Finite Group Databasebeta

← Group #11819177

Character table — Group #11819177

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666634444446666666121212121212121212121212222244446666666612121212121212121212121212121212121244444444121212121212121212121212441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-11
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-111-1-111-1-111-1-1-11
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-111-1-1111-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-11
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111111-11111-1-1-1-1-1-111-11
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ17222222222-122-1-1-1-12222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-1-1-12222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111111110000000000000000
χ19222222222-122-1-1-1-12222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111112200-2-200-1-1-1-1111111110000000000000000
χ20222222222-122-1-1-1-12222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-2-2-2-2-1-1-1-111111111-2-20022001111-1-1-1-1-1-1-1-10000000000000000
χ21222222222-122-1-1-1-12222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-11111-2-20022001111-1-1-1-111110000000000000000
χ22222222222-122-1-1-1-12222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2222211111111-2-2-2-2221111-1-1-1-111112200-2-200-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-122-1-1-1-12222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-122222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-2-200-2-20011111111-1-1-1-10000000000000000
χ24222222222-122-1-1-1-12222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-211111111-2-222-2-211111111-1-1-1-122002200-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-12222-1-1-1-1222-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-12222-1-1-1-1222-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-211111111000000
χ2722222222-12-1-12222-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-111111111002200-2-20000000000002-2-1-111-1-111000000
χ2822222222-12-1-12222-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111100-2-20022000000000000-2211-1-111-1-1000000
χ2922222222-12-1-12222-1-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-11111-1-1-1-11111002200-2-2000000000000-221111-1-1-1-1000000
χ3022222222-12-1-12222-1-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-11111-1-1-1-1111100-2-200220000000000002-2-1-1-1-11111000000
χ3122222222-12-1-12222-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000000000000011-1-11111111111-1-1-1-100220022000000000000-2-211-1-1-1-111000000
χ3222222222-12-1-12222-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000000000000011-1-11111111111-1-1-1-100-2-200-2-200000000000022-1-11111-1-1000000
χ33222-2-2-22-222-2-22-2-2-2222-222-2-220000002-2-2-222-200000000000022-2-200002222-2-2-2-20000000000000000000000002i−2i00000000000000002i−2i00002i−2i0000
χ34222-2-2-22-222-2-22-2-2-2222-222-2-220000002-2-2-222-200000000000022-2-200002222-2-2-2-2000000000000000000000000−2i2i0000000000000000−2i2i0000−2i2i0000
χ35222-2-2-22-222-2-22-2-2-2222-222-2-220000002-2-2-222-2000000000000-2-2220000-2-2-2-222220000000000000000000000002i−2i00000000000000002i−2i0000−2i2i0000
χ36222-2-2-22-222-2-22-2-2-2222-222-2-220000002-2-2-222-2000000000000-2-2220000-2-2-2-22222000000000000000000000000−2i2i0000000000000000−2i2i00002i−2i0000
χ3722-222-2-2-222-2-222-2-2-2-222-2-2222002-20022-2-2-2-22000022-2-2000000002i2i−2i−2i0000000000002-2000022-2-200002i−2i0000002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ3822-222-2-2-222-2-222-2-2-2-222-2-2222002-20022-2-2-2-22000022-2-200000000−2i−2i2i2i0000000000002-2000022-2-20000−2i2i000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ3922-222-2-2-222-2-222-2-2-2-222-2-222200-220022-2-2-2-220000-2-222000000002i2i−2i−2i000000000000-220000-2-2220000−2i2i000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ4022-222-2-2-222-2-222-2-2-2-222-2-222200-220022-2-2-2-220000-2-22200000000−2i−2i2i2i000000000000-220000-2-22200002i−2i0000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ4122-222-2-2-22-1-2-2-1-111-2-22211-12-1002-200-1-11111-133−3−3-1-11133−3−300002i2i−2i−2i−i3−i3i3i3−i3−i3i3i300002-233−3−3-1-11133−3−32i−2i000000−i−iii−i3−i3i3i3−i−iii0000000000000000
χ4222-222-2-2-22-1-2-2-1-111-2-22211-12-1002-200-1-11111-133−3−3-1-11133−3−30000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i300002-233−3−3-1-11133−3−3−2i2i000000ii−i−ii3i3−i3−i3ii−i−i0000000000000000
χ4322-222-2-2-22-1-2-2-1-111-2-22211-12-1002-200-1-11111-1−3−333-1-111−3−33300002i2i−2i−2ii3i3−i3−i3i3i3−i3−i300002-2−3−333-1-111−3−3332i−2i000000−i−iiii3i3−i3−i3−i−iii0000000000000000
χ4422-222-2-2-22-1-2-2-1-111-2-22211-12-1002-200-1-11111-1−3−333-1-111−3−3330000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i300002-2−3−333-1-111−3−333−2i2i000000ii−i−i−i3−i3i3i3ii−i−i0000000000000000
χ4522-222-2-2-22-1-2-2-1-111-2-22211-12-100-2200-1-11111-133−3−311-1-1−3−33300002i2i−2i−2ii3i3−i3−i3i3i3−i3−i30000-2233−3−311-1-1−3−333−2i2i000000ii−i−i−i3−i3i3i3−i−iii0000000000000000
χ4622-222-2-2-22-1-2-2-1-111-2-22211-12-100-2200-1-11111-133−3−311-1-1−3−3330000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i30000-2233−3−311-1-1−3−3332i−2i000000−i−iiii3i3−i3−i3ii−i−i0000000000000000
χ4722-222-2-2-22-1-2-2-1-111-2-22211-12-100-2200-1-11111-1−3−33311-1-133−3−300002i2i−2i−2i−i3−i3i3i3−i3−i3i3i30000-22−3−33311-1-133−3−3−2i2i000000ii−i−ii3i3−i3−i3−i−iii0000000000000000
χ4822-222-2-2-22-1-2-2-1-111-2-22211-12-100-2200-1-11111-1−3−33311-1-133−3−30000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i30000-22−3−33311-1-133−3−32i−2i000000−i−iii−i3−i3i3i3ii−i−i0000000000000000
χ492-222-2-2-22222-2-222-22-2-2-22-2-22200002i−2i-222-22-2-2000000002i−2i2i−2i2-22-22i−2i2i−2i2-22-22-22-2002i−2i00000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000000000
χ502-222-2-2-22222-2-222-22-2-2-22-2-22200002i−2i-222-22-2-2000000002i−2i2i−2i-22-22−2i2i−2i2i-22-22-22-22002i−2i00000000002i−2i2i−2i0000000000000000−2i2i−2i2i0000000000000000
χ512-222-2-2-22222-2-222-22-2-2-22-2-2220000−2i2i-222-22-2-200000000−2i2i−2i2i2-22-2−2i2i−2i2i2-22-22-22-200−2i2i0000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000000000
χ522-222-2-2-22222-2-222-22-2-2-22-2-2220000−2i2i-222-22-2-200000000−2i2i−2i2i-22-222i−2i2i−2i-22-22-22-2200−2i2i0000000000−2i2i−2i2i00000000000000002i−2i2i−2i0000000000000000
χ532-222-2-2-222-12-21-1-112-2-2-2-1112-100002i−2i1-1-11-111−i3i3−i3i33−33−3−ii−ii2-22-22i−2i2i−2i-11-11-11-11002i−2i00−i3i3−i3i33−33−3−ii−ii00000000−i3i3−i3i33−33−3−ii−ii0000000000000000
χ542-222-2-2-222-12-21-1-112-2-2-2-1112-100002i−2i1-1-11-111−i3i3−i3i33−33−3−ii−ii-22-22−2i2i−2i2i1-11-11-11-1002i−2i00−i3i3−i3i33−33−3−ii−ii00000000i3−i3i3−i3−33−33i−ii−i0000000000000000
χ552-222-2-2-222-12-21-1-112-2-2-2-1112-100002i−2i1-1-11-111i3−i3i3−i3−33−33−ii−ii2-22-22i−2i2i−2i-11-11-11-11002i−2i00i3−i3i3−i3−33−33−ii−ii00000000i3−i3i3−i3−33−33−ii−ii0000000000000000
χ562-222-2-2-222-12-21-1-112-2-2-2-1112-100002i−2i1-1-11-111i3−i3i3−i3−33−33−ii−ii-22-22−2i2i−2i2i1-11-11-11-1002i−2i00i3−i3i3−i3−33−33−ii−ii00000000−i3i3−i3i33−33−3i−ii−i0000000000000000
χ572-222-2-2-222-12-21-1-112-2-2-2-1112-10000−2i2i1-1-11-111−i3i3−i3i3−33−33i−ii−i2-22-2−2i2i−2i2i-11-11-11-1100−2i2i00−i3i3−i3i3−33−33i−ii−i00000000−i3i3−i3i3−33−33i−ii−i0000000000000000
χ582-222-2-2-222-12-21-1-112-2-2-2-1112-10000−2i2i1-1-11-111−i3i3−i3i3−33−33i−ii−i-22-222i−2i2i−2i1-11-11-11-100−2i2i00−i3i3−i3i3−33−33i−ii−i00000000i3−i3i3−i33−33−3−ii−ii0000000000000000
χ592-222-2-2-222-12-21-1-112-2-2-2-1112-10000−2i2i1-1-11-111i3−i3i3−i33−33−3i−ii−i2-22-2−2i2i−2i2i-11-11-11-1100−2i2i00i3−i3i3−i33−33−3i−ii−i00000000i3−i3i3−i33−33−3i−ii−i0000000000000000
χ602-222-2-2-222-12-21-1-112-2-2-2-1112-10000−2i2i1-1-11-111i3−i3i3−i33−33−3i−ii−i-22-222i−2i2i−2i1-11-11-11-100−2i2i00i3−i3i3−i33−33−3i−ii−i00000000−i3i3−i3i3−33−33−ii−ii0000000000000000
χ612-22-222-2-222-22-2-2-222-2-222-22-22000000-2-2-222-220000000000002-2-2200002-22-2-22-22000000000000000000002i−2i00000000000000000000002i−2i00002i−2i00
χ622-22-222-2-222-22-2-2-222-2-222-22-22000000-2-2-222-220000000000002-2-2200002-22-2-22-2200000000000000000000−2i2i0000000000000000000000−2i2i0000−2i2i00
χ632-22-222-2-222-22-2-2-222-2-222-22-22000000-2-2-222-22000000000000-222-20000-22-222-22-2000000000000000000002i−2i00000000000000000000002i−2i0000−2i2i00
χ642-22-222-2-222-22-2-2-222-2-222-22-22000000-2-2-222-22000000000000-222-20000-22-222-22-200000000000000000000−2i2i0000000000000000000000−2i2i00002i−2i00
χ652-2-22-222-222-22-22-22-22-2-2-22-2222i−2i0000-22-22-22-22i−2i−2i2i0000000000002-2-22000000002i−2i00002i−2i−2i2i0000000000002i−2i000000−2i2i2i−2i2-2-220000000000000000
χ662-2-22-222-222-22-22-22-22-2-2-22-2222i−2i0000-22-22-22-22i−2i−2i2i000000000000-222-2000000002i−2i00002i−2i−2i2i000000000000−2i2i0000002i−2i−2i2i-222-20000000000000000
χ672-2-22-222-222-22-22-22-22-2-2-22-222−2i2i0000-22-22-22-2−2i2i2i−2i0000000000002-2-2200000000−2i2i0000−2i2i2i−2i000000000000−2i2i0000002i−2i−2i2i2-2-220000000000000000
χ682-2-22-222-222-22-22-22-22-2-2-22-222−2i2i0000-22-22-22-2−2i2i2i−2i000000000000-222-200000000−2i2i0000−2i2i2i−2i0000000000002i−2i000000−2i2i2i−2i-222-20000000000000000
χ692-2-22-222-22-1-221-11-1-22-2-21-112-12i−2i00001-11-11-11−iii−i3−3−33i3−i3−i3i300002-2-22i3−i3−i3i3i3−i3−i3i32i−2i0000−iii−i3−3−33i3−i3−i3i300002i−2i00−333−3i−i−ii-111-10000000000000000
χ702-2-22-222-22-1-221-11-1-22-2-21-112-12i−2i00001-11-11-11−iii−i3−3−33i3−i3−i3i30000-222-2−i3i3i3−i3−i3i3i3−i32i−2i0000−iii−i3−3−33i3−i3−i3i30000−2i2i003−3−33−iii−i1-1-110000000000000000
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χ8044444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2000000000000000022-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
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χ974-444-4-4-44-24-22-444-4-22224-4-4-2-20000−4i4i2-2-22-22200000000−4i4i−4i4i0000000000000000002i−2i00000000002i−2i2i−2i000000000000000000000000000000000000
χ984-444-4-4-44-2-2-222-2-22-2222-222-2100004i−4i-111-11-1-1−2i32i3−2i32i323−2323−23−2i2i−2i2i000000000000000000−2i2i00i3−i3i3−i3−33−33i−ii−i000000000000000000000000000000000000
χ994-444-4-4-44-2-2-222-2-22-2222-222-2100004i−4i-111-11-1-12i3−2i32i3−2i3−2323−2323−2i2i−2i2i000000000000000000−2i2i00−i3i3−i3i33−33−3i−ii−i000000000000000000000000000000000000
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χ1024-44-444-4-44-2-44222-24-4-44-22-2-4-2000000222-2-22-20000000000004-4-440000-22-222-22-2000000000000000000000000000000000000000000000000000000
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χ1044-44-444-4-4-242-2-4-4-44-222-24-442-2000000222-2-22-20000000000000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
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χ1084-4-44-444-4-2-22-22-22-22-2222-22-214i−4i0000-11-11-11-1−2i2i2i−2i23−23−23232i3−2i3−2i32i30000000000000000−2i2i0000i−i−ii−333−3−i3i3i3−i3000000000000000000000000000000000000
χ1094-4-44-444-4-2-22-22-22-22-2222-22-214i−4i0000-11-11-11-1−2i2i2i−2i−232323−23−2i32i32i3−2i30000000000000000−2i2i0000i−i−ii3−3−33i3−i3−i3i3000000000000000000000000000000000000
χ1104-4-44-444-4-2-22-22-22-22-2222-22-21−4i4i0000-11-11-11-12i−2i−2i2i23−23−2323−2i32i32i3−2i300000000000000002i−2i0000−iii−i−333−3i3−i3−i3i3000000000000000000000000000000000000
χ1114-4-44-444-4-2-22-22-22-22-2222-22-21−4i4i0000-11-11-11-12i−2i−2i2i−232323−232i3−2i3−2i32i300000000000000002i−2i0000−iii−i3−3−33−i3i3i3−i3000000000000000000000000000000000000
χ1124-4-4-44-444444-4-4-44-4-44-44-444-44000000-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-44-4444-24-422-22-44-442-2-2-4-200000022-222-2-200000000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ1144-4-4-44-4444-24-422-22-44-442-2-2-4-200000022-222-2-2000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ1154-4-4-44-444-24-22-4-44-42-22-2-4442-200000022-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000023−23000000
χ1164-4-4-44-444-24-22-4-44-42-22-2-4442-200000022-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000−2323000000
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χ11888-8-8-88-88-4-4-4-4-44-4-444-44444420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-888-8-8-4-44-4444-4-444-4-44-442000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8-88-888-4-4-4444-444-44-44-4-442000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000

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