/* 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^44 - x^43 - 2*x^42 + 5*x^41 + x^40 - 16*x^39 + 13*x^38 + 35*x^37 - 74*x^36 - 31*x^35 + 253*x^34 - 160*x^33 - 599*x^32 + 1079*x^31 + 718*x^30 - 3955*x^29 + 1801*x^28 + 10064*x^27 - 15467*x^26 - 14725*x^25 + 61126*x^24 - 16951*x^23 - 166427*x^22 - 50853*x^21 + 550134*x^20 - 397575*x^19 - 1252827*x^18 + 2445552*x^17 + 1312929*x^16 - 8649585*x^15 + 4710798*x^14 + 21237957*x^13 - 35370351*x^12 - 28343520*x^11 + 134454573*x^10 - 49424013*x^9 - 353939706*x^8 + 502211745*x^7 + 559607373*x^6 - 2066242608*x^5 + 387420489*x^4 + 5811307335*x^3 - 6973568802*x^2 - 10460353203*x + 31381059609, 44, 2, [0, 22], 126825968135030638560321151355314543066931802675799049463396459301394072929140409, [11, 23], [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, a^19, a^20, a^21, a^22, 1/499281*a^23 + 1/3*a^22 - 1/3*a^21 + 1/3*a^20 - 1/3*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 - 16951/166427, 1/1497843*a^24 - 1/1497843*a^23 + 2/9*a^22 + 4/9*a^21 - 1/9*a^20 - 2/9*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 - 16951/499281*a + 61126/166427, 1/4493529*a^25 - 1/4493529*a^24 - 2/4493529*a^23 - 5/27*a^22 - 1/27*a^21 - 11/27*a^20 - 13/27*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 - 16951/1497843*a^2 + 61126/499281*a - 14725/166427, 1/13480587*a^26 - 1/13480587*a^25 - 2/13480587*a^24 + 5/13480587*a^23 + 26/81*a^22 - 11/81*a^21 + 14/81*a^20 + 19/81*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 - 16951/4493529*a^3 + 61126/1497843*a^2 - 14725/499281*a - 15467/166427, 1/40441761*a^27 - 1/40441761*a^26 - 2/40441761*a^25 + 5/40441761*a^24 + 1/40441761*a^23 + 70/243*a^22 + 95/243*a^21 - 62/243*a^20 + 20/243*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 - 16951/13480587*a^4 + 61126/4493529*a^3 - 14725/1497843*a^2 - 15467/499281*a + 10064/166427, 1/121325283*a^28 - 1/121325283*a^27 - 2/121325283*a^26 + 5/121325283*a^25 + 1/121325283*a^24 - 16/121325283*a^23 + 95/729*a^22 - 305/729*a^21 + 20/729*a^20 + 166/729*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 - 16951/40441761*a^5 + 61126/13480587*a^4 - 14725/4493529*a^3 - 15467/1497843*a^2 + 10064/499281*a + 1801/166427, 1/363975849*a^29 - 1/363975849*a^28 - 2/363975849*a^27 + 5/363975849*a^26 + 1/363975849*a^25 - 16/363975849*a^24 + 13/363975849*a^23 - 305/2187*a^22 + 20/2187*a^21 + 895/2187*a^20 - 955/2187*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 - 16951/121325283*a^6 + 61126/40441761*a^5 - 14725/13480587*a^4 - 15467/4493529*a^3 + 10064/1497843*a^2 + 1801/499281*a - 3955/166427, 1/1091927547*a^30 - 1/1091927547*a^29 - 2/1091927547*a^28 + 5/1091927547*a^27 + 1/1091927547*a^26 - 16/1091927547*a^25 + 13/1091927547*a^24 + 35/1091927547*a^23 + 2207/6561*a^22 - 1292/6561*a^21 + 1232/6561*a^20 + 2644/6561*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 - 16951/363975849*a^7 + 61126/121325283*a^6 - 14725/40441761*a^5 - 15467/13480587*a^4 + 10064/4493529*a^3 + 1801/1497843*a^2 - 3955/499281*a + 718/166427, 1/3275782641*a^31 - 1/3275782641*a^30 - 2/3275782641*a^29 + 5/3275782641*a^28 + 1/3275782641*a^27 - 16/3275782641*a^26 + 13/3275782641*a^25 + 35/3275782641*a^24 - 74/3275782641*a^23 - 7853/19683*a^22 + 1232/19683*a^21 + 2644/19683*a^20 - 6340/19683*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 - 16951/1091927547*a^8 + 61126/363975849*a^7 - 14725/121325283*a^6 - 15467/40441761*a^5 + 10064/13480587*a^4 + 1801/4493529*a^3 - 3955/1497843*a^2 + 718/499281*a + 1079/166427, 1/9827347923*a^32 - 1/9827347923*a^31 - 2/9827347923*a^30 + 5/9827347923*a^29 + 1/9827347923*a^28 - 16/9827347923*a^27 + 13/9827347923*a^26 + 35/9827347923*a^25 - 74/9827347923*a^24 - 31/9827347923*a^23 + 20915/59049*a^22 + 2644/59049*a^21 - 6340/59049*a^20 - 1592/59049*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 - 16951/3275782641*a^9 + 61126/1091927547*a^8 - 14725/363975849*a^7 - 15467/121325283*a^6 + 10064/40441761*a^5 + 1801/13480587*a^4 - 3955/4493529*a^3 + 718/1497843*a^2 + 1079/499281*a - 599/166427, 1/29482043769*a^33 - 1/29482043769*a^32 - 2/29482043769*a^31 + 5/29482043769*a^30 + 1/29482043769*a^29 - 16/29482043769*a^28 + 13/29482043769*a^27 + 35/29482043769*a^26 - 74/29482043769*a^25 - 31/29482043769*a^24 + 253/29482043769*a^23 + 2644/177147*a^22 - 65389/177147*a^21 + 57457/177147*a^20 - 38437/177147*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 - 16951/9827347923*a^10 + 61126/3275782641*a^9 - 14725/1091927547*a^8 - 15467/363975849*a^7 + 10064/121325283*a^6 + 1801/40441761*a^5 - 3955/13480587*a^4 + 718/4493529*a^3 + 1079/1497843*a^2 - 599/499281*a - 160/166427, 1/88446131307*a^34 - 1/88446131307*a^33 - 2/88446131307*a^32 + 5/88446131307*a^31 + 1/88446131307*a^30 - 16/88446131307*a^29 + 13/88446131307*a^28 + 35/88446131307*a^27 - 74/88446131307*a^26 - 31/88446131307*a^25 + 253/88446131307*a^24 - 160/88446131307*a^23 - 242536/531441*a^22 + 234604/531441*a^21 - 38437/531441*a^20 - 133934/531441*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 - 16951/29482043769*a^11 + 61126/9827347923*a^10 - 14725/3275782641*a^9 - 15467/1091927547*a^8 + 10064/363975849*a^7 + 1801/121325283*a^6 - 3955/40441761*a^5 + 718/13480587*a^4 + 1079/4493529*a^3 - 599/1497843*a^2 - 160/499281*a + 253/166427, 1/265338393921*a^35 - 1/265338393921*a^34 - 2/265338393921*a^33 + 5/265338393921*a^32 + 1/265338393921*a^31 - 16/265338393921*a^30 + 13/265338393921*a^29 + 35/265338393921*a^28 - 74/265338393921*a^27 - 31/265338393921*a^26 + 253/265338393921*a^25 - 160/265338393921*a^24 - 599/265338393921*a^23 - 296837/1594323*a^22 - 569878/1594323*a^21 - 133934/1594323*a^20 + 249245/1594323*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 - 16951/88446131307*a^12 + 61126/29482043769*a^11 - 14725/9827347923*a^10 - 15467/3275782641*a^9 + 10064/1091927547*a^8 + 1801/363975849*a^7 - 3955/121325283*a^6 + 718/40441761*a^5 + 1079/13480587*a^4 - 599/4493529*a^3 - 160/1497843*a^2 + 253/499281*a - 31/166427, 1/796015181763*a^36 - 1/796015181763*a^35 - 2/796015181763*a^34 + 5/796015181763*a^33 + 1/796015181763*a^32 - 16/796015181763*a^31 + 13/796015181763*a^30 + 35/796015181763*a^29 - 74/796015181763*a^28 - 31/796015181763*a^27 + 253/796015181763*a^26 - 160/796015181763*a^25 - 599/796015181763*a^24 + 1079/796015181763*a^23 - 2164201/4782969*a^22 - 1728257/4782969*a^21 - 1345078/4782969*a^20 + 1746880/4782969*a^19 + 2288354/4782969*a^18 + 2036944/4782969*a^17 + 663932/4782969*a^16 - 1991795/4782969*a^15 - 1/4782969*a^14 - 16951/265338393921*a^13 + 61126/88446131307*a^12 - 14725/29482043769*a^11 - 15467/9827347923*a^10 + 10064/3275782641*a^9 + 1801/1091927547*a^8 - 3955/363975849*a^7 + 718/121325283*a^6 + 1079/40441761*a^5 - 599/13480587*a^4 - 160/4493529*a^3 + 253/1497843*a^2 - 31/499281*a - 74/166427, 1/2388045545289*a^37 - 1/2388045545289*a^36 - 2/2388045545289*a^35 + 5/2388045545289*a^34 + 1/2388045545289*a^33 - 16/2388045545289*a^32 + 13/2388045545289*a^31 + 35/2388045545289*a^30 - 74/2388045545289*a^29 - 31/2388045545289*a^28 + 253/2388045545289*a^27 - 160/2388045545289*a^26 - 599/2388045545289*a^25 + 1079/2388045545289*a^24 + 718/2388045545289*a^23 - 6511226/14348907*a^22 - 1345078/14348907*a^21 + 6529849/14348907*a^20 - 2494615/14348907*a^19 - 2746025/14348907*a^18 - 4119037/14348907*a^17 - 1991795/14348907*a^16 - 1/14348907*a^15 - 16951/796015181763*a^14 + 61126/265338393921*a^13 - 14725/88446131307*a^12 - 15467/29482043769*a^11 + 10064/9827347923*a^10 + 1801/3275782641*a^9 - 3955/1091927547*a^8 + 718/363975849*a^7 + 1079/121325283*a^6 - 599/40441761*a^5 - 160/13480587*a^4 + 253/4493529*a^3 - 31/1497843*a^2 - 74/499281*a + 35/166427, 1/7164136635867*a^38 - 1/7164136635867*a^37 - 2/7164136635867*a^36 + 5/7164136635867*a^35 + 1/7164136635867*a^34 - 16/7164136635867*a^33 + 13/7164136635867*a^32 + 35/7164136635867*a^31 - 74/7164136635867*a^30 - 31/7164136635867*a^29 + 253/7164136635867*a^28 - 160/7164136635867*a^27 - 599/7164136635867*a^26 + 1079/7164136635867*a^25 + 718/7164136635867*a^24 - 3955/7164136635867*a^23 - 15693985/43046721*a^22 - 7819058/43046721*a^21 + 11854292/43046721*a^20 + 11602882/43046721*a^19 - 4119037/43046721*a^18 + 12357112/43046721*a^17 - 1/43046721*a^16 - 16951/2388045545289*a^15 + 61126/796015181763*a^14 - 14725/265338393921*a^13 - 15467/88446131307*a^12 + 10064/29482043769*a^11 + 1801/9827347923*a^10 - 3955/3275782641*a^9 + 718/1091927547*a^8 + 1079/363975849*a^7 - 599/121325283*a^6 - 160/40441761*a^5 + 253/13480587*a^4 - 31/4493529*a^3 - 74/1497843*a^2 + 35/499281*a + 13/166427, 1/21492409907601*a^39 - 1/21492409907601*a^38 - 2/21492409907601*a^37 + 5/21492409907601*a^36 + 1/21492409907601*a^35 - 16/21492409907601*a^34 + 13/21492409907601*a^33 + 35/21492409907601*a^32 - 74/21492409907601*a^31 - 31/21492409907601*a^30 + 253/21492409907601*a^29 - 160/21492409907601*a^28 - 599/21492409907601*a^27 + 1079/21492409907601*a^26 + 718/21492409907601*a^25 - 3955/21492409907601*a^24 + 1801/21492409907601*a^23 + 35227663/129140163*a^22 + 11854292/129140163*a^21 + 11602882/129140163*a^20 - 47165758/129140163*a^19 + 12357112/129140163*a^18 - 1/129140163*a^17 - 16951/7164136635867*a^16 + 61126/2388045545289*a^15 - 14725/796015181763*a^14 - 15467/265338393921*a^13 + 10064/88446131307*a^12 + 1801/29482043769*a^11 - 3955/9827347923*a^10 + 718/3275782641*a^9 + 1079/1091927547*a^8 - 599/363975849*a^7 - 160/121325283*a^6 + 253/40441761*a^5 - 31/13480587*a^4 - 74/4493529*a^3 + 35/1497843*a^2 + 13/499281*a - 16/166427, 1/64477229722803*a^40 - 1/64477229722803*a^39 - 2/64477229722803*a^38 + 5/64477229722803*a^37 + 1/64477229722803*a^36 - 16/64477229722803*a^35 + 13/64477229722803*a^34 + 35/64477229722803*a^33 - 74/64477229722803*a^32 - 31/64477229722803*a^31 + 253/64477229722803*a^30 - 160/64477229722803*a^29 - 599/64477229722803*a^28 + 1079/64477229722803*a^27 + 718/64477229722803*a^26 - 3955/64477229722803*a^25 + 1801/64477229722803*a^24 + 10064/64477229722803*a^23 + 140994455/387420489*a^22 + 140743045/387420489*a^21 - 176305921/387420489*a^20 + 141497275/387420489*a^19 - 1/387420489*a^18 - 16951/21492409907601*a^17 + 61126/7164136635867*a^16 - 14725/2388045545289*a^15 - 15467/796015181763*a^14 + 10064/265338393921*a^13 + 1801/88446131307*a^12 - 3955/29482043769*a^11 + 718/9827347923*a^10 + 1079/3275782641*a^9 - 599/1091927547*a^8 - 160/363975849*a^7 + 253/121325283*a^6 - 31/40441761*a^5 - 74/13480587*a^4 + 35/4493529*a^3 + 13/1497843*a^2 - 16/499281*a + 1/166427, 1/193431689168409*a^41 - 1/193431689168409*a^40 - 2/193431689168409*a^39 + 5/193431689168409*a^38 + 1/193431689168409*a^37 - 16/193431689168409*a^36 + 13/193431689168409*a^35 + 35/193431689168409*a^34 - 74/193431689168409*a^33 - 31/193431689168409*a^32 + 253/193431689168409*a^31 - 160/193431689168409*a^30 - 599/193431689168409*a^29 + 1079/193431689168409*a^28 + 718/193431689168409*a^27 - 3955/193431689168409*a^26 + 1801/193431689168409*a^25 + 10064/193431689168409*a^24 - 15467/193431689168409*a^23 + 528163534/1162261467*a^22 + 211114568/1162261467*a^21 + 528917764/1162261467*a^20 - 1/1162261467*a^19 - 16951/64477229722803*a^18 + 61126/21492409907601*a^17 - 14725/7164136635867*a^16 - 15467/2388045545289*a^15 + 10064/796015181763*a^14 + 1801/265338393921*a^13 - 3955/88446131307*a^12 + 718/29482043769*a^11 + 1079/9827347923*a^10 - 599/3275782641*a^9 - 160/1091927547*a^8 + 253/363975849*a^7 - 31/121325283*a^6 - 74/40441761*a^5 + 35/13480587*a^4 + 13/4493529*a^3 - 16/1497843*a^2 + 1/499281*a + 5/166427, 1/580295067505227*a^42 - 1/580295067505227*a^41 - 2/580295067505227*a^40 + 5/580295067505227*a^39 + 1/580295067505227*a^38 - 16/580295067505227*a^37 + 13/580295067505227*a^36 + 35/580295067505227*a^35 - 74/580295067505227*a^34 - 31/580295067505227*a^33 + 253/580295067505227*a^32 - 160/580295067505227*a^31 - 599/580295067505227*a^30 + 1079/580295067505227*a^29 + 718/580295067505227*a^28 - 3955/580295067505227*a^27 + 1801/580295067505227*a^26 + 10064/580295067505227*a^25 - 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