Finite Group Databasebeta

← Group #13166820

Character table — Group #13166820

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112444444444888812121212121218182424242424242424243672721124444444448888121212121212181824242424242424242436727211244444444488881212121212121818242424242424242424367272
order12233466661212612121222444444266661212121248836633126666121261212126612121212121266666121212121224243663312666612126121212661212121212126666612121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-111-1-1-1-1111-1-111111111111111111111-1-111-111-1-1-1-1111-1-111111111111111111111-1-111-111-1-1-1-1111-1-1
χ31111111111111111-1-1-1-111111-1-11111-1-11-1-11111111111111111-1-1-1-111111-1-11111-1-11-1-11111111111111111-1-1-1-111111-1-11111-1-11-1-1
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
χ511111-11111-1-11-1-1-11-11-11111-11-1-1-1111-1-11-111111-11111-1-11-1-1-11-11-11111-11-1-1-1111-1-11-111111-11111-1-11-1-1-11-11-11111-11-1-1-1111-1-11-1
χ611111-11111-1-11-1-1-11-11-1-1-11111-111-1-11-1-1-1111111-11111-1-11-1-1-11-11-1-1-11111-111-1-11-1-1-1111111-11111-1-11-1-1-11-11-1-1-11111-111-1-11-1-1-11
χ711111-11111-1-11-1-1-1-11-111111-1-11-1-111-11-1-1111111-11111-1-11-1-1-1-11-111111-1-11-1-111-11-1-1111111-11111-1-11-1-1-1-11-111111-1-11-1-111-11-1-11
χ811111-11111-1-11-1-1-1-11-11-1-1111-1111-1-1-11-11-111111-11111-1-11-1-1-1-11-11-1-1111-1111-1-1-11-11-111111-11111-1-11-1-1-1-11-11-1-1111-1111-1-1-11-11-1
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
χ1122-2220-22-2200-2000020-2002-200200000-200022-2220-22-2200-2000020-2002-200200000-200022-2220-22-2200-2000020-2002-200200000-2000
χ1222-2220-22-2200-20000-202002-200-200000200022-2220-22-2200-20000-202002-200-200000200022-2220-22-2200-20000-202002-200-2000002000
χ1322-2220-22-2200-200020-2000-220200000-2000022-2220-22-2200-200020-2000-220200000-2000022-2220-22-2200-200020-2000-220200000-20000
χ1422-2220-22-2200-2000-202000-220-2000002000022-2220-22-2200-2000-202000-220-2000002000022-2220-22-2200-2000-202000-220-20000020000
χ154441-24111-2-2-2-211-200002200200-1-1-1-1000004441-24111-2-2-2-211-200002200200-1-1-1-1000004441-24111-2-2-2-211-200002200200-1-1-1-100000
χ164441-24111-2-2-2-211-20000-2-200-2001111000004441-24111-2-2-2-211-20000-2-200-2001111000004441-24111-2-2-2-211-20000-2-200-200111100000
χ174441-2-4111-222-2-1-1200002200-20011-1-1000004441-2-4111-222-2-1-1200002200-20011-1-1000004441-2-4111-222-2-1-1200002200-20011-1-100000
χ184441-2-4111-222-2-1-120000-2-200200-1-111000004441-2-4111-222-2-1-120000-2-200200-1-111000004441-2-4111-222-2-1-120000-2-200200-1-11100000
χ19444-214-2-2-21111-2-21222200000-1-10000-1-1000444-214-2-2-21111-2-21222200000-1-10000-1-1000444-214-2-2-21111-2-21222200000-1-10000-1-1000
χ20444-214-2-2-21111-2-21-2-2-2-20000011000011000444-214-2-2-21111-2-21-2-2-2-20000011000011000444-214-2-2-21111-2-21-2-2-2-20000011000011000
χ21444-21-4-2-2-21-1-1122-12-22-200000-110000-11000444-21-4-2-2-21-1-1122-12-22-200000-110000-11000444-21-4-2-2-21-1-1122-12-22-200000-110000-11000
χ22444-21-4-2-2-21-1-1122-1-22-22000001-100001-1000444-21-4-2-2-21-1-1122-1-22-22000001-100001-1000444-21-4-2-2-21-1-1122-1-22-22000001-100001-1000
χ2344-4-2102-22133-100-322-2-200000-1-100001100044-4-2102-22133-100-322-2-200000-1-100001100044-4-2102-22133-100-322-2-200000-1-1000011000
χ2444-4-2102-22133-100-3-2-22200000110000-1-100044-4-2102-22133-100-3-2-22200000110000-1-100044-4-2102-22133-100-3-2-22200000110000-1-1000
χ2544-4-2102-221-3-3-10032-2-2200000-1100001-100044-4-2102-221-3-3-10032-2-2200000-1100001-100044-4-2102-221-3-3-10032-2-2200000-1100001-1000
χ2644-4-2102-221-3-3-1003-222-2000001-10000-1100044-4-2102-221-3-3-1003-222-2000001-10000-1100044-4-2102-221-3-3-1003-222-2000001-10000-11000
χ274-401-20-3-13223−2303−3000002i−2i00000−i3i3i−i000004-401-20-3-13223−2303−3000002i−2i00000−i3i3i−i000004-401-20-3-13223−2303−3000002i−2i00000−i3i3i−i00000
χ284-401-20-3-13223−2303−300000−2i2i00000i3−i3−ii000004-401-20-3-13223−2303−300000−2i2i00000i3−i3−ii000004-401-20-3-13223−2303−300000−2i2i00000i3−i3−ii00000
χ294-401-20-3-132−23230−33000002i−2i00000i3−i3i−i000004-401-20-3-132−23230−33000002i−2i00000i3−i3i−i000004-401-20-3-132−23230−33000002i−2i00000i3−i3i−i00000
χ304-401-20-3-132−23230−3300000−2i2i00000−i3i3−ii000004-401-20-3-132−23230−3300000−2i2i00000−i3i3−ii000004-401-20-3-132−23230−3300000−2i2i00000−i3i3−ii00000
χ314-404400-40-400000000002i−2i0000000−2i2i000004-404400-40-400000000002i−2i0000000−2i2i000004-404400-40-400000000002i−2i0000000−2i2i00000
χ324-404400-40-40000000000−2i2i00000002i−2i000004-404400-40-40000000000−2i2i00000002i−2i000004-404400-40-40000000000−2i2i00000002i−2i00000
χ3388-82-40-22-2-40040000000000000000000000088-82-40-22-2-40040000000000000000000000088-82-40-22-2-400400000000000000000000000
χ348-802-406-2-64000000000000000000000000008-802-406-2-64000000000000000000000000008-802-406-2-6400000000000000000000000000
χ358-80-420040-223−230−23230000000000000000000008-80-420040-223−230−23230000000000000000000008-80-420040-223−230−2323000000000000000000000
χ368-80-420040-2−2323023−230000000000000000000008-80-420040-2−2323023−230000000000000000000008-80-420040-2−2323023−23000000000000000000000
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
χ3811111111111111111111-1-111-111-1-1-1-1111-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ391111111111111111-1-1-1-111111-1-11111-1-11-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ4111111-11111-1-11-1-1-11-11-11111-11-1-1-1111-1-11-1−1+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−i321−i321−i32−1+i32−1+i32−1+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+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ4211111-11111-1-11-1-1-11-11-1-1-11111-111-1-11-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+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+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32
χ4311111-11111-1-11-1-1-1-11-111111-1-11-1-111-11-1-11−1+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+i321−i321−i32−1+i32−1+i321−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+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ4411111-11111-1-11-1-1-1-11-11-1-1111-1111-1-1-11-11-1−1+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+i32−1+i32−1+i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+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
χ4722-2220-22-2200-2000020-2002-200200000-2000−1+i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i3−1+i3001−i30000−1+i301−i300−1+i31−i300−1+i3000001−i3000−1−i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i3−1−i3001+i30000−1−i301+i300−1−i31+i300−1−i3000001+i3000
χ4822-2220-22-2200-20000-202002-200-2000002000−1+i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i3−1+i3001−i300001−i30−1+i300−1+i31−i3001−i300000−1+i3000−1−i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i3−1−i3001+i300001+i30−1−i300−1−i31+i3001+i300000−1−i3000
χ4922-2220-22-2200-200020-2000-220200000-20000−1+i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i3−1+i3001−i3000−1+i301−i30001−i3−1+i30−1+i3000001−i30000−1−i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i3−1−i3001+i3000−1−i301+i30001+i3−1−i30−1−i3000001+i30000
χ5022-2220-22-2200-2000-202000-220-20000020000−1+i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i3−1+i3001−i30001−i30−1+i30001−i3−1+i301−i300000−1+i30000−1−i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i3−1−i3001+i30001+i30−1−i30001+i3−1−i301+i300000−1−i30000
χ514441-24111-2-2-2-211-200002200200-1-1-1-100000−2+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−i321−i321−i3200000−2−2i3−2−2i3−2−2i3−1−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+i321+i321+i3200000
χ524441-24111-2-2-2-211-20000-2-200-200111100000−2+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+i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−1−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−i32−1−i32−1−i3200000
χ534441-2-4111-222-2-1-1200002200-20011-1-100000−2+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−i300−1+i32−1+i321−i321−i3200000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i30000−1−i3−1−i3001+i300−1−i32−1−i321+i321+i3200000
χ544441-2-4111-222-2-1-120000-2-200200-1-11100000−2+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+i3001−i321−i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300001+i31+i300−1−i3001+i321+i32−1−i32−1−i3200000
χ55444-214-2-2-21111-2-21222200000-1-10000-1-1000−2+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−i3200001−i321−i32000−2−2i3−2−2i3−2−2i31+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+i3200001+i321+i32000
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χ57444-21-4-2-2-21-1-1122-12-22-200000-110000-11000−2+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+i3200001−i32−1+i32000−2−2i3−2−2i3−2−2i31+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−i3200001+i32−1−i32000
χ58444-21-4-2-2-21-1-1122-1-22-22000001-100001-1000−2+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−i320000−1+i321−i32000−2−2i3−2−2i3−2−2i31+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+i320000−1−i321+i32000
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χ6144-4-2102-221-3-3-10032-2-2200000-1100001-1000−2+2i3−2+2i32−2i31−i3−1+i320−1+i31−i3−1+i3−1+i323−3i323−3i321−i3200−3+3i32−1+i31−i31−i3−1+i3000001−i32−1+i320000−1+i321−i32000−2−2i3−2−2i32+2i31+i3−1−i320−1−i31+i3−1−i3−1−i323+3i323+3i321+i3200−3−3i32−1−i31+i31+i3−1−i3000001+i32−1−i320000−1−i321+i32000
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χ751111111111111111-1-1-1-111111-1-11111-1-11-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32
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χ7811111-11111-1-11-1-1-11-11-1-1-11111-111-1-11-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−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−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32
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χ8422-2220-22-2200-20000-202002-200-2000002000−1−i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i3−1−i3001+i300001+i30−1−i300−1−i31+i3001+i300000−1−i3000−1+i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i3−1+i3001−i300001−i30−1+i300−1+i31−i3001−i300000−1+i3000
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χ884441-24111-2-2-2-211-20000-2-200-200111100000−2−2i3−2−2i3−2−2i3−1−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−i32−1−i32−1−i3200000−2+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+i32−1+i32−1+i3200000
χ894441-2-4111-222-2-1-1200002200-20011-1-100000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i30000−1−i3−1−i3001+i300−1−i32−1−i321+i321+i3200000−2+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−i300−1+i32−1+i321−i321−i3200000
χ904441-2-4111-222-2-1-120000-2-200200-1-11100000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300001+i31+i300−1−i3001+i321+i32−1−i32−1−i3200000−2+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+i3001−i321−i32−1+i32−1+i3200000
χ91444-214-2-2-21111-2-21222200000-1-10000-1-1000−2−2i3−2−2i3−2−2i31+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+i3200001+i321+i32000−2+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−i3200001−i321−i32000
χ92444-214-2-2-21111-2-21-2-2-2-20000011000011000−2−2i3−2−2i3−2−2i31+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−i320000−1−i32−1−i32000−2+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+i320000−1+i32−1+i32000
χ93444-21-4-2-2-21-1-1122-12-22-200000-110000-11000−2−2i3−2−2i3−2−2i31+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−i3200001+i32−1−i32000−2+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+i3200001−i32−1+i32000
χ94444-21-4-2-2-21-1-1122-1-22-22000001-100001-1000−2−2i3−2−2i3−2−2i31+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+i320000−1−i321+i32000−2+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−i320000−1+i321−i32000
χ9544-4-2102-22133-100-322-2-200000-1-1000011000−2−2i3−2−2i32+2i31+i3−1−i320−1−i31+i3−1−i3−1−i32−3−3i32−3−3i321+i32003+3i32−1−i3−1−i31+i31+i3000001+i321+i320000−1−i32−1−i32000−2+2i3−2+2i32−2i31−i3−1+i320−1+i31−i3−1+i3−1+i32−3+3i32−3+3i321−i32003−3i32−1+i3−1+i31−i31−i3000001−i321−i320000−1+i32−1+i32000
χ9644-4-2102-22133-100-3-2-22200000110000-1-1000−2−2i3−2−2i32+2i31+i3−1−i320−1−i31+i3−1−i3−1−i32−3−3i32−3−3i321+i32003+3i321+i31+i3−1−i3−1−i300000−1−i32−1−i3200001+i321+i32000−2+2i3−2+2i32−2i31−i3−1+i320−1+i31−i3−1+i3−1+i32−3+3i32−3+3i321−i32003−3i321−i31−i3−1+i3−1+i300000−1+i32−1+i3200001−i321−i32000
χ9744-4-2102-221-3-3-10032-2-2200000-1100001-1000−2−2i3−2−2i32+2i31+i3−1−i320−1−i31+i3−1−i3−1−i323+3i323+3i321+i3200−3−3i32−1−i31+i31+i3−1−i3000001+i32−1−i320000−1−i321+i32000−2+2i3−2+2i32−2i31−i3−1+i320−1+i31−i3−1+i3−1+i323−3i323−3i321−i3200−3+3i32−1+i31−i31−i3−1+i3000001−i32−1+i320000−1+i321−i32000
χ9844-4-2102-221-3-3-1003-222-2000001-10000-11000−2−2i3−2−2i32+2i31+i3−1−i320−1−i31+i3−1−i3−1−i323+3i323+3i321+i3200−3−3i321+i3−1−i3−1−i31+i300000−1−i321+i3200001+i32−1−i32000−2+2i3−2+2i32−2i31−i3−1+i320−1+i31−i3−1+i3−1+i323−3i323−3i321−i3200−3+3i321−i3−1+i3−1+i31−i300000−1+i321−i3200001−i32−1+i32000
χ994-401-20-3-13223−2303−3000002i−2i00000−i3i3i−i00000−2−2i32+2i30−1−i321+i303+3i321+i32−3−3i32−1−i34ζ7+2ζ11−4ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ11000002ζ11−2ζ1100000−3+i323−i32ζ11−ζ1100000−2+2i32−2i30−1+i321−i303−3i321−i32−3+3i32−1+i3−2ζ7−4ζ112ζ7+4ζ110−ζ7−2ζ11ζ7+2ζ11000002ζ7−2ζ7000003+i32−3−i32ζ7−ζ700000
χ1004-401-20-3-13223−2303−300000−2i2i00000i3−i3−ii00000−2−2i32+2i30−1−i321+i303+3i321+i32−3−3i32−1−i34ζ7+2ζ11−4ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ1100000−2ζ112ζ11000003−i32−3+i32−ζ11ζ1100000−2+2i32−2i30−1+i321−i303−3i321−i32−3+3i32−1+i3−2ζ7−4ζ112ζ7+4ζ110−ζ7−2ζ11ζ7+2ζ1100000−2ζ72ζ700000−3−i323+i32−ζ7ζ700000
χ1014-401-20-3-132−23230−33000002i−2i00000i3−i3i−i00000−2−2i32+2i30−1−i321+i303+3i321+i32−3−3i32−1−i3−4ζ7−2ζ114ζ7+2ζ110−2ζ7−ζ112ζ7+ζ11000002ζ11−2ζ11000003−i32−3+i32ζ11−ζ1100000−2+2i32−2i30−1+i321−i303−3i321−i32−3+3i32−1+i32ζ7+4ζ11−2ζ7−4ζ110ζ7+2ζ11−ζ7−2ζ11000002ζ7−2ζ700000−3−i323+i32ζ7−ζ700000
χ1024-401-20-3-132−23230−3300000−2i2i00000−i3i3−ii00000−2−2i32+2i30−1−i321+i303+3i321+i32−3−3i32−1−i3−4ζ7−2ζ114ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1100000−2ζ112ζ1100000−3+i323−i32−ζ11ζ1100000−2+2i32−2i30−1+i321−i303−3i321−i32−3+3i32−1+i32ζ7+4ζ11−2ζ7−4ζ110ζ7+2ζ11−ζ7−2ζ1100000−2ζ72ζ7000003+i32−3−i32−ζ7ζ700000
χ1034-404400-40-400000000002i−2i0000000−2i2i00000−2−2i32+2i30−2−2i3−2−2i3002+2i302+2i300000000002ζ11−2ζ110000000−2ζ112ζ1100000−2+2i32−2i30−2+2i3−2+2i3002−2i302−2i300000000002ζ7−2ζ70000000−2ζ72ζ700000
χ1044-404400-40-40000000000−2i2i00000002i−2i00000−2−2i32+2i30−2−2i3−2−2i3002+2i302+2i30000000000−2ζ112ζ1100000002ζ11−2ζ1100000−2+2i32−2i30−2+2i3−2+2i3002−2i302−2i30000000000−2ζ72ζ700000002ζ7−2ζ700000
χ10588-82-40-22-2-400400000000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i301+i3−1−i31+i32+2i300−2−2i300000000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i301−i3−1+i31−i32−2i300−2+2i300000000000000000000000
χ1068-802-406-2-6400000000000000000000000000−4−4i34+4i30−1−i32+2i30−3−3i31+i33+3i3−2−2i300000000000000000000000000−4+4i34−4i30−1+i32−2i30−3+3i31−i33−3i3−2+2i300000000000000000000000000
χ1078-80-420040-223−230−2323000000000000000000000−4−4i34+4i302+2i3−1−i300−2−2i301+i34ζ7+2ζ11−4ζ7−2ζ110−4ζ7−2ζ114ζ7+2ζ11000000000000000000000−4+4i34−4i302−2i3−1+i300−2+2i301−i3−2ζ7−4ζ112ζ7+4ζ1102ζ7+4ζ11−2ζ7−4ζ11000000000000000000000
χ1088-80-420040-2−2323023−23000000000000000000000−4−4i34+4i302+2i3−1−i300−2−2i301+i3−4ζ7−2ζ114ζ7+2ζ1104ζ7+2ζ11−4ζ7−2ζ11000000000000000000000−4+4i34−4i302−2i3−1+i300−2+2i301−i32ζ7+4ζ11−2ζ7−4ζ110−2ζ7−4ζ112ζ7+4ζ11000000000000000000000

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