Finite Group Databasebeta

← Group #13144805

Character table — Group #13144805

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size11111111111111111111111122222222222222222222222222222222222266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666363636363636363636363636363636363636363636363636
order122233444466666612121212121212122222224444446666666666661212121212121212121212123333666666666666666666666666666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ12111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ13111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ2122222222222222222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ2222222222222222222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ2322222222222222222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ2422222222222222222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ25222222222222222222222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ26222222222222222222222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000
χ27222222222222222222222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000000000
χ28222222222222222222222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000000000
χ29222222222222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ30222222222222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ31222222222222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ32222222222222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ33222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ34222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ35222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ36222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ37222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ38222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ39222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ40222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ41222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222222-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ42222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ43222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ44222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ45222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-22-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ46222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000
χ47222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000000000
χ48222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000000000
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χ19566-6-6−3+3i3−3−3i3−6i−6i6i6i−3+3i3−3−3i33−3i33+3i33−3i33+3i3−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ116ζ76ζ1100006-60000−6i6i00000000−3+3i3−3−3i33−3i33+3i300000000−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19666-6-6−3+3i3−3−3i3−6i−6i6i6i−3+3i3−3−3i33−3i33+3i33−3i33+3i3−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ116ζ76ζ110000-6600006i−6i000000003−3i33+3i3−3+3i3−3−3i3000000006ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1976-66-6−3−3i3−3+3i36i−6i6i−6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i36ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ7006-600006i−6i000000−3−3i3−3+3i33+3i33−3i3000000006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1986-66-6−3−3i3−3+3i36i−6i6i−6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i36ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ700-660000−6i6i0000003+3i33−3i3−3−3i3−3+3i300000000−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1996-66-6−3−3i3−3+3i3−6i6i−6i6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7006-60000−6i6i000000−3−3i3−3+3i33+3i33−3i300000000−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2006-66-6−3−3i3−3+3i3−6i6i−6i6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ700-6600006i−6i0000003+3i33−3i3−3−3i3−3+3i3000000006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2016-66-6−3+3i3−3−3i36i−6i6i−6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i36ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ11006-600006i−6i000000−3+3i3−3−3i33−3i33+3i3000000006ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2026-66-6−3+3i3−3−3i36i−6i6i−6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i36ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ1100-660000−6i6i0000003−3i33+3i3−3+3i3−3−3i300000000−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2036-66-6−3+3i3−3−3i3−6i6i−6i6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11006-60000−6i6i000000−3+3i3−3−3i33−3i33+3i300000000−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2046-66-6−3+3i3−3−3i3−6i6i−6i6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ1100-6600006i−6i0000003−3i33+3i3−3+3i3−3−3i3000000006ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2056-6-66−3−3i3−3+3i36-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-600006-60000−3−3i3−3+3i33+3i33−3i300000000−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2066-6-66−3−3i3−3+3i36-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-660000-6600003+3i33−3i3−3−3i3−3+3i3000000003+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2076-6-66−3−3i3−3+3i3-666-63+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i36-60000-660000−3−3i3−3+3i33+3i33−3i3000000003+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2086-6-66−3−3i3−3+3i3-666-63+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3-6600006-600003+3i33−3i3−3−3i3−3+3i300000000−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2096-6-66−3+3i3−3−3i36-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-600006-60000−3+3i3−3−3i33−3i33+3i300000000−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2106-6-66−3+3i3−3−3i36-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-660000-6600003−3i33+3i3−3+3i3−3−3i3000000003−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2116-6-66−3+3i3−3−3i3-666-63−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i36-60000-660000−3+3i3−3−3i33−3i33+3i3000000003−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2126-6-66−3+3i3−3−3i3-666-63−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3-6600006-600003−3i33+3i3−3+3i3−3−3i300000000−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.