/* 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 + 73*x^24 + 2180*x^22 + 35829*x^20 + 363625*x^18 + 2405673*x^16 + 10625163*x^14 + 31462021*x^12 + 61715876*x^10 + 77878153*x^8 + 59854953*x^6 + 25249803*x^4 + 4581570*x^2 + 85849, 26, 1, [0, 13], -234331179334410135333725229627752024799305672723267584, [2, 79], [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 + 6/23*a^14 - 2/23*a^12 - 3/23*a^10 + 8/23*a^8 + 10/23*a^6 + 11/23*a^4 - 5/23*a^2 - 10/23, 1/23*a^17 + 6/23*a^15 - 2/23*a^13 - 3/23*a^11 + 8/23*a^9 + 10/23*a^7 + 11/23*a^5 - 5/23*a^3 - 10/23*a, 1/23*a^18 + 8/23*a^14 + 9/23*a^12 + 3/23*a^10 + 8/23*a^8 - 3/23*a^6 - 2/23*a^4 - 3/23*a^2 - 9/23, 1/23*a^19 + 8/23*a^15 + 9/23*a^13 + 3/23*a^11 + 8/23*a^9 - 3/23*a^7 - 2/23*a^5 - 3/23*a^3 - 9/23*a, 1/54487*a^20 + 969/54487*a^18 - 706/54487*a^16 - 15958/54487*a^14 + 1757/54487*a^12 - 17092/54487*a^10 + 17125/54487*a^8 + 23577/54487*a^6 + 26660/54487*a^4 + 18387/54487*a^2 + 24846/54487, 1/54487*a^21 + 969/54487*a^19 - 706/54487*a^17 - 15958/54487*a^15 + 1757/54487*a^13 - 17092/54487*a^11 + 17125/54487*a^9 + 23577/54487*a^7 + 26660/54487*a^5 + 18387/54487*a^3 + 24846/54487*a, 1/1253201*a^22 + 11/1253201*a^20 - 21681/1253201*a^18 + 13653/1253201*a^16 + 578031/1253201*a^14 - 1414/54487*a^12 - 468912/1253201*a^10 + 577498/1253201*a^8 - 582893/1253201*a^6 + 94104/1253201*a^4 + 248670/1253201*a^2 + 434771/1253201, 1/1253201*a^23 + 11/1253201*a^21 - 21681/1253201*a^19 + 13653/1253201*a^17 + 578031/1253201*a^15 - 1414/54487*a^13 - 468912/1253201*a^11 + 577498/1253201*a^9 - 582893/1253201*a^7 + 94104/1253201*a^5 + 248670/1253201*a^3 + 434771/1253201*a, 1/36312097996795594591*a^24 - 3042854934540/36312097996795594591*a^22 + 163102868478168/36312097996795594591*a^20 - 729910204257191736/36312097996795594591*a^18 - 80847591801097298/36312097996795594591*a^16 - 9661084337237949398/36312097996795594591*a^14 - 17285195517999639779/36312097996795594591*a^12 - 1479230434318096355/36312097996795594591*a^10 + 12683277970346318026/36312097996795594591*a^8 - 7448301868357136890/36312097996795594591*a^6 + 10032743142454686592/36312097996795594591*a^4 + 538331259201357278/1578786869425895417*a^2 - 2720085983921497350/36312097996795594591, 1/10639444713061109215163*a^25 - 2321081094405820/10639444713061109215163*a^23 + 65966413391469129/10639444713061109215163*a^21 - 139867634661935348719/10639444713061109215163*a^19 - 96188045872268062084/10639444713061109215163*a^17 - 1616146772196135558938/10639444713061109215163*a^15 - 4424692997232316545979/10639444713061109215163*a^13 - 4685677053184660126906/10639444713061109215163*a^11 - 641821309451440109558/10639444713061109215163*a^9 - 4348651077032782709266/10639444713061109215163*a^7 - 5134304159957988487522/10639444713061109215163*a^5 + 95761049294509888738/462584552741787357181*a^3 + 2233637208239285062162/10639444713061109215163*a], 1, 189047, [189047], 1, [ (6902965450898609)/(36312097996795594591)*a^(24) + (488667058665050728)/(36312097996795594591)*a^(22) + (13985180709083744172)/(36312097996795594591)*a^(20) + (217535098343525970592)/(36312097996795594591)*a^(18) + (2059320003342587649006)/(36312097996795594591)*a^(16) + (12485135544510509036642)/(36312097996795594591)*a^(14) + (49413235355863218257801)/(36312097996795594591)*a^(12) + (127278431921502314214586)/(36312097996795594591)*a^(10) + (208256702092852002884402)/(36312097996795594591)*a^(8) + (205389854177808528362171)/(36312097996795594591)*a^(6) + (109957399703359129992826)/(36312097996795594591)*a^(4) + (1082468155211626313324)/(1578786869425895417)*a^(2) + (452979835531140930875)/(36312097996795594591) , (15890843548408481)/(36312097996795594591)*a^(24) + (1110435955419523519)/(36312097996795594591)*a^(22) + (31223273418563938219)/(36312097996795594591)*a^(20) + (475103074990311187842)/(36312097996795594591)*a^(18) + (4382203168235246450131)/(36312097996795594591)*a^(16) + (25804944512831522245352)/(36312097996795594591)*a^(14) + (99084496416427683065199)/(36312097996795594591)*a^(12) + (248300128151835749463237)/(36312097996795594591)*a^(10) + (398671943514412109745606)/(36312097996795594591)*a^(8) + (391453219788477835422828)/(36312097996795594591)*a^(6) + (212074172011986406047498)/(36312097996795594591)*a^(4) + (2119659887664335729344)/(1578786869425895417)*a^(2) + (834048217578855022965)/(36312097996795594591) , (2468047667642099)/(36312097996795594591)*a^(24) + (163963908012020720)/(36312097996795594591)*a^(22) + (4266623611882237332)/(36312097996795594591)*a^(20) + (57864782885803737136)/(36312097996795594591)*a^(18) + (447902739264204615460)/(36312097996795594591)*a^(16) + (1980462388865672378489)/(36312097996795594591)*a^(14) + (4383436567872758668627)/(36312097996795594591)*a^(12) + (1003819092252885210487)/(36312097996795594591)*a^(10) - (17182030178731681142126)/(36312097996795594591)*a^(8) - (36936316710670115647653)/(36312097996795594591)*a^(6) - (30725690034387560277911)/(36312097996795594591)*a^(4) - (398375120551078611026)/(1578786869425895417)*a^(2) - (175397037787282606225)/(36312097996795594591) , (2746238684962282)/(36312097996795594591)*a^(24) + (190347277493377977)/(36312097996795594591)*a^(22) + (5293198235029306310)/(36312097996795594591)*a^(20) + (79446917275722725576)/(36312097996795594591)*a^(18) + (7001656440087389578)/(352544640745588297)*a^(16) + (4172628345153849609624)/(36312097996795594591)*a^(14) + (15738297820853662057916)/(36312097996795594591)*a^(12) + (38804631118887357165126)/(36312097996795594591)*a^(10) + (61476979844995275652201)/(36312097996795594591)*a^(8) + (59637968903022082312503)/(36312097996795594591)*a^(6) + (31980258350894020842451)/(36312097996795594591)*a^(4) + (325999690297675327019)/(1578786869425895417)*a^(2) + (255166381120144492616)/(36312097996795594591) , (6596228288114684)/(36312097996795594591)*a^(24) + (473413887281369836)/(36312097996795594591)*a^(22) + (13806746590780511654)/(36312097996795594591)*a^(20) + (219979311959480010281)/(36312097996795594591)*a^(18) + (2144904955666773395677)/(36312097996795594591)*a^(16) + (13475187964149468094529)/(36312097996795594591)*a^(14) + (55624630848415549024119)/(36312097996795594591)*a^(12) + (1460679527736229958519)/(352544640745588297)*a^(10) + (260223427243661312886362)/(36312097996795594591)*a^(8) + (272893867197771067468756)/(36312097996795594591)*a^(6) + (155643549122631564504823)/(36312097996795594591)*a^(4) + (1607697160363960742648)/(1578786869425895417)*a^(2) + (813269613090643037263)/(36312097996795594591) , (16904963071265853)/(36312097996795594591)*a^(24) + (1198410411371708629)/(36312097996795594591)*a^(22) + (34378576991008307828)/(36312097996795594591)*a^(20) + (536806586794413497472)/(36312097996795594591)*a^(18) + (5113063632671254737546)/(36312097996795594591)*a^(16) + (31301238726795694822006)/(36312097996795594591)*a^(14) + (125758538256363995023427)/(36312097996795594591)*a^(12) + (331340793269653035284739)/(36312097996795594591)*a^(10) + (560026843918099916813418)/(36312097996795594591)*a^(8) + (576459826723444161003936)/(36312097996795594591)*a^(6) + (323822425345611111906077)/(36312097996795594591)*a^(4) + (3290402758967889210705)/(1578786869425895417)*a^(2) + (1379119136422779766297)/(36312097996795594591) , (21759634154672333)/(36312097996795594591)*a^(24) + (1491648151466509406)/(36312097996795594591)*a^(22) + (40782149591433876873)/(36312097996795594591)*a^(20) + (596981020117322439454)/(36312097996795594591)*a^(18) + (5223553623964981714872)/(36312097996795594591)*a^(16) + (28630272073716035457431)/(36312097996795594591)*a^(14) + (99705142405238007076116)/(36312097996795594591)*a^(12) + (218885439578005191431399)/(36312097996795594591)*a^(10) + (294459628472851416489387)/(36312097996795594591)*a^(8) + (229315536559753331995492)/(36312097996795594591)*a^(6) + (92594029875361209597612)/(36312097996795594591)*a^(4) + (657729916091487865961)/(1578786869425895417)*a^(2) + (205967464305242172168)/(36312097996795594591) , (20471666781080978)/(36312097996795594591)*a^(24) + (1402744312064480259)/(36312097996795594591)*a^(22) + (38330093384562539722)/(36312097996795594591)*a^(20) + (560746677851949149855)/(36312097996795594591)*a^(18) + (4903860435008559613619)/(36312097996795594591)*a^(16) + (26871638551468400536409)/(36312097996795594591)*a^(14) + (93632436190622255181641)/(36312097996795594591)*a^(12) + (206039527324201645742077)/(36312097996795594591)*a^(10) + (278897027887481967860295)/(36312097996795594591)*a^(8) + (220205976375791519147796)/(36312097996795594591)*a^(6) + (91452332183749093287341)/(36312097996795594591)*a^(4) + (687512414007494771064)/(1578786869425895417)*a^(2) + (324018011853773697318)/(36312097996795594591) , (14132520484662451)/(36312097996795594591)*a^(24) + (1009390459866050024)/(36312097996795594591)*a^(22) + (29251475019462262011)/(36312097996795594591)*a^(20) + (462557960335741027270)/(36312097996795594591)*a^(18) + (4472618639956705201777)/(36312097996795594591)*a^(16) + (27856439747093142316965)/(36312097996795594591)*a^(14) + (114054169867122058211021)/(36312097996795594591)*a^(12) + (306470945473719782571560)/(36312097996795594591)*a^(10) + (528129189017156984744893)/(36312097996795594591)*a^(8) + (553971073545538118812356)/(36312097996795594591)*a^(6) + (317655468997373431833408)/(36312097996795594591)*a^(4) + (3325965498247002447511)/(1578786869425895417)*a^(2) + (1449060734563448087987)/(36312097996795594591) , (10760646736258411)/(36312097996795594591)*a^(24) + (764545316878354478)/(36312097996795594591)*a^(22) + (21991890719415700207)/(36312097996795594591)*a^(20) + (344322619407852223422)/(36312097996795594591)*a^(18) + (3286252920856424278565)/(36312097996795594591)*a^(16) + (20122138676618397007051)/(36312097996795594591)*a^(14) + (80576415962707158583261)/(36312097996795594591)*a^(12) + (210319263156565533798051)/(36312097996795594591)*a^(10) + (348998570680686247976883)/(36312097996795594591)*a^(8) + (348758883652643989171680)/(36312097996795594591)*a^(6) + (188423165761129489832212)/(36312097996795594591)*a^(4) + (1850736779330984075371)/(1578786869425895417)*a^(2) + (776617558604872427569)/(36312097996795594591) , (2856467742104672)/(36312097996795594591)*a^(24) + (199485758533631027)/(36312097996795594591)*a^(22) + (5600327346338754359)/(36312097996795594591)*a^(20) + (84914062880752975242)/(36312097996795594591)*a^(18) + (777550601432353679880)/(36312097996795594591)*a^(16) + (4514943373434893624696)/(36312097996795594591)*a^(14) + (16890222605613665961666)/(36312097996795594591)*a^(12) + (40377643801969031592796)/(36312097996795594591)*a^(10) + (59677594964501263720079)/(36312097996795594591)*a^(8) + (50873923952471192044701)/(36312097996795594591)*a^(6) + (21753040488268563123161)/(36312097996795594591)*a^(4) + (142942418237260348701)/(1578786869425895417)*a^(2) - (134439690551998717479)/(36312097996795594591) , (4509959626595956)/(36312097996795594591)*a^(24) + (311138164476948381)/(36312097996795594591)*a^(22) + (8587390436486179597)/(36312097996795594591)*a^(20) + (127393231573357341300)/(36312097996795594591)*a^(18) + (1135813204929423328724)/(36312097996795594591)*a^(16) + (6394469402965663515435)/(36312097996795594591)*a^(14) + (23155264859433640451810)/(36312097996795594591)*a^(12) + (53871306893809880627053)/(36312097996795594591)*a^(10) + (79122689255489594297499)/(36312097996795594591)*a^(8) + (70529827916593685088703)/(36312097996795594591)*a^(6) + (35210171449896901046159)/(36312097996795594591)*a^(4) + (357777308235365839516)/(1578786869425895417)*a^(2) + (532920710914155885751)/(36312097996795594591) ], 57529828940.82975, [[x^2 + 1, 1], [x^13 - x^12 - 36*x^11 + 77*x^10 + 365*x^9 - 1193*x^8 - 617*x^7 + 5541*x^6 - 4414*x^5 - 4575*x^4 + 6321*x^3 + 411*x^2 - 2196*x + 293, 1]]]