Finite Group Databasebeta

← Group #13170742

Character table — Group #13170742

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444333466666666612121212121212122244121212121212121236661212121212121212124446666121212121212121212121212121212121212121222444466121212121212121222466661212121212122264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-11111111111-1-1-1-1-1-111111111-1-111-1-1111-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-11-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-11-1-1-1-11111-1-1-111-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-11-11111-1-1-11111-1-111-1-1-1-1-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111-11-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-1-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-11-1-11111-1-1-1-1-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-11-1-1-1-11111-1-111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1-11111-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-111-11111-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-11-11111-1-111-1-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11111111111-1-11111-1-111-1-1-111-1-1-1-11111-1-1-11
χ17222222-12-12-12-12222222-1-122-12-1-12-1-12-1-1-122-1-1-1-10022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-12020000-1-12200-1-1-1-122-1-1-1-1-1-1-1-1220000000200-1-1-1-1200-1-1-1-10000000000
χ18222222-12-12-12-12222222-1-122-12-1-12-1-12-1-1-122-1-1-1-100-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-120-20000-1-122001111-2-2-1-1-1-1-1-1-1-1-2-20000000-2001111-20011110000000000
χ19222222-12-12-12-12222222-1-12-2-12-1-12-1-12-111-2-211110022-1-1-1-12222-1-1-1-1-2-2-2111111-20-2000011-2-200-1-11122-1-1-1-11111220000000-200-1-111-200-1-1110000000000
χ20222222-12-12-12-12222222-1-12-2-12-1-12-1-12-111-2-2111100-2-2-1-1-1-12222-1-1-1-1-2-2-2111111-202000011-2-20011-1-1-2-2-1-1-1-11111-2-2000000020011-1-120011-1-10000000000
χ21222222-12-12-12-1222-2-2-2-2-1-122-12-1-12-1-12-1-1-122-1-1-1-100221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-202000011-2-200-1-1-1-12211111111-2-20000000200-1-1-1-1-20011110000000000
χ22222222-12-12-12-1222-2-2-2-2-1-122-12-1-12-1-12-1-1-122-1-1-1-100-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2000011-2-2001111-2-211111111220000000-2001111200-1-1-1-10000000000
χ23222222-12-12-12-1222-2-2-2-2-1-12-2-12-1-12-1-12-111-2-2111100221111-2-2-2-2-1-1-1-1-2-2-211111120-20000-1-12200-1-111221111-1-1-1-1-2-20000000-200-1-11120011-1-10000000000
χ24222222-12-12-12-1222-2-2-2-2-1-12-2-12-1-12-1-12-111-2-2111100-2-21111-2-2-2-2-1-1-1-1-2-2-21111112020000-1-1220011-1-1-2-21111-1-1-1-122000000020011-1-1-200-1-1110000000000
χ2522222-12-12-122222-100002-1-12-1-12-1-122-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-102222-1-10000222222-1-100000000000022-1-1-1-1-1-1-1-1-1-102000000000-1-100-10
χ2622222-12-12-122222-100002-1-12-1-12-1-122-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-222-1-1000022-2-2-2-211000000000000-2-2-1-1-11-1-111110-2000000000110010
χ2722222-12-12-122222-100002-1-12-1-12-1-122-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-2-2110000-2-22222-1-1000000000000-2-2111-111-1-1-1-10-2000000000110010
χ2822222-12-12-122222-100002-1-12-1-12-1-122-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2110000-2-2-2-2-2-21100000000000022111111111102000000000-1-100-10
χ2922222-12-12-122222-100002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-222-1-10000-2-222-2-2-1-100000000000022-1-11111-1-1110-2000000000-1-10010
χ3022222-12-12-122222-100002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-11111111110-2222-1-10000-2-2-2-22211000000000000-2-2-1-11-11111-1-1020000000001100-10
χ3122222-12-12-122222-100002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111102-2-2-21100002222-2-2-1-1000000000000-2-211-11-1-1-1-111020000000001100-10
χ3222222-12-12-122222-100002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111022-2-211000022-2-222110000000000002211-1-1-1-111-1-10-2000000000-1-10010
χ332222-1222222-12-1-122222-12-122-1-12-1-1-1-1222-1-1-1-1-1-122002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1220-1-12222-1-1-1-1000000-1-1-1-1-1-1-1-1002200-1-120-1-100000020000-1-1-1-1000000
χ342222-1222222-12-1-122222-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-12-2011-2-222-1-111000000-1-1-1-1-1-1-1-100-2-20011-2011000000-200001111000000
χ352222-1222222-12-1-122222-12-1-22-1-12-1-1-1-12-2-211111122002222-1-1-1-1-1-1-1-1-211-2-21111-2-20-1-122-2-21111000000-1-1-1-11111002200-1-1-2011000000-2000011-1-1000000
χ362222-1222222-12-1-122222-12-1-22-1-12-1-1-1-12-2-2111111-2-2002222-1-1-1-1-1-1-1-1-211-2-21111-22011-2-2-2-211-1-1000000-1-1-1-1111100-2-2001120-1-100000020000-1-111000000
χ372222-1222222-12-1-12-2-2-2-2-12-122-1-12-1-1-1-1222-1-1-1-1-1-12200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-220-1-122-2-211-1-10000001111111100-2-200-1-120-1-1000000-200001111000000
χ382222-1222222-12-1-12-2-2-2-2-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2-2011-2-2-2-211110000001111111100220011-201100000020000-1-1-1-1000000
χ392222-1222222-12-1-12-2-2-2-2-12-1-22-1-12-1-1-1-12-2-21111112200-2-2-2-21111-1-1-1-1-211-2-211112-20-1-12222-1-1110000001111-1-1-1-100-2-200-1-1-201100000020000-1-111000000
χ402222-1222222-12-1-12-2-2-2-2-12-1-22-1-12-1-1-1-12-2-2111111-2-200-2-2-2-21111-1-1-1-1-211-2-2111122011-2-222-1-1-1-10000001111-1-1-1-10022001120-1-1000000-2000011-1-1000000
χ4122-2-2222-2-2222-2-2-2-22i2i−2i−2i22202-2-2-2-22-22-20000000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002i2i−2i−2i000000002i−2i0000000000000000000002i−2i2-200
χ4222-2-2222-2-2222-2-2-2-22i2i−2i−2i22202-2-2-2-22-22-20000000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002i2i−2i−2i00000000−2i2i000000000000000000000−2i2i-2200
χ4322-2-2222-2-2222-2-2-2-2−2i−2i2i2i22202-2-2-2-22-22-2000000000000−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000−2i−2i2i2i000000002i−2i0000000000000000000002i−2i-2200
χ4422-2-2222-2-2222-2-2-2-2−2i−2i2i2i22202-2-2-2-22-22-2000000000000−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000−2i−2i2i2i00000000−2i2i000000000000000000000−2i2i2-200
χ452-22-222222-2-2-2-22-2-22i−2i2i−2i2220-2-2222-2-2-2-200000000002i−2i2i−2i2i−2i2i−2i2i−2i2-2-2200000000000000000000002i−2i002i−2i2i−2i2i−2i00002-200000000002i−2i000002-2000000000000
χ462-22-222222-2-2-2-22-2-22i−2i2i−2i2220-2-2222-2-2-2-20000000000−2i2i2i−2i2i−2i2i−2i2i−2i2-2-220000000000000000000000−2i2i00−2i2i2i−2i2i−2i0000-220000000000−2i2i00000-22000000000000
χ472-22-222222-2-2-2-22-2-2−2i2i−2i2i2220-2-2222-2-2-2-200000000002i−2i−2i2i−2i2i−2i2i−2i2i2-2-2200000000000000000000002i−2i002i−2i−2i2i−2i2i0000-2200000000002i−2i00000-22000000000000
χ482-22-222222-2-2-2-22-2-2−2i2i−2i2i2220-2-2222-2-2-2-20000000000−2i2i−2i2i−2i2i−2i2i−2i2i2-2-220000000000000000000000−2i2i00−2i2i−2i2i−2i2i00002-20000000000−2i2i000002-2000000000000
χ492-22-222-12-1-21-212-2-22i−2i2i−2i-1-1201-2-1-1211-21−i3i300−i3−i3i3i3002i−2i−ii−ii2i−2i2i−2i-111-1000−i3i3−i3−i3i3i300000003−30000−ii3−32i−2i−ii−ii33−3−32-20000000000−ii3−3000-11−i3i30000000000
χ502-22-222-12-1-21-212-2-22i−2i2i−2i-1-1201-2-1-1211-21−i3i300−i3−i3i3i300−2i2i−ii−ii2i−2i2i−2i-111-1000−i3i3−i3−i3i3i300000003−30000i−i−33−2i2i−ii−ii33−3−3-220000000000i−i−330001-1i3−i30000000000
χ512-22-222-12-1-21-212-2-22i−2i2i−2i-1-1201-2-1-1211-21i3−i300i3i3−i3−i3002i−2i−ii−ii2i−2i2i−2i-111-1000i3−i3i3i3−i3−i30000000−330000−ii−332i−2i−ii−ii−3−3332-20000000000−ii−33000-11i3−i30000000000
χ522-22-222-12-1-21-212-2-22i−2i2i−2i-1-1201-2-1-1211-21i3−i300i3i3−i3−i300−2i2i−ii−ii2i−2i2i−2i-111-1000i3−i3i3i3−i3−i30000000−330000i−i3−3−2i2i−ii−ii−3−333-220000000000i−i3−30001-1−i3i30000000000
χ532-22-222-12-1-21-212-2-2−2i2i−2i2i-1-1201-2-1-1211-21−i3i300−i3−i3i3i3002i−2ii−ii−i−2i2i−2i2i-111-1000−i3i3−i3−i3i3i30000000−330000−ii3−32i−2ii−ii−i−3−333-220000000000−ii3−30001-1i3−i30000000000
χ542-22-222-12-1-21-212-2-2−2i2i−2i2i-1-1201-2-1-1211-21−i3i300−i3−i3i3i300−2i2ii−ii−i−2i2i−2i2i-111-1000−i3i3−i3−i3i3i30000000−330000i−i−33−2i2ii−ii−i−3−3332-20000000000i−i−33000-11−i3i30000000000
χ552-22-222-12-1-21-212-2-2−2i2i−2i2i-1-1201-2-1-1211-21i3−i300i3i3−i3−i3002i−2ii−ii−i−2i2i−2i2i-111-1000i3−i3i3i3−i3−i300000003−30000−ii−332i−2ii−ii−i33−3−3-220000000000−ii−330001-1−i3i30000000000
χ562-22-222-12-1-21-212-2-2−2i2i−2i2i-1-1201-2-1-1211-21i3−i300i3i3−i3−i300−2i2ii−ii−i−2i2i−2i2i-111-1000i3−i3i3i3−i3−i300000003−30000i−i3−3−2i2ii−ii−i33−3−32-20000000000i−i3−3000-11i3−i30000000000
χ572-2-22222-2-2-2-2-22-2222-2-222220-22-2-2-2-22-22000000002-2002-2-222-2-222-22-20000000000002-22-20000000000002-2-220000002-2002-2000000000000000002-2000000
χ582-2-22222-2-2-2-2-22-2222-2-222220-22-2-2-2-22-2200000000-22002-2-222-2-222-22-2000000000000-22-220000000000002-2-22000000-2200-2200000000000000000-22000000
χ592-2-22222-2-2-2-2-22-222-222-22220-22-2-2-2-22-22000000002-200-222-2-222-22-22-20000000000002-22-2000000000000-222-2000000-22002-200000000000000000-22000000
χ602-2-22222-2-2-2-2-22-222-222-22220-22-2-2-2-22-2200000000-2200-222-2-222-22-22-2000000000000-22-22000000000000-222-20000002-200-22000000000000000002-2000000
χ612-2-22-122-2-2-2-2121-122-2-22-12-10-2-11-211-112003−33−33−32-2002-2-22-111-1-11-1103−3003−33−3000-112-2003−33−3000000-111-13−33−3002-200-11003−3000000000003−3-11000000
χ622-2-22-122-2-2-2-2121-122-2-22-12-10-2-11-211-112003−33−33−3-22002-2-22-111-1-11-1103−3003−33−30001-1-22003−3−33000000-111-13−33−300-22001-100−3300000000000−331-1000000
χ632-2-22-122-2-2-2-2121-122-2-22-12-10-2-11-211-11200−33−33−332-2002-2-22-111-1-11-110−3300−33−33000-112-200−33−33000000-111-1−33−33002-200-1100−3300000000000−33-11000000
χ642-2-22-122-2-2-2-2121-122-2-22-12-10-2-11-211-11200−33−33−33-22002-2-22-111-1-11-110−3300−33−330001-1-2200−333−3000000-111-1−33−3300-22001-1003−3000000000003−31-1000000
χ652-2-22-122-2-2-2-2121-12-222-2-12-10-2-11-211-112003−33−33−32-200-222-21-1-11-11-1103−3003−33−3000-112-200−333−30000001-1-11−33−3300-2200-11003−300000000000−331-1000000
χ662-2-22-122-2-2-2-2121-12-222-2-12-10-2-11-211-112003−33−33−3-2200-222-21-1-11-11-1103−3003−33−30001-1-2200−33−330000001-1-11−33−33002-2001-100−33000000000003−3-11000000
χ672-2-22-122-2-2-2-2121-12-222-2-12-10-2-11-211-11200−33−33−332-200-222-21-1-11-11-110−3300−33−33000-112-2003−3−330000001-1-113−33−300-2200-1100−33000000000003−31-1000000
χ682-2-22-122-2-2-2-2121-12-222-2-12-10-2-11-211-11200−33−33−33-2200-222-21-1-11-11-110−3300−33−330001-1-22003−33−30000001-1-113−33−3002-2001-1003−300000000000−33-11000000
χ6944444-2-2-2-2-2-24-244-20000-21-241-2-21-2-2-2-21-2-244-2-2-2-20044000000001111-2-2-21111110040000000000-2-2-2-2-2-200000000000000000-200111100000000000000000
χ7044444-2-2-2-2-2-24-244-20000-21-241-2-21-2-2-2-21-2-244-2-2-2-200-4-4000000001111-2-2-211111100-4000000000022222200000000000000000200-1-1-1-100000000000000000
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χ8744-4-4-24-2-424-2-2222-44i4i−4i−4i1-2-20-22-1221-1-2200003i−3i−3i3i0000−2i−2i2i2i−2i−2i2i2i11-1-1000003i−3i−3i3i0000000000000000000ii−i−i-333-3000000000000000000000000000000000
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χ914-44-44-24-242-4-4-44-4200004-2-20224-2-2-4-42200000000004i−4i00000000-222-200000000000000000000004i−4i00−2i2i00000000000000000000−2i2i0000000000000000000
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χ994-44-4-24-24-2-4222-22-44i−4i4i−4i1-2-20221-2-2-1-122−2i32i300i3i3−i3−i30000−2i2i−2i2i−2i2i−2i2i1-1-11000−2i32i3i3i3−i3−i3000000023−230000000000i−ii−i−3−333000000000000000000000000000000000
χ1004-44-4-24-24-2-4222-22-44i−4i4i−4i1-2-20221-2-2-1-1222i3−2i300−i3−i3i3i30000−2i2i−2i2i−2i2i−2i2i1-1-110002i3−2i3−i3−i3i3i30000000−23230000000000i−ii−i33−3−3000000000000000000000000000000000
χ1014-44-4-24-24-2-4222-22-4−4i4i−4i4i1-2-20221-2-2-1-122−2i32i300i3i3−i3−i300002i−2i2i−2i2i−2i2i−2i1-1-11000−2i32i3i3i3−i3−i30000000−23230000000000−ii−ii33−3−3000000000000000000000000000000000
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χ1104-4-44-24-2-42-422-22-24-444-41-2-202-2-122-112-200−23233−33−300002-2-222-2-221-11-10−2323003−33−300000000023−2300000000-111-1−33−33000000000000000000000000000000000
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χ1144-4-44-2-242-42-4242-2-20000-2-2102122-12-2-1-200−2323−2323−2323-4400000000001-11-103−3003−33−30002-22-2000023−2300000000000000000000-1100−33000000000000000000000
χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-4-4-4-4-4-4-4-4-40000222-82222222224444-2-2-2-2000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-444-4-484-8-840000-42-40244-24-44-4-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-88-8-4-48-484-84-8-4440000-4-4204-2-4-4244-24000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-4-44444-44400002220-2-2222-2-2-2-2−4i34i3002i32i3−2i3−2i3000000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4-4-44444-44400002220-2-2222-2-2-2-24i3−4i300−2i3−2i32i32i3000000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-444444-44-4-400002220-22-2-2-2-22-2200−434323−2323−23000000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).