/* 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 - 27*x^14 - 391*x^12 + 12083*x^10 + 14558*x^8 - 954119*x^6 - 406089*x^4 + 20161999*x^2 + 31348801, 16, 860, [8, 4], 401462406422482169881600000000, [2, 5, 11, 29, 509], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2, 1/2*a^11 - 1/2*a, 1/12*a^12 - 1/12*a^10 - 1/6*a^8 + 1/12*a^2 + 5/12, 1/12*a^13 - 1/12*a^11 - 1/6*a^9 + 1/12*a^3 + 5/12*a, 1/99219845944410544259172552*a^14 - 872311682100400298466131/24804961486102636064793138*a^12 + 23806410333167522499183893/99219845944410544259172552*a^10 + 11940349637275205066379775/49609922972205272129586276*a^8 - 585630451747582075290558/4134160247683772677465523*a^6 - 31002235464960602433457967/99219845944410544259172552*a^4 + 1254868533514455132409619/49609922972205272129586276*a^2 + 2518445934598220514391/17720994096161911816248, 1/99219845944410544259172552*a^15 - 872311682100400298466131/24804961486102636064793138*a^13 + 23806410333167522499183893/99219845944410544259172552*a^11 + 11940349637275205066379775/49609922972205272129586276*a^9 - 585630451747582075290558/4134160247683772677465523*a^7 - 31002235464960602433457967/99219845944410544259172552*a^5 + 1254868533514455132409619/49609922972205272129586276*a^3 + 2518445934598220514391/17720994096161911816248*a], 0, 1, [], 1, [ (963879678111)/(24510365278232243176)*a^(14) - (2899728840226)/(3063795659779030397)*a^(12) - (457870657098821)/(24510365278232243176)*a^(10) + (5286042464742217)/(12255182639116121588)*a^(8) + (6635020992273161)/(3063795659779030397)*a^(6) - (895942677104093441)/(24510365278232243176)*a^(4) - (2723320777766266381)/(12255182639116121588)*a^(2) + (33070897922613454671)/(24510365278232243176) , (18491345602740689)/(194930935057781029978728)*a^(14) - (37135003610544167)/(8122122294074209582447)*a^(12) + (798970651158665211)/(64976978352593676659576)*a^(10) + (189415802084362716355)/(97465467528890514989364)*a^(8) - (152378984387168173967)/(8122122294074209582447)*a^(6) - (24299243405375249981359)/(194930935057781029978728)*a^(4) + (32743041136577432479743)/(32488489176296838329788)*a^(2) + (44152160282125794730151)/(17720994096161911816248) , (146565548505236723)/(4509992997473206557235116)*a^(14) - (6475639291699556839)/(4509992997473206557235116)*a^(12) + (3668769153341958799)/(1127498249368301639308779)*a^(10) + (607327545148838994685)/(1127498249368301639308779)*a^(8) - (2143096615174181958739)/(375832749789433879769593)*a^(6) - (19989005118302276980189)/(4509992997473206557235116)*a^(4) + (964256420113865002624247)/(4509992997473206557235116)*a^(2) - (4453207276437784464247)/(4430248524040477954062) , (647845565713068223)/(9019985994946413114470232)*a^(14) - (10744121336919755167)/(4509992997473206557235116)*a^(12) - (139149453680230149355)/(9019985994946413114470232)*a^(10) + (4374610809917745030259)/(4509992997473206557235116)*a^(8) - (1329185225073025572030)/(375832749789433879769593)*a^(6) - (369691187009650668902465)/(9019985994946413114470232)*a^(4) - (9486172337391347362105)/(1127498249368301639308779)*a^(2) + (6097430092298389870145)/(17720994096161911816248) , (18491345602740689)/(194930935057781029978728)*a^(14) - (37135003610544167)/(8122122294074209582447)*a^(12) + (798970651158665211)/(64976978352593676659576)*a^(10) + (189415802084362716355)/(97465467528890514989364)*a^(8) - (152378984387168173967)/(8122122294074209582447)*a^(6) - (24299243405375249981359)/(194930935057781029978728)*a^(4) + (32743041136577432479743)/(32488489176296838329788)*a^(2) + (26431166185963882913903)/(17720994096161911816248) , (3561200608623839957)/(24804961486102636064793138)*a^(14) - (108887016720179642855)/(16536640990735090709862092)*a^(12) + (298267619442193015151)/(16536640990735090709862092)*a^(10) + (65453229998070167953499)/(24804961486102636064793138)*a^(8) - (116846129226931325401043)/(4134160247683772677465523)*a^(6) - (2853658508664545894241595)/(24804961486102636064793138)*a^(4) + (23839842067313369370087345)/(16536640990735090709862092)*a^(2) + (17431336273012324205333)/(8860497048080955908124) , (212582981574185)/(3408796713656871002136)*a^(14) - (5345400413801101)/(1704398356828435501068)*a^(12) + (30823392957886055)/(3408796713656871002136)*a^(10) + (798092455129827955)/(568132785609478500356)*a^(8) - (1854771714232060982)/(142033196402369625089)*a^(6) - (409817459055668813239)/(3408796713656871002136)*a^(4) + (338336166508925897273)/(426099589207108875267)*a^(2) + (912563798903343347)/(202940805718692088) , (1089786155422678817899)/(33073281981470181419724184)*a^(15) + (918278569301459038901)/(9019985994946413114470232)*a^(14) - (28493241948893579321351)/(49609922972205272129586276)*a^(13) - (7826226648210992938897)/(4509992997473206557235116)*a^(12) - (1796112118706684692594181)/(99219845944410544259172552)*a^(11) - (502463921389673627248141)/(9019985994946413114470232)*a^(10) + (11238702953222155358205541)/(49609922972205272129586276)*a^(9) + (1027691040127079407397479)/(1503330999157735519078372)*a^(8) + (10487350581792089733893404)/(4134160247683772677465523)*a^(7) + (2906288664046581319994398)/(375832749789433879769593)*a^(6) - (258881651005013943701823549)/(33073281981470181419724184)*a^(5) - (212607819456947860802581411)/(9019985994946413114470232)*a^(4) - (2083785019210117034574498181)/(24804961486102636064793138)*a^(3) - (287537234716080661749134194)/(1127498249368301639308779)*a^(2) - (1973798350939544967665075)/(17720994096161911816248)*a - (1994784852162014512053011)/(5906998032053970605416) , (2007246404167450446723)/(636024653489811181148542)*a^(15) + (680572668142030390568)/(86730634566792433792983)*a^(14) - (19953526321747894516903)/(318012326744905590574271)*a^(13) - (13617853954477255254857)/(86730634566792433792983)*a^(12) - (1068589069919770073787149)/(636024653489811181148542)*a^(11) - (361339041684593265194701)/(86730634566792433792983)*a^(10) + (8322304637393513183804330)/(318012326744905590574271)*a^(9) + (1899585889584709317842709)/(28910211522264144597661)*a^(8) + (73761114573600272764290706)/(318012326744905590574271)*a^(7) + (16594013204887786664926210)/(28910211522264144597661)*a^(6) - (864554986246375083233734949)/(636024653489811181148542)*a^(5) - (301738080065289538783699183)/(86730634566792433792983)*a^(4) - (3472511727811500076039395363)/(318012326744905590574271)*a^(3) - (2393885016975514762814819237)/(86730634566792433792983)*a^(2) - (1581799437894964034560819)/(113596116001037896258)*a - (1995283504686110832253836)/(56798058000518948129) , (19129077700318003470317)/(33073281981470181419724184)*a^(15) + (13428595745114451931)/(5906998032053970605416)*a^(14) - (83838028305563203703611)/(16536640990735090709862092)*a^(13) - (50771371749925195275)/(2953499016026985302708)*a^(12) - (10384956484154957446735241)/(33073281981470181419724184)*a^(11) - (7307432664399788859963)/(5906998032053970605416)*a^(10) + (20790346604730913610671213)/(16536640990735090709862092)*a^(9) + (10131699756933043612855)/(2953499016026985302708)*a^(8) + (119001174675741641981577156)/(4134160247683772677465523)*a^(7) + (79292712164702215524194)/(738374754006746325677)*a^(6) - (1213068213449355612505023627)/(33073281981470181419724184)*a^(5) - (307856374864701911420901)/(5906998032053970605416)*a^(4) - (6182191782947877686077614807)/(8268320495367545354931046)*a^(3) - (1770472955479165679201075)/(738374754006746325677)*a^(2) - (6233505607892998330013887)/(5906998032053970605416)*a - (20667414611830952925636355)/(5906998032053970605416) , (2660366132268656362818944)/(954036980234716771722813)*a^(15) + (2592682611441311285240413)/(346922538267169735171932)*a^(14) - (17539108768440055927779329)/(318012326744905590574271)*a^(13) - (12753241360946430453492338)/(86730634566792433792983)*a^(12) - (471690317257097845097083839)/(318012326744905590574271)*a^(11) - (1379330171970383335176199039)/(346922538267169735171932)*a^(10) + (21920875641205192333145140388)/(954036980234716771722813)*a^(9) + (10608498015534692554968522343)/(173461269133584867585966)*a^(8) + (64739678069346592316082178088)/(318012326744905590574271)*a^(7) + (15726643115891990389132976198)/(28910211522264144597661)*a^(6) - (1146468534100025149839234073198)/(954036980234716771722813)*a^(5) - (1108416563680616954607022018499)/(346922538267169735171932)*a^(4) - (3062903523577861344785449248735)/(318012326744905590574271)*a^(3) - (4451370011286032816146482413635)/(173461269133584867585966)*a^(2) - (2092263361937173606731950537)/(170394174001556844387)*a - (22306959081426368873899622275)/(681576696006227377548) ], 515675231.647, [[x^2 - x - 1, 1], [x^2 - x - 7, 1], [x^2 - x - 36, 1], [x^4 - x^3 - 3*x^2 + x + 1, 2], [x^4 - x^3 - 5*x^2 - x + 1, 2], [x^4 - 17*x^2 + 36, 1], [x^8 - 2*x^7 - 12*x^6 + 26*x^5 + 17*x^4 - 36*x^3 - 5*x^2 + 11*x - 1, 1]]]