/* 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^25 - 2*x^24 - 2*x^23 - 10*x^22 + 33*x^21 + 5*x^20 - 6*x^19 - 115*x^18 - 16*x^17 + 168*x^16 + 250*x^15 - 16*x^14 + 291*x^13 - 1042*x^12 + 750*x^11 - 1666*x^10 + 1541*x^9 - 903*x^8 + 418*x^7 + 161*x^6 - 27*x^5 + 92*x^4 + 3*x^3 + 8*x^2 + 4*x - 1, 25, 3, [5, 10], 188919613181312032574569023867244773376, [2, 41], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 - 1/3, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/3*a^12 - 1/3*a^4, 1/3*a^13 - 1/3*a^5, 1/9*a^14 - 1/9*a^12 + 1/9*a^10 - 1/9*a^8 - 4/9*a^6 + 4/9*a^4 - 4/9*a^2 + 4/9, 1/9*a^15 - 1/9*a^13 + 1/9*a^11 - 1/9*a^9 - 4/9*a^7 + 4/9*a^5 - 4/9*a^3 + 4/9*a, 1/9*a^16 + 1/9*a^8 - 2/9, 1/9*a^17 + 1/9*a^9 - 2/9*a, 1/9*a^18 + 1/9*a^10 - 2/9*a^2, 1/27*a^19 + 1/27*a^17 - 1/27*a^16 + 1/9*a^13 + 1/27*a^11 - 1/9*a^10 - 2/27*a^9 + 2/27*a^8 - 1/3*a^6 + 2/9*a^5 + 1/3*a^4 - 2/27*a^3 + 4/9*a^2 - 8/27*a - 10/27, 1/27*a^20 + 1/27*a^18 - 1/27*a^17 + 4/27*a^12 - 1/9*a^11 + 4/27*a^10 + 2/27*a^9 + 1/9*a^8 - 1/3*a^7 - 1/3*a^6 + 1/3*a^5 + 13/27*a^4 + 4/9*a^3 - 5/27*a^2 - 10/27*a - 4/9, 1/27*a^21 - 1/27*a^18 - 1/27*a^17 + 1/27*a^16 + 1/27*a^13 - 1/9*a^12 + 1/9*a^11 - 4/27*a^10 - 4/27*a^9 - 2/27*a^8 - 1/3*a^7 - 1/3*a^6 + 7/27*a^5 + 1/9*a^4 - 1/9*a^3 - 13/27*a^2 + 5/27*a + 1/27, 1/27*a^22 - 1/27*a^18 - 1/27*a^17 - 1/27*a^16 + 1/27*a^14 + 1/9*a^12 - 1/9*a^11 + 2/27*a^10 + 2/27*a^9 + 2/27*a^8 - 1/3*a^7 - 2/27*a^6 + 1/3*a^5 + 2/9*a^4 + 4/9*a^3 + 8/27*a^2 - 10/27*a + 8/27, 1/243*a^23 - 1/243*a^22 - 1/243*a^21 - 4/243*a^20 - 1/81*a^18 + 1/27*a^17 - 13/243*a^16 - 2/243*a^15 + 5/243*a^14 + 8/243*a^13 + 11/243*a^12 + 7/81*a^11 - 1/9*a^9 - 1/243*a^8 + 91/243*a^7 - 58/243*a^6 - 25/243*a^5 + 83/243*a^4 + 29/81*a^3 + 25/81*a^2 - 1/3*a - 13/243, 1/63037299496134907413*a^24 + 9427940055707662/21012433165378302471*a^23 + 358581875759631427/63037299496134907413*a^22 + 45485323642375102/63037299496134907413*a^21 + 844871820261555629/63037299496134907413*a^20 + 250166720875192742/21012433165378302471*a^19 - 38592183794982238/21012433165378302471*a^18 - 1739799531437674297/63037299496134907413*a^17 - 281224838037817463/7004144388459434157*a^16 + 1078413241808969117/21012433165378302471*a^15 - 71256602451808061/63037299496134907413*a^14 + 1191123346874256475/63037299496134907413*a^13 - 332133245184295717/63037299496134907413*a^12 - 1585551273144235412/21012433165378302471*a^11 + 30045630546637568/2334714796153144719*a^10 - 6567243915847655107/63037299496134907413*a^9 - 3208842231129570820/21012433165378302471*a^8 - 1601735155552745030/7004144388459434157*a^7 + 11801431537411172800/63037299496134907413*a^6 + 13576898936438163235/63037299496134907413*a^5 - 1884015453554317759/63037299496134907413*a^4 + 770768142286787159/2334714796153144719*a^3 + 7869917667140260525/21012433165378302471*a^2 + 19910342011098244208/63037299496134907413*a + 12783195893832686228/63037299496134907413], 0, 1, [], 1, [ (607430987292377578)/(63037299496134907413)*a^(24) - (1102811541829557398)/(21012433165378302471)*a^(23) + (1027180777833507679)/(63037299496134907413)*a^(22) + (1697582560781898355)/(63037299496134907413)*a^(21) + (46553350711346757044)/(63037299496134907413)*a^(20) - (16031544554239823566)/(21012433165378302471)*a^(19) - (25874080097880586873)/(21012433165378302471)*a^(18) - (87701525011474348291)/(63037299496134907413)*a^(17) + (30751232361167951783)/(7004144388459434157)*a^(16) + (123189087108252155888)/(21012433165378302471)*a^(15) - (143844963335081016935)/(63037299496134907413)*a^(14) - (983979870146346308849)/(63037299496134907413)*a^(13) - (349180796095958397196)/(63037299496134907413)*a^(12) - (362316087239177759960)/(21012433165378302471)*a^(11) + (87836228860458262427)/(2334714796153144719)*a^(10) - (677002063353150181594)/(63037299496134907413)*a^(9) + (1173081539953024438046)/(21012433165378302471)*a^(8) - (70889537646842427605)/(2334714796153144719)*a^(7) + (397796759493920452420)/(63037299496134907413)*a^(6) - (1071547046782194630938)/(63037299496134907413)*a^(5) + (729389560291049093357)/(63037299496134907413)*a^(4) - (13758524960511598948)/(778238265384381573)*a^(3) + (33348234529015878478)/(21012433165378302471)*a^(2) - (86406463150793633644)/(63037299496134907413)*a - (64064169056067668587)/(63037299496134907413) , a , (24443526619032312142)/(63037299496134907413)*a^(24) - (15135307087773473198)/(21012433165378302471)*a^(23) - (64538418827567687864)/(63037299496134907413)*a^(22) - (235104997463320965353)/(63037299496134907413)*a^(21) + (793330412917224722780)/(63037299496134907413)*a^(20) + (107901331331142854909)/(21012433165378302471)*a^(19) - (137375996736146067685)/(21012433165378302471)*a^(18) - (2933828952901188578032)/(63037299496134907413)*a^(17) - (77066373733746010457)/(7004144388459434157)*a^(16) + (1705863342015140522075)/(21012433165378302471)*a^(15) + (6955193039915310886162)/(63037299496134907413)*a^(14) - (1213207186264294845296)/(63037299496134907413)*a^(13) + (4494527017355261998226)/(63037299496134907413)*a^(12) - (8086999611057677341808)/(21012433165378302471)*a^(11) + (481295526711153553940)/(2334714796153144719)*a^(10) - (29036843775246359467009)/(63037299496134907413)*a^(9) + (8963314728716381563769)/(21012433165378302471)*a^(8) - (536993994486372188690)/(7004144388459434157)*a^(7) - (4630568564756977175111)/(63037299496134907413)*a^(6) + (9476052654279911782897)/(63037299496134907413)*a^(5) - (1767270155897355889045)/(63037299496134907413)*a^(4) + (33564046615504892672)/(2334714796153144719)*a^(3) + (107884980622027804168)/(21012433165378302471)*a^(2) + (2201009067517172441)/(63037299496134907413)*a + (148326803275696725287)/(63037299496134907413) , (32712525035444865595)/(63037299496134907413)*a^(24) - (25034741130493922180)/(21012433165378302471)*a^(23) - (41927273240728525949)/(63037299496134907413)*a^(22) - (317229212077166911901)/(63037299496134907413)*a^(21) + (1171519771798217953376)/(63037299496134907413)*a^(20) - (65692642303411589386)/(21012433165378302471)*a^(19) - (32890516672186366537)/(21012433165378302471)*a^(18) - (3733815142533473021437)/(63037299496134907413)*a^(17) + (66259477347597584341)/(7004144388459434157)*a^(16) + (1730277057248990478446)/(21012433165378302471)*a^(15) + (6616950361469431899412)/(63037299496134907413)*a^(14) - (2369476505383350762491)/(63037299496134907413)*a^(13) + (10479636948460584129614)/(63037299496134907413)*a^(12) - (12355851860081525161514)/(21012433165378302471)*a^(11) + (1339891437901905110594)/(2334714796153144719)*a^(10) - (66406297293292987875847)/(63037299496134907413)*a^(9) + (23709392256908754724124)/(21012433165378302471)*a^(8) - (5946692435963323697348)/(7004144388459434157)*a^(7) + (31487597129960891625067)/(63037299496134907413)*a^(6) - (6212690346192516103298)/(63037299496134907413)*a^(5) + (2288091784802388089321)/(63037299496134907413)*a^(4) + (93357508491993993044)/(2334714796153144719)*a^(3) - (106329775157332763153)/(21012433165378302471)*a^(2) + (645452226179817219155)/(63037299496134907413)*a + (4463468376563418245)/(63037299496134907413) , (30484614284836170685)/(63037299496134907413)*a^(24) - (25010128097844439277)/(21012433165378302471)*a^(23) - (15180032049147598139)/(63037299496134907413)*a^(22) - (316921118244194927414)/(63037299496134907413)*a^(21) + (1122263676319847411795)/(63037299496134907413)*a^(20) - (160616775848117475388)/(21012433165378302471)*a^(19) + (125736218585661510767)/(21012433165378302471)*a^(18) - (3504127649656204740529)/(63037299496134907413)*a^(17) + (116600633221072115386)/(7004144388459434157)*a^(16) + (1108772623696979363789)/(21012433165378302471)*a^(15) + (5514780210876557248363)/(63037299496134907413)*a^(14) - (1102951436090683238384)/(63037299496134907413)*a^(13) + (12777546092538578327915)/(63037299496134907413)*a^(12) - (12365340699437651850209)/(21012433165378302471)*a^(11) + (1589617260759828845006)/(2334714796153144719)*a^(10) - (81456845644807535109427)/(63037299496134907413)*a^(9) + (29674986920422938938429)/(21012433165378302471)*a^(8) - (9306188102807709244394)/(7004144388459434157)*a^(7) + (62560207319746607204284)/(63037299496134907413)*a^(6) - (26848371478640712755663)/(63037299496134907413)*a^(5) + (11845690319121407107631)/(63037299496134907413)*a^(4) + (64843492636284751610)/(2334714796153144719)*a^(3) - (479174933069980862519)/(21012433165378302471)*a^(2) + (1614257393780181563162)/(63037299496134907413)*a - (278373220104412542712)/(63037299496134907413) , (545124771321140261)/(7004144388459434157)*a^(24) - (2335891877860735028)/(7004144388459434157)*a^(23) + (788274938037838156)/(7004144388459434157)*a^(22) - (861505872238928897)/(7004144388459434157)*a^(21) + (3391419204851067002)/(778238265384381573)*a^(20) - (11719819090389432542)/(2334714796153144719)*a^(19) - (1480281458484533269)/(259412755128127191)*a^(18) - (35152010131144865480)/(7004144388459434157)*a^(17) + (162755142911393340155)/(7004144388459434157)*a^(16) + (183746375189710567345)/(7004144388459434157)*a^(15) - (174104860886877647126)/(7004144388459434157)*a^(14) - (512463949957806364436)/(7004144388459434157)*a^(13) + (52983237304192691585)/(2334714796153144719)*a^(12) - (63316851518933558518)/(778238265384381573)*a^(11) + (188067025267424626924)/(778238265384381573)*a^(10) - (994580916516382562705)/(7004144388459434157)*a^(9) + (1619750168676359003792)/(7004144388459434157)*a^(8) - (1383628224637930412087)/(7004144388459434157)*a^(7) - (682354460201561965571)/(7004144388459434157)*a^(6) + (752162470216081755349)/(7004144388459434157)*a^(5) - (142285100631411437081)/(2334714796153144719)*a^(4) + (59566850580901764071)/(2334714796153144719)*a^(3) + (4596820361893639987)/(778238265384381573)*a^(2) + (14904538598851202098)/(7004144388459434157)*a + (1009878911800629155)/(259412755128127191) , (17720865474291754996)/(21012433165378302471)*a^(24) - (12325406988390080842)/(7004144388459434157)*a^(23) - (38642422895383210007)/(21012433165378302471)*a^(22) - (163953962976816383093)/(21012433165378302471)*a^(21) + (618134894147766168419)/(21012433165378302471)*a^(20) + (35038308514357554452)/(7004144388459434157)*a^(19) - (100319966763498553507)/(7004144388459434157)*a^(18) - (2148739099912565036026)/(21012433165378302471)*a^(17) - (23211947061884197075)/(7004144388459434157)*a^(16) + (419823535368861207689)/(2334714796153144719)*a^(15) + (4560883320715353038863)/(21012433165378302471)*a^(14) - (1777232533672676683730)/(21012433165378302471)*a^(13) + (3052393386639297615455)/(21012433165378302471)*a^(12) - (6448079588831217499868)/(7004144388459434157)*a^(11) + (166811575696497411893)/(259412755128127191)*a^(10) - (24425295670049246728294)/(21012433165378302471)*a^(9) + (9304328068695075956848)/(7004144388459434157)*a^(8) - (3394957104231902470541)/(7004144388459434157)*a^(7) + (2350725664522793271511)/(21012433165378302471)*a^(6) + (3427432356739525990660)/(21012433165378302471)*a^(5) - (1719343467192304955782)/(21012433165378302471)*a^(4) + (46810137787408474931)/(2334714796153144719)*a^(3) - (97495191391610445194)/(7004144388459434157)*a^(2) - (70666687898463012064)/(21012433165378302471)*a + (52153843466897015315)/(21012433165378302471) , (36401488352102897696)/(63037299496134907413)*a^(24) - (29176409397558619921)/(21012433165378302471)*a^(23) - (39138372915340039354)/(63037299496134907413)*a^(22) - (342466029712463455294)/(63037299496134907413)*a^(21) + (1340958672754224295819)/(63037299496134907413)*a^(20) - (117088609682882365169)/(21012433165378302471)*a^(19) - (53941167134013983807)/(21012433165378302471)*a^(18) - (4077385708068787847408)/(63037299496134907413)*a^(17) + (128431104773350619026)/(7004144388459434157)*a^(16) + (1955433133689417734923)/(21012433165378302471)*a^(15) + (6474262252064520295829)/(63037299496134907413)*a^(14) - (3789379471766187116218)/(63037299496134907413)*a^(13) + (11982177564670815825235)/(63037299496134907413)*a^(12) - (13928234011285404922921)/(21012433165378302471)*a^(11) + (1640912250862827639277)/(2334714796153144719)*a^(10) - (76111694067570132569465)/(63037299496134907413)*a^(9) + (27899782886372122516714)/(21012433165378302471)*a^(8) - (264465901161487462148)/(259412755128127191)*a^(7) + (35784997738304573870126)/(63037299496134907413)*a^(6) - (6408171799787348461150)/(63037299496134907413)*a^(5) + (1325598192305088756022)/(63037299496134907413)*a^(4) + (11933181211546360385)/(259412755128127191)*a^(3) - (131027262057124140067)/(21012433165378302471)*a^(2) + (683217622177837008418)/(63037299496134907413)*a + (41362622054764470859)/(63037299496134907413) , (77674530929010750857)/(63037299496134907413)*a^(24) - (45206174866200421303)/(21012433165378302471)*a^(23) - (205336567116872694505)/(63037299496134907413)*a^(22) - (793263759574166305000)/(63037299496134907413)*a^(21) + (2384542529133462690835)/(63037299496134907413)*a^(20) + (380038380163413570553)/(21012433165378302471)*a^(19) - (246645940438098088265)/(21012433165378302471)*a^(18) - (9058106081097520599995)/(63037299496134907413)*a^(17) - (126405895288967291786)/(2334714796153144719)*a^(16) + (4666673372726127643924)/(21012433165378302471)*a^(15) + (22686663799999977417416)/(63037299496134907413)*a^(14) + (1719741851370283013501)/(63037299496134907413)*a^(13) + (19739823962251493404453)/(63037299496134907413)*a^(12) - (24784573478808112233220)/(21012433165378302471)*a^(11) + (1306447305305017589419)/(2334714796153144719)*a^(10) - (102645182966058191588726)/(63037299496134907413)*a^(9) + (25748044766041667078893)/(21012433165378302471)*a^(8) - (2418119708203075980929)/(7004144388459434157)*a^(7) - (5675092179530655240019)/(63037299496134907413)*a^(6) + (32320096594114456449947)/(63037299496134907413)*a^(5) - (5703291234829945499147)/(63037299496134907413)*a^(4) + (273305279868198038882)/(2334714796153144719)*a^(3) + (624725309819146812698)/(21012433165378302471)*a^(2) + (489001109568044973544)/(63037299496134907413)*a + (733221076510798343275)/(63037299496134907413) , (23183456810113278268)/(63037299496134907413)*a^(24) - (15592402764178226570)/(21012433165378302471)*a^(23) - (45856178426369321018)/(63037299496134907413)*a^(22) - (229705419018171615734)/(63037299496134907413)*a^(21) + (768948763847980352909)/(63037299496134907413)*a^(20) + (34123486366210287569)/(21012433165378302471)*a^(19) - (52779767154036157096)/(21012433165378302471)*a^(18) - (2646319281119593381909)/(63037299496134907413)*a^(17) - (32619219483002599283)/(7004144388459434157)*a^(16) + (1305987718790980578287)/(21012433165378302471)*a^(15) + (5639787918820680937603)/(63037299496134907413)*a^(14) - (599582093257175505134)/(63037299496134907413)*a^(13) + (6846842280735420366047)/(63037299496134907413)*a^(12) - (7988626307191063474232)/(21012433165378302471)*a^(11) + (658400979763459765775)/(2334714796153144719)*a^(10) - (38595317202939386084047)/(63037299496134907413)*a^(9) + (11838745410037297238582)/(21012433165378302471)*a^(8) - (2376118488688214965028)/(7004144388459434157)*a^(7) + (9470094662166997205494)/(63037299496134907413)*a^(6) + (3911367052969644936292)/(63037299496134907413)*a^(5) + (334389002045402978225)/(63037299496134907413)*a^(4) + (46093766244211576946)/(2334714796153144719)*a^(3) + (120691314723851888605)/(21012433165378302471)*a^(2) + (277747000576358780591)/(63037299496134907413)*a + (2321013938347445261)/(63037299496134907413) , (55363438594259054698)/(21012433165378302471)*a^(24) - (44545005178280774038)/(7004144388459434157)*a^(23) - (56546621532674406392)/(21012433165378302471)*a^(22) - (527449689565243498169)/(21012433165378302471)*a^(21) + (2046374739509486101142)/(21012433165378302471)*a^(20) - (186707130269456756575)/(7004144388459434157)*a^(19) - (47514746319215511310)/(7004144388459434157)*a^(18) - (6294503205938593344256)/(21012433165378302471)*a^(17) + (576945535814806158320)/(7004144388459434157)*a^(16) + (967150349129174946263)/(2334714796153144719)*a^(15) + (10187253422999527002922)/(21012433165378302471)*a^(14) - 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