/* 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 - 32*x^14 - 16*x^13 + 340*x^12 + 264*x^11 - 1448*x^10 - 1200*x^9 + 2746*x^8 + 1936*x^7 - 2456*x^6 - 1072*x^5 + 956*x^4 + 80*x^3 - 152*x^2 + 32*x - 2, 16, 333, [16, 0], 81030865406861733858902016, [2, 3, 23], [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, 1/94505624497*a^15 - 2195302511/94505624497*a^14 + 46272346319/94505624497*a^13 - 7385402586/94505624497*a^12 + 33020976187/94505624497*a^11 - 10747952432/94505624497*a^10 - 46455214434/94505624497*a^9 + 19103433847/94505624497*a^8 + 11769730917/94505624497*a^7 + 884492894/94505624497*a^6 + 6262287673/94505624497*a^5 - 33548283249/94505624497*a^4 - 15888546193/94505624497*a^3 - 21475212361/94505624497*a^2 - 155730179/94505624497*a + 334286025/94505624497], 0, 1, [], 1, [ (770338611294)/(94505624497)*a^(15) + (261254875094)/(94505624497)*a^(14) - (24565233294000)/(94505624497)*a^(13) - (20666809958125)/(94505624497)*a^(12) + (255004038828550)/(94505624497)*a^(11) + (290211288981954)/(94505624497)*a^(10) - (1017930619719792)/(94505624497)*a^(9) - (1273421632504169)/(94505624497)*a^(8) + (1685656778004852)/(94505624497)*a^(7) + (2076978243912892)/(94505624497)*a^(6) - (1186993319550916)/(94505624497)*a^(5) - (1246679716551833)/(94505624497)*a^(4) + (310696101454696)/(94505624497)*a^(3) + (175387545400706)/(94505624497)*a^(2) - (56865285187904)/(94505624497)*a + (4112597855779)/(94505624497) , -(365842026544)/(94505624497)*a^(15) - (93305434520)/(94505624497)*a^(14) + (11685048147828)/(94505624497)*a^(13) + (8832459932465)/(94505624497)*a^(12) - (122191292321016)/(94505624497)*a^(11) - (127743486619206)/(94505624497)*a^(10) + (497733263236408)/(94505624497)*a^(9) + (566147082744961)/(94505624497)*a^(8) - (862399549122564)/(94505624497)*a^(7) - (929380185670760)/(94505624497)*a^(6) + (664830561290216)/(94505624497)*a^(5) + (563822144241648)/(94505624497)*a^(4) - (207840665973436)/(94505624497)*a^(3) - (83655261278600)/(94505624497)*a^(2) + (34397702858016)/(94505624497)*a - (2770676906739)/(94505624497) , -(2416122222960)/(94505624497)*a^(15) - (682020502860)/(94505624497)*a^(14) + (77131680745908)/(94505624497)*a^(13) + (60427017754817)/(94505624497)*a^(12) - (804667982591228)/(94505624497)*a^(11) - (865031393930142)/(94505624497)*a^(10) + (3256600929319584)/(94505624497)*a^(9) + (3819709334275244)/(94505624497)*a^(8) - (5563285475238572)/(94505624497)*a^(7) - (6251793804013060)/(94505624497)*a^(6) + (4175044849683664)/(94505624497)*a^(5) + (3769427975115174)/(94505624497)*a^(4) - (1246193174951164)/(94505624497)*a^(3) - (542184724046836)/(94505624497)*a^(2) + (214479923533920)/(94505624497)*a - (17380974740521)/(94505624497) , (2136512616113)/(94505624497)*a^(15) + (643107498697)/(94505624497)*a^(14) - (68174271411253)/(94505624497)*a^(13) - (54713854396256)/(94505624497)*a^(12) + (709943809492245)/(94505624497)*a^(11) + (777972861484255)/(94505624497)*a^(10) - (2859643381302334)/(94505624497)*a^(9) - (3426678178766815)/(94505624497)*a^(8) + (4836926951573196)/(94505624497)*a^(7) + (5598998886530674)/(94505624497)*a^(6) - (3567623973532280)/(94505624497)*a^(5) - (3370946338465648)/(94505624497)*a^(4) + (1036521703058200)/(94505624497)*a^(3) + (481999842268427)/(94505624497)*a^(2) - (182682288143860)/(94505624497)*a + (14711728224147)/(94505624497) , (2604204005162)/(94505624497)*a^(15) + (732481936248)/(94505624497)*a^(14) - (83117974535283)/(94505624497)*a^(13) - (65050585276323)/(94505624497)*a^(12) + (866784714220583)/(94505624497)*a^(11) + (931303124242375)/(94505624497)*a^(10) - (3504966810761008)/(94505624497)*a^(9) - (4109785759477086)/(94505624497)*a^(8) + (5975838043167816)/(94505624497)*a^(7) + (6716211849830695)/(94505624497)*a^(6) - (4464106059801092)/(94505624497)*a^(5) - (4036987249089142)/(94505624497)*a^(4) + (1315192508410390)/(94505624497)*a^(3) + (576760122841001)/(94505624497)*a^(2) - (224794196611986)/(94505624497)*a + (18031501333549)/(94505624497) , -(1732016031363)/(94505624497)*a^(15) - (475158058123)/(94505624497)*a^(14) + (55294086265081)/(94505624497)*a^(13) + (42879504370596)/(94505624497)*a^(12) - (577131062984711)/(94505624497)*a^(11) - (615505059121507)/(94505624497)*a^(10) + (2339446024818950)/(94505624497)*a^(9) + (2719403629007607)/(94505624497)*a^(8) - (4013669722690908)/(94505624497)*a^(7) - (4451400828288542)/(94505624497)*a^(6) + (3045461215271580)/(94505624497)*a^(5) + (2688088766155463)/(94505624497)*a^(4) - (933666267576940)/(94505624497)*a^(3) - (390267558146321)/(94505624497)*a^(2) + (160309211438469)/(94505624497)*a - (13180796026113)/(94505624497) , (2194625875361)/(94505624497)*a^(15) + (676592613920)/(94505624497)*a^(14) - (70014525744201)/(94505624497)*a^(13) - (56689997947122)/(94505624497)*a^(12) + (728541460540973)/(94505624497)*a^(11) + (803635725256626)/(94505624497)*a^(10) - (2928644515262632)/(94505624497)*a^(9) - (3532683942259786)/(94505624497)*a^(8) + (4933571070395280)/(94505624497)*a^(7) + (5757202668678562)/(94505624497)*a^(6) - (3613849612645806)/(94505624497)*a^(5) - (3454936581443819)/(94505624497)*a^(4) + (1033864363198238)/(94505624497)*a^(3) + (493579289316785)/(94505624497)*a^(2) - (180888096193925)/(94505624497)*a + (13910368898381)/(94505624497) , -(5906505467797)/(94505624497)*a^(15) - (1792840374820)/(94505624497)*a^(14) + (188471462337482)/(94505624497)*a^(13) + (151706408552215)/(94505624497)*a^(12) - (1962393043099624)/(94505624497)*a^(11) - (2154927114192590)/(94505624497)*a^(10) + (7900865434941800)/(94505624497)*a^(9) + (9486285781397884)/(94505624497)*a^(8) - (13349294193806366)/(94505624497)*a^(7) - (15488989939892745)/(94505624497)*a^(6) + (9821133372414176)/(94505624497)*a^(5) + (9315012556802766)/(94505624497)*a^(4) - (2830783076080894)/(94505624497)*a^(3) - (1331315104422334)/(94505624497)*a^(2) + (496114585159086)/(94505624497)*a - (39198590421981)/(94505624497) , -(1018071934453)/(94505624497)*a^(15) - (225893900141)/(94505624497)*a^(14) + (32499793607142)/(94505624497)*a^(13) + (23516292797386)/(94505624497)*a^(12) - (340063311709684)/(94505624497)*a^(11) - (344234391526548)/(94505624497)*a^(10) + (1389222089291727)/(94505624497)*a^(9) + (1527199127826915)/(94505624497)*a^(8) - (2424524406844376)/(94505624497)*a^(7) - (2496098552837777)/(94505624497)*a^(6) + (1897887787832305)/(94505624497)*a^(5) + (1499209615786922)/(94505624497)*a^(4) - (610487525010724)/(94505624497)*a^(3) - (215924050535052)/(94505624497)*a^(2) + (100506636775859)/(94505624497)*a - (8776246973779)/(94505624497) , -(613307652362)/(94505624497)*a^(15) - (186794527605)/(94505624497)*a^(14) + (19558362310937)/(94505624497)*a^(13) + (15766877042930)/(94505624497)*a^(12) - (203385792665111)/(94505624497)*a^(11) - (223604023523976)/(94505624497)*a^(10) + (816484662630350)/(94505624497)*a^(9) + (981155222113006)/(94505624497)*a^(8) - (1371419995762603)/(94505624497)*a^(7) - (1591265819631821)/(94505624497)*a^(6) + (997801457027904)/(94505624497)*a^(5) + (944422787257406)/(94505624497)*a^(4) - (279321026168070)/(94505624497)*a^(3) - (130302159953896)/(94505624497)*a^(2) + (48319545965508)/(94505624497)*a - (3833428168125)/(94505624497) , (3140904480274)/(94505624497)*a^(15) + (891260784726)/(94505624497)*a^(14) - (100242665551302)/(94505624497)*a^(13) - (78699542385585)/(94505624497)*a^(12) + (1045152480468544)/(94505624497)*a^(11) + (1125569636252225)/(94505624497)*a^(10) - (4224237494793678)/(94505624497)*a^(9) - (4964508010205000)/(94505624497)*a^(8) + (7198305747728758)/(94505624497)*a^(7) + (8109971493100690)/(94505624497)*a^(6) - (5381665994593953)/(94505624497)*a^(5) - (4877125754677734)/(94505624497)*a^(4) + (1594914255208356)/(94505624497)*a^(3) + (699142460872152)/(94505624497)*a^(2) - (273598674065041)/(94505624497)*a + (22040949018421)/(94505624497) , (15433824179)/(94505624497)*a^(15) - (20821102238)/(94505624497)*a^(14) - (503380251731)/(94505624497)*a^(13) + (399318218365)/(94505624497)*a^(12) + (5895652767127)/(94505624497)*a^(11) - (2251865195841)/(94505624497)*a^(10) - (31057091529070)/(94505624497)*a^(9) + (3296887054949)/(94505624497)*a^(8) + (78766624926249)/(94505624497)*a^(7) + (4917939235580)/(94505624497)*a^(6) - (92573303966500)/(94505624497)*a^(5) - (11909952949435)/(94505624497)*a^(4) + (44485369466300)/(94505624497)*a^(3) + (5503532906488)/(94505624497)*a^(2) - (5940008327786)/(94505624497)*a + (388218145389)/(94505624497) , (640156228443)/(94505624497)*a^(15) + (198159298265)/(94505624497)*a^(14) - (20398980750376)/(94505624497)*a^(13) - (16575324027875)/(94505624497)*a^(12) + (211775143172404)/(94505624497)*a^(11) + (234700171104758)/(94505624497)*a^(10) - (846874859896990)/(94505624497)*a^(9) - (1029339435183335)/(94505624497)*a^(8) + (1410993142508996)/(94505624497)*a^(7) + (1670383499676769)/(94505624497)*a^(6) - (1011301456546476)/(94505624497)*a^(5) - (996721925807738)/(94505624497)*a^(4) + (275009193513134)/(94505624497)*a^(3) + (141701039572956)/(94505624497)*a^(2) - (47312043404038)/(94505624497)*a + (3239117016641)/(94505624497) , (1438726354224)/(94505624497)*a^(15) + (458504439848)/(94505624497)*a^(14) - (45905277463333)/(94505624497)*a^(13) - (37635736203978)/(94505624497)*a^(12) + (477552249152343)/(94505624497)*a^(11) + (531808909917042)/(94505624497)*a^(10) - (1917860501001317)/(94505624497)*a^(9) - (2337003177110448)/(94505624497)*a^(8) + (3224165588336718)/(94505624497)*a^(7) + (3813479964538395)/(94505624497)*a^(6) - (2354194572349564)/(94505624497)*a^(5) - (2296576929931101)/(94505624497)*a^(4) + (671899822823408)/(94505624497)*a^(3) + (331301244436585)/(94505624497)*a^(2) - (118826819569234)/(94505624497)*a + (9159028954731)/(94505624497) , -(2329987138950)/(94505624497)*a^(15) - (724782257314)/(94505624497)*a^(14) + (74350348164534)/(94505624497)*a^(13) + (60390779028594)/(94505624497)*a^(12) - (773923102612232)/(94505624497)*a^(11) - (855601102560116)/(94505624497)*a^(10) + (3113283134877517)/(94505624497)*a^(9) + (3763621132214094)/(94505624497)*a^(8) - (5253346007626944)/(94505624497)*a^(7) - (6145875373497386)/(94505624497)*a^(6) + (3864270724173570)/(94505624497)*a^(5) + (3704367357864689)/(94505624497)*a^(4) - (1119769925273640)/(94505624497)*a^(3) - (535120051373192)/(94505624497)*a^(2) + (197200308295084)/(94505624497)*a - (15440837915279)/(94505624497) ], 97751967.49566491, [[x^2 - 3, 1], [x^2 - 2, 1], [x^2 - 6, 1], [x^4 - 4*x^2 + 1, 1], [x^8 - 24*x^6 + 174*x^4 - 468*x^2 + 414, 1], [x^8 - 12*x^6 + 36*x^4 - 36*x^2 + 9, 1], [x^8 - 16*x^6 + 86*x^4 - 164*x^2 + 46, 1]]]