/* 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 - 4*x^14 - 4*x^13 - 4*x^12 + 22*x^11 + 20*x^10 + 38*x^9 - 17*x^8 - 148*x^7 - 40*x^6 - 82*x^5 + 6*x^4 - 36*x^3 - 4*x^2 - 8*x + 1, 16, 1862, [2, 7], -92962859291033600000000, [2, 5, 11, 379], [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, a^14, 1/18998799019629*a^15 + 273449867048/18998799019629*a^14 + 180796136771/1727163547239*a^13 - 2112964529197/6332933006543*a^12 - 5385188201308/18998799019629*a^11 - 1343411886143/6332933006543*a^10 - 254290606357/18998799019629*a^9 + 1359595501906/18998799019629*a^8 - 3681491027056/18998799019629*a^7 + 630018797086/1461446078433*a^6 - 58455421234/575721182413*a^5 + 711392423393/1461446078433*a^4 + 5903068291724/18998799019629*a^3 - 687704187569/1727163547239*a^2 - 1536210744677/18998799019629*a - 1709940518458/18998799019629], 0, 2, [2], 0, [ (11065283890)/(18998799019629)*a^(15) - (30571674160)/(18998799019629)*a^(14) + (380606168)/(1727163547239)*a^(13) - (19142137712)/(6332933006543)*a^(12) - (147730088806)/(18998799019629)*a^(11) - (4251962932)/(6332933006543)*a^(10) + (126709334690)/(18998799019629)*a^(9) + (493040555803)/(18998799019629)*a^(8) - (536162605216)/(18998799019629)*a^(7) + (9543301864)/(1461446078433)*a^(6) - (11527981058)/(575721182413)*a^(5) + (11914954142)/(1461446078433)*a^(4) - (140321557960)/(18998799019629)*a^(3) + (978627928)/(1727163547239)*a^(2) - (37783843244)/(18998799019629)*a - (11737617193309)/(18998799019629) , (8441106380)/(18998799019629)*a^(15) - (48447803408)/(18998799019629)*a^(14) + (1196843416)/(1727163547239)*a^(13) + (34489651082)/(6332933006543)*a^(12) + (256192134376)/(18998799019629)*a^(11) + (31532114370)/(6332933006543)*a^(10) - (72559767983)/(18998799019629)*a^(9) + (348052779086)/(18998799019629)*a^(8) - (1761724939952)/(18998799019629)*a^(7) - (4783690822)/(1461446078433)*a^(6) - (32189323722)/(575721182413)*a^(5) + (15901020100)/(1461446078433)*a^(4) - (409115127248)/(18998799019629)*a^(3) - (588844756)/(1727163547239)*a^(2) + (30647893941818)/(18998799019629)*a + (11065283890)/(18998799019629) , (2684589461105)/(18998799019629)*a^(15) - (1270450945631)/(18998799019629)*a^(14) - (1961319023945)/(1727163547239)*a^(13) - (7433141721576)/(6332933006543)*a^(12) - (14632492269665)/(18998799019629)*a^(11) + (17581329379290)/(6332933006543)*a^(10) + (151839068771563)/(18998799019629)*a^(9) + (125267679205985)/(18998799019629)*a^(8) + (43885841839111)/(18998799019629)*a^(7) - (42392395731142)/(1461446078433)*a^(6) - (20213474070412)/(575721182413)*a^(5) + (3059317593844)/(1461446078433)*a^(4) - (161541924556223)/(18998799019629)*a^(3) - (1829272773655)/(1727163547239)*a^(2) - (124722981222529)/(18998799019629)*a - (5660096292986)/(18998799019629) , (302516738699)/(18998799019629)*a^(15) + (8717222141644)/(18998799019629)*a^(14) - (2184901283339)/(1727163547239)*a^(13) - (10357893236664)/(6332933006543)*a^(12) - (17876720068490)/(18998799019629)*a^(11) - (5020004040505)/(6332933006543)*a^(10) + (224589141697873)/(18998799019629)*a^(9) + (106519820037011)/(18998799019629)*a^(8) + (239557348050643)/(18998799019629)*a^(7) - (25680412034395)/(1461446078433)*a^(6) - (40312138857873)/(575721182413)*a^(5) + (22255544648488)/(1461446078433)*a^(4) - (514600171985591)/(18998799019629)*a^(3) + (10187278235171)/(1727163547239)*a^(2) - (216877461018115)/(18998799019629)*a + (12438470448763)/(18998799019629) , (3073573736630)/(18998799019629)*a^(15) + (3127228916224)/(18998799019629)*a^(14) - (3188762999063)/(1727163547239)*a^(13) - (14002301257114)/(6332933006543)*a^(12) - (28291774354418)/(18998799019629)*a^(11) + (15589236123629)/(6332933006543)*a^(10) + (279996360113518)/(18998799019629)*a^(9) + (211322029154999)/(18998799019629)*a^(8) + (190048136845087)/(18998799019629)*a^(7) - (57283819880125)/(1461446078433)*a^(6) - (43708000920871)/(575721182413)*a^(5) + (4770081949504)/(1461446078433)*a^(4) - (498484848452471)/(18998799019629)*a^(3) + (1109285965283)/(1727163547239)*a^(2) - (235322877988015)/(18998799019629)*a + (13760149974355)/(18998799019629) , (962693636096)/(18998799019629)*a^(15) - (3822408897497)/(18998799019629)*a^(14) - (144670936250)/(1727163547239)*a^(13) + (2165711649120)/(6332933006543)*a^(12) + (11037040267843)/(18998799019629)*a^(11) + (11848795188080)/(6332933006543)*a^(10) - (18555115474040)/(18998799019629)*a^(9) - (37230167693149)/(18998799019629)*a^(8) - (128530202809274)/(18998799019629)*a^(7) - (12831941957344)/(1461446078433)*a^(6) + (8478568706081)/(575721182413)*a^(5) + (19798821209314)/(1461446078433)*a^(4) + (264889182317326)/(18998799019629)*a^(3) + (1365727578905)/(1727163547239)*a^(2) - (5028168254206)/(18998799019629)*a - (6603485088620)/(18998799019629) , (117348522185)/(487148692811)*a^(15) - (340076358741)/(487148692811)*a^(14) - (17341833025)/(44286244801)*a^(13) - (173063815600)/(487148692811)*a^(12) - (368072015961)/(487148692811)*a^(11) + (2747429285384)/(487148692811)*a^(10) - (169299393753)/(487148692811)*a^(9) + (3859756945115)/(487148692811)*a^(8) - (4303050601086)/(487148692811)*a^(7) - (13410707773982)/(487148692811)*a^(6) + (877560159316)/(44286244801)*a^(5) - (16277118335982)/(487148692811)*a^(4) + (5255233874623)/(487148692811)*a^(3) - (562098423495)/(44286244801)*a^(2) + (1965863845908)/(487148692811)*a - (856225011659)/(487148692811) , (301031830021)/(487148692811)*a^(15) - (601186999320)/(487148692811)*a^(14) - (109533843956)/(44286244801)*a^(13) - (1207876345430)/(487148692811)*a^(12) - (1215687625886)/(487148692811)*a^(11) + (6614679382874)/(487148692811)*a^(10) + (6024073258463)/(487148692811)*a^(9) + (11443619242491)/(487148692811)*a^(8) - (5072330497326)/(487148692811)*a^(7) - (44551724520770)/(487148692811)*a^(6) - (1092537996504)/(44286244801)*a^(5) - (24690175694454)/(487148692811)*a^(4) + (1816651054692)/(487148692811)*a^(3) - (985261767640)/(44286244801)*a^(2) - (1990394401310)/(487148692811)*a - (2709933432485)/(487148692811) ], 79578.2824131, [[x^2 - x - 1, 1], [x^8 - 2*x^7 - 12*x^6 + 16*x^5 + 52*x^4 - 26*x^3 - 80*x^2 - 24*x - 1, 1]]]