/* 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 + 10*x^14 - 17*x^13 + 11*x^12 + x^11 + 17*x^10 - 63*x^9 + 93*x^8 - 92*x^7 + 77*x^6 - 41*x^5 + x^4 + 7*x^3 + 5*x^2 - 6*x + 1, 16, 1561, [4, 6], 11901004345947265625, [5, 29, 41], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/5*a^12 - 1/5*a^11 - 2/5*a^10 - 2/5*a^9 + 1/5*a^7 - 2/5*a^6 - 1/5*a^5 + 2/5*a^3 - 2/5*a^2 + 1/5*a + 1/5, 1/5*a^13 + 2/5*a^11 + 1/5*a^10 - 2/5*a^9 + 1/5*a^8 - 1/5*a^7 + 2/5*a^6 - 1/5*a^5 + 2/5*a^4 - 1/5*a^2 + 2/5*a + 1/5, 1/5*a^14 - 2/5*a^11 + 2/5*a^10 - 1/5*a^8 - 2/5*a^6 - 1/5*a^5 + 1/5*a^2 - 1/5*a - 2/5, 1/18367205*a^15 - 1133476/18367205*a^14 - 640422/18367205*a^13 - 923961/18367205*a^12 + 7934149/18367205*a^11 + 2522264/18367205*a^10 + 120324/966695*a^9 + 2895879/18367205*a^8 + 9117196/18367205*a^7 - 514251/3673441*a^6 - 7440348/18367205*a^5 - 944529/18367205*a^4 + 5856208/18367205*a^3 - 6029107/18367205*a^2 + 453656/18367205*a - 1775899/18367205], 0, 1, [], 0, [ (850203)/(966695)*a^(15) - (2690604)/(966695)*a^(14) + (6313203)/(966695)*a^(13) - (9356828)/(966695)*a^(12) + (1871142)/(966695)*a^(11) + (2013989)/(966695)*a^(10) + (3166943)/(193339)*a^(9) - (39783508)/(966695)*a^(8) + (47507324)/(966695)*a^(7) - (8275235)/(193339)*a^(6) + (31863083)/(966695)*a^(5) - (8432904)/(966695)*a^(4) - (5687531)/(966695)*a^(3) + (1114039)/(966695)*a^(2) + (5014322)/(966695)*a - (1663896)/(966695) , (10712237)/(18367205)*a^(15) - (36969257)/(18367205)*a^(14) + (17805065)/(3673441)*a^(13) - (142432084)/(18367205)*a^(12) + (61697108)/(18367205)*a^(11) + (5482436)/(18367205)*a^(10) + (11120302)/(966695)*a^(9) - (558504633)/(18367205)*a^(8) + (739881671)/(18367205)*a^(7) - (718857833)/(18367205)*a^(6) + (623947047)/(18367205)*a^(5) - (64480714)/(3673441)*a^(4) + (49950877)/(18367205)*a^(3) - (14023094)/(18367205)*a^(2) + (60795808)/(18367205)*a - (29417636)/(18367205) , (710208)/(966695)*a^(15) - (2188827)/(966695)*a^(14) + (5096623)/(966695)*a^(13) - (7481091)/(966695)*a^(12) + (1163786)/(966695)*a^(11) + (1381264)/(966695)*a^(10) + (13779281)/(966695)*a^(9) - (6312311)/(193339)*a^(8) + (36842501)/(966695)*a^(7) - (33602548)/(966695)*a^(6) + (26425419)/(966695)*a^(5) - (6537734)/(966695)*a^(4) - (4837382)/(966695)*a^(3) + (763307)/(966695)*a^(2) + (2470627)/(966695)*a - (850203)/(966695) , (11687249)/(18367205)*a^(15) - (7723912)/(3673441)*a^(14) + (92411764)/(18367205)*a^(13) - (140823776)/(18367205)*a^(12) + (45433114)/(18367205)*a^(11) + (5002237)/(3673441)*a^(10) + (11132346)/(966695)*a^(9) - (580725561)/(18367205)*a^(8) + (145224919)/(3673441)*a^(7) - (132460778)/(3673441)*a^(6) + (517669994)/(18367205)*a^(5) - (185610342)/(18367205)*a^(4) - (73665027)/(18367205)*a^(3) + (53772338)/(18367205)*a^(2) + (50788547)/(18367205)*a - (20736459)/(18367205) , (12656808)/(18367205)*a^(15) - (45499879)/(18367205)*a^(14) + (109270742)/(18367205)*a^(13) - (173878156)/(18367205)*a^(12) + (74124013)/(18367205)*a^(11) + (36650564)/(18367205)*a^(10) + (11596862)/(966695)*a^(9) - (701234724)/(18367205)*a^(8) + (922034362)/(18367205)*a^(7) - (833974071)/(18367205)*a^(6) + (656575287)/(18367205)*a^(5) - (239483691)/(18367205)*a^(4) - (87757312)/(18367205)*a^(3) + (65889676)/(18367205)*a^(2) + (79628762)/(18367205)*a - (8865896)/(3673441) , (3891994)/(18367205)*a^(15) - (9759834)/(18367205)*a^(14) + (17666821)/(18367205)*a^(13) - (16416986)/(18367205)*a^(12) - (37798299)/(18367205)*a^(11) + (37521619)/(18367205)*a^(10) + (884109)/(193339)*a^(9) - (26004824)/(3673441)*a^(8) + (42670168)/(18367205)*a^(7) + (51591457)/(18367205)*a^(6) - (98452204)/(18367205)*a^(5) + (161001862)/(18367205)*a^(4) - (103995662)/(18367205)*a^(3) - (5115148)/(18367205)*a^(2) + (1810812)/(3673441)*a + (18742236)/(18367205) , (8427363)/(18367205)*a^(15) - (32827612)/(18367205)*a^(14) + (79420449)/(18367205)*a^(13) - (130835429)/(18367205)*a^(12) + (68799671)/(18367205)*a^(11) + (31633991)/(18367205)*a^(10) + (1485120)/(193339)*a^(9) - (509904834)/(18367205)*a^(8) + (702152037)/(18367205)*a^(7) - (129666388)/(3673441)*a^(6) + (497917361)/(18367205)*a^(5) - (203319407)/(18367205)*a^(4) - (94523123)/(18367205)*a^(3) + (85933877)/(18367205)*a^(2) + (37823111)/(18367205)*a - (8725784)/(3673441) , (3138267)/(18367205)*a^(15) - (6794711)/(18367205)*a^(14) + (8831569)/(18367205)*a^(13) - (1988796)/(18367205)*a^(12) - (49192554)/(18367205)*a^(11) + (36597216)/(18367205)*a^(10) + (4624456)/(966695)*a^(9) - (16183967)/(3673441)*a^(8) - (12056900)/(3673441)*a^(7) + (133742087)/(18367205)*a^(6) - (121896566)/(18367205)*a^(5) + (176165968)/(18367205)*a^(4) - (112438247)/(18367205)*a^(3) - (59469403)/(18367205)*a^(2) + (18533633)/(18367205)*a + (33336229)/(18367205) , (144589)/(966695)*a^(15) - (877912)/(966695)*a^(14) + (424834)/(193339)*a^(13) - (4114894)/(966695)*a^(12) + (3659633)/(966695)*a^(11) + (720593)/(966695)*a^(10) + (3448313)/(966695)*a^(9) - (14783943)/(966695)*a^(8) + (21895966)/(966695)*a^(7) - (23346673)/(966695)*a^(6) + (21121238)/(966695)*a^(5) - (2865583)/(193339)*a^(4) + (1574282)/(966695)*a^(3) - (975059)/(966695)*a^(2) + (1671583)/(966695)*a - (774577)/(966695) ], 1450.91838736, [[x^2 - x - 1, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^8 - 2*x^7 - 7*x^5 + 4*x^4 + 2*x^3 + 10*x^2 + 7*x + 1, 1]]]