/* 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 - 6*x^15 - 54*x^14 + 316*x^13 + 1129*x^12 - 5904*x^11 - 12476*x^10 + 49215*x^9 + 76870*x^8 - 187170*x^7 - 241469*x^6 + 304908*x^5 + 315322*x^4 - 220035*x^3 - 165824*x^2 + 54341*x + 30259, 16, 24, [16, 0], 10483151353726139536553735554369, [17, 53], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^9 - 1/2*a^6 - 1/2*a^3 - 1/2, 1/2*a^13 - 1/2*a^10 - 1/2*a^7 - 1/2*a^4 - 1/2*a, 1/26*a^14 + 2/13*a^13 - 3/13*a^12 - 11/26*a^11 - 2/13*a^10 + 11/26*a^8 - 5/13*a^7 + 1/13*a^6 + 9/26*a^5 + 4/13*a^4 + 1/13*a^3 - 1/2*a^2 + 3/13*a + 6/13, 1/593268383775801003071303881423018*a^15 + 2490202065410282607946086500935/296634191887900501535651940711509*a^14 - 32375678680999134802243991323891/593268383775801003071303881423018*a^13 + 13292512273160109192758174756277/593268383775801003071303881423018*a^12 + 76937574525306480214883339204821/296634191887900501535651940711509*a^11 - 222082352379546088218273871031549/593268383775801003071303881423018*a^10 - 283749633662838353131107555072909/593268383775801003071303881423018*a^9 - 115505478672522288051052892248731/296634191887900501535651940711509*a^8 + 121208052069177740805463583539805/593268383775801003071303881423018*a^7 - 37537474353320669841198175132049/593268383775801003071303881423018*a^6 + 127716953854287561993408654788190/296634191887900501535651940711509*a^5 - 234435972895186404132473544483931/593268383775801003071303881423018*a^4 - 125936009152099776373915537716561/593268383775801003071303881423018*a^3 - 5139860005163743577193979318735/296634191887900501535651940711509*a^2 - 234840842846585477801917370603731/593268383775801003071303881423018*a + 76277088807240246067172562606169/296634191887900501535651940711509], 0, 2, [2], 1, [ (110564867405459976481100510)/(423158618955635522875395065209)*a^(15) - (557664374556527075572872676)/(423158618955635522875395065209)*a^(14) - (6498742233245292603516633694)/(423158618955635522875395065209)*a^(13) + (28713623326197510604907242899)/(423158618955635522875395065209)*a^(12) + (151906526491082877975287086266)/(423158618955635522875395065209)*a^(11) - (39008199452339125550339885906)/(32550662996587347913491928093)*a^(10) - (1852416065472597701251388654477)/(423158618955635522875395065209)*a^(9) + (3666682760293489127872009155634)/(423158618955635522875395065209)*a^(8) + (11813071907094600499261631207712)/(423158618955635522875395065209)*a^(7) - (9418084059868775671181322793097)/(423158618955635522875395065209)*a^(6) - (34149092666063495374339531814640)/(423158618955635522875395065209)*a^(5) + (1300794522453112176517293316489)/(423158618955635522875395065209)*a^(4) + (2341881099989465082394544436743)/(32550662996587347913491928093)*a^(3) + (4710849447523035625670587179276)/(423158618955635522875395065209)*a^(2) - (6608704475227354735471478108703)/(423158618955635522875395065209)*a - (152237399550205988216023751427)/(32550662996587347913491928093) , (107908976651237602229230692)/(423158618955635522875395065209)*a^(15) - (538102246299210617802074585)/(423158618955635522875395065209)*a^(14) - (6437779977856089019018717697)/(423158618955635522875395065209)*a^(13) + (28046004678281658170236181280)/(423158618955635522875395065209)*a^(12) + (153134669473115597098250076413)/(423158618955635522875395065209)*a^(11) - (38880788872085680063583748730)/(32550662996587347913491928093)*a^(10) - (1900177252948346059896929273331)/(423158618955635522875395065209)*a^(9) + (3791982545669448660478576308426)/(423158618955635522875395065209)*a^(8) + (12399796358693752611335374171503)/(423158618955635522875395065209)*a^(7) - (10658125085094367915435238822931)/(423158618955635522875395065209)*a^(6) - (37701929221401349341941132037504)/(423158618955635522875395065209)*a^(5) + (4233561920182632321622292607041)/(423158618955635522875395065209)*a^(4) + (3082635355368213997389400710990)/(32550662996587347913491928093)*a^(3) + (6171465251485923447036230768292)/(423158618955635522875395065209)*a^(2) - (12941206765136235643910140293765)/(423158618955635522875395065209)*a - (301110518097066770294455132318)/(32550662996587347913491928093) , (2655890754222374251869818)/(423158618955635522875395065209)*a^(15) - (19562128257316457770798091)/(423158618955635522875395065209)*a^(14) - (60962255389203584497915997)/(423158618955635522875395065209)*a^(13) + (667618647915852434671061619)/(423158618955635522875395065209)*a^(12) - (1228142982032719122962990147)/(423158618955635522875395065209)*a^(11) - (127410580253445486756137176)/(32550662996587347913491928093)*a^(10) + (47761187475748358645540618854)/(423158618955635522875395065209)*a^(9) - (125299785375959532606567152792)/(423158618955635522875395065209)*a^(8) - (586724451599152112073742963791)/(423158618955635522875395065209)*a^(7) + (1240041025225592244253916029834)/(423158618955635522875395065209)*a^(6) + (3552836555337853967601600222864)/(423158618955635522875395065209)*a^(5) - (2932767397729520145104999290552)/(423158618955635522875395065209)*a^(4) - (740754255378748914994856274247)/(32550662996587347913491928093)*a^(3) - (1460615803962887821365643589016)/(423158618955635522875395065209)*a^(2) + (6332502289908880908438662185062)/(423158618955635522875395065209)*a + (213974444540035477905415237077)/(32550662996587347913491928093) , (7631624045254752842435045687)/(45636029521215461774715683186386)*a^(15) - (24115929311944264092371933945)/(22818014760607730887357841593193)*a^(14) - (391653040448216373154196596161)/(45636029521215461774715683186386)*a^(13) + (1253614826055261312576125550057)/(22818014760607730887357841593193)*a^(12) + (3773315843678900276018132698696)/(22818014760607730887357841593193)*a^(11) - (45949764393365753619975207202797)/(45636029521215461774715683186386)*a^(10) - (37508576526416487412493339760649)/(22818014760607730887357841593193)*a^(9) + (186215870724368372728283555749192)/(22818014760607730887357841593193)*a^(8) + (407766343827820080633300460530993)/(45636029521215461774715683186386)*a^(7) - (674974026185501371793636326887359)/(22818014760607730887357841593193)*a^(6) - (526956346777932615307391750854928)/(22818014760607730887357841593193)*a^(5) + (1984651926259388580303493414809521)/(45636029521215461774715683186386)*a^(4) + (374935777147362712497190187853255)/(22818014760607730887357841593193)*a^(3) - (585184262395574427037374692827264)/(22818014760607730887357841593193)*a^(2) + (43637392449673273534652647283991)/(45636029521215461774715683186386)*a + (114293839778643956100316267157323)/(45636029521215461774715683186386) , (65888387430851932939555134529)/(593268383775801003071303881423018)*a^(15) - (363504741825052601821419477777)/(593268383775801003071303881423018)*a^(14) - (292213070124245281939992904829)/(45636029521215461774715683186386)*a^(13) + (9725903375083395740986388469178)/(296634191887900501535651940711509)*a^(12) + (86618649735503870468440543602305)/(593268383775801003071303881423018)*a^(11) - (370093622297385652839830658690171)/(593268383775801003071303881423018)*a^(10) - (520207225405326617529635069317729)/(296634191887900501535651940711509)*a^(9) + (240322855579085644973830853196111)/(45636029521215461774715683186386)*a^(8) + (523430342947386043885969942827735)/(45636029521215461774715683186386)*a^(7) - (5867374268750751597556691347015798)/(296634191887900501535651940711509)*a^(6) - (22218880905092534362279319399339181)/(593268383775801003071303881423018)*a^(5) + (16879944611180905520471171597911549)/(593268383775801003071303881423018)*a^(4) + (15015688130580215746313627906334534)/(296634191887900501535651940711509)*a^(3) - (6355201137947417410746393780797551)/(593268383775801003071303881423018)*a^(2) - (13107276069131003930328695462465663)/(593268383775801003071303881423018)*a - (1992067482839381035890450188845325)/(593268383775801003071303881423018) , (437719039141442491113199999010)/(296634191887900501535651940711509)*a^(15) - (4715889248094106531502616648627)/(593268383775801003071303881423018)*a^(14) - (1915178569815770092688415647770)/(22818014760607730887357841593193)*a^(13) + (121968083201251020409070069290968)/(296634191887900501535651940711509)*a^(12) + (1117985139432615867021051530112809)/(593268383775801003071303881423018)*a^(11) - (2185537766178439501641628367422118)/(296634191887900501535651940711509)*a^(10) - (6592516092163173704041864508457689)/(296634191887900501535651940711509)*a^(9) + (2537166877219708291587788735124891)/(45636029521215461774715683186386)*a^(8) + (3188751332424180764766574849002985)/(22818014760607730887357841593193)*a^(7) - (48662554584529703131441216702536480)/(296634191887900501535651940711509)*a^(6) - (243180283717043886423125148222184775)/(593268383775801003071303881423018)*a^(5) + (33083531217452337228597745796264962)/(296634191887900501535651940711509)*a^(4) + (118174309440262081936179933195384866)/(296634191887900501535651940711509)*a^(3) + (11024616809382619655201377843343605)/(593268383775801003071303881423018)*a^(2) - (31465712919384076549737987465145773)/(296634191887900501535651940711509)*a - (7583209200237981439742620813179943)/(296634191887900501535651940711509) , (72048023861273581196912145901)/(593268383775801003071303881423018)*a^(15) - (474665051346196972451312764789)/(593268383775801003071303881423018)*a^(14) - (3500764954304352571607759604539)/(593268383775801003071303881423018)*a^(13) + (12063430131686781558346806770898)/(296634191887900501535651940711509)*a^(12) + (61611347749972338526656053399689)/(593268383775801003071303881423018)*a^(11) - (426362278960573614697942266177583)/(593268383775801003071303881423018)*a^(10) - (272043865392056126868480162642897)/(296634191887900501535651940711509)*a^(9) + (3253661771572136026719489503257465)/(593268383775801003071303881423018)*a^(8) + (2595910802957155411346720978463141)/(593268383775801003071303881423018)*a^(7) - (5256171221713735786491903329291246)/(296634191887900501535651940711509)*a^(6) - (5467795394594394573229633065131543)/(593268383775801003071303881423018)*a^(5) + (11949266030873390179133860150541745)/(593268383775801003071303881423018)*a^(4) + (43432487393928724436958750775502)/(296634191887900501535651940711509)*a^(3) - (5139861391148061696803248283784581)/(593268383775801003071303881423018)*a^(2) + (3540641613173716422723791932324997)/(593268383775801003071303881423018)*a - (287104175653282466199625304333135)/(593268383775801003071303881423018) , (290068553870739317572020431237)/(593268383775801003071303881423018)*a^(15) - (671369494875056072424257156151)/(296634191887900501535651940711509)*a^(14) - (17874724036769107434517053233495)/(593268383775801003071303881423018)*a^(13) + (34747988431684791022199474562599)/(296634191887900501535651940711509)*a^(12) + (220833632154276871872138421488350)/(296634191887900501535651940711509)*a^(11) - (94467075595998961513485098880131)/(45636029521215461774715683186386)*a^(10) - (2831673784364294575671246724935862)/(296634191887900501535651940711509)*a^(9) + (4351995956375101924310660483730820)/(296634191887900501535651940711509)*a^(8) + (37768458395202494321231726125183043)/(593268383775801003071303881423018)*a^(7) - (9902544258446197950404969406609904)/(296634191887900501535651940711509)*a^(6) - (58111616162639890644231316277359092)/(296634191887900501535651940711509)*a^(5) - (12445065860027169471893054463649165)/(593268383775801003071303881423018)*a^(4) + (4778277261847784291254945330625465)/(22818014760607730887357841593193)*a^(3) + (18313912036836698947268160270304011)/(296634191887900501535651940711509)*a^(2) - (39617129043236416458961112003180251)/(593268383775801003071303881423018)*a - (1149431666800401753642900846157209)/(45636029521215461774715683186386) , (360813679637215216281845707993)/(593268383775801003071303881423018)*a^(15) - (873702097672536681351874354476)/(296634191887900501535651940711509)*a^(14) - (21687808103725061469376022725251)/(593268383775801003071303881423018)*a^(13) + (45021281856311315885877475382819)/(296634191887900501535651940711509)*a^(12) + (260485452941370631138491940512183)/(296634191887900501535651940711509)*a^(11) - (121911191807487229178082009762307)/(45636029521215461774715683186386)*a^(10) - (3260297908093686936939673938251824)/(296634191887900501535651940711509)*a^(9) + (5618465298648073008548603957734393)/(296634191887900501535651940711509)*a^(8) + (42643897359545399275872789500141295)/(593268383775801003071303881423018)*a^(7) - (13028171666504922081778246977363674)/(296634191887900501535651940711509)*a^(6) - (64061181889244843772581264746653029)/(296634191887900501535651940711509)*a^(5) - (12924792185391415340539363134679131)/(593268383775801003071303881423018)*a^(4) + (4956134402639200014637591110777251)/(22818014760607730887357841593193)*a^(3) + (21193656708417042417574637060978993)/(296634191887900501535651940711509)*a^(2) - (37756815689928238318112743214053795)/(593268383775801003071303881423018)*a - (1203977625743991440207861571691815)/(45636029521215461774715683186386) , (417833946799980065206933311787)/(593268383775801003071303881423018)*a^(15) - (1149448574352002110797889106274)/(296634191887900501535651940711509)*a^(14) - (23413133380365412978235516481687)/(593268383775801003071303881423018)*a^(13) + (59327672571350063321738570001649)/(296634191887900501535651940711509)*a^(12) + (257439229488814252681626535692115)/(296634191887900501535651940711509)*a^(11) - (163201270674635645330149834289105)/(45636029521215461774715683186386)*a^(10) - (2967706355142909065729200230173839)/(296634191887900501535651940711509)*a^(9) + (8004116390801597479825331744105551)/(296634191887900501535651940711509)*a^(8) + (36419615293965377841992205348293535)/(593268383775801003071303881423018)*a^(7) - (23859908005275111398005076580186029)/(296634191887900501535651940711509)*a^(6) - (51403657065179895650431626783825796)/(296634191887900501535651940711509)*a^(5) + (36750647331069614962572062507759667)/(593268383775801003071303881423018)*a^(4) + (3414508762820361792355160575167161)/(22818014760607730887357841593193)*a^(3) - (3648169204006875082557292355885702)/(296634191887900501535651940711509)*a^(2) - (18544056300098954585558134890671251)/(593268383775801003071303881423018)*a - (37612782017857495406495237782917)/(45636029521215461774715683186386) , (338561492772123946179416153403)/(593268383775801003071303881423018)*a^(15) - (2061633518957491432068504667839)/(593268383775801003071303881423018)*a^(14) - (18019867750216522469062938451827)/(593268383775801003071303881423018)*a^(13) + (54121812649261033178393859222924)/(296634191887900501535651940711509)*a^(12) + (367527285815088179395003344561881)/(593268383775801003071303881423018)*a^(11) - 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