Finite Group Databasebeta

← Group #13142445

Character table — Group #13142445

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248
size11112222222222333333336666666666666666666666666666181818181818181818181818111122222222223333333366666666666666666666666666661818181818181818181818181111222222222233333333666666666666666666666666666618181818181818181818181811112222222222333333336666666666666666666666666666181818181818181818181818
order1222344666121212123366666699912121212181818181818181818363636363636363636363636224466661212121244441244121212121212121212121212121212363636121212123636363636363636363636363636363636363636364444121212121212121222226446661212121266666666181818121212121818181818181818183636363636363636363636362244666612121212444412441212121212121212121212121212123636361212121236363636363636363636363636363636363636363644441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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
χ411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ711111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ811111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ911111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1011111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ1211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1311-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−ii−i11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−ii−i11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−ii−i11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−ii−i
χ1411-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i-11−ii-11-11−ii−ii11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i-11−ii-11-11−ii−ii11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i-11−ii-11-11−ii−ii11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i-11−ii-11-11−ii−ii
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χ2011-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii-11i−i-11-11i−ii−i11-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii-11i−i-11-11i−ii−i11-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii-11i−i-11-11i−ii−i11-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii-11i−i-11-11i−ii−i
χ2111-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ711-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ711-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ711-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7
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χ252222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2622222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ2722222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000022222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000022222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000022222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ2822222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-111111111111100000000000022222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-111111111111100000000000022222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-111111111111100000000000022222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000
χ2922222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000022222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000022222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000022222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
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χ12711111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-11+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−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-11+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−i32
χ12811111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-11+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+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-11+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
χ12911111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-11−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+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-11−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+i32
χ13011111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-11−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−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-11−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
χ13111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111
χ13211111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1
χ13311111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−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+i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−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
χ13411111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−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−i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−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
χ13511111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+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−i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+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
χ13611111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+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+i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+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
χ13711-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−ii−i-1-111-1−ii-111−i−iii-1-1-1-11111-1-1-1−ii−ii-11-11-11111−i−iii−i−iii−i−iii-11−ii-11-11−ii−ii11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−ii−i-1-111-1−ii-111−i−iii-1-1-1-11111-1-1-1−ii−ii-11-11-11111−i−iii−i−iii−i−iii-11−ii-11-11−ii−ii
χ13811-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i-11−ii-11-11−ii−ii-1-111-1−ii-111−i−iii-1-1-1-11111-1-1-1−ii−ii-11-11-11111−i−iii−i−iii−i−iii1-1i−i1-11-1i−ii−i11-1-11i−i1-1-1ii−i−i1111-1-1-1-1111i−ii−i1-11-11-1-1-1-1ii−i−iii−i−iii−i−i-11−ii-11-11−ii−ii-1-111-1−ii-111−i−iii-1-1-1-11111-1-1-1−ii−ii-11-11-11111−i−iii−i−iii−i−iii1-1i−i1-11-1i−ii−i
χ13911-1-11i−i1-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32ζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1i−i−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7-1-111-1−ii-111−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11−ii1+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ711-1-11i−i1-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32ζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1i−i−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7-1-111-1−ii-111−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11−ii1+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7
χ14011-1-11i−i1-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32ζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11−ii1+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7-1-111-1−ii-111−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1i−i−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ711-1-11i−i1-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32ζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11−ii1+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7-1-111-1−ii-111−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1i−i−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7
χ14111-1-11i−i1-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1i−i−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11-1-111-1−ii-111−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11−ii1−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ1111-1-11i−i1-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1i−i−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11-1-111-1−ii-111−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11−ii1−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ11
χ14211-1-11i−i1-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11−ii1−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ11-1-111-1−ii-111−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1i−i−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1111-1-11i−i1-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11−ii1−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ11-1-111-1−ii-111−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1i−i−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11
χ14311-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii1-1−ii1-11-1−ii−ii-1-111-1i−i-111ii−i−i-1-1-1-11111-1-1-1i−ii−i-11-11-11111ii−i−iii−i−iii−i−i-11i−i-11-11i−ii−i11-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii1-1−ii1-11-1−ii−ii-1-111-1i−i-111ii−i−i-1-1-1-11111-1-1-1i−ii−i-11-11-11111ii−i−iii−i−iii−i−i-11i−i-11-11i−ii−i
χ14411-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii-11i−i-11-11i−ii−i-1-111-1i−i-111ii−i−i-1-1-1-11111-1-1-1i−ii−i-11-11-11111ii−i−iii−i−iii−i−i1-1−ii1-11-1−ii−ii11-1-11−ii1-1-1−i−iii1111-1-1-1-1111−ii−ii1-11-11-1-1-1-1−i−iii−i−iii−i−iii-11i−i-11-11i−ii−i-1-111-1i−i-111ii−i−i-1-1-1-11111-1-1-1i−ii−i-11-11-11111ii−i−iii−i−iii−i−i1-1−ii1-11-1−ii−ii
χ14511-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7-1-111-1i−i-111ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32ζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11i−i1+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ711-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7-1-111-1i−i-111ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32ζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11i−i1+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ7
χ14611-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11i−i1+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ7-1-111-1i−i-111ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32ζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ711-1-11−ii1-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11i−i1+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ7-1-111-1i−i-111ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32ζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7
χ14711-1-11−ii1-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−ii−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ11-1-111-1i−i-111ii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32ζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11i−i1−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1111-1-11−ii1-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−ii−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ11-1-111-1i−i-111ii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32ζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11i−i1−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ11
χ14811-1-11−ii1-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11i−i1−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ11-1-111-1i−i-111ii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32ζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1−ii−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1111-1-11−ii1-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11i−i1−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ11-1-111-1i−i-111ii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32ζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1−ii−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ11
χ1492222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2-2-21111111111111111111110000000000002222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2-2-2111111111111111111111000000000000
χ15022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i31−1−i32−1+i321+i31+i31−i31−i311−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i31−1−i32−1+i321+i31+i31−i31−i311−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ15122222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i31−1+i32−1−i321−i31−i31+i31+i311−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000022222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i31−1+i32−1−i321−i31−i31+i31+i311−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ15222222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000-2-2-2-2-222-2-2-22222-2-2-2-2-2-2-2-21112222111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000022222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000-2-2-2-2-222-2-2-22222-2-2-2-2-2-2-2-21112222111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ15322222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-2-2-2-2-222-2-2-222221+i31−i31+i31−i31+i31−i31+i31−i31−1−i32−1+i32−1−i3−1−i3−1+i3−1+i311−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000022222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-2-2-2-2-222-2-2-222221+i31−i31+i31−i31+i31−i31+i31−i31−1−i32−1+i32−1−i3−1−i3−1+i3−1+i311−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
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χ15822-2-22−2i2i2-2-2−2i−2i2i2i2222-2-2-2-2-1-1-1−2i2i−2i2i-11-11-11111ii−i−iii−i−iii−i−i000000000000-2-222-22i−2i-2222i2i−2i−2i-2-2-2-222221112i−2i2i−2i1-11-11-1-1-1-1−i−iii−i−iii−i−iii00000000000022-2-22−2i2i2-2-2−2i−2i2i2i2222-2-2-2-2-1-1-1−2i2i−2i2i-11-11-11111ii−i−iii−i−iii−i−i000000000000-2-222-22i−2i-2222i2i−2i−2i-2-2-2-222221112i−2i2i−2i1-11-11-1-1-1-1−i−iii−i−iii−i−iii000000000000
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χ1612-22-2200-2-22000022-2-222-2-22220000-2-2-2-2-2-2222000000000000000000000000-22-22-20022-20000-2-222-2-222-2-2-20000222222-2-2-20000000000000000000000002-22-2200-2-22000022-2-222-2-22220000-2-2-2-2-2-2222000000000000000000000000-22-22-20022-20000-2-222-2-222-2-2-20000222222-2-2-2000000000000000000000000
χ1622-22-2200-2-22000022-2-222-2-2-1-1-10000111111-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000-22-22-20022-20000-2-222-2-2221110000-1-1-1-1-1-1111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000002-22-2200-2-22000022-2-222-2-2-1-1-10000111111-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000-22-22-20022-20000-2-222-2-2221110000-1-1-1-1-1-1111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000
χ1632-22-2200-2-22000022-2-222-2-2-1-1-10000111111-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000-22-22-20022-20000-2-222-2-2221110000-1-1-1-1-1-1111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000002-22-2200-2-22000022-2-222-2-2-1-1-10000111111-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000-22-22-20022-20000-2-222-2-2221110000-1-1-1-1-1-1111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.