/* 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 + 8*x^14 - 4*x^13 + 28*x^12 - 24*x^11 + 141*x^10 - 218*x^9 + 489*x^8 - 664*x^7 + 568*x^6 - 440*x^5 + 148*x^4 - 288*x^3 + 768*x^2 - 576*x + 144, 16, 23, [0, 8], 968265199641600000000, [2, 3, 5, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/3*a^9 + 1/3*a^5 - 1/3*a^4 + 1/3*a^3 + 1/3*a^2, 1/6*a^10 - 1/3*a^6 + 1/3*a^5 + 1/6*a^4 - 1/3*a^3 - 1/2*a^2, 1/6*a^11 - 1/3*a^7 + 1/3*a^6 + 1/6*a^5 - 1/3*a^4 - 1/2*a^3, 1/1608*a^12 - 1/12*a^11 + 1/268*a^10 - 32/201*a^9 + 1/6*a^8 + 2/67*a^7 + 79/536*a^6 - 13/201*a^5 + 515/1608*a^4 + 145/804*a^3 + 391/804*a^2 - 19/134*a + 51/134, 1/4824*a^13 - 1/4824*a^12 + 35/1206*a^11 + 137/2412*a^10 - 137/1206*a^9 - 323/1206*a^8 - 1955/4824*a^7 + 329/4824*a^6 - 419/1608*a^5 + 109/536*a^4 - 413/1206*a^3 - 347/804*a^2 - 32/201*a - 17/134, 1/9648*a^14 - 1/4824*a^12 + 1/804*a^11 - 79/2412*a^10 + 61/1206*a^9 + 2381/9648*a^8 + 209/1608*a^7 - 2185/9648*a^6 - 275/804*a^5 - 61/4824*a^4 - 176/603*a^3 - 127/268*a^2 - 125/402*a + 33/67, 1/22474639728*a^15 - 248399/5618659932*a^14 - 156535/1872886644*a^13 + 1575253/11237319864*a^12 - 29001841/624295548*a^11 - 145443173/1872886644*a^10 + 376936477/2497182192*a^9 - 5612596903/11237319864*a^8 - 10857099515/22474639728*a^7 - 192864377/416197032*a^6 + 7155442/20965149*a^5 + 2292729865/11237319864*a^4 + 379102421/1872886644*a^3 - 775112947/1872886644*a^2 - 947809/52024629*a + 87796993/312147774], 0, 4, [4], 0, [ (14848669)/(2809329966)*a^(15) + (36736547)/(22474639728)*a^(14) + (161933891)/(3745773288)*a^(13) - (94388689)/(11237319864)*a^(12) + (46016021)/(312147774)*a^(11) - (164612311)/(1872886644)*a^(10) + (225759953)/(312147774)*a^(9) - (21269027113)/(22474639728)*a^(8) + (13230571013)/(5618659932)*a^(7) - (7273600963)/(2497182192)*a^(6) + (26094343153)/(11237319864)*a^(5) - (22031558485)/(11237319864)*a^(4) + (647894575)/(1872886644)*a^(3) - (2587141829)/(1872886644)*a^(2) + (76104262)/(17341543)*a - (318548090)/(156073887) , (4224451)/(208098516)*a^(15) + (14812385)/(1248591096)*a^(14) + (8830021)/(52024629)*a^(13) + (22773203)/(1248591096)*a^(12) + (120083837)/(208098516)*a^(11) - (98077657)/(624295548)*a^(10) + (1708116185)/(624295548)*a^(9) - (3573088859)/(1248591096)*a^(8) + (425005361)/(52024629)*a^(7) - (1370604763)/(156073887)*a^(6) + (614494663)/(104049258)*a^(5) - (6716497711)/(1248591096)*a^(4) - (945500711)/(624295548)*a^(3) - (402755081)/(69366172)*a^(2) + (17740123)/(1552974)*a - (152181375)/(34683086) , (207055955)/(22474639728)*a^(15) + (164924945)/(22474639728)*a^(14) + (294103367)/(3745773288)*a^(13) + (306551477)/(11237319864)*a^(12) + (42622210)/(156073887)*a^(11) + (184889)/(27953532)*a^(10) + (3170140727)/(2497182192)*a^(9) - (22229526721)/(22474639728)*a^(8) + (79362060155)/(22474639728)*a^(7) - (2497284823)/(832394064)*a^(6) + (25186852963)/(11237319864)*a^(5) - (19143544405)/(11237319864)*a^(4) - (1304474693)/(1872886644)*a^(3) - (6997116173)/(1872886644)*a^(2) + (499049153)/(104049258)*a - (70204109)/(156073887) , (9131915)/(3745773288)*a^(15) - (20152991)/(7491546576)*a^(14) + (8761919)/(624295548)*a^(13) - (141605213)/(3745773288)*a^(12) + (6201947)/(208098516)*a^(11) - (102260747)/(624295548)*a^(10) + (33172649)/(138732344)*a^(9) - (7159839263)/(7491546576)*a^(8) + (464932783)/(468221661)*a^(7) - (2192900281)/(832394064)*a^(6) + (1038508439)/(936443322)*a^(5) - (4461138953)/(3745773288)*a^(4) + (27489827)/(156073887)*a^(3) - (383667955)/(624295548)*a^(2) + (96150965)/(34683086)*a - (85525741)/(52024629) , (6810989)/(11237319864)*a^(15) - (42628039)/(11237319864)*a^(14) - (2209703)/(3745773288)*a^(13) - (394916075)/(11237319864)*a^(12) - (2580293)/(312147774)*a^(11) - (214351769)/(1872886644)*a^(10) + (60421429)/(1248591096)*a^(9) - (6776822593)/(11237319864)*a^(8) + (2300784877)/(5618659932)*a^(7) - (223664888)/(156073887)*a^(6) + (10046454701)/(11237319864)*a^(5) - (1766374805)/(11237319864)*a^(4) + (34465727)/(468221661)*a^(3) + (533105093)/(1872886644)*a^(2) + (5901802)/(17341543)*a - (156080471)/(312147774) , (65165557)/(11237319864)*a^(15) + (52718363)/(5618659932)*a^(14) + (109168327)/(1872886644)*a^(13) + (710638469)/(11237319864)*a^(12) + (47947333)/(208098516)*a^(11) + (335312057)/(1872886644)*a^(10) + (1221246281)/(1248591096)*a^(9) + (220462244)/(1404664983)*a^(8) + (28619587123)/(11237319864)*a^(7) - (57701179)/(416197032)*a^(6) + (10879493537)/(5618659932)*a^(5) - (2413276909)/(11237319864)*a^(4) + (458776501)/(1872886644)*a^(3) - (3571255595)/(1872886644)*a^(2) + (145342097)/(104049258)*a - (17238775)/(312147774) , (1352159)/(239091912)*a^(15) + (1047389)/(239091912)*a^(14) + (2005523)/(39848652)*a^(13) + (1878893)/(119545956)*a^(12) + (1206263)/(6641442)*a^(11) - (76433)/(9962163)*a^(10) + (7300721)/(8855256)*a^(9) - (155723173)/(239091912)*a^(8) + (586968863)/(239091912)*a^(7) - (20161451)/(8855256)*a^(6) + (254017093)/(119545956)*a^(5) - (214884799)/(119545956)*a^(4) + (85949)/(9962163)*a^(3) - (19147276)/(9962163)*a^(2) + (2699219)/(1106907)*a - (1163785)/(3320721) ], 7388.19103958, [[x^2 - 7, 1], [x^2 - x - 5, 1], [x^2 + 5, 1], [x^2 - x + 4, 1], [x^2 - 3, 1], [x^2 - x + 9, 1], [x^2 + 105, 1], [x^4 - 2*x^3 + 13*x^2 - 12*x + 141, 1], [x^4 - 5*x^2 + 1, 1], [x^4 + x^2 + 4, 1], [x^4 - x^2 + 9, 1], [x^4 - x^3 + 4*x^2 - 15*x + 15, 1], [x^4 - 2*x^3 - 5*x^2 + 6*x + 114, 1], [x^4 - 2*x^3 + x^2 + 105, 1], [x^8 - 14*x^6 + 79*x^4 + 210*x^2 + 225, 1], [x^8 - 4*x^7 + 9*x^6 - 12*x^5 + 7*x^4 + 12*x^3 - 15*x^2 - 2*x + 1, 2], [x^8 - 4*x^7 + 9*x^6 - 12*x^5 + 20*x^4 - 42*x^3 + 56*x^2 - 36*x + 9, 2]]]