/* 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 - x^15 + 35*x^14 - 52*x^13 + 426*x^12 - 834*x^11 + 2908*x^10 - 5441*x^9 + 12734*x^8 - 20894*x^7 + 36823*x^6 - 49114*x^5 + 65638*x^4 - 66318*x^3 + 63428*x^2 - 39339*x + 19211, 16, 22, [0, 8], 22585894701900222828166433, [17, 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, 1/16013*a^14 - 2829/16013*a^13 - 970/16013*a^12 + 4752/16013*a^11 - 1829/16013*a^10 + 6191/16013*a^9 + 3715/16013*a^8 - 3625/16013*a^7 + 3919/16013*a^6 - 1729/16013*a^5 - 5464/16013*a^4 + 1202/16013*a^3 + 6129/16013*a^2 - 199/16013*a - 5898/16013, 1/690566194599920398863276991*a^15 + 14428737279049097286310/690566194599920398863276991*a^14 - 2033326798308122436183773/10306958128357020878556373*a^13 - 36113245427720514890159247/690566194599920398863276991*a^12 + 110332151766398763375216972/690566194599920398863276991*a^11 + 102236046910001773818919986/690566194599920398863276991*a^10 - 41483784668995925869731019/690566194599920398863276991*a^9 - 250213828182844428450639574/690566194599920398863276991*a^8 + 233398456884159139127045696/690566194599920398863276991*a^7 - 888340964055777080246548/2889398303765357317419569*a^6 + 118208132180122613468225145/690566194599920398863276991*a^5 - 57431778574801815406655822/690566194599920398863276991*a^4 + 156953381015147112874735861/690566194599920398863276991*a^3 + 42087680167378838161571195/690566194599920398863276991*a^2 - 329097055046218809165784404/690566194599920398863276991*a - 317678849449758609706028972/690566194599920398863276991], 1, 162, [9, 18], 1, [ (138084585744102164437018)/(690566194599920398863276991)*a^(15) + (41270549507996252736685)/(690566194599920398863276991)*a^(14) + (70149011865555128339402)/(10306958128357020878556373)*a^(13) - (543739450669939987886328)/(690566194599920398863276991)*a^(12) + (51487125581616272623173997)/(690566194599920398863276991)*a^(11) - (27809804527135726345070780)/(690566194599920398863276991)*a^(10) + (277125699843400875835712966)/(690566194599920398863276991)*a^(9) - (575729784372562518987365)/(2889398303765357317419569)*a^(8) + (888319283403284144028228819)/(690566194599920398863276991)*a^(7) - (322796870045595184026349137)/(690566194599920398863276991)*a^(6) + (1690547189694275797937568331)/(690566194599920398863276991)*a^(5) + (7209311174224235311455234)/(690566194599920398863276991)*a^(4) + (1211523834773342440745149321)/(690566194599920398863276991)*a^(3) + (1360563693638003777382491065)/(690566194599920398863276991)*a^(2) - (132560692004691717371810194)/(690566194599920398863276991)*a + (2282019818671269503443733484)/(690566194599920398863276991) , (280244667025808282056335)/(690566194599920398863276991)*a^(15) - (427650706722163585085207)/(690566194599920398863276991)*a^(14) + (8954845349127071119703330)/(690566194599920398863276991)*a^(13) - (19614313985003859816898984)/(690566194599920398863276991)*a^(12) + (92801232244437956732431060)/(690566194599920398863276991)*a^(11) - (275440016474322043971622903)/(690566194599920398863276991)*a^(10) + (555853686301725810891994665)/(690566194599920398863276991)*a^(9) - (1492753593787340035005221759)/(690566194599920398863276991)*a^(8) + (2214811077375557727824740254)/(690566194599920398863276991)*a^(7) - (4782386493848827336196051080)/(690566194599920398863276991)*a^(6) + (5743834183884043837870903609)/(690566194599920398863276991)*a^(5) - (9128852103710830154702983710)/(690566194599920398863276991)*a^(4) + (7971198633308559369318767266)/(690566194599920398863276991)*a^(3) - (9458830922398930914270832914)/(690566194599920398863276991)*a^(2) + (5214019062598040572142041327)/(690566194599920398863276991)*a - (4733975370469563426432098568)/(690566194599920398863276991) , (95925058217349020985110)/(690566194599920398863276991)*a^(15) - (617869956251442804877857)/(690566194599920398863276991)*a^(14) + (3281787868882964857375711)/(690566194599920398863276991)*a^(13) - (22461899151279878935399772)/(690566194599920398863276991)*a^(12) + (47275998553810820836019279)/(690566194599920398863276991)*a^(11) - (266113137683540453002151571)/(690566194599920398863276991)*a^(10) + (462211853311844263166835101)/(690566194599920398863276991)*a^(9) - (1517945402627469753595226394)/(690566194599920398863276991)*a^(8) + (2330965477588126303616470301)/(690566194599920398863276991)*a^(7) - (5476969140438013584515497486)/(690566194599920398863276991)*a^(6) + (7300707886091924869917545327)/(690566194599920398863276991)*a^(5) - (12139678195658548586513169954)/(690566194599920398863276991)*a^(4) + (12624511886324214191598616096)/(690566194599920398863276991)*a^(3) - (15456067032163650069806211478)/(690566194599920398863276991)*a^(2) + (10444865189254232220295342384)/(690566194599920398863276991)*a - (7083719661330804047969523356)/(690566194599920398863276991) , (273928872356772411092874)/(690566194599920398863276991)*a^(15) + (311268910871023734090)/(690566194599920398863276991)*a^(14) + (8875776376383309599410083)/(690566194599920398863276991)*a^(13) - (4792947999530081928366665)/(690566194599920398863276991)*a^(12) + (87917448487231758857274389)/(690566194599920398863276991)*a^(11) - (108782294829131725678747034)/(690566194599920398863276991)*a^(10) + (420384270688628977446659597)/(690566194599920398863276991)*a^(9) - (562408665686423532386657928)/(690566194599920398863276991)*a^(8) + (1317156552235484413167240625)/(690566194599920398863276991)*a^(7) - (1471573309712969070298263640)/(690566194599920398863276991)*a^(6) + (2431061951439559196556804448)/(690566194599920398863276991)*a^(5) - (1644756252869245710080290987)/(690566194599920398863276991)*a^(4) + (1476461225587576323680556628)/(690566194599920398863276991)*a^(3) + (557818232100150578085306420)/(690566194599920398863276991)*a^(2) - (718271655958477767125336083)/(690566194599920398863276991)*a + (1688873666450982501464795805)/(690566194599920398863276991) , (6315794669035870963461)/(690566194599920398863276991)*a^(15) - (427961975633034608819297)/(690566194599920398863276991)*a^(14) + (79068972743761520293247)/(690566194599920398863276991)*a^(13) - (14821365985473777888532319)/(690566194599920398863276991)*a^(12) + (4883783757206197875156671)/(690566194599920398863276991)*a^(11) - (166657721645190318292875869)/(690566194599920398863276991)*a^(10) + (2021931576314878111124404)/(10306958128357020878556373)*a^(9) - (930344928100916502618563831)/(690566194599920398863276991)*a^(8) + (897654525140073314657499629)/(690566194599920398863276991)*a^(7) - (3310813184135858265897787440)/(690566194599920398863276991)*a^(6) + (3312772232444484641314099161)/(690566194599920398863276991)*a^(5) - (7484095850841584444622692723)/(690566194599920398863276991)*a^(4) + (6494737407720983045638210638)/(690566194599920398863276991)*a^(3) - (10016649154499081492356139334)/(690566194599920398863276991)*a^(2) + (5932290718556518339267377410)/(690566194599920398863276991)*a - (5732282842320625529033617382)/(690566194599920398863276991) , (200400210702103569579806)/(690566194599920398863276991)*a^(15) - (199550050277182597112331)/(690566194599920398863276991)*a^(14) + (6445739981625638388416656)/(690566194599920398863276991)*a^(13) - (10852488628042040770747671)/(690566194599920398863276991)*a^(12) + (66002939443952907324152308)/(690566194599920398863276991)*a^(11) - (171588712466615609180670579)/(690566194599920398863276991)*a^(10) + (377648099201553276255272812)/(690566194599920398863276991)*a^(9) - (987678308324433526984654500)/(690566194599920398863276991)*a^(8) + (1560128942404086098359555673)/(690566194599920398863276991)*a^(7) - (3273016224279599475335202211)/(690566194599920398863276991)*a^(6) + (4186332294578253550889989101)/(690566194599920398863276991)*a^(5) - (6628136023400634595790297476)/(690566194599920398863276991)*a^(4) + (6414161100494218459974033313)/(690566194599920398863276991)*a^(3) - (7541840921949436403067295461)/(690566194599920398863276991)*a^(2) + (4558574437381367003827227051)/(690566194599920398863276991)*a - (3301531750498366873808356521)/(690566194599920398863276991) , (134295807300322148605784)/(690566194599920398863276991)*a^(15) - (357851732011184102311925)/(690566194599920398863276991)*a^(14) + (4443682808278827600462433)/(690566194599920398863276991)*a^(13) - (14947260034004565783443037)/(690566194599920398863276991)*a^(12) + (52338178176886782582588271)/(690566194599920398863276991)*a^(11) - (203053979983803975004491363)/(690566194599920398863276991)*a^(10) + (393776240860622535860123020)/(690566194599920398863276991)*a^(9) - (1206716983852052988697480396)/(690566194599920398863276991)*a^(8) + (1905203711749362079436644775)/(690566194599920398863276991)*a^(7) - (4319679621573304004584229292)/(690566194599920398863276991)*a^(6) + (5749896306857176073023123590)/(690566194599920398863276991)*a^(5) - (9445786780853500445311417198)/(690566194599920398863276991)*a^(4) + (9733823248212363139713077731)/(690566194599920398863276991)*a^(3) - (11708360189061942319237697848)/(690566194599920398863276991)*a^(2) + (7659464663579716557159930357)/(690566194599920398863276991)*a - (5652483605215118598283813025)/(690566194599920398863276991) ], 3640.01221338, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1]]]