Group GAP4(140,11)

Name: C70 x C2
Maximal quotients:GAP4(20,5) GAP4(28,4) GAP4(70,4)
Real polynomial:
x^140-140*x^138+9589*x^136-428264*x^134+14025782*x^132-359149208*x^130+74869\
41473*x^128-130636564608*x^126+1946789776976*x^124-25159879738048*x^122+2853\
79756525104*x^120-2868238582168192*x^118+25743582322662816*x^116-20767425531\
7411968*x^114+1513900006275287439*x^112-10018173423058902672*x^110+604138226\
73473972881*x^108-333100605260066369964*x^106+1683975699880699443105*x^104-7\
824803847462076593960*x^102+33488422718296285067646*x^100-132243929579935157\
101560*x^98+482590047152108662935075*x^96-1629530383372681525673760*x^94+509\
6786534248040029895580*x^92-14779697736729331815842064*x^90+3976295969277049\
6919642580*x^88-99305663507050173959789536*x^86+230315552254595761312788056*\
x^84-496175574604073219055413728*x^82+993022709951877900877226462*x^80-18462\
28097254303384400343392*x^78+3188216711297908588159061147*x^76-5112396566915\
979107779805444*x^74+7609174987142235362696976287*x^72-105063752031528039634\
55736056*x^70+13448673887997156278906035298*x^68-159465851304361510494205061\
84*x^66+17498772634293991472654842847*x^64-17751131609744951936870353856*x^6\
2+16625840989686172951001919608*x^60-14357226525603245151166075424*x^58+1141\
3055545844365013911062920*x^56-8337042166908903910514746304*x^54+55853108508\
94787849211130352*x^52-3424198233753940637941694144*x^50+1916427461174502176\
117791118*x^48-976510951172124305637405344*x^46+451661034416315717661683102*\
x^44-188996052539843473805126696*x^42+71283087450035341100857166*x^40-241332\
17803265189627747504*x^38+7300028627914911354325604*x^36-1962683620496248649\
713808*x^34+466268597427294348623714*x^32-97225691395569344364608*x^30+17659\
244941452004227416*x^28-2769486613969862107040*x^26+371230021575186735176*x^\
24-42026808429102150848*x^22+3961981123883207024*x^20-305790083284876992*x^1\
8+18925052341433636*x^16-915134816193088*x^14+33443805068649*x^12-8837875883\
32*x^10+15882658221*x^8-177211944*x^6+1057350*x^4-2520*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^140-x^139+x^137-x^136+x^134-x^133+x^131-x^130+x^128-x^127+x^125-x^124+x^12\
2-x^121+x^119-x^118+x^116-x^115+x^113-x^112+x^110-x^109+x^107-x^106+x^104-x^\
103+x^101-x^100+x^98-x^97+x^95-x^94+x^92-x^91+x^89-x^88+x^86-x^85+x^83-x^82+\
x^80-x^79+x^77-x^76+x^74-x^73+x^71-x^70+x^69-x^67+x^66-x^64+x^63-x^61+x^60-x\
^58+x^57-x^55+x^54-x^52+x^51-x^49+x^48-x^46+x^45-x^43+x^42-x^40+x^39-x^37+x^\
36-x^34+x^33-x^31+x^30-x^28+x^27-x^25+x^24-x^22+x^21-x^19+x^18-x^16+x^15-x^1\
3+x^12-x^10+x^9-x^7+x^6-x^4+x^3-x+1
Common denominator of the automorphisms:
1

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