/* 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^14 - 133*x^12 - 122*x^10 + 865*x^8 - 148*x^6 - 708*x^4 + 174*x^2 + 11, 16, 1774, [8, 4], 43237339986941127500000000, [2, 5, 11, 31], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/5*a^8 - 2/5*a^6 - 1/5*a^4 + 2/5*a^2 + 1/5, 1/5*a^9 - 2/5*a^7 - 1/5*a^5 + 2/5*a^3 + 1/5*a, 1/5*a^10 + 2/5, 1/5*a^11 + 2/5*a, 1/50*a^12 - 1/10*a^11 - 3/50*a^10 - 1/10*a^9 - 1/10*a^8 + 1/5*a^7 - 1/2*a^6 + 1/10*a^5 + 1/5*a^4 - 1/5*a^3 + 6/25*a^2 - 3/10*a - 21/50, 1/50*a^13 + 1/25*a^11 - 1/10*a^8 + 3/10*a^7 + 1/5*a^6 + 1/10*a^5 - 2/5*a^4 + 11/25*a^3 + 3/10*a^2 - 3/25*a - 1/10, 1/835818950*a^14 + 926759/417909475*a^12 - 3186514/417909475*a^10 - 1/10*a^9 + 12666323/167163790*a^8 + 1/5*a^7 + 10103509/167163790*a^6 - 2/5*a^5 + 126935351/417909475*a^4 + 3/10*a^3 - 101967552/417909475*a^2 - 1/10*a - 17277908/417909475, 1/835818950*a^15 + 926759/417909475*a^13 - 3186514/417909475*a^11 - 1/10*a^10 + 12666323/167163790*a^9 + 10103509/167163790*a^7 + 126935351/417909475*a^5 - 1/2*a^4 - 101967552/417909475*a^3 - 1/2*a^2 - 17277908/417909475*a - 1/5], 0, 1, [], 1, [ (44494)/(6850975)*a^(14) + (37076)/(6850975)*a^(12) - (5955479)/(6850975)*a^(10) - (900083)/(1370195)*a^(8) + (8665378)/(1370195)*a^(6) - (5622592)/(6850975)*a^(4) - (44250603)/(6850975)*a^(2) + (1943037)/(6850975) , (3838078)/(417909475)*a^(14) + (7396511)/(417909475)*a^(12) - (101069064)/(83581895)*a^(10) - (187611469)/(83581895)*a^(8) + (536325274)/(83581895)*a^(6) + (2063030306)/(417909475)*a^(4) - (2289051663)/(417909475)*a^(2) - (143563231)/(83581895) , (1123944)/(417909475)*a^(14) + (205395)/(16716379)*a^(12) - (142061101)/(417909475)*a^(10) - (132706406)/(83581895)*a^(8) + (7737216)/(83581895)*a^(6) + (2406008418)/(417909475)*a^(4) + (82047024)/(83581895)*a^(2) - (1254250887)/(417909475) , (10069069)/(417909475)*a^(14) + (15420023)/(417909475)*a^(12) - (265607278)/(83581895)*a^(10) - (385852542)/(83581895)*a^(8) + (1459793177)/(83581895)*a^(6) + (1774590213)/(417909475)*a^(4) - (4611050959)/(417909475)*a^(2) - (5464221)/(16716379) , (6552212)/(417909475)*a^(14) + (9658147)/(417909475)*a^(12) - (868629539)/(417909475)*a^(10) - (242516532)/(83581895)*a^(8) + (1064913332)/(83581895)*a^(6) + (1720052194)/(417909475)*a^(4) - (4988338446)/(417909475)*a^(2) + (236528052)/(417909475) , (344141)/(9718825)*a^(14) + (173096)/(9718825)*a^(12) - (46076762)/(9718825)*a^(10) - (3909821)/(1943765)*a^(8) + (67232846)/(1943765)*a^(6) - (159212533)/(9718825)*a^(4) - (292897603)/(9718825)*a^(2) + (104340166)/(9718825) , (18949011)/(835818950)*a^(15) + (8646181)/(417909475)*a^(14) + (1711241)/(83581895)*a^(13) + (10014869)/(417909475)*a^(12) - (1259831042)/(417909475)*a^(11) - (2296265837)/(835818950)*a^(10) - (411942671)/(167163790)*a^(9) - (247103484)/(83581895)*a^(8) + (3261049413)/(167163790)*a^(7) + (1450884701)/(83581895)*a^(6) - (2692560399)/(417909475)*a^(5) - (531082621)/(835818950)*a^(4) - (1216995272)/(83581895)*a^(3) - (12085500679)/(835818950)*a^(2) + (3150057166)/(417909475)*a + (1033758383)/(417909475) , (1283017)/(33432758)*a^(15) - (8145271)/(835818950)*a^(14) + (20378761)/(417909475)*a^(13) - (4359764)/(417909475)*a^(12) - (2124842673)/(417909475)*a^(11) + (1086351363)/(835818950)*a^(10) - (504927258)/(83581895)*a^(9) + (43318317)/(33432758)*a^(8) + (5138900013)/(167163790)*a^(7) - (297246407)/(33432758)*a^(6) + (41008279)/(83581895)*a^(5) - (915860257)/(835818950)*a^(4) - (20855978301)/(835818950)*a^(3) + (5874413939)/(835818950)*a^(2) + (2521256533)/(835818950)*a + (221301338)/(417909475) , (4653187)/(83581895)*a^(15) - (32850761)/(835818950)*a^(14) + (52808667)/(835818950)*a^(13) - (49603319)/(835818950)*a^(12) - (6180958631)/(835818950)*a^(11) + (4343403281)/(835818950)*a^(10) - (652108968)/(83581895)*a^(9) + (1243023867)/(167163790)*a^(8) + (7853281443)/(167163790)*a^(7) - (2520022581)/(83581895)*a^(6) - (22150857)/(83581895)*a^(5) - (3497839526)/(417909475)*a^(4) - (30338895161)/(835818950)*a^(3) + (20994508757)/(835818950)*a^(2) - (1193753956)/(417909475)*a + (431641891)/(417909475) , (7626089)/(417909475)*a^(15) + (280897)/(835818950)*a^(14) + (1465429)/(83581895)*a^(13) - (347344)/(417909475)*a^(12) - (1014540116)/(417909475)*a^(11) - (20425882)/(417909475)*a^(10) - (71403239)/(33432758)*a^(9) + (18025371)/(167163790)*a^(8) + (1325356049)/(83581895)*a^(7) + (139137501)/(167163790)*a^(6) - (1134517472)/(417909475)*a^(5) - (109953363)/(417909475)*a^(4) - (2013357647)/(167163790)*a^(3) - (1053883293)/(417909475)*a^(2) + (610950451)/(835818950)*a + (171104521)/(417909475) , (7626089)/(417909475)*a^(15) - (280897)/(835818950)*a^(14) + (1465429)/(83581895)*a^(13) + (347344)/(417909475)*a^(12) - (1014540116)/(417909475)*a^(11) + (20425882)/(417909475)*a^(10) - (71403239)/(33432758)*a^(9) - (18025371)/(167163790)*a^(8) + (1325356049)/(83581895)*a^(7) - (139137501)/(167163790)*a^(6) - (1134517472)/(417909475)*a^(5) + (109953363)/(417909475)*a^(4) - (2013357647)/(167163790)*a^(3) + (1053883293)/(417909475)*a^(2) + (610950451)/(835818950)*a - (171104521)/(417909475) ], 8313397.48178, [[x^2 - x - 1, 1], [x^4 - 2*x^3 - 8*x^2 + 9*x + 19, 1], [x^8 - 4*x^7 - 4*x^6 + 26*x^5 - x^4 - 46*x^3 + 13*x^2 + 15*x + 1, 1]]]