Finite Group Databasebeta

← Group #13137213

Character table — Group #13137213

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444666612121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363654545454108108
order1222444433666666999121212121212121218181818181818181836363636363636363636363634466699912121212121212121212121212121212121212121818181818181818183636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636362244246666121212121818181818181818181818183636363636363636363636368888882424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1
χ91111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iii−i−iii−i−iii−i−ii−i
χ101111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−iii−i−iii−i−iii−ii
χ111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−ii−iii−i−iii−i−i−i−iii−ii
χ121111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−ii−i−iii−i−iiiii−i−ii−i
χ131111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−iiii−i−i−i−iiiii−i−i−ii
χ141111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiii−i−i−iiiii−i−i−i−iiii−i
χ151111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1ii−i−i−iiii−i−i−i−iii−i−iiii−i
χ161111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−iiii−i−i−iiiii−i−iii−i−i−ii
χ172222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000
χ192222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111112222-2-222-2-222-2-2-1-1-1-1-1-1111111-1-1-1-1-1-111111100000000000000000000
χ202222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-222-2-222-2-222111111-1-1-1-1-1-1111111-1-1-1-1-1-100000000000000000000
χ21222222222-1222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-12222ζ44−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−ζ68-122-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−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+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−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68222222-1-1-1-1-1-1-1-1ζ44−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−ζ6800000000000000000000
χ22222222222-1222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-12222ζ44−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−ζ68-122-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−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+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−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-2-2-2-2-2-211111111−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+ζ6800000000000000000000
χ23222222222-1222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-12222ζ44−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−ζ68-1-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-211-2-211-1-1-1-111111111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−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+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−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−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ682222-2-2-1-111-1-111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−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−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000000000000000
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χ12744-4-44i−4i4i−4i-24-2224-4-4-2-2-24i4i−4i−4i−2i−2i2i2i-22-22-22222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-200-22211100000000−2i−2i2i2i000000001-1-11-1-11-1-12i3−2i32i3−2i32i3−2i3−2323−2323−2323ii−i−iii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3−i3−i3i3i333−3−333−3−333−3−30000000000000000000000000000000000000000000000000000000000
χ12844-4-44i−4i4i−4i-2-2-222-2222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2i−2i2i2i−2i−2i2i2i2ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ221001-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800−2i32i30023−23ii−i−ii3i3−i3−i3−3−333−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ68−ζ4−ζ68−2ζ44−2ζ52−2ζ682ζ44+2ζ52+2ζ682ζ4+2ζ44+2ζ52−2ζ4−2ζ44−2ζ52−2ζ4+2ζ682ζ4−2ζ68−2ζ14−2ζ62−2ζ702ζ14+2ζ62+2ζ702ζ22+2ζ62+2ζ70−2ζ22−2ζ62−2ζ702ζ14−2ζ22−2ζ14+2ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ44+ζ52+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4+ζ44+ζ52ζ4−ζ68ζ4−ζ68−ζ4+ζ68−ζ4+ζ68ζ14+ζ62+ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70ζ22+ζ62+ζ70−ζ14+ζ22−ζ14+ζ22ζ14−ζ22ζ14−ζ220000000000000000000000000000000000000000000000000000000000
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χ1834-4-44-4-4444-2-4-4422-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682-2-22-444-4−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68-20022-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68000000002-2-2200000000−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68000000000000−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1844-4-44-4-4444-2-4-4422-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522-2-22-444-42ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52-20022-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52000000002-2-22000000002ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520000000000002ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-44-4-444-2422-2-4-44-2-2-2-444-42-2-22222222-2-2-22-2-222-2-222-2-22-20022-211123−2300−2323002-2-2223−2323−23−2323−2323-1-11-1-11-1-11000000000000-111-1-111-1-111-1−33−33−33−33−33−333−33−33−33−33−33−30000000000000000000000000000000000000000000000000000000000
χ1864-4-44-4-444-2422-2-4-44-2-2-2-444-42-2-22222222-2-2-22-2-222-2-222-2-22-20022-2111−23230023−23002-2-22−2323−232323−2323−23-1-11-1-11-1-11000000000000-111-1-111-1-111-13−33−33−33−33−33−3−33−33−33−33−33−330000000000000000000000000000000000000000000000000000000000
χ1874-4-44-4-444-2-222-222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682-2-222-2-22−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68100-1-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6823−2300−232300-111-1−33−333−33−3ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ4+ζ68000000000000ζ44−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−ζ68−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ700000000000000000000000000000000000000000000000000000000000
χ1884-4-44-4-444-2-222-222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682-2-222-2-22−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68100-1-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−23230023−2300-111-13−33−3−33−33ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ4+ζ68000000000000ζ44−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−ζ68ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ700000000000000000000000000000000000000000000000000000000000
χ1894-4-44-4-444-2-222-222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682-2-222-2-22−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68100-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6823−2300−232300-111-1−33−333−33−3ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68000000000000ζ4−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+ζ682ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ700000000000000000000000000000000000000000000000000000000000
χ1904-4-44-4-444-2-222-222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682-2-222-2-22−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68100-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−23230023−2300-111-13−33−3−33−33ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68000000000000ζ4−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+ζ68−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ700000000000000000000000000000000000000000000000000000000000
χ1914-4-44-4-444-2-222-222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522-2-222-2-222ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52100-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5223−2300−232300-111-1−33−333−33−3−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52000000000000−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−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ700000000000000000000000000000000000000000000000000000000000
χ1924-4-44-4-444-2-222-222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522-2-222-2-222ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52100-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−23230023−2300-111-13−33−3−33−33−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52000000000000−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+ζ52ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ700000000000000000000000000000000000000000000000000000000000

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