Finite Group Databasebeta

← Group #13175962

Character table — Group #13175962

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212121224242424242424243636363636363636545454547272108108
order122233333446666666666666662333346666666666661212121212121212121266666666666661212121212121212121212121212121212121212122444121212121212121212121212121212126666121212122244661212224461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-11111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1111111-1-1
χ611111111111111111111111111-11111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-111
χ711111111111111111111111111-11111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-11111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1
χ9111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-11111-1-11-11-1
χ10111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-111-1-1-1-111-11-11
χ11111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1111-1-11
χ12111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-111-1
χ13111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1-11
χ14111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-111-1
χ15111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1111-11-1
χ16111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-11-11
χ1722222222-122-1222222222222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-10000-1-100
χ1822222222-122-1222222222222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2111100001100
χ1922222222-122-1222222222222-1-1-2-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2111111111-2-2-2-21-1-1-1-1-1-1-1-11111111100000000000000000000000000002-22-211110000-1-100
χ2022222222-122-1222222222222-1-1-2-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2111111111-2-2-2-21-1-1-1-1-1-1-1-1111111110000000000000000000000000000-22-22-1-1-1-100001100
χ2122222222-1-2-2-1222222222222-1-12-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111100000000000000000000000000002-2-2211-1-10000-1100
χ2222222222-1-2-2-1222222222222-1-12-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111110000000000000000000000000000-222-2-1-11100001-100
χ2322222222-1-2-2-1222222222222-1-1-2-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-21111111112222-111111111-1-1-1-1-1-1-1-1000000000000000000000000000022-2-2-1-1110000-1100
χ2422222222-1-2-2-1222222222222-1-1-2-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-21111111112222-111111111-1-1-1-1-1-1-1-10000000000000000000000000000-2-22211-1-100001-100
χ2522222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000000
χ2622222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2111-21110000000000000000
χ2722222-1-1-122222-1-1-12-1-1-12-1-1-122-22-1-1-1-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2111-2-2-2111111-2111-222-1-1-1-1-1-1-2-211111122-2-2-2-2111111-2-21111112-1-1-12-1-1-10000000000000000
χ2822222-1-1-122222-1-1-12-1-1-12-1-1-122-22-1-1-1-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2111-2-2-2111111-2111-222-1-1-1-1-1-1-2-2111111-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000000
χ2922222-1-1-12-2-222-1-1-12-1-1-12-1-1-12222-1-1-1-22-1-1-122-1-1-1-1-1-1-2-2111111-2-22-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111-2-21111112-22-2-2-211111122-1-1-1-1-1-12-1-1-1-21110000000000000000
χ3022222-1-1-12-2-222-1-1-12-1-1-12-1-1-12222-1-1-1-22-1-1-122-1-1-1-1-1-1-2-2111111-2-22-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111-2-2111111-22-2222-1-1-1-1-1-1-2-2111111-21112-1-1-10000000000000000
χ3122222-1-1-12-2-222-1-1-12-1-1-12-1-1-122-22-1-1-122-1-1-122-1-1-1-1-1-1-2-2111111-2-2-2111-2-2-21111112-1-1-12-2-211111122-1-1-1-1-1-12-2-2222-1-1-1-1-1-1-2-21111112-1-1-1-21110000000000000000
χ3222222-1-1-12-2-222-1-1-12-1-1-12-1-1-122-22-1-1-122-1-1-122-1-1-1-1-1-1-2-2111111-2-2-2111-2-2-21111112-1-1-12-2-211111122-1-1-1-1-1-1-222-2-2-211111122-1-1-1-1-1-1-21112-1-1-10000000000000000
χ332222-12-1-12222-12-1-1-12-1-1-12-1-1222-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000000
χ342222-12-1-12222-12-1-1-12-1-1-12-1-1222-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-211111-2111-2110000000000000000
χ352222-12-1-12222-12-1-1-12-1-1-12-1-122-2-12-1-1-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1221-211-211-2-211111-211-2-1-122-1-1-1-111-2-2111122-2-211-2-2111111-2-21111-12-1-1-12-1-10000000000000000
χ362222-12-1-12222-12-1-1-12-1-1-12-1-122-2-12-1-1-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1221-211-211-2-211111-211-2-1-122-1-1-1-111-2-21111-2-222-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000000
χ372222-12-1-12-2-22-12-1-1-12-1-1-12-1-1222-12-1-1-2-12-1-1-1-122-1-1-1-111-2-21111-2-2-12-1-12-1-122-1-1-1-11-211-211-2-2111111-2-211112-22-211-2-21111-1-122-1-1-1-1-12-1-11-2110000000000000000
χ382222-12-1-12-2-22-12-1-1-12-1-1-12-1-1222-12-1-1-2-12-1-1-1-122-1-1-1-111-2-21111-2-2-12-1-12-1-122-1-1-1-11-211-211-2-2111111-2-21111-22-22-1-122-1-1-1-111-2-211111-211-12-1-10000000000000000
χ392222-12-1-12-2-22-12-1-1-12-1-1-12-1-122-2-12-1-12-12-1-1-1-122-1-1-1-111-2-21111-2-21-211-211-2-21111-12-1-1211-2-21111-1-122-1-1-1-12-2-22-1-122-1-1-1-111-2-21111-12-1-11-2110000000000000000
χ402222-12-1-12-2-22-12-1-1-12-1-1-12-1-122-2-12-1-12-12-1-1-1-122-1-1-1-111-2-21111-2-21-211-211-2-21111-12-1-1211-2-21111-1-122-1-1-1-1-222-211-2-21111-1-122-1-1-1-11-211-12-1-10000000000000000
χ412222-1-12-12222-1-12-1-1-12-1-1-12-1222-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000000
χ422222-1-12-12222-1-12-1-1-12-1-1-12-1222-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-21111-2111-210000000000000000
χ432222-1-12-12222-1-12-1-1-12-1-1-12-122-2-1-12-1-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12211-21-21111-2-21111-21-2-1-1-1-122-1-11111-2-21122-2-21111-2-2111111-2-211-1-12-1-1-12-10000000000000000
χ442222-1-12-12222-1-12-1-1-12-1-1-12-122-2-1-12-1-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12211-21-21111-2-21111-21-2-1-1-1-122-1-11111-2-211-2-222-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000000
χ452222-1-12-12-2-22-1-12-1-1-12-1-1-12-1222-1-12-1-2-1-12-1-1-1-1-122-1-11111-2-211-2-2-1-12-12-1-1-1-122-1-111-21-21111-2-2111111-2-2112-22-21111-2-211-1-1-1-122-1-1-1-12-111-210000000000000000
χ462222-1-12-12-2-22-1-12-1-1-12-1-1-12-1222-1-12-1-2-1-12-1-1-1-1-122-1-11111-2-211-2-2-1-12-12-1-1-1-122-1-111-21-21111-2-2111111-2-211-22-22-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000000
χ472222-1-12-12-2-22-1-12-1-1-12-1-1-12-122-2-1-12-12-1-12-1-1-1-1-122-1-11111-2-211-2-211-21-21111-2-211-1-12-121111-2-211-1-1-1-122-1-12-2-22-1-1-1-122-1-11111-2-211-1-12-111-210000000000000000
χ482222-1-12-12-2-22-1-12-1-1-12-1-1-12-122-2-1-12-12-1-12-1-1-1-1-122-1-11111-2-211-2-211-21-21111-2-211-1-12-121111-2-211-1-1-1-122-1-1-222-21111-2-211-1-1-1-122-1-111-21-1-12-10000000000000000
χ492222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000000
χ502222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111-2111-20000000000000000
χ512222-1-1-122222-1-1-12-1-1-12-1-1-1222-2-1-1-12-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222111-2-2111111-2-2111-2-2-1-1-1-1-1-122111111-2-222-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000000
χ522222-1-1-122222-1-1-12-1-1-12-1-1-1222-2-1-1-12-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222111-2-2111111-2-2111-2-2-1-1-1-1-1-122111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000000
χ532222-1-1-122-2-22-1-1-12-1-1-12-1-1-12222-1-1-12-2-1-1-12-1-1-1-1-1-122111111-2-2-2-2-1-1-122-1-1-1-1-1-122111-2-2111111-2-2111111-2-22-22-2111111-2-2-1-1-1-1-1-122-1-1-12111-20000000000000000
χ542222-1-1-122-2-22-1-1-12-1-1-12-1-1-12222-1-1-12-2-1-1-12-1-1-1-1-1-122111111-2-2-2-2-1-1-122-1-1-1-1-1-122111-2-2111111-2-2111111-2-2-22-22-1-1-1-1-1-122111111-2-2111-2-1-1-120000000000000000
χ552222-1-1-122-2-22-1-1-12-1-1-12-1-1-1222-2-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2-2-2111-2-2111111-2-2-1-1-122111111-2-2-1-1-1-1-1-1222-2-22-1-1-1-1-1-122111111-2-2-1-1-12111-20000000000000000
χ562222-1-1-122-2-22-1-1-12-1-1-12-1-1-1222-2-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2-2-2111-2-2111111-2-2-1-1-122111111-2-2-1-1-1-1-1-122-222-2111111-2-2-1-1-1-1-1-122111-2-1-1-120000000000000000
χ572-22-2222222i−2i2-2-2-2-22222-2-2-2-2-2-20222202222-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000002-22i−2i0000
χ582-22-2222222i−2i2-2-2-2-22222-2-2-2-2-2-20222202222-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000-22−2i2i0000
χ592-22-222222−2i2i2-2-2-2-22222-2-2-2-2-2-20222202222-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000002-2−2i2i0000
χ602-22-222222−2i2i2-2-2-2-22222-2-2-2-2-2-20222202222-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000-222i−2i0000
χ6144444-2-2-2-244-24-2-2-24-2-2-24-2-2-2-2-24-21114-2111-2-211111144-2-2-2-2-2-2-2-24-2-2-2-2-2-21111114-2-2-2-2-2-2111111-2-211111100000000000000000000000000000000000000000000
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χ954-44-44-2-2-2-2−4i4i-2-42224-2-2-2-4222220-21110-211122-1-1-1-1-1-1−4i4i2i−2i2i−2i2i−2i2i−2i0000000-33-33-33000002i−2i−ii−ii−ii003i−3i3i−3i3i−3i00000000000000000000000000000000000000000000
χ964-44-4-24-2-244i−4i42-422-24-2-22-422-4-40-24-2-20-24-2-222-4-42222−2i2i4i−4i−2i2i−2i2i4i−4i000000000000000000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
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χ1054-44-4-2-24-2-24i−4i-222-42-2-24-222-4222011-21011-21-1-1-1-122-1-1−2i2i−2i2i4i−4i−2i2i−2i2i00000-333-300-3300000i−ii−i−2i2ii−i−3i3i3i−3i00−3i3i00000000000000000000000000000000000000000000
χ1064-44-4-2-24-2-2−4i4i-222-42-2-24-222-4222011-21011-21-1-1-1-122-1-12i−2i2i−2i−4i4i2i−2i2i−2i000003-3-33003-300000−ii−ii2i−2i−ii−3i3i3i−3i00−3i3i00000000000000000000000000000000000000000000
χ1074-44-4-2-24-2-2−4i4i-222-42-2-24-222-4222011-21011-21-1-1-1-122-1-12i−2i2i−2i−4i4i2i−2i2i−2i00000-333-300-3300000−ii−ii2i−2i−ii3i−3i−3i3i003i−3i00000000000000000000000000000000000000000000
χ1084-44-4-2-2-2444i−4i4222-4-2-2-24222-4-4-40-2-2-240-2-2-24222222-4-4−2i2i−2i2i−2i2i4i−4i4i−4i000000000000000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000000000000000000000
χ1094-44-4-2-2-244−4i4i4222-4-2-2-24222-4-4-40-2-2-240-2-2-24222222-4-42i−2i2i−2i2i−2i−4i4i−4i4i0000000000000000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000000000000000000000
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χ1114-44-4-2-2-24-24i−4i-2222-4-2-2-24222-4220111-20111-2-1-1-1-1-1-122−2i2i−2i2i−2i2i4i−4i−2i2i00000-33-333-30000000i−ii−ii−i−2i2i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
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χ1134-44-4-2-2-24-2−4i4i-2222-4-2-2-24222-4220111-20111-2-1-1-1-1-1-1222i−2i2i−2i2i−2i−4i4i2i−2i00000-33-333-30000000−ii−ii−ii2i−2i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1144-4-444444400-44444-4-4-4-4-4-4-4-4-44044440-4-4-4-4-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-444444-20024444-4-4-4-4-4-4-4-42-20-2-2-2-2022222-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000−2i32i300000000
χ1164-4-444444-20024444-4-4-4-4-4-4-4-42-20-2-2-2-2022222-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
χ1174-4-444-2-2-2400-44-2-2-2-4222-4222-4404-2-2-20-4222-442-22-22-20000000000000000000000000000000000000000000000000023−2323−2323−2300000000000000000000000000000000
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χ1328-8-88-4-4-48-4004-4-4-48444-8444-84-40222-40-2-2-24-22-22-224-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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