Group GAP4(128,290)
Name: ((C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)) : C2
Maximal quotients:GAP4(64,92) GAP4(64,100)
Real polynomial:
x^128-1680*x^126+1363800*x^124-712814080*x^122+269677112900*x^120-7871912146\
1200*x^118+18454498401524400*x^116-3571282726789084000*x^114+581930414151909\
738150*x^112-81047918914603997662000*x^110+9760688379854271316360000*x^108-1\
025861143152114261469492000*x^106+94797029775952030903984697500*x^104-774882\
9152019205519132932430000*x^102+563100776848731202346039522170000*x^100-3652\
9733997603060480968888596100000*x^98+2122827803558910922483320266554740625*x\
^96-110824328896071542344536837948129600000*x^94+520999282370466262892067963\
8668651225000*x^92-220986416197272839404401410963380365900000*x^90+847039283\
0659705432495890704692475483375000*x^88-293758510982042243401264536685481167\
659000000*x^86+9226480267701331797101784307930280689854000000*x^84-262622095\
063552122497209245586795672341740000000*x^82+6777293750404888784345863834376\
119359012485250000*x^80-158593989794930246995826736412889003242740620000000*\
x^78+3365095150604272440500103891863961149265970180000000*x^76-6472389624225\
9601368620769093225170440464070560000000*x^74+112789183167552554079476602463\
6951911444901962450000000*x^72-177945116905569634541250778391974018485694809\
60400000000*x^70+253921816222248405667290878421488845030651151207400000000*x\
^68-3273286373304333695867074676805548549942744568316000000000*x^66+38062946\
930771946557291759095365011944851432908689000000000*x^64-3985674886103714033\
63134231988067708924646714009168000000000*x^62+37506099997085808206766000395\
23357676057916123463324000000000*x^60-31643414835018718421297293892251625834\
662847718810256000000000*x^58+2387119819878416660458850948359745303736684329\
83578380000000000*x^56-16052136568206502586385807374277266378449811561433931\
20000000000*x^54+95879920429988488195542185558802372466089644543306235200000\
00000*x^52-50665626221097061926393684233684161081170704706866425600000000000\
*x^50+235777955098367504107020285530073200284957733451753953800000000000*x^4\
8-961249139504406255204219234212641802874183562210385206400000000000*x^46+34\
13021712846781111119662073358317724968422464988593372800000000000*x^44-10482\
997769171317122395480038302401589654063258265205913600000000000*x^42+2764051\
6255721702539664542088625858607989806826852733496000000000000*x^40-620207545\
28067130709818278737585734089074666821167006912000000000000*x^38+11726350476\
9749618604529157368634707373977900003275970144000000000000*x^36-184738860705\
847070356508985974451082466734482973103365760000000000000*x^34+2394580094086\
18409506796185894778795016555023142126405792000000000000*x^32-25176788469444\
9155740312526781603557342099527239399068160000000000000*x^30+211337220530621\
448379088632499000332381339876928845855360000000000000*x^28-1391720097603178\
35952086770845617943615849913873051973120000000000000*x^26+70558021828707696\
176332176263901605265554285205425667200000000000000*x^24-2701377876022237269\
3817490494175846093875691590386816000000000000000*x^22+767061368991088059064\
6566315698672106533812954946073600000000000000*x^20-159118068113641970671757\
1979553713779889074869766144000000000000000*x^18+238061176971880729136641078\
034870023345966468652371200000000000000*x^16-2535889340088944228706743833276\
8750454675185561088000000000000000*x^14+189300084602880491988475783708717941\
6517381325824000000000000000*x^12-968674183259795626542411094433640518066086\
15424000000000000000*x^10+32874090431247154020915852095985296893336819200000\
00000000000*x^8-70078782615636581810383387401697053948672000000000000000000*\
x^6+847300226964799691185733648143419803960320000000000000000*x^4-4552759474\
825762963622668613012682240000000000000000000*x^2+28590037816113589145619168\
53287528960000000000000000
Common denominator of the automorphisms:
3217905279381961192499863705562490604875419100189594696747148645662256300640\
3759666259697698320556528648794079408336583116612459879328403764873880274461\
9553216009995806351882718706769237812848394482647154894372756801242518418090\
3973531547141592558489717385304147739084107301086158835314486809007180042491\
6221799649121657447484222320074778864483038854451156412661769888245593128104\
0803119311341737648008289690075782782635019271069631904421435272286867961453\
1842347726244755026758786997306346233287410541031324451464816915473267956049\
4278128333666893327310342163213135414564950470266001574177468234906813320387\
8373327096237316697808126074775339231081565828819478475421939743620106028730\
6946301814732872272778324113819439416350646263993607089768529369243826856929\
4139881166827950928463334935507863101821883072825385744633977250876951443831\
8608335122534273975283058866053698836226456950564797081528261208597799230567\
495118002849971427606899783106560000000000000000
Complex polynomial:
x^128+1680*x^126+1363800*x^124+712814080*x^122+269677112900*x^120+7871912146\
1200*x^118+18454498401524400*x^116+3571282726789084000*x^114+581930414151909\
738150*x^112+81047918914603997662000*x^110+9760688379854271316360000*x^108+1\
025861143152114261469492000*x^106+94797029775952030903984697500*x^104+774882\
9152019205519132932430000*x^102+563100776848731202346039522170000*x^100+3652\
9733997603060480968888596100000*x^98+2122827803558910922483320266554740625*x\
^96+110824328896071542344536837948129600000*x^94+520999282370466262892067963\
8668651225000*x^92+220986416197272839404401410963380365900000*x^90+847039283\
0659705432495890704692475483375000*x^88+293758510982042243401264536685481167\
659000000*x^86+9226480267701331797101784307930280689854000000*x^84+262622095\
063552122497209245586795672341740000000*x^82+6777293750404888784345863834376\
119359012485250000*x^80+158593989794930246995826736412889003242740620000000*\
x^78+3365095150604272440500103891863961149265970180000000*x^76+6472389624225\
9601368620769093225170440464070560000000*x^74+112789183167552554079476602463\
6951911444901962450000000*x^72+177945116905569634541250778391974018485694809\
60400000000*x^70+253921816222248405667290878421488845030651151207400000000*x\
^68+3273286373304333695867074676805548549942744568316000000000*x^66+38062946\
930771946557291759095365011944851432908689000000000*x^64+3985674886103714033\
63134231988067708924646714009168000000000*x^62+37506099997085808206766000395\
23357676057916123463324000000000*x^60+31643414835018718421297293892251625834\
662847718810256000000000*x^58+2387119819878416660458850948359745303736684329\
83578380000000000*x^56+16052136568206502586385807374277266378449811561433931\
20000000000*x^54+95879920429988488195542185558802372466089644543306235200000\
00000*x^52+50665626221097061926393684233684161081170704706866425600000000000\
*x^50+235777955098367504107020285530073200284957733451753953800000000000*x^4\
8+961249139504406255204219234212641802874183562210385206400000000000*x^46+34\
13021712846781111119662073358317724968422464988593372800000000000*x^44+10482\
997769171317122395480038302401589654063258265205913600000000000*x^42+2764051\
6255721702539664542088625858607989806826852733496000000000000*x^40+620207545\
28067130709818278737585734089074666821167006912000000000000*x^38+11726350476\
9749618604529157368634707373977900003275970144000000000000*x^36+184738860705\
847070356508985974451082466734482973103365760000000000000*x^34+2394580094086\
18409506796185894778795016555023142126405792000000000000*x^32+25176788469444\
9155740312526781603557342099527239399068160000000000000*x^30+211337220530621\
448379088632499000332381339876928845855360000000000000*x^28+1391720097603178\
35952086770845617943615849913873051973120000000000000*x^26+70558021828707696\
176332176263901605265554285205425667200000000000000*x^24+2701377876022237269\
3817490494175846093875691590386816000000000000000*x^22+767061368991088059064\
6566315698672106533812954946073600000000000000*x^20+159118068113641970671757\
1979553713779889074869766144000000000000000*x^18+238061176971880729136641078\
034870023345966468652371200000000000000*x^16+2535889340088944228706743833276\
8750454675185561088000000000000000*x^14+189300084602880491988475783708717941\
6517381325824000000000000000*x^12+968674183259795626542411094433640518066086\
15424000000000000000*x^10+32874090431247154020915852095985296893336819200000\
00000000000*x^8+70078782615636581810383387401697053948672000000000000000000*\
x^6+847300226964799691185733648143419803960320000000000000000*x^4+4552759474\
825762963622668613012682240000000000000000000*x^2+28590037816113589145619168\
53287528960000000000000000
Common denominator of the automorphisms:
3217905279381961192499863705562490604875419100189594696747148645662256300640\
3759666259697698320556528648794079408336583116612459879328403764873880274461\
9553216009995806351882718706769237812848394482647154894372756801242518418090\
3973531547141592558489717385304147739084107301086158835314486809007180042491\
6221799649121657447484222320074778864483038854451156412661769888245593128104\
0803119311341737648008289690075782782635019271069631904421435272286867961453\
1842347726244755026758786997306346233287410541031324451464816915473267956049\
4278128333666893327310342163213135414564950470266001574177468234906813320387\
8373327096237316697808126074775339231081565828819478475421939743620106028730\
6946301814732872272778324113819439416350646263993607089768529369243826856929\
4139881166827950928463334935507863101821883072825385744633977250876951443831\
8608335122534273975283058866053698836226456950564797081528261208597799230567\
495118002849971427606899783106560000000000000000
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.