Group GAP4(68,2)

Name: C68
Maximal quotients:GAP4(4,1) GAP4(34,2)
Real polynomial:
x^68+x^67-67*x^66-66*x^65+2145*x^64+2080*x^63-43680*x^62-41664*x^61+635376*x\
^60+595665*x^59-7028847*x^58-6471002*x^57+61474519*x^56+55525372*x^55-436270\
780*x^54-386206920*x^53+2558620845*x^52+2217471399*x^51-12565671261*x^50-106\
48873950*x^49+52179482355*x^48+43183019880*x^47-184509266760*x^46-1489022152\
80*x^45+558383307300*x^44+438729741450*x^43-1451182990950*x^42-1108176102180\
*x^41+3245372870670*x^40+2403979904200*x^39-6250347750920*x^38-4481381406320\
*x^37+10363194502115*x^36+7174519270695*x^35-14771069086725*x^34-98473793911\
50*x^33+18053528883775*x^32+11554258485616*x^31-18851684897584*x^30-11541847\
896480*x^29+16735679449896*x^28+9762479679106*x^27-12551759587422*x^26-69435\
26580276*x^25+7890371113950*x^24+4116715363800*x^23-4116715363800*x^22-20126\
16400080*x^21+1761039350070*x^20+800472431850*x^19-608359048206*x^18-2546619\
27156*x^17+166509721602*x^16+63432274896*x^15-35240152720*x^14-12033222880*x\
^13+5586853480*x^12+1676056044*x^11-635745396*x^10-163011640*x^9+48903492*x^\
8+10295472*x^7-2324784*x^6-376992*x^5+58905*x^4+6545*x^3-595*x^2-34*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^68+137*x^66+8768*x^64+348665*x^62+9666309*x^60+198736995*x^58+3147060839*x\
^56+39355163205*x^54+395416657986*x^52+3230946801689*x^50+21653520987914*x^4\
8+119726633686085*x^46+548209567031320*x^44+2082955683819949*x^42+6571045332\
124809*x^40+17198015492884549*x^38+37268445206330295*x^36+66654149058213581*\
x^34+97950672075865519*x^32+117596522105555248*x^30+114523211111051177*x^28+\
89685868817446843*x^26+55885290035107860*x^24+27354559943893813*x^22+1035288\
4069054581*x^20+2970743674442293*x^18+630568250208462*x^16+95974529443843*x^\
14+10073780760499*x^12+694995410126*x^10+29787788755*x^8+746387234*x^6+10047\
306*x^4+62609*x^2+137
Common denominator of the automorphisms:
2161063065321073575522073450457840378813090370922994213580657302658637226567\
9588462238363578146754729092764782481131982712460989003589228128499267

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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