/* 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^24 - 5*x^23 + 7*x^22 + 9*x^21 - 43*x^20 + 66*x^19 - 38*x^18 - 93*x^17 + 491*x^16 - 1291*x^15 + 2386*x^14 - 3246*x^13 + 3278*x^12 - 2354*x^11 + 1061*x^10 - 234*x^9 + 126*x^8 - 282*x^7 + 277*x^6 - 136*x^5 + 42*x^4 - 19*x^3 + 12*x^2 - 5*x + 1, 24, 65, [0, 12], 2272880662621757205963134765625, [3, 5, 7], [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, 1/33*a^20 - 10/33*a^19 - 1/33*a^18 + 1/11*a^17 - 1/33*a^16 - 3/11*a^13 + 4/11*a^12 - 4/33*a^11 - 5/33*a^9 + 3/11*a^8 - 14/33*a^7 - 2/33*a^5 - 8/33*a^4 - 4/33*a^3 - 4/33*a^2 + 1/33*a - 8/33, 1/33*a^21 - 2/33*a^19 - 7/33*a^18 - 4/33*a^17 - 10/33*a^16 - 3/11*a^14 - 4/11*a^13 - 16/33*a^12 - 7/33*a^11 - 5/33*a^10 - 8/33*a^9 + 10/33*a^8 - 8/33*a^7 - 2/33*a^6 + 5/33*a^5 + 5/11*a^4 - 1/3*a^3 - 2/11*a^2 + 2/33*a - 14/33, 1/101013*a^22 - 252/33671*a^21 - 928/101013*a^20 + 45646/101013*a^19 - 17117/101013*a^18 + 39869/101013*a^17 + 1853/101013*a^16 + 3682/33671*a^15 + 13869/33671*a^14 + 527/101013*a^13 + 44834/101013*a^12 + 11148/33671*a^11 - 44540/101013*a^10 + 22370/101013*a^9 - 29960/101013*a^8 + 9902/101013*a^7 + 20591/101013*a^6 - 40193/101013*a^5 + 25526/101013*a^4 + 44981/101013*a^3 + 40648/101013*a^2 - 47860/101013*a - 36260/101013, 1/5263958949618330357*a^23 + 446888716732/1754652983206110119*a^22 - 53471461417170409/5263958949618330357*a^21 + 38908752377430407/5263958949618330357*a^20 - 184771365167908300/1754652983206110119*a^19 + 2543216934336938320/5263958949618330357*a^18 + 655459795700444264/5263958949618330357*a^17 + 1363593263966905535/5263958949618330357*a^16 + 591957268213237827/1754652983206110119*a^15 - 1560066643166320261/5263958949618330357*a^14 + 406760728184272034/5263958949618330357*a^13 - 28979148637427185/1754652983206110119*a^12 - 57357385259033900/1754652983206110119*a^11 + 2285119256973322268/5263958949618330357*a^10 + 242911682527489040/5263958949618330357*a^9 - 2006564879839306387/5263958949618330357*a^8 - 330885627906896803/1754652983206110119*a^7 + 11173687806447425/478541722692575487*a^6 - 142937571897312063/1754652983206110119*a^5 + 152900597827733354/1754652983206110119*a^4 - 563907950687164742/1754652983206110119*a^3 + 853990555216872748/5263958949618330357*a^2 - 1978962535552469923/5263958949618330357*a + 1398125949338705584/5263958949618330357], 0, 1, [], 1, [ (1855351907235723109)/(1754652983206110119)*a^(23) - (7865810586150920396)/(1754652983206110119)*a^(22) + (6442723462855171449)/(1754652983206110119)*a^(21) + (23962729216214938046)/(1754652983206110119)*a^(20) - (63331131090184096008)/(1754652983206110119)*a^(19) + (66569862985376215450)/(1754652983206110119)*a^(18) - (619677017618926809)/(1754652983206110119)*a^(17) - (191399825955798417121)/(1754652983206110119)*a^(16) + (761839604348397834863)/(1754652983206110119)*a^(15) - (1754356419171282415652)/(1754652983206110119)*a^(14) + (2863232834912021388777)/(1754652983206110119)*a^(13) - (3330515923462103198250)/(1754652983206110119)*a^(12) + (2737725369176326007923)/(1754652983206110119)*a^(11) - (1394105185007848679581)/(1754652983206110119)*a^(10) + (259494264603714617484)/(1754652983206110119)*a^(9) - (17172404718026913636)/(1754652983206110119)*a^(8) + (305737758647221721685)/(1754652983206110119)*a^(7) - (3034188843571532786)/(14501264324017439)*a^(6) + (155540434363295004218)/(1754652983206110119)*a^(5) - (15334027300028290959)/(1754652983206110119)*a^(4) + (25037823641113305320)/(1754652983206110119)*a^(3) - (25528376610400141275)/(1754652983206110119)*a^(2) + (6056961920041691947)/(1754652983206110119)*a + (256885088944056462)/(1754652983206110119) , (4419639779979788075)/(5263958949618330357)*a^(23) - (6336939363095974093)/(1754652983206110119)*a^(22) + (17904462518823644689)/(5263958949618330357)*a^(21) + (51598990248735083509)/(5263958949618330357)*a^(20) - (51544428561165525653)/(1754652983206110119)*a^(19) + (187658612395716316814)/(5263958949618330357)*a^(18) - (39625590732935208524)/(5263958949618330357)*a^(17) - (441457750518413260784)/(5263958949618330357)*a^(16) + (623158597826664814005)/(1754652983206110119)*a^(15) - (4419168684324411629663)/(5263958949618330357)*a^(14) + (7519414024974587322661)/(5263958949618330357)*a^(13) - (3062253803637702686026)/(1754652983206110119)*a^(12) + (2716741168324126200003)/(1754652983206110119)*a^(11) - (4719924945525500914721)/(5263958949618330357)*a^(10) + (1327369454323106134108)/(5263958949618330357)*a^(9) - (53551218917405245697)/(5263958949618330357)*a^(8) + (182329278343237859373)/(1754652983206110119)*a^(7) - (88890918991719982520)/(478541722692575487)*a^(6) + (206435356462746048746)/(1754652983206110119)*a^(5) - (49494310396590529221)/(1754652983206110119)*a^(4) + (14315582809183575598)/(1754652983206110119)*a^(3) - (46587747347389172134)/(5263958949618330357)*a^(2) + (28546259920236153781)/(5263958949618330357)*a - (4741665330147783622)/(5263958949618330357) , (3850401252275508716)/(1754652983206110119)*a^(23) - (16326191801380321635)/(1754652983206110119)*a^(22) + (14753289673989953574)/(1754652983206110119)*a^(21) + (44676055804908123129)/(1754652983206110119)*a^(20) - (129586445716834887477)/(1754652983206110119)*a^(19) + (157330016416016459406)/(1754652983206110119)*a^(18) - (38113831950725283468)/(1754652983206110119)*a^(17) - (368841646353991549152)/(1754652983206110119)*a^(16) + (1599887338690345060440)/(1754652983206110119)*a^(15) - (3778654294132936322712)/(1754652983206110119)*a^(14) + (6435207661111037889822)/(1754652983206110119)*a^(13) - (7931902067129113295163)/(1754652983206110119)*a^(12) + (7199504284360688449209)/(1754652983206110119)*a^(11) - (4414508259774741338025)/(1754652983206110119)*a^(10) + (1525728433910406967764)/(1754652983206110119)*a^(9) - (244830057900914116347)/(1754652983206110119)*a^(8) + (427132352607236882898)/(1754652983206110119)*a^(7) - (62610929971666328235)/(159513907564191829)*a^(6) + (511258381597004911539)/(1754652983206110119)*a^(5) - (208766885677149109059)/(1754652983206110119)*a^(4) + (85926909890132408376)/(1754652983206110119)*a^(3) - (36187881456798853377)/(1754652983206110119)*a^(2) + (17858249645415610098)/(1754652983206110119)*a - (7236893216312822451)/(1754652983206110119) , (51858294741691698)/(1754652983206110119)*a^(23) - (420191708030568426)/(1754652983206110119)*a^(22) + (1195805131629813495)/(1754652983206110119)*a^(21) - (546475709964380841)/(1754652983206110119)*a^(20) - (4446359312091928956)/(1754652983206110119)*a^(19) + (11088628520181188277)/(1754652983206110119)*a^(18) - (10427820060438401508)/(1754652983206110119)*a^(17) - (4036855021582968300)/(1754652983206110119)*a^(16) + (45900270238296088407)/(1754652983206110119)*a^(15) - (146637219603273876402)/(1754652983206110119)*a^(14) + (320141213717667310129)/(1754652983206110119)*a^(13) - (494229768089612910697)/(1754652983206110119)*a^(12) + (557184179450971011903)/(1754652983206110119)*a^(11) - (426350911793949141048)/(1754652983206110119)*a^(10) + (187027133643099879771)/(1754652983206110119)*a^(9) + (2677316380356426012)/(1754652983206110119)*a^(8) - (22349359861445010423)/(1754652983206110119)*a^(7) - (4635912578658675474)/(159513907564191829)*a^(6) + (74220258498871897140)/(1754652983206110119)*a^(5) - (27428406884750222532)/(1754652983206110119)*a^(4) - (5588681035655617758)/(1754652983206110119)*a^(3) + (4069210736624603631)/(1754652983206110119)*a^(2) + (4713124702435100180)/(1754652983206110119)*a - (1282170805251956223)/(1754652983206110119) , (4566862951632870730)/(5263958949618330357)*a^(23) - (18989317371199042588)/(5263958949618330357)*a^(22) + (14872777777272358225)/(5263958949618330357)*a^(21) + (58140980485355831750)/(5263958949618330357)*a^(20) - (150246189778958544784)/(5263958949618330357)*a^(19) + (159012459512512850975)/(5263958949618330357)*a^(18) - (3773706465711896933)/(5263958949618330357)*a^(17) - (458010156342426608155)/(5263958949618330357)*a^(16) + (614580662455383830343)/(1754652983206110119)*a^(15) - (4223079293181759061576)/(5263958949618330357)*a^(14) + (2302241526744306573626)/(1754652983206110119)*a^(13) - (8060457483701877064078)/(5263958949618330357)*a^(12) + (6739173665925645339863)/(5263958949618330357)*a^(11) - (1188412789250861709351)/(1754652983206110119)*a^(10) + (839239565306889460378)/(5263958949618330357)*a^(9) - (41130055974959798311)/(1754652983206110119)*a^(8) + (695187285216998775569)/(5263958949618330357)*a^(7) - (73968056164758087520)/(478541722692575487)*a^(6) + (387876642317828524994)/(5263958949618330357)*a^(5) - (29059015702654766403)/(1754652983206110119)*a^(4) + (76079012395396953763)/(5263958949618330357)*a^(3) - (53803340859919177679)/(5263958949618330357)*a^(2) + (4757649464616974267)/(1754652983206110119)*a - (4570549504167976061)/(5263958949618330357) , (360933404649624383)/(1754652983206110119)*a^(23) - (1752814913619434549)/(1754652983206110119)*a^(22) + (7779427837232455988)/(5263958949618330357)*a^(21) + (7055558101894557218)/(5263958949618330357)*a^(20) - (14276059041396017936)/(1754652983206110119)*a^(19) + (77261683651235498246)/(5263958949618330357)*a^(18) - (60126205668477084557)/(5263958949618330357)*a^(17) - (77103771738284950900)/(5263958949618330357)*a^(16) + (174018473646884397494)/(1754652983206110119)*a^(15) - (473561722026134713183)/(1754652983206110119)*a^(14) + (919638680485230995877)/(1754652983206110119)*a^(13) - (3960984598681171173353)/(5263958949618330357)*a^(12) + (4346948188568657593343)/(5263958949618330357)*a^(11) - (3464628673250372725939)/(5263958949618330357)*a^(10) + (1862433342103773103771)/(5263958949618330357)*a^(9) - (465036100403643333736)/(5263958949618330357)*a^(8) - (29498531672246207333)/(5263958949618330357)*a^(7) - (8555668398824789699)/(478541722692575487)*a^(6) + (100391367810625774398)/(1754652983206110119)*a^(5) - (246874711582978320925)/(5263958949618330357)*a^(4) + (38028452154775788127)/(1754652983206110119)*a^(3) - (15441827131025654849)/(5263958949618330357)*a^(2) + (745393008871249626)/(1754652983206110119)*a + (1848687671770711276)/(5263958949618330357) , (78329062843260004)/(5263958949618330357)*a^(23) + (41615584297222923)/(1754652983206110119)*a^(22) - (1561419742036983745)/(5263958949618330357)*a^(21) + (2120753088963677789)/(5263958949618330357)*a^(20) + (1243233182143748130)/(1754652983206110119)*a^(19) - (11579542142249974349)/(5263958949618330357)*a^(18) + (12349010474809564271)/(5263958949618330357)*a^(17) - (3012028263384985024)/(5263958949618330357)*a^(16) - (5472069702850529059)/(1754652983206110119)*a^(15) + (101589522273143665544)/(5263958949618330357)*a^(14) - (263874852996097059733)/(5263958949618330357)*a^(13) + (150341518813225831834)/(1754652983206110119)*a^(12) - (170916516940369786661)/(1754652983206110119)*a^(11) + (376786369754277982622)/(5263958949618330357)*a^(10) - (137953602827767081867)/(5263958949618330357)*a^(9) - (34649300151331598830)/(5263958949618330357)*a^(8) - (1636033102548359528)/(1754652983206110119)*a^(7) + (8256745205327450384)/(478541722692575487)*a^(6) - (28832749810091509036)/(1754652983206110119)*a^(5) + (2321623941910890768)/(1754652983206110119)*a^(4) + (7054865867625446426)/(1754652983206110119)*a^(3) + (12709761344071259800)/(5263958949618330357)*a^(2) - (14833323670176057043)/(5263958949618330357)*a + (437654057427359821)/(5263958949618330357) , (3028204030767017957)/(5263958949618330357)*a^(23) - (15185794780671387980)/(5263958949618330357)*a^(22) + (18290360428472001443)/(5263958949618330357)*a^(21) + (38382798738883686442)/(5263958949618330357)*a^(20) - (135649761233913124112)/(5263958949618330357)*a^(19) + (161496887811334420480)/(5263958949618330357)*a^(18) - (35438256353315484565)/(5263958949618330357)*a^(17) - (356586392252191150289)/(5263958949618330357)*a^(16) + (489632454113914458064)/(1754652983206110119)*a^(15) - (3634364524129624182806)/(5263958949618330357)*a^(14) + (2051899166921921495903)/(1754652983206110119)*a^(13) - (7549852045814585258750)/(5263958949618330357)*a^(12) + (6340096146993130442599)/(5263958949618330357)*a^(11) - (1080711910674753359776)/(1754652983206110119)*a^(10) + (221136162550246459607)/(5263958949618330357)*a^(9) + (188289460447910519397)/(1754652983206110119)*a^(8) + (316613273034199654219)/(5263958949618330357)*a^(7) - (7352326611448529230)/(43503792972052317)*a^(6) + (520625466291354415084)/(5263958949618330357)*a^(5) - (15627938674952065400)/(1754652983206110119)*a^(4) - (122669538528500467)/(5263958949618330357)*a^(3) - (54034544010663222436)/(5263958949618330357)*a^(2) + (7021871512688090107)/(1754652983206110119)*a + (393814435940508911)/(5263958949618330357) , (26228816148020285968)/(5263958949618330357)*a^(23) - (112643623726424698955)/(5263958949618330357)*a^(22) + (103359043294414935443)/(5263958949618330357)*a^(21) + (104166301702705798852)/(1754652983206110119)*a^(20) - (911445404170103983387)/(5263958949618330357)*a^(19) + (360248888273143384360)/(1754652983206110119)*a^(18) - (206748636040610374661)/(5263958949618330357)*a^(17) - (2626152226325036737759)/(5263958949618330357)*a^(16) + (3683333481925953047585)/(1754652983206110119)*a^(15) - (26004088523395136607589)/(5263958949618330357)*a^(14) + (43896363372311623006342)/(5263958949618330357)*a^(13) - (53300345031280477068556)/(5263958949618330357)*a^(12) + (46782610599585871935334)/(5263958949618330357)*a^(11) - (8857179605770382086394)/(1754652983206110119)*a^(10) + (2275417396272154765025)/(1754652983206110119)*a^(9) + (139555807557378642929)/(1754652983206110119)*a^(8) + (2661337744331929839910)/(5263958949618330357)*a^(7) - (157404620345887307991)/(159513907564191829)*a^(6) + (1166759959717805995478)/(1754652983206110119)*a^(5) - (991563383252818312232)/(5263958949618330357)*a^(4) + (86099485444735316271)/(1754652983206110119)*a^(3) - (65429050993178519203)/(1754652983206110119)*a^(2) + (38015615445561023342)/(1754652983206110119)*a - (33205478071488624647)/(5263958949618330357) , (11379276895217606104)/(5263958949618330357)*a^(23) - (17204997859589555504)/(1754652983206110119)*a^(22) + (55511137305321866378)/(5263958949618330357)*a^(21) + (129321777589596351349)/(5263958949618330357)*a^(20) - (431440799937559139366)/(5263958949618330357)*a^(19) + (549709873457928599852)/(5263958949618330357)*a^(18) - (166605828864779807044)/(5263958949618330357)*a^(17) - (384831855023910679744)/(1754652983206110119)*a^(16) + (1688531003404364585737)/(1754652983206110119)*a^(15) - (12322584962178570296446)/(5263958949618330357)*a^(14) + (21318504273082524909383)/(5263958949618330357)*a^(13) - (8905767260843676592200)/(1754652983206110119)*a^(12) + (24266452969663235062747)/(5263958949618330357)*a^(11) - (14613460711722073436527)/(5263958949618330357)*a^(10) + (4325412969996982672321)/(5263958949618330357)*a^(9) + (63777500758160195297)/(5263958949618330357)*a^(8) + (1142950661008347029285)/(5263958949618330357)*a^(7) - (21973727260755330779)/(43503792972052317)*a^(6) + (1956019438068121279136)/(5263958949618330357)*a^(5) - (607734352324172876611)/(5263958949618330357)*a^(4) + (124070885669727586723)/(5263958949618330357)*a^(3) - (106828701398161361779)/(5263958949618330357)*a^(2) + (66191346260040730093)/(5263958949618330357)*a - (7256232181245920338)/(1754652983206110119) , (3399133953897205941)/(1754652983206110119)*a^(23) - (42564494005107920887)/(5263958949618330357)*a^(22) + (35405096236894338770)/(5263958949618330357)*a^(21) + (123891008609662611496)/(5263958949618330357)*a^(20) - (336867159456838094900)/(5263958949618330357)*a^(19) + (127854561295266463054)/(1754652983206110119)*a^(18) - (50595047348459402377)/(5263958949618330357)*a^(17) - (1005313339647263422840)/(5263958949618330357)*a^(16) + (1388269016932168937360)/(1754652983206110119)*a^(15) - (3214863633078032623683)/(1754652983206110119)*a^(14) + (16081714359156349766596)/(5263958949618330357)*a^(13) - (19249814128286424453604)/(5263958949618330357)*a^(12) + (16693629539904628661908)/(5263958949618330357)*a^(11) - (9408795087408156813836)/(5263958949618330357)*a^(10) + (854388941596543516593)/(1754652983206110119)*a^(9) - (238759842041804310932)/(5263958949618330357)*a^(8) + (433898120298505000568)/(1754652983206110119)*a^(7) - (58891679259877758240)/(159513907564191829)*a^(6) + (402877333093263774139)/(1754652983206110119)*a^(5) - (356111087003623485194)/(5263958949618330357)*a^(4) + (48399929364404974815)/(1754652983206110119)*a^(3) - (100027825573569372799)/(5263958949618330357)*a^(2) + (44276322599307600212)/(5263958949618330357)*a - (13290418624361281361)/(5263958949618330357) ], 1519657.3038774955, [[x^2 - x - 1, 1], [x^2 - x + 2, 1], [x^2 - x + 9, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 - 9*x^2 + 9*x + 11, 1], [x^4 - x^3 + 5*x^2 + 2*x + 4, 1], [x^6 - x^5 + 3*x^4 + 2*x^3 - 8*x^2 + 3*x + 9, 1], [x^8 - x^7 - x^6 + 3*x^5 - x^4 + 6*x^3 - 4*x^2 - 8*x + 16, 1], [x^12 + 6*x^10 - 3*x^9 + 3*x^8 - 9*x^7 - 9*x^6 + 9*x^5 + 3*x^4 + 3*x^3 + 6*x^2 + 1, 1]]]