Finite Group Databasebeta

← Group #13140828

Character table — Group #13140828

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222222222222222244444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636363636363636216216
order12233446666999181818181818181818344666699912121212121212121818181818181818183636363636361212121212121212363636363636363636363636363636363636363636363636441212121236363636363636363636363641212363636363636224466661212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-111111111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1
χ6111111111111111111111111-1-111111111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11
χ7111111111111111111111111-1-111111111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-111-1-1-11
χ8111111111111111111111111-1-111111111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-111-1-1111-1
χ922222222222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
χ1022222222222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-211111100000000000000
χ1122222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-22222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111-1-1-1-1-1-1111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000000000
χ1222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-22222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111-1-1-1-1-1-1111111111111-2-2-2-2-2-2111111111111222-1-1-1-1-1-100000000000000
χ1322222-2-2222222222222222222-22222222-2-2-2-222-2-2222222222-2-2-2-2-2-22-2-2-222-2-2222-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000000000000
χ1422222-2-222222222222222222-222222222-2-2-2-2-2-222222222222-2-2-2-2-2-2-22-2-2-2-222-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000000000000
χ1522222-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-22222-1-1-1-2-2-2-222-2-2-1-1-1-1-1-1-1-1-11111112-2-2-222-2-2-1-1-1111111111-1-1-1-1-1-1111111000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i300000000000000
χ1622222-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-22222-1-1-1-2-2-2-222-2-2-1-1-1-1-1-1-1-1-11111112-2-2-222-2-2-1-1-1111111111-1-1-1-1-1-1111111000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i300000000000000
χ1722222-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-222222-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1111111-22-2-2-2-222111-1-1-1111111111111-1-1-1-1-1-1000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i300000000000000
χ1822222-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-222222-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1111111-22-2-2-2-222111-1-1-1111111111111-1-1-1-1-1-1000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i300000000000000
χ192222-122222-1222222222222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000002222-1-1-1-1-1-1-1-100
χ202222-122222-1222222222222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-2-2-21111111100
χ212222-122222-1222222222222-1-2-2-1-1-1-1-1-1-122-1-11111-1-1-1-1-1-1-1-1-1222222-2-2-1-11111-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000000000000002-22-2-1-111-1-11100
χ222222-122222-1222222222222-1-2-2-1-1-1-1-1-1-122-1-11111-1-1-1-1-1-1-1-1-1222222-2-2-1-11111-2-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000000000000-22-2211-1-111-1-100
χ232222-1-2-2222-1222222222222-12-2-1-1-1-1-1-1-1-2-211-1-111-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22-211-1-111222-2-2-2111111-1-1-1-1-1-11111110000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300
χ242222-1-2-2222-1222222222222-12-2-1-1-1-1-1-1-1-2-211-1-111-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22-211-1-111222-2-2-2111111-1-1-1-1-1-11111110000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300
χ252222-1-2-2222-1222222222222-1-22-1-1-1-1-1-1-1-2-21111-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-221111-1-1-2-2-2222111111111111-1-1-1-1-1-10000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300
χ262222-1-2-2222-1222222222222-1-22-1-1-1-1-1-1-1-2-21111-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-221111-1-1-2-2-2222111111111111-1-1-1-1-1-10000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300
χ27222-1222-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1222222ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ522-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ52-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000000000000
χ28222-1222-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1222222ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-21111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-211−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000000000
χ29222-1222-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-2-22-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-1-122-2-2-2-2ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ511-1-11111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ522-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-211−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000000000
χ30222-1222-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-2-22-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-1-122-2-2-2-2ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ511-1-11111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-2-21111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ52-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000000000000
χ31222-1222-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1222222ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ822-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ82-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000000000000
χ32222-1222-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1222222ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-21111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-211−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000000000
χ33222-1222-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-2-22-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-1-122-2-2-2-2ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ811-1-11111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ822-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-211−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000000000
χ34222-1222-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-2-22-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-1-122-2-2-2-2ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ811-1-11111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-2-21111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ82-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000000000000
χ35222-1222-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1222222ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ722-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ72-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000000000000
χ36222-1222-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1222222ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-21111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-211−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000000000
χ37222-1222-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-2-22-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-1-122-2-2-2-2ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ711-1-11111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ722-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-211−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000000000
χ38222-1222-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-2-22-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-1-122-2-2-2-2ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ711-1-11111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-2-21111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ72-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000000000000
χ39222-12-2-2-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-12-22-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ511-2-222-2-2ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-1111-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500i3i3−i3−i3ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ50i3−i3ζ−ζ8−ζ2+ζ7ζ4−ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ500000000000000
χ40222-12-2-2-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-12-22-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ511-2-222-2-2ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-1111-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500−i3−i3i3i3−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ50−i3i3−ζ+ζ8ζ2−ζ7−ζ4+ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ500000000000000
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χ43222-12-2-2-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-12-22-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ811-2-222-2-2ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-1111-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800i3i3−i3−i3−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ80i3−i3−ζ2+ζ7ζ4−ζ5ζ−ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ800000000000000
χ44222-12-2-2-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-12-22-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ811-2-222-2-2ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-1111-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800−i3−i3i3i3ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ80−i3i3ζ2−ζ7−ζ4+ζ5−ζ+ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ800000000000000
χ45222-12-2-2-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ811-2-2-2-222ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ81-11111-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800i3i3−i3−i3−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ80−i3i3ζ2−ζ7−ζ4+ζ5−ζ+ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ800000000000000
χ46222-12-2-2-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ811-2-2-2-222ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ81-11111-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800−i3−i3i3i3ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ80i3−i3−ζ2+ζ7ζ4−ζ5ζ−ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ800000000000000
χ47222-12-2-2-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-12-22-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ711-2-222-2-2ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-1111-1-111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700i3i3−i3−i3ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ70i3−i3ζ4−ζ5ζ−ζ8−ζ2+ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ700000000000000
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χ5122-2222-2-2-222222-2-2-2-2-2-2222200-2-2-222222-22-20000-2-2-2-2-2-22222-22-22-2002-200000000002-22-22-2000000000000000000000000000000000000000020-2002200-2-200
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χ5322-222-22-2-222222-2-2-2-2-2-2222200-2-2-22222-22-220000-2-2-2-2-2-2222-22-22-2200-220000000000-22-22-2200000000000000000000000000000000000000020-202200-2-20000
χ5422-222-22-2-222222-2-2-2-2-2-2222200-2-2-22222-22-220000-2-2-2-2-2-2222-22-22-2200-220000000000-22-22-22000000000000000000000000000000000000000-2020-2-200220000
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χ1238-808-40000-84-4-4-4−4i34i3−4i34i3−4i34i3444-4000004222000000002i3−2i32i3−2i32i3−2i3-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-80-4-4004i3−4i3444ζ+4ζ84ζ2+4ζ74ζ4+4ζ54ζ−4ζ8−4ζ+4ζ8−4ζ2+4ζ74ζ2−4ζ74ζ4−4ζ5−4ζ4+4ζ5−4ζ−4ζ8−4ζ2−4ζ7−4ζ4−4ζ52000−2i32i3-2−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ500000000−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ50000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-80-4-4004i3−4i3444ζ2+4ζ74ζ4+4ζ54ζ+4ζ8−4ζ2+4ζ74ζ2−4ζ74ζ4−4ζ5−4ζ4+4ζ54ζ−4ζ8−4ζ+4ζ8−4ζ2−4ζ7−4ζ4−4ζ5−4ζ−4ζ82000−2i32i3-2−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8000000002ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ80000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-80-4-4004i3−4i3444ζ4+4ζ54ζ+4ζ84ζ2+4ζ74ζ4−4ζ5−4ζ4+4ζ54ζ−4ζ8−4ζ+4ζ8−4ζ2+4ζ74ζ2−4ζ7−4ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ72000−2i32i3-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000000−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-80-4-400−4i34i3444ζ+4ζ84ζ2+4ζ74ζ4+4ζ5−4ζ+4ζ84ζ−4ζ84ζ2−4ζ7−4ζ2+4ζ7−4ζ4+4ζ54ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ7−4ζ4−4ζ520002i3−2i3-2−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5000000002ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ50000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-80-4-400−4i34i3444ζ2+4ζ74ζ4+4ζ54ζ+4ζ84ζ2−4ζ7−4ζ2+4ζ7−4ζ4+4ζ54ζ4−4ζ5−4ζ+4ζ84ζ−4ζ8−4ζ2−4ζ7−4ζ4−4ζ5−4ζ−4ζ820002i3−2i3-2−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ800000000−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ80000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-80-4-400−4i34i3444ζ4+4ζ54ζ+4ζ84ζ2+4ζ7−4ζ4+4ζ54ζ4−4ζ5−4ζ+4ζ84ζ−4ζ84ζ2−4ζ7−4ζ2+4ζ7−4ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ720002i3−2i3-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7000000002ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000

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