Finite Group Databasebeta

← Group #13170752

Character table — Group #13170752

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444333466666666612121212121212124444121212121212121236661212121212121212124441212121212121212121212121212121212121212121212122222221212121212121212121224466666666121244122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-1111111-1-1-1-11111-1-11111111111-1-1-1-11-11111-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11111-1-1-1-1111111-1-11111111111-1-111-1-1-11-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-11-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1111-1111-1-1-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-11111-1-1-111-1-1-1-111-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-1111111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111111111-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-11-1-1-1-1-1-11111-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-11-111-1-1-1-1-1-11111-11
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
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1111-1-1-1-111-111-1-1-1-111-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-11-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1111111-1-1-1-1-1-1-11
χ17222222-12-1-1222-12222222-1-122-1-1-12-1-12-1-1-122-1-1-1-100222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1022-1-10000-1-1-1-1220022-1-1-1-1-1-1-1-1002200020000-1-1-1-12000000-1-1-1-1000000
χ18222222-12-1-1222-12222222-1-122-1-1-12-1-12-1-1-122-1-1-1-100-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-102-2-1-1000011112200-2-2-1-1-1-1-1-1-1-100-2-2000-200001111-20000001111000000
χ19222222-12-1-1222-12222222-1-1-22-1-1-12-1-12-111-2-2111100222222-1-1-1-1-1-1-1-1-211-2-211110-2-2110000-1-111-2-20022-1-1-1-111110022000-20000-1-111-2000000-1-111000000
χ20222222-12-1-1222-12222222-1-1-22-1-1-12-1-12-111-2-2111100-2-22222-1-1-1-1-1-1-1-1-211-2-211110-2211000011-1-1-2-200-2-2-1-1-1-1111100-2-20002000011-1-1200000011-1-1000000
χ21222222-12-1-1222-122-2-2-2-22-1-122-1-1-12-1-12-1-1-122-1-1-1-10022-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-22110000-1-1-1-1-2-200221111111100-2-200020000-1-1-1-1-20000001111000000
χ22222222-12-1-1222-122-2-2-2-22-1-122-1-1-12-1-12-1-1-122-1-1-1-100-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2-21100001111-2-200-2-2111111110022000-2000011112000000-1-1-1-1000000
χ23222222-12-1-1222-122-2-2-2-22-1-1-22-1-1-12-1-12-111-2-211110022-2-2-2-21111-1-1-1-1-211-2-2111102-2-1-10000-1-1112200221111-1-1-1-100-2-2000-20000-1-111200000011-1-1000000
χ24222222-12-1-1222-122-2-2-2-22-1-1-22-1-1-12-1-12-111-2-2111100-2-2-2-2-2-21111-1-1-1-1-211-2-21111022-1-1000011-1-12200-2-21111-1-1-1-100220002000011-1-1-2000000-1-111000000
χ2522222-122222-1-12-122222-12-12-122-1-1-1-1-1222-1-1-1-1-1-12200-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122022-1-1-1-10000-1-12200-1-1-1-1-1-1-1-122000020-1-1-1-10000020-1-1000000-1-10000
χ2622222-122222-1-12-122222-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-200-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-2202211110000-1-1-2-200-1-1-1-1-1-1-1-1-2-20000-20111100000-2011000000110000
χ2722222-122222-1-12-122222-12-1-2-122-1-1-1-1-12-2-21111112200-1-1-1-12222-1-1-1-1-2-2-2111111-2-20-2-211-1-10000112200-1-1-1-11111220000-20-1-11100000-20-1-1000000110000
χ2822222-122222-1-12-122222-12-1-2-122-1-1-1-1-12-2-2111111-2-200-1-1-1-12222-1-1-1-1-2-2-21111112-20-2-2-1-111000011-2-200-1-1-1-11111-2-200002011-1-1000002011000000-1-10000
χ2922222-122222-1-12-12-2-2-2-2-12-12-122-1-1-1-1-1222-1-1-1-1-1-122001111-2-2-2-2-1-1-1-1222-1-1-1-1-1-12-20-2-2-1-1-1-1000011220011111111-2-2000020-1-1-1-100000-2011000000110000
χ3022222-122222-1-12-12-2-2-2-2-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-2001111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-2-21111000011-2-20011111111220000-2011110000020-1-1000000-1-10000
χ3122222-122222-1-12-12-2-2-2-2-12-1-2-122-1-1-1-1-12-2-211111122001111-2-2-2-2-1-1-1-1-2-2-2111111-2202211-1-10000-1-122001111-1-1-1-1-2-20000-20-1-111000002011000000-1-10000
χ3222222-122222-1-12-12-2-2-2-2-12-1-2-122-1-1-1-1-12-2-2111111-2-2001111-2-2-2-2-1-1-1-1-2-2-211111122022-1-1110000-1-1-2-2001111-1-1-1-12200002011-1-100000-20-1-1000000110000
χ332222-122-122-12222-10000-1-122-1-1-12-122-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1202002222222200-1-1-1-100000000000022-1-1-1-1-1-1-1-1-1-100200-1-100000000-10
χ342222-122-122-12222-10000-1-122-1-1-12-122-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-120-2002222-2-2-2-200-1-111000000000000-2-2-11-1-1-1-1111100-200110000000010
χ352222-122-122-12222-10000-1-122-1-1-12-122-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20200-2-2-2-222220011-1-1000000000000-2-21-11111-1-1-1-100-200110000000010
χ362222-122-122-12222-10000-1-122-1-1-12-122-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-200-2-2-2-2-2-2-2-200111100000000000022111111111100200-1-100000000-10
χ372222-122-122-12222-10000-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-1111111111-20-200-2-22222-2-200-1-1-1-10000000000002211-1-111-1-11100-200-1-10000000010
χ382222-122-122-12222-10000-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1111111111-20200-2-222-2-22200-1-111000000000000-2-21-1-1-11111-1-1002001100000000-10
χ392222-122-122-12222-10000-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111120-20022-2-222-2-20011-1-1000000000000-2-2-1111-1-1-1-111002001100000000-10
χ402222-122-122-12222-10000-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111112020022-2-2-2-22200111100000000000022-1-111-1-111-1-100-200-1-10000000010
χ4122-2-2222-22-222-2-2-2-22i2i−2i−2i2220-2-222-2-2-22-200000000002i−2i2i2i−2i−2i2i2i−2i−2i2-2-220000000000000000002i−2i0000002i−2i2i2i−2i−2i0000002-2000000002i−2i0000000002-200000000
χ4222-2-2222-22-222-2-2-2-22i2i−2i−2i2220-2-222-2-2-22-20000000000−2i2i2i2i−2i−2i2i2i−2i−2i2-2-22000000000000000000−2i2i000000−2i2i2i2i−2i−2i000000-2200000000−2i2i000000000-2200000000
χ4322-2-2222-22-222-2-2-2-2−2i−2i2i2i2220-2-222-2-2-22-200000000002i−2i−2i−2i2i2i−2i−2i2i2i2-2-220000000000000000002i−2i0000002i−2i−2i−2i2i2i000000-22000000002i−2i000000000-2200000000
χ4422-2-2222-22-222-2-2-2-2−2i−2i2i2i2220-2-222-2-2-22-20000000000−2i2i−2i−2i2i2i−2i−2i2i2i2-2-22000000000000000000−2i2i000000−2i2i−2i−2i2i2i0000002-200000000−2i2i0000000002-200000000
χ4522-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-10-21-1-1-21121−i3i300−i3−i3i3i3002i−2i2i2i−2i−2i−i−iii-111-10−i3i300−i3−i3i3i30003−30000−ii3−300002i−2i−i−iii33−3−3002-200000000−ii3−30000000-11−i3i3000000
χ4622-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-10-21-1-1-21121−i3i300−i3−i3i3i300−2i2i2i2i−2i−2i−i−iii-111-10−i3i300−i3−i3i3i30003−30000i−i−330000−2i2i−i−iii33−3−300-2200000000i−i−3300000001-1i3−i3000000
χ4722-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-10-21-1-1-21121i3−i300i3i3−i3−i3002i−2i2i2i−2i−2i−i−iii-111-10i3−i300i3i3−i3−i3000−330000−ii−3300002i−2i−i−iii−3−333002-200000000−ii−330000000-11i3−i3000000
χ4822-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-10-21-1-1-21121i3−i300i3i3−i3−i300−2i2i2i2i−2i−2i−i−iii-111-10i3−i300i3i3−i3−i3000−330000i−i3−30000−2i2i−i−iii−3−33300-2200000000i−i3−300000001-1−i3i3000000
χ4922-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-10-21-1-1-21121−i3i300−i3−i3i3i3002i−2i−2i−2i2i2iii−i−i-111-10−i3i300−i3−i3i3i3000−330000−ii3−300002i−2iii−i−i−3−33300-2200000000−ii3−300000001-1i3−i3000000
χ5022-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-10-21-1-1-21121−i3i300−i3−i3i3i300−2i2i−2i−2i2i2iii−i−i-111-10−i3i300−i3−i3i3i3000−330000i−i−330000−2i2iii−i−i−3−333002-200000000i−i−330000000-11−i3i3000000
χ5122-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-10-21-1-1-21121i3−i300i3i3−i3−i3002i−2i−2i−2i2i2iii−i−i-111-10i3−i300i3i3−i3−i30003−30000−ii−3300002i−2iii−i−i33−3−300-2200000000−ii−3300000001-1−i3i3000000
χ5222-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-10-21-1-1-21121i3−i300i3i3−i3−i300−2i2i−2i−2i2i2iii−i−i-111-10i3−i300i3i3−i3−i30003−30000i−i3−30000−2i2iii−i−i33−3−3002-200000000i−i3−30000000-11i3−i3000000
χ532-22-22222-22-2-2-2-22-22i−2i2i−2i222022-2-2-22-2-2-20000000000002i−2i2i−2i2i−2i2i−2i22-2-200000000000000000000000000002i−2i2i−2i000000002-20000000000000002-20000002i−2i00
χ542-22-22222-22-2-2-2-22-22i−2i2i−2i222022-2-2-22-2-2-20000000000002i−2i2i−2i2i−2i2i−2i22-2-200000000000000000000000000002i−2i2i−2i00000000-22000000000000000-22000000−2i2i00
χ552-22-22222-22-2-2-2-22-2−2i2i−2i2i222022-2-2-22-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i22-2-20000000000000000000000000000−2i2i−2i2i000000002-20000000000000002-2000000−2i2i00
χ562-22-22222-22-2-2-2-22-2−2i2i−2i2i222022-2-2-22-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i22-2-20000000000000000000000000000−2i2i−2i2i00000000-22000000000000000-220000002i−2i00
χ572-2-22222-2-2-2-2-222-222-2-222220-2-2-2-22-22-22000000002-2002-2-222-2-222-22-200000000000000002-20000002-2002-2-2200002-20000002-20000000002-2000000000000
χ582-2-22222-2-2-2-2-222-222-2-222220-2-2-2-22-22-2200000000-22002-2-222-2-222-22-20000000000000000-22000000-22002-2-220000-22000000-22000000000-22000000000000
χ592-2-22222-2-2-2-2-222-22-222-22220-2-2-2-22-22-22000000002-200-222-2-222-22-22-200000000000000002-20000002-200-222-20000-220000002-2000000000-22000000000000
χ602-2-22222-2-2-2-2-222-22-222-22220-2-2-2-22-22-2200000000-2200-222-2-222-22-22-20000000000000000-22000000-2200-222-200002-2000000-220000000002-2000000000000
χ612-2-222-12-2-2-2-21-12122-2-22-12-101-2-21-11-112003−33−33−32-200-111-12-2-22-11-110003−33−33−3000003−3-1100003−32-200-111-13−33−32-2000000-113−30000000-110000003−30000
χ622-2-222-12-2-2-2-21-12122-2-22-12-101-2-21-11-112003−33−33−3-2200-111-12-2-22-11-110003−33−33−300000−331-100003−3-2200-111-13−33−3-220000001-1−3300000001-1000000−330000
χ632-2-222-12-2-2-2-21-12122-2-22-12-101-2-21-11-11200−33−33−332-200-111-12-2-22-11-11000−33−33−3300000−33-110000−332-200-111-1−33−332-2000000-11−330000000-11000000−330000
χ642-2-222-12-2-2-2-21-12122-2-22-12-101-2-21-11-11200−33−33−33-2200-111-12-2-22-11-11000−33−33−33000003−31-10000−33-2200-111-1−33−33-220000001-13−300000001-10000003−30000
χ652-2-222-12-2-2-2-21-1212-222-2-12-101-2-21-11-112003−33−33−32-2001-1-11-222-2-11-110003−33−33−3000003−3-110000−332-2001-1-11−33−33-22000000-113−300000001-1000000−330000
χ662-2-222-12-2-2-2-21-1212-222-2-12-101-2-21-11-112003−33−33−3-22001-1-11-222-2-11-110003−33−33−300000−331-10000−33-22001-1-11−33−332-20000001-1−330000000-110000003−30000
χ672-2-222-12-2-2-2-21-1212-222-2-12-101-2-21-11-11200−33−33−332-2001-1-11-222-2-11-11000−33−33−3300000−33-1100003−32-2001-1-113−33−3-22000000-11−3300000001-10000003−30000
χ682-2-222-12-2-2-2-21-1212-222-2-12-101-2-21-11-11200−33−33−33-22001-1-11-222-2-11-11000−33−33−33000003−31-100003−3-22001-1-113−33−32-20000001-13−30000000-11000000−330000
χ6944444-2-24-2-24-2-2-2-244444-2-214-2-2-21-211-2-2-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-21111040-2-200000000-2-2000011111111000000000000000000000000000000000
χ7044444-2-24-2-24-2-2-2-244444-2-21-4-2-2-21-211-2-22222-1-1-1-10000-2-2-2-2-2-2-2-21111-42222-1-1-1-10-4022000000002200001111-1-1-1-1000000000000000000000000000000000
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χ974-44-44-2-242-2-4222-2-44i−4i4i−4i-2-210-2-22-121-12200003i−3i−3i3i0000−2i2i−2i2i−2i2i−2i2i11-1-1000003i−3i−3i3i0000000000000000000i−ii−i-333-3000000000000000000000000000000000
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χ1004-44-44-2-242-2-4222-2-4−4i4i−4i4i-2-210-2-22-121-1220000−3i3i3i−3i00002i−2i2i−2i2i−2i2i−2i11-1-100000−3i3i3i−3i0000000000000000000−ii−ii-333-3000000000000000000000000000000000
χ1014-44-4-244-2-442-4-4-4420000-2-240-2-22-424-42200000000000000000000-2-22200000000000000000000000000000000000000004-4000000000000000-220000000000
χ1024-44-4-244-2-442-4-4-4420000-2-240-2-22-424-42200000000000000000000-2-2220000000000000000000000000000000000000000-440000000000000002-20000000000
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χ1054-4-444-2-2-422-42-2-2244-4-44-2-210222-1-2-112-20023−23−33−330000-222-2-222-21-11-100023−23−33−33000000000000023−2300001-1-11−33−33000000000000000000000000000000000
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χ1084-4-444-2-2-422-42-2-224-444-4-2-210222-1-2-112-200−23233−33−300002-2-222-2-221-11-1000−23233−33−3000000000000023−230000-111-1−33−33000000000000000000000000000000000
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χ1134-4-44-2-242-4-422-242-200001-2-20-122212-2-1-200−2323−2323−23234-400000000001-11-10003−33−33−300000−2323-22000000-220000000000000000001-13−3000000000000000000000
χ1144-4-44-2-242-4-422-242-200001-2-20-122212-2-1-200−2323−2323−2323-4400000000001-11-10003−33−33−30000023−232-20000002-2000000000000000000-11−33000000000000000000000
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
χ11788-8-8-4-4848-8-4-44-84400002-4-40-24-4-4-24424000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ11988-8-8-4-4-44-44-4-4444400002220-2-222-2-2-22-24i3−4i300−2i3−2i32i32i3000000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-4-44-44-8-84840000-42-40-42-244-444-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-48-4-88444-8-4400002-4-402-444-2-44-240000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-44-44444-440000222022-2-2-22-2-2-200006i−6i−6i6i000000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4-44-44444-440000222022-2-2-22-2-2-20000−6i6i6i−6i000000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-444444-4-44-400002220-2-2-2-22-22-2200−434323−2323−23000000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000000

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