Group GAP4(64,245)
Name: (C2 x C2) . (C2 x C2 x C2 x C2)
Maximal quotient:GAP4(32,50)
Real polynomial:
x^64-2520*x^62+2788800*x^60-1810128600*x^58+775929268800*x^56-23443816794300\
0*x^54+52025595269760000*x^52-8723261465592975000*x^50+112787511199055421750\
0*x^48-114148314653178016575000*x^46+9143059779159501699000000*x^44-58421868\
0929341525533375000*x^42+29941668655009570277847000000*x^40-1234862960642141\
101287069375000*x^38+41040277222958044872332940000000*x^36-10987769165979455\
48558915184375000*x^34+23651931389778505423076799002343750*x^32-407875696799\
035012000523716078125000*x^30+5605281388570470468598577854125000000*x^28-609\
44796471475046637698465132578125000*x^26+51924126954535939809645034728937500\
0000*x^24-3422538862259624419814687693098828125000*x^22+17156026838297632431\
863680332075000000000*x^20-63876067829514768439161695503845703125000*x^18+17\
0872748264351172401948422425647460937500*x^16-312857446975022825920935764032\
236328125000*x^14+364261381041127668708627056079140625000000*x^12-2405606981\
15562264774520640307861328125000*x^10+76178458181331825091360707041015625000\
000*x^8-8685535230620583951981397721923828125000*x^6+18414899668129448863008\
8367187500000000*x^4-588502989027769843315645751953125000*x^2+21828745883819\
3562060699462890625
Common denominator of the automorphisms:
1725733440252184390139605802851817009127055480051301896545059144770016161213\
0902699162705519972185343304922958170396408404125888576225303254260272379026\
218301331822776182730291439301817187500000000000
Complex polynomial:
x^64+2520*x^62+2788800*x^60+1810128600*x^58+775929268800*x^56+23443816794300\
0*x^54+52025595269760000*x^52+8723261465592975000*x^50+112787511199055421750\
0*x^48+114148314653178016575000*x^46+9143059779159501699000000*x^44+58421868\
0929341525533375000*x^42+29941668655009570277847000000*x^40+1234862960642141\
101287069375000*x^38+41040277222958044872332940000000*x^36+10987769165979455\
48558915184375000*x^34+23651931389778505423076799002343750*x^32+407875696799\
035012000523716078125000*x^30+5605281388570470468598577854125000000*x^28+609\
44796471475046637698465132578125000*x^26+51924126954535939809645034728937500\
0000*x^24+3422538862259624419814687693098828125000*x^22+17156026838297632431\
863680332075000000000*x^20+63876067829514768439161695503845703125000*x^18+17\
0872748264351172401948422425647460937500*x^16+312857446975022825920935764032\
236328125000*x^14+364261381041127668708627056079140625000000*x^12+2405606981\
15562264774520640307861328125000*x^10+76178458181331825091360707041015625000\
000*x^8+8685535230620583951981397721923828125000*x^6+18414899668129448863008\
8367187500000000*x^4+588502989027769843315645751953125000*x^2+21828745883819\
3562060699462890625
Common denominator of the automorphisms:
1725733440252184390139605802851817009127055480051301896545059144770016161213\
0902699162705519972185343304922958170396408404125888576225303254260272379026\
218301331822776182730291439301817187500000000000
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.