/* 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 - 5*x^15 + 11*x^14 - 10*x^13 - 10*x^12 + 45*x^11 - 56*x^10 - 10*x^9 + 159*x^8 - 315*x^7 + 374*x^6 - 300*x^5 + 160*x^4 - 50*x^3 + 6*x^2 + 1, 16, 261, [0, 8], 5960322509765625, [3, 5, 61], [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, 1/673721*a^15 - 249772/673721*a^14 + 259698/673721*a^13 - 153659/673721*a^12 - 243043/673721*a^11 - 162237/673721*a^10 - 174543/673721*a^9 - 56997/673721*a^8 + 245128/673721*a^7 + 184105/673721*a^6 + 126252/673721*a^5 - 72179/673721*a^4 - 167786/673721*a^3 - 61551/673721*a^2 - 230876/673721*a + 78060/673721], 0, 1, [], 0, [ (218781)/(673721)*a^(15) - (1205064)/(673721)*a^(14) + (2769929)/(673721)*a^(13) - (2360384)/(673721)*a^(12) - (3129263)/(673721)*a^(11) + (12071045)/(673721)*a^(10) - (13660223)/(673721)*a^(9) - (5348436)/(673721)*a^(8) + (43601791)/(673721)*a^(7) - (77211895)/(673721)*a^(6) + (81171774)/(673721)*a^(5) - (54618681)/(673721)*a^(4) + (20858891)/(673721)*a^(3) - (1875146)/(673721)*a^(2) - (397623)/(673721)*a - (108769)/(673721) , (482684)/(673721)*a^(15) - (1943703)/(673721)*a^(14) + (3582498)/(673721)*a^(13) - (2164471)/(673721)*a^(12) - (5340613)/(673721)*a^(11) + (15578189)/(673721)*a^(10) - (14450503)/(673721)*a^(9) - (11596170)/(673721)*a^(8) + (59095259)/(673721)*a^(7) - (100993951)/(673721)*a^(6) + (109551278)/(673721)*a^(5) - (81034604)/(673721)*a^(4) + (39459604)/(673721)*a^(3) - (10713762)/(673721)*a^(2) + (713147)/(673721)*a + (466115)/(673721) , (230251)/(673721)*a^(15) - (754491)/(673721)*a^(14) + (964285)/(673721)*a^(13) + (319906)/(673721)*a^(12) - (2974975)/(673721)*a^(11) + (4619126)/(673721)*a^(10) - (568922)/(673721)*a^(9) - (9636982)/(673721)*a^(8) + (20201983)/(673721)*a^(7) - (23071479)/(673721)*a^(6) + (18126011)/(673721)*a^(5) - (10043116)/(673721)*a^(4) + (5678785)/(673721)*a^(3) - (3826671)/(673721)*a^(2) + (2546792)/(673721)*a - (135778)/(673721) , (454175)/(673721)*a^(15) - (2424725)/(673721)*a^(14) + (5393448)/(673721)*a^(13) - (4728866)/(673721)*a^(12) - (5648211)/(673721)*a^(11) + (23109088)/(673721)*a^(10) - (27308121)/(673721)*a^(9) - (8315144)/(673721)*a^(8) + (82829275)/(673721)*a^(7) - (153907044)/(673721)*a^(6) + (169885482)/(673721)*a^(5) - (121924408)/(673721)*a^(4) + (52252277)/(673721)*a^(3) - (8978345)/(673721)*a^(2) - (1518302)/(673721)*a - (319683)/(673721) , (429524)/(673721)*a^(15) - (1757651)/(673721)*a^(14) + (3253829)/(673721)*a^(13) - (1845435)/(673721)*a^(12) - (5122350)/(673721)*a^(11) + (14447146)/(673721)*a^(10) - (12882793)/(673721)*a^(9) - (12032708)/(673721)*a^(8) + (55160035)/(673721)*a^(7) - (90764969)/(673721)*a^(6) + (94107977)/(673721)*a^(5) - (64670755)/(673721)*a^(4) + (28117788)/(673721)*a^(3) - (6209452)/(673721)*a^(2) + (232129)/(673721)*a - (429567)/(673721) , (107622)/(673721)*a^(15) - (168005)/(673721)*a^(14) - (97529)/(673721)*a^(13) + (740489)/(673721)*a^(12) - (903363)/(673721)*a^(11) - (116978)/(673721)*a^(10) + (2717060)/(673721)*a^(9) - (3943755)/(673721)*a^(8) + (1619861)/(673721)*a^(7) + (2982305)/(673721)*a^(6) - (5502152)/(673721)*a^(5) + (4670839)/(673721)*a^(4) - (1068371)/(673721)*a^(3) - (216850)/(673721)*a^(2) - (506392)/(673721)*a + (346171)/(673721) , (750447)/(673721)*a^(15) - (3381232)/(673721)*a^(14) + (6353662)/(673721)*a^(13) - (3565260)/(673721)*a^(12) - (10573195)/(673721)*a^(11) + (28843137)/(673721)*a^(10) - (24687857)/(673721)*a^(9) - (26303930)/(673721)*a^(8) + (109912015)/(673721)*a^(7) - (172740553)/(673721)*a^(6) + (168480664)/(673721)*a^(5) - (106467252)/(673721)*a^(4) + (39661771)/(673721)*a^(3) - (7188747)/(673721)*a^(2) + (1301719)/(673721)*a - (821851)/(673721) ], 161.821613678, [[x^2 - x + 4, 1], [x^2 - x - 1, 1], [x^2 - x + 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^8 - 3*x^7 + 2*x^6 + 5*x^5 - 9*x^4 + 5*x^3 + 3*x^2 - 4*x + 1, 1], [x^8 - x^7 - x^6 + 3*x^5 - x^4 - 9*x^3 - 4*x^2 + 2*x + 1, 1], [x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, 1]]]