Finite Group Databasebeta

← Group #125353

Character table — Group #125353

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-1-11
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-22200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2322222222-2-2-2-22222-2-2-2-222220000000000000000-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2422222222-2-2-2-22222-2-2-2-222220000000000000000-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2722222222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2922-2-222-2-200002i2i−2i−2i000022-2-222−2−2i2i2i2i2−i2−i2−i2−i222−2−2002i−2i0022−2−2i2i2−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+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ3022-2-222-2-200002i2i−2i−2i000022-2-222−2−2i2i2i2i2−i2−i2−i2−i222−2−2002i−2i0022−2−2i2i2−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−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ3122-2-222-2-200002i2i−2i−2i000022-2-2−2−222−i2−i2−i2−i2i2i2i2i2−2−222002i−2i00−2−222−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+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ3222-2-222-2-200002i2i−2i−2i000022-2-2−2−222−i2−i2−i2−i2i2i2i2i2−2−222002i−2i00−2−222−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−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ3322-2-222-2-200002i2i−2i−2i0000-2-22222−2−2i2i2i2i2−i2−i2−i2−i222−2−200−2i2i00−2−222−i2−i2i2i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ3422-2-222-2-200002i2i−2i−2i0000-2-22222−2−2i2i2i2i2−i2−i2−i2−i222−2−200−2i2i00−2−222−i2−i2i2i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ3522-2-222-2-200002i2i−2i−2i0000-2-222−2−222−i2−i2−i2−i2i2i2i2i2−2−22200−2i2i0022−2−2i2i2−i2−i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ3622-2-222-2-200002i2i−2i−2i0000-2-222−2−222−i2−i2−i2−i2i2i2i2i2−2−22200−2i2i0022−2−2i2i2−i2−i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ3722-2-222-2-20000−2i−2i2i2i000022-2-222−2−2−i2−i2−i2−i2i2i2i2i222−2−200−2i2i0022−2−2−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−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ3822-2-222-2-20000−2i−2i2i2i000022-2-222−2−2−i2−i2−i2−i2i2i2i2i222−2−200−2i2i0022−2−2−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+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ3922-2-222-2-20000−2i−2i2i2i000022-2-2−2−222i2i2i2i2−i2−i2−i2−i2−2−22200−2i2i00−2−222i2i2−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−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ4022-2-222-2-20000−2i−2i2i2i000022-2-2−2−222i2i2i2i2−i2−i2−i2−i2−2−22200−2i2i00−2−222i2i2−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+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ4122-2-222-2-20000−2i−2i2i2i0000-2-22222−2−2−i2−i2−i2−i2i2i2i2i222−2−2002i−2i00−2−222i2i2−i2−i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ4222-2-222-2-20000−2i−2i2i2i0000-2-22222−2−2−i2−i2−i2−i2i2i2i2i222−2−2002i−2i00−2−222i2i2−i2−i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ4322-2-222-2-20000−2i−2i2i2i0000-2-222−2−222i2i2i2i2−i2−i2−i2−i2−2−222002i−2i0022−2−2−i2−i2i2i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ4422-2-222-2-20000−2i−2i2i2i0000-2-222−2−222i2i2i2i2−i2−i2−i2−i2−2−222002i−2i0022−2−2−i2−i2i2i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ452-22-22-22-20000000022-2-22i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00002i−2i000000002-22-21+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000
χ462-22-22-22-20000000022-2-22i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00002i−2i000000002-22-2−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000
χ472-22-22-22-20000000022-2-22i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i00002i−2i00000000-22-221+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000
χ482-22-22-22-20000000022-2-22i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i00002i−2i00000000-22-22−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000
χ492-22-22-22-20000000022-2-2−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i0000−2i2i00000000-22-221−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000
χ502-22-22-22-20000000022-2-2−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i0000−2i2i00000000-22-22−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000
χ512-22-22-22-20000000022-2-2−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000−2i2i000000002-22-21−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000
χ522-22-22-22-20000000022-2-2−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000−2i2i000000002-22-2−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000
χ532-22-22-22-200000000-2-2222i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i−2i2i00002-22-20000000000002ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ200000000−2ζ62ζ6−2ζ62ζ62ζ6−2ζ62ζ6−2ζ6000000000000
χ542-22-22-22-200000000-2-2222i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i−2i2i00002-22-2000000000000−2ζ22ζ2−2ζ22ζ22ζ2−2ζ22ζ2−2ζ2000000002ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ6000000000000
χ552-22-22-22-200000000-2-2222i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i0000-22-2200002ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ200000000−2ζ62ζ6−2ζ62ζ62ζ6−2ζ62ζ6−2ζ600000000000000000000
χ562-22-22-22-200000000-2-2222i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i0000-22-220000−2ζ22ζ2−2ζ22ζ22ζ2−2ζ22ζ2−2ζ2000000002ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ600000000000000000000
χ572-22-22-22-200000000-2-222−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i2i−2i0000-22-2200002ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ600000000−2ζ22ζ2−2ζ22ζ22ζ2−2ζ22ζ2−2ζ200000000000000000000
χ582-22-22-22-200000000-2-222−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i2i−2i0000-22-220000−2ζ62ζ6−2ζ62ζ62ζ6−2ζ62ζ6−2ζ6000000002ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ200000000000000000000
χ592-22-22-22-200000000-2-222−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i00002-22-20000000000002ζ6−2ζ62ζ6−2ζ6−2ζ62ζ6−2ζ62ζ600000000−2ζ22ζ2−2ζ22ζ22ζ2−2ζ22ζ2−2ζ2000000000000
χ602-22-22-22-200000000-2-222−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i00002-22-2000000000000−2ζ62ζ6−2ζ62ζ62ζ6−2ζ62ζ6−2ζ6000000002ζ2−2ζ22ζ2−2ζ2−2ζ22ζ2−2ζ22ζ2000000000000
χ612-2-222-2-222i2i−2i−2i000000002i−2i−2i2ii2−i2−i2i222−2−2−2−222i2−i2−i2i200002-22−2−22−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3000000000000
χ622-2-222-2-222i2i−2i−2i000000002i−2i−2i2ii2−i2−i2i222−2−2−2−222i2−i2−i2i200002-22−2−22−i2i2i2−i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3000000000000
χ632-2-222-2-222i2i−2i−2i000000002i−2i−2i2i−i2i2i2−i2−2−22222−2−2−i2i2i2−i200002-2−222−2i2−i2−i2i2ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ642-2-222-2-222i2i−2i−2i000000002i−2i−2i2i−i2i2i2−i2−2−22222−2−2−i2i2i2−i200002-2−222−2i2−i2−i2i2−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ652-2-222-2-222i2i−2i−2i00000000−2i2i2i−2ii2−i2−i2i222−2−2−2−222i2−i2−i2i20000-22−222−2i2−i2−i2i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3000000000000
χ662-2-222-2-222i2i−2i−2i00000000−2i2i2i−2ii2−i2−i2i222−2−2−2−222i2−i2−i2i20000-22−222−2i2−i2−i2i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3000000000000
χ672-2-222-2-222i2i−2i−2i00000000−2i2i2i−2i−i2i2i2−i2−2−22222−2−2−i2i2i2−i20000-222−2−22−i2i2i2−i2ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ682-2-222-2-222i2i−2i−2i00000000−2i2i2i−2i−i2i2i2−i2−2−22222−2−2−i2i2i2−i20000-222−2−22−i2i2i2−i2−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ692-2-222-2-22−2i−2i2i2i000000002i−2i−2i2ii2−i2−i2i2−2−22222−2−2i2−i2−i2i20000-222−2−22i2−i2−i2i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3000000000000
χ702-2-222-2-22−2i−2i2i2i000000002i−2i−2i2ii2−i2−i2i2−2−22222−2−2i2−i2−i2i20000-222−2−22i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3000000000000
χ712-2-222-2-22−2i−2i2i2i000000002i−2i−2i2i−i2i2i2−i222−2−2−2−222−i2i2i2−i20000-22−222−2−i2i2i2−i2ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ722-2-222-2-22−2i−2i2i2i000000002i−2i−2i2i−i2i2i2−i222−2−2−2−222−i2i2i2−i20000-22−222−2−i2i2i2−i2−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ732-2-222-2-22−2i−2i2i2i00000000−2i2i2i−2ii2−i2−i2i2−2−22222−2−2i2−i2−i2i200002-2−222−2−i2i2i2−i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3000000000000
χ742-2-222-2-22−2i−2i2i2i00000000−2i2i2i−2ii2−i2−i2i2−2−22222−2−2i2−i2−i2i200002-2−222−2−i2i2i2−i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3000000000000
χ752-2-222-2-22−2i−2i2i2i00000000−2i2i2i−2i−i2i2i2−i222−2−2−2−222−i2i2i2−i200002-22−2−22i2−i2−i2i2ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ762-2-222-2-22−2i−2i2i2i00000000−2i2i2i−2i−i2i2i2−i222−2−2−2−222−i2i2i2−i200002-22−2−22i2−i2−i2i2−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ772-2-22-222-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i2-22-22-22-2−2i2i−2i2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ782-2-22-222-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i2-22-22-22-2−2i2i−2i2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ792-2-22-222-22i−2i2i−2i2i−2i2i−2i2-22-20000−2i2i−2i2i-22-22-22-222i−2i2i−2i00000000000000000000000000000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ802-2-22-222-22i−2i2i−2i2i−2i2i−2i2-22-20000−2i2i−2i2i-22-22-22-222i−2i2i−2i0000000000000000000000000000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ812-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-22-200002i−2i2i−2i-22-22-22-22−2i2i−2i2i00000000000000000000000000000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ822-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-22-200002i−2i2i−2i-22-22-22-22−2i2i−2i2i0000000000000000000000000000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ832-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i2-22-22-22-22i−2i2i−2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ842-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i2-22-22-22-22i−2i2i−2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ854444-4-4-4-44-4-440000000000002222−22−2222−22−2222−222222−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ864444-4-4-4-44-4-44000000000000−22−222222−222222−2222−22−22222222−22−220000000000000000000000000000000000000000000000000000000000
χ874444-4-4-4-4-444-40000000000002222−22−22−222222−2222−22−2222−22−2222220000000000000000000000000000000000000000000000000000000000
χ884444-4-4-4-4-444-4000000000000−22−22222222−22−2222−222222−222222−22−220000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-444000000004-4-44000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-444000000004-4-4400000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-44400000000-444-40000444400000000-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-44400000000-444-40000-4-4-4-40000000044440000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-4400004-4-44000000002i2−2i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-4400004-4-4400000000−2i22i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-440000-444-4000000002i2−2i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-440000-444-400000000−2i22i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ974-4-44-444-44i−4i4i−4i−4i4i−4i4i-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-444-4−4i4i−4i4i4i−4i4i−4i-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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