Finite Group Databasebeta

← Group #13169178

Character table — Group #13169178

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212224444441212121212121212366612121212121212121244666612121212121212121212121212121212121212122244661212121212121212244466661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111111111111111111-11111111111-1-1-1-1-1-111111111-1-111111-111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111-11-1-1-1-111-1-1111111111111111111-1-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1-11-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-111-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-11-1-1-1-111-11-1-1-1-11111-1-1-1-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-1-1-11111-1111-1-1-1-111-1-11-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1111-1-1-1-111-1-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-11-11111-1-1-11-1-1-1-11111-1-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1111-11-111-1-111-1-111-11-1
χ17222222-12-1-12-12222-1-122-12-1-12-1-12-1-1-122-1-1-1-100222222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1020000-1-10022-1-1-1-122-1-1-1-1-1-1-1-12200000200-1-1-1-12000-1-1-1-1000000000
χ18222222-12-1-12-12222-1-122-12-1-12-1-12-1-1-122-1-1-1-10022-2-222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-20000-1-100221111-2-2-1-1-1-1-1-1-1-1-2-200000-2001111-20001111000000000
χ19222222-12-1-12-12222-1-122-12-1-12-1-12-1-1-122-1-1-1-100-2-222-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10200001100-2-2-1-1-1-12211111111-2-200000200-1-1-1-1-20001111000000000
χ20222222-12-1-12-12222-1-122-12-1-12-1-12-1-1-122-1-1-1-100-2-2-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-200001100-2-21111-2-2111111112200000-20011112000-1-1-1-1000000000
χ21222222-12-1-12-12222-1-12-2-12-1-12-1-12-111-2-21111002222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-20000110022-1-11122-1-1-1-11111-2-200000-200-1-1112000-1-111000000000
χ22222222-12-1-12-12222-1-12-2-12-1-12-1-12-111-2-211110022-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-211111102000011002211-1-1-2-2-1-1-1-11111220000020011-1-1-200011-1-1000000000
χ23222222-12-1-12-12222-1-12-2-12-1-12-1-12-111-2-2111100-2-2222211112222-1-1-1-1-2-2-21111110-20000-1-100-2-2-1-111221111-1-1-1-12200000-200-1-111-200011-1-1000000000
χ24222222-12-1-12-12222-1-12-2-12-1-12-1-12-111-2-2111100-2-2-2-22211112222-1-1-1-1-2-2-2111111020000-1-100-2-211-1-1-2-21111-1-1-1-1-2-20000020011-1-12000-1-111000000000
χ2522222-12222-122-1-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1222200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-12022-1-122-1-1-1-1000000-1-1-1-1-1-1-1-10022-1-120-1-1000000020000-1-1-1-100000
χ2622222-12222-122-1-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-12022-1-1-2-2-1-1110000001111111100-2-2-1-120-1-10000000-20000111100000
χ2722222-12222-122-1-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-22200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20-2-2112211-1-1000000-1-1-1-1-1-1-1-100-2-211-20110000000-20000111100000
χ2822222-12222-122-1-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-2-211-2-2111100000011111111002211-2011000000020000-1-1-1-100000
χ2922222-12222-122-1-122-1-1-22-12-1-1-1-1-12-2-2111111222200-2-222221111-1-1-1-1-211-2-21111-2022-1-1-2-211-1-1000000-1-1-1-111110022-1-1-20110000000-20000-1-11100000
χ3022222-12222-122-1-122-1-1-22-12-1-1-1-1-12-2-211111122-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-2022-1-12211110000001111-1-1-1-100-2-2-1-1-201100000002000011-1-100000
χ3122222-12222-122-1-122-1-1-22-12-1-1-1-1-12-2-2111111-2-22200-2-222221111-1-1-1-1-211-2-2111120-2-211-2-2-1-1-1-1000000-1-1-1-1111100-2-21120-1-100000002000011-1-100000
χ3222222-12222-122-1-122-1-1-22-12-1-1-1-1-12-2-2111111-2-2-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-2-21122-1-1110000001111-1-1-1-100221120-1-10000000-20000-1-11100000
χ332222-122-12222-122-1-12-12-1-1-12-122-1-1222222222200220000000000-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1220022002222-1-1000000000000-1-1-1-1-1-1-1-1-1-1022000000000-1-1-100
χ342222-122-12222-122-1-12-12-1-1-12-122-1-1222222222200-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-122002200-2-2-2-211000000000000-1-1-11-1-111110-2-200000000011100
χ352222-122-12222-122-1-12-12-1-1-12-122-1-122222222-2-200220000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-2-200-2-2002222-1-1000000000000111-111-1-1-1-10-2-200000000011100
χ362222-122-12222-122-1-12-12-1-1-12-122-1-122222222-2-200-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-200-2-200-2-2-2-2110000000000001111111111022000000000-1-1-100
χ372222-122-12222-122-1-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200220000000000-1-1-1-1111111111-2-2-1-12200-2-20022-2-2-1-1000000000000-1-11111-1-1110-22000000000-1-1100
χ382222-122-12222-122-1-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200-2-20000000000-1-1-1-1111111111-22-1-12200-2-200-2-22211000000000000-1-11-11111-1-102-200000000011-100
χ392222-122-12222-122-1-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200220000000000-1-1-1-11111111112-211-2-200220022-2-2-1-100000000000011-11-1-1-1-11102-200000000011-100
χ402222-122-12222-122-1-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200-2-20000000000-1-1-1-11111111112211-2-2002200-2-2221100000000000011-1-1-1-111-1-10-22000000000-1-1100
χ4122-2-2222-22-2-2-222-2-22220-2-2222-2-2-2-20000000000002i−2i2i−2i00002i2i−2i−2i2-2-220000000000000002i−2i00002i−2i002i−2i00002i2i−2i−2i2-2000000002i−2i000000002-2000000000
χ4222-2-2222-22-2-2-222-2-22220-2-2222-2-2-2-20000000000002i−2i−2i2i0000−2i−2i2i2i2-2-22000000000000000−2i2i00002i−2i002i−2i0000−2i−2i2i2i-22000000002i−2i00000000-22000000000
χ4322-2-2222-22-2-2-222-2-22220-2-2222-2-2-2-2000000000000−2i2i2i−2i00002i2i−2i−2i2-2-220000000000000002i−2i0000−2i2i00−2i2i00002i2i−2i−2i-2200000000−2i2i00000000-22000000000
χ4422-2-2222-22-2-2-222-2-22220-2-2222-2-2-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i2-2-22000000000000000−2i2i0000−2i2i00−2i2i0000−2i−2i2i2i2-200000000−2i2i000000002-2000000000
χ4522-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i300002i−2i2i−2i33−3−32i2i−2i−2i-111-1000−i3i3−i3−i3i3i3000000−ii0000−ii3−32i−2i33−3−3−i−iii2-200000000−ii3−30000−i3i3-11000000000
χ4622-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i300002i−2i−2i2i−3−333−2i−2i2i2i-111-1000−i3i3−i3−i3i3i3000000i−i0000−ii3−32i−2i−3−333ii−i−i-2200000000−ii3−30000i3−i31-1000000000
χ4722-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i30000−2i2i2i−2i33−3−32i2i−2i−2i-111-1000−i3i3−i3−i3i3i3000000−ii0000i−i−33−2i2i33−3−3−i−iii-2200000000i−i−330000i3−i31-1000000000
χ4822-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i30000−2i2i−2i2i−3−333−2i−2i2i2i-111-1000−i3i3−i3−i3i3i3000000i−i0000i−i−33−2i2i−3−333ii−i−i2-200000000i−i−330000−i3i3-11000000000
χ4922-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i300002i−2i2i−2i−3−3332i2i−2i−2i-111-1000i3−i3i3i3−i3−i3000000−ii0000−ii−332i−2i−3−333−i−iii2-200000000−ii−330000i3−i3-11000000000
χ5022-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i300002i−2i−2i2i33−3−3−2i−2i2i2i-111-1000i3−i3i3i3−i3−i3000000i−i0000−ii−332i−2i33−3−3ii−i−i-2200000000−ii−330000−i3i31-1000000000
χ5122-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i30000−2i2i2i−2i−3−3332i2i−2i−2i-111-1000i3−i3i3i3−i3−i3000000−ii0000i−i3−3−2i2i−3−333−i−iii-2200000000i−i3−30000−i3i31-1000000000
χ5222-2-222-1-2-11-2122-2-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i30000−2i2i−2i2i33−3−3−2i−2i2i2i-111-1000i3−i3i3i3−i3−i3000000i−i0000i−i3−3−2i2i33−3−3ii−i−i2-200000000i−i3−30000i3−i3-11000000000
χ532-2-222222-22-2-2-2-22-2222022-2-2-22-2-2-2000000002-22i−2i00002i−2i2i−2i000022-2-2000000000002-22-200002i−2i0000002i−2i2i−2i0000002i−2i2-200000000000000002i−2i0000000
χ542-2-222222-22-2-2-2-22-2222022-2-2-22-2-2-2000000002-2−2i2i0000−2i2i−2i2i000022-2-2000000000002-22-20000−2i2i000000−2i2i−2i2i000000−2i2i2-20000000000000000−2i2i0000000
χ552-2-222222-22-2-2-2-22-2222022-2-2-22-2-2-200000000-222i−2i00002i−2i2i−2i000022-2-200000000000-22-2200002i−2i0000002i−2i2i−2i000000−2i2i-220000000000000000−2i2i0000000
χ562-2-222222-22-2-2-2-22-2222022-2-2-22-2-2-200000000-22−2i2i0000−2i2i−2i2i000022-2-200000000000-22-220000−2i2i000000−2i2i−2i2i0000002i−2i-2200000000000000002i−2i0000000
χ572-2-222-122-221-2-21-1-22-1-102-1-211-111-2003−33−33−32-22i−2i00002i−2i2i−2i−i3i3−i3i3-1-11103−3003−33−3002-2-11003−3−ii000000−ii−ii−i3i3−i3i3002i−2i-11003−3000000000000−ii−i3i300000
χ582-2-222-122-221-2-21-1-22-1-102-1-211-111-2003−33−33−32-2−2i2i0000−2i2i−2i2ii3−i3i3−i3-1-11103−3003−33−3002-2-11003−3i−i000000i−ii−ii3−i3i3−i300−2i2i-11003−3000000000000i−ii3−i300000
χ592-2-222-122-221-2-21-1-22-1-102-1-211-111-2003−33−33−3-222i−2i00002i−2i2i−2i−i3i3−i3i3-1-11103−3003−33−300-221-100−33−ii000000−ii−ii−i3i3−i3i300−2i2i1-100−33000000000000i−ii3−i300000
χ602-2-222-122-221-2-21-1-22-1-102-1-211-111-2003−33−33−3-22−2i2i0000−2i2i−2i2ii3−i3i3−i3-1-11103−3003−33−300-221-100−33i−i000000i−ii−ii3−i3i3−i3002i−2i1-100−33000000000000−ii−i3i300000
χ612-2-222-122-221-2-21-1-22-1-102-1-211-111-200−33−33−332-22i−2i00002i−2i2i−2ii3−i3i3−i3-1-1110−3300−33−33002-2-1100−33−ii000000−ii−iii3−i3i3−i3002i−2i-1100−33000000000000−iii3−i300000
χ622-2-222-122-221-2-21-1-22-1-102-1-211-111-200−33−33−332-2−2i2i0000−2i2i−2i2i−i3i3−i3i3-1-1110−3300−33−33002-2-1100−33i−i000000i−ii−i−i3i3−i3i300−2i2i-1100−33000000000000i−i−i3i300000
χ632-2-222-122-221-2-21-1-22-1-102-1-211-111-200−33−33−33-222i−2i00002i−2i2i−2ii3−i3i3−i3-1-1110−3300−33−3300-221-1003−3−ii000000−ii−iii3−i3i3−i300−2i2i1-1003−3000000000000i−i−i3i300000
χ642-2-222-122-221-2-21-1-22-1-102-1-211-111-200−33−33−33-22−2i2i0000−2i2i−2i2i−i3i3−i3i3-1-1110−3300−33−3300-221-1003−3i−i000000i−ii−i−i3i3−i3i3002i−2i1-1003−3000000000000−iii3−i300000
χ6544444-2-24-2-2-2-24-2-24-21-24-2-2-21-211-2-2-2-2-2-2111100440044-2-2-2-2-2-2-2-211114-2-2-2-21111000000-2-200-2-2000000111111110000000000000000000000000000000
χ6644444-2-24-2-2-2-24-2-24-21-24-2-2-21-211-2-2-2-2-2-2111100-4-400-4-42222222211114-2-2-2-21111000000220022000000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ6744444-2-24-2-2-2-24-2-24-21-2-4-2-2-21-211-2-22222-1-1-1-1004400-4-4-2-2-2-222221111-42222-1-1-1-10000002200-2-20000001111-1-1-1-10000000000000000000000000000000
χ6844444-2-24-2-2-2-24-2-24-21-2-4-2-2-21-211-2-22222-1-1-1-100-4-400442222-2-2-2-21111-42222-1-1-1-1000000-2-20022000000-1-1-1-111110000000000000000000000000000000
χ694444-24-2-2-2-24-2-244-21-2-241-21-2-2-2-2-21-2-244-2-2-2-200004400000000001111-2-2-2111111040000000000-2-2-2-2-2-2000000000000000-200111100000000000000000
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χ8144-4-44-2-2-4-22224-22-4-21-2022-21-2-1-1222i3−2i300−i3−i3i3i30000004i−4i−23−232323−2i−2i2i2i1-1-110002i3−2i3−i3−i3i3i3000000−2i2i000000000033−3−3ii−i−i0000000000000000000000000000000
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χ924-44-44-24-4-4-4-24-42244-2-20-42-4222-2-240000000000000000000023−23−2323-22-22000000000000000000000000000000023−23−23230000000000000000000000000000000
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χ964-44-44-2-2-422-2-2-4224-21-20222-12-11-2-20000−3i3i3i−3i00000000−2i32i32i3−2i3−232323−231-11-100000−3i3i3i−3i000000000000000000i3−i3−i3i33−3−330000000000000000000000000000000
χ974-44-44-2-2-422-2-2-4224-21-20222-12-11-2-20000−3i3i3i−3i000000002i3−2i3−2i32i323−23−23231-11-100000−3i3i3i−3i000000000000000000−i3i3i3−i3−333−30000000000000000000000000000000
χ984-44-4-2442-4-4442-4-4-2-24-20222-42-44-2-2000000000000000000000000-22-220000000000000000000000000000000000000000000000000000000000000−2i32i3000
χ994-44-4-2442-4-4442-4-4-2-24-20222-42-44-2-2000000000000000000000000-22-2200000000000000000000000000000000000000000000000000000000000002i3−2i3000
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χ1064-4-44-244-2-44-4-42-442-24-20-2-22-424-422000000004-400000000000000-2-22200000000000-224-4000000000000000000000000-220000000000000000000000000
χ1074-4-44-244-2-44-4-42-442-24-20-2-22-424-42200000000-4400000000000000-2-222000000000002-2-440000000000000000000000002-20000000000000000000000000
χ1084-4-44-2-24-2-442-422-22-2-210-2122-1-22-120023−2323−2323−234-40000000000000011-1-10−3300−33−3300-22-220023−23000000000000000000001-100−33000000000000000000000
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χ1104-4-44-2-24-2-442-422-22-2-210-2122-1-22-1200−2323−2323−23234-40000000000000011-1-103−3003−33−300-22-2200−2323000000000000000000001-1003−3000000000000000000000
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χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
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χ11588-8-8-4-4-44-4444-4-4442220-2-2222-2-2-2-2−4i34i3002i32i3−2i3−2i30000000000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-44-4444-4-4442220-2-2222-2-2-2-24i3−4i300−2i3−2i32i32i30000000000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-88-8-48-44448-44-8-8-42-4-40-24-2444-4-420000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1198-88-8-4-4-4444-4-4444-42220-2-2-2-2-2-222200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
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χ1218-8-88-48-4-44-4-844-8842-4-402-4-244-444-200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
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χ1238-8-88-4-4-4-44-44444-44222022-2-2-22-2-2-200−434323−2323−230000000000000000-1-111023−2300−33−33000000000000000000000000000000000000000000000000000000000

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