Finite Group Databasebeta

← Group #10732589

Character table — Group #10732589

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order1222222222222222344444444666666666666666121212121212121212121212121212124444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222222222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222-22-2-2-2-2-2-222-222222-2-2-2-2222222-2-22-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ2622222-22-2-2-2-2-2-222-222222-2-2-2-2222222-2-22-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ2722222-22-2-2-2-2-2-222-22-2-2-2-22222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ2822222-22-2-2-2-2-2-222-22-2-2-2-22222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ29222-2-22222-2-2-2-2-2-22222-2-222-2-222-2-2-2-222222-2-2-2-22222-2-2-2-22222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ30222-2-22222-2-2-2-2-2-22222-2-222-2-222-2-2-2-222222-2-2-2-22222-2-2-2-22222-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ31222-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ32222-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ33222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111000000002i2i−2i−2i2i2i−2i−2i00000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i−i−i−iiiii−i−i−i−iiiii3333−3−3−3−33333−3−3−3−30000000000000000
χ34222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111000000002i2i−2i−2i2i2i−2i−2i00000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i−i−i−iiiii−i−i−i−iiiii−3−3−3−33333−3−3−3−333330000000000000000
χ35222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−2i−2i2i2i−2i−2i2i2i00000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3iiii−i−i−i−iiiii−i−i−i−i−3−3−3−33333−3−3−3−333330000000000000000
χ36222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−2i−2i2i2i−2i−2i2i2i00000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3iiii−i−i−i−iiiii−i−i−i−i3333−3−3−3−33333−3−3−3−30000000000000000
χ37222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i00000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i−i−i−iiiiiiiii−i−i−i−i3333−3−3−3−3−3−3−3−333330000000000000000
χ38222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i00000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i−i−i−iiiiiiiii−i−i−i−i−3−3−3−333333333−3−3−3−30000000000000000
χ39222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i00000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3iiii−i−i−i−i−i−i−i−iiiii−3−3−3−333333333−3−3−3−30000000000000000
χ40222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i00000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3iiii−i−i−i−i−i−i−i−iiiii3333−3−3−3−3−3−3−3−333330000000000000000
χ41222-2-2-22-2-22222-2-2-2222-2-2-2-22222-2-2-2-2-2-22-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ42222-2-2-22-2-22222-2-2-2222-2-2-2-22222-2-2-2-2-2-22-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ43222-2-2-22-2-22222-2-2-22-2-22222-2-222-2-2-2-2-2-22-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ44222-2-2-22-2-22222-2-2-22-2-22222-2-222-2-2-2-2-2-22-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ4522-22-22-22-222-2-22-2-22000000002-222-2-22-2-22-222-2-2000000000000000000002i2i−2i−2i00002-22-22i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4622-22-22-22-222-2-22-2-22000000002-222-2-22-2-22-222-2-2000000000000000000002i2i−2i−2i0000-22-22−2i−2i2i2i0000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4722-22-22-22-222-2-22-2-22000000002-222-2-22-2-22-222-2-200000000000000000000−2i−2i2i2i00002-22-2−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4822-22-22-22-222-2-22-2-22000000002-222-2-22-2-22-222-2-200000000000000000000−2i−2i2i2i0000-22-222i2i−2i−2i000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4922-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-11133−3−333−3−333−3−333−3−300002i2i−2i−2i00002-22-22i2i−2i−2i0000−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii33−3−333−3−3-1-111-1-111−i−iii−i−iii−i3−i3i3i3−i3−i3i3i30000000000000000
χ5022-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-11133−3−333−3−333−3−333−3−300002i2i−2i−2i0000-22-22−2i−2i2i2i0000−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii−3−333−3−33311-1-111-1-1ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i30000000000000000
χ5122-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-11133−3−333−3−333−3−333−3−30000−2i−2i2i2i00002-22-2−2i−2i2i2i0000i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i33−3−333−3−3-1-111-1-111ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i30000000000000000
χ5222-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-11133−3−333−3−333−3−333−3−30000−2i−2i2i2i0000-22-222i2i−2i−2i0000i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i−3−333−3−33311-1-111-1-1−i−iii−i−iii−i3−i3i3i3−i3−i3i3i30000000000000000
χ5322-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-111−3−333−3−333−3−333−3−33300002i2i−2i−2i00002-22-22i2i−2i−2i0000i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii−3−333−3−333-1-111-1-111−i−iii−i−iiii3i3−i3−i3i3i3−i3−i30000000000000000
χ5422-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-111−3−333−3−333−3−333−3−33300002i2i−2i−2i0000-22-22−2i−2i2i2i0000i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii33−3−333−3−311-1-111-1-1ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i30000000000000000
χ5522-22-22-22-222-2-22-2-2-100000000-11-1-111-111-11-1-111−3−333−3−333−3−333−3−3330000−2i−2i2i2i00002-22-2−2i−2i2i2i0000−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i−3−333−3−333-1-111-1-111ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i30000000000000000
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χ1172-2-2-2-222-2-2-222-2222-1-222-2-222-2111-1-11-1-1-1111-1-111-1-11-111-11-1-11-111-100000000000000002-2-22-222-23−3−33−333−33−3−33−333−3−333−33−3−333−3−33−333−31-1-11-111-11-1-11-111-10000000000000000
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χ1202-2-2-2-222-2-2-222-2222-1-222-2-222-2111-1-11-1-1-1111-1-111-1-11-111-11-1-11-111-10000000000000000-222-22-2-22−333−33−3−33−333−33−3−33−333−33−3−333−3−33−333−3-111-11-1-11-111-11-1-110000000000000000
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χ1222-2-2-2-2-22222-2-2222-222-2-22-222-2-2-2-222-2-2-22222-2-222-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000-22-22000000000000
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χ1242-2-2-2-2-22222-2-2222-22-222-22-2-22-2-2-222-2-2-22222-2-22-222-22-2-222-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000000000
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χ12644444-44-4-4-4-4-4-444-4-2-4-4-4-44444-2-2-2-2-2-222-222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ127444-4-4-44-4-44444-4-4-4-244-4-4-4-444-2-2222222-222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ128444-4-4-44-4-44444-4-4-4-2-4-44444-4-4-2-2222222-222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12944-44-4-4-4-44-4-4444-444000000004-444-4-4-44-4-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13044-44-4-4-4-44-4-4444-44-200000000-22-2-2222-222-222-2-22323−23−232323−23−23−23−232323−23−2323230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13144-44-4-4-4-44-4-4444-44-200000000-22-2-2222-222-222-2-2−23−232323−23−2323232323−23−232323−23−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13244-4-44-4-4-4444-4-4-4444000000004-4-4-444-44-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13444-4-44-4-4-4444-4-4-444-200000000-2222-2-22-222-2-2-222−23−2323232323−23−232323−23−23−23−2323230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-444-4-4-44-4-44-44-444400000000-444-44-4-44-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1384-44-44-4-44-44-44-44-44400000000-44-44-44-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1404-44-44-4-44-44-44-44-44-2000000002-22-22-22-22-22-22-22−2323−232323−2323−2323−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1434-4-4-4-4-44444-4-4444-4-24-4-44-444-4222-2-2222-2-2-2-222-2-222-22-2-222-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-4-4-4-44444-4-4444-4-2-444-44-4-44222-2-2222-2-2-2-222-22-2-22-222-2-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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