/* 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^27 - 4*x^26 + 28*x^25 - 42*x^24 + 71*x^23 + 267*x^22 - 142*x^21 + 385*x^20 + 2210*x^19 + 2329*x^18 - 3315*x^17 + 15117*x^16 + 19014*x^15 - 23157*x^14 + 44479*x^13 + 77004*x^12 - 41903*x^11 + 19829*x^10 + 208952*x^9 - 35302*x^8 - 53453*x^7 + 258838*x^6 - 35701*x^5 + 60990*x^4 - 5393*x^3 + 76227*x^2 + 19031*x + 2209, 27, 8, [1, 13], -1287062756823986424273208421285283554009333351, [13, 227], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/13*a^12 + 1/13*a^9 - 6/13*a^6 + 5/13*a^3 - 1/13, 1/13*a^13 + 1/13*a^10 - 6/13*a^7 + 5/13*a^4 - 1/13*a, 1/13*a^14 + 1/13*a^11 - 6/13*a^8 + 5/13*a^5 - 1/13*a^2, 1/13*a^15 + 6/13*a^9 - 2/13*a^6 - 6/13*a^3 + 1/13, 1/13*a^16 + 6/13*a^10 - 2/13*a^7 - 6/13*a^4 + 1/13*a, 1/13*a^17 + 6/13*a^11 - 2/13*a^8 - 6/13*a^5 + 1/13*a^2, 1/13*a^18 + 5/13*a^9 + 4/13*a^6 - 3/13*a^3 + 6/13, 1/13*a^19 + 5/13*a^10 + 4/13*a^7 - 3/13*a^4 + 6/13*a, 1/91*a^20 + 2/91*a^19 - 2/91*a^18 - 2/91*a^17 - 1/91*a^16 + 3/91*a^15 - 1/91*a^14 - 2/91*a^13 - 3/91*a^12 + 18/91*a^11 + 41/91*a^10 - 8/91*a^9 - 12/91*a^8 + 5/13*a^7 - 9/91*a^6 + 30/91*a^5 - 10/91*a^4 - 2/13*a^3 + 18/91*a^2 + 2/7*a - 32/91, 1/13013*a^21 - 10/1859*a^20 + 50/13013*a^19 - 194/13013*a^18 + 311/13013*a^17 - 471/13013*a^16 - 61/1859*a^15 - 34/1859*a^14 + 456/13013*a^13 + 17/13013*a^12 - 5833/13013*a^11 + 1975/13013*a^10 - 2502/13013*a^9 + 3321/13013*a^8 + 1006/13013*a^7 + 4150/13013*a^6 + 106/1859*a^5 + 4241/13013*a^4 + 753/13013*a^3 - 6345/13013*a^2 + 267/1859*a + 1751/13013, 1/13013*a^22 + 12/13013*a^20 + 17/13013*a^19 + 30/13013*a^18 - 437/13013*a^17 - 17/1001*a^16 + 474/13013*a^15 - 45/13013*a^14 + 191/13013*a^13 - 30/1859*a^12 - 5506/13013*a^11 - 750/1859*a^10 + 6502/13013*a^9 - 5048/13013*a^8 + 1497/13013*a^7 - 1765/13013*a^6 + 263/1859*a^5 + 1756/13013*a^4 - 62/1183*a^3 + 2592/13013*a^2 - 896/1859*a - 1983/13013, 1/32831187389*a^23 + 38078/2525475953*a^22 + 263255/32831187389*a^21 + 13352125/2525475953*a^20 + 138742609/32831187389*a^19 - 11719439/4690169627*a^18 + 812060659/32831187389*a^17 - 1031178641/32831187389*a^16 - 832232967/32831187389*a^15 + 567648079/32831187389*a^14 - 101919060/32831187389*a^13 - 694048000/32831187389*a^12 + 262516510/2525475953*a^11 + 15794305718/32831187389*a^10 + 14796286543/32831187389*a^9 + 234234939/1931246317*a^8 + 4791672685/32831187389*a^7 + 658026669/2525475953*a^6 - 7454500618/32831187389*a^5 - 799295/25081121*a^4 + 2217150401/4690169627*a^3 - 1261962947/4690169627*a^2 - 972239964/2984653399*a + 4744434294/32831187389, 1/32831187389*a^24 + 690231/32831187389*a^22 + 151654/32831187389*a^21 - 166775/64248899*a^20 + 422606453/32831187389*a^19 - 222635368/32831187389*a^18 - 796535078/32831187389*a^17 + 1086552017/32831187389*a^16 - 389182806/32831187389*a^15 + 375307630/32831187389*a^14 + 123101492/4690169627*a^13 - 1170284438/32831187389*a^12 - 87556412/1727957231*a^11 - 5022633202/32831187389*a^10 + 10797141997/32831187389*a^9 + 317546521/32831187389*a^8 - 4351310079/32831187389*a^7 + 7741336298/32831187389*a^6 + 4320077516/32831187389*a^5 + 1167687818/2984653399*a^4 - 13482856159/32831187389*a^3 - 15554742529/32831187389*a^2 + 3126599635/32831187389*a - 9178792284/32831187389, 1/523033646294159*a^25 + 18/74719092327737*a^24 + 193/523033646294159*a^23 + 16601461330/523033646294159*a^22 + 4244798319/523033646294159*a^21 - 822304632991/523033646294159*a^20 + 7056405286235/523033646294159*a^19 + 13248912255927/523033646294159*a^18 - 2541159895485/523033646294159*a^17 + 6164195203032/523033646294159*a^16 + 16860351078640/523033646294159*a^15 + 1141904505874/47548513299469*a^14 - 16574990243257/523033646294159*a^13 - 1564029979894/74719092327737*a^12 - 1771508114132/27528086647061*a^11 - 23360182650449/523033646294159*a^10 - 1400742565977/4888164918637*a^9 + 103184134443274/523033646294159*a^8 - 542936003431/3932583806723*a^7 - 18384955880722/74719092327737*a^6 + 30208588644495/523033646294159*a^5 + 257883409950519/523033646294159*a^4 - 229668110010253/523033646294159*a^3 + 187960243724587/523033646294159*a^2 - 220610074041613/523033646294159*a + 6090731561546/40233357407243, 1/3379320388706561299*a^26 - 5/10462292225097713*a^25 + 657032/3379320388706561299*a^24 + 34574003/3379320388706561299*a^23 - 74177854409982/3379320388706561299*a^22 + 107367355540727/3379320388706561299*a^21 + 1307487188814/4208369101751633*a^20 - 47236015878639570/3379320388706561299*a^19 + 21210462270947552/3379320388706561299*a^18 - 2077912598311538/177858967826661121*a^17 - 6753238529253737/177858967826661121*a^16 + 10667455458595031/3379320388706561299*a^15 - 8728765614449423/259947722208197023*a^14 + 5837062928583954/307210944427869209*a^13 + 9027276069613541/307210944427869209*a^12 + 64654691866060966/3379320388706561299*a^11 - 751544366123693477/3379320388706561299*a^10 - 54144319316417591/177858967826661121*a^9 + 1195617125811139561/3379320388706561299*a^8 - 921052561218035217/3379320388706561299*a^7 + 52102795801780452/177858967826661121*a^6 + 68594112031913014/3379320388706561299*a^5 - 215770993557652626/3379320388706561299*a^4 + 23209391718075866/307210944427869209*a^3 + 77298324589153181/3379320388706561299*a^2 + 290937407124098386/3379320388706561299*a - 153582814682476854/3379320388706561299], 0, 1, [], 1, [ (987135386502549)/(3379320388706561299)*a^(26) - (4365778007726792)/(3379320388706561299)*a^(25) + (28261740570892779)/(3379320388706561299)*a^(24) - (4534616136625020)/(307210944427869209)*a^(23) + (3329423965359396)/(177858967826661121)*a^(22) + (250917228839609613)/(3379320388706561299)*a^(21) - (2974667412620868)/(37969892007938891)*a^(20) + (135297799602504009)/(3379320388706561299)*a^(19) + (1933187412355770288)/(3379320388706561299)*a^(18) + (78897173687105269)/(177858967826661121)*a^(17) - (5957135751520622904)/(3379320388706561299)*a^(16) + (12471127245178717989)/(3379320388706561299)*a^(15) + (1229656405570934150)/(259947722208197023)*a^(14) - (34218920690337067859)/(3379320388706561299)*a^(13) + (29019886851392457653)/(3379320388706561299)*a^(12) + (67329985004486177427)/(3379320388706561299)*a^(11) - (571309756344362362)/(31582433539313657)*a^(10) - (24215160243631792475)/(3379320388706561299)*a^(9) + (176212848623250567134)/(3379320388706561299)*a^(8) - (53572177881413298425)/(3379320388706561299)*a^(7) - (98651749050286581122)/(3379320388706561299)*a^(6) + (199891679894917579853)/(3379320388706561299)*a^(5) - (66129712113472289759)/(3379320388706561299)*a^(4) + (4454708479239142909)/(307210944427869209)*a^(3) - (41577187092322298587)/(3379320388706561299)*a^(2) + (56373017414680528909)/(3379320388706561299)*a - (539958000065004120)/(3379320388706561299) , (94696815416167)/(3379320388706561299)*a^(26) - (427384275284521)/(3379320388706561299)*a^(25) + (250353328553570)/(307210944427869209)*a^(24) - (4657563487869070)/(3379320388706561299)*a^(23) + (6018431761507145)/(3379320388706561299)*a^(22) + (31381906864193289)/(3379320388706561299)*a^(21) - (21538887129768641)/(3379320388706561299)*a^(20) + (28519164475100197)/(3379320388706561299)*a^(19) + (27688337709270614)/(307210944427869209)*a^(18) + (328797429517515031)/(3379320388706561299)*a^(17) - (353929890644895739)/(3379320388706561299)*a^(16) + (2020761220535711019)/(3379320388706561299)*a^(15) + (278681376729358425)/(259947722208197023)*a^(14) - (1809709375276101532)/(3379320388706561299)*a^(13) + (5407697322444576958)/(3379320388706561299)*a^(12) + (1388019523197195053)/(307210944427869209)*a^(11) + (673165251150250998)/(3379320388706561299)*a^(10) + (893931006600901524)/(3379320388706561299)*a^(9) + (31755662535125766267)/(3379320388706561299)*a^(8) + (12413813939959493564)/(3379320388706561299)*a^(7) - (9241157682039362763)/(3379320388706561299)*a^(6) + (29000501092223579610)/(3379320388706561299)*a^(5) + (1225024691323801995)/(307210944427869209)*a^(4) + (4629370485021343557)/(3379320388706561299)*a^(3) + (3699094250949592373)/(3379320388706561299)*a^(2) + (6367457670898149741)/(3379320388706561299)*a + (4930313398067318537)/(3379320388706561299) , (9078678706421)/(198783552276856547)*a^(26) - (348224073156948)/(3379320388706561299)*a^(25) + (3953721293114077)/(3379320388706561299)*a^(24) - (1356116212023960)/(3379320388706561299)*a^(23) + (16961859515072893)/(3379320388706561299)*a^(22) + (43252852092262244)/(3379320388706561299)*a^(21) + (66597537007604173)/(3379320388706561299)*a^(20) + (216508660081150391)/(3379320388706561299)*a^(19) + (22903204823091737)/(177858967826661121)*a^(18) + (895667635150943588)/(3379320388706561299)*a^(17) + (1244585338064312021)/(3379320388706561299)*a^(16) + (3399278368955569340)/(3379320388706561299)*a^(15) + (17427697356325752)/(15291042482835119)*a^(14) + (4816737153266573603)/(3379320388706561299)*a^(13) + (13986070605405293361)/(3379320388706561299)*a^(12) + (498464635116953665)/(177858967826661121)*a^(11) + (10453708903135273803)/(3379320388706561299)*a^(10) + (1769681670052423471)/(198783552276856547)*a^(9) + (22899302277835700131)/(3379320388706561299)*a^(8) + (781663839016641426)/(3379320388706561299)*a^(7) + (42073639490297313446)/(3379320388706561299)*a^(6) + (164747491127402296)/(16168997075151011)*a^(5) - (26145503283415785820)/(3379320388706561299)*a^(4) + (43443749408330189288)/(3379320388706561299)*a^(3) + (12022336838860141350)/(3379320388706561299)*a^(2) + (203496480532242434)/(307210944427869209)*a + (26726562158290672)/(307210944427869209) , (58603090470754)/(3379320388706561299)*a^(26) - (280645673040025)/(3379320388706561299)*a^(25) + (1705719730083774)/(3379320388706561299)*a^(24) - (3406504453537814)/(3379320388706561299)*a^(23) + (170475784401463)/(177858967826661121)*a^(22) + (13882970873899681)/(3379320388706561299)*a^(21) - (24627009145195529)/(3379320388706561299)*a^(20) - (108220402115015)/(37969892007938891)*a^(19) + (88727597296033868)/(3379320388706561299)*a^(18) + (6693508066911990)/(3379320388706561299)*a^(17) - (596597959238020702)/(3379320388706561299)*a^(16) + (446508102133239292)/(3379320388706561299)*a^(15) + (38687487984701652)/(259947722208197023)*a^(14) - (3420124980344763774)/(3379320388706561299)*a^(13) - (289148187460840530)/(3379320388706561299)*a^(12) + (2304731670486245636)/(3379320388706561299)*a^(11) - (77845555786976819)/(37969892007938891)*a^(10) - (8765699838433827966)/(3379320388706561299)*a^(9) + (4446765989489001548)/(3379320388706561299)*a^(8) - (6226087092060590254)/(3379320388706561299)*a^(7) - (16336917975930142109)/(3379320388706561299)*a^(6) - (3226918877228049083)/(3379320388706561299)*a^(5) - (117612314562230052)/(46292060119267963)*a^(4) + (132906801636704219)/(177858967826661121)*a^(3) - (204948972616389487)/(46292060119267963)*a^(2) - (5211761812518969179)/(3379320388706561299)*a - (126886231454403376)/(198783552276856547) , (1694790120748)/(46292060119267963)*a^(26) - (26115648147623)/(198783552276856547)*a^(25) + (3177877735545888)/(3379320388706561299)*a^(24) - (3604033320913995)/(3379320388706561299)*a^(23) + (4831463474193204)/(3379320388706561299)*a^(22) + (3311155524846602)/(307210944427869209)*a^(21) - (7632819562142326)/(3379320388706561299)*a^(20) + (18606887003651736)/(3379320388706561299)*a^(19) + (255554186830496811)/(3379320388706561299)*a^(18) + (19169297300849798)/(177858967826661121)*a^(17) - (448535214471766889)/(3379320388706561299)*a^(16) + (1303177708079066362)/(3379320388706561299)*a^(15) + (218518627225003750)/(259947722208197023)*a^(14) - (2423658766272770814)/(3379320388706561299)*a^(13) + (2646431956675581559)/(3379320388706561299)*a^(12) + (10351883838292023444)/(3379320388706561299)*a^(11) - (2306530713878394075)/(3379320388706561299)*a^(10) - (2946248809051684837)/(3379320388706561299)*a^(9) + (2156405983530359954)/(307210944427869209)*a^(8) + (2631070397232301680)/(3379320388706561299)*a^(7) - (10987713590441171832)/(3379320388706561299)*a^(6) + (27135161811277973416)/(3379320388706561299)*a^(5) + (141893317190425693)/(3379320388706561299)*a^(4) + (3475527141189189252)/(3379320388706561299)*a^(3) + (1211768002000523150)/(3379320388706561299)*a^(2) + (3909319174125482745)/(3379320388706561299)*a + (71013199931268152)/(307210944427869209) , (612640990063035)/(3379320388706561299)*a^(26) - (28157816286239)/(37969892007938891)*a^(25) + (19987554783574211)/(3379320388706561299)*a^(24) - (33657313932116386)/(3379320388706561299)*a^(23) + (489697085455665)/(16168997075151011)*a^(22) + (1440457666792567)/(31582433539313657)*a^(21) - (4037423274918233)/(198783552276856547)*a^(20) + (1001527302284288484)/(3379320388706561299)*a^(19) + (2059909437620561348)/(3379320388706561299)*a^(18) + (1507690827797512825)/(3379320388706561299)*a^(17) + (1999613383714497212)/(3379320388706561299)*a^(16) + (21445401047925740551)/(3379320388706561299)*a^(15) + (46234083322490318)/(15291042482835119)*a^(14) - (7646344808922262409)/(3379320388706561299)*a^(13) + (90486282094615095308)/(3379320388706561299)*a^(12) + (691375677021198592)/(37969892007938891)*a^(11) - (4204326992885004385)/(307210944427869209)*a^(10) + (8356532770324392553)/(198783552276856547)*a^(9) + (256878877043517666008)/(3379320388706561299)*a^(8) - (9554768571285591053)/(307210944427869209)*a^(7) + (64390602309234869669)/(3379320388706561299)*a^(6) + (390768051482717962168)/(3379320388706561299)*a^(5) - (65082760310060655847)/(3379320388706561299)*a^(4) + (84788296762071139695)/(3379320388706561299)*a^(3) + (36492593799802263538)/(3379320388706561299)*a^(2) + (142107673244266832189)/(3379320388706561299)*a + (15006449045220004006)/(3379320388706561299) , (16467946162112)/(307210944427869209)*a^(26) - 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