Finite Group Databasebeta

← Group #13157234

Character table — Group #13157234

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222244444444444444444444444444488888888888888888888888888888888888888836363636363636367272216216216216
order12236663333334666666666666666666121241212121212121212121212121212121212121212121212121212121212121212121212121212224412121212664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii
χ51111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1
χ61111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-11
χ71111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1i−i−ii
χ81111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−iii−i
χ92222222222222-2222222222222222222-2-2000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002-20000002-20000
χ102222222222222-2222222222222222222-2-2000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-22000000-220000
χ11222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000
χ12222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111110000
χ13222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-2-21111-1-10000
χ14222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-222-1-1-1-1110000
χ15222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-1110−i3i3-2-2-2-21111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-200−i3−i3i3i3-110000
χ16222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-1110−i3i3-2-2-2-21111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2200i3i3−i3−i31-10000
χ17222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-1110i3−i3-2-2-2-21111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-200i3i3−i3−i3-110000
χ18222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-1110i3−i3-2-2-2-21111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2200−i3−i3i3i31-10000
χ1944444441-211-2-2411-2-21111-2-2-2-21-211-2-24444411-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-200000000000000
χ2044444441-211-2-2411-2-21111-2-2-2-21-211-2-244-4-4-411-2-21111-2-2-2-2-1-1-1-12222-1-1-1-12222-1-1-1-1222200000000000000
χ2144444441-211-2-2-411-2-21111-2-2-2-21-211-2-2-4-4000-1-122-1-1-1-1222233-3-3000033-3-3000033-3-3000000000000000000
χ2244444441-211-2-2-411-2-21111-2-2-2-21-211-2-2-4-4000-1-122-1-1-1-12222-3-3330000-3-3330000-3-333000000000000000000
χ234444444-21-2-2114-2-211-2-2-2-21111-21-2-21144444-2-211-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-2111100000000000000
χ244444444-21-2-2114-2-211-2-2-2-21111-21-2-21144-4-4-4-2-211-2-2-2-211112222-1-1-1-12222-1-1-1-12222-1-1-1-100000000000000
χ254444444-21-2-211-4-2-211-2-2-2-21111-21-2-211-4-400022-1-12222-1-1-1-1000033-3-3000033-3-3000033-3-300000000000000
χ264444444-21-2-211-4-2-211-2-2-2-21111-21-2-211-4-400022-1-12222-1-1-1-10000-3-3330000-3-3330000-3-33300000000000000
χ27444-2-2-2-21-2−1−3i32−1+3i3211411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-24-2-211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111111-2-2-2-2−1−3i32−1−3i32−1+3i32−1+3i321111−1+3i32−1+3i32−1−3i32−1−3i32111100000000000000
χ28444-2-2-2-21-2−1−3i32−1+3i3211411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-2-42211-2-2−1−3i32−1−3i32−1+3i32−1+3i321111-1-1-1-122221+3i321+3i321−3i321−3i32-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-100000000000000
χ29444-2-2-2-21-2−1−3i32−1+3i3211-411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211220−2i32i3-1-1221+3i321+3i321−3i321−3i32-1-1-1-133-3-30000−3−i32−3−i323−i323−i32i3i3i3i3−3+i32−3+i323+i323+i32−i3−i3−i3−i300000000000000
χ30444-2-2-2-21-2−1−3i32−1+3i3211-411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i32112202i3−2i3-1-1221+3i321+3i321−3i321−3i32-1-1-1-1-3-33300003+i323+i32−3+i32−3+i32−i3−i3−i3−i33−i323−i32−3−i32−3−i32i3i3i3i300000000000000
χ31444-2-2-2-21-2−1+3i32−1−3i3211411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-24-2-211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111111-2-2-2-2−1+3i32−1+3i32−1−3i32−1−3i321111−1−3i32−1−3i32−1+3i32−1+3i32111100000000000000
χ32444-2-2-2-21-2−1+3i32−1−3i3211411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-2-42211-2-2−1+3i32−1+3i32−1−3i32−1−3i321111-1-1-1-122221−3i321−3i321+3i321+3i32-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-100000000000000
χ33444-2-2-2-21-2−1+3i32−1−3i3211-411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211220−2i32i3-1-1221−3i321−3i321+3i321+3i32-1-1-1-1-3-33300003−i323−i32−3−i32−3−i32i3i3i3i33+i323+i32−3+i32−3+i32−i3−i3−i3−i300000000000000
χ34444-2-2-2-21-2−1+3i32−1−3i3211-411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i32112202i3−2i3-1-1221−3i321−3i321+3i321+3i32-1-1-1-133-3-30000−3+i32−3+i323+i323+i32−i3−i3−i3−i3−3−i32−3−i323−i323−i32i3i3i3i300000000000000
χ35444-2-2-2-2-2111−1−3i32−1+3i324-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-24-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1+3i32−1+3i32−1−3i32−1−3i3200000000000000
χ36444-2-2-2-2-2111−1−3i32−1+3i324-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-2-422-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-11−3i321−3i321+3i321+3i3200000000000000
χ37444-2-2-2-2-2111−1−3i32−1+3i32-4-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32220−2i32i322-1-1-1-1-1-11+3i321+3i321−3i321−3i32000033-3-3i3i3i3i3−3−i32−3−i323−i323−i32−i3−i3−i3−i3−3+i32−3+i323+i323+i3200000000000000
χ38444-2-2-2-2-2111−1−3i32−1+3i32-4-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i322202i3−2i322-1-1-1-1-1-11+3i321+3i321−3i321−3i320000-3-333−i3−i3−i3−i33+i323+i32−3+i32−3+i32i3i3i3i33−i323−i32−3−i32−3−i3200000000000000
χ39444-2-2-2-2-2111−1+3i32−1−3i324-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-24-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-211111111−1+3i32−1+3i32−1−3i32−1−3i321111−1−3i32−1−3i32−1+3i32−1+3i3200000000000000
χ40444-2-2-2-2-2111−1+3i32−1−3i324-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-422-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-11+3i321+3i321−3i321−3i3200000000000000
χ41444-2-2-2-2-2111−1+3i32−1−3i32-4-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32220−2i32i322-1-1-1-1-1-11−3i321−3i321+3i321+3i320000-3-333i3i3i3i33−i323−i32−3−i32−3−i32−i3−i3−i3−i33+i323+i32−3+i32−3+i3200000000000000
χ42444-2-2-2-2-2111−1+3i32−1−3i32-4-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i322202i3−2i322-1-1-1-1-1-11−3i321−3i321+3i321+3i32000033-3-3−i3−i3−i3−i3−3+i32−3+i323+i323+i32i3i3i3i3−3−i32−3−i323−i323−i3200000000000000
χ4344-444-4-41-211-2-20-1-122-1-1-1-122221-211-2-2000003-3003-33-30000−i3i3−i3i300−2i32i3−i3i3−i3i300−2i32i3−i3i3−i3i300−2i32i300000000000000
χ4444-444-4-41-211-2-20-1-122-1-1-1-122221-211-2-2000003-3003-33-30000i3−i3i3−i3002i3−2i3i3−i3i3−i3002i3−2i3i3−i3i3−i3002i3−2i300000000000000
χ4544-444-4-41-211-2-20-1-122-1-1-1-122221-211-2-200000-3300-33-330000−i3i3i3−i3−2i32i300−i3i3i3−i3−2i32i300−i3i3i3−i3−2i32i30000000000000000
χ4644-444-4-41-211-2-20-1-122-1-1-1-122221-211-2-200000-3300-33-330000i3−i3−i3i32i3−2i300i3−i3−i3i32i3−2i300i3−i3−i3i32i3−2i30000000000000000
χ4744-444-4-44444440-4-4-4-4-4-4-4-4-4-4-4-44444440000000000000000000000000000000000000000000000000000000
χ4844-444-4-4-21-2-211022-1-12222-1-1-1-1-21-2-21100000003-300003-33-300−2i32i3−i3i3i3−i300−2i32i3−i3i3i3−i300−2i32i3−i3i3i3−i300000000000000
χ4944-444-4-4-21-2-211022-1-12222-1-1-1-1-21-2-21100000003-300003-33-3002i3−2i3i3−i3−i3i3002i3−2i3i3−i3−i3i3002i3−2i3i3−i3−i3i300000000000000
χ5044-444-4-4-21-2-211022-1-12222-1-1-1-1-21-2-2110000000-330000-33-33−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i300000000000000
χ5144-444-4-4-21-2-211022-1-12222-1-1-1-1-21-2-2110000000-330000-33-332i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i300000000000000
χ5244-4-2-2221-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i3211−2i32i30003-300−3−i323+i32−3+i323−i32−i3i3i3−i3−i3i3−i3i300−2i32i33+i32−3−i32−3+i323−i323-3i3−i3−3+i323−i323+i32−3−i32-33i3−i300000000000000
χ5344-4-2-2221-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i3211−2i32i30003-300−3−i323+i32−3+i323−i32−i3i3i3−i3i3−i3i3−i3002i3−2i3−3−i323+i323−i32−3+i32-33−i3i33−i32−3+i32−3−i323+i323-3−i3i300000000000000
χ5444-4-2-2221-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i32112i3−2i3000-33003+i32−3−i323−i32−3+i32i3−i3−i3i3−i3i3i3−i3−2i32i3003+i32−3−i323−i32−3+i32i3−i33-3−3+i323−i32−3−i323+i32i3−i3-3300000000000000
χ5544-4-2-2221-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i32112i3−2i3000-33003+i32−3−i323−i32−3+i32i3−i3−i3i3i3−i3−i3i32i3−2i300−3−i323+i32−3+i323−i32−i3i3-333−i32−3+i323+i32−3−i32−i3i33-300000000000000
χ5644-4-2-2221-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i3211−2i32i3000-33003−i32−3+i323+i32−3−i32−i3i3i3−i3−i3i3i3−i3−2i32i300−3+i323−i32−3−i323+i32i3−i3-333+i32−3−i323−i32−3+i32i3−i33-300000000000000
χ5744-4-2-2221-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i3211−2i32i3000-33003−i32−3+i323+i32−3−i32−i3i3i3−i3i3−i3−i3i32i3−2i3003−i32−3+i323+i32−3−i32−i3i33-3−3−i323+i32−3+i323−i32−i3i3-3300000000000000
χ5844-4-2-2221-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i32112i3−2i30003-300−3+i323−i32−3−i323+i32i3−i3−i3i3−i3i3−i3i300−2i32i3−3+i323−i323+i32−3−i32-33i3−i33+i32−3−i32−3+i323−i323-3i3−i300000000000000
χ5944-4-2-2221-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i32112i3−2i30003-300−3+i323−i32−3−i323+i32i3−i3−i3i3i3−i3i3−i3002i3−2i33−i32−3+i32−3−i323+i323-3−i3i3−3−i323+i323−i32−3+i32-33−i3i300000000000000
χ6044-4-2-22244-2-2-2-20-4-4-4-42222222244-2-2-2-2−2i32i30000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000
χ6144-4-2-22244-2-2-2-20-4-4-4-42222222244-2-2-2-22i3−2i300000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000
χ6244-4-2-222-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i32−2i32i300000-33i3−i3−i3i33+i32−3−i323−i32−3+i32−2i32i300i3−i3i3−i3i3−i3-33−3−i323+i323−i32−3+i32i3−i33-33−i32−3+i32−3−i323+i3200000000000000
χ6344-4-2-222-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i32−2i32i300000-33i3−i3−i3i33+i32−3−i323−i32−3+i322i3−2i300−i3i3−i3i3−i3i33-33+i32−3−i32−3+i323−i32−i3i3-33−3+i323−i323+i32−3−i3200000000000000
χ6444-4-2-222-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i322i3−2i3000003-3−i3i3i3−i3−3−i323+i32−3+i323−i3200−2i32i3−i3i3i3−i3-33i3−i33+i32−3−i323−i32−3+i323-3i3−i3−3+i323−i32−3−i323+i3200000000000000
χ6544-4-2-222-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i322i3−2i3000003-3−i3i3i3−i3−3−i323+i32−3+i323−i32002i3−2i3i3−i3−i3i33-3−i3i3−3−i323+i32−3+i323−i32-33−i3i33−i32−3+i323+i32−3−i3200000000000000
χ6644-4-2-222-2111−1+3i32−1−3i32022-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i32−2i32i3000003-3i3−i3−i3i3−3+i323−i32−3−i323+i3200−2i32i3−i3i3i3−i33-3i3−i3−3+i323−i32−3−i323+i32-33i3−i33+i32−3−i323−i32−3+i3200000000000000
χ6744-4-2-222-2111−1+3i32−1−3i32022-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i32−2i32i3000003-3i3−i3−i3i3−3+i323−i32−3−i323+i32002i3−2i3i3−i3−i3i3-33−i3i33−i32−3+i323+i32−3−i323-3−i3i3−3−i323+i32−3+i323−i3200000000000000
χ6844-4-2-222-2111−1+3i32−1−3i32022-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i322i3−2i300000-33−i3i3i3−i33−i32−3+i323+i32−3−i32−2i32i300i3−i3i3−i3i3−i33-33−i32−3+i32−3−i323+i32i3−i3-33−3−i323+i323−i32−3+i3200000000000000
χ6944-4-2-222-2111−1+3i32−1−3i32022-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i322i3−2i300000-33−i3i3i3−i33−i32−3+i323+i32−3−i322i3−2i300−i3i3−i3i3−i3i3-33−3+i323−i323+i32−3−i32−i3i33-33+i32−3−i32−3+i323−i3200000000000000
χ704-404-4004444440000000000000-4-4-4-4-4-400000000000000000000000000000000000000000002i−2i2i−2i2i−2i000000
χ714-404-4004444440000000000000-4-4-4-4-4-40000000000000000000000000000000000000000000−2i2i−2i2i−2i2i000000
χ724-40-22−2i32i344-2-2-2-200000−2i32i3−2i32i3−2i32i3−2i32i3-4-4222200000000000000000000000000000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ11000000
χ734-40-22−2i32i344-2-2-2-200000−2i32i3−2i32i3−2i32i3−2i32i3-4-422220000000000000000000000000000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ11000000
χ744-40-222i3−2i344-2-2-2-2000002i3−2i32i3−2i32i3−2i32i3−2i3-4-4222200000000000000000000000000000000000000000002i−2i2ζ11−2ζ112ζ7−2ζ7000000
χ754-40-222i3−2i344-2-2-2-2000002i3−2i32i3−2i32i3−2i32i3−2i3-4-422220000000000000000000000000000000000000000000−2i2i−2ζ112ζ11−2ζ72ζ7000000
χ768-808-8002-422-4-406-6006-6-660000-24-2-2440000000000000000000000000000000000000000000000000000000
χ778-808-8002-422-4-40-6600-666-60000-24-2-2440000000000000000000000000000000000000000000000000000000
χ788-808-800-42-4-4220006-600006-6-664-244-2-20000000000000000000000000000000000000000000000000000000
χ798-808-800-42-4-422000-660000-666-64-244-2-20000000000000000000000000000000000000000000000000000000
χ808-80-44−4i34i32-4−1−3i3−1+3i32206-600−3−i33+i33−i3−3+i32i3−2i32i3−2i3-241+3i31−3i3-2-20000000000000000000000000000000000000000000000000000000
χ818-80-44−4i34i32-4−1+3i3−1−3i3220-66003−i3−3+i3−3−i33+i32i3−2i32i3−2i3-241−3i31+3i3-2-20000000000000000000000000000000000000000000000000000000
χ828-80-44−4i34i3-4222−1−3i3−1+3i30006-62i3−2i32i3−2i3−3−i33+i33−i3−3+i34-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000
χ838-80-44−4i34i3-4222−1+3i3−1−3i3000-662i3−2i32i3−2i33−i3−3+i3−3−i33+i34-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000
χ848-80-444i3−4i32-4−1−3i3−1+3i3220-66003+i3−3−i3−3+i33−i3−2i32i3−2i32i3-241+3i31−3i3-2-20000000000000000000000000000000000000000000000000000000
χ858-80-444i3−4i32-4−1+3i3−1−3i32206-600−3+i33−i33+i3−3−i3−2i32i3−2i32i3-241−3i31+3i3-2-20000000000000000000000000000000000000000000000000000000
χ868-80-444i3−4i3-4222−1−3i3−1+3i3000-66−2i32i3−2i32i33+i3−3−i3−3+i33−i34-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000
χ878-80-444i3−4i3-4222−1+3i3−1−3i30006-6−2i32i3−2i32i3−3+i33−i33+i3−3−i34-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000

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