Group GAP4(128,622)
Name: ((C4 x C2 x C2) : C4) : C2
Maximal quotients:GAP4(64,67) GAP4(64,139)
Real polynomial:
x^128-416*x^126+83024*x^124-10597440*x^122+973077008*x^120-68542626976*x^118\
+3856929997744*x^116-178270347688320*x^114+6906626399005480*x^112-2277532747\
30655712*x^110+6469609829886372208*x^108-159832268904261951296*x^106+3461040\
773300975943024*x^104-66114341075410058034656*x^102+112010455793776991896475\
2*x^100-16906427208511044266444416*x^98+228207452169027695974825212*x^96-276\
3735530870930230056759328*x^94+30112382252828351734124827792*x^92-2958619975\
78108522335550665792*x^90+2626555268136320243106444427984*x^88-2110369980001\
5747116351298840864*x^86+153675833084914922940447118748272*x^84-101535672482\
3406637137464867643776*x^82+6092416688765112641935158157857752*x^80-33221434\
534684281101990160321909600*x^78+164709623847498203698131895620402224*x^76-7\
42717614961857819705054668468222272*x^74+30463960337117169595570808669243404\
00*x^72-11365376526685532059133397154263850848*x^70+385582192336518744829353\
63357487768656*x^68-118907742928719544091271333728974039680*x^66+33312691569\
4307950137847414784741012262*x^64-847191508050481608119379666056018237664*x^\
62+1953922522819419142267882205252332477680*x^60-408205919900385032239555827\
4995144980160*x^58+7714258509020805070111716308149980243760*x^56-13165736767\
204483012694574337842780640736*x^54+2025406110580512130895771598035956910619\
2*x^52-28025270196834890623878283325763535544448*x^50+3479153645917674266745\
7818361575215131544*x^48-38640449580577868212523566389337389706144*x^46+3826\
8065825131777014062568499924708751440*x^44-336693408258631127928212310379364\
80906176*x^42+26204776895962193014972700034569608273744*x^40-179533764058225\
35801434112841841383315872*x^38+10766758254217869485689739764677687705136*x^\
36-5615305166145723202315213826258681202560*x^34+252777169383394781085897209\
3500231388604*x^32-973559562896923510971935267151943712096*x^30+317519681495\
494431655145179644723584560*x^28-86630510123940534585811388018747662528*x^26\
+19487448213615090225431499561577056240*x^24-3551627493744169887766911893633\
035360*x^22+513378153432027082737715868616665296*x^20-5732841234121636433126\
9900372460672*x^18+4785595030940555048890526656791016*x^16-28642532256882441\
1899612690290976*x^14+11656701184945450321809255839248*x^12-3025703418904489\
17819234450368*x^10+4712472794179938269160499856*x^8-42886624949836235810795\
808*x^6+220409310371116650820976*x^4-586078274795917313920*x^2+6216963438054\
27361
Common denominator of the automorphisms:
2353854565197720413393745041506619955331937078383278027249520508093364285812\
8698375212873482606585787868605054055182964994079600619818747975692154323584\
7228421025586295585899265509116453035044013147729267772106949884763872555723\
3681340891514344070447901735725483610779188361968715872909845247811743602996\
1367618899808180512990080034582005150975542840099385861011904533277853348875\
66655830817249951911772160
Complex polynomial:
x^128-3632*x^120+564504*x^112+5951796784*x^104+128315226172*x^96+54743624558\
6256*x^88-4273127481588888*x^80-790266158643075024*x^72-74130381099089046810\
*x^64+2316464313753912741616*x^56+34798909705028090008360*x^48+1561266924161\
020084752*x^40+6266124665777587324*x^32+704116228992611824*x^24+164779330810\
68504*x^16+107946712569744*x^8+282429536481
Common denominator of the automorphisms:
3571360253375423097552902923506224978715948652868394926718840752944247687894\
360306718669395481048058429440
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.