Finite Group Databasebeta

← Group #11783743

Character table — Group #11783743

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222223333444444444444444444666666888888888888121212121212121212121212111122222222223333444444444444444444666666888888888888121212121212121212121212111122222222223333444444444444444444666666888888888888121212121212121212121212
order1222222222366644444444444444446666664444441212121212121212121212122244444444443666666666366612121212121212121212121212121212666666121212121212121212121212121212121212661212121212121212121236666666663666121212121212121212121212121212126666661212121212121212121212121212121212126612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-11111111111-1-1ii−i−iii−i−i11-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-111ii−i−iii−i−i111111-1-1-1-11111111111-1-1ii−i−iii−i−i11-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-111ii−i−iii−i−i111111-1-1-1-11111111111-1-1ii−i−iii−i−i11-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-111ii−i−iii−i−i
χ10111111-1-1-1-11111111111-1-1−i−iii−i−iii11-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-111−i−iii−i−iii111111-1-1-1-11111111111-1-1−i−iii−i−iii11-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-111−i−iii−i−iii111111-1-1-1-11111111111-1-1−i−iii−i−iii11-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-111−i−iii−i−iii
χ11111111-1-1-1-111111111-1-111ii−i−i−i−iii11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii111111-1-1-1-111111111-1-111ii−i−i−i−iii11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii111111-1-1-1-111111111-1-111ii−i−i−i−iii11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii
χ12111111-1-1-1-111111111-1-111−i−iiiii−i−i11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i111111-1-1-1-111111111-1-111−i−iiiii−i−i11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i111111-1-1-1-111111111-1-111−i−iiiii−i−i11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i
χ13111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1-1-1-1-1111111-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1-1-1-1-1111111-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1-1-1-1-1111111-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii
χ14111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1-1-1-1-1111111-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1-1-1-1-1111111-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1-1-1-1-1111111-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i
χ15111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii11-1-1-1-1-1-11111-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii11-1-1-1-1-1-11111-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii11-1-1-1-1-1-11111-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i
χ16111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i11-1-1-1-1-1-11111-1-111−i−iiiii−i−i-1-111ii−i−i−i−iii111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i11-1-1-1-1-1-11111-1-111−i−iiiii−i−i-1-111ii−i−i−i−iii111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i11-1-1-1-1-1-11111-1-111−i−iiiii−i−i-1-111ii−i−i−i−iii
χ171-11-11-11-11-111-1-1ii−i−ii−ii−i1-11-1i−ii−i1-11-11-1i−iii−i−ii−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-11-11-111-1-1ii−i−ii−ii−i1-11-1i−ii−i1-11-11-1i−iii−i−ii−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-11-11-111-1-1ii−i−ii−ii−i1-11-1i−ii−i1-11-11-1i−iii−i−ii−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-1
χ181-11-11-11-11-111-1-1ii−i−ii−ii−i-11-11−ii−ii1-11-11-1i−iii−i−ii−ii−i-11-11−ii−ii1-11-1−ii−ii-11-111-11-11-11-11-111-1-1ii−i−ii−ii−i-11-11−ii−ii1-11-11-1i−iii−i−ii−ii−i-11-11−ii−ii1-11-1−ii−ii-11-111-11-11-11-11-111-1-1ii−i−ii−ii−i-11-11−ii−ii1-11-11-1i−iii−i−ii−ii−i-11-11−ii−ii1-11-1−ii−ii-11-11
χ191-11-11-11-11-111-1-1ii−i−i−ii−ii1-11-1−ii−ii1-11-11-1i−iii−i−i−ii−ii1-11-1−ii−ii-11-11i−ii−i-11-111-11-11-11-11-111-1-1ii−i−i−ii−ii1-11-1−ii−ii1-11-11-1i−iii−i−i−ii−ii1-11-1−ii−ii-11-11i−ii−i-11-111-11-11-11-11-111-1-1ii−i−i−ii−ii1-11-1−ii−ii1-11-11-1i−iii−i−i−ii−ii1-11-1−ii−ii-11-11i−ii−i-11-11
χ201-11-11-11-11-111-1-1ii−i−i−ii−ii-11-11i−ii−i1-11-11-1i−iii−i−i−ii−ii-11-11i−ii−i-11-11−ii−ii1-11-11-11-11-11-11-111-1-1ii−i−i−ii−ii-11-11i−ii−i1-11-11-1i−iii−i−i−ii−ii-11-11i−ii−i-11-11−ii−ii1-11-11-11-11-11-11-111-1-1ii−i−i−ii−ii-11-11i−ii−i1-11-11-1i−iii−i−i−ii−ii-11-11i−ii−i-11-11−ii−ii1-11-1
χ211-11-11-11-11-111-1-1−i−iiii−ii−i1-11-1i−ii−i1-11-11-1−ii−i−iiii−ii−i1-11-1i−ii−i-11-11−ii−ii-11-111-11-11-11-11-111-1-1−i−iiii−ii−i1-11-1i−ii−i1-11-11-1−ii−i−iiii−ii−i1-11-1i−ii−i-11-11−ii−ii-11-111-11-11-11-11-111-1-1−i−iiii−ii−i1-11-1i−ii−i1-11-11-1−ii−i−iiii−ii−i1-11-1i−ii−i-11-11−ii−ii-11-11
χ221-11-11-11-11-111-1-1−i−iiii−ii−i-11-11−ii−ii1-11-11-1−ii−i−iiii−ii−i-11-11−ii−ii-11-11i−ii−i1-11-11-11-11-11-11-111-1-1−i−iiii−ii−i-11-11−ii−ii1-11-11-1−ii−i−iiii−ii−i-11-11−ii−ii-11-11i−ii−i1-11-11-11-11-11-11-111-1-1−i−iiii−ii−i-11-11−ii−ii1-11-11-1−ii−i−iiii−ii−i-11-11−ii−ii-11-11i−ii−i1-11-1
χ231-11-11-11-11-111-1-1−i−iii−ii−ii1-11-1−ii−ii1-11-11-1−ii−i−iii−ii−ii1-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-11-11-111-1-1−i−iii−ii−ii1-11-1−ii−ii1-11-11-1−ii−i−iii−ii−ii1-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-11-11-111-1-1−i−iii−ii−ii1-11-1−ii−ii1-11-11-1−ii−i−iii−ii−ii1-11-1−ii−ii1-11-1−ii−ii1-11-1
χ241-11-11-11-11-111-1-1−i−iii−ii−ii-11-11i−ii−i1-11-11-1−ii−i−iii−ii−ii-11-11i−ii−i1-11-1i−ii−i-11-111-11-11-11-11-111-1-1−i−iii−ii−ii-11-11i−ii−i1-11-11-1−ii−i−iii−ii−ii-11-11i−ii−i1-11-1i−ii−i-11-111-11-11-11-11-111-1-1−i−iii−ii−ii-11-11i−ii−i1-11-11-1−ii−i−iii−ii−ii-11-11i−ii−i1-11-1i−ii−i-11-11
χ251-11-11-1-11-1111-1-1ii−i−ii−i−iii−i−ii-111-11-1-11-11i−i−i−iiii−i−iii−i−ii-111-1-111-1-111-1i−i−ii1-11-11-1-11-1111-1-1ii−i−ii−i−iii−i−ii-111-11-1-11-11i−i−i−iiii−i−iii−i−ii-111-1-111-1-111-1i−i−ii1-11-11-1-11-1111-1-1ii−i−ii−i−iii−i−ii-111-11-1-11-11i−i−i−iiii−i−iii−i−ii-111-1-111-1-111-1i−i−ii
χ261-11-11-1-11-1111-1-1ii−i−ii−i−ii−iii−i1-1-111-1-11-11i−i−i−iiii−i−ii−iii−i1-1-11-111-11-1-11−iii−i1-11-11-1-11-1111-1-1ii−i−ii−i−ii−iii−i1-1-111-1-11-11i−i−i−iiii−i−ii−iii−i1-1-11-111-11-1-11−iii−i1-11-11-1-11-1111-1-1ii−i−ii−i−ii−iii−i1-1-111-1-11-11i−i−i−iiii−i−ii−iii−i1-1-11-111-11-1-11−iii−i
χ271-11-11-1-11-1111-1-1ii−i−i−iii−ii−i−ii1-1-111-1-11-11i−i−i−iii−iii−ii−i−ii1-1-111-1-11-111-1−iii−i1-11-11-1-11-1111-1-1ii−i−i−iii−ii−i−ii1-1-111-1-11-11i−i−i−iii−iii−ii−i−ii1-1-111-1-11-111-1−iii−i1-11-11-1-11-1111-1-1ii−i−i−iii−ii−i−ii1-1-111-1-11-11i−i−i−iii−iii−ii−i−ii1-1-111-1-11-111-1−iii−i
χ281-11-11-1-11-1111-1-1ii−i−i−iii−i−iii−i-111-11-1-11-11i−i−i−iii−iii−i−iii−i-111-11-1-111-1-11i−i−ii1-11-11-1-11-1111-1-1ii−i−i−iii−i−iii−i-111-11-1-11-11i−i−i−iii−iii−i−iii−i-111-11-1-111-1-11i−i−ii1-11-11-1-11-1111-1-1ii−i−i−iii−i−iii−i-111-11-1-11-11i−i−i−iii−iii−i−iii−i-111-11-1-111-1-11i−i−ii
χ291-11-11-1-11-1111-1-1−i−iiii−i−iii−i−ii-111-11-1-11-11−iiii−i−ii−i−iii−i−ii-111-11-1-111-1-11−iii−i1-11-11-1-11-1111-1-1−i−iiii−i−iii−i−ii-111-11-1-11-11−iiii−i−ii−i−iii−i−ii-111-11-1-111-1-11−iii−i1-11-11-1-11-1111-1-1−i−iiii−i−iii−i−ii-111-11-1-11-11−iiii−i−ii−i−iii−i−ii-111-11-1-111-1-11−iii−i
χ301-11-11-1-11-1111-1-1−i−iiii−i−ii−iii−i1-1-111-1-11-11−iiii−i−ii−i−ii−iii−i1-1-111-1-11-111-1i−i−ii1-11-11-1-11-1111-1-1−i−iiii−i−ii−iii−i1-1-111-1-11-11−iiii−i−ii−i−ii−iii−i1-1-111-1-11-111-1i−i−ii1-11-11-1-11-1111-1-1−i−iiii−i−ii−iii−i1-1-111-1-11-11−iiii−i−ii−i−ii−iii−i1-1-111-1-11-111-1i−i−ii
χ311-11-11-1-11-1111-1-1−i−iii−iii−ii−i−ii1-1-111-1-11-11−iiii−i−i−iii−ii−i−ii1-1-11-111-11-1-11i−i−ii1-11-11-1-11-1111-1-1−i−iii−iii−ii−i−ii1-1-111-1-11-11−iiii−i−i−iii−ii−i−ii1-1-11-111-11-1-11i−i−ii1-11-11-1-11-1111-1-1−i−iii−iii−ii−i−ii1-1-111-1-11-11−iiii−i−i−iii−ii−i−ii1-1-11-111-11-1-11i−i−ii
χ321-11-11-1-11-1111-1-1−i−iii−iii−i−iii−i-111-11-1-11-11−iiii−i−i−iii−i−iii−i-111-1-111-1-111-1−iii−i1-11-11-1-11-1111-1-1−i−iii−iii−i−iii−i-111-11-1-11-11−iiii−i−i−iii−i−iii−i-111-1-111-1-111-1−iii−i1-11-11-1-11-1111-1-1−i−iii−iii−i−iii−i-111-11-1-11-11−iiii−i−i−iii−i−iii−i-111-1-111-1-111-1−iii−i
χ332222222222-1-1-1-10000222222222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222-1-1-1-10000222222222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222-1-1-1-10000222222222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ342222222222-1-1-1-100002222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-1111111110000000000002222222222-1-1-1-100002222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-1111111110000000000002222222222-1-1-1-100002222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-111111111000000000000
χ352222222222-1-1-1-10000-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000001111-1-1-1-111110000000000002222222222-1-1-1-10000-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000001111-1-1-1-111110000000000002222222222-1-1-1-10000-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000001111-1-1-1-11111000000000000
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χ992222222222-1-1-1-10000222222222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320000001−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320000001+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ1002222222222-1-1-1-100002222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-111111111000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000
χ1012222222222-1-1-1-10000-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000001111-1-1-1-11111000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200001−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200001+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ1022222222222-1-1-1-10000-2-2-2-2-2-2-2-22222-1-1-1-1-1-100000011111111-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200001−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200001+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000
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χ13811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+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
χ13911111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−1−i32−1−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ14011111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−1−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−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−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−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+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+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+i321−i321−i321−i321−i32
χ141111111-1-1-1-11111111111-1-1ii−i−iii−i−i11-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-111ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ142111111-1-1-1-11111111111-1-1−i−iii−i−iii11-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-111−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ143111111-1-1-1-111111111-1-111ii−i−i−i−iii11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ144111111-1-1-1-111111111-1-111−i−iiiii−i−i11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ145111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1-1-1-1-1111111-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ146111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1-1-1-1-1111111-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ147111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii11-1-1-1-1-1-11111-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.