Finite Group Databasebeta

← Group #136621

Character table — Group #136621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order1222444488888888224444448888888844444488888816161616161616161616161616161616161616161616161624444488888816161616161616161616161616161616161616162488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-11111−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1111111-1-1-1-1ii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1111111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1111111-1-1-1-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ171111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-111-1-1ii−i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21-1ii−i−ii−i11-1-1ζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1i−i
χ181111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-111-1-1ii−i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21-1−i−iiii−i-1-111ζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11−ii
χ191111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-111-1-1ii−i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21-1−i−iiii−i-1-111−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11−ii
χ201111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-111-1-1ii−i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21-1ii−i−ii−i11-1-1−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1i−i
χ211111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-1-1-111−i−iiii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-11ii−i−i−ii11-1-1ζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11−ii
χ221111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-1-1-111−i−iiii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-11−i−iii−ii-1-111ζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1i−i
χ231111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-1-1-111−i−iiii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-11−i−iii−ii-1-111−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1i−i
χ241111-1-1-1-1iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-1-1-111−i−iiii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-11ii−i−i−ii11-1-1−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11−ii
χ251111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-111-1-1−i−iii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61-1−i−iii−ii11-1-1ζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1−ii
χ261111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-111-1-1−i−iii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61-1ii−i−i−ii-1-111ζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11i−i
χ271111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-111-1-1−i−iii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61-1ii−i−i−ii-1-111−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11i−i
χ281111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-111-1-1−i−iii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61-1−i−iii−ii11-1-1−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1−ii
χ291111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-1-1-111ii−i−i−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-11−i−iiii−i11-1-1ζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11i−i
χ301111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-1-1-111ii−i−i−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-11ii−i−ii−i-1-111ζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1−ii
χ311111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-1-1-111ii−i−i−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-11ii−i−ii−i-1-111−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1−ii
χ321111-1-1-1-1−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-1-1-111ii−i−i−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-11−i−iiii−i11-1-1−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11i−i
χ33222222222222222222-2-2-2-2222222-2-2-2-2-2-222222222-2-2000000000000000000000000-2-20000-2-20000000000000000000000000000
χ34222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000220000220000000000000000000000000000
χ352222222222222222-2-22222-2-2-2-2-2-22222-2-200000000-2-2222222220000000000000000000000000000-2-2-2-200000000000000000000
χ362222222222222222-2-22222-2-2-2-2-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-20000000000000000000000000000222200000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000002200000000000000000000000000000000000000002-22-22-22-2000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000220000000000000000000000000000000000000000-22-22-22-22000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-22222-2-2-2-222000000000000000000000000-2-20000220000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2222222000000000000000000000000220000-2-20000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-200000000222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i−2i2i2i00000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-20000000022−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i2i−2i−2i00000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000-2-200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000-2-20000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ452222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2200000000−2i2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000000000000000000000000000−2ζ22ζ2−2ζ62ζ600000000000000000000
χ462222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2200000000−2i2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600000000000000000000000000002ζ2−2ζ22ζ6−2ζ600000000000000000000
χ472222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2000000002i−2i00000000000000000000000000000000000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ6000000000000
χ482222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2000000002i−2i0000000000000000000000000000000000000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ6000000000000
χ492222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-222222i2i−2i−2i−2i−2i2i2i-2222-2-22i2i−2i−2i−2i2i000000000000000000000000-220000−2i2i0000000000000000000000000000
χ502222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-222222i2i−2i−2i−2i−2i2i2i-22-2-222−2i−2i2i2i−2i2i0000000000000000000000002-200002i−2i0000000000000000000000000000
χ512222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i-22000000002i−2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000000000000000000000000000−2ζ62ζ6−2ζ22ζ200000000000000000000
χ522222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i-22000000002i−2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200000000000000000000000000002ζ6−2ζ62ζ2−2ζ200000000000000000000
χ532222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i2-200000000−2i2i00000000000000000000000000000000000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ2000000000000
χ542222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i2-200000000−2i2i0000000000000000000000000000000000000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ2000000000000
χ552222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222−2i−2i2i2i2i2i−2i−2i-2222-2-2−2i−2i2i2i2i−2i000000000000000000000000-2200002i−2i0000000000000000000000000000
χ562222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222−2i−2i2i2i2i2i−2i−2i-22-2-2222i2i−2i−2i2i−2i0000000000000000000000002-20000−2i2i0000000000000000000000000000
χ5722-2-22i−2i2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6002-22i−2i0000002ζ2−2ζ22ζ6−2ζ60000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7001+i−1−i1−i−1+i002−2i2−i2000000000000000000000000
χ5822-2-22i−2i2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6002-22i−2i0000002ζ2−2ζ22ζ6−2ζ60000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700−1−i1+i−1+i1−i00−22−i2i2000000000000000000000000
χ5922-2-22i−2i2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6002-22i−2i0000002ζ2−2ζ22ζ6−2ζ6000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700−1−i1+i−1+i1−i00−22−i2i2000000000000000000000000
χ6022-2-22i−2i2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6002-22i−2i0000002ζ2−2ζ22ζ6−2ζ6000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7001+i−1−i1−i−1+i002−2i2−i2000000000000000000000000
χ6122-2-22i−2i2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6002-22i−2i000000−2ζ22ζ2−2ζ62ζ60000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1−i1+i−1+i1−i002−2i2−i2000000000000000000000000
χ6222-2-22i−2i2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6002-22i−2i000000−2ζ22ζ2−2ζ62ζ60000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001+i−1−i1−i−1+i00−22−i2i2000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.