/* 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 + 14*x^14 - 26*x^13 + 64*x^12 - 130*x^11 + 257*x^10 - 292*x^9 + 398*x^8 - 462*x^7 + 212*x^6 + 70*x^5 + 24*x^4 - 206*x^3 + 29*x^2 + 88*x + 41, 16, 1584, [0, 8], 37935534080000000000000, [2, 5, 1361], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^8 - 1/2*a^4 - 1/2, 1/2*a^11 - 1/2*a^9 - 1/2*a^5 - 1/2*a, 1/20*a^12 + 1/5*a^11 + 1/10*a^10 + 2/5*a^9 - 7/20*a^8 + 2/5*a^7 + 3/20*a^6 + 2/5*a^5 + 3/20*a^4 - 1/10*a^3 + 7/20*a^2 - 3/10*a - 9/20, 1/40*a^13 - 1/40*a^12 - 1/5*a^11 + 1/5*a^10 - 17/40*a^9 + 13/40*a^8 + 3/40*a^7 - 7/40*a^6 + 13/40*a^5 - 7/40*a^4 - 3/40*a^3 - 1/40*a^2 - 9/40*a + 3/8, 1/200*a^14 + 1/200*a^13 - 1/50*a^12 + 2/25*a^11 - 29/200*a^10 - 53/200*a^9 - 93/200*a^8 - 33/200*a^7 - 23/200*a^6 - 13/200*a^5 + 81/200*a^4 + 61/200*a^3 + 31/200*a^2 + 81/200*a + 12/25, 1/1030775580072400*a^15 - 1170225925501/1030775580072400*a^14 + 102895584981/17470772543600*a^13 + 13769735454389/1030775580072400*a^12 - 14532543278241/1030775580072400*a^11 + 47221134650557/206155116014480*a^10 - 24172948725983/257693895018100*a^9 - 1855024223597/4367693135900*a^8 - 223267162749651/515387790036200*a^7 + 330239041227/1091923283975*a^6 + 11337238245457/64423473754525*a^5 + 244136268445027/515387790036200*a^4 + 233588738760577/515387790036200*a^3 + 3295606386367/6781418289950*a^2 - 244350018193431/1030775580072400*a + 130281530289733/1030775580072400], 0, 4, [4], 0, [ (1661525857)/(114939293050)*a^(15) - (3656687071)/(114939293050)*a^(14) + (23493810959)/(114939293050)*a^(13) - (92893317177)/(229878586100)*a^(12) + (53748394482)/(57469646525)*a^(11) - (217969801509)/(114939293050)*a^(10) + (423910276223)/(114939293050)*a^(9) - (948413012549)/(229878586100)*a^(8) + (278931716014)/(57469646525)*a^(7) - (1197066207289)/(229878586100)*a^(6) + (115085772471)/(114939293050)*a^(5) + (1067183677573)/(229878586100)*a^(4) - (437413502641)/(114939293050)*a^(3) - (299630929497)/(229878586100)*a^(2) + (157893128479)/(114939293050)*a + (342827544979)/(229878586100) , (1834188799673)/(1030775580072400)*a^(15) + (2701195266901)/(1030775580072400)*a^(14) + (320641754349)/(17470772543600)*a^(13) + (31085043047871)/(1030775580072400)*a^(12) + (30256450643271)/(1030775580072400)*a^(11) + (37700675601599)/(1030775580072400)*a^(10) - (13878028523337)/(257693895018100)*a^(9) + (1002305663771)/(2183846567950)*a^(8) - (21777102676639)/(515387790036200)*a^(7) + (756850034078)/(1091923283975)*a^(6) - (318199271501569)/(257693895018100)*a^(5) + (158725510266423)/(515387790036200)*a^(4) - (522911700626367)/(515387790036200)*a^(3) + (8198252091433)/(6781418289950)*a^(2) + (325380275129461)/(1030775580072400)*a + (438902099471583)/(1030775580072400) , (5997626840229)/(1030775580072400)*a^(15) - (22669803862943)/(1030775580072400)*a^(14) + (1998298920103)/(17470772543600)*a^(13) - (334446811736963)/(1030775580072400)*a^(12) + (845031675981787)/(1030775580072400)*a^(11) - (1846717381941229)/(1030775580072400)*a^(10) + (1914094415435857)/(515387790036200)*a^(9) - (54182414883887)/(8735386271800)*a^(8) + (1149299215741163)/(128846947509050)*a^(7) - (98673313988607)/(8735386271800)*a^(6) + (1233668628686883)/(103077558007240)*a^(5) - (2269838489632667)/(257693895018100)*a^(4) + (828931265718853)/(257693895018100)*a^(3) - (40650403195721)/(27125673159800)*a^(2) + (3069057216438367)/(1030775580072400)*a - (1468756503205587)/(1030775580072400) , (5632253212523)/(1030775580072400)*a^(15) - (15850112852259)/(1030775580072400)*a^(14) + (1625966315849)/(17470772543600)*a^(13) - (226854782075439)/(1030775580072400)*a^(12) + (591517849530021)/(1030775580072400)*a^(11) - (1239865164295761)/(1030775580072400)*a^(10) + (1281515438093971)/(515387790036200)*a^(9) - (33105057560611)/(8735386271800)*a^(8) + (353806274052307)/(64423473754525)*a^(7) - (58370421187221)/(8735386271800)*a^(6) + (3277193773582307)/(515387790036200)*a^(5) - (1087977600301101)/(257693895018100)*a^(4) + (297856668413939)/(257693895018100)*a^(3) - (12913081730443)/(27125673159800)*a^(2) + (561542492273101)/(1030775580072400)*a - (208464894930767)/(1030775580072400) , (600331785823)/(51538779003620)*a^(15) - (11519047166059)/(515387790036200)*a^(14) + (693245673827)/(4367693135900)*a^(13) - (146463398223109)/(515387790036200)*a^(12) + (177101020282923)/(257693895018100)*a^(11) - (710949805641849)/(515387790036200)*a^(10) + (175037546189039)/(64423473754525)*a^(9) - (6035617836023)/(2183846567950)*a^(8) + (235332129185604)/(64423473754525)*a^(7) - (17784414544981)/(4367693135900)*a^(6) + (161246745113811)/(257693895018100)*a^(5) + (697642919094753)/(257693895018100)*a^(4) - (47126170600798)/(64423473754525)*a^(3) - (26450997542473)/(13562836579900)*a^(2) - (90274296772121)/(128846947509050)*a + (260715055554431)/(515387790036200) , (321017264184)/(64423473754525)*a^(15) - (1323282198613)/(103077558007240)*a^(14) + (29529916371)/(349415450872)*a^(13) - (9409953707761)/(51538779003620)*a^(12) + (6583852394822)/(12884694750905)*a^(11) - (508724432807963)/(515387790036200)*a^(10) + (218174526134207)/(103077558007240)*a^(9) - (5220009484787)/(1747077254360)*a^(8) + (470642969085867)/(103077558007240)*a^(7) - (8479029644677)/(1747077254360)*a^(6) + (2450658051247383)/(515387790036200)*a^(5) - (232743426939967)/(103077558007240)*a^(4) + (132287770455249)/(103077558007240)*a^(3) - (3054002310563)/(5425134631960)*a^(2) + (28141911894373)/(20615511601448)*a - (93161832575131)/(257693895018100) , (8139763201041)/(1030775580072400)*a^(15) - (33869676252711)/(1030775580072400)*a^(14) + (2398593064491)/(17470772543600)*a^(13) - (454648423196051)/(1030775580072400)*a^(12) + (882768485801279)/(1030775580072400)*a^(11) - (427739288922049)/(206155116014480)*a^(10) + (2018247598692029)/(515387790036200)*a^(9) - (54974809571339)/(8735386271800)*a^(8) + (916439113831511)/(128846947509050)*a^(7) - (89480973914879)/(8735386271800)*a^(6) + (3994398353664231)/(515387790036200)*a^(5) - (659209937532049)/(257693895018100)*a^(4) - (193161979076099)/(257693895018100)*a^(3) - (62493698447897)/(27125673159800)*a^(2) + (2202615006669339)/(1030775580072400)*a + (1103131104619453)/(1030775580072400) ], 24147.0382403, [[x^2 - x - 1, 1], [x^4 - 5*x^2 + 5, 1], [x^8 + 4*x^6 - 10*x^5 + 21*x^4 - 30*x^3 + 104*x^2 - 70*x + 41, 1]]]