Group GAP4(96,100)

Name: (C2 x C4 x S3) : C2
Maximal quotients:GAP4(32,25) GAP4(48,35) GAP4(48,38) GAP4(48,41)
Real polynomial:

x^96-672*x^94+214056*x^92-43070944*x^90+6155042292*x^88-665889639840*x^86+56\
767680491928*x^84-3919264164538848*x^82+223499815952954274*x^80-106840315487\
69534304*x^78+433028011265464942392*x^76-15013826355255389913120*x^74+448472\
013925179910348388*x^72-11606607383067559458520416*x^70+26143792127629991820\
9409032*x^68-5143906186465452172371216672*x^66+88657002742240497137558482767\
*x^64-1341461979888189825869297286720*x^62+17848039276625386667874789581072*\
x^60-209040152005509202218644540899008*x^58+21566254630915904343417975483463\
44*x^56-19602746337835346666067638003398720*x^54+156952987719719891015458088\
247847536*x^52-1106300881803691248248693635737561792*x^50+685799773061244807\
8581608844391537244*x^48-37336905000624209640066946111527916224*x^46+1782028\
25935134083280164909195757591024*x^44-74397393810616230751765607286092092832\
0*x^42+2709566805164400826168695375893468984424*x^40-85813715441755427934069\
19419427432287936*x^38+23545354927579801693126437328486140383888*x^36-557256\
40139220370606907044785399395472960*x^34+11319091149544583716810157213452241\
1921327*x^32-196168143956932040966928456231301158399264*x^30+288102178257384\
203322269133202444833206088*x^28-355723646258025714292899642021019214407008*\
x^26+365824712489202441283286646004464231452708*x^24-30990386231718748643180\
5754311737983131680*x^22+213415715961564544603613453142717027257208*x^20-117\
568024035109051039627453540246933929312*x^18+5078996561158727414776658759061\
5808903714*x^16-16778240490488849422376804374639441346016*x^14+4100690788374\
460059247684110764454040152*x^12-708647746003868812904664467684457893280*x^1\
0+81034660438927701204036510701499779892*x^8-5525097635968737625241865059125\
235168*x^6+190580096656546207297667802527098344*x^4-300175469710029598487088\
2679574176*x^2+16624706248049840481994239594721

Common denominator of the automorphisms:

9777013068838832783600503902861932151498756908601481067306707941048586126608\
0760755855120053096020652330979544459152586502560692612514873239324368903252\
50143254641947514324595492371668158712997399143001125376949813143142400

Complex polynomial:

x^96+560*x^84+254272*x^72+43060864*x^60+929004672*x^48+15997488128*x^36+4887\
8276608*x^24+38224764928*x^12+4096

Common denominator of the automorphisms:

85761911715180363302941469835264

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.