/* 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^27 - 3*x - 3, 27, 2392, [1, 13], -43207461914112074238522908041698612863100209996211, [3, 71, 337, 14619373, 78563389, 206180539890995287], [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, a^18, a^19, a^20, a^21, a^22, a^23, a^24, a^25, 1/5*a^26 - 2/5*a^25 - 1/5*a^24 + 2/5*a^23 + 1/5*a^22 - 2/5*a^21 - 1/5*a^20 + 2/5*a^19 + 1/5*a^18 - 2/5*a^17 - 1/5*a^16 + 2/5*a^15 + 1/5*a^14 - 2/5*a^13 - 1/5*a^12 + 2/5*a^11 + 1/5*a^10 - 2/5*a^9 - 1/5*a^8 + 2/5*a^7 + 1/5*a^6 - 2/5*a^5 - 1/5*a^4 + 2/5*a^3 + 1/5*a^2 - 2/5*a + 1/5], 0, 1, [], 1, [ a + 1 , a^(14) + 2*a + 1 , 2*a^(26) - 2*a^(25) + a^(24) - a^(22) + 2*a^(21) - 2*a^(20) + 2*a^(19) - a^(18) + a^(16) - 2*a^(15) + 2*a^(14) - 2*a^(13) + a^(12) - a^(10) + 2*a^(9) - 3*a^(8) + 2*a^(7) - 2*a^(6) + 2*a^(4) - 2*a^(3) + 4*a^(2) - 2*a - 5 , (2)/(5)*a^(26) - (4)/(5)*a^(25) + (3)/(5)*a^(24) - (6)/(5)*a^(23) + (7)/(5)*a^(22) - (4)/(5)*a^(21) + (8)/(5)*a^(20) - (1)/(5)*a^(19) + (7)/(5)*a^(18) - (4)/(5)*a^(17) + (8)/(5)*a^(16) - (6)/(5)*a^(15) + (2)/(5)*a^(14) - (9)/(5)*a^(13) + (3)/(5)*a^(12) - (6)/(5)*a^(11) + (2)/(5)*a^(10) - (4)/(5)*a^(9) + (8)/(5)*a^(8) + (4)/(5)*a^(7) + (12)/(5)*a^(6) + (1)/(5)*a^(5) + (8)/(5)*a^(4) + (4)/(5)*a^(3) + (2)/(5)*a^(2) - (9)/(5)*a - (13)/(5) , a^(24) - a^(23) + a^(21) - a^(20) - a^(19) + a^(17) - a^(16) + 2*a^(15) + a^(14) - a^(13) - a^(12) + a^(11) - a^(10) - 2*a^(9) + a^(8) + 2*a^(5) + 2*a^(4) - 3*a^(3) - a^(2) + a - 1 , (3)/(5)*a^(26) - (6)/(5)*a^(25) + (2)/(5)*a^(24) - (4)/(5)*a^(23) - (7)/(5)*a^(22) - (1)/(5)*a^(21) - (8)/(5)*a^(20) + (1)/(5)*a^(19) - (2)/(5)*a^(18) - (6)/(5)*a^(17) + (2)/(5)*a^(16) - (4)/(5)*a^(15) + (8)/(5)*a^(14) + (4)/(5)*a^(13) + (7)/(5)*a^(12) + (1)/(5)*a^(11) + (13)/(5)*a^(10) + (4)/(5)*a^(9) + (22)/(5)*a^(8) + (6)/(5)*a^(7) + (8)/(5)*a^(6) + (9)/(5)*a^(5) + (2)/(5)*a^(4) + (16)/(5)*a^(3) - (2)/(5)*a^(2) - (6)/(5)*a - (22)/(5) , (3)/(5)*a^(26) + (4)/(5)*a^(25) - (3)/(5)*a^(24) + (1)/(5)*a^(23) + (3)/(5)*a^(22) - (1)/(5)*a^(21) - (3)/(5)*a^(20) + (1)/(5)*a^(19) + (8)/(5)*a^(18) - (1)/(5)*a^(17) - (3)/(5)*a^(16) + (1)/(5)*a^(15) + (3)/(5)*a^(14) - (1)/(5)*a^(13) - (3)/(5)*a^(12) + (11)/(5)*a^(11) + (3)/(5)*a^(10) - (6)/(5)*a^(9) - (3)/(5)*a^(8) + (6)/(5)*a^(7) + (8)/(5)*a^(6) - (6)/(5)*a^(5) + (7)/(5)*a^(4) + (11)/(5)*a^(3) - (7)/(5)*a^(2) - (11)/(5)*a - (7)/(5) , a^(26) - a^(25) + a^(24) - a^(23) + 2*a^(22) - a^(21) + a^(20) - 2*a^(19) + a^(18) - a^(17) + 2*a^(16) - a^(15) - 2*a^(13) + a^(12) + 2*a^(10) - a^(9) - 2*a^(7) + a^(6) - a^(3) - 2 , (14)/(5)*a^(26) + (17)/(5)*a^(25) + (16)/(5)*a^(24) - (2)/(5)*a^(23) - (11)/(5)*a^(22) - (23)/(5)*a^(21) - (24)/(5)*a^(20) - (7)/(5)*a^(19) + (9)/(5)*a^(18) + (27)/(5)*a^(17) + (31)/(5)*a^(16) + (23)/(5)*a^(15) - (1)/(5)*a^(14) - (28)/(5)*a^(13) - (44)/(5)*a^(12) - (32)/(5)*a^(11) - (16)/(5)*a^(10) + (22)/(5)*a^(9) + (56)/(5)*a^(8) + (53)/(5)*a^(7) + (34)/(5)*a^(6) - (13)/(5)*a^(5) - (54)/(5)*a^(4) - (77)/(5)*a^(3) - (61)/(5)*a^(2) - (8)/(5)*a + (14)/(5) , (12)/(5)*a^(26) - (19)/(5)*a^(25) + (8)/(5)*a^(24) - (6)/(5)*a^(23) - (3)/(5)*a^(22) - (9)/(5)*a^(21) + (13)/(5)*a^(20) - (26)/(5)*a^(19) + (12)/(5)*a^(18) - (9)/(5)*a^(17) - (7)/(5)*a^(16) - (6)/(5)*a^(15) + (7)/(5)*a^(14) - (29)/(5)*a^(13) + (13)/(5)*a^(12) - (11)/(5)*a^(11) - (13)/(5)*a^(10) - (4)/(5)*a^(9) - (2)/(5)*a^(8) - (31)/(5)*a^(7) + (12)/(5)*a^(6) - (14)/(5)*a^(5) - (22)/(5)*a^(4) - (1)/(5)*a^(3) - (13)/(5)*a^(2) - (34)/(5)*a - (23)/(5) , (14)/(5)*a^(26) - (3)/(5)*a^(25) - (9)/(5)*a^(24) + (23)/(5)*a^(23) - (21)/(5)*a^(22) + (2)/(5)*a^(21) + (11)/(5)*a^(20) - (22)/(5)*a^(19) + (24)/(5)*a^(18) - (8)/(5)*a^(17) - (14)/(5)*a^(16) + (28)/(5)*a^(15) - (26)/(5)*a^(14) + (12)/(5)*a^(13) + (11)/(5)*a^(12) - (32)/(5)*a^(11) + (29)/(5)*a^(10) - (18)/(5)*a^(9) - (9)/(5)*a^(8) + (38)/(5)*a^(7) - (31)/(5)*a^(6) + (17)/(5)*a^(5) + (1)/(5)*a^(4) - (37)/(5)*a^(3) + (44)/(5)*a^(2) - (23)/(5)*a - (56)/(5) , (9)/(5)*a^(26) + (2)/(5)*a^(25) + (11)/(5)*a^(24) - (7)/(5)*a^(23) - (1)/(5)*a^(22) - (13)/(5)*a^(21) + (6)/(5)*a^(20) - (2)/(5)*a^(19) + (9)/(5)*a^(18) - (8)/(5)*a^(17) + (1)/(5)*a^(16) - (7)/(5)*a^(15) + (9)/(5)*a^(14) + (2)/(5)*a^(13) + (6)/(5)*a^(12) - (7)/(5)*a^(11) - (1)/(5)*a^(10) - (3)/(5)*a^(9) + (6)/(5)*a^(8) + (3)/(5)*a^(7) + (4)/(5)*a^(6) - (3)/(5)*a^(5) - (4)/(5)*a^(4) - (12)/(5)*a^(3) - (16)/(5)*a^(2) - (13)/(5)*a - (16)/(5) , 4*a^(26) - 3*a^(25) - 4*a^(24) + 4*a^(23) + a^(22) - 6*a^(21) + 4*a^(20) + 5*a^(19) - 5*a^(18) + a^(17) + 9*a^(16) - 2*a^(15) - 3*a^(14) + 10*a^(13) + 2*a^(12) - 8*a^(11) + 7*a^(10) + 6*a^(9) - 10*a^(8) + 9*a^(6) - 11*a^(5) - 11*a^(4) + 9*a^(3) - 7*a^(2) - 18*a - 5 ], 123801473306894.75, []]