Group GAP4(84,10)

Name: C7 x A4
Maximal quotients:GAP4(12,3) GAP4(21,2)
Real polynomial:
x^84-575*x^82+137831*x^80-18531320*x^78+1589796471*x^76-93516762564*x^74+394\
4740943485*x^72-122944945248847*x^70+2891240084424103*x^68-52102289987526207\
*x^66+728137546949233401*x^64-7967452981023045529*x^62+68803579381433362491*\
x^60-472009716940109616024*x^58+2586530757382915308144*x^56-1137277178699919\
9338497*x^54+40270254430039651878895*x^52-115172561486598671443675*x^50+2666\
76976899879168877808*x^48-500861445653845965135520*x^46+76418494592212812689\
8983*x^44-948227229978932770037137*x^42+957513829600239116686567*x^40-786918\
758891802928319928*x^38+525996389459539517283526*x^36-2855179170584222619675\
61*x^34+125533207892087872583744*x^32-44536588963126379466170*x^30+126846382\
55468079491373*x^28-2880965298983714856162*x^26+517371488705164700990*x^24-7\
2680230097230189272*x^22+7879752715001867451*x^20-648126757368273611*x^18+39\
573486697581320*x^16-1744868741361028*x^14+53689730075785*x^12-1107781456909\
*x^10+14685029956*x^8-118780333*x^6+542519*x^4-1219*x^2+1
Common denominator of the automorphisms:
2589138600210513991888092436145078796951713755208681233735769918310343346936\
6825948886032489972477795010198528438276447150372757651390368597607168110968\
3069114891481655017740544433127440924899105821479257295667745416910718140512\
310095599721347376709586970
Complex polynomial:
x^84-4*x^83+58*x^82-296*x^81+2199*x^80-4316*x^79+67830*x^78-6980*x^77+360866\
1*x^76-5506716*x^75+96409370*x^74-170460396*x^73+1593517838*x^72-2760151888*\
x^71+21411576006*x^70-41399762820*x^69+280640465090*x^68-640912510808*x^67+3\
329771260166*x^66-8103835150272*x^65+34342567016187*x^64-78685313158276*x^63\
+297070674838576*x^62-639226486642428*x^61+2086759140147788*x^60-43109608697\
76152*x^59+11727583434981130*x^58-21994711115226088*x^57+53494771681387202*x\
^56-84348605077415584*x^55+192798957593940462*x^54-261306332003321680*x^53+5\
60797738842964231*x^52-669570879164313180*x^51+1373967379484744422*x^50-1359\
771872517149076*x^49+2884132008311480412*x^48-2171978901503853352*x^47+52742\
52385657518844*x^46-2957527699688427052*x^45+9208179731803181062*x^44-374428\
7951481428436*x^43+14983432742371895930*x^42-3505153128589111720*x^41+191851\
10435285120872*x^40+19457480843959996*x^39+17505428628872291532*x^38+4577208\
216102301052*x^37+13812166447754996626*x^36+5612683698259979716*x^35+1073156\
2204004832604*x^34+3077081730281474252*x^33+6222013933228916764*x^32+1561064\
338341446624*x^31+2611176370444659058*x^30+1019978535971753456*x^29+10903210\
95813366071*x^28+688876884298192296*x^27+502841544856842922*x^26+25056026743\
3802840*x^25+148678431062502240*x^24+62750769546356488*x^23+3437616809267710\
2*x^22+15956085000194384*x^21+8593398785114602*x^20+4588186326581060*x^19+22\
83609023227330*x^18+972569257877836*x^17+387701825672039*x^16+13342486226998\
0*x^15+40485971123884*x^14+10694475237192*x^13+2516960553211*x^12+5132077275\
44*x^11+92114282004*x^10+14528909304*x^9+2023774765*x^8+244024424*x^7+259370\
04*x^6+2442732*x^5+196991*x^4+13016*x^3+754*x^2+36*x+1
Common denominator of the automorphisms:
1477279669896736229083018099610723321727043806696858837902853389752627792907\
5875585853892064843341398896778176475440172857287511369155760982786944156762\
5500267785996267369284800833678564812141298285379717975618256595938034812152\
9029110411392925619941727197562884116246166320879135883415577036059992009153\
6552850030378966201169039155053129821683624126612521510309351535067093176282\
951542816372

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.