Finite Group Databasebeta

← Group #13138193

Character table — Group #13138193

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size111111112222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444466666666121212121212121212121212121212121212121212121212121212121212121218181818181818182727272727272727363636363636363654545454
order12224444336666668888999121212121212121218181818181818181836363636363636363636363636669991212121218181818181818181824242424242424242424242424242424363636363636363636363636727272727272727272727272727272727272727272727272727272727272727272727272444488881212121224242424363636363636363636363636727272727272727272727272444488888888888812121212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ61111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ71111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ81111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-111111111ii−i−i111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-1ii−i−i11-1-1
χ101111-1-1-1-111111111ii−i−i111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-111−i−iii-1-111
χ111111-1-1-1-111111111ii−i−i111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii-1-111−i−iii-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii11-1-1ii−i−i−i−i−i−iiiii11-1-1ii−i−i-1-111
χ121111-1-1-1-111111111ii−i−i111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii-1-111−i−iii-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii-1-111−i−iiiiiii−i−i−i−i-1-111−i−iii11-1-1
χ131111-1-1-1-111111111−i−iii111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−i−iii11-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii−i−i−i−iiiii11-1-1−i−iii11-1-1
χ141111-1-1-1-111111111−i−iii111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−i−iii11-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111ii−i−iiiii−i−i−i−i-1-111ii−i−i-1-111
χ151111-1-1-1-111111111−i−iii111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111ii−i−i-1-111ii−i−i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i11-1-1−i−iiiiiii−i−i−i−i11-1-1−i−iii-1-111
χ161111-1-1-1-111111111−i−iii111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111ii−i−i-1-111ii−i−i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i-1-111ii−i−i−i−i−i−iiiii-1-111ii−i−i11-1-1
χ171-1-1111-1-11111-1-1-1-1i−ii−i111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-1-1iii−i−i−iiii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−i1-11-1i−ii−i1-11-1iii−i−i−iiii−i−i−i111-1-1-1111-1-1-1i−ii−i1-11-1ii−i−iii−i−ii−ii−i1-11-11-11-1
χ181-1-1111-1-11111-1-1-1-1i−ii−i111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-1-1iii−i−i−iiii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−i1-11-1i−ii−i1-11-1iii−i−i−iiii−i−i−i111-1-1-1111-1-1-1−ii−ii-11-11−i−iii−i−iii−ii−ii-11-11-11-11
χ191-1-1111-1-11111-1-1-1-1i−ii−i111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-1-1iii−i−i−iiii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii-11-11−ii−ii-11-11−i−i−iiii−i−i−iiii-1-1-1111-1-1-1111i−ii−i1-11-1−i−iii−i−iiii−ii−i1-11-1-11-11
χ201-1-1111-1-11111-1-1-1-1i−ii−i111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-1-1iii−i−i−iiii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii-11-11−ii−ii-11-11−i−i−iiii−i−i−iiii-1-1-1111-1-1-1111−ii−ii-11-11ii−i−iii−i−i−ii−ii-11-111-11-1
χ211-1-1111-1-11111-1-1-1-1−ii−ii111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−i−i−iiii−i−i−iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−i-11-11i−ii−i-11-11iii−i−i−iiii−i−i−i-1-1-1111-1-1-1111i−ii−i-11-11−i−iii−i−iiii−ii−i-11-111-11-1
χ221-1-1111-1-11111-1-1-1-1−ii−ii111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−i−i−iiii−i−i−iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−i-11-11i−ii−i-11-11iii−i−i−iiii−i−i−i-1-1-1111-1-1-1111−ii−ii1-11-1ii−i−iii−i−i−ii−ii1-11-1-11-11
χ231-1-1111-1-11111-1-1-1-1−ii−ii111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−i−i−iiii−i−i−iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii1-11-1−ii−ii1-11-1−i−i−iiii−i−i−iiii111-1-1-1111-1-1-1i−ii−i-11-11ii−i−iii−i−ii−ii−i-11-11-11-11
χ241-1-1111-1-11111-1-1-1-1−ii−ii111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−i−i−iiii−i−i−iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii1-11-1−ii−ii1-11-1−i−i−iiii−i−i−iiii111-1-1-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii−ii−ii1-11-11-11-1
χ251-1-11-1-1111111-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−ii−i−ii−iii−iiii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−ii−i−ii−iii−i11-1-1-1-111i−i−ii−iii−i1-1-11
χ261-1-11-1-1111111-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−ii−i−ii−iii−iiii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−i−iii−ii−i−ii-1-11111-1-1−iii−ii−i−ii-111-1
χ271-1-11-1-1111111-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii−iii−ii−i−ii−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiiii−i−ii−iii−i-1-11111-1-1i−i−ii−iii−i-111-1
χ281-1-11-1-1111111-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii−iii−ii−i−ii−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiii−iii−ii−i−ii11-1-1-1-111−iii−ii−i−ii1-1-11
χ291-1-11-1-1111111-1-1-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−iii−i−ii-1-11111-1-1i−i−iii−i−ii1-1-11
χ301-1-11-1-1111111-1-1-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii−iii−i−iii−i11-1-1-1-111−iii−i−iii−i-111-1
χ311-1-11-1-1111111-1-1-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−i−iii−i−iii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−ii−i−iii−i−ii11-1-1-1-111i−i−iii−i−ii-111-1
χ321-1-11-1-1111111-1-1-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−i−iii−i−iii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iii−i-1-11111-1-1−iii−i−iii−i1-1-11
χ3322222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ3422222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000
χ352222222222222222-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111112222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000
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χ45222222222-12-1-1-122-2-2-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1-1-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-21-21-21-2111111111ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ682222-2-2-2-2-1-1-1-11111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000000000000000000000000
χ46222222222-12-1-1-122-2-2-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1-1-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-21-21-21-2111111111ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2-2-2-222221111-1-1-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000000000000000000000000
χ47222222222-12-1-1-122-2-2-2-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1-1-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-21-21-21-2111111111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ522222-2-2-2-2-1-1-1-11111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000000000000000000000000000
χ48222222222-12-1-1-122-2-2-2-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1-1-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-21-21-21-2111111111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-2-2-2-222221111-1-1-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000000000000000000000000
χ4922222222-12-1222-1-12222222-1-12222-1-1222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000002222222200000000-1-1-1-1-1-1-1-10000
χ5022222222-12-1222-1-12222222-1-12222-1-1222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000-2-2-2-2-2-2-2-200000000111111110000
χ5122222222-12-1222-1-1-2-2-2-2222-1-12222-1-1222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-21-21-21-211111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000000000000000000002222-2-2-2-200000000-1-1-1-111110000
χ5222222222-12-1222-1-1-2-2-2-2222-1-12222-1-1222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-21-21-21-211111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000000000000000-2-2-2-22222000000001111-1-1-1-10000
χ532222-2-2-2-2222222222i2i−2i−2i-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i111111111111−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii22-2-22i2i−2i−2i22-2-22i2i−2i−2i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii0000000000000000000000000000
χ542222-2-2-2-2222222222i2i−2i−2i-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i111111111111−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-2-222−2i−2i2i2i-2-222−2i−2i2i2i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i0000000000000000000000000000
χ552222-2-2-2-222222222−2i−2i2i2i-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i111111111111iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i0000000000000000000000000000
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χ2014-4-44-4-444-2-2-2-222224-4-44−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-2-2-2-22222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ521-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-1-111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-22222-2-211-1-1-1-111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200000000000000000000000000000000000000000000000000000000000000000000
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χ2034-4-44-4-444-2-2-2-22222-444-42ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-2-2-2-222222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ681-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-1-111ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822-2-2-2-222-1-11111-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000000000000000000000000000000000000000000000000000000000000000
χ2044-4-44-4-444-2-2-2-22222-444-4−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-2-2-2-22222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ521-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-1-111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222-2-2-2-222-1-11111-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.