Group GAP4(64,15)
Name: C8 : C8
Maximal quotients:GAP4(32,12) GAP4(32,13) GAP4(32,15)
Real polynomial:
x^64-384*x^62+68544*x^60-7561728*x^58+578261808*x^56-32591579904*x^54+140537\
2622976*x^52-47512464565248*x^50+1280493262912752*x^48-27827345029824000*x^4\
6+491429949788876544*x^44-7087754838399215616*x^42+83716072149816440640*x^40\
-810482273553700150272*x^38+6426455950288071479808*x^36-41636990261979831619\
584*x^34+219583668876212491931232*x^32-937575731232812848859136*x^30+3218670\
567686774210761728*x^28-8806929861525479681974272*x^26+190008478719894384645\
78816*x^24-31895512251793700350464000*x^22+40964591399304933854042112*x^20-3\
9392589622845795137667072*x^18+27557768111606890957299456*x^16-1347675295524\
4172679487488*x^14+4345731465044086030454784*x^12-841163434711727203123200*x\
^10+81933452965875216559104*x^8-2596816523979432345600*x^6+31404887122036875\
264*x^4-129565114719731712*x^2+72301961339136
Common denominator of the automorphisms:
5568806134609013999731457707625228917932416099366545915039292801675879063224\
32
Complex polynomial:
x^64+384*x^62+68544*x^60+7561728*x^58+578261808*x^56+32591579904*x^54+140537\
2622976*x^52+47512464565248*x^50+1280493262912752*x^48+27827345029824000*x^4\
6+491429949788876544*x^44+7087754838399215616*x^42+83716072149816440640*x^40\
+810482273553700150272*x^38+6426455950288071479808*x^36+41636990261979831619\
584*x^34+219583668876212491931232*x^32+937575731232812848859136*x^30+3218670\
567686774210761728*x^28+8806929861525479681974272*x^26+190008478719894384645\
78816*x^24+31895512251793700350464000*x^22+40964591399304933854042112*x^20+3\
9392589622845795137667072*x^18+27557768111606890957299456*x^16+1347675295524\
4172679487488*x^14+4345731465044086030454784*x^12+841163434711727203123200*x\
^10+81933452965875216559104*x^8+2596816523979432345600*x^6+31404887122036875\
264*x^4+129565114719731712*x^2+72301961339136
Common denominator of the automorphisms:
5568806134609013999731457707625228917932416099366545915039292801675879063224\
32
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.