/* 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 - x^15 + 5*x^14 - 14*x^13 + 14*x^12 + 31*x^11 - 30*x^10 + 434*x^9 - 1059*x^8 + 2170*x^7 - 750*x^6 + 3875*x^5 + 8750*x^4 - 43750*x^3 + 78125*x^2 - 78125*x + 390625, 16, 2, [0, 8], 27204384060547119140625, [3, 5, 19], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/5*a^9 - 1/5*a^8 + 1/5*a^6 - 1/5*a^5 + 1/5*a^4 - 1/5*a^2 + 1/5*a, 1/275*a^10 - 1/25*a^9 - 2/5*a^8 + 1/25*a^7 - 11/25*a^6 - 109/275*a^5 + 2/5*a^4 - 6/25*a^3 - 9/25*a^2 + 2/5*a + 4/11, 1/1375*a^11 - 1/1375*a^10 + 1/25*a^9 + 51/125*a^8 + 24/125*a^7 + 331/1375*a^6 + 134/275*a^5 + 44/125*a^4 + 6/125*a^3 + 9/25*a^2 - 18/55*a - 3/11, 1/27500*a^12 + 1/6875*a^11 + 1/2500*a^9 + 226/625*a^8 - 756/6875*a^7 + 1/220*a^6 - 164/625*a^5 - 131/625*a^4 + 1/4*a^3 + 1/275*a^2 + 14/55*a - 1/4, 1/243237500*a^13 + 629/243237500*a^12 - 72/486475*a^11 + 3501/22112500*a^10 - 820971/22112500*a^9 + 14323994/60809375*a^8 + 327069/1945900*a^7 + 48514909/243237500*a^6 + 1234244/5528125*a^5 - 33807/176900*a^4 - 2004361/9729500*a^3 + 217994/486475*a^2 + 134413/389180*a + 1803/7076, 1/1216187500*a^14 - 1/1216187500*a^13 + 499/60809375*a^12 - 278489/1216187500*a^11 + 318389/1216187500*a^10 - 21552561/304046875*a^9 + 84062849/243237500*a^8 + 323550659/1216187500*a^7 - 18720796/304046875*a^6 + 41316639/243237500*a^5 + 13932769/48647500*a^4 + 784951/2432375*a^3 - 304223/1945900*a^2 - 61173/389180*a - 4705/19459, 1/6080937500*a^15 - 1/6080937500*a^14 + 1/1216187500*a^13 + 40493/3040468750*a^12 + 1195889/6080937500*a^11 + 2850031/6080937500*a^10 + 33321597/608093750*a^9 + 1328617559/6080937500*a^8 + 2921404941/6080937500*a^7 + 173040217/608093750*a^6 + 15754301/48647500*a^5 + 224859/48647500*a^4 + 633277/4864750*a^3 - 930101/1945900*a^2 + 35505/77836*a + 1139/77836], 1, 8, [8], 1, [ (3024)/(1520234375)*a^(15) - (6804)/(1520234375)*a^(14) + (35789)/(1520234375)*a^(12) + (756)/(1520234375)*a^(11) + (305424)/(1520234375)*a^(10) - (756)/(2432375)*a^(9) + (76356)/(138203125)*a^(8) - (4275936)/(1520234375)*a^(7) + (756)/(486475)*a^(6) + (76356)/(12161875)*a^(5) - (42336)/(2432375)*a^(4) + (756)/(44225)*a^(3) - (76356)/(486475)*a^(2) + (3024)/(19459)*a - (15679)/(19459) , (2601)/(1216187500)*a^(15) - (8201)/(243237500)*a^(14) + (63559)/(1216187500)*a^(13) - (28546)/(304046875)*a^(12) + (79309)/(243237500)*a^(11) - (101)/(884500)*a^(10) - (714826)/(304046875)*a^(9) + (5121579)/(1216187500)*a^(8) - (2289829)/(243237500)*a^(7) + (8003464)/(304046875)*a^(6) - (969701)/(22112500)*a^(5) - (2023559)/(48647500)*a^(4) + (12796)/(97295)*a^(3) - (28405)/(77836)*a^(2) + (459531)/(389180)*a - (203611)/(77836) , (559)/(6080937500)*a^(15) + (38783)/(3040468750)*a^(14) + (559)/(1216187500)*a^(13) - (3913)/(3040468750)*a^(12) + (3913)/(3040468750)*a^(11) + (17329)/(6080937500)*a^(10) - (1677)/(608093750)*a^(9) + (121303)/(3040468750)*a^(8) - (591981)/(6080937500)*a^(7) + (121303)/(608093750)*a^(6) - (1677)/(24323750)*a^(5) + (17329)/(48647500)*a^(4) + (3913)/(4864750)*a^(3) - (3913)/(972950)*a^(2) + (559)/(77836)*a - (78395)/(77836) , (29233)/(3040468750)*a^(15) - (7533)/(3040468750)*a^(14) - (35217)/(608093750)*a^(13) - (1917)/(276406250)*a^(12) - (1035163)/(3040468750)*a^(11) + (1987723)/(3040468750)*a^(10) - (129573)/(608093750)*a^(9) - (9491303)/(3040468750)*a^(8) - (295677)/(276406250)*a^(7) - (8715053)/(608093750)*a^(6) + (7620353)/(121618750)*a^(5) - (103977)/(24323750)*a^(4) + (17009)/(972950)*a^(3) - (135)/(3538)*a^(2) - (160463)/(194590)*a + (32880)/(19459) , (2923)/(6080937500)*a^(15) + (175937)/(6080937500)*a^(14) - (26789)/(1216187500)*a^(13) + (131039)/(3040468750)*a^(12) - (3634993)/(6080937500)*a^(11) + (940453)/(6080937500)*a^(10) + (237267)/(608093750)*a^(9) + (15134957)/(6080937500)*a^(8) + (24804783)/(6080937500)*a^(7) - (6597713)/(608093750)*a^(6) + (584003)/(48647500)*a^(5) - (127547)/(48647500)*a^(4) - (256559)/(4864750)*a^(3) - (69451)/(1945900)*a^(2) - (184153)/(389180)*a + (5767)/(7076) , (118367)/(6080937500)*a^(15) - (249301)/(3040468750)*a^(14) + (103727)/(608093750)*a^(13) - (2047763)/(6080937500)*a^(12) + (50141)/(104843750)*a^(11) + (3987581)/(3040468750)*a^(10) - (7515949)/(1216187500)*a^(9) + (47140639)/(3040468750)*a^(8) - (120655509)/(3040468750)*a^(7) + (85126661)/(1216187500)*a^(6) - (429351)/(24323750)*a^(5) - (917319)/(4864750)*a^(4) + (6364219)/(9729500)*a^(3) - (1645189)/(972950)*a^(2) + (111371)/(38918)*a - (39731)/(19459) , (12217)/(1216187500)*a^(15) + (53237)/(1216187500)*a^(14) + (41231)/(1216187500)*a^(13) + (189207)/(1216187500)*a^(12) - (759893)/(1216187500)*a^(11) - (784567)/(1216187500)*a^(10) + (572789)/(1216187500)*a^(9) + (4026333)/(1216187500)*a^(8) + (37636683)/(1216187500)*a^(7) + (6717379)/(1216187500)*a^(6) - (2406409)/(243237500)*a^(5) - (7392507)/(48647500)*a^(4) - (2352231)/(9729500)*a^(3) + (1243101)/(1945900)*a^(2) + (315511)/(389180)*a + (53553)/(19459) ], 49344.1781525, [[x^2 - x - 71, 1], [x^2 - x + 24, 1], [x^2 - x + 1, 1], [x^2 - x - 1, 1], [x^2 - x - 14, 1], [x^2 - x + 5, 1], [x^2 - x + 4, 1], [x^4 - x^3 - 23*x^2 - 24*x + 576, 1], [x^4 - 31*x^2 + 169, 1], [x^4 + 17*x^2 + 1, 1], [x^4 + 7*x^2 + 36, 1], [x^4 - x^3 + 7*x^2 - 39*x + 96, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 - x^3 - 4*x^2 - 5*x + 25, 1], [x^4 - x^3 + 71*x^2 - 71*x + 1051, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - x^3 - 24*x^2 + 24*x + 101, 1], [x^8 - 7*x^6 + 13*x^4 - 252*x^2 + 1296, 1], [x^8 - x^7 + 15*x^6 - 29*x^5 + 239*x^4 + 406*x^3 + 2940*x^2 + 2744*x + 38416, 1], [x^8 - x^7 - 35*x^6 + 21*x^5 + 364*x^4 + 31*x^3 - 1185*x^2 - 906*x - 59, 1], [x^8 - 2*x^7 + 12*x^6 - 20*x^5 + 131*x^4 - 70*x^3 + 703*x^2 - 21*x + 2011, 1], [x^8 - x^7 - 4*x^6 + 9*x^5 + 11*x^4 + 45*x^3 - 100*x^2 - 125*x + 625, 1], [x^8 - x^7 + 25*x^6 - 24*x^5 + 499*x^4 - 374*x^3 + 3000*x^2 + 2424*x + 10201, 1], [x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, 1]]]