Finite Group Databasebeta

← Group #72319428

Character table — Group #72319428

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1122222224444444444888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232326464646464646464
order12222222244444444442222222222222222444444444444422224444444444444444444444444488888888888824444444444488888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111-1-1-1-11111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1
χ91111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111
χ111111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1
χ131111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111
χ141111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1
χ161111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ171111-11-1-1-11ii−i−i-111-1111-1-111-1-111-1-111-1-111-1-11-1iii−i−i−i-11-11-11-1i−i11-1-1ii−i−iii−i−ii−iii−i−iii−i−iii−i−i11-1-111-1-11-1i−i11-1-1ii−i−ii−ii−i1-11-1i−i1-1i−i
χ181111-11-1-1-11ii−i−i-111-1111-1-111-1-111-1-111-1-111-1-11-1iii−i−i−i-11-1-11-11i−i11-1-1ii−i−i−i−iiii−iii−i−iii−i−i−i−iii11-1-1-1-111-11−ii11-1-1ii−i−ii−i−ii-11-11−ii-11−ii
χ191111-11-1-1-11ii−i−i-111-1111-1-111-1-1-1-11111-1-111-1-11-1iii−i−i−i-1-111-11-1i−i-1-111−i−iiiii−i−ii−iii−i−i−i−iiiii−i−i11-1-111-1-11-1i−i-1-111−i−iiii−ii−i1-1-11−ii-11−ii
χ201111-11-1-1-11ii−i−i-111-1111-1-111-1-1-1-11111-1-111-1-11-1iii−i−i−i-1-11-11-11i−i-1-111−i−iii−i−iiii−iii−i−i−i−iii−i−iii11-1-1-1-111-11−ii-1-111−i−iiii−i−ii-111-1i−i1-1i−i
χ211111-11-1-1-11ii−i−i-111-1111-1-1-1-11111-1-111-1-1-1-1111-1iii−i−i−i-11-11-11-1i−i11-1-1ii−i−iii−i−ii−i−i−iiiii−i−i−i−iii-1-111-1-111-11−ii-1-111−i−iii−iii−i1-11-1i−i-11−ii
χ221111-11-1-1-11ii−i−i-111-1111-1-1-1-11111-1-111-1-1-1-1111-1iii−i−i−i-11-1-11-11i−i11-1-1ii−i−i−i−iiii−i−i−iiiii−i−iii−i−i-1-11111-1-11-1i−i-1-111−i−iii−ii−ii-11-11−ii1-1i−i
χ231111-11-1-1-11ii−i−i-111-1111-1-1-1-111-1-11111-1-1-1-1111-1iii−i−i−i-1-111-11-1i−i-1-111−i−iiiii−i−ii−i−i−iii−i−iii−i−iii-1-111-1-111-11−ii11-1-1ii−i−i−iii−i1-1-11−ii1-1i−i
χ241111-11-1-1-11ii−i−i-111-1111-1-1-1-111-1-11111-1-1-1-1111-1iii−i−i−i-1-11-11-11i−i-1-111−i−iii−i−iiii−i−i−iii−i−iiiii−i−i-1-11111-1-11-1i−i11-1-1ii−i−i−ii−ii-111-1i−i-11−ii
χ251111-11-1-1-11−i−iii-111-1111-1-111-1-111-1-111-1-111-1-11-1−i−i−iiii-11-11-11-1−ii11-1-1−i−iii−i−iii−ii−i−iii−i−iii−i−iii11-1-111-1-11-1−ii11-1-1−i−iii−ii−ii1-11-1−ii1-1−ii
χ261111-11-1-1-11−i−iii-111-1111-1-111-1-111-1-111-1-111-1-11-1−i−i−iiii-11-1-11-11−ii11-1-1−i−iiiii−i−i−ii−i−iii−i−iiiii−i−i11-1-1-1-111-11i−i11-1-1−i−iii−iii−i-11-11i−i-11i−i
χ271111-11-1-1-11−i−iii-111-1111-1-111-1-1-1-11111-1-111-1-11-1−i−i−iiii-1-111-11-1−ii-1-111ii−i−i−i−iii−ii−i−iiiii−i−i−i−iii11-1-111-1-11-1−ii-1-111ii−i−i−ii−ii1-1-11i−i-11i−i
χ281111-11-1-1-11−i−iii-111-1111-1-111-1-1-1-11111-1-111-1-11-1−i−i−iiii-1-11-11-11−ii-1-111ii−i−iii−i−i−ii−i−iiiii−i−iii−i−i11-1-1-1-111-11i−i-1-111ii−i−i−iii−i-111-1−ii1-1−ii
χ291111-11-1-1-11−i−iii-111-1111-1-1-1-11111-1-111-1-1-1-1111-1−i−i−iiii-11-11-11-1−ii11-1-1−i−iii−i−iii−iiii−i−i−i−iiiii−i−i-1-111-1-111-11i−i-1-111ii−i−ii−i−ii1-11-1−ii-11i−i
χ301111-11-1-1-11−i−iii-111-1111-1-1-1-11111-1-111-1-1-1-1111-1−i−i−iiii-11-1-11-11−ii11-1-1−i−iiiii−i−i−iiii−i−i−i−iii−i−iii-1-11111-1-11-1−ii-1-111ii−i−ii−ii−i-11-11i−i1-1−ii
χ311111-11-1-1-11−i−iii-111-1111-1-1-1-111-1-11111-1-1-1-1111-1−i−i−iiii-1-111-11-1−ii-1-111ii−i−i−i−iii−iiii−i−iii−i−iii−i−i-1-111-1-111-11i−i11-1-1−i−iiii−i−ii1-1-11i−i1-1−ii
χ321111-11-1-1-11−i−iii-111-1111-1-1-1-111-1-11111-1-1-1-1111-1−i−i−iiii-1-11-11-11−ii-1-111ii−i−iii−i−i−iiii−i−iii−i−i−i−iii-1-11111-1-11-1−ii11-1-1−i−iiii−ii−i-111-1−ii-11i−i
χ332222222222222222222-2-2-2-200000000-2-2-2-20000222-2-22-2-2200000022000000000000-2-200000000222200002222-2-2-2-20000000000000000000000
χ342222222222222222222-2-2-2-200000000-2-2-2-20000222-2-22-2-2200000022000000000000-2-200000000-2-2-2-20000-2-2-2-222220000000000000000000000
χ35222222222222222-2-2222-22-2000000002-22-20000-2-22-2-22-2-2-2002222-2-2000000002222220000000000000000000000000000000000-2-2-2-200000000
χ36222222222222222-2-2222-22-2000000002-22-20000-2-22-2-22-2-2-200-2-2-2-2-2-200000000-2-2-2-2220000000000000000000000000000000000222200000000
χ37222222222222222-2-222-22-2222220000-22-222222-2-2222222-2000000-2-2000000000000-2-2222200000000-2-2-2-20000000000000000-2-2000000000000
χ38222222222222222-2-222-22-22-2-2-2-20000-22-22-2-2-2-2-2-2222222-2000000-2-2000000000000-2-2-2-2-2-2000000002222000000000000000022000000000000
χ392222222222-2-2-2-222222-2-2-2-200000000-2-2-2-2000022-222-2222000000-2-2000000000000220000000022220000-2-2-2-222-2-20000000000000000000000
χ402222222222-2-2-2-222222-2-2-2-200000000-2-2-2-2000022-222-2222000000-2-20000000000002200000000-2-2-2-200002222-2-2220000000000000000000000
χ412222222222-2-2-2-22-2-2222-22-2000000002-22-20000-2-2-222-222-20022222200000000-2-2-2-2-2-2000000000000000000000000000000000022-2-200000000
χ422222222222-2-2-2-22-2-2222-22-2000000002-22-20000-2-2-222-222-200-2-2-2-222000000002222-2-20000000000000000000000000000000000-2-22200000000
χ432222222222-2-2-2-22-2-222-22-2222220000-22-222222-2-2-2-2-2-2-2-2-20000002200000000000022-2-2-2-200000000-2-2-2-2000000000000000022000000000000
χ442222222222-2-2-2-22-2-222-22-22-2-2-2-20000-22-22-2-2-2-2-2-2-2-2-2-2-2-2-2000000220000000000002222220000000022220000000000000000-2-2000000000000
χ452222-22-2-2-222i2i−2i−2i-222-22-2-22200000000-2-22200002-22i−2i−2i−2i2i2i-20000002i−2i000000000000−2i2i000000002i2i−2i−2i000022-2-2-22−2i2i0000000000000000000000
χ462222-22-2-2-222i2i−2i−2i-222-22-2-22200000000-2-22200002-22i−2i−2i−2i2i2i-20000002i−2i000000000000−2i2i00000000−2i−2i2i2i0000-2-2222-22i−2i0000000000000000000000
χ472222-22-2-2-222i2i−2i−2i-2-2-2-222-2-22000000002-2-220000-222i−2i−2i−2i2i2i2002-22-2−2i2i000000002i2i−2i−2i2i−2i0000000000000000000000000000000000−2i2i-2200000000
χ482222-22-2-2-222i2i−2i−2i-2-2-2-222-2-22000000002-2-220000-222i−2i−2i−2i2i2i200-22-22−2i2i00000000−2i−2i2i2i2i−2i00000000000000000000000000000000002i−2i2-200000000
χ492222-22-2-2-222i2i−2i−2i-2-2-2-22-222-222-2-20000-222-222-2-2-222i2i2i−2i−2i−2i2000000−2i2i000000000000−2i2i2i2i−2i−2i00000000-2-2220000000000000000−2i2i000000000000
χ502222-22-2-2-222i2i−2i−2i-2-2-2-22-222-2-2-2220000-222-2-2-222-222i2i2i−2i−2i−2i2000000−2i2i000000000000−2i2i−2i−2i2i2i0000000022-2-200000000000000002i−2i000000000000
χ512222-22-2-2-22−2i−2i2i2i-222-22-2-22200000000-2-22200002-2−2i2i2i2i−2i−2i-2000000−2i2i0000000000002i−2i000000002i2i−2i−2i0000-2-2222-2−2i2i0000000000000000000000
χ522222-22-2-2-22−2i−2i2i2i-222-22-2-22200000000-2-22200002-2−2i2i2i2i−2i−2i-2000000−2i2i0000000000002i−2i00000000−2i−2i2i2i000022-2-2-222i−2i0000000000000000000000
χ532222-22-2-2-22−2i−2i2i2i-2-2-2-222-2-22000000002-2-220000-22−2i2i2i2i−2i−2i2002-22-22i−2i00000000−2i−2i2i2i−2i2i00000000000000000000000000000000002i−2i-2200000000
χ542222-22-2-2-22−2i−2i2i2i-2-2-2-222-2-22000000002-2-220000-22−2i2i2i2i−2i−2i200-22-222i−2i000000002i2i−2i−2i−2i2i0000000000000000000000000000000000−2i2i2-200000000
χ552222-22-2-2-22−2i−2i2i2i-2-2-2-22-222-222-2-20000-222-222-2-2-22−2i−2i−2i2i2i2i20000002i−2i0000000000002i−2i−2i−2i2i2i00000000-2-22200000000000000002i−2i000000000000
χ562222-22-2-2-22−2i−2i2i2i-2-2-2-22-222-2-2-2220000-222-2-2-222-22−2i−2i−2i2i2i2i20000002i−2i0000000000002i−2i2i2i−2i−2i0000000022-2-20000000000000000−2i2i000000000000
χ5722-2-222-22-2-20000-22222-2-2-222-22-222-2-2222-22-22-2-2-20000002-220000002-22-200000000000000000000002-22-2000000002-22-2000000000000000000
χ5822-2-222-22-2-20000-22222-2-2-222-22-2-2-222222-22-22-2-2-200000022-2000000-22-2200000000000000000000002-22-200000000-22-22000000000000000000
χ5922-2-222-22-2-20000-22222-2-2-22-22-2222-2-2222-2-22-22-2-20000002-220000002-22-20000000000000000000000-22-2200000000-22-22000000000000000000
χ6022-2-222-22-2-20000-22222-2-2-22-22-22-2-222222-2-22-22-2-200000022-2000000-22-220000000000000000000000-22-22000000002-22-2000000000000000000
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χ6222-2-222-22-2-20000-2-2-2222-2222-22-20000-22-2-22-22-222000000-2000000000000−2i2i−2i2i0000000000−2i2i−2i2i0000-22-22000000000000−2i2i−2i2i00000000000000
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χ6922-2-2-222-22-200002-2-2-222-2-2-22-2-220000-22222-2-222-200000020000000000002-2-2200000000002-2-220000-222-20000000000002-2-2200000000000000
χ7022-2-2-222-22-200002-2-2-222-2-2-22-2-220000-22222-2-222-20000002000000000000-222-20000000000-222-20000-222-2000000000000-222-200000000000000
χ7122-2-2-222-22-200002-2-2-222-2-2-2-222-20000-2222-222-22-200000020000000000002-2-2200000000002-2-2200002-2-22000000000000-222-200000000000000
χ7222-2-2-222-22-200002-2-2-222-2-2-2-222-20000-2222-222-22-20000002000000000000-222-20000000000-222-200002-2-220000000000002-2-2200000000000000
χ73444444444-44444-400-4-40000000022220000000000-400-400022000000-2-2-2-2-2-2-2-20000000000222200000000000000000000000000000000000000
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χ794444-44-4-4-4-4−4i−4i4i4i4004-40000000022-2-200000000004i00−4i0002-2000000-2-2222i2i−2i−2i0000000000−2i−2i2i2i00000000000000000000000000000000000000
χ804444-44-4-4-4-4−4i−4i4i4i4004-400000000-2-22200000000004i00−4i000-2200000022-2-2−2i−2i2i2i00000000002i2i−2i−2i00000000000000000000000000000000000000
χ81444-44-44-4-404i−4i4i−4i00000000022-2-200000000-2-2220000000000022-2-200000000002i−2i2i−2i002i−2i2i−2i00002i−2i2i−2i00002-22-200000000000000000000000000
χ82444-44-44-4-404i−4i4i−4i00000000022-2-200000000-2-22200000000000-2-2220000000000−2i2i−2i2i002i−2i2i−2i0000−2i2i−2i2i0000-22-2200000000000000000000000000
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χ84444-44-44-4-404i−4i4i−4i000000000-2-2220000000022-2-200000000000-2-2220000000000−2i2i−2i2i00−2i2i−2i2i00002i−2i2i−2i00002-22-200000000000000000000000000
χ85444-44-44-4-40−4i4i−4i4i00000000022-2-200000000-2-2220000000000022-2-20000000000−2i2i−2i2i00−2i2i−2i2i0000−2i2i−2i2i00002-22-200000000000000000000000000
χ86444-44-44-4-40−4i4i−4i4i00000000022-2-200000000-2-22200000000000-2-22200000000002i−2i2i−2i00−2i2i−2i2i00002i−2i2i−2i0000-22-2200000000000000000000000000
χ87444-44-44-4-40−4i4i−4i4i000000000-2-2220000000022-2-20000000000022-2-20000000000−2i2i−2i2i002i−2i2i−2i00002i−2i2i−2i0000-22-2200000000000000000000000000
χ88444-44-44-4-40−4i4i−4i4i000000000-2-2220000000022-2-200000000000-2-22200000000002i−2i2i−2i002i−2i2i−2i0000−2i2i−2i2i00002-22-200000000000000000000000000
χ89444-4-4-4-44404-4-44000000000222200000000-2-2-2-2000000000002-2-2200000000002-2-22002-2-2200002-2-2200002-2-2200000000000000000000000000
χ90444-4-4-4-44404-4-44000000000222200000000-2-2-2-200000000000-222-20000000000-222-2002-2-220000-222-20000-222-200000000000000000000000000
χ91444-4-4-4-44404-4-44000000000-2-2-2-2000000002222000000000002-2-2200000000002-2-2200-222-20000-222-20000-222-200000000000000000000000000
χ92444-4-4-4-44404-4-44000000000-2-2-2-200000000222200000000000-222-20000000000-222-200-222-200002-2-2200002-2-2200000000000000000000000000
χ93444-4-4-4-4440-444-4000000000222200000000-2-2-2-2000000000002-2-220000000000-222-200-222-20000-222-200002-2-2200000000000000000000000000
χ94444-4-4-4-4440-444-4000000000222200000000-2-2-2-200000000000-222-200000000002-2-2200-222-200002-2-220000-222-200000000000000000000000000
χ95444-4-4-4-4440-444-4000000000-2-2-2-2000000002222000000000002-2-220000000000-222-2002-2-2200002-2-220000-222-200000000000000000000000000
χ96444-4-4-4-4440-444-4000000000-2-2-2-200000000222200000000000-222-200000000002-2-22002-2-220000-222-200002-2-2200000000000000000000000000
χ9744-4-444-44-440000400-4-40000000022-2-2000000000004i−4i04i−4i0-22000000-22-222i−2i2i−2i0000000000−2i2i−2i2i00000000000000000000000000000000000000
χ9844-4-444-44-440000400-4-40000000022-2-200000000000−4i4i0−4i4i0-22000000-22-22−2i2i−2i2i00000000002i−2i2i−2i00000000000000000000000000000000000000
χ9944-4-444-44-440000400-4-400000000-2-222000000000004i−4i04i−4i02-20000002-22-2−2i2i−2i2i00000000002i−2i2i−2i00000000000000000000000000000000000000
χ10044-4-444-44-440000400-4-400000000-2-22200000000000−4i4i0−4i4i02-20000002-22-22i−2i2i−2i0000000000−2i2i−2i2i00000000000000000000000000000000000000
χ10144-4-444-44-4-40000-44444444-400000000-4-4-440000-4-4000000400000000000000000000000000000000000000000000000000000000000000000000
χ10244-4-444-44-4-40000-4-4-444-44-4-4000000004-444000044000000-400000000000000000000000000000000000000000000000000000000000000000000
χ10344-4-4-444-4440000-4004-4000000002222000000000004-40-440-2-2000000-222-22-2-220000000000-222-200000000000000000000000000000000000000
χ10444-4-4-444-4440000-4004-400000000222200000000000-4404-40-2-2000000-222-2-222-200000000002-2-2200000000000000000000000000000000000000
χ10544-4-4-444-4440000-4004-400000000-2-2-2-2000000000004-40-440220000002-2-22-222-200000000002-2-2200000000000000000000000000000000000000
χ10644-4-4-444-4440000-4004-400000000-2-2-2-200000000000-4404-40220000002-2-222-2-220000000000-222-200000000000000000000000000000000000000
χ10744-4-4-444-44-40000444-4444-4400000000-4-44-40000-44000000-400000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-444-44-400004-4-4-44-4444000000004-4-4-400004-4000000400000000000000000000000000000000000000000000000000000000000000000000
χ10988-888-8-8-88000000000000004-4-4400000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-888-8-8-8800000000000000-444-4000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-88-8-888-8000000000000004-44-400000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-888-800000000000000-44-44000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-1600000000000008-80000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-1600000000000008-8000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-160000000000000-8800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-160000000000000-880000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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