/* 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^42 - x^41 + 13*x^40 - 18*x^39 + 139*x^38 - 250*x^37 + 1451*x^36 + 321*x^35 + 11819*x^34 + 7069*x^33 + 101147*x^32 + 34723*x^31 + 906407*x^30 - 143662*x^29 + 2718926*x^28 - 434521*x^27 + 7093735*x^26 - 1731307*x^25 + 17818760*x^24 - 17036040*x^23 + 50814721*x^22 - 44435389*x^21 + 124550915*x^20 - 97201554*x^19 + 258557330*x^18 - 191477895*x^17 + 222793332*x^16 - 183429282*x^15 + 205234539*x^14 - 104619060*x^13 + 150123312*x^12 + 66144604*x^11 + 21062459*x^10 + 5929237*x^9 + 1586736*x^8 + 394344*x^7 + 106707*x^6 + 17635*x^5 + 2858*x^4 + 449*x^3 + 67*x^2 + 9*x + 1, 42, 1, [0, 21], -16778739246697564329550246936340186720321059686137149293129858772813957238199098503, [7, 29], [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, a^21, a^22, a^23, a^24, a^25, a^26, a^27, a^28, a^29, a^30, a^31, a^32, a^33, a^34, a^35, 1/17*a^36 + 2/17*a^35 - 7/17*a^34 + 4/17*a^33 - 3/17*a^31 + 4/17*a^30 + 5/17*a^29 - 7/17*a^28 + 1/17*a^27 - 5/17*a^26 - 7/17*a^24 - 2/17*a^23 + 8/17*a^22 - 1/17*a^21 - 5/17*a^20 + 4/17*a^19 - 7/17*a^18 - 7/17*a^17 - 8/17*a^16 + 2/17*a^15 - 3/17*a^14 - 5/17*a^12 + 1/17*a^11 - 2/17*a^10 - 4/17*a^9 + 6/17*a^8 + 7/17*a^7 + 8/17*a^5 - 5/17*a^4 + 8/17*a^3 - 1/17*a^2 + 1/17*a + 8/17, 1/1169817331145812311507795307473961104451*a^37 - 895343494208065975017290171578583050/1169817331145812311507795307473961104451*a^36 + 160773916279889866607496026346993514828/1169817331145812311507795307473961104451*a^35 - 171518038210386658307703508405936511421/1169817331145812311507795307473961104451*a^34 - 245097033182016027243055821579113600923/1169817331145812311507795307473961104451*a^33 + 507184937600243352611365337414991497504/1169817331145812311507795307473961104451*a^32 + 220428198991352863020756029272060294606/1169817331145812311507795307473961104451*a^31 - 298234449308169529603167248251484626365/1169817331145812311507795307473961104451*a^30 - 575447777461496216427177510871090056307/1169817331145812311507795307473961104451*a^29 + 378527888703165218136843044860168409650/1169817331145812311507795307473961104451*a^28 - 112312367925292668841524885354113387328/1169817331145812311507795307473961104451*a^27 + 172487876154503915266683479859616461115/1169817331145812311507795307473961104451*a^26 - 502398780693905755582236233622162830865/1169817331145812311507795307473961104451*a^25 - 151531529484216715885231650544226647491/1169817331145812311507795307473961104451*a^24 - 578211099245688555749809817954266875908/1169817331145812311507795307473961104451*a^23 + 221796158072143799643330633975719415774/1169817331145812311507795307473961104451*a^22 + 566822837187294289377345176522154227266/1169817331145812311507795307473961104451*a^21 + 460066393234877141703265628280247989828/1169817331145812311507795307473961104451*a^20 + 454944088151697189068983821163902419062/1169817331145812311507795307473961104451*a^19 - 471465510578853563459306734647781265837/1169817331145812311507795307473961104451*a^18 + 330330607957686290375960454413275161275/1169817331145812311507795307473961104451*a^17 + 31266270928603736161621278185553948083/1169817331145812311507795307473961104451*a^16 + 10428536426635327641758251244366930869/68812784185047783029870312204350653203*a^15 - 209320910948607168009734773491877121815/1169817331145812311507795307473961104451*a^14 + 31844770464134543357371375911832330067/1169817331145812311507795307473961104451*a^13 + 197255663610414606981409731029621410305/1169817331145812311507795307473961104451*a^12 + 271817048875548584865614625341953361653/1169817331145812311507795307473961104451*a^11 - 200862680609152994513333848103535414309/1169817331145812311507795307473961104451*a^10 - 14189654967356037809633656159223254490/68812784185047783029870312204350653203*a^9 + 419965285915048400012096509442848285570/1169817331145812311507795307473961104451*a^8 + 358048364648146214739181429785597140571/1169817331145812311507795307473961104451*a^7 - 463765286829607205257141048796346724559/1169817331145812311507795307473961104451*a^6 - 371340896206970136039110352446164583128/1169817331145812311507795307473961104451*a^5 - 280984648355901134418075199175633496396/1169817331145812311507795307473961104451*a^4 + 439495428917787515093213682220157268240/1169817331145812311507795307473961104451*a^3 + 293386143580406684986846186231003330636/1169817331145812311507795307473961104451*a^2 - 461217233034247514498828151326151552360/1169817331145812311507795307473961104451*a + 476331801798878110671542047940029959226/1169817331145812311507795307473961104451, 1/1169817331145812311507795307473961104451*a^38 - 4975361606930414718316929104611310495/1169817331145812311507795307473961104451*a^36 - 369467703901570116103492167974686422239/1169817331145812311507795307473961104451*a^35 + 309763364618405139483689018719350696271/1169817331145812311507795307473961104451*a^34 - 98934018102510189722632308252022518814/1169817331145812311507795307473961104451*a^33 + 199313260060620351407534064516581507811/1169817331145812311507795307473961104451*a^32 - 474654897574287254323264923515096067956/1169817331145812311507795307473961104451*a^31 - 174965819321010102402442614039700077641/1169817331145812311507795307473961104451*a^30 + 571212020614267547492869427180980921228/1169817331145812311507795307473961104451*a^29 + 309809728638267636003209197738956257169/1169817331145812311507795307473961104451*a^28 + 581947773426485833359143102670376428485/1169817331145812311507795307473961104451*a^27 - 485493980415625195826321262843131559534/1169817331145812311507795307473961104451*a^26 - 189365764912540707769995709286040594131/1169817331145812311507795307473961104451*a^25 - 18817140558066635286493530222234128972/1169817331145812311507795307473961104451*a^24 - 482423809866380811858464382102230321493/1169817331145812311507795307473961104451*a^23 - 237159237854534616431942715407366908640/1169817331145812311507795307473961104451*a^22 + 561247418216242737862292064006666165051/1169817331145812311507795307473961104451*a^21 - 368796576280314536494563863324390123266/1169817331145812311507795307473961104451*a^20 + 448899702980654855145812012685892196400/1169817331145812311507795307473961104451*a^19 - 399313835488423938325830988622051292991/1169817331145812311507795307473961104451*a^18 + 545511320162883605031050907203154140292/1169817331145812311507795307473961104451*a^17 - 187466506566868487805319348852089127582/1169817331145812311507795307473961104451*a^16 - 558497408586777062976512245984966222044/1169817331145812311507795307473961104451*a^15 + 18080732254285868068547566800269454864/68812784185047783029870312204350653203*a^14 + 441171711800886239071933076816556027686/1169817331145812311507795307473961104451*a^13 - 74100725943657836841105169882600388143/1169817331145812311507795307473961104451*a^12 - 493925285802328428626907835924871411987/1169817331145812311507795307473961104451*a^11 + 343462464696216802171515305151876197485/1169817331145812311507795307473961104451*a^10 + 462031213612229355663937309719231689430/1169817331145812311507795307473961104451*a^9 + 509000114107179264597560220509445783958/1169817331145812311507795307473961104451*a^8 - 270644055122219079400318669857221268519/1169817331145812311507795307473961104451*a^7 - 46295991590365043987972500428906302965/1169817331145812311507795307473961104451*a^6 + 471522087477669652222656550007636164442/1169817331145812311507795307473961104451*a^5 - 170040460442725180104299945139690317480/1169817331145812311507795307473961104451*a^4 - 197764359423215847877125399785564275864/1169817331145812311507795307473961104451*a^3 - 476457867298832154726373927640680875173/1169817331145812311507795307473961104451*a^2 + 262809540847662275708525794792639722231/1169817331145812311507795307473961104451*a + 328299396559587286351330845736395447906/1169817331145812311507795307473961104451, 1/1169817331145812311507795307473961104451*a^39 + 25978583512847027438143745054618464882/1169817331145812311507795307473961104451*a^36 + 368662808095168412663385564373705127077/1169817331145812311507795307473961104451*a^35 - 56919805941004083405660623718283548507/1169817331145812311507795307473961104451*a^34 - 16545736910295018597887618310770090190/1169817331145812311507795307473961104451*a^33 + 43875619883649282091607988278158943112/1169817331145812311507795307473961104451*a^32 + 397996978324084542757030140449957779680/1169817331145812311507795307473961104451*a^31 - 134922005280583014230397294183528016637/1169817331145812311507795307473961104451*a^30 - 41516251582440733145781509292104722883/1169817331145812311507795307473961104451*a^29 + 520359607073001296353322600588619149158/1169817331145812311507795307473961104451*a^28 + 224633413026268313923378208737271015388/1169817331145812311507795307473961104451*a^27 - 332916446628307778460097012960842574963/1169817331145812311507795307473961104451*a^26 - 178601704041056458541154916839314852606/1169817331145812311507795307473961104451*a^25 + 300873015117768611927257756485941691487/1169817331145812311507795307473961104451*a^24 - 36557395334128187465690383986193251136/1169817331145812311507795307473961104451*a^23 - 443371789909147822216177785459972216319/1169817331145812311507795307473961104451*a^22 + 202617466686826722781077260927031004533/1169817331145812311507795307473961104451*a^21 + 283742592556293113514995951570630384343/1169817331145812311507795307473961104451*a^20 + 430037102016282695531088140920977930574/1169817331145812311507795307473961104451*a^19 + 339838775672848166803546776372131351315/1169817331145812311507795307473961104451*a^18 - 287208334636550796973889985933739406017/1169817331145812311507795307473961104451*a^17 + 578653186408672851727219797674862167563/1169817331145812311507795307473961104451*a^16 + 298884314363770512994344717817284762212/1169817331145812311507795307473961104451*a^15 + 124298174589592783861589274485593898703/1169817331145812311507795307473961104451*a^14 + 345759764880414722351604287011360608259/1169817331145812311507795307473961104451*a^13 - 465765469021624052540005116489019742349/1169817331145812311507795307473961104451*a^12 - 370940067289640936844422681756746267357/1169817331145812311507795307473961104451*a^11 + 382418460190998997701048322945768058808/1169817331145812311507795307473961104451*a^10 + 16656357643028596142544281599146386974/68812784185047783029870312204350653203*a^9 - 416872841341266189268763577492929992288/1169817331145812311507795307473961104451*a^8 - 468980393591489491346892299219465003750/1169817331145812311507795307473961104451*a^7 + 264398570252603572651161428516701102135/1169817331145812311507795307473961104451*a^6 - 399089046018024362757066186403737586480/1169817331145812311507795307473961104451*a^5 - 498541213060397958503631236611875938569/1169817331145812311507795307473961104451*a^4 + 536368060922559588621804478630166033445/1169817331145812311507795307473961104451*a^3 + 157686134719178913729386028996176838123/1169817331145812311507795307473961104451*a^2 - 492847699247909294237992817498148464367/1169817331145812311507795307473961104451*a - 327855519300206673465522497597813420178/1169817331145812311507795307473961104451, 1/1169817331145812311507795307473961104451*a^40 - 6087611092784999202840150859442583390/1169817331145812311507795307473961104451*a^36 - 27689539438786735622638423470694699062/1169817331145812311507795307473961104451*a^35 - 45361793674633254811443386842616301609/1169817331145812311507795307473961104451*a^34 - 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