/* 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^28 - 54*x^26 + 1300*x^24 - 18400*x^22 + 170016*x^20 - 1076768*x^18 + 4775232*x^16 - 14883840*x^14 + 32248320*x^12 - 47297536*x^10 + 44808192*x^8 - 25346048*x^6 + 7454720*x^4 - 860160*x^2 + 16384, 28, 2, [28, 0], 463028542684026225381227850734902390950731116969984, [2, 29], [1, a, 1/2*a^2, 1/2*a^3, 1/4*a^4, 1/4*a^5, 1/8*a^6, 1/8*a^7, 1/16*a^8, 1/16*a^9, 1/32*a^10, 1/32*a^11, 1/64*a^12, 1/64*a^13, 1/128*a^14, 1/128*a^15, 1/256*a^16, 1/256*a^17, 1/512*a^18, 1/512*a^19, 1/1024*a^20, 1/1024*a^21, 1/2048*a^22, 1/2048*a^23, 1/4096*a^24, 1/4096*a^25, 1/8192*a^26, 1/8192*a^27], 0, 1, [], 1, [ (1)/(8192)*a^(26) - (25)/(4096)*a^(24) + (69)/(512)*a^(22) - (443)/(256)*a^(20) + (3667)/(256)*a^(18) - (10251)/(128)*a^(16) + (39441)/(128)*a^(14) - (52221)/(64)*a^(12) + (46827)/(32)*a^(10) - (27479)/(16)*a^(8) + (9941)/(8)*a^(6) - (2001)/(4)*a^(4) + (185)/(2)*a^(2) - 5 , (1)/(8)*a^(6) - (3)/(2)*a^(4) + (9)/(2)*a^(2) - 2 , (1)/(64)*a^(12) - (3)/(8)*a^(10) + (27)/(8)*a^(8) - 14*a^(6) + (105)/(4)*a^(4) - 18*a^(2) + 2 , (1)/(4096)*a^(24) - (3)/(256)*a^(22) + (63)/(256)*a^(20) - (95)/(32)*a^(18) + (2907)/(128)*a^(16) - (459)/(4)*a^(14) + (1547)/(4)*a^(12) - 858*a^(10) + (19305)/(16)*a^(8) - 1001*a^(6) + 429*a^(4) - 72*a^(2) + 2 , (1)/(8)*a^(6) - (3)/(2)*a^(4) + (9)/(2)*a^(2) - 1 , (1)/(256)*a^(16) - (1)/(8)*a^(14) + (13)/(8)*a^(12) - 11*a^(10) + (165)/(4)*a^(8) - 84*a^(6) + 84*a^(4) - 32*a^(2) + 2 , (1)/(4096)*a^(24) - (3)/(256)*a^(22) + (63)/(256)*a^(20) - (95)/(32)*a^(18) + (2907)/(128)*a^(16) - (459)/(4)*a^(14) + (1547)/(4)*a^(12) - 858*a^(10) + (9653)/(8)*a^(8) - 1002*a^(6) + 434*a^(4) - 80*a^(2) + 4 , (1)/(16)*a^(8) - a^(6) + 5*a^(4) - 8*a^(2) + 3 , (1)/(64)*a^(12) - (3)/(8)*a^(10) + (27)/(8)*a^(8) - 14*a^(6) + (105)/(4)*a^(4) - 18*a^(2) + 3 , (1)/(8192)*a^(26) - (25)/(4096)*a^(24) + (69)/(512)*a^(22) - (1771)/(1024)*a^(20) + (7315)/(512)*a^(18) - (20349)/(256)*a^(16) + (38759)/(128)*a^(14) - (25187)/(32)*a^(12) + (43681)/(32)*a^(10) - (6025)/(4)*a^(8) + (3857)/(4)*a^(6) - (1169)/(4)*a^(4) + 21*a^(2) , (1)/(64)*a^(12) - (3)/(8)*a^(10) + (27)/(8)*a^(8) - (111)/(8)*a^(6) + (99)/(4)*a^(4) - (27)/(2)*a^(2) + 1 , (1)/(4)*a^(4) - 2*a^(2) + 3 , (1)/(2)*a^(2) - 1 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) + (8855)/(512)*a^(19) - (13167)/(128)*a^(17) + (6783)/(16)*a^(15) - (4845)/(4)*a^(13) + (37791)/(16)*a^(11) - (12155)/(4)*a^(9) + 2431*a^(7) - 1092*a^(5) + (455)/(2)*a^(3) - 14*a + 1 , (1)/(8192)*a^(27) - (1)/(8192)*a^(26) - (13)/(2048)*a^(25) + (25)/(4096)*a^(24) + (75)/(512)*a^(23) - (69)/(512)*a^(22) - (253)/(128)*a^(21) + (1771)/(1024)*a^(20) + (8855)/(512)*a^(19) - (7315)/(512)*a^(18) - (13167)/(128)*a^(17) + (20349)/(256)*a^(16) + (6783)/(16)*a^(15) - (4845)/(16)*a^(14) - (4845)/(4)*a^(13) + (12597)/(16)*a^(12) + (37791)/(16)*a^(11) - (21879)/(16)*a^(10) - (12155)/(4)*a^(9) + (12155)/(8)*a^(8) + 2431*a^(7) - 1001*a^(6) - 1092*a^(5) + (1365)/(4)*a^(4) + (455)/(2)*a^(3) - (91)/(2)*a^(2) - 14*a + 1 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) + (8855)/(512)*a^(19) - (13167)/(128)*a^(17) + (6783)/(16)*a^(15) - (4845)/(4)*a^(13) - (1)/(64)*a^(12) + (37791)/(16)*a^(11) + (3)/(8)*a^(10) - (12155)/(4)*a^(9) - (27)/(8)*a^(8) + 2431*a^(7) + 14*a^(6) - 1092*a^(5) - (105)/(4)*a^(4) + (455)/(2)*a^(3) + 18*a^(2) - 14*a - 2 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) + (8855)/(512)*a^(19) - (13167)/(128)*a^(17) + (6783)/(16)*a^(15) - (4845)/(4)*a^(13) + (37791)/(16)*a^(11) - (12155)/(4)*a^(9) + 2431*a^(7) - 1092*a^(5) + (455)/(2)*a^(3) - (1)/(2)*a^(2) - 14*a + 2 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) - (1)/(1024)*a^(20) + (8855)/(512)*a^(19) + (5)/(128)*a^(18) - (13167)/(128)*a^(17) - (85)/(128)*a^(16) + (6783)/(16)*a^(15) + (25)/(4)*a^(14) - (4845)/(4)*a^(13) - (2275)/(64)*a^(12) + (37791)/(16)*a^(11) + (1001)/(8)*a^(10) - (12155)/(4)*a^(9) - (2145)/(8)*a^(8) + 2431*a^(7) + 330*a^(6) - 1092*a^(5) - (825)/(4)*a^(4) + (455)/(2)*a^(3) + 50*a^(2) - 14*a - 2 , (1)/(8192)*a^(27) + (1)/(8192)*a^(26) - (13)/(2048)*a^(25) - (13)/(2048)*a^(24) + (75)/(512)*a^(23) + (299)/(2048)*a^(22) - (253)/(128)*a^(21) - (1001)/(512)*a^(20) + (8855)/(512)*a^(19) + (8645)/(512)*a^(18) - (13167)/(128)*a^(17) - (12597)/(128)*a^(16) + (6783)/(16)*a^(15) + (12597)/(32)*a^(14) - (4845)/(4)*a^(13) - (8619)/(8)*a^(12) + (37791)/(16)*a^(11) + (31603)/(16)*a^(10) - (12155)/(4)*a^(9) - (9295)/(4)*a^(8) + 2431*a^(7) + (13013)/(8)*a^(6) - 1092*a^(5) - (1183)/(2)*a^(4) + (455)/(2)*a^(3) + (169)/(2)*a^(2) - 14*a - 2 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) + (8855)/(512)*a^(19) - (13167)/(128)*a^(17) + (6783)/(16)*a^(15) - (4845)/(4)*a^(13) + (37791)/(16)*a^(11) - (12155)/(4)*a^(9) + 2431*a^(7) - 1092*a^(5) + (1)/(4)*a^(4) + (455)/(2)*a^(3) - 2*a^(2) - 14*a + 2 , (1)/(4096)*a^(25) + (1)/(4096)*a^(24) - (25)/(2048)*a^(23) - (3)/(256)*a^(22) + (275)/(1024)*a^(21) + (251)/(1024)*a^(20) - (875)/(256)*a^(19) - (375)/(128)*a^(18) + (7125)/(256)*a^(17) + (1411)/(64)*a^(16) - (4845)/(32)*a^(15) - (13889)/(128)*a^(14) + (8925)/(16)*a^(13) + (11245)/(32)*a^(12) - (5525)/(4)*a^(11) - (23517)/(32)*a^(10) + (17875)/(8)*a^(9) + (15171)/(16)*a^(8) - (8937)/(4)*a^(7) - (5551)/(8)*a^(6) + (2499)/(2)*a^(5) + 247*a^(4) - 318*a^(3) - 33*a^(2) + 19*a + 2 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) + (1)/(2048)*a^(22) - (253)/(128)*a^(21) - (11)/(512)*a^(20) + (8855)/(512)*a^(19) + (209)/(512)*a^(18) - (13167)/(128)*a^(17) - (561)/(128)*a^(16) + (6783)/(16)*a^(15) + (935)/(32)*a^(14) - (4845)/(4)*a^(13) - (1001)/(8)*a^(12) + (37791)/(16)*a^(11) + (11011)/(32)*a^(10) - (12155)/(4)*a^(9) - (4719)/(8)*a^(8) + 2431*a^(7) + (4719)/(8)*a^(6) - 1092*a^(5) - (605)/(2)*a^(4) + (455)/(2)*a^(3) + (121)/(2)*a^(2) - 14*a - 2 , (1)/(8192)*a^(26) - (25)/(4096)*a^(24) + (1)/(2048)*a^(23) + (69)/(512)*a^(22) - (23)/(1024)*a^(21) - (1771)/(1024)*a^(20) + (115)/(256)*a^(19) + (7315)/(512)*a^(18) - (1311)/(256)*a^(17) - (10175)/(128)*a^(16) + (1173)/(32)*a^(15) + (4847)/(16)*a^(14) - (2737)/(16)*a^(13) - (50493)/(64)*a^(12) + (2093)/(4)*a^(11) + (22061)/(16)*a^(10) - (4111)/(4)*a^(9) - 1564*a^(8) + (4929)/(4)*a^(7) + 1099*a^(6) - (3261)/(4)*a^(5) - (1805)/(4)*a^(4) + (471)/(2)*a^(3) + 93*a^(2) - 9*a - 1 , (1)/(8192)*a^(27) - (1)/(8192)*a^(26) - (25)/(4096)*a^(25) + (23)/(4096)*a^(24) + (69)/(512)*a^(23) - (115)/(1024)*a^(22) - (1771)/(1024)*a^(21) + (655)/(512)*a^(20) + (3657)/(256)*a^(19) - (2337)/(256)*a^(18) - (20331)/(256)*a^(17) + (10813)/(256)*a^(16) + (1207)/(4)*a^(15) - (16199)/(128)*a^(14) - (12457)/(16)*a^(13) + (15171)/(64)*a^(12) + (42393)/(32)*a^(11) - (8151)/(32)*a^(10) - (22307)/(16)*a^(9) + (2067)/(16)*a^(8) + (1571)/(2)*a^(7) - (85)/(4)*a^(6) - 138*a^(5) + (59)/(4)*a^(4) - (95)/(2)*a^(3) - 12*a^(2) + 15*a + 2 , (1)/(8192)*a^(26) - (13)/(2048)*a^(24) + (299)/(2048)*a^(22) - (1001)/(512)*a^(20) + (8645)/(512)*a^(18) - (12597)/(128)*a^(16) + (12597)/(32)*a^(14) + (1)/(64)*a^(13) - (8619)/(8)*a^(12) - (13)/(32)*a^(11) + (31603)/(16)*a^(10) + (65)/(16)*a^(9) - (9295)/(4)*a^(8) - (39)/(2)*a^(7) + (13013)/(8)*a^(6) + (91)/(2)*a^(5) - (1183)/(2)*a^(4) - (91)/(2)*a^(3) + (169)/(2)*a^(2) + 13*a - 1 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) + (8855)/(512)*a^(19) - (13167)/(128)*a^(17) + (6783)/(16)*a^(15) - (4845)/(4)*a^(13) + (37791)/(16)*a^(11) - (1)/(32)*a^(10) - (12155)/(4)*a^(9) + (5)/(8)*a^(8) + 2431*a^(7) - (35)/(8)*a^(6) - 1092*a^(5) + (25)/(2)*a^(4) + (455)/(2)*a^(3) - (25)/(2)*a^(2) - 14*a + 2 , (1)/(8192)*a^(27) - (13)/(2048)*a^(25) + (75)/(512)*a^(23) - (253)/(128)*a^(21) + (8855)/(512)*a^(19) - (1)/(512)*a^(18) - (13167)/(128)*a^(17) + (9)/(128)*a^(16) + (6783)/(16)*a^(15) - (135)/(128)*a^(14) - (4845)/(4)*a^(13) + (273)/(32)*a^(12) + (37791)/(16)*a^(11) - (1287)/(32)*a^(10) - (12155)/(4)*a^(9) + (891)/(8)*a^(8) + 2431*a^(7) - (693)/(4)*a^(6) - 1092*a^(5) + 135*a^(4) + (455)/(2)*a^(3) - (81)/(2)*a^(2) - 14*a + 2 ], 18257396114183336, [[x^2 - 58, 1], [x^2 - 2, 1], [x^2 - x - 7, 1], [x^4 - 2*x^3 - 17*x^2 + 18*x + 23, 1], [x^7 - x^6 - 12*x^5 + 7*x^4 + 28*x^3 - 14*x^2 - 9*x - 1, 1], [x^14 - 58*x^12 + 1160*x^10 - 9976*x^8 + 36192*x^6 - 50112*x^4 + 24128*x^2 - 3712, 1], [x^14 - 2*x^13 - 37*x^12 + 62*x^11 + 450*x^10 - 640*x^9 - 2333*x^8 + 2584*x^7 + 5734*x^6 - 4278*x^5 - 6342*x^4 + 2284*x^3 + 2429*x^2 + 338*x - 17, 1], [x^14 - x^13 - 13*x^12 + 12*x^11 + 66*x^10 - 55*x^9 - 165*x^8 + 120*x^7 + 210*x^6 - 126*x^5 - 126*x^4 + 56*x^3 + 28*x^2 - 7*x - 1, 1]]]