Finite Group Databasebeta

← Group #11922826

Character table — Group #11922826

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112224466668888121216161616161624242424242424241122244666688881212161616161616242424242424242411222446666888812121616161616162424242424242424
order1224424224436121224666121212444488883661212612661212361212612666121212121212122424242436612126126612123612126126661212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1
χ311111-1-111111111-1-11-1-11-1-111-1-1-1-11111111-1-111111111-1-11-1-11-1-111-1-1-1-11111111-1-111111111-1-11-1-11-1-111-1-1-1-111
χ411111-1-111111111-1-11-1-11-1-1-1-11111-1-111111-1-111111111-1-11-1-11-1-1-1-11111-1-111111-1-111111111-1-11-1-11-1-1-1-11111-1-1
χ511-1-111-1-11-1111-1-1-11-1111-1-11-11-11-11-111-1-111-1-11-1111-1-1-11-1111-1-11-11-11-11-111-1-111-1-11-1111-1-1-11-1111-1-11-11-11-11-1
χ611-1-111-1-11-1111-1-1-11-1111-1-1-11-11-11-1111-1-111-1-11-1111-1-1-11-1111-1-1-11-11-11-1111-1-111-1-11-1111-1-1-11-1111-1-1-11-11-11-11
χ711-1-11-11-11-1111-1-11-1-1-1-11111-1-11-111-111-1-11-11-11-1111-1-11-1-1-1-11111-1-11-111-111-1-11-11-11-1111-1-11-1-1-1-11111-1-11-111-1
χ811-1-11-11-11-1111-1-11-1-1-1-1111-111-11-1-1111-1-11-11-11-1111-1-11-1-1-1-1111-111-11-1-1111-1-11-11-11-1111-1-11-1-1-1-1111-111-11-1-11
χ922222222222-1-1-1-122-1-1-1-1-1-10000000022222222222-1-1-1-122-1-1-1-1-1-10000000022222222222-1-1-1-122-1-1-1-1-1-100000000
χ1022222-2-22222-1-1-1-1-2-2-111-1110000000022222-2-22222-1-1-1-1-2-2-111-1110000000022222-2-22222-1-1-1-1-2-2-111-11100000000
χ11222-2-200-2-22222-2-200200-20000000000222-2-200-2-22222-2-200200-20000000000222-2-200-2-22222-2-200200-20000000000
χ12222-2-200-2-222-1-11100-1−i3i31−i3i300000000222-2-200-2-222-1-11100-1−i3i31−i3i300000000222-2-200-2-222-1-11100-1−i3i31−i3i300000000
χ13222-2-200-2-222-1-11100-1i3−i31i3−i300000000222-2-200-2-222-1-11100-1i3−i31i3−i300000000222-2-200-2-222-1-11100-1i3−i31i3−i300000000
χ1422-22-2002-2-22222200-200-2000000000022-22-2002-2-22222200-200-2000000000022-22-2002-2-22222200-200-20000000000
χ1522-22-2002-2-22-1-1-1-1001−i3i31i3−i30000000022-22-2002-2-22-1-1-1-1001−i3i31i3−i30000000022-22-2002-2-22-1-1-1-1001−i3i31i3−i300000000
χ1622-22-2002-2-22-1-1-1-1001i3−i31−i3i30000000022-22-2002-2-22-1-1-1-1001i3−i31−i3i30000000022-22-2002-2-22-1-1-1-1001i3−i31−i3i300000000
χ1722-2-222-2-22-22-1-111-221-1-1-1110000000022-2-222-2-22-22-1-111-221-1-1-1110000000022-2-222-2-22-22-1-111-221-1-1-11100000000
χ1822-2-22-22-22-22-1-1112-2111-1-1-10000000022-2-22-22-22-22-1-1112-2111-1-1-10000000022-2-22-22-22-22-1-1112-2111-1-1-100000000
χ193333333-1-1-1-10000-1-100000011-1-111-1-13333333-1-1-1-10000-1-100000011-1-111-1-13333333-1-1-1-10000-1-100000011-1-111-1-1
χ203333333-1-1-1-10000-1-1000000-1-111-1-1113333333-1-1-1-10000-1-1000000-1-111-1-1113333333-1-1-1-10000-1-1000000-1-111-1-111
χ2133333-3-3-1-1-1-10000110000001111-1-1-1-133333-3-3-1-1-1-10000110000001111-1-1-1-133333-3-3-1-1-1-10000110000001111-1-1-1-1
χ2233333-3-3-1-1-1-1000011000000-1-1-1-1111133333-3-3-1-1-1-1000011000000-1-1-1-1111133333-3-3-1-1-1-1000011000000-1-1-1-11111
χ2333-3-333-31-11-100001-10000001-1-111-1-1133-3-333-31-11-100001-10000001-1-111-1-1133-3-333-31-11-100001-10000001-1-111-1-11
χ2433-3-333-31-11-100001-1000000-111-1-111-133-3-333-31-11-100001-1000000-111-1-111-133-3-333-31-11-100001-1000000-111-1-111-1
χ2533-3-33-331-11-10000-110000001-11-1-11-1133-3-33-331-11-10000-110000001-11-1-11-1133-3-33-331-11-10000-110000001-11-1-11-11
χ2633-3-33-331-11-10000-11000000-11-111-11-133-3-33-331-11-10000-11000000-11-111-11-133-3-33-331-11-10000-11000000-11-111-11-1
χ27666-6-60022-2-200000000000000000000666-6-60022-2-200000000000000000000666-6-60022-2-200000000000000000000
χ2866-66-600-222-20000000000000000000066-66-600-222-20000000000000000000066-66-600-222-200000000000000000000
χ298-80000000002-223−2300000000000000008-80000000002-223−2300000000000000008-80000000002-223−230000000000000000
χ308-80000000002-2−232300000000000000008-80000000002-2−232300000000000000008-80000000002-2−23230000000000000000
χ318-8000000000-440000000000000000008-8000000000-440000000000000000008-8000000000-44000000000000000000
χ321111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3311111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3411111-1-111111111-1-11-1-11-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3511111-1-111111111-1-11-1-11-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3611-1-111-1-11-1111-1-1-11-1111-1-11-11-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3711-1-111-1-11-1111-1-1-11-1111-1-1-11-11-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3811-1-11-11-11-1111-1-11-1-1-1-11111-1-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ3911-1-11-11-11-1111-1-11-1-1-1-1111-111-11-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ4022222222222-1-1-1-122-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000
χ4122222-2-22222-1-1-1-1-2-2-111-11100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i3200000000
χ42222-2-200-2-22222-2-200200-20000000000−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3001−i30000000000−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3001+i30000000000
χ43222-2-200-2-222-1-11100-1−i3i31−i3i300000000−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32001−i323+i32−3−i32−1+i323+i32−3−i3200000000−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32001+i32−3+i323−i32−1−i32−3+i323−i3200000000
χ44222-2-200-2-222-1-11100-1i3−i31i3−i300000000−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32001−i32−3−i323+i32−1+i32−3−i323+i3200000000−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32001+i323−i32−3+i32−1−i323−i32−3+i3200000000
χ4522-22-2002-2-22222200-200-20000000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i3001−i30000000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i3001+i30000000000
χ4622-22-2002-2-22-1-1-1-1001−i3i31i3−i300000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i323+i32−3−i32−1+i32−3−i323+i3200000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i32−3+i323−i32−1−i323−i32−3+i3200000000
χ4722-22-2002-2-22-1-1-1-1001i3−i31−i3i300000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i32−3−i323+i32−1+i323+i32−3−i3200000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i323−i32−3+i32−1−i32−3+i323−i3200000000
χ4822-2-222-2-22-22-1-111-221-1-1-11100000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i321−i3−1+i3−1+i321−i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i321+i3−1−i3−1−i321+i321+i321+i32−1−i32−1−i3200000000
χ4922-2-22-22-22-22-1-1112-2111-1-1-100000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i3−1+i32−1+i32−1+i321−i321−i321−i3200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i3−1−i32−1−i32−1−i321+i321+i321+i3200000000
χ503333333-1-1-1-10000-1-100000011-1-111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ513333333-1-1-1-10000-1-1000000-1-111-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i320000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i320000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ5233333-3-3-1-1-1-10000110000001111-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ5333333-3-3-1-1-1-1000011000000-1-1-1-11111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5433-3-333-31-11-100001-10000001-1-111-1-11−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i32−1+i321−i32−1+i321−i320000−1+i321−i32000000−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i32−1−i321+i32−1−i321+i320000−1−i321+i32000000−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5533-3-333-31-11-100001-1000000-111-1-111-1−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i32−1+i321−i32−1+i321−i320000−1+i321−i320000001−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i32−1−i321+i32−1−i321+i320000−1−i321+i320000001+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5633-3-33-331-11-10000-110000001-11-1-11-11−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i3200001−i32−1+i32000000−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i3200001+i32−1−i32000000−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ5733-3-33-331-11-10000-11000000-11-111-11-1−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i3200001−i32−1+i320000001−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i3200001+i32−1−i320000001+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ58666-6-60022-2-200000000000000000000−3+3i3−3+3i3−3+3i33−3i33−3i300−1+i3−1+i31−i31−i300000000000000000000−3−3i3−3−3i3−3−3i33+3i33+3i300−1−i3−1−i31+i31+i300000000000000000000
χ5966-66-600-222-200000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i3001−i3−1+i3−1+i31−i300000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i3001+i3−1−i3−1−i31+i300000000000000000000
χ608-80000000002-223−230000000000000000−4+4i34−4i3000000000−1+i31−i3−2ζ7−4ζ112ζ7+4ζ110000000000000000−4−4i34+4i3000000000−1−i31+i34ζ7+2ζ11−4ζ7−2ζ110000000000000000
χ618-80000000002-2−23230000000000000000−4+4i34−4i3000000000−1+i31−i32ζ7+4ζ11−2ζ7−4ζ110000000000000000−4−4i34+4i3000000000−1−i31+i3−4ζ7−2ζ114ζ7+2ζ110000000000000000
χ628-8000000000-44000000000000000000−4+4i34−4i30000000002−2i3−2+2i3000000000000000000−4−4i34+4i30000000002+2i3−2−2i3000000000000000000
χ631111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6411111111111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6511111-1-111111111-1-11-1-11-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ6611111-1-111111111-1-11-1-11-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6711-1-111-1-11-1111-1-1-11-1111-1-11-11-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ6811-1-111-1-11-1111-1-1-11-1111-1-1-11-11-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ6911-1-11-11-11-1111-1-11-1-1-1-11111-1-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ7011-1-11-11-11-1111-1-11-1-1-1-1111-111-11-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ7122222222222-1-1-1-122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ7222222-2-22222-1-1-1-1-2-2-111-11100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i3200000000
χ73222-2-200-2-22222-2-200200-20000000000−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3001+i30000000000−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3001−i30000000000
χ74222-2-200-2-222-1-11100-1−i3i31−i3i300000000−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32001+i32−3+i323−i32−1−i32−3+i323−i3200000000−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32001−i323+i32−3−i32−1+i323+i32−3−i3200000000
χ75222-2-200-2-222-1-11100-1i3−i31i3−i300000000−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32001+i323−i32−3+i32−1−i323−i32−3+i3200000000−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32001−i32−3−i323+i32−1+i32−3−i323+i3200000000
χ7622-22-2002-2-22222200-200-20000000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i3001+i30000000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i3001−i30000000000
χ7722-22-2002-2-22-1-1-1-1001−i3i31i3−i300000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i32−3+i323−i32−1−i323−i32−3+i3200000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i323+i32−3−i32−1+i32−3−i323+i3200000000
χ7822-22-2002-2-22-1-1-1-1001i3−i31−i3i300000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i323−i32−3+i32−1−i32−3+i323−i3200000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i32−3−i323+i32−1+i323+i32−3−i3200000000
χ7922-2-222-2-22-22-1-111-221-1-1-11100000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i321+i3−1−i3−1−i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i321−i3−1+i3−1+i321−i321−i321−i32−1+i32−1+i3200000000
χ8022-2-22-22-22-22-1-1112-2111-1-1-100000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i31+i3−1−i32−1−i32−1−i321+i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i31−i3−1+i32−1+i32−1+i321−i321−i321−i3200000000
χ813333333-1-1-1-10000-1-100000011-1-111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ823333333-1-1-1-10000-1-1000000-1-111-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i320000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i320000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ8333333-3-3-1-1-1-10000110000001111-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ8433333-3-3-1-1-1-1000011000000-1-1-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ8533-3-333-31-11-100001-10000001-1-111-1-11−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i32−1−i321+i32−1−i321+i320000−1−i321+i32000000−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i32−1+i321−i32−1+i321−i320000−1+i321−i32000000−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ8633-3-333-31-11-100001-1000000-111-1-111-1−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i32−1−i321+i32−1−i321+i320000−1−i321+i320000001+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i32−1+i321−i32−1+i321−i320000−1+i321−i320000001−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ8733-3-33-331-11-10000-110000001-11-1-11-11−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i3200001+i32−1−i32000000−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i3200001−i32−1+i32000000−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ8833-3-33-331-11-10000-11000000-11-111-11-1−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i3200001+i32−1−i320000001+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i3200001−i32−1+i320000001−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ89666-6-60022-2-200000000000000000000−3−3i3−3−3i3−3−3i33+3i33+3i300−1−i3−1−i31+i31+i300000000000000000000−3+3i3−3+3i3−3+3i33−3i33−3i300−1+i3−1+i31−i31−i300000000000000000000
χ9066-66-600-222-200000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i3001+i3−1−i3−1−i31+i300000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i3001−i3−1+i3−1+i31−i300000000000000000000
χ918-80000000002-223−230000000000000000−4−4i34+4i3000000000−1−i31+i34ζ7+2ζ11−4ζ7−2ζ110000000000000000−4+4i34−4i3000000000−1+i31−i3−2ζ7−4ζ112ζ7+4ζ110000000000000000
χ928-80000000002-2−23230000000000000000−4−4i34+4i3000000000−1−i31+i3−4ζ7−2ζ114ζ7+2ζ110000000000000000−4+4i34−4i3000000000−1+i31−i32ζ7+4ζ11−2ζ7−4ζ110000000000000000
χ938-8000000000-44000000000000000000−4−4i34+4i30000000002+2i3−2−2i3000000000000000000−4+4i34−4i30000000002−2i3−2+2i3000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.