/* 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^15 + 28*x^14 - 56*x^13 + 70*x^12 - 56*x^11 + 20*x^10 + 32*x^9 - 70*x^8 + 44*x^7 - 6*x^6 + 32*x^5 - 21*x^4 - 40*x^3 + 18*x^2 + 12*x + 1, 16, 1553, [8, 4], 273390887084557860864, [2, 3, 17, 97], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/3*a^10 + 1/3*a^9 + 1/3*a^8 - 1/3*a^7 - 1/3*a^6 - 1/3*a^5 + 1/3, 1/3*a^11 + 1/3*a^8 + 1/3*a^5 + 1/3*a - 1/3, 1/9*a^12 + 1/9*a^10 - 4/9*a^9 + 1/9*a^8 - 4/9*a^7 - 1/9*a^5 - 1/3*a^4 - 1/3*a^3 - 2/9*a^2 + 2/9*a + 1/9, 1/9*a^13 + 1/9*a^11 - 1/9*a^10 + 4/9*a^9 - 1/9*a^8 - 1/3*a^7 - 4/9*a^6 + 1/3*a^5 - 1/3*a^4 - 2/9*a^3 + 2/9*a^2 + 1/9*a + 1/3, 1/27*a^14 - 1/27*a^13 - 1/27*a^12 + 4/27*a^11 + 1/9*a^10 + 1/9*a^9 + 2/27*a^8 + 7/27*a^7 - 11/27*a^6 + 11/27*a^5 - 2/27*a^4 + 1/27*a^3 + 1/9*a^2 + 4/27*a + 7/27, 1/1917*a^15 + 28/1917*a^14 + 14/639*a^13 - 106/1917*a^12 - 196/1917*a^11 - 25/213*a^10 - 838/1917*a^9 - 529/1917*a^8 + 208/639*a^7 + 214/1917*a^6 + 740/1917*a^5 + 134/639*a^4 - 814/1917*a^3 - 305/1917*a^2 + 251/639*a + 779/1917], 0, 1, [], 0, [ (109)/(1917)*a^(15) - (95)/(639)*a^(14) - (1031)/(1917)*a^(13) + (2089)/(639)*a^(12) - (13625)/(1917)*a^(11) + (1819)/(213)*a^(10) - (12319)/(1917)*a^(9) + (118)/(71)*a^(8) + (12920)/(1917)*a^(7) - (7892)/(639)*a^(6) + (3646)/(639)*a^(5) - (2545)/(1917)*a^(4) + (14650)/(1917)*a^(3) - (17)/(1917)*a^(2) - (13489)/(1917)*a + (634)/(1917) , (109)/(1917)*a^(15) - (50)/(71)*a^(14) + (6424)/(1917)*a^(13) - (612)/(71)*a^(12) + (26206)/(1917)*a^(11) - (9098)/(639)*a^(10) + (18566)/(1917)*a^(9) - (571)/(639)*a^(8) - (19243)/(1917)*a^(7) + (906)/(71)*a^(6) - (3170)/(639)*a^(5) + (9809)/(1917)*a^(4) - (17726)/(1917)*a^(3) - (5981)/(1917)*a^(2) + (11219)/(1917)*a + (1912)/(1917) , (4)/(639)*a^(15) + (265)/(1917)*a^(14) - (2194)/(1917)*a^(13) + (7106)/(1917)*a^(12) - (13073)/(1917)*a^(11) + (1759)/(213)*a^(10) - (4772)/(639)*a^(9) + (8420)/(1917)*a^(8) + (3157)/(1917)*a^(7) - (10496)/(1917)*a^(6) + (4904)/(1917)*a^(5) - (5897)/(1917)*a^(4) + (12952)/(1917)*a^(3) + (271)/(639)*a^(2) - (6158)/(1917)*a - (2651)/(1917) , (4)/(639)*a^(15) - (445)/(1917)*a^(14) + (2776)/(1917)*a^(13) - (8159)/(1917)*a^(12) + (13907)/(1917)*a^(11) - (1649)/(213)*a^(10) + (377)/(71)*a^(9) - (1733)/(1917)*a^(8) - (9481)/(1917)*a^(7) + (13502)/(1917)*a^(6) - (3545)/(1917)*a^(5) + (1913)/(1917)*a^(4) - (11614)/(1917)*a^(3) + (271)/(639)*a^(2) + (8042)/(1917)*a + (1325)/(1917) , (587)/(1917)*a^(15) - (1361)/(639)*a^(14) + (12371)/(1917)*a^(13) - (7085)/(639)*a^(12) + (22475)/(1917)*a^(11) - (537)/(71)*a^(10) - (302)/(1917)*a^(9) + (6850)/(639)*a^(8) - (28472)/(1917)*a^(7) + (1288)/(213)*a^(6) - (2011)/(639)*a^(5) + (16939)/(1917)*a^(4) + (4343)/(1917)*a^(3) - (15451)/(1917)*a^(2) - (674)/(1917)*a + (1808)/(1917) , (95)/(213)*a^(15) - (1960)/(639)*a^(14) + (1931)/(213)*a^(13) - (9478)/(639)*a^(12) + (9034)/(639)*a^(11) - (4414)/(639)*a^(10) - (2471)/(639)*a^(9) + (3634)/(213)*a^(8) - (12440)/(639)*a^(7) + (734)/(213)*a^(6) + (27)/(71)*a^(5) + (6650)/(639)*a^(4) + (3943)/(639)*a^(3) - (8896)/(639)*a^(2) - (175)/(213)*a + (126)/(71) , (734)/(1917)*a^(15) - (5860)/(1917)*a^(14) + (771)/(71)*a^(13) - (43298)/(1917)*a^(12) + (58486)/(1917)*a^(11) - (18059)/(639)*a^(10) + (30511)/(1917)*a^(9) + (9172)/(1917)*a^(8) - (14320)/(639)*a^(7) + (35453)/(1917)*a^(6) - (14900)/(1917)*a^(5) + (9464)/(639)*a^(4) - (21311)/(1917)*a^(3) - (16408)/(1917)*a^(2) + (5314)/(639)*a + (733)/(1917) , (268)/(1917)*a^(15) - (2933)/(1917)*a^(14) + (480)/(71)*a^(13) - (31603)/(1917)*a^(12) + (47795)/(1917)*a^(11) - (15769)/(639)*a^(10) + (29525)/(1917)*a^(9) + (1790)/(1917)*a^(8) - (12416)/(639)*a^(7) + (40951)/(1917)*a^(6) - (11485)/(1917)*a^(5) + (1723)/(213)*a^(4) - (28369)/(1917)*a^(3) - (13154)/(1917)*a^(2) + (7273)/(639)*a + (5783)/(1917) , (197)/(639)*a^(15) - (3403)/(1917)*a^(14) + (7285)/(1917)*a^(13) - (4994)/(1917)*a^(12) - (6922)/(1917)*a^(11) + (684)/(71)*a^(10) - (7963)/(639)*a^(9) + (25534)/(1917)*a^(8) - (6664)/(1917)*a^(7) - (23620)/(1917)*a^(6) + (8287)/(1917)*a^(5) + (12299)/(1917)*a^(4) + (28280)/(1917)*a^(3) - (5557)/(639)*a^(2) - (20524)/(1917)*a - (1324)/(1917) , (613)/(1917)*a^(15) - (3994)/(1917)*a^(14) + (11120)/(1917)*a^(13) - (16982)/(1917)*a^(12) + (5012)/(639)*a^(11) - (2381)/(639)*a^(10) - (3985)/(1917)*a^(9) + (18085)/(1917)*a^(8) - (17999)/(1917)*a^(7) - (310)/(1917)*a^(6) - (4046)/(1917)*a^(5) + (16528)/(1917)*a^(4) + (3836)/(639)*a^(3) - (13370)/(1917)*a^(2) - (7082)/(1917)*a - (527)/(639) , (734)/(1917)*a^(15) - (5150)/(1917)*a^(14) + (15847)/(1917)*a^(13) - (28033)/(1917)*a^(12) + (10502)/(639)*a^(11) - (7835)/(639)*a^(10) + (6016)/(1917)*a^(9) + (19325)/(1917)*a^(8) - (30322)/(1917)*a^(7) + (11455)/(1917)*a^(6) - (6451)/(1917)*a^(5) + (20582)/(1917)*a^(4) + (1085)/(639)*a^(3) - (14491)/(1917)*a^(2) - (2092)/(1917)*a - (442)/(639) ], 15487.1799506, [[x^2 - 2, 1], [x^4 - 6*x^2 - 4*x + 2, 1], [x^8 - 2*x^6 - 8*x^5 + 10*x^4 + 16*x^3 - 28*x^2 + 8*x + 4, 1]]]