/* 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 - x^23 - 4*x^22 + x^21 + x^20 - 5*x^19 + 37*x^18 + 33*x^17 - 39*x^16 - 57*x^15 - 111*x^14 - 16*x^13 + 118*x^12 + 13*x^11 + 47*x^9 + 156*x^8 + 319*x^7 + 175*x^6 - 76*x^5 - 127*x^4 - 44*x^3 + 48*x^2 + 56*x + 16, 24, 65, [0, 12], 34430548576629947662353515625, [3, 5, 19], [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, 1/2*a^17 - 1/2*a^16 - 1/2*a^13 - 1/2*a^11 - 1/2*a^4 - 1/2*a^2 - 1/2*a, 1/2*a^18 - 1/2*a^16 - 1/2*a^14 - 1/2*a^13 - 1/2*a^12 - 1/2*a^11 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a, 1/2*a^19 - 1/2*a^16 - 1/2*a^15 - 1/2*a^14 - 1/2*a^12 - 1/2*a^11 - 1/2*a^6 - 1/2*a^5 - 1/2*a, 1/2*a^20 - 1/2*a^15 - 1/2*a^12 - 1/2*a^11 - 1/2*a^7 - 1/2*a^6 - 1/2*a^4 - 1/2*a, 1/2*a^21 - 1/2*a^16 - 1/2*a^13 - 1/2*a^12 - 1/2*a^8 - 1/2*a^7 - 1/2*a^5 - 1/2*a^2, 1/1425556*a^22 + 41357/1425556*a^21 - 15043/712778*a^20 - 196965/1425556*a^19 - 317161/1425556*a^18 + 60521/1425556*a^17 + 44291/129596*a^16 + 682817/1425556*a^15 - 353827/1425556*a^14 - 55911/1425556*a^13 - 519895/1425556*a^12 + 135136/356389*a^11 + 219189/712778*a^10 - 51293/129596*a^9 + 324799/712778*a^8 - 18529/1425556*a^7 + 3869/32399*a^6 - 365647/1425556*a^5 + 165805/1425556*a^4 + 274965/712778*a^3 - 405607/1425556*a^2 - 29541/356389*a + 46623/356389, 1/85703606366693128*a^23 + 18163868979/85703606366693128*a^22 + 1048338166402372/10712950795836641*a^21 + 15906265505534113/85703606366693128*a^20 + 12743854618137629/85703606366693128*a^19 - 878378445445419/7791236942426648*a^18 + 7913804544221361/85703606366693128*a^17 - 28970327234607371/85703606366693128*a^16 + 23854512785139669/85703606366693128*a^15 + 36354610084564603/85703606366693128*a^14 + 3661253358170429/85703606366693128*a^13 + 906506742036311/21425901591673282*a^12 - 3819911632942621/42851803183346564*a^11 - 29553639811128595/85703606366693128*a^10 + 2650181397954751/21425901591673282*a^9 + 7273315788756047/85703606366693128*a^8 + 5059110145331208/10712950795836641*a^7 + 28804495284019239/85703606366693128*a^6 - 1322431666416461/85703606366693128*a^5 + 3976816316270953/10712950795836641*a^4 + 27951577922856681/85703606366693128*a^3 + 2755054537062789/10712950795836641*a^2 - 3158720930017212/10712950795836641*a + 2636870551896277/10712950795836641], 0, 1, [], 1, [ (41511456867422647)/(7791236942426648)*a^(23) - (71124336839639031)/(7791236942426648)*a^(22) - (28855529828699355)/(1947809235606662)*a^(21) + (124271614090080167)/(7791236942426648)*a^(20) - (47396267837036657)/(7791236942426648)*a^(19) - (174273256548987747)/(7791236942426648)*a^(18) + (1661231097080548275)/(7791236942426648)*a^(17) + (184445511427410831)/(7791236942426648)*a^(16) - (1755538622865577977)/(7791236942426648)*a^(15) - (1104815595014818455)/(7791236942426648)*a^(14) - (3821026735593706537)/(7791236942426648)*a^(13) + (257410592055463586)/(973904617803331)*a^(12) + (1718772099251540601)/(3895618471213324)*a^(11) - (1934682544516080445)/(7791236942426648)*a^(10) + (174098865108318877)/(973904617803331)*a^(9) + (961614345477927201)/(7791236942426648)*a^(8) + (1443809678673949617)/(1947809235606662)*a^(7) + (9135928288802973929)/(7791236942426648)*a^(6) + (732947700246923617)/(7791236942426648)*a^(5) - (917423241180646237)/(1947809235606662)*a^(4) - (2630956473451647321)/(7791236942426648)*a^(3) + (11959491214913131)/(1947809235606662)*a^(2) + (244723151584004140)/(973904617803331)*a + (116273839984657365)/(973904617803331) , (117915814377341653)/(42851803183346564)*a^(23) - (197207171645330503)/(42851803183346564)*a^(22) - (85006782973489926)/(10712950795836641)*a^(21) + (348478004387897971)/(42851803183346564)*a^(20) - (113679103893968149)/(42851803183346564)*a^(19) - (518245734125825657)/(42851803183346564)*a^(18) + (4713653758914993037)/(42851803183346564)*a^(17) + (727035149700994613)/(42851803183346564)*a^(16) - (5129588610391762855)/(42851803183346564)*a^(15) - (3265932441257164717)/(42851803183346564)*a^(14) - (10829050500302674923)/(42851803183346564)*a^(13) + (1346668237222617290)/(10712950795836641)*a^(12) + (2592770900643767350)/(10712950795836641)*a^(11) - (5523067453432221815)/(42851803183346564)*a^(10) + (1809883378337436571)/(21425901591673282)*a^(9) + (17747524028759473)/(236750293830644)*a^(8) + (8086893335090639107)/(21425901591673282)*a^(7) + (26743766156315915693)/(42851803183346564)*a^(6) + (2551875730292042513)/(42851803183346564)*a^(5) - (2704264347260549967)/(10712950795836641)*a^(4) - (691362455020807511)/(3895618471213324)*a^(3) + (25998071151352511)/(21425901591673282)*a^(2) + (258156184163192927)/(1947809235606662)*a + (681261028908677031)/(10712950795836641) , (371234190510806885)/(85703606366693128)*a^(23) - (636485209491416289)/(85703606366693128)*a^(22) - (256738157000621805)/(21425901591673282)*a^(21) + (1097188752868354825)/(85703606366693128)*a^(20) - (415161627434918983)/(85703606366693128)*a^(19) - (1549097398913238489)/(85703606366693128)*a^(18) + (14828511624840685177)/(85703606366693128)*a^(17) + (1654544733134683373)/(85703606366693128)*a^(16) - (15531291059775446379)/(85703606366693128)*a^(15) - (56075874665647321)/(473500587661288)*a^(14) - (34000142893723107315)/(85703606366693128)*a^(13) + (2289689432434917564)/(10712950795836641)*a^(12) + (15203866768635892277)/(42851803183346564)*a^(11) - (16534622970977535495)/(85703606366693128)*a^(10) + (2942939500964107995)/(21425901591673282)*a^(9) + (8934764230115188039)/(85703606366693128)*a^(8) + (6472006179964905754)/(10712950795836641)*a^(7) + (81270287610333563503)/(85703606366693128)*a^(6) + (680405073984711765)/(7791236942426648)*a^(5) - (8292619405652093251)/(21425901591673282)*a^(4) - (23566942711178502951)/(85703606366693128)*a^(3) + (4649609213257428)/(973904617803331)*a^(2) + (4353802488860959789)/(21425901591673282)*a + (1059300975064970371)/(10712950795836641) , (381283206865425279)/(42851803183346564)*a^(23) - (164858144691396985)/(10712950795836641)*a^(22) - (1044484776438776617)/(42851803183346564)*a^(21) + (104090752331789285)/(3895618471213324)*a^(20) - (113903370762063690)/(10712950795836641)*a^(19) - (393791642041752799)/(10712950795836641)*a^(18) + (7629549949266849699)/(21425901591673282)*a^(17) + (362341909648943230)/(10712950795836641)*a^(16) - (3986264534325785631)/(10712950795836641)*a^(15) - (5031392184190752101)/(21425901591673282)*a^(14) - (795385354227717250)/(973904617803331)*a^(13) + (19443091304802975639)/(42851803183346564)*a^(12) + (15401539505952585817)/(21425901591673282)*a^(11) - (17580018652140570743)/(42851803183346564)*a^(10) + (12881937501465621291)/(42851803183346564)*a^(9) + (8501267233777125151)/(42851803183346564)*a^(8) + (53297042261230014427)/(42851803183346564)*a^(7) + (82738266125810173515)/(42851803183346564)*a^(6) + (3165150345577140835)/(21425901591673282)*a^(5) - (33545502047856495449)/(42851803183346564)*a^(4) - (23918508832009998985)/(42851803183346564)*a^(3) + (682622515865958191)/(42851803183346564)*a^(2) + (4438109974878253248)/(10712950795836641)*a + (2082027381630572757)/(10712950795836641) , (126579200122743)/(42851803183346564)*a^(23) - (580652075312791)/(10712950795836641)*a^(22) + (5177648995151889)/(42851803183346564)*a^(21) + (1065499179972429)/(42851803183346564)*a^(20) - (173249387676547)/(973904617803331)*a^(19) + (5451699272571039)/(21425901591673282)*a^(18) + (816617163798334)/(10712950795836641)*a^(17) - (42078698499051245)/(21425901591673282)*a^(16) + (33666863419832609)/(21425901591673282)*a^(15) + (3662368175817631)/(10712950795836641)*a^(14) - (1168068138189561)/(21425901591673282)*a^(13) + (222910587794220553)/(42851803183346564)*a^(12) - (71680878296782015)/(10712950795836641)*a^(11) + (101296711358348765)/(42851803183346564)*a^(10) + (71962126684727871)/(42851803183346564)*a^(9) - (230259714210812439)/(42851803183346564)*a^(8) + (190276265842620403)/(42851803183346564)*a^(7) - (391655114312527331)/(42851803183346564)*a^(6) - (64860502702184105)/(21425901591673282)*a^(5) + (113324106148039549)/(42851803183346564)*a^(4) - (20778026400096011)/(42851803183346564)*a^(3) + (72812869853721115)/(42851803183346564)*a^(2) - (11189475774035345)/(21425901591673282)*a - (7339444936640691)/(10712950795836641) , (439395560438539005)/(42851803183346564)*a^(23) - (768142146881076057)/(42851803183346564)*a^(22) - (591778583922446861)/(21425901591673282)*a^(21) + (1327175752475637531)/(42851803183346564)*a^(20) - (553753823825460955)/(42851803183346564)*a^(19) - (1787152001960765743)/(42851803183346564)*a^(18) + (17599110708036298563)/(42851803183346564)*a^(17) + (1333921145649892075)/(42851803183346564)*a^(16) - (18167469041108107761)/(42851803183346564)*a^(15) - (11412827458734581563)/(42851803183346564)*a^(14) - (40208554310790115997)/(42851803183346564)*a^(13) + (11513754517100469885)/(21425901591673282)*a^(12) + (8665402346329659122)/(10712950795836641)*a^(11) - (112287738180341943)/(236750293830644)*a^(10) + (3802788370709699617)/(10712950795836641)*a^(9) + (9363803501942884553)/(42851803183346564)*a^(8) + (15367023335690423016)/(10712950795836641)*a^(7) + (94179029937622972369)/(42851803183346564)*a^(6) + (6385409993016870743)/(42851803183346564)*a^(5) - (19113254551471895329)/(21425901591673282)*a^(4) - (27091982607123848921)/(42851803183346564)*a^(3) + (244862090920990322)/(10712950795836641)*a^(2) + (56028087039032631)/(118375146915322)*a + (2350408620289566821)/(10712950795836641) , (266999186334157417)/(85703606366693128)*a^(23) - (42966806481934647)/(7791236942426648)*a^(22) - (88010970734732066)/(10712950795836641)*a^(21) + (810022236855500081)/(85703606366693128)*a^(20) - (356904779145070919)/(85703606366693128)*a^(19) - (1064334641438001993)/(85703606366693128)*a^(18) + (10700835117971258709)/(85703606366693128)*a^(17) + (572814365588283909)/(85703606366693128)*a^(16) - (10864039357059346559)/(85703606366693128)*a^(15) - (6827780329321343961)/(85703606366693128)*a^(14) - (24338898708783611679)/(85703606366693128)*a^(13) + (1801919281782565383)/(10712950795836641)*a^(12) + (10190070561422715211)/(42851803183346564)*a^(11) - (12292738859219864803)/(85703606366693128)*a^(10) + (2357487540976608763)/(21425901591673282)*a^(9) + (5436525998449974143)/(85703606366693128)*a^(8) + (4674609583289263075)/(10712950795836641)*a^(7) + (56387741170215167019)/(85703606366693128)*a^(6) + (3447205144485318647)/(85703606366693128)*a^(5) - (5717148441978562805)/(21425901591673282)*a^(4) - (16100229844450039999)/(85703606366693128)*a^(3) + (169293410465867385)/(21425901591673282)*a^(2) + (1527571908190179316)/(10712950795836641)*a + (698741425637203558)/(10712950795836641) , (96433638439691983)/(10712950795836641)*a^(23) - (166429489487977665)/(10712950795836641)*a^(22) - (530179499056174909)/(21425901591673282)*a^(21) + (578131232768398555)/(21425901591673282)*a^(20) - (112768857171316928)/(10712950795836641)*a^(19) - (801595890952953707)/(21425901591673282)*a^(18) + (7717586043354731645)/(21425901591673282)*a^(17) + (764376575479104715)/(21425901591673282)*a^(16) - (8088656079295355231)/(21425901591673282)*a^(15) - (5128215761100696995)/(21425901591673282)*a^(14) - (17666524341620148211)/(21425901591673282)*a^(13) + (9751589787309654549)/(21425901591673282)*a^(12) + (15709041281676040203)/(21425901591673282)*a^(11) - (4457540722534003132)/(10712950795836641)*a^(10) + (3212677762946130406)/(10712950795836641)*a^(9) + (4408356843413812117)/(21425901591673282)*a^(8) + (13444308022093769309)/(10712950795836641)*a^(7) + (42010511246438105533)/(21425901591673282)*a^(6) + (1602101416497359567)/(10712950795836641)*a^(5) - (17040044283276136937)/(21425901591673282)*a^(4) - (1100138840394507859)/(1947809235606662)*a^(3) + (185395078819954291)/(10712950795836641)*a^(2) + (820633967387521521)/(1947809235606662)*a + (2110867694535940232)/(10712950795836641) , (544144625088136747)/(85703606366693128)*a^(23) - (959238220294246197)/(85703606366693128)*a^(22) - (719402301184906765)/(42851803183346564)*a^(21) + (148189934815905405)/(7791236942426648)*a^(20) - (712550089678641939)/(85703606366693128)*a^(19) - (2157663748749125481)/(85703606366693128)*a^(18) + (21764700361415260773)/(85703606366693128)*a^(17) + (1332489304479182785)/(85703606366693128)*a^(16) - (21991765386963808175)/(85703606366693128)*a^(15) - (14268979557448834225)/(85703606366693128)*a^(14) - (4520272879688294781)/(7791236942426648)*a^(13) + (14566334506046311399)/(42851803183346564)*a^(12) + (20710095019437162755)/(42851803183346564)*a^(11) - (24174132391921375653)/(85703606366693128)*a^(10) + (9367018593332107815)/(42851803183346564)*a^(9) + (10933540975142741149)/(85703606366693128)*a^(8) + (38460670755698449237)/(42851803183346564)*a^(7) + (115027392004625380373)/(85703606366693128)*a^(6) + (8346428374550366091)/(85703606366693128)*a^(5) - (23273120642630653205)/(42851803183346564)*a^(4) - (33508632144804410197)/(85703606366693128)*a^(3) + (691795985043690691)/(42851803183346564)*a^(2) + (6222026856634843437)/(21425901591673282)*a + (1439940475359924515)/(10712950795836641) , (336619136967458533)/(85703606366693128)*a^(23) - (576127815090712647)/(85703606366693128)*a^(22) - (469648666697574869)/(42851803183346564)*a^(21) + (1009852399820736001)/(85703606366693128)*a^(20) - (374219661867240661)/(85703606366693128)*a^(19) - (1426690624858268003)/(85703606366693128)*a^(18) + (13472854892446053567)/(85703606366693128)*a^(17) + (1537656802633153007)/(85703606366693128)*a^(16) - (14335324679775531601)/(85703606366693128)*a^(15) - (8997465251524092527)/(85703606366693128)*a^(14) - (30824576886932487069)/(85703606366693128)*a^(13) + (8299689362659836265)/(42851803183346564)*a^(12) + (14057623203748641155)/(42851803183346564)*a^(11) - (15735670408411162787)/(85703606366693128)*a^(10) + (5492821979154530715)/(42851803183346564)*a^(9) + (8170649022619247859)/(85703606366693128)*a^(8) + (23307270543042837777)/(42851803183346564)*a^(7) + (74033410635748533567)/(85703606366693128)*a^(6) + (5898378044592231317)/(85703606366693128)*a^(5) - (15154257205483033685)/(42851803183346564)*a^(4) - (1935962242865028657)/(7791236942426648)*a^(3) + (268852901013539987)/(42851803183346564)*a^(2) + (179953441425456080)/(973904617803331)*a + (938901234876255401)/(10712950795836641) , (11895862928708151)/(3895618471213324)*a^(23) - (112524340255430023)/(21425901591673282)*a^(22) - (361896463433058759)/(42851803183346564)*a^(21) + (392454812103644339)/(42851803183346564)*a^(20) - (37775869246497903)/(10712950795836641)*a^(19) - (273362766523684711)/(21425901591673282)*a^(18) + (2617891492784091609)/(21425901591673282)*a^(17) + (12528151470605651)/(973904617803331)*a^(16) - (2759756417308852469)/(21425901591673282)*a^(15) - (1739000934287097913)/(21425901591673282)*a^(14) - (6005346984305505193)/(21425901591673282)*a^(13) + (6570200343589138277)/(42851803183346564)*a^(12) + (2683092331210750014)/(10712950795836641)*a^(11) - (6043651235454808841)/(42851803183346564)*a^(10) + (394198033012788157)/(3895618471213324)*a^(9) + (3044266929749533655)/(42851803183346564)*a^(8) + (18214165896883498039)/(42851803183346564)*a^(7) + (2596599633024539035)/(3895618471213324)*a^(6) + (572661163411249061)/(10712950795836641)*a^(5) - (11670660645420550025)/(42851803183346564)*a^(4) - (8205249279955113003)/(42851803183346564)*a^(3) + (197604632721453219)/(42851803183346564)*a^(2) + (3065274352290262139)/(21425901591673282)*a + (724156391091095267)/(10712950795836641) ], 242614.53860678803, [[x^2 - x - 1, 1], [x^2 - x + 4, 1], [x^2 - x + 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^6 - x^5 + 3*x^4 - 6*x^3 + 11*x^2 - 8*x + 4, 1], [x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, 1], [x^12 - 3*x^11 + 6*x^10 - 9*x^9 + 13*x^8 - 27*x^7 + 59*x^6 - 90*x^5 + 94*x^4 - 72*x^3 + 43*x^2 - 18*x + 4, 1]]]