Group GAP4(72,23)

Name: (C6 x S3) : C2
Maximal quotients:GAP4(24,6) GAP4(24,8) GAP4(36,10)
Real polynomial:

x^72-348*x^70+56394*x^68-5669268*x^66+397324449*x^64-20680374816*x^62+831478\
761648*x^60-26517296727648*x^58+683490851227476*x^56-14434339403060496*x^54+\
252300784503101976*x^52-3677588972462775600*x^50+44949567765851985348*x^48-4\
62489308827510030560*x^46+4016090641533437975760*x^44-2947360477911407321155\
2*x^42+182864429465563863431118*x^40-958489528323186133601832*x^38+423703196\
9828529245285436*x^36-15752316636859933215723384*x^34+4905954918692306388680\
8446*x^32-127325785517575688945507040*x^30+273509663235573058518238416*x^28-\
482104594055526890308954272*x^26+689746851334671770632938660*x^24-7900713930\
72095411021785872*x^22+712189222815349019320693272*x^20-49443931782620187861\
8515248*x^18+257396019543781566583869684*x^16-97276547752837486155037728*x^1\
4+25715704634116629265961136*x^12-4569510309552117804057696*x^10+52168839997\
2155386054713*x^8-35957835588089104539228*x^6+1341627954587234381898*x^4-211\
58407513592886420*x^2+49585920562755369

Common denominator of the automorphisms:

6574261532630602710462258001822270547082912138508524161015202651378965180854\
646202382280340928147155031727013888

Complex polynomial:

x^72+48*x^66+7752*x^60-133232*x^54+1865016*x^48-8011008*x^42+12441696*x^36+3\
02094144*x^30+520890768*x^24+94240768*x^18+6882816*x^12+196608*x^6+4096

Common denominator of the automorphisms:

679463865787573416331451400192

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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