/* 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 - 6*x^15 + 15*x^14 - 25*x^13 + 46*x^12 - 55*x^11 - 21*x^10 + 10*x^9 + 431*x^8 - 1005*x^7 + 1020*x^6 - 536*x^5 + 201*x^4 - 210*x^3 + 235*x^2 - 125*x + 25, 16, 26, [0, 8], 259160193017822265625, [5, 101], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, 1/5*a^14 - 1/5*a^13 + 1/5*a^10 - 1/5*a^8 + 1/5*a^6 - 1/5*a^3 + 1/5*a^2, 1/303446943299705*a^15 + 3227185871093/303446943299705*a^14 - 18572026923504/303446943299705*a^13 - 23018696592666/60689388659941*a^12 - 55286005849044/303446943299705*a^11 - 992021517776/4273900609855*a^10 + 87593605145254/303446943299705*a^9 + 86202518741091/303446943299705*a^8 - 124313304000949/303446943299705*a^7 + 18232613995264/303446943299705*a^6 - 17829689650592/60689388659941*a^5 + 137424711053294/303446943299705*a^4 - 127113144115848/303446943299705*a^3 + 135091370659749/303446943299705*a^2 + 22400438888857/60689388659941*a - 21525443863274/60689388659941], 1, 2, [2], 0, [ (288400288519829)/(303446943299705)*a^(15) - (1582547595863341)/(303446943299705)*a^(14) + (3484503459847972)/(303446943299705)*a^(13) - (1057677517693594)/(60689388659941)*a^(12) + (10324971180907859)/(303446943299705)*a^(11) - (144243490551947)/(4273900609855)*a^(10) - (12062088875444794)/(303446943299705)*a^(9) - (2984501424348693)/(303446943299705)*a^(8) + (124325174034574294)/(303446943299705)*a^(7) - (224253872749207887)/(303446943299705)*a^(6) + (33632241384217198)/(60689388659941)*a^(5) - (55800031632142314)/(303446943299705)*a^(4) + (23918503026068076)/(303446943299705)*a^(3) - (48026636799527407)/(303446943299705)*a^(2) + (8275379516433274)/(60689388659941)*a - (2361379701181910)/(60689388659941) , (3957340686466)/(60689388659941)*a^(15) - (91260145906546)/(303446943299705)*a^(14) + (196059848966751)/(303446943299705)*a^(13) - (73651347298172)/(60689388659941)*a^(12) + (142154046648642)/(60689388659941)*a^(11) - (7561624427451)/(4273900609855)*a^(10) - (57120500918784)/(60689388659941)*a^(9) - (1076242672043404)/(303446943299705)*a^(8) + (1127334731052753)/(60689388659941)*a^(7) - (12182316128947636)/(303446943299705)*a^(6) + (3109178833424922)/(60689388659941)*a^(5) - (1774143090522532)/(60689388659941)*a^(4) + (2872246850015361)/(303446943299705)*a^(3) - (1954784985350091)/(303446943299705)*a^(2) + (686089241144098)/(60689388659941)*a - (529904667471560)/(60689388659941) , (17353377491144)/(303446943299705)*a^(15) - (59857595810439)/(303446943299705)*a^(14) + (10313784914717)/(60689388659941)*a^(13) - (10260071545931)/(60689388659941)*a^(12) + (245479075610254)/(303446943299705)*a^(11) + (730008545164)/(854780121971)*a^(10) - (1081106589923124)/(303446943299705)*a^(9) - (407138298215764)/(60689388659941)*a^(8) + (5302445010829219)/(303446943299705)*a^(7) - (99088567846893)/(60689388659941)*a^(6) - (863159227987446)/(60689388659941)*a^(5) + (2322164665184656)/(303446943299705)*a^(4) + (1124578976194489)/(303446943299705)*a^(3) - (84545936148700)/(60689388659941)*a^(2) - (105121011668637)/(60689388659941)*a - (4642499665301)/(60689388659941) , (394952163472646)/(303446943299705)*a^(15) - (1985327102814334)/(303446943299705)*a^(14) + (3965910465365353)/(303446943299705)*a^(13) - (1179810596575842)/(60689388659941)*a^(12) + (12234286468790711)/(303446943299705)*a^(11) - (134249887858728)/(4273900609855)*a^(10) - (18231742232456441)/(303446943299705)*a^(9) - (13549193600866742)/(303446943299705)*a^(8) + (158330395963563461)/(303446943299705)*a^(7) - (241036357711030348)/(303446943299705)*a^(6) + (31824867081895415)/(60689388659941)*a^(5) - (46727708519937881)/(303446943299705)*a^(4) + (28318834515164939)/(303446943299705)*a^(3) - (53880739977795353)/(303446943299705)*a^(2) + (7859244164270222)/(60689388659941)*a - (1743715644182320)/(60689388659941) , (194470322530403)/(303446943299705)*a^(15) - (1076152189833049)/(303446943299705)*a^(14) + (2395256914704376)/(303446943299705)*a^(13) - (731448110226813)/(60689388659941)*a^(12) + (7096787358926203)/(303446943299705)*a^(11) - (101161183050146)/(4273900609855)*a^(10) - (7920208563548413)/(303446943299705)*a^(9) - (1586160396705709)/(303446943299705)*a^(8) + (84120698295588053)/(303446943299705)*a^(7) - (154851215058099491)/(303446943299705)*a^(6) + (23805234290546510)/(60689388659941)*a^(5) - (41229239332963153)/(303446943299705)*a^(4) + (16699973605828424)/(303446943299705)*a^(3) - (32514777893512126)/(303446943299705)*a^(2) + (5817457006297994)/(60689388659941)*a - (1741765710418733)/(60689388659941) , (111117529726179)/(60689388659941)*a^(15) - (2999306736474067)/(303446943299705)*a^(14) + (6469036027172732)/(303446943299705)*a^(13) - (1945349199338659)/(60689388659941)*a^(12) + (3848471916664561)/(60689388659941)*a^(11) - (258051014778772)/(4273900609855)*a^(10) - (4841861117971411)/(60689388659941)*a^(9) - (8358732707081933)/(303446943299705)*a^(8) + (47505226298646784)/(60689388659941)*a^(7) - (411778424648010012)/(303446943299705)*a^(6) + (59364355755337953)/(60689388659941)*a^(5) - (18770844340394638)/(60689388659941)*a^(4) + (44146593974938977)/(303446943299705)*a^(3) - (89476134914421977)/(303446943299705)*a^(2) + (14545990344224163)/(60689388659941)*a - (3822450245468480)/(60689388659941) , (22522099734138)/(60689388659941)*a^(15) - (588140828315319)/(303446943299705)*a^(14) + (1229127865235184)/(303446943299705)*a^(13) - (370143560020243)/(60689388659941)*a^(12) + (744817765095139)/(60689388659941)*a^(11) - (45676448679739)/(4273900609855)*a^(10) - (1001904039759353)/(60689388659941)*a^(9) - (2699617768172486)/(303446943299705)*a^(8) + (9265940869949707)/(60689388659941)*a^(7) - (76679267719256979)/(303446943299705)*a^(6) + (11006939296325750)/(60689388659941)*a^(5) - (3413395590095831)/(60689388659941)*a^(4) + (6079713113620879)/(303446943299705)*a^(3) - (14435652260961704)/(303446943299705)*a^(2) + (2609441971735366)/(60689388659941)*a - (740153441342592)/(60689388659941) ], 19060.3137934, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - 2*x^3 - 4*x^2 + 5*x + 5, 1], [x^4 - x^3 + 11*x^2 - 6*x + 36, 1], [x^8 - 3*x^7 - 8*x^6 + 35*x^5 - 19*x^4 - 45*x^3 + 53*x^2 - 14*x + 1, 1], [x^8 - 2*x^7 + 8*x^6 - 9*x^5 + 18*x^4 - 17*x^3 + 6*x^2 - 5*x + 5, 1], [x^8 - x^7 + 6*x^6 - 11*x^5 + 21*x^4 - 5*x^3 + 10*x^2 + 25*x + 25, 1]]]