/* 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 - 4*x^14 - 24*x^13 + 72*x^12 - 24*x^11 + 40*x^10 - 280*x^9 + 240*x^8 + 144*x^7 - 88*x^6 - 192*x^5 + 80*x^4 + 48*x^3 - 16*x + 4, 16, 39, [0, 8], 27487790694400000000, [2, 5], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/4*a^8 - 1/2*a^4 - 1/2, 1/4*a^9 - 1/2*a^5 - 1/2*a, 1/4*a^10 - 1/2*a^6 - 1/2*a^2, 1/4*a^11 - 1/2*a^7 - 1/2*a^3, 1/20*a^12 + 1/20*a^11 + 1/10*a^10 + 1/20*a^9 + 1/10*a^8 - 1/2*a^7 + 1/10*a^5 - 3/10*a^4 - 1/10*a^3 - 1/5*a^2 - 1/10*a - 1/5, 1/40*a^13 - 1/10*a^11 + 1/10*a^10 - 1/10*a^9 - 1/20*a^8 - 1/5*a^6 - 9/20*a^5 + 1/10*a^4 + 1/5*a^3 - 1/5*a^2 - 3/10*a + 1/10, 1/520*a^14 - 1/130*a^13 - 1/65*a^12 + 9/130*a^11 + 31/260*a^10 - 3/52*a^9 - 1/13*a^8 - 31/65*a^7 - 63/260*a^6 + 37/130*a^5 + 22/65*a^4 - 14/65*a^3 - 23/65*a^2 + 3/26*a - 5/13, 1/425389640*a^15 - 67897/85077928*a^14 - 2713281/425389640*a^13 + 3234843/212694820*a^12 + 310463/212694820*a^11 + 7419641/106347410*a^10 - 411577/21269482*a^9 + 982519/42538964*a^8 + 27036901/212694820*a^7 + 14092517/42538964*a^6 + 21854709/212694820*a^5 + 17994504/53173705*a^4 + 23904376/53173705*a^3 - 19032837/106347410*a^2 - 2292427/21269482*a - 37011999/106347410], 0, 2, [2], 1, [ (434211)/(53173705)*a^(15) - (1434637)/(85077928)*a^(14) - (11064627)/(106347410)*a^(13) - (47178607)/(212694820)*a^(12) + (127053829)/(106347410)*a^(11) + (30558611)/(53173705)*a^(10) - (103095774)/(53173705)*a^(9) - (1205512317)/(212694820)*a^(8) + (148446692)/(53173705)*a^(7) + (464041841)/(42538964)*a^(6) + (5799228)/(10634741)*a^(5) - (846061349)/(53173705)*a^(4) - (78522734)/(53173705)*a^(3) + (673786441)/(106347410)*a^(2) + (191674878)/(53173705)*a - (32543097)/(21269482) , (3732901)/(42538964)*a^(15) - (13175233)/(212694820)*a^(14) - (20034397)/(53173705)*a^(13) - (100704278)/(53173705)*a^(12) + (1673272771)/(212694820)*a^(11) - (309512447)/(53173705)*a^(10) + (877893409)/(212694820)*a^(9) - (1488056298)/(53173705)*a^(8) + (1899570811)/(53173705)*a^(7) + (451007449)/(106347410)*a^(6) - (1650502543)/(106347410)*a^(5) - (691334963)/(53173705)*a^(4) + (900141739)/(106347410)*a^(3) + (195655879)/(53173705)*a^(2) + (51936641)/(106347410)*a - (27835739)/(53173705) , (4704484)/(53173705)*a^(15) + (12128829)/(106347410)*a^(14) - (5844043)/(21269482)*a^(13) - (105516867)/(42538964)*a^(12) + (143559439)/(42538964)*a^(11) + (819901333)/(212694820)*a^(10) + (419027733)/(106347410)*a^(9) - (352803913)/(21269482)*a^(8) - (786458801)/(106347410)*a^(7) + (2506488459)/(106347410)*a^(6) + (14123747)/(4090285)*a^(5) - (510710573)/(106347410)*a^(4) - (167761833)/(21269482)*a^(3) - (20455353)/(106347410)*a^(2) - (35962423)/(53173705)*a + (27038111)/(53173705) , (211297)/(106347410)*a^(15) + (22055653)/(212694820)*a^(14) - (8530179)/(425389640)*a^(13) - (107885279)/(212694820)*a^(12) - (121980812)/(53173705)*a^(11) + (83495795)/(10634741)*a^(10) - (47464843)/(21269482)*a^(9) + (154654879)/(212694820)*a^(8) - (1424966269)/(53173705)*a^(7) + (518538143)/(21269482)*a^(6) + (5228327711)/(212694820)*a^(5) - (1300059636)/(53173705)*a^(4) - (800297691)/(53173705)*a^(3) + (113195618)/(10634741)*a^(2) + (122109209)/(21269482)*a - (241541671)/(106347410) , (164603293)/(425389640)*a^(15) + (17158577)/(106347410)*a^(14) - (640966171)/(425389640)*a^(13) - (2105074713)/(212694820)*a^(12) + (39008515)/(1636114)*a^(11) + (129762091)/(106347410)*a^(10) + (1452244301)/(106347410)*a^(9) - (1650413843)/(16361140)*a^(8) + (10503601731)/(212694820)*a^(7) + (900823440)/(10634741)*a^(6) - (1960930377)/(212694820)*a^(5) - (839223613)/(10634741)*a^(4) + (31705183)/(21269482)*a^(3) + (1140379974)/(53173705)*a^(2) + (59208461)/(8180570)*a - (275238373)/(106347410) , (8701207)/(106347410)*a^(15) + (62709)/(53173705)*a^(14) - (23469081)/(106347410)*a^(13) - (409782733)/(212694820)*a^(12) + (583831471)/(106347410)*a^(11) - (967488391)/(212694820)*a^(10) + (2072304647)/(212694820)*a^(9) - (1016032093)/(42538964)*a^(8) + (265280819)/(10634741)*a^(7) - (1550735757)/(106347410)*a^(6) + (1014755837)/(106347410)*a^(5) - (91412327)/(53173705)*a^(4) + (152178759)/(53173705)*a^(3) - (870686519)/(106347410)*a^(2) + (284329993)/(106347410)*a + (687071)/(8180570) , (26862241)/(106347410)*a^(15) + (751475)/(10634741)*a^(14) - (208753241)/(212694820)*a^(13) - (335964126)/(53173705)*a^(12) + (3483863187)/(212694820)*a^(11) - (74553535)/(42538964)*a^(10) + (418549637)/(42538964)*a^(9) - (14222842279)/(212694820)*a^(8) + (4375561207)/(106347410)*a^(7) + (5052956501)/(106347410)*a^(6) - (668567421)/(53173705)*a^(5) - (4716115463)/(106347410)*a^(4) + (377797233)/(106347410)*a^(3) + (297370007)/(21269482)*a^(2) + (69742649)/(21269482)*a - (278706637)/(106347410) ], 2548.59228871, [[x^2 + 1, 1], [x^2 + 10, 1], [x^2 - 10, 1], [x^4 - 10*x^2 + 50, 1], [x^4 - 4*x^2 + 5, 1], [x^4 - 2*x^3 + 2, 1], [x^4 - 2*x^2 + 2, 1], [x^4 - 6*x^2 - 1, 2], [x^4 - 2*x^2 + 10, 2], [x^4 + 25, 1], [x^8 + 22*x^4 + 81, 1], [x^8 - 4*x^7 + 16*x^6 - 32*x^5 + 50*x^4 - 64*x^3 + 44*x^2 - 32*x + 26, 1], [x^8 - 2*x^6 + 2*x^2 + 1, 1], [x^8 - 6*x^6 + 4*x^4 + 10*x^2 + 25, 1], [x^8 - 8*x^6 + 22*x^4 - 8*x^2 + 1, 1], [x^8 - 4*x^7 + 20*x^6 - 44*x^5 + 96*x^4 - 132*x^3 + 140*x^2 - 108*x + 41, 1], [x^8 + 2*x^6 - 16*x^5 + 8*x^4 + 4*x^3 + 6*x^2 + 4*x + 1, 1]]]