Finite Group Databasebeta

← Group #499342

Character table — Group #499342

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
χ15222-2-22-2-2000022−2−222−2−2002i−2ii2i2−i2−i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000222-2-22-2-2000022−2−222−2−2002i−2ii2i2−i2−i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ16222-2-22-2-2000022−2−222−2−2002i−2ii2i2−i2−i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000222-2-22-2-2000022−2−222−2−2002i−2ii2i2−i2−i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ17222-2-22-2-2000022−2−222−2−200−2i2i−i2−i2i2i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000222-2-22-2-2000022−2−222−2−200−2i2i−i2−i2i2i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ18222-2-22-2-2000022−2−222−2−200−2i2i−i2−i2i2i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000222-2-22-2-2000022−2−222−2−200−2i2i−i2−i2i2i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ19222-2-22-2-20000−2−222−2−222002i−2i−i2−i2i2i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000222-2-22-2-20000−2−222−2−222002i−2i−i2−i2i2i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ20222-2-22-2-20000−2−222−2−222002i−2i−i2−i2i2i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000222-2-22-2-20000−2−222−2−222002i−2i−i2−i2i2i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ21222-2-22-2-20000−2−222−2−22200−2i2ii2i2−i2−i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000222-2-22-2-20000−2−222−2−22200−2i2ii2i2−i2−i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ22222-2-22-2-20000−2−222−2−22200−2i2ii2i2−i2−i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000222-2-22-2-20000−2−222−2−22200−2i2ii2i2−i2−i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ2322-22-2-22-200002−22−22−22−22i−2i00i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000000022-22-2-22-200002−22−22−22−22i−2i00i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ700000000
χ2422-22-2-22-200002−22−22−22−22i−2i00i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000000022-22-2-22-200002−22−22−22−22i−2i00i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ700000000
χ2522-22-2-22-200002−22−22−22−2−2i2i00−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000000022-22-2-22-200002−22−22−22−2−2i2i00−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ700000000
χ2622-22-2-22-200002−22−22−22−2−2i2i00−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000000022-22-2-22-200002−22−22−22−2−2i2i00−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ700000000
χ2722-22-2-22-20000−22−22−22−222i−2i00−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000000022-22-2-22-20000−22−22−22−222i−2i00−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ500000000
χ2822-22-2-22-20000−22−22−22−222i−2i00−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000000022-22-2-22-20000−22−22−22−222i−2i00−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ500000000
χ2922-22-2-22-20000−22−22−22−22−2i2i00i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000000022-22-2-22-20000−22−22−22−22−2i2i00i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ500000000
χ3022-22-2-22-20000−22−22−22−22−2i2i00i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000000022-22-2-22-20000−22−22−22−22−2i2i00i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ500000000
χ3122-2-22-2-222-22-20000000000002-2-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000022-2-22-2-222-22-20000000000002-2-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ3222-2-22-2-222-22-20000000000002-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000022-2-22-2-222-22-20000000000002-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ3322-2-22-2-222-22-2000000000000-222-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000022-2-22-2-222-22-2000000000000-222-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ3422-2-22-2-222-22-2000000000000-222-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000022-2-22-2-222-22-2000000000000-222-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ3522-2-22-2-22-22-222-2-222-2-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000022-2-22-2-22-22-222-2-222-2-2200000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ3622-2-22-2-22-22-222-2-222-2-220000000000000000−2i2i2i−2i−2i2i2i−2i0000000022-2-22-2-22-22-222-2-222-2-220000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ3722-2-22-2-22-22-22-222-2-222-2000000002i−2i−2i2i−2i2i2i−2i000000000000000022-2-22-2-22-22-22-222-2-222-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ3822-2-22-2-22-22-22-222-2-222-200000000−2i2i2i−2i2i−2i−2i2i000000000000000022-2-22-2-22-22-22-222-2-222-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ392-2222-2-2-2-2-2222-2-22-222-200000000000000000000000000002i−2i002-2222-2-2-2-2-2222-2-22-222-200000000000000000000000000002i−2i00
χ402-2222-2-2-2-2-2222-2-22-222-20000000000000000000000000000−2i2i002-2222-2-2-2-2-2222-2-22-222-20000000000000000000000000000−2i2i00
χ412-2222-2-2-2-2-222-222-22-2-220000000000000000000000000000002i−2i2-2222-2-2-2-2-222-222-22-2-220000000000000000000000000000002i−2i
χ422-2222-2-2-2-2-222-222-22-2-22000000000000000000000000000000−2i2i2-2222-2-2-2-2-222-222-22-2-22000000000000000000000000000000−2i2i
χ432-2-2-2222-22-2-222222-2-2-2-2000000000000000000000000002i−2i00002-2-2-2222-22-2-222222-2-2-2-2000000000000000000000000002i−2i0000
χ442-2-2-2222-22-2-222222-2-2-2-200000000000000000000000000−2i2i00002-2-2-2222-22-2-222222-2-2-2-200000000000000000000000000−2i2i0000
χ452-2-2-2222-22-2-22-2-2-2-222220000000000000000000000002-20000002-2-2-2222-22-2-22-2-2-2-222220000000000000000000000002-2000000
χ462-2-2-2222-22-2-22-2-2-2-22222000000000000000000000000-220000002-2-2-2222-22-2-22-2-2-2-22222000000000000000000000000-22000000
χ474-4444-4-4-444-4-400000000000000000000000000000000000000004-4444-4-4-444-4-40000000000000000000000000000000000000000
χ484-44-4-4-444000022−2222−22−2222−2222000000000000000000000000000000004-44-4-4-444000022−2222−22−2222−222200000000000000000000000000000000
χ494-44-4-4-4440000−2222−222222−2222−22000000000000000000000000000000004-44-4-4-4440000−2222−222222−2222−2200000000000000000000000000000000
χ504-4-44-44-4400002222−22−22−22−222222000000000000000000000000000000004-4-44-44-4400002222−22−22−22−22222200000000000000000000000000000000
χ514-4-44-44-440000−22−2222222222−22−22000000000000000000000000000000004-4-44-44-440000−22−2222222222−22−2200000000000000000000000000000000
χ524-4-4-4444-4-444-400000000000000000000000000000000000000004-4-4-4444-4-444-40000000000000000000000000000000000000000
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
χ67222-2-22-2-2000022−2−222−2−2002i−2ii2i2−i2−i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000-2-2-222-2220000−2−222−2−22200−2i2i−i2−i2i2i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ68222-2-22-2-2000022−2−222−2−2002i−2ii2i2−i2−i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000-2-2-222-2220000−2−222−2−22200−2i2i−i2−i2i2i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ69222-2-22-2-2000022−2−222−2−200−2i2i−i2−i2i2i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000-2-2-222-2220000−2−222−2−222002i−2ii2i2−i2−i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ70222-2-22-2-2000022−2−222−2−200−2i2i−i2−i2i2i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000-2-2-222-2220000−2−222−2−222002i−2ii2i2−i2−i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ71222-2-22-2-20000−2−222−2−222002i−2i−i2−i2i2i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000-2-2-222-222000022−2−222−2−200−2i2ii2i2−i2−i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ72222-2-22-2-20000−2−222−2−222002i−2i−i2−i2i2i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000-2-2-222-222000022−2−222−2−200−2i2ii2i2−i2−i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ73222-2-22-2-20000−2−222−2−22200−2i2ii2i2−i2−i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000-2-2-222-222000022−2−222−2−2002i−2i−i2−i2i2i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ74222-2-22-2-20000−2−222−2−22200−2i2ii2i2−i2−i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000-2-2-222-222000022−2−222−2−2002i−2i−i2−i2i2i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ7522-22-2-22-200002−22−22−22−22i−2i00i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ700000000-2-22-222-220000−22−22−22−22−2i2i00−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ700000000
χ7622-22-2-22-200002−22−22−22−22i−2i00i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ700000000-2-22-222-220000−22−22−22−22−2i2i00−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ700000000
χ7722-22-2-22-200002−22−22−22−2−2i2i00−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ700000000-2-22-222-220000−22−22−22−222i−2i00i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ700000000
χ7822-22-2-22-200002−22−22−22−2−2i2i00−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ700000000-2-22-222-220000−22−22−22−222i−2i00i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ700000000
χ7922-22-2-22-20000−22−22−22−222i−2i00−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ500000000-2-22-222-2200002−22−22−22−2−2i2i00i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ500000000
χ8022-22-2-22-20000−22−22−22−222i−2i00−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ500000000-2-22-222-2200002−22−22−22−2−2i2i00i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ500000000
χ8122-22-2-22-20000−22−22−22−22−2i2i00i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ500000000-2-22-222-2200002−22−22−22−22i−2i00−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ500000000
χ8222-22-2-22-20000−22−22−22−22−2i2i00i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ500000000-2-22-222-2200002−22−22−22−22i−2i00−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ500000000
χ8322-2-22-2-222-22-20000000000002-2-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000-2-222-222-2-22-22000000000000-222-2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ8422-2-22-2-222-22-20000000000002-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000-2-222-222-2-22-22000000000000-222-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ8522-2-22-2-222-22-2000000000000-222-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000-2-222-222-2-22-220000000000002-2-22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ8622-2-22-2-222-22-2000000000000-222-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000-2-222-222-2-22-220000000000002-2-22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ8722-2-22-2-22-22-222-2-222-2-2200000000000000002i−2i−2i2i2i−2i−2i2i00000000-2-222-222-22-22-2-222-2-222-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ8822-2-22-2-22-22-222-2-222-2-220000000000000000−2i2i2i−2i−2i2i2i−2i00000000-2-222-222-22-22-2-222-2-222-200000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ8922-2-22-2-22-22-22-222-2-222-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000-2-222-222-22-22-22-2-222-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ9022-2-22-2-22-22-22-222-2-222-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000-2-222-222-22-22-22-2-222-2-22000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ912-2222-2-2-2-2-2222-2-22-222-200000000000000000000000000002i−2i00-22-2-2-222222-2-2-222-22-2-220000000000000000000000000000−2i2i00
χ922-2222-2-2-2-2-2222-2-22-222-20000000000000000000000000000−2i2i00-22-2-2-222222-2-2-222-22-2-2200000000000000000000000000002i−2i00
χ932-2222-2-2-2-2-222-222-22-2-220000000000000000000000000000002i−2i-22-2-2-222222-2-22-2-22-222-2000000000000000000000000000000−2i2i
χ942-2222-2-2-2-2-222-222-22-2-22000000000000000000000000000000−2i2i-22-2-2-222222-2-22-2-22-222-20000000000000000000000000000002i−2i
χ952-2-2-2222-22-2-222222-2-2-2-2000000000000000000000000002i−2i0000-2222-2-2-22-222-2-2-2-2-2222200000000000000000000000000−2i2i0000
χ962-2-2-2222-22-2-222222-2-2-2-200000000000000000000000000−2i2i0000-2222-2-2-22-222-2-2-2-2-22222000000000000000000000000002i−2i0000
χ972-2-2-2222-22-2-22-2-2-2-222220000000000000000000000002-2000000-2222-2-2-22-222-22222-2-2-2-2000000000000000000000000-22000000
χ982-2-2-2222-22-2-22-2-2-2-22222000000000000000000000000-22000000-2222-2-2-22-222-22222-2-2-2-20000000000000000000000002-2000000
χ994-4444-4-4-444-4-40000000000000000000000000000000000000000-44-4-4-4444-4-4440000000000000000000000000000000000000000
χ1004-44-4-4-444000022−2222−22−2222−222200000000000000000000000000000000-44-4444-4-40000−2222−222222−2222−2200000000000000000000000000000000
χ1014-44-4-4-4440000−2222−222222−2222−2200000000000000000000000000000000-44-4444-4-4000022−2222−22−2222−222200000000000000000000000000000000
χ1024-4-44-44-4400002222−22−22−22−22222200000000000000000000000000000000-444-44-44-40000−22−2222222222−22−2200000000000000000000000000000000
χ1034-4-44-44-440000−22−2222222222−22−2200000000000000000000000000000000-444-44-44-400002222−22−22−22−22222200000000000000000000000000000000
χ1044-4-4-4444-4-444-40000000000000000000000000000000000000000-4444-4-4-444-4-440000000000000000000000000000000000000000

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