Group GAP4(56,10)
Name: C7 x Q8
Maximal quotients:GAP4(8,4) GAP4(28,4)
Real polynomial:
x^56-348*x^54+51156*x^52-4276224*x^50+229895325*x^48-8507041308*x^46+2261310\
98436*x^44-4444271515332*x^42+65898723631194*x^40-747911266805376*x^38+65643\
61437726552*x^36-44879403863764908*x^34+240172285041078507*x^32-100898431967\
7418104*x^30+3331670245876989072*x^28-8643651830850317184*x^26+1758461524156\
7299674*x^24-27948469268500459596*x^22+34508157062031785988*x^20-32841505485\
264309804*x^18+23843789938531054710*x^16-13032114934763286828*x^14+527183800\
4165818032*x^12-1543567563868389444*x^10+317161824617598669*x^8-436845553296\
58620*x^6+3748256631796212*x^4-175910961059028*x^2+3382903097289
Common denominator of the automorphisms:
2396978266491139349598824662230200377930885812096487058753137333750453837971
Complex polynomial:
x^56+348*x^54+51156*x^52+4276224*x^50+229895325*x^48+8507041308*x^46+2261310\
98436*x^44+4444271515332*x^42+65898723631194*x^40+747911266805376*x^38+65643\
61437726552*x^36+44879403863764908*x^34+240172285041078507*x^32+100898431967\
7418104*x^30+3331670245876989072*x^28+8643651830850317184*x^26+1758461524156\
7299674*x^24+27948469268500459596*x^22+34508157062031785988*x^20+32841505485\
264309804*x^18+23843789938531054710*x^16+13032114934763286828*x^14+527183800\
4165818032*x^12+1543567563868389444*x^10+317161824617598669*x^8+436845553296\
58620*x^6+3748256631796212*x^4+175910961059028*x^2+3382903097289
Common denominator of the automorphisms:
2396978266491139349598824662230200377930885812096487058753137333750453837971
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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