Group GAP4(64,120)
Name: C4 x Q16
Maximal quotients:GAP4(32,25) GAP4(32,41) GAP4(32,42)
Real polynomial:
x^64-448*x^62+95648*x^60-12951680*x^58+1248862300*x^56-91271685344*x^54+5254\
243793232*x^52-244443018386112*x^50+9356292779294650*x^48-298421704182688800\
*x^46+8004444180541824176*x^44-181722194216972604608*x^42+350702256903185613\
4288*x^40-57681081090279251265920*x^38+809342128966647874718400*x^36-9684056\
572083876043950336*x^34+98635677202646115280530243*x^32-85247248431279097015\
7111968*x^30+6222553497261230560532387440*x^28-38120149207979042187903057600\
*x^26+194387241656586163564886583888*x^24-816489739133770591856721197184*x^2\
2+2787580086412727154053663452224*x^20-7606180608171222098903934017280*x^18+\
16232544551353306342132745274650*x^16-26345138465376399888793481911136*x^14+\
31327444543405475064846950627728*x^12-25934813481478956030940364240448*x^10+\
13888529778183743483916873284380*x^8-4278095994555889867287968916000*x^6+587\
983629119585214679029482672*x^4-8785529930776967582486078016*x^2+20057435505\
551254244094241
Common denominator of the automorphisms:
2227100776584585658027924792020336840000
Complex polynomial:
x^64+448*x^62+95648*x^60+12951680*x^58+1248862300*x^56+91271685344*x^54+5254\
243793232*x^52+244443018386112*x^50+9356292779294650*x^48+298421704182688800\
*x^46+8004444180541824176*x^44+181722194216972604608*x^42+350702256903185613\
4288*x^40+57681081090279251265920*x^38+809342128966647874718400*x^36+9684056\
572083876043950336*x^34+98635677202646115280530243*x^32+85247248431279097015\
7111968*x^30+6222553497261230560532387440*x^28+38120149207979042187903057600\
*x^26+194387241656586163564886583888*x^24+816489739133770591856721197184*x^2\
2+2787580086412727154053663452224*x^20+7606180608171222098903934017280*x^18+\
16232544551353306342132745274650*x^16+26345138465376399888793481911136*x^14+\
31327444543405475064846950627728*x^12+25934813481478956030940364240448*x^10+\
13888529778183743483916873284380*x^8+4278095994555889867287968916000*x^6+587\
983629119585214679029482672*x^4+8785529930776967582486078016*x^2+20057435505\
551254244094241
Common denominator of the automorphisms:
2227100776584585658027924792020336840000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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