Group GAP4(80,3)

Name: C5 : C16
Maximal quotients:GAP4(16,1) GAP4(40,3)
Real polynomial:
x^80-544*x^78+124112*x^76-15937088*x^74+1304357760*x^72-72929338848*x^70+291\
2977768096*x^68-85823132631296*x^66+1912030942001576*x^64-32870063111525952*\
x^62+443429492642886112*x^60-4760415345730980736*x^58+41142237984784751360*x\
^56-288982884915272774720*x^54+1662396300159160047936*x^52-78803125443865361\
48480*x^50+30931033584928740155288*x^48-100899583154240202879360*x^46+274281\
237870074135493824*x^44-622427422193986390862592*x^42+1180234135039486401866\
240*x^40-1870095251580562825250432*x^38+2474094105196571002880384*x^36-27279\
95375469809054968832*x^34+2499704292522726472918688*x^32-1895595005474444380\
280576*x^30+1182937049244965784359552*x^28-602980418824746419141120*x^26+248\
640123988888675052544*x^24-81910682270659991390976*x^22+21211978874966432383\
744*x^20-4227551308940544190464*x^18+630366114931926700048*x^16-676502469396\
84657152*x^14+4943253715661558784*x^12-225735704416403456*x^10+5540219581190\
144*x^8-53612928761856*x^6+206379024384*x^4-290455552*x^2+131072
Common denominator of the automorphisms:
1057466506194897441707878767965248255950922358910991665684669798726952451741\
7341993513990449708811544574708829118168957791734001422825561927283620637436\
3291404738944974786145148480070862170037755531931617961457938509144067076012\
6273735699749249825569986895533373763499586351379124783265396101787042379184\
11791383109896513991058764048790960988877504828403351552
Complex polynomial:
x^80+544*x^78+124112*x^76+15937088*x^74+1304357760*x^72+72929338848*x^70+291\
2977768096*x^68+85823132631296*x^66+1912030942001576*x^64+32870063111525952*\
x^62+443429492642886112*x^60+4760415345730980736*x^58+41142237984784751360*x\
^56+288982884915272774720*x^54+1662396300159160047936*x^52+78803125443865361\
48480*x^50+30931033584928740155288*x^48+100899583154240202879360*x^46+274281\
237870074135493824*x^44+622427422193986390862592*x^42+1180234135039486401866\
240*x^40+1870095251580562825250432*x^38+2474094105196571002880384*x^36+27279\
95375469809054968832*x^34+2499704292522726472918688*x^32+1895595005474444380\
280576*x^30+1182937049244965784359552*x^28+602980418824746419141120*x^26+248\
640123988888675052544*x^24+81910682270659991390976*x^22+21211978874966432383\
744*x^20+4227551308940544190464*x^18+630366114931926700048*x^16+676502469396\
84657152*x^14+4943253715661558784*x^12+225735704416403456*x^10+5540219581190\
144*x^8+53612928761856*x^6+206379024384*x^4+290455552*x^2+131072
Common denominator of the automorphisms:
1057466506194897441707878767965248255950922358910991665684669798726952451741\
7341993513990449708811544574708829118168957791734001422825561927283620637436\
3291404738944974786145148480070862170037755531931617961457938509144067076012\
6273735699749249825569986895533373763499586351379124783265396101787042379184\
11791383109896513991058764048790960988877504828403351552

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.