/* 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^26 - 5, 26, 10, [2, 12], 27338662801166956620931510927975177764892578125, [5, 13], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/2*a^13 - 1/2, 1/2*a^14 - 1/2*a, 1/2*a^15 - 1/2*a^2, 1/2*a^16 - 1/2*a^3, 1/2*a^17 - 1/2*a^4, 1/2*a^18 - 1/2*a^5, 1/2*a^19 - 1/2*a^6, 1/2*a^20 - 1/2*a^7, 1/2*a^21 - 1/2*a^8, 1/2*a^22 - 1/2*a^9, 1/2*a^23 - 1/2*a^10, 1/2*a^24 - 1/2*a^11, 1/2*a^25 - 1/2*a^12], 0, 1, [], 1, [ (1)/(2)*a^(13) - (1)/(2) , (1)/(2)*a^(13) - a^(12) + a^(11) - a^(10) + a^(9) - a^(8) + a^(7) - a^(6) + a^(5) - a^(4) + a^(3) - a^(2) + a - (1)/(2) , (1)/(2)*a^(23) + (1)/(2)*a^(22) - (1)/(2)*a^(18) - (1)/(2)*a^(17) - (1)/(2)*a^(16) - a^(15) - a^(14) + (1)/(2)*a^(10) + (1)/(2)*a^(9) + a^(7) + a^(6) - (1)/(2)*a^(5) - (1)/(2)*a^(4) + (1)/(2)*a^(3) + 1 , (1)/(2)*a^(25) - (1)/(2)*a^(24) + (1)/(2)*a^(22) - (1)/(2)*a^(21) + a^(20) - a^(19) + (1)/(2)*a^(18) - (1)/(2)*a^(17) - (1)/(2)*a^(16) + (1)/(2)*a^(15) - (3)/(2)*a^(14) + a^(13) - (3)/(2)*a^(12) + (1)/(2)*a^(11) - (1)/(2)*a^(9) + (3)/(2)*a^(8) - 2*a^(7) + 2*a^(6) - (3)/(2)*a^(5) + (1)/(2)*a^(4) - (1)/(2)*a^(3) - (5)/(2)*a^(2) + (5)/(2)*a - 3 , (1)/(2)*a^(23) - (1)/(2)*a^(22) + (1)/(2)*a^(18) - (1)/(2)*a^(17) + (1)/(2)*a^(16) - a^(15) + a^(14) - (1)/(2)*a^(10) + (1)/(2)*a^(9) + a^(7) - a^(6) - (1)/(2)*a^(5) + (1)/(2)*a^(4) + (1)/(2)*a^(3) - 1 , (1)/(2)*a^(25) + (1)/(2)*a^(24) + (1)/(2)*a^(22) - (1)/(2)*a^(20) - (1)/(2)*a^(19) - (3)/(2)*a^(18) - a^(17) - a^(16) - (3)/(2)*a^(15) - a^(14) - 2*a^(13) - (3)/(2)*a^(12) - (1)/(2)*a^(11) - a^(10) + (1)/(2)*a^(9) + (1)/(2)*a^(7) + (5)/(2)*a^(6) + (3)/(2)*a^(5) + 3*a^(4) + 3*a^(3) + (5)/(2)*a^(2) + 5*a + 3 , (1)/(2)*a^(25) - (1)/(2)*a^(23) + (1)/(2)*a^(21) - a^(19) + a^(18) + (1)/(2)*a^(17) - (3)/(2)*a^(16) + (1)/(2)*a^(15) + (1)/(2)*a^(13) - (1)/(2)*a^(12) - a^(11) + (5)/(2)*a^(10) - 2*a^(9) - (1)/(2)*a^(8) + a^(7) + a^(5) - (5)/(2)*a^(4) + (3)/(2)*a^(3) + (3)/(2)*a^(2) - 3*a + (1)/(2) , (7)/(2)*a^(25) + 3*a^(24) + (1)/(2)*a^(23) - (5)/(2)*a^(22) - 4*a^(21) - 4*a^(20) - 2*a^(19) + (3)/(2)*a^(18) + 5*a^(17) + 6*a^(16) + 4*a^(15) - (1)/(2)*a^(14) - (11)/(2)*a^(13) - (15)/(2)*a^(12) - 6*a^(11) - (3)/(2)*a^(10) + (9)/(2)*a^(9) + 10*a^(8) + 10*a^(7) + 4*a^(6) - (9)/(2)*a^(5) - 11*a^(4) - 13*a^(3) - 8*a^(2) + (3)/(2)*a + (23)/(2) , (1)/(2)*a^(25) - (1)/(2)*a^(24) - a^(23) - a^(22) - a^(21) + (1)/(2)*a^(20) + a^(19) + a^(18) + (3)/(2)*a^(17) - a^(15) - (3)/(2)*a^(14) - 2*a^(13) - (1)/(2)*a^(12) + (1)/(2)*a^(11) + 2*a^(10) + 3*a^(9) + a^(8) + (1)/(2)*a^(7) - 2*a^(6) - 4*a^(5) - (3)/(2)*a^(4) - a^(3) + 2*a^(2) + (9)/(2)*a + 3 , a^(25) + (3)/(2)*a^(24) - 2*a^(23) + (1)/(2)*a^(22) + (3)/(2)*a^(21) - (3)/(2)*a^(20) - (1)/(2)*a^(19) + (3)/(2)*a^(18) - (1)/(2)*a^(17) - a^(16) + a^(15) + a^(14) - a^(13) - a^(12) + (5)/(2)*a^(11) - a^(10) - (7)/(2)*a^(9) + (9)/(2)*a^(8) + (1)/(2)*a^(7) - (11)/(2)*a^(6) + (11)/(2)*a^(5) + (5)/(2)*a^(4) - 9*a^(3) + 5*a^(2) + 5*a - 11 , 2*a^(25) - 2*a^(24) + (3)/(2)*a^(23) - a^(22) - (1)/(2)*a^(21) + 2*a^(20) - (5)/(2)*a^(19) + 3*a^(18) - 3*a^(17) + (5)/(2)*a^(16) - (3)/(2)*a^(14) + 3*a^(13) - 4*a^(12) + 5*a^(11) - (7)/(2)*a^(10) + a^(9) + (1)/(2)*a^(8) - 3*a^(7) + (11)/(2)*a^(6) - 8*a^(5) + 5*a^(4) - (7)/(2)*a^(3) + (5)/(2)*a - 9 , (3)/(2)*a^(25) - a^(24) + (3)/(2)*a^(22) - 2*a^(21) + 2*a^(19) - (5)/(2)*a^(18) + (1)/(2)*a^(17) + 2*a^(16) - 3*a^(15) + 2*a^(14) + (3)/(2)*a^(13) - (7)/(2)*a^(12) + 3*a^(11) + a^(10) - (7)/(2)*a^(9) + 3*a^(8) - a^(7) - 4*a^(6) + (11)/(2)*a^(5) - (5)/(2)*a^(4) - 5*a^(3) + 8*a^(2) - 3*a - (7)/(2) , (3)/(2)*a^(25) + (9)/(2)*a^(24) + 3*a^(23) + 5*a^(22) + (11)/(2)*a^(21) + 4*a^(20) + (13)/(2)*a^(19) + 4*a^(18) + 4*a^(17) + 4*a^(16) - (5)/(2)*a^(13) - (15)/(2)*a^(12) - (9)/(2)*a^(11) - 12*a^(10) - 9*a^(9) - (21)/(2)*a^(8) - 14*a^(7) - (17)/(2)*a^(6) - 13*a^(5) - 9*a^(4) - 5*a^(3) - 5*a^(2) + 3*a + (17)/(2) ], 9612138497230.408, [[x^2 - x - 1, 1], [x^13 - 5, 1]]]