Finite Group Databasebeta

← Group #136756

Character table — Group #136756

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order122244448888888822444444444488888888888816161616161616161616161616161616222444448888888888888888161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-111-111-1-1-1-111-1-1-1-11111−i−iiiiiii−i−i−i−i−i−iii−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11-1-11111-1-1-1-1-1-11111−i−iii−i−i−i−iiiii−i−iiiiiii−i−i−i−i
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiii
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii−i−i−i−iiiii
χ1411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-111-111-1-1-1-111-1-1-1-11111ii−i−i−i−i−i−iiiiiii−i−iiiii−i−i−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11-1-11111-1-1-1-1-1-11111ii−i−iiiii−i−i−i−iii−i−i−i−i−i−iiiii
χ1611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i
χ171111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61111-1-1-1-1i−iii−i−ii−i11-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ181111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ611-1-11-1-11−iiii−i−i−ii-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ191111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-111-111-1i−i−i−iiii−i-1-111−i−iii−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ201111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-1-1-11111−ii−i−iii−ii11-1-1ii−i−iζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ211111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61111-1-1-1-1i−iii−i−ii−i11-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ221111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ611-1-11-1-11−iiii−i−i−ii-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ231111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-111-111-1i−i−i−iiii−i-1-111−i−iiiζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ241111-1-1-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-1-1-11111−ii−i−iii−ii11-1-1ii−i−i−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ251111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21111-1-1-1-1−ii−i−iii−ii11-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ261111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ211-1-11-1-11i−i−i−iiii−i-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ271111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-111-111-1−iiii−i−i−ii-1-111ii−i−i−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ281111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-1-1-11111i−iii−i−ii−i11-1-1−i−iiiζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ291111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21111-1-1-1-1−ii−i−iii−ii11-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ301111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ211-1-11-1-11i−i−i−iiii−i-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ311111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-111-111-1−iiii−i−i−ii-1-111ii−i−iζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ321111-1-1-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-1-1-11111i−iii−i−ii−i11-1-1−i−iii−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ33222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ34222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000-22-22-22-22000000000000
χ352222222222222222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000222200000000-2-2-2-200000000
χ362222222222222222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000222200000000
χ372222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000002-2-2002-2-200002200000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000-22200-2220000-2-200000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000002i2i−2i−2i00000000−2i−2i2i2i00000000
χ4222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000−2i−2i2i2i000000002i2i−2i−2i00000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222220000000000000000002-2-2002220000-2-200000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222000000000000000000-22200-2-2-200002200000000000000000000000000000000
χ452222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ6000000000000
χ462222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ6000000000000
χ472222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000002ζ2−2ζ22ζ6−2ζ600000000−2ζ22ζ2−2ζ62ζ600000000
χ482222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000−2ζ22ζ2−2ζ62ζ6000000002ζ2−2ζ22ζ6−2ζ600000000
χ492222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-2-2222222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000002-2200-2−2i2i00002i−2i00000000000000000000000000000000
χ502222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-2-2222222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000-22-20022i−2i0000−2i2i00000000000000000000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ2000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ2000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000002ζ6−2ζ62ζ2−2ζ200000000−2ζ62ζ6−2ζ22ζ200000000
χ542222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000−2ζ62ζ6−2ζ22ζ2000000002ζ6−2ζ62ζ2−2ζ200000000
χ552222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-2-2222222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000002-2200-22i−2i0000−2i2i00000000000000000000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-2-2222222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000-22-2002−2i2i00002i−2i00000000000000000000000000000000
χ5722-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-22-22i−2i2i−2i2-22i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7
χ5822-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-22-22i−2i2i−2i2-22i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7
χ5922-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-2-22−2i2i2i−2i-22−2i2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000002-22i−2i2ζ2−2ζ22ζ6−2ζ6000000000000000000000000
χ6022-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-2-22−2i2i2i−2i-22−2i2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ600000000000000000000000000000000-22−2i2i−2ζ22ζ2−2ζ62ζ6000000000000000000000000
χ6122-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-222-22i−2i−2i2i-22−2i2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ600000000000000002-20002i−2i0002ζ2−2ζ22ζ6−2ζ60000000000000000000000000000000000
χ6222-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-222-22i−2i−2i2i-22−2i2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ60000000000000000-22000−2i2i000−2ζ22ζ2−2ζ62ζ60000000000000000000000000000000000
χ6322-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-22-22−2i2i−2i2i2-22i−2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ52ζ5−2ζ5−2ζ52ζ2ζ−2ζ−2ζ2ζ72ζ7−2ζ7−2ζ72ζ32ζ3−2ζ3−2ζ3000000000000000000000000000000000000000000000000
χ6422-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-22-22−2i2i−2i2i2-22i−2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ5−2ζ52ζ52ζ5−2ζ−2ζ2ζ2ζ−2ζ7−2ζ72ζ72ζ7−2ζ3−2ζ32ζ32ζ3000000000000000000000000000000000000000000000000
χ6522-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-22-22i−2i2i−2i2-22i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000000000000000000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3
χ6622-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-22-22i−2i2i−2i2-22i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600000000000000000000000000000000000000000000000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3
χ6722-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-2-22−2i2i2i−2i-22−2i2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000002-22i−2i−2ζ22ζ2−2ζ62ζ6000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.