/* 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 - x^23 + 8*x^22 + 6*x^21 - 17*x^20 - 5*x^19 + 32*x^18 - 13*x^17 - 36*x^16 + 22*x^15 + 58*x^14 - 6*x^13 - 71*x^12 + 35*x^10 - 24*x^9 - 66*x^8 + 28*x^7 + 63*x^6 + 92*x^5 - 82*x^4 - 3*x^3 + 25*x^2 + 16*x - 1, 25, 4, [1, 12], 2133643557240451317422184503752801, [599], [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, 1/29*a^21 - 9/29*a^20 + 4/29*a^19 + 12/29*a^18 + 7/29*a^17 + 11/29*a^16 - 4/29*a^15 + 4/29*a^14 - 7/29*a^13 - 14/29*a^12 + 3/29*a^11 + 9/29*a^9 - 11/29*a^8 + 7/29*a^7 + 13/29*a^6 - 10/29*a^5 + 11/29*a^4 - 9/29*a^3 - 14/29*a^2 + 2/29*a + 7/29, 1/319*a^22 + 4/319*a^21 - 84/319*a^20 + 6/319*a^19 - 98/319*a^18 - 101/319*a^17 + 10/29*a^16 + 10/319*a^15 - 42/319*a^14 + 127/319*a^13 - 63/319*a^12 - 48/319*a^11 + 125/319*a^10 + 135/319*a^9 - 49/319*a^8 + 104/319*a^7 + 130/319*a^6 - 148/319*a^5 - 1/29*a^4 + 14/319*a^3 - 151/319*a^2 + 3/29*a - 141/319, 1/652993*a^23 + 9/59363*a^22 + 483/28391*a^21 + 28370/652993*a^20 + 35111/652993*a^19 + 190525/652993*a^18 - 8550/28391*a^17 + 24133/652993*a^16 + 187974/652993*a^15 - 70028/652993*a^14 + 1706/652993*a^13 + 56953/652993*a^12 - 227196/652993*a^11 - 30736/652993*a^10 - 270474/652993*a^9 + 302690/652993*a^8 + 2107/59363*a^7 + 250066/652993*a^6 + 10734/28391*a^5 - 119743/652993*a^4 - 34890/652993*a^3 - 218010/652993*a^2 - 84159/652993*a + 302184/652993, 1/41149686193745383793*a^24 - 549603224727/5878526599106483399*a^23 + 4425522233192850/41149686193745383793*a^22 - 692045513973704185/41149686193745383793*a^21 + 16504015697361346683/41149686193745383793*a^20 - 147238717079326550/462356024648824537*a^19 + 4475479247711628259/41149686193745383793*a^18 - 1847885909167483728/5878526599106483399*a^17 - 242156139214007128/3740880563067762163*a^16 + 1503138932627339372/41149686193745383793*a^15 + 8779820669501186952/41149686193745383793*a^14 + 18371859235671824394/41149686193745383793*a^13 + 10761005510957681395/41149686193745383793*a^12 - 5903764714366590829/41149686193745383793*a^11 - 1069324996510313362/3740880563067762163*a^10 + 7512852319340889793/41149686193745383793*a^9 + 19810768602948602918/41149686193745383793*a^8 - 6851766220208549499/41149686193745383793*a^7 - 10000792882886463607/41149686193745383793*a^6 + 16687387147620332623/41149686193745383793*a^5 - 17613115956058858380/41149686193745383793*a^4 + 220162729765273469/1418954696336047717*a^3 - 408297830993109944/41149686193745383793*a^2 + 16805752258218084792/41149686193745383793*a - 12590489922324248259/41149686193745383793], 0, 1, [], 1, [ (628499343051206779)/(41149686193745383793)*a^(24) - (154316022044720)/(66050860664117791)*a^(23) - (3369501034318096767)/(41149686193745383793)*a^(22) + (4833071327813453503)/(41149686193745383793)*a^(21) + (1212377228599148554)/(3740880563067762163)*a^(20) - (7208743464667949704)/(41149686193745383793)*a^(19) - (24690188584380928787)/(41149686193745383793)*a^(18) + (290142030325155738)/(534411509009680309)*a^(17) + (2801872790140988280)/(3740880563067762163)*a^(16) - (50419320278320932080)/(41149686193745383793)*a^(15) - (19779627152924121874)/(41149686193745383793)*a^(14) + (70662083740691426667)/(41149686193745383793)*a^(13) + (4190357955260985825)/(3740880563067762163)*a^(12) - (70534864886831939807)/(41149686193745383793)*a^(11) - (68891548166271250055)/(41149686193745383793)*a^(10) + (45995398622083764933)/(41149686193745383793)*a^(9) + (14685237333900993597)/(41149686193745383793)*a^(8) - (70440986984536880546)/(41149686193745383793)*a^(7) - (57601536103713227707)/(41149686193745383793)*a^(6) + (6108431793009652300)/(3740880563067762163)*a^(5) + (93783823118444511881)/(41149686193745383793)*a^(4) + (18343996358566463741)/(41149686193745383793)*a^(3) - (123250930364627398939)/(41149686193745383793)*a^(2) + (67648801474075748204)/(41149686193745383793)*a + (27206219021760760071)/(41149686193745383793) , (58919539051748044)/(1327409232056302703)*a^(24) - (23883092873760539)/(189629890293757529)*a^(23) + (5600265782702350)/(120673566550572973)*a^(22) + (459578980489704385)/(1327409232056302703)*a^(21) - (31271312267238086)/(1327409232056302703)*a^(20) - (1103849608618177557)/(1327409232056302703)*a^(19) + (49238561275468916)/(120673566550572973)*a^(18) + (234950328752314169)/(189629890293757529)*a^(17) - (2202580225098909259)/(1327409232056302703)*a^(16) - (694097775657013338)/(1327409232056302703)*a^(15) + (202368891081361013)/(120673566550572973)*a^(14) + (1749264826291938002)/(1327409232056302703)*a^(13) - (2021330145631036778)/(1327409232056302703)*a^(12) - (2966364590349445001)/(1327409232056302703)*a^(11) + (2192168426964735290)/(1327409232056302703)*a^(10) + (17101645516374498)/(45772732139872507)*a^(9) - (1726415073959704188)/(1327409232056302703)*a^(8) - (2231468270919054043)/(1327409232056302703)*a^(7) + (3884053514418359243)/(1327409232056302703)*a^(6) + (1868231530257946265)/(1327409232056302703)*a^(5) + (4412426417088286222)/(1327409232056302703)*a^(4) - (7578138368412504282)/(1327409232056302703)*a^(3) + (4006910547175840944)/(1327409232056302703)*a^(2) - (1194547701339042969)/(1327409232056302703)*a + (982166696265465633)/(1327409232056302703) , (38749884585443720)/(1789116791032407991)*a^(24) - (136149055542045395)/(5878526599106483399)*a^(23) - (2577841113615417124)/(41149686193745383793)*a^(22) + (289552876066723350)/(1789116791032407991)*a^(21) + (11183965289095793197)/(41149686193745383793)*a^(20) - (10597636387741767586)/(41149686193745383793)*a^(19) - (1398163204816765138)/(3740880563067762163)*a^(18) + (155932077234540392)/(255588113004629713)*a^(17) + (5760572167505768346)/(41149686193745383793)*a^(16) - (42894194216099213660)/(41149686193745383793)*a^(15) + (5916572453830739705)/(41149686193745383793)*a^(14) + (2059079905761846155)/(1418954696336047717)*a^(13) + (23147604284739477792)/(41149686193745383793)*a^(12) - (54145033863253063239)/(41149686193745383793)*a^(11) - (41789545974679891258)/(41149686193745383793)*a^(10) + (21792492772222256015)/(41149686193745383793)*a^(9) - (1204256297829224357)/(3740880563067762163)*a^(8) - (2859704968798043339)/(1418954696336047717)*a^(7) - (14387754031929018575)/(41149686193745383793)*a^(6) + (3719993829228599312)/(1789116791032407991)*a^(5) + (92806228388759617639)/(41149686193745383793)*a^(4) + (9578504499297293680)/(41149686193745383793)*a^(3) - (14607921251805890717)/(41149686193745383793)*a^(2) + (60577164020065750784)/(41149686193745383793)*a + (30713707427210983661)/(41149686193745383793) , (274436656489681205)/(3740880563067762163)*a^(24) - (726044382901441930)/(5878526599106483399)*a^(23) - (5778341641357981928)/(41149686193745383793)*a^(22) + (845992353239304081)/(1418954696336047717)*a^(21) + (27036032235426701533)/(41149686193745383793)*a^(20) - (51564661906534033203)/(41149686193745383793)*a^(19) - (38427156999462852427)/(41149686193745383793)*a^(18) + (14457188814953384174)/(5878526599106483399)*a^(17) - (1375814296053226882)/(41149686193745383793)*a^(16) - (139796387321070769582)/(41149686193745383793)*a^(15) + (37706572245136207003)/(41149686193745383793)*a^(14) + (19762040813811687778)/(3740880563067762163)*a^(13) + (2295429894498996499)/(3740880563067762163)*a^(12) - (258481691330852834644)/(41149686193745383793)*a^(11) - (82574255763549342391)/(41149686193745383793)*a^(10) + (144059224236150496608)/(41149686193745383793)*a^(9) - (27226904548989695604)/(41149686193745383793)*a^(8) - (221072488145398942156)/(41149686193745383793)*a^(7) + (46259701612280417963)/(41149686193745383793)*a^(6) + (248333357469849891089)/(41149686193745383793)*a^(5) + (325820607790278527670)/(41149686193745383793)*a^(4) - (186668728791288011325)/(41149686193745383793)*a^(3) - (159704719894929956360)/(41149686193745383793)*a^(2) + (101945197855051046420)/(41149686193745383793)*a + (1494952728076083063)/(1418954696336047717) , (98060343123278516)/(3740880563067762163)*a^(24) - (30034779256466184)/(534411509009680309)*a^(23) - (965859120013880747)/(41149686193745383793)*a^(22) + (9006892942829953818)/(41149686193745383793)*a^(21) + (5268858500387387684)/(41149686193745383793)*a^(20) - (19686274913370397984)/(41149686193745383793)*a^(19) - (4996766075838555145)/(41149686193745383793)*a^(18) + (4957248146083045216)/(5878526599106483399)*a^(17) - (1741334790145343063)/(3740880563067762163)*a^(16) - (36370855416098278960)/(41149686193745383793)*a^(15) + (31898334508579887864)/(41149686193745383793)*a^(14) + (63220764988299802804)/(41149686193745383793)*a^(13) - (13726131122223430500)/(41149686193745383793)*a^(12) - (89199788943709860865)/(41149686193745383793)*a^(11) + (2788371630995941373)/(41149686193745383793)*a^(10) + (37868901851550134270)/(41149686193745383793)*a^(9) - (26201023964763531337)/(41149686193745383793)*a^(8) - (49048919941861865616)/(41149686193745383793)*a^(7) + (63549620628648049204)/(41149686193745383793)*a^(6) + (86714553414727695872)/(41149686193745383793)*a^(5) + (8339820743549820898)/(3740880563067762163)*a^(4) - (4227894666331499384)/(1418954696336047717)*a^(3) - (32227394488943133619)/(41149686193745383793)*a^(2) + (165424460558587301)/(3740880563067762163)*a + (20027206227692232480)/(41149686193745383793) , (2404945419833269706)/(41149686193745383793)*a^(24) - (29606928774128388)/(202707813762292531)*a^(23) + (44895420723598976)/(41149686193745383793)*a^(22) + (19874701222451400954)/(41149686193745383793)*a^(21) + (5579439267449309623)/(41149686193745383793)*a^(20) - (46456525113092521723)/(41149686193745383793)*a^(19) + (4852555512919548110)/(41149686193745383793)*a^(18) + (10880971140399268030)/(5878526599106483399)*a^(17) - (60810801604722808498)/(41149686193745383793)*a^(16) - (53862395529091956512)/(41149686193745383793)*a^(15) + (80276431683274883668)/(41149686193745383793)*a^(14) + (89808826932585238444)/(41149686193745383793)*a^(13) - (70562644874674812367)/(41149686193745383793)*a^(12) - (137995510564862156201)/(41149686193745383793)*a^(11) + (59983901103353967911)/(41149686193745383793)*a^(10) + (48057044705484374251)/(41149686193745383793)*a^(9) - (62272458491856013273)/(41149686193745383793)*a^(8) - (2840404238641848500)/(1418954696336047717)*a^(7) + (130358800956910642965)/(41149686193745383793)*a^(6) + (50883949815906048216)/(41149686193745383793)*a^(5) + (130642025932199302313)/(41149686193745383793)*a^(4) - (285713397618175898631)/(41149686193745383793)*a^(3) + (106500026003539332537)/(41149686193745383793)*a^(2) + (40545199857536142343)/(41149686193745383793)*a + (23498320141677555731)/(41149686193745383793) , (179465879932171333)/(5878526599106483399)*a^(24) - (55051715174424378)/(839789514158069057)*a^(23) - (169255635124655510)/(5878526599106483399)*a^(22) + (1544130439633742124)/(5878526599106483399)*a^(21) + (81879962314912374)/(534411509009680309)*a^(20) - (3503096045577404025)/(5878526599106483399)*a^(19) - (734270050613739165)/(5878526599106483399)*a^(18) + (915657489491041909)/(839789514158069057)*a^(17) - (2766894108069017881)/(5878526599106483399)*a^(16) - (7058982544876539980)/(5878526599106483399)*a^(15) + (4830736326979237687)/(5878526599106483399)*a^(14) + (11086805326332824050)/(5878526599106483399)*a^(13) - (1341532778949122083)/(5878526599106483399)*a^(12) - (14830453895356250544)/(5878526599106483399)*a^(11) - (145086179542973239)/(534411509009680309)*a^(10) + (9352479709961378861)/(5878526599106483399)*a^(9) - (3002986555700757478)/(5878526599106483399)*a^(8) - (13991121302664234592)/(5878526599106483399)*a^(7) + (6302012430477585816)/(5878526599106483399)*a^(6) + (14576524116168537189)/(5878526599106483399)*a^(5) + (17107364920491740371)/(5878526599106483399)*a^(4) - (20048632559700936370)/(5878526599106483399)*a^(3) - (7413426583829804845)/(5878526599106483399)*a^(2) + (4598252940446145649)/(5878526599106483399)*a + (238321947792089515)/(534411509009680309) , (2596308788930578075)/(41149686193745383793)*a^(24) - (628950958810241454)/(5878526599106483399)*a^(23) - (4481646997114468220)/(41149686193745383793)*a^(22) + (1870061823713524223)/(3740880563067762163)*a^(21) + (21874626917350570617)/(41149686193745383793)*a^(20) - (3702707489865501812)/(3740880563067762163)*a^(19) - (28790134234876205073)/(41149686193745383793)*a^(18) + (11593175246680655913)/(5878526599106483399)*a^(17) - (204891803464579815)/(1418954696336047717)*a^(16) - (106577448070380719274)/(41149686193745383793)*a^(15) + (2647029318491190454)/(3740880563067762163)*a^(14) + (171252664772659959276)/(41149686193745383793)*a^(13) + (36074846939267685680)/(41149686193745383793)*a^(12) - (210430542165374405505)/(41149686193745383793)*a^(11) - (5606392852827495334)/(3740880563067762163)*a^(10) + (116203386125790304617)/(41149686193745383793)*a^(9) - (3971119300465157972)/(3740880563067762163)*a^(8) - (192307907360311257287)/(41149686193745383793)*a^(7) + (42493449042507642460)/(41149686193745383793)*a^(6) + (194442486646570065276)/(41149686193745383793)*a^(5) + (266243492780091894271)/(41149686193745383793)*a^(4) - (147911074556369446606)/(41149686193745383793)*a^(3) - (102726804649231081500)/(41149686193745383793)*a^(2) + (9438116231026244329)/(3740880563067762163)*a + (34911696742296629810)/(41149686193745383793) , (1356175990375774474)/(41149686193745383793)*a^(24) - (43409370906272081)/(534411509009680309)*a^(23) - (619079138828420267)/(41149686193745383793)*a^(22) + (12606719965625524490)/(41149686193745383793)*a^(21) + (3378060245574006778)/(41149686193745383793)*a^(20) - (30717988027612766049)/(41149686193745383793)*a^(19) + (1288668614295041797)/(41149686193745383793)*a^(18) + (267984718570619125)/(202707813762292531)*a^(17) - (34856167905332375297)/(41149686193745383793)*a^(16) - (2332657728265100430)/(1789116791032407991)*a^(15) + (2572202157925304904)/(1789116791032407991)*a^(14) + (73650401851523791823)/(41149686193745383793)*a^(13) - (49847416402985125262)/(41149686193745383793)*a^(12) - (112783556299747635520)/(41149686193745383793)*a^(11) + (42896838249265401469)/(41149686193745383793)*a^(10) + (3099557559740536648)/(1789116791032407991)*a^(9) - (53883758600386314277)/(41149686193745383793)*a^(8) - (5928903073617543452)/(3740880563067762163)*a^(7) + (2664325765330438210)/(1418954696336047717)*a^(6) + (67126516057558653033)/(41149686193745383793)*a^(5) + (76846768027420654768)/(41149686193745383793)*a^(4) - (163882389263862742113)/(41149686193745383793)*a^(3) - (19639056225164918772)/(41149686193745383793)*a^(2) + (63610926751337120544)/(41149686193745383793)*a - (17747911689493564486)/(41149686193745383793) , (678022087642611087)/(41149686193745383793)*a^(24) - (289323505745844457)/(5878526599106483399)*a^(23) + (661854273522371197)/(41149686193745383793)*a^(22) + (6437819885375417401)/(41149686193745383793)*a^(21) - (2172874439864980468)/(41149686193745383793)*a^(20) - (543086946774977482)/(1418954696336047717)*a^(19) + (390166545087222754)/(1418954696336047717)*a^(18) + (340542437544067621)/(534411509009680309)*a^(17) - (1355436426206269017)/(1418954696336047717)*a^(16) - (16661326626256120055)/(41149686193745383793)*a^(15) + (53984679146674358307)/(41149686193745383793)*a^(14) + (18646929467213271810)/(41149686193745383793)*a^(13) - (58851101409737695897)/(41149686193745383793)*a^(12) - (29678242532148289985)/(41149686193745383793)*a^(11) + (67739741946143189189)/(41149686193745383793)*a^(10) + (9926827323912631624)/(41149686193745383793)*a^(9) - (6855452735456755921)/(3740880563067762163)*a^(8) - (17805413705069162202)/(41149686193745383793)*a^(7) + (88226772593357303139)/(41149686193745383793)*a^(6) + (2733531291111448070)/(3740880563067762163)*a^(5) + (2186378395879989356)/(41149686193745383793)*a^(4) - (85217809306850617647)/(41149686193745383793)*a^(3) + (67428424956535091109)/(41149686193745383793)*a^(2) + (29730983600384468967)/(41149686193745383793)*a - (51702015418786597075)/(41149686193745383793) , (3456597224092305)/(839789514158069057)*a^(24) - (12695638259836838)/(839789514158069057)*a^(23) + (11734020825954228)/(839789514158069057)*a^(22) + (31918005199680145)/(839789514158069057)*a^(21) - (22557171714117802)/(839789514158069057)*a^(20) - (104291747387314209)/(839789514158069057)*a^(19) + (116087742247359350)/(839789514158069057)*a^(18) + (265683892273165066)/(839789514158069057)*a^(17) - (190160130179303255)/(839789514158069057)*a^(16) - (311392737068554182)/(839789514158069057)*a^(15) + (130292662835999767)/(839789514158069057)*a^(14) + (489250206646712415)/(839789514158069057)*a^(13) - (305669149661869879)/(839789514158069057)*a^(12) - (514394863202931225)/(839789514158069057)*a^(11) + (61905795365766545)/(76344501287097187)*a^(10) + (633847262715085171)/(839789514158069057)*a^(9) - (16378874902213400)/(28958259108898933)*a^(8) - (1220712881750791257)/(839789514158069057)*a^(7) + (1390391771348717)/(28958259108898933)*a^(6) + (183557975081965042)/(839789514158069057)*a^(5) + (12760931985077337)/(28958259108898933)*a^(4) - (611893281834344484)/(839789514158069057)*a^(3) + (430271739406765979)/(839789514158069057)*a^(2) - (442013131708590241)/(839789514158069057)*a + (659169561616691473)/(839789514158069057) , (27459135398536556)/(120673566550572973)*a^(24) - (81173820970696953)/(189629890293757529)*a^(23) - (349070703818049511)/(1327409232056302703)*a^(22) + (2348538977008253669)/(1327409232056302703)*a^(21) + (2040327937760605516)/(1327409232056302703)*a^(20) - (432233556462024592)/(120673566550572973)*a^(19) - (1815554374007998303)/(1327409232056302703)*a^(18) + (1315548341700382466)/(189629890293757529)*a^(17) - (3288131095314771282)/(1327409232056302703)*a^(16) - (121509383985993159)/(14914710472542727)*a^(15) + (5699443030026523755)/(1327409232056302703)*a^(14) + (196039863396066744)/(14914710472542727)*a^(13) - (15172830381126028)/(1327409232056302703)*a^(12) - (693970284673037772)/(45772732139872507)*a^(11) - (1572735109753885135)/(1327409232056302703)*a^(10) + (807650655335029246)/(120673566550572973)*a^(9) - (7334698259216852614)/(1327409232056302703)*a^(8) - (20759973955692928687)/(1327409232056302703)*a^(7) + (6329847485218551575)/(1327409232056302703)*a^(6) + (19021395524924330456)/(1327409232056302703)*a^(5) + (29842354212960732535)/(1327409232056302703)*a^(4) - (19839391955681717038)/(1327409232056302703)*a^(3) - (1082337539211584851)/(1327409232056302703)*a^(2) + (7039900669656229946)/(1327409232056302703)*a + (174622592129539031)/(45772732139872507) ], 3027380.0731932656, [[x^5 - x^4 + 3*x^3 - 9*x^2 + 6*x - 5, 1]]]