Finite Group Databasebeta

← Group #11774561

Character table — Group #11774561

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order1222444422334444446666666666121212121212121212121212344666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244446666666612121212121212128888242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ17222222222222-2-222-2-222222222222222222222222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222-1222222-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-122-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1922222222222-1222222-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-122-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2022222222222-1-2-222-2-2-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-211-2-211-2-21122-2-2111111-1-1-1-111111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2122222222222-1-2-222-2-2-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-211-2-211-2-21122-2-2111111-1-1-1-111111111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ222222222222-122222222222-1-1-1222-1-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ232222222222-122222222222-1-1-1222-1-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ242222222222-12-2-222-2-22222-1-1-1222-1-122222222-1-1-1-2-2-1-1-1-1-1-1-1-1-111-2-211-2-211-2-2-1-111-2-21111-1-1-1-111111111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ252222222222-12-2-222-2-22222-1-1-1222-1-122222222-1-1-1-2-2-1-1-1-1-1-1-1-1-111-2-211-2-211-2-2-1-111-2-21111-1-1-1-111111111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2622222222-2-222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2722222222-2-22-122-2-2221111222-1-1-122-1-1-1-1111122-1-2-2-2-21111-1-1-122-1-122-1-1-2-211-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ2822222222-2-22-122-2-2221111222-1-1-122-1-1-1-1111122-1-2-2-2-21111-1-1-122-1-122-1-1-2-211-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ2922222222-2-22-1-2-2-2-2-2-21111222-1-1-122-1-1-1-1111122-122-2-21111-1-1-1-2-211-2-21122-1-1-2-222-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ3022222222-2-22-1-2-2-2-2-2-21111222-1-1-122-1-1-1-1111122-122-2-21111-1-1-1-2-211-2-21122-1-1-2-222-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ3122222222-2-2-1222-2-222-2-2-2-2-1-1-1222-1-12222-2-2-2-2-1-1-1-2-2111111-1-1-1-1-122-1-12211-2-21111-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ3222222222-2-2-1222-2-222-2-2-2-2-1-1-1222-1-12222-2-2-2-2-1-1-1-2-2111111-1-1-1-1-122-1-12211-2-21111-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ3322222222-2-2-12-2-2-2-2-2-2-2-2-2-2-1-1-1222-1-12222-2-2-2-2-1-1-122111111-1-1-111-2-211-2-2-1-12211-1-1221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-2-2-12-2-2-2-2-2-2-2-2-2-2-1-1-1222-1-12222-2-2-2-2-1-1-122111111-1-1-111-2-211-2-2-1-12211-1-1221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ352222-2-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22-22222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ362222-2-2-2-2222-122-2-2-2-2-1-1-1-1222-1-1-1-2-211111111-2-2-12-222-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-2-2-211-1-1-1-111111111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ372222-2-2-2-2222-122-2-2-2-2-1-1-1-1222-1-1-1-2-211111111-2-2-12-222-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-2-2-211-1-1-1-111111111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ382222-2-2-2-2222-1-2-2-2-222-1-1-1-1222-1-1-1-2-211111111-2-2-1-2222-1-1-1-1-1-1-1-2-21122-1-1-2-211-2-222-1-111111111-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ392222-2-2-2-2222-1-2-2-2-222-1-1-1-1222-1-1-1-2-211111111-2-2-1-2222-1-1-1-1-1-1-1-2-21122-1-1-2-211-2-222-1-111111111-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ402222-2-2-2-222-1222-2-2-2-22222-1-1-122211-2-2-2-2-2-2-2-211-12-2-1-1-1-1-1-1-1-1-1-1-12211-2-2-1-1221111-2-2-1-1-1-111111111-1-1-1-1111111110000000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ412222-2-2-2-222-1222-2-2-2-22222-1-1-122211-2-2-2-2-2-2-2-211-12-2-1-1-1-1-1-1-1-1-1-1-12211-2-2-1-1221111-2-2-1-1-1-111111111-1-1-1-111111111000000000000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ422222-2-2-2-222-12-2-2-2-2222222-1-1-122211-2-2-2-2-2-2-2-211-1-22-1-1-1-1-1-1-1-1-111-2-2-1-12211-2-211-1-12211111111-1-1-1-111111111-1-1-1-100000000000000000000000000003−3−333−3−3300000000
χ432222-2-2-2-222-12-2-2-2-2222222-1-1-122211-2-2-2-2-2-2-2-211-1-22-1-1-1-1-1-1-1-1-111-2-2-1-12211-2-211-1-12211111111-1-1-1-111111111-1-1-1-10000000000000000000000000000−333−3−333−300000000
χ442222-2-2-2-2-2-222-2-22222-2-2-2-2222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-200000000000000000000000000000000000000000000
χ452222-2-2-2-2-2-22-12222-2-21111222-1-1-1-2-21111-1-1-1-1-2-2-1-22-2-21111-1-1-122-1-1-2-211-2-2112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ462222-2-2-2-2-2-22-12222-2-21111222-1-1-1-2-21111-1-1-1-1-2-2-1-22-2-21111-1-1-122-1-1-2-211-2-2112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ472222-2-2-2-2-2-22-1-2-222221111222-1-1-1-2-21111-1-1-1-1-2-2-12-2-2-21111-1-1-1-2-21122-1-122-1-122-2-21111111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ482222-2-2-2-2-2-22-1-2-222221111222-1-1-1-2-21111-1-1-1-1-2-2-12-2-2-21111-1-1-1-2-21122-1-122-1-122-2-21111111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ492222-2-2-2-2-2-2-122222-2-2-2-2-2-2-1-1-122211-2-2-2-2222211-1-22111111-1-1-1-1-12211-2-211-2-2-1-1-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ502222-2-2-2-2-2-2-122222-2-2-2-2-2-2-1-1-122211-2-2-2-2222211-1-22111111-1-1-1-1-12211-2-211-2-2-1-1-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ512222-2-2-2-2-2-2-12-2-22222-2-2-2-2-1-1-122211-2-2-2-2222211-12-2111111-1-1-111-2-2-1-122-1-122-1-111-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000003−3−33−333−300000000
χ522222-2-2-2-2-2-2-12-2-22222-2-2-2-2-1-1-122211-2-2-2-2222211-12-2111111-1-1-111-2-2-1-122-1-122-1-111-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000−333−33−3−3300000000
χ5322-2-22i−2i2i−2i00222-2002i−2i00002-2-22-2-22i−2i2i2i−2i−2i00002i−2i2000000002-2-22-22-22i−2i2i−2i000000000022-2-22i2i−2i−2i2i2i−2i−2i000000000000002-2002i−2i00002-22-200002i−2i2i−2i00000000000000000000
χ5422-2-22i−2i2i−2i00222-2002i−2i00002-2-22-2-22i−2i2i2i−2i−2i00002i−2i2000000002-2-22-22-22i−2i2i−2i000000000022-2-22i2i−2i−2i2i2i−2i−2i00000000000000-2200−2i2i0000-22-220000−2i2i−2i2i00000000000000000000
χ5522-2-22i−2i2i−2i0022-2200−2i2i00002-2-22-2-22i−2i2i2i−2i−2i00002i−2i2000000002-2-2-22-22−2i2i−2i2i0000000000-2-2222i2i−2i−2i−2i−2i2i2i0000000000002-2002i−2i002-22-200002i−2i2i−2i000000000000000000000000
χ5622-2-22i−2i2i−2i0022-2200−2i2i00002-2-22-2-22i−2i2i2i−2i−2i00002i−2i2000000002-2-2-22-22−2i2i−2i2i0000000000-2-2222i2i−2i−2i−2i−2i2i2i000000000000-2200−2i2i00-22-220000−2i2i−2i2i000000000000000000000000
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χ1224-44-4−4i4i4i−4i00-2-20000002i3−2i3−2i32i322-22-222i−2i2i−2i−2i2i23−23−2323−2i2i10000−i3i3i3−i3-1-1100000000−23230000−2i32i3003i−3i3i−3i−iii−i-33-333−33−3−333−3i3−i3i3−i300000000000000000000000000000000000000000000
χ1234-4-4444-4-44-44-2004-400-22-22-44-422-244-22-22-22-22-4-4-2004-4-22-222-220000000000004-400000000-22-2200000000-22-22000000000000000000000000000000000000000000000000
χ1244-4-4444-4-44-4-24004-4004-44-42-22-4-44-2-24-44-44-44-422-200-22-22-222-22000000000000-2200000000-22-2200000000-22-22000000000000000000000000000000000000000000000000
χ1254-4-4444-4-44-4-2-2004-400-22-222-2222-2-2-2-22-22-22-2222100-221-11-1-11-1000000000000-2200003i−3i−3i3i1-11-1−3i3i3i−3i−3i3i3i−3i1-11-13i−3i−3i3i00000000000000000000000000000000000000000000
χ1264-4-4444-4-44-4-2-2004-400-22-222-2222-2-2-2-22-22-22-2222100-221-11-1-11-1000000000000-220000−3i3i3i−3i1-11-13i−3i−3i3i3i−3i−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000000000000000
χ1274-4-4444-4-4-444-200-44002-22-2-44-422-244-22-222-22-2-4-4-200-442-22-22-22000000000000-4400000000-22-22000000002-22-2000000000000000000000000000000000000000000000000
χ1284-4-4444-4-4-44-2400-4400-44-442-22-4-44-2-24-44-4-44-4422-2002-22-22-22-220000000000002-200000000-22-22000000002-22-2000000000000000000000000000000000000000000000000
χ1294-4-4444-4-4-44-2-200-44002-22-22-2222-2-2-2-22-222-22-2221002-2-11-11-11-10000000000002-200003i−3i−3i3i1-11-1−3i3i3i−3i3i−3i−3i3i-11-11−3i3i3i−3i00000000000000000000000000000000000000000000
χ1304-4-4444-4-4-44-2-200-44002-22-22-2222-2-2-2-22-222-22-2221002-2-11-11-11-10000000000002-20000−3i3i3i−3i1-11-13i−3i−3i3i−3i3i3i−3i-11-113i−3i−3i3i00000000000000000000000000000000000000000000
χ1314-4-44-4-4444-44-200-4400-22-22-44-422-2-4-42-22-22-22-244-2004-4-22-222-22000000000000-44000000002-22-2000000002-22-2000000000000000000000000000000000000000000000000
χ1324-4-44-4-4444-4-2400-44004-44-42-22-4-4422-44-44-44-44-2-2-200-22-22-222-220000000000002-2000000002-22-2000000002-22-2000000000000000000000000000000000000000000000000
χ1334-4-44-4-4444-4-2-200-4400-22-222-2222-2222-22-22-22-2-2-2100-221-11-1-11-10000000000002-200003i−3i−3i3i-11-113i−3i−3i3i−3i3i3i−3i-11-11−3i3i3i−3i00000000000000000000000000000000000000000000
χ1344-4-44-4-4444-4-2-200-4400-22-222-2222-2222-22-22-22-2-2-2100-221-11-1-11-10000000000002-20000−3i3i3i−3i-11-11−3i3i3i−3i3i−3i−3i3i-11-113i−3i−3i3i00000000000000000000000000000000000000000000
χ1354-4-44-4-444-444-2004-4002-22-2-44-422-2-4-42-22-2-22-2244-200-442-22-22-220000000000004-4000000002-22-200000000-22-22000000000000000000000000000000000000000000000000
χ1364-4-44-4-444-44-24004-400-44-442-22-4-4422-44-444-44-4-2-2-2002-22-22-22-22000000000000-22000000002-22-200000000-22-22000000000000000000000000000000000000000000000000
χ1374-4-44-4-444-44-2-2004-4002-22-22-2222-2222-22-2-22-22-2-21002-2-11-11-11-1000000000000-2200003i−3i−3i3i-11-113i−3i−3i3i3i−3i−3i3i1-11-13i−3i−3i3i00000000000000000000000000000000000000000000
χ1384-4-44-4-444-44-2-2004-4002-22-22-2222-2222-22-2-22-22-2-21002-2-11-11-11-1000000000000-220000−3i3i3i−3i-11-11−3i3i3i−3i−3i3i3i−3i1-11-1−3i3i3i−3i00000000000000000000000000000000000000000000

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