Finite Group Databasebeta

← Group #13142219

Character table — Group #13142219

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111222222222233333333444444444466666666666666666666666688889999999999991212121212121212121212121212121212121212121212121212181818181818181818181818181818181818242424242424242424242424363636363636363636363636
order122234466688883366666644441212242424243336666666661212121224242424242424241212121244441212121212121212121212121212121212121212121224242424242424242424242444888812121212242424242424242412121212121212121212121244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+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+i321−1−i32−1+i321−1−i32−1+i321111−1−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−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ611111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ711111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i321111−1−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−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ811111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−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−i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ911111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−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−i321−1+i32−1−i321−1+i32−1−i321111−1+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+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ1011111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ1111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321111−1+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+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ1211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+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+i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111111111-1-1-1-11111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ141111111111-1-1-1-11111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-111
χ151111111111-1-1-1-111111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ161111111111-1-1-1-111111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11111-1-111-1-111-1-1
χ171111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111-1-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-11111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ181111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111-1-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ191111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ201111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ211111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111-1-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-11111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ221111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111-1-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ231111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ251-1-1111-1-11-111-1-111-1-1-1-111i−ii−i-1111-1-1111-1-1-1111-1-1-111-1-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−ii−ii−ii−ii−i-1-1-111111-1-111-1-111-1-1i−iii−i−ii−ii−iii−i−iii−i−ii−ii−ii−ii−ii−ii−i1-11-11-11-11-11-1
χ261-1-1111-1-11-111-1-111-1-1-1-111i−ii−i-1111-1-1111-1-1-1111-1-1-111-1-111-1-111-1-1i−ii−i−i−iii−i−iii−i−iiii−ii−ii−ii−i-1-1-111111-1-111-1-111-1-1−ii−i−iii−ii−ii−i−iii−i−iiii−ii−ii−ii−ii−ii−i-11-11-11-11-11-11
χ271-1-1111-1-11-111-1-111-1-1-1-111−ii−ii-1111-1-1111-1-1-1111-1-1-111-1-111-1-111-1-1−ii−iiii−i−iii−i−iii−i−i−ii−ii−ii−ii-1-1-111111-1-111-1-111-1-1i−iii−i−ii−ii−iii−i−iii−i−i−ii−ii−ii−ii−ii−ii-11-11-11-11-11-11
χ281-1-1111-1-11-111-1-111-1-1-1-111−ii−ii-1111-1-1111-1-1-1111-1-1-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−ii−ii−ii−ii-1-1-111111-1-111-1-111-1-1−ii−i−iii−ii−ii−i−iii−i−iii−ii−ii−ii−ii−ii−ii1-11-11-11-11-11-1
χ291-1-1111-1-11-111-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−ii−i-1111-1-11−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−iii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14-11+i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iii−i−iζ22−ζ22ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ141-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ301-1-1111-1-11-111-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−ii−i-1111-1-11−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−i−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14-11+i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−i−iii−ζ22ζ22−ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14i−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ311-1-1111-1-11-111-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ii−ii-1111-1-11−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−iiii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14-11+i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iii−i−iζ22−ζ22ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ321-1-1111-1-11-111-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ii−ii-1111-1-11−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14-11+i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−i−iii−ζ22ζ22−ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ141-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ331-1-1111-1-11-111-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−ii−i-1111-1-11−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−iii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22-11−i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iii−i−iζ14−ζ14ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ221-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ341-1-1111-1-11-111-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−ii−i-1111-1-11−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−i−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22-11−i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−i−iii−ζ14ζ14−ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22i−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ351-1-1111-1-11-111-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ii−ii-1111-1-11−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−iiii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22-11−i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iii−i−iζ14−ζ14ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ361-1-1111-1-11-111-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ii−ii-1111-1-11−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22-11−i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−i−iii−ζ14ζ14−ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ221-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ371-1-1111-1-11-1-1-11111-1-1-1-111i−i−ii-11-1-111111-1-1-1111-1-1-111-1-1-1-111-1-111i−i−iiii−i−iii−i−iii−i−ii−i−iii−i−ii-1-1-1111-1-111-1-111-1-111i−i−i−iiii−ii−i−i−iii−i−iiii−i−iii−i−iii−i−ii1-1-111-1-111-1-11
χ381-1-1111-1-11-1-1-11111-1-1-1-111i−i−ii-11-1-111111-1-1-1111-1-1-111-1-1-1-111-1-111i−i−ii−i−iii−i−iii−i−iiii−i−iii−i−ii-1-1-1111-1-111-1-111-1-111−iiii−i−i−ii−iiii−i−iii−i−ii−i−iii−i−iii−i−ii-111-1-111-1-111-1
χ391-1-1111-1-11-1-1-11111-1-1-1-111−iii−i-11-1-111111-1-1-1111-1-1-111-1-1-1-111-1-111−iii−iii−i−iii−i−iii−i−i−iii−i−iii−i-1-1-1111-1-111-1-111-1-111i−i−i−iiii−ii−i−i−iii−i−iii−iii−i−iii−i−iii−i-111-1-111-1-111-1
χ401-1-1111-1-11-1-1-11111-1-1-1-111−iii−i-11-1-111111-1-1-1111-1-1-111-1-1-1-111-1-111−iii−i−i−iii−i−iii−i−iii−iii−i−iii−i-1-1-1111-1-111-1-111-1-111−iiii−i−i−ii−iiii−i−iii−i−i−iii−i−iii−i−iii−i1-1-111-1-111-1-11
χ411-1-1111-1-11-1-1-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−i−ii-11-1-1111−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iiii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14-11+i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−i−iiiζ22−ζ22ζ14−ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ141-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ421-1-1111-1-11-1-1-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−i−ii-11-1-1111−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−ii−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14-11+i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iiii−i−i−ζ22ζ22−ζ14ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14i−i−iiζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ431-1-1111-1-11-1-1-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−iii−i-11-1-1111−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−iii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14-11+i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−i−iiiζ22−ζ22ζ14−ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ441-1-1111-1-11-1-1-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−iii−i-11-1-1111−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14-11+i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iiii−i−i−ζ22ζ22−ζ14ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−iii−i−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ141-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ451-1-1111-1-11-1-1-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−i−ii-11-1-1111−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−iiii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22-11−i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−i−iiiζ14−ζ14ζ22−ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ221-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ461-1-1111-1-11-1-1-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−i−ii-11-1-1111−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−ii−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22-11−i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iiii−i−i−ζ14ζ14−ζ22ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22i−i−iiζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ471-1-1111-1-11-1-1-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−iii−i-11-1-1111−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−iii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22-11−i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−i−iiiζ14−ζ14ζ22−ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ481-1-1111-1-11-1-1-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−iii−i-11-1-1111−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22-11−i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iiii−i−i−ζ14ζ14−ζ22ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−iii−i−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ221-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4922222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222200000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ502222222222222222222222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111111000000000000
χ5122222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222222222-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222000000000000−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ5222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-2222222-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-2-2-20000000000001+i31+i31+i31+i31−i31−i31−i31−i3-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000000000001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ5322222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222222222-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222000000000000−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.