Finite Group Databasebeta

← Group #13166699

Character table — Group #13166699

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111144444444488881818242424242424242424242424363636363611114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order1222334666666121212124424446612121212121248888366633126666661212121212126121212661212121212121224242424366633126666661212121212126121212661212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-11-1-1-1-111111111111111111111-1-111111-1-1-1-11-1-1-1-111111111111111111111-1-111111-1-1-1-11-1-1-1-1
χ31111111111111111111-111-1-1-1-1-111111-1-1-1-11111111111111111111-111-1-1-1-1-111111-1-1-1-11111111111111111111-111-1-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-222202-2-2-22-200002-20000000000000002i−2i2-2-222202-2-2-22-200002-20000000000000002i−2i2-2-222202-2-2-22-200002-20000000000000002i−2i
χ122-2-222202-2-2-22-200002-2000000000000000−2i2i2-2-222202-2-2-22-200002-2000000000000000−2i2i2-2-222202-2-2-22-200002-2000000000000000−2i2i
χ132-2-222202-2-2-22-20000-2200000000000002i−2i002-2-222202-2-2-22-20000-2200000000000002i−2i002-2-222202-2-2-22-20000-2200000000000002i−2i00
χ142-2-222202-2-2-22-20000-220000000000000−2i2i002-2-222202-2-2-22-20000-220000000000000−2i2i002-2-222202-2-2-22-20000-220000000000000−2i2i00
χ1544441-2411-2-2-21-2-2110002200000-1-1-1-10000044441-2411-2-2-21-2-2110002200000-1-1-1-10000044441-2411-2-2-21-2-2110002200000-1-1-1-100000
χ1644441-2411-2-2-21-2-211000-2-20000011110000044441-2411-2-2-21-2-211000-2-20000011110000044441-2411-2-2-21-2-211000-2-200000111100000
χ1744441-2-411-2-2-2122-1-10002-200000-1-1110000044441-2-411-2-2-2122-1-10002-200000-1-1110000044441-2-411-2-2-2122-1-10002-200000-1-11100000
χ1844441-2-411-2-2-2122-1-1000-220000011-1-10000044441-2-411-2-2-2122-1-1000-220000011-1-10000044441-2-411-2-2-2122-1-1000-220000011-1-100000
χ194444-214-2-2111-211-2-2002002-1-1-1-10000000004444-214-2-2111-211-2-2002002-1-1-1-10000000004444-214-2-2111-211-2-2002002-1-1-1-1000000000
χ204444-214-2-2111-211-2-200-200-211110000000004444-214-2-2111-211-2-200-200-211110000000004444-214-2-2111-211-2-200-200-21111000000000
χ214444-21-4-2-2111-2-1-12200200-2-1-1110000000004444-21-4-2-2111-2-1-12200200-2-1-1110000000004444-21-4-2-2111-2-1-12200200-2-1-111000000000
χ224444-21-4-2-2111-2-1-12200-200211-1-10000000004444-21-4-2-2111-2-1-12200-200211-1-10000000004444-21-4-2-2111-2-1-12200-200211-1-1000000000
χ2344-4-4440-444-4-4-40000000000000000000000044-4-4440-444-4-4-40000000000000000000000044-4-4440-444-4-4-400000000000000000000000
χ2444-4-4-2102-21-1-123i−3i00000000−i3i33−300000000044-4-4-2102-21-1-123i−3i00000000−i3i33−300000000044-4-4-2102-21-1-123i−3i00000000−i3i33−3000000000
χ2544-4-4-2102-21-1-123i−3i00000000i3−i3−3300000000044-4-4-2102-21-1-123i−3i00000000i3−i3−3300000000044-4-4-2102-21-1-123i−3i00000000i3−i3−33000000000
χ2644-4-4-2102-21-1-12−3i3i00000000−i3i3−3300000000044-4-4-2102-21-1-12−3i3i00000000−i3i3−3300000000044-4-4-2102-21-1-12−3i3i00000000−i3i3−33000000000
χ2744-4-4-2102-21-1-12−3i3i00000000i3−i33−300000000044-4-4-2102-21-1-12−3i3i00000000i3−i33−300000000044-4-4-2102-21-1-12−3i3i00000000i3−i33−3000000000
χ284-44-41-20-1-12-221003-30000000000−i3i3−i3i3000004-44-41-20-1-12-221003-30000000000−i3i3−i3i3000004-44-41-20-1-12-221003-30000000000−i3i3−i3i300000
χ294-44-41-20-1-12-221003-30000000000i3−i3i3−i3000004-44-41-20-1-12-221003-30000000000i3−i3i3−i3000004-44-41-20-1-12-221003-30000000000i3−i3i3−i300000
χ304-44-41-20-1-12-22100-330000000000−i3i3i3−i3000004-44-41-20-1-12-22100-330000000000−i3i3i3−i3000004-44-41-20-1-12-22100-330000000000−i3i3i3−i300000
χ314-44-41-20-1-12-22100-330000000000i3−i3−i3i3000004-44-41-20-1-12-22100-330000000000i3−i3−i3i3000004-44-41-20-1-12-22100-330000000000i3−i3−i3i300000
χ324-44-4440-4-4-44-44000000000000000000000004-44-4440-4-4-44-44000000000000000000000004-44-4440-4-4-44-4400000000000000000000000
χ3388-8-82-40-22-444-20000000000000000000000088-8-82-40-22-444-20000000000000000000000088-8-82-40-22-444-200000000000000000000000
χ348-88-8-42044-22-2-4000000000000000000000008-88-8-42044-22-2-4000000000000000000000008-88-8-42044-22-2-400000000000000000000000
χ358-8-882-402-244-4-2000000000000000000000008-8-882-402-244-4-2000000000000000000000008-8-882-402-244-4-200000000000000000000000
χ368-8-88-420-44-2-224000000000000000000000008-8-88-420-44-2-224000000000000000000000008-8-88-420-44-2-22400000000000000000000000
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
χ3811111111111111111111-1-111111-1-1-1-11-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ391111111111111111111-111-1-1-1-1-111111-1-1-1-1−1+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+i321−i32−1+i32−1+i321−i321−i321−i321−i321−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−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ42111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ43111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ44111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ4522222222222222222-2-2000000000000-20000−1+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+i3−1+i31−i31−i30000000000001−i30000−1−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−i3−1−i31+i31+i30000000000001+i30000
χ46222222-2222222-2-2-2-2-2-200000000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000−1−i30000
χ472-2-222202-2-2-22-200002-20000000000000002i−2i−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i30000−1+i31−i30000000000000002ζ7−2ζ7−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i30000−1−i31+i30000000000000002ζ11−2ζ11
χ482-2-222202-2-2-22-200002-2000000000000000−2i2i−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i30000−1+i31−i3000000000000000−2ζ72ζ7−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i30000−1−i31+i3000000000000000−2ζ112ζ11
χ492-2-222202-2-2-22-20000-2200000000000002i−2i00−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i300000000000002ζ7−2ζ700−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i300000000000002ζ11−2ζ1100
χ502-2-222202-2-2-22-20000-220000000000000−2i2i00−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i30000000000000−2ζ72ζ700−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i30000000000000−2ζ112ζ1100
χ5144441-2411-2-2-21-2-2110002200000-1-1-1-100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i32−1+i321−i31−i31−i3−1+i321−i31−i3−1+i32−1+i32000−1+i3−1+i3000001−i321−i321−i321−i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i32−1−i321+i31+i31+i3−1−i321+i31+i3−1−i32−1−i32000−1−i3−1−i3000001+i321+i321+i321+i3200000
χ5244441-2411-2-2-21-2-211000-2-200000111100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i32−1+i321−i31−i31−i3−1+i321−i31−i3−1+i32−1+i320001−i31−i300000−1+i32−1+i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i32−1−i321+i31+i31+i3−1−i321+i31+i3−1−i32−1−i320001+i31+i300000−1−i32−1−i32−1−i32−1−i3200000
χ5344441-2-411-2-2-2122-1-10002-200000-1-11100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i31−i321−i32000−1+i31−i3000001−i321−i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i31+i321+i32000−1−i31+i3000001+i321+i32−1−i32−1−i3200000
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χ554444-214-2-2111-211-2-2002002-1-1-1-1000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i31−i300−1+i300−1+i31−i321−i321−i321−i32000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i31+i300−1−i300−1−i31+i321+i321+i321+i32000000000
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χ9044441-2-411-2-2-2122-1-1000-220000011-1-100000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i31+i321+i320001+i3−1−i300000−1−i32−1−i321+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i31−i321−i320001−i3−1+i300000−1+i32−1+i321−i321−i3200000
χ914444-214-2-2111-211-2-2002002-1-1-1-1000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i31+i300−1−i300−1−i31+i321+i321+i321+i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i31−i300−1+i300−1+i31−i321−i321−i321−i32000000000
χ924444-214-2-2111-211-2-200-200-21111000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i31+i3001+i3001+i3−1−i32−1−i32−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i31−i3001−i3001−i3−1+i32−1+i32−1+i32−1+i32000000000
χ934444-21-4-2-2111-2-1-12200200-2-1-111000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i3−1−i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i300−1−i3001+i31+i321+i32−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i3−1+i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i300−1+i3001−i31−i321−i32−1+i32−1+i32000000000
χ944444-21-4-2-2111-2-1-12200-200211-1-1000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i3−1−i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i3001+i300−1−i3−1−i32−1−i321+i321+i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i3−1+i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i3001−i300−1+i3−1+i32−1+i321−i321−i32000000000
χ9544-4-4440-444-4-4-400000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i302+2i3−2−2i3−2−2i32+2i32+2i32+2i300000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i302−2i3−2+2i3−2+2i32−2i32−2i32−2i300000000000000000000000
χ9644-4-4-2102-21-1-123i−3i00000000−i3i33−3000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i3−1−i321+i321+i32−1−i33ζ11−3ζ1100000000−3+i323−i322ζ7+ζ11−2ζ7−ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i3−1+i321−i321−i32−1+i33ζ7−3ζ7000000003+i32−3−i32−ζ7−2ζ11ζ7+2ζ11000000000
χ9744-4-4-2102-21-1-123i−3i00000000i3−i3−33000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i3−1−i321+i321+i32−1−i33ζ11−3ζ11000000003−i32−3+i32−2ζ7−ζ112ζ7+ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i3−1+i321−i321−i32−1+i33ζ7−3ζ700000000−3−i323+i32ζ7+2ζ11−ζ7−2ζ11000000000
χ9844-4-4-2102-21-1-12−3i3i00000000−i3i3−33000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i3−1−i321+i321+i32−1−i3−3ζ113ζ1100000000−3+i323−i32−2ζ7−ζ112ζ7+ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i3−1+i321−i321−i32−1+i3−3ζ73ζ7000000003+i32−3−i32ζ7+2ζ11−ζ7−2ζ11000000000
χ9944-4-4-2102-21-1-12−3i3i00000000i3−i33−3000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i3−1−i321+i321+i32−1−i3−3ζ113ζ11000000003−i32−3+i322ζ7+ζ11−2ζ7−ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i3−1+i321−i321−i32−1+i3−3ζ73ζ700000000−3−i323+i32−ζ7−2ζ11ζ7+2ζ11000000000
χ1004-44-41-20-1-12-221003-30000000000−i3i3−i3i300000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i3200−3−3i323+3i320000000000−3+i323−i32−3+i323−i3200000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i3200−3+3i323−3i3200000000003+i32−3−i323+i32−3−i3200000
χ1014-44-41-20-1-12-221003-30000000000i3−i3i3−i300000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i3200−3−3i323+3i3200000000003−i32−3+i323−i32−3+i3200000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i3200−3+3i323−3i320000000000−3−i323+i32−3−i323+i3200000
χ1024-44-41-20-1-12-22100-330000000000−i3i3i3−i300000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i32003+3i32−3−3i320000000000−3+i323−i323−i32−3+i3200000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i32003−3i32−3+3i3200000000003+i32−3−i32−3−i323+i3200000
χ1034-44-41-20-1-12-22100-330000000000i3−i3−i3i300000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i32003+3i32−3−3i3200000000003−i32−3+i32−3+i323−i3200000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i32003−3i32−3+3i320000000000−3−i323+i323+i32−3−i3200000
χ1044-44-4440-4-4-44-4400000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i302+2i32+2i32+2i3−2−2i32+2i3−2−2i300000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i302−2i32−2i32−2i3−2+2i32−2i3−2+2i300000000000000000000000
χ10588-8-82-40-22-444-200000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i301+i3−1−i32+2i3−2−2i3−2−2i31+i300000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i301−i3−1+i32−2i3−2+2i3−2+2i31−i300000000000000000000000
χ1068-88-8-42044-22-2-400000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i3−2−2i31+i3−1−i31+i32+2i300000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i3−2+2i31−i3−1+i31−i32−2i300000000000000000000000
χ1078-8-882-402-244-4-200000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i30−1−i31+i3−2−2i3−2−2i32+2i31+i300000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i30−1+i31−i3−2+2i3−2+2i32−2i31−i300000000000000000000000
χ1088-8-88-420-44-2-22400000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i302+2i3−2−2i31+i31+i3−1−i3−2−2i300000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i302−2i3−2+2i31−i31−i3−1+i3−2+2i300000000000000000000000

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