Finite Group Databasebeta

← Group #13166821

Character table — Group #13166821

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112444444444888812121212121218182424242424242424243672721124444444448888121212121212181824242424242424242436727211244444444488881212121212121818242424242424242424367272
order1223346666121261212122244444446612121212121248836633126666121261212126612121212121212661212121212121224243663312666612126121212661212121212121266121212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-111-1-111-1-11-1-111111111111111111111-1-111-111-1-111-1-11-1-111111111111111111111-1-111-111-1-111-1-11-1-1
χ31111111111111111-1-1-1-111111-1-111-1-1111-1-11111111111111111-1-1-1-111111-1-111-1-1111-1-11111111111111111-1-1-1-111111-1-111-1-1111-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ511111-11111-1-11-1-1-11-11-11111-11-1111-1-1-1-11-111111-11111-1-11-1-1-11-11-11111-11-1111-1-1-1-11-111111-11111-1-11-1-1-11-11-11111-11-1111-1-1-1-11-1
χ611111-11111-1-11-1-1-11-11-1-1-11111-1-1-11-111-1-1111111-11111-1-11-1-1-11-11-1-1-11111-1-1-11-111-1-1111111-11111-1-11-1-1-11-11-1-1-11111-1-1-11-111-1-11
χ711111-11111-1-11-1-1-1-11-111111-1-1111-11-1-1-1-1111111-11111-1-11-1-1-1-11-111111-1-1111-11-1-1-1-1111111-11111-1-11-1-1-1-11-111111-1-1111-11-1-1-1-11
χ811111-11111-1-11-1-1-1-11-11-1-1111-11-1-1-1111-11-111111-11111-1-11-1-1-1-11-11-1-1111-11-1-1-1111-11-111111-11111-1-11-1-1-1-11-11-1-1111-11-1-1-1111-11-1
χ92222222222222222000000-2-2000000000-2002222222222222222000000-2-2000000000-2002222222222222222000000-2-2000000000-200
χ1022222-22222-2-22-2-2-2000000-2-200000000020022222-22222-2-22-2-2-2000000-2-200000000020022222-22222-2-22-2-2-2000000-2-2000000000200
χ1122-2220-2-22200-2000020-2002-2002000-20000022-2220-2-22200-2000020-2002-2002000-20000022-2220-2-22200-2000020-2002-2002000-200000
χ1222-2220-2-22200-20000-202002-200-200020000022-2220-2-22200-20000-202002-200-200020000022-2220-2-22200-20000-202002-200-2000200000
χ1322-2220-2-22200-200020-2000-2202000-200000022-2220-2-22200-200020-2000-2202000-200000022-2220-2-22200-200020-2000-2202000-2000000
χ1422-2220-2-22200-2000-202000-220-2000200000022-2220-2-22200-2000-202000-220-2000200000022-2220-2-22200-2000-202000-220-20002000000
χ154441-24111-2-2-2-211-200002200200-1-100-1-10004441-24111-2-2-2-211-200002200200-1-100-1-10004441-24111-2-2-2-211-200002200200-1-100-1-1000
χ164441-24111-2-2-2-211-20000-2-200-2001100110004441-24111-2-2-2-211-20000-2-200-2001100110004441-24111-2-2-2-211-20000-2-200-200110011000
χ174441-2-4111-222-2-1-1200002200-200-1-100110004441-2-4111-222-2-1-1200002200-200-1-100110004441-2-4111-222-2-1-1200002200-200-1-10011000
χ184441-2-4111-222-2-1-120000-2-2002001100-1-10004441-2-4111-222-2-1-120000-2-2002001100-1-10004441-2-4111-222-2-1-120000-2-2002001100-1-1000
χ19444-214-2-2-21111-2-21222200000-1-100-1-100000444-214-2-2-21111-2-21222200000-1-100-1-100000444-214-2-2-21111-2-21222200000-1-100-1-100000
χ20444-214-2-2-21111-2-21-2-2-2-20000011001100000444-214-2-2-21111-2-21-2-2-2-20000011001100000444-214-2-2-21111-2-21-2-2-2-20000011001100000
χ21444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000
χ22444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000
χ2344-4-21022-2133-100-322-2-200000-1-100110000044-4-21022-2133-100-322-2-200000-1-100110000044-4-21022-2133-100-322-2-200000-1-1001100000
χ2444-4-21022-2133-100-3-2-222000001100-1-10000044-4-21022-2133-100-3-2-222000001100-1-10000044-4-21022-2133-100-3-2-222000001100-1-100000
χ2544-4-21022-21-3-3-10032-2-2200000-11001-10000044-4-21022-21-3-3-10032-2-2200000-11001-10000044-4-21022-21-3-3-10032-2-2200000-11001-100000
χ2644-4-21022-21-3-3-1003-222-2000001-100-110000044-4-21022-21-3-3-1003-222-2000001-100-110000044-4-21022-21-3-3-1003-222-2000001-100-1100000
χ274-401-203-3-1223−2303−3000002-2000001-1003−30004-401-203-3-1223−2303−3000002-2000001-1003−30004-401-203-3-1223−2303−3000002-2000001-1003−3000
χ284-401-203-3-1223−2303−300000-2200000-1100−330004-401-203-3-1223−2303−300000-2200000-1100−330004-401-203-3-1223−2303−300000-2200000-1100−33000
χ294-401-203-3-12−23230−33000002-2000001-100−330004-401-203-3-12−23230−33000002-2000001-100−330004-401-203-3-12−23230−33000002-2000001-100−33000
χ304-401-203-3-12−23230−3300000-2200000-11003−30004-401-203-3-12−23230−3300000-2200000-11003−30004-401-203-3-12−23230−3300000-2200000-11003−3000
χ314-4044000-4-400000000002-200000-2200000004-4044000-4-400000000002-200000-2200000004-4044000-4-400000000002-200000-220000000
χ324-4044000-4-40000000000-22000002-200000004-4044000-4-40000000000-22000002-200000004-4044000-4-40000000000-22000002-20000000
χ3388-82-40-2-22-40040000000000000000000000088-82-40-2-22-40040000000000000000000000088-82-40-2-22-400400000000000000000000000
χ348-802-40-66-24000000000000000000000000008-802-40-66-24000000000000000000000000008-802-40-66-2400000000000000000000000000
χ358-80-420004-223−230−23230000000000000000000008-80-420004-223−230−23230000000000000000000008-80-420004-223−230−2323000000000000000000000
χ368-80-420004-2−2323023−230000000000000000000008-80-420004-2−2323023−230000000000000000000008-80-420004-2−2323023−23000000000000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3811111111111111111111-1-111-111-1-111-1-11-1-1−1+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+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32
χ391111111111111111-1-1-1-111111-1-111-1-1111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ401111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+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+i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ4111111-11111-1-11-1-1-11-11-11111-11-1111-1-1-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32
χ4211111-11111-1-11-1-1-11-11-1-1-11111-1-1-11-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4311111-11111-1-11-1-1-1-11-111111-1-1111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ4411111-11111-1-11-1-1-1-11-11-1-1111-11-1-1-1111-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ452222222222222222000000-2-2000000000-200−1+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+i3−1+i30000001−i31−i30000000001−i300−1−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−i3−1−i30000001+i31+i30000000001+i300
χ4622222-22222-2-22-2-2-2000000-2-2000000000200−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i30000001−i31−i3000000000−1+i300−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i30000001+i31+i3000000000−1−i300
χ4722-2220-2-22200-2000020-2002-2002000-200000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i30000−1+i301−i300−1+i31−i300−1+i30001−i300000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i30000−1−i301+i300−1−i31+i300−1−i30001+i300000
χ4822-2220-2-22200-20000-202002-200-2000200000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i300001−i30−1+i300−1+i31−i3001−i3000−1+i300000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i300001+i30−1−i300−1−i31+i3001+i3000−1−i300000
χ4922-2220-2-22200-200020-2000-2202000-2000000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i3000−1+i301−i30001−i3−1+i30−1+i30001−i3000000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i3000−1−i301+i30001+i3−1−i30−1−i30001+i3000000
χ5022-2220-2-22200-2000-202000-220-20002000000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i30001−i30−1+i30001−i3−1+i301−i3000−1+i3000000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i30001+i30−1−i30001+i3−1−i301+i3000−1−i3000000
χ514441-24111-2-2-2-211-200002200200-1-100-1-1000−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i30000−1+i3−1+i300−1+i3001−i321−i32001−i321−i32000−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i30000−1−i3−1−i300−1−i3001+i321+i32001+i321+i32000
χ524441-24111-2-2-2-211-20000-2-200-200110011000−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i300001−i31−i3001−i300−1+i32−1+i3200−1+i32−1+i32000−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i300001+i31+i3001+i300−1−i32−1−i3200−1−i32−1−i32000
χ534441-2-4111-222-2-1-1200002200-200-1-10011000−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i30000−1+i3−1+i3001−i3001−i321−i3200−1+i32−1+i32000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i30000−1−i3−1−i3001+i3001+i321+i3200−1−i32−1−i32000
χ544441-2-4111-222-2-1-120000-2-2002001100-1-1000−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i300001−i31−i300−1+i300−1+i32−1+i32001−i321−i32000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300001+i31+i300−1−i300−1−i32−1−i32001+i321+i32000
χ55444-214-2-2-21111-2-21222200000-1-100-1-100000−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3−1+i3−1+i3−1+i3000001−i321−i32001−i321−i3200000−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3−1−i3−1−i3−1−i3000001+i321+i32001+i321+i3200000
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χ57444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i32−1+i31−i3−1+i31−i3000001−i32−1+i32001−i32−1+i3200000−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i32−1−i31+i3−1−i31+i3000001+i32−1−i32001+i32−1−i3200000
χ58444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i321−i3−1+i31−i3−1+i300000−1+i321−i3200−1+i321−i3200000−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i321+i3−1−i31+i3−1−i300000−1−i321+i3200−1−i321+i3200000
χ5944-4-21022-2133-100-322-2-200000-1-1001100000−2+2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i31−i3−1+i32−3+3i32−3+3i321−i32003−3i32−1+i3−1+i31−i31−i3000001−i321−i3200−1+i32−1+i3200000−2−2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i31+i3−1−i32−3−3i32−3−3i321+i32003+3i32−1−i3−1−i31+i31+i3000001+i321+i3200−1−i32−1−i3200000
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χ6144-4-21022-21-3-3-10032-2-2200000-11001-100000−2+2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i31−i3−1+i323−3i323−3i321−i3200−3+3i32−1+i31−i31−i3−1+i3000001−i32−1+i3200−1+i321−i3200000−2−2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i31+i3−1−i323+3i323+3i321+i3200−3−3i32−1−i31+i31+i3−1−i3000001+i32−1−i3200−1−i321+i3200000
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χ644-401-203-3-1223−2303−300000-2200000-1100−33000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i3−2ζ7−4ζ112ζ7+4ζ110−ζ7−2ζ11ζ7+2ζ11000001−i3−1+i3000001−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i34ζ7+2ζ11−4ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ11000001+i3−1−i3000001+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000
χ654-401-203-3-12−23230−33000002-2000001-100−33000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i32ζ7+4ζ11−2ζ7−4ζ110ζ7+2ζ11−ζ7−2ζ1100000−1+i31−i300000−1+i321−i3200ζ7+2ζ11−ζ7−2ζ11000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i3−4ζ7−2ζ114ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1100000−1−i31+i300000−1−i321+i3200−2ζ7−ζ112ζ7+ζ11000
χ664-401-203-3-12−23230−3300000-2200000-11003−3000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i32ζ7+4ζ11−2ζ7−4ζ110ζ7+2ζ11−ζ7−2ζ11000001−i3−1+i3000001−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i3−4ζ7−2ζ114ζ7+2ζ110−2ζ7−ζ112ζ7+ζ11000001+i3−1−i3000001+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000
χ674-4044000-4-400000000002-200000-220000000−2+2i32−2i30−2+2i3−2+2i30002−2i32−2i30000000000−1+i31−i3000001−i3−1+i30000000−2−2i32+2i30−2−2i3−2−2i30002+2i32+2i30000000000−1−i31+i3000001+i3−1−i30000000
χ684-4044000-4-40000000000-22000002-20000000−2+2i32−2i30−2+2i3−2+2i30002−2i32−2i300000000001−i3−1+i300000−1+i31−i30000000−2−2i32+2i30−2−2i3−2−2i30002+2i32+2i300000000001+i3−1−i300000−1−i31+i30000000
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χ7411111111111111111111-1-111-111-1-111-1-11-1-1−1−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−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−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+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32
χ751111111111111111-1-1-1-111111-1-111-1-1111-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ761111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1−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−i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ7711111-11111-1-11-1-1-11-11-11111-11-1111-1-1-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32
χ7811111-11111-1-11-1-1-11-11-1-1-11111-1-1-11-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
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χ8011111-11111-1-11-1-1-1-11-11-1-1111-11-1-1-1111-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ812222222222222222000000-2-2000000000-200−1−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−i3−1−i30000001+i31+i30000000001+i300−1+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+i3−1+i30000001−i31−i30000000001−i300
χ8222222-22222-2-22-2-2-2000000-2-2000000000200−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i30000001+i31+i3000000000−1−i300−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i30000001−i31−i3000000000−1+i300
χ8322-2220-2-22200-2000020-2002-2002000-200000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i30000−1−i301+i300−1−i31+i300−1−i30001+i300000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i30000−1+i301−i300−1+i31−i300−1+i30001−i300000
χ8422-2220-2-22200-20000-202002-200-2000200000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i300001+i30−1−i300−1−i31+i3001+i3000−1−i300000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i300001−i30−1+i300−1+i31−i3001−i3000−1+i300000
χ8522-2220-2-22200-200020-2000-2202000-2000000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i3000−1−i301+i30001+i3−1−i30−1−i30001+i3000000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i3000−1+i301−i30001−i3−1+i30−1+i30001−i3000000
χ8622-2220-2-22200-2000-202000-220-20002000000−1−i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i3001+i30001+i30−1−i30001+i3−1−i301+i3000−1−i3000000−1+i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i3001−i30001−i30−1+i30001−i3−1+i301−i3000−1+i3000000
χ874441-24111-2-2-2-211-200002200200-1-100-1-1000−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i30000−1−i3−1−i300−1−i3001+i321+i32001+i321+i32000−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i30000−1+i3−1+i300−1+i3001−i321−i32001−i321−i32000
χ884441-24111-2-2-2-211-20000-2-200-200110011000−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i300001+i31+i3001+i300−1−i32−1−i3200−1−i32−1−i32000−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i300001−i31−i3001−i300−1+i32−1+i3200−1+i32−1+i32000
χ894441-2-4111-222-2-1-1200002200-200-1-10011000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i30000−1−i3−1−i3001+i3001+i321+i3200−1−i32−1−i32000−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i30000−1+i3−1+i3001−i3001−i321−i3200−1+i32−1+i32000
χ904441-2-4111-222-2-1-120000-2-2002001100-1-1000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300001+i31+i300−1−i300−1−i32−1−i32001+i321+i32000−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i300001−i31−i300−1+i300−1+i32−1+i32001−i321−i32000
χ91444-214-2-2-21111-2-21222200000-1-100-1-100000−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3−1−i3−1−i3−1−i3000001+i321+i32001+i321+i3200000−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3−1+i3−1+i3−1+i3000001−i321−i32001−i321−i3200000
χ92444-214-2-2-21111-2-21-2-2-2-20000011001100000−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i31+i31+i31+i300000−1−i32−1−i3200−1−i32−1−i3200000−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i31−i31−i31−i300000−1+i32−1+i3200−1+i32−1+i3200000
χ93444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i32−1−i31+i3−1−i31+i3000001+i32−1−i32001+i32−1−i3200000−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i32−1+i31−i3−1+i31−i3000001−i32−1+i32001−i32−1+i3200000
χ94444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i321+i3−1−i31+i3−1−i300000−1−i321+i3200−1−i321+i3200000−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i321−i3−1+i31−i3−1+i300000−1+i321−i3200−1+i321−i3200000
χ9544-4-21022-2133-100-322-2-200000-1-1001100000−2−2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i31+i3−1−i32−3−3i32−3−3i321+i32003+3i32−1−i3−1−i31+i31+i3000001+i321+i3200−1−i32−1−i3200000−2+2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i31−i3−1+i32−3+3i32−3+3i321−i32003−3i32−1+i3−1+i31−i31−i3000001−i321−i3200−1+i32−1+i3200000
χ9644-4-21022-2133-100-3-2-222000001100-1-100000−2−2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i31+i3−1−i32−3−3i32−3−3i321+i32003+3i321+i31+i3−1−i3−1−i300000−1−i32−1−i32001+i321+i3200000−2+2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i31−i3−1+i32−3+3i32−3+3i321−i32003−3i321−i31−i3−1+i3−1+i300000−1+i32−1+i32001−i321−i3200000
χ9744-4-21022-21-3-3-10032-2-2200000-11001-100000−2−2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i31+i3−1−i323+3i323+3i321+i3200−3−3i32−1−i31+i31+i3−1−i3000001+i32−1−i3200−1−i321+i3200000−2+2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i31−i3−1+i323−3i323−3i321−i3200−3+3i32−1+i31−i31−i3−1+i3000001−i32−1+i3200−1+i321−i3200000
χ9844-4-21022-21-3-3-1003-222-2000001-100-1100000−2−2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i31+i3−1−i323+3i323+3i321+i3200−3−3i321+i3−1−i3−1−i31+i300000−1−i321+i32001+i32−1−i3200000−2+2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i31−i3−1+i323−3i323−3i321−i3200−3+3i321−i3−1+i3−1+i31−i300000−1+i321−i32001−i32−1+i3200000
χ994-401-203-3-1223−2303−3000002-2000001-1003−3000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i34ζ7+2ζ11−4ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ1100000−1−i31+i300000−1−i321+i32002ζ7+ζ11−2ζ7−ζ11000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i3−2ζ7−4ζ112ζ7+4ζ110−ζ7−2ζ11ζ7+2ζ1100000−1+i31−i300000−1+i321−i3200−ζ7−2ζ11ζ7+2ζ11000
χ1004-401-203-3-1223−2303−300000-2200000-1100−33000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i34ζ7+2ζ11−4ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ11000001+i3−1−i3000001+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i3−2ζ7−4ζ112ζ7+4ζ110−ζ7−2ζ11ζ7+2ζ11000001−i3−1+i3000001−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000
χ1014-401-203-3-12−23230−33000002-2000001-100−33000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i3−4ζ7−2ζ114ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1100000−1−i31+i300000−1−i321+i3200−2ζ7−ζ112ζ7+ζ11000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i32ζ7+4ζ11−2ζ7−4ζ110ζ7+2ζ11−ζ7−2ζ1100000−1+i31−i300000−1+i321−i3200ζ7+2ζ11−ζ7−2ζ11000
χ1024-401-203-3-12−23230−3300000-2200000-11003−3000−2−2i32+2i30−1−i321+i30−3−3i323+3i321+i32−1−i3−4ζ7−2ζ114ζ7+2ζ110−2ζ7−ζ112ζ7+ζ11000001+i3−1−i3000001+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000−2+2i32−2i30−1+i321−i30−3+3i323−3i321−i32−1+i32ζ7+4ζ11−2ζ7−4ζ110ζ7+2ζ11−ζ7−2ζ11000001−i3−1+i3000001−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000
χ1034-4044000-4-400000000002-200000-220000000−2−2i32+2i30−2−2i3−2−2i30002+2i32+2i30000000000−1−i31+i3000001+i3−1−i30000000−2+2i32−2i30−2+2i3−2+2i30002−2i32−2i30000000000−1+i31−i3000001−i3−1+i30000000
χ1044-4044000-4-40000000000-22000002-20000000−2−2i32+2i30−2−2i3−2−2i30002+2i32+2i300000000001+i3−1−i300000−1−i31+i30000000−2+2i32−2i30−2+2i3−2+2i30002−2i32−2i300000000001−i3−1+i300000−1+i31−i30000000
χ10588-82-40-2-22-400400000000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i301+i31+i3−1−i32+2i300−2−2i300000000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i301−i31−i3−1+i32−2i300−2+2i300000000000000000000000
χ1068-802-40-66-2400000000000000000000000000−4−4i34+4i30−1−i32+2i303+3i3−3−3i31+i3−2−2i300000000000000000000000000−4+4i34−4i30−1+i32−2i303−3i3−3+3i31−i3−2+2i300000000000000000000000000
χ1078-80-420004-223−230−2323000000000000000000000−4−4i34+4i302+2i3−1−i3000−2−2i31+i34ζ7+2ζ11−4ζ7−2ζ110−4ζ7−2ζ114ζ7+2ζ11000000000000000000000−4+4i34−4i302−2i3−1+i3000−2+2i31−i3−2ζ7−4ζ112ζ7+4ζ1102ζ7+4ζ11−2ζ7−4ζ11000000000000000000000
χ1088-80-420004-2−2323023−23000000000000000000000−4−4i34+4i302+2i3−1−i3000−2−2i31+i3−4ζ7−2ζ114ζ7+2ζ1104ζ7+2ζ11−4ζ7−2ζ11000000000000000000000−4+4i34−4i302−2i3−1+i3000−2+2i31−i32ζ7+4ζ11−2ζ7−4ζ110−2ζ7−4ζ112ζ7+4ζ11000000000000000000000

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