Finite Group Databasebeta

← Group #13141357

Character table — Group #13141357

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111111122222222222233333333333333334444444444444444666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order12222222344446666666336666666666666644441212121212121212121212123336666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212122244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111111111111−1−i32−1+i321111−1−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+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+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+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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111111111111−1−i32−1+i321111−1−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+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+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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ711111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i321111−1−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+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ811111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i321111−1−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+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−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
χ911111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111111111111−1+i32−1−i321111−1+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−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−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−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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ1011111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111111111111−1+i32−1−i321111−1+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−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−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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ1111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i321111−1+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−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ1211111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i321111−1+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−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+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
χ13111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ14111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ17111111111-1-1-1-11111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i321111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+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−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ18111111111-1-1-1-11111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i321111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+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+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ19111111111-1-1-1-11111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-1-1-1-1-111111−1−i32−1+i321111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ20111111111-1-1-1-11111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-1-1-1-1-111111−1−i32−1+i321111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ21111111111-1-1-1-11111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i321111−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−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+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ22111111111-1-1-1-11111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i321111−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−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−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ23111111111-1-1-1-11111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-1-1-1-1-111111−1+i32−1−i321111−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ24111111111-1-1-1-11111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-1-1-1-1-111111−1+i32−1−i321111−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ2511-11-11-1-1111-1-111-1-11-1-1111-11-11-11-11-11-1-1-1i−ii−i11-1-1ii−i−iii−i−i11111-1-111-1-111-1-11-1-11-1-11-1-111-1-111-1-1i−ii−ii−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-11-11-1
χ2611-11-11-1-1111-1-111-1-11-1-1111-11-11-11-11-11-1-1-1i−ii−i11-1-1ii−i−iii−i−i11111-1-111-1-111-1-11-1-11-1-11-1-111-1-111-1-1i−ii−ii−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii-11-11-11-11-11-11
χ2711-11-11-1-1111-1-111-1-11-1-1111-11-11-11-11-11-1-1-1−ii−ii11-1-1−i−iii−i−iii11111-1-111-1-111-1-11-1-11-1-11-1-111-1-111-1-1−ii−ii−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-11-11-11-11-11-11
χ2811-11-11-1-1111-1-111-1-11-1-1111-11-11-11-11-11-1-1-1−ii−ii11-1-1−i−iii−i−iii11111-1-111-1-111-1-11-1-11-1-11-1-111-1-111-1-1−ii−ii−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-11-11-11-11-1
χ2911-11-11-1-1111-1-111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32i−ii−i11-1-1ii−i−iii−i−i1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ711-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ3011-11-11-1-1111-1-111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32i−ii−i11-1-1ii−i−iii−i−i1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ711-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ3111-11-11-1-1111-1-111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32−ii−ii11-1-1−i−iii−i−iii1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ711-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ3211-11-11-1-1111-1-111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32−ii−ii11-1-1−i−iii−i−iii1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ711-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ3311-11-11-1-1111-1-111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32i−ii−i11-1-1ii−i−iii−i−i1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ1111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ3411-11-11-1-1111-1-111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32i−ii−i11-1-1ii−i−iii−i−i1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ1111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ3511-11-11-1-1111-1-111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32−ii−ii11-1-1−i−iii−i−iii1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ1111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ3611-11-11-1-1111-1-111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32−ii−ii11-1-1−i−iii−i−iii1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ1111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ3711-11-11-1-11-1-11111-1-11-1-1111-11-11-11-11-11-1-1-1i−i−ii-1-111ii−i−i−i−iii11111-1-111-1-111-1-11-1-11-1-11-1-1-1-111-1-111i−ii−i−ii−ii-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii-111-1-11-111-11-1
χ3811-11-11-1-11-1-11111-1-11-1-1111-11-11-11-11-11-1-1-1i−i−ii-1-111ii−i−i−i−iii11111-1-111-1-111-1-11-1-11-1-11-1-1-1-111-1-111i−ii−i−ii−ii-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i1-1-111-11-1-11-11
χ3911-11-11-1-11-1-11111-1-11-1-1111-11-11-11-11-11-1-1-1−iii−i-1-111−i−iiiii−i−i11111-1-111-1-111-1-11-1-11-1-11-1-1-1-111-1-111−ii−iii−ii−i-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii1-1-111-11-1-11-11
χ4011-11-11-1-11-1-11111-1-11-1-1111-11-11-11-11-11-1-1-1−iii−i-1-111−i−iiiii−i−i11111-1-111-1-111-1-11-1-11-1-11-1-1-1-111-1-111−ii−iii−ii−i-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i-111-1-11-111-11-1
χ4111-11-11-1-11-1-11111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32i−i−ii-1-111ii−i−i−i−iii1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ii−i−i−i−iiiζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ4211-11-11-1-11-1-11111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32i−i−ii-1-111ii−i−i−i−iii1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−i−iiiii−i−i−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ4311-11-11-1-11-1-11111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32−iii−i-1-111−i−iiiii−i−i1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ii−i−i−i−iiiζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ4411-11-11-1-11-1-11111-1-11-1-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321−i32−iii−i-1-111−i−iiiii−i−i1−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−i−iiiii−i−i−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ4511-11-11-1-11-1-11111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32i−i−ii-1-111ii−i−i−i−iii1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ii−i−i−i−iiiζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ4611-11-11-1-11-1-11111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32i−i−ii-1-111ii−i−i−i−iii1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−i−iiiii−i−i−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ4711-11-11-1-11-1-11111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32−iii−i-1-111−i−iiiii−i−i1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ii−i−i−i−iiiζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ4811-11-11-1-11-1-11111-1-11-1-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321+i32−iii−i-1-111−i−iiiii−i−i1−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−i−iiiii−i−i−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ492222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ50222222222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000
χ5122222222222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32222222222222222-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−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+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ5222222222222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−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+i32000000000000000000000000000000000000
χ5322222222222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32222222222222222-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+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−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ5422222222222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+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−i32000000000000000000000000000000000000
χ55222222222-2-2-2-22222222222222222222222222-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000
χ56222222222-2-2-2-222222222222222222222222-2-222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ57222222222-2-2-2-22222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2-2-22222-2-2-2-2-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000
χ58222222222-2-2-2-22222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-2-2-2-2-2-2-22222-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i31+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+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000000000000000000000000000
χ59222222222-2-2-2-22222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-2-2-2-2-22222-2-2-2-2-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000
χ60222222222-2-2-2-22222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-2-2-2-2-2-2-22222-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i31−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−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000000000000000000000000000
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χ62222-2-2-2-2222i−2i2i−2i2-22-2-22-2222222-2-2-2-2-2-2-2-22200002i−2i2i−2i00000000-1-1-1-11-11-11-11-11-111-111-111-112i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii−ii−ii3−33−3−i3i3−i3i33−33−3−i3i3−i3i33−33−3−i3i3−i3i3000000000000000000000000000000000000
χ63222-2-2-2-2222i−2i2i−2i2-22-2-22-2222222-2-2-2-2-2-2-2-22200002i−2i2i−2i00000000-1-1-1-11-11-11-11-11-111-111-111-112i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii−ii−ii−33−33i3−i3i3−i3−33−33i3−i3i3−i3−33−33i3−i3i3−i3000000000000000000000000000000000000
χ64222-2-2-2-2222i−2i2i−2i2-22-2-22-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1+i300002i−2i2i−2i000000002−1−i3−1+i32-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3-22-21+i3−1−i31+i31−i3−1+i31−i32ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7000000000000000000000000000000000000000000000000000000000000
χ65222-2-2-2-2222i−2i2i−2i2-22-2-22-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1+i300002i−2i2i−2i00000000-11+i321−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321-11−1−i321+i32−1−i32−1+i321−i32−1+i322ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ700000000−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ73−33−3−i3i3−i3i32ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−3+i323−i32−3+i323−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ113+i32−3−i323+i32−3−i32000000000000000000000000000000000000
χ66222-2-2-2-2222i−2i2i−2i2-22-2-22-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1+i300002i−2i2i−2i00000000-11+i321−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321-11−1−i321+i32−1−i32−1+i321−i32−1+i322ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ700000000−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−33−33i3−i3i3−i3−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ113−i32−3+i323−i32−3+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−3−i323+i32−3−i323+i32000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.