/* 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 - 4*x^15 - x^14 + 13*x^13 + 2*x^12 - 8*x^11 - 13*x^10 + x^9 + 27*x^8 + x^7 - 13*x^6 - 8*x^5 + 2*x^4 + 13*x^3 - x^2 - 4*x + 1, 16, 1664, [8, 4], 11960209947718200609, [3, 7, 19, 43, 103], [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, 1/9*a^14 + 1/9*a^13 + 1/3*a^12 - 1/9*a^10 - 4/9*a^9 + 4/9*a^8 - 2/9*a^7 + 4/9*a^6 - 4/9*a^5 - 1/9*a^4 + 1/3*a^2 + 1/9*a + 1/9, 1/9*a^15 + 2/9*a^13 - 1/3*a^12 - 1/9*a^11 - 1/3*a^10 - 1/9*a^9 + 1/3*a^8 - 1/3*a^7 + 1/9*a^6 + 1/3*a^5 + 1/9*a^4 + 1/3*a^3 - 2/9*a^2 - 1/9], 0, 1, [], 1, [ (344)/(9)*a^(15) - 138*a^(14) - (833)/(9)*a^(13) + (1390)/(3)*a^(12) + (2311)/(9)*a^(11) - (641)/(3)*a^(10) - (5204)/(9)*a^(9) - (547)/(3)*a^(8) + (2899)/(3)*a^(7) + (3701)/(9)*a^(6) - (1051)/(3)*a^(5) - (3931)/(9)*a^(4) - (268)/(3)*a^(3) + (4190)/(9)*a^(2) + 140*a - (929)/(9) , (26)/(3)*a^(15) - 33*a^(14) - (41)/(3)*a^(13) + 104*a^(12) + (118)/(3)*a^(11) - 47*a^(10) - (377)/(3)*a^(9) - 21*a^(8) + 215*a^(7) + (179)/(3)*a^(6) - 74*a^(5) - (280)/(3)*a^(4) - 7*a^(3) + (305)/(3)*a^(2) + 19*a - (62)/(3) , (23)/(3)*a^(15) - 29*a^(14) - (38)/(3)*a^(13) + 91*a^(12) + (112)/(3)*a^(11) - 39*a^(10) - (338)/(3)*a^(9) - 22*a^(8) + 188*a^(7) + (176)/(3)*a^(6) - 61*a^(5) - (256)/(3)*a^(4) - 9*a^(3) + (266)/(3)*a^(2) + 19*a - (50)/(3) , (23)/(3)*a^(15) - 29*a^(14) - (38)/(3)*a^(13) + 91*a^(12) + (112)/(3)*a^(11) - 39*a^(10) - (338)/(3)*a^(9) - 22*a^(8) + 188*a^(7) + (176)/(3)*a^(6) - 61*a^(5) - (256)/(3)*a^(4) - 9*a^(3) + (266)/(3)*a^(2) + 19*a - (47)/(3) , (220)/(9)*a^(15) - (797)/(9)*a^(14) - (176)/(3)*a^(13) + 299*a^(12) + (1454)/(9)*a^(11) - (1285)/(9)*a^(10) - (3359)/(9)*a^(9) - (1034)/(9)*a^(8) + (5650)/(9)*a^(7) + (2342)/(9)*a^(6) - (2092)/(9)*a^(5) - 283*a^(4) - (170)/(3)*a^(3) + (2731)/(9)*a^(2) + (796)/(9)*a - 68 , 43*a^(15) - (1409)/(9)*a^(14) - (887)/(9)*a^(13) + (1561)/(3)*a^(12) + 275*a^(11) - (2146)/(9)*a^(10) - (5839)/(9)*a^(9) - (1721)/(9)*a^(8) + (9757)/(9)*a^(7) + (3940)/(9)*a^(6) - (3499)/(9)*a^(5) - (4414)/(9)*a^(4) - 91*a^(3) + (1558)/(3)*a^(2) + (1327)/(9)*a - (1022)/(9) , (29)/(3)*a^(15) - (328)/(9)*a^(14) - (154)/(9)*a^(13) + (353)/(3)*a^(12) + (142)/(3)*a^(11) - (509)/(9)*a^(10) - (1259)/(9)*a^(9) - (223)/(9)*a^(8) + (2186)/(9)*a^(7) + (629)/(9)*a^(6) - (803)/(9)*a^(5) - (935)/(9)*a^(4) - 8*a^(3) + (346)/(3)*a^(2) + (194)/(9)*a - (217)/(9) , (38)/(3)*a^(15) - (407)/(9)*a^(14) - (296)/(9)*a^(13) + (463)/(3)*a^(12) + (268)/(3)*a^(11) - (646)/(9)*a^(10) - (1699)/(9)*a^(9) - (602)/(9)*a^(8) + (2884)/(9)*a^(7) + (1294)/(9)*a^(6) - (1081)/(9)*a^(5) - (1270)/(9)*a^(4) - 34*a^(3) + 156*a^(2) + (448)/(9)*a - (323)/(9) , (250)/(9)*a^(15) - (920)/(9)*a^(14) - (176)/(3)*a^(13) + 334*a^(12) + (1496)/(9)*a^(11) - (1360)/(9)*a^(10) - (3734)/(9)*a^(9) - (977)/(9)*a^(8) + (6229)/(9)*a^(7) + (2366)/(9)*a^(6) - (2194)/(9)*a^(5) - 313*a^(4) - (146)/(3)*a^(3) + (2959)/(9)*a^(2) + (799)/(9)*a - 70 , (205)/(9)*a^(15) - (740)/(9)*a^(14) - (164)/(3)*a^(13) + 274*a^(12) + (1370)/(9)*a^(11) - (1081)/(9)*a^(10) - (3086)/(9)*a^(9) - (1013)/(9)*a^(8) + (5122)/(9)*a^(7) + (2213)/(9)*a^(6) - (1762)/(9)*a^(5) - 260*a^(4) - (170)/(3)*a^(3) + (2455)/(9)*a^(2) + (763)/(9)*a - 57 , (124)/(3)*a^(15) - (1346)/(9)*a^(14) - (890)/(9)*a^(13) + (1504)/(3)*a^(12) + (824)/(3)*a^(11) - (2074)/(9)*a^(10) - (5653)/(9)*a^(9) - (1775)/(9)*a^(8) + (9424)/(9)*a^(7) + (3961)/(9)*a^(6) - (3400)/(9)*a^(5) - (4285)/(9)*a^(4) - 97*a^(3) + (1514)/(3)*a^(2) + (1336)/(9)*a - (1007)/(9) ], 2853.11388035, [[x^4 - 4*x^2 - x + 1, 1], [x^8 - 4*x^7 + 6*x^6 - 4*x^5 - 3*x^4 + 8*x^3 - 3*x^2 - x + 1, 1], [x^8 - x^7 - x^6 + 2*x^5 - 5*x^4 + 2*x^3 - x^2 - x + 1, 1], [x^8 - 4*x^7 - x^6 + 15*x^5 - 3*x^4 - 16*x^3 + 4*x^2 + 4*x - 1, 1]]]