Finite Group Databasebeta

← Group #13143662

Character table — Group #13143662

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11222223333444444444444444444444666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636727272727272727272
order122223633662224446666666661212121212126666669991818186666661212121212121818181818181818181818181818181818181818181818181818183636363636363636363636363636363636364412121212444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-11-1-111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ4111111111111-1-11-1-111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111-11-1-11-1111-1-111-1-1-1-111-1-1111111111111-1-111-1-1-1-111-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-1-1-111-1-1
χ611111111111-11-1-11-1111-1-111-1-1-1-111-1-1111111111111-1-111-1-1-1-111-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ711111111111-1-11-1-11111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-111
χ811111111111-1-11-1-11111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11111-1-1
χ91111111−1−i32−1+i32−1−i32−1+i32111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32111−1−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+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−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32111−1−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+i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-111111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32111−1−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−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+i321-1-11-1-111111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32111−1−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−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+i32-11-1-11-1111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32111−1−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+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+i32-11-1-11-1111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32111−1−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+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+i32-1-11-1-11111-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32111−1−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+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+i32-1-11-1-11111-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32111−1−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+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+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32111−1+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−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+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32111−1+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−i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i321-1-11-1-111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32111−1+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+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−i321-1-11-1-111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32111−1+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+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−i32-11-1-11-1111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32111−1+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−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−i32-11-1-11-1111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32111−1+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−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−i32-1-11-1-11111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32111−1+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−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−i32-1-11-1-11111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32111−1+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−i32-1-11−i321−i321+i321+i3211-1−1+i32−1−i32−1+i32−1−i321−i321+i32
χ2522222222222222222222222222222222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ26222222222222-2-22-2-222222-2-2-2-222-2-2-2-2222222-1-1-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111000000000000000
χ2722222222222-22-2-22-2222-2-222-2-2-2-222-2-2222222-1-1-1-1-1-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111000000000000000
χ2822222222222-2-22-2-22222-2-2-2-222-2-2-2-222222222-1-1-1-1-1-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1000000000000000
χ292222222−1−i3−1+i3−1−i3−1+i3222222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+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+i3-1-1-11+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−i32-1-11+i321+i321−i321−i32000000000000000
χ302222222−1−i3−1+i3−1−i3−1+i32-2-22-2-222222-2-2-2-222-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i31+i31−i31+i31−i3-1-1-11+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+i32000000000000000
χ312222222−1−i3−1+i3−1−i3−1+i3-22-2-22-2222-2-222-2-2-2-222-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i321+i31−i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i31+i31−i3-1-1-11+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+i32000000000000000
χ322222222−1−i3−1+i3−1−i3−1+i3-2-22-2-22222-2-2-2-222-2-2-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i321+i31−i31+i31−i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3-1-1-11+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+i32-1-11+i321+i321−i321−i32000000000000000
χ332222222−1+i3−1−i3−1+i3−1−i3222222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−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−i3-1-1-11−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+i32-1-11−i321−i321+i321+i32000000000000000
χ342222222−1+i3−1−i3−1+i3−1−i32-2-22-2-222222-2-2-2-222-2-2-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i31−i31+i31−i31+i3-1-1-11−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−i32000000000000000
χ352222222−1+i3−1−i3−1+i3−1−i3-22-2-22-2222-2-222-2-2-2-222-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i321−i31+i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i31−i31+i3-1-1-11−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−i32000000000000000
χ362222222−1+i3−1−i3−1+i3−1−i3-2-22-2-22222-2-2-2-222-2-2-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i321−i31+i31−i31+i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3-1-1-11−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−i32-1-11−i321−i321+i321+i32000000000000000
χ37222-2-222222200200-22-2-20000220000-2-22-2-22-2-22222220000220000-2-22-2-22-2-22-2-2000000000000222222000000000000-2-2-2-2-2-2000000000000000
χ38222-2-222222200200-22-2-20000220000-2-22-2-22-2-2-1-1-1-1-1-10000220000-2-2-111-111-111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-1-1-1-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3111111000000000000000
χ39222-2-222222200200-22-2-20000220000-2-22-2-22-2-2-1-1-1-1-1-10000220000-2-2-111-111-111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-1-1-1-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3111111000000000000000
χ40222-2-222222200-20022-2-20000-2-20000222-2-22-2-22222220000-2-20000222-2-22-2-22-2-2000000000000-2-2-2-2-2-2000000000000222222000000000000000
χ41222-2-222222200-20022-2-20000-2-20000222-2-22-2-2-1-1-1-1-1-10000-2-2000022-111-111-111−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3111111−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-1-1-1-1-1-1000000000000000
χ42222-2-222222200-20022-2-20000-2-20000222-2-22-2-2-1-1-1-1-1-10000-2-2000022-111-111-111i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3111111i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-1-1-1-1-1-1000000000000000
χ43222-2-222−1−i3−1+i3−1−i3−1+i300200-22-2-20000220000-2-2−1−i31+i31+i3−1+i31−i31−i32−1−i3−1+i32−1−i3−1+i30000−1−i3−1+i300001+i31−i32-2-2−1−i31+i31+i3−1+i31−i31−i300000000000022−1−i3−1−i3−1+i3−1+i3000000000000-2-21+i31+i31−i31−i3000000000000000
χ44222-2-222−1−i3−1+i3−1−i3−1+i300200-22-2-20000220000-2-2−1−i31+i31+i3−1+i31−i31−i3-11+i321−i32-11+i321−i320000−1−i3−1+i300001+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32-1-11+i321+i321−i321−i32−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ45222-2-222−1−i3−1+i3−1−i3−1+i300200-22-2-20000220000-2-2−1−i31+i31+i3−1+i31−i31−i3-11+i321−i32-11+i321−i320000−1−i3−1+i300001+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i32i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32-1-11+i321+i321−i321−i32i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ46222-2-222−1−i3−1+i3−1−i3−1+i300-20022-2-20000-2-2000022−1−i31+i31+i3−1+i31−i31−i32−1−i3−1+i32−1−i3−1+i300001+i31−i30000−1−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i3000000000000-2-21+i31+i31−i31−i300000000000022−1−i3−1−i3−1+i3−1+i3000000000000000
χ47222-2-222−1−i3−1+i3−1−i3−1+i300-20022-2-20000-2-2000022−1−i31+i31+i3−1+i31−i31−i3-11+i321−i32-11+i321−i3200001+i31−i30000−1−i3−1+i3-1111+i32−1−i32−1−i321−i32−1+i32−1+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+i32-1-11+i321+i321−i321−i32000000000000000
χ48222-2-222−1−i3−1+i3−1−i3−1+i300-20022-2-20000-2-2000022−1−i31+i31+i3−1+i31−i31−i3-11+i321−i32-11+i321−i3200001+i31−i30000−1−i3−1+i3-1111+i32−1−i32−1−i321−i32−1+i32−1+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−i32-1-11+i321+i321−i321−i32000000000000000
χ49222-2-222−1+i3−1−i3−1+i3−1−i300200-22-2-20000220000-2-2−1+i31−i31−i3−1−i31+i31+i32−1+i3−1−i32−1+i3−1−i30000−1+i3−1−i300001−i31+i32-2-2−1+i31−i31−i3−1−i31+i31+i300000000000022−1+i3−1+i3−1−i3−1−i3000000000000-2-21−i31−i31+i31+i3000000000000000
χ50222-2-222−1+i3−1−i3−1+i3−1−i300200-22-2-20000220000-2-2−1+i31−i31−i3−1−i31+i31+i3-11−i321+i32-11−i321+i320000−1+i3−1−i300001−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i32-1-11−i321−i321+i321+i32−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ51222-2-222−1+i3−1−i3−1+i3−1−i300200-22-2-20000220000-2-2−1+i31−i31−i3−1−i31+i31+i3-11−i321+i32-11−i321+i320000−1+i3−1−i300001−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i32i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32-1-11−i321−i321+i321+i32i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ52222-2-222−1+i3−1−i3−1+i3−1−i300-20022-2-20000-2-2000022−1+i31−i31−i3−1−i31+i31+i32−1+i3−1−i32−1+i3−1−i300001−i31+i30000−1+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i3000000000000-2-21−i31−i31+i31+i300000000000022−1+i3−1+i3−1−i3−1−i3000000000000000
χ53222-2-222−1+i3−1−i3−1+i3−1−i300-20022-2-20000-2-2000022−1+i31−i31−i3−1−i31+i31+i3-11−i321+i32-11−i321+i3200001−i31+i30000−1+i3−1−i3-1111−i32−1+i32−1+i321+i32−1−i32−1−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+i32-1-11−i321−i321+i321+i32000000000000000
χ54222-2-222−1+i3−1−i3−1+i3−1−i300-20022-2-20000-2-2000022−1+i31−i31−i3−1−i31+i31+i3-11−i321+i32-11−i321+i3200001−i31+i30000−1+i3−1−i3-1111−i32−1+i32−1+i321+i32−1−i32−1−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−i32-1-11−i321−i321+i321+i32000000000000000
χ5522-22-22222220200-20-22-200220000-2-200-22-2-22-222222200220000-2-200-22-2-22-2-22-2000000222222000000000000-2-2-2-2-2-2000000000000000000000
χ5622-22-22222220200-20-22-200220000-2-200-22-2-22-2-1-1-1-1-1-100220000-2-2001-111-111-11−i3i3−i3i3−i3i3-1-1-1-1-1-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3111111−i3i3−i3i3−i3i3000000000000000
χ5722-22-22222220200-20-22-200220000-2-200-22-2-22-2-1-1-1-1-1-100220000-2-2001-111-111-11i3−i3i3−i3i3−i3-1-1-1-1-1-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3111111i3−i3i3−i3i3−i3000000000000000
χ5822-22-22222220-20020-22-200-2-200002200-22-2-22-222222200-2-200002200-22-2-22-2-22-2000000-2-2-2-2-2-2000000000000222222000000000000000000000
χ5922-22-22222220-20020-22-200-2-200002200-22-2-22-2-1-1-1-1-1-100-2-2000022001-111-111-11−i3i3−i3i3−i3i3111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-1-1-1-1-1-1i3−i3i3−i3i3−i3000000000000000
χ6022-22-22222220-20020-22-200-2-200002200-22-2-22-2-1-1-1-1-1-100-2-2000022001-111-111-11i3−i3i3−i3i3−i3111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-1-1-1-1-1-1−i3i3−i3i3−i3i3000000000000000
χ6122-22-222−1−i3−1+i3−1−i3−1+i30200-20-22-200220000-2-2001+i3−1−i31+i31−i3−1+i31−i32−1−i3−1+i32−1−i3−1+i300−1−i3−1+i300001+i31−i300-22-21+i3−1−i31+i31−i3−1+i31−i300000022−1−i3−1−i3−1+i3−1+i3000000000000-2-21+i31+i31−i31−i3000000000000000000000
χ6222-22-222−1−i3−1+i3−1−i3−1+i30200-20-22-200220000-2-2001+i3−1−i31+i31−i3−1+i31−i3-11+i321−i32-11+i321−i3200−1−i3−1+i300001+i31−i3001-11−1−i321+i32−1−i32−1+i321−i32−1+i32−i3i3−3+i323−i323+i32−3−i32-1-11+i321+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−i32000000000000000
χ6322-22-222−1−i3−1+i3−1−i3−1+i30200-20-22-200220000-2-2001+i3−1−i31+i31−i3−1+i31−i3-11+i321−i32-11+i321−i3200−1−i3−1+i300001+i31−i3001-11−1−i321+i32−1−i32−1+i321−i32−1+i32i3−i33−i32−3+i32−3−i323+i32-1-11+i321+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+i32000000000000000
χ6422-22-222−1−i3−1+i3−1−i3−1+i30-20020-22-200-2-2000022001+i3−1−i31+i31−i3−1+i31−i32−1−i3−1+i32−1−i3−1+i3001+i31−i30000−1−i3−1+i300-22-21+i3−1−i31+i31−i3−1+i31−i3000000-2-21+i31+i31−i31−i300000000000022−1−i3−1−i3−1+i3−1+i3000000000000000000000
χ6522-22-222−1−i3−1+i3−1−i3−1+i30-20020-22-200-2-2000022001+i3−1−i31+i31−i3−1+i31−i3-11+i321−i32-11+i321−i32001+i31−i30000−1−i3−1+i3001-11−1−i321+i32−1−i32−1+i321−i32−1+i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32-1-11+i321+i321−i321−i32i3−i33−i32−3+i32−3−i323+i32000000000000000
χ6622-22-222−1−i3−1+i3−1−i3−1+i30-20020-22-200-2-2000022001+i3−1−i31+i31−i3−1+i31−i3-11+i321−i32-11+i321−i32001+i31−i30000−1−i3−1+i3001-11−1−i321+i32−1−i32−1+i321−i32−1+i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32-1-11+i321+i321−i321−i32−i3i3−3+i323−i323+i32−3−i32000000000000000
χ6722-22-222−1+i3−1−i3−1+i3−1−i30200-20-22-200220000-2-2001−i3−1+i31−i31+i3−1−i31+i32−1+i3−1−i32−1+i3−1−i300−1+i3−1−i300001−i31+i300-22-21−i3−1+i31−i31+i3−1−i31+i300000022−1+i3−1+i3−1−i3−1−i3000000000000-2-21−i31−i31+i31+i3000000000000000000000
χ6822-22-222−1+i3−1−i3−1+i3−1−i30200-20-22-200220000-2-2001−i3−1+i31−i31+i3−1−i31+i3-11−i321+i32-11−i321+i3200−1+i3−1−i300001−i31+i3001-11−1+i321−i32−1+i32−1−i321+i32−1−i32−i3i33+i32−3−i32−3+i323−i32-1-11−i321−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−i32000000000000000
χ6922-22-222−1+i3−1−i3−1+i3−1−i30200-20-22-200220000-2-2001−i3−1+i31−i31+i3−1−i31+i3-11−i321+i32-11−i321+i3200−1+i3−1−i300001−i31+i3001-11−1+i321−i32−1+i32−1−i321+i32−1−i32i3−i3−3−i323+i323−i32−3+i32-1-11−i321−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+i32000000000000000
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χ7122-22-222−1+i3−1−i3−1+i3−1−i30-20020-22-200-2-2000022001−i3−1+i31−i31+i3−1−i31+i3-11−i321+i32-11−i321+i32001−i31+i30000−1+i3−1−i3001-11−1+i321−i32−1+i32−1−i321+i32−1−i32−i3i33+i32−3−i32−3+i323−i3211−1+i32−1+i32−1−i32−1−i32i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32-1-11−i321−i321+i321+i32i3−i3−3−i323+i323−i32−3+i32000000000000000
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χ11624-24000-12120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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