Group GAP4(112,2)

Name: C112
Maximal quotients:GAP4(16,1) GAP4(56,2)
Real polynomial:
x^112-x^111-112*x^110+112*x^109+6103*x^108-6103*x^107-215603*x^106+215603*x^\
105+5551804*x^104-5551804*x^103-111077982*x^102+111077982*x^101+1797508516*x\
^100-1797508516*x^99-24181903384*x^98+24181903384*x^97+275880304061*x^96-275\
880304061*x^95-2709353964879*x^94+2709353964879*x^93+23172337318261*x^92-231\
72337318261*x^91-174192859311459*x^90+174192859311459*x^89+1159487801082441*\
x^88-1159487801082441*x^87-6875425223690655*x^86+6875425223690655*x^85+36499\
191840777097*x^84-36499191840777097*x^83-174177519615209127*x^82+17417751961\
5209127*x^81+749705017865101595*x^80-749705017865101595*x^79-291865211624789\
6860*x^78+2918652116247896860*x^77+10300304995099644941*x^76-103003049950996\
44941*x^75-33012873625060385641*x^74+33012873625060385641*x^73+9622806258025\
5834644*x^72-96228062580255834644*x^71-255371502996939845386*x^70+2553715029\
96939845386*x^69+617480565394000479164*x^68-617480565394000479164*x^67-13609\
84122958797589816*x^66+1360984122958797589816*x^65+2734882380737865828269*x^\
64-2734882380737865828269*x^63-5010028826252188635019*x^62+50100288262521886\
35019*x^61+8363809889266446525725*x^60-8363809889266446525725*x^59-127164010\
05995484864595*x^58+12716401005995484864595*x^57+17593045079544989596613*x^5\
6-17593045079544989596613*x^55-22122780825645976938763*x^54+2212278082564597\
6938763*x^53+25249107904642043386565*x^52-25249107904642043386565*x^51-26110\
815518124984157339*x^50+26110815518124984157339*x^49+24416886923254614699511\
*x^48-24416886923254614699511*x^47-20598702524519937009319*x^46+205987025245\
19937009319*x^45+15634992332549527173291*x^44-15634992332549527173291*x^43-1\
0644390750599754541569*x^42+10644390750599754541569*x^41+6477025500542959302\
961*x^40-6477025500542959302961*x^39-3508437746922919326139*x^38+35084377469\
22919326139*x^37+1684003141759337560993*x^36-1684003141759337560993*x^35-712\
508037632473309991*x^34+712508037632473309991*x^33+264152340270353723047*x^3\
2-264152340270353723047*x^31-85222103857486841617*x^30+85222103857486841617*\
x^29+23737732842342710743*x^28-23737732842342710743*x^27-5656083569704331289\
*x^26+5656083569704331289*x^25+1140510343753186335*x^24-1140510343753186335*\
x^23-192155129473777905*x^22+192155129473777905*x^21+26640694488858015*x^20-\
26640694488858015*x^19-2983498310725185*x^18+2983498310725185*x^17+263768976\
921435*x^16-263768976921435*x^15-17881757211180*x^14+17881757211180*x^13+894\
958397661*x^12-894958397661*x^11-31407078297*x^10+31407078297*x^9+717827868*\
x^8-717827868*x^7-9528498*x^6+9528498*x^5+60004*x^4-60004*x^3-112*x^2+112*x+\
1
Common denominator of the automorphisms:
1
Complex polynomial:
x^112+x^111+x^110+x^109+x^108+x^107+x^106+x^105+x^104+x^103+x^102+x^101+x^10\
0+x^99+x^98+x^97+x^96+x^95+x^94+x^93+x^92+x^91+x^90+x^89+x^88+x^87+x^86+x^85\
+x^84+x^83+x^82+x^81+x^80+x^79+x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^71+x^70+\
x^69+x^68+x^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^55+x\
^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^40+x^\
39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25+x^2\
4+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+\
x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1
Common denominator of the automorphisms:
1

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