/* 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 + 2*x^12 - 32*x^11 - 32*x^10 - 20*x^9 - 75*x^8 - 40*x^7 - 128*x^6 - 256*x^5 + 32*x^4 - 128*x^3 - 512*x^2 + 256, 16, 1862, [4, 6], 47009627709670400000000, [2, 5, 89, 379], [1, a, a^2, 1/2*a^3 - 1/2*a, 1/2*a^4 - 1/2*a^2, 1/2*a^5 - 1/2*a, 1/4*a^6 - 1/4*a^2, 1/4*a^7 - 1/4*a^3, 1/8*a^8 - 1/8*a^6 - 1/8*a^4 - 3/8*a^2 - 1/2, 1/8*a^9 - 1/8*a^7 - 1/8*a^5 + 1/8*a^3, 1/8*a^10 + 3/8*a^2 - 1/2, 1/16*a^11 - 1/8*a^7 - 1/4*a^5 + 1/16*a^3 + 1/4*a, 1/64*a^12 - 1/16*a^9 + 1/32*a^8 + 3/16*a^5 + 5/64*a^4 - 1/8*a^3 + 3/8*a^2 - 1/2*a + 1/4, 1/128*a^13 - 1/32*a^10 + 1/64*a^9 + 3/32*a^6 + 5/128*a^5 - 1/16*a^4 + 3/16*a^3 + 1/4*a^2 + 1/8*a, 1/512*a^14 - 1/128*a^12 - 1/128*a^11 - 7/256*a^10 + 1/32*a^9 - 3/64*a^8 - 5/128*a^7 + 21/512*a^6 + 9/64*a^5 - 27/128*a^4 + 3/16*a^3 - 5/32*a^2 + 3/8, 1/1024*a^15 - 1/256*a^13 - 1/256*a^12 - 7/512*a^11 - 3/64*a^10 + 5/128*a^9 + 11/256*a^8 - 43/1024*a^7 - 15/128*a^6 + 21/256*a^5 + 1/32*a^4 - 1/64*a^3 + 1/4*a^2 + 7/16*a], 0, 2, [2], 0, [ (3)/(32)*a^(15) - (31)/(256)*a^(14) - (77)/(128)*a^(13) + (27)/(64)*a^(12) - (21)/(64)*a^(11) - (339)/(128)*a^(10) + (31)/(64)*a^(9) - (75)/(32)*a^(8) - (255)/(64)*a^(7) + (445)/(256)*a^(6) - (1805)/(128)*a^(5) - (355)/(64)*a^(4) + (181)/(16)*a^(3) - (425)/(16)*a^(2) - (109)/(8)*a + (75)/(4) , (85)/(1024)*a^(15) - (33)/(256)*a^(14) - (121)/(256)*a^(13) + (103)/(256)*a^(12) - (203)/(512)*a^(11) - (255)/(128)*a^(10) + (61)/(128)*a^(9) - (561)/(256)*a^(8) - (2679)/(1024)*a^(7) + (261)/(256)*a^(6) - (3011)/(256)*a^(5) - (181)/(64)*a^(4) + (515)/(64)*a^(3) - (347)/(16)*a^(2) - (137)/(16)*a + (59)/(4) , (9)/(1024)*a^(15) - (21)/(512)*a^(14) + (5)/(256)*a^(13) + (33)/(256)*a^(12) - (139)/(512)*a^(11) + (47)/(256)*a^(10) + (39)/(128)*a^(9) - (161)/(256)*a^(8) + (1093)/(1024)*a^(7) - (133)/(512)*a^(6) - (177)/(256)*a^(5) + (483)/(128)*a^(4) - (133)/(64)*a^(3) - (15)/(32)*a^(2) + (81)/(16)*a - (15)/(8) , (39)/(256)*a^(15) - (135)/(512)*a^(14) - (101)/(128)*a^(13) + (105)/(128)*a^(12) - (65)/(64)*a^(11) - (839)/(256)*a^(10) + (65)/(64)*a^(9) - (151)/(32)*a^(8) - (935)/(256)*a^(7) + (525)/(512)*a^(6) - (2795)/(128)*a^(5) - (171)/(128)*a^(4) + (39)/(4)*a^(3) - (1257)/(32)*a^(2) - (87)/(8)*a + (167)/(8) , (45)/(1024)*a^(15) - (23)/(512)*a^(14) - (79)/(256)*a^(13) + (41)/(256)*a^(12) - (31)/(512)*a^(11) - (371)/(256)*a^(10) + (3)/(128)*a^(9) - (269)/(256)*a^(8) - (2935)/(1024)*a^(7) + (289)/(512)*a^(6) - (1845)/(256)*a^(5) - (643)/(128)*a^(4) + (419)/(64)*a^(3) - (433)/(32)*a^(2) - (143)/(16)*a + (99)/(8) , (15)/(1024)*a^(15) - (1)/(512)*a^(14) - (37)/(256)*a^(13) + (7)/(256)*a^(12) + (59)/(512)*a^(11) - (181)/(256)*a^(10) + (9)/(128)*a^(9) - (7)/(256)*a^(8) - (1501)/(1024)*a^(7) + (663)/(512)*a^(6) - (679)/(256)*a^(5) - (303)/(128)*a^(4) + (317)/(64)*a^(3) - (183)/(32)*a^(2) - (57)/(16)*a + (47)/(8) , (5)/(128)*a^(15) - (5)/(128)*a^(14) - (31)/(128)*a^(13) + (3)/(64)*a^(12) - (13)/(64)*a^(11) - (63)/(64)*a^(10) - (3)/(64)*a^(9) - a^(8) - (211)/(128)*a^(7) - (5)/(128)*a^(6) - (707)/(128)*a^(5) - (215)/(64)*a^(4) + (11)/(4)*a^(3) - (17)/(2)*a^(2) - (37)/(8)*a + (25)/(4) , (37)/(512)*a^(15) - (49)/(512)*a^(14) - (29)/(64)*a^(13) + (5)/(16)*a^(12) - (65)/(256)*a^(11) - (505)/(256)*a^(10) + (9)/(32)*a^(9) - (235)/(128)*a^(8) - (1571)/(512)*a^(7) + (563)/(512)*a^(6) - (681)/(64)*a^(5) - (537)/(128)*a^(4) + (271)/(32)*a^(3) - (643)/(32)*a^(2) - (43)/(4)*a + (113)/(8) , (1)/(128)*a^(14) - (1)/(16)*a^(12) - (1)/(32)*a^(11) + (1)/(64)*a^(10) - (1)/(4)*a^(9) - (1)/(4)*a^(8) - (5)/(32)*a^(7) - (75)/(128)*a^(6) - (5)/(16)*a^(5) - a^(4) - 2*a^(3) - (1)/(4)*a^(2) - a - (5)/(2) ], 94303.1104658, [[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]]]