Group GAP4(80,41)

Name: Q8 x D10
Maximal quotients:GAP4(16,12) GAP4(40,13)
Real polynomial:
x^80-528*x^78+109008*x^76-12419640*x^74+899711316*x^72-44779991076*x^70+1608\
865424424*x^68-43199463371976*x^66+889483084494318*x^64-14323743273732588*x^\
62+183196077633224388*x^60-1883657393336984580*x^58+15723069408536947542*x^5\
6-107380239730473779532*x^54+603833500709451520920*x^52-28102609440871426625\
76*x^50+10869430081882574140389*x^48-35052013073183457601800*x^46+9447982376\
4696789186732*x^44-213225911987918727868632*x^42+403333589259889622500077*x^\
40-639677735963756183605896*x^38+850318413882271102680588*x^36-9464043529759\
53355248600*x^34+880423836632488505371509*x^32-682893409413175667005968*x^30\
+440194622017190158750680*x^28-234840584290546155836484*x^26+103159058389410\
912823062*x^24-37076028473051867488140*x^22+10817545188164266887012*x^20-253\
7408149711906766436*x^18+472707779906744852238*x^16-68873898041598892248*x^1\
4+7695153450191834856*x^12-642543927410353932*x^10+38729622000394836*x^8-160\
3874334001320*x^6+42231932664912*x^4-613674054576*x^2+3486784401
Common denominator of the automorphisms:
2333901866660741198420780827637716388177741958757783298431332957274406959186\
480148711727
Complex polynomial:
x^80+22516200*x^72-3971465698320*x^64+898502450871368448*x^56+19278910409188\
9303367424*x^48-290714668095488704541300736*x^40+377311590445175365452223942\
656*x^32-40788261242753131974270910464*x^24+1867029498846519551361810432*x^1\
6-1027875315266747551973376*x^8+239609999527967195136
Common denominator of the automorphisms:
9100826959265155680675261389921360384055501020879931120292119447980612360601\
6

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