/* 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 - 6*x^23 + 21*x^22 - 54*x^21 + 107*x^20 - 178*x^19 + 265*x^18 - 376*x^17 + 537*x^16 - 744*x^15 + 966*x^14 - 1140*x^13 + 1221*x^12 - 1228*x^11 + 1176*x^10 - 1074*x^9 + 914*x^8 - 696*x^7 + 471*x^6 - 280*x^5 + 140*x^4 - 58*x^3 + 21*x^2 - 6*x + 1, 24, 65, [0, 12], 368947264000000000000000000, [2, 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, a^20, a^21, a^22, 1/191679830229179*a^23 + 8422786950576/191679830229179*a^22 - 22694145349783/191679830229179*a^21 - 6161595013249/191679830229179*a^20 - 73723363546300/191679830229179*a^19 + 55063250317610/191679830229179*a^18 + 33976018607284/191679830229179*a^17 - 85199078093611/191679830229179*a^16 + 33893792053320/191679830229179*a^15 + 31808053967254/191679830229179*a^14 + 54734987496610/191679830229179*a^13 + 5199015835275/191679830229179*a^12 + 59348984355966/191679830229179*a^11 - 32238076066833/191679830229179*a^10 - 79659112112203/191679830229179*a^9 + 42917911640006/191679830229179*a^8 + 15963632334858/191679830229179*a^7 - 40481349346422/191679830229179*a^6 + 21920184363788/191679830229179*a^5 - 54317148824536/191679830229179*a^4 - 64837609145563/191679830229179*a^3 - 21523508422520/191679830229179*a^2 - 69505981625860/191679830229179*a + 95071079886986/191679830229179], 0, 1, [], 1, [ (313763220963504)/(191679830229179)*a^(23) - (1687836681608254)/(191679830229179)*a^(22) + (5507401985572458)/(191679830229179)*a^(21) - (13364803847302265)/(191679830229179)*a^(20) + (24821203278387743)/(191679830229179)*a^(19) - (39461411628186472)/(191679830229179)*a^(18) + (57070134648462231)/(191679830229179)*a^(17) - (80258709009145744)/(191679830229179)*a^(16) + (115405408960210537)/(191679830229179)*a^(15) - (157062053609094699)/(191679830229179)*a^(14) + (198546671489196206)/(191679830229179)*a^(13) - (225356680504359886)/(191679830229179)*a^(12) + (232651954431221309)/(191679830229179)*a^(11) - (229675981417572392)/(191679830229179)*a^(10) + (215016026417717446)/(191679830229179)*a^(9) - (191580831850280640)/(191679830229179)*a^(8) + (156634232998219309)/(191679830229179)*a^(7) - (111572099972553731)/(191679830229179)*a^(6) + (71184545553705932)/(191679830229179)*a^(5) - (38644507256271254)/(191679830229179)*a^(4) + (16245152207273461)/(191679830229179)*a^(3) - (5884793848601881)/(191679830229179)*a^(2) + (1830755030689808)/(191679830229179)*a - (237902161820265)/(191679830229179) , (79182690531977)/(191679830229179)*a^(23) - (523203456226157)/(191679830229179)*a^(22) + (1884757051842547)/(191679830229179)*a^(21) - (4927519453892974)/(191679830229179)*a^(20) + (9918219731216240)/(191679830229179)*a^(19) - (16484548834404512)/(191679830229179)*a^(18) + (24507636673399305)/(191679830229179)*a^(17) - (34637070031649403)/(191679830229179)*a^(16) + (49273407845263607)/(191679830229179)*a^(15) - (68803548345678423)/(191679830229179)*a^(14) + (89249680791799558)/(191679830229179)*a^(13) - (105449788366541257)/(191679830229179)*a^(12) + (112429547872695719)/(191679830229179)*a^(11) - (112030384156610970)/(191679830229179)*a^(10) + (107300037060184190)/(191679830229179)*a^(9) - (97239486342076996)/(191679830229179)*a^(8) + (82284265462511998)/(191679830229179)*a^(7) - (62103667518784124)/(191679830229179)*a^(6) + (40782581971133488)/(191679830229179)*a^(5) - (23869560198339909)/(191679830229179)*a^(4) + (11221316801336198)/(191679830229179)*a^(3) - (3857173561998741)/(191679830229179)*a^(2) + (1328156048179644)/(191679830229179)*a - (276077805680338)/(191679830229179) , (88654107573095)/(191679830229179)*a^(23) - (286968977528091)/(191679830229179)*a^(22) + (591938549466787)/(191679830229179)*a^(21) - (721133030624724)/(191679830229179)*a^(20) - (210776520387930)/(191679830229179)*a^(19) + (1849478620660784)/(191679830229179)*a^(18) - (4126414713761298)/(191679830229179)*a^(17) + (6105605742305436)/(191679830229179)*a^(16) - (7610795751329995)/(191679830229179)*a^(15) + (13601763723536734)/(191679830229179)*a^(14) - (21909067378778974)/(191679830229179)*a^(13) + (33819892289679495)/(191679830229179)*a^(12) - (42145520082287996)/(191679830229179)*a^(11) + (43783067887620141)/(191679830229179)*a^(10) - (44639498816783199)/(191679830229179)*a^(9) + (42754203082193328)/(191679830229179)*a^(8) - (41065467889496540)/(191679830229179)*a^(7) + (36322281065835407)/(191679830229179)*a^(6) - (25636505805261983)/(191679830229179)*a^(5) + (16466963844516421)/(191679830229179)*a^(4) - (8604417682558160)/(191679830229179)*a^(3) + (2959866457641653)/(191679830229179)*a^(2) - (928205194416882)/(191679830229179)*a + (334917563525729)/(191679830229179) , (467578773838715)/(191679830229179)*a^(23) - (2493462653996429)/(191679830229179)*a^(22) + (8123422716023068)/(191679830229179)*a^(21) - (19694234964454630)/(191679830229179)*a^(20) + (36535493526931051)/(191679830229179)*a^(19) - (58164987048930725)/(191679830229179)*a^(18) + (84204071782432821)/(191679830229179)*a^(17) - (118621264154250273)/(191679830229179)*a^(16) + (170833057939147128)/(191679830229179)*a^(15) - (232398199182335617)/(191679830229179)*a^(14) + (294132781641586828)/(191679830229179)*a^(13) - (334079293461732208)/(191679830229179)*a^(12) + (345935585052834118)/(191679830229179)*a^(11) - (343159325673276837)/(191679830229179)*a^(10) + (322506687251188491)/(191679830229179)*a^(9) - (288833953242199979)/(191679830229179)*a^(8) + (236909396424266531)/(191679830229179)*a^(7) - (170086510159008898)/(191679830229179)*a^(6) + (110366663489681134)/(191679830229179)*a^(5) - (61359091828841754)/(191679830229179)*a^(4) + (27367523740190597)/(191679830229179)*a^(3) - (10568501480725447)/(191679830229179)*a^(2) + (3669858286629920)/(191679830229179)*a - (560501170853498)/(191679830229179) , (137178468631118)/(191679830229179)*a^(23) - (763704119341484)/(191679830229179)*a^(22) + (2551380530588890)/(191679830229179)*a^(21) - (6278616861759977)/(191679830229179)*a^(20) + (11827550822098686)/(191679830229179)*a^(19) - (18903115724387717)/(191679830229179)*a^(18) + (27291128402869012)/(191679830229179)*a^(17) - (38324466250679563)/(191679830229179)*a^(16) + (55021965239826114)/(191679830229179)*a^(15) - (75383209819922113)/(191679830229179)*a^(14) + (95839576882413420)/(191679830229179)*a^(13) - (108889824679269409)/(191679830229179)*a^(12) + (112496573457461855)/(191679830229179)*a^(11) - (110673944395938092)/(191679830229179)*a^(10) + (103967537279651536)/(191679830229179)*a^(9) - (93281558079256180)/(191679830229179)*a^(8) + (76042802028985521)/(191679830229179)*a^(7) - (54364521900533483)/(191679830229179)*a^(6) + (34246767881635397)/(191679830229179)*a^(5) - (18599597487417764)/(191679830229179)*a^(4) + (8073762260422627)/(191679830229179)*a^(3) - (2674731663963744)/(191679830229179)*a^(2) + (883446793738667)/(191679830229179)*a - (136879939765985)/(191679830229179) , (134917902018512)/(191679830229179)*a^(23) - (595406819560583)/(191679830229179)*a^(22) + (1714665666602012)/(191679830229179)*a^(21) - (3686143990555089)/(191679830229179)*a^(20) + (5822552071532721)/(191679830229179)*a^(19) - (8274614756546175)/(191679830229179)*a^(18) + (10994080443954993)/(191679830229179)*a^(17) - (15227414041606214)/(191679830229179)*a^(16) + (22586429310685327)/(191679830229179)*a^(15) - (28519081945823994)/(191679830229179)*a^(14) + (33008063058380175)/(191679830229179)*a^(13) - (31548664450923947)/(191679830229179)*a^(12) + (27736305547137948)/(191679830229179)*a^(11) - (25513330258899069)/(191679830229179)*a^(10) + (21119738358260073)/(191679830229179)*a^(9) - (16482051349437625)/(191679830229179)*a^(8) + (9593424753405347)/(191679830229179)*a^(7) - (2025169588967007)/(191679830229179)*a^(6) - (582505257031979)/(191679830229179)*a^(5) + (2423064148918149)/(191679830229179)*a^(4) - (2557989766830080)/(191679830229179)*a^(3) + (838088717432422)/(191679830229179)*a^(2) - (185808902177567)/(191679830229179)*a + (332839733891005)/(191679830229179) , (103763337899096)/(191679830229179)*a^(23) - (597060135753884)/(191679830229179)*a^(22) + (2095612837191614)/(191679830229179)*a^(21) - (5426227315565984)/(191679830229179)*a^(20) + (10830976145632661)/(191679830229179)*a^(19) - (18253378541427622)/(191679830229179)*a^(18) + (27243091385252549)/(191679830229179)*a^(17) - (38528861050888519)/(191679830229179)*a^(16) + (54700011141013705)/(191679830229179)*a^(15) - (75437563183595874)/(191679830229179)*a^(14) + (98773359356783786)/(191679830229179)*a^(13) - (116978278777610329)/(191679830229179)*a^(12) + (125459369869091003)/(191679830229179)*a^(11) - (125089049226446843)/(191679830229179)*a^(10) + (117936948406587332)/(191679830229179)*a^(9) - (107509413665944074)/(191679830229179)*a^(8) + (91053568022680411)/(191679830229179)*a^(7) - (69136300282533060)/(191679830229179)*a^(6) + (45541861983076084)/(191679830229179)*a^(5) - (25276412067251555)/(191679830229179)*a^(4) + (11641707886817265)/(191679830229179)*a^(3) - (4080575311044370)/(191679830229179)*a^(2) + (1129701580821725)/(191679830229179)*a - (145015384528938)/(191679830229179) , (124476743978622)/(191679830229179)*a^(23) - (651947171615861)/(191679830229179)*a^(22) + (2035361255049567)/(191679830229179)*a^(21) - (4719709506539296)/(191679830229179)*a^(20) + (8251937792407413)/(191679830229179)*a^(19) - (12313027924156840)/(191679830229179)*a^(18) + (17070025607895553)/(191679830229179)*a^(17) - (23663761452325937)/(191679830229179)*a^(16) + (34534568216082931)/(191679830229179)*a^(15) - (46674388498756399)/(191679830229179)*a^(14) + (56594128810454106)/(191679830229179)*a^(13) - (60420058222924723)/(191679830229179)*a^(12) + (58028804160381070)/(191679830229179)*a^(11) - (55681463747531768)/(191679830229179)*a^(10) + (52144991165400512)/(191679830229179)*a^(9) - (45339468540238262)/(191679830229179)*a^(8) + (35094679092895275)/(191679830229179)*a^(7) - (21423110659543737)/(191679830229179)*a^(6) + (12093192262763758)/(191679830229179)*a^(5) - (6712634096151460)/(191679830229179)*a^(4) + (3013791893232989)/(191679830229179)*a^(3) - (1591649884296993)/(191679830229179)*a^(2) + (1014198226378110)/(191679830229179)*a - (201626230726472)/(191679830229179) , (338441737459678)/(191679830229179)*a^(23) - (1956330674949812)/(191679830229179)*a^(22) + (6655718297523013)/(191679830229179)*a^(21) - (16725821086949440)/(191679830229179)*a^(20) + (32270759767500171)/(191679830229179)*a^(19) - (52549573019909211)/(191679830229179)*a^(18) + (77132499747315657)/(191679830229179)*a^(17) - (108737025535265427)/(191679830229179)*a^(16) + (155711077963729379)/(191679830229179)*a^(15) - (214578266835034088)/(191679830229179)*a^(14) + (275338398612415898)/(191679830229179)*a^(13) - (319597006864809307)/(191679830229179)*a^(12) + (335784079258252875)/(191679830229179)*a^(11) - (334359991395801397)/(191679830229179)*a^(10) + (317057126202295024)/(191679830229179)*a^(9) - (286461784557797941)/(191679830229179)*a^(8) + (239682215283942744)/(191679830229179)*a^(7) - (176936179096592003)/(191679830229179)*a^(6) + (115935112550402769)/(191679830229179)*a^(5) - (66462845647924892)/(191679830229179)*a^(4) + (30660312222980218)/(191679830229179)*a^(3) - (11979845551414558)/(191679830229179)*a^(2) + (4162939826449370)/(191679830229179)*a - (884858325660133)/(191679830229179) , (8537259204596)/(191679830229179)*a^(23) - (14338870339241)/(191679830229179)*a^(22) + (20945316892571)/(191679830229179)*a^(21) - (1041265056030)/(191679830229179)*a^(20) - (92554557882445)/(191679830229179)*a^(19) + (119115536955379)/(191679830229179)*a^(18) - (206032764670443)/(191679830229179)*a^(17) + (244156048158941)/(191679830229179)*a^(16) - (374200090640677)/(191679830229179)*a^(15) + (1042539741161325)/(191679830229179)*a^(14) - (1248939224728069)/(191679830229179)*a^(13) + (1866190587324817)/(191679830229179)*a^(12) - (1737169041479717)/(191679830229179)*a^(11) + (1889980767145444)/(191679830229179)*a^(10) - (2793608561131151)/(191679830229179)*a^(9) + (2840197032299269)/(191679830229179)*a^(8) - (3247955295895097)/(191679830229179)*a^(7) + (2457238963864229)/(191679830229179)*a^(6) - (1895660637898301)/(191679830229179)*a^(5) + (2018884897518577)/(191679830229179)*a^(4) - (1497723526023011)/(191679830229179)*a^(3) + (1297560105779923)/(191679830229179)*a^(2) - (615263025961386)/(191679830229179)*a + (340458458469721)/(191679830229179) , (805942816283302)/(191679830229179)*a^(23) - (4428718630920707)/(191679830229179)*a^(22) + (14656090934308577)/(191679830229179)*a^(21) - (35944211472108235)/(191679830229179)*a^(20) + (67494521557962587)/(191679830229179)*a^(19) - (107902133652930661)/(191679830229179)*a^(18) + (156267814153658233)/(191679830229179)*a^(17) - (219525284415698461)/(191679830229179)*a^(16) + (315216074953155221)/(191679830229179)*a^(15) - (431012892629313934)/(191679830229179)*a^(14) + (547431310941894888)/(191679830229179)*a^(13) - (623885340567056497)/(191679830229179)*a^(12) + (645278314486012837)/(191679830229179)*a^(11) - (636433502920404609)/(191679830229179)*a^(10) + (597744142138473398)/(191679830229179)*a^(9) - (535614994917317150)/(191679830229179)*a^(8) + (439713130402336142)/(191679830229179)*a^(7) - (315164896087296134)/(191679830229179)*a^(6) + (200639453086418125)/(191679830229179)*a^(5) - (110017565256230445)/(191679830229179)*a^(4) + (48249824663275958)/(191679830229179)*a^(3) - (17509305547395325)/(191679830229179)*a^(2) + (5930896294730092)/(191679830229179)*a - (1042582499020608)/(191679830229179) ], 15456.373586053287, [[x^2 - x - 1, 1], [x^2 + 5, 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 + 3*x^4 + 4*x^2 + 2*x + 1, 1], [x^8 - x^6 + x^4 - x^2 + 1, 1], [x^12 + x^10 - 4*x^9 + 4*x^8 - 6*x^7 + 12*x^6 - 12*x^5 + 12*x^4 - 16*x^3 + 14*x^2 - 6*x + 1, 1]]]