Finite Group Databasebeta

← Group #11721292

Character table — Group #11721292

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222224444444444444444444444444444444444444444444661212121212121212121212121212121212181836363636365454108
order1222336666669991818181818181818182366666666666999181818181818181818181818181818181818181818181818181818224661212181818181818363636363636224661212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-111-111-1-111-1
χ6111111111111111111111111-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-11
χ7111111111111111111111111-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-111-1-1-1-11
χ8111111111111111111111111-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-11-1-11111-1
χ9222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ10222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21111111111110000000000
χ11222222222222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-2222-2-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-111111111111122-222-2-2-1-1-1-1-1-11111110000000000
χ12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-2222-2-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-2-22-2-222111111-1-1-1-1-1-10000000000
χ1322222-122-1-12-12222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000222-1-1-1-1000
χ1422222-122-1-12-12222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2-21111000
χ1522222-122-1-12-1222222222222-2-1-2-211-1-1-11111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000000000022-2-1-111000
χ1622222-122-1-12-1222222222222-2-1-2-211-1-1-11111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111111111110000000000000000000-2-2211-1-1000
χ172222-12-1-122-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-1-1-122-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5222-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ50000000000
χ182222-12-1-122-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-1-1-122-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5-2-2-21111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ50000000000
χ192222-12-1-122-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-111-2-2-1-1-11111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ522-2-1-111ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ50000000000
χ202222-12-1-122-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-111-2-2-1-1-11111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5-2-2211-1-1−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ50000000000
χ212222-12-1-122-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-1-1-122-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8222-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ80000000000
χ222222-12-1-122-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-1-1-122-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8-2-2-21111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ80000000000
χ232222-12-1-122-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-111-2-2-1-1-11111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ822-2-1-111ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ80000000000
χ242222-12-1-122-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-111-2-2-1-1-11111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8-2-2211-1-1−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ80000000000
χ252222-12-1-122-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-1-1-122-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7222-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ70000000000
χ262222-12-1-122-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-1-1-122-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7-2-2-21111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ70000000000
χ272222-12-1-122-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-111-2-2-1-1-11111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ722-2-1-111ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ70000000000
χ282222-12-1-122-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-111-2-2-1-1-11111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7-2-2211-1-1−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ70000000000
χ2922-2-222-2-22-22-2222-2-2-2-2-2-22220200002-2-200002220000002-2-22-2-22-2-20000000000002-202-2002-22-22-20000000000000000
χ3022-2-222-2-22-22-2222-2-2-2-2-2-22220200002-2-200002220000002-2-22-2-22-2-2000000000000-220-2200-22-22-220000000000000000
χ3122-2-222-2-22-22-2-1-1-1111111-1-1-10200002-2-20000-1-1-1i3−i3i3−i3i3−i3-111-111-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-202-200-11-11-11i3−i3i3−i3i3−i30000000000
χ3222-2-222-2-22-22-2-1-1-1111111-1-1-10200002-2-20000-1-1-1i3−i3i3−i3i3−i3-111-111-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-220-22001-11-11-1−i3i3−i3i3−i3i30000000000
χ3322-2-222-2-22-22-2-1-1-1111111-1-1-10200002-2-20000-1-1-1−i3i3−i3i3−i3i3-111-111-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-202-200-11-11-11−i3i3−i3i3−i3i30000000000
χ3422-2-222-2-22-22-2-1-1-1111111-1-1-10200002-2-20000-1-1-1−i3i3−i3i3−i3i3-111-111-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-220-22001-11-11-1i3−i3i3−i3i3−i30000000000
χ3522-2-2-12112-2-1-2ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50-1i3−i300-111i3i3−i3−i3ζ+ζ8ζ2+ζ7ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ52-20-11i3−i3ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ50000000000
χ3622-2-2-12112-2-1-2ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50-1i3−i300-111i3i3−i3−i3ζ+ζ8ζ2+ζ7ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ5-2201-1−i3i3−ζ−ζ8ζ+ζ8−ζ2−ζ7ζ2+ζ7−ζ4−ζ5ζ4+ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ50000000000
χ3722-2-2-12112-2-1-2ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50-1−i3i300-111−i3−i3i3i3ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ+ζ8−ζ+ζ8ζ−ζ8ζ−ζ8ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7−ζ4+ζ5−ζ4+ζ5ζ4−ζ5ζ4−ζ52-20-11−i3i3ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ50000000000
χ3822-2-2-12112-2-1-2ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50-1−i3i300-111−i3−i3i3i3ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ+ζ8−ζ+ζ8ζ−ζ8ζ−ζ8ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7−ζ4+ζ5−ζ4+ζ5ζ4−ζ5ζ4−ζ5-2201-1i3−i3−ζ−ζ8ζ+ζ8−ζ2−ζ7ζ2+ζ7−ζ4−ζ5ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ50000000000
χ3922-2-2-12112-2-1-2ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80-1i3−i300-111i3i3−i3−i3ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ5ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ82-20-11i3−i3ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ80000000000
χ4022-2-2-12112-2-1-2ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80-1i3−i300-111i3i3−i3−i3ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ5ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ8-2201-1−i3i3−ζ2−ζ7ζ2+ζ7−ζ4−ζ5ζ4+ζ5−ζ−ζ8ζ+ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ80000000000
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χ944-4-44-2-22-22-2222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8010000-1-11-333-3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ500000000000000000000000000000
χ954-4-44-2-22-22-2222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7010000-1-113-3-33−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ72ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ500000000000000000000000000000
χ964-4-44-2-22-22-2222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7010000-1-11-333-3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ500000000000000000000000000000

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