/* 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 - 3*x^14 + 8*x^13 - x^12 - 8*x^11 + 3*x^10 + 2*x^9 - 16*x^8 + 2*x^7 + 3*x^6 - 8*x^5 - x^4 + 8*x^3 - 3*x^2 - 2*x + 1, 16, 528, [4, 6], 2675972505600000000, [2, 3, 5, 71], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2, 1/2*a^11 - 1/2*a, 1/8*a^12 - 1/4*a^11 + 1/8*a^10 - 1/2*a^9 + 1/4*a^7 - 1/4*a^5 - 1/2*a^3 + 3/8*a^2 - 1/4*a + 3/8, 1/8*a^13 + 1/8*a^11 - 1/4*a^10 + 1/4*a^8 - 1/2*a^7 - 1/4*a^6 - 1/2*a^5 - 1/2*a^4 + 3/8*a^3 - 1/2*a^2 + 3/8*a - 1/4, 1/112*a^14 + 1/28*a^13 + 3/56*a^12 - 1/7*a^11 + 9/112*a^10 + 3/56*a^9 - 3/28*a^8 - 3/7*a^7 - 3/28*a^6 + 17/56*a^5 + 51/112*a^4 - 11/28*a^3 - 11/56*a^2 - 3/14*a - 13/112, 1/112*a^15 + 1/28*a^13 + 1/56*a^12 + 3/112*a^11 - 1/7*a^10 + 5/28*a^9 + 1/4*a^8 - 1/7*a^7 + 27/56*a^6 - 1/112*a^5 + 2/7*a^4 + 1/4*a^3 + 11/56*a^2 + 41/112*a + 19/56], 0, 1, [], 0, [ (1)/(2)*a^(15) - (4)/(7)*a^(14) - (16)/(7)*a^(13) + (151)/(56)*a^(12) + (67)/(28)*a^(11) - (225)/(56)*a^(10) - (13)/(14)*a^(9) + (6)/(7)*a^(8) - (205)/(28)*a^(7) - (36)/(7)*a^(6) + (23)/(28)*a^(5) - (29)/(7)*a^(4) - (33)/(14)*a^(3) + (109)/(56)*a^(2) + (27)/(28)*a - (67)/(56) , (67)/(56)*a^(15) - (53)/(28)*a^(14) - (233)/(56)*a^(13) + (51)/(7)*a^(12) + (3)/(2)*a^(11) - (201)/(28)*a^(10) - (3)/(7)*a^(9) + (41)/(28)*a^(8) - (128)/(7)*a^(7) - (69)/(14)*a^(6) - (87)/(56)*a^(5) - (35)/(4)*a^(4) - (299)/(56)*a^(3) + (101)/(14)*a^(2) - (23)/(14)*a - (10)/(7) , (19)/(28)*a^(15) - (17)/(28)*a^(14) - (45)/(14)*a^(13) + (69)/(28)*a^(12) + (19)/(4)*a^(11) - (57)/(14)*a^(10) - (71)/(14)*a^(9) + (23)/(7)*a^(8) - (143)/(14)*a^(7) - (141)/(14)*a^(6) + (5)/(28)*a^(5) - (17)/(4)*a^(4) - (109)/(14)*a^(3) + (127)/(28)*a^(2) + (67)/(28)*a - (18)/(7) , (67)/(56)*a^(15) - (53)/(28)*a^(14) - (233)/(56)*a^(13) + (51)/(7)*a^(12) + (3)/(2)*a^(11) - (201)/(28)*a^(10) - (3)/(7)*a^(9) + (41)/(28)*a^(8) - (128)/(7)*a^(7) - (69)/(14)*a^(6) - (87)/(56)*a^(5) - (35)/(4)*a^(4) - (299)/(56)*a^(3) + (101)/(14)*a^(2) - (9)/(14)*a - (10)/(7) , (9)/(7)*a^(15) - (261)/(112)*a^(14) - (213)/(56)*a^(13) + (237)/(28)*a^(12) - (41)/(56)*a^(11) - (719)/(112)*a^(10) + (13)/(56)*a^(9) + (5)/(7)*a^(8) - (489)/(28)*a^(7) - (47)/(14)*a^(6) - (155)/(56)*a^(5) - (919)/(112)*a^(4) - (271)/(56)*a^(3) + (187)/(28)*a^(2) - (27)/(56)*a - (221)/(112) , (9)/(7)*a^(15) - (261)/(112)*a^(14) - (213)/(56)*a^(13) + (237)/(28)*a^(12) - (41)/(56)*a^(11) - (719)/(112)*a^(10) + (13)/(56)*a^(9) + (5)/(7)*a^(8) - (489)/(28)*a^(7) - (47)/(14)*a^(6) - (155)/(56)*a^(5) - (919)/(112)*a^(4) - (271)/(56)*a^(3) + (187)/(28)*a^(2) - (27)/(56)*a - (109)/(112) , (39)/(28)*a^(15) - (241)/(112)*a^(14) - (289)/(56)*a^(13) + (35)/(4)*a^(12) + (153)/(56)*a^(11) - (1123)/(112)*a^(10) - (31)/(56)*a^(9) + (25)/(7)*a^(8) - (87)/(4)*a^(7) - (54)/(7)*a^(6) + (123)/(56)*a^(5) - (1083)/(112)*a^(4) - (347)/(56)*a^(3) + (283)/(28)*a^(2) + (5)/(8)*a - (417)/(112) , (11)/(28)*a^(15) - (31)/(112)*a^(14) - (121)/(56)*a^(13) + (13)/(8)*a^(12) + (195)/(56)*a^(11) - (451)/(112)*a^(10) - (101)/(56)*a^(9) + (43)/(14)*a^(8) - (17)/(2)*a^(7) - (87)/(14)*a^(6) + (207)/(56)*a^(5) - (453)/(112)*a^(4) - (263)/(56)*a^(3) + (265)/(56)*a^(2) + (11)/(8)*a - (193)/(112) , (33)/(56)*a^(15) - (113)/(112)*a^(14) - (27)/(14)*a^(13) + (31)/(8)*a^(12) + (9)/(56)*a^(11) - (365)/(112)*a^(10) - (15)/(56)*a^(9) + (3)/(28)*a^(8) - (13)/(2)*a^(7) - (25)/(7)*a^(6) - (11)/(28)*a^(5) - (403)/(112)*a^(4) - (13)/(7)*a^(3) + (79)/(56)*a^(2) + (17)/(8)*a - (195)/(112) ], 697.370024236, [[x^2 - x - 1, 1], [x^2 - 2, 1], [x^2 - 10, 1], [x^4 - 6*x^2 + 4, 1], [x^8 - 4*x^7 + 12*x^6 - 22*x^5 + 24*x^4 - 16*x^3 + 3*x^2 + 2*x - 1, 1], [x^8 - 2*x^7 - x^6 - 5*x^4 - x^2 - 2*x + 1, 1], [x^8 - 2*x^7 + x^6 - 6*x^5 - 2*x^4 + 18*x^3 - x^2 - 6*x + 1, 1]]]