/* 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 + 50*x^12 - 114*x^10 + 1259*x^8 - 3294*x^6 + 11675*x^4 - 15881*x^2 + 22801, 16, 2, [0, 8], 605165749776000000000000, [2, 3, 5, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/3*a^12 - 1/3*a^10 + 1/3*a^6 - 1/3*a^2 + 1/3, 1/3*a^13 - 1/3*a^11 + 1/3*a^7 - 1/3*a^3 + 1/3*a, 1/24573148562793*a^14 - 2552008684120/24573148562793*a^12 + 114174152058/264227403901*a^10 - 8115531350084/24573148562793*a^8 + 1684474300064/8191049520931*a^6 - 343598590231/24573148562793*a^4 - 5135159655305/24573148562793*a^2 + 1516452978428/8191049520931, 1/3710545432981743*a^15 + 407000467362430/3710545432981743*a^13 + 40240860445225/119695013967153*a^11 + 1466273382417496/3710545432981743*a^9 - 838624677755701/3710545432981743*a^7 + 1105448086735454/3710545432981743*a^5 + 568238306809865/3710545432981743*a^3 - 716262998906644/3710545432981743*a], 1, 8, [2, 2, 2], 1, [ (50644)/(56103207)*a^(14) + (239786)/(56103207)*a^(12) + (817616)/(18701069)*a^(10) - (5550197)/(56103207)*a^(8) + (15116734)/(18701069)*a^(6) - (126037294)/(56103207)*a^(4) + (283867327)/(56103207)*a^(2) - (99308186)/(18701069) , (82653508894)/(3710545432981743)*a^(15) - (1213404164165)/(3710545432981743)*a^(13) - (219056591975)/(119695013967153)*a^(11) - (108301361946230)/(3710545432981743)*a^(9) + (44971765426310)/(3710545432981743)*a^(7) - (1676829864422158)/(3710545432981743)*a^(5) + (1421743999880285)/(3710545432981743)*a^(3) - (7718562943638358)/(3710545432981743)*a , (81428440)/(264227403901)*a^(14) + (1364672159)/(792682211703)*a^(12) + (11982022327)/(792682211703)*a^(10) - (6971930378)/(264227403901)*a^(8) + (163846353965)/(792682211703)*a^(6) - (92575539237)/(264227403901)*a^(4) + (675807890200)/(792682211703)*a^(2) - (26189237044)/(792682211703) , (94251889468)/(1236848477660581)*a^(15) + (205114046)/(346100683983)*a^(14) + (444150173405)/(1236848477660581)*a^(13) + (263323819)/(346100683983)*a^(12) + (136789064742)/(39898337989051)*a^(11) + (57903361)/(3721512731)*a^(10) - (9772317582108)/(1236848477660581)*a^(9) - (65579049718)/(346100683983)*a^(8) + (84762598464381)/(1236848477660581)*a^(7) + (61359875541)/(115366894661)*a^(6) - (65870425448707)/(1236848477660581)*a^(5) - (1172400834941)/(346100683983)*a^(4) + (261001229345088)/(1236848477660581)*a^(3) + (1978195696313)/(346100683983)*a^(2) + (1589048033205840)/(1236848477660581)*a - (1472994827356)/(115366894661) , (762949831688)/(3710545432981743)*a^(15) - (9290)/(29962833)*a^(14) - (1848662052415)/(3710545432981743)*a^(13) - (105265)/(29962833)*a^(12) + (152171816375)/(119695013967153)*a^(11) - (9073)/(322181)*a^(10) - (396486757724830)/(3710545432981743)*a^(9) - (2713175)/(29962833)*a^(8) + (834641207711530)/(3710545432981743)*a^(7) - (2761255)/(9987611)*a^(6) - (7175973115761242)/(3710545432981743)*a^(5) - (34185505)/(29962833)*a^(4) + (12166526957473795)/(3710545432981743)*a^(3) + (19653550)/(29962833)*a^(2) - (31699404870051245)/(3710545432981743)*a - (84471433)/(9987611) , (1356324175016)/(3710545432981743)*a^(15) + (3117333082)/(8191049520931)*a^(14) + (2056499574730)/(1236848477660581)*a^(13) + (21359547241)/(24573148562793)*a^(12) + (2171801565931)/(119695013967153)*a^(11) + (11853297983)/(792682211703)*a^(10) - (125933034021223)/(3710545432981743)*a^(9) - (608460954389)/(8191049520931)*a^(8) + (1520003077260395)/(3710545432981743)*a^(7) + (13311140382523)/(24573148562793)*a^(6) - (2533558149880898)/(3710545432981743)*a^(5) - (11902822003806)/(8191049520931)*a^(4) + (3749070743730342)/(1236848477660581)*a^(3) + (130071339824174)/(24573148562793)*a^(2) - (230229368324617)/(3710545432981743)*a - (125085770734325)/(24573148562793) , (44340142241)/(119695013967153)*a^(15) + (19969154780)/(24573148562793)*a^(14) + (230307292316)/(119695013967153)*a^(13) + (108223048063)/(24573148562793)*a^(12) + (2277354347969)/(119695013967153)*a^(11) + (12411993889)/(264227403901)*a^(10) - (2643404935801)/(119695013967153)*a^(9) - (498954388528)/(24573148562793)*a^(8) + (44893433256067)/(119695013967153)*a^(7) + (7915130099852)/(8191049520931)*a^(6) - (50711982480311)/(119695013967153)*a^(5) - (36118765604945)/(24573148562793)*a^(4) + (95927733520009)/(119695013967153)*a^(3) + (101742935776442)/(24573148562793)*a^(2) + (201168123984196)/(119695013967153)*a + (6700064623145)/(8191049520931) ], 67203.8653181, [[x^2 + 1, 1], [x^2 - 35, 1], [x^2 - x + 9, 1], [x^2 - x - 1, 1], [x^2 + 5, 1], [x^2 - 7, 1], [x^2 - x + 2, 1], [x^4 - 17*x^2 + 81, 1], [x^4 + 3*x^2 + 1, 1], [x^4 - 3*x^2 + 4, 1], [x^4 - 2*x^3 - 15*x^2 + 16*x + 29, 1], [x^4 - 2*x^3 + 15*x^2 - 14*x + 14, 1], [x^4 - x^3 + 5*x^2 + 2*x + 4, 1], [x^4 - x^2 + 9, 1], [x^4 - 105*x^2 + 2205, 1], [x^4 - x^3 + 26*x^2 - 26*x + 151, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 + 15*x^2 + 45, 1], [x^8 - 9*x^6 + 37*x^4 - 36*x^2 + 16, 1], [x^8 - 51*x^6 + 926*x^4 - 7176*x^2 + 22801, 1], [x^8 + 9*x^6 + 26*x^4 + 24*x^2 + 1, 1], [x^8 - 2*x^7 - 35*x^6 + 58*x^5 + 339*x^4 - 328*x^3 - 965*x^2 + 92*x + 421, 1], [x^8 - 3*x^6 + 14*x^4 + 48*x^2 + 361, 1], [x^8 - 4*x^7 + 44*x^6 - 118*x^5 + 529*x^4 - 866*x^3 + 1736*x^2 - 1322*x + 781, 1], [x^8 - 2*x^7 - 2*x^5 + 29*x^4 + 2*x^3 + 55*x^2 + 27*x + 151, 1]]]