Group GAP4(96,106)

Name: C2 x C8 x S3
Maximal quotients:GAP4(32,36) GAP4(48,4) GAP4(48,35)
Real polynomial:
x^96-240*x^94+27072*x^92-1911680*x^90+94978032*x^88-3538097280*x^86+10284847\
9232*x^84-2397553297920*x^82+45716115130272*x^80-723729748533760*x^78+962318\
4463073280*x^76-108465056213391360*x^74+1044030200375176192*x^72-86341929173\
16476160*x^70+61657242352513678080*x^68-381761857995826001920*x^66+205649959\
7082776918784*x^64-9665198185287431208960*x^62+39721840286653608513536*x^60-\
143012102405291338137600*x^58+451695934019293466370048*x^56-1252808250528887\
210229760*x^54+3053245204161983767400448*x^52-6540248844907683280404480*x^50\
+12312426483582378613801472*x^48-20361671566341177254277120*x^46+29555903252\
884950025814016*x^44-37610152391692504158208000*x^42+41887189083228643711119\
360*x^40-40743458095714911695831040*x^38+34522301523350233561235456*x^36-253\
99469500071890809651200*x^34+16164819207080737766350848*x^32-885840645293769\
3318348800*x^30+4157406242406012696920064*x^28-1660249099330980969185280*x^2\
6+559858527635502156349440*x^24-157962897963800327946240*x^22+36880725161241\
466306560*x^20-7029795728817507532800*x^18+1075695439837720412160*x^16-12934\
5667331291873280*x^14+11882852831618662400*x^12-802452917012398080*x^10+3764\
4950663331840*x^8-1120375385620480*x^6+17860748378112*x^4-101732843520*x^2+1\
57351936
Common denominator of the automorphisms:
1239260856350967265492406827801582914212837778511029787665095668978592746495\
2040089249752747909798873773385096730490246402327458753363880178704052226229\
7057039987980279098573818333295511961840705423763835191296
Complex polynomial:
x^96+447*x^80+726881*x^64-1253057*x^48+726881*x^32+447*x^16+1
Common denominator of the automorphisms:
3207195775

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