Finite Group Databasebeta

← Group #110828

Character table — Group #110828

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12224444444444442222444444444444888888888888888824444444444444444444888888888888888888888888444444448888888824448888
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111ii−i−i
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i
χ171111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ191111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ221111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ231111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ241111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ251111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-111-1-111-1
χ261111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11
χ271111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11
χ281111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-111-1-111-1
χ291111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-11-111-1
χ301111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11
χ311111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11
χ321111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-11-111-1
χ33222222222222222222-2-222-2-222-2-2-2-2222222222222222222-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000
χ34222222222222222222-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222000000000000000000000000
χ352222222222222222-2-222-2-222-2-22222-2-20000000000000000-2-2-2-2000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ362222222222222222-2-222-2-222-2-22222-2-20000000000000000-2-2-2-20000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2-2-2200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2-2-22000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2220000000000000000-222-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2220000000000000000-222-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222200000000000000002-2-2200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222200000000000000002-2-220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-22200000000000000002-22-2000000000000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-22200000000000000002-22-20000000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222220000000000000000-22-2222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222220000000000000000-22-22-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ492222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2222222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-22-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ502222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2222222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2-22-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ512222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2000000000000000022-2-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ522222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2000000000000000022-2-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-20000000000000000-2-22200000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-20000000000000000-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000-2-22222-2-2000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000000022-2-2-2-222000000000000000000000000
χ5722-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2002-2002i−2i00002i−2i2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ3000000000000000000000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2i2−i2i2−i200000000
χ5822-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2002-2002i−2i00002i−2i2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ300000000000000000000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22−i2i2−i2i200000000
χ5922-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2002-2002i−2i00002i−2i−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3000000000000000000000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22−i2i2−i2i200000000
χ6022-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2002-2002i−2i00002i−2i−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ300000000000000000000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2i2−i2i2−i200000000
χ6122-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2002-200−2i2i0000−2i2i2ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ000000000000000000000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−22i2−i2i2−i200000000
χ6222-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2002-200−2i2i0000−2i2i2ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ00000000000000000000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2−22−2−i2i2−i2i200000000
χ6322-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2002-200−2i2i0000−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ000000000000000000000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i2−22−2−i2i2−i2i200000000
χ6422-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2002-200−2i2i0000−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ00000000000000000000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−22−22i2−i2i2−i200000000
χ6522-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22002-2002i−2i0000−2i2i2ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ−2ζ000000000000000000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−ii2−i2−i2i2−222−200000000
χ6622-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22002-2002i−2i0000−2i2i2ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ−2ζ00000000000000000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−i2i2i2−i22−2−2200000000
χ6722-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22002-2002i−2i0000−2i2i−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ000000000000000000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−i2i2i2−i22−2−2200000000
χ6822-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22002-2002i−2i0000−2i2i−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ00000000000000000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+ii2−i2−i2i2−222−200000000
χ6922-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22002-200−2i2i00002i−2i2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ3000000000000000000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+ii2−i2−i2i22−2−2200000000
χ7022-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22002-200−2i2i00002i−2i2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ300000000000000000000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−i2i2i2−i2−222−200000000
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χ772-22-22i−2i2i−2i2-22-22i−2i2i−2i00-2200-2200−2i2i−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i2i−2i002-2002i−2i002-200−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000000000000000
χ782-22-22i−2i2i−2i2-22-22i−2i2i−2i00-2200-2200−2i2i−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2i2i00-2200−2i2i00-2200−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000000000000000
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χ802-22-22i−2i2i−2i2-22-22i−2i2i−2i00-2200-2200−2i2i−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i2i−2i002-2002i−2i002-2001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000000000000000
χ812-22-22i−2i2i−2i-22-22−2i2i−2i2i002-200-22002i−2i−2i2i001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i2-200−2i2i00-22002i−2i00−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000000000000000000000
χ822-22-22i−2i2i−2i-22-22−2i2i−2i2i002-200-22002i−2i−2i2i001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i-22002i−2i002-200−2i2i00−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000000000000000000000
χ832-22-22i−2i2i−2i-22-22−2i2i−2i2i002-200-22002i−2i−2i2i00−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i-22002i−2i002-200−2i2i001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000000000000000000000
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χ852-22-22i−2i2i−2i-22-22−2i2i−2i2i00-22002-200−2i2i2i−2i001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i002-2002i−2i00-221−i−1+i−1−i1+i−1+i1−i1+i−1−i000000000000000000000000
χ862-22-22i−2i2i−2i-22-22−2i2i−2i2i00-22002-200−2i2i2i−2i001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i00-2200−2i2i002-21−i−1+i−1−i1+i−1+i1−i1+i−1−i000000000000000000000000
χ872-22-22i−2i2i−2i-22-22−2i2i−2i2i00-22002-200−2i2i2i−2i00−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i00-2200−2i2i002-2−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000000000000000000000
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χ922-22-2−2i2i−2i2i2-22-2−2i2i−2i2i002-2002-200−2i2i−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i002-200−2i2i002-200−2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000000000000000
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χ942-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00-2200-22002i−2i2i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i2i−2i00-22002i−2i00-2200−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000000000000000
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χ10544-4-444-4-44i4i−4i−4i4i4i−4i−4i-4400-4400−4i4i0000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-4-444-4-4−4i−4i4i4i−4i−4i4i4i-4400-44004i−4i00004i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4-4-4444i4i−4i−4i−4i−4i4i4i4-400-4400−4i4i00004i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-4-444−4i−4i4i4i4i4i−4i−4i4-400-44004i−4i0000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-444i−4i−4i4i4i−4i−4i4i-444-400000000000000002i2−2i2−2i22i222−22−2222−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
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χ1114-4-444i−4i−4i4i−4i4i4i−4i4-4-44000000000000000022−22−2222−2i22i22i2−2i2−2i22i22i2−2i2−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444i−4i−4i4i−4i4i4i−4i4-4-440000000000000000−222222−222i2−2i2−2i22i22i2−2i2−2i22i222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i4i−4i−4i4i4-4-44000000000000000022−22−22222i2−2i2−2i22i22i2−2i2−2i22i2−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i4i−4i−4i4i4-4-440000000000000000−222222−22−2i22i22i2−2i2−2i22i22i2−2i222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i−4i4i4i−4i-444-400000000000000002i2−2i2−2i22i2−222222−2222−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i−4i4i4i−4i-444-40000000000000000−2i22i22i2−2i222−22−2222−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000

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