# Group GAP4(96,98)

Name: (C4 : C4) x S3
Maximal quotients:GAP4(32,23) GAP4(48,35) GAP4(48,38) GAP4(48,40)
Real polynomial:
```x^96-1000*x^94+416900*x^92-95639472*x^90+13503836800*x^88-1251691387840*x^86\
+79796298911792*x^84-3628844600170320*x^82+121237441221589908*x^80-304864835\
8587019040*x^78+58881274708009983296*x^76-888500730923815579936*x^74+1062682\
6722402158350592*x^72-101974738701022309784704*x^70+793192075516478563766304\
*x^68-5044484068692877370841280*x^66+26422065146598260764126304*x^64-1146745\
83674703799448156288*x^62+414470020776545841399359424*x^60-12525571392216600\
00243141632*x^58+3174989802824046137220665344*x^56-6765858994605216523427854\
336*x^54+12139175338657278687460386816*x^52-18351183779972351716790351104*x^\
50+23375559912761685022389102656*x^48-25073037501371348817444523520*x^46+226\
17835769337645366130495488*x^44-17127489507683457942077310464*x^42+108617623\
33653509047667372032*x^40-5752007960126693534597257216*x^38+2535116353477689\
365501683200*x^36-926383683275176526188278784*x^34+2794916076106847137256422\
40*x^32-69297618004310413961787392*x^30+14048791983656973599118336*x^28-2315\
961776434036980015104*x^26+308583405648701516349440*x^24-3301187606648361087\
7952*x^22+2814402014271066349568*x^20-189591656151424086016*x^18+99915735715\
36917504*x^16-407012586877575168*x^14+12625347620495360*x^12-292498178220032\
*x^10+4928985432064*x^8-58123124736*x^6+450732032*x^4-2048000*x^2+4096```
Common denominator of the automorphisms:
```2742115417530141060170743429144210520376882236288328404138936278573071519296\
2899149902750832108149758494228765972807847632544594107454631267517291629753\
2574288241638626209599258036167531713282532047679691262421489170751408832512```
Complex polynomial:
```x^96-145488*x^84+10583379072*x^72+9186152734975104*x^60+39866892910088814040\
32*x^48+391964258975442435072*x^36+19268617278510931968*x^24-32181424644096*\
x^12+26873856```
Common denominator of the automorphisms:
`7873212746259332691511639465065876971199977612598170222592`

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.