Group GAP4(76,4)

Name: C38 x C2
Maximal quotients:GAP4(4,2) GAP4(38,2)
Real polynomial:
x^76-840*x^74+327512*x^72-78958128*x^70+13229144272*x^68-1641405617216*x^66+\
156923945577280*x^64-11875352012125184*x^62+725180095257192960*x^60-36246515\
283703749632*x^58+1498893094936346787840*x^56-51702487710133987966976*x^54+1\
496887959676464802873344*x^52-36544635155840129226539008*x^50+75485953501328\
7134228840448*x^48-13221355882569736462023852032*x^46+1965928092617233532483\
89595136*x^44-2482207868555195040438919888896*x^42+2659368343036564741795762\
0645888*x^40-241363233387814922230024317698048*x^38+185086918438693800745174\
3462359040*x^36-11948245128663335539853101973372928*x^34+6462263830048894897\
3110307984506880*x^32-291083145973915037354253651946766336*x^30+108397133052\
3039607648338084559323136*x^28-3307939169354706226190501946639515648*x^26+81\
86329476964802573661784249609486336*x^24-16227910601053375993622214647994122\
240*x^22+25398387844068325278266435128472371200*x^20-30855300454374210822917\
918101950431232*x^18+28506876342148485996159611515808251904*x^16-19523612145\
577708514789483772599336960*x^14+9581887775952180320982797392237559808*x^12-\
3211345431061218666661876376400822272*x^10+682162594292400699861138999978491\
904*x^8-80889177964865071273936795532787712*x^6+4238196941803252610830953156\
182016*x^4-82322822887014795890490630733824*x^2+3122315857351757796181949808\
64
Common denominator of the automorphisms:
1205984788194437062937568278689617629952502769563989622377897304668669721649\
7876591914870835412446861463472764552691792089506794078247679735147931249569\
3809611289483482955976766062000724936061965074109882651495337939995510997719\
3587649704396174031964942760935424
Complex polynomial:
x^76+5157*x^72+9629838*x^68+8206957333*x^64+3502588584830*x^60+8000925605450\
16*x^56+104232413003102238*x^52+8045739245141514128*x^48+3733941420414500892\
37*x^44+10424038722464147089092*x^40+175025247840264955737806*x^36+179264722\
8897839973252899*x^32+11237809036564175087216694*x^28+4222951810996897200461\
4985*x^24+90164777843237343722300182*x^20+100041138640642609355607463*x^16+5\
3053312805265801356112274*x^12+11532056771050786116402830*x^8+53692185790911\
4980344077*x^4+1212370540109614081
Common denominator of the automorphisms:
1841817074372786258238084846683125134910431041374158439208629177795138584269\
0110861472677992689041472723734662229703389051608281352026073290508447626876\
4627309184614624642247214701335396779514767490053869629878279520721336574513\
87

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.