/* 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 - 2*x^14 + 5*x^13 - 7*x^12 - 5*x^11 + 21*x^10 + 9*x^9 - 23*x^8 + 19*x^7 + 7*x^6 - 72*x^5 + 28*x^4 + 59*x^3 - 32*x^2 - 15*x + 9, 16, 1664, [4, 6], 1400490804023602281, [3, 19, 103], [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, 1/59076307869*a^15 + 20043601889/59076307869*a^14 + 16683274372/59076307869*a^13 + 14847393899/59076307869*a^12 - 9221854321/59076307869*a^11 + 14689057675/59076307869*a^10 - 4953938084/19692102623*a^9 - 2254823117/19692102623*a^8 - 2822483897/59076307869*a^7 - 12132948038/59076307869*a^6 + 5580212362/59076307869*a^5 - 3677944387/19692102623*a^4 - 21871561586/59076307869*a^3 - 2647496317/59076307869*a^2 + 6809754616/59076307869*a + 1090177467/19692102623], 0, 1, [], 1, [ (67105484299)/(59076307869)*a^(15) - (96893972023)/(59076307869)*a^(14) - (66422501282)/(59076307869)*a^(13) + (337643347049)/(59076307869)*a^(12) - (654978819898)/(59076307869)*a^(11) + (67516803418)/(59076307869)*a^(10) + (392520205039)/(19692102623)*a^(9) + (11826571571)/(19692102623)*a^(8) - (1135008907652)/(59076307869)*a^(7) + (1945500747043)/(59076307869)*a^(6) - (759824293622)/(59076307869)*a^(5) - (1311602645799)/(19692102623)*a^(4) + (3522260432521)/(59076307869)*a^(3) + (867741427718)/(59076307869)*a^(2) - (1757687230985)/(59076307869)*a + (134310151444)/(19692102623) , (83618707370)/(59076307869)*a^(15) - (129598614188)/(59076307869)*a^(14) - (64628059006)/(59076307869)*a^(13) + (428725639816)/(59076307869)*a^(12) - (867709927322)/(59076307869)*a^(11) + (185617292747)/(59076307869)*a^(10) + (476685299634)/(19692102623)*a^(9) - (48434114068)/(19692102623)*a^(8) - (1373932202584)/(59076307869)*a^(7) + (2668708062500)/(59076307869)*a^(6) - (1190089505497)/(59076307869)*a^(5) - (1552938248592)/(19692102623)*a^(4) + (4999011917024)/(59076307869)*a^(3) + (436701703450)/(59076307869)*a^(2) - (2408173605988)/(59076307869)*a + (254072820911)/(19692102623) , (64745571377)/(59076307869)*a^(15) - (107114565773)/(59076307869)*a^(14) - (49900521190)/(59076307869)*a^(13) + (343246068445)/(59076307869)*a^(12) - (692609561264)/(59076307869)*a^(11) + (177368226665)/(59076307869)*a^(10) + (386782357825)/(19692102623)*a^(9) - (62316547570)/(19692102623)*a^(8) - (1172192251672)/(59076307869)*a^(7) + (2045406705908)/(59076307869)*a^(6) - (1093609408705)/(59076307869)*a^(5) - (1252084841918)/(19692102623)*a^(4) + (4164339316952)/(59076307869)*a^(3) + (409363535131)/(59076307869)*a^(2) - (1953601470499)/(59076307869)*a + (220102015370)/(19692102623) , (27724881986)/(59076307869)*a^(15) - (67708709975)/(59076307869)*a^(14) + (6703523642)/(59076307869)*a^(13) + (177702876265)/(59076307869)*a^(12) - (405472023689)/(59076307869)*a^(11) + (267440623166)/(59076307869)*a^(10) + (174108634161)/(19692102623)*a^(9) - (165082635547)/(19692102623)*a^(8) - (585596858056)/(59076307869)*a^(7) + (1280327120762)/(59076307869)*a^(6) - (989646882154)/(59076307869)*a^(5) - (484812429937)/(19692102623)*a^(4) + (3185408799554)/(59076307869)*a^(3) - (742808817044)/(59076307869)*a^(2) - (1452559390417)/(59076307869)*a + (262661089067)/(19692102623) , (108975334349)/(59076307869)*a^(15) - (191741249708)/(59076307869)*a^(14) - (68535537574)/(59076307869)*a^(13) + (595649286082)/(59076307869)*a^(12) - (1222621536368)/(59076307869)*a^(11) + (395446316096)/(59076307869)*a^(10) + (655999281953)/(19692102623)*a^(9) - (179214968919)/(19692102623)*a^(8) - (2049396768055)/(59076307869)*a^(7) + (3698799997430)/(59076307869)*a^(6) - (2052136127146)/(59076307869)*a^(5) - (2085401886347)/(19692102623)*a^(4) + (7847768577389)/(59076307869)*a^(3) + (260505310756)/(59076307869)*a^(2) - (3771759912010)/(59076307869)*a + (456264329069)/(19692102623) , (8750476205)/(19692102623)*a^(15) - (29604992202)/(19692102623)*a^(14) + (13961463883)/(19692102623)*a^(13) + (65632200913)/(19692102623)*a^(12) - (168934306217)/(19692102623)*a^(11) + (160958515536)/(19692102623)*a^(10) + (160508341406)/(19692102623)*a^(9) - (304737569101)/(19692102623)*a^(8) - (207225921426)/(19692102623)*a^(7) + (563770200001)/(19692102623)*a^(6) - (514505469676)/(19692102623)*a^(5) - (371153056310)/(19692102623)*a^(4) + (1511420745969)/(19692102623)*a^(3) - (625494794985)/(19692102623)*a^(2) - (673248530749)/(19692102623)*a + (428529571519)/(19692102623) , (116965841983)/(59076307869)*a^(15) - (163592339062)/(59076307869)*a^(14) - (124885274618)/(59076307869)*a^(13) + (586147887791)/(59076307869)*a^(12) - (1110747056716)/(59076307869)*a^(11) + (59339789449)/(59076307869)*a^(10) + (690430082319)/(19692102623)*a^(9) + (50497255470)/(19692102623)*a^(8) - (2009809728959)/(59076307869)*a^(7) + (3282376291054)/(59076307869)*a^(6) - (1137758814734)/(59076307869)*a^(5) - (2295057551416)/(19692102623)*a^(4) + (5890067443867)/(59076307869)*a^(3) + (1989654599588)/(59076307869)*a^(2) - (3038816022434)/(59076307869)*a + (175963190325)/(19692102623) , (82230288052)/(59076307869)*a^(15) - (145459362172)/(59076307869)*a^(14) - (56960669876)/(59076307869)*a^(13) + (455703905639)/(59076307869)*a^(12) - (914787469315)/(59076307869)*a^(11) + (282994511980)/(59076307869)*a^(10) + (508494751050)/(19692102623)*a^(9) - (132000592295)/(19692102623)*a^(8) - (1643298873938)/(59076307869)*a^(7) + (2699910849247)/(59076307869)*a^(6) - (1486949297858)/(59076307869)*a^(5) - (1589513547016)/(19692102623)*a^(4) + (5971083870532)/(59076307869)*a^(3) + (604755624497)/(59076307869)*a^(2) - (2829595330436)/(59076307869)*a + (263370475921)/(19692102623) , (36301927478)/(19692102623)*a^(15) - (62929242981)/(19692102623)*a^(14) - (22776115534)/(19692102623)*a^(13) + (196576326508)/(19692102623)*a^(12) - (404404904343)/(19692102623)*a^(11) + (128446764867)/(19692102623)*a^(10) + (646509759510)/(19692102623)*a^(9) - (168891535305)/(19692102623)*a^(8) - (661148248525)/(19692102623)*a^(7) + (1226695174331)/(19692102623)*a^(6) - (667356104347)/(19692102623)*a^(5) - (2043939020343)/(19692102623)*a^(4) + (2567322245247)/(19692102623)*a^(3) + (70244249857)/(19692102623)*a^(2) - (1216349761995)/(19692102623)*a + (435207720443)/(19692102623) ], 767.372560815, [[x^4 - 4*x^2 - x + 1, 1], [x^8 - x^5 - x^4 - x^3 + 1, 1], [x^8 - x^7 - 8*x^6 + 9*x^5 + 17*x^4 - 20*x^3 - 8*x^2 + 10*x - 1, 1], [x^8 - x^7 - x^6 + 3*x^5 + 2*x^4 - 5*x^3 - x^2 - 2*x - 3, 1]]]