Finite Group Databasebeta

← Group #13143660

Character table — Group #13143660

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11222223333444444444444444444444666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636727272727272727272
order12234463366222244666666666121212121212669991212121218181866666666121212121818181818181818181818181818181818181818181818181818183636363636363636363636363636363636364412121212488121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ41111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111-1-11-11-11-1-1-1-111-1-11111-1-1111111111111-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-11-1-1-111-1-1
χ611111111111-1-11-11-11-1-1-1-111-1-11111-1-1111111111111-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ711111111111-1-1-11-111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-11-1-1-1-111
χ811111111111-1-1-11-111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11111-1-1
χ91111111−1−i32−1+i32−1−i32−1+i32111111111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ101111111−1−i32−1+i32−1−i32−1+i32111111111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-111111-1-1-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32
χ121111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-111111-1-1-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i32
χ131111111−1−i32−1+i32−1−i32−1+i32-1-11-11-11-1-1-1-111-1-11111-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i32
χ141111111−1−i32−1+i32−1−i32−1+i32-1-11-11-11-1-1-1-111-1-11111-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-11−1−i32−1+i321+i321−i32−1−i32−1+i32
χ151111111−1−i32−1+i32−1−i32−1+i32-1-1-11-111-1-1-1-1-1-11111-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i32
χ161111111−1−i32−1+i32−1−i32−1+i32-1-1-11-111-1-1-1-1-1-11111-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1−1−i32−1+i32−1−i32−1+i321+i321−i32
χ171111111−1+i32−1−i32−1+i32−1−i32111111111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ181111111−1+i32−1−i32−1+i32−1−i32111111111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-111111-1-1-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32
χ201111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-111111-1-1-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ211111111−1+i32−1−i32−1+i32−1−i32-1-11-11-11-1-1-1-111-1-11111-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i32
χ221111111−1+i32−1−i32−1+i32−1−i32-1-11-11-11-1-1-1-111-1-11111-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321-11−1+i32−1−i321−i321+i32−1+i32−1−i32
χ231111111−1+i32−1−i32−1+i32−1−i32-1-1-11-111-1-1-1-1-1-11111-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i32
χ241111111−1+i32−1−i32−1+i32−1−i32-1-1-11-111-1-1-1-1-1-11111-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1−1+i32−1−i32−1+i32−1−i321−i321+i32
χ252222222222222222222222222222222222-1-1-12222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ262222222222222-2-2-2-222222-2-2-2-222-2-2-2-222-1-1-12222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111000000000000000
χ2722222222222-2-22-22-22-2-2-2-222-2-22222-2-222-1-1-12222-1-1-1-2-2-2-222-2-222-2-2-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000
χ2822222222222-2-2-22-222-2-2-2-2-2-22222-2-22222-1-1-12222-1-1-1-2-2-2-2-2-222-2-222-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1000000000000000
χ292222222−1−i3−1+i3−1−i3−1+i3222222222222222222222−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000
χ302222222−1−i3−1+i3−1−i3−1+i322-2-2-2-222222-2-2-2-222-2-2-2-2−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i31+i31−i31+i31−i3-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ312222222−1−i3−1+i3−1−i3−1+i3-2-22-22-22-2-2-2-222-2-22222-2-2−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31−i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ322222222−1−i3−1+i3−1−i3−1+i3-2-2-22-222-2-2-2-2-2-22222-2-222−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31−i31−i31+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000000000
χ332222222−1+i3−1−i3−1+i3−1−i3222222222222222222222−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000
χ342222222−1+i3−1−i3−1+i3−1−i322-2-2-2-222222-2-2-2-222-2-2-2-2−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i31−i31+i31−i31+i3-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ352222222−1+i3−1−i3−1+i3−1−i3-2-22-22-22-2-2-2-222-2-22222-2-2−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31+i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ362222222−1+i3−1−i3−1+i3−1−i3-2-2-22-222-2-2-2-2-2-22222-2-222−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31+i31+i31−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000000000
χ372222-2-2222222-20000222-2-20000-2-2000022222-2-2-2-22222-22-20000000022222-2-222-2-222-2-2000000000000-2-2-2-2-2-2000000000000000000000000000
χ382222-2-2222222-20000222-2-20000-2-2000022-1-1-1-2-2-2-2-1-1-12-22-200000000-1-1-1-1-111-1-111-1-111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000
χ392222-2-2222222-20000222-2-20000-2-2000022-1-1-1-2-2-2-2-1-1-12-22-200000000-1-1-1-1-111-1-111-1-111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000
χ402222-2-222222-2200002-2-2220000-2-2000022222-2-2-2-2222-22-2200000000222-2-222-2-222-2-222000000000000-2-2-2-2-2-2000000000000000000000000000
χ412222-2-222222-2200002-2-2220000-2-2000022-1-1-1-2-2-2-2-1-1-1-22-2200000000-1-1-111-1-111-1-111-1-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3111111−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000000000000
χ422222-2-222222-2200002-2-2220000-2-2000022-1-1-1-2-2-2-2-1-1-1-22-2200000000-1-1-111-1-111-1-111-1-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3111111i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000000000000
χ432222-2-22−1−i3−1+i3−1−i3−1+i32-20000222-2-20000-2-20000−1−i3−1+i32−1−i3−1+i31+i31+i31−i31−i32−1−i3−1+i3−1−i31+i3−1+i31−i3000000002−1−i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000000000-2-21+i31+i31−i31−i3000000000000000000000000000
χ442222-2-22−1−i3−1+i3−1−i3−1+i32-20000222-2-20000-2-20000−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32−1−i31+i3−1+i31−i300000000-11+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32000000000000000
χ452222-2-22−1−i3−1+i3−1−i3−1+i32-20000222-2-20000-2-20000−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32−1−i31+i3−1+i31−i300000000-11+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32000000000000000
χ462222-2-22−1−i3−1+i3−1−i3−1+i3-2200002-2-2220000-2-20000−1−i3−1+i32−1−i3−1+i31+i31+i31−i31−i32−1−i3−1+i31+i3−1−i31−i3−1+i3000000002−1−i3−1+i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000-2-21+i31+i31−i31−i3000000000000000000000000000
χ472222-2-22−1−i3−1+i3−1−i3−1+i3-2200002-2-2220000-2-20000−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i321+i3−1−i31−i3−1+i300000000-11+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i3i3−3+i323−i323+i32−3−i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32−i3i3−3+i323−i323+i32−3−i32i3−i33−i32−3+i32−3−i323+i32000000000000000
χ482222-2-22−1−i3−1+i3−1−i3−1+i3-2200002-2-2220000-2-20000−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i321+i3−1−i31−i3−1+i300000000-11+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i3−i33−i32−3+i32−3−i323+i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32i3−i33−i32−3+i32−3−i323+i32−i3i3−3+i323−i323+i32−3−i32000000000000000
χ492222-2-22−1+i3−1−i3−1+i3−1−i32-20000222-2-20000-2-20000−1+i3−1−i32−1+i3−1−i31−i31−i31+i31+i32−1+i3−1−i3−1+i31−i3−1−i31+i3000000002−1+i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3000000000000-2-21−i31−i31+i31+i3000000000000000000000000000
χ502222-2-22−1+i3−1−i3−1+i3−1−i32-20000222-2-20000-2-20000−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32−1+i31−i3−1−i31+i300000000-11−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i3211−1+i32−1+i32−1−i32−1−i32−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i32000000000000000
χ512222-2-22−1+i3−1−i3−1+i3−1−i32-20000222-2-20000-2-20000−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32−1+i31−i3−1−i31+i300000000-11−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i3211−1+i32−1+i32−1−i32−1−i32i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32000000000000000
χ522222-2-22−1+i3−1−i3−1+i3−1−i3-2200002-2-2220000-2-20000−1+i3−1−i32−1+i3−1−i31−i31−i31+i31+i32−1+i3−1−i31−i3−1+i31+i3−1−i3000000002−1+i3−1−i3-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000-2-21−i31−i31+i31+i3000000000000000000000000000
χ532222-2-22−1+i3−1−i3−1+i3−1−i3-2200002-2-2220000-2-20000−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i321−i3−1+i31+i3−1−i300000000-11−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i3i33+i32−3−i32−3+i323−i32i3−i3−3−i323+i323−i32−3+i3211−1+i32−1+i32−1−i32−1−i32−i3i33+i32−3−i32−3+i323−i32i3−i3−3−i323+i323−i32−3+i32000000000000000
χ542222-2-22−1+i3−1−i3−1+i3−1−i3-2200002-2-2220000-2-20000−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i321−i3−1+i31+i3−1−i300000000-11−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i3−i3−3−i323+i323−i32−3+i32−i3i33+i32−3−i32−3+i323−i3211−1+i32−1+i32−1−i32−1−i32i3−i3−3−i323+i323−i32−3+i32−i3i33+i32−3−i32−3+i323−i32000000000000000
χ5522-222-22222200020-2-2000000222-200-2-2-2-22222-22-22220000002200-2-2-2-2-20000000000000000002222222-22-22-2000000-2-2-2-2-2-2000000000000000
χ5622-222-22222200020-2-2000000222-200-2-2-2-2-1-1-12-22-2-1-1-10000002200-2-2111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-1-1-1-1-1-1-11-11-11i3−i3i3−i3i3−i3111111000000000000000
χ5722-222-22222200020-2-2000000222-200-2-2-2-2-1-1-12-22-2-1-1-10000002200-2-2111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-1-1-1-1-1-1-11-11-11−i3i3−i3i3−i3i3111111000000000000000
χ5822-222-222222000-202-2000000-2-22-20022-2-22222-22-2222000000-2-20022-2-2-2000000000000000000-2-2-2-2-2-22-22-22-2000000222222000000000000000
χ5922-222-222222000-202-2000000-2-22-20022-2-2-1-1-12-22-2-1-1-1000000-2-20022111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3111111-11-11-11−i3i3−i3i3−i3i3-1-1-1-1-1-1000000000000000
χ6022-222-222222000-202-2000000-2-22-20022-2-2-1-1-12-22-2-1-1-1000000-2-20022111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3111111-11-11-11i3−i3i3−i3i3−i3-1-1-1-1-1-1000000000000000
χ6122-222-22−1−i3−1+i3−1−i3−1+i300020-2-2000000222-200-2-21+i31−i32−1−i3−1+i3−1−i31+i3−1+i31−i32−1−i3−1+i3000000−1−i3−1+i3001+i31−i3-21+i31−i300000000000000000022−1−i3−1−i3−1+i3−1+i32-2−1−i31+i3−1+i31−i3000000-2-21+i31+i31−i31−i3000000000000000
χ6222-222-22−1−i3−1+i3−1−i3−1+i300020-2-2000000222-200-2-21+i31−i3-11+i321−i32−1−i31+i3−1+i31−i3-11+i321−i32000000−1−i3−1+i3001+i31−i31−1−i32−1+i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32-1-11+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ6322-222-22−1−i3−1+i3−1−i3−1+i300020-2-2000000222-200-2-21+i31−i3-11+i321−i32−1−i31+i3−1+i31−i3-11+i321−i32000000−1−i3−1+i3001+i31−i31−1−i32−1+i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32-1-11+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ6422-222-22−1−i3−1+i3−1−i3−1+i3000-202-2000000-2-22-200221+i31−i32−1−i3−1+i3−1−i31+i3−1+i31−i32−1−i3−1+i30000001+i31−i300−1−i3−1+i3-21+i31−i3000000000000000000-2-21+i31+i31−i31−i32-2−1−i31+i3−1+i31−i300000022−1−i3−1−i3−1+i3−1+i3000000000000000
χ6522-222-22−1−i3−1+i3−1−i3−1+i3000-202-2000000-2-22-200221+i31−i3-11+i321−i32−1−i31+i3−1+i31−i3-11+i321−i320000001+i31−i300−1−i3−1+i31−1−i32−1+i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32−i3i3−3+i323−i323+i32−3−i32-1-11+i321+i321−i321−i32000000000000000
χ6622-222-22−1−i3−1+i3−1−i3−1+i3000-202-2000000-2-22-200221+i31−i3-11+i321−i32−1−i31+i3−1+i31−i3-11+i321−i320000001+i31−i300−1−i3−1+i31−1−i32−1+i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32i3−i33−i32−3+i32−3−i323+i32-1-11+i321+i321−i321−i32000000000000000
χ6722-222-22−1+i3−1−i3−1+i3−1−i300020-2-2000000222-200-2-21−i31+i32−1+i3−1−i3−1+i31−i3−1−i31+i32−1+i3−1−i3000000−1+i3−1−i3001−i31+i3-21−i31+i300000000000000000022−1+i3−1+i3−1−i3−1−i32-2−1+i31−i3−1−i31+i3000000-2-21−i31−i31+i31+i3000000000000000
χ6822-222-22−1+i3−1−i3−1+i3−1−i300020-2-2000000222-200-2-21−i31+i3-11−i321+i32−1+i31−i3−1−i31+i3-11−i321+i32000000−1+i3−1−i3001−i31+i31−1+i32−1−i32−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i32-1-11−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32i3−i3−3−i323+i323−i32−3+i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ6922-222-22−1+i3−1−i3−1+i3−1−i300020-2-2000000222-200-2-21−i31+i3-11−i321+i32−1+i31−i3−1−i31+i3-11−i321+i32000000−1+i3−1−i3001−i31+i31−1+i32−1−i32i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32-1-11−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32−i3i33+i32−3−i32−3+i323−i3211−1+i32−1+i32−1−i32−1−i32000000000000000
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χ11624-240-1200120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.