Group GAP4(96,22)
Name: C24 : C4
Maximal quotients:GAP4(32,4) GAP4(48,5) GAP4(48,11)
Real polynomial:
x^96-960*x^94+438480*x^92-126919200*x^90+26163437400*x^88-4092643416000*x^86\
+505463274792000*x^84-50637716640120000*x^82+4195459134167685000*x^80-291668\
350554462000000*x^78+17203489757055541800000*x^76-868388881392788478000000*x\
^74+37769460496558201586500000*x^72-1423108596213122706360000000*x^70+466503\
15879624669161220000000*x^68-1334849778176349841566300000000*x^66+3342479054\
2082775782909943750000*x^64-733770256869172868867766000000000*x^62+141394861\
23724731115361718000000000*x^60-239313736932403224699822150000000000*x^58+35\
57990371271145267402931027500000000*x^56-46447052742884358210677364900000000\
000*x^54+531877425191863536434144085450000000000*x^52-5334747913253992158657\
562000500000000000*x^50+46770102316875733145000591588812500000000*x^48-35744\
9973168164030357304717090000000000000*x^46+237360964424678785642047610248000\
0000000000*x^44-13639188009208409564687470562175000000000000*x^42+6748938545\
2351991766279199294368750000000000*x^40-285908895965873425352076740970000000\
000000000*x^38+1029853006911388573483156434730125000000000000*x^36-312854638\
9780503946158792740538750000000000000*x^34+793870493827147826276889951297152\
3437500000000*x^32-16635934820903497495057473881400000000000000000*x^30+2840\
2705661140288832068667430534375000000000000*x^28-388766198431223780006302992\
11531250000000000000*x^26+41847470418689535660649957523804687500000000000*x^\
24-34616171222126769991987810407187500000000000000*x^22+21403297873612996146\
279242116875000000000000000*x^20-9566038756417938133549177242187500000000000\
000*x^18+2965565011256448694303015288476562500000000000*x^16-604685814202414\
576382207953125000000000000000*x^14+7543654772250421580377296093750000000000\
0000*x^12-5195698912159900079769609375000000000000000*x^10+17065387571353898\
7496347656250000000000000*x^8-2665279532565799092187500000000000000000*x^6+1\
9968459655396035937500000000000000000*x^4-6566709651432421875000000000000000\
0*x^2+65749545996337890625000000000000
Common denominator of the automorphisms:
1242581065573477496530914981621012890099851561892525657090424228425710917668\
4136277052151019565186501729261838426246861702088568183946098545465437441040\
1927355859438641629295966131955247787513360786632796718918480127185448063596\
5265487152183639955310512409436949017273729187054374191280163401687500000000\
0000000000000000
Complex polynomial:
x^96+960*x^94+438480*x^92+126919200*x^90+26163437400*x^88+4092643416000*x^86\
+505463274792000*x^84+50637716640120000*x^82+4195459134167685000*x^80+291668\
350554462000000*x^78+17203489757055541800000*x^76+868388881392788478000000*x\
^74+37769460496558201586500000*x^72+1423108596213122706360000000*x^70+466503\
15879624669161220000000*x^68+1334849778176349841566300000000*x^66+3342479054\
2082775782909943750000*x^64+733770256869172868867766000000000*x^62+141394861\
23724731115361718000000000*x^60+239313736932403224699822150000000000*x^58+35\
57990371271145267402931027500000000*x^56+46447052742884358210677364900000000\
000*x^54+531877425191863536434144085450000000000*x^52+5334747913253992158657\
562000500000000000*x^50+46770102316875733145000591588812500000000*x^48+35744\
9973168164030357304717090000000000000*x^46+237360964424678785642047610248000\
0000000000*x^44+13639188009208409564687470562175000000000000*x^42+6748938545\
2351991766279199294368750000000000*x^40+285908895965873425352076740970000000\
000000000*x^38+1029853006911388573483156434730125000000000000*x^36+312854638\
9780503946158792740538750000000000000*x^34+793870493827147826276889951297152\
3437500000000*x^32+16635934820903497495057473881400000000000000000*x^30+2840\
2705661140288832068667430534375000000000000*x^28+388766198431223780006302992\
11531250000000000000*x^26+41847470418689535660649957523804687500000000000*x^\
24+34616171222126769991987810407187500000000000000*x^22+21403297873612996146\
279242116875000000000000000*x^20+9566038756417938133549177242187500000000000\
000*x^18+2965565011256448694303015288476562500000000000*x^16+604685814202414\
576382207953125000000000000000*x^14+7543654772250421580377296093750000000000\
0000*x^12+5195698912159900079769609375000000000000000*x^10+17065387571353898\
7496347656250000000000000*x^8+2665279532565799092187500000000000000000*x^6+1\
9968459655396035937500000000000000000*x^4+6566709651432421875000000000000000\
0*x^2+65749545996337890625000000000000
Common denominator of the automorphisms:
1242581065573477496530914981621012890099851561892525657090424228425710917668\
4136277052151019565186501729261838426246861702088568183946098545465437441040\
1927355859438641629295966131955247787513360786632796718918480127185448063596\
5265487152183639955310512409436949017273729187054374191280163401687500000000\
0000000000000000
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.