/* 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^15 - 2*x^14 + 3*x^13 - 5*x^12 + x^11 - 19*x^10 + 16*x^9 - 26*x^8 + 55*x^7 - 78*x^6 + 88*x^5 - 54*x^4 + 39*x^3 - 52*x^2 + 21*x - 1, 15, 3, [3, 6], 334095024862954369, [7, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/7*a^9 - 1/7*a^7 + 1/7*a^6 - 2/7*a^5 - 3/7*a^4 - 1/7*a^3 - 3/7*a^2 + 3/7*a - 1/7, 1/7*a^10 - 1/7*a^8 + 1/7*a^7 - 2/7*a^6 - 3/7*a^5 - 1/7*a^4 - 3/7*a^3 + 3/7*a^2 - 1/7*a, 1/7*a^11 + 1/7*a^8 - 3/7*a^7 - 2/7*a^6 - 3/7*a^5 + 1/7*a^4 + 2/7*a^3 + 3/7*a^2 + 3/7*a - 1/7, 1/7*a^12 - 3/7*a^8 - 1/7*a^7 + 3/7*a^6 + 3/7*a^5 - 2/7*a^4 - 3/7*a^3 - 1/7*a^2 + 3/7*a + 1/7, 1/7*a^13 - 1/7*a^8 - 1/7*a^6 - 1/7*a^5 + 2/7*a^4 + 3/7*a^3 + 1/7*a^2 + 3/7*a - 3/7, 1/2208935141*a^14 + 156905185/2208935141*a^13 + 140199210/2208935141*a^12 + 36539448/2208935141*a^11 - 71402612/2208935141*a^10 - 109948555/2208935141*a^9 + 231484205/2208935141*a^8 + 51920276/315562163*a^7 - 203771023/2208935141*a^6 - 198868886/2208935141*a^5 + 1005114245/2208935141*a^4 + 374781055/2208935141*a^3 + 397619944/2208935141*a^2 - 1047472032/2208935141*a - 538962771/2208935141], 0, 1, [], 0, [ (34796749)/(2208935141)*a^(14) + (63071795)/(2208935141)*a^(13) - (86108704)/(2208935141)*a^(12) + (84797679)/(2208935141)*a^(11) - (392890051)/(2208935141)*a^(10) - (905322246)/(2208935141)*a^(9) - (1884288083)/(2208935141)*a^(8) - (44267348)/(315562163)*a^(7) - (625010744)/(2208935141)*a^(6) + (2256343034)/(2208935141)*a^(5) - (3841303037)/(2208935141)*a^(4) + (4312154271)/(2208935141)*a^(3) + (919713390)/(2208935141)*a^(2) - (1255045132)/(2208935141)*a - (3545238008)/(2208935141) , (48710311)/(315562163)*a^(14) - (82013641)/(315562163)*a^(13) + (128597389)/(315562163)*a^(12) - (216522843)/(315562163)*a^(11) + (212379)/(45080309)*a^(10) - (954496707)/(315562163)*a^(9) + (64843152)/(45080309)*a^(8) - (1265184821)/(315562163)*a^(7) + (2328694817)/(315562163)*a^(6) - (3269922340)/(315562163)*a^(5) + (3586463521)/(315562163)*a^(4) - (256273689)/(45080309)*a^(3) + (1767428062)/(315562163)*a^(2) - (289166928)/(45080309)*a + (246247030)/(315562163) , (5700061)/(45080309)*a^(14) - (67185092)/(315562163)*a^(13) + (103262728)/(315562163)*a^(12) - (171327400)/(315562163)*a^(11) - (7909361)/(315562163)*a^(10) - (776415737)/(315562163)*a^(9) + (384082323)/(315562163)*a^(8) - (1016475415)/(315562163)*a^(7) + (1843409354)/(315562163)*a^(6) - (2589857714)/(315562163)*a^(5) + (2866941625)/(315562163)*a^(4) - (1426404346)/(315562163)*a^(3) + (1385802217)/(315562163)*a^(2) - (1609571834)/(315562163)*a + (652818627)/(315562163) , (356491850)/(2208935141)*a^(14) - (572280699)/(2208935141)*a^(13) + (870527907)/(2208935141)*a^(12) - (1584994221)/(2208935141)*a^(11) - (47231703)/(2208935141)*a^(10) - (7141812198)/(2208935141)*a^(9) + (3244700397)/(2208935141)*a^(8) - (171234215)/(45080309)*a^(7) + (18412473428)/(2208935141)*a^(6) - (21674293955)/(2208935141)*a^(5) + (26483556556)/(2208935141)*a^(4) - (14055339958)/(2208935141)*a^(3) + (15968057022)/(2208935141)*a^(2) - (18292832899)/(2208935141)*a + (2176049088)/(2208935141) , (284244736)/(2208935141)*a^(14) - (520788040)/(2208935141)*a^(13) + (712468109)/(2208935141)*a^(12) - (1263732863)/(2208935141)*a^(11) + (22603834)/(2208935141)*a^(10) - (5288860714)/(2208935141)*a^(9) + (3818393823)/(2208935141)*a^(8) - (800680957)/(315562163)*a^(7) + (15009433804)/(2208935141)*a^(6) - (18818810984)/(2208935141)*a^(5) + (20926370715)/(2208935141)*a^(4) - (9979420386)/(2208935141)*a^(3) + (8807319569)/(2208935141)*a^(2) - (12688719766)/(2208935141)*a + (3201360453)/(2208935141) , (34796749)/(2208935141)*a^(14) + (63071795)/(2208935141)*a^(13) - (86108704)/(2208935141)*a^(12) + (84797679)/(2208935141)*a^(11) - (392890051)/(2208935141)*a^(10) - (905322246)/(2208935141)*a^(9) - (1884288083)/(2208935141)*a^(8) - (44267348)/(315562163)*a^(7) - (625010744)/(2208935141)*a^(6) + (2256343034)/(2208935141)*a^(5) - (3841303037)/(2208935141)*a^(4) + (4312154271)/(2208935141)*a^(3) + (919713390)/(2208935141)*a^(2) - (1255045132)/(2208935141)*a - (1336302867)/(2208935141) , (553916156)/(2208935141)*a^(14) - (814591636)/(2208935141)*a^(13) + (1215810328)/(2208935141)*a^(12) - (2081999847)/(2208935141)*a^(11) - (617313189)/(2208935141)*a^(10) - (10705606487)/(2208935141)*a^(9) + (3124584207)/(2208935141)*a^(8) - (1788986939)/(315562163)*a^(7) + (23393183706)/(2208935141)*a^(6) - (30652065420)/(2208935141)*a^(5) + (30774562174)/(2208935141)*a^(4) - (12514592019)/(2208935141)*a^(3) + (13596901860)/(2208935141)*a^(2) - (21063011880)/(2208935141)*a + (407879985)/(2208935141) , (199374699)/(2208935141)*a^(14) - (288943861)/(2208935141)*a^(13) + (453091887)/(2208935141)*a^(12) - (772294482)/(2208935141)*a^(11) - (146495005)/(2208935141)*a^(10) - (3979024613)/(2208935141)*a^(9) + (1115019548)/(2208935141)*a^(8) - (717673700)/(315562163)*a^(7) + (8378973730)/(2208935141)*a^(6) - (12330600332)/(2208935141)*a^(5) + (11564692263)/(2208935141)*a^(4) - (7036534188)/(2208935141)*a^(3) + (5830661647)/(2208935141)*a^(2) - (8938603865)/(2208935141)*a + (1173219093)/(2208935141) ], 678.185779099, [[x^3 - x^2 - 2*x + 1, 1], [x^5 - x^4 - x^2 + 3*x - 1, 1]]]