/* 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 + 4*x^14 - 16*x^13 + 30*x^12 - 48*x^11 + 112*x^10 - 144*x^9 + 199*x^8 - 176*x^7 + 120*x^6 - 88*x^5 + 34*x^4 - 24*x^3 + 12*x^2 + 3, 16, 128, [0, 8], 149587343098087735296, [2, 3], [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, 1/8414308662457*a^15 - 625306600696/8414308662457*a^14 + 911599648341/8414308662457*a^13 + 3809548093591/8414308662457*a^12 + 1977279762604/8414308662457*a^11 + 3038910506438/8414308662457*a^10 + 3746115864124/8414308662457*a^9 + 2700192574522/8414308662457*a^8 - 22374834409/8414308662457*a^7 - 255585237953/8414308662457*a^6 + 2604693543451/8414308662457*a^5 + 3335216626050/8414308662457*a^4 + 3223659848019/8414308662457*a^3 - 2350614517044/8414308662457*a^2 - 4153444775324/8414308662457*a - 574856945719/8414308662457], 0, 1, [], 0, [ (619063442844)/(8414308662457)*a^(15) + (523683608346)/(8414308662457)*a^(14) + (2984998104338)/(8414308662457)*a^(13) - (7414287284898)/(8414308662457)*a^(12) + (12535154282580)/(8414308662457)*a^(11) - (20365429193758)/(8414308662457)*a^(10) + (54465267649773)/(8414308662457)*a^(9) - (47122920854838)/(8414308662457)*a^(8) + (92368085841106)/(8414308662457)*a^(7) - (43959811909578)/(8414308662457)*a^(6) + (54834145031469)/(8414308662457)*a^(5) - (28267098109214)/(8414308662457)*a^(4) + (12256338225330)/(8414308662457)*a^(3) - (24666665651580)/(8414308662457)*a^(2) - (536801927363)/(8414308662457)*a - (7438503790045)/(8414308662457) , (1168144371141)/(8414308662457)*a^(15) + (356990320735)/(8414308662457)*a^(14) + (3938581981016)/(8414308662457)*a^(13) - (17463595980512)/(8414308662457)*a^(12) + (25784980557788)/(8414308662457)*a^(11) - (35115415536372)/(8414308662457)*a^(10) + (92667031681965)/(8414308662457)*a^(9) - (91228870028309)/(8414308662457)*a^(8) + (102090506820877)/(8414308662457)*a^(7) - (44395902823784)/(8414308662457)*a^(6) - (82203054354670)/(8414308662457)*a^(5) + (49511266183382)/(8414308662457)*a^(4) - (61993052600580)/(8414308662457)*a^(3) + (35193133552466)/(8414308662457)*a^(2) - (2359483013131)/(8414308662457)*a + (11357985042443)/(8414308662457) , (751874367357)/(8414308662457)*a^(15) + (907320226314)/(8414308662457)*a^(14) + (3126767231920)/(8414308662457)*a^(13) - (8469395810410)/(8414308662457)*a^(12) + (8441284707800)/(8414308662457)*a^(11) - (11519079130036)/(8414308662457)*a^(10) + (44309745341581)/(8414308662457)*a^(9) - (15443066142134)/(8414308662457)*a^(8) + (37871109414805)/(8414308662457)*a^(7) + (22725981426318)/(8414308662457)*a^(6) - (38620858344043)/(8414308662457)*a^(5) - (9974183807599)/(8414308662457)*a^(4) - (36850634359649)/(8414308662457)*a^(3) - (26065285693740)/(8414308662457)*a^(2) - (18429070932570)/(8414308662457)*a + (663477792869)/(8414308662457) , (2011786534197)/(8414308662457)*a^(15) + (401264458349)/(8414308662457)*a^(14) + (9072537076456)/(8414308662457)*a^(13) - (29181274253035)/(8414308662457)*a^(12) + (58555004138534)/(8414308662457)*a^(11) - (95760553905917)/(8414308662457)*a^(10) + (216046335548479)/(8414308662457)*a^(9) - (261811775488995)/(8414308662457)*a^(8) + (411383292340969)/(8414308662457)*a^(7) - (295433562859533)/(8414308662457)*a^(6) + (238074936775254)/(8414308662457)*a^(5) - (135193999826776)/(8414308662457)*a^(4) + (30627338073958)/(8414308662457)*a^(3) - (67256611891683)/(8414308662457)*a^(2) - (10574583714555)/(8414308662457)*a - (14515160230664)/(8414308662457) , (260622460852)/(8414308662457)*a^(15) - (1903462245260)/(8414308662457)*a^(14) + (2044627128484)/(8414308662457)*a^(13) - (11181314374755)/(8414308662457)*a^(12) + (42247923739823)/(8414308662457)*a^(11) - (82774786728754)/(8414308662457)*a^(10) + (141299141286063)/(8414308662457)*a^(9) - (278264396928840)/(8414308662457)*a^(8) + (402729350744338)/(8414308662457)*a^(7) - (492622877090664)/(8414308662457)*a^(6) + (465558601934244)/(8414308662457)*a^(5) - (270615005372884)/(8414308662457)*a^(4) + (161872370649400)/(8414308662457)*a^(3) - (43017593693482)/(8414308662457)*a^(2) + (23482528487673)/(8414308662457)*a - (24188194349540)/(8414308662457) , (1610522075848)/(8414308662457)*a^(15) - (624126481319)/(8414308662457)*a^(14) + (6065226782339)/(8414308662457)*a^(13) - (27382682365659)/(8414308662457)*a^(12) + (57749804402995)/(8414308662457)*a^(11) - (86486797624332)/(8414308662457)*a^(10) + (188160850113106)/(8414308662457)*a^(9) - (272849547524761)/(8414308662457)*a^(8) + (352742425181830)/(8414308662457)*a^(7) - (292094115531147)/(8414308662457)*a^(6) + (196231721592694)/(8414308662457)*a^(5) - (97420595738036)/(8414308662457)*a^(4) + (49601073144913)/(8414308662457)*a^(3) - (32540589766764)/(8414308662457)*a^(2) - (4473732146348)/(8414308662457)*a - (8479800628073)/(8414308662457) , (654801978549)/(8414308662457)*a^(15) - (186338552107)/(8414308662457)*a^(14) + (2902131717790)/(8414308662457)*a^(13) - (10887597340076)/(8414308662457)*a^(12) + (23029406856789)/(8414308662457)*a^(11) - (41251489799994)/(8414308662457)*a^(10) + (82755143256296)/(8414308662457)*a^(9) - (109951827002037)/(8414308662457)*a^(8) + (168800956063501)/(8414308662457)*a^(7) - (151868918502673)/(8414308662457)*a^(6) + (75088564804834)/(8414308662457)*a^(5) - (56929132731652)/(8414308662457)*a^(4) + (6366354816698)/(8414308662457)*a^(3) - (8647854682609)/(8414308662457)*a^(2) + (16047702781098)/(8414308662457)*a + (7147240897040)/(8414308662457) ], 21197.6456389, [[x^2 + 2, 1], [x^2 - x + 1, 1], [x^2 - 6, 1], [x^4 + 6*x^2 + 3, 1], [x^4 - 6*x^2 + 3, 1], [x^4 - 2*x^2 + 4, 1], [x^8 - 6*x^6 + 21*x^4 - 54*x^2 + 81, 1], [x^8 + 2*x^6 + x^4 - 6*x^2 + 3, 1], [x^8 - 2*x^6 + x^4 + 6*x^2 + 3, 1]]]