Finite Group Databasebeta

← Group #13135569

Character table — Group #13135569

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1111222222222222223333333344444444444444446666666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order1222223444466666663366666644441212121212121212121212126666999121212121212121218181818181818181818181818181818181818181812121212121212123636363636363636363636363636363636363636363636363636363636363636363636368888888824242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321−1−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+i321111−1−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+i32
χ6111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321−1−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+i321111−1−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
χ7111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321−1−i32−1+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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ8111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−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+i321−1−i32−1+i321−1−i32−1+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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ9111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i321−1+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−i321111−1+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−i32
χ10111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i321−1+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−i321111−1+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
χ11111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i321−1+i32−1−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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ12111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i321−1+i32−1−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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ141111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ151111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii
χ161111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i
χ171111111-1-1-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111−1−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+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−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ181111111-1-1-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111−1−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+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−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ191111111-1-1-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111−1−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−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−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ii−i−i−i−iiiζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ201111111-1-1-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111−1−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−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−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−i−iiiii−i−i−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ211111111-1-1-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111−1+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−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+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ221111111-1-1-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111−1+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−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+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ231111111-1-1-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111−1+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+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+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ii−i−i−i−iiiζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ241111111-1-1-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111−1+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+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+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−i−iiiii−i−i−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ251-11-11-11ii−i−i11-1-1-11-111-1-111-1-11-1i−i11-1-1ii−i−iii−i−i1-11-1111ii−i−iii−i−i11-1-1-111-1-1-111-1-1-1111-1-1-11-11-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ261-11-11-11ii−i−i11-1-1-11-111-1-111-1-11-1i−i11-1-1ii−i−iii−i−i1-11-1111ii−i−iii−i−i11-1-1-111-1-1-111-1-1-1111-1-1-11-11-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ271-11-11-11ii−i−i11-1-1-11-111-1-111-1-1-11−ii-1-111ii−i−i−i−iii1-11-1111ii−i−iii−i−i11-1-1-111-1-1-111-1-1-1111-1-1-1-11-11−ii−ii-1-111-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ281-11-11-11ii−i−i11-1-1-11-111-1-111-1-1-11−ii-1-111ii−i−i−i−iii1-11-1111ii−i−iii−i−i11-1-1-111-1-1-111-1-1-1111-1-1-1-11-11−ii−ii-1-111-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ291-11-11-11ii−i−i11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1i−i11-1-1ii−i−iii−i−i−1−i321+i32−1+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i32ζ22−ζ22ζ14−ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5
χ301-11-11-11ii−i−i11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1i−i11-1-1ii−i−iii−i−i−1−i321+i32−1+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i32ζ22−ζ22ζ14−ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
χ311-11-11-11ii−i−i11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-11−ii-1-111ii−i−i−i−iii−1−i321+i32−1+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i32−ζ22ζ22−ζ14ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
χ321-11-11-11ii−i−i11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-11−ii-1-111ii−i−i−i−iii−1−i321+i32−1+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i32−ζ22ζ22−ζ14ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5
χ331-11-11-11ii−i−i11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1i−i11-1-1ii−i−iii−i−i−1+i321−i32−1−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i32ζ14−ζ14ζ22−ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13
χ341-11-11-11ii−i−i11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1i−i11-1-1ii−i−iii−i−i−1+i321−i32−1−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i32ζ14−ζ14ζ22−ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13
χ351-11-11-11ii−i−i11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-11−ii-1-111ii−i−i−i−iii−1+i321−i32−1−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i32−ζ14ζ14−ζ22ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13
χ361-11-11-11ii−i−i11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-11−ii-1-111ii−i−i−i−iii−1+i321−i32−1−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i32−ζ14ζ14−ζ22ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13
χ371-11-11-11−i−iii11-1-1-11-111-1-111-1-11-1−ii11-1-1−i−iii−i−iii1-11-1111−i−iii−i−iii11-1-1-111-1-1-111-1-1-1111-1-1-11-11-1−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ381-11-11-11−i−iii11-1-1-11-111-1-111-1-11-1−ii11-1-1−i−iii−i−iii1-11-1111−i−iii−i−iii11-1-1-111-1-1-111-1-1-1111-1-1-11-11-1−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ391-11-11-11−i−iii11-1-1-11-111-1-111-1-1-11i−i-1-111−i−iiiii−i−i1-11-1111−i−iii−i−iii11-1-1-111-1-1-111-1-1-1111-1-1-1-11-11i−ii−i-1-111-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ401-11-11-11−i−iii11-1-1-11-111-1-111-1-1-11i−i-1-111−i−iiiii−i−i1-11-1111−i−iii−i−iii11-1-1-111-1-1-111-1-1-1111-1-1-1-11-11i−ii−i-1-111-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ411-11-11-11−i−iii11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1−ii11-1-1−i−iii−i−iii−1−i321+i32−1+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i32−ζ22ζ22−ζ14ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23
χ421-11-11-11−i−iii11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1−ii11-1-1−i−iii−i−iii−1−i321+i32−1+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i32−ζ22ζ22−ζ14ζ1411-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23
χ431-11-11-11−i−iii11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-11i−i-1-111−i−iiiii−i−i−1−i321+i32−1+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i32ζ22−ζ22ζ14−ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23
χ441-11-11-11−i−iii11-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-11i−i-1-111−i−iiiii−i−i−1−i321+i32−1+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-1-1−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i32ζ22−ζ22ζ14−ζ14-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23
χ451-11-11-11−i−iii11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1−ii11-1-1−i−iii−i−iii−1+i321−i32−1−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i32−ζ14ζ14−ζ22ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7
χ461-11-11-11−i−iii11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1−ii11-1-1−i−iii−i−iii−1+i321−i32−1−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i32−ζ14ζ14−ζ22ζ2211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7
χ471-11-11-11−i−iii11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-11i−i-1-111−i−iiiii−i−i−1+i321−i32−1−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i32ζ14−ζ14ζ22−ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7
χ481-11-11-11−i−iii11-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-11i−i-1-111−i−iiiii−i−i−1+i321−i32−1−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-1-1−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i32ζ14−ζ14ζ22−ζ22-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7
χ492222222222222222222222222222222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ5022222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ51222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222222222222222−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ52222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-2-2-22222-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i321+i31+i31−i31−i31+i31+i31−i31−i31111−1−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−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ53222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222222222222222−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ54222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-2-2-22222-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i321−i31−i31+i31+i31−i31−i31+i31+i31111−1+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+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ552222222-2-2-2-222222222222222222-2-22222-2-2-2-2-2-2-2-22222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000
χ562222222-2-2-2-2222222222222222-2-222-2-2-2-2-2-2-2-222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ572222222-2-2-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-22222-2-2-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ582222222-2-2-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2-2-2-2-2-2-22222−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ592222222-2-2-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-22222-2-2-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ602222222-2-2-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-222-2-2-2-2-2-2-2-22222−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ612222-2-222-22-2-2-22-2-22222222222000000002-22-20000-2-2-2-22222-22-22-22-2-2-22-2-2-2-22-2-2-2-22-2-2222222000000000000000000002-22-22-22-22-22-2000000000000000000000000000000000000
χ622222-2-222-22-2-2-22-2-22222222222000000002-22-20000-2-2-2-2-1-1-12-22-22-22-211-11111-11111-111-1-1-1-1-1-100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ632222-2-222-22-2-2-22-2-22222222222000000002-22-20000-2-2-2-2-1-1-12-22-22-22-211-11111-11111-111-1-1-1-1-1-100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ642222-2-222-22-2-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3000000002-22-200001+i31+i31−i31−i32−1−i3−1+i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3-2-22-2-21+i31+i3−1−i31+i31+i31−i31−i3−1+i31−i31−i32−1−i3−1+i32−1−i3−1+i3000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3000000000000000000000000000000000000
χ652222-2-222-22-2-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3000000002-22-200001+i31+i31−i31−i3-11+i321−i32−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i311-111−1−i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32-11+i321−i32-11+i321−i3200000000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000000000000000
χ662222-2-222-22-2-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3000000002-22-200001+i31+i31−i31−i3-11+i321−i32−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i311-111−1−i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32-11+i321−i32-11+i321−i3200000000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000000000000000
χ672222-2-222-22-2-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3000000002-22-200001−i31−i31+i31+i32−1+i3−1−i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3-2-22-2-21−i31−i3−1+i31−i31−i31+i31+i3−1−i31+i31+i32−1+i3−1−i32−1+i3−1−i3000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3000000000000000000000000000000000000
χ682222-2-222-22-2-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3000000002-22-200001−i31−i31+i31+i3-11−i321+i32−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i311-111−1+i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32-11−i321+i32-11−i321+i3200000000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000000000000000
χ692222-2-222-22-2-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3000000002-22-200001−i31−i31+i31+i3-11−i321+i32−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i311-111−1+i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32-11−i321+i32-11−i321+i3200000000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000000000000000
χ702222-2-22-22-22-2-22-2-2222222222200000000-22-220000-2-2-2-2222-22-22-22-22-2-22-2-2-2-22-2-2-2-22-2-222222200000000000000000000-22-22-22-22-22-22000000000000000000000000000000000000
χ712222-2-22-22-22-2-22-2-2222222222200000000-22-220000-2-2-2-2-1-1-1-22-22-22-2211-11111-11111-111-1-1-1-1-1-100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-11-11-11-11-11-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ722222-2-22-22-22-2-22-2-2222222222200000000-22-220000-2-2-2-2-1-1-1-22-22-22-2211-11111-11111-111-1-1-1-1-1-100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-11-11-11-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ732222-2-22-22-22-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300000000-22-2200001+i31+i31−i31−i32−1−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3-2-22-2-21+i31+i3−1−i31+i31+i31−i31−i3−1+i31−i31−i32−1−i3−1+i32−1−i3−1+i300000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3000000000000000000000000000000000000
χ742222-2-22-22-22-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300000000-22-2200001+i31+i31−i31−i3-11+i321−i321+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i311-111−1−i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32-11+i321−i32-11+i321−i3200000000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000000000000000
χ752222-2-22-22-22-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300000000-22-2200001+i31+i31−i31−i3-11+i321−i321+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i311-111−1−i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32-11+i321−i32-11+i321−i3200000000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.