Finite Group Databasebeta

← Group #13176595

Character table — Group #13176595

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1111222222222222222222222244444444444444444444444444446688888888888888888888888888888888881212121212121212121212121212121212121218182424242424242424363636363636365454545454547272108
order12223333344666666666666666333344666666666666121212121212121212122212121212121212121212121212121212121212121212121212121212121212121212444666666661212121212121212441212121212121212244121212122244446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111111111111-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-11
χ6111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-1
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111111-1-111-1-1-1
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-1111
χ9111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-11111-11-1
χ10111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-11
χ11111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-111
χ12111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-111-1-111111-1-1
χ13111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111-1-11-1-1
χ14111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-111
χ15111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-111-1-1-1-1-1-1111-11
χ16111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-111-1-1111111-1-1-11-1
χ1722222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002200000000222-1-1-1-1000000-1-10
χ1822222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200000000-2-2-21111000000110
χ1922222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222001-2-2-2-2-2-2-2-2111111111-1-1-1-1-1-1-1-11111111100000000000000000002200000000-22-2-1-1-1-1000000110
χ2022222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222001-2-2-2-2-2-2-2-2111111111-1-1-1-1-1-1-1-1111111110000000000000000000-2-2000000002-221111000000-1-10
χ2122222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-20012222-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111111100000000000000000002200000000-2-22-1-1110000001-10
χ2222222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-20012222-2-2-2-2-1-1-1-1-1-1-1-1-111111111111111110000000000000000000-2-20000000022-211-1-1000000-110
χ2322222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200-1-2-2-2-2222211111111111111111-1-1-1-1-1-1-1-1000000000000000000022000000002-2-2-1-111000000-110
χ2422222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200-1-2-2-2-2222211111111111111111-1-1-1-1-1-1-1-10000000000000000000-2-200000000-22211-1-10000001-10
χ2522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-12222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1002-1-1-12-1-1-10000000000000000
χ2622222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-2-222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111111-2-211111100-2111-21110000000000000000
χ2722222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-2-2111-2111-2-2-211111122-1-1-1-1-1-1-2-2111111-22-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-21110000000000000000
χ2822222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-2111-2111-2-2-211111122-1-1-1-1-1-1-2-21111112-22-2-2111111-2-2111111002-1-1-12-1-1-10000000000000000
χ2922222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2-2-211111122-22-1-1-1-2111222-1-1-1-1-1-1-2-2111111-2-2111111-2-2222-1-1-1-1-1-1-2-211111100-21112-1-1-10000000000000000
χ3022222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2-22-1-1-1-2111222-1-1-1-1-1-1-2-2111111-2-211111122-2-2-211111122-1-1-1-1-1-1002-1-1-1-21110000000000000000
χ3122222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2-2-2111111222-21112-1-1-1-2-2-2111111-2-211111122-1-1-1-1-1-12-2-222-1-1-1-1-1-1-2-2111111002-1-1-1-21110000000000000000
χ3222222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-22-21112-1-1-1-2-2-2111111-2-211111122-1-1-1-1-1-1-222-2-211111122-1-1-1-1-1-100-21112-1-1-10000000000000000
χ332222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1222-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-100-12-1-1-12-1-10000000000000000
χ342222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-2-22-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-211-2-2111111-2-21111001-2111-2110000000000000000
χ352222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-122-1-122-1-1-1-122-21-2111-211-211-2-21111-1-122-1-1-1-111-2-21111-22-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-2110000000000000000
χ362222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-2-2-21-2111-211-211-2-21111-1-122-1-1-1-111-2-211112-2211-2-2111111-2-2111100-12-1-1-12-1-10000000000000000
χ372222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-1-2-211-2-2111122-2-12-1-11-2112-1-122-1-1-1-111-2-2111111-2-21111-2-22-1-122-1-1-1-111-2-21111001-211-12-1-10000000000000000
χ382222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-1-2-211-2-21111-2-2-2-12-1-11-2112-1-122-1-1-1-111-2-2111111-2-2111122-211-2-21111-1-122-1-1-1-100-12-1-11-2110000000000000000
χ392222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-1-2-211-2-211112221-211-12-1-1-211-2-2111111-2-21111-1-122-1-1-1-12-2-2-1-122-1-1-1-111-2-2111100-12-1-11-2110000000000000000
χ402222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-1-2-211-2-21111-2-221-211-12-1-1-211-2-2111111-2-21111-1-122-1-1-1-1-22211-2-21111-1-122-1-1-1-1001-211-12-1-10000000000000000
χ412222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1222-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-100-1-12-1-1-12-10000000000000000
χ422222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-2-22-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-21111-2-2111111-2-2110011-2111-210000000000000000
χ432222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-122-1-1-1-122-1-122-211-2111-21-21111-2-211-1-1-1-122-1-11111-2-211-22-2-1-1-1-122-1-1-1-1-1-122-1-10011-2111-210000000000000000
χ442222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-2-2-211-2111-21-21111-2-211-1-1-1-122-1-11111-2-2112-221111-2-2111111-2-21100-1-12-1-1-12-10000000000000000
χ452222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-1-2-21111-2-21122-2-1-12-111-212-1-1-1-122-1-11111-2-2111111-2-211-2-22-1-1-1-122-1-11111-2-2110011-21-1-12-10000000000000000
χ462222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-1-2-21111-2-211-2-2-2-1-12-111-212-1-1-1-122-1-11111-2-2111111-2-21122-21111-2-211-1-1-1-122-1-100-1-12-111-210000000000000000
χ472222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-1-22-1-12-1-1-12-1-1-12-1-2-21111-2-21122211-21-1-12-1-21111-2-2111111-2-211-1-1-1-122-1-12-2-2-1-1-1-122-1-11111-2-21100-1-12-111-210000000000000000
χ482222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-1-22-1-12-1-1-12-1-1-12-1-2-21111-2-211-2-2211-21-1-12-1-21111-2-2111111-2-211-1-1-1-122-1-1-2221111-2-211-1-1-1-122-1-10011-21-1-12-10000000000000000
χ492222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12200-1-1-12-1-1-120000000000000000
χ502222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2111111-2-200111-2111-20000000000000000
χ512222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12222-2111-2111-2-2111111-2-2-1-1-1-1-1-122111111-2-2-22-2-1-1-1-1-1-122-1-1-1-1-1-12200111-2111-20000000000000000
χ522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-2-2-2111-2111-2-2111111-2-2-1-1-1-1-1-122111111-2-22-22111111-2-2111111-2-200-1-1-12-1-1-120000000000000000
χ532222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12-2-2111111-2-222-2-1-1-12111-22-1-1-1-1-1-122111111-2-2111111-2-2-2-22-1-1-1-1-1-122111111-2-200111-2-1-1-120000000000000000
χ542222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12-2-2111111-2-2-2-2-2-1-1-12111-22-1-1-1-1-1-122111111-2-2111111-2-222-2111111-2-2-1-1-1-1-1-12200-1-1-12111-20000000000000000
χ552222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12-2-2111111-2-2222111-2-1-1-12-2111111-2-2111111-2-2-1-1-1-1-1-1222-2-2-1-1-1-1-1-122111111-2-200-1-1-12111-20000000000000000
χ562222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12-2-2111111-2-2-2-22111-2-1-1-12-2111111-2-2111111-2-2-1-1-1-1-1-122-222111111-2-2-1-1-1-1-1-12200111-2-1-1-120000000000000000
χ5722-2-2222222i−2i-2-2-2-2-22222-2-2-2-22-2222200-2-2-2-22222-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000002-2002i−2i000
χ5822-2-2222222i−2i-2-2-2-2-22222-2-2-2-22-2222200-2-2-2-22222-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000-2200−2i2i000
χ5922-2-222222−2i2i-2-2-2-2-22222-2-2-2-22-2222200-2-2-2-22222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000002-200−2i2i000
χ6022-2-222222−2i2i-2-2-2-2-22222-2-2-2-22-2222200-2-2-2-22222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000-22002i−2i000
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χ9544-4-4-2-24-244i−4i22-42-4-2-24-222-424-4-2-24-20022-42-2-24-222-424i−4i−2i2i−2i2i4i−4i−2i2i00000000000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000000000000000000000000
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χ10444-4-4-2-2-24-24i−4i222-42-2-2-24222-4-22111-200-1-1-12111-2-1-1-12−2i2i−2i2i−2i2i−2i2i4i−4i000000000000-33-333-300i−ii−ii−i−2i2i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000000
χ10544-4-4-2-2-24-2−4i4i222-42-2-2-24222-4-22111-200-1-1-12111-2-1-1-122i−2i2i−2i2i−2i2i−2i−4i4i0000000000003-33-3-3300−ii−ii−ii2i−2i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000000
χ10644-4-4-2-2-24-2−4i4i222-42-2-2-24222-4-22111-200-1-1-12111-2-1-1-122i−2i2i−2i2i−2i2i−2i−4i4i000000000000-33-333-300−ii−ii−ii2i−2i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000000
χ1074-44-44444400-4-4-4-44-4-4-4-44444-4-4444400-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-44-44444-200-4-4-4-4-2-4-4-4-4444422-2-2-2-20022222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000023−23000000000
χ1094-44-44444-200-4-4-4-4-2-4-4-4-4444422-2-2-2-20022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000−2323000000000
χ1104-44-44-2-2-2400-42224-42224-2-2-2-4-44-2-2-200-4222-42224-2-2-200000000000000000000000000000000000000000000000000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000
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χ1184-4-444444-20044442-4-4-4-4-4-4-4-42-2-2-2-2-200-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000−2i2i00000000000
χ1194-4-444444-20044442-4-4-4-4-4-4-4-42-2-2-2-2-200-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000−4i4i000000000002i−2i00000000000
χ1204-4-444-2-2-24004-2-2-2-4-4222-4222-444-2-2-2004-2-2-2-4222-422200000000004-400000000000000000000000000000000000004-4-22-22-220000000000000000000000000000000000
χ1214-4-444-2-2-24004-2-2-2-4-4222-4222-444-2-2-2004-2-2-2-4222-42220000000000-440000000000000000000000000000000000000-442-22-22-20000000000000000000000000000000000
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χ1254-4-44-2-24-2400-2-24-2-422-4222-42-44-2-24-200-2-24-222-4222-420000000000-4400000000000000000000000000000000000002-22-2-442-20000000000000000000000000000000000
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χ1288-88-88-4-4-4-400-8444-4-84448-4-4-444-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-48-4-4-4004-844-44-844-48-4-4442-42200-24-2-2-24-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-88-4-4-48-400-4-4-484444-8444-84-4222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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