/* 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 - 2*x^15 - 5*x^14 + 12*x^13 + x^12 - 20*x^11 + 3*x^10 + 48*x^9 - 48*x^8 - 76*x^7 + 249*x^6 - 288*x^5 + 149*x^4 + 66*x^3 - 178*x^2 + 104*x - 17, 16, 528, [8, 4], 2471977847294525440000, [2, 5, 13, 17], [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^6 - 1/2*a^4 - 1/2*a^2 - 1/2, 1/2*a^13 - 1/2*a^7 - 1/2*a^5 - 1/2*a^3 - 1/2*a, 1/2*a^14 - 1/2*a^8 - 1/2*a^6 - 1/2*a^4 - 1/2*a^2, 1/9742454483926*a^15 + 1232192615175/9742454483926*a^14 + 931597541533/4871227241963*a^13 + 74671684433/4871227241963*a^12 - 615905758192/4871227241963*a^11 - 344533748971/4871227241963*a^10 - 860275677203/9742454483926*a^9 - 1990150432681/9742454483926*a^8 - 115595082285/423584977562*a^7 + 889977971055/9742454483926*a^6 + 1862006856787/9742454483926*a^5 + 194860673505/423584977562*a^4 + 2769597286049/9742454483926*a^3 + 764658345627/9742454483926*a^2 - 840228349147/4871227241963*a - 138367891065/286542778939], 0, 1, [], 0, [ (2077720428091)/(9742454483926)*a^(15) - (2267744103153)/(9742454483926)*a^(14) - (12353171019849)/(9742454483926)*a^(13) + (6766057488133)/(4871227241963)*a^(12) + (7022384708794)/(4871227241963)*a^(11) - (13867496361101)/(4871227241963)*a^(10) - (19731472177485)/(9742454483926)*a^(9) + (79733715179429)/(9742454483926)*a^(8) - (557798222521)/(211792488781)*a^(7) - (176379364677993)/(9742454483926)*a^(6) + (174083707305774)/(4871227241963)*a^(5) - (12565734320741)/(423584977562)*a^(4) + (36884293894772)/(4871227241963)*a^(3) + (176070499420345)/(9742454483926)*a^(2) - (195436669644731)/(9742454483926)*a + (1281901986470)/(286542778939) , (3453352340347)/(9742454483926)*a^(15) - (1900087191370)/(4871227241963)*a^(14) - (20395302319979)/(9742454483926)*a^(13) + (11566944238059)/(4871227241963)*a^(12) + (11212606429482)/(4871227241963)*a^(11) - (24689052986473)/(4871227241963)*a^(10) - (31714659346293)/(9742454483926)*a^(9) + (68755211356289)/(4871227241963)*a^(8) - (993801131959)/(211792488781)*a^(7) - (150075642792177)/(4871227241963)*a^(6) + (296399932193673)/(4871227241963)*a^(5) - (10440519978160)/(211792488781)*a^(4) + (53407105725994)/(4871227241963)*a^(3) + (157953951668538)/(4871227241963)*a^(2) - (333395221576379)/(9742454483926)*a + (2366558869744)/(286542778939) , (651106174121)/(4871227241963)*a^(15) - (264927852609)/(4871227241963)*a^(14) - (4007385772571)/(4871227241963)*a^(13) + (1546542869463)/(4871227241963)*a^(12) + (5184497971799)/(4871227241963)*a^(11) - (5354235881736)/(4871227241963)*a^(10) - (9463388377176)/(4871227241963)*a^(9) + (18155852463401)/(4871227241963)*a^(8) + (122992348264)/(211792488781)*a^(7) - (52835762420584)/(4871227241963)*a^(6) + (75175872375141)/(4871227241963)*a^(5) - (1847838760064)/(211792488781)*a^(4) - (4627749135027)/(4871227241963)*a^(3) + (55249117200173)/(4871227241963)*a^(2) - (26506870234704)/(4871227241963)*a - (256446648347)/(286542778939) , (447297268290)/(4871227241963)*a^(15) - (344700152479)/(9742454483926)*a^(14) - (2774848225815)/(4871227241963)*a^(13) + (1065152526897)/(4871227241963)*a^(12) + (3724000302087)/(4871227241963)*a^(11) - (3970936567879)/(4871227241963)*a^(10) - (6975536700253)/(4871227241963)*a^(9) + (25562784484247)/(9742454483926)*a^(8) + (131911776664)/(211792488781)*a^(7) - (75072021406615)/(9742454483926)*a^(6) + (50625292211020)/(4871227241963)*a^(5) - (2255929438301)/(423584977562)*a^(4) - (9843570866517)/(4871227241963)*a^(3) + (85541436580181)/(9742454483926)*a^(2) - (23113981283829)/(4871227241963)*a + (31665650600)/(286542778939) , (68815841777)/(9742454483926)*a^(15) - (321212350275)/(9742454483926)*a^(14) - (72098785683)/(4871227241963)*a^(13) + (2085246046911)/(9742454483926)*a^(12) - (430785093055)/(4871227241963)*a^(11) - (1855696687530)/(4871227241963)*a^(10) + (691654795123)/(9742454483926)*a^(9) + (6522050425163)/(9742454483926)*a^(8) - (295841687985)/(423584977562)*a^(7) - (3164933083752)/(4871227241963)*a^(6) + (28169089729817)/(9742454483926)*a^(5) - (940527698414)/(211792488781)*a^(4) + (34622975918291)/(9742454483926)*a^(3) - (3705537902887)/(4871227241963)*a^(2) - (12734236660723)/(4871227241963)*a + (1701550868911)/(573085557878) , (1340849250259)/(4871227241963)*a^(15) - (1284678088827)/(4871227241963)*a^(14) - (16245453238425)/(9742454483926)*a^(13) + (7642483241710)/(4871227241963)*a^(12) + (9980975040219)/(4871227241963)*a^(11) - (16549871182493)/(4871227241963)*a^(10) - (15108194813236)/(4871227241963)*a^(9) + (49370182971260)/(4871227241963)*a^(8) - (821791111281)/(423584977562)*a^(7) - (114478262828074)/(4871227241963)*a^(6) + (418522110581427)/(9742454483926)*a^(5) - (6844299798709)/(211792488781)*a^(4) + (67198626143983)/(9742454483926)*a^(3) + (110495452060136)/(4871227241963)*a^(2) - (218834581354141)/(9742454483926)*a + (961551642411)/(286542778939) , (55567104133)/(286542778939)*a^(15) - (52828393484)/(286542778939)*a^(14) - (683260828599)/(573085557878)*a^(13) + (311707779684)/(286542778939)*a^(12) + (445264464032)/(286542778939)*a^(11) - (659010037833)/(286542778939)*a^(10) - (660192893689)/(286542778939)*a^(9) + (1995304547129)/(286542778939)*a^(8) - (31177054519)/(24916763386)*a^(7) - (4746292239584)/(286542778939)*a^(6) + (17254458970363)/(573085557878)*a^(5) - (274844698722)/(12458381693)*a^(4) + (1691123217217)/(573085557878)*a^(3) + (4682992763312)/(286542778939)*a^(2) - (8791179356481)/(573085557878)*a + (781450072095)/(286542778939) , (237720150091)/(423584977562)*a^(15) - (134154440290)/(211792488781)*a^(14) - (714266951421)/(211792488781)*a^(13) + (807151630070)/(211792488781)*a^(12) + (841480144039)/(211792488781)*a^(11) - (1662424605651)/(211792488781)*a^(10) - (2245882297527)/(423584977562)*a^(9) + (4755372145368)/(211792488781)*a^(8) - (3001130973797)/(423584977562)*a^(7) - (10413133895329)/(211792488781)*a^(6) + (41057255623449)/(423584977562)*a^(5) - (16127328993785)/(211792488781)*a^(4) + (6427395726777)/(423584977562)*a^(3) + (11076185821432)/(211792488781)*a^(2) - (11726405339343)/(211792488781)*a + (133787038826)/(12458381693) , (19215215483)/(286542778939)*a^(15) - (10621795984)/(286542778939)*a^(14) - (224437314905)/(573085557878)*a^(13) + (124150999027)/(573085557878)*a^(12) + (118234682745)/(286542778939)*a^(11) - (170277294228)/(286542778939)*a^(10) - (224657668508)/(286542778939)*a^(9) + (497872088861)/(286542778939)*a^(8) - (7450766443)/(24916763386)*a^(7) - (2732713974635)/(573085557878)*a^(6) + (5049165362701)/(573085557878)*a^(5) - (181128068407)/(24916763386)*a^(4) + (872667529789)/(573085557878)*a^(3) + (3147427416675)/(573085557878)*a^(2) - (2757572958481)/(573085557878)*a + (949781394887)/(573085557878) , (55567104133)/(286542778939)*a^(15) - (52828393484)/(286542778939)*a^(14) - (683260828599)/(573085557878)*a^(13) + (311707779684)/(286542778939)*a^(12) + (445264464032)/(286542778939)*a^(11) - (659010037833)/(286542778939)*a^(10) - (660192893689)/(286542778939)*a^(9) + (1995304547129)/(286542778939)*a^(8) - (31177054519)/(24916763386)*a^(7) - (4746292239584)/(286542778939)*a^(6) + (17254458970363)/(573085557878)*a^(5) - (274844698722)/(12458381693)*a^(4) + (1691123217217)/(573085557878)*a^(3) + (4682992763312)/(286542778939)*a^(2) - (8791179356481)/(573085557878)*a + (494907293156)/(286542778939) , (24876981579)/(286542778939)*a^(15) - (70559400703)/(573085557878)*a^(14) - (146016210691)/(286542778939)*a^(13) + (432280714011)/(573085557878)*a^(12) + (159099149886)/(286542778939)*a^(11) - (421762761980)/(286542778939)*a^(10) - (188539480789)/(286542778939)*a^(9) + (2236874114081)/(573085557878)*a^(8) - (23397903092)/(12458381693)*a^(7) - (2286166744074)/(286542778939)*a^(6) + (4909436575132)/(286542778939)*a^(5) - (182866273387)/(12458381693)*a^(4) + (1027601094238)/(286542778939)*a^(3) + (2300133219598)/(286542778939)*a^(2) - (3076897520136)/(286542778939)*a + (1521042609299)/(573085557878) ], 49011.3003361, [[x^2 - 2, 1], [x^2 - x - 3, 1], [x^2 - 26, 1], [x^4 - 2*x^3 - 9*x^2 + 10*x - 1, 1], [x^8 - 2*x^7 - x^6 - 6*x^5 + 29*x^4 - 12*x^3 - 30*x^2 + 24*x - 4, 1], [x^8 - 4*x^7 + 14*x^5 - 32*x^4 + 36*x^3 - 21*x^2 + 6*x + 1, 1], [x^8 - 2*x^7 - 9*x^6 + 12*x^5 + 21*x^4 - 8*x^3 - 15*x^2 - 2*x + 1, 1]]]