Finite Group Databasebeta

← Group #13157824

Character table — Group #13157824

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222222222444444444444444444444444444418181818181818182424242424242424242424241111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
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χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
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χ14322222-12222-1-1-122222-1-1-1-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i3−1−i3001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i3−1+i3001−i321−i321−i321−i320000
χ14422222-12222-1-1-122222-1-1-1-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20011110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000001+i31+i300−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000001−i31−i300−1+i32−1+i32−1+i32−1+i320000
χ14522222-12222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2-2-2111111111111000000002-200-1-1110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1−i31+i3001+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1+i31−i3001−i321−i32−1+i32−1+i320000
χ14622222-12222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2-2-211111111111100000000-220011-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000001+i3−1−i300−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000001−i3−1+i300−1+i32−1+i321−i321−i320000
χ1472222-1222-1-1222-12222-1-1-1-12-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000220000-1-1-1-1−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000−1−i3−1−i300001+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000−1+i3−1+i300001−i321−i321−i321−i32
χ1482222-1222-1-1222-12222-1-1-1-12-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-200001111−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000001+i31+i30000−1−i32−1−i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000001−i31−i30000−1+i32−1+i32−1+i32−1+i32
χ1492222-1222-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-11111-2-2-2-21111111100000000002-20000-1-111−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1−i31+i300001+i321+i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1+i31−i300001−i321−i32−1+i32−1+i32
χ1502222-1222-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-11111-2-2-2-2111111110000000000-22000011-1-1−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000001+i3−1−i30000−1−i32−1−i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000001−i3−1+i30000−1+i32−1+i321−i321−i32
χ15122-2-222002-22-2-2-222−2−222-2-20000000022−2−222−2−22222−2−2−2−22-20022−2−2000000000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i3−1−i31+i31+i300000000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13000000000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i3−1+i31−i31−i300000000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000000
χ15222-2-222002-22-2-2-222−2−222-2-20000000022−2−222−2−22222−2−2−2−2-2200−2−222000000000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i3−1−i31+i31+i300000000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ131+i3−1−i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13000000000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i3−1+i31−i31−i300000000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ231−i3−1+i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000000
χ15322-2-222002-22-2-2-2−2−22222-2-200000000−2−222−2−222−2−2−2−222222-200−2−222000000000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i3−1−i31+i31+i300000000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13000000000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i3−1+i31−i31−i300000000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000000
χ15422-2-222002-22-2-2-2−2−22222-2-200000000−2−222−2−222−2−2−2−22222-220022−2−2000000000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i3−1−i31+i31+i300000000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ131+i3−1−i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13000000000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i3−1+i31−i31−i300000000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ231−i3−1+i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000000
χ1552-22-22200-22-2-22-22−22−22-22-2000000002−22−22−22−222−2−222−2−2002i−2i−i2i2−i2i2000000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i31+i3−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1−i31+i3−1−i31+i300000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13002ζ22−2ζ22ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i31−i3ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1+i31−i3−1+i31−i300000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23002ζ14−2ζ14ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000000000
χ1562-22-22200-22-2-22-22−22−22-22-2000000002−22−22−22−222−2−222−2−200−2i2ii2−i2i2−i2000000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i31+i3−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1−i31+i3−1−i31+i300000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300−2ζ222ζ22−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i31−i3ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1+i31−i3−1+i31−i300000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300−2ζ142ζ14−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000000000
χ1572-22-22200-22-2-22-2−22−222-22-200000000−22−22−22−22−2−222−2−222002i−2ii2−i2i2−i2000000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i31+i3ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1−i31+i3−1−i31+i300000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13002ζ22−2ζ22−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i31−i3−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1+i31−i3−1+i31−i300000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23002ζ14−2ζ14−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.