Group GAP4(96,62)
Name: C3 x QD32
Maximal quotients:GAP4(32,19) GAP4(48,25)
Real polynomial:
x^96-432*x^94+88296*x^92-11384032*x^90+1041422352*x^88-72081677568*x^86+3930\
234497296*x^84-173531823696768*x^82+6329032221197970*x^80-193529747483797232\
*x^78+5018357105096053680*x^76-111337471938363156336*x^74+212829121538165322\
0812*x^72-35248372300304413419648*x^70+508003371986274399835248*x^68-6392929\
864954311960849152*x^66+70433349785058436773611865*x^64-68068253141989847785\
1120400*x^62+5778075824282923493828287824*x^60-43117078853990364647743403424\
*x^58+282937348743132702698513632908*x^56-1632532423338052886343423979104*x^\
54+8278265027528919315127386737064*x^52-36857434414596282319840494836688*x^5\
0+143897040404491372285682322207438*x^48-491793444745001185366012510170432*x\
^46+1468275872487587633255510032027632*x^44-38197595242584766709192423874495\
20*x^42+8633464490694598446358706814011232*x^40-1689521759414236392211684274\
5942176*x^38+28513493583283971127843220221606856*x^36-4131079867499198528505\
8263208013264*x^34+51112065377097490436904035121465570*x^32-5367856392491357\
5851477292823822336*x^30+47517176081106675409326421183527768*x^28-3516597731\
6734556605413136294936368*x^26+21549998823547301132755869562188028*x^24-1081\
1526328987872304990221168151392*x^22+4380819892966380122377835015303952*x^20\
-1410611803843493542740191993928640*x^18+354023041276080473538173827806888*x\
^16-67687007333158902819193826929680*x^14+9603273869118142997599429133704*x^\
12-981942456428971732708819419792*x^10+70059370268719448148111008544*x^8-335\
3710000273495501596656640*x^6+101596406608873421234735112*x^4-17455566735285\
27144542064*x^2+12862158069191766291009
Common denominator of the automorphisms:
4589760304172718342663727778789828507184019505228302156834952240193922782598\
3986552881399251254752992273611300824103209012296674446969665912883133680614\
5775630090328709083305868660349930823228520556678840190510671450672659768303\
9033336698274374919627172319748673684251303177140074643633257512706761689070\
39613311955412929915646701002241554734369173360101742306039840
Complex polynomial:
x^96+3744*x^88-265664*x^84+4704414*x^80-31187520*x^76+1668471424*x^72-101551\
51552*x^68-43888865267*x^64+258307370048*x^60+1082026391264*x^56+52973421737\
6*x^52+2036285450578*x^48+2870635494272*x^44+1119008412704*x^40+114382148608\
*x^36+191773215374*x^32-11642962240*x^28+9633563104*x^24-2389473632*x^20+137\
778524*x^16+3710560*x^12+20800*x^8+1
Common denominator of the automorphisms:
2471866066239728102525879525372026378197423263705282217346870949900931992583\
81058900
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.