Group GAP4(61,1)

Name: C61
Maximal quotient:GAP4(1,1)
Real polynomial:
x^61+x^60-180*x^59-413*x^58+14645*x^57+52673*x^56-688601*x^55-3528285*x^54+1\
9601342*x^53+147066683*x^52-294411763*x^51-4094132898*x^50-515253399*x^49+77\
730183943*x^48+136127326190*x^47-976171853534*x^46-3440181895427*x^45+682070\
0430038*x^44+49495243759604*x^43+5003873089663*x^42-454773118963937*x^41-708\
332454647506*x^40+2503079468369386*x^39+8524707843825128*x^38-43535068739163\
76*x^37-55965866407852931*x^36-50586504885325349*x^35+208588686855790630*x^3\
4+488766704388771586*x^33-248616968576483612*x^32-2111939395471861259*x^31-1\
621839831538649260*x^30+4656502567948889185*x^29+9658116194858556310*x^28-14\
97012549402345042*x^27-23738135773030440428*x^26-20637249171326524602*x^25+2\
4569280463351126387*x^24+57740462789299170679*x^23+14579305016676768566*x^22\
-65771381500668227611*x^21-72094504453297506055*x^20+13570829828275968614*x^\
19+78797457647783506537*x^18+45464576927398898131*x^17-26397733136489030972*\
x^16-45803590606881784425*x^15-13479501565046232768*x^14+1346301375524337486\
7*x^13+12223486303700829006*x^12+1531995617799024854*x^11-247970098532638527\
9*x^10-1203853517042779781*x^9+45547818199089944*x^8+173724631575165523*x^7+\
33343190173223859*x^6-8176066599449700*x^5-3216273109307699*x^4+787254613563\
*x^3+91700724228752*x^2+3245424268762*x-934868803397
Common denominator of the automorphisms:
2249997905020161148462921301104448027045020470971502363333624518663486860523\
1114863362354625033938485295855938332205102373234031066269855530640215971703\
6715024657908799790389329345552944078627840472106368236730081505243312238905\
9176637851103852291656041198050855343058026033282649550193257473461359

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