/* 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^20 + x^16 - 9*x^14 + 2*x^12 - 16*x^10 + 18*x^8 - 3*x^6 + 34*x^4 + 4*x^2 - 1, 20, 1045, [6, 7], -57538948540426240000000000, [2, 5, 2370451], [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, a^16, a^17, 1/1270967*a^18 + 75099/1270967*a^16 + 579223/1270967*a^14 + 222493/1270967*a^12 - 401340/1270967*a^10 - 521238/1270967*a^8 + 60089/1270967*a^6 - 580009/1270967*a^4 + 485167/1270967*a^2 - 525419/1270967, 1/1270967*a^19 + 75099/1270967*a^17 + 579223/1270967*a^15 + 222493/1270967*a^13 - 401340/1270967*a^11 - 521238/1270967*a^9 + 60089/1270967*a^7 - 580009/1270967*a^5 + 485167/1270967*a^3 - 525419/1270967*a], 0, 1, [], 1, [ (60046)/(1270967)*a^(18) + (3638)/(1270967)*a^(16) + (12303)/(1270967)*a^(14) - (590426)/(1270967)*a^(12) - (56353)/(1270967)*a^(10) - (694573)/(1270967)*a^(8) + (1099748)/(1270967)*a^(6) + (1088287)/(1270967)*a^(4) + (1774042)/(1270967)*a^(2) + (1175534)/(1270967) , (212429)/(1270967)*a^(18) + (27687)/(1270967)*a^(16) + (176430)/(1270967)*a^(14) - (2026266)/(1270967)*a^(12) + (211500)/(1270967)*a^(10) - (3234963)/(1270967)*a^(8) + (4137501)/(1270967)*a^(6) - (648947)/(1270967)*a^(4) + (8452415)/(1270967)*a^(2) + (818222)/(1270967) , (495529)/(1270967)*a^(19) - (181389)/(1270967)*a^(17) + (587324)/(1270967)*a^(15) - (4653453)/(1270967)*a^(13) + (2765366)/(1270967)*a^(11) - (8985997)/(1270967)*a^(9) + (12336875)/(1270967)*a^(7) - (6241084)/(1270967)*a^(5) + (18536095)/(1270967)*a^(3) - (5303635)/(1270967)*a , (66833)/(1270967)*a^(19) + (42784)/(1270967)*a^(17) + (97873)/(1270967)*a^(15) - (439231)/(1270967)*a^(13) - (268652)/(1270967)*a^(11) - (1235718)/(1270967)*a^(9) - (327583)/(1270967)*a^(7) + (752003)/(1270967)*a^(5) + (1526974)/(1270967)*a^(3) + (2761150)/(1270967)*a , (54510)/(1270967)*a^(19) - (138217)/(1270967)*a^(17) + (83516)/(1270967)*a^(15) - (744651)/(1270967)*a^(13) + (1382538)/(1270967)*a^(11) - (1487062)/(1270967)*a^(9) + (3982332)/(1270967)*a^(7) - (3528399)/(1270967)*a^(5) + (3984735)/(1270967)*a^(3) - (4432213)/(1270967)*a , a , (95433)/(1270967)*a^(19) - (60046)/(1270967)*a^(17) + (91795)/(1270967)*a^(15) - (871200)/(1270967)*a^(13) + (781292)/(1270967)*a^(11) - (1470575)/(1270967)*a^(9) + (2412367)/(1270967)*a^(7) - (1386047)/(1270967)*a^(5) + (2156435)/(1270967)*a^(3) - (1392310)/(1270967)*a - 1 , (34392)/(66893)*a^(19) - (815)/(66893)*a^(17) + (35802)/(66893)*a^(15) - (312372)/(66893)*a^(13) + (83912)/(66893)*a^(11) - (564942)/(66893)*a^(9) + (657476)/(66893)*a^(7) - (176928)/(66893)*a^(5) + (1210725)/(66893)*a^(3) - (2800)/(66893)*a - 1 , (405632)/(1270967)*a^(19) + (20512)/(1270967)*a^(17) + (424316)/(1270967)*a^(15) - (3628028)/(1270967)*a^(13) + (545183)/(1270967)*a^(11) - (6722933)/(1270967)*a^(9) + (7041924)/(1270967)*a^(7) - (238351)/(1270967)*a^(5) + (14168967)/(1270967)*a^(3) + (2967389)/(1270967)*a + 1 , (462040)/(1270967)*a^(19) + (207369)/(1270967)*a^(18) + (71893)/(1270967)*a^(17) + (45880)/(1270967)*a^(16) + (486631)/(1270967)*a^(15) + (157952)/(1270967)*a^(14) - (4042009)/(1270967)*a^(13) - (1764084)/(1270967)*a^(12) + (222667)/(1270967)*a^(11) - (13366)/(1270967)*a^(10) - (7436426)/(1270967)*a^(9) - (3027208)/(1270967)*a^(8) + (6873247)/(1270967)*a^(7) + (2577307)/(1270967)*a^(6) - (153509)/(1270967)*a^(5) + (804757)/(1270967)*a^(4) + (15007659)/(1270967)*a^(3) + (6473705)/(1270967)*a^(2) + (5353844)/(1270967)*a + (1846365)/(1270967) , (60046)/(1270967)*a^(19) + (140536)/(1270967)*a^(18) + (3638)/(1270967)*a^(17) + (3096)/(1270967)*a^(16) + (12303)/(1270967)*a^(15) + (60079)/(1270967)*a^(14) - (590426)/(1270967)*a^(13) - (1324853)/(1270967)*a^(12) - (56353)/(1270967)*a^(11) + (255286)/(1270967)*a^(10) - (694573)/(1270967)*a^(9) - (1791490)/(1270967)*a^(8) + (1099748)/(1270967)*a^(7) + (2904890)/(1270967)*a^(6) + (1088287)/(1270967)*a^(5) + (52754)/(1270967)*a^(4) + (1774042)/(1270967)*a^(3) + (4946731)/(1270967)*a^(2) + (1175534)/(1270967)*a + (356182)/(1270967) , (572958)/(1270967)*a^(19) - (71893)/(1270967)*a^(18) - (14943)/(1270967)*a^(17) - (24591)/(1270967)*a^(16) + (632462)/(1270967)*a^(15) - (116351)/(1270967)*a^(14) - (5200641)/(1270967)*a^(13) + (701413)/(1270967)*a^(12) + (1282689)/(1270967)*a^(11) + (43786)/(1270967)*a^(10) - (9636981)/(1270967)*a^(9) + (1443473)/(1270967)*a^(8) + (10686902)/(1270967)*a^(7) - (1232611)/(1270967)*a^(6) - (2326099)/(1270967)*a^(5) + (701701)/(1270967)*a^(4) + (19831086)/(1270967)*a^(3) - (3505684)/(1270967)*a^(2) + (3308086)/(1270967)*a - (1733007)/(1270967) ], 121723.782283, [[x^2 - x - 1, 1], [x^10 - 3*x^7 - 2*x^6 - x^5 + x^4 + 3*x^3 + x - 1, 1]]]