Finite Group Databasebeta

← Group #13142689

Character table — Group #13142689

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111111122222222222233333333333333334444444444444444666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order122244442234466612121212336666661212121212121212444466121212121212121212123336666666666666121212121212121212121212121212126666661212121212121212121212121212121212121212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111−1−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+i3211111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−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+i3211111111−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ611111111111111111111−1−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+i3211111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ711111111111111111111−1−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+i32-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211111111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ811111111111111111111−1−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+i32-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ911111111111111111111−1+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−i3211111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+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−i3211111111−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ1011111111111111111111−1+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−i3211111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ1111111111111111111111−1+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−i32-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211111111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ1211111111111111111111−1+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−i32-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ141111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ151111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ161111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ171111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-1111111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32111−1−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−i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ181111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-1111111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32111−1−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−i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ191111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-111-1-1-1-111111−1−i32−1+i321+i321+i321−i321−i32111−1−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−i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ201111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-111-1-1-1-111111−1−i32−1+i321+i321+i321−i321−i32111−1−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−i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ211111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-1111111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32111−1+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+i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ221111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-1111111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32111−1+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+i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ231111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-111-1-1-1-111111−1+i32−1−i321−i321−i321+i321+i32111−1+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+i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-111-1-1-1-111111−1+i32−1−i321−i321−i321+i321+i32111−1+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+i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ2511-1-111-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i1111-11-11-1-11-1-11-1-1-1-111-1-111-1-111-1-1111-11-11-1i−ii−ii−ii−i1-11-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ2611-1-111-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i1111-11-11-1-11-1-11-1-1-1-111-1-111-1-111-1-1111-11-11-1i−ii−ii−ii−i1-11-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111-1-111-1-111−ii−ii−ii−ii−ii−ii
χ2711-1-111-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii1111-11-11-1-11-1-11-1-1-1-111-1-111-1-111-1-1111-11-11-1−ii−ii−ii−ii1-11-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ2811-1-111-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii1111-11-11-1-11-1-11-1-1-1-111-1-111-1-111-1-1111-11-11-1−ii−ii−ii−ii1-11-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111-1-111-1-111i−ii−ii−ii−ii−ii−i
χ2911-1-111-1-11-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−i1-11-1ii−i−iii−i−i1−1−i32−1+i32−1−i321+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ141-1−1−i321+i32−1+i321−i32ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ1411-1-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ3011-1-111-1-11-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−i1-11-1ii−i−iii−i−i1−1−i32−1+i32−1−i321+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ141-1−1−i321+i32−1+i321−i32ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14-1-111-1-1111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ3111-1-111-1-11-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii1-11-1−i−iii−i−iii1−1−i32−1+i32−1−i321+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ141-1−1−i321+i32−1+i321−i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ1411-1-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ3211-1-111-1-11-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii1-11-1−i−iii−i−iii1−1−i32−1+i32−1−i321+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ141-1−1−i321+i32−1+i321−i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14-1-111-1-1111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ3311-1-111-1-11-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−i1-11-1ii−i−iii−i−i1−1+i32−1−i32−1+i321−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ221-1−1+i321−i32−1−i321+i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ2211-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
χ3411-1-111-1-11-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−i1-11-1ii−i−iii−i−i1−1+i32−1−i32−1+i321−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ221-1−1+i321−i32−1−i321+i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22-1-111-1-1111−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22
χ3511-1-111-1-11-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii1-11-1−i−iii−i−iii1−1+i32−1−i32−1+i321−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ221-1−1+i321−i32−1−i321+i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ2211-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22
χ3611-1-111-1-11-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii1-11-1−i−iii−i−iii1−1+i32−1−i32−1+i321−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ221-1−1+i321−i32−1−i321+i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22-1-111-1-1111−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
χ3711-1-1-1-111-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111i−i−ii-111-1ii−i−i−i−iii111-11-111-1-11-1-11-1-1-1-1-1-111-1-111-1-11111-11-11-11i−i−iii−i−ii1-11-11-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-11111-1-1-1-111i−i−iii−i−iii−i−ii
χ3811-1-1-1-111-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111i−i−ii-111-1ii−i−i−i−iii111-11-111-1-11-1-11-1-1-1-1-1-111-1-111-1-11111-11-11-11i−i−iii−i−ii1-11-11-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-11111-1-1−iii−i−iii−i−iii−i
χ3911-1-1-1-111-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111−iii−i-111-1−i−iiiii−i−i111-11-111-1-11-1-11-1-1-1-1-1-111-1-111-1-11111-11-11-11−iii−i−iii−i1-11-11-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-11111-1-1-1-111−iii−i−iii−i−iii−i
χ4011-1-1-1-111-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111−iii−i-111-1−i−iiiii−i−i111-11-111-1-11-1-11-1-1-1-1-1-111-1-111-1-11111-11-11-11−iii−i−iii−i1-11-11-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1-1-11111-1-1i−i−iii−i−iii−i−ii
χ4111-1-1-1-111-111-111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−ii-111-1ii−i−i−i−iii1−1−i32−1+i321+i32−1−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ141-1−1−i321+i32−1+i321−i32ii−i−i−i−iiiζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ1411-1-1-1-111−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14
χ4211-1-1-1-111-111-111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−ii-111-1ii−i−i−i−iii1−1−i32−1+i321+i32−1−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ141-1−1−i321+i32−1+i321−i32ii−i−i−i−iiiζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14-1-11111-1-11+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14
χ4311-1-1-1-111-111-111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i-111-1−i−iiiii−i−i1−1−i32−1+i321+i32−1−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ141-1−1−i321+i32−1+i321−i32−i−iiiii−i−i−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ1411-1-1-1-111−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14
χ4411-1-1-1-111-111-111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i-111-1−i−iiiii−i−i1−1−i32−1+i321+i32−1−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ141-1−1−i321+i32−1+i321−i32−i−iiiii−i−i−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14-1-11111-1-11+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14
χ4511-1-1-1-111-111-111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−ii-111-1ii−i−i−i−iii1−1+i32−1−i321−i32−1+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ221-1−1+i321−i32−1−i321+i32ii−i−i−i−iiiζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ2211-1-1-1-111−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22
χ4611-1-1-1-111-111-111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−ii-111-1ii−i−i−i−iii1−1+i32−1−i321−i32−1+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ221-1−1+i321−i32−1−i321+i32ii−i−i−i−iiiζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22-1-11111-1-11−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22
χ4711-1-1-1-111-111-111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i-111-1−i−iiiii−i−i1−1+i32−1−i321−i32−1+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ221-1−1+i321−i32−1−i321+i32−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ2211-1-1-1-111−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22
χ4811-1-1-1-111-111-111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i-111-1−i−iiiii−i−i1−1+i32−1−i321−i32−1+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ221-1−1+i321−i32−1−i321+i32−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22-1-11111-1-11−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22
χ492222222222222222222222222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ50222222222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000
χ5122222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222222222222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ5222222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-11+i321+i321−i321−i3211111111−1−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+i32000000000000000000000000000000000000
χ5322222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222222222222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ5422222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-11−i321−i321+i321+i3211111111−1+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−i32000000000000000000000000000000000000
χ5522222222-2-22-2-2222222222222222222222220000-2-2-2-200000000222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ5622222222-2-22-2-2222222222222222222222220000-2-2-2-200000000-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211111100000000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ5722222222-2-22-2-2222222222222222222222220000-2-2-2-200000000-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211111100000000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ5822222222-2-22-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i30000-2-2-2-2000000002−1−i3−1+i31+i31+i31−i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31−i3-2-21+i31+i31−i31−i300000000-2-21+i31+i31−i31−i3000000000000000000000000000000000000000000000000000000000000
χ5922222222-2-22-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i30000-2-2-2-200000000-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000011−1−i32−1−i32−1+i32−1+i32−i3i3−i3i3−i3i3−i3i3−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000000000000000000000000000
χ6022222222-2-22-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i30000-2-2-2-200000000-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i320000000011−1−i32−1−i32−1+i32−1+i32i3−i3i3−i3i3−i3i3−i33−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000000000000000000000000000
χ6122222222-2-22-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i30000-2-2-2-2000000002−1+i3−1−i31−i31−i31+i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31+i3-2-21−i31−i31+i31+i300000000-2-21−i31−i31+i31+i3000000000000000000000000000000000000000000000000000000000000
χ6222222222-2-22-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i30000-2-2-2-200000000-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000011−1+i32−1+i32−1−i32−1−i32−i3i3−i3i3−i3i3−i3i33+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000000000000000000000000000
χ6322222222-2-22-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i30000-2-2-2-200000000-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i320000000011−1+i32−1+i32−1−i32−1−i32i3−i3i3−i3i3−i3i3−i3−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000000000000000000000000000
χ642222-2-2-2-2222-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ652222-2-2-2-2222-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-200000000-1-1-12222-1-1-1-1-1-1-1-1-1-2-2111111111111-2-2-1-1-1-1-1-100000000111111−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ662222-2-2-2-2222-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-200000000-1-1-12222-1-1-1-1-1-1-1-1-1-2-2111111111111-2-2-1-1-1-1-1-100000000111111i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ672222-2-2-2-2222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3000022-2-2000000002−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i31+i31−i322−1−i3−1−i3−1+i3−1+i300000000-2-21+i31+i31−i31−i3000000000000000000000000000000000000000000000000000000000000
χ682222-2-2-2-2222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3000022-2-200000000-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i3-1-11+i321+i321−i321−i320000000011−1−i32−1−i32−1+i32−1+i32−i3i3−i3i3i3−i3i3−i3−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i323+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000000000000000000000000000
χ692222-2-2-2-2222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3000022-2-200000000-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i3-1-11+i321+i321−i321−i320000000011−1−i32−1−i32−1+i32−1+i32i3−i3i3−i3−i3i3−i3i33−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i32000000000000000000000000000000000000
χ702222-2-2-2-2222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3000022-2-2000000002−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i31−i31+i322−1+i3−1+i3−1−i3−1−i300000000-2-21−i31−i31+i31+i3000000000000000000000000000000000000000000000000000000000000
χ712222-2-2-2-2222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3000022-2-200000000-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i3-1-11−i321−i321+i321+i320000000011−1+i32−1+i32−1−i32−1−i32−i3i3−i3i3i3−i3i3−i33+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000000000000000000000000000
χ722222-2-2-2-2222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3000022-2-200000000-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i3-1-11−i321−i321+i321+i320000000011−1+i32−1+i32−1−i32−1−i32i3−i3i3−i3−i3i3−i3i3−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i323−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32000000000000000000000000000000000000
χ732222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1221111111111112211111122-2-222-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000
χ742222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12211111111111122111111-2-222-2-222-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ752222-2-2-2-2-2-2222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i322-2-2-2-2222222-2-2-2-2-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000
χ762222-2-2-2-2-2-2222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-2-222-2-222-2-2-2-22222-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i311−1−i32−1−i32−1+i32−1+i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-1-11+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000000000000000000000000000
χ772222-2-2-2-2-2-2222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i322-2-2-2-2222222-2-2-2-2-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000
χ782222-2-2-2-2-2-2222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-2-222-2-222-2-2-2-22222-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i311−1+i32−1+i32−1−i32−1−i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3-1-11−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000000000000000000000000000
χ7922-2-222-2-22-22-222-2-222-2-22222-2-2-2-222-2-222-2-22i−2i2i−2i2-22-22i2i−2i−2i2i2i−2i−2i-1-1-12-22-2-111-111-111-2-2-1-111-1-111-1-11122-11-11-112i−2i2i−2i2i−2i2i−2i-11-11-11−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000000000000000000000000000000000
χ8022-2-222-2-22-22-222-2-222-2-22222-2-2-2-222-2-222-2-2−2i2i−2i2i2-22-2−2i−2i2i2i−2i−2i2i2i-1-1-12-22-2-111-111-111-2-2-1-111-1-111-1-11122-11-11-11−2i2i−2i2i−2i2i−2i2i-11-11-11ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000000000000000000000000000000000
χ8122-2-222-2-22-22-222-2-222-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i32i−2i2i−2i2-22-22i2i−2i−2i2i2i−2i−2i-11+i321−i32−1−i31+i3−1+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i321+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i3−1+i3-111+i32−1−i321−i32−1+i322ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ14-111+i32−1−i321−i32−1+i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14000000000000000000000000000000000000
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χ8322-2-222-2-22-22-222-2-222-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i32i−2i2i−2i2-22-22i2i−2i−2i2i2i−2i−2i-11−i321+i32−1+i31−i3−1−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i3−1−i3-111−i32−1+i321+i32−1−i322ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ22-111−i32−1+i321+i32−1−i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22000000000000000000000000000000000000
χ8422-2-222-2-22-22-222-2-222-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−2i2i−2i2i2-22-2−2i−2i2i2i−2i−2i2i2i-11−i321+i32−1+i31−i3−1−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i3−1−i3-111−i32−1+i321+i32−1−i32−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22-111−i32−1+i321+i32−1−i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22000000000000000000000000000000000000
χ8522-2-222-2-2-2222-22-2-222-2-22222-2-2-2-222-2-222-2-20000-22-2200000000222-22-222-2-22-2-22-2-22222-2-222-2-222-2-2-2-2-22-22-2200000000-22-22-22000000000000000000000000000000000000000000000000000000000000
χ8622-2-222-2-2-2222-22-2-222-2-22222-2-2-2-222-2-222-2-20000-22-2200000000-1-1-1-22-22-111-111-11122-1-111-1-111-1-111-2-21-11-11-1000000001-11-11-13−3−333−3−333−3−333−3−333−3−333−3−33000000000000000000000000000000000000
χ8722-2-222-2-2-2222-22-2-222-2-22222-2-2-2-222-2-222-2-20000-22-2200000000-1-1-1-22-22-111-111-11122-1-111-1-111-1-111-2-21-11-11-1000000001-11-11-1−333−3−333−3−333−3−333−3−333−3−333−3000000000000000000000000000000000000
χ8822-2-222-2-2-2222-22-2-222-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i30000-22-22000000002−1−i3−1+i31+i3−1−i31−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i3−1−i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31−i3-221+i3−1−i31−i3−1+i300000000-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000000000000000000
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χ9122-2-222-2-2-2222-22-2-222-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i30000-22-22000000002−1+i3−1−i31−i3−1+i31+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i3−1+i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31+i3-221−i3−1+i31+i3−1−i300000000-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000000000000000000
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χ9522-2-2-2-2222-222-22-2-2-2-2222222-2-2-2-2-2-222-2-22200002-2-2200000000-1-1-12-22-2-111-111-1112211-1-111-1-111-1-1-2-2-11-11-11000000001-11-11-13−3−33−333−33−3−33−333−33−3−33−333−3000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.