/* 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^17 - 2*x^16 + 4*x^15 - 2*x^14 + 6*x^12 - 5*x^11 + x^10 + 3*x^9 - 6*x^8 - 7*x^7 - x^6 - 5*x^5 - 9*x^4 - 3*x^3 - 2*x^2 - 3*x - 1, 17, 10, [5, 6], 14517428819890014793, [10170343, 1427427651151], [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, a^14, a^15, 1/307*a^16 + 68/307*a^15 - 148/307*a^14 + 76/307*a^13 + 101/307*a^12 + 15/307*a^11 + 124/307*a^10 + 85/307*a^9 + 120/307*a^8 + 105/307*a^7 - 25/307*a^6 + 91/307*a^5 - 82/307*a^4 + 84/307*a^3 + 44/307*a^2 + 8/307*a - 57/307], 0, 1, [], 0, [ a , (1141)/(307)*a^(16) - (2539)/(307)*a^(15) + (5201)/(307)*a^(14) - (3542)/(307)*a^(13) + (730)/(307)*a^(12) + (7291)/(307)*a^(11) - (8639)/(307)*a^(10) + (4578)/(307)*a^(9) + (1533)/(307)*a^(8) - (7907)/(307)*a^(7) - (4886)/(307)*a^(6) - (856)/(307)*a^(5) - (6067)/(307)*a^(4) - (8229)/(307)*a^(3) - (451)/(307)*a^(2) - (2845)/(307)*a - (2409)/(307) , (5200)/(307)*a^(16) - (13879)/(307)*a^(15) + (29828)/(307)*a^(14) - (29688)/(307)*a^(13) + (18650)/(307)*a^(12) + (19670)/(307)*a^(11) - (39196)/(307)*a^(10) + (30006)/(307)*a^(9) - (2587)/(307)*a^(8) - (29932)/(307)*a^(7) - (17024)/(307)*a^(6) + (7481)/(307)*a^(5) - (29756)/(307)*a^(4) - (27998)/(307)*a^(3) + (2848)/(307)*a^(2) - (11204)/(307)*a - (8434)/(307) , (819)/(307)*a^(16) - (2331)/(307)*a^(15) + (5272)/(307)*a^(14) - (6217)/(307)*a^(13) + (5355)/(307)*a^(12) + (312)/(307)*a^(11) - (4666)/(307)*a^(10) + (5145)/(307)*a^(9) - (2416)/(307)*a^(8) - (3035)/(307)*a^(7) - (2669)/(307)*a^(6) + (1156)/(307)*a^(5) - (4837)/(307)*a^(4) - (2428)/(307)*a^(3) + (424)/(307)*a^(2) - (1737)/(307)*a - (633)/(307) , (1022)/(307)*a^(16) - (2956)/(307)*a^(15) + (6542)/(307)*a^(14) - (7367)/(307)*a^(13) + (5596)/(307)*a^(12) + (2129)/(307)*a^(11) - (7431)/(307)*a^(10) + (7050)/(307)*a^(9) - (2002)/(307)*a^(8) - (4745)/(307)*a^(7) - (3139)/(307)*a^(6) + (2437)/(307)*a^(5) - (6440)/(307)*a^(4) - (4717)/(307)*a^(3) + (1067)/(307)*a^(2) - (2569)/(307)*a - (1459)/(307) , (2338)/(307)*a^(16) - (5875)/(307)*a^(15) + (12552)/(307)*a^(14) - (11424)/(307)*a^(13) + (6502)/(307)*a^(12) + (10510)/(307)*a^(11) - (17088)/(307)*a^(10) + (12074)/(307)*a^(9) + (269)/(307)*a^(8) - (14232)/(307)*a^(7) - (8716)/(307)*a^(6) + (1235)/(307)*a^(5) - (13963)/(307)*a^(4) - (14824)/(307)*a^(3) - (280)/(307)*a^(2) - (6163)/(307)*a - (4633)/(307) , (296)/(307)*a^(16) - (748)/(307)*a^(15) + (1628)/(307)*a^(14) - (1450)/(307)*a^(13) + (731)/(307)*a^(12) + (1677)/(307)*a^(11) - (2592)/(307)*a^(10) + (1828)/(307)*a^(9) + (215)/(307)*a^(8) - (2383)/(307)*a^(7) - (953)/(307)*a^(6) + (534)/(307)*a^(5) - (2782)/(307)*a^(4) - (1845)/(307)*a^(3) + (437)/(307)*a^(2) - (1316)/(307)*a - (601)/(307) , (4716)/(307)*a^(16) - (12100)/(307)*a^(15) + (25938)/(307)*a^(14) - (24720)/(307)*a^(13) + (15202)/(307)*a^(12) + (18550)/(307)*a^(11) - (33514)/(307)*a^(10) + (24478)/(307)*a^(9) - (1109)/(307)*a^(8) - (27027)/(307)*a^(7) - (17511)/(307)*a^(6) + (4268)/(307)*a^(5) - (27215)/(307)*a^(4) - (26288)/(307)*a^(3) + (586)/(307)*a^(2) - (10778)/(307)*a - (7862)/(307) , (4031)/(307)*a^(16) - (10788)/(307)*a^(15) + (23245)/(307)*a^(14) - (23362)/(307)*a^(13) + (15092)/(307)*a^(12) + (14415)/(307)*a^(11) - (29731)/(307)*a^(10) + (23048)/(307)*a^(9) - (2261)/(307)*a^(8) - (22816)/(307)*a^(7) - (13280)/(307)*a^(6) + (5789)/(307)*a^(5) - (23235)/(307)*a^(4) - (20893)/(307)*a^(3) + (1760)/(307)*a^(2) - (8583)/(307)*a - (6271)/(307) , (1738)/(307)*a^(16) - (4616)/(307)*a^(15) + (9866)/(307)*a^(14) - (9746)/(307)*a^(13) + (6074)/(307)*a^(12) + (6422)/(307)*a^(11) - (12589)/(307)*a^(10) + (9273)/(307)*a^(9) - (507)/(307)*a^(8) - (9692)/(307)*a^(7) - (6303)/(307)*a^(6) + (2816)/(307)*a^(5) - (9278)/(307)*a^(4) - (9657)/(307)*a^(3) + (950)/(307)*a^(2) - (3288)/(307)*a - (2975)/(307) ], 621.862699097, []]