/* 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^32 - x^31 - x^30 + 3*x^29 - x^28 - 5*x^27 + 7*x^26 + 3*x^25 - 17*x^24 + 11*x^23 + 23*x^22 - 45*x^21 - x^20 + 91*x^19 - 89*x^18 - 93*x^17 + 271*x^16 - 186*x^15 - 356*x^14 + 728*x^13 - 16*x^12 - 1440*x^11 + 1472*x^10 + 1408*x^9 - 4352*x^8 + 1536*x^7 + 7168*x^6 - 10240*x^5 - 4096*x^4 + 24576*x^3 - 16384*x^2 - 32768*x + 65536, 32, 32, [0, 16], 272292877590407567597186433188495333554574218609249, [7, 17], [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, 1/542*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^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 93/271, 1/1084*a^18 - 1/1084*a^17 + 1/4*a^16 + 1/4*a^15 + 1/4*a^14 + 1/4*a^13 + 1/4*a^12 + 1/4*a^11 + 1/4*a^10 + 1/4*a^9 + 1/4*a^8 + 1/4*a^7 + 1/4*a^6 + 1/4*a^5 + 1/4*a^4 + 1/4*a^3 + 1/4*a^2 - 93/542*a - 89/271, 1/2168*a^19 - 1/2168*a^18 - 1/2168*a^17 - 3/8*a^16 + 1/8*a^15 - 3/8*a^14 + 1/8*a^13 - 3/8*a^12 + 1/8*a^11 - 3/8*a^10 + 1/8*a^9 - 3/8*a^8 + 1/8*a^7 - 3/8*a^6 + 1/8*a^5 - 3/8*a^4 + 1/8*a^3 - 93/1084*a^2 - 89/542*a + 91/271, 1/4336*a^20 - 1/4336*a^19 - 1/4336*a^18 + 3/4336*a^17 + 1/16*a^16 + 5/16*a^15 - 7/16*a^14 - 3/16*a^13 + 1/16*a^12 + 5/16*a^11 - 7/16*a^10 - 3/16*a^9 + 1/16*a^8 + 5/16*a^7 - 7/16*a^6 - 3/16*a^5 + 1/16*a^4 - 93/2168*a^3 - 89/1084*a^2 + 91/542*a - 1/271, 1/8672*a^21 - 1/8672*a^20 - 1/8672*a^19 + 3/8672*a^18 - 1/8672*a^17 - 11/32*a^16 + 9/32*a^15 + 13/32*a^14 + 1/32*a^13 + 5/32*a^12 - 7/32*a^11 - 3/32*a^10 - 15/32*a^9 - 11/32*a^8 + 9/32*a^7 + 13/32*a^6 + 1/32*a^5 - 93/4336*a^4 - 89/2168*a^3 + 91/1084*a^2 - 1/542*a - 45/271, 1/17344*a^22 - 1/17344*a^21 - 1/17344*a^20 + 3/17344*a^19 - 1/17344*a^18 - 5/17344*a^17 + 9/64*a^16 + 13/64*a^15 - 31/64*a^14 + 5/64*a^13 - 7/64*a^12 - 3/64*a^11 + 17/64*a^10 - 11/64*a^9 - 23/64*a^8 - 19/64*a^7 + 1/64*a^6 - 93/8672*a^5 - 89/4336*a^4 + 91/2168*a^3 - 1/1084*a^2 - 45/542*a + 23/271, 1/34688*a^23 - 1/34688*a^22 - 1/34688*a^21 + 3/34688*a^20 - 1/34688*a^19 - 5/34688*a^18 + 7/34688*a^17 - 51/128*a^16 + 33/128*a^15 - 59/128*a^14 - 7/128*a^13 - 3/128*a^12 + 17/128*a^11 - 11/128*a^10 - 23/128*a^9 + 45/128*a^8 + 1/128*a^7 - 93/17344*a^6 - 89/8672*a^5 + 91/4336*a^4 - 1/2168*a^3 - 45/1084*a^2 + 23/542*a + 11/271, 1/69376*a^24 - 1/69376*a^23 - 1/69376*a^22 + 3/69376*a^21 - 1/69376*a^20 - 5/69376*a^19 + 7/69376*a^18 + 3/69376*a^17 + 33/256*a^16 + 69/256*a^15 + 121/256*a^14 - 3/256*a^13 + 17/256*a^12 - 11/256*a^11 - 23/256*a^10 + 45/256*a^9 + 1/256*a^8 - 93/34688*a^7 - 89/17344*a^6 + 91/8672*a^5 - 1/4336*a^4 - 45/2168*a^3 + 23/1084*a^2 + 11/542*a - 17/271, 1/138752*a^25 - 1/138752*a^24 - 1/138752*a^23 + 3/138752*a^22 - 1/138752*a^21 - 5/138752*a^20 + 7/138752*a^19 + 3/138752*a^18 - 17/138752*a^17 - 187/512*a^16 + 121/512*a^15 + 253/512*a^14 + 17/512*a^13 - 11/512*a^12 - 23/512*a^11 + 45/512*a^10 + 1/512*a^9 - 93/69376*a^8 - 89/34688*a^7 + 91/17344*a^6 - 1/8672*a^5 - 45/4336*a^4 + 23/2168*a^3 + 11/1084*a^2 - 17/542*a + 3/271, 1/277504*a^26 - 1/277504*a^25 - 1/277504*a^24 + 3/277504*a^23 - 1/277504*a^22 - 5/277504*a^21 + 7/277504*a^20 + 3/277504*a^19 - 17/277504*a^18 + 11/277504*a^17 + 121/1024*a^16 + 253/1024*a^15 - 495/1024*a^14 - 11/1024*a^13 - 23/1024*a^12 + 45/1024*a^11 + 1/1024*a^10 - 93/138752*a^9 - 89/69376*a^8 + 91/34688*a^7 - 1/17344*a^6 - 45/8672*a^5 + 23/4336*a^4 + 11/2168*a^3 - 17/1084*a^2 + 3/542*a + 7/271, 1/555008*a^27 - 1/555008*a^26 - 1/555008*a^25 + 3/555008*a^24 - 1/555008*a^23 - 5/555008*a^22 + 7/555008*a^21 + 3/555008*a^20 - 17/555008*a^19 + 11/555008*a^18 + 23/555008*a^17 - 771/2048*a^16 + 529/2048*a^15 + 1013/2048*a^14 - 23/2048*a^13 + 45/2048*a^12 + 1/2048*a^11 - 93/277504*a^10 - 89/138752*a^9 + 91/69376*a^8 - 1/34688*a^7 - 45/17344*a^6 + 23/8672*a^5 + 11/4336*a^4 - 17/2168*a^3 + 3/1084*a^2 + 7/542*a - 5/271, 1/1110016*a^28 - 1/1110016*a^27 - 1/1110016*a^26 + 3/1110016*a^25 - 1/1110016*a^24 - 5/1110016*a^23 + 7/1110016*a^22 + 3/1110016*a^21 - 17/1110016*a^20 + 11/1110016*a^19 + 23/1110016*a^18 - 45/1110016*a^17 + 529/4096*a^16 + 1013/4096*a^15 + 2025/4096*a^14 + 45/4096*a^13 + 1/4096*a^12 - 93/555008*a^11 - 89/277504*a^10 + 91/138752*a^9 - 1/69376*a^8 - 45/34688*a^7 + 23/17344*a^6 + 11/8672*a^5 - 17/4336*a^4 + 3/2168*a^3 + 7/1084*a^2 - 5/542*a - 1/271, 1/2220032*a^29 - 1/2220032*a^28 - 1/2220032*a^27 + 3/2220032*a^26 - 1/2220032*a^25 - 5/2220032*a^24 + 7/2220032*a^23 + 3/2220032*a^22 - 17/2220032*a^21 + 11/2220032*a^20 + 23/2220032*a^19 - 45/2220032*a^18 - 1/2220032*a^17 - 3083/8192*a^16 + 2025/8192*a^15 - 4051/8192*a^14 + 1/8192*a^13 - 93/1110016*a^12 - 89/555008*a^11 + 91/277504*a^10 - 1/138752*a^9 - 45/69376*a^8 + 23/34688*a^7 + 11/17344*a^6 - 17/8672*a^5 + 3/4336*a^4 + 7/2168*a^3 - 5/1084*a^2 - 1/542*a + 3/271, 1/4440064*a^30 - 1/4440064*a^29 - 1/4440064*a^28 + 3/4440064*a^27 - 1/4440064*a^26 - 5/4440064*a^25 + 7/4440064*a^24 + 3/4440064*a^23 - 17/4440064*a^22 + 11/4440064*a^21 + 23/4440064*a^20 - 45/4440064*a^19 - 1/4440064*a^18 + 91/4440064*a^17 - 6167/16384*a^16 - 4051/16384*a^15 + 1/16384*a^14 - 93/2220032*a^13 - 89/1110016*a^12 + 91/555008*a^11 - 1/277504*a^10 - 45/138752*a^9 + 23/69376*a^8 + 11/34688*a^7 - 17/17344*a^6 + 3/8672*a^5 + 7/4336*a^4 - 5/2168*a^3 - 1/1084*a^2 + 3/542*a - 1/271, 1/8880128*a^31 - 1/8880128*a^30 - 1/8880128*a^29 + 3/8880128*a^28 - 1/8880128*a^27 - 5/8880128*a^26 + 7/8880128*a^25 + 3/8880128*a^24 - 17/8880128*a^23 + 11/8880128*a^22 + 23/8880128*a^21 - 45/8880128*a^20 - 1/8880128*a^19 + 91/8880128*a^18 - 89/8880128*a^17 + 12333/32768*a^16 + 1/32768*a^15 - 93/4440064*a^14 - 89/2220032*a^13 + 91/1110016*a^12 - 1/555008*a^11 - 45/277504*a^10 + 23/138752*a^9 + 11/69376*a^8 - 17/34688*a^7 + 3/17344*a^6 + 7/8672*a^5 - 5/4336*a^4 - 1/2168*a^3 + 3/1084*a^2 - 1/542*a - 1/271], 1, 45, [3, 15], 1, [ (3)/(4336)*a^(21) - (287)/(4336)*a^(4) - 1 , (1)/(1084)*a^(19) - (457)/(1084)*a^(2) + 1 , (23)/(555008)*a^(28) + (11)/(277504)*a^(27) - (17)/(138752)*a^(26) + (3)/(69376)*a^(25) + (7)/(34688)*a^(24) - (5)/(17344)*a^(23) - (1)/(8672)*a^(22) + (3)/(4336)*a^(21) + (7917)/(555008)*a^(11) - (8279)/(277504)*a^(10) + (181)/(138752)*a^(9) + (4049)/(69376)*a^(8) - (2115)/(34688)*a^(7) - (967)/(17344)*a^(6) + (1541)/(8672)*a^(5) - (287)/(4336)*a^(4) , (11)/(277504)*a^(27) - (17)/(138752)*a^(26) + (1)/(542)*a^(18) - (8279)/(277504)*a^(10) + (181)/(138752)*a^(9) + (85)/(542)*a , (17)/(138752)*a^(26) + (1)/(8672)*a^(22) - (1)/(542)*a^(18) - (181)/(138752)*a^(9) - (1541)/(8672)*a^(5) - (85)/(542)*a , (93)/(8880128)*a^(31) - (89)/(8880128)*a^(30) + (267)/(8880128)*a^(29) + (279)/(8880128)*a^(28) - (93)/(8880128)*a^(27) - (465)/(8880128)*a^(26) + (267)/(8880128)*a^(25) + (279)/(8880128)*a^(24) - (1581)/(8880128)*a^(23) + (1023)/(8880128)*a^(22) - (4005)/(8880128)*a^(21) - (89)/(8880128)*a^(20) - (93)/(8880128)*a^(19) + (8463)/(8880128)*a^(18) - (8277)/(8880128)*a^(17) + (89)/(32768)*a^(16) + (93)/(32768)*a^(15) - (8649)/(4440064)*a^(14) + (8099)/(1110016)*a^(13) - (89)/(555008)*a^(12) - (93)/(555008)*a^(11) - (4185)/(277504)*a^(10) + (2139)/(138752)*a^(9) - (1513)/(34688)*a^(8) - (1581)/(34688)*a^(7) + (279)/(17344)*a^(6) + (651)/(8672)*a^(5) - (89)/(2168)*a^(4) + (267)/(1084)*a^(3) + (279)/(1084)*a^(2) - (93)/(542)*a + (178)/(271) , (45)/(1110016)*a^(29) + (17)/(138752)*a^(26) + (5)/(17344)*a^(23) - (8641)/(1110016)*a^(12) - (181)/(138752)*a^(9) + (967)/(17344)*a^(6) , (1)/(2220032)*a^(31) + (1)/(2220032)*a^(30) - (5)/(17344)*a^(23) - (5)/(8672)*a^(22) + (24475)/(2220032)*a^(14) + (24475)/(2220032)*a^(13) - (967)/(17344)*a^(6) - (967)/(8672)*a^(5) , (93)/(8880128)*a^(31) - (93)/(8880128)*a^(30) - (93)/(8880128)*a^(29) + (647)/(8880128)*a^(28) - (93)/(8880128)*a^(27) - (465)/(8880128)*a^(26) + (651)/(8880128)*a^(25) + (2839)/(8880128)*a^(24) - (1581)/(8880128)*a^(23) + (1023)/(8880128)*a^(22) + (2139)/(8880128)*a^(21) + (8103)/(8880128)*a^(20) - (93)/(8880128)*a^(19) + (8463)/(8880128)*a^(18) - (8277)/(8880128)*a^(17) + (89)/(32768)*a^(16) + (93)/(32768)*a^(15) - (8649)/(4440064)*a^(14) - (8277)/(2220032)*a^(13) + (8463)/(1110016)*a^(12) + (489)/(34688)*a^(11) - (4185)/(277504)*a^(10) + (2139)/(138752)*a^(9) + (1023)/(69376)*a^(8) + (353)/(34688)*a^(7) + (279)/(17344)*a^(6) + (651)/(8672)*a^(5) - (465)/(4336)*a^(4) - (95)/(542)*a^(3) + (279)/(1084)*a^(2) - (93)/(542)*a - (93)/(271) , (23)/(555008)*a^(28) - (3)/(69376)*a^(26) + (3)/(34688)*a^(24) + (1)/(8672)*a^(22) + (7917)/(555008)*a^(11) - (4049)/(69376)*a^(9) + (4049)/(34688)*a^(7) - (1541)/(8672)*a^(5) , (45)/(1110016)*a^(29) - (23)/(555008)*a^(28) - (11)/(277504)*a^(27) + (17)/(138752)*a^(26) - (3)/(69376)*a^(25) - (1)/(8672)*a^(24) + (3)/(4336)*a^(23) - (5)/(8672)*a^(22) - (1)/(4336)*a^(21) + (3)/(2168)*a^(20) - (1)/(542)*a^(19) - (8641)/(1110016)*a^(12) - (7917)/(555008)*a^(11) + (8279)/(277504)*a^(10) - (181)/(138752)*a^(9) - (4049)/(69376)*a^(8) + (1541)/(8672)*a^(7) - (287)/(4336)*a^(6) - (967)/(8672)*a^(5) + (1541)/(4336)*a^(4) - (287)/(2168)*a^(3) - (85)/(542)*a^(2) + a , (17)/(138752)*a^(27) - (7)/(34688)*a^(24) - (1)/(2168)*a^(20) + (1)/(271)*a^(17) - (181)/(138752)*a^(10) + (2115)/(34688)*a^(7) - (627)/(2168)*a^(3) + (85)/(271) , (89)/(8880128)*a^(31) + (89)/(8880128)*a^(30) - (267)/(8880128)*a^(29) + (89)/(8880128)*a^(28) + (93)/(8880128)*a^(27) - (623)/(8880128)*a^(26) - (267)/(8880128)*a^(25) + (2281)/(8880128)*a^(24) - (979)/(8880128)*a^(23) - (2047)/(8880128)*a^(22) + (10149)/(8880128)*a^(21) + (89)/(8880128)*a^(20) - (8099)/(8880128)*a^(19) + (7921)/(8880128)*a^(18) + (8277)/(8880128)*a^(17) - (89)/(32768)*a^(16) - (93)/(32768)*a^(15) + (7921)/(2220032)*a^(14) - (8099)/(1110016)*a^(13) + (89)/(555008)*a^(12) + (4005)/(277504)*a^(11) + (4185)/(277504)*a^(10) - (979)/(69376)*a^(9) + (1513)/(34688)*a^(8) + (3515)/(34688)*a^(7) - (623)/(8672)*a^(6) + (445)/(4336)*a^(5) - (109)/(4336)*a^(4) - (267)/(1084)*a^(3) + (89)/(542)*a^(2) - (182)/(271)*a - (178)/(271) , (91)/(4440064)*a^(31) + (5)/(17344)*a^(23) + (3)/(2168)*a^(20) + (1)/(271)*a^(17) + (7193)/(4440064)*a^(14) + (967)/(17344)*a^(6) - (287)/(2168)*a^(3) - (186)/(271) , (7)/(34688)*a^(24) - (7)/(17344)*a^(23) + (3)/(4336)*a^(22) - (3)/(4336)*a^(21) - (2115)/(34688)*a^(7) + (2115)/(17344)*a^(6) - (287)/(4336)*a^(5) + (287)/(4336)*a^(4) ], 308154877506.37555, [[x^2 - x + 30, 1], [x^2 - x - 4, 1], [x^2 - x + 2, 1], [x^4 - 5*x^2 + 36, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^4 - x^3 + 28*x^2 + x + 239, 1], [x^8 - 2*x^7 - 4*x^6 + 12*x^5 + 28*x^4 - 76*x^3 + 223*x^2 - 182*x + 268, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1], [x^8 - x^7 + 27*x^6 - 28*x^5 + 151*x^4 - 350*x^3 + 500*x^2 - 846*x + 1157, 1], [x^16 - x^15 + 23*x^14 - 16*x^13 + 247*x^12 - 128*x^11 + 1478*x^10 - 512*x^9 + 5217*x^8 - 1206*x^7 + 10340*x^6 - 1072*x^5 + 10480*x^4 - 960*x^3 + 3968*x^2 + 512*x + 256, 1], [x^16 - x^15 - 33*x^14 + 33*x^13 + 443*x^12 - 443*x^11 - 3093*x^10 + 3093*x^9 + 11867*x^8 - 11867*x^7 - 24037*x^6 + 24037*x^5 + 21659*x^4 - 21659*x^3 - 4453*x^2 + 4453*x - 101, 1], [x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1]]]