Group GAP4(128,492)

Name: C4 x ((C8 x C2) : C2)
Maximal quotients:GAP4(64,58) GAP4(64,95) GAP4(64,97) GAP4(64,118) GAP4(64,119)
Real polynomial:
x^128-384*x^126+70656*x^124-8305712*x^122+701654064*x^120-45430390528*x^118+\
2347916902328*x^116-99598184258896*x^114+3538931708592136*x^112-106962052889\
244048*x^110+2783207386230347888*x^108-62949541926839839120*x^106+1247282352\
143256989516*x^104-21790161475774816800144*x^102+337450956703717518977176*x^\
100-4653419123616242575842464*x^98+57358272458207146537433980*x^96-633985881\
862072462921673248*x^94+6300947737138086816232392104*x^92-564384229949555703\
11967673664*x^90+456486180412378764766167326648*x^88-33393790018030515348721\
81463728*x^86+22124150681384933953305702306312*x^84-132891212873083163491688\
852111040*x^82+724301116154044674604037710670990*x^80-3584317205432731357076\
431067350720*x^78+16111744446098478207191730055288424*x^76-65800710955566935\
400003749107401904*x^74+244172283512444023733367662020857268*x^72-8231744349\
31828218059326481414592432*x^70+2520563737955624254769845459249995744*x^68-7\
006880773958529435660031894733884352*x^66+1767320893384643435299963783898213\
3790*x^64-40415141004144446444363237427714016304*x^62+8371764012257042788044\
8649215916593376*x^60-156917476690030340793263598511936805920*x^58+265811671\
654299170013722783774100053868*x^56-406368140299442779308372563111516000208*\
x^54+559792716780348135259469659731420126736*x^52-69364418647311969363435157\
0728583027312*x^50+771621020487520472358853166702792124572*x^48-768944305053\
156981916694977324144522224*x^46+684821410730745353309208202246938294616*x^4\
4-543641407795215313492837356950590366832*x^42+38356884459886095253004184297\
4199972604*x^40-239761976435160538701521183157862659712*x^38+132307551690753\
198755512945159536432624*x^36-64201721050436413547028846107574175840*x^34+27\
274658894006611181534909262584432261*x^32-1009448636868539855488748704023805\
0560*x^30+3236743635768926761595043693733369184*x^28-89348508546625274490593\
1625334393056*x^26+210800219501812658730845241276288980*x^24-421505142969706\
41831334844870871392*x^22+7072640771431215599436353930816048*x^20-9841645885\
73029191278413595124624*x^18+111944558125191363211120573970558*x^16-10223240\
807453612053233340502880*x^14+732518893819831095077305664872*x^12-3993518083\
2539495784272254720*x^10+1586544538415801208842074204*x^8-430148852843735929\
36838288*x^6+710778569888409284720392*x^4-5587813072503587199184*x^2+6694475\
646122773441
Common denominator of the automorphisms:
2422761853095837798681556604524592242774821582185900993266391922469916871826\
4777621296412181798883053530492090959344174168847846102317045406958399559461\
3680616170075077345537158436626103610411441710527330079338064272406047594765\
8282337879638236268657180074206800797871231090001408455856008708706691259003\
0759891784112694969312183978345516365802747373826515690042040914853589176663\
4681772387610619513137926361093977191511061342119276448078060139488644142321\
4642432
Complex polynomial:
x^128+8*x^124-64*x^120-1496*x^116-3746*x^112-177648*x^108-986688*x^104+15156\
040*x^100+242195139*x^96+11575392*x^92-661734848*x^88-1014632464*x^84+336479\
996*x^80-6713424920*x^76+2583571072*x^72+18026461816*x^68+20369772101*x^64-3\
1564570152*x^60+26291191168*x^56-17143108280*x^52+9287868156*x^48-5078878032\
*x^44+2548050688*x^40-1130715936*x^36+405748419*x^32-59154200*x^28+6687488*x\
^24-652336*x^20+57694*x^16-5048*x^12+384*x^8-24*x^4+1
Common denominator of the automorphisms:
94740525033946063729724465149316400

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.