Finite Group Databasebeta

← Group #13164147

Character table — Group #13164147

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222222223366666666881212121212121212121212121212121212121616161616161616185472721081081122222222336666666688121212121212121212121212121212121212161616161616161618547272108108
order1236999181818226618181818181836246612121818181818183636363636363699918181822664422661818181818182266181818181818662466121218181818181836363636363666181818181818226644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ522222222222222222222-1-1000000000000000000-1-1-1-1-1-1-1-122-1-10022222222222222222222-1-1000000000000000000-1-1-1-1-1-1-1-122-1-100
χ622222222222222222222-1-1000000000000000000-1-1-1-1-1-1-1-1-2-2110022222222222222222222-1-1000000000000000000-1-1-1-1-1-1-1-1-2-21100
χ72222-1-1-1-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000002222-1-1-1-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000
χ82222-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2-2-211111111111122-1-1-1-1-1-10000002222-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2-2-211111111111122-1-1-1-1-1-1000000
χ922-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52222-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000022-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52222-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ1022-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-2-21111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000022-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-2-21111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ1122-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82222-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000022-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82222-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ1222-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-2-21111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000022-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-2-21111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ1322-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72222-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000022-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72222-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ1422-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-2-21111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000022-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-2-21111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ152-22-2222-2-2-22-2-22-2-2-22222-20000000000000000002-2222-2-2-20000002-22-2222-2-2-22-2-22-2-2-22222-20000000000000000002-2222-2-2-2000000
χ162-22-2222-2-2-22-2-22-2-2-2222-11000000000000000000-11-1-1-111100i3−i3002-22-2222-2-2-22-2-22-2-2-2222-11000000000000000000-11-1-1-111100i3−i300
χ172-22-2222-2-2-22-2-22-2-2-2222-11000000000000000000-11-1-1-111100−i3i3002-22-2222-2-2-22-2-22-2-2-2222-11000000000000000000-11-1-1-111100−i3i300
χ182-22-2-1-1-11112-2-22111-1-1-12-2000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-1-1-11110000002-22-2-1-1-11112-2-22111-1-1-12-2000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-1-1-1111000000
χ192-22-2-1-1-11112-2-22111-1-1-12-2000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-1-1-11110000002-22-2-1-1-11112-2-22111-1-1-12-2000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-1-1-1111000000
χ202-2-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ52-21-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-200i3−i3i3−i3ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000002-2-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ52-21-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-200i3−i3i3−i3ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000
χ212-2-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ52-21-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-200−i3i3−i3i3−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000002-2-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ52-21-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-200−i3i3−i3i3−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000
χ222-2-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ82-21-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-200i3−i3i3−i3−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000002-2-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ82-21-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-200i3−i3i3−i3−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000
χ232-2-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ82-21-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-200−i3i3−i3i3ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000002-2-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ82-21-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-200−i3i3−i3i3ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000
χ242-2-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ72-21-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-200i3−i3i3−i3ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000002-2-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ72-21-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-200i3−i3i3−i3ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000
χ252-2-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ72-21-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-200−i3i3−i3i3−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000002-2-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ72-21-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-200−i3i3−i3i3−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000
χ263333333333-1-1-1-1-1-1-1-1-1-1001-111-1-1111111-1-1-1-1-1-1000000003-1001-13333333333-1-1-1-1-1-1-1-1-1-1001-111-1-1111111-1-1-1-1-1-1000000003-1001-1
χ273333333333-1-1-1-1-1-1-1-1-1-1001-111-1-1111111-1-1-1-1-1-100000000-3100-113333333333-1-1-1-1-1-1-1-1-1-1001-111-1-1111111-1-1-1-1-1-100000000-3100-11
χ283333333333-1-1-1-1-1-1-1-1-1-100-11-1-111-1-1-1-1-1-1111111000000003-100-113333333333-1-1-1-1-1-1-1-1-1-100-11-1-111-1-1-1-1-1-1111111000000003-100-11
χ293333333333-1-1-1-1-1-1-1-1-1-100-11-1-111-1-1-1-1-1-111111100000000-31001-13333333333-1-1-1-1-1-1-1-1-1-100-11-1-111-1-1-1-1-1-111111100000000-31001-1
χ304444-2-2-2-2-2-24444-2-2-2-2-2-2-2-2000000000000000000-2-21111110000004444-2-2-2-2-2-24444-2-2-2-2-2-2-2-2000000000000000000-2-2111111000000
χ3144-2-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ544-2-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5-2-200000000000000000011−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000044-2-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ544-2-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5-2-200000000000000000011−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000
χ3244-2-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ844-2-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8-2-200000000000000000011−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000044-2-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ844-2-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8-2-200000000000000000011−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000
χ3344-2-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ744-2-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7-2-200000000000000000011−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000044-2-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ744-2-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7-2-200000000000000000011−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000
χ344-44-4-2-2-22224-4-44222-2-2-2-22000000000000000000-22111-1-1-10000004-44-4-2-2-22224-4-44222-2-2-2-22000000000000000000-22111-1-1-1000000
χ354-4-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ54-42-2−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5-220000000000000000001-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000004-4-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ54-42-2−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5-220000000000000000001-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ364-4-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ84-42-2−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8-220000000000000000001-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000004-4-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ84-42-2−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8-220000000000000000001-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ374-4-222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ74-42-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7-220000000000000000001-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000004-4-222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ74-42-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7-220000000000000000001-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000
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χ1056-6-333ζ2+3ζ73ζ4+3ζ53ζ+3ζ8−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8-22-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000i3−i3−i3i3−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ800000000000000-663-3−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ82-21-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000−i3i3i3−i3ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ800000000000000
χ1066-6-333ζ2+3ζ73ζ4+3ζ53ζ+3ζ8−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8-22-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000−i3i3i3−i3ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ800000000000000-663-3−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ82-21-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000i3−i3−i3i3−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ800000000000000
χ1076-6-333ζ4+3ζ53ζ+3ζ83ζ2+3ζ7−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7-22-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000i3−i3−i3i3ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ700000000000000-663-3−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ72-21-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000−i3i3i3−i3−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ700000000000000
χ1086-6-333ζ4+3ζ53ζ+3ζ83ζ2+3ζ7−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7-22-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000−i3i3i3−i3−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ700000000000000-663-3−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ72-21-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000i3−i3−i3i3ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ700000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.