Finite Group Databasebeta

← Group #10967673

Character table — Group #10967673

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111111111112222222222222222222222222222222244444444444444444444444444448888888888888888888888881212121212121212121212121212121212121212121212121212121212121212
order12222222444444443444444444444444466666661212121212121212224466661212121212121212121212121212121212121212444444441212121212121212121212121212121222222222444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111
χ71111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ1011111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111
χ1111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111
χ1211111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ1411111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ1811111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-111
χ1911111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ2011111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-1
χ2111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-11-1111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ2211111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1111111-1-1
χ2311111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ2411111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-111
χ2511111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111
χ2611111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ2711111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ2811111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ2911111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1
χ3011111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111
χ3111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111
χ3211111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-1-111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1
χ332222222222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ342222222222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ352222222222222222-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ362222222222222222-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ372222222222222222-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ382222222222222222-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-11111111111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-11111111111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111111112-22-22-22-2-1-111-1-111-1-111-1-11100000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-22-22-22-2211-1-111-1-111-1-111-1-100000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-12-22-2-22-22-1-111-1-11111-1-111-1-100000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-1-22-222-22-211-1-111-1-1-1-111-1-11100000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2-1-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-111111111-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-12-2-222-2-22-1-11111-1-1-1-11111-1-100000000000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2-1-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-111111111-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-1-222-2-222-211-1-1-1-11111-1-1-1-11100000000000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111112-2-22-222-2-1-11111-1-111-1-1-1-11100000000000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-222-22-2-2211-1-1-1-111-1-11111-1-100000000000000000000000000000000
χ4922-22-22-2-22i2i2i2i−2i−2i−2i−2i2000000002i2i−2i−2i22-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i00000000000000002i2i−2i−2i22-2-2000000000000000000000000000000002-22-20000000000002i−2i00002i−2i0000
χ5022-22-22-2-22i2i2i2i−2i−2i−2i−2i2000000002i2i−2i−2i22-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i00000000000000002i2i−2i−2i22-2-200000000000000000000000000000000-22-22000000000000−2i2i0000−2i2i0000
χ5122-22-22-2-22i2i2i2i−2i−2i−2i−2i200000000−2i−2i2i2i-2-2222-22-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i-2-222000000000000000000000000000000002-2-220000000000002i−2i0000−2i2i0000
χ5222-22-22-2-22i2i2i2i−2i−2i−2i−2i200000000−2i−2i2i2i-2-2222-22-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i-2-22200000000000000000000000000000000-222-2000000000000−2i2i00002i−2i0000
χ5322-22-22-2-2−2i−2i−2i−2i2i2i2i2i2000000002i2i−2i−2i-2-2222-22-2-22-2−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i-2-222000000000000000000000000000000002-2-22000000000000−2i2i00002i−2i0000
χ5422-22-22-2-2−2i−2i−2i−2i2i2i2i2i2000000002i2i−2i−2i-2-2222-22-2-22-2−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i-2-22200000000000000000000000000000000-222-20000000000002i−2i0000−2i2i0000
χ5522-22-22-2-2−2i−2i−2i−2i2i2i2i2i200000000−2i−2i2i2i22-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000−2i−2i2i2i22-2-2000000000000000000000000000000002-22-2000000000000−2i2i0000−2i2i0000
χ5622-22-22-2-2−2i−2i−2i−2i2i2i2i2i200000000−2i−2i2i2i22-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000−2i−2i2i2i22-2-200000000000000000000000000000000-22-220000000000002i−2i00002i−2i0000
χ5722-2-22-22-22i2i−2i−2i2i2i−2i−2i222-2-22i2i−2i−2i000000002-2-22-2-222i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i0000000000000000000000000000000000000000000000002-22i−2i2-22i−2i000000000000
χ5822-2-22-22-22i2i−2i−2i2i2i−2i−2i222-2-22i2i−2i−2i000000002-2-22-2-222i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000-22−2i2i-22−2i2i000000000000
χ5922-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2-222−2i−2i2i2i000000002-2-22-2-222i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i0000000000000000000000000000000000000000000000002-22i−2i-22−2i2i000000000000
χ6022-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2-222−2i−2i2i2i000000002-2-22-2-222i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000-22−2i2i2-22i−2i000000000000
χ6122-2-22-22-2−2i−2i2i2i−2i−2i2i2i222-2-2−2i−2i2i2i000000002-2-22-2-22−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000002-2−2i2i2-2−2i2i000000000000
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χ932-2-2-2-2222-222-2-222-222-2-22-222-22-2-22-222-2-2-2222-2-2-222-2-222-22-2-2222-2-22-2-22-222-22-2-22-222-2-2-22200000000000000000000000000000000000000000000000000000000
χ942-2-2-2-2222-222-2-222-222-2-22-222-2-222-22-2-22-2-2222-2-2-222-2-222-2-222-2-2-2222-2-22-222-2-222-22-2-2222-2-200000000000000000000000000000000000000000000000000000000
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χ962-2-2-2-2222-222-2-222-22-222-22-2-22-222-22-2-22-2-2222-2-2-222-2-222-22-2-2222-2-2-222-22-2-22-222-22-2-22-2-22200000000000000000000000000000000000000000000000000000000
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χ1002-2-2-2-2222-222-2-222-2-12-2-22-222-2-222-22-2-2211-1-1-1111-1-111-1-11-222-211-1-1-111-11-1-111-1-11-111-1-1-11100000000−333−3−333−33−3−333−3−3300000000000000000000000000000000
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χ110444-4-4-4-44-4-44444-4-4-20000000000000000-2-222-22222-2-2-2-22200002i3−2i32i3−2i30000000000000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ11144-44-44-4-44i4i4i4i−4i−4i−4i−4i-2000000004i4i−4i−4i44-4-4-22-222-22−2i−2i−2i−2i2i2i2i2i0000000000000000−2i−2i2i2i-2-222000000000000000000000000000000000000000000000000000000000000
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χ1204-444-4-44-44i−4i4i−4i4i−4i4i−4i-2-44-44−4i4i−4i4i000000002-22-22-22−2i2i−2i2i−2i2i−2i2i000000002-22-22i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1214-444-4-44-4−4i4i−4i4i−4i4i−4i4i-24-44-4−4i4i−4i4i000000002-22-22-222i−2i2i−2i2i−2i2i−2i00000000-22-222i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1224-444-4-44-4−4i4i−4i4i−4i4i−4i4i-2-44-444i−4i4i−4i000000002-22-22-222i−2i2i−2i2i−2i2i−2i000000002-22-2−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
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χ1254-44-444-4-4−4i4i4i−4i4i−4i−4i4i-2000000004i−4i4i−4i-44-442-2-2222-22i−2i−2i2i−2i2i2i−2i0000000000000000−2i2i−2i2i2-22-2000000000000000000000000000000000000000000000000000000000000
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χ1274-4-444-4-444-44-4-44-4440000000000000000-4-4-4-44444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1294-4-444-4-444-44-4-44-44-200000000000000002222-2-2-2-22-222-22-200002i3−2i3−2i32i300000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
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χ1324-4-444-4-44-44-444-44-4-200000000000000002222-2-2-22-22-2-22-2200002i3−2i3−2i32i30000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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