Finite Group Databasebeta

← Group #13173183

Character table — Group #13173183

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111144444444661111444444446622228888888812122222888888881212222288888888121222228888888812122222888888881212222288888888121222228888888812122222888888881212999936363636363636365454999936363636363636365454
order12443366121212122422446666121212122436121233661212121261236121233661212121261236121233661212121261236121233661212121261266121266661212121261266121266661212121261266121266661212121261266121266661212121261244441212121212121212444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ31111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ411-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11
χ511-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11
χ611-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11
χ72-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00
χ82-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700
χ92-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ102-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00
χ112-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700
χ122-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ13333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1
χ1433-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1
χ1511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1
χ171111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1
χ1811-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1
χ1911-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ2011-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ212-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00
χ222-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700
χ232-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100
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χ27333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011
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χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ11ζ7ζ11ζ7ζ11ζ11ζ7ζ7ii−i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7−i−i
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χ362-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7002i−2i-22−ζ11−ζ7ζ11ζ71+i32−1−i321−i32−1+i3200−2i2i2-2ζ11ζ7−ζ11−ζ7−1−i321+i32−1+i321−i3200
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χ392-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7002i−2i2-2−ζ11−ζ7ζ11ζ7−1−i321+i32−1+i321−i3200−2i2i-22ζ11ζ7−ζ11−ζ71+i32−1−i321−i32−1+i3200
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χ41333300000000-1-1-3-3-3-30000000011333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011-3-3-3-30000000011-3-3-3-300000000113i3i3i3i00000000−i−i−3i−3i−3i−3i00000000ii
χ4233-3-3000000001-1-3-33300000000-1133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1-3-33300000000-11-3-33300000000-11-3-33300000000-11-3-33300000000-113i3i−3i−3i00000000i−i−3i−3i3i3i00000000−ii
χ4311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii
χ441111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1−i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7−i−iiiiiζ11ζ7ζ11ζ7ζ11ζ11ζ7ζ7ii
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χ4611-1-11111-1-1-1-1-11-1-111-1-1-1-111111-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1−i−iii−i−i−i−iiiiii−iii−i−iiiii−i−i−i−i−ii
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χ1562222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-2-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-12222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3221111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-20000000000000000000000000000
χ1572222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-2-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-12222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3221111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-20000000000000000000000000000
χ15822-2-22222-2-2-2-2-22-2-222-2-2-2-222222-2-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-122-2-22222-2-2-2-2-2211-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-2-222-2-2-2-222222-20000000000000000000000000000
χ15922-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-22-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i32-2-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-122-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-2211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i32-20000000000000000000000000000
χ16022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-22-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i32-2-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-122-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-2211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i32-20000000000000000000000000000
χ1614-44i−4i-2-2222i−2i2i−2i00-44−4i4i22-2-2−2i2i−2i2i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii004-44i−4i-2-2222i−2i2i−2i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-44−4i4i22-2-2−2i2i−2i2i000000000000000000000000000000
χ1624-44i−4i1+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ700-44−4i4i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7004-44i−4i1+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-44−4i4i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7000000000000000000000000000000
χ1634-44i−4i1−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ1100-44−4i4i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11004-44i−4i1−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-44−4i4i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11000000000000000000000000000000
χ1644-4−4i4i-2-222−2i2i−2i2i00-444i−4i22-2-22i−2i2i−2i00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i004-4−4i4i-2-222−2i2i−2i2i002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-444i−4i22-2-22i−2i2i−2i000000000000000000000000000000
χ1654-4−4i4i1+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ700-444i−4i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7004-4−4i4i1+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-444i−4i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ7000000000000000000000000000000
χ1664-4−4i4i1−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ1100-444i−4i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11004-4−4i4i1−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-444i−4i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11000000000000000000000000000000
χ167666600000000-2-2-6-6-6-60000000022-3-3-3-30000000011-3-3-3-30000000011-3-3-3-30000000011666600000000-2-2333300000000-1-1333300000000-1-1333300000000-1-1-6-6-6-600000000220000000000000000000000000000
χ16866-6-6000000002-2-6-66600000000-22-3-33300000000-11-3-33300000000-11-3-33300000000-1166-6-6000000002-233-3-3000000001-133-3-3000000001-133-3-3000000001-1-6-66600000000-220000000000000000000000000000

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