Finite Group Databasebeta

← Group #499341

Character table — Group #499341

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222224444444444444444444444441616161616161616111111112222222222224444444444444444444444441616161616161616
order1222222244448888888844448888161616161616161616161616161616162244444422222222444488888888444488881616161616161616161616161616161622444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ10222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1122222222-2-2-2-20000000022-2-200002222−2−2−2−22222−2−2−2−20000000022222222-2-2-2-20000000022-2-200002222−2−2−2−22222−2−2−2−200000000
χ1222222222-2-2-2-20000000022-2-20000−2−2−2−22222−2−2−2−222220000000022222222-2-2-2-20000000022-2-20000−2−2−2−22222−2−2−2−2222200000000
χ1322222222-2-2-2-200000000-2-22200002222−2−2−2−2−2−2−2−222220000000022222222-2-2-2-200000000-2-22200002222−2−2−2−2−2−2−2−2222200000000
χ1422222222-2-2-2-200000000-2-2220000−2−2−2−222222222−2−2−2−20000000022222222-2-2-2-200000000-2-2220000−2−2−2−222222222−2−2−2−200000000
χ1522-22-2-22-2000022−2−222−2−2002-222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000022-22-2-22-2000022−2−222−2−2002-222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700000000
χ1622-22-2-22-2000022−2−222−2−2002-222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000022-22-2-22-2000022−2−222−2−2002-222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700000000
χ1722-22-2-22-2000022−2−222−2−200-22−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000022-22-2-22-2000022−2−222−2−200-22−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700000000
χ1822-22-2-22-2000022−2−222−2−200-22−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000022-22-2-22-2000022−2−222−2−200-22−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700000000
χ1922-22-2-22-20000−2−222−2−222002-2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000022-22-2-22-20000−2−222−2−222002-2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500000000
χ2022-22-2-22-20000−2−222−2−222002-2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000022-22-2-22-20000−2−222−2−222002-2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500000000
χ2122-22-2-22-20000−2−222−2−22200-2222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000022-22-2-22-20000−2−222−2−22200-2222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500000000
χ2222-22-2-22-20000−2−222−2−22200-2222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000022-22-2-22-20000−2−222−2−22200-2222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500000000
χ2322-2-22-2-222-22-22222-2-2-2-2000000000000000000000000002i−2i000022-2-22-2-222-22-22222-2-2-2-2000000000000000000000000002i−2i0000
χ2422-2-22-2-222-22-22222-2-2-2-200000000000000000000000000−2i2i000022-2-22-2-222-22-22222-2-2-2-200000000000000000000000000−2i2i0000
χ2522-2-22-2-222-22-2-2-2-2-222220000000000000000000000002-200000022-2-22-2-222-22-2-2-2-2-222220000000000000000000000002-2000000
χ2622-2-22-2-222-22-2-2-2-2-22222000000000000000000000000-2200000022-2-22-2-222-22-2-2-2-2-22222000000000000000000000000-22000000
χ272-22-22-22-22-2-220000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22-22-22-22-2-220000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ282-22-22-22-22-2-220000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-22-22-22-2-220000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ292-22-22-22-22-2-22000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000002-22-22-22-22-2-22000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ302-22-22-22-22-2-22000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000002-22-22-22-22-2-22000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ312-22-22-22-2-222-22-22-22-22-200000000000000002i−2i2i−2i−2i2i−2i2i000000002-22-22-22-2-222-22-22-22-22-200000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ322-22-22-22-2-222-22-22-22-22-20000000000000000−2i2i−2i2i2i−2i2i−2i000000002-22-22-22-2-222-22-22-22-22-20000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ332-22-22-22-2-222-2-22-22-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000002-22-22-22-2-222-2-22-22-22-22000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ342-22-22-22-2-222-2-22-22-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000000000002-22-22-22-2-222-2-22-22-22-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ352-2-2222-2-2-2-2222-22-2-22-2200000000000000000000000000002i−2i002-2-2222-2-2-2-2222-22-2-22-2200000000000000000000000000002i−2i00
χ362-2-2222-2-2-2-2222-22-2-22-220000000000000000000000000000−2i2i002-2-2222-2-2-2-2222-22-2-22-220000000000000000000000000000−2i2i00
χ372-2-2222-2-2-2-222-22-222-22-20000000000000000000000000000002i−2i2-2-2222-2-2-2-222-22-222-22-20000000000000000000000000000002i−2i
χ382-2-2222-2-2-2-222-22-222-22-2000000000000000000000000000000−2i2i2-2-2222-2-2-2-222-22-222-22-2000000000000000000000000000000−2i2i
χ392-2-2-2-222200002−2−222−2−222-2002−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000002-2-2-2-222200002−2−222−2−222-2002−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ402-2-2-2-222200002−2−222−2−222-2002−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000002-2-2-2-222200002−2−222−2−222-2002−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ412-2-2-2-222200002−2−222−2−22-2200−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000002-2-2-2-222200002−2−222−2−22-2200−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ422-2-2-2-222200002−2−222−2−22-2200−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000002-2-2-2-222200002−2−222−2−22-2200−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ432-2-2-2-22220000−222−2−222−22-200−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000002-2-2-2-22220000−222−2−222−22-200−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ442-2-2-2-22220000−222−2−222−22-200−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000002-2-2-2-22220000−222−2−222−22-200−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ452-2-2-2-22220000−222−2−222−2-22002−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000002-2-2-2-22220000−222−2−222−2-22002−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ462-2-2-2-22220000−222−2−222−2-22002−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000002-2-2-2-22220000−222−2−222−2-22002−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ47444-4-44-4-400002222−22−22−22−22222200000000000000000000000000000000444-4-44-4-400002222−22−22−22−22222200000000000000000000000000000000
χ48444-4-44-4-40000−22−2222222222−22−2200000000000000000000000000000000444-4-44-4-40000−22−2222222222−22−2200000000000000000000000000000000
χ4944-4-44-4-44-44-44000000000000000000000000000000000000000044-4-44-4-44-44-440000000000000000000000000000000000000000
χ504-444-4-4-44000022−22−2222−222222−22000000000000000000000000000000004-444-4-4-44000022−22−2222−222222−2200000000000000000000000000000000
χ514-444-4-4-440000−222222−2222−22−2222000000000000000000000000000000004-444-4-4-440000−222222−2222−22−222200000000000000000000000000000000
χ524-4-4444-4-444-4-400000000000000000000000000000000000000004-4-4444-4-444-4-40000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ5811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000
χ62222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000
χ6322222222-2-2-2-20000000022-2-200002222−2−2−2−22222−2−2−2−200000000-2-2-2-2-2-2-2-2222200000000-2-2220000−2−2−2−22222−2−2−2−2222200000000
χ6422222222-2-2-2-20000000022-2-20000−2−2−2−22222−2−2−2−2222200000000-2-2-2-2-2-2-2-2222200000000-2-22200002222−2−2−2−22222−2−2−2−200000000
χ6522222222-2-2-2-200000000-2-22200002222−2−2−2−2−2−2−2−2222200000000-2-2-2-2-2-2-2-222220000000022-2-20000−2−2−2−222222222−2−2−2−200000000
χ6622222222-2-2-2-200000000-2-2220000−2−2−2−222222222−2−2−2−200000000-2-2-2-2-2-2-2-222220000000022-2-200002222−2−2−2−2−2−2−2−2222200000000
χ6722-22-2-22-2000022−2−222−2−2002-222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700000000-2-22-222-220000−2−222−2−22200-22−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700000000
χ6822-22-2-22-2000022−2−222−2−2002-222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700000000-2-22-222-220000−2−222−2−22200-22−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700000000
χ6922-22-2-22-2000022−2−222−2−200-22−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700000000-2-22-222-220000−2−222−2−222002-222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700000000
χ7022-22-2-22-2000022−2−222−2−200-22−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700000000-2-22-222-220000−2−222−2−222002-222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700000000
χ7122-22-2-22-20000−2−222−2−222002-2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500000000-2-22-222-22000022−2−222−2−200-2222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500000000
χ7222-22-2-22-20000−2−222−2−222002-2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500000000-2-22-222-22000022−2−222−2−200-2222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500000000
χ7322-22-2-22-20000−2−222−2−22200-2222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500000000-2-22-222-22000022−2−222−2−2002-2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500000000
χ7422-22-2-22-20000−2−222−2−22200-2222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500000000-2-22-222-22000022−2−222−2−2002-2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500000000
χ7522-2-22-2-222-22-22222-2-2-2-2000000000000000000000000002i−2i0000-2-222-222-2-22-22-2-2-2-2222200000000000000000000000000−2i2i0000
χ7622-2-22-2-222-22-22222-2-2-2-200000000000000000000000000−2i2i0000-2-222-222-2-22-22-2-2-2-22222000000000000000000000000002i−2i0000
χ7722-2-22-2-222-22-2-2-2-2-222220000000000000000000000002-2000000-2-222-222-2-22-222222-2-2-2-2000000000000000000000000-22000000
χ7822-2-22-2-222-22-2-2-2-2-22222000000000000000000000000-22000000-2-222-222-2-22-222222-2-2-2-20000000000000000000000002-2000000
χ792-22-22-22-22-2-220000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-22-22-22-22-222-2000000000000-22-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ802-22-22-22-22-2-220000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-22-22-22-22-222-2000000000000-22-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ812-22-22-22-22-2-22000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000-22-22-22-22-222-20000000000002-22-2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ822-22-22-22-22-2-22000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000-22-22-22-22-222-20000000000002-22-2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ832-22-22-22-2-222-22-22-22-22-200000000000000002i−2i2i−2i−2i2i−2i2i00000000-22-22-22-222-2-22-22-22-22-220000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ842-22-22-22-2-222-22-22-22-22-20000000000000000−2i2i−2i2i2i−2i2i−2i00000000-22-22-22-222-2-22-22-22-22-2200000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ852-22-22-22-2-222-2-22-22-22-22000000002i−2i2i−2i−2i2i−2i2i0000000000000000-22-22-22-222-2-222-22-22-22-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ862-22-22-22-2-222-2-22-22-22-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000-22-22-22-222-2-222-22-22-22-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ872-2-2222-2-2-2-2222-22-2-22-2200000000000000000000000000002i−2i00-222-2-2-22222-2-2-22-222-22-20000000000000000000000000000−2i2i00
χ882-2-2222-2-2-2-2222-22-2-22-220000000000000000000000000000−2i2i00-222-2-2-22222-2-2-22-222-22-200000000000000000000000000002i−2i00
χ892-2-2222-2-2-2-222-22-222-22-20000000000000000000000000000002i−2i-222-2-2-22222-2-22-22-2-22-22000000000000000000000000000000−2i2i
χ902-2-2222-2-2-2-222-22-222-22-2000000000000000000000000000000−2i2i-222-2-2-22222-2-22-22-2-22-220000000000000000000000000000002i−2i
χ912-2-2-2-222200002−2−222−2−222-2002−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000-22222-2-2-20000−222−2−222−2-2200−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ922-2-2-2-222200002−2−222−2−222-2002−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000-22222-2-2-20000−222−2−222−2-2200−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ932-2-2-2-222200002−2−222−2−22-2200−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000-22222-2-2-20000−222−2−222−22-2002−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ942-2-2-2-222200002−2−222−2−22-2200−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000-22222-2-2-20000−222−2−222−22-2002−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ952-2-2-2-22220000−222−2−222−22-200−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000-22222-2-2-200002−2−222−2−22-22002−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ962-2-2-2-22220000−222−2−222−22-200−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000-22222-2-2-200002−2−222−2−22-22002−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ972-2-2-2-22220000−222−2−222−2-22002−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000-22222-2-2-200002−2−222−2−222-200−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ982-2-2-2-22220000−222−2−222−2-22002−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000-22222-2-2-200002−2−222−2−222-200−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ99444-4-44-4-400002222−22−22−22−22222200000000000000000000000000000000-4-4-444-4440000−22−2222222222−22−2200000000000000000000000000000000
χ100444-4-44-4-40000−22−2222222222−22−2200000000000000000000000000000000-4-4-444-44400002222−22−22−22−22222200000000000000000000000000000000
χ10144-4-44-4-44-44-440000000000000000000000000000000000000000-4-444-444-44-44-40000000000000000000000000000000000000000
χ1024-444-4-4-44000022−22−2222−222222−2200000000000000000000000000000000-44-4-4444-40000−222222−2222−22−222200000000000000000000000000000000
χ1034-444-4-4-440000−222222−2222−22−222200000000000000000000000000000000-44-4-4444-4000022−22−2222−222222−2200000000000000000000000000000000
χ1044-4-4444-4-444-4-40000000000000000000000000000000000000000-444-4-4-444-4-4440000000000000000000000000000000000000000

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