Finite Group Databasebeta

← Group #11724457

Character table — Group #11724457

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222266888888888888121236363636112222266888888888888121236363636112222266888888888888121236363636
order1223666443336666666661212248836636661212333666666666121261224243663666121233366666666612126122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1
χ311-11-1-11-11111111-1-1-1-1-1-11-11-11-111-11-1-11-11111111-1-1-1-1-1-11-11-11-111-11-1-11-11111111-1-1-1-1-1-11-11-11-1
χ411-11-1-11-11111111-1-1-1-1-1-11-1-11-1111-11-1-11-11111111-1-1-1-1-1-11-1-11-1111-11-1-11-11111111-1-1-1-1-1-11-1-11-11
χ5222222222-1-1-1-1-1-1-1-1-1-1-1-1220000222222222-1-1-1-1-1-1-1-1-1-1-1-1220000222222222-1-1-1-1-1-1-1-1-1-1-1-1220000
χ6222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000
χ7222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000
χ8222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000
χ922-22-2-22-22-1-1-1-1-1-11111112-2000022-22-2-22-22-1-1-1-1-1-11111112-2000022-22-2-22-22-1-1-1-1-1-11111112-20000
χ1022-2-111-1-222-1-12-1-1-2-21111-11000022-2-111-1-222-1-12-1-1-2-21111-11000022-2-111-1-222-1-12-1-1-2-21111-110000
χ1122-2-111-1-22-12-1-12-111-2-211-11000022-2-111-1-22-12-1-12-111-2-211-11000022-2-111-1-22-12-1-12-111-2-211-110000
χ1222-2-111-1-22-1-12-1-121111-2-2-11000022-2-111-1-22-1-12-1-121111-2-2-11000022-2-111-1-22-1-12-1-121111-2-2-110000
χ133333333-1-1000000000000-1-111-1-13333333-1-1000000000000-1-111-1-13333333-1-1000000000000-1-111-1-1
χ143333333-1-1000000000000-1-1-1-1113333333-1-1000000000000-1-1-1-1113333333-1-1000000000000-1-1-1-111
χ1533-33-3-331-1000000000000-111-1-1133-33-3-331-1000000000000-111-1-1133-33-3-331-1000000000000-111-1-11
χ1633-33-3-331-1000000000000-11-111-133-33-3-331-1000000000000-11-111-133-33-3-331-1000000000000-11-111-1
χ174-40400-400111-1-1-1i3−i3i3−i3i3−i30000004-40400-400111-1-1-1i3−i3i3−i3i3−i30000004-40400-400111-1-1-1i3−i3i3−i3i3−i3000000
χ184-40400-400111-1-1-1−i3i3−i3i3−i3i30000004-40400-400111-1-1-1−i3i3−i3i3−i3i30000004-40400-400111-1-1-1−i3i3−i3i3−i3i3000000
χ194-40400-400-2-2-22220000000000004-40400-400-2-2-22220000000000004-40400-400-2-2-2222000000000000
χ204-40-22i3−2i320011-2-1-12i3−i3−i3i3000000004-40-22i3−2i320011-2-1-12i3−i3−i3i3000000004-40-22i3−2i320011-2-1-12i3−i3−i3i300000000
χ214-40-22i3−2i32001-21-12-1−i3i300i3−i30000004-40-22i3−2i32001-21-12-1−i3i300i3−i30000004-40-22i3−2i32001-21-12-1−i3i300i3−i3000000
χ224-40-22i3−2i3200-2112-1-100i3−i3−i3i30000004-40-22i3−2i3200-2112-1-100i3−i3−i3i30000004-40-22i3−2i3200-2112-1-100i3−i3−i3i3000000
χ234-40-2−2i32i320011-2-1-12−i3i3i3−i3000000004-40-2−2i32i320011-2-1-12−i3i3i3−i3000000004-40-2−2i32i320011-2-1-12−i3i3i3−i300000000
χ244-40-2−2i32i32001-21-12-1i3−i300−i3i30000004-40-2−2i32i32001-21-12-1i3−i300−i3i30000004-40-2−2i32i32001-21-12-1i3−i300−i3i3000000
χ254-40-2−2i32i3200-2112-1-100−i3i3i3−i30000004-40-2−2i32i3200-2112-1-100−i3i3i3−i30000004-40-2−2i32i3200-2112-1-100−i3i3i3−i3000000
χ26666-3-3-3-3-2-2000000000000110000666-3-3-3-3-2-2000000000000110000666-3-3-3-3-2-2000000000000110000
χ2766-6-333-32-20000000000001-1000066-6-333-32-20000000000001-1000066-6-333-32-20000000000001-10000
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
χ3011-11-1-11-11111111-1-1-1-1-1-11-11-11-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3111-11-1-11-11111111-1-1-1-1-1-11-1-11-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ32222222222-1-1-1-1-1-1-1-1-1-1-1-1220000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i30000
χ33222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ34222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000
χ35222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i320000
χ3622-22-2-22-22-1-1-1-1-1-11111112-20000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i30000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i30000
χ3722-2-111-1-222-1-12-1-1-2-21111-110000−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i32−1+i320000−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i32−1−i320000
χ3822-2-111-1-22-12-1-12-111-2-211-110000−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i32−1+i320000−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i32−1−i320000
χ3922-2-111-1-22-1-12-1-121111-2-2-110000−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i32−1+i320000−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i32−1−i320000
χ403333333-1-1000000000000-1-111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i32−1−i32−1−i321+i321+i32
χ413333333-1-1000000000000-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i321+i321+i32−1−i32−1−i32
χ4233-33-3-331-1000000000000-111-1-11−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i32−1+i321−i320000000000001−i32−1+i32−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i32−1−i321+i320000000000001+i32−1−i32−1−i321+i321+i32−1−i32
χ4333-33-3-331-1000000000000-11-111-1−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i32−1+i321−i320000000000001−i32−1+i321−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i32−1−i321+i320000000000001+i32−1−i321+i32−1−i32−1−i321+i32
χ444-40400-400111-1-1-1i3−i3i3−i3i3−i3000000−2+2i32−2i30−2+2i3002−2i300−1+i32−1+i32−1+i321−i321−i321−i32−3−i323+i32−3−i323+i32−3−i323+i32000000−2−2i32+2i30−2−2i3002+2i300−1−i32−1−i32−1−i321+i321+i321+i323−i32−3+i323−i32−3+i323−i32−3+i32000000
χ454-40400-400111-1-1-1−i3i3−i3i3−i3i3000000−2+2i32−2i30−2+2i3002−2i300−1+i32−1+i32−1+i321−i321−i321−i323+i32−3−i323+i32−3−i323+i32−3−i32000000−2−2i32+2i30−2−2i3002+2i300−1−i32−1−i32−1−i321+i321+i321+i32−3+i323−i32−3+i323−i32−3+i323−i32000000
χ464-40400-400-2-2-2222000000000000−2+2i32−2i30−2+2i3002−2i3001−i31−i31−i3−1+i3−1+i3−1+i3000000000000−2−2i32+2i30−2−2i3002+2i3001+i31+i31+i3−1−i3−1−i3−1−i3000000000000
χ474-40-22i3−2i320011-2-1-12i3−i3−i3i300000000−2+2i32−2i301−i3−3−i33+i3−1+i300−1+i32−1+i321−i31−i321−i32−1+i3−3−i323+i323+i32−3−i3200000000−2−2i32+2i301+i33−i3−3+i3−1−i300−1−i32−1−i321+i31+i321+i32−1−i33−i32−3+i32−3+i323−i3200000000
χ484-40-22i3−2i32001-21-12-1−i3i300i3−i3000000−2+2i32−2i301−i3−3−i33+i3−1+i300−1+i321−i3−1+i321−i32−1+i31−i323+i32−3−i3200−3−i323+i32000000−2−2i32+2i301+i33−i3−3+i3−1−i300−1−i321+i3−1−i321+i32−1−i31+i32−3+i323−i32003−i32−3+i32000000
χ494-40-22i3−2i3200-2112-1-100i3−i3−i3i3000000−2+2i32−2i301−i3−3−i33+i3−1+i3001−i3−1+i32−1+i32−1+i31−i321−i3200−3−i323+i323+i32−3−i32000000−2−2i32+2i301+i33−i3−3+i3−1−i3001+i3−1−i32−1−i32−1−i31+i321+i32003−i32−3+i32−3+i323−i32000000
χ504-40-2−2i32i320011-2-1-12−i3i3i3−i300000000−2+2i32−2i301−i33+i3−3−i3−1+i300−1+i32−1+i321−i31−i321−i32−1+i33+i32−3−i32−3−i323+i3200000000−2−2i32+2i301+i3−3+i33−i3−1−i300−1−i32−1−i321+i31+i321+i32−1−i3−3+i323−i323−i32−3+i3200000000
χ514-40-2−2i32i32001-21-12-1i3−i300−i3i3000000−2+2i32−2i301−i33+i3−3−i3−1+i300−1+i321−i3−1+i321−i32−1+i31−i32−3−i323+i32003+i32−3−i32000000−2−2i32+2i301+i3−3+i33−i3−1−i300−1−i321+i3−1−i321+i32−1−i31+i323−i32−3+i3200−3+i323−i32000000
χ524-40-2−2i32i3200-2112-1-100−i3i3i3−i3000000−2+2i32−2i301−i33+i3−3−i3−1+i3001−i3−1+i32−1+i32−1+i31−i321−i32003+i32−3−i32−3−i323+i32000000−2−2i32+2i301+i3−3+i33−i3−1−i3001+i3−1−i32−1−i32−1−i31+i321+i3200−3+i323−i323−i32−3+i32000000
χ53666-3-3-3-3-2-2000000000000110000−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i321−i31−i3000000000000−1+i32−1+i320000−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i321+i31+i3000000000000−1−i32−1−i320000
χ5466-6-333-32-20000000000001-10000−3+3i3−3+3i33−3i33−3i32−3+3i32−3+3i323−3i32−1+i31−i3000000000000−1+i321−i320000−3−3i3−3−3i33+3i33+3i32−3−3i32−3−3i323+3i32−1−i31+i3000000000000−1−i321+i320000
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
χ5711-11-1-11-11111111-1-1-1-1-1-11-11-11-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ5811-11-1-11-11111111-1-1-1-1-1-11-1-11-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ59222222222-1-1-1-1-1-1-1-1-1-1-1-1220000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i30000
χ60222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000
χ61222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000
χ62222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i320000
χ6322-22-2-22-22-1-1-1-1-1-11111112-20000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i30000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i30000
χ6422-2-111-1-222-1-12-1-1-2-21111-110000−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i32−1−i320000−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i32−1+i320000
χ6522-2-111-1-22-12-1-12-111-2-211-110000−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i32−1−i320000−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i32−1+i320000
χ6622-2-111-1-22-1-12-1-121111-2-2-110000−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i32−1−i320000−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i32−1+i320000
χ673333333-1-1000000000000-1-111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i32−1+i32−1+i321−i321−i32
χ683333333-1-1000000000000-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i321−i321−i32−1+i32−1+i32
χ6933-33-3-331-1000000000000-111-1-11−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i32−1−i321+i320000000000001+i32−1−i32−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i32−1+i321−i320000000000001−i32−1+i32−1+i321−i321−i32−1+i32
χ7033-33-3-331-1000000000000-11-111-1−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i32−1−i321+i320000000000001+i32−1−i321+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i32−1+i321−i320000000000001−i32−1+i321−i32−1+i32−1+i321−i32
χ714-40400-400111-1-1-1i3−i3i3−i3i3−i3000000−2−2i32+2i30−2−2i3002+2i300−1−i32−1−i32−1−i321+i321+i321+i323−i32−3+i323−i32−3+i323−i32−3+i32000000−2+2i32−2i30−2+2i3002−2i300−1+i32−1+i32−1+i321−i321−i321−i32−3−i323+i32−3−i323+i32−3−i323+i32000000
χ724-40400-400111-1-1-1−i3i3−i3i3−i3i3000000−2−2i32+2i30−2−2i3002+2i300−1−i32−1−i32−1−i321+i321+i321+i32−3+i323−i32−3+i323−i32−3+i323−i32000000−2+2i32−2i30−2+2i3002−2i300−1+i32−1+i32−1+i321−i321−i321−i323+i32−3−i323+i32−3−i323+i32−3−i32000000
χ734-40400-400-2-2-2222000000000000−2−2i32+2i30−2−2i3002+2i3001+i31+i31+i3−1−i3−1−i3−1−i3000000000000−2+2i32−2i30−2+2i3002−2i3001−i31−i31−i3−1+i3−1+i3−1+i3000000000000
χ744-40-22i3−2i320011-2-1-12i3−i3−i3i300000000−2−2i32+2i301+i33−i3−3+i3−1−i300−1−i32−1−i321+i31+i321+i32−1−i33−i32−3+i32−3+i323−i3200000000−2+2i32−2i301−i3−3−i33+i3−1+i300−1+i32−1+i321−i31−i321−i32−1+i3−3−i323+i323+i32−3−i3200000000
χ754-40-22i3−2i32001-21-12-1−i3i300i3−i3000000−2−2i32+2i301+i33−i3−3+i3−1−i300−1−i321+i3−1−i321+i32−1−i31+i32−3+i323−i32003−i32−3+i32000000−2+2i32−2i301−i3−3−i33+i3−1+i300−1+i321−i3−1+i321−i32−1+i31−i323+i32−3−i3200−3−i323+i32000000
χ764-40-22i3−2i3200-2112-1-100i3−i3−i3i3000000−2−2i32+2i301+i33−i3−3+i3−1−i3001+i3−1−i32−1−i32−1−i31+i321+i32003−i32−3+i32−3+i323−i32000000−2+2i32−2i301−i3−3−i33+i3−1+i3001−i3−1+i32−1+i32−1+i31−i321−i3200−3−i323+i323+i32−3−i32000000
χ774-40-2−2i32i320011-2-1-12−i3i3i3−i300000000−2−2i32+2i301+i3−3+i33−i3−1−i300−1−i32−1−i321+i31+i321+i32−1−i3−3+i323−i323−i32−3+i3200000000−2+2i32−2i301−i33+i3−3−i3−1+i300−1+i32−1+i321−i31−i321−i32−1+i33+i32−3−i32−3−i323+i3200000000
χ784-40-2−2i32i32001-21-12-1i3−i300−i3i3000000−2−2i32+2i301+i3−3+i33−i3−1−i300−1−i321+i3−1−i321+i32−1−i31+i323−i32−3+i3200−3+i323−i32000000−2+2i32−2i301−i33+i3−3−i3−1+i300−1+i321−i3−1+i321−i32−1+i31−i32−3−i323+i32003+i32−3−i32000000
χ794-40-2−2i32i3200-2112-1-100−i3i3i3−i3000000−2−2i32+2i301+i3−3+i33−i3−1−i3001+i3−1−i32−1−i32−1−i31+i321+i3200−3+i323−i323−i32−3+i32000000−2+2i32−2i301−i33+i3−3−i3−1+i3001−i3−1+i32−1+i32−1+i31−i321−i32003+i32−3−i32−3−i323+i32000000
χ80666-3-3-3-3-2-2000000000000110000−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i321+i31+i3000000000000−1−i32−1−i320000−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i321−i31−i3000000000000−1+i32−1+i320000
χ8166-6-333-32-20000000000001-10000−3−3i3−3−3i33+3i33+3i32−3−3i32−3−3i323+3i32−1−i31+i3000000000000−1−i321+i320000−3+3i3−3+3i33−3i33−3i32−3+3i32−3+3i323−3i32−1+i31−i3000000000000−1+i321−i320000

Here i is the imaginary unit (i² = −1).