/* 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 - 6*x^15 + 22*x^14 - 64*x^13 + 152*x^12 - 308*x^11 + 554*x^10 - 876*x^9 + 1200*x^8 - 1412*x^7 + 1384*x^6 - 1086*x^5 + 660*x^4 - 290*x^3 + 84*x^2 - 14*x + 1, 16, 1683, [0, 8], 4745793514216882176, [2, 3, 7, 37], [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, 1/5800393*a^15 + 2760066/5800393*a^14 - 64134/5800393*a^13 + 1935862/5800393*a^12 - 515629/5800393*a^11 - 339902/5800393*a^10 + 1571430/5800393*a^9 - 1324845/5800393*a^8 - 1233759/5800393*a^7 + 2048415/5800393*a^6 + 2221518/5800393*a^5 + 25698/252191*a^4 + 2666084/5800393*a^3 + 2224203/5800393*a^2 - 1516710/5800393*a + 1830861/5800393], 0, 1, [], 0, [ (1393774)/(141473)*a^(15) - (8185737)/(141473)*a^(14) + (29566461)/(141473)*a^(13) - (85142176)/(141473)*a^(12) + (199997879)/(141473)*a^(11) - (400972247)/(141473)*a^(10) + (714646199)/(141473)*a^(9) - (1117412292)/(141473)*a^(8) + (1508423561)/(141473)*a^(7) - (1742945602)/(141473)*a^(6) + (1664394328)/(141473)*a^(5) - (54554306)/(6151)*a^(4) + (718460750)/(141473)*a^(3) - (284498326)/(141473)*a^(2) + (66776998)/(141473)*a - (6694747)/(141473) , (70005303)/(5800393)*a^(15) - (395580070)/(5800393)*a^(14) + (1402389045)/(5800393)*a^(13) - (3993061525)/(5800393)*a^(12) + (9255147735)/(5800393)*a^(11) - (18354340644)/(5800393)*a^(10) + (32430975955)/(5800393)*a^(9) - (50112521214)/(5800393)*a^(8) + (66704988925)/(5800393)*a^(7) - (75859116973)/(5800393)*a^(6) + (70797132785)/(5800393)*a^(5) - (2249947805)/(252191)*a^(4) + (28539163743)/(5800393)*a^(3) - (10614679973)/(5800393)*a^(2) + (2308013215)/(5800393)*a - (214591233)/(5800393) , (99032375)/(5800393)*a^(15) - (564109576)/(5800393)*a^(14) + (2007926833)/(5800393)*a^(13) - (5730985138)/(5800393)*a^(12) + (13321803101)/(5800393)*a^(11) - (26482232648)/(5800393)*a^(10) + (46879374742)/(5800393)*a^(9) - (72627276400)/(5800393)*a^(8) + (96975351399)/(5800393)*a^(7) - (110669804692)/(5800393)*a^(6) + (103817843472)/(5800393)*a^(5) - (3322421020)/(252191)*a^(4) + (42489944676)/(5800393)*a^(3) - (16035366118)/(5800393)*a^(2) + (3554639785)/(5800393)*a - (337086884)/(5800393) , (3647428)/(5800393)*a^(15) - (14280159)/(5800393)*a^(14) + (40504696)/(5800393)*a^(13) - (98349326)/(5800393)*a^(12) + (179586291)/(5800393)*a^(11) - (282091886)/(5800393)*a^(10) + (396464635)/(5800393)*a^(9) - (386968656)/(5800393)*a^(8) + (170386019)/(5800393)*a^(7) + (238422184)/(5800393)*a^(6) - (809298308)/(5800393)*a^(5) + (49457401)/(252191)*a^(4) - (960697000)/(5800393)*a^(3) + (561875236)/(5800393)*a^(2) - (145510313)/(5800393)*a + (16619717)/(5800393) , (214591233)/(5800393)*a^(15) - (1217542095)/(5800393)*a^(14) + (4325427056)/(5800393)*a^(13) - (12331449867)/(5800393)*a^(12) + (28624805891)/(5800393)*a^(11) - (56838952029)/(5800393)*a^(10) + (100529202438)/(5800393)*a^(9) - (155550944153)/(5800393)*a^(8) + (207396958386)/(5800393)*a^(7) - (236297832071)/(5800393)*a^(6) + (221135149499)/(5800393)*a^(5) - (7054302011)/(252191)*a^(4) + (89881414265)/(5800393)*a^(3) - (33692293827)/(5800393)*a^(2) + (7410983599)/(5800393)*a - (696264047)/(5800393) , (205482883)/(5800393)*a^(15) - (1178378140)/(5800393)*a^(14) + (4206759066)/(5800393)*a^(13) - (12028203505)/(5800393)*a^(12) + (28019158213)/(5800393)*a^(11) - (55790862160)/(5800393)*a^(10) + (98890023414)/(5800393)*a^(9) - (153483246481)/(5800393)*a^(8) + (205368222076)/(5800393)*a^(7) - (234914770555)/(5800393)*a^(6) + (221106231905)/(5800393)*a^(5) - (7106598827)/(252191)*a^(4) + (91340625265)/(5800393)*a^(3) - (34755144237)/(5800393)*a^(2) + (7763932688)/(5800393)*a - (741381934)/(5800393) , (83528747)/(5800393)*a^(15) - (477357984)/(5800393)*a^(14) + (1701015703)/(5800393)*a^(13) - (4858739519)/(5800393)*a^(12) + (11304434570)/(5800393)*a^(11) - (22486641845)/(5800393)*a^(10) + (39828631344)/(5800393)*a^(9) - (61752563204)/(5800393)*a^(8) + (82525768529)/(5800393)*a^(7) - (94276920355)/(5800393)*a^(6) + (88570899550)/(5800393)*a^(5) - (2840113608)/(252191)*a^(4) + (36425724391)/(5800393)*a^(3) - (13820947729)/(5800393)*a^(2) + (3089229482)/(5800393)*a - (307151251)/(5800393) ], 778.290501128, [[x^4 + 2*x^2 - 2*x + 1, 1], [x^8 - 2*x^7 + 6*x^5 - 4*x^4 - 2*x^3 + 6*x^2 + 2, 1]]]