/* 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 + 119*x^14 + 5456*x^12 + 121006*x^10 + 1343266*x^8 + 7090207*x^6 + 14841596*x^4 + 9180884*x^2 + 139129, 16, 8, [0, 8], 13573982477229290545823357041, [13, 17], [1, a, a^2, a^3, a^4, 1/2*a^5 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^6 - 1/2*a^4 - 1/2*a^2 - 1/2*a, 1/2*a^7 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^8 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^9 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/4*a^10 - 1/4*a^6 - 1/2*a^4 - 1/2*a^3 - 1/4*a^2 - 1/2*a - 1/4, 1/8*a^11 - 1/8*a^10 - 1/4*a^9 - 1/4*a^8 - 1/8*a^7 + 1/8*a^6 - 1/4*a^5 - 1/4*a^4 + 1/8*a^3 + 3/8*a^2 + 3/8*a + 1/8, 1/11632*a^12 - 367/11632*a^10 - 2447/11632*a^8 - 361/11632*a^6 + 2903/11632*a^4 + 3/5816*a^2 - 1/2*a - 79/11632, 1/23264*a^13 - 1/23264*a^12 - 367/23264*a^11 + 367/23264*a^10 - 2447/23264*a^9 + 2447/23264*a^8 + 5455/23264*a^7 - 5455/23264*a^6 - 2913/23264*a^5 - 8719/23264*a^4 + 2911/11632*a^3 - 2911/11632*a^2 + 11553/23264*a + 79/23264, 1/1170756606479795648*a^14 - 3910292541027/292689151619948912*a^12 + 28640418123279829/292689151619948912*a^10 - 77702130171795527/585378303239897824*a^8 + 63652354359199763/292689151619948912*a^6 - 347173688083764709/1170756606479795648*a^4 - 1/2*a^3 - 481951937381030805/1170756606479795648*a^2 - 1/2*a + 631515569491699/1170756606479795648, 1/873384428433927553408*a^15 - 1/2341513212959591296*a^14 + 2124268487832451/109173053554240944176*a^13 - 10626058665007/292689151619948912*a^12 - 4278273684093535001/109173053554240944176*a^11 - 9702906850303891/292689151619948912*a^10 - 105476343878936847621/436692214216963776704*a^9 - 91842187539278731/1170756606479795648*a^8 + 18801260315900019573/109173053554240944176*a^7 + 45887925707110247/292689151619948912*a^6 - 63945768534976797193/873384428433927553408*a^5 - 530390518578661207/2341513212959591296*a^4 - 159602791684196296637/873384428433927553408*a^3 - 689408566935669827/2341513212959591296*a^2 - 121931072288602533609/873384428433927553408*a + 7319805949757257/2341513212959591296], 1, 40, [2, 2, 10], 1, [ (66174671)/(86967509023904)*a^(14) + (3605028789)/(43483754511952)*a^(12) + (144353634361)/(43483754511952)*a^(10) + (1278802068071)/(21741877255976)*a^(8) + (18870325807015)/(43483754511952)*a^(6) + (92314728697543)/(86967509023904)*a^(4) + (60793203181073)/(86967509023904)*a^(2) + (27254321461491)/(86967509023904) , (1080586117994831)/(218346107108481888352)*a^(15) + (64588834720205899)/(109173053554240944176)*a^(13) + (2979438473060386063)/(109173053554240944176)*a^(11) + (16654236964842085201)/(27293263388560236044)*a^(9) + (746870157012009817153)/(109173053554240944176)*a^(7) + (7949191417855512888187)/(218346107108481888352)*a^(5) + (16618700760225732868505)/(218346107108481888352)*a^(3) + (10069169824633448149311)/(218346107108481888352)*a , (13626147071119)/(13646631694280118022)*a^(15) + (13128937503054727)/(109173053554240944176)*a^(13) + (611866238292028763)/(109173053554240944176)*a^(11) + (13882513066096248815)/(109173053554240944176)*a^(9) + (159078695425851950277)/(109173053554240944176)*a^(7) + (875508169387835080617)/(109173053554240944176)*a^(5) + (972586878790990230007)/(54586526777120472088)*a^(3) + (1299684929289229831387)/(109173053554240944176)*a , (459461193869)/(292689151619948912)*a^(14) + (53644271039659)/(292689151619948912)*a^(12) + (2381219792658291)/(292689151619948912)*a^(10) + (49693216850723249)/(292689151619948912)*a^(8) + (483782141828645741)/(292689151619948912)*a^(6) + (225323974936692315)/(36586143952493614)*a^(4) + (300175033676981321)/(292689151619948912)*a^(2) - (508681759468987277)/(146344575809974456) , (421732936115)/(146344575809974456)*a^(14) + (99555823903201)/(292689151619948912)*a^(12) + (4504876924571073)/(292689151619948912)*a^(10) + (97592650577088133)/(292689151619948912)*a^(8) + (1032915065224242415)/(292689151619948912)*a^(6) + (4865495847245000425)/(292689151619948912)*a^(4) + (432350347427890600)/(18293071976246807)*a^(2) - (957787277690506805)/(292689151619948912) , (26668298947)/(146344575809974456)*a^(14) + (662087347889)/(36586143952493614)*a^(12) + (41769028617963)/(73172287904987228)*a^(10) + (298316545939825)/(73172287904987228)*a^(8) - (5955376481576331)/(73172287904987228)*a^(6) - (148327947288936291)/(146344575809974456)*a^(4) - (313707346153193533)/(146344575809974456)*a^(2) - (208188724565229257)/(146344575809974456) , (2207317169673)/(1170756606479795648)*a^(14) + (62572338758359)/(292689151619948912)*a^(12) + (2667283986971335)/(292689151619948912)*a^(10) + (105428828951690997)/(585378303239897824)*a^(8) + (484012866859134497)/(292689151619948912)*a^(6) + (7569714726223914987)/(1170756606479795648)*a^(4) + (9482705014075647923)/(1170756606479795648)*a^(2) + (382022226625047411)/(1170756606479795648) ], 506567.420659, [[x^2 - x - 55, 1], [x^2 - x - 3, 1], [x^2 - x - 4, 1], [x^4 - x^3 + 28*x^2 + 290*x + 1225, 1], [x^4 - 15*x^2 + 1, 1], [x^4 - x^3 + 28*x^2 - 152*x + 1667, 1], [x^4 - x^3 + x^2 - 2*x + 4, 2], [x^4 - 2*x^3 + 6*x^2 - 5*x + 2, 2], [x^8 - x^7 + 40*x^6 + 60*x^5 + 1005*x^4 + 1064*x^3 + 2128*x^2 - 1795*x + 14225, 1], [x^8 + x^6 - 4*x^5 - 38*x^4 - 2*x^3 + 123*x^2 - 34*x + 17, 1], [x^8 - 3*x^7 - 67*x^6 - 16*x^5 + 863*x^4 + 1276*x^3 + 392*x^2 - 54*x + 1, 1]]]