Finite Group Databasebeta

← Group #10691439

Character table — Group #10691439

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12224444223444444666121212124444444444661212121212124444444488881212121212121212121224242424242424242222444444448824242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-111111-1-1111-1-1-1-11-1iiii−i−i−i−i-1-111-1-111iiii−i−i−i−i11-1-11-1iiii−i−i−i−i1111-1-1-1-111-1-111-1-1ii−i−ii−iii−i−iii−i−i1-1
χ101111-1-1-1-1-1-111111-1-1111-1-1-1-11-1iiii−i−i−i−i-1-111-1-111iiii−i−i−i−i-1-1111-1iiii−i−i−i−i-1-1-1-1111111-1-111-1-1ii−i−i−ii−i−iii−i−iii-11
χ111111-1-1-1-1-1-111111-1-1111-1-1-1-11-1iiii−i−i−i−i-1-111-1-111−i−i−i−iiiii11-1-11-1iiii−i−i−i−i1111-1-1-1-1-1-111-1-111−i−iiii−iii−i−i−i−iii-11
χ121111-1-1-1-1-1-111111-1-1111-1-1-1-11-1iiii−i−i−i−i-1-111-1-111−i−i−i−iiiii-1-1111-1iiii−i−i−i−i-1-1-1-11111-1-111-1-111−i−iii−ii−i−iiiii−i−i1-1
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-11-1−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i11-1-11-1−i−i−i−iiiii1111-1-1-1-1-1-111-1-111ii−i−i−ii−i−iiiii−i−i-11
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-11-1−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i-1-1111-1−i−i−i−iiiii-1-1-1-11111-1-111-1-111ii−i−ii−iii−i−i−i−iii1-1
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-11-1−i−i−i−iiiii-1-111-1-111−i−i−i−iiiii11-1-11-1−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−iii−ii−i−iii−i−iii1-1
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-11-1−i−i−i−iiiii-1-111-1-111−i−i−i−iiiii-1-1111-1−i−i−i−iiiii-1-1-1-1111111-1-111-1-1−i−iiii−iii−i−iii−i−i-11
χ172222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2222222220000-2-2000000000000000000000000-2-2-2-2000000000000
χ182222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000000000002222000000000000
χ192222222222-1222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ202222222222-1222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ212222222222-1222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ222222222222-1222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2322222222-2-22-2-222222222222-2-200000000-2-2-2-22222000000000000-2-2000000000000000022-2-2-2-2220000000000000000
χ2422222222-2-22-2-222222222222-2-200000000-2-2-2-22222000000000000-2-20000000000000000-2-22222-2-20000000000000000
χ2522222222-2-22-2-2-2-2-2-22222222222i2i−2i−2i2i2i−2i−2i-2-2-2-2-2-2-2-2000000000000222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ2622222222-2-22-2-2-2-2-2-2222222222−2i−2i2i2i−2i−2i2i2i-2-2-2-2-2-2-2-200000000000022−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ2722222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1222i2i−2i−2i2i2i−2i−2i11111111000000000000-1-1−i−iii−i−iii33−3−333−3−300000000000000−i3i3−i3i3000000
χ2822222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1222i2i−2i−2i2i2i−2i−2i11111111000000000000-1-1−i−iii−i−iii−3−333−3−33300000000000000i3−i3i3−i3000000
χ2922222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-122−2i−2i2i2i−2i−2i2i2i11111111000000000000-1-1ii−i−iii−i−i33−3−333−3−300000000000000i3−i3i3−i3000000
χ3022222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-122−2i−2i2i2i−2i−2i2i2i11111111000000000000-1-1ii−i−iii−i−i−3−333−3−33300000000000000−i3i3−i3i3000000
χ312222-2-2-2-2222-2-222-2-2222-2-2-2-2-220000000022-2-2-2-222000000000000-2200000000000000002222-2-2-2-20000000000000000
χ322222-2-2-2-2222-2-222-2-2222-2-2-2-2-220000000022-2-2-2-222000000000000-220000000000000000-2-2-2-222220000000000000000
χ332222-2-2-2-2222-2-2-2-222222-2-2-2-22-222-2-2-2-22222-2-222-2-20000000000002-222-2-2-2-22200000000000000000000000000000000
χ342222-2-2-2-2222-2-2-2-222222-2-2-2-22-2-2-22222-2-222-2-222-2-20000000000002-2-2-22222-2-200000000000000000000000000000000
χ352222-2-2-2-222-1-2-2-2-222-1-1-111112-222-2-2-2-222-1-111-1-111000000000000-11-1-11111-1-133−3−3−3−33300000000000000−333−3000000
χ362222-2-2-2-222-1-2-2-2-222-1-1-111112-222-2-2-2-222-1-111-1-111000000000000-11-1-11111-1-1−3−33333−3−3000000000000003−3−33000000
χ372222-2-2-2-222-1-2-2-2-222-1-1-111112-2-2-22222-2-2-1-111-1-111000000000000-1111-1-1-1-11133−3−3−3−333000000000000003−3−33000000
χ382222-2-2-2-222-1-2-2-2-222-1-1-111112-2-2-22222-2-2-1-111-1-111000000000000-1111-1-1-1-111−3−33333−3−300000000000000−333−3000000
χ392222-2-2-2-2-2-2222-2-222222-2-2-2-2-2200000000-2-22222-2-22i2i2i2i−2i−2i−2i−2i0000-22000000000000000000000000−2i−2i2i2i000000000000
χ402222-2-2-2-2-2-2222-2-222222-2-2-2-2-2200000000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i0000-220000000000000000000000002i2i−2i−2i000000000000
χ412222-2-2-2-2-2-2-12222-2-2-1-1-111112-22i2i2i2i−2i−2i−2i−2i11-1-111-1-10000000022-2-2-11−i−i−i−iiiii-1-1-1-111110000000000002i−2i−i−iii000000
χ422222-2-2-2-2-2-2-12222-2-2-1-1-111112-22i2i2i2i−2i−2i−2i−2i11-1-111-1-100000000-2-222-11−i−i−i−iiiii1111-1-1-1-1000000000000−2i2iii−i−i000000
χ432222-2-2-2-2-2-2-12222-2-2-1-1-111112-2−2i−2i−2i−2i2i2i2i2i11-1-111-1-10000000022-2-2-11iiii−i−i−i−i-1-1-1-11111000000000000−2i2iii−i−i000000
χ442222-2-2-2-2-2-2-12222-2-2-1-1-111112-2−2i−2i−2i−2i2i2i2i2i11-1-111-1-100000000-2-222-11iiii−i−i−i−i1111-1-1-1-10000000000002i−2i−i−iii000000
χ4522-2-222-2-2-2222-200002-2-222-2-20000000000-222-2000022-2-222-2-2−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000−i2i2−i2i200
χ4622-2-222-2-2-2222-200002-2-222-2-20000000000-222-2000022-2-222-2-2i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000i2−i2i2−i200
χ4722-2-222-2-2-2222-200002-2-222-2-20000000000-222-20000-2-222-2-222−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000i2−i2i2−i200
χ4822-2-222-2-2-2222-200002-2-222-2-20000000000-222-20000-2-222-2-222i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000−i2i2−i2i200
χ4922-2-2-2-2222-222-200002-2-2-2-22200000000002-22-200002i2i−2i−2i−2i−2i2i2i−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i20000000000000000002−2−2200
χ5022-2-2-2-2222-222-200002-2-2-2-22200000000002-22-200002i2i−2i−2i−2i−2i2i2ii2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000−222−200
χ5122-2-2-2-2222-222-200002-2-2-2-22200000000002-22-20000−2i−2i2i2i2i2i−2i−2i−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000−222−200
χ5222-2-2-2-2222-222-200002-2-2-2-22200000000002-22-20000−2i−2i2i2i2i2i−2i−2ii2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i20000000000000000002−2−2200
χ532-22-22i−2i2i−2i002002-22i−2i-22-22i−2i2i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002i−2i2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-200002i−2i1+i−1−i1−i−1+i000000000000
χ542-22-22i−2i2i−2i002002-22i−2i-22-22i−2i2i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002i−2i2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000-220000−2i2i−1−i1+i−1+i1−i000000000000
χ552-22-22i−2i2i−2i002002-22i−2i-22-22i−2i2i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002i−2i2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000-220000−2i2i1+i−1−i1−i−1+i000000000000
χ562-22-22i−2i2i−2i002002-22i−2i-22-22i−2i2i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002i−2i2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-200002i−2i−1−i1+i−1+i1−i000000000000
χ572-22-22i−2i2i−2i00200-22−2i2i-22-22i−2i2i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000−2i2i-221+i−1−i1+i−1−i1−i−1+i1−i−1+i0000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000002-22i−2i00−1−i1+i−1+i1−i000000000000
χ582-22-22i−2i2i−2i00200-22−2i2i-22-22i−2i2i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000−2i2i-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000-22−2i2i001+i−1−i1−i−1+i000000000000
χ592-22-22i−2i2i−2i00200-22−2i2i-22-22i−2i2i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000−2i2i-221+i−1−i1+i−1−i1−i−1+i1−i−1+i000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000-22−2i2i00−1−i1+i−1+i1−i000000000000
χ602-22-22i−2i2i−2i00200-22−2i2i-22-22i−2i2i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000−2i2i-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000002-22i−2i001+i−1−i1−i−1+i000000000000
χ612-22-2−2i2i−2i2i002002-2−2i2i-22-2−2i2i−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000−2i2i2-21−i−1+i1−i−1+i1+i−1−i1+i−1−i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-20000−2i2i1−i−1+i1+i−1−i000000000000
χ622-22-2−2i2i−2i2i002002-2−2i2i-22-2−2i2i−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000−2i2i2-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000-2200002i−2i−1+i1−i−1−i1+i000000000000
χ632-22-2−2i2i−2i2i002002-2−2i2i-22-2−2i2i−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−2i2i2-21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000-2200002i−2i1−i−1+i1+i−1−i000000000000
χ642-22-2−2i2i−2i2i002002-2−2i2i-22-2−2i2i−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−2i2i2-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-20000−2i2i−1+i1−i−1−i1+i000000000000
χ652-22-2−2i2i−2i2i00200-222i−2i-22-2−2i2i−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i00002i−2i-221−i−1+i1−i−1+i1+i−1−i1+i−1−i0000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000002-2−2i2i00−1+i1−i−1−i1+i000000000000
χ662-22-2−2i2i−2i2i00200-222i−2i-22-2−2i2i−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i00002i−2i-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000-222i−2i001−i−1+i1+i−1−i000000000000
χ672-22-2−2i2i−2i2i00200-222i−2i-22-2−2i2i−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i00002i−2i-221−i−1+i1−i−1+i1+i−1−i1+i−1−i000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000-222i−2i00−1+i1−i−1−i1+i000000000000
χ682-22-2−2i2i−2i2i00200-222i−2i-22-2−2i2i−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i00002i−2i-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000002-2−2i2i001−i−1+i1+i−1−i000000000000
χ694444444444-244-4-4-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-4-4-2-4-44444-2-2-2-2-2-2-2-4-4000000002222-2-2-2-2000000000000220000000000000000000000000000000000000000
χ714444-4-4-4-444-2-4-444-4-4-2-2-22222-4400000000-2-22222-2-20000000000002-20000000000000000000000000000000000000000
χ724444-4-4-4-4-4-4-244-4-444-2-2-22222-440000000022-2-2-2-2220000000000002-20000000000000000000000000000000000000000
χ7344-4-444-4-44-44-4400004-4-444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ7444-4-444-4-44-4-2-440000-222-2-2220000000000-222-200000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ7544-4-444-4-44-4-2-440000-222-2-2220000000000-222-200000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ7644-4-444-4-4-44-24-40000-222-2-22200000000002-2-22000000000000−2i22i2−2i22i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ7744-4-444-4-4-44-24-40000-222-2-22200000000002-2-220000000000002i2−2i22i2−2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ7844-4-4-4-4444-4-24-40000-22222-2-20000000000-22-22000000000000−2i22i22i2−2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ7944-4-4-4-4444-4-24-40000-22222-2-20000000000-22-220000000000002i2−2i2−2i22i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
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χ8144-4-4-4-444-44-2-440000-22222-2-200000000002-22-200000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ8244-4-4-4-444-44-2-440000-22222-2-200000000002-22-200000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ834-44-44i−4i4i−4i00-2004-44i−4i2-22−2i2i−2i2i002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i0000−2i2i-2200000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000000000000000
χ844-44-44i−4i4i−4i00-2004-44i−4i2-22−2i2i−2i2i00−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000−2i2i-22000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000000000000000
χ854-44-44i−4i4i−4i00-200-44−4i4i2-22−2i2i−2i2i002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00002i−2i2-200000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000000000000000000000000000
χ864-44-44i−4i4i−4i00-200-44−4i4i2-22−2i2i−2i2i00−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00002i−2i2-2000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000000000000000000000000000
χ874-44-4−4i4i−4i4i00-2004-4−4i4i2-222i−2i2i−2i002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i00002i−2i-2200000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000000000000000
χ884-44-4−4i4i−4i4i00-2004-4−4i4i2-222i−2i2i−2i00−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i00002i−2i-22000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000000000000000
χ894-44-4−4i4i−4i4i00-200-444i−4i2-222i−2i2i−2i002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i0000−2i2i2-200000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000000000000000000000000000
χ904-44-4−4i4i−4i4i00-200-444i−4i2-222i−2i2i−2i00−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i0000−2i2i2-2000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000000000000000000000000000
χ914-4-444i−4i−4i4i004000000-4-444i−4i−4i4i0000000000000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000000000
χ924-4-444i−4i−4i4i004000000-4-444i−4i−4i4i000000000000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000000000
χ934-4-44−4i4i4i−4i004000000-4-44−4i4i4i−4i0000000000000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000000000
χ944-4-44−4i4i4i−4i004000000-4-44−4i4i4i−4i000000000000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000000000
χ958-8-888i−8i−8i8i00-400000044-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88−8i8i8i−8i00-400000044-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000

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