/* 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 - x^14 + 21*x^13 - 33*x^12 + 30*x^11 - x^10 - 30*x^9 - 33*x^8 - 21*x^7 + 220*x^6 - 47*x^5 - 135*x^4 - 38*x^3 - x^2 + 4*x + 1, 16, 22, [8, 4], 732780301186512843008, [2, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/101*a^13 - 19/101*a^12 + 20/101*a^11 - 21/101*a^10 - 42/101*a^9 + 25/101*a^8 + 35/101*a^7 - 27/101*a^6 + 48/101*a^5 + 43/101*a^4 + 27/101*a^3 - 10/101*a^2 - 11/101*a + 46/101, 1/101*a^14 - 38/101*a^12 - 45/101*a^11 - 37/101*a^10 + 35/101*a^9 + 5/101*a^8 + 32/101*a^7 + 40/101*a^6 + 46/101*a^5 + 36/101*a^4 - 2/101*a^3 + 1/101*a^2 + 39/101*a - 35/101, 1/4874751769*a^15 + 46136/48264869*a^14 + 287264/4874751769*a^13 - 243649810/4874751769*a^12 + 173049271/4874751769*a^11 + 161655478/4874751769*a^10 - 2381238526/4874751769*a^9 + 233598726/4874751769*a^8 + 1003789055/4874751769*a^7 - 2301253998/4874751769*a^6 - 61689798/4874751769*a^5 - 1402450380/4874751769*a^4 - 1682431991/4874751769*a^3 + 2211017123/4874751769*a^2 - 2325954418/4874751769*a - 267146776/4874751769], 0, 1, [], 0, [ (589059786)/(4874751769)*a^(15) - (23619886)/(48264869)*a^(14) + (101478622)/(4874751769)*a^(13) + (10577161134)/(4874751769)*a^(12) - (21388611594)/(4874751769)*a^(11) + (27561119515)/(4874751769)*a^(10) - (15798122172)/(4874751769)*a^(9) - (1573586490)/(4874751769)*a^(8) - (18944401904)/(4874751769)*a^(7) - (16047402189)/(4874751769)*a^(6) + (114429790876)/(4874751769)*a^(5) - (62805093660)/(4874751769)*a^(4) - (3016976322)/(4874751769)*a^(3) - (28850754177)/(4874751769)*a^(2) - (5175579308)/(4874751769)*a + (7182644758)/(4874751769) , (1056762832)/(4874751769)*a^(15) - (4775080619)/(4874751769)*a^(14) + (929660405)/(4874751769)*a^(13) + (23503738717)/(4874751769)*a^(12) - (46238306962)/(4874751769)*a^(11) + (46288696305)/(4874751769)*a^(10) - (10733831631)/(4874751769)*a^(9) - (39397688064)/(4874751769)*a^(8) - (15322157157)/(4874751769)*a^(7) - (2403553125)/(4874751769)*a^(6) + (249818674085)/(4874751769)*a^(5) - (162916358059)/(4874751769)*a^(4) - (151264246795)/(4874751769)*a^(3) + (49655485937)/(4874751769)*a^(2) + (20184023627)/(4874751769)*a + (2567492762)/(4874751769) , (2158147061)/(4874751769)*a^(15) - (8938306762)/(4874751769)*a^(14) - (230724900)/(4874751769)*a^(13) + (43449533265)/(4874751769)*a^(12) - (79562659829)/(4874751769)*a^(11) + (85813368466)/(4874751769)*a^(10) - (27415102290)/(4874751769)*a^(9) - (47273508303)/(4874751769)*a^(8) - (60630510525)/(4874751769)*a^(7) - (40622008296)/(4874751769)*a^(6) + (459236786421)/(4874751769)*a^(5) - (207301058733)/(4874751769)*a^(4) - (180541008492)/(4874751769)*a^(3) - (41505522589)/(4874751769)*a^(2) - (3858464455)/(4874751769)*a + (4620072269)/(4874751769) , (889470650)/(4874751769)*a^(15) - (4067833714)/(4874751769)*a^(14) + (1141823919)/(4874751769)*a^(13) + (19295746642)/(4874751769)*a^(12) - (40319658376)/(4874751769)*a^(11) + (43298761599)/(4874751769)*a^(10) - (14792396397)/(4874751769)*a^(9) - (28671596239)/(4874751769)*a^(8) - (10837287347)/(4874751769)*a^(7) - (4062088766)/(4874751769)*a^(6) + (207994451943)/(4874751769)*a^(5) - (157460443447)/(4874751769)*a^(4) - (99832650697)/(4874751769)*a^(3) + (46463843428)/(4874751769)*a^(2) + (14812483444)/(4874751769)*a + (8024949655)/(4874751769) , a , (137669810)/(4874751769)*a^(15) - (538137335)/(4874751769)*a^(14) - (942947974)/(4874751769)*a^(13) + (4831782447)/(4874751769)*a^(12) - (1237574929)/(4874751769)*a^(11) - (6553496751)/(4874751769)*a^(10) + (12349518261)/(4874751769)*a^(9) - (16081918608)/(4874751769)*a^(8) - (13072583395)/(4874751769)*a^(7) - (1583734468)/(4874751769)*a^(6) + (57073501441)/(4874751769)*a^(5) + (46169766869)/(4874751769)*a^(4) - (93693217406)/(4874751769)*a^(3) - (45726792627)/(4874751769)*a^(2) - (5166022070)/(4874751769)*a - (2047457497)/(4874751769) , (1489099014)/(4874751769)*a^(15) - (5860383300)/(4874751769)*a^(14) - (768621203)/(4874751769)*a^(13) + (28134547474)/(4874751769)*a^(12) - (51221732120)/(4874751769)*a^(11) + (57624794638)/(4874751769)*a^(10) - (18561537955)/(4874751769)*a^(9) - (25753430036)/(4874751769)*a^(8) - (40461068672)/(4874751769)*a^(7) - (43379727301)/(4874751769)*a^(6) + (290271893381)/(4874751769)*a^(5) - (120224635340)/(4874751769)*a^(4) - (76859705453)/(4874751769)*a^(3) - (23368259647)/(4874751769)*a^(2) - (19136299627)/(4874751769)*a + (1827552994)/(4874751769) , (3397012542)/(4874751769)*a^(15) - (14428733556)/(4874751769)*a^(14) + (452561929)/(4874751769)*a^(13) + (70735578053)/(4874751769)*a^(12) - (131377045543)/(4874751769)*a^(11) + (137321325453)/(4874751769)*a^(10) - (38297441049)/(4874751769)*a^(9) - (91939884707)/(4874751769)*a^(8) - (83185963527)/(4874751769)*a^(7) - (48954962766)/(4874751769)*a^(6) + (748298271960)/(4874751769)*a^(5) - (372442673369)/(4874751769)*a^(4) - (353943088088)/(4874751769)*a^(3) + (1607974989)/(4874751769)*a^(2) + (14376397799)/(4874751769)*a + (4787683795)/(4874751769) , (859345945)/(4874751769)*a^(15) - (3453887649)/(4874751769)*a^(14) - (1075400082)/(4874751769)*a^(13) + (18957425072)/(4874751769)*a^(12) - (28109369437)/(4874751769)*a^(11) + (22112121135)/(4874751769)*a^(10) + (5897534377)/(4874751769)*a^(9) - (34510024268)/(4874751769)*a^(8) - (26334960539)/(4874751769)*a^(7) - (16581774647)/(4874751769)*a^(6) + (196722356493)/(4874751769)*a^(5) - (27927058242)/(4874751769)*a^(4) - (153833157027)/(4874751769)*a^(3) - (19052299944)/(4874751769)*a^(2) - (5919440014)/(4874751769)*a + (2781636059)/(4874751769) , (1999364766)/(4874751769)*a^(15) - (8337971735)/(4874751769)*a^(14) + (239592146)/(4874751769)*a^(13) + (39455285853)/(4874751769)*a^(12) - (75039618916)/(4874751769)*a^(11) + (85320861613)/(4874751769)*a^(10) - (34690377739)/(4874751769)*a^(9) - (34335824600)/(4874751769)*a^(8) - (57747576264)/(4874751769)*a^(7) - (38814466120)/(4874751769)*a^(6) + (421134379584)/(4874751769)*a^(5) - (213265471859)/(4874751769)*a^(4) - (125433224156)/(4874751769)*a^(3) - (48654281039)/(4874751769)*a^(2) - (630834906)/(4874751769)*a + (4692826279)/(4874751769) , (1851851945)/(4874751769)*a^(15) - (7430999058)/(4874751769)*a^(14) - (1803508166)/(4874751769)*a^(13) + (38785998874)/(4874751769)*a^(12) - (60827963372)/(4874751769)*a^(11) + (56743289529)/(4874751769)*a^(10) - (4875423658)/(4874751769)*a^(9) - (52593927909)/(4874751769)*a^(8) - (64676302781)/(4874751769)*a^(7) - (40299950756)/(4874751769)*a^(6) + (408795965620)/(4874751769)*a^(5) - (82152871113)/(4874751769)*a^(4) - (236396749884)/(4874751769)*a^(3) - (92092533310)/(4874751769)*a^(2) - (15476179930)/(4874751769)*a + (1718848970)/(4874751769) ], 23552.8271774, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1]]]