Finite Group Databasebeta

← Group #10593119

Character table — Group #10593119

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111111111222222222222222222444444444444444444444444666666666666666666666666888888888888888888888888888888888888
order1222336666662222446666666612121212999999181818181818181818181818181818181818224444446666121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11111-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11111-1-1-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ7111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ8111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111-1-111-1-1-1-11111-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ9111111111111-1-111-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111-1-111-1-1-1-11111-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ10111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ11111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111-1-1-1-111111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ12111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111-1-1-1-111111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ131111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8ζζ4ζ7ζ2ζ5ζ811111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζζ4ζ4ζ7ζ7ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8ζ2ζ2ζ5ζ5ζ8ζ8ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8
χ141111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5ζ4ζ7ζζ8ζ2ζ511111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ7ζ7ζζζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5ζ8ζ8ζ2ζ2ζ5ζ5ζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5
χ151111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2ζ7ζζ4ζ5ζ8ζ211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζζζ4ζ4ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2ζ5ζ5ζ8ζ8ζ2ζ2ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2
χ161111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζζ4ζ7ζ2ζ5ζ8ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8ζζ4ζ7ζ2ζ5ζ8-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζζζ4ζ4ζ7ζ7−ζ−ζ−ζ4−ζ4−ζ7−ζ7ζ2ζ2ζ5ζ5ζ8ζ8−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8
χ171111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5ζ4ζ7ζζ8ζ2ζ5-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ4ζ4ζ7ζ7ζζ−ζ4−ζ4−ζ7−ζ7−ζ−ζζ8ζ8ζ2ζ2ζ5ζ5−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5
χ181111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2ζ7ζζ4ζ5ζ8ζ2-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ7ζ7ζζζ4ζ4−ζ7−ζ7−ζ−ζ−ζ4−ζ4ζ5ζ5ζ8ζ8ζ2ζ2−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2
χ191111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζζ4ζ7ζ2ζ5ζ8ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8ζζ4ζ7ζ2ζ5ζ8-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ−ζ−ζ4−ζ4−ζ7−ζ7ζζζ4ζ4ζ7ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8ζ2ζ2ζ5ζ5ζ8ζ8−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8
χ201111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5ζ4ζ7ζζ8ζ2ζ5-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ4−ζ4−ζ7−ζ7−ζ−ζζ4ζ4ζ7ζ7ζζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5ζ8ζ8ζ2ζ2ζ5ζ5−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5
χ211111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2ζ7ζζ4ζ5ζ8ζ2-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7−ζ−ζ−ζ4−ζ4ζ7ζ7ζζζ4ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2ζ5ζ5ζ8ζ8ζ2ζ2−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2
χ221111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8ζζ4ζ7ζ2ζ5ζ81111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8ζζζ4ζ4ζ7ζ7ζ2ζ2ζ5ζ5ζ8ζ8
χ231111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5ζ4ζ7ζζ8ζ2ζ51111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5ζ4ζ4ζ7ζ7ζζζ8ζ8ζ2ζ2ζ5ζ5
χ241111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2ζ7ζζ4ζ5ζ8ζ21111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2ζ7ζ7ζζζ4ζ4ζ5ζ5ζ8ζ8ζ2ζ2
χ251111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7ζ2ζ8ζ5ζ4ζζ711111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ8ζ8ζ5ζ5ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7ζ4ζ4ζζζ7ζ7ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7
χ261111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4ζ5ζ2ζ8ζζ7ζ411111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ2ζ2ζ8ζ8ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4ζζζ7ζ7ζ4ζ4ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4
χ271111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζζ8ζ5ζ2ζ7ζ4ζ11111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ5ζ5ζ2ζ2ζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζζ7ζ7ζ4ζ4ζζζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζ
χ281111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7ζ2ζ8ζ5ζ4ζζ7-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ2ζ2ζ8ζ8ζ5ζ5−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5ζ4ζ4ζζζ7ζ7−ζ4−ζ4−ζ−ζ−ζ7−ζ7−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7
χ291111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4ζ5ζ2ζ8ζζ7ζ4-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ5ζ5ζ2ζ2ζ8ζ8−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8ζζζ7ζ7ζ4ζ4−ζ−ζ−ζ7−ζ7−ζ4−ζ4−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4
χ301111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζζ8ζ5ζ2ζ7ζ4ζ-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ8ζ8ζ5ζ5ζ2ζ2−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2ζ7ζ7ζ4ζ4ζζ−ζ7−ζ7−ζ4−ζ4−ζ−ζ−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζ
χ311111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7ζ2ζ8ζ5ζ4ζζ7-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5ζ2ζ2ζ8ζ8ζ5ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7ζ4ζ4ζζζ7ζ7−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7
χ321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4ζ5ζ2ζ8ζζ7ζ4-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8ζ5ζ5ζ2ζ2ζ8ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4ζζζ7ζ7ζ4ζ4−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4
χ331111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζζ8ζ5ζ2ζ7ζ4ζ-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2ζ8ζ8ζ5ζ5ζ2ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζζ7ζ7ζ4ζ4ζζ−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζ
χ341111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7ζ2ζ8ζ5ζ4ζζ71111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7−ζ4−ζ4−ζ−ζ−ζ7−ζ7ζ2ζ2ζ8ζ8ζ5ζ5ζ4ζ4ζζζ7ζ7
χ351111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4ζ5ζ2ζ8ζζ7ζ41111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4−ζ−ζ−ζ7−ζ7−ζ4−ζ4ζ5ζ5ζ2ζ2ζ8ζ8ζζζ7ζ7ζ4ζ4
χ361111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζζ8ζ5ζ2ζ7ζ4ζ1111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζ−ζ7−ζ7−ζ4−ζ4−ζ−ζζ8ζ8ζ5ζ5ζ2ζ2ζ7ζ7ζ4ζ4ζζ
χ371-1-1111-1-1-1-1111-11-11-11-11-11-11-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ381-1-1111-1-1-1-1111-11-11-11-11-11-11-11-11-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11-11-11-11-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ391-1-1111-1-1-1-1111-11-11-11-11-11-11-11-11-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11-11-11-11-11-11-11-11-11-11-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ401-1-1111-1-1-1-1111-1-11-111-11-1-11-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11-1-11-11-111-11-11-11-1-11-111-11-11-1-11-11-111-11-11-1-11-11-11-11-11-11-11-11-11
χ411-1-1111-1-1-1-1111-1-11-111-11-1-11-11-11-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111-11-1-11-11-111-11-11-11-1-11-11−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ421-1-1111-1-1-1-1111-1-11-111-11-1-11-11-11-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111-11-1-11-11-111-11-11-11-1-11-11−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ431-1-1111-1-1-1-111-111-1-11-11-111-11-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-11-111-11-1-11-111-11-1-11-11-111-11-11-1-11-11-111-11-11-1-11-11-11-11-11-11
χ441-1-1111-1-1-1-111-111-1-11-11-111-11-1-11-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111-1-111-1-11-111-11-1-11-111-11-11−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ451-1-1111-1-1-1-111-111-1-11-11-111-11-1-11-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111-1-111-1-11-111-11-1-11-111-11-11+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ461-1-1111-1-1-1-111-11-111-1-11-11-11-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-11-111-11-11-11-1-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-111-11-11-11-11-11-1
χ471-1-1111-1-1-1-111-11-111-1-11-11-11-111-11-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11-1-11-111-11-11-11-1-11-11-11-111−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ481-1-1111-1-1-1-111-11-111-1-11-11-11-111-11-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11-1-11-111-11-11-11-1-11-11-11-111+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ491-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8ζζ4ζ7ζ2ζ5ζ81-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζ−ζζ4−ζ4ζ7−ζ7ζ−ζζ4−ζ4ζ7−ζ7ζ2−ζ2ζ5−ζ5ζ8−ζ8ζ2−ζ2ζ5−ζ5ζ8−ζ8ζ−ζζ4−ζ4ζ7−ζ7ζ2−ζ2ζ5−ζ5ζ8−ζ8
χ501-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5ζ4ζ7ζζ8ζ2ζ51-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζ4−ζ4ζ7−ζ7ζ−ζζ4−ζ4ζ7−ζ7ζ−ζζ8−ζ8ζ2−ζ2ζ5−ζ5ζ8−ζ8ζ2−ζ2ζ5−ζ5ζ4−ζ4ζ7−ζ7ζ−ζζ8−ζ8ζ2−ζ2ζ5−ζ5
χ511-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2ζ7ζζ4ζ5ζ8ζ21-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζ7−ζ7ζ−ζζ4−ζ4ζ7−ζ7ζ−ζζ4−ζ4ζ5−ζ5ζ8−ζ8ζ2−ζ2ζ5−ζ5ζ8−ζ8ζ2−ζ2ζ7−ζ7ζ−ζζ4−ζ4ζ5−ζ5ζ8−ζ8ζ2−ζ2
χ521-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8ζζ4ζ7ζ2ζ5ζ8-111-11-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζ−ζζ4−ζ4ζ7−ζ7−ζζ−ζ4ζ4−ζ7ζ7ζ2−ζ2ζ5−ζ5ζ8−ζ8−ζ2ζ2−ζ5ζ5−ζ8ζ8−ζζ−ζ4ζ4−ζ7ζ7−ζ2ζ2−ζ5ζ5−ζ8ζ8
χ531-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5ζ4ζ7ζζ8ζ2ζ5-111-11-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζ4−ζ4ζ7−ζ7ζ−ζ−ζ4ζ4−ζ7ζ7−ζζζ8−ζ8ζ2−ζ2ζ5−ζ5−ζ8ζ8−ζ2ζ2−ζ5ζ5−ζ4ζ4−ζ7ζ7−ζζ−ζ8ζ8−ζ2ζ2−ζ5ζ5
χ541-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2ζ7ζζ4ζ5ζ8ζ2-111-11-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζ7−ζ7ζ−ζζ4−ζ4−ζ7ζ7−ζζ−ζ4ζ4ζ5−ζ5ζ8−ζ8ζ2−ζ2−ζ5ζ5−ζ8ζ8−ζ2ζ2−ζ7ζ7−ζζ−ζ4ζ4−ζ5ζ5−ζ8ζ8−ζ2ζ2
χ551-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-111-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8ζζ4ζ7ζ2ζ5ζ8-111-1-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−ζζ−ζ4ζ4−ζ7ζ7ζ−ζζ4−ζ4ζ7−ζ7−ζ2ζ2−ζ5ζ5−ζ8ζ8ζ2−ζ2ζ5−ζ5ζ8−ζ8−ζζ−ζ4ζ4−ζ7ζ7−ζ2ζ2−ζ5ζ5−ζ8ζ8
χ561-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-111-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5ζ4ζ7ζζ8ζ2ζ5-111-1-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−ζ4ζ4−ζ7ζ7−ζζζ4−ζ4ζ7−ζ7ζ−ζ−ζ8ζ8−ζ2ζ2−ζ5ζ5ζ8−ζ8ζ2−ζ2ζ5−ζ5−ζ4ζ4−ζ7ζ7−ζζ−ζ8ζ8−ζ2ζ2−ζ5ζ5
χ571-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-111-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2ζ7ζζ4ζ5ζ8ζ2-111-1-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−ζ7ζ7−ζζ−ζ4ζ4ζ7−ζ7ζ−ζζ4−ζ4−ζ5ζ5−ζ8ζ8−ζ2ζ2ζ5−ζ5ζ8−ζ8ζ2−ζ2−ζ7ζ7−ζζ−ζ4ζ4−ζ5ζ5−ζ8ζ8−ζ2ζ2
χ581-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11-111-11−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ−ζ4−ζ4−ζ7−ζ7−ζ2−ζ2−ζ5−ζ5−ζ8−ζ8ζζ4ζ7ζ2ζ5ζ81-11-1-11-11−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−ζζ−ζ4ζ4−ζ7ζ7−ζζ−ζ4ζ4−ζ7ζ7−ζ2ζ2−ζ5ζ5−ζ8ζ8−ζ2ζ2−ζ5ζ5−ζ8ζ8ζ−ζζ4−ζ4ζ7−ζ7ζ2−ζ2ζ5−ζ5ζ8−ζ8
χ591-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11-111-11−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ4−ζ7−ζ7−ζ−ζ−ζ8−ζ8−ζ2−ζ2−ζ5−ζ5ζ4ζ7ζζ8ζ2ζ51-11-1-11-11−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−ζ4ζ4−ζ7ζ7−ζζ−ζ4ζ4−ζ7ζ7−ζζ−ζ8ζ8−ζ2ζ2−ζ5ζ5−ζ8ζ8−ζ2ζ2−ζ5ζ5ζ4−ζ4ζ7−ζ7ζ−ζζ8−ζ8ζ2−ζ2ζ5−ζ5
χ601-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11-111-11−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ7−ζ−ζ−ζ4−ζ4−ζ5−ζ5−ζ8−ζ8−ζ2−ζ2ζ7ζζ4ζ5ζ8ζ21-11-1-11-11−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−ζ7ζ7−ζζ−ζ4ζ4−ζ7ζ7−ζζ−ζ4ζ4−ζ5ζ5−ζ8ζ8−ζ2ζ2−ζ5ζ5−ζ8ζ8−ζ2ζ2ζ7−ζ7ζ−ζζ4−ζ4ζ5−ζ5ζ8−ζ8ζ2−ζ2
χ611-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7ζ2ζ8ζ5ζ4ζζ71-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ2−ζ2ζ8−ζ8ζ5−ζ5ζ2−ζ2ζ8−ζ8ζ5−ζ5ζ4−ζ4ζ−ζζ7−ζ7ζ4−ζ4ζ−ζζ7−ζ7ζ2−ζ2ζ8−ζ8ζ5−ζ5ζ4−ζ4ζ−ζζ7−ζ7
χ621-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4ζ5ζ2ζ8ζζ7ζ41-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ5−ζ5ζ2−ζ2ζ8−ζ8ζ5−ζ5ζ2−ζ2ζ8−ζ8ζ−ζζ7−ζ7ζ4−ζ4ζ−ζζ7−ζ7ζ4−ζ4ζ5−ζ5ζ2−ζ2ζ8−ζ8ζ−ζζ7−ζ7ζ4−ζ4
χ631-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζζ8ζ5ζ2ζ7ζ4ζ1-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ8−ζ8ζ5−ζ5ζ2−ζ2ζ8−ζ8ζ5−ζ5ζ2−ζ2ζ7−ζ7ζ4−ζ4ζ−ζζ7−ζ7ζ4−ζ4ζ−ζζ8−ζ8ζ5−ζ5ζ2−ζ2ζ7−ζ7ζ4−ζ4ζ−ζ
χ641-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7ζ2ζ8ζ5ζ4ζζ7-111-11-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ2−ζ2ζ8−ζ8ζ5−ζ5−ζ2ζ2−ζ8ζ8−ζ5ζ5ζ4−ζ4ζ−ζζ7−ζ7−ζ4ζ4−ζζ−ζ7ζ7−ζ2ζ2−ζ8ζ8−ζ5ζ5−ζ4ζ4−ζζ−ζ7ζ7
χ651-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4ζ5ζ2ζ8ζζ7ζ4-111-11-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ5−ζ5ζ2−ζ2ζ8−ζ8−ζ5ζ5−ζ2ζ2−ζ8ζ8ζ−ζζ7−ζ7ζ4−ζ4−ζζ−ζ7ζ7−ζ4ζ4−ζ5ζ5−ζ2ζ2−ζ8ζ8−ζζ−ζ7ζ7−ζ4ζ4
χ661-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζζ8ζ5ζ2ζ7ζ4ζ-111-11-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ8−ζ8ζ5−ζ5ζ2−ζ2−ζ8ζ8−ζ5ζ5−ζ2ζ2ζ7−ζ7ζ4−ζ4ζ−ζ−ζ7ζ7−ζ4ζ4−ζζ−ζ8ζ8−ζ5ζ5−ζ2ζ2−ζ7ζ7−ζ4ζ4−ζζ
χ671-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-111-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7ζ2ζ8ζ5ζ4ζζ7-111-1-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−ζ2ζ2−ζ8ζ8−ζ5ζ5ζ2−ζ2ζ8−ζ8ζ5−ζ5−ζ4ζ4−ζζ−ζ7ζ7ζ4−ζ4ζ−ζζ7−ζ7−ζ2ζ2−ζ8ζ8−ζ5ζ5−ζ4ζ4−ζζ−ζ7ζ7
χ681-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-111-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4ζ5ζ2ζ8ζζ7ζ4-111-1-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−ζ5ζ5−ζ2ζ2−ζ8ζ8ζ5−ζ5ζ2−ζ2ζ8−ζ8−ζζ−ζ7ζ7−ζ4ζ4ζ−ζζ7−ζ7ζ4−ζ4−ζ5ζ5−ζ2ζ2−ζ8ζ8−ζζ−ζ7ζ7−ζ4ζ4
χ691-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-111-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζζ8ζ5ζ2ζ7ζ4ζ-111-1-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−ζ8ζ8−ζ5ζ5−ζ2ζ2ζ8−ζ8ζ5−ζ5ζ2−ζ2−ζ7ζ7−ζ4ζ4−ζζζ7−ζ7ζ4−ζ4ζ−ζ−ζ8ζ8−ζ5ζ5−ζ2ζ2−ζ7ζ7−ζ4ζ4−ζζ
χ701-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11-111-11+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ2−ζ8−ζ8−ζ5−ζ5−ζ4−ζ4−ζ−ζ−ζ7−ζ7ζ2ζ8ζ5ζ4ζζ71-11-1-11-11−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−ζ2ζ2−ζ8ζ8−ζ5ζ5−ζ2ζ2−ζ8ζ8−ζ5ζ5−ζ4ζ4−ζζ−ζ7ζ7−ζ4ζ4−ζζ−ζ7ζ7ζ2−ζ2ζ8−ζ8ζ5−ζ5ζ4−ζ4ζ−ζζ7−ζ7
χ711-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11-111-11+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ5−ζ2−ζ2−ζ8−ζ8−ζ−ζ−ζ7−ζ7−ζ4−ζ4ζ5ζ2ζ8ζζ7ζ41-11-1-11-11−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−ζ5ζ5−ζ2ζ2−ζ8ζ8−ζ5ζ5−ζ2ζ2−ζ8ζ8−ζζ−ζ7ζ7−ζ4ζ4−ζζ−ζ7ζ7−ζ4ζ4ζ5−ζ5ζ2−ζ2ζ8−ζ8ζ−ζζ7−ζ7ζ4−ζ4
χ721-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11-111-11+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ8−ζ5−ζ5−ζ2−ζ2−ζ7−ζ7−ζ4−ζ4−ζ−ζζ8ζ5ζ2ζ7ζ4ζ1-11-1-11-11−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−ζ8ζ8−ζ5ζ5−ζ2ζ2−ζ8ζ8−ζ5ζ5−ζ2ζ2−ζ7ζ7−ζ4ζ4−ζζ−ζ7ζ7−ζ4ζ4−ζζζ8−ζ8ζ5−ζ5ζ2−ζ2ζ7−ζ7ζ4−ζ4ζ−ζ
χ73333333333333333333333333333333000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ7433333333333333-3-3-3-33333-3-3-3-3-3-3-3-300000000000000000000000011-1-1-1-1111111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ75333333333333-3-333-3-3-3-3-3-33333-3-3-3-300000000000000000000000011-1-111-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ76333333333333-3-3-3-333-3-3-3-3-3-3-3-33333000000000000000000000000-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000
χ773333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32000000000000000000000000-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32000000000000000000000000000000000000
χ783333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3+3i32−3−3i32−3−3i323−3i323−3i323+3i323+3i323−3i323−3i323+3i323+3i3200000000000000000000000011-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000000000000000000000000000000000
χ793333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323−3i323+3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323−3i323+3i323+3i3200000000000000000000000011-1-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000000000000000000000000000000000
χ803333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323−3i323+3i323+3i323−3i323−3i323+3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i32000000000000000000000000-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32000000000000000000000000000000000000
χ813333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32000000000000000000000000-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32000000000000000000000000000000000000
χ823333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3−3i32−3+3i32−3+3i323+3i323+3i323−3i323−3i323+3i323+3i323−3i323−3i3200000000000000000000000011-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000
χ833333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323+3i323−3i323−3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323+3i323−3i323−3i3200000000000000000000000011-1-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000000000000000000000000000000000
χ843333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32-3-3-3-3333+3i323+3i323−3i323−3i323+3i323+3i323−3i323−3i32−3−3i32−3−3i32−3+3i32−3+3i32000000000000000000000000-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000
χ853-3-3333-3-3-3-3333-33-33-33-33-33-33-33-33-3000000000000000000000000-11-11-11-11-11-11-11-11-11-11-11-11000000000000000000000000000000000000
χ863-3-3333-3-3-3-3333-3-33-333-33-3-33-33-33-330000000000000000000000001-1-11-111-11-11-1-11-11-11-111-11-1000000000000000000000000000000000000
χ873-3-3333-3-3-3-333-333-3-33-33-333-33-3-33-330000000000000000000000001-1-111-1-111-11-1-11-111-11-1-11-11000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.