Finite Group Databasebeta

← Group #13165884

Character table — Group #13165884

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122226666888812121212121212121616161624242424242424363636721111222266668888121212121212121216161616242424242424243636367211112222666688881212121212121212161616162424242424242436363672
order12223666444436668812122424242436664121212121212488236663666121212123666242412122424242436661212121212121212242463666366612121212366624241212242424243666121212121212121224246
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-11111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-11111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-1
χ311111111-1-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1
χ411111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ5222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000
χ622222222-2-222-1-1-1-100220000-1-1-1-10001111-200022222222-2-222-1-1-1-100220000-1-1-1-10001111-200022222222-2-222-1-1-1-100220000-1-1-1-10001111-2000
χ72222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-1000000002222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-1000000002222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-100000000
χ82222-1-1-1-100222222-2-2-1-11111-1-1-1-1-211000000002222-1-1-1-100222222-2-2-1-11111-1-1-1-1-211000000002222-1-1-1-100222222-2-2-1-11111-1-1-1-1-21100000000
χ92-22-222-2-22i−2i00-11-112−20022−2−2-111-1000ii−i−i0−i2i202-22-222-2-22i−2i00-11-112−20022−2−2-111-1000ii−i−i0−i2i202-22-222-2-22i−2i00-11-112−20022−2−2-111-1000ii−i−i0−i2i20
χ102-22-222-2-22i−2i00-11-11−2200−2−222-111-1000ii−i−i0i2−i202-22-222-2-22i−2i00-11-11−2200−2−222-111-1000ii−i−i0i2−i202-22-222-2-22i−2i00-11-11−2200−2−222-111-1000ii−i−i0i2−i20
χ112-22-222-2-2−2i2i00-11-112−20022−2−2-111-1000−i−iii0i2−i202-22-222-2-2−2i2i00-11-112−20022−2−2-111-1000−i−iii0i2−i202-22-222-2-2−2i2i00-11-112−20022−2−2-111-1000−i−iii0i2−i20
χ122-22-222-2-2−2i2i00-11-11−2200−2−222-111-1000−i−iii0−i2i202-22-222-2-2−2i2i00-11-11−2200−2−222-111-1000−i−iii0−i2i202-22-222-2-2−2i2i00-11-11−2200−2−222-111-1000−i−iii0−i2i20
χ132-2-222-2-2200-2222-2-200-22000022-2-2000000000002-2-222-2-2200-2222-2-200-22000022-2-2000000000002-2-222-2-2200-2222-2-200-22000022-2-200000000000
χ142-2-222-2-2200-22-1-11100-220000-1-1110003−33−300002-2-222-2-2200-22-1-11100-220000-1-1110003−33−300002-2-222-2-2200-22-1-11100-220000-1-1110003−33−30000
χ152-2-222-2-2200-22-1-11100-220000-1-111000−33−3300002-2-222-2-2200-22-1-11100-220000-1-111000−33−3300002-2-222-2-2200-22-1-11100-220000-1-111000−33−330000
χ162-2-22-111-100-2222-2-2001-1−i3i3−i3i3-1-1110−i3i3000000002-2-22-111-100-2222-2-2001-1−i3i3−i3i3-1-1110−i3i3000000002-2-22-111-100-2222-2-2001-1−i3i3−i3i3-1-1110−i3i300000000
χ172-2-22-111-100-2222-2-2001-1i3−i3i3−i3-1-1110i3−i3000000002-2-22-111-100-2222-2-2001-1i3−i3i3−i3-1-1110i3−i3000000002-2-22-111-100-2222-2-2001-1i3−i3i3−i3-1-1110i3−i300000000
χ183333333333-1-1000011-1-111110000-1-1-10000-111-13333333333-1-1000011-1-111110000-1-1-10000-111-13333333333-1-1000011-1-111110000-1-1-10000-111-1
χ193333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-113333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-113333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-11
χ2033333333-3-3-1-1000011-1-111110000-1-1-100001-1-1133333333-3-3-1-1000011-1-111110000-1-1-100001-1-1133333333-3-3-1-1000011-1-111110000-1-1-100001-1-11
χ2133333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-133333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-133333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-1
χ224444-2-2-2-20044-2-2-2-200-2-200001111000000000004444-2-2-2-20044-2-2-2-200-2-200001111000000000004444-2-2-2-20044-2-2-2-200-2-20000111100000000000
χ2344-4-44-44-400001-1-11000000001-11-1000−i3i3i3−i3000044-4-44-44-400001-1-11000000001-11-1000−i3i3i3−i3000044-4-44-44-400001-1-11000000001-11-1000−i3i3i3−i30000
χ2444-4-44-44-400001-1-11000000001-11-1000i3−i3−i3i3000044-4-44-44-400001-1-11000000001-11-1000i3−i3−i3i3000044-4-44-44-400001-1-11000000001-11-1000i3−i3−i3i30000
χ2544-4-44-44-40000-222-200000000-22-220000000000044-4-44-44-40000-222-200000000-22-220000000000044-4-44-44-40000-222-200000000-22-2200000000000
χ2644-4-4-22-220000-222-20000i6−i6−i6i61-11-10000000000044-4-4-22-220000-222-20000i6−i6−i6i61-11-10000000000044-4-4-22-220000-222-20000i6−i6−i6i61-11-100000000000
χ2744-4-4-22-220000-222-20000−i6i6i6−i61-11-10000000000044-4-4-22-220000-222-20000−i6i6i6−i61-11-10000000000044-4-4-22-220000-222-20000−i6i6i6−i61-11-100000000000
χ284-44-444-4-44i−4i001-11-1000000001-1-11000−i−iii00004-44-444-4-44i−4i001-11-1000000001-1-11000−i−iii00004-44-444-4-44i−4i001-11-1000000001-1-11000−i−iii0000
χ294-44-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i00004-44-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i00004-44-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i0000
χ304-44-4-2-2220000-22-2222−2200−2−2221-1-11000000000004-44-4-2-2220000-22-2222−2200−2−2221-1-11000000000004-44-4-2-2220000-22-2222−2200−2−2221-1-1100000000000
χ314-44-4-2-2220000-22-22−22220022−2−21-1-11000000000004-44-4-2-2220000-22-22−22220022−2−21-1-11000000000004-44-4-2-2220000-22-22−22220022−2−21-1-1100000000000
χ324-4-44-222-200-44-2-222002-2000011-1-1000000000004-4-44-222-200-44-2-222002-2000011-1-1000000000004-4-44-222-200-44-2-222002-2000011-1-100000000000
χ336666-3-3-3-300-2-200002211-1-1-1-10000-211000000006666-3-3-3-300-2-200002211-1-1-1-10000-211000000006666-3-3-3-300-2-200002211-1-1-1-10000-21100000000
χ346666-3-3-3-300-2-20000-2-211111100002-1-1000000006666-3-3-3-300-2-20000-2-211111100002-1-1000000006666-3-3-3-300-2-20000-2-211111100002-1-100000000
χ356-6-666-6-66002-20000002-200000000000000000006-6-666-6-66002-20000002-200000000000000000006-6-666-6-66002-20000002-20000000000000000000
χ366-6-66-333-3002-2000000-11−i3i3−i3i300000i3−i3000000006-6-66-333-3002-2000000-11−i3i3−i3i300000i3−i3000000006-6-66-333-3002-2000000-11−i3i3−i3i300000i3−i300000000
χ376-6-66-333-3002-2000000-11i3−i3i3−i300000−i3i3000000006-6-66-333-3002-2000000-11i3−i3i3−i300000−i3i3000000006-6-66-333-3002-2000000-11i3−i3i3−i300000−i3i300000000
χ3888-8-8-44-4400002-2-2200000000-11-110000000000088-8-8-44-4400002-2-2200000000-11-110000000000088-8-8-44-4400002-2-2200000000-11-1100000000000
χ398-88-8-4-44400002-22-200000000-111-1000000000008-88-8-4-44400002-22-200000000-111-1000000000008-88-8-4-44400002-22-200000000-111-100000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ4211111111-1-1111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4311111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ44222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000−1+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−i3200−1+i3−1+i300001−i321−i321−i321−i320001−i321−i321−i321−i32−1+i3000−1−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+i3200−1−i3−1−i300001+i321+i321+i321+i320001+i321+i321+i321+i32−1−i3000
χ4522222222-2-222-1-1-1-100220000-1-1-1-10001111-2000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i300001−i321−i321−i321−i32000−1+i32−1+i32−1+i32−1+i321−i3000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i300001+i321+i321+i321+i32000−1−i32−1−i32−1−i32−1−i321+i3000
χ462222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-100000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i3200000000
χ472222-1-1-1-100222222-2-2-1-11111-1-1-1-1-21100000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i3−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i3−1−i32−1−i3200000000
χ482-22-222-2-22i−2i00-11-112−20022−2−2-111-1000ii−i−i0−i2i20−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i32ζ14−2ζ14001−i32−1+i321−i32−1+i32ζ5−ζ23−ζ5+ζ2300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i32−1+i32−1+i321−i32000ζ14ζ14−ζ14−ζ140ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i32ζ22−2ζ22001+i32−1−i321+i32−1−i32−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i32−1−i32−1−i321+i32000ζ22ζ22−ζ22−ζ220ζ7+ζ13−ζ7−ζ130
χ492-22-222-2-22i−2i00-11-11−2200−2−222-111-1000ii−i−i0i2−i20−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i32ζ14−2ζ14001−i32−1+i321−i32−1+i32−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i32−1+i32−1+i321−i32000ζ14ζ14−ζ14−ζ140−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i32ζ22−2ζ22001+i32−1−i321+i32−1−i32ζ7−ζ13−ζ7+ζ1300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i32−1−i32−1−i321+i32000ζ22ζ22−ζ22−ζ220−ζ7−ζ13ζ7+ζ130
χ502-22-222-2-2−2i2i00-11-112−20022−2−2-111-1000−i−iii0i2−i20−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−2ζ142ζ14001−i32−1+i321−i32−1+i32ζ5−ζ23−ζ5+ζ2300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i32−1+i32−1+i321−i32000−ζ14−ζ14ζ14ζ140−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−2ζ222ζ22001+i32−1−i321+i32−1−i32−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i32−1−i32−1−i321+i32000−ζ22−ζ22ζ22ζ220−ζ7−ζ13ζ7+ζ130
χ512-22-222-2-2−2i2i00-11-11−2200−2−222-111-1000−i−iii0−i2i20−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−2ζ142ζ14001−i32−1+i321−i32−1+i32−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i32−1+i32−1+i321−i32000−ζ14−ζ14ζ14ζ140ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−2ζ222ζ22001+i32−1−i321+i32−1−i32ζ7−ζ13−ζ7+ζ1300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i32−1−i32−1−i321+i32000−ζ22−ζ22ζ22ζ220ζ7+ζ13−ζ7−ζ130
χ522-2-222-2-2200-2222-2-200-22000022-2-200000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i30000−1+i3−1+i31−i31−i300000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i30000−1−i3−1−i31+i31+i300000000000
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χ5933333333-3-3-1-1000011-1-111110000-1-1-100001-1-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i321−i321−i320000−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i321+i321+i320000−1−i321+i321+i32−1−i32
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χ614444-2-2-2-20044-2-2-2-200-2-20000111100000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i300−2+2i3−2+2i31−i31−i31−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i3200000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i300−2−2i3−2−2i31+i31+i31+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i3200000000000
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χ674-44-444-4-44i−4i001-11-1000000001-1-11000−i−iii0000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i34ζ14−4ζ1400−1+i321−i32−1+i321−i3200000000−1+i321−i321−i32−1+i32000−ζ14−ζ14ζ14ζ140000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i34ζ22−4ζ2200−1−i321+i32−1−i321+i3200000000−1−i321+i321+i32−1−i32000−ζ22−ζ22ζ22ζ220000
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χ704-44-4-2-2220000-22-22−22220022−2−21-1-1100000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i3−2ζ5+2ζ232ζ5−2ζ2300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i321−i321−i32−1+i3200000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i32ζ7−2ζ13−2ζ7+2ζ1300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i321+i321+i32−1−i3200000000000
χ714-4-44-222-200-44-2-222002-2000011-1-100000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i3002−2i3−2+2i31−i31−i3−1+i3−1+i300−1+i31−i30000−1+i32−1+i321−i321−i3200000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i3002+2i3−2−2i31+i31+i3−1−i3−1−i300−1−i31+i30000−1−i32−1−i321+i321+i3200000000000
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χ8111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ8211111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ83222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000−1−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+i3200−1−i3−1−i300001+i321+i321+i321+i320001+i321+i321+i321+i32−1−i3000−1+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−i3200−1+i3−1+i300001−i321−i321−i321−i320001−i321−i321−i321−i32−1+i3000
χ8422222222-2-222-1-1-1-100220000-1-1-1-10001111-2000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i300001+i321+i321+i321+i32000−1−i32−1−i32−1−i32−1−i321+i3000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i300001−i321−i321−i321−i32000−1+i32−1+i32−1+i32−1+i321−i3000
χ852222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i3200000000
χ862222-1-1-1-100222222-2-2-1-11111-1-1-1-1-21100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i3−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i3−1+i32−1+i3200000000
χ872-22-222-2-22i−2i00-11-112−20022−2−2-111-1000ii−i−i0−i2i20−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i32ζ22−2ζ22001+i32−1−i321+i32−1−i32−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i32−1−i32−1−i321+i32000ζ22ζ22−ζ22−ζ220ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i32ζ14−2ζ14001−i32−1+i321−i32−1+i32ζ5−ζ23−ζ5+ζ2300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i32−1+i32−1+i321−i32000ζ14ζ14−ζ14−ζ140ζ5+ζ23−ζ5−ζ230
χ882-22-222-2-22i−2i00-11-11−2200−2−222-111-1000ii−i−i0i2−i20−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i32ζ22−2ζ22001+i32−1−i321+i32−1−i32ζ7−ζ13−ζ7+ζ1300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i32−1−i32−1−i321+i32000ζ22ζ22−ζ22−ζ220−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i32ζ14−2ζ14001−i32−1+i321−i32−1+i32−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i32−1+i32−1+i321−i32000ζ14ζ14−ζ14−ζ140−ζ5−ζ23ζ5+ζ230
χ892-22-222-2-2−2i2i00-11-112−20022−2−2-111-1000−i−iii0i2−i20−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−2ζ222ζ22001+i32−1−i321+i32−1−i32−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i32−1−i32−1−i321+i32000−ζ22−ζ22ζ22ζ220−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−2ζ142ζ14001−i32−1+i321−i32−1+i32ζ5−ζ23−ζ5+ζ2300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i32−1+i32−1+i321−i32000−ζ14−ζ14ζ14ζ140−ζ5−ζ23ζ5+ζ230
χ902-22-222-2-2−2i2i00-11-11−2200−2−222-111-1000−i−iii0−i2i20−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−2ζ222ζ22001+i32−1−i321+i32−1−i32ζ7−ζ13−ζ7+ζ1300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i32−1−i32−1−i321+i32000−ζ22−ζ22ζ22ζ220ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−2ζ142ζ14001−i32−1+i321−i32−1+i32−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i32−1+i32−1+i321−i32000−ζ14−ζ14ζ14ζ140ζ5+ζ23−ζ5−ζ230
χ912-2-222-2-2200-2222-2-200-22000022-2-200000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i30000−1−i3−1−i31+i31+i300000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i30000−1+i3−1+i31−i31−i300000000000
χ922-2-222-2-2200-22-1-11100-220000-1-1110003−33−30000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i321+i32−1−i32−1−i32001+i3−1−i300001+i321+i32−1−i32−1−i320002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i321−i32−1+i32−1+i32001−i3−1+i300001−i321−i32−1+i32−1+i32000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ932-2-222-2-2200-22-1-11100-220000-1-111000−33−330000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i321+i32−1−i32−1−i32001+i3−1−i300001+i321+i32−1−i32−1−i32000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i321−i32−1+i32−1+i32001−i3−1+i300001−i321−i32−1+i32−1+i32000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000
χ942-2-22-111-100-2222-2-2001-1−i3i3−i3i3-1-1110−i3i300000000−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32001+i3−1−i3−1−i3−1−i31+i31+i300−1−i321+i32−3+i323−i32−3+i323−i321+i321+i32−1−i32−1−i320−3+i323−i3200000000−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32001−i3−1+i3−1+i3−1+i31−i31−i300−1+i321−i323+i32−3−i323+i32−3−i321−i321−i32−1+i32−1+i3203+i32−3−i3200000000
χ952-2-22-111-100-2222-2-2001-1i3−i3i3−i3-1-1110i3−i300000000−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32001+i3−1−i3−1−i3−1−i31+i31+i300−1−i321+i323−i32−3+i323−i32−3+i321+i321+i32−1−i32−1−i3203−i32−3+i3200000000−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32001−i3−1+i3−1+i3−1+i31−i31−i300−1+i321−i32−3−i323+i32−3−i323+i321−i321−i32−1+i32−1+i320−3−i323+i3200000000
χ963333333333-1-1000011-1-111110000-1-1-10000-111-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i321+i321+i3200001+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i321−i321−i3200001−i32−1+i32−1+i321−i32
χ973333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-11−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i3200001+i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i3200001−i321−i321−i32−1+i32
χ9833333333-3-3-1-1000011-1-111110000-1-1-100001-1-11−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i321+i321+i320000−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i321−i321−i320000−1+i321−i321−i32−1+i32
χ9933333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200001+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i320000−1−i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200001−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i320000−1+i32−1+i32−1+i321−i32
χ1004444-2-2-2-20044-2-2-2-200-2-20000111100000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i300−2−2i3−2−2i31+i31+i31+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i3200000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i300−2+2i3−2+2i31−i31−i31−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i3200000000000
χ10144-4-44-44-400001-1-11000000001-11-1000−i3i3i3−i30000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i30000−1−i321+i321+i32−1−i3200000000−1−i321+i32−1−i321+i32000−3+i323−i323−i32−3+i320000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i30000−1+i321−i321−i32−1+i3200000000−1+i321−i32−1+i321−i320003+i32−3−i32−3−i323+i320000
χ10244-4-44-44-400001-1-11000000001-11-1000i3−i3−i3i30000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i30000−1−i321+i321+i32−1−i3200000000−1−i321+i32−1−i321+i320003−i32−3+i32−3+i323−i320000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i30000−1+i321−i321−i32−1+i3200000000−1+i321−i32−1+i321−i32000−3−i323+i323+i32−3−i320000
χ10344-4-44-44-40000-222-200000000-22-2200000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i300001+i3−1−i3−1−i31+i3000000001+i3−1−i31+i3−1−i300000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i300001−i3−1+i3−1+i31−i3000000001−i3−1+i31−i3−1+i300000000000
χ10444-4-4-22-220000-222-20000i6−i6−i6i61-11-100000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i31+i3−1−i300001+i3−1−i3−1−i31+i30000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−1−i321+i32−1−i321+i3200000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i31−i3−1+i300001−i3−1+i3−1+i31−i30000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−1+i321−i32−1+i321−i3200000000000
χ10544-4-4-22-220000-222-20000−i6i6i6−i61-11-100000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i31+i3−1−i300001+i3−1−i3−1−i31+i300002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−1−i321+i32−1−i321+i3200000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i31−i3−1+i300001−i3−1+i3−1+i31−i30000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−1+i321−i32−1+i321−i3200000000000
χ1064-44-444-4-44i−4i001-11-1000000001-1-11000−i−iii0000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i34ζ22−4ζ2200−1−i321+i32−1−i321+i3200000000−1−i321+i321+i32−1−i32000−ζ22−ζ22ζ22ζ220000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i34ζ14−4ζ1400−1+i321−i32−1+i321−i3200000000−1+i321−i321−i32−1+i32000−ζ14−ζ14ζ14ζ140000
χ1074-44-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i0000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3−4ζ224ζ2200−1−i321+i32−1−i321+i3200000000−1−i321+i321+i32−1−i32000ζ22ζ22−ζ22−ζ220000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3−4ζ144ζ1400−1+i321−i32−1+i321−i3200000000−1+i321−i321−i32−1+i32000ζ14ζ14−ζ14−ζ140000
χ1084-44-4-2-2220000-22-2222−2200−2−2221-1-1100000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i3−2ζ7+2ζ132ζ7−2ζ1300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i321+i321+i32−1−i3200000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i32ζ5−2ζ23−2ζ5+2ζ2300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i321−i321−i32−1+i3200000000000
χ1094-44-4-2-2220000-22-22−22220022−2−21-1-1100000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i32ζ7−2ζ13−2ζ7+2ζ1300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i321+i321+i32−1−i3200000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i3−2ζ5+2ζ232ζ5−2ζ2300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i321−i321−i32−1+i3200000000000
χ1104-4-44-222-200-44-2-222002-2000011-1-100000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i3002+2i3−2−2i31+i31+i3−1−i3−1−i300−1−i31+i30000−1−i32−1−i321+i321+i3200000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i3002−2i3−2+2i31−i31−i3−1+i3−1+i300−1+i31−i30000−1+i32−1+i321−i321−i3200000000000
χ1116666-3-3-3-300-2-200002211-1-1-1-10000-21100000000−3−3i3−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i32001+i31+i30000−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i3200001+i3−1−i32−1−i3200000000−3+3i3−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i32001−i31−i30000−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i3200001−i3−1+i32−1+i3200000000
χ1126666-3-3-3-300-2-20000-2-211111100002-1-100000000−3−3i3−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i32001+i31+i300001+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i31+i321+i3200000000−3+3i3−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i32001−i31−i300001−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i31−i321−i3200000000
χ1136-6-666-6-66002-20000002-20000000000000000000−3−3i33+3i33+3i3−3−3i3−3−3i33+3i33+3i3−3−3i300−1−i31+i3000000−1−i31+i30000000000000000000−3+3i33−3i33−3i3−3+3i3−3+3i33−3i33−3i3−3+3i300−1+i31−i3000000−1+i31−i30000000000000000000
χ1146-6-66-333-3002-2000000-11−i3i3−i3i300000i3−i300000000−3−3i33+3i33+3i3−3−3i33+3i32−3−3i32−3−3i323+3i3200−1−i31+i30000001+i32−1−i32−3+i323−i32−3+i323−i32000003−i32−3+i3200000000−3+3i33−3i33−3i3−3+3i33−3i32−3+3i32−3+3i323−3i3200−1+i31−i30000001−i32−1+i323+i32−3−i323+i32−3−i3200000−3−i323+i3200000000
χ1156-6-66-333-3002-2000000-11i3−i3i3−i300000−i3i300000000−3−3i33+3i33+3i3−3−3i33+3i32−3−3i32−3−3i323+3i3200−1−i31+i30000001+i32−1−i323−i32−3+i323−i32−3+i3200000−3+i323−i3200000000−3+3i33−3i33−3i3−3+3i33−3i32−3+3i32−3+3i323−3i3200−1+i31−i30000001−i32−1+i32−3−i323+i32−3−i323+i32000003+i32−3−i3200000000
χ11688-8-8-44-4400002-2-2200000000-11-1100000000000−4−4i3−4−4i34+4i34+4i32+2i3−2−2i32+2i3−2−2i30000−1−i31+i31+i3−1−i3000000001+i32−1−i321+i32−1−i3200000000000−4+4i3−4+4i34−4i34−4i32−2i3−2+2i32−2i3−2+2i30000−1+i31−i31−i3−1+i3000000001−i32−1+i321−i32−1+i3200000000000
χ1178-88-8-4-44400002-22-200000000-111-100000000000−4−4i34+4i3−4−4i34+4i32+2i32+2i3−2−2i3−2−2i30000−1−i31+i3−1−i31+i3000000001+i32−1−i32−1−i321+i3200000000000−4+4i34−4i3−4+4i34−4i32−2i32−2i3−2+2i3−2+2i30000−1+i31−i3−1+i31−i3000000001−i32−1+i32−1+i321−i3200000000000

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