Finite Group Databasebeta

← Group #136557

Character table — Group #136557

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12224444224444448888888844888888881616161616161616161616161616161688888888881616161616161616224488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1
χ91111-1-1-1-1-1-1111-1-11-1-1-1-111111-1ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iii−i−iii−i−i1111-1-1-1-111-1-1i−i11-1-1i−i
χ101111-1-1-1-1-1-1111-1-11-1-1-1-111111-1ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i−i−iiiii−i−i1111-1-1-1-1-1-111−ii-1-111−ii
χ111111-1-1-1-1-1-1111-1-11-1-1-1-111111-1ii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−iii−i−i-1-1-1-1111111-1-1i−i-1-111−ii
χ121111-1-1-1-1-1-1111-1-11-1-1-1-111111-1ii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i−i−iiiii−i−i-1-1-1-11111-1-111−ii11-1-1i−i
χ131111-1-1-1-1-1-1111-1-11-1-1-1-111111-1−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i−iiii−i−i−i−iii-1-1-1-11111-1-111i−i11-1-1−ii
χ141111-1-1-1-1-1-1111-1-11-1-1-1-111111-1−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii−i−iii-1-1-1-1111111-1-1−ii-1-111i−i
χ151111-1-1-1-1-1-1111-1-11-1-1-1-111111-1−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−iiii−i−i−i−iii1111-1-1-1-1-1-111i−i-1-111i−i
χ161111-1-1-1-1-1-1111-1-11-1-1-1-111111-1−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii−i−iii1111-1-1-1-111-1-1−ii11-1-1−ii
χ172222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000220000-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000000000000-2-20000222200000000000000000000
χ1922222222222-2-2-2-2200000000-2-2222200002222−2−2−2−22222−2−2−2−2-2-20000000022−2−222−2−2000000000000
χ2022222222222-2-2-2-2200000000-2-222220000−2−2−2−22222−2−2−2−22222-2-200000000−2−222−2−222000000000000
χ2122222222222-2-2-2-2200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−22200000000−2−222−2−222000000000000
χ2222222222222-2-2-2-2200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−22222220000000022−2−222−2−2000000000000
χ2322222222-2-2-22222-222222222-2-20000-2-2-2-200000000000000000022220000000000000000-2-2000000
χ2422222222-2-2-22222-222222222-2-20000-2-2-2-2000000000000000000-2-2-2-2000000000000000022000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000002-22-200000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000-22-2200000000
χ272222-2-2-2-222-222-2-2-22222-2-2-2-2-22000022-2-200000000000000000000000000000000002-2-2200000000
χ282222-2-2-2-222-222-2-2-22222-2-2-2-2-22000022-2-20000000000000000000000000000000000-222-200000000
χ292222-2-2-2-222-222-2-2-2-2-2-2-22222-220000-2-2220000000000000000002i2i−2i−2i0000000000000000−2i2i000000
χ302222-2-2-2-222-222-2-2-2-2-2-2-22222-220000-2-222000000000000000000−2i−2i2i2i00000000000000002i−2i000000
χ312222-2-2-2-2-2-2222-2-222222-2-2-2-22-22i2i−2i−2i-2-22200000000000000002i−2i0000−2i−2i2i2i00000000000000000000
χ322222-2-2-2-2-2-2222-2-222222-2-2-2-22-2−2i−2i2i2i-2-2220000000000000000−2i2i00002i2i−2i−2i00000000000000000000
χ332222-2-2-2-2-2-22-2-222200000000-222i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2i2i0000000022−2−2−2−222000000000000
χ342222-2-2-2-2-2-22-2-222200000000-222i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2i2i00000000−2−22222−2−2000000000000
χ352222-2-2-2-2-2-22-2-222200000000-22−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22i−2i00000000−2−22222−2−2000000000000
χ362222-2-2-2-2-2-22-2-222200000000-22−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22i−2i0000000022−2−2−2−222000000000000
χ3722-2-22i2i−2i−2i0002-22i−2i02i2i−2i−2i22-2-200000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i002ζ2−2ζ22ζ6−2ζ60000000000000000002−2i2−i200
χ3822-2-22i2i−2i−2i0002-22i−2i02i2i−2i−2i22-2-200000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00−2ζ22ζ2−2ζ62ζ6000000000000000000−22−i2i200
χ3922-2-22i2i−2i−2i0002-22i−2i02i2i−2i−2i22-2-20000000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i002ζ2−2ζ22ζ6−2ζ6000000000000000000−22−i2i200
χ4022-2-22i2i−2i−2i0002-22i−2i02i2i−2i−2i22-2-20000000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00−2ζ22ζ2−2ζ62ζ60000000000000000002−2i2−i200
χ4122-2-2−2i−2i2i2i0002-2−2i2i0−2i−2i2i2i22-2-200000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i002ζ6−2ζ62ζ2−2ζ2000000000000000000−22i2−i200
χ4222-2-2−2i−2i2i2i0002-2−2i2i0−2i−2i2i2i22-2-200000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00−2ζ62ζ6−2ζ22ζ20000000000000000002−2−i2i200
χ4322-2-2−2i−2i2i2i0002-2−2i2i0−2i−2i2i2i22-2-20000000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i002ζ6−2ζ62ζ2−2ζ20000000000000000002−2−i2i200
χ4422-2-2−2i−2i2i2i0002-2−2i2i0−2i−2i2i2i22-2-20000000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00−2ζ62ζ6−2ζ22ζ2000000000000000000−22i2−i200
χ452-2-222-22-22-220000-22−22−22−22−2002-22-22−22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000002−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ462-2-222-22-22-220000-22−22−22−22−2002-22-22−22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000002−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ472-2-222-22-22-220000-22−22−22−22−200-22-222−22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000−22−22−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ482-2-222-22-22-220000-22−22−22−22−200-22-222−22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000−22−22ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ492-2-222-22-22-220000-2−22−22−22−22002-22-2−22−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000−22−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ502-2-222-22-22-220000-2−22−22−22−22002-22-2−22−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000−22−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ512-2-222-22-22-220000-2−22−22−22−2200-22-22−22−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000002−22−2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ522-2-222-22-22-220000-2−22−22−22−2200-22-22−22−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000002−22−2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ532-2-22-22-22-2220000-22−22−2−22−22002i−2i−2i2i−222−2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000−i2i2i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ542-2-22-22-22-2220000-22−22−2−22−22002i−2i−2i2i−222−2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000−i2i2i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ552-2-22-22-22-2220000-22−22−2−22−2200−2i2i2i−2i−222−2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000i2−i2−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ562-2-22-22-22-2220000-22−22−2−22−2200−2i2i2i−2i−222−2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000i2−i2−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ572-2-22-22-22-2220000-2−22−222−22−2002i−2i−2i2i2−2−22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000i2−i2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ582-2-22-22-22-2220000-2−22−222−22−2002i−2i−2i2i2−2−22−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000i2−i2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ592-2-22-22-22-2220000-2−22−222−22−200−2i2i2i−2i2−2−22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000−i2i2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ602-2-22-22-22-2220000-2−22−222−22−200−2i2i2i−2i2−2−22−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000−i2i2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ6144444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-444-4-4-444-4000000004-4000000000000000000000000000000000000000000000000000000
χ6344-4-44i4i−4i−4i0004-44i−4i0−4i−4i4i4i-4-44400000000000000000000000000000000000000000000000000000000
χ6444-4-44i4i−4i−4i000-44−4i4i00000000000000000002ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ6000000000000000000000000000000
χ6544-4-44i4i−4i−4i000-44−4i4i0000000000000000000−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ6000000000000000000000000000000
χ6644-4-4−4i−4i4i4i0004-4−4i4i04i4i−4i−4i-4-44400000000000000000000000000000000000000000000000000000000
χ6744-4-4−4i−4i4i4i000-444i−4i00000000000000000002ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ2000000000000000000000000000000
χ6844-4-4−4i−4i4i4i000-444i−4i0000000000000000000−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ2000000000000000000000000000000
χ694-44-44i−4i−4i4i000000002i2−2i2−2i22i222−22−22220000000000ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7000000000000000000000000000000
χ704-44-44i−4i−4i4i000000002i2−2i2−2i22i222−22−22220000000000−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7000000000000000000000000000000
χ714-44-44i−4i−4i4i00000000−2i22i22i2−2i2−222222−220000000000ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7000000000000000000000000000000
χ724-44-44i−4i−4i4i00000000−2i22i22i2−2i2−222222−220000000000−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7000000000000000000000000000000
χ734-44-4−4i4i4i−4i000000002i2−2i2−2i22i2−222222−220000000000ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7000000000000000000000000000000
χ744-44-4−4i4i4i−4i000000002i2−2i2−2i22i2−222222−220000000000−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7000000000000000000000000000000
χ754-44-4−4i4i4i−4i00000000−2i22i22i2−2i222−22−22220000000000ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7000000000000000000000000000000
χ764-44-4−4i4i4i−4i00000000−2i22i22i2−2i222−22−22220000000000−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7000000000000000000000000000000
χ774-4-444-44-4-44-40000422−2222−2222−2222−22000000−2222−22220000000000000000000000000000000000000000000000
χ784-4-444-44-4-44-400004−2222−2222−2222−222200000022−2222−220000000000000000000000000000000000000000000000
χ794-4-44-44-444-4-40000422−2222−22−2222−222200000022−22−22220000000000000000000000000000000000000000000000
χ804-4-44-44-444-4-400004−2222−222222−2222−22000000−222222−220000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.