Finite Group Databasebeta

← Group #13168246

Character table — Group #13168246

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212224444121212123666121212121212121244466661212121212121212121212121212121212121212121244121212126612121212121212122224466661212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-111111111-1-11111-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-11-1-11-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-111-1-11111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-111-1-1-1-11111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1111-1-1-11111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-111-1-1-1-1-1-11111111111111-1-1-1-1-1111-11-1-111-1-1-1-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111111-1-111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-111111-1-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1111111-1-1-111111-1-11-11-1-111-1-1-1-1111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1111-1-1-11111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-111111-1-1-1-1-111-1-1-1-111-1-1-111
χ17222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-120222-1-1-1-100-1-10000-1-1220000000022-1-1-1-1-1-122-1-1-1-1-1-10200000-1-10000000
χ18222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-222-1-1-1-100110000112200000000-2-21111-1-1-2-2-1-111110-200000110000000
χ19222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1202-2-2111100-1-10000-1-1-2-200000000-2-21111112211-1-1-1-10-200000110000000
χ20222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-211110011000011-2-20000000022-1-1-1-111-2-21111110200000-1-10000000
χ21222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-11111111120-222-1-11100110000-1-1-2-20000000022-1-1-1-1-1-12-21111-1-10-200000110000000
χ22222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-111111111-20222-1-11100-1-1000011-2-200000000-2-21111-1-1-2211-1-1110200000-1-10000000
χ23222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-11111111120-2-2-211-1-100110000-1-12200000000-2-21111112-2-1-111-1-10200000-1-10000000
χ24222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-111111111-202-2-211-1-100-1-1000011220000000022-1-1-1-111-22-1-1-1-1110-200000110000000
χ2522222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1020-1-12222-1-100222200-1-1-1-1-1-1-1-1-1-1000000-1-100-1-1000020020-1-100-1-100000
χ2622222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-10-20-1-122221100-2-2-2-200-1-111111111000000-1-100-1-10000-200-2011001100000
χ2722222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-102011-2-2-2-2-1-10022220011-1-1-1-1-1-1-1-10000001100110000-200-2011001100000
χ2822222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-10-2011-2-2-2-21100-2-2-2-2001111111111000000110011000020020-1-100-1-100000
χ2922222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-2111122-2-222-1-1-1-1-1-1-1-111-2-211110-20-1-122-2-21100-2-2220011-1-1-1-11111000000-1-100110000-200201100-1-100000
χ3022222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-21111020-1-122-2-2-1-10022-2-200111111-1-1-1-1000000-1-100110000200-20-1-1001100000
χ3122222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211110-2011-2-2221100-2-22200-1-1-1-1-1-111110000001100-1-10000200-20-1-1001100000
χ3222222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-21111-2-222-2-21111-1-1-1-111-2-2111102011-2-222-1-10022-2-200-1-11111-1-1-1-10000001100-1-10000-200201100-1-100000
χ332222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12220000002222-1-1-1-12200-1-1-1-1-1-1-1-100000000-1-100-1-1-1-10020200000000-1-10
χ342222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1-22-200000022-2-2-1-1-1-1-2-200-1-1-1-1-1-1-1-1000000001100111100-20-200000000110
χ352222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-22000000-2-222111122001111111100000000-1-100-1-1-1-100-20-200000000110
χ362222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2000000-2-2-2-21111-2-2001111111100000000110011110020200000000-1-10
χ372222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-211110000222222-1-1-1-1-2-21111112-2-2000000-2-2-2-211-1-12200-1-1-1-1111100000000-110011-1-100-202000000001-10
χ382222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-211110000222222-1-1-1-1-2-2111111-2-22000000-2-22211-1-1-2-200-1-1-1-11111000000001-100-1-1110020-200000000-110
χ392222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-1-2-211111122-200000022-2-2-1-11122001111-1-1-1-100000000-110011-1-10020-200000000-110
χ402222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-1-2-2111111-2220000002222-1-111-2-2001111-1-1-1-1000000001-100-1-11100-202000000001-10
χ4122-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-22000000000000002i−2i2i2i−2i−2i2-2-22000000000000000000000002i−2i00002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-22000000000000002i−2i2i2i−2i−2i2-2-22000000000000000000000002i−2i00002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-2200000000000000−2i2i−2i−2i2i2i2-2-2200000000000000000000000−2i2i0000−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-2200000000000000−2i2i−2i−2i2i2i2-2-2200000000000000000000000−2i2i0000−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-22-22222i−2i-222-2-22-2-2-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i00000022-2-22i−2i2i−2i2i2i−2i−2i0002-22-22i−2i00000000002i−2i000000000000002-2002i−2i00000000000000000000
χ462-22-22222i−2i-222-2-22-2-2-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i00000022-2-22i−2i2i−2i2i2i−2i−2i000-22-22−2i2i0000000000−2i2i00000000000000-2200−2i2i00000000000000000000
χ472-22-2222−2i2i-222-2-22-2-2-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i00000022-2-2−2i2i−2i2i−2i−2i2i2i0002-22-2−2i2i0000000000−2i2i000000000000002-200−2i2i00000000000000000000
χ482-22-2222−2i2i-222-2-22-2-2-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i00000022-2-2−2i2i−2i2i−2i−2i2i2i000-22-222i−2i00000000002i−2i00000000000000-22002i−2i00000000000000000000
χ492-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i2-22i−2i000000-1-111−ii−ii−i−iii0002-2-11−ii00−i3i300003−32i−2i00000000003−33−3-1100−ii−i3i33−30000000−i3i30000000
χ502-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i2-22i−2i000000-1-111−ii−ii−i−iii0002-2-11−ii00i3−i30000−332i−2i0000000000−33−33-1100−iii3−i3−330000000i3−i30000000
χ512-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i-22−2i2i000000-1-111−ii−ii−i−iii000-221-1i−i00−i3i300003−3−2i2i0000000000−33−331-100i−i−i3i33−30000000i3−i30000000
χ522-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i-22−2i2i000000-1-111−ii−ii−i−iii000-221-1i−i00i3−i30000−33−2i2i00000000003−33−31-100i−ii3−i3−330000000−i3i30000000
χ532-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i2-2−2i2i000000-1-111i−ii−iii−i−i0002-2-11i−i00−i3i30000−33−2i2i0000000000−33−33-1100i−i−i3i3−330000000−i3i30000000
χ542-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i2-2−2i2i000000-1-111i−ii−iii−i−i0002-2-11i−i00i3−i300003−3−2i2i00000000003−33−3-1100i−ii3−i33−30000000i3−i30000000
χ552-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i-222i−2i000000-1-111i−ii−iii−i−i000-221-1−ii00−i3i30000−332i−2i00000000003−33−31-100−ii−i3i3−330000000i3−i30000000
χ562-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i-222i−2i000000-1-111i−ii−iii−i−i000-221-1−ii00i3−i300003−32i−2i0000000000−33−331-100−iii3−i33−30000000−i3i30000000
χ572-22-22-122i−2i1-12-2-22-2-21-12-1-2-111-1121-2−ii2i−2i2i−2i−i−iii2-22i−2i003−33−3-1-111−ii2i−2i−i−iii000-112-22i−2i−i3i300000000−ii3−33−3−i3−i3i3i3000000-1100−ii000000000−i3i3003−300000
χ582-22-22-122i−2i1-12-2-22-2-21-12-1-2-111-1121-2−ii2i−2i2i−2i−i−iii2-22i−2i00−33−33-1-111−ii2i−2i−i−iii000-112-22i−2ii3−i300000000−ii−33−33i3i3−i3−i3000000-1100−ii000000000i3−i300−3300000
χ592-22-22-122i−2i1-12-2-22-2-21-12-1-2-111-1121-2−ii2i−2i2i−2i−i−iii-22−2i2i003−33−3-1-111−ii2i−2i−i−iii0001-1-22−2i2i−i3i300000000i−i3−33−3−i3−i3i3i30000001-100i−i000000000i3−i300−3300000
χ602-22-22-122i−2i1-12-2-22-2-21-12-1-2-111-1121-2−ii2i−2i2i−2i−i−iii-22−2i2i00−33−33-1-111−ii2i−2i−i−iii0001-1-22−2i2ii3−i300000000i−i−33−33i3i3−i3−i30000001-100i−i000000000−i3i3003−300000
χ612-22-22-12−2i2i1-12-2-22-2-21-12-1-2-111-1121-2i−i−2i2i−2i2iii−i−i2-2−2i2i003−33−3-1-111i−i−2i2iii−i−i000-112-2−2i2ii3−i300000000i−i3−33−3i3i3−i3−i3000000-1100i−i000000000i3−i3003−300000
χ622-22-22-12−2i2i1-12-2-22-2-21-12-1-2-111-1121-2i−i−2i2i−2i2iii−i−i2-2−2i2i00−33−33-1-111i−i−2i2iii−i−i000-112-2−2i2i−i3i300000000i−i−33−33−i3−i3i3i3000000-1100i−i000000000−i3i300−3300000
χ632-22-22-12−2i2i1-12-2-22-2-21-12-1-2-111-1121-2i−i−2i2i−2i2iii−i−i-222i−2i003−33−3-1-111i−i−2i2iii−i−i0001-1-222i−2ii3−i300000000−ii3−33−3i3i3−i3−i30000001-100−ii000000000−i3i300−3300000
χ642-22-22-12−2i2i1-12-2-22-2-21-12-1-2-111-1121-2i−i−2i2i−2i2iii−i−i-222i−2i00−33−33-1-111i−i−2i2iii−i−i0001-1-222i−2i−i3i300000000−ii−33−33−i3−i3i3i30000001-100−ii000000000i3−i3003−300000
χ6544444-2-244-2-2-2-2444-2-2-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-24444000000111111-2-21111000-2-2-2-2-2-20000000000-2-20000000000000011001100000000000000000000
χ6644444-2-244-2-2-2-2444-2-2-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-2-4-4-4-4000000111111-2-2111100022222200000000002200000000000000-1-100-1-100000000000000000000
χ6744444-2-2-4-4-2-2-2-2444-2-2-2-21-21-21-2-2-21-222-4-422222244-4-40000001111-1-122-1-1-1-1000-2-2-2-222000000000022000000000000001100-1-100000000000000000000
χ6844444-2-2-4-4-2-2-2-2444-2-2-2-21-21-21-2-2-21-222-4-4222222-4-4440000001111-1-122-1-1-1-10002222-2-20000000000-2-200000000000000-1-1001100000000000000000000
χ694444-24-24444-2-2-2-2-2-24-21-21-2-2-2-2-21-2144-2-2-2-2-2-2-2-200000000001111-2-211111140400000000-2-20000-2-2000000000000000000-2-20011110000000000000000
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χ874-44-44-2-24i−4i2-2-22-44-422-2-21212-1-22-2-12−2i2i4i−4i−2i2i−2i−2i2i2i4-44i−4i00000011-1-1i−i−2i2iii−i−i000-22-22−2i2i0000000000−2i2i000000000000001-100i−i00000000000000000000
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χ1024-4-4444-200-4-42-2-4-44244-2-2-22-42-442-2200000000000000000000-22-2200000000000000000000000000000000000000023−23−232300000000000000000000000000
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χ1084-4-44-2-240022-4422-2-4-21-2-2-22-12-112-220000003i−3i−3i3i000000−2i32i32i3−2i31-11-100003i−3i−3i3i000000000000023−23000000i3−i3−i3i3−333−300000000000000000000000000000000
χ1094-4-44-2-240022-4422-2-4-21-2-2-22-12-112-220000003i−3i−3i3i0000002i3−2i3−2i32i31-11-100003i−3i−3i3i0000000000000−2323000000−i3i3i3−i33−3−3300000000000000000000000000000000
χ1104-4-44-2-240022-4422-2-4-21-2-2-22-12-112-22000000−3i3i3i−3i000000−2i32i32i3−2i31-11-10000−3i3i3i−3i0000000000000−2323000000i3−i3−i3i33−3−3300000000000000000000000000000000
χ1114-4-44-2-240022-4422-2-4-21-2-2-22-12-112-22000000−3i3i3i−3i0000002i3−2i3−2i32i31-11-10000−3i3i3i−3i000000000000023−23000000−i3i3i3−i3−333−300000000000000000000000000000000
χ1128888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ11488-8-88-4-400-44448-8-8-44-4-424-2-42444-2-4000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-48-4008-844-444-4-8-42-4-24-4-444-242000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-4-4-400-4444-444-44222-2-222-2-2-2-22000000-66-660000000000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-48i−8i4-4-444-4444222-22-2-22-22-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4−8i8i4-4-444-4444222-22-2-22-22-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-4-400444-4-8-884-4-4-42-4-24-24-4424000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-400444-444-44-42222-2-2-2-22-22-20000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).