/* 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 - 42*x^42 + 1004*x^40 - 16416*x^38 + 203056*x^36 - 1976896*x^34 + 15592256*x^32 - 100902784*x^30 + 540972800*x^28 - 2406430208*x^26 + 8885665792*x^24 - 27062865920*x^22 + 67552104448*x^20 - 136133230592*x^18 + 218558169088*x^16 - 271461023744*x^14 + 255644925952*x^12 - 171145035776*x^10 + 80371253248*x^8 - 21592276992*x^6 + 3817865216*x^4 - 138412032*x^2 + 4194304, 44, 2, [0, 22], 6819629148478549071885414510662846662953220513498055755117351820034888330697796222976, [2, 3, 23], [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, 1/16384*a^28, 1/16384*a^29, 1/32768*a^30, 1/32768*a^31, 1/65536*a^32, 1/65536*a^33, 1/131072*a^34, 1/131072*a^35, 1/262144*a^36, 1/262144*a^37, 1/524288*a^38, 1/524288*a^39, 1/40373321728*a^40 - 7487/10093330432*a^38 - 7545/10093330432*a^36 - 11609/5046665216*a^34 + 12115/2523332608*a^32 + 247/78854144*a^30 + 473/39427072*a^28 - 2463/78854144*a^26 + 3271/157708288*a^24 - 1295/39427072*a^22 - 2219/19713536*a^20 + 12705/19713536*a^18 - 13257/9856768*a^16 + 10861/4928384*a^14 - 1133/154012*a^12 - 5037/1232096*a^10 + 8413/308024*a^8 - 11491/308024*a^6 - 15191/154012*a^4 - 10591/77006*a^2 + 10893/38503, 1/40373321728*a^41 - 7487/10093330432*a^39 - 7545/10093330432*a^37 - 11609/5046665216*a^35 + 12115/2523332608*a^33 + 247/78854144*a^31 + 473/39427072*a^29 - 2463/78854144*a^27 + 3271/157708288*a^25 - 1295/39427072*a^23 - 2219/19713536*a^21 + 12705/19713536*a^19 - 13257/9856768*a^17 + 10861/4928384*a^15 - 1133/154012*a^13 - 5037/1232096*a^11 + 8413/308024*a^9 - 11491/308024*a^7 - 15191/154012*a^5 - 10591/77006*a^3 + 10893/38503*a, 1/82942646971370450752680255882097651647191413849849856*a^42 - 190427017626724063368374735989346701359275/41471323485685225376340127941048825823595706924924928*a^40 - 786263041018262723491903013753758681097995925/10367830871421306344085031985262206455898926731231232*a^38 - 3021604855640066456005666421892701219533034743/5183915435710653172042515992631103227949463365615616*a^36 + 4839410230371102624831550392114737591100166649/2591957717855326586021257996315551613974731682807808*a^34 - 4201109245464735669564270054376497698354553051/2591957717855326586021257996315551613974731682807808*a^32 + 6509596457002940563422887376183362827233688333/1295978858927663293010628998157775806987365841403904*a^30 - 14115369888379949737298339844354461890443385011/647989429463831646505314499078887903493682920701952*a^28 + 6362405713060001224166813557596832651604022103/161997357365957911626328624769721975873420730175488*a^26 + 2282591661158467103086857524797610055995998357/80998678682978955813164312384860987936710365087744*a^24 + 1011866770333132709080117347153082936581678729/80998678682978955813164312384860987936710365087744*a^22 - 12931447348997202512424621198798701576288144755/40499339341489477906582156192430493968355182543872*a^20 + 3176086187703292098891266666860749869761575059/5062417417686184738322769524053811746044397817984*a^18 - 13195457438765117428959233296641609764416909133/10124834835372369476645539048107623492088795635968*a^16 - 354851102227217888417715375986089734028109547/316401088605386546145173095253363234127774863624*a^14 - 6919763439996626467828935579443659919679065619/2531208708843092369161384762026905873022198908992*a^12 - 423412761248501722179481862957157107241987087/39550136075673318268146636906670404265971857953*a^10 + 16073345197087539024686008518179841593817771065/632802177210773092290346190506726468255549727248*a^8 - 8586853527812866040595966388217727893865367217/158200544302693273072586547626681617063887431812*a^6 - 14354073175149464966464365281147237239181017305/158200544302693273072586547626681617063887431812*a^4 - 8593052920207576287145858416148939981865913619/39550136075673318268146636906670404265971857953*a^2 + 18088117971194247705875516453344668155799592221/39550136075673318268146636906670404265971857953, 1/82942646971370450752680255882097651647191413849849856*a^43 - 190427017626724063368374735989346701359275/41471323485685225376340127941048825823595706924924928*a^41 - 786263041018262723491903013753758681097995925/10367830871421306344085031985262206455898926731231232*a^39 - 3021604855640066456005666421892701219533034743/5183915435710653172042515992631103227949463365615616*a^37 + 4839410230371102624831550392114737591100166649/2591957717855326586021257996315551613974731682807808*a^35 - 4201109245464735669564270054376497698354553051/2591957717855326586021257996315551613974731682807808*a^33 + 6509596457002940563422887376183362827233688333/1295978858927663293010628998157775806987365841403904*a^31 - 14115369888379949737298339844354461890443385011/647989429463831646505314499078887903493682920701952*a^29 + 6362405713060001224166813557596832651604022103/161997357365957911626328624769721975873420730175488*a^27 + 2282591661158467103086857524797610055995998357/80998678682978955813164312384860987936710365087744*a^25 + 1011866770333132709080117347153082936581678729/80998678682978955813164312384860987936710365087744*a^23 - 12931447348997202512424621198798701576288144755/40499339341489477906582156192430493968355182543872*a^21 + 3176086187703292098891266666860749869761575059/5062417417686184738322769524053811746044397817984*a^19 - 13195457438765117428959233296641609764416909133/10124834835372369476645539048107623492088795635968*a^17 - 354851102227217888417715375986089734028109547/316401088605386546145173095253363234127774863624*a^15 - 6919763439996626467828935579443659919679065619/2531208708843092369161384762026905873022198908992*a^13 - 423412761248501722179481862957157107241987087/39550136075673318268146636906670404265971857953*a^11 + 16073345197087539024686008518179841593817771065/632802177210773092290346190506726468255549727248*a^9 - 8586853527812866040595966388217727893865367217/158200544302693273072586547626681617063887431812*a^7 - 14354073175149464966464365281147237239181017305/158200544302693273072586547626681617063887431812*a^5 - 8593052920207576287145858416148939981865913619/39550136075673318268146636906670404265971857953*a^3 + 18088117971194247705875516453344668155799592221/39550136075673318268146636906670404265971857953*a], 1, 0,0,0,0,0, [[x^2 + 2, 1], [x^2 - 6, 1], [x^2 - x + 1, 1], [x^4 - 2*x^2 + 4, 1], [x^11 - x^10 - 10*x^9 + 9*x^8 + 36*x^7 - 28*x^6 - 56*x^5 + 35*x^4 + 35*x^3 - 15*x^2 - 6*x + 1, 1], [x^22 + 42*x^20 + 760*x^18 + 7752*x^16 + 48960*x^14 + 198016*x^12 + 512512*x^10 + 823680*x^8 + 768768*x^6 + 366080*x^4 + 67584*x^2 + 2048, 1], [x^22 - 2*x^21 - 85*x^20 + 158*x^19 + 3034*x^18 - 5168*x^17 - 59231*x^16 + 90766*x^15 + 691144*x^14 - 929756*x^13 - 4958124*x^12 + 5663424*x^11 + 21755176*x^10 - 20144336*x^9 - 56643133*x^8 + 39793946*x^7 + 82921103*x^6 - 40082434*x^5 - 62983979*x^4 + 17930170*x^3 + 21937542*x^2 - 2672256*x - 2672279, 1], [x^22 - x^21 + 11*x^20 - 8*x^19 + 73*x^18 - 46*x^17 + 301*x^16 - 145*x^15 + 883*x^14 - 355*x^13 + 1776*x^12 - 498*x^11 + 2527*x^10 - 574*x^9 + 2324*x^8 - 251*x^7 + 1358*x^6 - 161*x^5 + 400*x^4 + 20*x^3 + 51*x^2 - 6*x + 1, 1]]]