Group GAP4(128,702)

Name: (C8 x C4 x C2) : C2
Maximal quotients:GAP4(64,71) GAP4(64,118) GAP4(64,147) GAP4(64,174) GAP4(64,176)
Real polynomial:
x^128-576*x^126+159392*x^124-28245120*x^122+3604686528*x^120-353279517824*x^\
118+27686313786816*x^116-1783902105716736*x^114+96429230890258016*x^112-4440\
417790906007808*x^110+176281117919916464256*x^108-6091180862629039952384*x^1\
06+184622427763276892711168*x^104-4940118110493720723214848*x^102+1173221333\
97109341722766080*x^100-2484058133371087220075151360*x^98+470684693515346985\
06818331584*x^96-800721682086099263657433707520*x^94+12263141102871130842241\
969824256*x^92-169470953582481476198893292742656*x^90+2117436533725705277549\
415663012864*x^88-23958393345143585839232053301667840*x^86+24582456679559436\
4570891727458118656*x^84-2289765421460518920844498811940536320*x^82+19379027\
465335831989313922910415731200*x^80-149118806126352266485118941328130134016*\
x^78+1043733304923437962867211008367901829120*x^76-6646886468105346207702348\
863465481019392*x^74+38517189095664979800756184235282779443200*x^72-20307570\
3502900926143125160846857833390080*x^70+973896154619937287832706119381063378\
792448*x^68-4246470592770422851076543946266011130658816*x^66+168243631365658\
66113188994795379466706871808*x^64-60520412154469628328796352120711845705596\
928*x^62+197467992551058207573055033106521622988840960*x^60-5837406651551704\
30768177358675916017649418240*x^58+15612846656218636152266713372544035356707\
55328*x^56-3772262734112677654061933961335428316070248448*x^54+8218637319512\
208262075806387817964833874984960*x^52-1611348342936269493568424409407458237\
7923346432*x^50+28364024066683356027335274832077350477129490432*x^48-4470986\
2666393511975426072649306207366919946240*x^46+629246430510828625321543084406\
84630877144186880*x^44-78810420943155449931131328912421848381895606272*x^42+\
87512945941609909120054533942971068938425925632*x^40-85793976894319347976400\
644567246725862336626688*x^38+7390321078195990140231458632237470403508941619\
2*x^36-55632902198052042622962735376428318757870370816*x^34+3637153326328258\
0550102187419751238816437354496*x^32-205041827932728438218444976680583413512\
11401216*x^30+9884669167984478815000579769399100372231258112*x^28-4035383524\
971343754136959063013642623339986944*x^26+1379065976937241177371693999603118\
311622311936*x^24-389060034403093624390883727904903184631988224*x^22+8908020\
5720043088830506059624764589817987072*x^20-162044731644640765348514224414913\
52527044608*x^18+2278854757199029266224340802631747887300608*x^16-2389247806\
98623164045614149983192419926016*x^14+17752642883373739142634098148702800052\
224*x^12-866424084898266168938342557565595942912*x^10+2446042800845932918568\
6019302856065024*x^8-310214347312964812277133737017212928*x^6+97264578941022\
0513055614446862336*x^4-1126757838861313311059604406272*x^2+4410236942963685\
75267536896
Common denominator of the automorphisms:
2928418884681841729957125132326965498462787723684990058521902862785415238591\
3108422639254658871260433215509100626613066246477204523797491066121702948312\
5212395572298042816029099125765992056624451122887202977695606479930570178361\
7856317119940479217673465748321113654978767058598749901950422606383120095239\
0809060403108649994726701013372590801316684798286637595705548521377289960279\
4748401308310634161992197097488189625601569540452715021138692284752569065642\
3936
Complex polynomial:
x^128-8*x^120-216*x^112+3936*x^104+29232*x^96+1087872*x^88-17010432*x^80-169\
519104*x^72+6083794176*x^64-678076416*x^56-272166912*x^48+69623808*x^40+7483\
392*x^32+4030464*x^24-884736*x^16-131072*x^8+65536
Common denominator of the automorphisms:
151827533424230400

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.