Group GAP4(96,24)
Name: C24 : C4
Maximal quotients:GAP4(32,13) GAP4(48,6) GAP4(48,13)
Real polynomial:
x^96-1200*x^94+671760*x^92-234080000*x^90+57153187200*x^88-10433801760000*x^\
86+1483832002088000*x^84-169084419999600000*x^82+15757103527686600000*x^80-1\
219515062785200000000*x^78+79322861317443957600000*x^76-43768743561266473200\
00000*x^74+206394146163522282686000000*x^72-8366620443475638123000000000*x^7\
0+292911949223210417947320000000*x^68-8888417458202300235316000000000*x^66+2\
34418682064381548796475800000000*x^64-5383688874340470845073960000000000*x^6\
2+107800080051638950846691140000000000*x^60-18830231279668415402131950000000\
00000*x^58+28692305158727337120975915420000000000*x^56-381121104225513030064\
169634000000000000*x^54+4407636163000904832836218723200000000000*x^52-442989\
96066708383996024924100000000000000*x^50+38598196087081866362904469000150000\
0000000*x^48-2906683950533065897641018557700000000000000*x^46+18848807633826\
276750137766289260000000000000*x^44-1047944338388660234472461926320000000000\
00000*x^42+497026448611565353530989277969000000000000000*x^40-19995080991705\
63250375912462500000000000000000*x^38+67791337827197292855658986575380000000\
00000000*x^36-19231900757192380051376435456100000000000000000*x^34+452937458\
57675241439310785466280000000000000000*x^32-87795347795407804584095770790000\
000000000000000*x^30+138753063527888585276877658242600000000000000000*x^28-1\
76982194462051023261979329230000000000000000000*x^26+18019596108746424597695\
6506461500000000000000000*x^24-144711273037410499521721246050000000000000000\
000*x^22+90482645561646571642590917250000000000000000000*x^20-43427317039467\
993810132675000000000000000000000*x^18+1574874947285578565318409375000000000\
0000000000*x^16-4239177623406185747325000000000000000000000000*x^14+82986522\
0071314668078125000000000000000000000*x^12-115376929226312472656250000000000\
000000000000*x^10+11070861184934619140625000000000000000000000*x^8-705651764\
672851562500000000000000000000000*x^6+28155095214843750000000000000000000000\
000*x^4-629425048828125000000000000000000000000*x^2+596046447753906250000000\
0000000000000
Common denominator of the automorphisms:
2719197638953435143328410936557124508647651143893982861940960195620996309729\
1455314309417647261926421183847123036094602373878815859983394185431790027772\
7302807285287438022961098520173467611224736092239403714851001234435472386731\
0401747450454860883131746872631351362485932922363281250000000000000000000000\
0000
Complex polynomial:
x^96+1200*x^94+671760*x^92+234080000*x^90+57153187200*x^88+10433801760000*x^\
86+1483832002088000*x^84+169084419999600000*x^82+15757103527686600000*x^80+1\
219515062785200000000*x^78+79322861317443957600000*x^76+43768743561266473200\
00000*x^74+206394146163522282686000000*x^72+8366620443475638123000000000*x^7\
0+292911949223210417947320000000*x^68+8888417458202300235316000000000*x^66+2\
34418682064381548796475800000000*x^64+5383688874340470845073960000000000*x^6\
2+107800080051638950846691140000000000*x^60+18830231279668415402131950000000\
00000*x^58+28692305158727337120975915420000000000*x^56+381121104225513030064\
169634000000000000*x^54+4407636163000904832836218723200000000000*x^52+442989\
96066708383996024924100000000000000*x^50+38598196087081866362904469000150000\
0000000*x^48+2906683950533065897641018557700000000000000*x^46+18848807633826\
276750137766289260000000000000*x^44+1047944338388660234472461926320000000000\
00000*x^42+497026448611565353530989277969000000000000000*x^40+19995080991705\
63250375912462500000000000000000*x^38+67791337827197292855658986575380000000\
00000000*x^36+19231900757192380051376435456100000000000000000*x^34+452937458\
57675241439310785466280000000000000000*x^32+87795347795407804584095770790000\
000000000000000*x^30+138753063527888585276877658242600000000000000000*x^28+1\
76982194462051023261979329230000000000000000000*x^26+18019596108746424597695\
6506461500000000000000000*x^24+144711273037410499521721246050000000000000000\
000*x^22+90482645561646571642590917250000000000000000000*x^20+43427317039467\
993810132675000000000000000000000*x^18+1574874947285578565318409375000000000\
0000000000*x^16+4239177623406185747325000000000000000000000000*x^14+82986522\
0071314668078125000000000000000000000*x^12+115376929226312472656250000000000\
000000000000*x^10+11070861184934619140625000000000000000000000*x^8+705651764\
672851562500000000000000000000000*x^6+28155095214843750000000000000000000000\
000*x^4+629425048828125000000000000000000000000*x^2+596046447753906250000000\
0000000000000
Common denominator of the automorphisms:
2719197638953435143328410936557124508647651143893982861940960195620996309729\
1455314309417647261926421183847123036094602373878815859983394185431790027772\
7302807285287438022961098520173467611224736092239403714851001234435472386731\
0401747450454860883131746872631351362485932922363281250000000000000000000000\
0000
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.