/* 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 + 5*x^14 - x^13 + x^11 - 19*x^10 - 13*x^9 - 20*x^8 - 11*x^7 + 17*x^6 + 35*x^5 + 46*x^4 + 36*x^3 + 22*x^2 + 4*x - 1, 16, 44, [4, 6], 232292068597265625, [3, 5, 13], [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, 1/334930591*a^15 + 138555887/334930591*a^14 + 143733157/334930591*a^13 + 108488160/334930591*a^12 + 144776765/334930591*a^11 - 102678000/334930591*a^10 - 66609302/334930591*a^9 - 83071435/334930591*a^8 + 15454558/334930591*a^7 - 113367582/334930591*a^6 + 11827202/334930591*a^5 - 159074520/334930591*a^4 + 43836859/334930591*a^3 - 144952960/334930591*a^2 + 3839262/334930591*a - 150689317/334930591], 0, 1, [], 0, [ (10720645)/(334930591)*a^(15) + (14297481)/(334930591)*a^(14) - (4712116)/(334930591)*a^(13) + (161216741)/(334930591)*a^(12) - (210217311)/(334930591)*a^(11) + (119805825)/(334930591)*a^(10) - (220078193)/(334930591)*a^(9) - (597459530)/(334930591)*a^(8) + (35055212)/(334930591)*a^(7) - (247789778)/(334930591)*a^(6) + (225219829)/(334930591)*a^(5) + (1044328259)/(334930591)*a^(4) + (539700632)/(334930591)*a^(3) + (294704776)/(334930591)*a^(2) + (79566591)/(334930591)*a - (211541388)/(334930591) , (19202939)/(334930591)*a^(15) + (4512668)/(334930591)*a^(14) + (17460304)/(334930591)*a^(13) + (132471461)/(334930591)*a^(12) - (213688269)/(334930591)*a^(11) - (62885141)/(334930591)*a^(10) - (129929625)/(334930591)*a^(9) - (576729072)/(334930591)*a^(8) - (19013181)/(334930591)*a^(7) + (471714850)/(334930591)*a^(6) + (604789578)/(334930591)*a^(5) + (983489165)/(334930591)*a^(4) + (403091706)/(334930591)*a^(3) - (449179736)/(334930591)*a^(2) - (477561084)/(334930591)*a - (375589560)/(334930591) , (55836336)/(334930591)*a^(15) - (142687484)/(334930591)*a^(14) + (381641954)/(334930591)*a^(13) - (444422111)/(334930591)*a^(12) + (69429471)/(334930591)*a^(11) + (365855588)/(334930591)*a^(10) - (1375551068)/(334930591)*a^(9) + (968091736)/(334930591)*a^(8) - (334142415)/(334930591)*a^(7) + (17532087)/(334930591)*a^(6) + (1294300671)/(334930591)*a^(5) - (128628780)/(334930591)*a^(4) + (82751074)/(334930591)*a^(3) - (236401548)/(334930591)*a^(2) + (342768619)/(334930591)*a - (254720881)/(334930591) , (15341678)/(334930591)*a^(15) - (63538762)/(334930591)*a^(14) + (160856421)/(334930591)*a^(13) - (264159280)/(334930591)*a^(12) + (171709072)/(334930591)*a^(11) + (110380202)/(334930591)*a^(10) - (445084022)/(334930591)*a^(9) + (572686264)/(334930591)*a^(8) - (187553531)/(334930591)*a^(7) - (265110563)/(334930591)*a^(6) + (142120115)/(334930591)*a^(5) - (322106606)/(334930591)*a^(4) - (273362050)/(334930591)*a^(3) + (595996861)/(334930591)*a^(2) + (497489558)/(334930591)*a + (276378611)/(334930591) , (84789373)/(334930591)*a^(15) - (157120433)/(334930591)*a^(14) + (540937127)/(334930591)*a^(13) - (544134168)/(334930591)*a^(12) + (421425666)/(334930591)*a^(11) - (330542686)/(334930591)*a^(10) - (1230283148)/(334930591)*a^(9) + (34062559)/(334930591)*a^(8) - (1501138630)/(334930591)*a^(7) + (759615103)/(334930591)*a^(6) + (1005313563)/(334930591)*a^(5) + (1927054315)/(334930591)*a^(4) + (1861456860)/(334930591)*a^(3) + (698801927)/(334930591)*a^(2) + (533243869)/(334930591)*a - (234240899)/(334930591) , (9768380)/(334930591)*a^(15) - (20279216)/(334930591)*a^(14) + (5994157)/(334930591)*a^(13) + (24328291)/(334930591)*a^(12) - (251819661)/(334930591)*a^(11) + (163114604)/(334930591)*a^(10) - (3363334)/(334930591)*a^(9) - (159044590)/(334930591)*a^(8) + (1055341655)/(334930591)*a^(7) + (234731150)/(334930591)*a^(6) + (305690856)/(334930591)*a^(5) + (69349170)/(334930591)*a^(4) - (1367278673)/(334930591)*a^(3) - (1354240245)/(334930591)*a^(2) - (1152652847)/(334930591)*a - (36843468)/(334930591) , (12840730)/(334930591)*a^(15) + (67012508)/(334930591)*a^(14) - (44857391)/(334930591)*a^(13) + (411528230)/(334930591)*a^(12) - (264180052)/(334930591)*a^(11) + (160212729)/(334930591)*a^(10) - (482094942)/(334930591)*a^(9) - (1208343611)/(334930591)*a^(8) - (913134297)/(334930591)*a^(7) - (1291119693)/(334930591)*a^(6) + (655007375)/(334930591)*a^(5) + (1535520280)/(334930591)*a^(4) + (2871314740)/(334930591)*a^(3) + (2257483453)/(334930591)*a^(2) + (1162913152)/(334930591)*a + (176843790)/(334930591) , (86695208)/(334930591)*a^(15) - (135053644)/(334930591)*a^(14) + (530163506)/(334930591)*a^(13) - (368948461)/(334930591)*a^(12) + (202524776)/(334930591)*a^(11) + (230147338)/(334930591)*a^(10) - (2176759498)/(334930591)*a^(9) + (271313261)/(334930591)*a^(8) - (2129626422)/(334930591)*a^(7) - (780661223)/(334930591)*a^(6) + (2211785297)/(334930591)*a^(5) + (1597216176)/(334930591)*a^(4) + (3599801858)/(334930591)*a^(3) + (2394210129)/(334930591)*a^(2) + (1309307835)/(334930591)*a + (40922675)/(334930591) , (48105152)/(334930591)*a^(15) - (58645394)/(334930591)*a^(14) + (253904410)/(334930591)*a^(13) - (142095394)/(334930591)*a^(12) + (94157245)/(334930591)*a^(11) - (136288604)/(334930591)*a^(10) - (781771867)/(334930591)*a^(9) - (283453591)/(334930591)*a^(8) - (901298702)/(334930591)*a^(7) + (192036688)/(334930591)*a^(6) + (1080360049)/(334930591)*a^(5) + (1278387636)/(334930591)*a^(4) + (1505705826)/(334930591)*a^(3) + (441983143)/(334930591)*a^(2) - (149203169)/(334930591)*a - (244156176)/(334930591) ], 167.322044256, [[x^2 - x - 3, 1], [x^2 - x - 16, 1], [x^2 - x - 1, 1], [x^4 - x^3 - x^2 - x + 1, 1], [x^4 - x^3 - 8*x - 1, 1], [x^4 - 9*x^2 + 4, 1], [x^8 - x^7 - 4*x^6 - 5*x^5 + 5*x^4 + 5*x^3 - 4*x^2 + x + 1, 1]]]