Finite Group Databasebeta

← Group #13166859

Character table — Group #13166859

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122444444444444881212121212121212121212121818242424242424363636363611112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order122222336666666666664444121212121212121244246612124888836666633666666666666121212121212121212121212121261266121212242424243666663366666666666612121212121212121212121212126126612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-20000
χ102222-2-22222-2-2-2-22222-2-2000000000000-2-2000000200002222-2-22222-2-2-2-22222-2-2000000000000-2-2000000200002222-2-22222-2-2-2-22222-2-2000000000000-2-200000020000
χ112-22-200222-200002-2-2-200002i−2i00002i2i−2i−2i2-2000000000002-22-200222-200002-2-2-200002i−2i00002i2i−2i−2i2-2000000000002-22-200222-200002-2-2-200002i−2i00002i2i−2i−2i2-200000000000
χ122-22-200222-200002-2-2-20000−2i2i0000−2i−2i2i2i2-2000000000002-22-200222-200002-2-2-20000−2i2i0000−2i−2i2i2i2-2000000000002-22-200222-200002-2-2-20000−2i2i0000−2i−2i2i2i2-200000000000
χ132-22-200222-200002-2-2-2002i−2i002i2i−2i−2i0000-22000000000002-22-200222-200002-2-2-2002i−2i002i2i−2i−2i0000-22000000000002-22-200222-200002-2-2-2002i−2i002i2i−2i−2i0000-2200000000000
χ142-22-200222-200002-2-2-200−2i2i00−2i−2i2i2i0000-22000000000002-22-200222-200002-2-2-200−2i2i00−2i−2i2i2i0000-22000000000002-22-200222-200002-2-2-200−2i2i00−2i−2i2i2i0000-2200000000000
χ152-2-222-222-2-222-2-2-2-2222-20000000000000000000002−22−22-2-222-222-2-222-2-2-2-2222-20000000000000000000002−22−22-2-222-222-2-222-2-2-2-2222-20000000000000000000002−22−2
χ162-2-222-222-2-222-2-2-2-2222-2000000000000000000000−22−222-2-222-222-2-222-2-2-2-2222-2000000000000000000000−22−222-2-222-222-2-222-2-2-2-2222-2000000000000000000000−22−22
χ172-2-22-2222-2-2-2-222-2-222-220000000000000000000002−2−222-2-22-2222-2-2-2-222-2-222-220000000000000000000002−2−222-2-22-2222-2-2-2-222-2-222-220000000000000000000002−2−22
χ182-2-22-2222-2-2-2-222-2-222-22000000000000000000000−222−22-2-22-2222-2-2-2-222-2-222-22000000000000000000000−222−22-2-22-2222-2-2-2-222-2-222-22000000000000000000000−222−2
χ194444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-100000000000004444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-100000000000004444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-2111111-2-2-21-2-2-2-2-2-21111111100000000000004444441-2111111-2-2-21-2-2-2-2-2-21111111100000000000004444441-2111111-2-2-21-2-2-2-2-2-2111111110000000000000
χ21444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000
χ22444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000
χ234444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-1111100000000000004444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-1111100000000000004444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-111110000000000000
χ244444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-100000000000004444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-100000000000004444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-10000000000000
χ254444-4-4-21-2-22222111-2-1-1000000000000002-2-1-111000004444-4-4-21-2-22222111-2-1-1000000000000002-2-1-111000004444-4-4-21-2-22222111-2-1-1000000000000002-2-1-11100000
χ264444-4-4-21-2-22222111-2-1-100000000000000-2211-1-1000004444-4-4-21-2-22222111-2-1-100000000000000-2211-1-1000004444-4-4-21-2-22222111-2-1-100000000000000-2211-1-100000
χ2744-4-4001-2-113-33-32-22-10000003−33−33−33−3000000000000044-4-4001-2-113-33-32-22-10000003−33−33−33−3000000000000044-4-4001-2-113-33-32-22-10000003−33−33−33−30000000000000
χ2844-4-4001-2-113-33-32-22-1000000−33−33−33−33000000000000044-4-4001-2-113-33-32-22-1000000−33−33−33−33000000000000044-4-4001-2-113-33-32-22-1000000−33−33−33−330000000000000
χ2944-4-4001-2-11-33-332-22-10000003−33−3−33−33000000000000044-4-4001-2-11-33-332-22-10000003−33−3−33−33000000000000044-4-4001-2-11-33-332-22-10000003−33−3−33−330000000000000
χ3044-4-4001-2-11-33-332-22-1000000−33−333−33−3000000000000044-4-4001-2-11-33-332-22-1000000−33−333−33−3000000000000044-4-4001-2-11-33-332-22-1000000−33−333−33−30000000000000
χ3144-4-40044-440000-44-4-400000000000000000000000000044-4-40044-440000-44-4-400000000000000000000000000044-4-40044-440000-44-4-4000000000000000000000000000
χ324-44-4001-21-13-3-33-222-1002i−2i2i−2i−i−iii−i−iii00000000000004-44-4001-21-13-3-33-222-1002i−2i2i−2i−i−iii−i−iii00000000000004-44-4001-21-13-3-33-222-1002i−2i2i−2i−i−iii−i−iii0000000000000
χ334-44-4001-21-13-3-33-222-100−2i2i−2i2iii−i−iii−i−i00000000000004-44-4001-21-13-3-33-222-100−2i2i−2i2iii−i−iii−i−i00000000000004-44-4001-21-13-3-33-222-100−2i2i−2i2iii−i−iii−i−i0000000000000
χ344-44-4001-21-1-333-3-222-1002i−2i−2i2i−i−iiiii−i−i00000000000004-44-4001-21-1-333-3-222-1002i−2i−2i2i−i−iiiii−i−i00000000000004-44-4001-21-1-333-3-222-1002i−2i−2i2i−i−iiiii−i−i0000000000000
χ354-44-4001-21-1-333-3-222-100−2i2i2i−2iii−i−i−i−iii00000000000004-44-4001-21-1-333-3-222-100−2i2i2i−2iii−i−i−i−iii00000000000004-44-4001-21-1-333-3-222-100−2i2i2i−2iii−i−i−i−iii0000000000000
χ364-4-444-41-2-1-111-1-122-21-220000−i3i3i3−i3−i3i3i3−i300000000000004-4-444-41-2-1-111-1-122-21-220000−i3i3i3−i3−i3i3i3−i300000000000004-4-444-41-2-1-111-1-122-21-220000−i3i3i3−i3−i3i3i3−i30000000000000
χ374-4-444-41-2-1-111-1-122-21-220000i3−i3−i3i3i3−i3−i3i300000000000004-4-444-41-2-1-111-1-122-21-220000i3−i3−i3i3i3−i3−i3i300000000000004-4-444-41-2-1-111-1-122-21-220000i3−i3−i3i3i3−i3−i3i30000000000000
χ384-4-444-4-2122-2-222-1-11-21-10000000000000000−i3i3−i3i3000004-4-444-4-2122-2-222-1-11-21-10000000000000000−i3i3−i3i3000004-4-444-4-2122-2-222-1-11-21-10000000000000000−i3i3−i3i300000
χ394-4-444-4-2122-2-222-1-11-21-10000000000000000i3−i3i3−i3000004-4-444-4-2122-2-222-1-11-21-10000000000000000i3−i3i3−i3000004-4-444-4-2122-2-222-1-11-21-10000000000000000i3−i3i3−i300000
χ404-4-44-441-2-1-1-1-11122-212-20000−i3i3i3−i3i3−i3−i3i300000000000004-4-44-441-2-1-1-1-11122-212-20000−i3i3i3−i3i3−i3−i3i300000000000004-4-44-441-2-1-1-1-11122-212-20000−i3i3i3−i3i3−i3−i3i30000000000000
χ414-4-44-441-2-1-1-1-11122-212-20000i3−i3−i3i3−i3i3i3−i300000000000004-4-44-441-2-1-1-1-11122-212-20000i3−i3−i3i3−i3i3i3−i300000000000004-4-44-441-2-1-1-1-11122-212-20000i3−i3−i3i3−i3i3i3−i30000000000000
χ424-4-44-44-212222-2-2-1-11-2-110000000000000000−i3i3i3−i3000004-4-44-44-212222-2-2-1-11-2-110000000000000000−i3i3i3−i3000004-4-44-44-212222-2-2-1-11-2-110000000000000000−i3i3i3−i300000
χ434-4-44-44-212222-2-2-1-11-2-110000000000000000i3−i3−i3i3000004-4-44-44-212222-2-2-1-11-2-110000000000000000i3−i3−i3i3000004-4-44-44-212222-2-2-1-11-2-110000000000000000i3−i3−i3i300000
χ4488-8-800-424-40000-22-2400000000000000000000000000088-8-800-424-40000-22-2400000000000000000000000000088-8-800-424-40000-22-24000000000000000000000000000
χ458-88-800-42-4400002-2-240000000000000000000000000008-88-800-42-4400002-2-240000000000000000000000000008-88-800-42-4400002-2-24000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1−1+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+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i32
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1−1+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−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+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+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−i321+i321+i321+i321+i32
χ4911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ501111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ511111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ521111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−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−i32−1−i321+i321+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−i321+i321+i321+i321+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
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χ1082-2-22-2222-2-2-2-222-2-222-22000000000000000000000−222−2−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3000000000000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3000000000000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23
χ1094444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000000
χ1104444441-2111111-2-2-21-2-2-2-2-2-2111111110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000
χ111444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i3200000000000000−1−i3−1−i31+i321+i321+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i3200000000000000−1+i3−1+i31−i321−i321−i321−i3200000
χ112444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32000000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32000000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200000
χ1134444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-111110000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i32−1−i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i32−1+i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ1144444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i32−1−i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i32−1+i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000
χ1154444-4-4-21-2-22222111-2-1-1000000000000002-2-1-11100000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i321+i31+i321+i3200000000000000−1−i31+i31+i321+i32−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i321−i31−i321−i3200000000000000−1+i31−i31−i321−i32−1+i32−1+i3200000
χ1164444-4-4-21-2-22222111-2-1-100000000000000-2211-1-100000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i321+i31+i321+i32000000000000001+i3−1−i3−1−i32−1−i321+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i321−i31−i321−i32000000000000001−i3−1+i3−1+i32−1+i321−i321−i3200000
χ11744-4-4001-2-113-33-32-22-10000003−33−33−33−30000000000000−2−2i3−2−2i32+2i32+2i300−1−i321+i31+i32−1−i32−3−3i323+3i32−3−3i323+3i32−1−i31+i3−1−i31+i320000002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i3−2+2i32−2i32−2i300−1+i321−i31−i32−1+i32−3+3i323−3i32−3+3i323−3i32−1+i31−i3−1+i31−i32000000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ11844-4-4001-2-113-33-32-22-1000000−33−33−33−330000000000000−2−2i3−2−2i32+2i32+2i300−1−i321+i31+i32−1−i32−3−3i323+3i32−3−3i323+3i32−1−i31+i3−1−i31+i32000000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i3−2+2i32−2i32−2i300−1+i321−i31−i32−1+i32−3+3i323−3i32−3+3i323−3i32−1+i31−i3−1+i31−i32000000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ11944-4-4001-2-11-33-332-22-10000003−33−3−33−330000000000000−2−2i3−2−2i32+2i32+2i300−1−i321+i31+i32−1−i323+3i32−3−3i323+3i32−3−3i32−1−i31+i3−1−i31+i320000002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i3−2+2i32−2i32−2i300−1+i321−i31−i32−1+i323−3i32−3+3i323−3i32−3+3i32−1+i31−i3−1+i31−i32000000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ12044-4-4001-2-11-33-332-22-1000000−33−333−33−30000000000000−2−2i3−2−2i32+2i32+2i300−1−i321+i31+i32−1−i323+3i32−3−3i323+3i32−3−3i32−1−i31+i3−1−i31+i32000000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i3−2+2i32−2i32−2i300−1+i321−i31−i32−1+i323−3i32−3+3i323−3i32−3+3i32−1+i31−i3−1+i31−i32000000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ12144-4-40044-440000-44-4-4000000000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i3−2−2i300002+2i3−2−2i32+2i32+2i3000000000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i3−2+2i300002−2i3−2+2i32−2i32−2i3000000000000000000000000000
χ1224-44-4001-21-13-3-33-222-1002i−2i2i−2i−i−iii−i−iii0000000000000−2−2i32+2i3−2−2i32+2i300−1−i321+i3−1−i321+i32−3−3i323+3i323+3i32−3−3i321+i3−1−i3−1−i31+i32002ζ22−2ζ222ζ22−2ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ220000000000000−2+2i32−2i3−2+2i32−2i300−1+i321−i3−1+i321−i32−3+3i323−3i323−3i32−3+3i321−i3−1+i3−1+i31−i32002ζ14−2ζ142ζ14−2ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ140000000000000
χ1234-44-4001-21-13-3-33-222-100−2i2i−2i2iii−i−iii−i−i0000000000000−2−2i32+2i3−2−2i32+2i300−1−i321+i3−1−i321+i32−3−3i323+3i323+3i32−3−3i321+i3−1−i3−1−i31+i3200−2ζ222ζ22−2ζ222ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ220000000000000−2+2i32−2i3−2+2i32−2i300−1+i321−i3−1+i321−i32−3+3i323−3i323−3i32−3+3i321−i3−1+i3−1+i31−i3200−2ζ142ζ14−2ζ142ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ140000000000000
χ1244-44-4001-21-1-333-3-222-1002i−2i−2i2i−i−iiiii−i−i0000000000000−2−2i32+2i3−2−2i32+2i300−1−i321+i3−1−i321+i323+3i32−3−3i32−3−3i323+3i321+i3−1−i3−1−i31+i32002ζ22−2ζ22−2ζ222ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ220000000000000−2+2i32−2i3−2+2i32−2i300−1+i321−i3−1+i321−i323−3i32−3+3i32−3+3i323−3i321−i3−1+i3−1+i31−i32002ζ14−2ζ14−2ζ142ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ140000000000000
χ1254-44-4001-21-1-333-3-222-100−2i2i2i−2iii−i−i−i−iii0000000000000−2−2i32+2i3−2−2i32+2i300−1−i321+i3−1−i321+i323+3i32−3−3i32−3−3i323+3i321+i3−1−i3−1−i31+i3200−2ζ222ζ222ζ22−2ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ220000000000000−2+2i32−2i3−2+2i32−2i300−1+i321−i3−1+i321−i323−3i32−3+3i32−3+3i323−3i321−i3−1+i3−1+i31−i3200−2ζ142ζ142ζ14−2ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ140000000000000
χ1264-4-444-41-2-1-111-1-122-21-220000−i3i3i3−i3−i3i3i3−i30000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−1−i321+i31+i321+i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i3−1−i321+i3−1−i30000−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i320000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−1+i321−i31−i321−i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i3−1+i321−i3−1+i300003+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i320000000000000
χ1274-4-444-41-2-1-111-1-122-21-220000i3−i3−i3i3i3−i3−i3i30000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−1−i321+i31+i321+i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i3−1−i321+i3−1−i300003−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i320000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−1+i321−i31−i321−i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i3−1+i321−i3−1+i30000−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i320000000000000
χ1284-4-444-4-2122-2-222-1-11-21-10000000000000000−i3i3−i3i300000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i321+i3−1−i321+i320000000000000000−3+i323−i32−3+i323−i3200000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i321−i3−1+i321−i3200000000000000003+i32−3−i323+i32−3−i3200000
χ1294-4-444-4-2122-2-222-1-11-21-10000000000000000i3−i3i3−i300000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i321+i3−1−i321+i3200000000000000003−i32−3+i323−i32−3+i3200000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i321−i3−1+i321−i320000000000000000−3−i323+i32−3−i323+i3200000
χ1304-4-44-441-2-1-1-1-11122-212-20000−i3i3i3−i3i3−i3−i3i30000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−1−i321+i31+i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i3−1−i32−1−i31+i30000−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i320000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−1+i321−i31−i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i3−1+i32−1+i31−i300003+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i320000000000000
χ1314-4-44-441-2-1-1-1-11122-212-20000i3−i3−i3i3−i3i3i3−i30000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−1−i321+i31+i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i3−1−i32−1−i31+i300003−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i320000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−1+i321−i31−i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i3−1+i32−1+i31−i30000−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i320000000000000
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χ1334-4-44-44-212222-2-2-1-11-2-110000000000000000i3−i3−i3i300000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−1−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i32−1−i321+i31+i32−1−i3200000000000000003−i32−3+i32−3+i323−i3200000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−1+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i32−1+i321−i31−i32−1+i320000000000000000−3−i323+i323+i32−3−i3200000
χ13488-8-800-424-40000-22-24000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i3−2−2i32+2i300001+i3−1−i31+i3−2−2i3000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i3−2+2i32−2i300001−i3−1+i31−i3−2+2i3000000000000000000000000000
χ1358-88-800-42-4400002-2-24000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−1−i32+2i3−2−2i30000−1−i31+i31+i3−2−2i3000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−1+i32−2i3−2+2i30000−1+i31−i31−i3−2+2i3000000000000000000000000000

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