Finite Group Databasebeta

← Group #72253003

Character table — Group #72253003

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213
size11111122222222233334444444444446666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363636363636363636363636484848484848484848484848484848484848484848484848727272727272727272727272144144144144144144
order1233663334666121233664121212121212121212121223346666666666881212121212121212121224242424226666666666666666666666666666666666666999999121212121212121212121212121212121218181818181824242424999999181818181818363636363636466812121212121212122424242424242424363636363636363636363636363636363636363636363636727272727272727272727272181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11-111-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11-111-1-1111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ6111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11-111-1-1111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ71111111111111111111-1-1-1111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-11111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ81111111111111111111-1-1-1111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-111111111-1-1-1-1−1−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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11-1-1-1-1-1-1-1-1111111111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ91111111111111111111-1-1-1111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-111111111-1-1-1-1−1+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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11-1-1-1-1-1-1-1-1111111111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ101111111111111111111-1-1-1111-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1111111-1-1-1-1111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ111111111111111111111-1-1-1111-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-111111111-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ121111111111111111111-1-1-1111-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-111111111-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ13111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−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+i321111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−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+i321−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321−1−i32−1+i32
χ14111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−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+i321111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−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+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32111−1−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+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32
χ15111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−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+i321111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321
χ16111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11-111-1-1111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−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+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-11+i321−i32
χ17111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11-111-1-1111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−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+i321−1+i321−1−i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321+i321−i32-11−i32-11+i32
χ18111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11-111-1-1111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−i32-11+i321+i321−i32-1
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χ21111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1111-1-1-1-1-1-11−1−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+i321111-1-1-1-1-1-1111-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i3211111+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-11+i321−i321-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i32-11+i321+i321−i32-1−1+i321−1−i321−i321−i32-1-11+i321+i32−1−i32−1+i3211+i321+i321−i321−i32-1-1−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111−i32-11+i321+i321−i32-1
χ22111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1111-1-1-1-1-1-11−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-11-1-111111-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i321111+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32
χ23111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1111-1-1-1-1-1-11−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-11-1-111111-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i321111+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i3211+i321+i321−i321−i32-1-1−1+i321−1−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32−1−i32−1+i321−1+i321−1−i32
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χ28111111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11-111-1-1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+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−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-11−i321+i32
χ29111111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11-111-1-1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11+i32-11−i321−i321+i32-1
χ30111111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11-111-1-1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+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−i321−1−i321−1+i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i321−i321+i32-11+i32-11−i32
χ31111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1111-1-1-1-1-1-11−1+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−i321111-1-1-1-1-1-1111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321111−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+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−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i321+i32
χ32111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1111-1-1-1-1-1-11−1+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−i321111-1-1-1-1-1-1111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211111−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-11−i321+i321-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i32-11−i321−i321+i32-1−1−i321−1+i321+i321+i32-1-11−i321−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32111+i32-11−i321−i321+i32-1
χ33111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1111-1-1-1-1-1-11−1+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−i321111-1-1-1-1-1-1111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321111−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-11+i32-11−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1−1−i321−1+i321+i321+i32-1-11−i321−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i321−i321+i32-11+i32-11−i32
χ34111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1111-1-1-1-1-1-11−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-11-1-111111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321111−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32
χ35111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1111-1-1-1-1-1-11−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-11-1-111111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211111−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-1−1−i321−1+i321+i321+i32-1-11−i321−i32−1+i32−1−i3211−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1−1−i321−1+i32−1+i32−1−i321
χ36111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1111-1-1-1-1-1-11−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-11-1-111111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321111−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1−1−i321−1+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32−1+i32−1−i321−1−i321−1+i32
χ37222222222-2222-2-22222000-2-2-2000000-2222-2-2-2-2-2-2-2-2220022222222-2-20000000000-2-2-2000000000000-2-2-2-2-2-200000000000022222222200222-2222-200002222220000222222222222-2-2-2-2-2-200000000000000000000000000-2-2-2000000-2-2-2000000000000000000000000
χ38222222222-2222-2-22222000-2-2-2000000-2222-2-2-2-2-2-2-2-2220022222222-2-20000000000-2-2-2000000000000-2-2-2-2-2-2000000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322200222-2222-20000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3000000000000000000000000001+i31+i31+i30000001−i31−i31−i3000000000000000000000000
χ39222222222-2222-2-22222000-2-2-2000000-2222-2-2-2-2-2-2-2-2220022222222-2-20000000000-2-2-2000000000000-2-2-2-2-2-2000000000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322200222-2222-20000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3000000000000000000000000001−i31−i31−i30000001+i31+i31+i3000000000000000000000000
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χ41222222222-2222-2-2−1−i3−1+i3−1−i3−1+i3000-2-2-2000000-2−1−i3−1+i32-2-21+i31+i31+i31−i31−i31−i3−1−i3−1+i30022−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i30000000000-2-2-20000000000001+i31+i31+i31−i31−i31−i3000000000000−1−i3−1+i32−1+i32−1−i322200−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i30000−1−i3−1+i32−1+i32−1−i30000−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i31+i31−i3-21−i3-21+i3000000000000000000000000001+i31−i3-20000001−i3-21+i3000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.