Group GAP4(96,7)

Name: C48 : C2
Maximal quotients:GAP4(32,19) GAP4(48,7)
Real polynomial:
x^96-1008*x^94+480360*x^92-144296144*x^90+30731844180*x^88-4948054419312*x^8\
6+627035638451224*x^84-64284808803987408*x^82+5438706930979492674*x^80-38539\
0589971228548112*x^78+23135518228107079316088*x^76-1187155067027186019073584\
*x^74+52439160941013714614676356*x^72-2005251158101018368611109648*x^70+6667\
9582284953168382385355016*x^68-1934934878489833119958385130160*x^66+49134339\
069792279052619128281135*x^64-1094083677191779259600082554910048*x^62+213946\
19740764298327090706710185360*x^60-367752205792827299924703666814457376*x^58\
+5558978786343651715562413537673618856*x^56-73894599308974586704815757049148\
811872*x^54+863378975796318090274649245864739458416*x^52-8858542989672351060\
530194920800570815008*x^50+79708412967638253673277553757464141723804*x^48-62\
7828608149312234718664369429937841846304*x^46+431903056300940381280351156022\
2211852791408*x^44-25878735283592896292332952727199922771630176*x^42+1346148\
06606233430057361991984780077248193704*x^40-60559091351504558820326470704884\
7770197924896*x^38+2345787056283300109952758195450783301736112784*x^36-77843\
69936978601840140810154880290087482807136*x^34+22002496140217836585526496268\
938751163348126575*x^32-52621921649688387001387436474005464480837589936*x^30\
+105689979755647836809017256788806891371752323720*x^28-176736745644754708632\
426679796497698017627912208*x^26+2436350429453489720705037355610419617324899\
45092*x^24-273707426856334163789140786266015808685677643568*x^22+24724345978\
2098042468994443239389566295861123576*x^20-176716572836927860180313572534976\
989153011628304*x^18+97987456270292143700848145973468851226550261314*x^16-41\
100356569920429967928927177488116178596517584*x^14+1260642882038174900049406\
3103124335640347806360*x^12-2694797096722849984247059270145285132152836720*x\
^10+373345546270571358774674688023382775147685844*x^8-2982032814401960027447\
3789143906740328071120*x^6+1126085775837427154654097683597491015774440*x^4-1\
4218210036434582123738846575065752147696*x^2+1825362071223830936849803554213\
5325249
Common denominator of the automorphisms:
8567541047195895379460098250852093192902508467309175377306518756816501736197\
3276433428652144653381049000810973734625397665081617186642638125804134211283\
3137159243017763546427160422759984610208692136723587051503514962139781286487\
4745292311144908135668941775972099839144371004386701488669381135353786884426\
0999631875831868818719154055460711404514643793953344903061982532046032130816\
47892653484182450358981521666819175219200
Complex polynomial:
x^96+4256*x^88+83968*x^84-565530*x^80-232085056*x^76+6433558944*x^72-4435738\
2944*x^68+58459734977*x^64+495311134432*x^60-1655290602112*x^56-119945851558\
4*x^52+10898807715936*x^48-4797834062336*x^44-26484649633792*x^40+3169991260\
3648*x^36+14965692154112*x^32-45421960134656*x^28+26351857434624*x^24-380248\
1557504*x^20-37062574080*x^16+22011707392*x^12+4462739456*x^8+16777216
Common denominator of the automorphisms:
17218187781551143183100466100430711500545237433713364171234526363648000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.