/* 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 - 3*x^15 + 6*x^14 - 4*x^13 - x^12 + 15*x^11 - 27*x^10 + 32*x^9 - 12*x^8 - 23*x^7 + 55*x^6 - 57*x^5 + 43*x^4 - 23*x^3 + 9*x^2 - x + 1, 16, 60, [0, 8], 731086699811838561, [3, 19], [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, 1/2*a^14 - 1/2*a^12 - 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^6 - 1/2*a^3 - 1/2, 1/56195686*a^15 - 5048488/28097843*a^14 + 1111075/56195686*a^13 + 19107259/56195686*a^12 + 15673121/56195686*a^11 - 9795169/56195686*a^10 - 12554447/56195686*a^9 - 8559929/28097843*a^8 - 983625/56195686*a^7 + 1446632/28097843*a^6 - 10805966/28097843*a^5 - 4099715/56195686*a^4 + 7014238/28097843*a^3 - 5619997/28097843*a^2 - 25527443/56195686*a + 7866912/28097843], 0, 1, [], 0, [ (7934539)/(28097843)*a^(15) - (36032205)/(56195686)*a^(14) + (29188960)/(28097843)*a^(13) - (1849667)/(56195686)*a^(12) - (52396327)/(56195686)*a^(11) + (197843763)/(56195686)*a^(10) - (276757383)/(56195686)*a^(9) + (192830397)/(56195686)*a^(8) + (42632706)/(28097843)*a^(7) - (438318261)/(56195686)*a^(6) + (278020437)/(28097843)*a^(5) - (166639012)/(28097843)*a^(4) + (191243773)/(56195686)*a^(3) + (12604128)/(28097843)*a^(2) - (48883008)/(28097843)*a + (54187467)/(56195686) , (1439675)/(28097843)*a^(15) - (1042436)/(28097843)*a^(14) + (4796478)/(28097843)*a^(13) + (5238337)/(28097843)*a^(12) + (2871781)/(28097843)*a^(11) + (26003980)/(28097843)*a^(10) + (7394827)/(28097843)*a^(9) + (31041491)/(28097843)*a^(8) + (30965325)/(28097843)*a^(7) - (4886335)/(28097843)*a^(6) + (44439636)/(28097843)*a^(5) + (3805798)/(28097843)*a^(4) + (25713173)/(28097843)*a^(3) + (2791552)/(28097843)*a^(2) + (26599057)/(28097843)*a + (11171576)/(28097843) , (4121951)/(28097843)*a^(15) - (12822501)/(28097843)*a^(14) + (16885383)/(28097843)*a^(13) + (4184490)/(28097843)*a^(12) - (44445150)/(28097843)*a^(11) + (73137660)/(28097843)*a^(10) - (90684178)/(28097843)*a^(9) + (11130368)/(28097843)*a^(8) + (120888211)/(28097843)*a^(7) - (265121129)/(28097843)*a^(6) + (212163936)/(28097843)*a^(5) + (5175839)/(28097843)*a^(4) - (192553993)/(28097843)*a^(3) + (165988522)/(28097843)*a^(2) - (99885883)/(28097843)*a + (43348017)/(28097843) , (8124973)/(28097843)*a^(15) - (19902589)/(28097843)*a^(14) + (38887720)/(28097843)*a^(13) - (13881849)/(28097843)*a^(12) - (10397403)/(28097843)*a^(11) + (111260698)/(28097843)*a^(10) - (156722427)/(28097843)*a^(9) + (184442567)/(28097843)*a^(8) - (28984792)/(28097843)*a^(7) - (171779177)/(28097843)*a^(6) + (319111060)/(28097843)*a^(5) - (305588939)/(28097843)*a^(4) + (234144010)/(28097843)*a^(3) - (139320586)/(28097843)*a^(2) + (62539061)/(28097843)*a - (1599563)/(28097843) , (10661733)/(56195686)*a^(15) - (26264597)/(28097843)*a^(14) + (102971233)/(56195686)*a^(13) - (117173647)/(56195686)*a^(12) - (17575617)/(56195686)*a^(11) + (192924721)/(56195686)*a^(10) - (556524227)/(56195686)*a^(9) + (308198797)/(28097843)*a^(8) - (413961979)/(56195686)*a^(7) - (172922577)/(28097843)*a^(6) + (525756757)/(28097843)*a^(5) - (1230722353)/(56195686)*a^(4) + (455891920)/(28097843)*a^(3) - (257277301)/(28097843)*a^(2) + (164996481)/(56195686)*a - (12056490)/(28097843) , (7970339)/(56195686)*a^(15) + (1521107)/(28097843)*a^(14) - (8969571)/(56195686)*a^(13) + (67204139)/(56195686)*a^(12) - (244309)/(56195686)*a^(11) + (50805557)/(56195686)*a^(10) + (132444845)/(56195686)*a^(9) - (67541754)/(28097843)*a^(8) + (260237729)/(56195686)*a^(7) + (888297)/(28097843)*a^(6) - (102301823)/(28097843)*a^(5) + (380554837)/(56195686)*a^(4) - (86356302)/(28097843)*a^(3) + (47161030)/(28097843)*a^(2) - (48998833)/(56195686)*a - (10806226)/(28097843) , (7934539)/(28097843)*a^(15) - (36032205)/(56195686)*a^(14) + (29188960)/(28097843)*a^(13) - (1849667)/(56195686)*a^(12) - (52396327)/(56195686)*a^(11) + (197843763)/(56195686)*a^(10) - (276757383)/(56195686)*a^(9) + (192830397)/(56195686)*a^(8) + (42632706)/(28097843)*a^(7) - (438318261)/(56195686)*a^(6) + (278020437)/(28097843)*a^(5) - (166639012)/(28097843)*a^(4) + (191243773)/(56195686)*a^(3) + (12604128)/(28097843)*a^(2) - (48883008)/(28097843)*a - (2008219)/(56195686) ], 188.5109795655095, [[x^2 - x + 5, 1], [x^4 - x^3 + 3*x^2 + x + 20, 1], [x^8 - x^7 + 5*x^6 + x^5 + 11*x^4 - x^3 + 5*x^2 + x + 1, 1]]]