Finite Group Databasebeta

← Group #13159999

Character table — Group #13159999

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11112222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444242424242424242424242424242424242424727272727272108108108108
order12223333344666666666666666333366666666666688121212121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424441212121212121212121212121212121244121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111
χ6111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1
χ7111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111-1-111-1-1
χ8111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-111-1-111
χ9222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000002-200
χ10222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000-2200
χ1122222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000
χ1222222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211110000
χ1322222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111110000000000000000002-2-1-1110000
χ1422222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000000000000000000-2211-1-10000
χ1522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1622222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1722222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112-222-1-1-1-1-1-1-2-21111110000000000
χ1822222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-22-2-211111122-1-1-1-1-1-10000000000
χ192222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ202222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111-2-211110000000000
χ212222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111112-2-1-122-1-1-1-111-2-211110000000000
χ222222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2211-2-21111-1-122-1-1-1-10000000000
χ232222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ242222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21111-2-2111111-2-2110000000000
χ252222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-2111111112-2-1-1-1-122-1-11111-2-2110000000000
χ262222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-221111-2-211-1-1-1-122-1-10000000000
χ272222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ282222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2111111-2-2111111-2-20000000000
χ292222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-22-2-1-1-1-1-1-122111111-2-20000000000
χ302222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-1220000000000
χ312-2-22222222-2-2-2-2-2-2-2-2-2-22222-222222-2-2-2-2-2-2-2-222222i−2i2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ322-2-22222222-2-2-2-2-2-2-2-2-2-22222-222222-2-2-2-2-2-2-2-22222−2i2i2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ332-2-2222222-22-2-2-2-2-2-2-2-2-22222-222222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-222222222222220000000000000000000000000000000000000000000000000000000000000000000000000000002-2
χ342-2-2222222-22-2-2-2-2-2-2-2-2-22222-222222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222000000000000000000000000000000000000000000000000000000000000000000000000000000-22
χ352-2-222222-12-2-2-2-2-21-2-2-2-222221-1-1-1-1-111111111-1-1-1-12i−2i2222-1-1-1-1-1-1-1-1-1-2-2-2-21111111112i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii000000000000000000003−3−i3i30000
χ362-2-222222-12-2-2-2-2-21-2-2-2-222221-1-1-1-1-111111111-1-1-1-12i−2i2222-1-1-1-1-1-1-1-1-1-2-2-2-21111111112i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii00000000000000000000−33i3−i30000
χ372-2-222222-12-2-2-2-2-21-2-2-2-222221-1-1-1-1-111111111-1-1-1-1−2i2i2222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i000000000000000000003−3i3−i30000
χ382-2-222222-12-2-2-2-2-21-2-2-2-222221-1-1-1-1-111111111-1-1-1-1−2i2i2222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000−33−i3i30000
χ392-2-222-1-1-122-2-2111-2-21112-1-1-1-222-1-1-1-2-21111112-1-1-12i−2i2-1-1-1222-1-1-1-1-1-1-2111-2-2-21111112i2i−2i−2i−i−iii−i−iii−i−iii2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii00003−33−33−300−i3i3−i3i3−i3i30000000000
χ402-2-222-1-1-122-2-2111-2-21112-1-1-1-222-1-1-1-2-21111112-1-1-12i−2i2-1-1-1222-1-1-1-1-1-1-2111-2-2-21111112i2i−2i−2i−i−iii−i−iii−i−iii2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii0000−33−33−3300i3−i3i3−i3i3−i30000000000
χ412-2-222-1-1-122-2-2111-2-21112-1-1-1-222-1-1-1-2-21111112-1-1-1−2i2i2-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111−2i−2i2i2iii−i−iii−i−iii−i−i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i00003−33−33−300i3−i3i3−i3i3−i30000000000
χ422-2-222-1-1-122-2-2111-2-21112-1-1-1-222-1-1-1-2-21111112-1-1-1−2i2i2-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111−2i−2i2i2iii−i−iii−i−iii−i−i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i0000−33−33−3300−i3i3−i3i3−i3i30000000000
χ432-2-22-12-1-122-21-211-21-211-12-1-1-22-12-1-111-2-21111-12-1-12i−2i-12-1-12-1-122-1-1-1-11-211-211-2-21111−i−iii2i2i−2i−2i−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii003−3003−3−33−i3i300−i3i3i3−i30000000000
χ442-2-22-12-1-122-21-211-21-211-12-1-1-22-12-1-111-2-21111-12-1-12i−2i-12-1-12-1-122-1-1-1-11-211-211-2-21111−i−iii2i2i−2i−2i−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00−3300−333−3i3−i300i3−i3−i3i30000000000
χ452-2-22-12-1-122-21-211-21-211-12-1-1-22-12-1-111-2-21111-12-1-1−2i2i-12-1-12-1-122-1-1-1-11-211-211-2-21111ii−i−i−2i−2i2i2iii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiii−i−i−i−i003−3003−3−33i3−i300i3−i3−i3i30000000000
χ462-2-22-12-1-122-21-211-21-211-12-1-1-22-12-1-111-2-21111-12-1-1−2i2i-12-1-12-1-122-1-1-1-11-211-211-2-21111ii−i−i−2i−2i2i2iii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiii−i−i−i−i00−3300−333−3−i3i300−i3i3i3−i30000000000
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χ1374-4-44-24-2-2-24-42-42222-422-24-2-22-21-211-1-122-1-1-1-11-2114i−4i-24-2-2-211-2-211112-4222-1-122-1-1-1-1−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000000000000000
χ1384-4-44-24-2-2-24-42-42222-422-24-2-22-21-211-1-122-1-1-1-11-211−4i4i-24-2-2-211-2-211112-4222-1-122-1-1-1-12i2i−2i−2i−4i−4i4i4i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000000000000000
χ1394-4-44-24-2-2-2-442-42222-422-24-2-22-21-211-1-122-1-1-1-11-211002-4222-1-122-1-1-1-1-24-2-2-211-2-211110000000000000000000033-3-3-3-3330000000033-3-3-3-333-3-33333-3-30000000000000000000000000000
χ1404-4-44-24-2-2-2-442-42222-422-24-2-22-21-211-1-122-1-1-1-11-211002-4222-1-122-1-1-1-1-24-2-2-211-2-2111100000000000000000000-3-33333-3-300000000-3-33333-3-333-3-3-3-3330000000000000000000000000000
χ1414-4-44-2-24-24-4422-42-422-42-2-24-2-44-2-24-22222-4-422-2-24-20022-42-42222-4-422-2-24-24-2-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44-2-24-2-24-422-42222-42-2-24-22-211-21-1-1-1-122-1-111-214i−4i-2-24-2-21111-2-21122-422-1-1-1-122-1-1−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i0000000000000000000000000000
χ1434-4-44-2-24-2-24-422-42222-42-2-24-22-211-21-1-1-1-122-1-111-21−4i4i-2-24-2-21111-2-21122-422-1-1-1-122-1-12i2i−2i−2i2i2i−2i−2i−4i−4i4i4i2i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii0000000000000000000000000000
χ1444-4-44-2-24-2-2-4422-42222-42-2-24-22-211-21-1-1-1-122-1-111-210022-422-1-1-1-122-1-1-2-24-2-21111-2-2110000000000000000000033-3-3-3-333-3-33333-3-30000000033-3-3-3-3330000000000000000000000000000
χ1454-4-44-2-24-2-2-4422-42222-42-2-24-22-211-21-1-1-1-122-1-111-210022-422-1-1-1-122-1-1-2-24-2-21111-2-21100000000000000000000-3-33333-3-333-3-3-3-33300000000-3-33333-3-30000000000000000000000000000
χ1464-4-44-2-2-244-44222-4-4222-4-2-2-24-44-2-2-24222222-4-4-2-2-2400222-4-4222222-4-4-2-2-244-2-2-2-2-2-24400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1474-4-44-2-2-24-24-4222-42222-4-2-2-242-2111-2-1-1-1-1-1-122111-24i−4i-2-2-24-2111111-2-2222-42-1-1-1-1-1-122−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ1484-4-44-2-2-24-24-4222-42222-4-2-2-242-2111-2-1-1-1-1-1-122111-2−4i4i-2-2-24-2111111-2-2222-42-1-1-1-1-1-1222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ1494-4-44-2-2-24-2-44222-42222-4-2-2-242-2111-2-1-1-1-1-1-122111-200222-42-1-1-1-1-1-122-2-2-24-2111111-2-20000000000000000000033-3-3-3-33333-3-3-3-333-3-33333-3-3000000000000000000000000000000000000
χ1504-4-44-2-2-24-2-44222-42222-4-2-2-242-2111-2-1-1-1-1-1-122111-200222-42-1-1-1-1-1-122-2-2-24-2111111-2-200000000000000000000-3-33333-3-3-3-33333-3-333-3-3-3-333000000000000000000000000000000000000

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