Finite Group Databasebeta

← Group #72225421

Character table — Group #72225421

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188
size111122222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order124422244488888888888888884444444444448888888888888888888816161616161616161616161616161616222244448888888888888888881616161616161616161616161616161616161616161616164444888816161616161616161616161616161616161616161616161616161616161616168888888816161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ17111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ20111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ21111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii
χ22111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i
χ23111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i
χ24111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii
χ25111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ26111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ27111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ28111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii
χ29111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ30111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ31111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ32111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ3311-1-11-1-11-1111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1iiii−i−i−i−i1-11-11-11-1ii−i−iii−i−ii−iiiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−ii−ii−i1-11-111-1-1ii−i−i11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ3411-1-11-1-11-1111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1iiii−i−i−i−i1-11-11-11-1ii−i−iii−i−ii−iiiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−ii−ii−i1-11-111-1-1ii−i−i11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ3511-1-11-1-11-1111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1iiii−i−i−i−i-11-11-11-11−i−iii−i−iiii−iiiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i−ii−ii-11-11-1-111−i−iii-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ3611-1-11-1-11-1111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1iiii−i−i−i−i-11-11-11-11−i−iii−i−iiii−iiiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i−ii−ii-11-11-1-111−i−iii-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ3711-1-11-1-11-1111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111−i−i−i−iiiii1-1-111-1-11ii−i−i−i−iiii−iiiii−i−i−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iiii−i−ii1-1-1111-1-1ii−i−i-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ3811-1-11-1-11-1111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111−i−i−i−iiiii1-1-111-1-11ii−i−i−i−iiii−iiiii−i−i−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iiii−i−ii1-1-1111-1-1ii−i−i-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
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χ1818-8−8i8i0000004i2−4i2−42424i2−4i2−42420000000000004-4−4i4i00002i2−2i24+2i2−4−2i22i2−2i24−2i2−4+2i2−2222−2ζ+4i+2ζ32ζ−4i−2ζ3−2222−2ζ−4i+2ζ32ζ+4i−2ζ300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1828-8−8i8i0000004i2−4i2−42424i2−4i2−42420000000000004-4−4i4i0000−2i22i2−4−2i24+2i2−2i22i2−4+2i24−2i222−222ζ−4i−2ζ3−2ζ+4i+2ζ322−222ζ+4i−2ζ3−2ζ−4i+2ζ300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1848-8−8i8i0000004i2−4i2−4242−4i24i242−42000000000000-444i−4i0000−4+2i24−2i2−2i22i24+2i2−4−2i22i2−2i2−2ζ−4i+2ζ32ζ+4i−2ζ322−22−2ζ+4i+2ζ32ζ−4i−2ζ322−2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1858-8−8i8i000000−4i24i242−424i2−4i2−4242000000000000-444i−4i00004+2i2−4−2i2−2i22i2−4+2i24−2i22i2−2i2−2ζ+4i+2ζ32ζ−4i−2ζ322−22−2ζ−4i+2ζ32ζ+4i−2ζ322−2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1868-8−8i8i000000−4i24i242−424i2−4i2−4242000000000000-444i−4i0000−4−2i24+2i22i2−2i24−2i2−4+2i2−2i22i22ζ−4i−2ζ3−2ζ+4i+2ζ3−22222ζ+4i−2ζ3−2ζ−4i+2ζ3−222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1878-8−8i8i000000−4i24i242−42−4i24i242−420000000000004-4−4i4i00002i2−2i2−4+2i24−2i22i2−2i2−4−2i24+2i2−2222−2ζ−4i+2ζ32ζ+4i−2ζ3−2222−2ζ+4i+2ζ32ζ−4i−2ζ300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1888-8−8i8i000000−4i24i242−42−4i24i242−420000000000004-4−4i4i0000−2i22i24−2i2−4+2i2−2i22i24+2i2−4−2i222−222ζ+4i−2ζ3−2ζ−4i+2ζ322−222ζ−4i−2ζ3−2ζ+4i+2ζ300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.