/* 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^36 - x^35 - 3*x^34 + 7*x^33 + 5*x^32 - 33*x^31 + 13*x^30 + 119*x^29 - 171*x^28 - 305*x^27 + 989*x^26 + 231*x^25 - 4187*x^24 + 3263*x^23 + 13485*x^22 - 26537*x^21 - 27403*x^20 + 133551*x^19 - 23939*x^18 + 534204*x^17 - 438448*x^16 - 1698368*x^15 + 3452160*x^14 + 3341312*x^13 - 17149952*x^12 + 3784704*x^11 + 64815104*x^10 - 79953920*x^9 - 179306496*x^8 + 499122176*x^7 + 218103808*x^6 - 2214592512*x^5 + 1342177280*x^4 + 7516192768*x^3 - 12884901888*x^2 - 17179869184*x + 68719476736, 36, 2, [0, 18], 44387950739803436916061690678602018428037077267652774810791015625, [3, 5, 19], [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, 1/95756*a^19 + 1/4*a^18 - 1/4*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 - 1/4*a - 10083/23939, 1/383024*a^20 - 1/383024*a^19 - 1/16*a^18 - 3/16*a^17 + 7/16*a^16 + 5/16*a^15 - 1/16*a^14 - 3/16*a^13 + 7/16*a^12 + 5/16*a^11 - 1/16*a^10 - 3/16*a^9 + 7/16*a^8 + 5/16*a^7 - 1/16*a^6 - 3/16*a^5 + 7/16*a^4 + 5/16*a^3 - 1/16*a^2 + 37795/95756*a - 3464/23939, 1/1532096*a^21 - 1/1532096*a^20 - 3/1532096*a^19 - 19/64*a^18 + 23/64*a^17 - 11/64*a^16 - 17/64*a^15 - 3/64*a^14 + 7/64*a^13 + 5/64*a^12 + 31/64*a^11 + 13/64*a^10 - 9/64*a^9 + 21/64*a^8 + 15/64*a^7 + 29/64*a^6 - 25/64*a^5 - 27/64*a^4 - 1/64*a^3 + 133551/383024*a^2 - 27403/95756*a - 2598/23939, 1/6128384*a^22 - 1/6128384*a^21 - 3/6128384*a^20 + 7/6128384*a^19 - 41/256*a^18 + 117/256*a^17 + 47/256*a^16 - 3/256*a^15 + 71/256*a^14 - 59/256*a^13 + 31/256*a^12 - 51/256*a^11 - 73/256*a^10 + 21/256*a^9 + 15/256*a^8 - 99/256*a^7 + 39/256*a^6 + 101/256*a^5 - 1/256*a^4 + 133551/1532096*a^3 - 27403/383024*a^2 - 26537/95756*a - 10454/23939, 1/24513536*a^23 - 1/24513536*a^22 - 3/24513536*a^21 + 7/24513536*a^20 + 5/24513536*a^19 + 373/1024*a^18 - 209/1024*a^17 - 259/1024*a^16 + 71/1024*a^15 - 59/1024*a^14 - 225/1024*a^13 + 461/1024*a^12 + 439/1024*a^11 - 235/1024*a^10 - 497/1024*a^9 + 413/1024*a^8 - 473/1024*a^7 - 155/1024*a^6 - 1/1024*a^5 + 133551/6128384*a^4 - 27403/1532096*a^3 - 26537/383024*a^2 + 13485/95756*a + 3263/23939, 1/98054144*a^24 - 1/98054144*a^23 - 3/98054144*a^22 + 7/98054144*a^21 + 5/98054144*a^20 - 33/98054144*a^19 + 1839/4096*a^18 + 765/4096*a^17 + 71/4096*a^16 + 965/4096*a^15 - 1249/4096*a^14 + 1485/4096*a^13 - 585/4096*a^12 - 1259/4096*a^11 - 497/4096*a^10 + 1437/4096*a^9 + 551/4096*a^8 + 1893/4096*a^7 - 1/4096*a^6 + 133551/24513536*a^5 - 27403/6128384*a^4 - 26537/1532096*a^3 + 13485/383024*a^2 + 3263/95756*a - 4187/23939, 1/392216576*a^25 - 1/392216576*a^24 - 3/392216576*a^23 + 7/392216576*a^22 + 5/392216576*a^21 - 33/392216576*a^20 + 13/392216576*a^19 - 3331/16384*a^18 - 4025/16384*a^17 + 965/16384*a^16 - 1249/16384*a^15 - 2611/16384*a^14 + 7607/16384*a^13 + 2837/16384*a^12 - 497/16384*a^11 + 5533/16384*a^10 - 3545/16384*a^9 - 2203/16384*a^8 - 1/16384*a^7 + 133551/98054144*a^6 - 27403/24513536*a^5 - 26537/6128384*a^4 + 13485/1532096*a^3 + 3263/383024*a^2 - 4187/95756*a + 231/23939, 1/1568866304*a^26 - 1/1568866304*a^25 - 3/1568866304*a^24 + 7/1568866304*a^23 + 5/1568866304*a^22 - 33/1568866304*a^21 + 13/1568866304*a^20 + 119/1568866304*a^19 - 20409/65536*a^18 - 31803/65536*a^17 - 17633/65536*a^16 + 13773/65536*a^15 - 8777/65536*a^14 + 19221/65536*a^13 + 15887/65536*a^12 - 27235/65536*a^11 + 29223/65536*a^10 + 14181/65536*a^9 - 1/65536*a^8 + 133551/392216576*a^7 - 27403/98054144*a^6 - 26537/24513536*a^5 + 13485/6128384*a^4 + 3263/1532096*a^3 - 4187/383024*a^2 + 231/95756*a + 989/23939, 1/6275465216*a^27 - 1/6275465216*a^26 - 3/6275465216*a^25 + 7/6275465216*a^24 + 5/6275465216*a^23 - 33/6275465216*a^22 + 13/6275465216*a^21 + 119/6275465216*a^20 - 171/6275465216*a^19 - 97339/262144*a^18 - 83169/262144*a^17 - 51763/262144*a^16 + 122295/262144*a^15 + 84757/262144*a^14 - 49649/262144*a^13 - 27235/262144*a^12 - 36313/262144*a^11 - 116891/262144*a^10 - 1/262144*a^9 + 133551/1568866304*a^8 - 27403/392216576*a^7 - 26537/98054144*a^6 + 13485/24513536*a^5 + 3263/6128384*a^4 - 4187/1532096*a^3 + 231/383024*a^2 + 989/95756*a - 305/23939, 1/25101860864*a^28 - 1/25101860864*a^27 - 3/25101860864*a^26 + 7/25101860864*a^25 + 5/25101860864*a^24 - 33/25101860864*a^23 + 13/25101860864*a^22 + 119/25101860864*a^21 - 171/25101860864*a^20 - 305/25101860864*a^19 + 178975/1048576*a^18 + 210381/1048576*a^17 + 122295/1048576*a^16 + 84757/1048576*a^15 + 474639/1048576*a^14 + 234909/1048576*a^13 - 36313/1048576*a^12 + 145253/1048576*a^11 - 1/1048576*a^10 + 133551/6275465216*a^9 - 27403/1568866304*a^8 - 26537/392216576*a^7 + 13485/98054144*a^6 + 3263/24513536*a^5 - 4187/6128384*a^4 + 231/1532096*a^3 + 989/383024*a^2 - 305/95756*a - 171/23939, 1/100407443456*a^29 - 1/100407443456*a^28 - 3/100407443456*a^27 + 7/100407443456*a^26 + 5/100407443456*a^25 - 33/100407443456*a^24 + 13/100407443456*a^23 + 119/100407443456*a^22 - 171/100407443456*a^21 - 305/100407443456*a^20 + 989/100407443456*a^19 - 838195/4194304*a^18 + 122295/4194304*a^17 - 963819/4194304*a^16 + 474639/4194304*a^15 - 813667/4194304*a^14 - 1084889/4194304*a^13 + 145253/4194304*a^12 - 1/4194304*a^11 + 133551/25101860864*a^10 - 27403/6275465216*a^9 - 26537/1568866304*a^8 + 13485/392216576*a^7 + 3263/98054144*a^6 - 4187/24513536*a^5 + 231/6128384*a^4 + 989/1532096*a^3 - 305/383024*a^2 - 171/95756*a + 119/23939, 1/401629773824*a^30 - 1/401629773824*a^29 - 3/401629773824*a^28 + 7/401629773824*a^27 + 5/401629773824*a^26 - 33/401629773824*a^25 + 13/401629773824*a^24 + 119/401629773824*a^23 - 171/401629773824*a^22 - 305/401629773824*a^21 + 989/401629773824*a^20 + 231/401629773824*a^19 - 8266313/16777216*a^18 - 5158123/16777216*a^17 + 4668943/16777216*a^16 - 813667/16777216*a^15 - 1084889/16777216*a^14 + 4339557/16777216*a^13 - 1/16777216*a^12 + 133551/100407443456*a^11 - 27403/25101860864*a^10 - 26537/6275465216*a^9 + 13485/1568866304*a^8 + 3263/392216576*a^7 - 4187/98054144*a^6 + 231/24513536*a^5 + 989/6128384*a^4 - 305/1532096*a^3 - 171/383024*a^2 + 119/95756*a + 13/23939, 1/1606519095296*a^31 - 1/1606519095296*a^30 - 3/1606519095296*a^29 + 7/1606519095296*a^28 + 5/1606519095296*a^27 - 33/1606519095296*a^26 + 13/1606519095296*a^25 + 119/1606519095296*a^24 - 171/1606519095296*a^23 - 305/1606519095296*a^22 + 989/1606519095296*a^21 + 231/1606519095296*a^20 - 4187/1606519095296*a^19 - 5158123/67108864*a^18 - 28885489/67108864*a^17 - 17590883/67108864*a^16 - 1084889/67108864*a^15 + 4339557/67108864*a^14 - 1/67108864*a^13 + 133551/401629773824*a^12 - 27403/100407443456*a^11 - 26537/25101860864*a^10 + 13485/6275465216*a^9 + 3263/1568866304*a^8 - 4187/392216576*a^7 + 231/98054144*a^6 + 989/24513536*a^5 - 305/6128384*a^4 - 171/1532096*a^3 + 119/383024*a^2 + 13/95756*a - 33/23939, 1/6426076381184*a^32 - 1/6426076381184*a^31 - 3/6426076381184*a^30 + 7/6426076381184*a^29 + 5/6426076381184*a^28 - 33/6426076381184*a^27 + 13/6426076381184*a^26 + 119/6426076381184*a^25 - 171/6426076381184*a^24 - 305/6426076381184*a^23 + 989/6426076381184*a^22 + 231/6426076381184*a^21 - 4187/6426076381184*a^20 + 3263/6426076381184*a^19 - 28885489/268435456*a^18 + 49517981/268435456*a^17 + 66023975/268435456*a^16 + 4339557/268435456*a^15 - 1/268435456*a^14 + 133551/1606519095296*a^13 - 27403/401629773824*a^12 - 26537/100407443456*a^11 + 13485/25101860864*a^10 + 3263/6275465216*a^9 - 4187/1568866304*a^8 + 231/392216576*a^7 + 989/98054144*a^6 - 305/24513536*a^5 - 171/6128384*a^4 + 119/1532096*a^3 + 13/383024*a^2 - 33/95756*a + 5/23939, 1/25704305524736*a^33 - 1/25704305524736*a^32 - 3/25704305524736*a^31 + 7/25704305524736*a^30 + 5/25704305524736*a^29 - 33/25704305524736*a^28 + 13/25704305524736*a^27 + 119/25704305524736*a^26 - 171/25704305524736*a^25 - 305/25704305524736*a^24 + 989/25704305524736*a^23 + 231/25704305524736*a^22 - 4187/25704305524736*a^21 + 3263/25704305524736*a^20 + 13485/25704305524736*a^19 + 49517981/1073741824*a^18 + 66023975/1073741824*a^17 - 264095899/1073741824*a^16 - 1/1073741824*a^15 + 133551/6426076381184*a^14 - 27403/1606519095296*a^13 - 26537/401629773824*a^12 + 13485/100407443456*a^11 + 3263/25101860864*a^10 - 4187/6275465216*a^9 + 231/1568866304*a^8 + 989/392216576*a^7 - 305/98054144*a^6 - 171/24513536*a^5 + 119/6128384*a^4 + 13/1532096*a^3 - 33/383024*a^2 + 5/95756*a + 7/23939, 1/102817222098944*a^34 - 1/102817222098944*a^33 - 3/102817222098944*a^32 + 7/102817222098944*a^31 + 5/102817222098944*a^30 - 33/102817222098944*a^29 + 13/102817222098944*a^28 + 119/102817222098944*a^27 - 171/102817222098944*a^26 - 305/102817222098944*a^25 + 989/102817222098944*a^24 + 231/102817222098944*a^23 - 4187/102817222098944*a^22 + 3263/102817222098944*a^21 + 13485/102817222098944*a^20 - 26537/102817222098944*a^19 + 66023975/4294967296*a^18 - 264095899/4294967296*a^17 - 1/4294967296*a^16 + 133551/25704305524736*a^15 - 27403/6426076381184*a^14 - 26537/1606519095296*a^13 + 13485/401629773824*a^12 + 3263/100407443456*a^11 - 4187/25101860864*a^10 + 231/6275465216*a^9 + 989/1568866304*a^8 - 305/392216576*a^7 - 171/98054144*a^6 + 119/24513536*a^5 + 13/6128384*a^4 - 33/1532096*a^3 + 5/383024*a^2 + 7/95756*a - 3/23939, 1/411268888395776*a^35 - 1/411268888395776*a^34 - 3/411268888395776*a^33 + 7/411268888395776*a^32 + 5/411268888395776*a^31 - 33/411268888395776*a^30 + 13/411268888395776*a^29 + 119/411268888395776*a^28 - 171/411268888395776*a^27 - 305/411268888395776*a^26 + 989/411268888395776*a^25 + 231/411268888395776*a^24 - 4187/411268888395776*a^23 + 3263/411268888395776*a^22 + 13485/411268888395776*a^21 - 26537/411268888395776*a^20 - 27403/411268888395776*a^19 - 264095899/17179869184*a^18 - 1/17179869184*a^17 + 133551/102817222098944*a^16 - 27403/25704305524736*a^15 - 26537/6426076381184*a^14 + 13485/1606519095296*a^13 + 3263/401629773824*a^12 - 4187/100407443456*a^11 + 231/25101860864*a^10 + 989/6275465216*a^9 - 305/1568866304*a^8 - 171/392216576*a^7 + 119/98054144*a^6 + 13/24513536*a^5 - 33/6128384*a^4 + 5/1532096*a^3 + 7/383024*a^2 - 3/95756*a - 1/23939], 1, 0,0,0,0,0, [[x^2 - x + 5, 1], [x^2 - x + 4, 1], [x^2 - x - 71, 1], [x^3 - x^2 - 6*x + 7, 1], [x^4 + 17*x^2 + 1, 1], [x^6 - x^5 + 2*x^4 + 8*x^3 - x^2 - 5*x + 7, 1], [x^6 - x^5 - x^4 - 9*x^3 + 87*x^2 + 145*x + 379, 1], [x^6 - x^5 - 74*x^4 - 68*x^3 + 607*x^2 + 603*x - 449, 1], [x^9 - x^8 - 8*x^7 + 7*x^6 + 21*x^5 - 15*x^4 - 20*x^3 + 10*x^2 + 5*x - 1, 1], [x^12 - 4*x^11 + 33*x^10 - 112*x^9 + 445*x^8 - 892*x^7 + 2155*x^6 - 2150*x^5 + 2960*x^4 + 2340*x^3 + 3547*x^2 + 8249*x + 3769, 1], [x^18 - x^17 + 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], [x^18 - 7*x^17 + 40*x^16 - 154*x^15 + 627*x^14 - 1979*x^13 + 6508*x^12 - 16865*x^11 + 47380*x^10 - 103535*x^9 + 254065*x^8 - 459765*x^7 + 999805*x^6 - 1439914*x^5 + 2800752*x^4 - 2907231*x^3 + 5123532*x^2 - 2913750*x + 4775041, 1], [x^18 - x^17 - 75*x^16 + 75*x^15 + 2357*x^14 - 2357*x^13 - 40203*x^12 + 40203*x^11 + 402421*x^10 - 402421*x^9 - 2379787*x^8 + 2379787*x^7 + 7892981*x^6 - 7892981*x^5 - 12652555*x^4 + 12652555*x^3 + 6025205*x^2 - 6025205*x + 1044469, 1]]]