 848460951775526/11521304158449797*a^6 - 2370387454248410/11521304158449797*a^5 - 3135308891305600/11521304158449797*a^4 + 5537270364796856/11521304158449797*a^3 + 3619053001549274/11521304158449797*a^2 + 1564141785378248/11521304158449797*a - 1076049322310070/11521304158449797], 0, 1, [], 1, [ (4619541048721315)/(11521304158449797)*a^(21) - (9677519636344999)/(11521304158449797)*a^(20) + (5686387178429833)/(11521304158449797)*a^(19) - (33891011683249298)/(11521304158449797)*a^(18) + (73376834734817349)/(11521304158449797)*a^(17) - (12477210118500305)/(11521304158449797)*a^(16) + (53791349462704647)/(11521304158449797)*a^(15) - (208369035729368442)/(11521304158449797)*a^(14) - (27097027233046322)/(11521304158449797)*a^(13) + (133333046992129340)/(11521304158449797)*a^(12) + (328523940301592571)/(11521304158449797)*a^(11) + (114125336509566031)/(11521304158449797)*a^(10) - (390806048597857052)/(11521304158449797)*a^(9) - (257109201603790417)/(11521304158449797)*a^(8) + (47615687380798940)/(11521304158449797)*a^(7) + (257635099726074094)/(11521304158449797)*a^(6) + (96697895405238293)/(11521304158449797)*a^(5) - (150741517844718994)/(11521304158449797)*a^(4) - (159649267449191560)/(11521304158449797)*a^(3) - (31387086069372839)/(11521304158449797)*a^(2) + (49128373990480054)/(11521304158449797)*a + (13283797833514413)/(11521304158449797) , (2490909900337597)/(11521304158449797)*a^(21) - (14422555111507104)/(11521304158449797)*a^(20) + (14940205665338105)/(11521304158449797)*a^(19) - (22221876257386859)/(11521304158449797)*a^(18) + (103794086120650793)/(11521304158449797)*a^(17) - (96527381815817445)/(11521304158449797)*a^(16) - (6687170437450252)/(11521304158449797)*a^(15) - (249791407802716218)/(11521304158449797)*a^(14) + (242703094765690728)/(11521304158449797)*a^(13) + (303685978344706514)/(11521304158449797)*a^(12) + (135087840780904239)/(11521304158449797)*a^(11) - (484617222784094757)/(11521304158449797)*a^(10) - (849963082139743963)/(11521304158449797)*a^(9) - (98923127560411639)/(11521304158449797)*a^(8) + (319827960104982918)/(11521304158449797)*a^(7) + (170773761739164084)/(11521304158449797)*a^(6) - (202642238615208329)/(11521304158449797)*a^(5) - (477931947089346301)/(11521304158449797)*a^(4) - (207368804032245845)/(11521304158449797)*a^(3) + (58779877076202589)/(11521304158449797)*a^(2) + (80743061335962174)/(11521304158449797)*a + (5426386600000580)/(11521304158449797) , (1011675330575242)/(11521304158449797)*a^(21) - (9459688237079684)/(11521304158449797)*a^(20) + (10087618659599095)/(11521304158449797)*a^(19) - (10532595607329229)/(11521304158449797)*a^(18) + (68754551345993479)/(11521304158449797)*a^(17) - (71903469486000150)/(11521304158449797)*a^(16) - (15723174253775657)/(11521304158449797)*a^(15) - (171794744857498938)/(11521304158449797)*a^(14) + (199435295329566479)/(11521304158449797)*a^(13) + (213196275082503941)/(11521304158449797)*a^(12) + (91824820763489403)/(11521304158449797)*a^(11) - (426608132956038946)/(11521304158449797)*a^(10) - (631612985533485780)/(11521304158449797)*a^(9) - (112342393567617064)/(11521304158449797)*a^(8) + (235283301492854478)/(11521304158449797)*a^(7) + (129555727605429441)/(11521304158449797)*a^(6) - (183267662904341511)/(11521304158449797)*a^(5) - (368117811107146410)/(11521304158449797)*a^(4) - (189877124442060375)/(11521304158449797)*a^(3) + (31738963939265555)/(11521304158449797)*a^(2) + (58125332300198145)/(11521304158449797)*a + (8271504010828231)/(11521304158449797) , (2499397437394739)/(11521304158449797)*a^(21) - (11264628193970461)/(11521304158449797)*a^(20) + (16792592454575659)/(11521304158449797)*a^(19) - (29888511061437340)/(11521304158449797)*a^(18) + (86562344923277985)/(11521304158449797)*a^(17) - (108672902385012760)/(11521304158449797)*a^(16) + (73689042011371509)/(11521304158449797)*a^(15) - (196884176768757211)/(11521304158449797)*a^(14) + (245541645970131183)/(11521304158449797)*a^(13) + (36514891812948339)/(11521304158449797)*a^(12) + (44618801108381294)/(11521304158449797)*a^(11) - (253436417459763728)/(11521304158449797)*a^(10) - (291908948203017252)/(11521304158449797)*a^(9) + (236992031515382943)/(11521304158449797)*a^(8) + (117173592389561235)/(11521304158449797)*a^(7) + (12337884071354495)/(11521304158449797)*a^(6) - (124837467243575601)/(11521304158449797)*a^(5) - (163087734046162989)/(11521304158449797)*a^(4) + (39566755599611475)/(11521304158449797)*a^(3) + (61151763161006236)/(11521304158449797)*a^(2) + (5379550067979228)/(11521304158449797)*a - (18907342130229249)/(11521304158449797) , (11785426760979273)/(11521304158449797)*a^(21) - (5344147848693466)/(11521304158449797)*a^(20) - (9583709678115277)/(11521304158449797)*a^(19) - (76412314129027756)/(11521304158449797)*a^(18) + (46466679384520013)/(11521304158449797)*a^(17) + (154574658030412244)/(11521304158449797)*a^(16) + (202596307768314823)/(11521304158449797)*a^(15) - (199766487774597216)/(11521304158449797)*a^(14) - (600343680710026071)/(11521304158449797)*a^(13) - (161835050965423116)/(11521304158449797)*a^(12) + (825831831574299945)/(11521304158449797)*a^(11) + (1401699834506103004)/(11521304158449797)*a^(10) + (537081948558353842)/(11521304158449797)*a^(9) - (618121663257924031)/(11521304158449797)*a^(8) - (391726400263666253)/(11521304158449797)*a^(7) + (334283663971562360)/(11521304158449797)*a^(6) + (802425800200783146)/(11521304158449797)*a^(5) + (525598596209503789)/(11521304158449797)*a^(4) - (69340531578619775)/(11521304158449797)*a^(3) - (196099161026080940)/(11521304158449797)*a^(2) - (52438615261693529)/(11521304158449797)*a + (8531664283695960)/(11521304158449797) , (8284714219235766)/(11521304158449797)*a^(21) - (12808923047709059)/(11521304158449797)*a^(20) + (2096537436527226)/(11521304158449797)*a^(19) - (54756526724241087)/(11521304158449797)*a^(18) + (96337755600882229)/(11521304158449797)*a^(17) + (39628845391252825)/(11521304158449797)*a^(16) + (83795398674664414)/(11521304158449797)*a^(15) - (296750487978826501)/(11521304158449797)*a^(14) - (214580093574049268)/(11521304158449797)*a^(13) + (197795000854005563)/(11521304158449797)*a^(12) + (629063199019027378)/(11521304158449797)*a^(11) + (456089109601423913)/(11521304158449797)*a^(10) - (473081299026599856)/(11521304158449797)*a^(9) - (610332383878040560)/(11521304158449797)*a^(8) - (3341158750800475)/(11521304158449797)*a^(7) + (428811807288873398)/(11521304158449797)*a^(6) + (338867744562203160)/(11521304158449797)*a^(5) - (121450807548752349)/(11521304158449797)*a^(4) - (287637211543574213)/(11521304158449797)*a^(3) - (116237215552972610)/(11521304158449797)*a^(2) + (48245488188197149)/(11521304158449797)*a + (39996686271630050)/(11521304158449797) , (26690183654645599)/(11521304158449797)*a^(21) - (37022357966571995)/(11521304158449797)*a^(20) + (13142390929198077)/(11521304158449797)*a^(19) - (187492944135153579)/(11521304158449797)*a^(18) + (281143664326227384)/(11521304158449797)*a^(17) + (89170196077053711)/(11521304158449797)*a^(16) + (385897094576105386)/(11521304158449797)*a^(15) - (813663599430369571)/(11521304158449797)*a^(14) - (638640164743390220)/(11521304158449797)*a^(13) + (224223147285870729)/(11521304158449797)*a^(12) + (1663678209168036233)/(11521304158449797)*a^(11) + (1766736179843060539)/(11521304158449797)*a^(10) - (482531569541103421)/(11521304158449797)*a^(9) - (1041520286612635725)/(11521304158449797)*a^(8) - (147228271776613030)/(11521304158449797)*a^(7) + (921563421113748399)/(11521304158449797)*a^(6) + (1117914180747119731)/(11521304158449797)*a^(5) + (164573233400392977)/(11521304158449797)*a^(4) - (382225025759390410)/(11521304158449797)*a^(3) - (218162358797269903)/(11521304158449797)*a^(2) + (46714991477693143)/(11521304158449797)*a + (36051234952779583)/(11521304158449797) , (3341168700959298)/(11521304158449797)*a^(21) + (6736119740892870)/(11521304158449797)*a^(20) - (14505210996202946)/(11521304158449797)*a^(19) - (17178185560281946)/(11521304158449797)*a^(18) - (44366085807170189)/(11521304158449797)*a^(17) + (132474328304319177)/(11521304158449797)*a^(16) + (81890619359154014)/(11521304158449797)*a^(15) + (57502918461726884)/(11521304158449797)*a^(14) - (422433471647741935)/(11521304158449797)*a^(13) - (229861488100346929)/(11521304158449797)*a^(12) + (318930801155096338)/(11521304158449797)*a^(11) + (898337541198269047)/(11521304158449797)*a^(10) + (656466763243663538)/(11521304158449797)*a^(9) - (340947650879599134)/(11521304158449797)*a^(8) - (401267400407592079)/(11521304158449797)*a^(7) + (107375425695433704)/(11521304158449797)*a^(6) + (503453644464918789)/(11521304158449797)*a^(5) + (460383669842435094)/(11521304158449797)*a^(4) + (13448100232175646)/(11521304158449797)*a^(3) - (155310771803336718)/(11521304158449797)*a^(2) - (59721086200290391)/(11521304158449797)*a + (20078705617327690)/(11521304158449797) , (5919661291745849)/(11521304158449797)*a^(21) - (6356401308907265)/(11521304158449797)*a^(20) - (6896519644152276)/(11521304158449797)*a^(19) - (30739671367943545)/(11521304158449797)*a^(18) + (44669437789221921)/(11521304158449797)*a^(17) + (91861671956790204)/(11521304158449797)*a^(16) + (15225655410072116)/(11521304158449797)*a^(15) - (169234873312278694)/(11521304158449797)*a^(14) - (317656484334171815)/(11521304158449797)*a^(13) + (224371003665006658)/(11521304158449797)*a^(12) + (535504062051344686)/(11521304158449797)*a^(11) + (493306370352024823)/(11521304158449797)*a^(10) - (416963789968785175)/(11521304158449797)*a^(9) - (742699578245988885)/(11521304158449797)*a^(8) - (67948555071444095)/(11521304158449797)*a^(7) + (400123240240389573)/(11521304158449797)*a^(6) + (359106775441433535)/(11521304158449797)*a^(5) - (89628404965054092)/(11521304158449797)*a^(4) - (369341933221950068)/(11521304158449797)*a^(3) - (170870986664117794)/(11521304158449797)*a^(2) + (39210122383445856)/(11521304158449797)*a + (53581238079471570)/(11521304158449797) , (11417506936906238)/(11521304158449797)*a^(21) - (11277307732122226)/(11521304158449797)*a^(20) + (5279103977124701)/(11521304158449797)*a^(19) - (85322025576585783)/(11521304158449797)*a^(18) + (91031771629469296)/(11521304158449797)*a^(17) + (42431203034259684)/(11521304158449797)*a^(16) + (238779036770809405)/(11521304158449797)*a^(15) - (262190865133753234)/(11521304158449797)*a^(14) - (304586810068383433)/(11521304158449797)*a^(13) - (190649246717418916)/(11521304158449797)*a^(12) + (605800351465568681)/(11521304158449797)*a^(11) + (1014853846227369665)/(11521304158449797)*a^(10) + (485110630410384769)/(11521304158449797)*a^(9) - (87581558784394248)/(11521304158449797)*a^(8) - (203873129193034585)/(11521304158449797)*a^(7) + (148722848191446894)/(11521304158449797)*a^(6) + (559030711120391809)/(11521304158449797)*a^(5) + (432424892279609831)/(11521304158449797)*a^(4) + (142679916957473675)/(11521304158449797)*a^(3) - (61624770921891223)/(11521304158449797)*a^(2) - (68858819327537042)/(11521304158449797)*a - (24423500776831785)/(11521304158449797) ], 1054.33143917, [[x^11 - x^10 + 3*x^9 - 4*x^8 + 6*x^7 - 7*x^6 + 8*x^5 - 8*x^4 + 6*x^3 - 5*x^2 + 3*x - 1, 1]]]