Finite Group Databasebeta

← Group #101930

Character table — Group #101930

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222444444444444444444444444888888888888888844448888888888888888888888888888888888888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ171111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1ii−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ181111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111−i−iii-1-111−i−iii−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ191111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1ii−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ201111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111−i−iii-1-111−i−iiiζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ211111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1ii−i−i-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ221111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111−i−iii11-1-1ii−i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ231111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iiiζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1ii−i−i-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ241111-1-1-1-1ii−i−ii−ii−i1-1iii−i−i−i11-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iiiζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111−i−iii11-1-1ii−i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ251111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iiiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1−i−iii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ261111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iiiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111ii−i−i-1-111ii−i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ271111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1−i−iii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ281111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111ii−i−i-1-111ii−i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ291111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-1-1-1-1-11111iiii−i−i−i−i1-1−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1−i−iii-1-111ii−i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ301111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-1-1-1-1-11111iiii−i−i−i−i1-1−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111ii−i−i11-1-1−i−iii−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ311111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−iζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1−i−iii-1-111ii−i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ321111-1-1-1-1−i−iii−ii−ii1-1−i−i−iiii11-1-1−ii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−iζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111ii−i−i11-1-1−i−iiiζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ3322222222222222222222-222-2-2-2-2-2-2-2220000000000000000-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3422222222222222222222-222-2-2-2-2-2-2-2220000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-22-2-22222222-2-22222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ362222222222222222-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222220000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-22-2-22-2-2-2-222220000000000000000-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-22-2-22-2-2-2-222220000000000000000-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2000000000000000022-2-200000000000000000000000022-2-222-2-2-2-222-2-222000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2000000000000000022-2-2000000000000000000000000-2-222-2-22222-2-222-2-2000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-222-222-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2-2-222220000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-222-222-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22200000000000000002222-2-2-2-20000000000000000000000000000000000000000
χ452222-2-2-2-22i2i−2i−2i2i−2i2i−2i2-22i2i−2i−2i−2i2i-2-222−2i2i2-20000000000000000-22−2i2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000000000000000000000000000000000
χ462222-2-2-2-22i2i−2i−2i2i−2i2i−2i2-22i2i−2i−2i−2i2i-2-222−2i2i2-20000000000000000-22−2i2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000000000000000000000000000000000000000000000
χ472222-2-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i2i2i2i−2i22-2-22i−2i-222222-2-2-2-22i2i2i2i−2i−2i−2i−2i-22−2i2i0000000000000000-2-222−2i−2i2i2i0000000000000000000000000000000000000000
χ482222-2-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i2i2i2i−2i22-2-22i−2i-22-2-2-2-22222−2i−2i−2i−2i2i2i2i2i-22−2i2i000000000000000022-2-22i2i−2i−2i0000000000000000000000000000000000000000
χ492222-2-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i−2i2i2i2i-2-222−2i2i-2200000000000000002-22i−2i0000000000000000000000002ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ−2ζ000000000000000000000000
χ502222-2-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i−2i2i2i2i-2-222−2i2i-2200000000000000002-22i−2i000000000000000000000000−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ000000000000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i−2i2i2i2i−2i-2-2222i−2i2-20000000000000000-222i−2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000000000000000000000000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i−2i2i2i2i−2i-2-2222i−2i2-20000000000000000-222i−2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000000000000000000000000000000000000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i2i−2i2i-222i2i2i−2i−2i−2i-2-2222i−2i-2200000000000000002-2−2i2i0000000000000000000000002ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ3000000000000000000000000
χ542222-2-2-2-2−2i−2i2i2i−2i2i−2i2i-222i2i2i−2i−2i−2i-2-2222i−2i-2200000000000000002-2−2i2i000000000000000000000000−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ3000000000000000000000000
χ552222-2-2-2-2−2i−2i2i2i−2i2i−2i2i-222i2i−2i−2i−2i2i22-2-2−2i2i-222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-222i−2i0000000000000000-2-2222i2i−2i−2i0000000000000000000000000000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i2i−2i2i-222i2i−2i−2i−2i2i22-2-2−2i2i-22-2-2-2-222222i2i2i2i−2i−2i−2i−2i-222i−2i000000000000000022-2-2−2i−2i2i2i0000000000000000000000000000000000000000
χ5722-2-222-2-22222-2-2-2-2000020022-22-2-2-20022-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−200000000
χ5822-2-222-2-22222-2-2-2-2000020022-22-2-2-20022-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000−22−22−22−22−22−22−22−2200000000
χ5922-2-222-2-22222-2-2-2-2000020022-22-2-2-200-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000002−22−22−22−2−22−22−22−2200000000
χ6022-2-222-2-22222-2-2-2-2000020022-22-2-2-200-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000−22−22−22−222−22−22−22−200000000
χ6122-2-222-2-2-2-2-2-222220000-200-22-22-2220022-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000002−22−2−22−222−22−2−22−2200000000
χ6222-2-222-2-2-2-2-2-222220000-200-22-22-2220022-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000−22−222−22−2−22−222−22−200000000
χ6322-2-222-2-2-2-2-2-222220000-200-22-22-22200-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000002−22−2−22−22−22−222−22−200000000
χ6422-2-222-2-2-2-2-2-222220000-200-22-22-22200-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000−22−222−22−22−22−2−22−2200000000
χ6522-2-2-2-2222i2i−2i−2i−2i2i−2i2i00002i00−2i2-2-22−2i2i0022-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000002−2−22i2−i2−i2i22−2−22i2−i2−i2i200000000
χ6622-2-2-2-2222i2i−2i−2i−2i2i−2i2i00002i00−2i2-2-22−2i2i0022-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000−222−2−i2i2i2−i2−222−2−i2i2i2−i200000000
χ6722-2-2-2-2222i2i−2i−2i−2i2i−2i2i00002i00−2i2-2-22−2i2i00-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000002−2−22i2−i2−i2i2−222−2−i2i2i2−i200000000
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χ882-22-22-22-2-22-22-2-222-2-22-202-2000000022−22−22−22−222−22−22−22−2000000000000-22-222-22-22−22−2−22−222−2−222−2−22−222−2−222−2000000000000000000000000
χ892-22-2-22-222i−2i−2i2i2i−2i−2i2i2-22i−2i0−2i2i0000000-222−22−2−22−22i2−i2i2−i2−i2i2−i2i200002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3000000002−2−22i2−i2−i2i21+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000000000000000
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χ962-22-2-22-222i−2i−2i2i2i−2i−2i2i-22−2i2i02i−2i00000002-2−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ2−2−22i2−i2−i2i2−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000000000000000000000
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χ10744-4-4-4-4444i4i−4i−4i−4i4i−4i4i0000−4i004i-444-44i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1094-4-444-4-444-44-4-4-444000000000000000022−22−222222−22−222222−22−222222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444-4-444-44-4-4-4440000000000000000−222222−22−222222−22−222222−22−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-44-44-4444-4-4000000000000000022−22−222222−22−2222−222222−22−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444-4-44-44-4444-4-40000000000000000−222222−22−222222−2222−22−222222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-444-44i−4i−4i4i−4i4i4i−4i000000000000000022−22−2222−222222−222i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-444-44i−4i−4i4i−4i4i4i−4i0000000000000000−222222−2222−22−2222−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000000000000022−22−2222−222222−22−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-444-4−4i4i4i−4i4i−4i−4i4i0000000000000000−222222−2222−22−22222i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.