/* 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 - 2*x^15 + 13*x^14 - 15*x^13 + 53*x^12 - 35*x^11 + 110*x^10 + 8*x^9 + 171*x^8 + 63*x^7 + 141*x^6 + 52*x^5 + 59*x^4 + 11*x^3 + 11*x^2 - x + 1, 16, 388, [0, 8], 3825351667312890625, [5, 29, 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, 1/2429169427331*a^15 - 687872493938/2429169427331*a^14 + 331016494487/2429169427331*a^13 - 773033658448/2429169427331*a^12 + 493445676686/2429169427331*a^11 + 299471501680/2429169427331*a^10 - 432992119213/2429169427331*a^9 - 325676504836/2429169427331*a^8 - 226567997289/2429169427331*a^7 + 358509478058/2429169427331*a^6 - 876177293923/2429169427331*a^5 + 473907863693/2429169427331*a^4 + 476825050822/2429169427331*a^3 + 279515620458/2429169427331*a^2 - 551384892190/2429169427331*a + 1187477338513/2429169427331], 0, 1, [], 1, [ (6962984)/(85356809)*a^(15) - (12715517)/(85356809)*a^(14) + (71846697)/(85356809)*a^(13) - (50538702)/(85356809)*a^(12) + (134844188)/(85356809)*a^(11) + (124252178)/(85356809)*a^(10) - (139141212)/(85356809)*a^(9) + (955385395)/(85356809)*a^(8) - (456476730)/(85356809)*a^(7) + (882612349)/(85356809)*a^(6) - (1005737351)/(85356809)*a^(5) + (416728510)/(85356809)*a^(4) - (449392415)/(85356809)*a^(3) + (143719680)/(85356809)*a^(2) - (41477685)/(85356809)*a + (141470298)/(85356809) , (661898073340)/(2429169427331)*a^(15) - (800280574056)/(2429169427331)*a^(14) + (7372326700415)/(2429169427331)*a^(13) - (2865719171765)/(2429169427331)*a^(12) + (25000176990096)/(2429169427331)*a^(11) + (6059899589514)/(2429169427331)*a^(10) + (45747448199270)/(2429169427331)*a^(9) + (64743491583088)/(2429169427331)*a^(8) + (99225041072793)/(2429169427331)*a^(7) + (120145622508022)/(2429169427331)*a^(6) + (93109930312149)/(2429169427331)*a^(5) + (78317324374858)/(2429169427331)*a^(4) + (38085322712799)/(2429169427331)*a^(3) + (21170496944055)/(2429169427331)*a^(2) + (3704119463142)/(2429169427331)*a + (2494443559018)/(2429169427331) , (272398220027)/(2429169427331)*a^(15) - (91019681159)/(2429169427331)*a^(14) + (2761004211161)/(2429169427331)*a^(13) + (1214422299185)/(2429169427331)*a^(12) + (9927814749852)/(2429169427331)*a^(11) + (8438341101058)/(2429169427331)*a^(10) + (24920545236434)/(2429169427331)*a^(9) + (32866388603733)/(2429169427331)*a^(8) + (70184055476039)/(2429169427331)*a^(7) + (70477506764823)/(2429169427331)*a^(6) + (72390601406740)/(2429169427331)*a^(5) + (47601688432749)/(2429169427331)*a^(4) + (28738334993665)/(2429169427331)*a^(3) + (12387807624288)/(2429169427331)*a^(2) - (1260829695646)/(2429169427331)*a - (1273144059735)/(2429169427331) , (623558535443)/(2429169427331)*a^(15) - (799542411196)/(2429169427331)*a^(14) + (6875585835195)/(2429169427331)*a^(13) - (3207236070761)/(2429169427331)*a^(12) + (22729384186618)/(2429169427331)*a^(11) + (2676228842651)/(2429169427331)*a^(10) + (40410167774487)/(2429169427331)*a^(9) + (51267559352797)/(2429169427331)*a^(8) + (83027054963615)/(2429169427331)*a^(7) + (90358705282344)/(2429169427331)*a^(6) + (50234406773655)/(2429169427331)*a^(5) + (47419821354024)/(2429169427331)*a^(4) + (5709147861124)/(2429169427331)*a^(3) + (9632716513744)/(2429169427331)*a^(2) - (4899003675195)/(2429169427331)*a + (1867896351825)/(2429169427331) , (1350727251148)/(2429169427331)*a^(15) - (2635394951748)/(2429169427331)*a^(14) + (16668657224994)/(2429169427331)*a^(13) - (17809525159707)/(2429169427331)*a^(12) + (60918605621129)/(2429169427331)*a^(11) - (32239459242983)/(2429169427331)*a^(10) + (109421600043287)/(2429169427331)*a^(9) + (42079170308221)/(2429169427331)*a^(8) + (163044503383201)/(2429169427331)*a^(7) + (83041689661607)/(2429169427331)*a^(6) + (97506388261108)/(2429169427331)*a^(5) + (41965996873927)/(2429169427331)*a^(4) + (18212569450378)/(2429169427331)*a^(3) - (7755319877426)/(2429169427331)*a^(2) - (3265736501667)/(2429169427331)*a - (2474902654190)/(2429169427331) , (957865805940)/(2429169427331)*a^(15) - (2222578056916)/(2429169427331)*a^(14) + (13074664309984)/(2429169427331)*a^(13) - (18663103804883)/(2429169427331)*a^(12) + (56217391437111)/(2429169427331)*a^(11) - (53924795349414)/(2429169427331)*a^(10) + (122684269086810)/(2429169427331)*a^(9) - (42861655251971)/(2429169427331)*a^(8) + (177804820514253)/(2429169427331)*a^(7) - (22472722157682)/(2429169427331)*a^(6) + (121144349338322)/(2429169427331)*a^(5) - (24136958957838)/(2429169427331)*a^(4) + (33393066993900)/(2429169427331)*a^(3) - (20112174323229)/(2429169427331)*a^(2) + (1508884856683)/(2429169427331)*a - (3921298882732)/(2429169427331) , (118552528751)/(2429169427331)*a^(15) + (184737319871)/(2429169427331)*a^(14) + (535783969489)/(2429169427331)*a^(13) + (3681548571748)/(2429169427331)*a^(12) - (1507638701188)/(2429169427331)*a^(11) + (16459166542359)/(2429169427331)*a^(10) - (6154594172696)/(2429169427331)*a^(9) + (38088014095005)/(2429169427331)*a^(8) + (13199658290783)/(2429169427331)*a^(7) + (51325711142935)/(2429169427331)*a^(6) + (4910705179046)/(2429169427331)*a^(5) + (12439129131374)/(2429169427331)*a^(4) - (12150291588960)/(2429169427331)*a^(3) - (3485040868033)/(2429169427331)*a^(2) - (6682023314572)/(2429169427331)*a - (686903237566)/(2429169427331) ], 269.451023349, [[x^2 - x - 1, 1], [x^4 - 2*x^3 + 23*x^2 - 22*x + 116, 1], [x^4 - 2*x^3 + 6*x^2 - 5*x + 5, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^8 - 2*x^7 + 4*x^6 - 3*x^5 + 2*x^4 - x^3 - 6*x^2 + 5*x - 1, 2], [x^8 + 3*x^6 - 2*x^5 + x^4 - 3*x^3 + x^2 + 5*x + 5, 2], [x^8 - 2*x^7 + 13*x^6 - 7*x^5 + 46*x^4 + 15*x^3 + 95*x^2 + 25*x + 25, 1]]]