/* 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 - 2*x^23 + 5*x^22 - 12*x^21 + 16*x^20 - 30*x^19 + 35*x^18 - 36*x^17 + 47*x^16 - 36*x^15 + 9*x^14 - 16*x^13 + 39*x^12 + 80*x^11 + 53*x^10 - 46*x^8 - 20*x^7 + 34*x^6 + 50*x^5 + 38*x^4 + 18*x^3 + 9*x^2 + 4*x + 1, 24, 65, [0, 12], 2754990144000000000000000000, [2, 3, 5], [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, 1/1627978215053041*a^23 + 125004402368765/1627978215053041*a^22 - 181872483737775/1627978215053041*a^21 - 692289305945831/1627978215053041*a^20 - 344318626782306/1627978215053041*a^19 - 666441772493729/1627978215053041*a^18 - 216584206881134/1627978215053041*a^17 - 715052720422932/1627978215053041*a^16 + 333893682608393/1627978215053041*a^15 - 282478792253345/1627978215053041*a^14 + 209562288719590/1627978215053041*a^13 + 14579344490490/1627978215053041*a^12 - 647605619942813/1627978215053041*a^11 - 298397729799972/1627978215053041*a^10 + 50380689934097/1627978215053041*a^9 - 163402279732272/1627978215053041*a^8 - 154289618103356/1627978215053041*a^7 - 515290496409285/1627978215053041*a^6 - 610745727853033/1627978215053041*a^5 + 713158735293030/1627978215053041*a^4 + 83841989991487/1627978215053041*a^3 + 231051949626161/1627978215053041*a^2 - 718099794527682/1627978215053041*a - 754456509957561/1627978215053041], 0, 1, [], 1, [ (991403857763644)/(1627978215053041)*a^(23) - (1331332896373488)/(1627978215053041)*a^(22) + (3038121475613160)/(1627978215053041)*a^(21) - (7314901679671242)/(1627978215053041)*a^(20) + (4797480817267828)/(1627978215053041)*a^(19) - (11256117031436916)/(1627978215053041)*a^(18) + (3473930416104625)/(1627978215053041)*a^(17) + (8548231550714264)/(1627978215053041)*a^(16) - (4494639640072471)/(1627978215053041)*a^(15) + (25335757177176018)/(1627978215053041)*a^(14) - (54123577029329125)/(1627978215053041)*a^(13) + (25791251537375845)/(1627978215053041)*a^(12) + (11637227121619605)/(1627978215053041)*a^(11) + (122358694542535387)/(1627978215053041)*a^(10) + (71204158681001756)/(1627978215053041)*a^(9) - (9381099402071133)/(1627978215053041)*a^(8) - (65111527440567933)/(1627978215053041)*a^(7) - (37769732296739194)/(1627978215053041)*a^(6) + (51579876571629577)/(1627978215053041)*a^(5) + (70223643101335216)/(1627978215053041)*a^(4) + (44412319887031448)/(1627978215053041)*a^(3) + (18215666835855535)/(1627978215053041)*a^(2) + (7629813529763250)/(1627978215053041)*a + (3597504309056717)/(1627978215053041) ,   (736257979987259)/(1627978215053041)*a^(23) - (1442863445974206)/(1627978215053041)*a^(22) + (3237885789260087)/(1627978215053041)*a^(21) - (7629796993202490)/(1627978215053041)*a^(20) + (9250215851726697)/(1627978215053041)*a^(19) - (16883592260004185)/(1627978215053041)*a^(18) + (18238735904864693)/(1627978215053041)*a^(17) - (15480381097810755)/(1627978215053041)*a^(16) + (21652547337313400)/(1627978215053041)*a^(15) - (15657515942298112)/(1627978215053041)*a^(14) - (4118614007990166)/(1627978215053041)*a^(13) - (1962967091128464)/(1627978215053041)*a^(12) + (28714288170853160)/(1627978215053041)*a^(11) + (54338209147833302)/(1627978215053041)*a^(10) + (29101200604599883)/(1627978215053041)*a^(9) - (9802766058775685)/(1627978215053041)*a^(8) - (29314045270283814)/(1627978215053041)*a^(7) - (5857025137704466)/(1627978215053041)*a^(6) + (25408369700348621)/(1627978215053041)*a^(5) + (33423820050144388)/(1627978215053041)*a^(4) + (20792357117983055)/(1627978215053041)*a^(3) + (10127580134243191)/(1627978215053041)*a^(2) + (4991032773046607)/(1627978215053041)*a + (2030238502465792)/(1627978215053041) ,   (1841018908289000)/(1627978215053041)*a^(23) - (4799636299616111)/(1627978215053041)*a^(22) + (12017485350031610)/(1627978215053041)*a^(21) - (28930897842142009)/(1627978215053041)*a^(20) + (45788769750464839)/(1627978215053041)*a^(19) - (79975448721235699)/(1627978215053041)*a^(18) + (107020253295236456)/(1627978215053041)*a^(17) - (121292856144117869)/(1627978215053041)*a^(16) + (145112618505676519)/(1627978215053041)*a^(15) - (135802522053784012)/(1627978215053041)*a^(14) + (78488907017174028)/(1627978215053041)*a^(13) - (56515876990616418)/(1627978215053041)*a^(12) + (91352906352517568)/(1627978215053041)*a^(11) + (98329553274331766)/(1627978215053041)*a^(10) + (32720629207759091)/(1627978215053041)*a^(9) - (21007563001079277)/(1627978215053041)*a^(8) - (61771781287662271)/(1627978215053041)*a^(7) + (3014435306587380)/(1627978215053041)*a^(6) + (60281510390741655)/(1627978215053041)*a^(5) + (49750116640646090)/(1627978215053041)*a^(4) + (37452391866829437)/(1627978215053041)*a^(3) + (16153233224928617)/(1627978215053041)*a^(2) + (7735235811552676)/(1627978215053041)*a + (2310994862363371)/(1627978215053041) ,   (1624187274210880)/(1627978215053041)*a^(23) - (3811538118349090)/(1627978215053041)*a^(22) + (9508633682998878)/(1627978215053041)*a^(21) - (22986283136766002)/(1627978215053041)*a^(20) + (34305938284977679)/(1627978215053041)*a^(19) - (61291403110426704)/(1627978215053041)*a^(18) + (78823919195373758)/(1627978215053041)*a^(17) - (86342519320849745)/(1627978215053041)*a^(16) + (106264510413287954)/(1627978215053041)*a^(15) - (93317616041950715)/(1627978215053041)*a^(14) + (43257311154726428)/(1627978215053041)*a^(13) - (36284014388754806)/(1627978215053041)*a^(12) + (68661476288164114)/(1627978215053041)*a^(11) + (114409933620665343)/(1627978215053041)*a^(10) + (43484635338911561)/(1627978215053041)*a^(9) - (10831991167175283)/(1627978215053041)*a^(8) - (75097079873486930)/(1627978215053041)*a^(7) - (11634688916722861)/(1627978215053041)*a^(6) + (60550876719871262)/(1627978215053041)*a^(5) + (61765140565983900)/(1627978215053041)*a^(4) + (44769002956348341)/(1627978215053041)*a^(3) + (13309496190429924)/(1627978215053041)*a^(2) + (7088608117380869)/(1627978215053041)*a + (2434628855430253)/(1627978215053041) ,   (2334892982748385)/(1627978215053041)*a^(23) - (5295749046033248)/(1627978215053041)*a^(22) + (12490322730840603)/(1627978215053041)*a^(21) - (29630943980822977)/(1627978215053041)*a^(20) + (41543144775584685)/(1627978215053041)*a^(19) - (72677552407418133)/(1627978215053041)*a^(18) + (88216762869372697)/(1627978215053041)*a^(17) - (87322032139721188)/(1627978215053041)*a^(16) + (106586959071697922)/(1627978215053041)*a^(15) - (86605985578117288)/(1627978215053041)*a^(14) + (15398370937236088)/(1627978215053041)*a^(13) - (11836368527732390)/(1627978215053041)*a^(12) + (81975558986323022)/(1627978215053041)*a^(11) + (166282789134317773)/(1627978215053041)*a^(10) + (52355321532652731)/(1627978215053041)*a^(9) - (29174487341808570)/(1627978215053041)*a^(8) - (89440317135595694)/(1627978215053041)*a^(7) - (3844897585326389)/(1627978215053041)*a^(6) + (83784483562170827)/(1627978215053041)*a^(5) + (80231121306102249)/(1627978215053041)*a^(4) + (51377879602048845)/(1627978215053041)*a^(3) + (24339479531702089)/(1627978215053041)*a^(2) + (14154907784913463)/(1627978215053041)*a + (4935565531754329)/(1627978215053041) ,   (155143502400767)/(1627978215053041)*a^(23) - (93812486375543)/(1627978215053041)*a^(22) + (302323471828985)/(1627978215053041)*a^(21) - (1145158688838803)/(1627978215053041)*a^(20) + (905562779113737)/(1627978215053041)*a^(19) - (3258248125602125)/(1627978215053041)*a^(18) + (4018826306876275)/(1627978215053041)*a^(17) - (5159937341718864)/(1627978215053041)*a^(16) + (11072654889159976)/(1627978215053041)*a^(15) - (10234347899899476)/(1627978215053041)*a^(14) + (6095372668353279)/(1627978215053041)*a^(13) - (14550356677309860)/(1627978215053041)*a^(12) + (17281334469244371)/(1627978215053041)*a^(11) + (20085943699734839)/(1627978215053041)*a^(10) + (18002374341285849)/(1627978215053041)*a^(9) - (5819700131431124)/(1627978215053041)*a^(8) - (26375142550638156)/(1627978215053041)*a^(7) - (3755387258837674)/(1627978215053041)*a^(6) + (15648731998896766)/(1627978215053041)*a^(5) + (19847975500462241)/(1627978215053041)*a^(4) + (7401443359109122)/(1627978215053041)*a^(3) - (4847897910243085)/(1627978215053041)*a^(2) + (52238610621824)/(1627978215053041)*a + (491101743245076)/(1627978215053041) ,   (1058453072337104)/(1627978215053041)*a^(23) - (2187652190075987)/(1627978215053041)*a^(22) + (5410965475294749)/(1627978215053041)*a^(21) - (12863478180223342)/(1627978215053041)*a^(20) + (16859988552654176)/(1627978215053041)*a^(19) - (30350596737140494)/(1627978215053041)*a^(18) + (33891497704963766)/(1627978215053041)*a^(17) - (30894162398482533)/(1627978215053041)*a^(16) + (37597855384151318)/(1627978215053041)*a^(15) - (21552059459600855)/(1627978215053041)*a^(14) - (11040276598008726)/(1627978215053041)*a^(13) + (3953106893845385)/(1627978215053041)*a^(12) + (23080852814333972)/(1627978215053041)*a^(11) + (99060195539626499)/(1627978215053041)*a^(10) + (42243501561989667)/(1627978215053041)*a^(9) - (3241634679859099)/(1627978215053041)*a^(8) - (58152608273043111)/(1627978215053041)*a^(7) - (15524393408635420)/(1627978215053041)*a^(6) + (43480800961007477)/(1627978215053041)*a^(5) + (54764284776942832)/(1627978215053041)*a^(4) + (32336691700259100)/(1627978215053041)*a^(3) + (14709038049936467)/(1627978215053041)*a^(2) + (7843106201202339)/(1627978215053041)*a + (4231755417700106)/(1627978215053041) ,   (25945484187578)/(1627978215053041)*a^(23) + (36428594342262)/(1627978215053041)*a^(22) - (50574237374880)/(1627978215053041)*a^(21) + (56575414020325)/(1627978215053041)*a^(20) - (171951387321319)/(1627978215053041)*a^(19) - (742777979471293)/(1627978215053041)*a^(18) + (1293956877968518)/(1627978215053041)*a^(17) - (3484662022747522)/(1627978215053041)*a^(16) + (6794920658404853)/(1627978215053041)*a^(15) - (8680563581538229)/(1627978215053041)*a^(14) + (10724145821168396)/(1627978215053041)*a^(13) - (11750377342496623)/(1627978215053041)*a^(12) + (9543262617742929)/(1627978215053041)*a^(11) - (1969459416836163)/(1627978215053041)*a^(10) + (8164892925153549)/(1627978215053041)*a^(9) + (9755436756683191)/(1627978215053041)*a^(8) - (2350534729197189)/(1627978215053041)*a^(7) + (194684184294259)/(1627978215053041)*a^(6) - (11296584255001151)/(1627978215053041)*a^(5) + (4241361586559879)/(1627978215053041)*a^(4) + (5977107178322510)/(1627978215053041)*a^(3) + (7658875289767739)/(1627978215053041)*a^(2) + (2462343928408208)/(1627978215053041)*a - (459696461370420)/(1627978215053041) ,   (227366875605470)/(1627978215053041)*a^(23) - (796147265047423)/(1627978215053041)*a^(22) + (1793744524869722)/(1627978215053041)*a^(21) - (3876162621474474)/(1627978215053041)*a^(20) + (5911191008097808)/(1627978215053041)*a^(19) - (8091716411856571)/(1627978215053041)*a^(18) + (9295900034980158)/(1627978215053041)*a^(17) - (5772230479334642)/(1627978215053041)*a^(16) + (1304395562025304)/(1627978215053041)*a^(15) + (3645967875504224)/(1627978215053041)*a^(14) - (13842463539095086)/(1627978215053041)*a^(13) + (20831339093114016)/(1627978215053041)*a^(12) - (11961398414988648)/(1627978215053041)*a^(11) + (18595832150175077)/(1627978215053041)*a^(10) - (16208399358716280)/(1627978215053041)*a^(9) - (3725959044887175)/(1627978215053041)*a^(8) - (7269858496426580)/(1627978215053041)*a^(7) + (5197551030841929)/(1627978215053041)*a^(6) + (7580381823460635)/(1627978215053041)*a^(5) + (3506290698676048)/(1627978215053041)*a^(4) - (2989148765770606)/(1627978215053041)*a^(3) - (2495904285439220)/(1627978215053041)*a^(2) - (2108642499771822)/(1627978215053041)*a - (1421974003996872)/(1627978215053041) ,   (797790212567187)/(1627978215053041)*a^(23) - (2767835049057304)/(1627978215053041)*a^(22) + (6966480081740715)/(1627978215053041)*a^(21) - (16591011896759624)/(1627978215053041)*a^(20) + (29236971532545911)/(1627978215053041)*a^(19) - (48447381468206642)/(1627978215053041)*a^(18) + (69441545206015788)/(1627978215053041)*a^(17) - (81605176186977072)/(1627978215053041)*a^(16) + (92001940626740844)/(1627978215053041)*a^(15) - (93023329851248767)/(1627978215053041)*a^(14) + (65132832976513844)/(1627978215053041)*a^(13) - (36346386827039737)/(1627978215053041)*a^(12) + (46585286849579547)/(1627978215053041)*a^(11) + (13349519793958722)/(1627978215053041)*a^(10) - (18312515897709642)/(1627978215053041)*a^(9) - (19565241689302670)/(1627978215053041)*a^(8) - (12672512342552417)/(1627978215053041)*a^(7) + (20802168685471484)/(1627978215053041)*a^(6) + (25475682033083743)/(1627978215053041)*a^(5) - (492633687405077)/(1627978215053041)*a^(4) - (2316718369380274)/(1627978215053041)*a^(3) - (5766503478225920)/(1627978215053041)*a^(2) + (2653461120243101)/(1627978215053041)*a - (913371545079125)/(1627978215053041) ,   (1845421331395335)/(1627978215053041)*a^(23) - (4744649524409778)/(1627978215053041)*a^(22) + (12074969141023414)/(1627978215053041)*a^(21) - (29179625968425356)/(1627978215053041)*a^(20) + (46163404889915703)/(1627978215053041)*a^(19) - (81458122003446133)/(1627978215053041)*a^(18) + (109043824409853303)/(1627978215053041)*a^(17) - (124830525256341715)/(1627978215053041)*a^(16) + (150226907296201029)/(1627978215053041)*a^(15) - (139260524132799045)/(1627978215053041)*a^(14) + (81336373333132780)/(1627978215053041)*a^(13) - (59898835890672459)/(1627978215053041)*a^(12) + (86922205482819385)/(1627978215053041)*a^(11) + (112264288442472979)/(1627978215053041)*a^(10) + (34216594263411778)/(1627978215053041)*a^(9) - (7484882307433486)/(1627978215053041)*a^(8) - (76593442216983681)/(1627978215053041)*a^(7) - (1503023639508982)/(1627978215053041)*a^(6) + (64958749138871676)/(1627978215053041)*a^(5) + (56365904998202631)/(1627978215053041)*a^(4) + (44822991650090896)/(1627978215053041)*a^(3) + (12400634834861550)/(1627978215053041)*a^(2) + (10107563944404833)/(1627978215053041)*a + (4041504422603232)/(1627978215053041) ], 48570.384925004604, [[x^2 + 5, 1], [x^2 - x - 1, 1], [x^2 + 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - 5*x^2 + 5, 1], [x^4 + 3*x^2 + 1, 1], [x^6 - 2*x^5 + 2*x^4 - 4*x^3 + 7*x^2 - 4*x + 1, 1], [x^8 - x^6 + x^4 - x^2 + 1, 1], [x^12 - 6*x^11 + 19*x^10 - 40*x^9 + 62*x^8 - 74*x^7 + 67*x^6 - 44*x^5 + 21*x^4 - 8*x^3 + 4*x^2 - 2*x + 1, 1]]]