/* 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^16 - 3*x^15 - 15*x^14 - 9*x^13 + 67*x^12 + 28*x^11 + 318*x^10 - 337*x^9 - 1061*x^8 + 899*x^7 - 457*x^6 + 1394*x^5 - 683*x^4 - 197*x^3 + 80*x^2 - 33*x + 9, 16, 42, [8, 4], 27466182620559501230159449, [13, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 + 1/3*a^7 + 1/3*a^6 + 1/3*a^5 + 1/3*a^4 + 1/3*a^3 + 1/3*a^2 + 1/3*a, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/3*a^12 - 1/3*a^4, 1/3*a^13 - 1/3*a^5, 1/9*a^14 + 1/9*a^13 - 1/9*a^11 - 1/9*a^9 - 1/9*a^8 + 2/9*a^7 - 2/9*a^6 + 4/9*a^5 - 4/9*a^4 + 1/3*a^3 - 4/9*a^2, 1/118131738688663015833*a^15 + 320560233975921007/10739248971696637803*a^14 - 246902092220223059/118131738688663015833*a^13 + 16420885396894651817/118131738688663015833*a^12 - 7332919410773058835/118131738688663015833*a^11 - 2177176467319464439/118131738688663015833*a^10 - 2935329824936204192/118131738688663015833*a^9 + 282178249260440848/1936585880142016653*a^8 - 1372380708769662169/3579749657232212601*a^7 + 31433976851528232671/118131738688663015833*a^6 - 544217705011295522/13125748743184779537*a^5 + 6559957677252674240/118131738688663015833*a^4 + 29717777925557917/207612897519618657*a^3 + 26477870530249402523/118131738688663015833*a^2 + 3205990570719993283/39377246229554338611*a - 1247867359166304716/13125748743184779537], 0, 1, [], 1, [ (284436688273695237)/(4375249581061593179)*a^(15) - (633193320223693822)/(3579749657232212601)*a^(14) - (40250826642745343090)/(39377246229554338611)*a^(13) - (3799843854567090347)/(4375249581061593179)*a^(12) + (159956353931141464481)/(39377246229554338611)*a^(11) + (36482762729017675516)/(13125748743184779537)*a^(10) + (840011734908704390294)/(39377246229554338611)*a^(9) - (10099683446597030191)/(645528626714005551)*a^(8) - (258186401617421710799)/(3579749657232212601)*a^(7) + (1609314488369734136416)/(39377246229554338611)*a^(6) - (779128003879589919548)/(39377246229554338611)*a^(5) + (3131032581568965200387)/(39377246229554338611)*a^(4) - (186709298056359357)/(7689366574800691)*a^(3) - (795472028488986278479)/(39377246229554338611)*a^(2) + (59615398135709885036)/(13125748743184779537)*a + (838020990173288192)/(4375249581061593179) , (2682399691864961498)/(118131738688663015833)*a^(15) - (515957911994836432)/(10739248971696637803)*a^(14) - (44138835101274079390)/(118131738688663015833)*a^(13) - (65586744891684039506)/(118131738688663015833)*a^(12) + (102873616092644581375)/(118131738688663015833)*a^(11) + (141623104214759753527)/(118131738688663015833)*a^(10) + (1032654010370042017307)/(118131738688663015833)*a^(9) + (1181529112646128286)/(1936585880142016653)*a^(8) - (72943141736487083548)/(3579749657232212601)*a^(7) + (239719449121024890784)/(118131738688663015833)*a^(6) - (748954962931347514358)/(39377246229554338611)*a^(5) + (2088025958201901554569)/(118131738688663015833)*a^(4) - (91104822265451107)/(207612897519618657)*a^(3) + (187037228820111465109)/(118131738688663015833)*a^(2) + (189849207390020683952)/(39377246229554338611)*a - (34675698449797090162)/(13125748743184779537) , (559513763732769739)/(118131738688663015833)*a^(15) - (165823300316300198)/(10739248971696637803)*a^(14) - (8934553318436434085)/(118131738688663015833)*a^(13) - (956023671501597190)/(118131738688663015833)*a^(12) + (56549652087951300389)/(118131738688663015833)*a^(11) + (29599926565235481839)/(118131738688663015833)*a^(10) + (119218589842102553962)/(118131738688663015833)*a^(9) - (5170265523197467397)/(1936585880142016653)*a^(8) - (8666491003399792624)/(1193249885744070867)*a^(7) + (620525275686433650557)/(118131738688663015833)*a^(6) + (296097870381423581566)/(39377246229554338611)*a^(5) + (793961264864871322559)/(118131738688663015833)*a^(4) - (2167925046725002937)/(207612897519618657)*a^(3) + (135097971288389421605)/(118131738688663015833)*a^(2) - (34623850672719345533)/(39377246229554338611)*a - (8689759575844354811)/(13125748743184779537) , (1059818509525290122)/(39377246229554338611)*a^(15) - (311681191260160610)/(3579749657232212601)*a^(14) - (1736158750069402345)/(4375249581061593179)*a^(13) - (4896742909446343106)/(39377246229554338611)*a^(12) + (27138696771291434993)/(13125748743184779537)*a^(11) + (26194776609888411700)/(39377246229554338611)*a^(10) + (311634620650824243910)/(39377246229554338611)*a^(9) - (7749743171519949854)/(645528626714005551)*a^(8) - (111896730887470076132)/(3579749657232212601)*a^(7) + (1181129689543372360178)/(39377246229554338611)*a^(6) - (218283298566607027964)/(39377246229554338611)*a^(5) + (189994697216662731685)/(4375249581061593179)*a^(4) - (1381660090970342566)/(69204299173206219)*a^(3) - (52119334739776177663)/(4375249581061593179)*a^(2) - (7842101080210652575)/(13125748743184779537)*a - (5520244229052794748)/(4375249581061593179) , (1134357773385727684)/(39377246229554338611)*a^(15) - (116831413148820767)/(1193249885744070867)*a^(14) - (16416756989502672415)/(39377246229554338611)*a^(13) - (1987535696254431937)/(39377246229554338611)*a^(12) + (93178296224520471841)/(39377246229554338611)*a^(11) + (22695700514416986851)/(39377246229554338611)*a^(10) + (106051469811424964008)/(13125748743184779537)*a^(9) - (3210172858121331475)/(215176208904668517)*a^(8) - (123816578908163217719)/(3579749657232212601)*a^(7) + (473768284566511272754)/(13125748743184779537)*a^(6) - (149241823010214304565)/(39377246229554338611)*a^(5) + (2033407552493028516280)/(39377246229554338611)*a^(4) - (1525244592185785070)/(69204299173206219)*a^(3) - (501771017762422365242)/(39377246229554338611)*a^(2) - (4068419225772213333)/(4375249581061593179)*a - (8698327171407666636)/(4375249581061593179) , (21164790259)/(5663045130237)*a^(15) + (3564137023)/(514822284567)*a^(14) - (566119371278)/(5663045130237)*a^(13) - (1834440313489)/(5663045130237)*a^(12) - (543658015726)/(5663045130237)*a^(11) + (5652136786022)/(5663045130237)*a^(10) + (11577580746034)/(5663045130237)*a^(9) + (30240279273430)/(5663045130237)*a^(8) - (329793847151)/(57202476063)*a^(7) - (80874356709907)/(5663045130237)*a^(6) + (8128484247547)/(1887681710079)*a^(5) - (41658926721961)/(5663045130237)*a^(4) + (87975668049044)/(5663045130237)*a^(3) - (27802968150811)/(5663045130237)*a^(2) + (2651437946587)/(1887681710079)*a + (3514699948)/(629227236693) , (3620955360340748597)/(118131738688663015833)*a^(15) - (860695286989766323)/(10739248971696637803)*a^(14) - (58685598043744412617)/(118131738688663015833)*a^(13) - (52956853621713739619)/(118131738688663015833)*a^(12) + (232907505474854840803)/(118131738688663015833)*a^(11) + (196488519268993831498)/(118131738688663015833)*a^(10) + (1176413458271043289436)/(118131738688663015833)*a^(9) - (12907991451704265892)/(1936585880142016653)*a^(8) - (132535337684767674509)/(3579749657232212601)*a^(7) + (1856341172356575680671)/(118131738688663015833)*a^(6) - (16240743719331208447)/(13125748743184779537)*a^(5) + (4260847072606774601746)/(118131738688663015833)*a^(4) - (919704306565025614)/(207612897519618657)*a^(3) - (1987194984123402695300)/(118131738688663015833)*a^(2) + (31782981331909040258)/(39377246229554338611)*a + (9764081823228749162)/(13125748743184779537) , (386395987415903215)/(39377246229554338611)*a^(15) - (108946554323580242)/(3579749657232212601)*a^(14) - (5658171021332524322)/(39377246229554338611)*a^(13) - (2975418159730149394)/(39377246229554338611)*a^(12) + (25968960010580307722)/(39377246229554338611)*a^(11) + (8508358845680066570)/(39377246229554338611)*a^(10) + (124195328226401868199)/(39377246229554338611)*a^(9) - (2342725523328814097)/(645528626714005551)*a^(8) - (11935083528326290828)/(1193249885744070867)*a^(7) + (371754281628006534974)/(39377246229554338611)*a^(6) - (26753448894462560594)/(4375249581061593179)*a^(5) + (606064169142722247605)/(39377246229554338611)*a^(4) - (517453701503346320)/(69204299173206219)*a^(3) - (47042216246565861523)/(39377246229554338611)*a^(2) - (4922927775700918369)/(13125748743184779537)*a - (78068565991982336)/(4375249581061593179) , (333671198499215990)/(39377246229554338611)*a^(15) - (30491671175194897)/(3579749657232212601)*a^(14) - (6914621703435661129)/(39377246229554338611)*a^(13) - (13074216188292102497)/(39377246229554338611)*a^(12) + (15069628873727742085)/(39377246229554338611)*a^(11) + (49168038668188026079)/(39377246229554338611)*a^(10) + (120242728720224370556)/(39377246229554338611)*a^(9) + (1723657513219372091)/(645528626714005551)*a^(8) - (15546026602498992083)/(1193249885744070867)*a^(7) - (355507540195702583102)/(39377246229554338611)*a^(6) + (51739881976670776021)/(4375249581061593179)*a^(5) - (25016162459415943730)/(39377246229554338611)*a^(4) + (352450306540333049)/(69204299173206219)*a^(3) - (148291658287018825598)/(39377246229554338611)*a^(2) + (2298381544424628050)/(4375249581061593179)*a + (5878351644847592865)/(4375249581061593179) , (1510734703065551978)/(118131738688663015833)*a^(15) - (141918306992745322)/(10739248971696637803)*a^(14) - (28122851322079947016)/(118131738688663015833)*a^(13) - (62986189543350704243)/(118131738688663015833)*a^(12) + (15844803329440995658)/(118131738688663015833)*a^(11) + (114465920194929932221)/(118131738688663015833)*a^(10) + (577492944978021935813)/(118131738688663015833)*a^(9) + (8773038969667859402)/(1936585880142016653)*a^(8) - (39963117764506912301)/(3579749657232212601)*a^(7) - (886705226424694127702)/(118131738688663015833)*a^(6) + (5474340311920590094)/(13125748743184779537)*a^(5) + (772932137109447561421)/(118131738688663015833)*a^(4) + (1568848516448275592)/(207612897519618657)*a^(3) - (393331559703767511809)/(118131738688663015833)*a^(2) - (49383312326057001832)/(39377246229554338611)*a + (1518600366262080683)/(13125748743184779537) , (10358774023393960804)/(118131738688663015833)*a^(15) - (2475827436816548222)/(10739248971696637803)*a^(14) - (166983269786077810931)/(118131738688663015833)*a^(13) - (151068024264370536871)/(118131738688663015833)*a^(12) + (661752103536142566956)/(118131738688663015833)*a^(11) + (554753727915945425882)/(118131738688663015833)*a^(10) + (3403102576073926550887)/(118131738688663015833)*a^(9) - (37640226298942354634)/(1936585880142016653)*a^(8) - (373544790948636762872)/(3579749657232212601)*a^(7) + (5108086092441358966637)/(118131738688663015833)*a^(6) - (365572517949557096551)/(39377246229554338611)*a^(5) + (13025980107127560460880)/(118131738688663015833)*a^(4) - (3197195399388916613)/(207612897519618657)*a^(3) - (4603482531128499590725)/(118131738688663015833)*a^(2) - (127547365993663065326)/(39377246229554338611)*a + (13425439711835622430)/(13125748743184779537) ], 13224148.4074, [[x^2 - x - 3, 1], [x^2 - x - 55, 1], [x^2 - x - 4, 1], [x^4 - x^3 - 11*x^2 + 17*x + 3, 2], [x^4 - 2*x^3 - 18*x^2 + 19*x + 35, 2], [x^4 - 15*x^2 + 1, 1], [x^8 - 2*x^7 - 8*x^6 + 17*x^5 + 41*x^4 - 341*x^3 - 1246*x^2 - 990*x - 225, 1], [x^8 - 3*x^7 - 5*x^6 + 59*x^5 - 63*x^4 - 115*x^3 + 908*x^2 + 354*x - 511, 1], [x^8 - 27*x^6 + 145*x^4 - 243*x^2 + 81, 1]]]