/* 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 - 41*x^13 + 6*x^12 + 184*x^11 + 163*x^10 + 452*x^9 + 1014*x^8 + 599*x^7 + 632*x^6 + 1090*x^5 - 89*x^4 - 384*x^3 + 126*x^2 - 108*x + 81, 16, 2, [0, 8], 59710443940858531640625, [3, 5, 13], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/3*a^9 - 1/3*a^5 + 1/3*a, 1/3*a^10 - 1/3*a^6 + 1/3*a^2, 1/3*a^11 - 1/3*a^7 + 1/3*a^3, 1/1098*a^12 - 13/549*a^11 + 19/549*a^10 + 7/366*a^9 - 86/549*a^8 + 253/549*a^7 + 127/1098*a^6 + 8/183*a^5 + 230/549*a^4 - 293/1098*a^3 + 16/549*a^2 - 19/61*a + 3/122, 1/25254*a^13 + 1/25254*a^12 + 583/12627*a^11 - 505/8418*a^10 - 2167/25254*a^9 + 2872/12627*a^8 - 4511/25254*a^7 - 1/2*a^6 - 1135/12627*a^5 - 5441/25254*a^4 + 11519/25254*a^3 - 157/4209*a^2 - 1361/8418*a + 1301/2806, 1/25254*a^14 - 4/12627*a^12 + 2563/25254*a^11 - 1568/12627*a^10 + 19/4209*a^9 - 10531/25254*a^8 + 2221/12627*a^7 - 1963/12627*a^6 - 1/46*a^5 + 3857/12627*a^4 + 1463/12627*a^3 + 157/2806*a^2 + 746/4209*a + 396/1403, 1/1415086651386*a^15 + 4034207/1415086651386*a^14 - 11157703/1415086651386*a^13 - 155406862/707543325693*a^12 + 27897899549/471695550462*a^11 - 5291548411/61525506582*a^10 - 15329887450/707543325693*a^9 + 302755149719/1415086651386*a^8 + 1111462519/27746797086*a^7 + 129327599809/707543325693*a^6 - 638638140385/1415086651386*a^5 - 136294113317/1415086651386*a^4 + 26200061204/707543325693*a^3 + 20043153485/52410616718*a^2 - 67587586199/157231850154*a - 7478951279/52410616718], 1, 4, [4], 1, [ (183883222)/(78615925077)*a^(15) - (1453286)/(1139361233)*a^(14) - (41397377)/(3418083699)*a^(13) - (7521006014)/(78615925077)*a^(12) - (2251466470)/(78615925077)*a^(11) + (575410746)/(1139361233)*a^(10) + (35116733414)/(78615925077)*a^(9) + (82934849522)/(78615925077)*a^(8) + (12935686181)/(4624466181)*a^(7) + (54680012658)/(26205308359)*a^(6) + (152483597242)/(78615925077)*a^(5) + (280991498344)/(78615925077)*a^(4) + (24640231558)/(26205308359)*a^(3) - (16095953370)/(26205308359)*a^(2) + (68666865466)/(78615925077)*a + (131834736)/(26205308359) , (6376511903)/(471695550462)*a^(15) - (10802053277)/(471695550462)*a^(14) - (9131800000)/(235847775231)*a^(13) - (249659656837)/(471695550462)*a^(12) + (24092598663)/(52410616718)*a^(11) + (514978697620)/(235847775231)*a^(10) + (15922389361)/(20508502194)*a^(9) + (2457879700339)/(471695550462)*a^(8) + (46242054515)/(4624466181)*a^(7) + (630902273461)/(471695550462)*a^(6) + (2589193150951)/(471695550462)*a^(5) + (2407428178549)/(235847775231)*a^(4) - (3180293837017)/(471695550462)*a^(3) - (568966835747)/(157231850154)*a^(2) + (107087448839)/(26205308359)*a - (18931679746)/(26205308359) , (187621103)/(30762753291)*a^(15) - (10240747721)/(1415086651386)*a^(14) - (15174516958)/(707543325693)*a^(13) - (351081202609)/(1415086651386)*a^(12) + (36628668845)/(471695550462)*a^(11) + (734320347445)/(707543325693)*a^(10) + (1182678457859)/(1415086651386)*a^(9) + (4074437516881)/(1415086651386)*a^(8) + (27926130473)/(4624466181)*a^(7) + (4316560394875)/(1415086651386)*a^(6) + (5429452459777)/(1415086651386)*a^(5) + (4601691863272)/(707543325693)*a^(4) - (1739623567477)/(1415086651386)*a^(3) - (794858553833)/(471695550462)*a^(2) + (163411928000)/(78615925077)*a - (25747485215)/(52410616718) , (1789438)/(603191241)*a^(15) - (4196315)/(603191241)*a^(14) - (2016955)/(603191241)*a^(13) - (22684660)/(201063747)*a^(12) + (102057395)/(603191241)*a^(11) + (204905453)/(603191241)*a^(10) - (77237267)/(603191241)*a^(9) + (93399857)/(67021249)*a^(8) + (981294241)/(603191241)*a^(7) + (482665)/(9888381)*a^(6) + (1554502061)/(603191241)*a^(5) + (300497047)/(201063747)*a^(4) - (140680770)/(67021249)*a^(3) + (62200311)/(67021249)*a^(2) - (40900383)/(67021249)*a - (1706344)/(67021249) , (9601269725)/(1415086651386)*a^(15) - (3470668859)/(1415086651386)*a^(14) - (50987496491)/(1415086651386)*a^(13) - (415604768767)/(1415086651386)*a^(12) - (54856855915)/(471695550462)*a^(11) + (2090973381629)/(1415086651386)*a^(10) + (2816002307153)/(1415086651386)*a^(9) + (4112355772513)/(1415086651386)*a^(8) + (68062500073)/(9248932362)*a^(7) + (8059276650721)/(1415086651386)*a^(6) + (2845230179611)/(1415086651386)*a^(5) + (9282115946165)/(1415086651386)*a^(4) + (3569418538709)/(1415086651386)*a^(3) - (2262396077387)/(471695550462)*a^(2) - (87701480959)/(157231850154)*a + (28249712825)/(26205308359) , (7233914197)/(471695550462)*a^(15) - (15489046993)/(471695550462)*a^(14) - (1602445988)/(78615925077)*a^(13) - (144845363773)/(235847775231)*a^(12) + (373677418123)/(471695550462)*a^(11) + (419568715630)/(235847775231)*a^(10) + (54017396234)/(78615925077)*a^(9) + (3036194723549)/(471695550462)*a^(8) + (113685502709)/(13873398543)*a^(7) + (387562346276)/(235847775231)*a^(6) + (1467807874879)/(157231850154)*a^(5) + (1569827280509)/(235847775231)*a^(4) - (1277811556757)/(235847775231)*a^(3) + (666606814021)/(471695550462)*a^(2) - (34472837783)/(78615925077)*a + (23121963427)/(52410616718) , (2629168066)/(707543325693)*a^(15) - (11746145315)/(1415086651386)*a^(14) - (3259170070)/(707543325693)*a^(13) - (200610702919)/(1415086651386)*a^(12) + (90205234595)/(471695550462)*a^(11) + (302218770979)/(707543325693)*a^(10) - (174841309099)/(1415086651386)*a^(9) + (2712846530443)/(1415086651386)*a^(8) + (478579567)/(201063747)*a^(7) + (224635748749)/(1415086651386)*a^(6) + (5526150907381)/(1415086651386)*a^(5) + (75621943811)/(30762753291)*a^(4) - (4715404001689)/(1415086651386)*a^(3) + (231200848711)/(157231850154)*a^(2) - (25249737643)/(26205308359)*a + (17071967935)/(52410616718) ], 57289.5984617, [[x^2 - x - 16, 1], [x^2 - x + 1, 1], [x^2 - x + 49, 1], [x^2 - x - 3, 1], [x^2 - x - 1, 1], [x^2 - x + 10, 1], [x^2 - x + 4, 1], [x^4 - x^3 + 17*x^2 + 16*x + 256, 1], [x^4 - 9*x^2 + 4, 1], [x^4 - x^3 - x^2 + 25*x + 40, 1], [x^4 - x^3 + 4*x^2 + 3*x + 9, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 + x^2 + 49, 1], [x^4 + 17*x^2 + 121, 1], [x^4 - x^3 - 50*x^2 - 48*x + 159, 1], [x^4 - x^3 - 11*x^2 - 9*x + 3, 1], [x^4 - x^3 + 15*x^2 + 17*x + 29, 1], [x^4 - x^3 + 2*x^2 + 4*x + 3, 1], [x^8 + 9*x^6 + 77*x^4 + 36*x^2 + 16, 1], [x^8 - 2*x^7 - 26*x^6 + 70*x^5 + 105*x^4 - 400*x^3 + 169*x^2 + 263*x - 179, 1], [x^8 - x^7 + 5*x^6 + 18*x^5 + 37*x^4 + 20*x^3 + 2*x^2 - 12*x + 9, 1], [x^8 - x^7 - 14*x^6 - 49*x^5 + 213*x^4 + 313*x^3 - 146*x^2 + 493*x + 841, 1], [x^8 - x^7 - x^6 - 10*x^5 + 5*x^4 + 14*x^3 + 10*x^2 + 12*x + 9, 1], [x^8 - 2*x^7 + 20*x^6 - 38*x^5 + 137*x^4 - 62*x^3 + 37*x^2 + 297*x + 159, 1], [x^8 - x^7 + 16*x^6 - 52*x^5 + 45*x^4 - 104*x^3 + 40*x^2 + 157*x + 289, 1]]]