Finite Group Databasebeta

← Group #507432

Character table — Group #507432

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222222224444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616224444444444
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
χ5111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-11-1
χ911111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ1011111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1
χ1111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ1211111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
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
χ18222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-22200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2000000000000
χ2322222222-2-2-2-222-2-2-2-2222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-222222222-2-20000000000000000-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2622222222-2-2-2-2-2-222222222-2-20000000000000000-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−2000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−22222000000000000
χ2922-22-22-2-222-2-22-222-2-200002-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002-22-200000000
χ3022-22-22-2-222-2-22-222-2-200002-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000-22-2200000000
χ3122-22-22-2-222-2-22-222-2-200002-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3222-22-22-2-222-2-22-222-2-200002-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ3322-22-22-2-2-2-2222-2-2-22200002-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000002-2-2200000000
χ3422-22-22-2-2-2-2222-2-2-22200002-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000-222-200000000
χ3522-22-22-2-2-2-2222-2-2-22200002-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ3622-22-22-2-2-2-2222-2-2-22200002-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ3722-2-22-22-20000002i−2i2i−2i2i2i−2i−2i0022−2−2i2i2−i2−i2i2i2−i2−i222−2−2002-200i2i2−i2−i222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ3822-2-22-22-20000002i−2i2i−2i2i2i−2i−2i0022−2−2i2i2−i2−i2i2i2−i2−i222−2−2002-200i2i2−i2−i222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ3922-2-22-22-20000002i−2i2i−2i2i2i−2i−2i00−2−222−i2−i2i2i2−i2−i2i2i2−2−222002-200−i2−i2i2i2−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ4022-2-22-22-20000002i−2i2i−2i2i2i−2i−2i00−2−222−i2−i2i2i2−i2−i2i2i2−2−222002-200−i2−i2i2i2−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ4122-2-22-22-20000002i−2i2i−2i−2i−2i2i2i0022−2−2i2i2−i2−i2i2i2−i2−i222−2−200-2200−i2−i2i2i2−2−222ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ4222-2-22-22-20000002i−2i2i−2i−2i−2i2i2i0022−2−2i2i2−i2−i2i2i2−i2−i222−2−200-2200−i2−i2i2i2−2−222−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ4322-2-22-22-20000002i−2i2i−2i−2i−2i2i2i00−2−222−i2−i2i2i2−i2−i2i2i2−2−22200-2200i2i2−i2−i222−2−2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ4422-2-22-22-20000002i−2i2i−2i−2i−2i2i2i00−2−222−i2−i2i2i2−i2−i2i2i2−2−22200-2200i2i2−i2−i222−2−2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ4522-2-22-22-2000000−2i2i−2i2i2i2i−2i−2i0022−2−2−i2−i2i2i2−i2−i2i2i222−2−200-2200i2i2−i2−i2−2−222ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ4622-2-22-22-2000000−2i2i−2i2i2i2i−2i−2i0022−2−2−i2−i2i2i2−i2−i2i2i222−2−200-2200i2i2−i2−i2−2−222−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ4722-2-22-22-2000000−2i2i−2i2i2i2i−2i−2i00−2−222i2i2−i2−i2i2i2−i2−i2−2−22200-2200−i2−i2i2i222−2−2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ4822-2-22-22-2000000−2i2i−2i2i2i2i−2i−2i00−2−222i2i2−i2−i2i2i2−i2−i2−2−22200-2200−i2−i2i2i222−2−2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ4922-2-22-22-2000000−2i2i−2i2i−2i−2i2i2i0022−2−2−i2−i2i2i2−i2−i2i2i222−2−2002-200−i2−i2i2i222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ5022-2-22-22-2000000−2i2i−2i2i−2i−2i2i2i0022−2−2−i2−i2i2i2−i2−i2i2i222−2−2002-200−i2−i2i2i222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ5122-2-22-22-2000000−2i2i−2i2i−2i−2i2i2i00−2−222i2i2−i2−i2i2i2−i2−i2−2−222002-200i2i2−i2−i2−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ5222-2-22-22-2000000−2i2i−2i2i−2i−2i2i2i00−2−222i2i2−i2−i2i2i2−i2−i2−2−222002-200i2i2−i2−i2−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ532-222-2-22-200002-200002i−2i2i−2i-2200002i−2i2i−2i2i−2i2i−2i00002i−2i000000002-22-22−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ542-222-2-22-200002-200002i−2i2i−2i-2200002i−2i2i−2i2i−2i2i−2i00002i−2i000000002-22-2−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ552-222-2-22-200002-200002i−2i2i−2i-220000−2i2i−2i2i−2i2i−2i2i00002i−2i00000000-22-222−22−22−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ562-222-2-22-200002-200002i−2i2i−2i-220000−2i2i−2i2i−2i2i−2i2i00002i−2i00000000-22-22−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ572-222-2-22-200002-20000−2i2i−2i2i-2200002i−2i2i−2i2i−2i2i−2i0000−2i2i00000000-22-222−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ582-222-2-22-200002-20000−2i2i−2i2i-2200002i−2i2i−2i2i−2i2i−2i0000−2i2i00000000-22-22−22−22−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ592-222-2-22-200002-20000−2i2i−2i2i-220000−2i2i−2i2i−2i2i−2i2i0000−2i2i000000002-22-22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ602-222-2-22-200002-20000−2i2i−2i2i-220000−2i2i−2i2i−2i2i−2i2i0000−2i2i000000002-22-2−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ612-222-2-22-20000-2200002i−2i2i−2i2-22-22-2000000002-22-2−2i2i00002i−2i2i−2i0000000000002i−2i2i−2i−2i2i−2i2i000000002-22-2-22-22000000000000
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χ632-222-2-22-20000-2200002i−2i2i−2i2-2-22-2200000000-22-22−2i2i0000−2i2i−2i2i00002-22-2-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
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χ652-222-2-22-20000-220000−2i2i−2i2i2-22-22-2000000002-22-22i−2i0000−2i2i−2i2i0000000000002i−2i2i−2i−2i2i−2i2i00000000-22-222-22-2000000000000
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χ682-222-2-22-20000-220000−2i2i−2i2i2-2-22-2200000000-22-222i−2i00002i−2i2i−2i0000-22-222-22-2000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
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χ702-2-2-2-22222-22-20000002-2-22002−2−222−2−222−2−222−2−2200002-22−2−222−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000000000
χ712-2-2-2-22222-22-20000002-2-2200−222−2−222−2−222−2−222−200002-2−222−2−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ722-2-2-2-22222-22-20000002-2-2200−222−2−222−2−222−2−222−200002-2−222−2−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ732-2-2-2-22222-22-2000000-222-2002−2−222−2−222−2−222−2−220000-22−222−2−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000000000
χ742-2-2-2-22222-22-2000000-222-2002−2−222−2−222−2−222−2−220000-22−222−2−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000000000
χ752-2-2-2-22222-22-2000000-222-200−222−2−222−2−222−2−222−20000-222−2−222−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000000000
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χ772-2-2-2-2222-22-220000002-2-22002−2−22−222−2−222−22−2−220000-222−2−22−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000000000
χ782-2-2-2-2222-22-220000002-2-22002−2−22−222−2−222−22−2−220000-222−2−22−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000000000
χ792-2-2-2-2222-22-220000002-2-2200−222−22−2−222−2−22−222−20000-22−222−22−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ802-2-2-2-2222-22-220000002-2-2200−222−22−2−222−2−22−222−20000-22−222−22−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ812-2-2-2-2222-22-22000000-222-2002−2−22−222−2−222−22−2−2200002-2−222−22−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000000000
χ822-2-2-2-2222-22-22000000-222-2002−2−22−222−2−222−22−2−2200002-2−222−22−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000000000
χ832-2-2-2-2222-22-22000000-222-200−222−22−2−222−2−22−222−200002-22−2−22−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ842-2-2-2-2222-22-22000000-222-200−222−22−2−222−2−22−222−200002-22−2−22−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000000000
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χ88444-4-4-4-44000000−4i4i4i−4i000000−22−2222222i22i2−2i2−2i2−2i2−2i22i22i22222−22−220000000000000000000000000000000000000000000000000000000000
χ8944-44-44-4-444-4-4-44-4-4440000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-44-44-4-4-4-444-4444-4-40000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-444-4-44-4-4400000000000022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ924-44-444-4-44-4-44000000000000−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ934-44-444-4-4-444-400000000000022−22−2222−222222−2222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ944-44-444-4-4-444-4000000000000−222222−2222−22−2222−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ954-4-444-4-4400004400000000-4-400004i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ964-4-444-4-4400004400000000-4-40000−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-440000-4-400000000444-44-400000000-44-440000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-440000-4-40000000044-44-44000000004-44-40000000000000000000000000000000000000000000000000000000000

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