/* 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 - 2*x^34 + 5*x^33 + x^32 - 16*x^31 + 13*x^30 + 35*x^29 - 74*x^28 - 31*x^27 + 253*x^26 - 160*x^25 - 599*x^24 + 1079*x^23 + 718*x^22 - 3955*x^21 + 1801*x^20 + 10064*x^19 - 15467*x^18 + 30192*x^17 + 16209*x^16 - 106785*x^15 + 58158*x^14 + 262197*x^13 - 436671*x^12 - 349920*x^11 + 1659933*x^10 - 610173*x^9 - 4369626*x^8 + 6200145*x^7 + 6908733*x^6 - 25509168*x^5 + 4782969*x^4 + 71744535*x^3 - 86093442*x^2 - 129140163*x + 387420489, 36, 2, [0, 18], 166990115557548038315544519372094023948173088869511853538488801, [11, 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, 1/46401*a^19 + 1/3*a^18 - 1/3*a^17 + 1/3*a^16 - 1/3*a^15 + 1/3*a^14 - 1/3*a^13 + 1/3*a^12 - 1/3*a^11 + 1/3*a^10 - 1/3*a^9 + 1/3*a^8 - 1/3*a^7 + 1/3*a^6 - 1/3*a^5 + 1/3*a^4 - 1/3*a^3 + 1/3*a^2 - 1/3*a - 5403/15467, 1/139203*a^20 - 1/139203*a^19 - 4/9*a^18 + 1/9*a^17 + 2/9*a^16 + 4/9*a^15 - 1/9*a^14 - 2/9*a^13 - 4/9*a^12 + 1/9*a^11 + 2/9*a^10 + 4/9*a^9 - 1/9*a^8 - 2/9*a^7 - 4/9*a^6 + 1/9*a^5 + 2/9*a^4 + 4/9*a^3 - 1/9*a^2 + 10064/46401*a + 1801/15467, 1/417609*a^21 - 1/417609*a^20 - 2/417609*a^19 - 8/27*a^18 - 7/27*a^17 + 4/27*a^16 - 10/27*a^15 - 2/27*a^14 + 5/27*a^13 + 1/27*a^12 + 11/27*a^11 + 13/27*a^10 + 8/27*a^9 + 7/27*a^8 - 4/27*a^7 + 10/27*a^6 + 2/27*a^5 - 5/27*a^4 - 1/27*a^3 + 10064/139203*a^2 + 1801/46401*a - 3955/15467, 1/1252827*a^22 - 1/1252827*a^21 - 2/1252827*a^20 + 5/1252827*a^19 + 20/81*a^18 + 4/81*a^17 + 17/81*a^16 - 29/81*a^15 - 22/81*a^14 + 28/81*a^13 + 38/81*a^12 + 40/81*a^11 + 8/81*a^10 + 34/81*a^9 + 23/81*a^8 + 37/81*a^7 - 25/81*a^6 - 5/81*a^5 - 1/81*a^4 + 10064/417609*a^3 + 1801/139203*a^2 - 3955/46401*a + 718/15467, 1/3758481*a^23 - 1/3758481*a^22 - 2/3758481*a^21 + 5/3758481*a^20 + 1/3758481*a^19 - 77/243*a^18 + 17/243*a^17 - 29/243*a^16 - 22/243*a^15 + 109/243*a^14 - 43/243*a^13 - 41/243*a^12 - 73/243*a^11 - 47/243*a^10 + 23/243*a^9 + 118/243*a^8 + 56/243*a^7 + 76/243*a^6 - 1/243*a^5 + 10064/1252827*a^4 + 1801/417609*a^3 - 3955/139203*a^2 + 718/46401*a + 1079/15467, 1/11275443*a^24 - 1/11275443*a^23 - 2/11275443*a^22 + 5/11275443*a^21 + 1/11275443*a^20 - 16/11275443*a^19 - 226/729*a^18 - 272/729*a^17 + 221/729*a^16 - 134/729*a^15 + 200/729*a^14 + 202/729*a^13 - 73/729*a^12 + 196/729*a^11 + 23/729*a^10 + 118/729*a^9 - 187/729*a^8 - 167/729*a^7 - 1/729*a^6 + 10064/3758481*a^5 + 1801/1252827*a^4 - 3955/417609*a^3 + 718/139203*a^2 + 1079/46401*a - 599/15467, 1/33826329*a^25 - 1/33826329*a^24 - 2/33826329*a^23 + 5/33826329*a^22 + 1/33826329*a^21 - 16/33826329*a^20 + 13/33826329*a^19 + 457/2187*a^18 + 221/2187*a^17 + 595/2187*a^16 + 929/2187*a^15 - 527/2187*a^14 - 73/2187*a^13 - 533/2187*a^12 + 752/2187*a^11 + 847/2187*a^10 - 916/2187*a^9 + 562/2187*a^8 - 1/2187*a^7 + 10064/11275443*a^6 + 1801/3758481*a^5 - 3955/1252827*a^4 + 718/417609*a^3 + 1079/139203*a^2 - 599/46401*a - 160/15467, 1/101478987*a^26 - 1/101478987*a^25 - 2/101478987*a^24 + 5/101478987*a^23 + 1/101478987*a^22 - 16/101478987*a^21 + 13/101478987*a^20 + 35/101478987*a^19 + 221/6561*a^18 - 1592/6561*a^17 + 929/6561*a^16 - 2714/6561*a^15 - 73/6561*a^14 + 1654/6561*a^13 - 1435/6561*a^12 + 3034/6561*a^11 + 1271/6561*a^10 + 2749/6561*a^9 - 1/6561*a^8 + 10064/33826329*a^7 + 1801/11275443*a^6 - 3955/3758481*a^5 + 718/1252827*a^4 + 1079/417609*a^3 - 599/139203*a^2 - 160/46401*a + 253/15467, 1/304436961*a^27 - 1/304436961*a^26 - 2/304436961*a^25 + 5/304436961*a^24 + 1/304436961*a^23 - 16/304436961*a^22 + 13/304436961*a^21 + 35/304436961*a^20 - 74/304436961*a^19 - 1592/19683*a^18 + 929/19683*a^17 + 3847/19683*a^16 - 6634/19683*a^15 - 4907/19683*a^14 + 5126/19683*a^13 + 9595/19683*a^12 - 5290/19683*a^11 - 3812/19683*a^10 - 1/19683*a^9 + 10064/101478987*a^8 + 1801/33826329*a^7 - 3955/11275443*a^6 + 718/3758481*a^5 + 1079/1252827*a^4 - 599/417609*a^3 - 160/139203*a^2 + 253/46401*a - 31/15467, 1/913310883*a^28 - 1/913310883*a^27 - 2/913310883*a^26 + 5/913310883*a^25 + 1/913310883*a^24 - 16/913310883*a^23 + 13/913310883*a^22 + 35/913310883*a^21 - 74/913310883*a^20 - 31/913310883*a^19 + 20612/59049*a^18 - 15836/59049*a^17 + 13049/59049*a^16 - 24590/59049*a^15 - 14557/59049*a^14 + 29278/59049*a^13 + 14393/59049*a^12 + 15871/59049*a^11 - 1/59049*a^10 + 10064/304436961*a^9 + 1801/101478987*a^8 - 3955/33826329*a^7 + 718/11275443*a^6 + 1079/3758481*a^5 - 599/1252827*a^4 - 160/417609*a^3 + 253/139203*a^2 - 31/46401*a - 74/15467, 1/2739932649*a^29 - 1/2739932649*a^28 - 2/2739932649*a^27 + 5/2739932649*a^26 + 1/2739932649*a^25 - 16/2739932649*a^24 + 13/2739932649*a^23 + 35/2739932649*a^22 - 74/2739932649*a^21 - 31/2739932649*a^20 + 253/2739932649*a^19 + 43213/177147*a^18 + 72098/177147*a^17 - 24590/177147*a^16 - 14557/177147*a^15 + 88327/177147*a^14 - 44656/177147*a^13 - 43178/177147*a^12 - 1/177147*a^11 + 10064/913310883*a^10 + 1801/304436961*a^9 - 3955/101478987*a^8 + 718/33826329*a^7 + 1079/11275443*a^6 - 599/3758481*a^5 - 160/1252827*a^4 + 253/417609*a^3 - 31/139203*a^2 - 74/46401*a + 35/15467, 1/8219797947*a^30 - 1/8219797947*a^29 - 2/8219797947*a^28 + 5/8219797947*a^27 + 1/8219797947*a^26 - 16/8219797947*a^25 + 13/8219797947*a^24 + 35/8219797947*a^23 - 74/8219797947*a^22 - 31/8219797947*a^21 + 253/8219797947*a^20 - 160/8219797947*a^19 + 249245/531441*a^18 + 152557/531441*a^17 + 162590/531441*a^16 - 88820/531441*a^15 + 132491/531441*a^14 + 133969/531441*a^13 - 1/531441*a^12 + 10064/2739932649*a^11 + 1801/913310883*a^10 - 3955/304436961*a^9 + 718/101478987*a^8 + 1079/33826329*a^7 - 599/11275443*a^6 - 160/3758481*a^5 + 253/1252827*a^4 - 31/417609*a^3 - 74/139203*a^2 + 35/46401*a + 13/15467, 1/24659393841*a^31 - 1/24659393841*a^30 - 2/24659393841*a^29 + 5/24659393841*a^28 + 1/24659393841*a^27 - 16/24659393841*a^26 + 13/24659393841*a^25 + 35/24659393841*a^24 - 74/24659393841*a^23 - 31/24659393841*a^22 + 253/24659393841*a^21 - 160/24659393841*a^20 - 599/24659393841*a^19 + 152557/1594323*a^18 + 694031/1594323*a^17 + 442621/1594323*a^16 + 663932/1594323*a^15 - 397472/1594323*a^14 - 1/1594323*a^13 + 10064/8219797947*a^12 + 1801/2739932649*a^11 - 3955/913310883*a^10 + 718/304436961*a^9 + 1079/101478987*a^8 - 599/33826329*a^7 - 160/11275443*a^6 + 253/3758481*a^5 - 31/1252827*a^4 - 74/417609*a^3 + 35/139203*a^2 + 13/46401*a - 16/15467, 1/73978181523*a^32 - 1/73978181523*a^31 - 2/73978181523*a^30 + 5/73978181523*a^29 + 1/73978181523*a^28 - 16/73978181523*a^27 + 13/73978181523*a^26 + 35/73978181523*a^25 - 74/73978181523*a^24 - 31/73978181523*a^23 + 253/73978181523*a^22 - 160/73978181523*a^21 - 599/73978181523*a^20 + 1079/73978181523*a^19 + 2288354/4782969*a^18 + 2036944/4782969*a^17 + 663932/4782969*a^16 - 1991795/4782969*a^15 - 1/4782969*a^14 + 10064/24659393841*a^13 + 1801/8219797947*a^12 - 3955/2739932649*a^11 + 718/913310883*a^10 + 1079/304436961*a^9 - 599/101478987*a^8 - 160/33826329*a^7 + 253/11275443*a^6 - 31/3758481*a^5 - 74/1252827*a^4 + 35/417609*a^3 + 13/139203*a^2 - 16/46401*a + 1/15467, 1/221934544569*a^33 - 1/221934544569*a^32 - 2/221934544569*a^31 + 5/221934544569*a^30 + 1/221934544569*a^29 - 16/221934544569*a^28 + 13/221934544569*a^27 + 35/221934544569*a^26 - 74/221934544569*a^25 - 31/221934544569*a^24 + 253/221934544569*a^23 - 160/221934544569*a^22 - 599/221934544569*a^21 + 1079/221934544569*a^20 + 718/221934544569*a^19 - 2746025/14348907*a^18 - 4119037/14348907*a^17 - 1991795/14348907*a^16 - 1/14348907*a^15 + 10064/73978181523*a^14 + 1801/24659393841*a^13 - 3955/8219797947*a^12 + 718/2739932649*a^11 + 1079/913310883*a^10 - 599/304436961*a^9 - 160/101478987*a^8 + 253/33826329*a^7 - 31/11275443*a^6 - 74/3758481*a^5 + 35/1252827*a^4 + 13/417609*a^3 - 16/139203*a^2 + 1/46401*a + 5/15467, 1/665803633707*a^34 - 1/665803633707*a^33 - 2/665803633707*a^32 + 5/665803633707*a^31 + 1/665803633707*a^30 - 16/665803633707*a^29 + 13/665803633707*a^28 + 35/665803633707*a^27 - 74/665803633707*a^26 - 31/665803633707*a^25 + 253/665803633707*a^24 - 160/665803633707*a^23 - 599/665803633707*a^22 + 1079/665803633707*a^21 + 718/665803633707*a^20 - 3955/665803633707*a^19 - 4119037/43046721*a^18 + 12357112/43046721*a^17 - 1/43046721*a^16 + 10064/221934544569*a^15 + 1801/73978181523*a^14 - 3955/24659393841*a^13 + 718/8219797947*a^12 + 1079/2739932649*a^11 - 599/913310883*a^10 - 160/304436961*a^9 + 253/101478987*a^8 - 31/33826329*a^7 - 74/11275443*a^6 + 35/3758481*a^5 + 13/1252827*a^4 - 16/417609*a^3 + 1/139203*a^2 + 5/46401*a - 2/15467, 1/1997410901121*a^35 - 1/1997410901121*a^34 - 2/1997410901121*a^33 + 5/1997410901121*a^32 + 1/1997410901121*a^31 - 16/1997410901121*a^30 + 13/1997410901121*a^29 + 35/1997410901121*a^28 - 74/1997410901121*a^27 - 31/1997410901121*a^26 + 253/1997410901121*a^25 - 160/1997410901121*a^24 - 599/1997410901121*a^23 + 1079/1997410901121*a^22 + 718/1997410901121*a^21 - 3955/1997410901121*a^20 + 1801/1997410901121*a^19 + 12357112/129140163*a^18 - 1/129140163*a^17 + 10064/665803633707*a^16 + 1801/221934544569*a^15 - 3955/73978181523*a^14 + 718/24659393841*a^13 + 1079/8219797947*a^12 - 599/2739932649*a^11 - 160/913310883*a^10 + 253/304436961*a^9 - 31/101478987*a^8 - 74/33826329*a^7 + 35/11275443*a^6 + 13/3758481*a^5 - 16/1252827*a^4 + 1/417609*a^3 + 5/139203*a^2 - 2/46401*a - 1/15467], 1, 0,0,0,0,0, [[x^2 - x + 5, 1], [x^2 - x - 52, 1], [x^2 - x + 3, 1], [x^3 - x^2 - 6*x + 7, 1], [x^4 + 15*x^2 + 4, 1], [x^6 - x^5 + 2*x^4 + 8*x^3 - x^2 - 5*x + 7, 1], [x^6 - x^5 - 55*x^4 - 49*x^3 + 341*x^2 + 337*x - 107, 1], [x^6 - x^5 - 4*x^4 - 7*x^3 + 67*x^2 + 122*x + 229, 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 + 27*x^10 - 92*x^9 + 308*x^8 - 580*x^7 + 1143*x^6 - 1138*x^5 + 1014*x^4 + 796*x^3 + 1858*x^2 + 2177*x + 1607, 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 - x^17 - 56*x^16 + 56*x^15 + 1312*x^14 - 1312*x^13 - 16643*x^12 + 16643*x^11 + 123406*x^10 - 123406*x^9 - 536825*x^8 + 536825*x^7 + 1291507*x^6 - 1291507*x^5 - 1450991*x^4 + 1450991*x^3 + 418894*x^2 - 418894*x + 44917, 1], [x^18 - 7*x^17 + 31*x^16 - 98*x^15 + 331*x^14 - 957*x^13 + 2693*x^12 - 6227*x^11 + 15226*x^10 - 30674*x^9 + 66392*x^8 - 111391*x^7 + 216508*x^6 - 293668*x^5 + 517517*x^4 - 511304*x^3 + 833369*x^2 - 453934*x + 713641, 1]]]