Finite Group Databasebeta

← Group #13153482

Character table — Group #13153482

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112222223333333344444444444466666666666666668888121212121212121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order1244234612123366121212122244688122424242433366666121212121212121266121266666661212121212121224242424242424242424242424242424224466661212121266666612121212121222446666881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-11-1-11-1-1-1-111111111111111111-11-111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1111-1-1-11-11-111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111-11-11-1-11-1-1-1-111111111111111111-11-111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-11-11-1-11111-1-1111111
χ5111111111111111111-11-111-1-11-1-1-1-11111111111111111-11-11-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111-1-1-1111-11-11-1-111-1-1-1-111-1-1-1-1
χ6111111111111111111-11-111-1-11-1-1-1-11111111111111111-11-11-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-11-111-1-11111-1-11111
χ7111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ91111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ101111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321-11-1−1−i32−1+i321+i321−i32-1-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32
χ121111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11-111+i321−i32−1−i32−1+i32111+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ131111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11-111+i321−i32−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ141111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321-11-1−1−i32−1+i321+i321−i3211−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ151111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-1-1-1-11+i321−i321+i321−i32111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ161111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ171111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ181111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ191111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321-11-1−1+i32−1−i321−i321+i32-1-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32
χ201111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11-111−i321+i32−1+i32−1−i32111−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-111−i321+i32−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11-111−i321+i32−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ221111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-111−i321+i32−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321-11-1−1+i32−1−i321−i321+i3211−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ231111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321+i321−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-1-1-1-11−i321+i321−i321+i32111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ241111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321+i321−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ2511-1-1-1111-1-11111-1-1-1-111-1-1-11-1111-1-1111-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-11-111-1-111-1-111-1-11-11-11-11-11-11-1111111-1-1-1-1-1-11-1-1111-1-11-1-1-1111-11-1
χ2611-1-1-1111-1-11111-1-1-1-111-1-1-11-1111-1-1111-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-11-111-1-111-1-111-1-1-11-11-11-11-11-11111111-1-1-1-1-1-1-111-1-1-111-1111-1-1-11-11
χ2711-1-1-1111-1-11111-1-1-1-11-1-11-1-111-1-111111-1-1111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-111111-11-11-1-111-1-111-1-1111-11-11-11-11-11-1111-1-1-1-1-1-111111-1-11111-11-1-1-1-1-11-11
χ2811-1-1-1111-1-11111-1-1-1-11-1-11-1-111-1-111111-1-1111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-111111-11-11-1-111-1-111-1-111-11-11-11-11-11-11111-1-1-1-1-1-1111-1-111-1-1-1-11-111111-11-1
χ2911-1-1-1111-1-11111-1-1-1-1-111-1-1-111-1-111111-1-1111-1-1-1-1-1-111-111-1-1-111-1-1-111-1-1111-11-11-1-111-1-111-1-1111-11-11-11-11-11-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111111-11-11
χ3011-1-1-1111-1-11111-1-1-1-1-111-1-1-111-1-111111-1-1111-1-1-1-1-1-111-111-1-1-111-1-1-111-1-1111-11-11-1-111-1-111-1-111-11-11-11-11-11-11-1-1-1111111-1-1-111-1-111111-1-1-1-1-11-11-1
χ3111-1-1-1111-1-11111-1-1-1-1-1-111-11-1111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111111111-11-111-1-111-1-111-1-11-11-11-11-11-11-1-1-1-1-1-1-1111111-111-1-1-1111-111-1-11-11-1
χ3211-1-1-1111-1-11111-1-1-1-1-1-111-11-1111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111111111-11-111-1-111-1-111-1-1-11-11-11-11-11-11-1-1-1-1-1-11111111-1-1111-1-1-11-1-111-11-11
χ3311-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1-11-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i32-11+i321−i321+i321−i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321-1-11−1−i32−1+i321+i321−i321-11+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ3411-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1-11-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i32-11+i321−i321+i321−i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-111-11+i321−i32−1−i32−1+i32-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
χ3511-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11-1-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i32−1+i321+i321−i32-11+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i321+i32−1−i321−i32−1+i32
χ3611-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11-1-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i32−1+i321+i321−i32-11+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-1-1111+i321−i321+i321−i321-1−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ3711-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1-1-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32-111-11+i321−i32−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-1111+i321−i321+i321−i32-11−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ3811-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1-1-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32-111-11+i321−i32−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321-11+i321−i321+i321−i32−1−i321+i32−1+i321−i32
χ3911-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-11-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1111+i321−i321+i321−i32-11+i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-111-11+i321−i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32
χ4011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-11-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1111+i321−i321+i321−i32-11+i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321-1-11−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ4111-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1-11-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i32-11−i321+i321−i321+i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321-1-11−1+i32−1−i321−i321+i321-11−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ4211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1-11-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i32-11−i321+i321−i321+i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-111-11−i321+i32−1+i32−1−i32-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ4311-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11-1-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i32−1−i321−i321+i32-11−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i321−i32−1+i321+i32−1−i32
χ4411-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11-1-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i32−1−i321−i321+i32-11−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-1-1111−i321+i321−i321+i321-1−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ4511-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1-1-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32-111-11−i321+i32−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-1111−i321+i321−i321+i32-11−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ4611-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1-1-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32-111-11−i321+i32−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321-11−i321+i321−i321+i32−1+i321−i32−1−i321+i32
χ4711-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-11-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1111−i321+i321−i321+i32-11−i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-111-11−i321+i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32
χ4811-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-11-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1111−i321+i321−i321+i32-11−i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321-1-11−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ49222222222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-12222222222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ502222222222222222222-22-22-2-22-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1222-22-222-2-2-1-1-122-2-2-1-1-1-2-2-2-2111111111111000000000000-1-1-1111-1-1-1111000000000000000000
χ51222222222222222222-22-222-2-22-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-122-22-22-2-222-1-1-1-2-222-1-1-1-2-2-2-2111111111111000000000000111-1-1-1111-1-1-1000000000000000000
χ52222222222222222222-2-2-2-222222222-1-1-122-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000
χ532222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222222222222-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i32222−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32000000000000000000
χ542222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-22-22-2-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i32-22-2−1−i3−1+i31+i31−i3-11+i321−i32−1−i3−1+i31+i31−i3-11+i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32000000000000000000
χ552222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-22-222-2-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-22-221+i31−i3−1−i3−1+i3-11+i321−i321+i31−i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000001−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32000000000000000000
χ562222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-222222222-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-2-2-2-21+i31−i31+i31−i3-11+i321−i321+i31−i31+i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000000000000
χ572222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222222222-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i32222−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32000000000000000000
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χ11266666-36-3-3-300000000-6-6-6-6-366-3-3-3-3-300000000000000003333000000000000000000000000000000000000000000000000000000000000000000000000
χ11366-6-6-6-36-3330000000066-6-636-6-3-3-3330000000000000000-3-333000000000000000000000000000000000000000000000000000000000000000000000000
χ11466-6-6-6-36-333000000006-6-663-66-333-3-30000000000000000-333-3000000000000000000000000000000000000000000000000000000000000000000000000
χ11566-6-6-6-36-33300000000-666-63-66-333-3-300000000000000003-3-33000000000000000000000000000000000000000000000000000000000000000000000000
χ11666-6-6-6-36-33300000000-6-66636-6-3-3-333000000000000000033-3-3000000000000000000000000000000000000000000000000000000000000000000000000
χ11712121212-12-6-12-6-6-60000000000006006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1181212-12-1212-6-12-666000000000000-6006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11912-1212i−12i0-606−6i6i00000000000000003i6−3i636−3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12012-1212i−12i0-606−6i6i0000000000000000−3i63i6−363600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-12−12i12i0-6066i−6i00000000000000003i6−3i6−363600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-12−12i12i0-6066i−6i0000000000000000−3i63i636−3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.