Finite Group Databasebeta

← Group #13159345

Character table — Group #13159345

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212121224242424242424243636363636363636545454547272108108
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244882424242424242424242424242424242412121212121212124488242424242244121244
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
χ5111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91-11-111111-11-111111-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-111111iiii−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−i1-111-1-11-11-1i−ii−i
χ101-11-111111-11-111111-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-111111iiii−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−ii-11-1-111-11-11−ii−ii
χ111-11-111111-11-111111-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-111111iiii−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiiii−i1-111-1-1-11-11i−i−ii
χ121-11-111111-11-111111-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-111111iiii−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−ii-11-1-1111-11-1−iii−i
χ131-11-111111-11-111111-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−ii−i-11-1-1111-11-1i−i−ii
χ141-11-111111-11-111111-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−ii1-111-1-1-11-11−iii−i
χ151-11-111111-11-111111-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiii−i-11-1-111-11-11i−ii−i
χ161-11-111111-11-111111-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii1-111-1-11-11-1−ii−ii
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022-2-20000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-2220000
χ1922222222-122-12222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-10000-1-100
χ2022222222-122-12222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2111100001100
χ2122222222-122-12222-122222222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000022-2-211110000-1-100
χ2222222222-122-12222-122222222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000-2-222-1-1-1-100001100
χ2322222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000000
χ2422222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2111-21110000000000000000
χ2522222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2111-2111-2-22-1-1-12-1-1-1-2-2111111-2-211111122-2-2-2-2111111-2-21111112-1-1-12-1-1-10000000000000000
χ2622222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2111-2111-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000000
χ272222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000000
χ282222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-211111-2111-2110000000000000000
χ292222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-121-2111-211-2-2-12-1-1-12-1-111-2-2111111-2-2111122-2-211-2-2111111-2-21111-12-1-1-12-1-10000000000000000
χ302222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-121-2111-211-2-2-12-1-1-12-1-111-2-2111111-2-21111-2-222-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000000
χ312222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000000
χ322222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-21111-2111-210000000000000000
χ332222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1211-2111-21-2-2-1-12-1-1-12-11111-2-2111111-2-21122-2-21111-2-2111111-2-211-1-12-1-1-12-10000000000000000
χ342222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1211-2111-21-2-2-1-12-1-1-12-11111-2-2111111-2-211-2-222-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000000
χ352222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000000
χ362222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111-2111-20000000000000000
χ372222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122111-2111-2-2-2-1-1-12-1-1-12111111-2-2111111-2-222-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000000
χ382222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122111-2111-2-2-2-1-1-12-1-1-12111111-2-2111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000000
χ392-22-2222222-2-222222-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-222222-2-2-2-2-20000000000-2-2-2-2222200000000000000000000000000000000000000000000000000002-2-220000
χ402-22-2222222-2-222222-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-222222-2-2-2-2-20000000000-2-2-2-222220000000000000000000000000000000000000000000000000000-222-20000
χ412-22-22222-1-2212222-1-2-2-2-2-2-2-2-21-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-212222-12i2i2i2i−2i−2i−2i−2i−ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000002i−2i2-2-1-1110000−ii00
χ422-22-22222-1-2212222-1-2-2-2-2-2-2-2-21-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-212222-12i2i2i2i−2i−2i−2i−2i−ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000−2i2i-2211-1-10000i−i00
χ432-22-22222-1-2212222-1-2-2-2-2-2-2-2-21-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-212222-1−2i−2i−2i−2i2i2i2i2ii−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000002i−2i-2211-1-10000−ii00
χ442-22-22222-1-2212222-1-2-2-2-2-2-2-2-21-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-212222-1−2i−2i−2i−2i2i2i2i2ii−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000−2i2i2-2-1-1110000i−i00
χ452-22-22-1-1-12-22-22-1-1-12-2111-2111-22-1-1-12i−2i-21112-1-1-1-2111-2111-22-1-1-122i−i−i−i−2iiii2i−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i−2i2-222-1-1-1-1-1-1-2-21111112i−i−i−i−2iiii0000000000000000
χ462-22-22-1-1-12-22-22-1-1-12-2111-2111-22-1-1-12i−2i-21112-1-1-1-2111-2111-22-1-1-122i−i−i−i−2iiii2i−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii−2i2i-22-2-211111122-1-1-1-1-1-1−2iiii2i−i−i−i0000000000000000
χ472-22-22-1-1-12-22-22-1-1-12-2111-2111-22-1-1-1−2i2i-21112-1-1-1-2111-2111-22-1-1-12−2iiii2i−i−i−i−2i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i2i−2i-22-2-211111122-1-1-1-1-1-12i−i−i−i−2iiii0000000000000000
χ482-22-22-1-1-12-22-22-1-1-12-2111-2111-22-1-1-1−2i2i-21112-1-1-1-2111-2111-22-1-1-12−2iiii2i−i−i−i−2i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i2i2-222-1-1-1-1-1-1-2-2111111−2iiii2i−i−i−i0000000000000000
χ492-22-2-12-1-12-22-2-12-1-121-2111-211-2-12-1-12i−2i1-211-12-1-11-2111-211-2-12-1-12−i2i−i−ii−2iii2i−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii2i−2i2-2-1-122-1-1-1-111-2-21111−i2i−i−ii−2iii0000000000000000
χ502-22-2-12-1-12-22-2-12-1-121-2111-211-2-12-1-12i−2i1-211-12-1-11-2111-211-2-12-1-12−i2i−i−ii−2iii2i−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii−2i2i-2211-2-21111-1-122-1-1-1-1i−2iii−i2i−i−i0000000000000000
χ512-22-2-12-1-12-22-2-12-1-121-2111-211-2-12-1-1−2i2i1-211-12-1-11-2111-211-2-12-1-12i−2iii−i2i−i−i−2i2i-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i2i−2i-2211-2-21111-1-122-1-1-1-1−i2i−i−ii−2iii0000000000000000
χ522-22-2-12-1-12-22-2-12-1-121-2111-211-2-12-1-1−2i2i1-211-12-1-11-2111-211-2-12-1-12i−2iii−i2i−i−i−2i2i-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i−2i2i2-2-1-122-1-1-1-111-2-21111i−2iii−i2i−i−i0000000000000000
χ532-22-2-1-12-12-22-2-1-12-1211-2111-21-2-1-12-12i−2i11-21-1-12-111-2111-21-2-1-12-12−i−i2i−iii−2ii2i−2i-1-12-111-21−i−i−i−i2i2i−i−iiiii−2i−2iii2i−2i2-2-1-1-1-122-1-11111-2-211−i−i2i−iii−2ii0000000000000000
χ542-22-2-1-12-12-22-2-1-12-1211-2111-21-2-1-12-12i−2i11-21-1-12-111-2111-21-2-1-12-12−i−i2i−iii−2ii2i−2i-1-12-111-21−i−i−i−i2i2i−i−iiiii−2i−2iii−2i2i-221111-2-211-1-1-1-122-1-1ii−2ii−i−i2i−i0000000000000000
χ552-22-2-1-12-12-22-2-1-12-1211-2111-21-2-1-12-1−2i2i11-21-1-12-111-2111-21-2-1-12-12ii−2ii−i−i2i−i−2i2i-1-12-111-21iiii−2i−2iii−i−i−i−i2i2i−i−i2i−2i-221111-2-211-1-1-1-122-1-1−i−i2i−iii−2ii0000000000000000
χ562-22-2-1-12-12-22-2-1-12-1211-2111-21-2-1-12-1−2i2i11-21-1-12-111-2111-21-2-1-12-12ii−2ii−i−i2i−i−2i2i-1-12-111-21iiii−2i−2iii−i−i−i−i2i2i−i−i−2i2i2-2-1-1-1-122-1-11111-2-211ii−2ii−i−i2i−i0000000000000000
χ572-22-2-1-1-122-22-2-1-1-122111-2111-2-2-1-1-122i−2i111-2-1-1-12111-2111-2-2-1-1-122−i−i−i2iiii−2i2i−2i-1-1-12111-2−i−i−i−i−i−i2i2iiiiiii−2i−2i2i−2i2-2-1-1-1-1-1-122111111-2-2−i−i−i2iiii−2i0000000000000000
χ582-22-2-1-1-122-22-2-1-1-122111-2111-2-2-1-1-122i−2i111-2-1-1-12111-2111-2-2-1-1-122−i−i−i2iiii−2i2i−2i-1-1-12111-2−i−i−i−i−i−i2i2iiiiiii−2i−2i−2i2i-22111111-2-2-1-1-1-1-1-122iii−2i−i−i−i2i0000000000000000
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χ994-44-4-24-2-244-4-4-24-2-242-4222-422-4-24-2-2002-422-24-2-22-422-24-2-242-422-400000000002-422-24-2-2000000000000000000000000000000000000000000000000000000000000
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χ1064-44-4-2-24-2-24-42-2-24-2-222-4222-42211-2100-1-12-111-21-1-12-1-2-24-2-222-4220000000000-1-12-111-21−3i3i3i−3i00−3i3i3i−3i−3i3i003i−3i00000000000000000000000000000000000000000000
χ1074-44-4-2-24-2-2-442-2-24-2-222-4222-42211-214i−4i-1-12-111-21-1-12-122-422-2-24-2-2−2i−2i4i−2i2i2i−4i2i−2i2i11-21-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i00000000000000000000000000000000000000000000
χ1084-44-4-2-24-2-2-442-2-24-2-222-4222-42211-21−4i4i-1-12-111-21-1-12-122-422-2-24-2-22i2i−4i2i−2i−2i4i−2i2i−2i11-21-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii00000000000000000000000000000000000000000000
χ1094-44-4-2-2-2444-4-4-2-2-244222-4222-4-4-2-2-2400222-4-2-2-24222-4-2-2-244222-4-40000000000222-4-2-2-24000000000000000000000000000000000000000000000000000000000000
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χ1114-44-4-2-2-24-24-42-2-2-24-2222-4222-42111-200-1-1-12111-2-1-1-12-2-2-24-2222-420000000000-1-1-12111-2−3i3i−3i3i3i−3i003i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1124-44-4-2-2-24-2-442-2-2-24-2222-4222-42111-24i−4i-1-1-12111-2-1-1-12222-42-2-2-24-2−2i−2i−2i4i2i2i2i−4i−2i2i111-2-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i00000000000000000000000000000000000000000000
χ1134-44-4-2-2-24-2-442-2-2-24-2222-4222-42111-2−4i4i-1-1-12111-2-1-1-12222-42-2-2-24-22i2i2i−4i−2i−2i−2i4i2i−2i111-2-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i00000000000000000000000000000000000000000000
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χ1174-4-444-2-2-2400-4-4222-44-2-2-2-422244-2-2-200-4222-42224-2-2-2000000000000000000000000000000000000000000000000006−66−66−600−66−66−66000000000000000000000000
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χ1244-4-44-2-2-24400-4222-4-4-2-2-24222-44-2-2-2400222-4222-4-2-2-24000000000000000000000000000000000000000000000000−66−666−6006−66−6−6600000000000000000000000000
χ12588-8-88-4-4-4-400-4-84444-84448-4-4-44-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12788-8-8-4-48-4-400-444-84444-84-4-48-4422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-8-88-4-4-48-4004444-84-4-4-48444-8-4222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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