Finite Group Databasebeta

← Group #135708

Character table — Group #135708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order1222444444444444224444448888888888888888444444448888888888888888888888881616161616161616161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ2511111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ2611111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ2711111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ2811111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ332222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i−2i−2i2i-222-200000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i2i2i−2i2-2-2200000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000002i−2i−2i2i2-2-2200000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i2i2i−2i-222-200000000000000000000000000000000
χ412222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ422222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ432222-2-2-2-22222-2-2-2-222-2-222-2-2-2-222-2-222-2-222-2-22200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ442222-2-2-2-22222-2-2-2-222-2-222-2-2-2-222-2-222-2-222-2-2220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ492222-2-2-2-2-2-2-2-2222222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i−2i2i-222-20000000000000000000000000000000000000000
χ502222-2-2-2-2-2-2-2-2222222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i2i−2i2-2-220000000000000000000000000000000000000000
χ512222-2-2-2-2-2-2-2-2222222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000002i−2i−2i2i2-2-220000000000000000000000000000000000000000
χ522222-2-2-2-2-2-2-2-2222222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i2i−2i-222-20000000000000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-22222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-22222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ5722-2-222-2-22i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ6000000000000000000000000000000000000000000000000000000002ζ5−2ζ52ζ−2ζ2ζ7−2ζ72ζ3−2ζ3
χ5822-2-222-2-22i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ600000000000000000000000000000000000000000000000000000000−2ζ52ζ5−2ζ2ζ−2ζ72ζ7−2ζ32ζ3
χ5922-2-222-2-22i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6000000000000000000000000000000000000000000000000000000002ζ−2ζ−2ζ52ζ5−2ζ32ζ32ζ7−2ζ7
χ6022-2-222-2-22i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ600000000000000000000000000000000000000000000000000000000−2ζ2ζ2ζ5−2ζ52ζ3−2ζ3−2ζ72ζ7
χ6122-2-222-2-22i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i2ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ22ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ6000000000000000000000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000
χ6222-2-222-2-22i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i2ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ22ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ600000000000000000000000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000
χ6322-2-222-2-22i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i−2ζ22ζ2−2ζ22ζ22ζ2−2ζ22ζ2−2ζ2−2ζ62ζ6−2ζ62ζ62ζ6−2ζ62ζ6−2ζ6000000000000000000000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000
χ6422-2-222-2-22i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i−2ζ22ζ2−2ζ22ζ22ζ2−2ζ22ζ2−2ζ2−2ζ62ζ6−2ζ62ζ62ζ6−2ζ62ζ6−2ζ600000000000000000000000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000
χ6522-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i2ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ2000000000000000000000000000000000000000000000000000000002ζ7−2ζ7−2ζ32ζ3−2ζ52ζ52ζ−2ζ
χ6622-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i2ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ200000000000000000000000000000000000000000000000000000000−2ζ72ζ72ζ3−2ζ32ζ5−2ζ5−2ζ2ζ
χ6722-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ7−2ζ72ζ−2ζ2ζ5−2ζ5
χ6822-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ200000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ72ζ7−2ζ2ζ−2ζ52ζ5
χ6922-2-222-2-2−2i−2i2i2i−2i−2i2i2i-22-222i−2i2i−2i2ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ62ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ2000000000000000000000000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.