Finite Group Databasebeta

← Group #72220035

Character table — Group #72220035

Order 7776.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111222222222222224444444444666666666666999999991212121212121212121212121212121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636363636363636363636365454545454545454545454545454545454545454545454545454545454545454108108108108108108108108108108108108108108108108324324324324324324
order12222233666666666636666666669918181818181818181818336666669999918181818181818181818181818181818181818181818181818181818181818181818181818222266666666666699991818181818181818181818181818181818181818449912121212181818181818181818181818181818181818666666661818181818181818181818181818181818181818181818181212121236363636363636363636363624661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−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−i32−1+i32−1+i32−1+i32−1+i3211111111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1+i32-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−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−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i321+i321−i32
χ71111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−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−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+i3211−1−i32−1+i321111−1−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−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ81111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−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−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+i32-1-1−1−i32−1+i32-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ91111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321111−1+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+i32−1−i32−1−i32−1−i32−1−i3211111111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ101111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1−i32-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+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+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i321−i321+i32
χ111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+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−i3211−1+i32−1−i321111−1+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+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ121111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+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−i32-1-1−1+i32−1−i32-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ131111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-111111-11111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-111-1-1
χ141111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11-1-111
χ151111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111111-11111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-1-1-11-1-111
χ161111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-1111-111-1-1
χ171111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11+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+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ181111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11+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+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11−1−i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ191111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111+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+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-111111+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−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ201111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111+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+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11−1−i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ211111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11−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−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ221111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11−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−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11−1+i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ231111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111−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−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-111111−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+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ241111-1-1111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111−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−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11−1+i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ2522222222222222222222222222222-12-1-1-1-1-1-1-122222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ2622222222222222222222222222222-12-1-1-1-1-1-1-122222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000
χ2722222222222222222222222222222-12-1-1-1-1-1-1-122−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3001+i321−i320000−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000
χ2822222222222222222222222222222-12-1-1-1-1-1-1-122−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3001+i321−i320000−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i311111111−1−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+i320000000000000000000000
χ2922222222222222222222222222222-12-1-1-1-1-1-1-122−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3001−i321+i320000−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000000000
χ3022222222222222222222222222222-12-1-1-1-1-1-1-122−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3001−i321+i320000−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i311111111−1+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−i320000000000000000000000
χ312222222222222222222222222222-12-12222222-1-122222222-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-122-1-122222222222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ322222222222222222222222222222-12-12222222-1-122222222-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-122-1-122222222222222-1-1-1-1-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111111111000000
χ332222222222222222222222222222-12-12222222-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1+i3−1+i31+i321−i32−1−i3−1+i31+i321−i32−1−i3−1−i3−1−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−i32221+i321−i3222221+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i3200000000000000000000000000000000−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000
χ342222222222222222222222222222-12-12222222-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1+i3−1+i31+i321−i32−1−i3−1+i31+i321−i32−1−i3−1−i3−1−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−i32-2-21+i321−i32-2-2-2-21+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000001+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000
χ352222222222222222222222222222-12-12222222-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1+i3−1+i3−1−i3−1−i31−i321+i32−1+i3−1−i31−i321+i32−1+i3−1+i3−1+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+i32221−i321+i3222221−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i3200000000000000000000000000000000−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000
χ362222222222222222222222222222-12-12222222-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1+i3−1+i3−1−i3−1−i31−i321+i32−1+i3−1−i31−i321+i32−1+i3−1+i3−1+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+i32-2-21−i321+i32-2-2-2-21−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000001−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000
χ372222-2-2222222-2-2-2-2222-2-2222-2-2-2-22-12-1-1-1111122222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-22222-2-2-2-2-2-2-2-222-1-122-1-1-11111-1-1-11111222200-1-10000-2-2-2-2-1-1-11111-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000
χ382222-2-2222222-2-2-2-2222-2-2222-2-2-2-22-12-1-1-1111122222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-222-2-2-2-22222-2-2-2-222-1-122-1-1-11111-1-1-11111222200-1-10000-2-2-2-2-1-1-11111-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000
χ392222-2-2222222-2-2-2-2222-2-2222-2-2-2-22-12-1-1-1111122−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-22222-2-2-2-21+i31+i31−i31−i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1−i3−1+i3−1+i3001+i321−i3200001+i31+i31−i31−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.