Finite Group Databasebeta

← Group #13166890

Character table — Group #13166890

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488881212121218181818242424242424242424243636363611114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122223366666666662244444444661212121212128888366663366666666666612121212121212126612121212121224242424366663366666666666612121212121212126612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-11111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-11111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ61111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-1111111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-1111111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111
χ71111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1111111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1111111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111
χ81111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-11111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-11111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ102222-222222222-2-2-2-2000022-2-2000000000000002222-222222222-2-2-2-2000022-2-2000000000000002222-222222222-2-2-2-2000022-2-200000000000000
χ112-22-2022-22-22-2-2000000002i−2i0000000000002−2−i2i22-22-2022-22-22-2-2000000002i−2i0000000000002−2−i2i22-22-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2
χ122-22-2022-22-22-2-2000000002i−2i000000000000−22i2−i22-22-2022-22-22-2-2000000002i−2i000000000000−22i2−i22-22-2022-22-22-2-2000000002i−2i000000000000−22i2−i2
χ132-22-2022-22-22-2-200000000−2i2i0000000000002−2i2−i22-22-2022-22-22-2-200000000−2i2i0000000000002−2i2−i22-22-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2
χ142-22-2022-22-22-2-200000000−2i2i000000000000−22−i2i22-22-2022-22-22-2-200000000−2i2i000000000000−22−i2i22-22-2022-22-22-2-200000000−2i2i000000000000−22−i2i2
χ152-2-22022-2-2-2-2220000002-2002-200002-2000000002-2-22022-2-2-2-2220000002-2002-200002-2000000002-2-22022-2-2-2-2220000002-2002-200002-200000000
χ162-2-22022-2-2-2-222000000-22002-20000-22000000002-2-22022-2-2-2-222000000-22002-20000-22000000002-2-22022-2-2-2-222000000-22002-20000-2200000000
χ172-2-22022-2-2-2-22200002-20000-22002-200000000002-2-22022-2-2-2-22200002-20000-22002-200000000002-2-22022-2-2-2-22200002-20000-22002-20000000000
χ182-2-22022-2-2-2-2220000-220000-2200-2200000000002-2-22022-2-2-2-2220000-220000-2200-2200000000002-2-22022-2-2-2-2220000-220000-2200-220000000000
χ19444441-21-2-211-211-2-200000000220000-1-1-1-10000444441-21-2-211-211-2-200000000220000-1-1-1-10000444441-21-2-211-211-2-200000000220000-1-1-1-10000
χ20444441-21-2-211-211-2-200000000-2-2000011110000444441-21-2-211-211-2-200000000-2-2000011110000444441-21-2-211-211-2-200000000-2-2000011110000
χ2144444-21-211-2-21-2-2112222000000-1-1-1-10000000044444-21-211-2-21-2-2112222000000-1-1-1-10000000044444-21-211-2-21-2-2112222000000-1-1-1-100000000
χ2244444-21-211-2-21-2-211-2-2-2-200000011110000000044444-21-211-2-21-2-211-2-2-2-200000011110000000044444-21-211-2-21-2-211-2-2-2-2000000111100000000
χ234444-41-21-2-211-2-1-122000000002-20000-1-11100004444-41-21-2-211-2-1-122000000002-20000-1-11100004444-41-21-2-211-2-1-122000000002-20000-1-1110000
χ244444-41-21-2-211-2-1-12200000000-22000011-1-100004444-41-21-2-211-2-1-12200000000-22000011-1-100004444-41-21-2-211-2-1-12200000000-22000011-1-10000
χ254444-4-21-211-2-2122-1-122-2-2000000-1-111000000004444-4-21-211-2-2122-1-122-2-2000000-1-111000000004444-4-21-211-2-2122-1-122-2-2000000-1-11100000000
χ264444-4-21-211-2-2122-1-1-2-22200000011-1-1000000004444-4-21-211-2-2122-1-1-2-22200000011-1-1000000004444-4-21-211-2-2122-1-1-2-22200000011-1-100000000
χ2744-4-401-212-2-1-123-300000000000000003−33−3000044-4-401-212-2-1-123-300000000000000003−33−3000044-4-401-212-2-1-123-300000000000000003−33−30000
χ2844-4-401-212-2-1-123-30000000000000000−33−33000044-4-401-212-2-1-123-30000000000000000−33−33000044-4-401-212-2-1-123-30000000000000000−33−330000
χ2944-4-401-212-2-1-12-3300000000000000003−3−33000044-4-401-212-2-1-12-3300000000000000003−3−33000044-4-401-212-2-1-12-3300000000000000003−3−330000
χ3044-4-401-212-2-1-12-330000000000000000−333−3000044-4-401-212-2-1-12-330000000000000000−333−3000044-4-401-212-2-1-12-330000000000000000−333−30000
χ3144-4-40444-44-4-4-40000000000000000000000000044-4-40444-44-4-4-40000000000000000000000000044-4-40444-44-4-4-400000000000000000000000000
χ324-4-440-212-1-12-21003-32-22-2000000-11-11000000004-4-440-212-1-12-21003-32-22-2000000-11-11000000004-4-440-212-1-12-21003-32-22-2000000-11-1100000000
χ334-4-440-212-1-12-21003-3-22-220000001-11-1000000004-4-440-212-1-12-21003-3-22-220000001-11-1000000004-4-440-212-1-12-21003-3-22-220000001-11-100000000
χ344-4-440-212-1-12-2100-332-2-22000000-111-1000000004-4-440-212-1-12-2100-332-2-22000000-111-1000000004-4-440-212-1-12-2100-332-2-22000000-111-100000000
χ354-4-440-212-1-12-2100-33-222-20000001-1-11000000004-4-440-212-1-12-2100-33-222-20000001-1-11000000004-4-440-212-1-12-2100-33-222-20000001-1-1100000000
χ3688-8-80-42-4-2244-20000000000000000000000000088-8-80-42-4-2244-20000000000000000000000000088-8-80-42-4-2244-200000000000000000000000000
χ378-88-802-4-2-442-24000000000000000000000000008-88-802-4-2-442-24000000000000000000000000008-88-802-4-2-442-2400000000000000000000000000
χ388-88-80-4242-2-44-2000000000000000000000000008-88-80-4242-2-44-2000000000000000000000000008-88-80-4242-2-44-200000000000000000000000000
χ398-8-8802-4-244-22-4000000000000000000000000008-8-8802-4-244-22-4000000000000000000000000008-8-8802-4-244-22-400000000000000000000000000
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
χ411111111111111111111111111-1-11111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−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−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−i321+i321+i321+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+i321+i321+i32
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+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+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ441111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ451111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111−1+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−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ461111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111−1+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ471111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1−1+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ48222222222222222220000-2-2-2-200000000000000−1+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+i300001−i31−i31−i31−i300000000000000−1−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−i300001+i31+i31+i31+i300000000000000
χ492222-222222222-2-2-2-2000022-2-200000000000000−1+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−i30000−1+i3−1+i31−i31−i300000000000000−1−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+i30000−1−i3−1−i31+i31+i300000000000000
χ502-22-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13
χ512-22-2022-22-22-2-2000000002i−2i000000000000−22i2−i2−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13
χ522-22-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000−2ζ142ζ14000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000−2ζ222ζ22000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13
χ532-22-2022-22-22-2-200000000−2i2i000000000000−22−i2i2−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000−2ζ142ζ14000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000−2ζ222ζ22000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13
χ542-2-22022-2-2-2-2220000002-2002-200002-200000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000−1+i31−i300−1+i31−i30000−1+i31−i300000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000−1−i31+i300−1−i31+i30000−1−i31+i300000000
χ552-2-22022-2-2-2-222000000-22002-20000-2200000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000001−i3−1+i300−1+i31−i300001−i3−1+i300000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000001+i3−1−i300−1−i31+i300001+i3−1−i300000000
χ562-2-22022-2-2-2-22200002-20000-22002-20000000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−1+i31−i300001−i3−1+i300−1+i31−i30000000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−1−i31+i300001+i3−1−i300−1−i31+i30000000000
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χ882222-222222222-2-2-2-2000022-2-200000000000000−1−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+i30000−1−i3−1−i31+i31+i300000000000000−1+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−i30000−1+i3−1+i31−i31−i300000000000000
χ892-22-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ902-22-2022-22-22-2-2000000002i−2i000000000000−22i2−i2−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ912-22-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000−2ζ222ζ22000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000−2ζ142ζ14000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23
χ922-22-2022-22-22-2-200000000−2i2i000000000000−22−i2i2−1−i31+i3−1−i31+i30−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000−2ζ222ζ22000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000−2ζ142ζ14000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23
χ932-2-22022-2-2-2-2220000002-2002-200002-200000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000−1−i31+i300−1−i31+i30000−1−i31+i300000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000−1+i31−i300−1+i31−i30000−1+i31−i300000000
χ942-2-22022-2-2-2-222000000-22002-20000-2200000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000001+i3−1−i300−1−i31+i300001+i3−1−i300000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000001−i3−1+i300−1+i31−i300001−i3−1+i300000000
χ952-2-22022-2-2-2-22200002-20000-22002-20000000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−1−i31+i300001+i3−1−i300−1−i31+i30000000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−1+i31−i300001−i3−1+i300−1+i31−i30000000000
χ962-2-22022-2-2-2-2220000-220000-2200-220000000000−1−i31+i31+i3−1−i30−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i3−1−i300001+i3−1−i3001+i3−1−i30000000000−1+i31−i31−i3−1+i30−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i3−1+i300001−i3−1+i3001−i3−1+i30000000000
χ97444441-21-2-211-211-2-200000000220000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i31+i300000000−1−i3−1−i300001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i31−i300000000−1+i3−1+i300001−i321−i321−i321−i320000
χ98444441-21-2-211-211-2-200000000-2-2000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i31+i3000000001+i31+i30000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i31−i3000000001−i31−i30000−1+i32−1+i32−1+i32−1+i320000
χ9944444-21-211-2-21-2-2112222000000-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i30000001+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i30000001−i321−i321−i321−i3200000000
χ10044444-21-211-2-21-2-211-2-2-2-2000000111100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i31+i31+i3000000−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i31−i31−i3000000−1+i32−1+i32−1+i32−1+i3200000000
χ1014444-41-21-2-211-2-1-122000000002-20000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i321+i32−1−i3−1−i300000000−1−i31+i300001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i321−i32−1+i3−1+i300000000−1+i31−i300001−i321−i32−1+i32−1+i320000
χ1024444-41-21-2-211-2-1-12200000000-22000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i321+i32−1−i3−1−i3000000001+i3−1−i30000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i321−i32−1+i3−1+i3000000001−i3−1+i30000−1+i32−1+i321−i321−i320000
χ1034444-4-21-211-2-2122-1-122-2-2000000-1-11100000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i30000001+i321+i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i30000001−i321−i32−1+i32−1+i3200000000
χ1044444-4-21-211-2-2122-1-1-2-22200000011-1-100000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3000000−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3000000−1+i32−1+i321−i321−i3200000000
χ10544-4-401-212-2-1-123-300000000000000003−33−30000−2−2i3−2−2i32+2i32+2i30−1−i321+i3−1−i32−1−i31+i31+i321+i32−1−i3−3−3i323+3i3200000000000000002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000−2+2i3−2+2i32−2i32−2i30−1+i321−i3−1+i32−1+i31−i31−i321−i32−1+i3−3+3i323−3i320000000000000000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ10644-4-401-212-2-1-123-30000000000000000−33−330000−2−2i3−2−2i32+2i32+2i30−1−i321+i3−1−i32−1−i31+i31+i321+i32−1−i3−3−3i323+3i320000000000000000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000−2+2i3−2+2i32−2i32−2i30−1+i321−i3−1+i32−1+i31−i31−i321−i32−1+i3−3+3i323−3i320000000000000000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000
χ10744-4-401-212-2-1-12-3300000000000000003−3−330000−2−2i3−2−2i32+2i32+2i30−1−i321+i3−1−i32−1−i31+i31+i321+i32−1−i33+3i32−3−3i3200000000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000−2+2i3−2+2i32−2i32−2i30−1+i321−i3−1+i32−1+i31−i31−i321−i32−1+i33−3i32−3+3i320000000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000
χ10844-4-401-212-2-1-12-330000000000000000−333−30000−2−2i3−2−2i32+2i32+2i30−1−i321+i3−1−i32−1−i31+i31+i321+i32−1−i33+3i32−3−3i320000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000−2+2i3−2+2i32−2i32−2i30−1+i321−i3−1+i32−1+i31−i31−i321−i32−1+i33−3i32−3+3i320000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ10944-4-40444-44-4-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i30−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i30−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i300000000000000000000000000
χ1104-4-440-212-1-12-21003-32-22-2000000-11-1100000000−2−2i32+2i32+2i3−2−2i301+i3−1−i32−1−i31+i321+i32−1−i31+i3−1−i3200−3−3i323+3i32−1−i31+i3−1−i31+i30000001+i32−1−i321+i32−1−i3200000000−2+2i32−2i32−2i3−2+2i301−i3−1+i32−1+i31−i321−i32−1+i31−i3−1+i3200−3+3i323−3i32−1+i31−i3−1+i31−i30000001−i32−1+i321−i32−1+i3200000000
χ1114-4-440-212-1-12-21003-3-22-220000001-11-100000000−2−2i32+2i32+2i3−2−2i301+i3−1−i32−1−i31+i321+i32−1−i31+i3−1−i3200−3−3i323+3i321+i3−1−i31+i3−1−i3000000−1−i321+i32−1−i321+i3200000000−2+2i32−2i32−2i3−2+2i301−i3−1+i32−1+i31−i321−i32−1+i31−i3−1+i3200−3+3i323−3i321−i3−1+i31−i3−1+i3000000−1+i321−i32−1+i321−i3200000000
χ1124-4-440-212-1-12-2100-332-2-22000000-111-100000000−2−2i32+2i32+2i3−2−2i301+i3−1−i32−1−i31+i321+i32−1−i31+i3−1−i32003+3i32−3−3i32−1−i31+i31+i3−1−i30000001+i32−1−i32−1−i321+i3200000000−2+2i32−2i32−2i3−2+2i301−i3−1+i32−1+i31−i321−i32−1+i31−i3−1+i32003−3i32−3+3i32−1+i31−i31−i3−1+i30000001−i32−1+i32−1+i321−i3200000000
χ1134-4-440-212-1-12-2100-33-222-20000001-1-1100000000−2−2i32+2i32+2i3−2−2i301+i3−1−i32−1−i31+i321+i32−1−i31+i3−1−i32003+3i32−3−3i321+i3−1−i3−1−i31+i3000000−1−i321+i321+i32−1−i3200000000−2+2i32−2i32−2i3−2+2i301−i3−1+i32−1+i31−i321−i32−1+i31−i3−1+i32003−3i32−3+3i321−i3−1+i3−1+i31−i3000000−1+i321−i321−i32−1+i3200000000
χ11488-8-80-42-4-2244-200000000000000000000000000−4−4i3−4−4i34+4i34+4i302+2i3−1−i32+2i31+i3−1−i3−2−2i3−2−2i31+i300000000000000000000000000−4+4i3−4+4i34−4i34−4i302−2i3−1+i32−2i31−i3−1+i3−2+2i3−2+2i31−i300000000000000000000000000
χ1158-88-802-4-2-442-2400000000000000000000000000−4−4i34+4i3−4−4i34+4i30−1−i32+2i31+i32+2i3−2−2i3−1−i31+i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i30−1+i32−2i31−i32−2i3−2+2i3−1+i31−i3−2+2i300000000000000000000000000
χ1168-88-80-4242-2-44-200000000000000000000000000−4−4i34+4i3−4−4i34+4i302+2i3−1−i3−2−2i3−1−i31+i32+2i3−2−2i31+i300000000000000000000000000−4+4i34−4i3−4+4i34−4i302−2i3−1+i3−2+2i3−1+i31−i32−2i3−2+2i31−i300000000000000000000000000
χ1178-8-8802-4-244-22-400000000000000000000000000−4−4i34+4i34+4i3−4−4i30−1−i32+2i31+i3−2−2i3−2−2i31+i3−1−i32+2i300000000000000000000000000−4+4i34−4i34−4i3−4+4i30−1+i32−2i31−i3−2+2i3−2+2i31−i3−1+i32−2i300000000000000000000000000

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