/* 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 - x^14 - x^13 + x^12 - 7*x^11 - 2*x^10 + 18*x^9 + 12*x^8 - 17*x^7 + 7*x^6 - 11*x^5 - 21*x^4 + 22*x^3 - 11*x^2 - 2*x - 1, 15, 46, [3, 6], 21643467887730481, [13, 47, 109], [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, 1/4823316529*a^14 - 240451914/4823316529*a^13 - 1467210693/4823316529*a^12 + 2044776038/4823316529*a^11 + 2380646120/4823316529*a^10 - 2290615831/4823316529*a^9 - 1561717558/4823316529*a^8 + 2080171999/4823316529*a^7 - 2386498101/4823316529*a^6 + 1715950732/4823316529*a^5 + 1834453739/4823316529*a^4 + 64937028/4823316529*a^3 + 593205418/4823316529*a^2 + 970975456/4823316529*a + 820723294/4823316529], 0, 1, [], 0, [ (438282190)/(4823316529)*a^(14) - (666156758)/(4823316529)*a^(13) - (180199038)/(4823316529)*a^(12) + (937506764)/(4823316529)*a^(11) - (3215866687)/(4823316529)*a^(10) + (764978875)/(4823316529)*a^(9) + (8142107838)/(4823316529)*a^(8) - (819825977)/(4823316529)*a^(7) - (12445039424)/(4823316529)*a^(6) + (7101345595)/(4823316529)*a^(5) - (2075689344)/(4823316529)*a^(4) - (3242761291)/(4823316529)*a^(3) + (18275305195)/(4823316529)*a^(2) - (11471590121)/(4823316529)*a - (1755151205)/(4823316529) , (279318677)/(4823316529)*a^(14) - (570733139)/(4823316529)*a^(13) - (97673519)/(4823316529)*a^(12) + (286289673)/(4823316529)*a^(11) - (2256835527)/(4823316529)*a^(10) + (1369023982)/(4823316529)*a^(9) + (6081306034)/(4823316529)*a^(8) + (1059190063)/(4823316529)*a^(7) - (6065350387)/(4823316529)*a^(6) + (5660375798)/(4823316529)*a^(5) - (6997088601)/(4823316529)*a^(4) - (5291197834)/(4823316529)*a^(3) + (4910463282)/(4823316529)*a^(2) - (11751794763)/(4823316529)*a + (4235471514)/(4823316529) , (38028855)/(4823316529)*a^(14) + (30131136)/(4823316529)*a^(13) - (41830710)/(4823316529)*a^(12) + (95826109)/(4823316529)*a^(11) + (13051036)/(4823316529)*a^(10) - (448791598)/(4823316529)*a^(9) + (291200427)/(4823316529)*a^(8) + (903950089)/(4823316529)*a^(7) - (1148631260)/(4823316529)*a^(6) - (1349674114)/(4823316529)*a^(5) + (1574584533)/(4823316529)*a^(4) + (638893288)/(4823316529)*a^(3) - (3508838763)/(4823316529)*a^(2) + (1850995278)/(4823316529)*a + (1978357973)/(4823316529) , (566139539)/(4823316529)*a^(14) - (325368897)/(4823316529)*a^(13) - (420696872)/(4823316529)*a^(12) + (578463500)/(4823316529)*a^(11) - (3451205678)/(4823316529)*a^(10) - (2747557933)/(4823316529)*a^(9) + (7365442564)/(4823316529)*a^(8) + (6303751499)/(4823316529)*a^(7) - (9186881148)/(4823316529)*a^(6) + (2757048777)/(4823316529)*a^(5) - (662352361)/(4823316529)*a^(4) - (5601051546)/(4823316529)*a^(3) + (12324635935)/(4823316529)*a^(2) + (209859584)/(4823316529)*a - (2375337177)/(4823316529) , (469621379)/(4823316529)*a^(14) + (58489305)/(4823316529)*a^(13) - (825121412)/(4823316529)*a^(12) + (90755217)/(4823316529)*a^(11) - (2804712262)/(4823316529)*a^(10) - (4403499472)/(4823316529)*a^(9) + (6154418487)/(4823316529)*a^(8) + (12709698685)/(4823316529)*a^(7) - (2583762033)/(4823316529)*a^(6) - (4750900235)/(4823316529)*a^(5) - (1059112278)/(4823316529)*a^(4) - (12098985853)/(4823316529)*a^(3) + (4091725504)/(4823316529)*a^(2) + (10667639529)/(4823316529)*a - (2580378452)/(4823316529) , (1205387739)/(4823316529)*a^(14) - (816773200)/(4823316529)*a^(13) - (1373326882)/(4823316529)*a^(12) + (706262859)/(4823316529)*a^(11) - (7858948337)/(4823316529)*a^(10) - (4862149836)/(4823316529)*a^(9) + (19365056971)/(4823316529)*a^(8) + (20389332875)/(4823316529)*a^(7) - (14912893927)/(4823316529)*a^(6) + (1147428040)/(4823316529)*a^(5) - (12087988177)/(4823316529)*a^(4) - (21912285059)/(4823316529)*a^(3) + (18575332517)/(4823316529)*a^(2) - (6222009777)/(4823316529)*a + (700795973)/(4823316529) , (667132927)/(4823316529)*a^(14) - (753110120)/(4823316529)*a^(13) - (1017644411)/(4823316529)*a^(12) + (516490886)/(4823316529)*a^(11) - (4405300094)/(4823316529)*a^(10) - (813451459)/(4823316529)*a^(9) + (14786449294)/(4823316529)*a^(8) + (11452381693)/(4823316529)*a^(7) - (13822873461)/(4823316529)*a^(6) - (3214737208)/(4823316529)*a^(5) - (9422680395)/(4823316529)*a^(4) - (15211313221)/(4823316529)*a^(3) + (15929636186)/(4823316529)*a^(2) - (4384209022)/(4823316529)*a - (4901669196)/(4823316529) , (648967434)/(4823316529)*a^(14) - (1114737512)/(4823316529)*a^(13) - (747311498)/(4823316529)*a^(12) + (1124779681)/(4823316529)*a^(11) - (4823766233)/(4823316529)*a^(10) + (1779201762)/(4823316529)*a^(9) + (15799224682)/(4823316529)*a^(8) + (4012111589)/(4823316529)*a^(7) - (20004131378)/(4823316529)*a^(6) + (3648655910)/(4823316529)*a^(5) - (7466582441)/(4823316529)*a^(4) - (13931973140)/(4823316529)*a^(3) + (24631797650)/(4823316529)*a^(2) - (10717944600)/(4823316529)*a - (879206783)/(4823316529) ], 116.633322592, [[x^5 - 2*x^4 + 2*x^3 - x^2 + 1, 1]]]