Group GAP4(128,898)
Name: (C8 . D8 = C4 . (C8 x C2)) : C2
Maximal quotient:GAP4(64,113)
Real polynomial:
x^128-1280*x^126+773120*x^124-293529600*x^122+78727597440*x^120-158926619699\
20*x^118+2512073958579200*x^116-319345228750643200*x^114+3327960797901584992\
0*x^112-2883508743078921676800*x^110+209960119831181928652800*x^108-12953901\
730065383049216000*x^106+681537455016265142287948800*x^104-30730475817828791\
801098854400*x^102+1192134565861836297321006080000*x^100-3990826515943762397\
2091764736000*x^98+1155530309301090929740677243436800*x^96-28989036665402167\
079804538759168000*x^94+630921939500350157111991220527104000*x^92-1192356608\
1442807985940572680437760000*x^90+195796465917427860620853925647485952000*x^\
88-2794886430849890343619674024166203392000*x^86+346912341837366535818235678\
80639242240000*x^84-374522569871410100657970638005875179520000*x^82+35175513\
98711399568017301997230530628096000*x^80-28749066454440411377075806766866809\
569280000*x^78+204537617769033479446116279686007239147520000*x^76-1267267956\
139596250132726825872930783232000000*x^74+6841011426586807255313093740949137\
073889280000*x^72-32192818295897744107712043418606065132175360000*x^70+13213\
4348327449373842211733126485344834355200000*x^68-473260473674588637365090106\
504289623225139200000*x^66+1479711274882099820100766490097909296372956160000\
*x^64-4039638614406392648692733992273799530161766400000*x^62+962954114776086\
8561885812018557923290159513600000*x^60-200387724172392590738061976576424686\
55366144000000*x^58+36385483843789523543060722553736796377260032000000*x^56-\
57602608050519493503535638093369074423365632000000*x^54+79423826246533777976\
162732602450218818273280000000*x^52-9524961475058854630893653019858036532183\
0400000000*x^50+99188483229537589170526173968421140754206720000000*x^48-8951\
6219529126484500683133763582463151308800000000*x^46+698583041451328316629889\
62267970154174873600000000*x^44-47023881692705238650427355749413393137664000\
000000*x^42+27225715532354025085966058637626562060288000000000*x^40-13515431\
876394565423970784028087141597184000000000*x^38+5732293516037726899110952344\
722559139840000000000*x^36-2068835827887199086876899200079503032320000000000\
*x^34+632440900483474227335917351678672967680000000000*x^32-1628896959311298\
61505832684854362112000000000000*x^30+35127176623549697908256173275912601600\
000000000*x^28-6296336368781950454499263449006080000000000000*x^26+929945855\
570256862186240106143744000000000000*x^24-1120080297266186649652788872478720\
00000000000*x^22+10865007688234792217358987755520000000000000*x^20-835905334\
713280069587291340800000000000000*x^18+5004329247783186279149787136000000000\
0000*x^16-2274978241180693105065984000000000000000*x^14+76018983175514392009\
113600000000000000*x^12-1784093098173170319360000000000000000*x^10+274658606\
33185787904000000000000000*x^8-247156114600820736000000000000000*x^6+1013745\
628938240000000000000000*x^4-556109660160000000000000000*x^2+167961600000000\
00000000
Common denominator of the automorphisms:
2400860162563446180112367257872856176095180496229245278351645221878582467177\
1948541816649649333512575281937803186936484392671170881993921015437612280997\
3122955598025410799387567129113129234372887759222542528142036487230237781001\
8646726257321119869755413792611520601488199073932088010391570925720224269098\
3478151874934537919278896064609336398749763933724216334527006102051611501449\
8843993925693371701100129527910071874292479573454315480295059181256604374867\
0497869215146044405171503943115933137728271467929221011585673101354889461175\
0786241825830120385961164850084103999355120999001533762411323128330070298313\
2393936461375311236217129396911791075634307361428239300536554049161073708688\
1055124210966269727178684908116604068412491417030889773129927050441418200018\
7052761209188102374765465801250877218003617248967407943073292942240174723691\
3016096843734070099721928329942299333953915091158940734833321246309933942957\
3357186815142583474448902482694466376953703159589209257511684545422819328000\
000000000000
Complex polynomial:
x^128+1280*x^126+773120*x^124+293529600*x^122+78727597440*x^120+158926619699\
20*x^118+2512073958579200*x^116+319345228750643200*x^114+3327960797901584992\
0*x^112+2883508743078921676800*x^110+209960119831181928652800*x^108+12953901\
730065383049216000*x^106+681537455016265142287948800*x^104+30730475817828791\
801098854400*x^102+1192134565861836297321006080000*x^100+3990826515943762397\
2091764736000*x^98+1155530309301090929740677243436800*x^96+28989036665402167\
079804538759168000*x^94+630921939500350157111991220527104000*x^92+1192356608\
1442807985940572680437760000*x^90+195796465917427860620853925647485952000*x^\
88+2794886430849890343619674024166203392000*x^86+346912341837366535818235678\
80639242240000*x^84+374522569871410100657970638005875179520000*x^82+35175513\
98711399568017301997230530628096000*x^80+28749066454440411377075806766866809\
569280000*x^78+204537617769033479446116279686007239147520000*x^76+1267267956\
139596250132726825872930783232000000*x^74+6841011426586807255313093740949137\
073889280000*x^72+32192818295897744107712043418606065132175360000*x^70+13213\
4348327449373842211733126485344834355200000*x^68+473260473674588637365090106\
504289623225139200000*x^66+1479711274882099820100766490097909296372956160000\
*x^64+4039638614406392648692733992273799530161766400000*x^62+962954114776086\
8561885812018557923290159513600000*x^60+200387724172392590738061976576424686\
55366144000000*x^58+36385483843789523543060722553736796377260032000000*x^56+\
57602608050519493503535638093369074423365632000000*x^54+79423826246533777976\
162732602450218818273280000000*x^52+9524961475058854630893653019858036532183\
0400000000*x^50+99188483229537589170526173968421140754206720000000*x^48+8951\
6219529126484500683133763582463151308800000000*x^46+698583041451328316629889\
62267970154174873600000000*x^44+47023881692705238650427355749413393137664000\
000000*x^42+27225715532354025085966058637626562060288000000000*x^40+13515431\
876394565423970784028087141597184000000000*x^38+5732293516037726899110952344\
722559139840000000000*x^36+2068835827887199086876899200079503032320000000000\
*x^34+632440900483474227335917351678672967680000000000*x^32+1628896959311298\
61505832684854362112000000000000*x^30+35127176623549697908256173275912601600\
000000000*x^28+6296336368781950454499263449006080000000000000*x^26+929945855\
570256862186240106143744000000000000*x^24+1120080297266186649652788872478720\
00000000000*x^22+10865007688234792217358987755520000000000000*x^20+835905334\
713280069587291340800000000000000*x^18+5004329247783186279149787136000000000\
0000*x^16+2274978241180693105065984000000000000000*x^14+76018983175514392009\
113600000000000000*x^12+1784093098173170319360000000000000000*x^10+274658606\
33185787904000000000000000*x^8+247156114600820736000000000000000*x^6+1013745\
628938240000000000000000*x^4+556109660160000000000000000*x^2+167961600000000\
00000000
Common denominator of the automorphisms:
2400860162563446180112367257872856176095180496229245278351645221878582467177\
1948541816649649333512575281937803186936484392671170881993921015437612280997\
3122955598025410799387567129113129234372887759222542528142036487230237781001\
8646726257321119869755413792611520601488199073932088010391570925720224269098\
3478151874934537919278896064609336398749763933724216334527006102051611501449\
8843993925693371701100129527910071874292479573454315480295059181256604374867\
0497869215146044405171503943115933137728271467929221011585673101354889461175\
0786241825830120385961164850084103999355120999001533762411323128330070298313\
2393936461375311236217129396911791075634307361428239300536554049161073708688\
1055124210966269727178684908116604068412491417030889773129927050441418200018\
7052761209188102374765465801250877218003617248967407943073292942240174723691\
3016096843734070099721928329942299333953915091158940734833321246309933942957\
3357186815142583474448902482694466376953703159589209257511684545422819328000\
000000000000
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.