Finite Group Databasebeta

← Group #13139357

Character table — Group #13139357

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size11111111222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818108108108108
order1222444422334466666666669991212121212121212121212121818181818181818183636363636363636363636363666666666999121212121212121212121818181818181818181818181818181818181818181818181818183636363636363636363636363636363636363636363636363636363636368888242424242424242472727272727272727272727272727272727272727272727244444444121212121212121212121212121212128888
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-1-1-11111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111-1-111-1-1-1-1-1-11111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ711111111-1-111-1-1-1-1-1-11111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111-1-111-1-1-1-1-1-11111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−i
χ101111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii
χ111111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii
χ121111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−ii
χ141111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i
χ151111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i
χ161111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii
χ17222222222222222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ18222222222222222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000
χ1922222222222-1222222-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822222222-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1ζ44−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+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ682222-1-1-1-1-1-1-1-1ζ44−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−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000000000000000000000000000
χ2022222222222-1222222-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822222222-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1ζ44−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+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-2-2-2-211111111−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−ζ52ζ4+ζ68ζ4+ζ680000000000000000000000000000
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χ432222-2-2-2-2222-1-2-22222-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-2-2-2-2-2-21111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-1-1-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521111111111−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−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ522i−2i2i−2i−i−iii−i−iii−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ700000000000000000000000000000
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χ462222-2-2-2-222-12-2-2-1-1-1-122-12-1-122211111111-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-1-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111111111000000000000000000000000000000000000-2-222-2-2221111-1-1-1-11111-1-1-1-10000
χ472222-2-2-2-2-2-22222-2-2-2-2222222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112-2-222-2-2-2-22-1-1-122-2-2-2-22222111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-12i−2i−2i2i2i2i−2i−2i−2i−2i2i2i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i0000000000000000000000000000
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χ492222-2-2-2-2-2-22-122-2-2-2-2-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-2-222221111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68-111-1-11111-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-11111-1-1-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ682i−2i−2i2i−i−iiiii−i−iζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ220000000000000000000000000000
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χ1954-4-444i−4i−4i4i-44-2-2−4i4i2-2-222-2222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ7012-2-11-111-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682i−2ii−i−ii−iii−i−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ700000000000000000000000000000000000000000000000000000000000000000
χ1964-4-444i−4i−4i4i-44-2-2−4i4i2-2-222-2222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ7012-2-11-111-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522i−2ii−i−ii−iii−i2ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ700000000000000000000000000000000000000000000000000000000000000000
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χ1984-4-44−4i4i4i−4i4-4-2-2−4i4i-222-22-2222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ221-22-111-1-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682i−2i−iii−i−iii−i2ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ220000000000000000000000000000000000000000000000000000000000000000
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χ2024-4-44−4i4i4i−4i-44-2-24i−4i2-2-222-2222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ2212-2-11-111-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2i2i−iii−ii−i−ii−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ220000000000000000000000000000000000000000000000000000000000000000
χ2034-4-44−4i4i4i−4i-44-2-24i−4i2-2-222-2222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ7012-2-11-111-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2i2i−iii−ii−i−ii−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ700000000000000000000000000000000000000000000000000000000000000000
χ2044-4-44−4i4i4i−4i-44-2-24i−4i2-2-222-2222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i−2i2i−2i2i2i−2i2i−2i−2i2i2ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7012-2-11-111-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2i2i−iii−ii−i−ii2ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ700000000000000000000000000000000000000000000000000000000000000000

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