/* 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 - 16*x^14 + 100*x^12 - 400*x^10 + 1242*x^8 - 1712*x^6 + 1900*x^4 - 1136*x^2 + 529, 16, 227, [0, 8], 484116351470433472610304, [2, 3], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/2*a^8 - 1/2, 1/4*a^9 - 1/4*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/4*a + 1/4, 1/4*a^10 - 1/4*a^8 + 1/4*a^2 - 1/4, 1/4*a^11 - 1/4*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/4*a^3 - 1/2*a^2 - 1/2*a + 1/4, 1/28*a^12 + 1/28*a^10 + 3/14*a^8 + 1/7*a^6 - 1/4*a^4 - 1/4*a^2 + 5/14, 1/28*a^13 + 1/28*a^11 - 1/28*a^9 - 1/4*a^8 - 5/14*a^7 - 1/2*a^6 + 1/4*a^5 - 1/2*a^4 + 1/4*a^3 - 1/2*a^2 - 11/28*a + 1/4, 1/351311716*a^14 + 1003095/175655858*a^12 + 661798/87827929*a^10 - 2569653/11332636*a^8 - 160451503/351311716*a^6 - 1657341/25093694*a^4 - 9855028/87827929*a^2 + 56935629/351311716, 1/8080169468*a^15 - 24090599/4040084734*a^13 - 135368125/8080169468*a^11 + 134461/18617902*a^9 - 61527661/351311716*a^7 - 127125811/577154962*a^5 - 829871473/8080169468*a^3 + 1578003419/4040084734*a], 0, 2, [2], 0, [ -(2223)/(404737)*a^(14) + (36633)/(404737)*a^(12) - (236573)/(404737)*a^(10) + (1906213)/(809474)*a^(8) - (2932191)/(404737)*a^(6) + (4130692)/(404737)*a^(4) - (3151001)/(404737)*a^(2) + (2498009)/(809474) , -(1992693)/(351311716)*a^(14) + (7725638)/(87827929)*a^(12) - (183380245)/(351311716)*a^(10) + (11230019)/(5666318)*a^(8) - (2070292897)/(351311716)*a^(6) + (76925492)/(12546847)*a^(4) - (1908907345)/(351311716)*a^(2) + (49435971)/(175655858) , (4048515)/(351311716)*a^(14) - (15227553)/(87827929)*a^(12) + (344795371)/(351311716)*a^(10) - (10173283)/(2833159)*a^(8) + (3665736903)/(351311716)*a^(6) - (102725024)/(12546847)*a^(4) + (3342964883)/(351311716)*a^(2) - (154431696)/(87827929) , (15112506)/(2020042367)*a^(15) + (380927)/(50187388)*a^(14) - (232380469)/(2020042367)*a^(13) - (20153699)/(175655858)*a^(12) + (5439861337)/(8080169468)*a^(11) + (114316049)/(175655858)*a^(10) - (93883045)/(37235804)*a^(9) - (26841055)/(11332636)*a^(8) + (651411694)/(87827929)*a^(7) + (2404048529)/(351311716)*a^(6) - (2035570123)/(288577481)*a^(5) - (131470185)/(25093694)*a^(4) + (52383795493)/(8080169468)*a^(3) + (128945593)/(25093694)*a^(2) - (12423913225)/(8080169468)*a - (552477857)/(351311716) , -(1172335)/(577154962)*a^(15) - (438657)/(351311716)*a^(14) + (255545421)/(8080169468)*a^(13) + (3280875)/(175655858)*a^(12) - (1511825345)/(8080169468)*a^(11) - (36251835)/(351311716)*a^(10) + (90669115)/(130325314)*a^(9) + (2067879)/(5666318)*a^(8) - (356217297)/(175655858)*a^(7) - (370790549)/(351311716)*a^(6) + (2341813603)/(1154309924)*a^(5) + (14822163)/(25093694)*a^(4) - (1917088259)/(1154309924)*a^(3) + (81924277)/(351311716)*a^(2) + (5170521129)/(4040084734)*a + (76237845)/(175655858) , -(16253131)/(8080169468)*a^(15) + (2494479)/(351311716)*a^(14) + (215867579)/(8080169468)*a^(13) - (18284705)/(175655858)*a^(12) - (978606851)/(8080169468)*a^(11) + (197666961)/(351311716)*a^(10) + (97422491)/(260650628)*a^(9) - (5592213)/(2833159)*a^(8) - (347655533)/(351311716)*a^(7) + (1966234555)/(351311716)*a^(6) - (1033391887)/(1154309924)*a^(5) - (66421227)/(25093694)*a^(4) - (11084779003)/(8080169468)*a^(3) + (1352133261)/(351311716)*a^(2) - (16637408919)/(8080169468)*a + (95651154)/(87827929) , -(133963735)/(4040084734)*a^(15) + (2318073)/(87827929)*a^(14) + (1051088586)/(2020042367)*a^(13) - (75765289)/(175655858)*a^(12) - (12640063419)/(4040084734)*a^(11) + (484254933)/(175655858)*a^(10) + (1548217443)/(130325314)*a^(9) - (31268052)/(2833159)*a^(8) - (879231949)/(25093694)*a^(7) + (2970017375)/(87827929)*a^(6) + (10595793407)/(288577481)*a^(5) - (1163440437)/(25093694)*a^(4) - (99089559837)/(4040084734)*a^(3) + (6289897689)/(175655858)*a^(2) + (2517135193)/(577154962)*a - (1158562898)/(87827929) ], 183327.10379822497, [[x^2 - 2, 1], [x^4 - 2, 1], [x^4 + 12*x^2 + 18, 1], [x^4 - 6*x^2 - 9, 1], [x^8 - 4*x^4 + 8*x^2 + 2, 1], [x^8 - 36*x^4 - 216*x^2 + 162, 1], [x^8 - 8*x^6 - 8*x^5 + 26*x^4 + 56*x^3 + 48*x^2 + 32*x + 31, 1]]]