Group GAP4(112,29)

Name: C2 x D56
Maximal quotients:GAP4(16,11) GAP4(56,5) GAP4(56,12)
Real polynomial:
x^112-924*x^110+346962*x^108-73582680*x^106+10155488280*x^104-987467748624*x\
^102+71168386949304*x^100-3938591493434304*x^98+171795529241063008*x^96-6025\
735082768472192*x^94+172675184326296678432*x^92-4094905861590556705920*x^90+\
81213162084326246248064*x^88-1358871145449675475822848*x^86+1932363836779006\
0548800256*x^84-234994196937155589466621440*x^82+245687708713567994188464435\
2*x^80-22184059822096152204026594304*x^78+173672572621595122348457057280*x^7\
6-1182840314191393005954972825600*x^74+7029121738172764353546389786624*x^72-\
36539214350499609232878048239616*x^70+166513402363421154974967625869312*x^68\
-666465729451365407939240527478784*x^66+2346489593195246316067453075251200*x\
^64-7276417606836616373331430934102016*x^62+19892841211123475464134013340000\
256*x^60-47979587532295070867132545851162624*x^58+10213543746546579643552139\
3259266048*x^56-191918350129180283468530183404650496*x^54+318285459377975607\
426144213440004096*x^52-465690726837543447893211579782529024*x^50+6007013358\
57983056913267987264307200*x^48-682460906958198177729782300138274816*x^46+68\
2038896080573050777467395560701952*x^44-598658487918585597671473942357868544\
*x^42+460660522232890284674016201056190464*x^40-3100744913233885281530603963\
94086400*x^38+182108891509261727011655707294433280*x^36-93046690848057179573\
957560595644416*x^34+41219557576326123691866125376684032*x^32-15770193603044\
791000355330756444160*x^30+5187149676836820615684806972276736*x^28-145907678\
2296103845618092712394752*x^26+348807875156928421829877583314944*x^24-703499\
47022920574377439558369280*x^22+11866148312195456426541896957952*x^20-165634\
1447350428237089627701248*x^18+188891182000480593826658910208*x^16-173221085\
76362633630230511616*x^14+1252007503693143613284286464*x^12-6948686538661607\
8347534336*x^10+2858515827098339959111680*x^8-82846732557230612152320*x^6+15\
62577933911722033152*x^4-16645304222761353216*x^2+72057594037927936
Common denominator of the automorphisms:
2138000746349743686150875463417655672249766411170923580689598397686306048771\
5439823946924887031144373304184049332538172111740646317603160277865241722559\
641271008275020065538048000000
Complex polynomial:
x^112-132944*x^104+68275760896*x^96-257629417959424*x^88+349142786634285056*\
x^80-79390145177718882304*x^72+280218593581351305216*x^64+815768614286989455\
261696*x^56+1147775359309214946164736*x^48-1331945613917948075692785664*x^40\
+23992909603656963645784457216*x^32-72516234420108731023196422144*x^24+78716\
592980393646617836650496*x^16-627810289698622113289601024*x^8+19342813113834\
066795298816
Common denominator of the automorphisms:
752428691487626699526111840342246766123523847809327949089341440000

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.