/* 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^14 - 8*x^12 + 5*x^10 + 88*x^8 - 238*x^6 + 200*x^4 - 39*x^2 + 2, 14, 51, [12, 1], -8115190831314403328, [2, 3967], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/4*a^8 - 1/2*a^7 - 1/4*a^6 - 1/2*a^4 - 1/2*a^3 - 1/4*a^2 - 1/2, 1/4*a^9 - 1/4*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/4*a^3 - 1/2*a^2 - 1/2*a, 1/4*a^10 + 1/4*a^6 - 1/2*a^5 + 1/4*a^4 + 1/4*a^2 - 1/2, 1/4*a^11 + 1/4*a^7 - 1/2*a^6 + 1/4*a^5 + 1/4*a^3 - 1/2*a, 1/412*a^12 - 15/206*a^10 + 47/412*a^8 - 1/2*a^7 - 19/412*a^6 - 129/412*a^4 + 77/206*a^2 - 7/103, 1/412*a^13 - 15/206*a^11 + 47/412*a^9 - 19/412*a^7 - 1/2*a^6 - 129/412*a^5 + 77/206*a^3 - 1/2*a^2 - 7/103*a], 0, 1, [], 0, [ (33)/(412)*a^(13) + (22)/(103)*a^(12) - (269)/(412)*a^(11) - (683)/(412)*a^(10) + (53)/(103)*a^(9) + (325)/(412)*a^(8) + (2875)/(412)*a^(7) + (3799)/(206)*a^(6) - (2120)/(103)*a^(5) - (19695)/(412)*a^(4) + (1940)/(103)*a^(3) + (3903)/(103)*a^(2) - (334)/(103)*a - (410)/(103) , (65)/(412)*a^(13) - (15)/(103)*a^(12) - (151)/(206)*a^(11) + (179)/(206)*a^(10) - (1065)/(412)*a^(9) + (119)/(103)*a^(8) + (4533)/(412)*a^(7) - (1157)/(103)*a^(6) + (1915)/(412)*a^(5) + (2325)/(206)*a^(4) - (5295)/(206)*a^(3) + (368)/(103)*a^(2) + (266)/(103)*a - (95)/(103) , (31)/(103)*a^(13) + (1)/(206)*a^(12) - (521)/(206)*a^(11) + (43)/(412)*a^(10) + (221)/(103)*a^(9) - (159)/(206)*a^(8) + (5723)/(206)*a^(7) - (347)/(412)*a^(6) - (8222)/(103)*a^(5) + (3553)/(412)*a^(4) + (13565)/(206)*a^(3) - (3709)/(412)*a^(2) - (765)/(103)*a + (75)/(206) , (141)/(412)*a^(13) + (5)/(412)*a^(12) - (285)/(103)*a^(11) - (47)/(412)*a^(10) + (189)/(103)*a^(9) + (29)/(412)*a^(8) + (3167)/(103)*a^(7) + (313)/(206)*a^(6) - (34463)/(412)*a^(5) - (290)/(103)*a^(4) + (26967)/(412)*a^(3) + (255)/(412)*a^(2) - (1047)/(206)*a + (33)/(206) , (31)/(103)*a^(13) - (1)/(206)*a^(12) - (521)/(206)*a^(11) - (43)/(412)*a^(10) + (221)/(103)*a^(9) + (159)/(206)*a^(8) + (5723)/(206)*a^(7) + (347)/(412)*a^(6) - (8222)/(103)*a^(5) - (3553)/(412)*a^(4) + (13565)/(206)*a^(3) + (3709)/(412)*a^(2) - (765)/(103)*a - (75)/(206) , (49)/(412)*a^(13) - (5)/(412)*a^(12) - (117)/(206)*a^(11) - (14)/(103)*a^(10) - (787)/(412)*a^(9) + (589)/(412)*a^(8) + (3601)/(412)*a^(7) + (95)/(412)*a^(6) + (1095)/(412)*a^(5) - (6565)/(412)*a^(4) - (2285)/(103)*a^(3) + (4559)/(206)*a^(2) + (790)/(103)*a - (171)/(103) , (129)/(412)*a^(13) - (9)/(103)*a^(12) - (493)/(206)*a^(11) + (359)/(412)*a^(10) + (295)/(412)*a^(9) - (559)/(412)*a^(8) + (11351)/(412)*a^(7) - (962)/(103)*a^(6) - (26323)/(412)*a^(5) + (13193)/(412)*a^(4) + (4503)/(103)*a^(3) - (2931)/(103)*a^(2) - (594)/(103)*a + (252)/(103) , (27)/(103)*a^(13) - (93)/(412)*a^(12) - (871)/(412)*a^(11) + (365)/(206)*a^(10) + (136)/(103)*a^(9) - (177)/(206)*a^(8) + (9793)/(412)*a^(7) - (2056)/(103)*a^(6) - (25983)/(412)*a^(5) + (20855)/(412)*a^(4) + (19207)/(412)*a^(3) - (15455)/(412)*a^(2) - (379)/(206)*a + (581)/(206) , (53)/(412)*a^(13) - (457)/(412)*a^(11) + (431)/(412)*a^(9) + (2535)/(206)*a^(7) - (3692)/(103)*a^(5) + (11355)/(412)*a^(3) - (1)/(2)*a^(2) - (227)/(206)*a , (27)/(103)*a^(13) + (93)/(412)*a^(12) - (871)/(412)*a^(11) - (365)/(206)*a^(10) + (136)/(103)*a^(9) + (177)/(206)*a^(8) + (9793)/(412)*a^(7) + (2056)/(103)*a^(6) - (25983)/(412)*a^(5) - (20855)/(412)*a^(4) + (19207)/(412)*a^(3) + (15455)/(412)*a^(2) - (379)/(206)*a - (581)/(206) , (161)/(412)*a^(13) - (93)/(412)*a^(12) - (332)/(103)*a^(11) + (365)/(206)*a^(10) + (975)/(412)*a^(9) - (177)/(206)*a^(8) + (14863)/(412)*a^(7) - (2056)/(103)*a^(6) - (40751)/(412)*a^(5) + (20855)/(412)*a^(4) + (15281)/(206)*a^(3) - (15661)/(412)*a^(2) - (303)/(103)*a + (787)/(206) , (31)/(103)*a^(13) + (19)/(206)*a^(12) - (939)/(412)*a^(11) - (79)/(103)*a^(10) + (133)/(206)*a^(9) + (241)/(412)*a^(8) + (10725)/(412)*a^(7) + (3501)/(412)*a^(6) - (25163)/(412)*a^(5) - (2410)/(103)*a^(4) + (17757)/(412)*a^(3) + (7809)/(412)*a^(2) - (1221)/(206)*a - (429)/(206) ], 72386.2571671, [[x^7 - 2*x^6 - 10*x^5 + 8*x^4 + 29*x^3 - 4*x^2 - 25*x - 8, 1]]]