/* 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 - 4*x^14 + 13*x^13 - 13*x^12 + 49*x^11 + 132*x^10 - 637*x^9 + 381*x^8 + 2548*x^7 + 2112*x^6 - 3136*x^5 - 3328*x^4 - 13312*x^3 - 16384*x^2 + 16384*x + 65536, 16, 2, [0, 8], 11173814592383056640625, [3, 5, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/4*a^9 - 1/4*a^8 + 1/4*a^6 - 1/4*a^5 + 1/4*a^4 - 1/4*a^2 + 1/4*a, 1/464*a^10 - 1/16*a^9 - 1/2*a^8 + 1/16*a^7 + 3/16*a^6 - 51/464*a^5 - 1/2*a^4 - 1/16*a^3 - 3/16*a^2 - 1/2*a - 6/29, 1/1856*a^11 - 1/1856*a^10 - 1/16*a^9 - 31/64*a^8 + 15/64*a^7 + 65/1856*a^6 - 67/464*a^5 - 17/64*a^4 - 31/64*a^3 - 3/16*a^2 - 35/116*a - 13/29, 1/37120*a^12 - 1/7424*a^11 + 1/1280*a^9 + 79/256*a^8 - 799/7424*a^7 - 1/580*a^6 - 61/256*a^5 - 31/256*a^4 + 1/5*a^3 - 181/464*a^2 - 13/116*a - 1/5, 1/333337600*a^13 + 691/333337600*a^12 + 2003/8333440*a^11 - 83571/333337600*a^10 + 484611/11494400*a^9 + 7349657/66667520*a^8 + 300577/41667200*a^7 - 31071229/333337600*a^6 - 11763643/66667520*a^5 - 417823/1436800*a^4 - 2359949/5208400*a^3 - 40157/520840*a^2 + 269351/1302100*a + 6199/325525, 1/1333350400*a^14 - 1/1333350400*a^13 - 733/333337600*a^12 - 30211/1333350400*a^11 + 44851/1333350400*a^10 + 73158017/1333350400*a^9 + 108074349/333337600*a^8 + 309809299/1333350400*a^7 + 569216573/1333350400*a^6 - 56562839/333337600*a^5 + 9440161/83334400*a^4 + 3961379/10416800*a^3 + 190861/5208400*a^2 - 198599/1302100*a - 104832/325525, 1/5333401600*a^15 - 1/5333401600*a^14 - 1/1333350400*a^13 - 18483/5333401600*a^12 + 437811/5333401600*a^11 + 3751729/5333401600*a^10 - 35986863/1333350400*a^9 + 1782429379/5333401600*a^8 + 2062447421/5333401600*a^7 - 570676547/1333350400*a^6 + 10694327/41667200*a^5 + 16746493/41667200*a^4 - 536557/1302100*a^3 + 979683/2604200*a^2 + 312751/1302100*a - 120538/325525], 1, 6, [6], 1, [ (1)/(1041680)*a^(15) - (1309)/(83334400)*a^(14) + (1)/(325525)*a^(13) + (13)/(1041680)*a^(12) + (79)/(5208400)*a^(11) + (969)/(5208400)*a^(10) - (24557)/(16666880)*a^(9) - (4209)/(5208400)*a^(8) + (13621)/(5208400)*a^(7) + (1569)/(260420)*a^(6) + (404)/(325525)*a^(5) - (13741701)/(83334400)*a^(4) - (208)/(13021)*a^(3) - (11584)/(325525)*a^(2) + (812569)/(1302100)*a + (1024)/(13021) , (7589)/(1333350400)*a^(15) + (3953)/(333337600)*a^(14) - (126881)/(1333350400)*a^(13) + (78177)/(1333350400)*a^(12) + (115297)/(333337600)*a^(11) - (220741)/(333337600)*a^(10) + (2951553)/(1333350400)*a^(9) - (6069713)/(1333350400)*a^(8) - (4899729)/(333337600)*a^(7) + (75881117)/(1333350400)*a^(6) + (559317)/(20833600)*a^(5) - (11236469)/(83334400)*a^(4) - (3888833)/(20833600)*a^(3) + (18772)/(325525)*a^(2) - (30356)/(325525)*a + (204101)/(325525) , (701)/(36782080)*a^(15) - (257521)/(5333401600)*a^(14) + (1)/(325525)*a^(13) + (280661)/(1066680320)*a^(12) - (3413309)/(5333401600)*a^(11) + (370389)/(183910400)*a^(10) - (9113)/(16666880)*a^(9) - (60854361)/(5333401600)*a^(8) + (140685229)/(5333401600)*a^(7) + (10137)/(1041680)*a^(6) + (70801)/(2873600)*a^(5) - (8722401)/(83334400)*a^(4) + (95329)/(1041680)*a^(3) - (2135149)/(5208400)*a^(2) + (426469)/(1302100)*a - (356)/(2245) , (14257)/(1333350400)*a^(15) + (5861)/(333337600)*a^(14) - (98657)/(1333350400)*a^(13) + (71009)/(1333350400)*a^(12) + (54689)/(333337600)*a^(11) - (37451)/(166668800)*a^(10) + (5030801)/(1333350400)*a^(9) - (5140881)/(1333350400)*a^(8) - (5728913)/(333337600)*a^(7) + (69944989)/(1333350400)*a^(6) + (26621339)/(333337600)*a^(5) + (148577)/(5208400)*a^(4) + (120929)/(1302100)*a^(3) - (711351)/(5208400)*a^(2) - (949353)/(1302100)*a - (126544)/(325525) , (39359)/(5333401600)*a^(15) - (141987)/(5333401600)*a^(14) - (3097)/(666675200)*a^(13) + (799411)/(5333401600)*a^(12) - (61107)/(183910400)*a^(11) + (3753011)/(5333401600)*a^(10) - (736367)/(666675200)*a^(9) - (23952707)/(5333401600)*a^(8) + (104675479)/(5333401600)*a^(7) - (505927)/(22988800)*a^(6) + (894303)/(83334400)*a^(5) - (5814771)/(83334400)*a^(4) + (115111)/(5208400)*a^(3) - (514299)/(2604200)*a^(2) + (10251)/(44900)*a - (1244)/(65105) , (6643)/(1066680320)*a^(15) - (122083)/(5333401600)*a^(14) + (9191)/(666675200)*a^(13) + (415411)/(5333401600)*a^(12) - (2351687)/(5333401600)*a^(11) + (6327347)/(5333401600)*a^(10) - (96727)/(666675200)*a^(9) - (30213443)/(5333401600)*a^(8) + (86961303)/(5333401600)*a^(7) - (16522763)/(666675200)*a^(6) + (839007)/(83334400)*a^(5) + (644787)/(20833600)*a^(4) + (246951)/(5208400)*a^(3) - (1206647)/(5208400)*a^(2) - (53183)/(325525)*a + (160419)/(325525) , (76227)/(2666700800)*a^(15) + (76457)/(2666700800)*a^(14) - (35773)/(333337600)*a^(13) + (613319)/(2666700800)*a^(12) + (490933)/(2666700800)*a^(11) + (2773799)/(2666700800)*a^(10) + (2375057)/(333337600)*a^(9) - (22579223)/(2666700800)*a^(8) - (41524389)/(2666700800)*a^(7) + (25949193)/(333337600)*a^(6) + (16213259)/(83334400)*a^(5) + (18910397)/(83334400)*a^(4) + (483819)/(2604200)*a^(3) - (1161069)/(5208400)*a^(2) - (390107)/(325525)*a - (530637)/(325525) ], 38248.3956886, [[x^2 - x + 1, 1], [x^2 - x + 64, 1], [x^2 - x - 21, 1], [x^2 - x - 1, 1], [x^2 - x + 4, 1], [x^2 - x + 13, 1], [x^2 - x - 4, 1], [x^4 - x^3 + 22*x^2 + 21*x + 441, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 - x^3 + 5*x^2 + 4*x + 16, 1], [x^4 + 23*x^2 + 196, 1], [x^4 - x^2 + 64, 1], [x^4 - 11*x^2 + 9, 1], [x^4 - x^3 - 2*x^2 + 33*x + 69, 1], [x^4 - x^3 - 64*x^2 + 64*x + 781, 1], [x^4 - x^3 + 21*x^2 - 21*x + 101, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^8 + 11*x^6 + 112*x^4 + 99*x^2 + 81, 1], [x^8 - x^7 - 20*x^6 + 21*x^5 + 319*x^4 - 239*x^3 - 1680*x^2 - 2121*x + 10201, 1], [x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, 1], [x^8 - x^7 - 12*x^6 + 25*x^5 + 131*x^4 + 325*x^3 - 2028*x^2 - 2197*x + 28561, 1], [x^8 - x^7 + 28*x^6 - 15*x^5 + 211*x^4 + 85*x^3 + 372*x^2 + 543*x + 1021, 1], [x^8 - 2*x^7 - 24*x^6 + 34*x^5 + 149*x^4 - 178*x^3 - 161*x^2 + 231*x - 59, 1], [x^8 - x^7 + 5*x^6 - 9*x^5 + 29*x^4 + 36*x^3 + 80*x^2 + 64*x + 256, 1]]]