Group GAP4(64,54)

Name: Q64
Maximal quotient:GAP4(32,18)
Real polynomial:
x^64-2624*x^62+3056960*x^60-2105203712*x^58+963177658656*x^56-31218353826099\
2*x^54+74685301951312128*x^52-13572339116612820992*x^50+19137127129933516114\
24*x^48-212769988961221143637504*x^46+18887241329842880410213632*x^44-135156\
7911414114671605500928*x^42+78545192638934831172033669376*x^40-3727281659352\
759127982927400960*x^38+144984895354651974642022920921088*x^36-4633847862422\
748241618520173228032*x^34+121812004680266493148543518778193728*x^32-2632951\
047367726380885254138380003328*x^30+46721083510831389968500538391151638528*x\
^28-678635601751881165988004009007679815680*x^26+803416007190286049540915742\
7870986646528*x^24-77070875413718439274741232778783678201856*x^22+5945943128\
09551409646713020093382540009472*x^20-36546071497850969267729336224350880043\
49952*x^18+17688992730724328828368909446265770722067456*x^16-664681498251804\
12510874688925868051465977856*x^14+19051152192657477302189023393529702180311\
0400*x^12-407355340498426146018156416123941565408837632*x^10+631074034679217\
196776481096687904513994121216*x^8-67982517776157676425768471028740311315447\
8080*x^6+477665972106580123550162133531717551919464448*x^4-19475967177235965\
2960181189637532779717459968*x^2+3457119749266384897303240878318389606192025\
6
Common denominator of the automorphisms:
9565609270906323838807567517427286948757595291552624112928397716924491188272\
9003872215900782403920158758076665770850089182403786980917404562510529670055\
54905953816853049923324089283491207943494875826537785377254588416
Complex polynomial:
x^64+2624*x^62+3056960*x^60+2105203712*x^58+963177658656*x^56+31218353826099\
2*x^54+74685301951312128*x^52+13572339116612820992*x^50+19137127129933516114\
24*x^48+212769988961221143637504*x^46+18887241329842880410213632*x^44+135156\
7911414114671605500928*x^42+78545192638934831172033669376*x^40+3727281659352\
759127982927400960*x^38+144984895354651974642022920921088*x^36+4633847862422\
748241618520173228032*x^34+121812004680266493148543518778193728*x^32+2632951\
047367726380885254138380003328*x^30+46721083510831389968500538391151638528*x\
^28+678635601751881165988004009007679815680*x^26+803416007190286049540915742\
7870986646528*x^24+77070875413718439274741232778783678201856*x^22+5945943128\
09551409646713020093382540009472*x^20+36546071497850969267729336224350880043\
49952*x^18+17688992730724328828368909446265770722067456*x^16+664681498251804\
12510874688925868051465977856*x^14+19051152192657477302189023393529702180311\
0400*x^12+407355340498426146018156416123941565408837632*x^10+631074034679217\
196776481096687904513994121216*x^8+67982517776157676425768471028740311315447\
8080*x^6+477665972106580123550162133531717551919464448*x^4+19475967177235965\
2960181189637532779717459968*x^2+3457119749266384897303240878318389606192025\
6
Common denominator of the automorphisms:
9565609270906323838807567517427286948757595291552624112928397716924491188272\
9003872215900782403920158758076665770850089182403786980917404562510529670055\
54905953816853049923324089283491207943494875826537785377254588416

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.