Finite Group Databasebeta

← Group #14516589

Character table — Group #14516589

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size1113333333333333333399999999999999999999999999999936363636363636363636363636363636363611133333333333333333999999999999999999999999999999363636363636363636363636363636363636
order1332336666666699999999999918181818181818181818181818181818181818181818181827272727272727272727272727272727272726626666666666181818181818181818181818181818181818181818181818181818181818181818181818545454545454545454545454545454545454
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111−1+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+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111−1+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+i32−1+i32−1−i32−1−i32−1−i32
χ511111111111111111111−1+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+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i3211111111111111111111−1+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+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ611111111111111111111−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111111−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ711111111111111111111−1−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−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111−1−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−i32−1−i32−1+i32−1+i32−1+i32
χ811111111111111111111−1−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+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111111−1−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+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ911111111111111111111−1−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−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i3211111111111111111111−1−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−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ101111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ811−1+i32−1+i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ811−1+i32−1+i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ811−1+i32−1+i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1+i32−1−i321ζ4ζ7ζζ5ζ8ζ2−1−i321−1+i32ζ7ζζ4ζ8ζ2ζ51111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ811−1+i32−1+i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1+i32−1−i321ζ4ζ7ζζ5ζ8ζ2−1−i321−1+i32ζ7ζζ4ζ8ζ2ζ5
χ121111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ811−1+i32−1+i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1−i321−1+i32ζ7ζζ4ζ8ζ2ζ5−1+i32−1−i321ζ4ζ7ζζ5ζ8ζ21111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ811−1+i32−1+i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1−i321−1+i32ζ7ζζ4ζ8ζ2ζ5−1+i32−1−i321ζ4ζ7ζζ5ζ8ζ2
χ131111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ141111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ21111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2
χ151111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ81111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8
χ161111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ171111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ81111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8
χ181111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ51111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5
χ191111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ201111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ41111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4
χ211111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ1111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ
χ221111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ231111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ1111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ
χ241111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ71111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7
χ251111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ261111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ71111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7
χ271111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ41111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4
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χ811111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-1-11−i321−i321+i321+i32−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ821111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-1-11−i321−i321+i321+i32−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2−ζ5−ζ5−ζ51−i321+i32-1−ζ7−ζ−ζ4−ζ2−ζ5−ζ81+i32-11−i32−ζ−ζ4−ζ7−ζ5−ζ8−ζ2
χ831111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ511−1+i32−1+i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-1-11−i321−i321+i321+i32−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2−ζ5−ζ5−ζ51+i32-11−i32−ζ−ζ4−ζ7−ζ5−ζ8−ζ21−i321+i32-1−ζ7−ζ−ζ4−ζ2−ζ5−ζ8
χ841111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-1-11−i321−i321+i321+i32−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ851111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-1-11−i321−i321+i321+i32−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8−ζ2−ζ2−ζ21−i321+i32-1−ζ−ζ4−ζ7−ζ8−ζ2−ζ51+i32-11−i32−ζ4−ζ7−ζ−ζ2−ζ5−ζ8
χ861111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ211−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-1-11−i321−i321+i321+i32−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8−ζ2−ζ2−ζ21+i32-11−i32−ζ4−ζ7−ζ−ζ2−ζ5−ζ81−i321+i32-1−ζ−ζ4−ζ7−ζ8−ζ2−ζ5
χ871111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-1-11+i321+i321−i321−i32−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ4−ζ4−ζ4−ζ−ζ−ζ−ζ7−ζ7−ζ7-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ881111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-1-11+i321+i321−i321−i32−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ4−ζ4−ζ4−ζ−ζ−ζ−ζ7−ζ7−ζ71−i32-11+i32−ζ5−ζ2−ζ8−ζ7−ζ4−ζ1+i321−i32-1−ζ8−ζ5−ζ2−ζ−ζ7−ζ4
χ891111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ711−1−i32−1−i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-1-11+i321+i321−i321−i32−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ4−ζ4−ζ4−ζ−ζ−ζ−ζ7−ζ7−ζ71+i321−i32-1−ζ8−ζ5−ζ2−ζ−ζ7−ζ41−i32-11+i32−ζ5−ζ2−ζ8−ζ7−ζ4−ζ
χ901111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-1-11+i321+i321−i321−i32−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ−ζ−ζ−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ911111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-1-11+i321+i321−i321−i32−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ−ζ−ζ−ζ7−ζ7−ζ7−ζ4−ζ4−ζ41−i32-11+i32−ζ8−ζ5−ζ2−ζ4−ζ−ζ71+i321−i32-1−ζ2−ζ8−ζ5−ζ7−ζ4−ζ
χ921111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ411−1−i32−1−i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-1-11+i321+i321−i321−i32−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ−ζ−ζ−ζ7−ζ7−ζ7−ζ4−ζ4−ζ41+i321−i32-1−ζ2−ζ8−ζ5−ζ7−ζ4−ζ1−i32-11+i32−ζ8−ζ5−ζ2−ζ4−ζ−ζ7
χ931111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-1-11+i321+i321−i321−i32−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4−ζ−ζ−ζ-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ941111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-1-11+i321+i321−i321−i32−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4−ζ−ζ−ζ1−i32-11+i32−ζ2−ζ8−ζ5−ζ−ζ7−ζ41+i321−i32-1−ζ5−ζ2−ζ8−ζ4−ζ−ζ7
χ951111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1−i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-1-11+i321+i321−i321−i32−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4−ζ−ζ−ζ1+i321−i32-1−ζ5−ζ2−ζ8−ζ4−ζ−ζ71−i32-11+i32−ζ2−ζ8−ζ5−ζ−ζ7−ζ4
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χ9733333333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-33+3i323−3i323+3i323−3i323+3i323−3i320000003+3i323−3i323+3i323−3i323+3i323−3i32000000000000000000000000000000000000
χ983333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i32−3−3i3233−3+3i32000000−3+3i32−3−3i32−3−3i3233−3+3i32000000000000000000000000000000000000-3-3-3-33−3i323+3i32-3-33−3i323−3i323−3i323+3i323+3i323+3i323−3i323+3i323+3i32-3-33−3i320000003−3i323+3i323+3i32-3-33−3i32000000000000000000000000000000000000
χ993333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i323−3−3i32−3+3i323000000−3−3i32−3+3i323−3−3i32−3+3i323000000000000000000000000000000000000-3-3-3-33−3i323+3i32-3-33−3i323−3i323−3i323+3i323+3i323+3i323+3i323−3i32-33+3i323−3i32-30000003+3i323−3i32-33+3i323−3i32-3000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.