Finite Group Databasebeta

← Group #152815

Character table — Group #152815

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order1244888816161616161616162224448888881616161616161616161616164444888816161616161616162444888816161616161616163232323232323232323232323232323232323232323232323232323232323232
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111ii−i−iii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ181111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111ii−i−iii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ191111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−iii−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ201111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−iii−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ211111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ221111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ231111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ241111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ251111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−iii−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ261111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−iii−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ271111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1ii−i−iii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ281111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1ii−i−iii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ291111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iiiii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ301111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iiiii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ311111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111ii−i−i−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ321111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111ii−i−i−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ3322222222222222222-2-22-2-222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000002i−2i002i−2i00002i−2i2i−2i00000000000000000000000000000000
χ3422222222222222222-2-22-2-222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000−2i2i00−2i2i0000−2i2i−2i2i00000000000000000000000000000000
χ352222222222222222-22-2-22-2-2-222-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ362222222222222222-22-2-22-2-2-222-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ372222222222222222-2-22-2-22-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000002-22-22-22-200000000
χ382222222222222222-2-22-2-22-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ3922222222-2-2-2-2-2-2-2-22-2-22-2-222-2-2-2-22222-2-2-2-222220000000000000000002i−2i002i−2i0000−2i2i−2i2i00000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22-2-22-2-222-2-2-2-22222-2-2-2-22222000000000000000000−2i2i00−2i2i00002i−2i2i−2i00000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-22-2-22-2-2-222-2-2-2-2-2-22222222200000000000000000000000000000000000000002-22-2-22-220000000000000000
χ4222222222-2-2-2-2-2-2-2-2-22-2-22-2-2-222-2-2-2-2-2-2222222220000000000000000000000000000000000000000-22-222-22-20000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-22-2-22-2-2-2-22222222222-2-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ4422222222-2-2-2-2-2-2-2-2-2-22-2-22-2-2-2-22222222222-2-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ452222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-2-22-2-2-2-22222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i00−2i2i00002-2-2200000000000000000000000000000000
χ462222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-2-22-2-2-2-22222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i002i−2i0000-222-200000000000000000000000000000000
χ472222-2-2-2-22i2i2i2i−2i−2i−2i−2i-22-2-22-222-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000002ζ6−2ζ6−2ζ62ζ6−2ζ22ζ22ζ2−2ζ20000000000000000
χ482222-2-2-2-22i2i2i2i−2i−2i−2i−2i-22-2-22-222-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000−2ζ62ζ62ζ6−2ζ62ζ2−2ζ2−2ζ22ζ20000000000000000
χ492222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22-2-222222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ600000000
χ502222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22-2-222222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ600000000
χ512222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2-22-2-2-2-222222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i00−2i2i0000-222-200000000000000000000000000000000
χ522222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2-22-2-2-2-222222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i002i−2i00002-2-2200000000000000000000000000000000
χ532222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-22-2-22-222-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000002ζ2−2ζ2−2ζ22ζ2−2ζ62ζ62ζ6−2ζ60000000000000000
χ542222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-22-2-22-222-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000−2ζ22ζ22ζ2−2ζ22ζ6−2ζ6−2ζ62ζ60000000000000000
χ552222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22-2-222222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ200000000
χ562222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22-2-222222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ200000000
χ5722-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6222-2-2-22i−2i2i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000000000000000000000000000002ζ5−2ζ52ζ−2ζ2ζ7−2ζ72ζ3−2ζ3
χ5822-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6222-2-2-22i−2i2i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600000000000000000000000000000000000000000000000000000000−2ζ52ζ5−2ζ2ζ−2ζ72ζ7−2ζ32ζ3
χ5922-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ62-2-2-2222i−2i−2i2i−2i2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000
χ6022-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ62-2-2-2222i−2i−2i2i−2i2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ600000000000000000000000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000
χ6122-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6-22-22-22−2i2i2i−2i−2i2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600000000000000002-2002i−2i002ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000000000
χ6222-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6-22-22-22−2i2i2i−2i−2i2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ60000000000000000-2200−2i2i00−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000000000
χ6322-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6-2-2222-2−2i2i−2i2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ622-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000000000000000000000000000000000000000000000
χ6422-2-22i2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6-2-2222-2−2i2i−2i2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6-2-222−2i−2i2i2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6000000000000000000000000000000000000000000000000
χ6522-2-22i2i−2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6222-2-2-22i−2i2i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000000000000000000000000000002ζ−2ζ−2ζ52ζ5−2ζ32ζ32ζ7−2ζ7
χ6622-2-22i2i−2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6222-2-2-22i−2i2i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600000000000000000000000000000000000000000000000000000000−2ζ2ζ2ζ5−2ζ52ζ3−2ζ3−2ζ72ζ7
χ6722-2-22i2i−2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62-2-2-2222i−2i−2i2i−2i2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000
χ6822-2-22i2i−2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62-2-2-2222i−2i−2i2i−2i2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ600000000000000000000000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.