/* 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 - 5*x^15 + 9*x^14 + 3*x^13 - 52*x^12 + 114*x^11 - 91*x^10 - 89*x^9 + 299*x^8 - 291*x^7 + 28*x^6 + 215*x^5 - 223*x^4 + 97*x^3 - 16*x^2 + x + 1, 16, 1771, [4, 6], 52401279790283203125, [3, 5, 179, 1021], [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, 1/386364509*a^15 - 39474325/386364509*a^14 + 162914685/386364509*a^13 + 48256188/386364509*a^12 - 18398309/386364509*a^11 + 164786933/386364509*a^10 + 66688799/386364509*a^9 - 23705760/386364509*a^8 + 97117643/386364509*a^7 - 145168194/386364509*a^6 - 85206071/386364509*a^5 - 88584030/386364509*a^4 + 40217823/386364509*a^3 + 166311228/386364509*a^2 + 34893589/386364509*a - 18978718/386364509], 0, 1, [], 0, [ (115825)/(922111)*a^(15) - (578604)/(922111)*a^(14) + (760733)/(922111)*a^(13) + (1347143)/(922111)*a^(12) - (6827478)/(922111)*a^(11) + (10262573)/(922111)*a^(10) + (450584)/(922111)*a^(9) - (23496180)/(922111)*a^(8) + (30997005)/(922111)*a^(7) - (3058201)/(922111)*a^(6) - (31037750)/(922111)*a^(5) + (28495590)/(922111)*a^(4) - (633947)/(922111)*a^(3) - (11460220)/(922111)*a^(2) + (3824917)/(922111)*a - (664782)/(922111) , (35168338)/(386364509)*a^(15) - (86633950)/(386364509)*a^(14) - (5897388)/(386364509)*a^(13) + (438066931)/(386364509)*a^(12) - (1033608322)/(386364509)*a^(11) + (377691674)/(386364509)*a^(10) + (1972372740)/(386364509)*a^(9) - (3729090387)/(386364509)*a^(8) + (744311262)/(386364509)*a^(7) + (4940095795)/(386364509)*a^(6) - (6659351685)/(386364509)*a^(5) + (905116619)/(386364509)*a^(4) + (4707463298)/(386364509)*a^(3) - (4639805456)/(386364509)*a^(2) + (1374005313)/(386364509)*a + (515334451)/(386364509) , (69037200)/(386364509)*a^(15) - (305716094)/(386364509)*a^(14) + (447697115)/(386364509)*a^(13) + (464151583)/(386364509)*a^(12) - (3301141007)/(386364509)*a^(11) + (5847220472)/(386364509)*a^(10) - (2716945324)/(386364509)*a^(9) - (7620666093)/(386364509)*a^(8) + (15068345031)/(386364509)*a^(7) - (8939122257)/(386364509)*a^(6) - (5142625578)/(386364509)*a^(5) + (10848502783)/(386364509)*a^(4) - (5767375609)/(386364509)*a^(3) + (554668543)/(386364509)*a^(2) + (14411430)/(386364509)*a + (227153164)/(386364509) , (13362337)/(386364509)*a^(15) - (155801126)/(386364509)*a^(14) + (324644515)/(386364509)*a^(13) + (126385986)/(386364509)*a^(12) - (1827104960)/(386364509)*a^(11) + (3922326413)/(386364509)*a^(10) - (1783578044)/(386364509)*a^(9) - (6115809033)/(386364509)*a^(8) + (12243433833)/(386364509)*a^(7) - (6221482014)/(386364509)*a^(6) - (6345465565)/(386364509)*a^(5) + (11034535591)/(386364509)*a^(4) - (4973087091)/(386364509)*a^(3) - (162026724)/(386364509)*a^(2) + (228634910)/(386364509)*a - (407513600)/(386364509) , (73670137)/(386364509)*a^(15) - (203504050)/(386364509)*a^(14) + (33139208)/(386364509)*a^(13) + (838069943)/(386364509)*a^(12) - (2156033469)/(386364509)*a^(11) + (1306458292)/(386364509)*a^(10) + (2816889417)/(386364509)*a^(9) - (5778861346)/(386364509)*a^(8) + (1450967775)/(386364509)*a^(7) + (5778181350)/(386364509)*a^(6) - (5473637679)/(386364509)*a^(5) - (1636607635)/(386364509)*a^(4) + (4702049981)/(386364509)*a^(3) - (1289333161)/(386364509)*a^(2) - (119351894)/(386364509)*a + (311818582)/(386364509) , (26315994)/(386364509)*a^(15) - (208170038)/(386364509)*a^(14) + (553472146)/(386364509)*a^(13) - (268871490)/(386364509)*a^(12) - (2127539413)/(386364509)*a^(11) + (6441157595)/(386364509)*a^(10) - (7270347129)/(386364509)*a^(9) - (2206207207)/(386364509)*a^(8) + (17174516798)/(386364509)*a^(7) - (19875816256)/(386364509)*a^(6) + (3679371885)/(386364509)*a^(5) + (12963210066)/(386364509)*a^(4) - (13697145543)/(386364509)*a^(3) + (5097720391)/(386364509)*a^(2) - (686113546)/(386364509)*a - (87344117)/(386364509) , (144225693)/(386364509)*a^(15) - (633877692)/(386364509)*a^(14) + (820697113)/(386364509)*a^(13) + (1209321694)/(386364509)*a^(12) - (6872398289)/(386364509)*a^(11) + (11226111710)/(386364509)*a^(10) - (3290667237)/(386364509)*a^(9) - (17328444649)/(386364509)*a^(8) + (29705885098)/(386364509)*a^(7) - (15434234849)/(386364509)*a^(6) - (10768657410)/(386364509)*a^(5) + (20694977836)/(386364509)*a^(4) - (12207684851)/(386364509)*a^(3) + (4209547456)/(386364509)*a^(2) - (1379839950)/(386364509)*a - (73565624)/(386364509) , (9664897)/(386364509)*a^(15) - (37221984)/(386364509)*a^(14) + (48597691)/(386364509)*a^(13) + (55976993)/(386364509)*a^(12) - (450753085)/(386364509)*a^(11) + (909990659)/(386364509)*a^(10) - (627815277)/(386364509)*a^(9) - (1120327756)/(386364509)*a^(8) + (3873780806)/(386364509)*a^(7) - (4701096724)/(386364509)*a^(6) + (1391792692)/(386364509)*a^(5) + (3885185023)/(386364509)*a^(4) - (5920158836)/(386364509)*a^(3) + (3303622158)/(386364509)*a^(2) - (340773934)/(386364509)*a - (31285278)/(386364509) , (159211345)/(386364509)*a^(15) - (727019525)/(386364509)*a^(14) + (1127186011)/(386364509)*a^(13) + (925331150)/(386364509)*a^(12) - (7814838357)/(386364509)*a^(11) + (14848952323)/(386364509)*a^(10) - (8641011923)/(386364509)*a^(9) - (16886755029)/(386364509)*a^(8) + (39983526062)/(386364509)*a^(7) - (31262156364)/(386364509)*a^(6) - (4481204597)/(386364509)*a^(5) + (29087813597)/(386364509)*a^(4) - (24655627152)/(386364509)*a^(3) + (9676124856)/(386364509)*a^(2) - (1992712977)/(386364509)*a + (173622775)/(386364509) ], 3051.12459213, [[x^2 - x - 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^8 - 3*x^7 + x^6 + x^5 - x^4 + 8*x^3 - 6*x^2 - x + 1, 1]]]