/* 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 - 2*x^13 + x^12 + x^11 - x^10 + 2*x^9 - 15*x^8 + 8*x^7 + 28*x^6 - 34*x^5 - 7*x^4 + 27*x^3 - 7*x^2 - 3*x + 1, 15, 44, [5, 5], -154972454814106259, [11, 67], [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, 1/1375967*a^14 + 175735/1375967*a^13 - 613357/1375967*a^12 + 221128/1375967*a^11 + 90195/1375967*a^10 - 631321/1375967*a^9 - 232077/1375967*a^8 - 621807/1375967*a^7 - 79672/1375967*a^6 + 601628/1375967*a^5 - 230139/1375967*a^4 + 90720/1375967*a^3 - 559682/1375967*a^2 + 597135/1375967*a - 6898/1375967], 0, 1, [], 0, [ (9871118)/(1375967)*a^(14) - (5442576)/(1375967)*a^(13) - (22352934)/(1375967)*a^(12) + (195017)/(1375967)*a^(11) + (10168561)/(1375967)*a^(10) - (5609891)/(1375967)*a^(9) + (16901521)/(1375967)*a^(8) - (140513656)/(1375967)*a^(7) + (15248762)/(1375967)*a^(6) + (286186857)/(1375967)*a^(5) - (211351518)/(1375967)*a^(4) - (166885954)/(1375967)*a^(3) + (198831449)/(1375967)*a^(2) + (18484429)/(1375967)*a - (24636408)/(1375967) , (2954835)/(1375967)*a^(14) - (1377570)/(1375967)*a^(13) - (6917210)/(1375967)*a^(12) - (439608)/(1375967)*a^(11) + (3046529)/(1375967)*a^(10) - (1390323)/(1375967)*a^(9) + (5191165)/(1375967)*a^(8) - (41374953)/(1375967)*a^(7) + (707811)/(1375967)*a^(6) + (87320377)/(1375967)*a^(5) - (57031774)/(1375967)*a^(4) - (55546486)/(1375967)*a^(3) + (57685609)/(1375967)*a^(2) + (8146219)/(1375967)*a - (7132494)/(1375967) , (1450324)/(1375967)*a^(14) - (431204)/(1375967)*a^(13) - (3712168)/(1375967)*a^(12) - (390954)/(1375967)*a^(11) + (1542424)/(1375967)*a^(10) - (645425)/(1375967)*a^(9) + (2204592)/(1375967)*a^(8) - (19723503)/(1375967)*a^(7) - (3384903)/(1375967)*a^(6) + (46596970)/(1375967)*a^(5) - (25687417)/(1375967)*a^(4) - (33722369)/(1375967)*a^(3) + (30118715)/(1375967)*a^(2) + (5591940)/(1375967)*a - (3806796)/(1375967) , a , (5494597)/(1375967)*a^(14) - (2846191)/(1375967)*a^(13) - (12822567)/(1375967)*a^(12) + (113142)/(1375967)*a^(11) + (5893959)/(1375967)*a^(10) - (3138561)/(1375967)*a^(9) + (9205248)/(1375967)*a^(8) - (77583185)/(1375967)*a^(7) + (5248701)/(1375967)*a^(6) + (164217103)/(1375967)*a^(5) - (117463343)/(1375967)*a^(4) - (100794874)/(1375967)*a^(3) + (115621493)/(1375967)*a^(2) + (10484392)/(1375967)*a - (15854728)/(1375967) , (13996050)/(1375967)*a^(14) - (8460232)/(1375967)*a^(13) - (31332111)/(1375967)*a^(12) + (1378211)/(1375967)*a^(11) + (14821072)/(1375967)*a^(10) - (8036830)/(1375967)*a^(9) + (24834469)/(1375967)*a^(8) - (200082968)/(1375967)*a^(7) + (33016177)/(1375967)*a^(6) + (404291653)/(1375967)*a^(5) - (312370017)/(1375967)*a^(4) - (224334716)/(1375967)*a^(3) + (287797026)/(1375967)*a^(2) + (20588044)/(1375967)*a - (35803487)/(1375967) , (5483797)/(1375967)*a^(14) - (3325698)/(1375967)*a^(13) - (12472105)/(1375967)*a^(12) + (609454)/(1375967)*a^(11) + (5972595)/(1375967)*a^(10) - (2788246)/(1375967)*a^(9) + (10000941)/(1375967)*a^(8) - (78162512)/(1375967)*a^(7) + (12606761)/(1375967)*a^(6) + (161198943)/(1375967)*a^(5) - (122462413)/(1375967)*a^(4) - (88498667)/(1375967)*a^(3) + (114188095)/(1375967)*a^(2) + (7831787)/(1375967)*a - (12906612)/(1375967) , (10978394)/(1375967)*a^(14) - (6171889)/(1375967)*a^(13) - (25294672)/(1375967)*a^(12) + (722596)/(1375967)*a^(11) + (11866554)/(1375967)*a^(10) - (5926807)/(1375967)*a^(9) + (19206189)/(1375967)*a^(8) - (155745697)/(1375967)*a^(7) + (17855462)/(1375967)*a^(6) + (325416046)/(1375967)*a^(5) - (239925756)/(1375967)*a^(4) - (189293541)/(1375967)*a^(3) + (229809588)/(1375967)*a^(2) + (18316179)/(1375967)*a - (28761340)/(1375967) , (17550747)/(1375967)*a^(14) - (10049003)/(1375967)*a^(13) - (39734123)/(1375967)*a^(12) + (1252205)/(1375967)*a^(11) + (18022284)/(1375967)*a^(10) - (10259379)/(1375967)*a^(9) + (30689452)/(1375967)*a^(8) - (249594030)/(1375967)*a^(7) + (32980535)/(1375967)*a^(6) + (511898243)/(1375967)*a^(5) - (386785103)/(1375967)*a^(4) - (288151214)/(1375967)*a^(3) + (363226421)/(1375967)*a^(2) + (23216490)/(1375967)*a - (43251288)/(1375967) ], 492.79424719, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1]]]