/* 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^12 - x^11 - 29*x^10 + 20*x^9 + 283*x^8 - 117*x^7 - 1027*x^6 + 249*x^5 + 1081*x^4 - 241*x^3 - 279*x^2 + 120*x - 13, 12, 19, [12, 0], 30850000558264402577, [17, 127], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/2*a^9 - 1/2*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2, 1/2*a^10 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a, 1/31263178*a^11 + 3275991/31263178*a^10 + 2774669/31263178*a^9 + 8811579/31263178*a^8 - 5515581/31263178*a^7 + 3904856/15631589*a^6 - 11577981/31263178*a^5 + 2709135/15631589*a^4 - 3620097/15631589*a^3 - 7211293/31263178*a^2 + 7330477/31263178*a - 3665075/15631589], 0, 1, [], 0, [ (29903716)/(15631589)*a^(11) - (20518030)/(15631589)*a^(10) - (873695472)/(15631589)*a^(9) + (323946008)/(15631589)*a^(8) + (8565750318)/(15631589)*a^(7) - (813025594)/(15631589)*a^(6) - (30978725412)/(15631589)*a^(5) - (2250119387)/(15631589)*a^(4) + (31664306134)/(15631589)*a^(3) + (2644448845)/(15631589)*a^(2) - (7557466814)/(15631589)*a + (1266708454)/(15631589) , (52087134)/(15631589)*a^(11) - (38167980)/(15631589)*a^(10) - (1520619884)/(15631589)*a^(9) + (635331147)/(15631589)*a^(8) + (14907341181)/(15631589)*a^(7) - (2109211218)/(15631589)*a^(6) - (54027528825)/(15631589)*a^(5) - (1478748531)/(15631589)*a^(4) + (55813076286)/(15631589)*a^(3) + (2401280940)/(15631589)*a^(2) - (13835512481)/(15631589)*a + (2527934442)/(15631589) , (29903716)/(15631589)*a^(11) - (20518030)/(15631589)*a^(10) - (873695472)/(15631589)*a^(9) + (323946008)/(15631589)*a^(8) + (8565750318)/(15631589)*a^(7) - (813025594)/(15631589)*a^(6) - (30978725412)/(15631589)*a^(5) - (2250119387)/(15631589)*a^(4) + (31664306134)/(15631589)*a^(3) + (2644448845)/(15631589)*a^(2) - (7541835225)/(15631589)*a + (1266708454)/(15631589) , (7170953)/(31263178)*a^(11) - (1466997)/(15631589)*a^(10) - (209806297)/(31263178)*a^(9) + (9298783)/(15631589)*a^(8) + (2044371017)/(31263178)*a^(7) + (393417207)/(31263178)*a^(6) - (3589809157)/(15631589)*a^(5) - (1344054500)/(15631589)*a^(4) + (3195201494)/(15631589)*a^(3) + (2830506387)/(31263178)*a^(2) - (365069842)/(15631589)*a - (80348804)/(15631589) , (119832423)/(31263178)*a^(11) - (41523303)/(15631589)*a^(10) - (3501272919)/(31263178)*a^(9) + (661459750)/(15631589)*a^(8) + (34335802023)/(31263178)*a^(7) - (3504641147)/(31263178)*a^(6) - (62147072557)/(15631589)*a^(5) - (4070547651)/(15631589)*a^(4) + (63747962124)/(15631589)*a^(3) + (9825846895)/(31263178)*a^(2) - (15318955326)/(15631589)*a + (2593246229)/(15631589) , (119832423)/(31263178)*a^(11) - (41523303)/(15631589)*a^(10) - (3501272919)/(31263178)*a^(9) + (661459750)/(15631589)*a^(8) + (34335802023)/(31263178)*a^(7) - (3504641147)/(31263178)*a^(6) - (62147072557)/(15631589)*a^(5) - (4070547651)/(15631589)*a^(4) + (63747962124)/(15631589)*a^(3) + (9825846895)/(31263178)*a^(2) - (15334586915)/(15631589)*a + (2593246229)/(15631589) , (51537789)/(31263178)*a^(11) - (19116947)/(15631589)*a^(10) - (1503655121)/(31263178)*a^(9) + (320683922)/(15631589)*a^(8) + (14727552743)/(31263178)*a^(7) - (2198954041)/(31263178)*a^(6) - (26638612570)/(15631589)*a^(5) - (572683644)/(15631589)*a^(4) + (27343971646)/(15631589)*a^(3) + (2344170577)/(31263178)*a^(2) - (6643115509)/(15631589)*a + (1196508773)/(15631589) , (41234451)/(15631589)*a^(11) - (31137605)/(15631589)*a^(10) - (2407998341)/(31263178)*a^(9) + (530529333)/(15631589)*a^(8) + (23631311697)/(31263178)*a^(7) - (1945835533)/(15631589)*a^(6) - (85956826291)/(31263178)*a^(5) - (307563543)/(31263178)*a^(4) + (45045983421)/(15631589)*a^(3) + (835635898)/(15631589)*a^(2) - (11659311157)/(15631589)*a + (4469765909)/(31263178) , (2027547)/(332587)*a^(11) - (2912511)/(665174)*a^(10) - (118382385)/(665174)*a^(9) + (47680763)/(665174)*a^(8) + (1160014045)/(665174)*a^(7) - (146130441)/(665174)*a^(6) - (2098183371)/(332587)*a^(5) - (182962609)/(665174)*a^(4) + (2150977960)/(332587)*a^(3) + (130144252)/(332587)*a^(2) - (1040671817)/(665174)*a + (180260617)/(665174) , (230451815)/(31263178)*a^(11) - (156795775)/(31263178)*a^(10) - (3364624707)/(15631589)*a^(9) + (2452192007)/(31263178)*a^(8) + (32945750624)/(15631589)*a^(7) - (2883778238)/(15631589)*a^(6) - (118757005391)/(15631589)*a^(5) - (19478250669)/(31263178)*a^(4) + (119875091575)/(15631589)*a^(3) + (23451981941)/(31263178)*a^(2) - (55061178305)/(31263178)*a + (8758264623)/(31263178) , (1427097)/(31263178)*a^(11) - (1236349)/(31263178)*a^(10) - (41056409)/(31263178)*a^(9) + (21132401)/(31263178)*a^(8) + (392700729)/(31263178)*a^(7) - (37563879)/(15631589)*a^(6) - (1344063031)/(31263178)*a^(5) - (25002631)/(15631589)*a^(4) + (557701706)/(15631589)*a^(3) + (185906687)/(31263178)*a^(2) - (76676625)/(31263178)*a - (9699930)/(15631589) ], 756757.5012453796, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^6 - x^5 - 9*x^4 + 13*x^3 + x^2 - 5*x + 1, 1]]]