Group GAP4(96,211)
Name: (C6 x D8) : C2
Maximal quotients:GAP4(32,49) GAP4(48,51)
Real polynomial:
x^96-360*x^94+61224*x^92-6557624*x^90+497528700*x^88-28509996456*x^86+128466\
9961352*x^84-46791371184408*x^82+1405263691631754*x^80-35321996544735384*x^7\
8+751651976264440536*x^76-13664277678669390216*x^74+213728868213681710108*x^\
72-2892878924009293963416*x^70+34038767295114049593144*x^68-3494394345865669\
79144680*x^66+3138773445250991281095399*x^64-24721718688773831668853520*x^62\
+171005056334649962925624976*x^60-1039914446997913976767610160*x^58+55625675\
70640504437684988728*x^56-26173917318040807211103696528*x^54+108294867929906\
015799847841616*x^52-393666955078313064723221501424*x^50+1255664210465412591\
129927487084*x^48-3508196000387405957411358126384*x^46+856633206000314819551\
5812003760*x^44-18231502232911906478099076526608*x^42+3370911904395950386338\
3642144984*x^40-53938127701498825939414612687920*x^38+7435574631417553634566\
0974562672*x^36-87849759252797802687483511612368*x^34+8842294447243542248614\
1635524831*x^32-75298719121031921405715153255176*x^30+5382214441305948202133\
0149488072*x^28-31997672700161352984711597074328*x^26+1565590646362896742823\
5477439180*x^24-6227523742891185560817032392008*x^22+19851248423504221531261\
12930728*x^20-498552963077607456316469731704*x^18+96669953488540655495740782\
762*x^16-14127237725695017037663276728*x^14+1512492084478163692419633656*x^1\
2-114830911518242928428931048*x^10+5956585142658880441107852*x^8-20131742102\
7716430141880*x^6+4113747345245503304664*x^4-43917466524946915272*x^2+167033\
253339486361
Common denominator of the automorphisms:
1054283581947808891973514567458757227480727655159789372159657604231643417736\
1773840239176410186970339392046880253429554351248564176317097245334867176283\
1927032538565968891286792739595700334892014048156492794858304455589127419256\
53420258099200
Complex polynomial:
x^96-20286*x^72+34399203201*x^48-6730407936*x^24+110075314176
Common denominator of the automorphisms:
881530749912864522240
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.