Finite Group Databasebeta

← Group #13163233

Character table — Group #13163233

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
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χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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χ862222-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i323+i323+i32−3−i32−3−i32−3−i32003+i323+i323+i32−3−i32−3−i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i32−3+i32−3+i323−i323−i323−i3200−3+i32−3+i32−3+i323−i323−i323−i32000000
χ872222-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−3−i32−3−i32−3−i323+i323+i323+i3200−3−i32−3−i32−3−i323+i323+i323+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200003−i323−i323−i32−3+i32−3+i32−3+i32003−i323−i323−i32−3+i32−3+i32−3+i32000000
χ88222-12-1-122-12-1-122-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-1000000−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000
χ89222-12-1-122-12-1-122-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-211000000−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000
χ90222-12-1-122-12-1-1-2-2-1-122-1-1-1-1-12-1-1-2-12-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i31−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32003+i32−3−i3203+i32−3−i3203+i32−3−i323+i32−3−i3203+i32−3−i3203+i32−3−i32000000−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i31+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−3+i323−i320−3+i323−i320−3+i323−i32−3+i323−i320−3+i323−i320−3+i323−i32000000
χ91222-12-1-122-12-1-1-2-2-1-122-1-1-1-1-12-1-1-2-12-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i31−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−3−i323+i320−3−i323+i320−3−i323+i32−3−i323+i320−3−i323+i320−3−i323+i32000000−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i31+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32003−i32−3+i3203−i32−3+i3203−i32−3+i323−i32−3+i3203−i32−3+i3203−i32−3+i32000000
χ92222-1-12-122-1-12-122-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-12000000−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000000−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000000
χ93222-1-12-122-1-12-122-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-2000000−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3000000−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3000000
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χ146111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32
χ147111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ148111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i32−1+i32−1+i32
χ14911-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+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+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+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−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−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−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ15011-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+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+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+i32−1−i321+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+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−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−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−i32−1+i321−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−i32−1+i32−1+i321−i32−1+i32
χ15111-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+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+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+i32−1−i321+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−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−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−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−i32−1+i321−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+i32−1+i321−i321−i321−i32−1+i32
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χ1562222-1-1-1222-1-1-12222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ1572222-1-1-1222-1-1-12222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ1582222-1-1-1222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i32−3+i32−3+i323−i323−i323−i3200−3+i32−3+i32−3+i323−i323−i323−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i323+i323+i32−3−i32−3−i32−3−i32003+i323+i323+i32−3−i32−3−i32−3−i32000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.