/* 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 - 8*x^15 + 44*x^14 - 168*x^13 + 502*x^12 - 1192*x^11 + 2302*x^10 - 3634*x^9 + 4876*x^8 - 5664*x^7 + 5834*x^6 - 5216*x^5 + 3955*x^4 - 2394*x^3 + 1128*x^2 - 366*x + 93, 16, 39, [0, 8], 51399544780206637056, [2, 3, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/1407*a^12 - 2/469*a^11 + 305/1407*a^10 - 3/67*a^9 - 102/469*a^8 + 43/469*a^7 - 178/1407*a^6 + 102/469*a^5 - 17/201*a^4 + 225/469*a^3 - 202/469*a^2 - 46/469*a - 177/469, 1/1407*a^13 + 269/1407*a^11 + 120/469*a^10 - 228/469*a^9 - 100/469*a^8 + 596/1407*a^7 + 215/469*a^6 + 310/1407*a^5 - 13/469*a^4 + 30/67*a^3 + 149/469*a^2 + 16/469*a - 124/469, 1/66129*a^14 - 1/9447*a^13 + 5/66129*a^12 + 61/66129*a^11 - 5396/22043*a^10 + 4695/22043*a^9 - 29080/66129*a^8 + 4681/9447*a^7 + 27310/66129*a^6 + 7055/66129*a^5 - 1141/3149*a^4 + 8222/22043*a^3 - 2572/22043*a^2 - 9666/22043*a + 7731/22043, 1/103756401*a^15 + 37/4940781*a^14 + 15338/103756401*a^13 - 2963/14822343*a^12 + 656306/4940781*a^11 - 4786477/103756401*a^10 + 40255268/103756401*a^9 - 1333052/4940781*a^8 + 35465848/103756401*a^7 + 43149767/103756401*a^6 + 14294605/34585467*a^5 - 335285/14822343*a^4 - 7729891/34585467*a^3 - 13724555/34585467*a^2 - 1592495/11528489*a + 10786813/34585467], 0, 2, [2], 1, [ (121798)/(14822343)*a^(15) - (262655)/(4940781)*a^(14) + (3630695)/(14822343)*a^(13) - (77916092)/(103756401)*a^(12) + (57927580)/(34585467)*a^(11) - (5931026)/(2207583)*a^(10) + (37380326)/(14822343)*a^(9) - (1899344)/(34585467)*a^(8) - (335529305)/(103756401)*a^(7) + (545647010)/(103756401)*a^(6) - (266673877)/(34585467)*a^(5) + (131971357)/(14822343)*a^(4) - (294994492)/(34585467)*a^(3) + (159498274)/(34585467)*a^(2) - (12775142)/(11528489)*a - (3803978)/(34585467) , (231629)/(14822343)*a^(15) - (449107)/(4940781)*a^(14) + (6274108)/(14822343)*a^(13) - (125994229)/(103756401)*a^(12) + (91974604)/(34585467)*a^(11) - (395044001)/(103756401)*a^(10) + (40462846)/(14822343)*a^(9) + (104501882)/(34585467)*a^(8) - (1019251231)/(103756401)*a^(7) + (1678524811)/(103756401)*a^(6) - (699457117)/(34585467)*a^(5) + (370621193)/(14822343)*a^(4) - (16192006)/(735861)*a^(3) + (505170494)/(34585467)*a^(2) - (59547275)/(11528489)*a + (85021385)/(34585467) , (231629)/(14822343)*a^(15) - (236346)/(1646927)*a^(14) + (11732659)/(14822343)*a^(13) - (324444487)/(103756401)*a^(12) + (323299073)/(34585467)*a^(11) - (2313657995)/(103756401)*a^(10) + (632222179)/(14822343)*a^(9) - (2293701020)/(34585467)*a^(8) + (8977853498)/(103756401)*a^(7) - (10370643638)/(103756401)*a^(6) + (3487495741)/(34585467)*a^(5) - (1306159693)/(14822343)*a^(4) + (2208242320)/(34585467)*a^(3) - (1272646147)/(34585467)*a^(2) + (173447656)/(11528489)*a - (164855986)/(34585467) , (2563033)/(103756401)*a^(15) - (2634367)/(11528489)*a^(14) + (134802140)/(103756401)*a^(13) - (540309746)/(103756401)*a^(12) + (183795456)/(11528489)*a^(11) - (4004882386)/(103756401)*a^(10) + (1111842656)/(14822343)*a^(9) - (4060272178)/(34585467)*a^(8) + (235212697)/(1548603)*a^(7) - (17613873583)/(103756401)*a^(6) + (1945171108)/(11528489)*a^(5) - (2142489239)/(14822343)*a^(4) + (3451465907)/(34585467)*a^(3) - (1738287776)/(34585467)*a^(2) + (204060201)/(11528489)*a - (161961320)/(34585467) , (1845064)/(103756401)*a^(15) - (2976193)/(34585467)*a^(14) + (41890649)/(103756401)*a^(13) - (108595919)/(103756401)*a^(12) + (79311472)/(34585467)*a^(11) - (329927179)/(103756401)*a^(10) + (293989505)/(103756401)*a^(9) + (2051850)/(11528489)*a^(8) - (152330711)/(103756401)*a^(7) + (516855917)/(103756401)*a^(6) - (196787776)/(34585467)*a^(5) + (895916767)/(103756401)*a^(4) - (29420356)/(4940781)*a^(3) + (126048919)/(34585467)*a^(2) - (2483266)/(11528489)*a + (18800)/(735861) , (846830)/(103756401)*a^(15) - (2117075)/(34585467)*a^(14) + (33789151)/(103756401)*a^(13) - (123302569)/(103756401)*a^(12) + (117709811)/(34585467)*a^(11) - (797802830)/(103756401)*a^(10) + (1460329246)/(103756401)*a^(9) - (240926687)/(11528489)*a^(8) + (2784576257)/(103756401)*a^(7) - (3134816960)/(103756401)*a^(6) + (1066726222)/(34585467)*a^(5) - (2786708368)/(103756401)*a^(4) + (684802975)/(34585467)*a^(3) - (381078220)/(34585467)*a^(2) + (50448639)/(11528489)*a - (30123244)/(34585467) , (3812)/(66129)*a^(14) - (3812)/(9447)*a^(13) + (137171)/(66129)*a^(12) - (476134)/(66129)*a^(11) + (1295831)/(66129)*a^(10) - (916854)/(22043)*a^(9) + (4638871)/(66129)*a^(8) - (885622)/(9447)*a^(7) + (7099741)/(66129)*a^(6) - (7061114)/(66129)*a^(5) + (880726)/(9447)*a^(4) - (1444560)/(22043)*a^(3) + (658065)/(22043)*a^(2) - (155725)/(22043)*a - (75931)/(22043) ], 8148.71784457, [[x^2 - x + 1, 1], [x^2 - 7, 1], [x^2 + 21, 1], [x^4 - 9*x^2 + 21, 1], [x^4 - x^3 + 2*x + 1, 1], [x^4 - 5*x^2 + 7, 2], [x^4 - 2*x^3 - 6*x + 9, 2], [x^4 + 7*x^2 + 49, 1], [x^4 - 3*x^2 + 3, 1], [x^4 - 21*x^2 + 147, 1], [x^8 - 2*x^7 - 6*x^6 + 22*x^5 + 94*x^4 + 66*x^3 - 54*x^2 - 54*x + 81, 1], [x^8 + 5*x^6 - 6*x^4 - 28*x^2 + 49, 1], [x^8 - 2*x^7 + 4*x^6 + 12*x^5 - 21*x^4 + 36*x^3 + 36*x^2 - 54*x + 81, 1], [x^8 - 2*x^7 + 4*x^5 + 10*x^4 - 48*x^3 + 72*x^2 - 48*x + 12, 1], [x^8 - x^6 + 2*x^2 + 1, 1], [x^8 - 2*x^7 - 6*x^6 + 10*x^5 - 17*x^4 - 42*x^3 + 228*x^2 + 504*x + 273, 1], [x^8 + 11*x^6 + 60*x^4 + 98*x^2 + 49, 1]]]