Finite Group Databasebeta

← Group #13181422

Character table — Group #13181422

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112233666612121212123232323232323636363672721122336666121212121232323232323236363636727211223366661212121212323232323232363636367272
order1236224466412121212333666888824363666121266121212121233366624242424612363666121266121212121233366624242424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ3222222222222222-1-1-1-1-1-1000000222222222222222-1-1-1-1-1-1000000222222222222222-1-1-1-1-1-1000000
χ422-1-12222-1-12-1-1-1-12-1-12-1-100000022-1-12222-1-12-1-1-1-12-1-12-1-100000022-1-12222-1-12-1-1-1-12-1-12-1-1000000
χ522-1-12222-1-12-1-1-1-1-12-1-12-100000022-1-12222-1-12-1-1-1-1-12-1-12-100000022-1-12222-1-12-1-1-1-1-12-1-12-1000000
χ622-1-12222-1-12-1-1-1-1-1-12-1-1200000022-1-12222-1-12-1-1-1-1-1-12-1-1200000022-1-12222-1-12-1-1-1-1-1-12-1-12000000
χ72-22-2-22002-200000-1-1-1111−i2−i2i2i2002-22-2-22002-200000-1-1-1111−i2−i2i2i2002-22-2-22002-200000-1-1-1111−i2−i2i2i200
χ82-22-2-22002-200000-1-1-1111i2i2−i2−i2002-22-2-22002-200000-1-1-1111i2i2−i2−i2002-22-2-22002-200000-1-1-1111i2i2−i2−i200
χ9333333-1-133-1-1-1-1-10000001111-1-1333333-1-133-1-1-1-1-10000001111-1-1333333-1-133-1-1-1-1-10000001111-1-1
χ10333333-1-133-1-1-1-1-1000000-1-1-1-111333333-1-133-1-1-1-1-1000000-1-1-1-111333333-1-133-1-1-1-1-1000000-1-1-1-111
χ113333-1-13-1-1-1-13-1-1-10000001-11-11-13333-1-13-1-1-1-13-1-1-10000001-11-11-13333-1-13-1-1-1-13-1-1-10000001-11-11-1
χ123333-1-13-1-1-1-13-1-1-1000000-11-11-113333-1-13-1-1-1-13-1-1-1000000-11-11-113333-1-13-1-1-1-13-1-1-1000000-11-11-11
χ133333-1-1-13-1-1-1-13-1-10000001-11-1-113333-1-1-13-1-1-1-13-1-10000001-11-1-113333-1-1-13-1-1-1-13-1-10000001-11-1-11
χ143333-1-1-13-1-1-1-13-1-1000000-11-111-13333-1-1-13-1-1-1-13-1-1000000-11-111-13333-1-1-13-1-1-1-13-1-1000000-11-111-1
χ154-44-4-44004-400000111-1-1-10000004-44-4-44004-400000111-1-1-10000004-44-4-44004-400000111-1-1-1000000
χ164-4-22-4400-220000011-2-1-120000004-4-22-4400-220000011-2-1-120000004-4-22-4400-220000011-2-1-12000000
χ174-4-22-4400-22000001-21-12-10000004-4-22-4400-22000001-21-12-10000004-4-22-4400-22000001-21-12-1000000
χ184-4-22-4400-2200000-2112-1-10000004-4-22-4400-2200000-2112-1-10000004-4-22-4400-2200000-2112-1-1000000
χ196666-2-2-2-2-2-22-2-2220000000000006666-2-2-2-2-2-22-2-2220000000000006666-2-2-2-2-2-22-2-222000000000000
χ2066-3-366-2-2-3-3-2111100000000000066-3-366-2-2-3-3-2111100000000000066-3-366-2-2-3-3-21111000000000000
χ2166-3-3-2-26-211-2-311100000000000066-3-3-2-26-211-2-311100000000000066-3-3-2-26-211-2-3111000000000000
χ2266-3-3-2-2-2611-21-31100000000000066-3-3-2-2-2611-21-31100000000000066-3-3-2-2-2611-21-311000000000000
χ2366-3-3-2-2-2-211211−1−2i3−1+2i300000000000066-3-3-2-2-2-211211−1−2i3−1+2i300000000000066-3-3-2-2-2-211211−1−2i3−1+2i3000000000000
χ2466-3-3-2-2-2-211211−1+2i3−1−2i300000000000066-3-3-2-2-2-211211−1+2i3−1−2i300000000000066-3-3-2-2-2-211211−1+2i3−1−2i3000000000000
χ256-66-62-200-2200000000000−i2i2i2−i2006-66-62-200-2200000000000−i2i2i2−i2006-66-62-200-2200000000000−i2i2i2−i200
χ266-66-62-200-2200000000000i2−i2−i2i2006-66-62-200-2200000000000i2−i2−i2i2006-66-62-200-2200000000000i2−i2−i2i200
χ2712-12-664-4002-20000000000000000012-12-664-4002-20000000000000000012-12-664-4002-200000000000000000
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
χ29111111111111111111111-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i32
χ30222222222222222-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ3122-1-12222-1-12-1-1-1-12-1-12-1-1000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000
χ3222-1-12222-1-12-1-1-1-1-12-1-12-1000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32000000
χ3322-1-12222-1-12-1-1-1-1-1-12-1-12000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3000000
χ342-22-2-22002-200000-1-1-1111−i2−i2i2i200−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i3000001−i321−i321−i32−1+i32−1+i32−1+i32ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i3000001+i321+i321+i32−1−i32−1−i32−1−i32ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300
χ352-22-2-22002-200000-1-1-1111i2i2−i2−i200−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i3000001−i321−i321−i32−1+i32−1+i32−1+i32−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i3000001+i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300
χ36333333-1-133-1-1-1-1-10000001111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i32
χ37333333-1-133-1-1-1-1-1000000-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32
χ383333-1-13-1-1-1-13-1-1-10000001-11-11-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32000000−1+i321−i32−1+i321−i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32000000−1−i321+i32−1−i321+i32−1−i321+i32
χ393333-1-13-1-1-1-13-1-1-1000000-11-11-11−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i320000001−i32−1+i321−i32−1+i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i320000001+i32−1−i321+i32−1−i321+i32−1−i32
χ403333-1-1-13-1-1-1-13-1-10000001-11-1-11−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000−1+i321−i32−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32000000−1−i321+i32−1−i321+i321+i32−1−i32
χ413333-1-1-13-1-1-1-13-1-1000000-11-111-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i320000001−i32−1+i321−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i320000001+i32−1−i321+i32−1−i32−1−i321+i32
χ424-44-4-44004-400000111-1-1-1000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300−2+2i32−2i300000−1+i32−1+i32−1+i321−i321−i321−i32000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300−2−2i32+2i300000−1−i32−1−i32−1−i321+i321+i321+i32000000
χ434-4-22-4400-220000011-2-1-12000000−2+2i32−2i31−i3−1+i32−2i3−2+2i3001−i3−1+i300000−1+i32−1+i321−i31−i321−i32−1+i3000000−2−2i32+2i31+i3−1−i32+2i3−2−2i3001+i3−1−i300000−1−i32−1−i321+i31+i321+i32−1−i3000000
χ444-4-22-4400-22000001-21-12-1000000−2+2i32−2i31−i3−1+i32−2i3−2+2i3001−i3−1+i300000−1+i321−i3−1+i321−i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32+2i3−2−2i3001+i3−1−i300000−1−i321+i3−1−i321+i32−1−i31+i32000000
χ454-4-22-4400-2200000-2112-1-1000000−2+2i32−2i31−i3−1+i32−2i3−2+2i3001−i3−1+i3000001−i3−1+i32−1+i32−1+i31−i321−i32000000−2−2i32+2i31+i3−1−i32+2i3−2−2i3001+i3−1−i3000001+i3−1−i32−1−i32−1−i31+i321+i32000000
χ466666-2-2-2-2-2-22-2-222000000000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000
χ4766-3-366-2-2-3-3-21111000000000000−3+3i3−3+3i33−3i323−3i32−3+3i3−3+3i31−i31−i33−3i323−3i321−i3−1+i32−1+i32−1+i32−1+i32000000000000−3−3i3−3−3i33+3i323+3i32−3−3i3−3−3i31+i31+i33+3i323+3i321+i3−1−i32−1−i32−1−i32−1−i32000000000000
χ4866-3-3-2-26-211-2-3111000000000000−3+3i3−3+3i33−3i323−3i321−i31−i3−3+3i31−i3−1+i32−1+i321−i33−3i32−1+i32−1+i32−1+i32000000000000−3−3i3−3−3i33+3i323+3i321+i31+i3−3−3i31+i3−1−i32−1−i321+i33+3i32−1−i32−1−i32−1−i32000000000000
χ4966-3-3-2-2-2611-21-311000000000000−3+3i3−3+3i33−3i323−3i321−i31−i31−i3−3+3i3−1+i32−1+i321−i3−1+i323−3i32−1+i32−1+i32000000000000−3−3i3−3−3i33+3i323+3i321+i31+i31+i3−3−3i3−1−i32−1−i321+i3−1−i323+3i32−1−i32−1−i32000000000000
χ5066-3-3-2-2-2-211211−1−2i3−1+2i3000000000000−3+3i3−3+3i33−3i323−3i321−i31−i31−i31−i3−1+i32−1+i32−1+i3−1+i32−1+i327+i32−5−3i32000000000000−3−3i3−3−3i33+3i323+3i321+i31+i31+i31+i3−1−i32−1−i32−1−i3−1−i32−1−i32−5+3i327−i32000000000000
χ5166-3-3-2-2-2-211211−1+2i3−1−2i3000000000000−3+3i3−3+3i33−3i323−3i321−i31−i31−i31−i3−1+i32−1+i32−1+i3−1+i32−1+i32−5−3i327+i32000000000000−3−3i3−3−3i33+3i323+3i321+i31+i31+i31+i3−1−i32−1−i32−1−i3−1−i32−1−i327−i32−5+3i32000000000000
χ526-66-62-200-2200000000000−i2i2i2−i200−3+3i33−3i3−3+3i33−3i3−1+i31−i3001−i3−1+i300000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300−3−3i33+3i3−3−3i33+3i3−1−i31+i3001+i3−1−i300000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300
χ536-66-62-200-2200000000000i2−i2−i2i200−3+3i33−3i3−3+3i33−3i3−1+i31−i3001−i3−1+i300000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300−3−3i33+3i3−3−3i33+3i3−1−i31+i3001+i3−1−i300000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300
χ5412-12-664-4002-200000000000000000−6+6i36−6i33−3i3−3+3i3−2+2i32−2i300−1+i31−i300000000000000000−6−6i36+6i33+3i3−3−3i3−2−2i32+2i300−1−i31+i300000000000000000
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
χ56111111111111111111111-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i32
χ57222222222222222-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ5822-1-12222-1-12-1-1-1-12-1-12-1-1000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000
χ5922-1-12222-1-12-1-1-1-1-12-1-12-1000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32000000
χ6022-1-12222-1-12-1-1-1-1-1-12-1-12000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3000000
χ612-22-2-22002-200000-1-1-1111−i2−i2i2i200−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i3000001+i321+i321+i32−1−i32−1−i32−1−i32ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i3000001−i321−i321−i32−1+i32−1+i32−1+i32ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300
χ622-22-2-22002-200000-1-1-1111i2i2−i2−i200−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i3000001+i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i3000001−i321−i321−i32−1+i32−1+i32−1+i32−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300
χ63333333-1-133-1-1-1-1-10000001111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i32
χ64333333-1-133-1-1-1-1-1000000-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32
χ653333-1-13-1-1-1-13-1-1-10000001-11-11-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32000000−1−i321+i32−1−i321+i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32000000−1+i321−i32−1+i321−i32−1+i321−i32
χ663333-1-13-1-1-1-13-1-1-1000000-11-11-11−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i320000001+i32−1−i321+i32−1−i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i320000001−i32−1+i321−i32−1+i321−i32−1+i32
χ673333-1-1-13-1-1-1-13-1-10000001-11-1-11−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32000000−1−i321+i32−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000−1+i321−i32−1+i321−i321−i32−1+i32
χ683333-1-1-13-1-1-1-13-1-1000000-11-111-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i320000001+i32−1−i321+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i320000001−i32−1+i321−i32−1+i32−1+i321−i32
χ694-44-4-44004-400000111-1-1-1000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300−2−2i32+2i300000−1−i32−1−i32−1−i321+i321+i321+i32000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300−2+2i32−2i300000−1+i32−1+i32−1+i321−i321−i321−i32000000
χ704-4-22-4400-220000011-2-1-12000000−2−2i32+2i31+i3−1−i32+2i3−2−2i3001+i3−1−i300000−1−i32−1−i321+i31+i321+i32−1−i3000000−2+2i32−2i31−i3−1+i32−2i3−2+2i3001−i3−1+i300000−1+i32−1+i321−i31−i321−i32−1+i3000000
χ714-4-22-4400-22000001-21-12-1000000−2−2i32+2i31+i3−1−i32+2i3−2−2i3001+i3−1−i300000−1−i321+i3−1−i321+i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−2i3−2+2i3001−i3−1+i300000−1+i321−i3−1+i321−i32−1+i31−i32000000
χ724-4-22-4400-2200000-2112-1-1000000−2−2i32+2i31+i3−1−i32+2i3−2−2i3001+i3−1−i3000001+i3−1−i32−1−i32−1−i31+i321+i32000000−2+2i32−2i31−i3−1+i32−2i3−2+2i3001−i3−1+i3000001−i3−1+i32−1+i32−1+i31−i321−i32000000
χ736666-2-2-2-2-2-22-2-222000000000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000
χ7466-3-366-2-2-3-3-21111000000000000−3−3i3−3−3i33+3i323+3i32−3−3i3−3−3i31+i31+i33+3i323+3i321+i3−1−i32−1−i32−1−i32−1−i32000000000000−3+3i3−3+3i33−3i323−3i32−3+3i3−3+3i31−i31−i33−3i323−3i321−i3−1+i32−1+i32−1+i32−1+i32000000000000
χ7566-3-3-2-26-211-2-3111000000000000−3−3i3−3−3i33+3i323+3i321+i31+i3−3−3i31+i3−1−i32−1−i321+i33+3i32−1−i32−1−i32−1−i32000000000000−3+3i3−3+3i33−3i323−3i321−i31−i3−3+3i31−i3−1+i32−1+i321−i33−3i32−1+i32−1+i32−1+i32000000000000
χ7666-3-3-2-2-2611-21-311000000000000−3−3i3−3−3i33+3i323+3i321+i31+i31+i3−3−3i3−1−i32−1−i321+i3−1−i323+3i32−1−i32−1−i32000000000000−3+3i3−3+3i33−3i323−3i321−i31−i31−i3−3+3i3−1+i32−1+i321−i3−1+i323−3i32−1+i32−1+i32000000000000
χ7766-3-3-2-2-2-211211−1−2i3−1+2i3000000000000−3−3i3−3−3i33+3i323+3i321+i31+i31+i31+i3−1−i32−1−i32−1−i3−1−i32−1−i32−5+3i327−i32000000000000−3+3i3−3+3i33−3i323−3i321−i31−i31−i31−i3−1+i32−1+i32−1+i3−1+i32−1+i327+i32−5−3i32000000000000
χ7866-3-3-2-2-2-211211−1+2i3−1−2i3000000000000−3−3i3−3−3i33+3i323+3i321+i31+i31+i31+i3−1−i32−1−i32−1−i3−1−i32−1−i327−i32−5+3i32000000000000−3+3i3−3+3i33−3i323−3i321−i31−i31−i31−i3−1+i32−1+i32−1+i3−1+i32−1+i32−5−3i327+i32000000000000
χ796-66-62-200-2200000000000−i2i2i2−i200−3−3i33+3i3−3−3i33+3i3−1−i31+i3001+i3−1−i300000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−3+3i33−3i3−3+3i33−3i3−1+i31−i3001−i3−1+i300000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300
χ806-66-62-200-2200000000000i2−i2−i2i200−3−3i33+3i3−3−3i33+3i3−1−i31+i3001+i3−1−i300000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300−3+3i33−3i3−3+3i33−3i3−1+i31−i3001−i3−1+i300000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300
χ8112-12-664-4002-200000000000000000−6−6i36+6i33+3i3−3−3i3−2−2i32+2i300−1−i31+i300000000000000000−6+6i36−6i33−3i3−3+3i3−2+2i32−2i300−1+i31−i300000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.