/* 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 + 8*x^14 - 4*x^13 + 32*x^12 - 24*x^11 + 56*x^10 - 84*x^9 + 39*x^8 - 112*x^7 - 4*x^6 - 100*x^5 + 186*x^4 + 184*x^3 + 116*x^2 - 40*x + 17, 16, 1759, [0, 8], 3201324299442626494464, [2, 3, 41, 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, 1/31*a^14 + 15/31*a^13 + 4/31*a^12 + 15/31*a^10 + 15/31*a^9 + 8/31*a^8 + 11/31*a^7 + 15/31*a^6 + 12/31*a^5 - 4/31*a^4 + 6/31*a^3 + 14/31*a^2 + 12/31*a + 4/31, 1/389806032547111*a^15 - 3887590618182/389806032547111*a^14 - 96530509597077/389806032547111*a^13 + 177929382842135/389806032547111*a^12 - 157194889652574/389806032547111*a^11 - 163916205155060/389806032547111*a^10 - 134622855437649/389806032547111*a^9 + 144238060471178/389806032547111*a^8 + 88869830116467/389806032547111*a^7 - 115062592605741/389806032547111*a^6 + 22677562212015/389806032547111*a^5 - 58807018020964/389806032547111*a^4 - 75307234965554/389806032547111*a^3 + 138068824585837/389806032547111*a^2 - 157270504130321/389806032547111*a + 93295950006605/389806032547111], 0, 1, [], 1, [ (6562987887163)/(389806032547111)*a^(15) + (41667114981)/(389806032547111)*a^(14) + (55043965448186)/(389806032547111)*a^(13) - (28758719014396)/(389806032547111)*a^(12) + (225896995966161)/(389806032547111)*a^(11) - (183885494344724)/(389806032547111)*a^(10) + (433675652406024)/(389806032547111)*a^(9) - (652626861971230)/(389806032547111)*a^(8) + (357332051889623)/(389806032547111)*a^(7) - (933997345472136)/(389806032547111)*a^(6) + (60480028345562)/(389806032547111)*a^(5) - (722769113614450)/(389806032547111)*a^(4) + (1020469455406814)/(389806032547111)*a^(3) + (1285381574167090)/(389806032547111)*a^(2) + (1152567004338716)/(389806032547111)*a + (46910925764804)/(389806032547111) , (9487775842203)/(389806032547111)*a^(15) + (3782674060911)/(389806032547111)*a^(14) + (75597958646142)/(389806032547111)*a^(13) - (7716039924944)/(389806032547111)*a^(12) + (282371355871706)/(389806032547111)*a^(11) - (104442360482187)/(389806032547111)*a^(10) + (408532955660532)/(389806032547111)*a^(9) - (581074135703668)/(389806032547111)*a^(8) - (32309134441380)/(389806032547111)*a^(7) - (907099083139772)/(389806032547111)*a^(6) - (506370669287916)/(389806032547111)*a^(5) - (32094815934464)/(12574388146681)*a^(4) + (1422891591838881)/(389806032547111)*a^(3) + (2551188212370538)/(389806032547111)*a^(2) + (1954222834895320)/(389806032547111)*a - (168360888103574)/(389806032547111) , (2924787955040)/(389806032547111)*a^(15) + (3741006945930)/(389806032547111)*a^(14) + (20553993197956)/(389806032547111)*a^(13) + (21042679089452)/(389806032547111)*a^(12) + (56474359905545)/(389806032547111)*a^(11) + (79443133862537)/(389806032547111)*a^(10) - (25142696745492)/(389806032547111)*a^(9) + (71552726267562)/(389806032547111)*a^(8) - (389641186331003)/(389806032547111)*a^(7) + (26898262332364)/(389806032547111)*a^(6) - (566850697633478)/(389806032547111)*a^(5) - (272170180353934)/(389806032547111)*a^(4) + (402422136432067)/(389806032547111)*a^(3) + (1265806638203448)/(389806032547111)*a^(2) + (801655830556604)/(389806032547111)*a + (174534218678733)/(389806032547111) , (6064699828030)/(389806032547111)*a^(15) - (2984522327419)/(389806032547111)*a^(14) + (47990611656540)/(389806032547111)*a^(13) - (46804890779322)/(389806032547111)*a^(12) + (202372620429758)/(389806032547111)*a^(11) - (229751689437509)/(389806032547111)*a^(10) + (392491808516312)/(389806032547111)*a^(9) - (632643648660648)/(389806032547111)*a^(8) + (443699961893544)/(389806032547111)*a^(7) - (717688022693855)/(389806032547111)*a^(6) + (210768028734368)/(389806032547111)*a^(5) - (545880560316458)/(389806032547111)*a^(4) + (1383436393389150)/(389806032547111)*a^(3) + (582605836426876)/(389806032547111)*a^(2) - (240020626812552)/(389806032547111)*a - (65899486484437)/(389806032547111) , (3272949549725)/(389806032547111)*a^(15) + (718385490545)/(389806032547111)*a^(14) + (25790106397876)/(389806032547111)*a^(13) - (11956248484072)/(389806032547111)*a^(12) + (99594087479570)/(389806032547111)*a^(11) - (86010661734944)/(389806032547111)*a^(10) + (181319556703728)/(389806032547111)*a^(9) - (317418058840504)/(389806032547111)*a^(8) + (158891848621002)/(389806032547111)*a^(7) - (394028469396689)/(389806032547111)*a^(6) + (114888508067820)/(389806032547111)*a^(5) - (256058173501097)/(389806032547111)*a^(4) + (420530797577891)/(389806032547111)*a^(3) + (463274935700199)/(389806032547111)*a^(2) + (444637624091442)/(389806032547111)*a - (858836260657)/(389806032547111) , (340701941343)/(389806032547111)*a^(15) + (2671712947832)/(389806032547111)*a^(14) + (4158129775815)/(389806032547111)*a^(13) + (25478054018779)/(389806032547111)*a^(12) + (13772078470612)/(389806032547111)*a^(11) + (115260449893030)/(389806032547111)*a^(10) + (12460379390839)/(389806032547111)*a^(9) + (239300941269816)/(389806032547111)*a^(8) - (66648487371020)/(389806032547111)*a^(7) + (141744070698085)/(389806032547111)*a^(6) - (145385313483918)/(389806032547111)*a^(5) - (347219082542606)/(389806032547111)*a^(4) - (230761203859648)/(389806032547111)*a^(3) - (176645514593842)/(389806032547111)*a^(2) + (179451711879231)/(389806032547111)*a - (78778469808943)/(389806032547111) , (27420792616)/(12574388146681)*a^(15) - (4677572248431)/(389806032547111)*a^(14) + (1344104561487)/(389806032547111)*a^(13) - (34957624163382)/(389806032547111)*a^(12) - (92592126962)/(12574388146681)*a^(11) - (114240738540235)/(389806032547111)*a^(10) - (37745165291933)/(389806032547111)*a^(9) - (119147758863189)/(389806032547111)*a^(8) + (82816398100794)/(389806032547111)*a^(7) + (149615913257899)/(389806032547111)*a^(6) + (349251987884487)/(389806032547111)*a^(5) + (338712498668941)/(389806032547111)*a^(4) + (670569703804824)/(389806032547111)*a^(3) - (487504618423694)/(389806032547111)*a^(2) - (1474481595963668)/(389806032547111)*a - (1360831277051482)/(389806032547111) ], 11660.355671, [[x^2 - 2, 1], [x^4 - x^2 - 2*x + 1, 1], [x^8 - x^4 - 2*x^2 + 1, 1]]]