Finite Group Databasebeta

← Group #13139486

Character table — Group #13139486

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444666612121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363654545454108108
order1222444433666666999121212121212121218181818181818181836363636363636363636363623466666666666999121212121212121212121212181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636363636363636888888242424242424242472727272727272727272727272727272727272727272727222444466121212121212888888
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
χ5111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-11111-1-1
χ91111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i11-1-11-11111-1-1-1-1ii−i−ii−i
χ101111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-1-111-11-1-1-1-11111−i−iii−ii
χ111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii11-1-11-11111-1-1-1-1−i−iii−ii
χ121111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-1-111-11-1-1-1-11111ii−i−ii−i
χ131111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii11-1-1-1111-1-111-1-1ii−i−i−ii
χ141111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1111-1-1-111-1-111−i−iiii−i
χ151111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiii−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i11-1-1-1111-1-111-1-1−i−iiii−i
χ161111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiii−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-1-1111-1-1-111-1-111ii−i−i−ii
χ172222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000
χ192222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-2-222-2-2-2-22-1-1-1-2-2-2-22222-2-2-2-2111111-1-1-1-1-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111112222-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000
χ202222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-2-222-2-2-2-22-1-1-1-2-2-2-22222-2-2-2-2111111-1-1-1-1-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-222-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ21222222222-1222-1-1-1222-1-1-1-122222222222222222222222222-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000222222-1-1-1-1-1-1-1-1000000
χ22222222222-1222-1-1-1222-1-1-1-122222222222222222222222222-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000-2-2-2-2-2-211111111000000
χ23222222222-1222-1-1-1222-1-1-1-12222222222222222222222222-2-1-2-2-211-1-11111-1-1-1-1-2-211-1-1-1-11111-2-2-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000000000002222-2-2-1-11111-1-1000000
χ24222222222-1222-1-1-1222-1-1-1-12222222222222222222222222-2-1-2-2-211-1-11111-1-1-1-1-2-211-1-1-1-11111-2-2-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000000000-2-2-2-22211-1-1-1-111000000
χ2522222222-12-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1-1-1ζ44−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−ζ682-12-1-122-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122-1-1-1-1-1-1-1-1ζ44−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−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
χ2622222222-12-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1-1-1ζ44−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−ζ682-12-1-122-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122-1-1-1-1-1-1-1-1ζ44−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−ζ68-2-2-2-2-2-211111111−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
χ2722222222-12-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1-1-1ζ44−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−ζ68-2-1-211-2-2-1-11111-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2-1-1-1-11111−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−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+ζ682222-2-2-1-1-1-11111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−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+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000000000000000
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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+2ζ52−2ζ680100000-1-13-3-331−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000-111-1-333-3000000ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000ζ4−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−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ680000000000000000000000000000000000000000000000000000000000
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+2ζ52−2ζ680100000-1-1-333-31−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000-111-13-3-33000000ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000ζ4−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+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ680000000000000000000000000000000000000000000000000000000000
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+2ζ44−2ζ520100000-1-13-3-331ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000-111-1-333-3000000−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000−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+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ680000000000000000000000000000000000000000000000000000000000
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+2ζ44−2ζ520100000-1-1-333-31ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000-111-13-3-33000000−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000−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+ζ52ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ680000000000000000000000000000000000000000000000000000000000

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