/* 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^26 + 49*x^24 + 994*x^22 + 10915*x^20 + 71324*x^18 + 287620*x^16 + 721007*x^14 + 1111118*x^12 + 1019820*x^10 + 521449*x^8 + 129173*x^6 + 10874*x^4 + 236*x^2 + 1, 26, 1, [0, 13], -16195738565069746760238624235485184480969630941184, [2, 53], [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, 1/23*a^16 - 8/23*a^14 - 7/23*a^10 - 1/23*a^8 - 4/23*a^6 + 3/23*a^4 - 8/23*a^2 - 7/23, 1/23*a^17 - 8/23*a^15 - 7/23*a^11 - 1/23*a^9 - 4/23*a^7 + 3/23*a^5 - 8/23*a^3 - 7/23*a, 1/23*a^18 + 5/23*a^14 - 7/23*a^12 - 11/23*a^10 + 11/23*a^8 - 6/23*a^6 - 7/23*a^4 - 2/23*a^2 - 10/23, 1/23*a^19 + 5/23*a^15 - 7/23*a^13 - 11/23*a^11 + 11/23*a^9 - 6/23*a^7 - 7/23*a^5 - 2/23*a^3 - 10/23*a, 1/23*a^20 + 10/23*a^14 - 11/23*a^12 - 1/23*a^8 - 10/23*a^6 + 6/23*a^4 + 7/23*a^2 - 11/23, 1/23*a^21 + 10/23*a^15 - 11/23*a^13 - 1/23*a^9 - 10/23*a^7 + 6/23*a^5 + 7/23*a^3 - 11/23*a, 1/4698049*a^22 + 34636/4698049*a^20 - 91025/4698049*a^18 + 26821/4698049*a^16 + 379524/4698049*a^14 - 255456/4698049*a^12 + 2052906/4698049*a^10 + 76757/4698049*a^8 + 91766/204263*a^6 - 1859271/4698049*a^4 + 1415985/4698049*a^2 + 2119684/4698049, 1/4698049*a^23 + 34636/4698049*a^21 - 91025/4698049*a^19 + 26821/4698049*a^17 + 379524/4698049*a^15 - 255456/4698049*a^13 + 2052906/4698049*a^11 + 76757/4698049*a^9 + 91766/204263*a^7 - 1859271/4698049*a^5 + 1415985/4698049*a^3 + 2119684/4698049*a, 1/1070793422227*a^24 + 13278/1070793422227*a^22 - 14186684266/1070793422227*a^20 - 8086400107/1070793422227*a^18 - 2421860596/1070793422227*a^16 + 358322083704/1070793422227*a^14 - 394474164910/1070793422227*a^12 - 207849877869/1070793422227*a^10 - 85443923132/1070793422227*a^8 + 42726301558/1070793422227*a^6 + 316600844179/1070793422227*a^4 + 428682709255/1070793422227*a^2 - 460404076292/1070793422227, 1/1070793422227*a^25 + 13278/1070793422227*a^23 - 14186684266/1070793422227*a^21 - 8086400107/1070793422227*a^19 - 2421860596/1070793422227*a^17 + 358322083704/1070793422227*a^15 - 394474164910/1070793422227*a^13 - 207849877869/1070793422227*a^11 - 85443923132/1070793422227*a^9 + 42726301558/1070793422227*a^7 + 316600844179/1070793422227*a^5 + 428682709255/1070793422227*a^3 - 460404076292/1070793422227*a], 1, 14209, [14209], 1, [ (11916336544)/(1070793422227)*a^(24) + (595203583296)/(1070793422227)*a^(22) + (115759325386)/(10007415161)*a^(20) + (140708419307086)/(1070793422227)*a^(18) + (961688141105570)/(1070793422227)*a^(16) + (4112593086805894)/(1070793422227)*a^(14) + (11109307341405712)/(1070793422227)*a^(12) + (18738932255328746)/(1070793422227)*a^(10) + (19060977390667445)/(1070793422227)*a^(8) + (10891344281642192)/(1070793422227)*a^(6) + (3020809681066414)/(1070793422227)*a^(4) + (278890006931708)/(1070793422227)*a^(2) + (4273730664724)/(1070793422227) , (7740934726)/(1070793422227)*a^(24) + (384651799232)/(1070793422227)*a^(22) + (7952410552536)/(1070793422227)*a^(20) + (89612241637548)/(1070793422227)*a^(18) + (606629964999181)/(1070793422227)*a^(16) + (2567103441599154)/(1070793422227)*a^(14) + (6866535147102750)/(1070793422227)*a^(12) + (11510984691853026)/(1070793422227)*a^(10) + (11714467774610868)/(1070793422227)*a^(8) + (6723663857428286)/(1070793422227)*a^(6) + (1832279954586646)/(1070793422227)*a^(4) + (138751840293664)/(1070793422227)*a^(2) + (1056472325532)/(1070793422227) , (28795710837)/(1070793422227)*a^(24) + (1397958703327)/(1070793422227)*a^(22) + (27993047778693)/(1070793422227)*a^(20) + (301770501637293)/(1070793422227)*a^(18) + (1919935538078803)/(1070793422227)*a^(16) + (323576111130601)/(46556235749)*a^(14) + (17577992174561690)/(1070793422227)*a^(12) + (24753721503470156)/(1070793422227)*a^(10) + (19838780733211919)/(1070793422227)*a^(8) + (8347752640615235)/(1070793422227)*a^(6) + (1688497689057629)/(1070793422227)*a^(4) + (171852270672327)/(1070793422227)*a^(2) + (3365120643142)/(1070793422227) , (28107656687)/(1070793422227)*a^(24) + (1366209505447)/(1070793422227)*a^(22) + (27407128599683)/(1070793422227)*a^(20) + (12882223769871)/(46556235749)*a^(18) + (82335315077210)/(46556235749)*a^(16) + (7397511517554053)/(1070793422227)*a^(14) + (17711898160383886)/(1070793422227)*a^(12) + (1111569205862508)/(46556235749)*a^(10) + (21428370910055813)/(1070793422227)*a^(8) + (9720163300553166)/(1070793422227)*a^(6) + (2114742289100233)/(1070793422227)*a^(4) + (172241789884268)/(1070793422227)*a^(2) + (2182566987738)/(1070793422227) , (400051796)/(12901125569)*a^(24) + (70344559612)/(46556235749)*a^(22) + (32564503183416)/(1070793422227)*a^(20) + (353618932654976)/(1070793422227)*a^(18) + (2273610970533459)/(1070793422227)*a^(16) + (8950984974318864)/(1070793422227)*a^(14) + (21638067719646009)/(1070793422227)*a^(12) + (31545800647956600)/(1070793422227)*a^(10) + (26582219566402448)/(1070793422227)*a^(8) + (11898041993979477)/(1070793422227)*a^(6) + (2391574289812097)/(1070793422227)*a^(4) + (133203011664781)/(1070793422227)*a^(2) - (1908306340310)/(1070793422227) , (857356692)/(1070793422227)*a^(24) + (56237546751)/(1070793422227)*a^(22) + (1541942002765)/(1070793422227)*a^(20) + (23138868298505)/(1070793422227)*a^(18) + (209166059758757)/(1070793422227)*a^(16) + (1182303551781733)/(1070793422227)*a^(14) + (4202752863326761)/(1070793422227)*a^(12) + (9225741570404792)/(1070793422227)*a^(10) + (11975863820352382)/(1070793422227)*a^(8) + (8427319212997509)/(1070793422227)*a^(6) + (2652762276821714)/(1070793422227)*a^(4) + (214650490866441)/(1070793422227)*a^(2) + (949552587358)/(1070793422227) , (20694233189)/(1070793422227)*a^(24) + (1011293507922)/(1070793422227)*a^(22) + (20439512461071)/(1070793422227)*a^(20) + (9709102784094)/(46556235749)*a^(18) + (62999773244876)/(46556235749)*a^(16) + (5786347654433551)/(1070793422227)*a^(14) + (14311166843252977)/(1070793422227)*a^(12) + (941865028356279)/(46556235749)*a^(10) + (19441425665837600)/(1070793422227)*a^(8) + (9689070426664191)/(1070793422227)*a^(6) + (2344075066246439)/(1070793422227)*a^(4) + (192289249890871)/(1070793422227)*a^(2) + (1296434045035)/(1070793422227) , (400051796)/(12901125569)*a^(24) + (70344559612)/(46556235749)*a^(22) + (32564503183416)/(1070793422227)*a^(20) + (353618932654976)/(1070793422227)*a^(18) + (2273610970533459)/(1070793422227)*a^(16) + (8950984974318864)/(1070793422227)*a^(14) + (21638067719646009)/(1070793422227)*a^(12) + (31545800647956600)/(1070793422227)*a^(10) + (26582219566402448)/(1070793422227)*a^(8) + (11898041993979477)/(1070793422227)*a^(6) + (2391574289812097)/(1070793422227)*a^(4) + (134273805087008)/(1070793422227)*a^(2) + (1304073926371)/(1070793422227) , (1904781418)/(1070793422227)*a^(24) + (89947993380)/(1070793422227)*a^(22) + (1728367796832)/(1070793422227)*a^(20) + (17470409290813)/(1070793422227)*a^(18) + (99808203574835)/(1070793422227)*a^(16) + (316155053456076)/(1070793422227)*a^(14) + (461888963140400)/(1070793422227)*a^(12) - (82484868991007)/(1070793422227)*a^(10) - (1245496446778866)/(1070793422227)*a^(8) - (1652511983107348)/(1070793422227)*a^(6) - (887249027535625)/(1070793422227)*a^(4) - (174276606526896)/(1070793422227)*a^(2) - (11043244491)/(10007415161) , (38057846408)/(1070793422227)*a^(24) + (1874755454206)/(1070793422227)*a^(22) + (38307850694506)/(1070793422227)*a^(20) + (424887561367302)/(1070793422227)*a^(18) + (2815274213994698)/(1070793422227)*a^(16) + (11574464457465334)/(1070793422227)*a^(14) + (29797880622179218)/(1070793422227)*a^(12) + (47572237977310832)/(1070793422227)*a^(10) + (45616953843624984)/(1070793422227)*a^(8) + (24444736960789686)/(1070793422227)*a^(6) + (6215895905823805)/(1070793422227)*a^(4) + (468279065414314)/(1070793422227)*a^(2) + (6315096059896)/(1070793422227) , (38915203100)/(1070793422227)*a^(24) + (1930993000957)/(1070793422227)*a^(22) + (39849792697271)/(1070793422227)*a^(20) + (448026429665807)/(1070793422227)*a^(18) + (3024440273753455)/(1070793422227)*a^(16) + (12756768009247067)/(1070793422227)*a^(14) + (34000633485505979)/(1070793422227)*a^(12) + (56797979547715624)/(1070793422227)*a^(10) + (57592817663977366)/(1070793422227)*a^(8) + (32872056173787195)/(1070793422227)*a^(6) + (8868658182645519)/(1070793422227)*a^(4) + (682929556280755)/(1070793422227)*a^(2) + (6193855225027)/(1070793422227) , (1209688347)/(1070793422227)*a^(24) + (53410129381)/(1070793422227)*a^(22) + (40262390149)/(46556235749)*a^(20) + (7896776632688)/(1070793422227)*a^(18) + (32453999950911)/(1070793422227)*a^(16) + (35407532730054)/(1070793422227)*a^(14) - (176912180891811)/(1070793422227)*a^(12) - (599102072402421)/(1070793422227)*a^(10) - (477581480919951)/(1070793422227)*a^(8) + (346365847967809)/(1070793422227)*a^(6) + (626451454778720)/(1070793422227)*a^(4) + (217477066558669)/(1070793422227)*a^(2) + (1518741153366)/(1070793422227) ], 5382739421.971964, [[x^2 + 1, 1], [x^13 - x^12 - 24*x^11 + 19*x^10 + 190*x^9 - 116*x^8 - 601*x^7 + 246*x^6 + 738*x^5 - 215*x^4 - 291*x^3 + 68*x^2 + 10*x - 1, 1]]]