Group GAP4(96,50)

Name: C3 x ((C8 : C2) : C2)
Maximal quotients:GAP4(32,7) GAP4(48,21)
Real polynomial:
x^96-384*x^94+68736*x^92-7630336*x^90+589738240*x^88-33785616384*x^86+149196\
9964032*x^84-52163570188288*x^82+1472418951064480*x^80-34060848583986176*x^7\
8+653483023878397440*x^76-10501528508717015040*x^74+142537196902059129856*x^\
72-1645751816929073414144*x^70+16264614819569972953088*x^68-1383218270022159\
58839296*x^66+1016978803771519586936064*x^64-6489719752374200769323008*x^62+\
36064937946735602269323264*x^60-175022029830006742537273344*x^58+74338820017\
0353097711599616*x^56-2768187425585783759019704320*x^54+90480579944732731776\
46563328*x^52-25977941289666814563743432704*x^50+655300889644390704346113024\
00*x^48-145193364347755571866004881408*x^46+282349459130658835477557411840*x\
^44-481279234839710303729650499584*x^42+717745701456113771466524721152*x^40-\
934196994133213474068648427520*x^38+1057894934877469978594386116608*x^36-103\
8243318081294536397822099456*x^34+878922718713628213232783065088*x^32-638117\
471834902287745820917760*x^30+394571149775432995630246526976*x^28-2060405092\
44907975963358265344*x^26+89927292601198661265768054784*x^24-323882656197489\
57525739831296*x^22+9472466709474754415590113280*x^20-2203786617265810799568\
355328*x^18+396949290798918557858004992*x^16-53357277114009022489427968*x^14\
+5083568826571718645514240*x^12-318805201286803822215168*x^10+11869478018075\
605336064*x^8-234764301082545881088*x^6+2112966679469228032*x^4-580542139465\
7280*x^2+4398046511104
Common denominator of the automorphisms:
1627749618900926377273800891689838680030486387552503744534058738961108747229\
4590259289022679979942811822612245548472050675840144613898169017468614792857\
6168688699153427304271587657479959513352335987369161085248219138467084267727\
9881782784003183625979553274414453190512696474606764518868655968301403480999\
52639780543275431490721153024
Complex polynomial:
x^96-7488*x^88+24851124*x^80-5359035168*x^72+500172637230*x^64+8231053736160\
*x^56+57643339066758*x^48-63375114917664*x^40+26114328901197*x^32+2509374269\
6064*x^24+8558042074506*x^16+28927396512*x^8+43046721
Common denominator of the automorphisms:
489926427457984177897561303961510061133386959760

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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