/* 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 + 6*x^14 - 17*x^13 + 17*x^12 + 49*x^11 - 78*x^10 + 833*x^9 - 2129*x^8 + 4998*x^7 - 2808*x^6 + 10584*x^5 + 22032*x^4 - 132192*x^3 + 279936*x^2 - 279936*x + 1679616, 16, 2, [0, 8], 125439056256992431640625, [3, 5, 23], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/6*a^9 - 1/6*a^8 + 1/6*a^6 - 1/6*a^5 + 1/6*a^4 - 1/6*a^2 + 1/6*a, 1/684*a^10 - 1/36*a^9 - 1/3*a^8 + 1/36*a^7 + 17/36*a^6 - 257/684*a^5 + 1/3*a^4 - 13/36*a^3 - 5/36*a^2 + 1/3*a + 7/19, 1/4104*a^11 - 1/4104*a^10 + 1/36*a^9 + 73/216*a^8 + 35/216*a^7 + 1453/4104*a^6 + 293/684*a^5 + 95/216*a^4 + 13/216*a^3 + 5/36*a^2 + 15/38*a + 2/19, 1/123120*a^12 + 1/24624*a^11 + 1/6480*a^9 + 613/1296*a^8 - 6709/24624*a^7 + 1/570*a^6 - 269/1296*a^5 - 229/1296*a^4 + 1/5*a^3 - 29/684*a^2 + 17/114*a - 1/5, 1/2219853600*a^13 + 7421/2219853600*a^12 + 1261/12332520*a^11 - 189881/2219853600*a^10 - 6081799/116834400*a^9 + 209839703/443970720*a^8 - 24907349/61662600*a^7 + 274669241/2219853600*a^6 - 46734367/443970720*a^5 - 1107749/3245400*a^4 + 901616/2569275*a^3 - 4643/114190*a^2 + 77621/285475*a - 83614/285475, 1/13319121600*a^14 - 1/13319121600*a^13 - 737/2219853600*a^12 + 1149859/13319121600*a^11 - 1171999/13319121600*a^10 - 458842163/13319121600*a^9 - 159295099/2219853600*a^8 - 4019426851/13319121600*a^7 - 2348716577/13319121600*a^6 + 750753959/2219853600*a^5 - 59664203/123325200*a^4 + 1024343/6851400*a^3 + 122706/285475*a^2 - 413651/1712850*a - 25622/285475, 1/79914729600*a^15 - 1/79914729600*a^14 + 1/13319121600*a^13 + 13573/4206038400*a^12 - 114661/4206038400*a^11 + 5015569/79914729600*a^10 - 820750117/13319121600*a^9 - 3458710831/79914729600*a^8 + 414681349/4206038400*a^7 + 11167403/701006400*a^6 + 126726281/369975600*a^5 + 179200459/369975600*a^4 - 22444417/61662600*a^3 + 63389/135225*a^2 - 20998/45075*a + 91743/285475], 1, 15, [15], 1, [ (2567)/(2663824320)*a^(15) - (2567)/(443970720)*a^(14) + (43639)/(2663824320)*a^(13) - (43639)/(2663824320)*a^(12) + (21607)/(443970720)*a^(11) + (33371)/(443970720)*a^(10) - (2138311)/(2663824320)*a^(9) + (5465143)/(2663824320)*a^(8) - (2138311)/(443970720)*a^(7) + (22410431)/(2663824320)*a^(6) - (125783)/(12332520)*a^(5) - (43639)/(2055420)*a^(4) + (43639)/(342570)*a^(3) - (15402)/(57095)*a^(2) + (37434)/(57095)*a - (35317)/(57095) , (4379)/(15982945920)*a^(15) - (48169)/(79914729600)*a^(14) - (146711)/(79914729600)*a^(12) - (126991)/(79914729600)*a^(11) + (661229)/(15982945920)*a^(10) - (4379)/(61662600)*a^(9) + (661229)/(4206038400)*a^(8) - (34607773)/(15982945920)*a^(7) + (4379)/(10277100)*a^(6) + (661229)/(369975600)*a^(5) - (74443)/(12332520)*a^(4) + (4379)/(540900)*a^(3) - (6264)/(285475)*a^(2) + (4379)/(57095)*a - (259201)/(285475) , (4379)/(13319121600)*a^(15) + (5059)/(2219853600)*a^(14) - (11023)/(2663824320)*a^(13) + (180611)/(13319121600)*a^(12) - (22499)/(2219853600)*a^(11) + (659)/(12332520)*a^(10) + (7612259)/(13319121600)*a^(9) - (9745691)/(13319121600)*a^(8) + (322643)/(88794144)*a^(7) - (51585979)/(13319121600)*a^(6) + (43438321)/(2219853600)*a^(5) + (27871)/(2055420)*a^(4) - (1436161)/(61662600)*a^(3) + (1162459)/(10277100)*a^(2) - (15402)/(57095)*a + (92412)/(57095) , (629681)/(79914729600)*a^(15) - (4273)/(841207680)*a^(14) + (17411)/(665956080)*a^(13) - (453581)/(15982945920)*a^(12) + (2219987)/(15982945920)*a^(11) + (11863171)/(15982945920)*a^(10) - (10841)/(8762580)*a^(9) + (47373053)/(15982945920)*a^(8) - (124037171)/(15982945920)*a^(7) + (18088801)/(665956080)*a^(6) + (7515641)/(221985360)*a^(5) - (117431)/(3894480)*a^(4) + (2445491)/(12332520)*a^(3) - (268391)/(1027710)*a^(2) + (749849)/(342570)*a - (9359)/(285475) , (118171)/(15982945920)*a^(15) + (417997)/(79914729600)*a^(14) - (202427)/(13319121600)*a^(13) + (3088841)/(79914729600)*a^(12) - (13544477)/(79914729600)*a^(11) + (67640387)/(79914729600)*a^(10) + (3784919)/(13319121600)*a^(9) - (87659993)/(79914729600)*a^(8) + (419273213)/(79914729600)*a^(7) - (175541899)/(13319121600)*a^(6) + (80237179)/(1109926800)*a^(5) - (7195693)/(369975600)*a^(4) - (4049981)/(61662600)*a^(3) - (1063529)/(5138550)*a^(2) - (687376)/(856425)*a + (1343341)/(285475) , (7411)/(9989341200)*a^(15) + (46069)/(4994670600)*a^(14) + (7411)/(1664890200)*a^(13) - (125987)/(9989341200)*a^(12) + (125987)/(9989341200)*a^(11) + (363139)/(9989341200)*a^(10) + (4269739)/(3329780400)*a^(9) + (6173363)/(9989341200)*a^(8) - (15778019)/(9989341200)*a^(7) + (6173363)/(1664890200)*a^(6) - (96343)/(46246950)*a^(5) + (19357487)/(369975600)*a^(4) + (125987)/(7707825)*a^(3) - (251974)/(2569275)*a^(2) + (59288)/(285475)*a - (59288)/(285475) , (6787)/(208111275)*a^(15) - (933887)/(13319121600)*a^(14) + (653323)/(13319121600)*a^(13) - (167087)/(1331912160)*a^(12) + (4352047)/(13319121600)*a^(11) + (1438463)/(701006400)*a^(10) - (17158199)/(2663824320)*a^(9) + (113006659)/(6659560800)*a^(8) - (506125567)/(13319121600)*a^(7) + (223669687)/(2663824320)*a^(6) + (5079053)/(116834400)*a^(5) - (10808893)/(61662600)*a^(4) + (205003)/(616626)*a^(3) - (30412087)/(10277100)*a^(2) + (16639043)/(1712850)*a - (606807)/(285475) ], 93215.7577208, [[x^2 - x + 1, 1], [x^2 - x - 86, 1], [x^2 - x + 29, 1], [x^2 - x - 1, 1], [x^2 - x + 4, 1], [x^2 - x - 17, 1], [x^2 - x + 6, 1], [x^4 - x^3 - 28*x^2 - 29*x + 841, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 - x^3 - 5*x^2 - 6*x + 36, 1], [x^4 - 37*x^2 + 256, 1], [x^4 + 19*x^2 + 4, 1], [x^4 + 9*x^2 + 49, 1], [x^4 - x^3 + 8*x^2 - 47*x + 139, 1], [x^4 - x^3 - 29*x^2 + 29*x + 151, 1], [x^4 - x^3 + 86*x^2 - 86*x + 1531, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^8 - 9*x^6 + 32*x^4 - 441*x^2 + 2401, 1], [x^8 - x^7 + 30*x^6 - 29*x^5 + 719*x^4 - 539*x^3 + 5220*x^2 + 4379*x + 22801, 1], [x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, 1], [x^8 - x^7 - 42*x^6 + 25*x^5 + 521*x^4 + 55*x^3 - 1998*x^2 - 1597*x + 31, 1], [x^8 - x^7 + 18*x^6 - 35*x^5 + 341*x^4 + 595*x^3 + 5202*x^2 + 4913*x + 83521, 1], [x^8 - x^7 - 5*x^6 + 11*x^5 + 19*x^4 + 66*x^3 - 180*x^2 - 216*x + 1296, 1], [x^8 - 2*x^7 + 16*x^6 - 26*x^5 + 189*x^4 - 118*x^3 + 1159*x^2 - 109*x + 3571, 1]]]