Finite Group Databasebeta

← Group #13161819

Character table — Group #13161819

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636363636363636363636363636727272727272
order12222233344666666666666612121212333334666666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244448888121212121212121224242424242424244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1111111111-1-1-1-111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-111
χ61111-1-1111111111-1-1-1-111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1
χ71111-1-1111111111-1-1-1-111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1
χ81111-1-1111111111-1-1-1-111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-111
χ9222222222-2-22222222222222-2-2-2-222222-2222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
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χ1122222222-122222-1222222-1-1222222-1-1-1-1222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-21111
χ1222222222-1-2-2222-1222222-1-12-2-2-2-22-1-1-1-1-222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111111100000000000000000000000000−i3i3−i3i3
χ1322222222-1-2-2222-1222222-1-12-2-2-2-22-1-1-1-1-222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111111100000000000000000000000000i3−i3i3−i3
χ142222222-122222-12-1-1-1-12-122-12222-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ152222222-122222-12-1-1-1-12-122-12222-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ162222222-12-2-222-12-1-1-1-12-122-1-2-2-2-2-12-1-1-1-22222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-111-2-211-2-2-2-21111-2-2-2-21111111111111111-2-2-2-211111111111100000000−i3−i3i3i3−i3−i3i3i300000000000000
χ172222222-12-2-222-12-1-1-1-12-122-1-2-2-2-2-12-1-1-1-22222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-111-2-211-2-2-2-21111-2-2-2-21111111111111111-2-2-2-211111111111100000000i3i3−i3−i3i3i3−i3−i300000000000000
χ18222222-12222-1-1222222-12222-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ19222222-12222-1-1222222-12222-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ20222222-122-2-2-1-1222222-122221111-1-12-1-1-2-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-2-211-2-2-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111000000000000000033−3−333−3−3000000
χ21222222-122-2-2-1-1222222-122221111-1-12-1-1-2-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-2-211-2-2-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-2111111110000000000000000−3−333−3−333000000
χ222222-2-2222-2-22222-2-2-2-222222-2-2-2-2222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222000000000000000000000000000000
χ232222-2-222-122222-1-2-2-2-222-1-1222222-1-1-1-1-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-122-2-2-2-2-1-1112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000000000000000000002-211-1-1
χ242222-2-222-122222-1-2-2-2-222-1-1222222-1-1-1-1-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-122-2-2-2-2-1-1112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000000000000000000000-22-1-111
χ252222-2-222-1-2-2222-1-2-2-2-222-1-12-2-2-2-22-1-1-1-12-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2222211-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i3i3−i3
χ262222-2-222-1-2-2222-1-2-2-2-222-1-12-2-2-2-22-1-1-1-12-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2222211-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i3−i3i3
χ272222-2-22-122222-1211112-122-12222-12-1-1-1-2-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-1-1-2-21122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111122-2-20000-1-1-1-1111100000000000000
χ282222-2-22-122222-1211112-122-12222-12-1-1-1-2-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-1-1-2-21122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-22200001111-1-1-1-100000000000000
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χ302222-2-22-12-2-222-1211112-122-1-2-2-2-2-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-11122-1-1-2-2221111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i300000000000000
χ312222-2-2-12222-1-122-2-2-2-2-12222-1-1-1-1-1-12-1-1-211-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-12211-2-222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000022-2-200000000-1-1-1-11111000000
χ322222-2-2-12222-1-122-2-2-2-2-12222-1-1-1-1-1-12-1-1-211-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-12211-2-222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000000
χ332222-2-2-122-2-2-1-122-2-2-2-2-122221111-1-12-1-1211-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-2-2-1-122-2-22211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000033−3−3−3−333000000
χ342222-2-2-122-2-2-1-122-2-2-2-2-122221111-1-12-1-1211-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-2-2-1-122-2-22211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000−3−33333−3−3000000
χ3522-2-22-2222002-22222-2-2-2-2-2-2-200002222202-22-22-22-22-222-2-222-2-222-2-222-2-22222-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000002−22−2000000002−22−22−22−2000000
χ3622-2-22-2222002-22222-2-2-2-2-2-2-200002222202-22-22-22-22-222-2-222-2-222-2-222-2-22222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000−22−2200000000−22−22−22−22000000
χ3722-2-22-2-12200-112222-2-21-2-2-2-233−3−3-1-12-1-10-112-2-11-112-2-1-111-1-111-1-11122-2-2-1-1-1-1111111-211003−300000033−3−333−3−300003333−3−3−3−333−3−333−3−300003333−3−3−3−300002−22−200000000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
χ3822-2-22-2-12200-112222-2-21-2-2-2-233−3−3-1-12-1-10-112-2-11-112-2-1-111-1-111-1-11122-2-2-1-1-1-1111111-211003−300000033−3−333−3−300003333−3−3−3−333−3−333−3−300003333−3−3−3−30000−22−2200000000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
χ3922-2-22-2-12200-112222-2-21-2-2-2-2−3−333-1-12-1-10-112-2-11-112-2-1-111-1-111-1-11122-2-2-1-1-1-1111111-21100−33000000−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−3333300002−22−200000000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
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χ4322-2-2-22-12200-1122-2-2221-2-2-2-233−3−3-1-12-1-101-1-22-11-112-2-1-11111-1-111-1-1-2-2221111-1-1-1-111-21100−3300000033−3−333−3−300003333−3−3−3−3−3−333−3−3330000−3−3−3−3333300002−2−2200000000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
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χ4622-2-2-22-12200-1122-2-2221-2-2-2-2−3−333-1-12-1-101-1-22-11-112-2-1-11111-1-111-1-1-2-2221111-1-1-1-111-211003−3000000−3−333−3−3330000−3−3−3−3333333−3−333−3−300003333−3−3−3−30000−222−200000000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
χ472-22-2002222-2-2-2-2-2000022-22-22-22-22222200000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-200002-2002-22-22-22-222-2-222-2-222-2-200000000000000000000002i−2i000000002i−2i2i−2i00000000000000
χ482-22-2002222-2-2-2-2-2000022-22-22-22-22222200000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-200002-2002-22-22-22-222-2-222-2-222-2-20000000000000000000000−2i2i00000000−2i2i−2i2i00000000000000
χ492-22-200222-22-2-2-2-2000022-22-2-22-222222200000-2-2-2-2-2-2-2-2-2-20000000000000000000022222-220000-2200-22-22-22-22-2-222-2-222-2-222000000000000000000002i−2i0000002i−2i2i−2i000000000000000000
χ502-22-200222-22-2-2-2-2000022-22-2-22-222222200000-2-2-2-2-2-2-2-2-2-20000000000000000000022222-220000-2200-22-22-22-22-2-222-2-222-2-22200000000000000000000−2i2i000000−2i2i−2i2i000000000000000000
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χ1454-4-4400-2-24002-22-42i3−2i3−2i32i3224-4-2−232323−231-2-21100000-112-22-2-1-111−i3i3i3−i300002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-122-1-100000000003−3−33−232323−23000033−3−3−3−333−3i3i3i−3i00000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ1464-4-4400-2-2-2002-222−2i32i32i3−2i322-22-223−23−2323111−1−3i32−1+3i3200000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3−i3i33-3-33i3−i3−i3i3−3−i323−i323+i32−3+i323+i32−3+i32−3−i323−i32-1-1-11+3i321−3i3200000000−2323−333−3−333−33i−3i−3i3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−3i3i3i−3i3−3−333−3−33−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22000000000000000000000000000000
χ1474-4-4400-2-2-2002-222−2i32i32i3−2i322-22-223−23−2323111−1+3i32−1−3i3200000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3−i3i3-333-3i3−i3−i3i33−i32−3−i32−3+i323+i32−3+i323+i323−i32−3−i32-1-1-11−3i321+3i320000000023−23−333−3−333−3−3i3i3i−3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−3i3i3i−3i−333−3−333−3−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ22000000000000000000000000000000
χ1484-4-4400-2-2-2002-222−2i32i32i3−2i322-22-2−232323−23111−1−3i32−1+3i3200000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3−i3i33-3-33i3−i3−i3i3−3−i323−i323+i32−3+i323+i32−3+i32−3−i323−i32-1-1-11+3i321−3i320000000023−233−3−333−3−33−3i3i3i−3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ223i−3i−3i3i−333−3−333−3ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22000000000000000000000000000000
χ1494-4-4400-2-2-2002-222−2i32i32i3−2i322-22-2−232323−23111−1+3i32−1−3i3200000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3−i3i3-333-3i3−i3−i3i33−i32−3−i32−3+i323+i32−3+i323+i323−i32−3−i32-1-1-11−3i321+3i3200000000−23233−3−333−3−333i−3i−3i3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223i−3i−3i3i3−3−333−3−332ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22000000000000000000000000000000
χ1504-4-4400-2-2-2002-2222i3−2i3−2i32i322-22-223−23−2323111−1−3i32−1+3i3200000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3i3−i3-333-3−i3i3i3−i33+i32−3+i32−3−i323−i32−3−i323−i323+i32−3+i32-1-1-11+3i321−3i320000000023−23−333−3−333−33i−3i−3i3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ223i−3i−3i3i−333−3−333−3ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22000000000000000000000000000000
χ1514-4-4400-2-2-2002-2222i3−2i3−2i32i322-22-223−23−2323111−1+3i32−1−3i3200000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3i3−i33-3-33−i3i3i3−i3−3+i323+i323−i32−3−i323−i32−3−i32−3+i323+i32-1-1-11−3i321+3i3200000000−2323−333−3−333−3−3i3i3i−3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ223i−3i−3i3i3−3−333−3−332ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22000000000000000000000000000000
χ1524-4-4400-2-2-2002-2222i3−2i3−2i32i322-22-2−232323−23111−1−3i32−1+3i3200000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3i3−i3-333-3−i3i3i3−i33+i32−3+i32−3−i323−i32−3−i323−i323+i32−3+i32-1-1-11+3i321−3i3200000000−23233−3−333−3−33−3i3i3i−3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−3i3i3i−3i3−3−333−3−33−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22000000000000000000000000000000
χ1534-4-4400-2-2-2002-2222i3−2i3−2i32i322-22-2−232323−23111−1+3i32−1−3i3200000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3i3−i33-3-33−i3i3i3−i3−3+i323+i323−i32−3−i323−i32−3−i32−3+i323+i32-1-1-11−3i321+3i320000000023−233−3−333−3−333i−3i−3i3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−3i3i3i−3i−333−3−333−3−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ22000000000000000000000000000000

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