Finite Group Databasebeta

← Group #496859

Character table — Group #496859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order1222222244444444444444444444888888888888888822448888888816161616161616161616161616161616161616161616161616161616161616164444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ511111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111
χ811111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-111-1-1
χ91111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ101111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ171-11-11-11-11-1ii−i−i11-1-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-11-11-1i−ii−i
χ181-11-11-11-11-1ii−i−i11-1-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11-11-11−ii−ii
χ191-11-11-11-11-1ii−i−i11-1-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-111111-1−iii−i-111-1-11i−i−ii
χ201-11-11-11-11-1ii−i−i11-1-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-11i−i−ii1-1-111-1−iii−i
χ211-11-11-11-11-1ii−i−i-1-111−i−iiiii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-111111-1i−ii−i1-1-11-11−ii−ii
χ221-11-11-11-11-1ii−i−i-1-111−i−iiiii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11−ii−ii-111-11-1i−ii−i
χ231-11-11-11-11-1ii−i−i-1-111−i−iiiii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1−iii−i-11-111-1−iii−i
χ241-11-11-11-11-1ii−i−i-1-111−i−iiiii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11i−i−ii1-11-1-11i−i−ii
χ251-11-11-11-11-1−i−iii11-1-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-111111-1i−i−ii-111-1-11−iii−i
χ261-11-11-11-11-1−i−iii11-1-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-11−iii−i1-1-111-1i−i−ii
χ271-11-11-11-11-1−i−iii11-1-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-11-11-1−ii−ii
χ281-11-11-11-11-1−i−iii11-1-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11-11-11i−ii−i
χ291-11-11-11-11-1−i−iii-1-111ii−i−i−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1i−i−ii-11-111-1i−i−ii
χ301-11-11-11-11-1−i−iii-1-111ii−i−i−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11−iii−i1-11-1-11−iii−i
χ311-11-11-11-11-1−i−iii-1-111ii−i−i−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-111111-1−ii−ii1-1-11-11i−ii−i
χ321-11-11-11-11-1−i−iii-1-111ii−i−i−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11i−ii−i-111-11-1−ii−ii
χ332222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3422222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ352222222222-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2220000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ3822222222-2-222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-22200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ3922222222-2-22222-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-20000000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−2220000000000000000
χ4022222222-2-22222-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-200000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−20000000000000000
χ4122222222-2-2-2-2-2-2222222222222-2-20000000000000000-2-2-2-20000000022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ4222222222-2-2-2-2-2-2222222222222-2-20000000000000000-2-2-2-200000000−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000022220000000022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−20000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000222200000000−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−2220000000000000000
χ4522-2-2-2-2220000002i−2i2i−2i2i−2i2i−2i2-22-20022−2−222−2−222−2−222−2−20000i2−i2i2−i2i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000000000000000
χ4622-2-2-2-2220000002i−2i2i−2i2i−2i2i−2i2-22-20022−2−222−2−222−2−222−2−20000i2−i2i2−i2i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000000000000000
χ4722-2-2-2-2220000002i−2i2i−2i2i−2i2i−2i2-22-200−2−222−2−222−2−222−2−2220000−i2i2−i2i2−i2i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000000000000000
χ4822-2-2-2-2220000002i−2i2i−2i2i−2i2i−2i2-22-200−2−222−2−222−2−222−2−2220000−i2i2−i2i2−i2i2−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000000000000000
χ4922-2-2-2-2220000002i−2i2i−2i−2i2i−2i2i-22-220022−2−222−2−2−2−222−2−2220000−i2i2−i2i2i2−i2i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000000000000000
χ5022-2-2-2-2220000002i−2i2i−2i−2i2i−2i2i-22-220022−2−222−2−2−2−222−2−2220000−i2i2−i2i2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000000000000000
χ5122-2-2-2-2220000002i−2i2i−2i−2i2i−2i2i-22-2200−2−222−2−22222−2−222−2−20000i2−i2i2−i2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000000000000000
χ5222-2-2-2-2220000002i−2i2i−2i−2i2i−2i2i-22-2200−2−222−2−22222−2−222−2−20000i2−i2i2−i2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000000000000000
χ5322-2-2-2-222000000−2i2i−2i2i2i−2i2i−2i-22-220022−2−222−2−2−2−222−2−2220000i2−i2i2−i2−i2i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000000000000000
χ5422-2-2-2-222000000−2i2i−2i2i2i−2i2i−2i-22-220022−2−222−2−2−2−222−2−2220000i2−i2i2−i2−i2i2−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000000000000000
χ5522-2-2-2-222000000−2i2i−2i2i2i−2i2i−2i-22-2200−2−222−2−22222−2−222−2−20000−i2i2−i2i2i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000000000000000
χ5622-2-2-2-222000000−2i2i−2i2i2i−2i2i−2i-22-2200−2−222−2−22222−2−222−2−20000−i2i2−i2i2i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000000000000000
χ5722-2-2-2-222000000−2i2i−2i2i−2i2i−2i2i2-22-20022−2−222−2−222−2−222−2−20000−i2i2−i2i2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000000000000000
χ5822-2-2-2-222000000−2i2i−2i2i−2i2i−2i2i2-22-20022−2−222−2−222−2−222−2−20000−i2i2−i2i2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.