Group GAP4(112,20)

Name: C7 x ((C4 x C2) : C2)
Maximal quotients:GAP4(16,3) GAP4(56,8) GAP4(56,9)
Real polynomial:
x^112-336*x^110+54925*x^108-5820660*x^106+449602690*x^104-26982876336*x^102+\
1309744657432*x^100-52851044848800*x^98+1808529476926309*x^96-53273295075199\
392*x^94+1366635867703814425*x^92-30814582738285338612*x^90+6152377366516022\
84791*x^88-10943082200683237755000*x^86+174262671957268225508461*x^84-249469\
7379798613536030348*x^82+32214482879672621393515129*x^80-3762841834587257332\
87546608*x^78+3984768281169023748381903295*x^76-3832761760086843177844827586\
8*x^74+335330327762192406087367403470*x^72-2671563891798637543649350381968*x\
^70+19396879946798428300084361209264*x^68-128406289875302813099211269016000*\
x^66+775217579314190969228002689454669*x^64-42679978561432520565734847403032\
96*x^62+21421867604804726183032646105903329*x^60-979676728470947004140770809\
53738292*x^58+407897166614823754616382906399942091*x^56-15445420477119122174\
72840806223180280*x^54+5311948607512312287387527466968913265*x^52-1656597973\
6005191222191482836677841436*x^50+46759164193878640854106887586365471925*x^4\
8-119191169429363019946280642541273516624*x^46+27368014709583061810921431938\
3073516787*x^44-564413166753241247294047282760096008140*x^42+104198024347816\
7131373788741167209766307*x^40-1715472624710488001087022696902520359976*x^38\
+2507820807291171011073300335647633110565*x^36-32393964525519888235823681916\
55770394716*x^34+3676647914034317566715934187420030755133*x^32-3643116232154\
854672833164289087656301024*x^30+3128392637814884880144613207615786118323*x^\
28-2308275672242545832882206882590450257340*x^26+144893565511820175669134129\
0560651065793*x^24-764751770596831865891299113729328619400*x^22+334698651225\
604582818935159728737087763*x^20-119442359762716853229829887609932947764*x^1\
8+34048366295196047500259454927440367685*x^16-755584652892190726644210348854\
2791024*x^14+1262846917851140391529133252261392711*x^12-15212536482825093059\
9586522344910204*x^10+12424004950746958703643674575015582*x^8-62815578794413\
6552946097703752336*x^6+16938200120222538389889121966480*x^4-181961636314207\
711864302765120*x^2+394738283341574791164840121
Common denominator of the automorphisms:
18724793050846129942824232091
Complex polynomial:
x^112+336*x^110+54925*x^108+5820660*x^106+449602690*x^104+26982876336*x^102+\
1309744657432*x^100+52851044848800*x^98+1808529476926309*x^96+53273295075199\
392*x^94+1366635867703814425*x^92+30814582738285338612*x^90+6152377366516022\
84791*x^88+10943082200683237755000*x^86+174262671957268225508461*x^84+249469\
7379798613536030348*x^82+32214482879672621393515129*x^80+3762841834587257332\
87546608*x^78+3984768281169023748381903295*x^76+3832761760086843177844827586\
8*x^74+335330327762192406087367403470*x^72+2671563891798637543649350381968*x\
^70+19396879946798428300084361209264*x^68+128406289875302813099211269016000*\
x^66+775217579314190969228002689454669*x^64+42679978561432520565734847403032\
96*x^62+21421867604804726183032646105903329*x^60+979676728470947004140770809\
53738292*x^58+407897166614823754616382906399942091*x^56+15445420477119122174\
72840806223180280*x^54+5311948607512312287387527466968913265*x^52+1656597973\
6005191222191482836677841436*x^50+46759164193878640854106887586365471925*x^4\
8+119191169429363019946280642541273516624*x^46+27368014709583061810921431938\
3073516787*x^44+564413166753241247294047282760096008140*x^42+104198024347816\
7131373788741167209766307*x^40+1715472624710488001087022696902520359976*x^38\
+2507820807291171011073300335647633110565*x^36+32393964525519888235823681916\
55770394716*x^34+3676647914034317566715934187420030755133*x^32+3643116232154\
854672833164289087656301024*x^30+3128392637814884880144613207615786118323*x^\
28+2308275672242545832882206882590450257340*x^26+144893565511820175669134129\
0560651065793*x^24+764751770596831865891299113729328619400*x^22+334698651225\
604582818935159728737087763*x^20+119442359762716853229829887609932947764*x^1\
8+34048366295196047500259454927440367685*x^16+755584652892190726644210348854\
2791024*x^14+1262846917851140391529133252261392711*x^12+15212536482825093059\
9586522344910204*x^10+12424004950746958703643674575015582*x^8+62815578794413\
6552946097703752336*x^6+16938200120222538389889121966480*x^4+181961636314207\
711864302765120*x^2+394738283341574791164840121
Common denominator of the automorphisms:
18724793050846129942824232091

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.