Group GAP4(58,1)

Name: D58
Maximal quotient:GAP4(2,1)
Real polynomial:
x^58-570*x^56+143997*x^54-21552414*x^52+2151595488*x^50-152716634733*x^48+80\
13637855419*x^46-318884179195257*x^44+9787549819859079*x^42-2343429413657334\
74*x^40+4408327931062342167*x^38-65416386306497391726*x^36+76695672318539797\
9149*x^34-7101813430826810723712*x^32+51842575326324668658384*x^30-297501153\
305849372148405*x^28+1337512612736923127132046*x^26-469406368765462510288311\
9*x^24+12812490840481969082400955*x^22-27086714198911976440803702*x^20+44113\
694819846105896432506*x^18-54911623634743864869251289*x^16+51626472401989517\
555687346*x^14-36014404563782437611806343*x^12+18157642894276061024874888*x^\
10-6365706568266133161009513*x^8+1465843953169596272252040*x^6-2034676994383\
88431402131*x^4+14784406801655766957963*x^2-406988226439228827801
Common denominator of the automorphisms:
2276697556113104729637442091241517437249830457841820555089098165141280301842\
9794133245685183855165080495833123738105405554083811724700380952134048032346\
0777753564777906638232097162810614542512828505975966204967476262508411865242\
635267398334573929678595794081047672402
Complex polynomial:
x^58-22*x^57+221*x^56-1310*x^55+4900*x^54-11219*x^53+13493*x^52-12864*x^51+1\
02821*x^50-501429*x^49+907389*x^48+640005*x^47-419001*x^46-63976502*x^45+495\
760363*x^44-2235043617*x^43+7321356229*x^42-18515882128*x^41+35796757943*x^4\
0-46239485317*x^39+5177710408*x^38+185824882177*x^37-682490108721*x^36+16405\
04559358*x^35-3045008109646*x^34+4399384668811*x^33-4324834293974*x^32+24395\
4092231*x^31+11576101553668*x^30-35361811588006*x^29+74503344269528*x^28-129\
874599896250*x^27+198467185128181*x^26-273078604020156*x^25+343459731177087*\
x^24-398692549897134*x^23+429979733345499*x^22-432833001338494*x^21+40794637\
2692883*x^20-360619875965207*x^19+299119784152098*x^18-232606985176040*x^17+\
169234685481736*x^16-114832040178002*x^15+72363059578788*x^14-42132604491117\
*x^13+22529506968463*x^12-10987853943352*x^11+4849130830588*x^10-19188287389\
60*x^9+673542816905*x^8-207026970319*x^7+54830524886*x^6-12254644962*x^5+224\
6918632*x^4-324460878*x^3+34597924*x^2-2422109*x+83521
Common denominator of the automorphisms:
183634249000171925312164257580938432756875

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