Finite Group Databasebeta

← Group #13162050

Character table — Group #13162050

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444449999999918181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order12222222222233366666666666666666666666666666333336666666666666666666666666666666666666666666666666666666666666666666666666666666666644444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-111-1-1-11-11-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811-111-1-1-11-11-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-11-11-11-11−ii−ii−ii−iii−ii−iii−i−iii−i−iii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ1911-111-1-1-11-11-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ2011-111-1-1-11-11-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i−ii−ii−i−iii−i−iii−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ2111-111-1-1-1-11-11111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i1-11-1-11-11i−ii−i−ii−ii−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1-11-11i−ii−i−ii−ii
χ2211-111-1-1-1-11-11111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i-11-111-11-1−ii−iii−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-11-111-11-1−ii−iii−ii−i
χ2311-111-1-1-1-11-11111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iii1-11-1-11-11−ii−iii−ii−ii−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11−ii−iii−ii−i
χ2411-111-1-1-1-11-11111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iii-11-111-11-1i−ii−i−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-111-11-1i−ii−i−ii−ii
χ2511-1-1-111-11-1-11111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iiii−i−iii−i−ii-111-1-111-1i−i−iiii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii-111-1-111-1
χ2611-1-1-111-11-1-11111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii−iii−i−iii−i1-1-111-1-11i−i−iiii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i1-1-111-1-11
χ2711-1-1-111-11-1-11111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−ii−i−iii−i−ii1-1-111-1-11−iii−i−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii1-1-111-1-11
χ2811-1-1-111-11-1-11111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i−iii−i−iii−i-111-1-111-1−iii−i−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i-111-1-111-1
χ2911-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−ii−iii−i-111-11-1-11−iii−iii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i-111-11-1-11
χ3011-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii−iii−ii−i−ii1-1-11-111-1−iii−iii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii1-1-11-111-1
χ3111-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−ii−i−ii−iii−i1-1-11-111-1i−i−ii−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i1-1-11-111-1
χ3211-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−ii−i−ii-111-11-1-11i−i−ii−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii-111-11-1-11
χ3322222222222222-122-12222-122-1-122-1-1-1-1-1-1-1-1-1-12222-12-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422222222222222-122-12222-122-1-122-1-1-1-1-1-1-1-1-1-12222-12-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-2-2-2-211111111111111110000000000000000
χ352222222222222-122-1222-1-122222-1-12222222222-1-1222-12-1-1-12-12-12-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222222220000000000000000000000000000-1-1-1-1-1-1-1-100000000
χ362222222222222-122-1222-1-122222-1-12222222222-1-1222-12-1-1-12-12-12-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000000000000000000000001111111100000000
χ37222222222222-122-122-1-1222-1-12222222222222222-1-12-1-12-1-1-12-12-12-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000000000222222220000000000000000000000000000-1-1-1-1-1-1-1-1
χ38222222222222-122-122-1-1222-1-12222222222222222-1-12-1-12-1-1-12-12-12-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000011111111
χ3922222222-2-2-2-222-122-12222-122-1-122-1-1111111112222-12-1-1-1-1-2-2-2-2-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-211111111-2-211111111222222220000000000000000-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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χ1714-4-44-4-44400004-2-2-422-442-224-4-222-22-22i3−2i3−2i32i32i3−2i3−2i32i3-22-44-2-2-21110000000022-1-1-12-22-2-11-1-111-22-221-111-1-12-22-2-11-1-111002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i3002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
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χ1784-4-44-4-4440000-2-2-22222-22-22-22-222-22-2−2i32i32i3−2i3−2i32i32i3−2i3-222-2-2111−1+3i32−1−3i3200000000-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000000000000000000000
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χ1834-4-4-444-4400004-2-2-422-442-22-442-2-22-222i3−2i3−2i32i3−2i32i32i3−2i32-24-4-2-2-21110000000022-1-1-12-22-2-11-1-1112-22-2-11-1-111-22-221-111-1-1002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1844-4-4-444-440000-2442-4-42-2-44-42-2-444-44-400000000-44-224-2-24-2-20000000022-4222-22-2-4422-2-22-22-2-4422-2-2-22-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-444-440000-24-22-422-2-4422-22-24-4-22−2i32i32i3−2i32i3−2i3−2i32i3-44-22-2-21-211000000002-12-1-12-2-112-2-1-1112-2-112-2-1-111-221-1-2211-1-100i3−i3−2i32i3i3i3−i3−i300−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1864-4-4-444-440000-24-22-422-2-4422-22-24-4-222i3−2i3−2i32i3−2i32i32i3−2i3-44-22-2-21-211000000002-12-1-12-2-112-2-1-1112-2-112-2-1-111-221-1-2211-1-100−i3i32i3−2i3−i3−i3i3i300i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
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χ1894-4-4-444-440000-2-2-22222-22-222-22-2-22-22−2i32i32i3−2i32i3−2i3−2i32i32-2-22-2111−1−3i32−1+3i3200000000-1-1-11+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000000000000000000000
χ1904-4-4-444-440000-2-2-22222-22-222-22-2-22-22−2i32i32i3−2i32i3−2i3−2i32i32-2-22-2111−1+3i32−1−3i3200000000-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000000000000000000000
χ1914-4-4-444-440000-2-2-22222-22-222-22-2-22-222i3−2i3−2i32i3−2i32i32i3−2i32-2-22-2111−1−3i32−1+3i3200000000-1-1-11+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i323-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000000000000000000000
χ1924-4-4-444-440000-2-2-22222-22-222-22-2-22-222i3−2i3−2i32i3−2i32i32i3−2i32-2-22-2111−1+3i32−1−3i3200000000-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).