Finite Group Databasebeta

← Group #13167578

Character table — Group #13167578

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122224444444488888888181818181818181818181818181818181818363636363636363636363636111122224444444488888888181818181818181818181818181818181818363636363636363636363636
order1222366633666666336666664488881212121224242424242424244444121212121212121222226666666666666666666644888812121212242424242424242444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51-11-11-1-111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i1-11-11-1-111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i
χ61-11-11-1-111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii1-11-11-1-111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii
χ71-11-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111i−i−iiii−i−i−i−iii1-11-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111i−i−iiii−i−i−i−iii
χ81-11-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111−iii−i−i−iiiii−i−i1-11-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111−iii−i−i−iiiii−i−i
χ9222222222222222222222222-2-20000-2-2-2-200000000000000000000222222222222222222222222-2-20000-2-2-2-200000000000000000000
χ102222-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ112222-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-20000111133−3−333−3−30000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-20000111133−3−333−3−3000000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-200001111−3−333−3−3330000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-200001111−3−333−3−333000000000000
χ1422-2-222-2-222-2-222-2-222-2-222-2-2002−22−200002−22−22−22−200000000000022-2-222-2-222-2-222-2-222-2-222-2-2002−22−200002−22−22−22−2000000000000
χ1522-2-222-2-222-2-222-2-222-2-222-2-200−22−220000−22−22−22−2200000000000022-2-222-2-222-2-222-2-222-2-222-2-200−22−220000−22−22−22−22000000000000
χ1622-2-2-1-11122-2-222-2-2-1-111-1-111002−22−23−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000022-2-2-1-11122-2-222-2-2-1-111-1-111002−22−23−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ1722-2-2-1-11122-2-222-2-2-1-111-1-111002−22−2−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000022-2-2-1-11122-2-222-2-2-1-111-1-111002−22−2−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ1822-2-2-1-11122-2-222-2-2-1-111-1-11100−22−223−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000022-2-2-1-11122-2-222-2-2-1-111-1-11100−22−223−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ1922-2-2-1-11122-2-222-2-2-1-111-1-11100−22−22−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000022-2-2-1-11122-2-222-2-2-1-111-1-11100−22−22−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ202-22-22-2-222222-2-2-2-22222-2-2-2-22-2000022-2-2000000000000000000002-22-22-2-222222-2-2-2-22222-2-2-2-22-2000022-2-200000000000000000000
χ212-22-2-111-12222-2-2-2-2-1-1-1-111112-20000-1-11133−3−3−3−3330000000000002-22-2-111-12222-2-2-2-2-1-1-1-111112-20000-1-11133−3−3−3−333000000000000
χ222-22-2-111-12222-2-2-2-2-1-1-1-111112-20000-1-111−3−33333−3−30000000000002-22-2-111-12222-2-2-2-2-1-1-1-111112-20000-1-111−3−33333−3−3000000000000
χ232-22-2-111-12222-2-2-2-2-1-1-1-11111-2222-2-211-1-1-1-1-1-111110000000000002-22-2-111-12222-2-2-2-2-1-1-1-11111-2222-2-211-1-1-1-1-1-11111000000000000
χ242-22-2-111-12222-2-2-2-2-1-1-1-11111-22-2-22211-1-11111-1-1-1-10000000000002-22-2-111-12222-2-2-2-2-1-1-1-11111-22-2-22211-1-11111-1-1-1-1000000000000
χ252-2-222-22-222-2-2-2-22222-2-2-2-222002−2−2200002−22−2−22−220000000000002-2-222-22-222-2-2-2-22222-2-2-2-222002−2−2200002−22−2−22−22000000000000
χ262-2-222-22-222-2-2-2-22222-2-2-2-22200−222−20000−22−222−22−20000000000002-2-222-22-222-2-2-2-22222-2-2-2-22200−222−20000−22−222−22−2000000000000
χ272-2-22-11-1122-2-2-2-222-1-11111-1-1002−2−223−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000002-2-22-11-1122-2-2-2-222-1-11111-1-1002−2−223−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ282-2-22-11-1122-2-2-2-222-1-11111-1-1002−2−22−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000002-2-22-11-1122-2-2-2-222-1-11111-1-1002−2−22−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ292-2-22-11-1122-2-2-2-222-1-11111-1-100−222−23−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000002-2-22-11-1122-2-2-2-222-1-11111-1-100−222−23−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ302-2-22-11-1122-2-2-2-222-1-11111-1-100−222−2−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000002-2-22-11-1122-2-2-2-222-1-11111-1-100−222−2−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ31444444441-21-21-21-21-21-21-21-200000000000000000000220000-1-1-1-1444444441-21-21-21-21-21-21-21-200000000000000000000220000-1-1-1-1
χ32444444441-21-21-21-21-21-21-21-200000000000000000000-2-200001111444444441-21-21-21-21-21-21-21-200000000000000000000-2-200001111
χ3344444444-21-21-21-21-21-21-21-210000000000000000002200-1-1-1-1000044444444-21-21-21-21-21-21-21-210000000000000000002200-1-1-1-10000
χ3444444444-21-21-21-21-21-21-21-21000000000000000000-2-2001111000044444444-21-21-21-21-21-21-21-21000000000000000000-2-20011110000
χ3544-4-444-4-41-2-121-2-121-2-121-2-12000000000000000000000000003−33−344-4-444-4-41-2-121-2-121-2-121-2-12000000000000000000000000003−33−3
χ3644-4-444-4-41-2-121-2-121-2-121-2-1200000000000000000000000000−33−3344-4-444-4-41-2-121-2-121-2-121-2-1200000000000000000000000000−33−33
χ3744-4-444-4-4-212-1-212-1-212-1-212-100000000000000000000003−33−3000044-4-444-4-4-212-1-212-1-212-1-212-100000000000000000000003−33−30000
χ3844-4-444-4-4-212-1-212-1-212-1-212-10000000000000000000000−33−33000044-4-444-4-4-212-1-212-1-212-1-212-10000000000000000000000−33−330000
χ394-44-44-4-441-21-2-12-121-21-2-12-12000000000000000000002i−2i0000−i−iii4-44-44-4-441-21-2-12-121-21-2-12-12000000000000000000002i−2i0000−i−iii
χ404-44-44-4-441-21-2-12-121-21-2-12-1200000000000000000000−2i2i0000ii−i−i4-44-44-4-441-21-2-12-121-21-2-12-1200000000000000000000−2i2i0000ii−i−i
χ414-44-44-4-44-21-212-12-1-21-212-12-10000000000000000002i−2i00−i−iii00004-44-44-4-44-21-212-12-1-21-212-12-10000000000000000002i−2i00−i−iii0000
χ424-44-44-4-44-21-212-12-1-21-212-12-1000000000000000000−2i2i00ii−i−i00004-44-44-4-44-21-212-12-1-21-212-12-1000000000000000000−2i2i00ii−i−i0000
χ434-4-444-44-41-2-12-121-21-2-12-121-200000000000000000000000000−i3i3i3−i34-4-444-44-41-2-12-121-21-2-12-121-200000000000000000000000000−i3i3i3−i3
χ444-4-444-44-41-2-12-121-21-2-12-121-200000000000000000000000000i3−i3−i3i34-4-444-44-41-2-12-121-21-2-12-121-200000000000000000000000000i3−i3−i3i3
χ454-4-444-44-4-212-12-1-21-212-12-1-210000000000000000000000−i3i3i3−i300004-4-444-44-4-212-12-1-21-212-12-1-210000000000000000000000−i3i3i3−i30000
χ464-4-444-44-4-212-12-1-21-212-12-1-210000000000000000000000i3−i3−i3i300004-4-444-44-4-212-12-1-21-212-12-1-210000000000000000000000i3−i3−i3i30000
χ478888-4-4-4-42-42-42-42-4-12-12-12-120000000000000000000000000000008888-4-4-4-42-42-42-42-4-12-12-12-12000000000000000000000000000000
χ488888-4-4-4-4-42-42-42-422-12-12-12-10000000000000000000000000000008888-4-4-4-4-42-42-42-422-12-12-12-1000000000000000000000000000000
χ4988-8-8-4-4442-4-242-4-24-121-2-121-200000000000000000000000000000088-8-8-4-4442-4-242-4-24-121-2-121-2000000000000000000000000000000
χ5088-8-8-4-444-424-2-424-22-1-212-1-2100000000000000000000000000000088-8-8-4-444-424-2-424-22-1-212-1-21000000000000000000000000000000
χ518-88-8-444-42-42-4-24-24-12-121-21-20000000000000000000000000000008-88-8-444-42-42-4-24-24-12-121-21-2000000000000000000000000000000
χ528-88-8-444-4-42-424-24-22-12-1-21-210000000000000000000000000000008-88-8-444-4-42-424-24-22-12-1-21-21000000000000000000000000000000
χ538-8-88-44-442-4-24-242-4-121-21-2-120000000000000000000000000000008-8-88-44-442-4-24-242-4-121-21-2-12000000000000000000000000000000
χ548-8-88-44-44-424-24-2-422-1-21-212-10000000000000000000000000000008-8-88-44-44-424-24-2-422-1-21-212-1000000000000000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ56111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111
χ5811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1
χ591-11-11-1-111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i-11-11-111-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii
χ601-11-11-1-111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii-11-11-111-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111i−ii−iii−i−iii−i−i
χ611-11-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111i−i−iiii−i−i−i−iii-11-11-111-1-1-1-1-11111-1-1-1-111111-111-1-111-1-11111-1-1-1-1−iii−i−i−iiiii−i−i
χ621-11-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111−iii−i−i−iiiii−i−i-11-11-111-1-1-1-1-11111-1-1-1-111111-111-1-111-1-11111-1-1-1-1i−i−iiii−i−i−i−iii
χ63222222222222222222222222-2-20000-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000222200000000000000000000
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χ662222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-20000111133−3−333−3−3000000000000-2-2-2-21111-2-2-2-2-2-2-2-211111111220000-1-1-1-1−3−333−3−333000000000000
χ672222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-200001111−3−333−3−333000000000000-2-2-2-21111-2-2-2-2-2-2-2-211111111220000-1-1-1-133−3−333−3−3000000000000
χ6822-2-222-2-222-2-222-2-222-2-222-2-2002−22−200002−22−22−22−2000000000000-2-222-2-222-2-222-2-222-2-222-2-22200−22−220000−22−22−22−22000000000000
χ6922-2-222-2-222-2-222-2-222-2-222-2-200−22−220000−22−22−22−22000000000000-2-222-2-222-2-222-2-222-2-222-2-222002−22−200002−22−22−22−2000000000000
χ7022-2-2-1-11122-2-222-2-2-1-111-1-111002−22−23−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000-2-22211-1-1-2-222-2-22211-1-111-1-100−22−22−33−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ7122-2-2-1-11122-2-222-2-2-1-111-1-111002−22−2−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000-2-22211-1-1-2-222-2-22211-1-111-1-100−22−223−33−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ7222-2-2-1-11122-2-222-2-2-1-111-1-11100−22−223−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000-2-22211-1-1-2-222-2-22211-1-111-1-1002−22−2−33−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ7322-2-2-1-11122-2-222-2-2-1-111-1-11100−22−22−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000-2-22211-1-1-2-222-2-22211-1-111-1-1002−22−23−33−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ742-22-22-2-222222-2-2-2-22222-2-2-2-22-2000022-2-200000000000000000000-22-22-222-2-2-2-2-22222-2-2-2-22222-220000-2-22200000000000000000000
χ752-22-2-111-12222-2-2-2-2-1-1-1-111112-20000-1-11133−3−3−3−333000000000000-22-221-1-11-2-2-2-222221111-1-1-1-1-22000011-1-1−3−33333−3−3000000000000
χ762-22-2-111-12222-2-2-2-2-1-1-1-111112-20000-1-111−3−33333−3−3000000000000-22-221-1-11-2-2-2-222221111-1-1-1-1-22000011-1-133−3−3−3−333000000000000
χ772-22-2-111-12222-2-2-2-2-1-1-1-11111-2222-2-211-1-1-1-1-1-11111000000000000-22-221-1-11-2-2-2-222221111-1-1-1-12-2-2-222-1-1111111-1-1-1-1000000000000
χ782-22-2-111-12222-2-2-2-2-1-1-1-11111-22-2-22211-1-11111-1-1-1-1000000000000-22-221-1-11-2-2-2-222221111-1-1-1-12-222-2-2-1-111-1-1-1-11111000000000000
χ792-2-222-22-222-2-2-2-22222-2-2-2-222002−2−2200002−22−2−22−22000000000000-222-2-22-22-2-22222-2-2-2-22222-2-200−222−20000−22−222−22−2000000000000
χ802-2-222-22-222-2-2-2-22222-2-2-2-22200−222−20000−22−222−22−2000000000000-222-2-22-22-2-22222-2-2-2-22222-2-2002−2−2200002−22−2−22−22000000000000
χ812-2-22-11-1122-2-2-2-222-1-11111-1-1002−2−223−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000-222-21-11-1-2-22222-2-211-1-1-1-11100−222−2−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ822-2-22-11-1122-2-2-2-222-1-11111-1-1002−2−22−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000-222-21-11-1-2-22222-2-211-1-1-1-11100−222−23−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ832-2-22-11-1122-2-2-2-222-1-11111-1-100−222−23−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000-222-21-11-1-2-22222-2-211-1-1-1-111002−2−22−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ842-2-22-11-1122-2-2-2-222-1-11111-1-100−222−2−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000-222-21-11-1-2-22222-2-211-1-1-1-111002−2−223−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ85444444441-21-21-21-21-21-21-21-200000000000000000000220000-1-1-1-1-4-4-4-4-4-4-4-4-12-12-12-12-12-12-12-1200000000000000000000-2-200001111
χ86444444441-21-21-21-21-21-21-21-200000000000000000000-2-200001111-4-4-4-4-4-4-4-4-12-12-12-12-12-12-12-1200000000000000000000220000-1-1-1-1
χ8744444444-21-21-21-21-21-21-21-210000000000000000002200-1-1-1-10000-4-4-4-4-4-4-4-42-12-12-12-12-12-12-12-1000000000000000000-2-20011110000
χ8844444444-21-21-21-21-21-21-21-21000000000000000000-2-20011110000-4-4-4-4-4-4-4-42-12-12-12-12-12-12-12-10000000000000000002200-1-1-1-10000
χ8944-4-444-4-41-2-121-2-121-2-121-2-12000000000000000000000000003−33−3-4-444-4-444-121-2-121-2-121-2-121-200000000000000000000000000−33−33
χ9044-4-444-4-41-2-121-2-121-2-121-2-1200000000000000000000000000−33−33-4-444-4-444-121-2-121-2-121-2-121-2000000000000000000000000003−33−3
χ9144-4-444-4-4-212-1-212-1-212-1-212-100000000000000000000003−33−30000-4-444-4-4442-1-212-1-212-1-212-1-210000000000000000000000−33−330000
χ9244-4-444-4-4-212-1-212-1-212-1-212-10000000000000000000000−33−330000-4-444-4-4442-1-212-1-212-1-212-1-2100000000000000000000003−33−30000
χ934-44-44-4-441-21-2-12-121-21-2-12-12000000000000000000002i−2i0000−i−iii-44-44-444-4-12-121-21-2-12-121-21-200000000000000000000−2i2i0000ii−i−i
χ944-44-44-4-441-21-2-12-121-21-2-12-1200000000000000000000−2i2i0000ii−i−i-44-44-444-4-12-121-21-2-12-121-21-2000000000000000000002i−2i0000−i−iii
χ954-44-44-4-44-21-212-12-1-21-212-12-10000000000000000002i−2i00−i−iii0000-44-44-444-42-12-1-21-212-12-1-21-21000000000000000000−2i2i00ii−i−i0000
χ964-44-44-4-44-21-212-12-1-21-212-12-1000000000000000000−2i2i00ii−i−i0000-44-44-444-42-12-1-21-212-12-1-21-210000000000000000002i−2i00−i−iii0000
χ974-4-444-44-41-2-12-121-21-2-12-121-200000000000000000000000000−i3i3i3−i3-444-4-44-44-121-21-2-12-121-21-2-1200000000000000000000000000i3−i3−i3i3
χ984-4-444-44-41-2-12-121-21-2-12-121-200000000000000000000000000i3−i3−i3i3-444-4-44-44-121-21-2-12-121-21-2-1200000000000000000000000000−i3i3i3−i3
χ994-4-444-44-4-212-12-1-21-212-12-1-210000000000000000000000−i3i3i3−i30000-444-4-44-442-1-21-212-12-1-21-212-10000000000000000000000i3−i3−i3i30000
χ1004-4-444-44-4-212-12-1-21-212-12-1-210000000000000000000000i3−i3−i3i30000-444-4-44-442-1-21-212-12-1-21-212-10000000000000000000000−i3i3i3−i30000
χ1018888-4-4-4-42-42-42-42-4-12-12-12-12000000000000000000000000000000-8-8-8-84444-24-24-24-241-21-21-21-2000000000000000000000000000000
χ1028888-4-4-4-4-42-42-42-422-12-12-12-1000000000000000000000000000000-8-8-8-844444-24-24-24-2-21-21-21-21000000000000000000000000000000
χ10388-8-8-4-4442-4-242-4-24-121-2-121-2000000000000000000000000000000-8-88844-4-4-242-4-242-41-2-121-2-12000000000000000000000000000000
χ10488-8-8-4-444-424-2-424-22-1-212-1-21000000000000000000000000000000-8-88844-4-44-2-424-2-42-212-1-212-1000000000000000000000000000000
χ1058-88-8-444-42-42-4-24-24-12-121-21-2000000000000000000000000000000-88-884-4-44-24-242-42-41-21-2-12-12000000000000000000000000000000
χ1068-88-8-444-4-42-424-24-22-12-1-21-21000000000000000000000000000000-88-884-4-444-24-2-42-42-21-212-12-1000000000000000000000000000000
χ1078-8-88-44-442-4-24-242-4-121-21-2-12000000000000000000000000000000-888-84-44-4-242-42-4-241-2-12-121-2000000000000000000000000000000
χ1088-8-88-44-44-424-24-2-422-1-21-212-1000000000000000000000000000000-888-84-44-44-2-42-424-2-212-12-1-21000000000000000000000000000000

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