Group GAP4(72,14)
Name: C24 x C3
Maximal quotients:GAP4(24,2) GAP4(36,8)
Real polynomial:
x^72-336*x^70+51912*x^68-4915680*x^66+320802804*x^64-15381557856*x^62+563999\
295888*x^60-16252638032736*x^58+375354531054468*x^56-7049414058809472*x^54+1\
08858433460499072*x^52-1394009589075465600*x^50+14901074664677703936*x^48-13\
3629859058929099776*x^46+1009163639313855637920*x^44-6435233394926429036160*\
x^42+34711594284003488087040*x^40-158519498017566124583424*x^38+612954896675\
314585730688*x^36-2005447269048702505399296*x^34+5543552541580581884428800*x\
^32-12917020354389058936137984*x^30+25290545076940404090356352*x^28-41436483\
426287104869568512*x^26+56515861227915539592403968*x^24-63753310542372619542\
764544*x^22+59006838439785110518812672*x^20-44369258128894434133536768*x^18+\
26775414125465285906317440*x^16-12771306017384114931784704*x^14+472242002948\
8933511255040*x^12-1319999318205886645899264*x^10+269565673365761066445312*x\
^8-38306033610656802729984*x^6+3510083195193522898944*x^4-180776816919838089\
216*x^2+3766183685829960192
Common denominator of the automorphisms:
7350923983123963376365080619076286037183726758664147473134163802396571774266\
24512
Complex polynomial:
x^72+336*x^70+51912*x^68+4915680*x^66+320802804*x^64+15381557856*x^62+563999\
295888*x^60+16252638032736*x^58+375354531054468*x^56+7049414058809472*x^54+1\
08858433460499072*x^52+1394009589075465600*x^50+14901074664677703936*x^48+13\
3629859058929099776*x^46+1009163639313855637920*x^44+6435233394926429036160*\
x^42+34711594284003488087040*x^40+158519498017566124583424*x^38+612954896675\
314585730688*x^36+2005447269048702505399296*x^34+5543552541580581884428800*x\
^32+12917020354389058936137984*x^30+25290545076940404090356352*x^28+41436483\
426287104869568512*x^26+56515861227915539592403968*x^24+63753310542372619542\
764544*x^22+59006838439785110518812672*x^20+44369258128894434133536768*x^18+\
26775414125465285906317440*x^16+12771306017384114931784704*x^14+472242002948\
8933511255040*x^12+1319999318205886645899264*x^10+269565673365761066445312*x\
^8+38306033610656802729984*x^6+3510083195193522898944*x^4+180776816919838089\
216*x^2+3766183685829960192
Common denominator of the automorphisms:
7350923983123963376365080619076286037183726758664147473134163802396571774266\
24512
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.