Finite Group Databasebeta

← Group #13166888

Character table — Group #13166888

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111144444444488881818242424242424242424242424363636363611114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order122223366666666664422446666121212124888836666336666666666121266121266661212121212242424243666633666666666612126612126666121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-11-111-1-111-1-11-1-1-1-111111111111111111111-11-111-1-111-1-11-1-1-1-111111111111111111111-11-111-1-111-1-11-1-1-1-1
χ31111111111111111111-11-11-1-111-1-1111-1-1-1-11111111111111111111-11-11-1-111-1-1111-1-1-1-11111111111111111111-11-11-1-111-1-1111-1-1-1-1
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
χ51111-111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-11111-111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-11111-111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1
χ61111-111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-1111111-111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-1111111-111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111
χ71111-111111111-1-1-1-111-111-1-1-11111-1-1-1-1-1111111-111111111-1-1-1-111-111-1-1-11111-1-1-1-1-1111111-111111111-1-1-1-111-111-1-1-11111-1-1-1-1-111
χ81111-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-11111-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-11111-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ102222-222222222-2-2-2-2-2-2000000000000200002222-222222222-2-2-2-2-2-2000000000000200002222-222222222-2-2-2-2-2-200000000000020000
χ112-2-2202222-2-2-2-200002-20000000000000002i−2i2-2-2202222-2-2-2-200002-20000000000000002i−2i2-2-2202222-2-2-2-200002-20000000000000002i−2i
χ122-2-2202222-2-2-2-200002-2000000000000000−2i2i2-2-2202222-2-2-2-200002-2000000000000000−2i2i2-2-2202222-2-2-2-200002-2000000000000000−2i2i
χ132-2-2202222-2-2-2-20000-2200000000000002-2002-2-2202222-2-2-2-20000-2200000000000002-2002-2-2202222-2-2-2-20000-2200000000000002-200
χ142-2-2202222-2-2-2-20000-220000000000000-22002-2-2202222-2-2-2-20000-220000000000000-22002-2-2202222-2-2-2-20000-220000000000000-2200
χ15444441-21-21-21-211-2-200020200-1-100-1-100000444441-21-21-21-211-2-200020200-1-100-1-100000444441-21-21-21-211-2-200020200-1-100-1-100000
χ16444441-21-21-21-211-2-2000-20-20011001100000444441-21-21-21-211-2-2000-20-20011001100000444441-21-21-21-211-2-2000-20-20011001100000
χ1744444-21-21-21-21-2-211002020-1-100-1-1000000044444-21-21-21-21-2-211002020-1-100-1-1000000044444-21-21-21-21-2-211002020-1-100-1-10000000
χ1844444-21-21-21-21-2-21100-20-20110011000000044444-21-21-21-21-2-21100-20-20110011000000044444-21-21-21-21-2-21100-20-201100110000000
χ194444-41-21-21-21-2-1-12200020-200-1-10011000004444-41-21-21-21-2-1-12200020-200-1-10011000004444-41-21-21-21-2-1-12200020-200-1-1001100000
χ204444-41-21-21-21-2-1-122000-202001100-1-1000004444-41-21-21-21-2-1-122000-202001100-1-1000004444-41-21-21-21-2-1-122000-202001100-1-100000
χ214444-4-21-21-21-2122-1-10020-20-1-1001100000004444-4-21-21-21-2122-1-10020-20-1-1001100000004444-4-21-21-21-2122-1-10020-20-1-100110000000
χ224444-4-21-21-21-2122-1-100-20201100-1-100000004444-4-21-21-21-2122-1-100-20201100-1-100000004444-4-21-21-21-2122-1-100-20201100-1-10000000
χ2344-4-401-2-12-1-2123-30000000000−i3i300−i3i30000044-4-401-2-12-1-2123-30000000000−i3i300−i3i30000044-4-401-2-12-1-2123-30000000000−i3i300−i3i300000
χ2444-4-401-2-12-1-2123-30000000000i3−i300i3−i30000044-4-401-2-12-1-2123-30000000000i3−i300i3−i30000044-4-401-2-12-1-2123-30000000000i3−i300i3−i300000
χ2544-4-401-2-12-1-212-330000000000−i3i300i3−i30000044-4-401-2-12-1-212-330000000000−i3i300i3−i30000044-4-401-2-12-1-212-330000000000−i3i300i3−i300000
χ2644-4-401-2-12-1-212-330000000000i3−i300−i3i30000044-4-401-2-12-1-212-330000000000i3−i300−i3i30000044-4-401-2-12-1-212-330000000000i3−i300−i3i300000
χ2744-4-4044-4-4-444-40000000000000000000000044-4-4044-4-4-444-40000000000000000000000044-4-4044-4-4-444-400000000000000000000000
χ284-44-4044-4-44-4-44000000000000000000000004-44-4044-4-44-4-44000000000000000000000004-44-4044-4-44-4-4400000000000000000000000
χ294-44-40-212-1-2-121003-3000000−i3i300−i3i300000004-44-40-212-1-2-121003-3000000−i3i300−i3i300000004-44-40-212-1-2-121003-3000000−i3i300−i3i30000000
χ304-44-40-212-1-2-121003-3000000i3−i300i3−i300000004-44-40-212-1-2-121003-3000000i3−i300i3−i300000004-44-40-212-1-2-121003-3000000i3−i300i3−i30000000
χ314-44-40-212-1-2-12100-33000000−i3i300i3−i300000004-44-40-212-1-2-12100-33000000−i3i300i3−i300000004-44-40-212-1-2-12100-33000000−i3i300i3−i30000000
χ324-44-40-212-1-2-12100-33000000i3−i300−i3i300000004-44-40-212-1-2-12100-33000000i3−i300−i3i300000004-44-40-212-1-2-12100-33000000i3−i300−i3i30000000
χ3388-8-80-424-242-4-20000000000000000000000088-8-80-424-242-4-20000000000000000000000088-8-80-424-242-4-200000000000000000000000
χ348-88-802-4-2424-2-4000000000000000000000008-88-802-4-2424-2-4000000000000000000000008-88-802-4-2424-2-400000000000000000000000
χ358-8-8802-42-4-24-24000000000000000000000008-8-8802-42-4-24-24000000000000000000000008-8-8802-42-4-24-2400000000000000000000000
χ368-8-880-42-424-24-2000000000000000000000008-8-880-42-424-24-2000000000000000000000008-8-880-42-424-24-200000000000000000000000
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
χ3811111111111111111111-11-111-1-111-1-11-1-1-1-1−1+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−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ391111111111111111111-11-11-1-111-1-1111-1-1-1-1−1+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+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
χ411111-111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ421111-111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i32−1+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−i321+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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ431111-111111111-1-1-1-111-111-1-1-11111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−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−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ441111-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−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+i321+i321+i32−1−i32−1−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
χ462222-222222222-2-2-2-2-2-200000000000020000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+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−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000−1−i30000
χ472-2-2202222-2-2-2-200002-20000000000000002i−2i−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i30000000000000002ζ7−2ζ7−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i30000000000000002ζ11−2ζ11
χ482-2-2202222-2-2-2-200002-2000000000000000−2i2i−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3000000000000000−2ζ72ζ7−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3000000000000000−2ζ112ζ11
χ492-2-2202222-2-2-2-20000-2200000000000002-200−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i30000000000000−1+i31−i300−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i30000000000000−1−i31+i300
χ502-2-2202222-2-2-2-20000-220000000000000-2200−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i300000000000001−i3−1+i300−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i300000000000001+i3−1−i300
χ51444441-21-21-21-211-2-200020200-1-100-1-100000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3000−1+i30−1+i3001−i321−i32001−i321−i3200000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3000−1−i30−1−i3001+i321+i32001+i321+i3200000
χ52444441-21-21-21-211-2-2000-20-20011001100000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i30001−i301−i300−1+i32−1+i3200−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30001+i301+i300−1−i32−1−i3200−1−i32−1−i3200000
χ5344444-21-21-21-21-2-211002020-1-100-1-10000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i3200−1+i30−1+i301−i321−i32001−i321−i320000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i3200−1−i30−1−i301+i321+i32001+i321+i320000000
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χ554444-41-21-21-21-2-1-12200020-200-1-1001100000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3000−1+i301−i3001−i321−i3200−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3000−1−i301+i3001+i321+i3200−1−i32−1−i3200000
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χ9044444-21-21-21-21-2-21100-20-201100110000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32001+i301+i30−1−i32−1−i3200−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32001−i301−i30−1+i32−1+i3200−1+i32−1+i320000000
χ914444-41-21-21-21-2-1-12200020-200-1-1001100000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3000−1−i301+i3001+i321+i3200−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3000−1+i301−i3001−i321−i3200−1+i32−1+i3200000
χ924444-41-21-21-21-2-1-122000-202001100-1-100000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30001+i30−1−i300−1−i32−1−i32001+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i30001−i30−1+i300−1+i32−1+i32001−i321−i3200000
χ934444-4-21-21-21-2122-1-10020-20-1-100110000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i3200−1−i301+i301+i321+i3200−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i3200−1+i301−i301−i321−i3200−1+i32−1+i320000000
χ944444-4-21-21-21-2122-1-100-20201100-1-10000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32001+i30−1−i30−1−i32−1−i32001+i321+i320000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32001−i30−1+i30−1+i32−1+i32001−i321−i320000000
χ9544-4-401-2-12-1-2123-30000000000−i3i300−i3i300000−2−2i3−2−2i32+2i32+2i30−1−i321+i31+i32−1−i31+i321+i3−1−i32−1−i3−3−3i323+3i320000000000−3+i323−i3200−3+i323−i3200000−2+2i3−2+2i32−2i32−2i30−1+i321−i31−i32−1+i31−i321−i3−1+i32−1+i3−3+3i323−3i3200000000003+i32−3−i32003+i32−3−i3200000
χ9644-4-401-2-12-1-2123-30000000000i3−i300i3−i300000−2−2i3−2−2i32+2i32+2i30−1−i321+i31+i32−1−i31+i321+i3−1−i32−1−i3−3−3i323+3i3200000000003−i32−3+i32003−i32−3+i3200000−2+2i3−2+2i32−2i32−2i30−1+i321−i31−i32−1+i31−i321−i3−1+i32−1+i3−3+3i323−3i320000000000−3−i323+i3200−3−i323+i3200000
χ9744-4-401-2-12-1-212-330000000000−i3i300i3−i300000−2−2i3−2−2i32+2i32+2i30−1−i321+i31+i32−1−i31+i321+i3−1−i32−1−i33+3i32−3−3i320000000000−3+i323−i32003−i32−3+i3200000−2+2i3−2+2i32−2i32−2i30−1+i321−i31−i32−1+i31−i321−i3−1+i32−1+i33−3i32−3+3i3200000000003+i32−3−i3200−3−i323+i3200000
χ9844-4-401-2-12-1-212-330000000000i3−i300−i3i300000−2−2i3−2−2i32+2i32+2i30−1−i321+i31+i32−1−i31+i321+i3−1−i32−1−i33+3i32−3−3i3200000000003−i32−3+i3200−3+i323−i3200000−2+2i3−2+2i32−2i32−2i30−1+i321−i31−i32−1+i31−i321−i3−1+i32−1+i33−3i32−3+3i320000000000−3−i323+i32003+i32−3−i3200000
χ9944-4-4044-4-4-444-400000000000000000000000−2−2i3−2−2i32+2i32+2i30−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000000−2+2i3−2+2i32−2i32−2i30−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000000
χ1004-44-4044-4-44-4-4400000000000000000000000−2−2i32+2i3−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i300000000000000000000000−2+2i32−2i3−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i300000000000000000000000
χ1014-44-40-212-1-2-121003-3000000−i3i300−i3i30000000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i3−1−i3200−3−3i323+3i32000000−3+i323−i3200−3+i323−i320000000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i3−1+i3200−3+3i323−3i320000003+i32−3−i32003+i32−3−i320000000
χ1024-44-40-212-1-2-121003-3000000i3−i300i3−i30000000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i3−1−i3200−3−3i323+3i320000003−i32−3+i32003−i32−3+i320000000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i3−1+i3200−3+3i323−3i32000000−3−i323+i3200−3−i323+i320000000
χ1034-44-40-212-1-2-12100-33000000−i3i300i3−i30000000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i3−1−i32003+3i32−3−3i32000000−3+i323−i32003−i32−3+i320000000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i3−1+i32003−3i32−3+3i320000003+i32−3−i3200−3−i323+i320000000
χ1044-44-40-212-1-2-12100-33000000i3−i300−i3i30000000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i3−1−i32003+3i32−3−3i320000003−i32−3+i3200−3+i323−i320000000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i3−1+i32003−3i32−3+3i32000000−3−i323+i32003+i32−3−i320000000
χ10588-8-80-424-242-4-200000000000000000000000−4−4i3−4−4i34+4i34+4i302+2i3−1−i3−2−2i31+i3−2−2i3−1−i32+2i31+i300000000000000000000000−4+4i3−4+4i34−4i34−4i302−2i3−1+i3−2+2i31−i3−2+2i3−1+i32−2i31−i300000000000000000000000
χ1068-88-802-4-2424-2-400000000000000000000000−4−4i34+4i3−4−4i34+4i30−1−i32+2i31+i3−2−2i3−1−i3−2−2i31+i32+2i300000000000000000000000−4+4i34−4i3−4+4i34−4i30−1+i32−2i31−i3−2+2i3−1+i3−2+2i31−i32−2i300000000000000000000000
χ1078-8-8802-42-4-24-2400000000000000000000000−4−4i34+4i34+4i3−4−4i30−1−i32+2i3−1−i32+2i31+i3−2−2i31+i3−2−2i300000000000000000000000−4+4i34−4i34−4i3−4+4i30−1+i32−2i3−1+i32−2i31−i3−2+2i31−i3−2+2i300000000000000000000000
χ1088-8-880-42-424-24-200000000000000000000000−4−4i34+4i34+4i3−4−4i302+2i3−1−i32+2i3−1−i3−2−2i31+i3−2−2i31+i300000000000000000000000−4+4i34−4i34−4i3−4+4i302−2i3−1+i32−2i3−1+i3−2+2i31−i3−2+2i31−i300000000000000000000000

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