Finite Group Databasebeta

← Group #205809

Character table — Group #205809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444222244444444444444448888888888888888244488888888888888888888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ1211111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ1311111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ181111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ191111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ201111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ211111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-11i−ii−i−ii−ii
χ221111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-111-11-1−ii−iii−ii−i
χ231111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-11-1-11-11−ii−iii−ii−i
χ241111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-111-11-1i−ii−i−ii−ii
χ251111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ261111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ271111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1-111-1
χ281111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-11-1-111-1-11
χ291111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ301111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ311111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-111-11-1-11
χ321111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-1
χ332222222222-2-2222222-2-2-2-222-2-2220000000000000000-2-2-2-200000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ342222222222-2-2222222-2-2-2-222-2-2220000000000000000-2-2-2-2000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ352222222222-2-222-2-2-2-222-2-2-2-222-2-20000000000000000-2-2220000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ362222222222-2-222-2-2-2-222-2-2-2-222-2-20000000000000000-2-222000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ3722222222-2-222-2-222-2-222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3822222222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ3922222222-2-222-2-2-2-222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ4022222222-2-222-2-2-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-200000000000000002222000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ4222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-20000000000000000222200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000022-2-20000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000022-2-200000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ452222-2-2-2-22222-2-22222-2-2-2-2-2-222-2-200000000000000002-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ462222-2-2-2-22222-2-22222-2-2-2-2-2-222-2-200000000000000002-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22200000000000000002-22-200000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22200000000000000002-22-2000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ492222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000-222-20000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ502222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000-222-200000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ512222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-20000000000000000-22-22000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ522222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-20000000000000000-22-2200000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222222-2-2-2-22222-2-2-2-22-2-22-2-222-2-222000000000000000000000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-222-2-2-2-22222-2-2-2-222222-2-2222-2-222-2-2000000000000000000000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-222-2-222-2-2222222-2-22222-2-2-2-2-2-2-2-222222-22-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-222-2-222-2-2222222-2-2-2-2-2-222222222-2-2-2-22-22-222-2-2-2-222000000000000000000000000000000000000000000000000
χ572-22-22i2i−2i−2i2-2002i−2i2-22-200002i−2i002i−2ii2i2−i2−i222−2−2i2i2−i2−i222−2−20000i2−i22−2i2−i22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ0000000000000000
χ582-22-22i2i−2i−2i2-2002i−2i2-22-200002i−2i002i−2ii2i2−i2−i222−2−2i2i2−i2−i222−2−20000i2−i22−2i2−i22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ0000000000000000
χ592-22-22i2i−2i−2i2-2002i−2i2-22-200002i−2i002i−2i−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000−i2i2−22−i2i2−221+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ0000000000000000
χ602-22-22i2i−2i−2i2-2002i−2i2-22-200002i−2i002i−2i−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000−i2i2−22−i2i2−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ0000000000000000
χ612-22-22i2i−2i−2i2-2002i−2i-22-220000−2i2i00−2i2ii2i2−i2−i222−2−2−i2−i2i2i2−2−2220000i2−i22−2−i2i2−221−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i002ζ−2ζ00−2ζ32ζ300−2ζ2ζ002ζ3−2ζ30000000000000000
χ622-22-22i2i−2i−2i2-2002i−2i-22-220000−2i2i00−2i2ii2i2−i2−i222−2−2−i2−i2i2i2−2−2220000i2−i22−2−i2i2−22−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00−2ζ2ζ002ζ3−2ζ3002ζ−2ζ00−2ζ32ζ30000000000000000
χ632-22-22i2i−2i−2i2-2002i−2i-22-220000−2i2i00−2i2i−i2−i2i2i2−2−222i2i2−i2−i222−2−20000−i2i2−22i2−i22−21−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00−2ζ2ζ002ζ3−2ζ3002ζ−2ζ00−2ζ32ζ30000000000000000
χ642-22-22i2i−2i−2i2-2002i−2i-22-220000−2i2i00−2i2i−i2−i2i2i2−2−222i2i2−i2−i222−2−20000−i2i2−22i2−i22−2−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i002ζ−2ζ00−2ζ32ζ300−2ζ2ζ002ζ3−2ζ30000000000000000
χ652-22-22i2i−2i−2i-2200−2i2i2-2-2200002i−2i00−2i2ii2i2−i2−i222−2−2i2i2−i2−i222−2−20000−i2i2−22−i2i2−221−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ−2ζ002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3000000000000000000
χ662-22-22i2i−2i−2i-2200−2i2i2-2-2200002i−2i00−2i2ii2i2−i2−i222−2−2i2i2−i2−i222−2−20000−i2i2−22−i2i2−22−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ3000000000000000000
χ672-22-22i2i−2i−2i-2200−2i2i2-2-2200002i−2i00−2i2i−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000i2−i22−2i2−i22−21−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ3000000000000000000
χ682-22-22i2i−2i−2i-2200−2i2i2-2-2200002i−2i00−2i2i−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000i2−i22−2i2−i22−2−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i2ζ−2ζ002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3000000000000000000
χ692-22-22i2i−2i−2i-2200−2i2i-222-20000−2i2i002i−2ii2i2−i2−i222−2−2−i2−i2i2i2−2−2220000−i2i2−22i2−i22−21+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i2ζ3−2ζ300−2ζ2ζ00−2ζ32ζ3002ζ−2ζ000000000000000000
χ702-22-22i2i−2i−2i-2200−2i2i-222-20000−2i2i002i−2ii2i2−i2−i222−2−2−i2−i2i2i2−2−2220000−i2i2−22i2−i22−2−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−2ζ32ζ3002ζ−2ζ002ζ3−2ζ300−2ζ2ζ000000000000000000
χ712-22-22i2i−2i−2i-2200−2i2i-222-20000−2i2i002i−2i−i2−i2i2i2−2−222i2i2−i2−i222−2−20000i2−i22−2−i2i2−221+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−2ζ32ζ3002ζ−2ζ002ζ3−2ζ300−2ζ2ζ000000000000000000
χ722-22-22i2i−2i−2i-2200−2i2i-222-20000−2i2i002i−2i−i2−i2i2i2−2−222i2i2−i2−i222−2−20000i2−i22−2−i2i2−22−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i2ζ3−2ζ300−2ζ2ζ00−2ζ32ζ3002ζ−2ζ000000000000000000
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χ802-22-2−2i−2i2i2i2-200−2i2i-22-2200002i−2i002i−2i−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000−i2i22−2i2−i2−22−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i002ζ3−2ζ300−2ζ2ζ00−2ζ32ζ3002ζ−2ζ0000000000000000
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χ822-22-2−2i−2i2i2i-22002i−2i2-2-220000−2i2i002i−2ii2i2−i2−i2−2−222i2i2−i2−i2−2−2220000−i2i22−2−i2i22−2−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ000000000000000000
χ832-22-2−2i−2i2i2i-22002i−2i2-2-220000−2i2i002i−2i−i2−i2i2i222−2−2−i2−i2i2i222−2−20000i2−i2−22i2−i2−221+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ000000000000000000
χ842-22-2−2i−2i2i2i-22002i−2i2-2-220000−2i2i002i−2i−i2−i2i2i222−2−2−i2−i2i2i222−2−20000i2−i2−22i2−i2−22−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i2ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ000000000000000000
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χ882-22-2−2i−2i2i2i-22002i−2i-222-200002i−2i00−2i2i−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000i2−i2−22−i2i22−2−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i2ζ−2ζ00−2ζ32ζ300−2ζ2ζ002ζ3−2ζ3000000000000000000
χ8944-4-44-44-4004-4000000004-4000000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000
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χ9144-4-44-44-400-4400000000-440000004-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-44-400-4400000000-44000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-44-44004-400000000-440000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-44-44004-400000000-44000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000
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χ9644-4-4-44-4400-44000000004-400000000000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000
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χ994-4-444i−4i−4i4i0000000000-440000−4i4i002i2−2i2−2i22i222−22−2222−2i22i22i2−2i2−222222−22000000000000000000000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i0000000000-440000−4i4i00−2i22i22i2−2i2−222222−222i2−2i2−2i22i222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i00000000004-40000−4i4i002i2−2i2−2i22i2−222222−222i2−2i2−2i22i2−222222−22000000000000000000000000000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i00000000004-40000−4i4i00−2i22i22i2−2i222−22−2222−2i22i22i2−2i222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i0000000000-4400004i−4i002i2−2i2−2i22i2−222222−22−2i22i22i2−2i222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i0000000000-4400004i−4i00−2i22i22i2−2i222−22−22222i2−2i2−2i22i2−222222−22000000000000000000000000000000000000000000000000000000000000

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