Finite Group Databasebeta

← Group #13157195

Character table — Group #13157195

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441818181836363636363636363636108108108108108108108108
order124423466612121212333333666666666666666666881212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242488884412121212242424241616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ611111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iii
χ811111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i
χ91111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−iii−i−i11-1-11-1i−i1-1i−i
χ101111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−iii−i−i11-1-1-11−ii-11−ii
χ111111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−ii−i−iii-1-111i−i-11−ii1-1
χ121111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−ii−i−iii-1-111−ii1-1i−i-11
χ131111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii11-1-1−ii−i−iii11-1-11-1−ii1-1−ii
χ141111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii11-1-1−ii−i−iii11-1-1-11i−i-11i−i
χ151111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-1-111i−iii−i−i-1-111i−i1-1−ii-11
χ161111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-1-111i−iii−i−i-1-111−ii-11i−i1-1
χ1722222-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100000000
χ1822222-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111100000000
χ1922222-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111111111112222-2-21111-1-1-1-100000000
χ2022222-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-222-1-1-1-1111100000000
χ212222-2-1-2-11111-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-12i−2i2222-1-1-1-1-1-1-1-1-2-2-2-211111111−i−iii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii22-2-22i−2i−i−iii-1-11100000000
χ222222-2-1-2-11111-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-12i−2i2222-1-1-1-1-1-1-1-1-2-2-2-211111111−i−iii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii-2-222−2i2iii−i−i11-1-100000000
χ232222-2-1-2-11111-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1−2i2i2222-1-1-1-1-1-1-1-1-2-2-2-211111111ii−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i22-2-2−2i2iii−i−i-1-11100000000
χ242222-2-1-2-11111-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1−2i2i2222-1-1-1-1-1-1-1-1-2-2-2-211111111ii−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-2-2222i−2i−i−iii11-1-100000000
χ2522-2-222-2222-2-2-2-222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000002i−2i2i−2i00000000
χ2622-2-222-2222-2-2-2-222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000−2i2i−2i2i00000000
χ2722-2-22-1-2-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-211111111-2-2-2-2111111113−33−30000000033333333−3−3−3−3−3−3−3−30000000033333333−3−3−3−3−3−3−3−32i−2i2i−2i00−i3i3−i3i3−ii−ii00000000
χ2822-2-22-1-2-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-211111111-2-2-2-2111111113−33−30000000033333333−3−3−3−3−3−3−3−30000000033333333−3−3−3−3−3−3−3−3−2i2i−2i2i00i3−i3i3−i3i−ii−i00000000
χ2922-2-22-1-2-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-211111111-2-2-2-211111111−33−3300000000−3−3−3−3−3−3−3−33333333300000000−3−3−3−3−3−3−3−3333333332i−2i2i−2i00i3−i3i3−i3−ii−ii00000000
χ3022-2-22-1-2-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-211111111-2-2-2-211111111−33−3300000000−3−3−3−3−3−3−3−33333333300000000−3−3−3−3−3−3−3−333333333−2i2i−2i2i00−i3i3−i3i3i−ii−i00000000
χ3122-2-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000000000000000002i−2i−2i2i0000002i−2i−2i2i00000000
χ3222-2-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000000000−2i2i2i−2i000000−2i2i2i−2i00000000
χ3322-2-2-2-12-111-1-11122-1-1-1-1-2-2-2-21111111122-1-1-1-100-2-2-2-2111111112222-1-1-1-1-1-1-1-1−i3i3i3−i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32i−2i−2i2i00−333−3−iii−i00000000
χ3422-2-2-2-12-111-1-11122-1-1-1-1-2-2-2-21111111122-1-1-1-100-2-2-2-2111111112222-1-1-1-1-1-1-1-1−i3i3i3−i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−2i2i2i−2i003−3−33i−i−ii00000000
χ3522-2-2-2-12-111-1-11122-1-1-1-1-2-2-2-21111111122-1-1-1-100-2-2-2-2111111112222-1-1-1-1-1-1-1-1i3−i3−i3i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32i−2i−2i2i003−3−33−iii−i00000000
χ3622-2-2-2-12-111-1-11122-1-1-1-1-2-2-2-21111111122-1-1-1-100-2-2-2-2111111112222-1-1-1-1-1-1-1-1i3−i3−i3i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−2i2i2i−2i00−333−3i−i−ii00000000
χ37444444444444441-211-2-211-2-21111-2-2-2-21-211-2-24411-2-21111-2-2-2-211-2-21111-2-2-2-244441111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-20000000000000000000000
χ38444444444444441-211-2-211-2-21111-2-2-2-21-211-2-2-4-411-2-21111-2-2-2-211-2-21111-2-2-2-2-4-4-4-4-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-122220000000000000000000000
χ3944444444444444-21-2-211-2-211-2-2-2-21111-21-2-21144-2-211-2-2-2-21111-2-211-2-2-2-211114444-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000
χ4044444444444444-21-2-211-2-211-2-2-2-21111-21-2-211-4-4-2-211-2-2-2-21111-2-211-2-2-2-21111-4-4-4-42222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-10000000000000000000000
χ4144444-24-2-2-2-2-2-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i32114411-2-2−1−3i32−1−3i32−1+3i32−1+3i32111111-2-2−1−3i32−1−3i32−1+3i32−1+3i321111-2-2-2-21111-2-2-2-2−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i3211111111-2-2-2-2−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i3211110000000000000000000000
χ4244444-24-2-2-2-2-2-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-4-411-2-2−1−3i32−1−3i32−1+3i32−1+3i32111111-2-2−1−3i32−1−3i32−1+3i32−1+3i3211112222-1-1-1-122221+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-1-1-122221+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-10000000000000000000000
χ4344444-24-2-2-2-2-2-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i32114411-2-2−1+3i32−1+3i32−1−3i32−1−3i32111111-2-2−1+3i32−1+3i32−1−3i32−1−3i321111-2-2-2-21111-2-2-2-2−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i3211111111-2-2-2-2−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i3211110000000000000000000000
χ4444444-24-2-2-2-2-2-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-4-411-2-2−1+3i32−1+3i32−1−3i32−1−3i32111111-2-2−1+3i32−1+3i32−1−3i32−1−3i3211112222-1-1-1-122221−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-1-1-122221−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-10000000000000000000000
χ4544444-24-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i3244-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i320000000000000000000000
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χ1354-4−4i4i0-2022i3−2i323−232i−2i-2111−1−3i32−1+3i32003-3−i3i3i3−i3−3−i323+i32−3+i323−i322-1-1-11+3i321−3i32002i−2ii−i−ii−ii−ζ14+2ζ22ζ14−2ζ222ζ14−ζ22−2ζ14+ζ2200−3i3i−333−3−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ2200006−6i6−i6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−2ζ13ζ5+2ζ13ζ7+2ζ23−ζ7−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ7−ζ232ζ7+ζ232ζ5+ζ13−2ζ5−ζ13−i6i66−6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5+2ζ13−ζ5−2ζ13ζ7+2ζ23−ζ7−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ7−ζ232ζ7+ζ23−2ζ5−ζ132ζ5+ζ130000000000000000000000
χ1364-4−4i4i0-2022i3−2i323−232i−2i-2111−1−3i32−1+3i32003-3−i3i3i3−i3−3−i323+i32−3+i323−i322-1-1-11+3i321−3i32002i−2ii−i−ii−ii−ζ14+2ζ22ζ14−2ζ222ζ14−ζ22−2ζ14+ζ2200−3i3i−333−3−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ220000−66−i6i6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+2ζ13−ζ5−2ζ13−ζ7−2ζ23ζ7+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ7+ζ23−2ζ7−ζ23−2ζ5−ζ132ζ5+ζ13i6−i6−66−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5−2ζ13ζ5+2ζ13−ζ7−2ζ23ζ7+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ7+ζ23−2ζ7−ζ232ζ5+ζ13−2ζ5−ζ130000000000000000000000
χ1374-4−4i4i0-2022i3−2i323−232i−2i-2111−1+3i32−1−3i3200-33−i3i3i3−i33−i32−3+i323+i32−3−i322-1-1-11−3i321+3i32002i−2ii−i−ii−ii2ζ14−ζ22−2ζ14+ζ22−ζ14+2ζ22ζ14−2ζ22003i−3i−333−32ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ220000i6−i6−66−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ7−2ζ23ζ7+2ζ23−ζ5−2ζ13ζ5+2ζ132ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+ζ13−2ζ5−ζ132ζ7+ζ23−2ζ7−ζ23−66−i6i6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ7−2ζ23ζ7+2ζ23ζ5+2ζ13−ζ5−2ζ132ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5−ζ132ζ5+ζ132ζ7+ζ23−2ζ7−ζ230000000000000000000000
χ1384-4−4i4i0-2022i3−2i323−232i−2i-2111−1+3i32−1−3i3200-33−i3i3i3−i33−i32−3+i323+i32−3−i322-1-1-11−3i321+3i32002i−2ii−i−ii−ii2ζ14−ζ22−2ζ14+ζ22−ζ14+2ζ22ζ14−2ζ22003i−3i−333−32ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ220000−i6i66−6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ7+2ζ23−ζ7−2ζ23ζ5+2ζ13−ζ5−2ζ13−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−ζ132ζ5+ζ13−2ζ7−ζ232ζ7+ζ236−6i6−i6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5−2ζ13ζ5+2ζ13−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5+ζ13−2ζ5−ζ13−2ζ7−ζ232ζ7+ζ230000000000000000000000

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