Finite Group Databasebeta

← Group #72243559

Character table — Group #72243559

Order 4374.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111111111222222222333333333333333333333333666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666999999999272727272727272727272727272727272727272727272727272727272727272727272727272727272727545454545454545454545454545454545454818181818181818181818181818181818181
order133333333333333333333333999999999999999999333333999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266666666666666999999999999999999181818181818181818181818181818181818999999999999999999181818181818181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ7111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+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−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ8111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−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+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ9111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ10111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+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+i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32
χ11111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i32
χ12111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1
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χ14111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
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χ63222222222222222222222222−1−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+i3−1+i3222222−1−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+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i30000000000000000001+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32000000000000000000
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χ65222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3−1−i32−1+i30000000000000000001−i321+i32-11−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i321+i32-11−i32000000000000000000
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χ67222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1−i3−1−i3−1−i3222−1+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−i3222−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32-11−i321+i321−i321+i32-11+i32-11−i32000000000000000000
χ68222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1−i3−1−i3−1−i3222−1+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−i3222−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1−i32−1+i32−1+i3−1−i3−1+i3−1−i320000000000000000001−i321+i32-11+i32-11−i32-11−i321+i321+i32-11−i32-11−i321+i321−i321+i32-1000000000000000000
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χ2166−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-36−3−3i3−3+3i36−3−3i3−3+3i3000000000000000000-33+3i323−3i32-33+3i323−3i320000000000000000000000000000000000000000000003ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ73ζ43ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ73ζ43ζ3ζ3ζ73ζ43ζ43ζ3ζ73ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ23ζ83ζ53ζ23ζ23ζ83ζ53ζ53ζ23ζ83ζ83ζ23ζ53ζ53ζ83ζ23ζ23ζ53ζ8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2176−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3−3+3i36−3−3i3−3−3i3−3+3i360000000000000000003−3i32-33+3i323+3i323−3i32-30000000000000000000000000000000000000000000003ζ3ζ73ζ43ζ73ζ43ζ3ζ43ζ3ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ3ζ43ζ73ζ73ζ43ζ3ζ3ζ73ζ43ζ43ζ3ζ73ζ23ζ83ζ53ζ83ζ53ζ23ζ53ζ23ζ83ζ83ζ53ζ23ζ23ζ83ζ53ζ53ζ23ζ83ζ23ζ53ζ83ζ83ζ23ζ53ζ53ζ83ζ2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2186−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3−3+3i36−3−3i3−3−3i3−3+3i360000000000000000003−3i32-33+3i323+3i323−3i32-30000000000000000000000000000000000000000000003ζ43ζ3ζ73ζ3ζ73ζ43ζ73ζ43ζ3ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ3ζ73ζ43ζ43ζ3ζ73ζ73ζ43ζ3ζ83ζ53ζ23ζ53ζ23ζ83ζ23ζ83ζ53ζ53ζ23ζ83ζ83ζ53ζ23ζ23ζ83ζ53ζ83ζ23ζ53ζ53ζ83ζ23ζ23ζ53ζ8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2196−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3−3+3i36−3−3i3−3−3i3−3+3i360000000000000000003−3i32-33+3i323+3i323−3i32-30000000000000000000000000000000000000000000003ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ73ζ43ζ43ζ73ζ3ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ3ζ73ζ73ζ43ζ3ζ3ζ73ζ43ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ23ζ23ζ83ζ53ζ53ζ23ζ83ζ83ζ53ζ23ζ53ζ83ζ23ζ23ζ53ζ83ζ83ζ23ζ5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2206−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3−3−3i3−3+3i36−3+3i36−3−3i30000000000000000003+3i323−3i32-33−3i32-33+3i320000000000000000000000000000000000000000000003ζ3ζ73ζ43ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ43ζ3ζ73ζ73ζ43ζ3ζ3ζ73ζ43ζ23ζ83ζ53ζ83ζ53ζ23ζ53ζ23ζ83ζ23ζ83ζ53ζ53ζ23ζ83ζ83ζ53ζ23ζ83ζ23ζ53ζ53ζ83ζ23ζ23ζ53ζ8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2216−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3−3−3i3−3+3i36−3+3i36−3−3i30000000000000000003+3i323−3i32-33−3i32-33+3i320000000000000000000000000000000000000000000003ζ43ζ3ζ73ζ3ζ73ζ43ζ73ζ43ζ3ζ43ζ73ζ3ζ3ζ43ζ73ζ73ζ3ζ43ζ73ζ43ζ3ζ3ζ73ζ43ζ43ζ3ζ73ζ83ζ53ζ23ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ23ζ23ζ83ζ53ζ53ζ23ζ83ζ53ζ83ζ23ζ23ζ53ζ83ζ83ζ23ζ5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2226−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3−3−3i3−3+3i36−3+3i36−3−3i30000000000000000003+3i323−3i32-33−3i32-33+3i320000000000000000000000000000000000000000000003ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ73ζ43ζ73ζ3ζ43ζ43ζ73ζ3ζ3ζ43ζ73ζ3ζ73ζ43ζ43ζ3ζ73ζ73ζ43ζ3ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ23ζ53ζ23ζ83ζ83ζ53ζ23ζ23ζ83ζ53ζ23ζ53ζ83ζ83ζ23ζ53ζ53ζ83ζ2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2236−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i36−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i30000006ζ26ζ86ζ50000006ζ46ζ6ζ70000000000006ζ26ζ86ζ50000006ζ46ζ6ζ7000000-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000−3ζ2−3ζ2−3ζ2−3ζ8−3ζ8−3ζ8−3ζ5−3ζ5−3ζ5000000000000000000−3ζ4−3ζ4−3ζ4−3ζ−3ζ−3ζ−3ζ7−3ζ7−3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2246−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i36−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i30000006ζ56ζ26ζ80000006ζ6ζ76ζ40000000000006ζ56ζ26ζ80000006ζ6ζ76ζ4000000-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000−3ζ5−3ζ5−3ζ5−3ζ2−3ζ2−3ζ2−3ζ8−3ζ8−3ζ8000000000000000000−3ζ−3ζ−3ζ−3ζ7−3ζ7−3ζ7−3ζ4−3ζ4−3ζ4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2256−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i36−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i30000006ζ86ζ56ζ20000006ζ76ζ46ζ0000000000006ζ86ζ56ζ20000006ζ76ζ46ζ000000-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000−3ζ8−3ζ8−3ζ8−3ζ5−3ζ5−3ζ5−3ζ2−3ζ2−3ζ2000000000000000000−3ζ7−3ζ7−3ζ7−3ζ4−3ζ4−3ζ4−3ζ−3ζ−3ζ000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2266−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ26ζ86ζ50000006ζ46ζ6ζ7000000000000−3ζ2−3ζ8−3ζ5000000−3ζ4−3ζ−3ζ70000000000000003ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ23ζ53ζ83ζ83ζ23ζ53ζ53ζ83ζ20000000003−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323ζ3ζ73ζ43ζ73ζ43ζ3ζ43ζ3ζ70000000003ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ2−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2276−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ26ζ86ζ50000006ζ46ζ6ζ7000000000000−3ζ2−3ζ8−3ζ5000000−3ζ4−3ζ−3ζ70000000000000003ζ43ζ73ζ3ζ3ζ43ζ73ζ73ζ3ζ43ζ83ζ23ζ53ζ53ζ83ζ23ζ23ζ53ζ8000000000−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i3233ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ73ζ40000000003ζ83ζ53ζ23ζ53ζ23ζ83ζ23ζ83ζ53−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2286−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ26ζ86ζ50000006ζ46ζ6ζ7000000000000−3ζ2−3ζ8−3ζ5000000−3ζ4−3ζ−3ζ70000000000000003ζ73ζ3ζ43ζ43ζ73ζ3ζ3ζ43ζ73ζ53ζ83ζ23ζ23ζ53ζ83ζ83ζ23ζ5000000000−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i323ζ43ζ3ζ73ζ3ζ73ζ43ζ73ζ43ζ0000000003ζ23ζ83ζ53ζ83ζ53ζ23ζ53ζ23ζ8−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2296−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ56ζ26ζ80000006ζ6ζ76ζ4000000000000−3ζ5−3ζ2−3ζ8000000−3ζ−3ζ7−3ζ40000000000000003ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ23ζ53ζ83ζ83ζ23ζ53ζ53ζ83ζ2000000000−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i3233ζ43ζ3ζ73ζ3ζ73ζ43ζ73ζ43ζ0000000003ζ23ζ83ζ53ζ83ζ53ζ23ζ53ζ23ζ83−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2306−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ56ζ26ζ80000006ζ6ζ76ζ4000000000000−3ζ5−3ζ2−3ζ8000000−3ζ−3ζ7−3ζ40000000000000003ζ43ζ73ζ3ζ3ζ43ζ73ζ73ζ3ζ43ζ83ζ23ζ53ζ53ζ83ζ23ζ23ζ53ζ8000000000−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i323ζ3ζ73ζ43ζ73ζ43ζ3ζ43ζ3ζ70000000003ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ2−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2316−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ56ζ26ζ80000006ζ6ζ76ζ4000000000000−3ζ5−3ζ2−3ζ8000000−3ζ−3ζ7−3ζ40000000000000003ζ73ζ3ζ43ζ43ζ73ζ3ζ3ζ43ζ73ζ53ζ83ζ23ζ23ζ53ζ83ζ83ζ23ζ50000000003−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ73ζ40000000003ζ83ζ53ζ23ζ53ζ23ζ83ζ23ζ83ζ5−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2326−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ86ζ56ζ20000006ζ76ζ46ζ000000000000−3ζ8−3ζ5−3ζ2000000−3ζ7−3ζ4−3ζ0000000000000003ζ3ζ43ζ73ζ73ζ3ζ43ζ43ζ73ζ3ζ23ζ53ζ83ζ83ζ23ζ53ζ53ζ83ζ2000000000−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i323ζ73ζ43ζ3ζ43ζ3ζ73ζ3ζ73ζ40000000003ζ83ζ53ζ23ζ53ζ23ζ83ζ23ζ83ζ5−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2336−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ86ζ56ζ20000006ζ76ζ46ζ000000000000−3ζ8−3ζ5−3ζ2000000−3ζ7−3ζ4−3ζ0000000000000003ζ43ζ73ζ3ζ3ζ43ζ73ζ73ζ3ζ43ζ83ζ23ζ53ζ53ζ83ζ23ζ23ζ53ζ80000000003−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323ζ43ζ3ζ73ζ3ζ73ζ43ζ73ζ43ζ0000000003ζ23ζ83ζ53ζ83ζ53ζ23ζ53ζ23ζ8−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2346−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000006ζ86ζ56ζ20000006ζ76ζ46ζ000000000000−3ζ8−3ζ5−3ζ2000000−3ζ7−3ζ4−3ζ0000000000000003ζ73ζ3ζ43ζ43ζ73ζ3ζ3ζ43ζ73ζ53ζ83ζ23ζ23ζ53ζ83ζ83ζ23ζ5000000000−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i3233ζ3ζ73ζ43ζ73ζ43ζ3ζ43ζ3ζ70000000003ζ53ζ23ζ83ζ23ζ83ζ53ζ83ζ53ζ23−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.