Finite Group Databasebeta

← Group #13168561

Character table — Group #13168561

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212124444441212121236661212121212121212244661212121212121212121212121212121212121212121212124412121212666121212121212122224466661212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-111-1-11111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-111-1-1-1-11111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1111-1-1-11111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111-1-1-1-1-1111-11-1-111-1-1-1-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-111111-1-111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-111111-1-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111111-1-11-11-1-111-1-1-1-1111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1111-1-1-11111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111111111-1-1-111111-1-1-1-1-111-1-1-1-111-1-1-111
χ17222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1202-1-1-1-100-1-1222200-1-1000000000022-1-1-1-12-1-12-1-1-1-1-1-10200000-1-10000000
χ18222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-211-1-10011222200-1-10000000000-2-21111-211-2-1-111-1-10-200000110000000
χ19222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1202-1-11100-1-1-2-2-2-200110000000000-2-211112-1-1211-1-1110-200000110000000
χ20222222-12222-1-1222-122-1-1-1-12-122-1-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-20-211110011-2-2-2-20011000000000022-1-1-1-1-211-21111110200000-1-10000000
χ21222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-11111111120-2-1-111001122-2-200-1-1000000000022-1-1-1-12-1-1-21111-1-10-200000110000000
χ22222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-111111111-202111100-1-122-2-200-1-10000000000-2-21111-211211-1-1-1-10200000-1-10000000
χ23222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-11111111120-2-1-1-1-10011-2-22200110000000000-2-211112-1-1-2-1-111110200000-1-10000000
χ24222222-1-2-222-1-1222-122-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-111111111-20211-1-100-1-1-2-2220011000000000022-1-1-1-1-2112-1-1-1-1110-200000110000000
χ2522222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-12222200-1-12200002200-1-1-1-1-1-1-1-1-1-1000000-1-1-1-100-1-1000020200000000-1-10
χ2622222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-1-22-2-2-200-1-1-2-200002200-1-1-1-1-1-1-1-1-1-1000000111100110000-20-200000000110
χ2722222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-12-22220011220000-2-2001111111111000000-1-1-1-100-1-10000-20-200000000110
χ2822222-1222-1-1222222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-2-2-20011-2-20000-2-200111111111100000011110011000020200000000-1-10
χ2922222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-211110000222222-1-1-1-111-2-211112-2-22200-1-1-2-20000-2-20011-1-1-1-11111000000-1-1-1100110000-202000000001-10
χ3022222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-211110000222222-1-1-1-111-2-21111-2-22-2-200-1-1220000-2-20011-1-1-1-11111000000111-100-1-1000020-200000000-110
χ3122222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-211110000-2-2-2-2-2-2-1-1-1-111-2-2111122-2220011-2-200002200-1-11111-1-1-1-1000000-1-1-110011000020-200000000-110
χ3222222-12-2-2-1-1222222-1-12-12-1-1-1-1-12-1211-2-2-2-211110000-2-2-2-2-2-2-1-1-1-111-2-21111-222-2-200112200002200-1-11111-1-1-1-1000000111-100-1-10000-202000000001-10
χ332222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-102000222200-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-1-100-1-120020-1-100-1-100000
χ342222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-12222-2-21111-1-1-1-122-1-1-1-1-1-10-200022-2-200-1-1-1-11122-2-2111111110000000000-1-100-1-1-200-2011001100000
χ352222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-102000-2-222001111-1-1-2-222-1-1-1-1-1-1-1-10000000000110011-200-2011001100000
χ362222-122222222-1-1-122-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-10-2000-2-2-2-200111111-2-2-2-211111111000000000011001120020-1-100-1-100000
χ372222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-2111122-2-222-1-1-1-1-1-1-1-1-2-21111110-2000-2-22200-1-1111122-2-2-1-1-1-1111100000000001100-1-1-200201100-1-100000
χ382222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-2111122-2-2-2-21111-1-1-1-1-2-211111102000-2-2-2-200-1-111-1-122221111-1-1-1-100000000001100-1-1200-20-1-1001100000
χ392222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-21111-2-22222-1-1-1-1-1-1-1-1-2-21111110-200022220011-1-111-2-2-2-2-1-1-1-111110000000000-1-10011200-20-1-1001100000
χ402222-122-2-22222-1-1-122-1-12-12-12-1-1-12-1-2-211-2-21111-2-222-2-21111-1-1-1-1-2-21111110200022-2-20011-1-1-1-1-2-2221111-1-1-1-10000000000-1-10011-200201100-1-100000
χ4122-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-22000000000000002i−2i2i2i−2i−2i2-2-220000000000000002i−2i0000000000002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-22000000000000002i−2i2i2i−2i−2i2-2-220000000000000002i−2i0000000000002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-2200000000000000−2i2i−2i−2i2i2i2-2-22000000000000000−2i2i000000000000−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-2222002-2-2-22-2-22-2222-2-222-2-2-2-2200000000000000−2i2i−2i−2i2i2i2-2-22000000000000000−2i2i000000000000−2i−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−2i2i−2i2-200000022-2-22i−2i2i−2i2i2i−2i−2i000002-200002i−2i2-2002i−2i000000000000000000002-2002i−2i0000000000000000
χ462-22-22222i−2i-222-2-22-2-2-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i−2i2i-2200000022-2-22i−2i2i−2i2i2i−2i−2i00000-220000−2i2i-2200−2i2i00000000000000000000-2200−2i2i0000000000000000
χ472-22-2222−2i2i-222-2-22-2-2-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2i−2i-2200000022-2-2−2i2i−2i2i−2i−2i2i2i00000-2200002i−2i-22002i−2i00000000000000000000-22002i−2i0000000000000000
χ482-22-2222−2i2i-222-2-22-2-2-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i−2i2i2-200000022-2-2−2i2i−2i2i−2i−2i2i2i000002-20000−2i2i2-200−2i2i000000000000000000002-200−2i2i0000000000000000
χ492-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i2i−2i2-2000000-1-111−ii−ii−i−iii000−i3i3-11003−32i−2i2-200−ii0000000000003−33−30−i3i30-113−3−ii0000000−i3i30000000
χ502-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i2i−2i2-2000000-1-111−ii−ii−i−iii000i3−i3-1100−332i−2i2-200−ii000000000000−33−330i3−i30-11−33−ii0000000i3−i30000000
χ512-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i−2i2i-22000000-1-111−ii−ii−i−iii000−i3i31-1003−3−2i2i-2200i−i000000000000−33−330−i3i301-13−3i−i0000000i3−i30000000
χ522-22-222-12i−2i-22-11-22-21-22-1-11-1-212-2-1112i−2i2i−2i−ii2i2i−2i−2i−2i2i-22000000-1-111−ii−ii−i−iii000i3−i31-100−33−2i2i-2200i−i0000000000003−33−30i3−i301-1−33i−i0000000−i3i30000000
χ532-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i2i−2i-22000000-1-111i−ii−iii−i−i000−i3i31-100−332i−2i-2200−ii0000000000003−33−30−i3i301-1−33−ii0000000i3−i30000000
χ542-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i2i−2i-22000000-1-111i−ii−iii−i−i000i3−i31-1003−32i−2i-2200−ii000000000000−33−330i3−i301-13−3−ii0000000−i3i30000000
χ552-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i−2i2i2-2000000-1-111i−ii−iii−i−i000−i3i3-1100−33−2i2i2-200i−i000000000000−33−330−i3i30-11−33i−i0000000−i3i30000000
χ562-22-222-1−2i2i-22-11-22-21-22-1-11-1-212-2-111−2i2i−2i2ii−i−2i−2i2i2i−2i2i2-2000000-1-111i−ii−iii−i−i000i3−i3-11003−3−2i2i2-200i−i0000000000003−33−30i3−i30-113−3i−i0000000i3−i30000000
χ572-22-2-1222i−2i-222-21-11-2-2-1-12121-2-11-1-212i−2i−ii2i−2i−i−iii2i−2i2-200−i3i3−i3i3-1-1112i−2i−ii−i−iii000002-20000−ii-113−32i−2i00−i3i3−i3i333−3−30000000000-1100−ii00000−i3i3003−300000
χ582-22-2-1222i−2i-222-21-11-2-2-1-12121-2-11-1-212i−2i−ii2i−2i−i−iii2i−2i2-200i3−i3i3−i3-1-1112i−2i−ii−i−iii000002-20000−ii-11−332i−2i00i3−i3i3−i3−3−3330000000000-1100−ii00000i3−i300−3300000
χ592-22-2-1222i−2i-222-21-11-2-2-1-12121-2-11-1-212i−2i−ii2i−2i−i−iii−2i2i-2200−i3i3−i3i3-1-1112i−2i−ii−i−iii00000-220000i−i1-13−3−2i2i00−i3i3−i3i333−3−300000000001-100i−i00000i3−i300−3300000
χ602-22-2-1222i−2i-222-21-11-2-2-1-12121-2-11-1-212i−2i−ii2i−2i−i−iii−2i2i-2200i3−i3i3−i3-1-1112i−2i−ii−i−iii00000-220000i−i1-1−33−2i2i00i3−i3i3−i3−3−33300000000001-100i−i00000−i3i3003−300000
χ612-22-2-122−2i2i-222-21-11-2-2-1-12121-2-11-1-21−2i2ii−i−2i2iii−i−i2i−2i-2200−i3i3−i3i3-1-111−2i2ii−iii−i−i00000-220000−ii1-1−332i−2i00−i3i3−i3i3−3−33300000000001-100−ii00000i3−i3003−300000
χ622-22-2-122−2i2i-222-21-11-2-2-1-12121-2-11-1-21−2i2ii−i−2i2iii−i−i2i−2i-2200i3−i3i3−i3-1-111−2i2ii−iii−i−i00000-220000−ii1-13−32i−2i00i3−i3i3−i333−3−300000000001-100−ii00000−i3i300−3300000
χ632-22-2-122−2i2i-222-21-11-2-2-1-12121-2-11-1-21−2i2ii−i−2i2iii−i−i−2i2i2-200−i3i3−i3i3-1-111−2i2ii−iii−i−i000002-20000i−i-11−33−2i2i00−i3i3−i3i3−3−3330000000000-1100i−i00000−i3i300−3300000
χ642-22-2-122−2i2i-222-21-11-2-2-1-12121-2-11-1-21−2i2ii−i−2i2iii−i−i−2i2i2-200i3−i3i3−i3-1-111−2i2ii−iii−i−i000002-20000i−i-113−3−2i2i00i3−i3i3−i333−3−30000000000-1100i−i00000i3−i3003−300000
χ6544444-2-244-2-2-2-2444-2-2-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-20000000000111111-2-21111404-2-20000-2-2000000000000000000000000-211-20011000000000000000000
χ6644444-2-244-2-2-2-2444-2-2-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-20000000000111111-2-21111-40-4220000220000000000000000000000002-1-1200-1-1000000000000000000
χ6744444-2-2-4-4-2-2-2-2444-2-2-2-21-21-21-2-2-21-222-4-422222200000000001111-1-122-1-1-1-140-4-2-2000022000000000000000000000000-211200-1-1000000000000000000
χ6844444-2-2-4-4-2-2-2-2444-2-2-2-21-21-21-2-2-21-222-4-422222200000000001111-1-122-1-1-1-1-404220000-2-20000000000000000000000002-1-1-20011000000000000000000
χ694444-24-24444-2-2-2-2-2-24-21-21-2-2-2-2-21-2144-2-2-2-2-2-2-2-244440000001111-2-211111100000-2-20000-2-2-2-200-2-2000000000000000000001100110000000000000000
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χ894-44-44-2-24i−4i2-2-22-44-422-2-21212-1-22-2-12−2i2i4i−4i−2i2i−2i−2i2i2i000000000011-1-1i−i−2i2iii−i−i000−2i32i3000023−230000000000000000000000000i3−i3000−33000000000000000000
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χ974-44-4-2-244i−4i2-24-42-22-421-2-22-2-121-1-222−2i2i−2i2i4i−4iii−i−i000000−2i32i3−2i32i311-1-1−2i2i−2i2iii−i−i00000000000000023−230000i3−i3i3−i3−3−33300000000000000000000000000000000
χ984-44-4-2-244i−4i2-24-42-22-421-2-22-2-121-1-222−2i2i−2i2i4i−4iii−i−i0000002i3−2i32i3−2i311-1-1−2i2i−2i2iii−i−i000000000000000−23230000−i3i3−i3i333−3−300000000000000000000000000000000
χ994-44-4-2-24−4i4i2-24-42-22-421-2-22-2-121-1-2222i−2i2i−2i−4i4i−i−iii000000−2i32i3−2i32i311-1-12i−2i2i−2i−i−iii000000000000000−23230000i3−i3i3−i333−3−300000000000000000000000000000000
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χ1034-4-4444-200-4-42-2-4-44244-2-2-22-42-442-2200000000000000000000-22-22000000000000000000000000000000000000000−232323−2300000000000000000000000000
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χ1074-4-44-24400-4-4-4422-2-44-2-24-2-42-42-22420000000000000000−232323−23-22-2200000000000000000000000000000−232323−23000000000000000000000000000000000000
χ1084-4-44-2-240022-4422-2-4-21-2-2-22-12-112-220000003i−3i−3i3i00000023−23−23231-11-100003i−3i−3i3i0000000000000000000−2i32i3−333−3i3−i3−i3i300000000000000000000000000000000
χ1094-4-44-2-240022-4422-2-4-21-2-2-22-12-112-220000003i−3i−3i3i000000−232323−231-11-100003i−3i−3i3i00000000000000000002i3−2i33−3−33−i3i3i3−i300000000000000000000000000000000
χ1104-4-44-2-240022-4422-2-4-21-2-2-22-12-112-22000000−3i3i3i−3i00000023−23−23231-11-10000−3i3i3i−3i00000000000000000002i3−2i3−333−3−i3i3i3−i300000000000000000000000000000000
χ1114-4-44-2-240022-4422-2-4-21-2-2-22-12-112-22000000−3i3i3i−3i000000−232323−231-11-10000−3i3i3i−3i0000000000000000000−2i32i33−3−33i3−i3−i3i300000000000000000000000000000000
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
χ1238-8-88-4-4-400444-444-44-42222-2-2-2-22-22-2000000−6i6i6i−6i0000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000

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