Group GAP4(67,1)

Name: C67
Maximal quotient:GAP4(1,1)
Real polynomial:
x^67+x^66-132*x^65-127*x^64+8128*x^63+7514*x^62-310489*x^61-275412*x^60+8255\
097*x^59+7015522*x^58-162469429*x^57-132074732*x^56+2457934103*x^55+19080540\
27*x^54-29302580527*x^53-21682477578*x^52+280016358684*x^51+197116015784*x^5\
0-2170586468374*x^49-1450574505983*x^48+13762204743256*x^47+8711498507598*x^\
46-71769908578626*x^45-42926578989207*x^44+308917467707281*x^43+174121538109\
300*x^42-1099328139842573*x^41-582252857213765*x^40+3235005088514751*x^39+16\
05012951198723*x^38-7862532891652511*x^37-3641973093600359*x^36+157432475974\
94598*x^35+6784769007620029*x^34-25870357696878572*x^33-10338065796135117*x^\
32+34707160257704653*x^31+12822873516191615*x^30-37759031607934407*x^29-1287\
4525720258242*x^28+33032386678911041*x^27+10396393258198832*x^26-22995232909\
296191*x^25-6702394382020432*x^24+12575711941082825*x^23+3418837407991456*x^\
22-5318199438079755*x^21-1363375197739315*x^20+1705561117819514*x^19+4176335\
43753729*x^18-404848315593940*x^17-95674661443562*x^16+68987247039926*x^15+1\
5749316188706*x^14-8123019166449*x^13-1758233811824*x^12+632045599194*x^11+1\
22538815988*x^10-31180078280*x^9-4726423766*x^8+955488656*x^7+84545195*x^6-1\
6930746*x^5-385257*x^4+133369*x^3-3611*x^2-84*x+1
Common denominator of the automorphisms:
5043979122251377215289849610026657239057543173635001851463176803103722850234\
8126210036987149794738300804402522155437924642704888221175106847841717783151\
4670911649045522536605498389814900921268233819908251265753112464067674306316\
5955679488118261978352584792750634493881329299282526364707884694626757278810\
257596611387143419356151872289393251531

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