Finite Group Databasebeta

← Group #13146832

Character table — Group #13146832

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size123466681212122432323232323236363636727212346668121212243232323232323636363672721234666812121224323232323232363636367272
order132244662121269991818182244883366121266612126999181818661212242433661212666121269991818186612122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ3111-1111-1-111-1111-1-1-11-11-11-1111-1111-1-111-1111-1-1-11-11-11-1111-1111-1-111-1111-1-1-11-11-11-1
χ4111-1111-1-111-1111-1-1-1-11-11-11111-1111-1-111-1111-1-1-1-11-11-11111-1111-1-111-1111-1-1-1-11-11-11
χ5222222222222-1-1-1-1-1-1000000222222222222-1-1-1-1-1-1000000222222222222-1-1-1-1-1-1000000
χ6222-2222-2-222-2-1-1-1111000000222-2222-2-222-2-1-1-1111000000222-2222-2-222-2-1-1-1111000000
χ72-12222-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000002-12222-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000002-12222-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ82-12222-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000002-12222-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000002-12222-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ92-12222-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000002-12222-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000002-12222-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ102-12-222-11-2-1-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000002-12-222-11-2-1-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000002-12-222-11-2-1-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000
χ112-12-222-11-2-1-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000002-12-222-11-2-1-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000002-12-222-11-2-1-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000
χ122-12-222-11-2-1-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000002-12-222-11-2-1-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000002-12-222-11-2-1-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000
χ133333-1-133-1-1-1-10000001111-1-13333-1-133-1-1-1-10000001111-1-13333-1-133-1-1-1-10000001111-1-1
χ143333-1-133-1-1-1-1000000-1-1-1-1113333-1-133-1-1-1-1000000-1-1-1-1113333-1-133-1-1-1-1000000-1-1-1-111
χ15333-3-1-13-31-1-110000001-11-1-11333-3-1-13-31-1-110000001-11-1-11333-3-1-13-31-1-110000001-11-1-11
χ16333-3-1-13-31-1-11000000-11-111-1333-3-1-13-31-1-11000000-11-111-1333-3-1-13-31-1-11000000-11-111-1
χ1766-202-2-2002-20000000020-20066-202-2-2002-20000000020-20066-202-2-2002-20000000020-200
χ1866-202-2-2002-200000000-2020066-202-2-2002-200000000-2020066-202-2-2002-200000000-20200
χ1966-20-22-200-22000000020-200066-20-22-200-22000000020-200066-20-22-200-22000000020-2000
χ2066-20-22-200-220000000-20200066-20-22-200-220000000-20200066-20-22-200-220000000-202000
χ216-366-2-2-3-3-21110000000000006-366-2-2-3-3-21110000000000006-366-2-2-3-3-2111000000000000
χ226-36-6-2-2-33211-10000000000006-36-6-2-2-33211-10000000000006-36-6-2-2-33211-1000000000000
χ2312-6-404-4200-22000000000000012-6-404-4200-22000000000000012-6-404-4200-220000000000000
χ2412-6-40-442002-2000000000000012-6-40-442002-2000000000000012-6-40-442002-20000000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i32
χ27111-1111-1-111-1111-1-1-11-11-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+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+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ28111-1111-1-111-1111-1-1-1-11-11-11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ29222222222222-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i31+i321+i321+i321+i321+i321+i32000000
χ30222-2222-2-222-2-1-1-1111000000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32000000
χ312-12222-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8000000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2000000
χ322-12222-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4000000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7000000
χ332-12222-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5000000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8000000
χ342-12-222-11-2-1-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000−1+i31−i32−1+i31−i3−1+i3−1+i31−i32−1+i321−i31−i321−i32−1+i32ζ2+ζ4ζ+ζ5ζ7+ζ8−ζ2−ζ4−ζ−ζ5−ζ7−ζ8000000−1−i31+i32−1−i31+i3−1−i3−1−i31+i32−1−i321+i31+i321+i32−1−i32ζ5+ζ7ζ4+ζ8ζ+ζ2−ζ5−ζ7−ζ4−ζ8−ζ−ζ2000000
χ352-12-222-11-2-1-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000−1+i31−i32−1+i31−i3−1+i3−1+i31−i32−1+i321−i31−i321−i32−1+i32ζ+ζ5ζ7+ζ8ζ2+ζ4−ζ−ζ5−ζ7−ζ8−ζ2−ζ4000000−1−i31+i32−1−i31+i3−1−i3−1−i31+i32−1−i321+i31+i321+i32−1−i32ζ4+ζ8ζ+ζ2ζ5+ζ7−ζ4−ζ8−ζ−ζ2−ζ5−ζ7000000
χ362-12-222-11-2-1-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000−1+i31−i32−1+i31−i3−1+i3−1+i31−i32−1+i321−i31−i321−i32−1+i32ζ7+ζ8ζ2+ζ4ζ+ζ5−ζ7−ζ8−ζ2−ζ4−ζ−ζ5000000−1−i31+i32−1−i31+i3−1−i3−1−i31+i32−1−i321+i31+i321+i32−1−i32ζ+ζ2ζ5+ζ7ζ4+ζ8−ζ−ζ2−ζ5−ζ7−ζ4−ζ8000000
χ373333-1-133-1-1-1-10000001111-1-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i32
χ383333-1-133-1-1-1-1000000-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32
χ39333-3-1-13-31-1-110000001-11-1-11−3+3i32−3+3i32−3+3i323−3i321−i321−i32−3+3i323−3i32−1+i321−i321−i32−1+i32000000−1+i321−i32−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i32−3−3i323+3i32−1−i321+i321+i32−1−i32000000−1−i321+i32−1−i321+i321+i32−1−i32
χ40333-3-1-13-31-1-11000000-11-111-1−3+3i32−3+3i32−3+3i323−3i321−i321−i32−3+3i323−3i32−1+i321−i321−i32−1+i320000001−i32−1+i321−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i32−3−3i323+3i32−1−i321+i321+i32−1−i320000001+i32−1−i321+i32−1−i32−1−i321+i32
χ4166-202-2-2002-20000000020-200−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i31−i300000000−1+i301−i300−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i31+i300000000−1−i301+i300
χ4266-202-2-2002-200000000-20200−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i31−i3000000001−i30−1+i300−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i31+i3000000001+i30−1−i300
χ4366-20-22-200-22000000020-2000−3+3i3−3+3i31−i301−i3−1+i31−i3001−i3−1+i30000000−1+i301−i3000−3−3i3−3−3i31+i301+i3−1−i31+i3001+i3−1−i30000000−1−i301+i3000
χ4466-20-22-200-220000000-202000−3+3i3−3+3i31−i301−i3−1+i31−i3001−i3−1+i300000001−i30−1+i3000−3−3i3−3−3i31+i301+i3−1−i31+i3001+i3−1−i300000001+i30−1−i3000
χ456-366-2-2-3-3-2111000000000000−3+3i33−3i32−3+3i3−3+3i31−i31−i33−3i323−3i321−i3−1+i32−1+i32−1+i32000000000000−3−3i33+3i32−3−3i3−3−3i31+i31+i33+3i323+3i321+i3−1−i32−1−i32−1−i32000000000000
χ466-36-6-2-2-33211-1000000000000−3+3i33−3i32−3+3i33−3i31−i31−i33−3i32−3+3i32−1+i3−1+i32−1+i321−i32000000000000−3−3i33+3i32−3−3i33+3i31+i31+i33+3i32−3−3i32−1−i3−1−i32−1−i321+i32000000000000
χ4712-6-404-4200-220000000000000−6+6i33−3i32−2i30−2+2i32−2i3−1+i3001−i3−1+i30000000000000−6−6i33+3i32+2i30−2−2i32+2i3−1−i3001+i3−1−i30000000000000
χ4812-6-40-442002-20000000000000−6+6i33−3i32−2i302−2i3−2+2i3−1+i300−1+i31−i30000000000000−6−6i33+3i32+2i302+2i3−2−2i3−1−i300−1−i31+i30000000000000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i32
χ51111-1111-1-111-1111-1-1-11-11-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−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−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ52111-1111-1-111-1111-1-1-1-11-11-11−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ53222222222222-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i31−i321−i321−i321−i321−i321−i32000000
χ54222-2222-2-222-2-1-1-1111000000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32000000
χ552-12222-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2000000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8000000
χ562-12222-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7000000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4000000
χ572-12222-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8000000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5000000
χ582-12-222-11-2-1-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000−1−i31+i32−1−i31+i3−1−i3−1−i31+i32−1−i321+i31+i321+i32−1−i32ζ5+ζ7ζ4+ζ8ζ+ζ2−ζ5−ζ7−ζ4−ζ8−ζ−ζ2000000−1+i31−i32−1+i31−i3−1+i3−1+i31−i32−1+i321−i31−i321−i32−1+i32ζ2+ζ4ζ+ζ5ζ7+ζ8−ζ2−ζ4−ζ−ζ5−ζ7−ζ8000000
χ592-12-222-11-2-1-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000−1−i31+i32−1−i31+i3−1−i3−1−i31+i32−1−i321+i31+i321+i32−1−i32ζ4+ζ8ζ+ζ2ζ5+ζ7−ζ4−ζ8−ζ−ζ2−ζ5−ζ7000000−1+i31−i32−1+i31−i3−1+i3−1+i31−i32−1+i321−i31−i321−i32−1+i32ζ+ζ5ζ7+ζ8ζ2+ζ4−ζ−ζ5−ζ7−ζ8−ζ2−ζ4000000
χ602-12-222-11-2-1-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000−1−i31+i32−1−i31+i3−1−i3−1−i31+i32−1−i321+i31+i321+i32−1−i32ζ+ζ2ζ5+ζ7ζ4+ζ8−ζ−ζ2−ζ5−ζ7−ζ4−ζ8000000−1+i31−i32−1+i31−i3−1+i3−1+i31−i32−1+i321−i31−i321−i32−1+i32ζ7+ζ8ζ2+ζ4ζ+ζ5−ζ7−ζ8−ζ2−ζ4−ζ−ζ5000000
χ613333-1-133-1-1-1-10000001111-1-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i32
χ623333-1-133-1-1-1-1000000-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32
χ63333-3-1-13-31-1-110000001-11-1-11−3−3i32−3−3i32−3−3i323+3i321+i321+i32−3−3i323+3i32−1−i321+i321+i32−1−i32000000−1−i321+i32−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i32−3+3i323−3i32−1+i321−i321−i32−1+i32000000−1+i321−i32−1+i321−i321−i32−1+i32
χ64333-3-1-13-31-1-11000000-11-111-1−3−3i32−3−3i32−3−3i323+3i321+i321+i32−3−3i323+3i32−1−i321+i321+i32−1−i320000001+i32−1−i321+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i32−3+3i323−3i32−1+i321−i321−i32−1+i320000001−i32−1+i321−i32−1+i32−1+i321−i32
χ6566-202-2-2002-20000000020-200−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i31+i300000000−1−i301+i300−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i31−i300000000−1+i301−i300
χ6666-202-2-2002-200000000-20200−3−3i3−3−3i31+i30−1−i31+i31+i300−1−i31+i3000000001+i30−1−i300−3+3i3−3+3i31−i30−1+i31−i31−i300−1+i31−i3000000001−i30−1+i300
χ6766-20-22-200-22000000020-2000−3−3i3−3−3i31+i301+i3−1−i31+i3001+i3−1−i30000000−1−i301+i3000−3+3i3−3+3i31−i301−i3−1+i31−i3001−i3−1+i30000000−1+i301−i3000
χ6866-20-22-200-220000000-202000−3−3i3−3−3i31+i301+i3−1−i31+i3001+i3−1−i300000001+i30−1−i3000−3+3i3−3+3i31−i301−i3−1+i31−i3001−i3−1+i300000001−i30−1+i3000
χ696-366-2-2-3-3-2111000000000000−3−3i33+3i32−3−3i3−3−3i31+i31+i33+3i323+3i321+i3−1−i32−1−i32−1−i32000000000000−3+3i33−3i32−3+3i3−3+3i31−i31−i33−3i323−3i321−i3−1+i32−1+i32−1+i32000000000000
χ706-36-6-2-2-33211-1000000000000−3−3i33+3i32−3−3i33+3i31+i31+i33+3i32−3−3i32−1−i3−1−i32−1−i321+i32000000000000−3+3i33−3i32−3+3i33−3i31−i31−i33−3i32−3+3i32−1+i3−1+i32−1+i321−i32000000000000
χ7112-6-404-4200-220000000000000−6−6i33+3i32+2i30−2−2i32+2i3−1−i3001+i3−1−i30000000000000−6+6i33−3i32−2i30−2+2i32−2i3−1+i3001−i3−1+i30000000000000
χ7212-6-40-442002-20000000000000−6−6i33+3i32+2i302+2i3−2−2i3−1−i300−1−i31+i30000000000000−6+6i33−3i32−2i302−2i3−2+2i3−1+i300−1+i31−i30000000000000

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