/* 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 - x^15 - 3*x^14 + 3*x^13 - 4*x^12 + 30*x^11 - 40*x^10 + 29*x^9 - 69*x^8 + 64*x^7 - 33*x^6 + 35*x^5 - 12*x^4 + 20*x^3 - 4*x^2 + 4*x - 1, 16, 1823, [4, 6], 3605577469136328125, [5, 11, 59, 61, 2969], [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, 1/3529815479*a^15 - 1144806879/3529815479*a^14 + 137529479/3529815479*a^13 + 936288653/3529815479*a^12 + 1635758424/3529815479*a^11 + 1621259011/3529815479*a^10 + 1464314475/3529815479*a^9 - 1372362554/3529815479*a^8 + 1216923223/3529815479*a^7 + 1640691467/3529815479*a^6 + 88765126/3529815479*a^5 - 817692049/3529815479*a^4 - 1206038098/3529815479*a^3 - 16204290/3529815479*a^2 - 233265850/3529815479*a - 141987544/3529815479], 0, 1, [], 0, [ (364608107)/(3529815479)*a^(15) + (187736077)/(3529815479)*a^(14) - (1559936402)/(3529815479)*a^(13) - (386539262)/(3529815479)*a^(12) - (2344)/(3529815479)*a^(11) + (8175985723)/(3529815479)*a^(10) + (1597662013)/(3529815479)*a^(9) - (9664017559)/(3529815479)*a^(8) - (6209099615)/(3529815479)*a^(7) - (14716055546)/(3529815479)*a^(6) + (19419936525)/(3529815479)*a^(5) - (11364970331)/(3529815479)*a^(4) + (13578577634)/(3529815479)*a^(3) + (3765833086)/(3529815479)*a^(2) + (8644651688)/(3529815479)*a - (350671843)/(3529815479) , (607848093)/(3529815479)*a^(15) - (508025829)/(3529815479)*a^(14) - (1436134496)/(3529815479)*a^(13) + (1501220993)/(3529815479)*a^(12) - (3584383980)/(3529815479)*a^(11) + (18010473509)/(3529815479)*a^(10) - (23232214873)/(3529815479)*a^(9) + (26924020127)/(3529815479)*a^(8) - (46230779328)/(3529815479)*a^(7) + (36602383057)/(3529815479)*a^(6) - (37320762288)/(3529815479)*a^(5) + (23690826853)/(3529815479)*a^(4) - (2165902572)/(3529815479)*a^(3) + (12709194664)/(3529815479)*a^(2) - (2813006745)/(3529815479)*a + (3881196314)/(3529815479) , (1104844822)/(3529815479)*a^(15) - (650635810)/(3529815479)*a^(14) - (3678779684)/(3529815479)*a^(13) + (1679398130)/(3529815479)*a^(12) - (3257904936)/(3529815479)*a^(11) + (32280958640)/(3529815479)*a^(10) - (31172836253)/(3529815479)*a^(9) + (16723759758)/(3529815479)*a^(8) - (71253508369)/(3529815479)*a^(7) + (46286260376)/(3529815479)*a^(6) - (15119240023)/(3529815479)*a^(5) + (39348136466)/(3529815479)*a^(4) - (6720997176)/(3529815479)*a^(3) + (22917509973)/(3529815479)*a^(2) - (701451582)/(3529815479)*a + (2868632064)/(3529815479) , (9765740)/(3529815479)*a^(15) - (598722172)/(3529815479)*a^(14) - (6432645)/(3529815479)*a^(13) + (2248918116)/(3529815479)*a^(12) - (267549480)/(3529815479)*a^(11) + (782879985)/(3529815479)*a^(10) - (15220057460)/(3529815479)*a^(9) + (8715186400)/(3529815479)*a^(8) + (1279606652)/(3529815479)*a^(7) + (24334848301)/(3529815479)*a^(6) - (9063011496)/(3529815479)*a^(5) - (4055263241)/(3529815479)*a^(4) - (3901954716)/(3529815479)*a^(3) + (1804529928)/(3529815479)*a^(2) - (8394636081)/(3529815479)*a + (446857531)/(3529815479) , (48152428)/(3529815479)*a^(15) - (114760321)/(3529815479)*a^(14) - (259929342)/(3529815479)*a^(13) + (215456505)/(3529815479)*a^(12) + (503747519)/(3529815479)*a^(11) + (1945707039)/(3529815479)*a^(10) - (4769243386)/(3529815479)*a^(9) + (733186949)/(3529815479)*a^(8) - (5873979941)/(3529815479)*a^(7) + (13688228534)/(3529815479)*a^(6) - (4284526130)/(3529815479)*a^(5) + (5776813336)/(3529815479)*a^(4) - (8877740664)/(3529815479)*a^(3) + (3923378746)/(3529815479)*a^(2) - (2965870925)/(3529815479)*a - (665647093)/(3529815479) , (976857229)/(3529815479)*a^(15) - (582616366)/(3529815479)*a^(14) - (3350083053)/(3529815479)*a^(13) + (2164846127)/(3529815479)*a^(12) - (3164818259)/(3529815479)*a^(11) + (26273160682)/(3529815479)*a^(10) - (24709248234)/(3529815479)*a^(9) + (10060957301)/(3529815479)*a^(8) - (45885213159)/(3529815479)*a^(7) + (20876185494)/(3529815479)*a^(6) - (1156356560)/(3529815479)*a^(5) + (11613948870)/(3529815479)*a^(4) + (11012752873)/(3529815479)*a^(3) + (17316751056)/(3529815479)*a^(2) + (535366695)/(3529815479)*a + (6055435502)/(3529815479) , (2473836976)/(3529815479)*a^(15) - (1554296872)/(3529815479)*a^(14) - (7930851691)/(3529815479)*a^(13) + (4249549237)/(3529815479)*a^(12) - (8346381852)/(3529815479)*a^(11) + (72459163344)/(3529815479)*a^(10) - (73420105128)/(3529815479)*a^(9) + (44675526565)/(3529815479)*a^(8) - (157588316578)/(3529815479)*a^(7) + (105975151719)/(3529815479)*a^(6) - (40735432034)/(3529815479)*a^(5) + (72563428206)/(3529815479)*a^(4) - (10487818000)/(3529815479)*a^(3) + (47180895167)/(3529815479)*a^(2) + (979326569)/(3529815479)*a + (9136504019)/(3529815479) , (2424970657)/(3529815479)*a^(15) - (2879179669)/(3529815479)*a^(14) - (6910666753)/(3529815479)*a^(13) + (8910048307)/(3529815479)*a^(12) - (10861356980)/(3529815479)*a^(11) + (73613505730)/(3529815479)*a^(10) - (110019782907)/(3529815479)*a^(9) + (85640889133)/(3529815479)*a^(8) - (172303759682)/(3529815479)*a^(7) + (179621930280)/(3529815479)*a^(6) - (101364670784)/(3529815479)*a^(5) + (84195405299)/(3529815479)*a^(4) - (35636788572)/(3529815479)*a^(3) + (47678799607)/(3529815479)*a^(2) - (13417810334)/(3529815479)*a + (11250629852)/(3529815479) , (721086635)/(3529815479)*a^(15) - (1399272280)/(3529815479)*a^(14) - (1420705332)/(3529815479)*a^(13) + (4277422325)/(3529815479)*a^(12) - (5226541366)/(3529815479)*a^(11) + (24710028085)/(3529815479)*a^(10) - (49612122432)/(3529815479)*a^(9) + (47395582701)/(3529815479)*a^(8) - (64993888089)/(3529815479)*a^(7) + (87555772017)/(3529815479)*a^(6) - (54682326514)/(3529815479)*a^(5) + (25565005976)/(3529815479)*a^(4) - (18111543130)/(3529815479)*a^(3) + (5343868323)/(3529815479)*a^(2) - (1742319350)/(3529815479)*a + (2705386063)/(3529815479) ], 722.801377446, [[x^2 - x - 1, 1], [x^4 - x^3 + 2*x - 1, 1], [x^8 - x^7 + x^6 + 2*x^5 - 2*x^4 + 2*x^2 - x - 1, 1]]]