Finite Group Databasebeta

← Group #72319028

Character table — Group #72319028

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111111222222222222444444444444888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232321111111122222222222244444444444488888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161632323232
order1222222244444444444422448888888822224444448888888888888888222244448888888888888816161616161616161616161616161616448822222222444444444444224488888888222244444488888888888888882222444488888888888888161616161616161616161616161616164488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ511111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ811111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ911111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ1211111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1411111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ1511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ171111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i
χ181111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-1i−i−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11−ii1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-1i−i−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11−ii
χ191111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−ii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−ii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii
χ201111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-1−iiii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11i−i1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-1−iiii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11i−i
χ211111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1ii−i−iii−i−iii−i−i-1-111-1-111i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-1i−i1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1ii−i−iii−i−iii−i−i-1-111-1-111i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-1i−i
χ221111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1ii−i−iii−i−iii−i−i-1-1-1-11111i−i−i−iii−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1ii−i−iii−i−iii−i−i-1-1-1-11111i−i−i−iii−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii
χ231111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1−i−iii−i−iii−i−iii-1-111-1-111−ii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-1−ii1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1−i−iii−i−iii−i−iii-1-111-1-111−ii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-1−ii
χ241111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1−i−iii−i−iii−i−iii-1-1-1-11111−iiii−i−iii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-11i−i1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1−i−iii−i−iii−i−iii-1-1-1-11111−iiii−i−iii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-11i−i
χ251111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111ii−i−iii−i−i−i−iii-1-111-1-111−iiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-11−ii1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111ii−i−iii−i−i−i−iii-1-111-1-111−iiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-11−ii
χ261111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111ii−i−iii−i−i−i−iii-1-1-1-11111−ii−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1-1i−i1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111ii−i−iii−i−i−i−iii-1-1-1-11111−ii−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1-1i−i
χ271111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111−i−iii−i−iiiii−i−i-1-111-1-111i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-11i−i1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111−i−iii−i−iiiii−i−i-1-111-1-111i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-11i−i
χ281111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111−i−iii−i−iiiii−i−i-1-1-1-11111i−iii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1-1−ii1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111−i−iii−i−iiiii−i−i-1-1-1-11111i−iii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1-1−ii
χ291111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111ii−i−iii−i−i−i−iii1111-1-1-1-1−iiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-11−ii1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111ii−i−iii−i−i−i−iii1111-1-1-1-1−iiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-11−ii
χ301111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111ii−i−iii−i−i−i−iii11-1-111-1-1−ii−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii1-1i−i1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111ii−i−iii−i−i−i−iii11-1-111-1-1−ii−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii1-1i−i
χ311111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111−i−iii−i−iiiii−i−i1111-1-1-1-1i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-11i−i1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111−i−iii−i−iiiii−i−i1111-1-1-1-1i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-11i−i
χ321111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111−i−iii−i−iiiii−i−i11-1-111-1-1i−iii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i1-1−ii1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111−i−iii−i−iiiii−i−i11-1-111-1-1i−iii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i1-1−ii
χ33222222222222222222222222-2-2-2-2-2-2-2-20000220000-2-2-2-22222-2-2-2-2-2-2-2-2000000002200000000000000000000000000000000222222222222222222222222-2-2-2-2-2-2-2-20000220000-2-2-2-22222-2-2-2-2-2-2-2-2000000002200000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-20000220000-2-2-2-2-2-2-2-22222222200000000-2-200000000000000000000000000000000222222222222222222222222-2-2-2-2-2-2-2-20000220000-2-2-2-2-2-2-2-22222222200000000-2-200000000000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2000022222222-2-2-2-2222200000000-2-20000000000000000000000000000000022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2000022222222-2-2-2-2222200000000-2-200000000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-200002222-2-2-2-22222-2-2-2-200000000220000000000000000000000000000000022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-200002222-2-2-2-22222-2-2-2-2000000002200000000000000000000000000000000
χ372222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222200002-20000-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i000000000000000000000000000000002222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222200002-20000-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i00000000000000000000000000000000
χ382222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222200002-20000-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i000000000000000000000000000000002222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222200002-20000-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i00000000000000000000000000000000
χ392222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-222220000-22000022-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i000000000000000000000000000000002222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-222220000-22000022-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i00000000000000000000000000000000
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χ10511111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ10611111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ10711111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ10811111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ10911111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ11011111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ11111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ11211111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11311111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11411111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ11511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ11611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1171111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-111111-1-111−i−iii−i−iii−i−iii-1-1-1-11111−ii−i−iii−i−iii−i−iii-1-111-1-111−i−iii−i−iii-11−ii
χ1181111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-1i−i−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11−ii-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-111111-1-111−i−iii−i−iii−i−iii-1-111-1-111−iiii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i1-1i−i
χ1191111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−ii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-111111-1-111ii−i−iii−i−iii−i−i-1-1-1-11111i−iii−i−iii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-11i−i
χ1201111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-1−iiii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11i−i-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-111111-1-111ii−i−iii−i−iii−i−i-1-111-1-111i−i−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii1-1−ii
χ1211111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1ii−i−iii−i−iii−i−i-1-111-1-111i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-1i−i-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-11-1-1-1-1-1-111−i−iii−i−iii−i−iii11-1-111-1-1−ii−i−iiiii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-11−ii
χ1221111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1ii−i−iii−i−iii−i−i-1-1-1-11111i−i−i−iii−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-11-1-1-1-1-1-111−i−iii−i−iii−i−iii1111-1-1-1-1−iiii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii1-1i−i
χ1231111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1−i−iii−i−iii−i−iii-1-111-1-111−ii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-1−ii-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-11-1-1-1-1-1-111ii−i−iii−i−iii−i−i11-1-111-1-1i−iii−i−i−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-11i−i
χ1241111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1−i−iii−i−iii−i−iii-1-1-1-11111−iiii−i−iii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-11i−i-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-11-1-1-1-1-1-111ii−i−iii−i−iii−i−i1111-1-1-1-1i−i−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i1-1−ii
χ1251111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111ii−i−iii−i−i−i−iii-1-111-1-111−iiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-11−ii-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1111111-1-1−i−iii−i−iiiii−i−i11-1-111-1-1i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1i−i
χ1261111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111ii−i−iii−i−i−i−iii-1-1-1-11111−ii−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1-1i−i-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1111111-1-1−i−iii−i−iiiii−i−i1111-1-1-1-1i−iii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-11−ii
χ1271111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111−i−iii−i−iiiii−i−i-1-111-1-111i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-11i−i-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1111111-1-1ii−i−iii−i−i−i−iii11-1-111-1-1−iiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1−ii
χ1281111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111−i−iii−i−iiiii−i−i-1-1-1-11111i−iii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1-1−ii-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1111111-1-1ii−i−iii−i−i−i−iii1111-1-1-1-1−ii−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-11i−i
χ1291111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111ii−i−iii−i−i−i−iii1111-1-1-1-1−iiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-11−ii-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1-1-11111i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii1-1i−i
χ1301111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111ii−i−iii−i−i−i−iii11-1-111-1-1−ii−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii1-1i−i-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-111-1-111i−iii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i-11−ii
χ1311111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111−i−iii−i−iiiii−i−i1111-1-1-1-1i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-11i−i-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1-1-11111−iiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i1-1−ii
χ1321111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111−i−iii−i−iiiii−i−i11-1-111-1-1i−iii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i1-1−ii-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-111-1-111−ii−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii-11i−i
χ133222222222222222222222222-2-2-2-2-2-2-2-20000220000-2-2-2-22222-2-2-2-2-2-2-2-2000000002200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000-2-200002222-2-2-2-22222222200000000-2-200000000000000000000000000000000
χ134222222222222222222222222-2-2-2-2-2-2-2-20000220000-2-2-2-2-2-2-2-22222222200000000-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000-2-2000022222222-2-2-2-2-2-2-2-2000000002200000000000000000000000000000000
χ13522222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2000022222222-2-2-2-2222200000000-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000220000-2-2-2-2-2-2-2-22222-2-2-2-2000000002200000000000000000000000000000000
χ13622222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-200002222-2-2-2-22222-2-2-2-2000000002200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000220000-2-2-2-22222-2-2-2-2222200000000-2-200000000000000000000000000000000
χ1372222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222200002-20000-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i00000000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2222222-2-2-2-20000-22000022-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i00000000000000000000000000000000
χ1382222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222200002-20000-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i00000000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2222222-2-2-2-20000-22000022-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i00000000000000000000000000000000
χ1392222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-222220000-22000022-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i00000000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-222222222-2-22222-2-2-2-200002-20000-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000002i−2i00000000000000000000000000000000
χ1402222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-222220000-22000022-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000002i−2i00000000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-222222222-2-22222-2-2-2-200002-20000-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i00000000000000000000000000000000
χ14122-222-2-2-22-22i−2i2-22i−2i2i−2i2i−2i000022-2-22i2i−2i−2i22-2-2002i2i−2i−2i000000000000000000000000002ζ−2ζ2ζ3−2ζ300000000000000002ζ−2ζ2ζ3−2ζ300000000-2-22-2-2222-22−2i2i-22−2i2i−2i2i−2i2i0000-2-222−2i−2i2i2i-2-22200−2i−2i2i2i00000000000000000000000000−2ζ2ζ−2ζ32ζ30000000000000000−2ζ2ζ−2ζ32ζ300000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.