Finite Group Databasebeta

← Group #11758103

Character table — Group #11758103

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111333333333334444449999999912121212121212121212121212121212111333333333334444449999999912121212121212121212121212121212111333333333334444449999999912121212121212121212121212121212
order133233669999999999996618181818181833333399999999993336336699999999999966181818181818333333999999999933363366999999999999661818181818183333339999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111−1+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−i3211111111111111−1+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−i3211111111111111−1+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−i32
χ311111111111111−1−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+i3211111111111111−1−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+i3211111111111111−1−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+i32
χ411111111−1+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−i3211−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i3211111111−1+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−i3211−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i3211111111−1+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−i3211−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32
χ511111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i3211111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i3211111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32111
χ611111111−1+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−i32−1−i32−1−i32111111−1−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+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−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+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ711111111−1−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+i3211−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i3211111111−1−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+i3211−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i3211111111−1−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+i3211−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32
χ811111111−1−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+i32−1+i32−1+i32111111−1+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−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+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−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ911111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i3211111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i3211111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32111
χ101111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ111111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i321111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i321111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32
χ121111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ131111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321
χ141111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+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−i321−1+i32−1+i32−1−i321−1−i3211−1+i32−1−i321−1+i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+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−i321−1+i32−1+i32−1−i321−1−i3211−1+i32−1−i321−1+i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+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−i321−1+i32−1+i32−1−i321−1−i3211−1+i32−1−i321−1+i321−1+i32−1−i32
χ151111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i321−1+i321111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i321−1+i321111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i321−1+i32
χ161111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32
χ171111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32−1+i32−1−i3211111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32−1+i32−1−i3211111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32−1+i32−1−i321
χ181111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1−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−i321−1−i321−1+i321−1+i321−1+i32−1−i32−1−i3211−1+i32−1−i321111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1−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−i321−1−i321−1+i321−1+i321−1+i32−1−i32−1−i3211−1+i32−1−i321111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1−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−i321−1−i321−1+i321−1+i321−1+i32−1−i32−1−i3211−1+i32−1−i32
χ191111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ201111−1−i32−1+i32111−1−i32−1+i321−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32111−1−i32−1+i321−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32111−1−i32−1+i321−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
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χ4811111111−1+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−i3211−1−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−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+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−i32111−1+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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32111
χ4911111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−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−i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5011111111−1+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−i32−1−i32−1−i32111111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−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−i32−1−i32111−1−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+i32111−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211111−1+i32−1+i32−1+i32
χ5111111111−1−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+i3211−1+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+i32111−1−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−i32111−1−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−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−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32111−1−i32−1−i32−1+i32−1+i32−1+i32
χ5211111111−1−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+i32−1+i32−1+i32111111−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i32111−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+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+i32−1+i32111
χ5311111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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+i32111−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1−i32−1−i32
χ541111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i321−1+i32−1−i321−1+i321−1+i32−1−i321−1+i32
χ551111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1−i32−1−i32−1−i32111−1−i321−1+i32−1−i321−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32111−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i321
χ561111−1+i32−1−i32111−1+i32−1−i321−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321111−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1+i32−1+i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ571111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i3211−1+i32−1−i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i3211−1+i321−1+i32−1−i32
χ581111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+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−i321−1+i32−1+i32−1−i321−1−i3211−1+i32−1−i321−1+i321−1+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−i32−1−i32−1−i32111−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1−i321−1−i321−1+i32
χ591111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i321−1+i32−1−i32111−1−i32−1−i32−1−i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1+i321111−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321
χ601111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+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+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−1+i321−1+i32−1−i321−1+i32−1+i32−1−i321
χ611111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32111−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32111−1+i32−1+i32−1+i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i3211−1+i32−1−i32
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χ1061111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1−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−i321−1−i321−1+i321−1+i321−1+i32−1−i32−1−i3211−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i321−1+i32−1−i32−1−i321−1+i32111−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i321
χ1071111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i321−1−i32−1+i321−1−i321−1−i32−1+i321−1−i32
χ1081111−1−i32−1+i32111−1−i32−1+i321−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321111−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1−i32−1−i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1091111−1−i32−1+i32111−1−i32−1+i321−1−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+i321−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1+i32−1+i32−1+i32111−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32111−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i321
χ1101111−1−i32−1+i3211−1+i321−1−i32−1−i32−1+i321111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−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−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321−1−i321−1−i32−1+i321−1−i32−1−i32−1+i321
χ1111111−1−i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1+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+i321−1+i321−1−i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i321−1−i32−1+i32−1+i321−1−i32111−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1+i321−1−i32−1−i32−1+i32−1+i321−1−i32
χ1121111−1−i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1+i321−1−i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32111−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32111−1−i32−1−i32−1−i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i3211−1−i32−1+i32
χ1131111−1−i32−1+i3211−1−i32−1+i321−1+i321−1−i32111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1+i32−1+i321−1+i321−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i3211−1−i321−1−i32−1+i32
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χ1283−3−3i32−3+3i32300−3−3i32−3+3i320000003ζ3ζ73ζ43ζ53ζ23ζ8000000000000000000000000−3−3i32−3+3i323−3−3i3200−3+3i3230000003ζ73ζ43ζ3ζ23ζ83ζ5000000000000000000000000−3+3i323−3−3i32−3+3i32003−3−3i320000003ζ43ζ3ζ73ζ83ζ53ζ2000000000000000000000000
χ1293−3−3i32−3+3i32300−3−3i32−3+3i320000003ζ43ζ3ζ73ζ23ζ83ζ5000000000000000000000000−3−3i32−3+3i323−3−3i3200−3+3i3230000003ζ3ζ73ζ43ζ83ζ53ζ2000000000000000000000000−3+3i323−3−3i32−3+3i32003−3−3i320000003ζ73ζ43ζ3ζ53ζ23ζ8000000000000000000000000
χ1303−3−3i32−3+3i32300−3−3i32−3+3i320000003ζ73ζ43ζ3ζ83ζ53ζ2000000000000000000000000−3−3i32−3+3i323−3−3i3200−3+3i3230000003ζ43ζ3ζ73ζ53ζ23ζ8000000000000000000000000−3+3i323−3−3i32−3+3i32003−3−3i320000003ζ3ζ73ζ43ζ23ζ83ζ5000000000000000000000000
χ1319−9+9i32−9−9i32-3003−3i323+3i32000000000000000000000000000000000000−9−9i329−9+9i323+3i3200-33−3i32000000000000000000000000000000000000−9+9i32−9−9i3293−3i32003+3i32-3000000000000000000000000000000000000
χ1329−9−9i32−9+9i32-3003+3i323−3i32000000000000000000000000000000000000−9−9i32−9+9i3293+3i32003−3i32-3000000000000000000000000000000000000−9+9i329−9−9i323−3i3200-33+3i32000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.