Finite Group Databasebeta

← Group #11723088

Character table — Group #11723088

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112444444444444444441818363636363611244444444444444444181836363636361124444444444444444418183636363636
order122233666666666666664428888366633666666666666661212624242424366633666666666666661212624242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1
χ311111111111111111111-1-1-1ii−i−i11111111111111111111-1-1-1ii−i−i11111111111111111111-1-1-1ii−i−i
χ411111111111111111111-1-1-1−i−iii11111111111111111111-1-1-1−i−iii11111111111111111111-1-1-1−i−iii
χ5111-111111111-1-1-1-1-1-1-1-111-11-11-1111-111111111-1-1-1-1-1-1-1-111-11-11-1111-111111111-1-1-1-1-1-1-1-111-11-11-1
χ6111-111111111-1-1-1-1-1-1-1-111-1-11-11111-111111111-1-1-1-1-1-1-1-111-1-11-11111-111111111-1-1-1-1-1-1-1-111-1-11-11
χ7111-111111111-1-1-1-1-1-1-1-1-1-11i−i−ii111-111111111-1-1-1-1-1-1-1-1-1-11i−i−ii111-111111111-1-1-1-1-1-1-1-1-1-11i−i−ii
χ8111-111111111-1-1-1-1-1-1-1-1-1-11−iii−i111-111111111-1-1-1-1-1-1-1-1-1-11−iii−i111-111111111-1-1-1-1-1-1-1-1-1-11−iii−i
χ922-202222-2-2-2-2000000002-20000022-202222-2-2-2-2000000002-20000022-202222-2-2-2-2000000002-200000
χ1022-202222-2-2-2-200000000-220000022-202222-2-2-2-200000000-220000022-202222-2-2-2-200000000-2200000
χ1144441-21-211-2-21111-2-2-2-2000000044441-21-211-2-21111-2-2-2-2000000044441-21-211-2-21111-2-2-2-20000000
χ124444-21-21-2-211-2-2-2-2111100000004444-21-21-2-211-2-2-2-2111100000004444-21-21-2-211-2-2-2-211110000000
χ13444-41-21-211-2-2-1-1-1-122220000000444-41-21-211-2-2-1-1-1-122220000000444-41-21-211-2-2-1-1-1-122220000000
χ14444-4-21-21-2-2112222-1-1-1-10000000444-4-21-21-2-2112222-1-1-1-10000000444-4-21-21-2-2112222-1-1-1-10000000
χ1544-401-21-2-1-12233-3-30000000000044-401-21-2-1-12233-3-30000000000044-401-21-2-1-12233-3-300000000000
χ1644-401-21-2-1-122-3-3330000000000044-401-21-2-1-122-3-3330000000000044-401-21-2-1-122-3-33300000000000
χ1744-40-21-2122-1-1000033-3-3000000044-40-21-2122-1-1000033-3-3000000044-40-21-2122-1-1000033-3-30000000
χ1844-40-21-2122-1-10000-3-333000000044-40-21-2122-1-10000-3-333000000044-40-21-2122-1-10000-3-3330000000
χ194-4001-2-123-300−i3i3−i3i300−2i32i300000004-4001-2-123-300−i3i3−i3i300−2i32i300000004-4001-2-123-300−i3i3−i3i300−2i32i30000000
χ204-4001-2-123-300i3−i3i3−i3002i3−2i300000004-4001-2-123-300i3−i3i3−i3002i3−2i300000004-4001-2-123-300i3−i3i3−i3002i3−2i30000000
χ214-4001-2-12-3300−i3i3i3−i3−2i32i30000000004-4001-2-12-3300−i3i3i3−i3−2i32i30000000004-4001-2-12-3300−i3i3i3−i3−2i32i3000000000
χ224-4001-2-12-3300i3−i3−i3i32i3−2i30000000004-4001-2-12-3300i3−i3−i3i32i3−2i30000000004-4001-2-12-3300i3−i3−i3i32i3−2i3000000000
χ234-40044-4-400000000000000000004-40044-4-400000000000000000004-40044-4-40000000000000000000
χ244-400-212-1003-300−2i32i3−i3i3i3−i300000004-400-212-1003-300−2i32i3−i3i3i3−i300000004-400-212-1003-300−2i32i3−i3i3i3−i30000000
χ254-400-212-1003-3002i3−2i3i3−i3−i3i300000004-400-212-1003-3002i3−2i3i3−i3−i3i300000004-400-212-1003-3002i3−2i3i3−i3−i3i30000000
χ264-400-212-100-33−2i32i300i3−i3i3−i300000004-400-212-100-33−2i32i300i3−i3i3−i300000004-400-212-100-33−2i32i300i3−i3i3−i30000000
χ274-400-212-100-332i3−2i300−i3i3−i3i300000004-400-212-100-332i3−2i300−i3i3−i3i300000004-400-212-100-332i3−2i300−i3i3−i3i30000000
χ28111111111111111111111111111−1+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
χ2911111111111111111111111-1-1-1-1−1+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−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+i32
χ3011111111111111111111-1-1-1ii−i−i−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−i32ζ7ζ7−ζ7−ζ7−1−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+i32ζ11ζ11−ζ11−ζ11
χ3111111111111111111111-1-1-1−i−iii−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−i32−ζ7−ζ7ζ7ζ7−1−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+i32−ζ11−ζ11ζ11ζ11
χ32111-111111111-1-1-1-1-1-1-1-111-11-11-1−1+i32−1+i32−1+i321−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+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+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−i321+i32−1−i321+i32−1−i321+i32
χ33111-111111111-1-1-1-1-1-1-1-111-1-11-11−1+i32−1+i32−1+i321−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+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+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−i321+i321+i32−1−i321+i32−1−i32
χ34111-111111111-1-1-1-1-1-1-1-1-1-11i−i−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ35111-111111111-1-1-1-1-1-1-1-1-1-11−iii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ3622-202222-2-2-2-2000000002-200000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000−1+i31−i300000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000−1−i31+i300000
χ3722-202222-2-2-2-200000000-2200000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000001−i3−1+i300000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000001+i3−1−i300000
χ3844441-21-211-2-21111-2-2-2-20000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i30000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i30000000
χ394444-21-21-2-211-2-2-2-211110000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000000
χ40444-41-21-211-2-2-1-1-1-122220000000−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000000−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000000
χ41444-4-21-21-2-2112222-1-1-1-10000000−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000000
χ4244-401-21-2-1-12233-3-300000000000−2+2i3−2+2i32−2i30−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3−3+3i32−3+3i323−3i323−3i3200000000000−2−2i3−2−2i32+2i30−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3−3−3i32−3−3i323+3i323+3i3200000000000
χ4344-401-21-2-1-122-3-33300000000000−2+2i3−2+2i32−2i30−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i33−3i323−3i32−3+3i32−3+3i3200000000000−2−2i3−2−2i32+2i30−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i33+3i323+3i32−3−3i32−3−3i3200000000000
χ4444-40-21-2122-1-1000033-3-30000000−2+2i3−2+2i32−2i301−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i320000−3+3i32−3+3i323−3i323−3i320000000−2−2i3−2−2i32+2i301+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i320000−3−3i32−3−3i323+3i323+3i320000000
χ4544-40-21-2122-1-10000-3-3330000000−2+2i3−2+2i32−2i301−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i3200003−3i323−3i32−3+3i32−3+3i320000000−2−2i3−2−2i32+2i301+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i3200003+3i323+3i32−3−3i32−3−3i320000000
χ464-4001-2-123-300−i3i3−i3i300−2i32i30000000−2+2i32−2i300−1+i321−i31−i32−1+i3−3+3i323−3i32003+i32−3−i323+i32−3−i32003+i3−3−i30000000−2−2i32+2i300−1−i321+i31+i32−1−i3−3−3i323+3i3200−3+i323−i32−3+i323−i3200−3+i33−i30000000
χ474-4001-2-123-300i3−i3i3−i3002i3−2i30000000−2+2i32−2i300−1+i321−i31−i32−1+i3−3+3i323−3i3200−3−i323+i32−3−i323+i3200−3−i33+i30000000−2−2i32+2i300−1−i321+i31+i32−1−i3−3−3i323+3i32003−i32−3+i323−i32−3+i32003−i3−3+i30000000
χ484-4001-2-12-3300−i3i3i3−i3−2i32i3000000000−2+2i32−2i300−1+i321−i31−i32−1+i33−3i32−3+3i32003+i32−3−i32−3−i323+i323+i3−3−i3000000000−2−2i32+2i300−1−i321+i31+i32−1−i33+3i32−3−3i3200−3+i323−i323−i32−3+i32−3+i33−i3000000000
χ494-4001-2-12-3300i3−i3−i3i32i3−2i3000000000−2+2i32−2i300−1+i321−i31−i32−1+i33−3i32−3+3i3200−3−i323+i323+i32−3−i32−3−i33+i3000000000−2−2i32+2i300−1−i321+i31+i32−1−i33+3i32−3−3i32003−i32−3+i32−3+i323−i323−i3−3+i3000000000
χ504-40044-4-40000000000000000000−2+2i32−2i300−2+2i3−2+2i32−2i32−2i30000000000000000000−2−2i32+2i300−2−2i3−2−2i32+2i32+2i30000000000000000000
χ514-400-212-1003-300−2i32i3−i3i3i3−i30000000−2+2i32−2i3001−i3−1+i32−1+i31−i3200−3+3i323−3i32003+i3−3−i33+i32−3−i32−3−i323+i320000000−2−2i32+2i3001+i3−1−i32−1−i31+i3200−3−3i323+3i3200−3+i33−i3−3+i323−i323−i32−3+i320000000
χ524-400-212-1003-3002i3−2i3i3−i3−i3i30000000−2+2i32−2i3001−i3−1+i32−1+i31−i3200−3+3i323−3i3200−3−i33+i3−3−i323+i323+i32−3−i320000000−2−2i32+2i3001+i3−1−i32−1−i31+i3200−3−3i323+3i32003−i3−3+i33−i32−3+i32−3+i323−i320000000
χ534-400-212-100-33−2i32i300i3−i3i3−i30000000−2+2i32−2i3001−i3−1+i32−1+i31−i32003−3i32−3+3i323+i3−3−i300−3−i323+i32−3−i323+i320000000−2−2i32+2i3001+i3−1−i32−1−i31+i32003+3i32−3−3i32−3+i33−i3003−i32−3+i323−i32−3+i320000000
χ544-400-212-100-332i3−2i300−i3i3−i3i30000000−2+2i32−2i3001−i3−1+i32−1+i31−i32003−3i32−3+3i32−3−i33+i3003+i32−3−i323+i32−3−i320000000−2−2i32+2i3001+i3−1−i32−1−i31+i32003+3i32−3−3i323−i3−3+i300−3+i323−i32−3+i323−i320000000
χ55111111111111111111111111111−1−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
χ5611111111111111111111111-1-1-1-1−1−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+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−i32
χ5711111111111111111111-1-1-1ii−i−i−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+i32ζ11ζ11−ζ11−ζ11−1+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−i32ζ7ζ7−ζ7−ζ7
χ5811111111111111111111-1-1-1−i−iii−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+i32−ζ11−ζ11ζ11ζ11−1+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−i32−ζ7−ζ7ζ7ζ7
χ59111-111111111-1-1-1-1-1-1-1-111-11-11-1−1−i32−1−i32−1−i321+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−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−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+i321−i32−1+i321−i32−1+i321−i32
χ60111-111111111-1-1-1-1-1-1-1-111-1-11-11−1−i32−1−i32−1−i321+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−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−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+i321−i321−i32−1+i321−i32−1+i32
χ61111-111111111-1-1-1-1-1-1-1-1-1-11i−i−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ62111-111111111-1-1-1-1-1-1-1-1-1-11−iii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ6322-202222-2-2-2-2000000002-200000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000−1−i31+i300000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000−1+i31−i300000
χ6422-202222-2-2-2-200000000-2200000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000001+i3−1−i300000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000001−i3−1+i300000
χ6544441-21-211-2-21111-2-2-2-20000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i30000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i30000000
χ664444-21-21-2-211-2-2-2-211110000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000000
χ67444-41-21-211-2-2-1-1-1-122220000000−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000000−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000000
χ68444-4-21-21-2-2112222-1-1-1-10000000−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000000
χ6944-401-21-2-1-12233-3-300000000000−2−2i3−2−2i32+2i30−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3−3−3i32−3−3i323+3i323+3i3200000000000−2+2i3−2+2i32−2i30−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3−3+3i32−3+3i323−3i323−3i3200000000000
χ7044-401-21-2-1-122-3-33300000000000−2−2i3−2−2i32+2i30−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i33+3i323+3i32−3−3i32−3−3i3200000000000−2+2i3−2+2i32−2i30−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i33−3i323−3i32−3+3i32−3+3i3200000000000
χ7144-40-21-2122-1-1000033-3-30000000−2−2i3−2−2i32+2i301+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i320000−3−3i32−3−3i323+3i323+3i320000000−2+2i3−2+2i32−2i301−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i320000−3+3i32−3+3i323−3i323−3i320000000
χ7244-40-21-2122-1-10000-3-3330000000−2−2i3−2−2i32+2i301+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i3200003+3i323+3i32−3−3i32−3−3i320000000−2+2i3−2+2i32−2i301−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i3200003−3i323−3i32−3+3i32−3+3i320000000
χ734-4001-2-123-300−i3i3−i3i300−2i32i30000000−2−2i32+2i300−1−i321+i31+i32−1−i3−3−3i323+3i3200−3+i323−i32−3+i323−i3200−3+i33−i30000000−2+2i32−2i300−1+i321−i31−i32−1+i3−3+3i323−3i32003+i32−3−i323+i32−3−i32003+i3−3−i30000000
χ744-4001-2-123-300i3−i3i3−i3002i3−2i30000000−2−2i32+2i300−1−i321+i31+i32−1−i3−3−3i323+3i32003−i32−3+i323−i32−3+i32003−i3−3+i30000000−2+2i32−2i300−1+i321−i31−i32−1+i3−3+3i323−3i3200−3−i323+i32−3−i323+i3200−3−i33+i30000000
χ754-4001-2-12-3300−i3i3i3−i3−2i32i3000000000−2−2i32+2i300−1−i321+i31+i32−1−i33+3i32−3−3i3200−3+i323−i323−i32−3+i32−3+i33−i3000000000−2+2i32−2i300−1+i321−i31−i32−1+i33−3i32−3+3i32003+i32−3−i32−3−i323+i323+i3−3−i3000000000
χ764-4001-2-12-3300i3−i3−i3i32i3−2i3000000000−2−2i32+2i300−1−i321+i31+i32−1−i33+3i32−3−3i32003−i32−3+i32−3+i323−i323−i3−3+i3000000000−2+2i32−2i300−1+i321−i31−i32−1+i33−3i32−3+3i3200−3−i323+i323+i32−3−i32−3−i33+i3000000000
χ774-40044-4-40000000000000000000−2−2i32+2i300−2−2i3−2−2i32+2i32+2i30000000000000000000−2+2i32−2i300−2+2i3−2+2i32−2i32−2i30000000000000000000
χ784-400-212-1003-300−2i32i3−i3i3i3−i30000000−2−2i32+2i3001+i3−1−i32−1−i31+i3200−3−3i323+3i3200−3+i33−i3−3+i323−i323−i32−3+i320000000−2+2i32−2i3001−i3−1+i32−1+i31−i3200−3+3i323−3i32003+i3−3−i33+i32−3−i32−3−i323+i320000000
χ794-400-212-1003-3002i3−2i3i3−i3−i3i30000000−2−2i32+2i3001+i3−1−i32−1−i31+i3200−3−3i323+3i32003−i3−3+i33−i32−3+i32−3+i323−i320000000−2+2i32−2i3001−i3−1+i32−1+i31−i3200−3+3i323−3i3200−3−i33+i3−3−i323+i323+i32−3−i320000000
χ804-400-212-100-33−2i32i300i3−i3i3−i30000000−2−2i32+2i3001+i3−1−i32−1−i31+i32003+3i32−3−3i32−3+i33−i3003−i32−3+i323−i32−3+i320000000−2+2i32−2i3001−i3−1+i32−1+i31−i32003−3i32−3+3i323+i3−3−i300−3−i323+i32−3−i323+i320000000
χ814-400-212-100-332i3−2i300−i3i3−i3i30000000−2−2i32+2i3001+i3−1−i32−1−i31+i32003+3i32−3−3i323−i3−3+i300−3+i323−i32−3+i323−i320000000−2+2i32−2i3001−i3−1+i32−1+i31−i32003−3i32−3+3i32−3−i33+i3003+i32−3−i323+i32−3−i320000000

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