Finite Group Databasebeta

← Group #11806032

Character table — Group #11806032

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111111112222222222222222444444444444444444444466666666666666668888888812121212121212121111111122222222222222224444444444444444444444666666666666666688888888121212121212121211111111222222222222222244444444444444444444446666666666666666888888881212121212121212
order1222222234444444466666662222444444121212121212121212121212444444444444444466661212121244444444366666663121212121212121266666666666121212121212121212121212121212121212121212121212121212121212121212126666121212121212121212121212366666663121212121212121266666666666121212121212121212121212121212121212121212121212121212121212121212126666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ61111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1
χ71111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1
χ81111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ9111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1
χ10111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111
χ11111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ12111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111
χ15111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ16111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1711-11-1-1-11111-1-1ii−i−i11-11-1-1-11-11-1i−ii−ii−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-11-11-1i−ii−i1-1i−ii−ii−i11-11-1-1-11111-1-1ii−i−i11-11-1-1-11-11-1i−ii−ii−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-11-11-1i−ii−i1-1i−ii−ii−i11-11-1-1-11111-1-1ii−i−i11-11-1-1-11-11-1i−ii−ii−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-11-11-1i−ii−i1-1i−ii−ii−i
χ1811-11-1-1-11111-1-1ii−i−i11-11-1-1-11-11-1i−ii−ii−i11-1-1ii−i−iii−i−i−i−iii-1-111-1-111-1-1111-11-1i−ii−i-11−ii−ii−ii11-11-1-1-11111-1-1ii−i−i11-11-1-1-11-11-1i−ii−ii−i11-1-1ii−i−iii−i−i−i−iii-1-111-1-111-1-1111-11-1i−ii−i-11−ii−ii−ii11-11-1-1-11111-1-1ii−i−i11-11-1-1-11-11-1i−ii−ii−i11-1-1ii−i−iii−i−i−i−iii-1-111-1-111-1-1111-11-1i−ii−i-11−ii−ii−ii
χ1911-11-1-1-11111-1-1ii−i−i11-11-1-1-1-11-11−ii−iii−i11-1-1ii−i−iii−i−iii−i−i11-1-1-1-111-1-111-11-11−ii−ii1-1i−i−ii−ii11-11-1-1-11111-1-1ii−i−i11-11-1-1-1-11-11−ii−iii−i11-1-1ii−i−iii−i−iii−i−i11-1-1-1-111-1-111-11-11−ii−ii1-1i−i−ii−ii11-11-1-1-11111-1-1ii−i−i11-11-1-1-1-11-11−ii−iii−i11-1-1ii−i−iii−i−iii−i−i11-1-1-1-111-1-111-11-11−ii−ii1-1i−i−ii−ii
χ2011-11-1-1-11111-1-1ii−i−i11-11-1-1-1-11-11−ii−iii−i11-1-1ii−i−iii−i−i−i−iii-1-11111-1-111-1-1-11-11−ii−ii-11−iii−ii−i11-11-1-1-11111-1-1ii−i−i11-11-1-1-1-11-11−ii−iii−i11-1-1ii−i−iii−i−i−i−iii-1-11111-1-111-1-1-11-11−ii−ii-11−iii−ii−i11-11-1-1-11111-1-1ii−i−i11-11-1-1-1-11-11−ii−iii−i11-1-1ii−i−iii−i−i−i−iii-1-11111-1-111-1-1-11-11−ii−ii-11−iii−ii−i
χ2111-11-1-1-11111-1-1−i−iii11-11-1-1-11-11-1−ii−ii−ii11-1-1−i−iii−i−iiiii−i−i-1-111-1-111-1-1111-11-1−ii−ii-11i−ii−ii−i11-11-1-1-11111-1-1−i−iii11-11-1-1-11-11-1−ii−ii−ii11-1-1−i−iii−i−iiiii−i−i-1-111-1-111-1-1111-11-1−ii−ii-11i−ii−ii−i11-11-1-1-11111-1-1−i−iii11-11-1-1-11-11-1−ii−ii−ii11-1-1−i−iii−i−iiiii−i−i-1-111-1-111-1-1111-11-1−ii−ii-11i−ii−ii−i
χ2211-11-1-1-11111-1-1−i−iii11-11-1-1-11-11-1−ii−ii−ii11-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-11-11-1−ii−ii1-1−ii−ii−ii11-11-1-1-11111-1-1−i−iii11-11-1-1-11-11-1−ii−ii−ii11-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-11-11-1−ii−ii1-1−ii−ii−ii11-11-1-1-11111-1-1−i−iii11-11-1-1-11-11-1−ii−ii−ii11-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-11-11-1−ii−ii1-1−ii−ii−ii
χ2311-11-1-1-11111-1-1−i−iii11-11-1-1-1-11-11i−ii−i−ii11-1-1−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-11-11i−ii−i-11i−i−ii−ii11-11-1-1-11111-1-1−i−iii11-11-1-1-1-11-11i−ii−i−ii11-1-1−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-11-11i−ii−i-11i−i−ii−ii11-11-1-1-11111-1-1−i−iii11-11-1-1-1-11-11i−ii−i−ii11-1-1−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-11-11i−ii−i-11i−i−ii−ii
χ2411-11-1-1-11111-1-1−i−iii11-11-1-1-1-11-11i−ii−i−ii11-1-1−i−iii−i−iii−i−iii11-1-1-1-111-1-111-11-11i−ii−i1-1−iii−ii−i11-11-1-1-11111-1-1−i−iii11-11-1-1-1-11-11i−ii−i−ii11-1-1−i−iii−i−iii−i−iii11-1-1-1-111-1-111-11-11i−ii−i1-1−iii−ii−i11-11-1-1-11111-1-1−i−iii11-11-1-1-1-11-11i−ii−i−ii11-1-1−i−iii−i−iii−i−iii11-1-1-1-111-1-111-11-11i−ii−i1-1−iii−ii−i
χ2511-11-1-1-111-1-111ii−i−i11-11-1-1-11-1-11i−i−ii−ii-1-111ii−i−i−i−iiiii−i−i11-1-111-1-1-1-1111-1-11i−i−ii-11−iii−i−ii11-11-1-1-111-1-111ii−i−i11-11-1-1-11-1-11i−i−ii−ii-1-111ii−i−i−i−iiiii−i−i11-1-111-1-1-1-1111-1-11i−i−ii-11−iii−i−ii11-11-1-1-111-1-111ii−i−i11-11-1-1-11-1-11i−i−ii−ii-1-111ii−i−i−i−iiiii−i−i11-1-111-1-1-1-1111-1-11i−i−ii-11−iii−i−ii
χ2611-11-1-1-111-1-111ii−i−i11-11-1-1-11-1-11i−i−ii−ii-1-111ii−i−i−i−iii−i−iii-1-111-1-11111-1-11-1-11i−i−ii1-1i−i−iii−i11-11-1-1-111-1-111ii−i−i11-11-1-1-11-1-11i−i−ii−ii-1-111ii−i−i−i−iii−i−iii-1-111-1-11111-1-11-1-11i−i−ii1-1i−i−iii−i11-11-1-1-111-1-111ii−i−i11-11-1-1-11-1-11i−i−ii−ii-1-111ii−i−i−i−iii−i−iii-1-111-1-11111-1-11-1-11i−i−ii1-1i−i−iii−i
χ2711-11-1-1-111-1-111ii−i−i11-11-1-1-1-111-1−iii−i−ii-1-111ii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-111-1−iii−i-11−ii−iii−i11-11-1-1-111-1-111ii−i−i11-11-1-1-1-111-1−iii−i−ii-1-111ii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-111-1−iii−i-11−ii−iii−i11-11-1-1-111-1-111ii−i−i11-11-1-1-1-111-1−iii−i−ii-1-111ii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-111-1−iii−i-11−ii−iii−i
χ2811-11-1-1-111-1-111ii−i−i11-11-1-1-1-111-1−iii−i−ii-1-111ii−i−i−i−iii−i−iii-1-11111-1-1-1-111-111-1−iii−i1-1i−ii−i−ii11-11-1-1-111-1-111ii−i−i11-11-1-1-1-111-1−iii−i−ii-1-111ii−i−i−i−iii−i−iii-1-11111-1-1-1-111-111-1−iii−i1-1i−ii−i−ii11-11-1-1-111-1-111ii−i−i11-11-1-1-1-111-1−iii−i−ii-1-111ii−i−i−i−iii−i−iii-1-11111-1-1-1-111-111-1−iii−i1-1i−ii−i−ii
χ2911-11-1-1-111-1-111−i−iii11-11-1-1-11-1-11−iii−ii−i-1-111−i−iiiii−i−iii−i−i-1-111-1-11111-1-11-1-11−iii−i1-1−iii−i−ii11-11-1-1-111-1-111−i−iii11-11-1-1-11-1-11−iii−ii−i-1-111−i−iiiii−i−iii−i−i-1-111-1-11111-1-11-1-11−iii−i1-1−iii−i−ii11-11-1-1-111-1-111−i−iii11-11-1-1-11-1-11−iii−ii−i-1-111−i−iiiii−i−iii−i−i-1-111-1-11111-1-11-1-11−iii−i1-1−iii−i−ii
χ3011-11-1-1-111-1-111−i−iii11-11-1-1-11-1-11−iii−ii−i-1-111−i−iiiii−i−i−i−iii11-1-111-1-1-1-1111-1-11−iii−i-11i−i−iii−i11-11-1-1-111-1-111−i−iii11-11-1-1-11-1-11−iii−ii−i-1-111−i−iiiii−i−i−i−iii11-1-111-1-1-1-1111-1-11−iii−i-11i−i−iii−i11-11-1-1-111-1-111−i−iii11-11-1-1-11-1-11−iii−ii−i-1-111−i−iiiii−i−i−i−iii11-1-111-1-1-1-1111-1-11−iii−i-11i−i−iii−i
χ3111-11-1-1-111-1-111−i−iii11-11-1-1-1-111-1i−i−iii−i-1-111−i−iiiii−i−iii−i−i-1-11111-1-1-1-111-111-1i−i−ii1-1−ii−iii−i11-11-1-1-111-1-111−i−iii11-11-1-1-1-111-1i−i−iii−i-1-111−i−iiiii−i−iii−i−i-1-11111-1-1-1-111-111-1i−i−ii1-1−ii−iii−i11-11-1-1-111-1-111−i−iii11-11-1-1-1-111-1i−i−iii−i-1-111−i−iiiii−i−iii−i−i-1-11111-1-1-1-111-111-1i−i−ii1-1−ii−iii−i
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χ11011-11-1-1-111-1-111−i−iii11-11-1-1-1-111-1i−i−iii−i-1-111−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-111-1i−i−ii-11i−ii−i−ii−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11
χ11122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000000001−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000000001+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ11222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-100000000000000001111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ11322222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1111111110000000000000000-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ11422222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-1-11111111100000000000000001111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000
χ11522222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-222-2-2-2-21111-1-1-1-111110000000000000000-1-111-1-11100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000
χ11622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-11111000000000000000011-1-111-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200000000
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χ1631111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−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−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ1641111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ165111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1−1−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−i321+i321+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ166111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111−1−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−i321+i321+i32−1−i32−1−i321+i321+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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+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+i321−i321−i32−1+i32−1+i321−i321−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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ167111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ168111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1−1−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−i321+i321+i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ169111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1−1−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−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−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+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+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ170111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111−1−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−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+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+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ171111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ172111111111-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.