/* 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^30 - 4*x - 1, 30, 5712, [2, 14], 2757032013554862401424586100944031593515138235298081, [1657, 56091358577718162989, 29663564839667553243668426797], [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, 1/2*a^15 - 1/2, 1/2*a^16 - 1/2*a, 1/2*a^17 - 1/2*a^2, 1/2*a^18 - 1/2*a^3, 1/2*a^19 - 1/2*a^4, 1/2*a^20 - 1/2*a^5, 1/2*a^21 - 1/2*a^6, 1/2*a^22 - 1/2*a^7, 1/2*a^23 - 1/2*a^8, 1/2*a^24 - 1/2*a^9, 1/2*a^25 - 1/2*a^10, 1/2*a^26 - 1/2*a^11, 1/2*a^27 - 1/2*a^12, 1/2*a^28 - 1/2*a^13, 1/2*a^29 - 1/2*a^14], 0, 1, [], 1, [ a , (1)/(2)*a^(15) - (1)/(2) , (1)/(2)*a^(15) - a^(10) + a^(5) - (1)/(2) , (1)/(2)*a^(15) - a^(12) + a^(9) - a^(6) + a^(3) - (1)/(2) , (1)/(2)*a^(29) + (1)/(2)*a^(14) + 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 , (1)/(2)*a^(29) + (1)/(2)*a^(28) + (1)/(2)*a^(27) + (1)/(2)*a^(26) - (1)/(2)*a^(23) - (1)/(2)*a^(22) - (1)/(2)*a^(21) - (1)/(2)*a^(20) + (1)/(2)*a^(17) + (1)/(2)*a^(16) + (1)/(2)*a^(15) + (1)/(2)*a^(14) + (1)/(2)*a^(13) + (1)/(2)*a^(12) + (1)/(2)*a^(11) - (1)/(2)*a^(8) - (1)/(2)*a^(7) - (3)/(2)*a^(6) - (3)/(2)*a^(5) - 2*a^(4) - a^(3) - (1)/(2)*a^(2) + (1)/(2)*a - (1)/(2) , (1)/(2)*a^(29) + (1)/(2)*a^(18) - (1)/(2)*a^(15) + (1)/(2)*a^(14) - a^(11) - a^(7) - a^(6) - (1)/(2)*a^(3) - a^(2) - (3)/(2) , (3)/(2)*a^(29) - (1)/(2)*a^(28) + (1)/(2)*a^(26) + (1)/(2)*a^(25) - a^(24) + a^(22) - (3)/(2)*a^(21) - (1)/(2)*a^(20) - (1)/(2)*a^(18) - a^(17) - a^(16) + (1)/(2)*a^(15) - (3)/(2)*a^(14) - (1)/(2)*a^(13) - (1)/(2)*a^(11) + (1)/(2)*a^(10) - a^(9) + a^(8) + a^(7) + (1)/(2)*a^(6) + (1)/(2)*a^(5) + a^(4) + (7)/(2)*a^(3) - a^(2) + a - (3)/(2) , (3)/(2)*a^(29) - a^(28) + (1)/(2)*a^(27) - (1)/(2)*a^(26) + (1)/(2)*a^(25) - (1)/(2)*a^(22) + (1)/(2)*a^(21) - (1)/(2)*a^(20) + (1)/(2)*a^(19) - a^(18) + (1)/(2)*a^(17) + (1)/(2)*a^(16) - (1)/(2)*a^(15) + (1)/(2)*a^(14) - a^(13) + (3)/(2)*a^(12) - (3)/(2)*a^(11) + (1)/(2)*a^(10) - a^(9) + a^(8) - (1)/(2)*a^(7) + (1)/(2)*a^(6) - (3)/(2)*a^(5) + (5)/(2)*a^(4) - 2*a^(3) + (3)/(2)*a^(2) - (7)/(2)*a - (5)/(2) , (1)/(2)*a^(27) + a^(25) + a^(23) + (1)/(2)*a^(22) + (1)/(2)*a^(20) - (1)/(2)*a^(19) + (1)/(2)*a^(15) + a^(13) + (1)/(2)*a^(12) + a^(11) + a^(10) - (3)/(2)*a^(7) - a^(6) - (5)/(2)*a^(5) - (5)/(2)*a^(4) - 2*a^(3) - 4*a^(2) - a - (3)/(2) , (1)/(2)*a^(28) - (1)/(2)*a^(26) + (1)/(2)*a^(24) - (1)/(2)*a^(19) + (1)/(2)*a^(17) - a^(16) - a^(15) + (3)/(2)*a^(13) - a^(12) - (1)/(2)*a^(11) + (3)/(2)*a^(9) + (1)/(2)*a^(4) + a^(3) + (1)/(2)*a^(2) - 2*a , (1)/(2)*a^(29) - (1)/(2)*a^(28) - (1)/(2)*a^(27) + (1)/(2)*a^(26) + (1)/(2)*a^(20) + (1)/(2)*a^(19) - (3)/(2)*a^(18) - (1)/(2)*a^(17) + a^(16) + (1)/(2)*a^(15) - (1)/(2)*a^(14) - (1)/(2)*a^(13) + (1)/(2)*a^(12) + (1)/(2)*a^(11) + a^(10) - a^(9) - 2*a^(8) + a^(7) + a^(6) - (1)/(2)*a^(5) - (1)/(2)*a^(4) + (1)/(2)*a^(3) + (1)/(2)*a^(2) - (1)/(2) , (3)/(2)*a^(29) - (1)/(2)*a^(27) - (1)/(2)*a^(26) + (1)/(2)*a^(24) - (1)/(2)*a^(22) + (1)/(2)*a^(20) + (1)/(2)*a^(19) + (1)/(2)*a^(18) - (1)/(2)*a^(17) - a^(16) - (1)/(2)*a^(15) + (1)/(2)*a^(14) + a^(13) - (1)/(2)*a^(12) - (3)/(2)*a^(11) + a^(10) + (5)/(2)*a^(9) - (5)/(2)*a^(7) - 2*a^(6) + (1)/(2)*a^(5) + (5)/(2)*a^(4) - (1)/(2)*a^(3) - (7)/(2)*a^(2) + a - (3)/(2) , a^(29) - a^(27) + (3)/(2)*a^(26) - (3)/(2)*a^(24) + (3)/(2)*a^(23) - a^(21) + 2*a^(20) - (1)/(2)*a^(19) - a^(18) + 2*a^(17) - a^(16) - (1)/(2)*a^(15) + 2*a^(14) - 2*a^(13) + (5)/(2)*a^(11) - 3*a^(10) - (1)/(2)*a^(9) + (5)/(2)*a^(8) - 3*a^(7) + 2*a^(5) - (7)/(2)*a^(4) + a^(3) + 2*a^(2) - 4*a - (5)/(2) , (3)/(2)*a^(29) + (1)/(2)*a^(28) - (1)/(2)*a^(26) - a^(25) - a^(24) - a^(23) - (1)/(2)*a^(22) + (1)/(2)*a^(21) + a^(20) + (3)/(2)*a^(19) + (3)/(2)*a^(18) - (1)/(2)*a^(16) - (3)/(2)*a^(15) - (3)/(2)*a^(14) - (1)/(2)*a^(13) + (3)/(2)*a^(11) + 3*a^(10) + 2*a^(9) + 2*a^(8) + (1)/(2)*a^(7) - (3)/(2)*a^(6) - 2*a^(5) - (5)/(2)*a^(4) - (3)/(2)*a^(3) + a^(2) + (5)/(2)*a - (3)/(2) ], 72802108759548.89, []]